diff --git "a/data/dm_maths/full_data/10462_11255.jsonl" "b/data/dm_maths/full_data/10462_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10462_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h - 6*h**2 + 13*h - h. Let z(w) = 6*w. Determine f(z(g)).\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2973*a**2 - 3293*a**2 + 2045*a**3 + 2046*a**3 - 4092*a**3.\nAnswer: -a**3 - 320*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108338307 by -36112769.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - ((-7)\/28 + 1\/4). Let g = -3095 + 3092. Put z, -4, g in descending order.\nAnswer: g, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14887, -29813, -44737, -59659?\n\"Answer: o**2 - 14929*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**3 - 288*f**2 - 3*f + 157. Let i be c(32). Solve -25*k = i*k - 258 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -33*r + 3. Let a(z) = 1. Determine -4*a(o) + q(o).\nAnswer: -33*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -45\/4543579 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 34 + 27 = 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048 and -0.96.\nAnswer: -0.04608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586611753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 18*n = -13*n + 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*h + n, -3*h + 2*h + 19 = -3*n. Put -100, h, -2, -3 in decreasing order.\nAnswer: h, -2, -3, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8674766 centuries in months?\nAnswer: 1040.97192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1435*m**2 + 739*m**2 + 824*m**2.\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 193659.228 hours?\nAnswer: 1152.7335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16188 = -5*s - 16058 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfff when four letters picked without replacement from {f: 10, e: 3, a: 2, l: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 4*w + 16, 2*w + 5*y = 6. Calculate the smallest common multiple of 22 and (2 - -16)*w\/(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9029\/18 + 504. Let f = 232 - 390. Find the common denominator of f\/16 + 4\/(-2) and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149625 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Suppose 13*c = 8*c + 50. Suppose -4*o + f = -5, -o + 3 = -3*f + c. Let i(t) = -34*t**o + 5*t**2 + 14*t**2. What is l(i(j))?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 927 - 464. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151 + 84 + 90 + 0*h + 2*h to the form z + j*h and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88562726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {c: 1, s: 1, p: 1, k: 2, e: 1, g: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:01 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 - 6*j**2 - 14*j. Let p(z) = 15*z - 5*z + 34*z**2 - 32*z**2 + 2*z**3 - 5*z. What is -4*m(n) - 11*p(n)?\nAnswer: 2*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 18.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 173\/23791 or -1?\nAnswer: 173\/23791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*3\/((-105)\/2). Let q = -145.03 - -144.53. Which is the fourth smallest value? (a) q (b) u (c) 14 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 41*y**3 + 665400*y**2 + 2699495325*y - 1975596750 = 0. Calculate y.\nAnswer: -8115, 30\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 12. Let l = -378 - -223. Let t = 1706\/11 + l. Which is the closest to -0.2? (a) t (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -563, -1152, -1755, -2366, -2979?\n\"Answer: a**3 - 13*a**2 - 557*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 8*v + 5*v)*(25*v - 36*v - 33*v).\nAnswer: -748*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in 17, -1.2, 0.2, -2\/11?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (80 + (38 - 25)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Collect the terms in -18*z + 4*z + 7*z + 5*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 22 + 22 + 311*g)*(4*g - g - 8*g).\nAnswer: -1555*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(0 + -23 - -2). Suppose -5*x = -19 - r. Solve c = -4*a + 24, 4*c = c + 4*a - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 2*v + 2768. Let y be j(0). Suppose -y - 2867 = -5*c. Let p = c + -600. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -3*t. What is the greatest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 1, t: 2, q: 1, i: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 - -8 - (-65 - -61)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -254. Solve -m = -v*t - 3, -4*m - 2*t + 5*t = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 34. Sort 12, f, -2 in decreasing order.\nAnswer: 12, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let q(h) = -441*h**2 + 3*h. What is q(k(b))?\nAnswer: -441*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 36.47856\nAnswer: 36.97856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256\/4833 - -60815687\/38664. Suppose 2*i + 2180 + 986 = 0. Let w = d + i. What is the common denominator of -41\/36 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.62 - 10.62. Sort 13\/8, 1, n, -3\/7 in ascending order.\nAnswer: -3\/7, 1, 13\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3299 divided by -221056\nAnswer: -3299\/221056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*x**4 - 7*x**4 - 6*x**4)*(-2 - 5*x + 4*x - 12).\nAnswer: -26*x**5 - 364*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 113. Calculate the remainder when o is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383 - 33*t**3 + 383 - 6*t**3.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 1665.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2790175 years to centuries.\nAnswer: 0.002790175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x**3 + 8*x - 4*x**3 + x**2 + 4*x**2 - 2 - 4. Let i be r(-6). Let p = i - 518. Round p to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 211078110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299) + 4 - -4*(sqrt(2299) + sqrt(2299) + sqrt(2299)*-1 + sqrt(2299)))**2 - ((sqrt(2299) - (sqrt(2299) + sqrt(2299) + 1)*-1)*-6)**2.\nAnswer: -632245 - 1760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*m - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqjqfjjjtq. What is prob of picking 3 t and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 6. Let n = l + 11. What is the tens digit of 64\/3 + 2\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 + 3*z**3 - 2157*z - 20*z**3 + 1 + 2199*z to the form b*z + f*z**3 + u + s*z**2 and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -671*n - 122*n + 10309 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -19*g**6\/60 + g**5\/30 - 19*g**3\/2 - 57*g**2. Find the first derivative of r(y) wrt y.\nAnswer: -114*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203 (base 5) to base 3.\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453825 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5069, 5048, 4983, 4850, 4625, 4284, 3803, 3158?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/81 + 292\/(-18). Let h be 309\/12 - (-12)\/u. Solve -3*f = o + f + 16, h = -4*o - 3*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -39. Let u be 14*(12\/9 - 32\/(-21)). Let i = n - u. Solve -5*o - 17 = -w, -2*w = -3*w - 5*o - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*f - 11, -3*c + 14 = -5*f - 3. What is the highest common factor of 126 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16767 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -26. Solve 15 = -5*b - 5*w, 3*w + 8 = o*b - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 14, -2\/13, 6\/11, 439, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 3. Let y be t(-2). Suppose -6*r = -y*r. Solve m + 4*h - 9 = r, 0 = 8*m - 4*m + 2*h - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10227 and 21560.\nAnswer: 31499160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:52 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 - 2 + 2)*(6*l**2 - 8*l**2 + 12*l**2)*(-3 + 0 + 5) as y*l**2 + s*l**3 + r*l**4 + h*l + p and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3860 and 34.\nAnswer: -3826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -8215, 1\/7, -2\/7, 2, -0.0585?\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (168\/3080)\/(18\/60). Is 336 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180015427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 129462299 to the power of 1\/2, to the nearest integer?\nAnswer: 11378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -4357100?\nAnswer: -4357088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) -105.827 (b) 1\/4 (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 - -257. Let l(s) = 84*s - 42. What are the prime factors of l(i)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -2\/3, 604, -2\/15.\nAnswer: -124, -2\/3, -2\/15, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35801587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22551\/19 + 1187. Let f = 13 + -13. Sort i, -23, -0.5, f in descending order.\nAnswer: i, f, -0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3502134 + 4131?\nAnswer: 3510305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74524034 (base 8) to base 12.\nAnswer: 53aab90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/2*232\/(121800\/(-105)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-5) - -9*32\/(-72)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 9 + 19)*(0 + 2 - 3)*(0*a**4 - a**4 + 0*a**4).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w + 1. Let p = 10 + -8. List the prime factors of d(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 2. Let a be v(-7). Let o(n) = -n - 12. Let t be o(a). Solve 3*k - 5*k + 4 = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.9, 0.1, 69, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**32*((z*z**(-2))\/z)**(13\/5))**(1\/14) assuming z is positive.\nAnswer: z**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.43 (c) 34.7 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202634 is divided by 8104.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-2)\/(-2))*9\/297\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -4) + 4 - (-17 + -4260)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 309*o - 17221. Determine f(56).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2))**2 + sqrt(10)\/(sqrt(2) + sqrt(8)).\nAnswer: sqrt(5)\/3 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239239826.\nAnswer: 2, 409, 647, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let a(h) = 3*h**2 - h. Let l be a(2). Let o = 5 - l. Let t(n) = -2*n. Let c be t(-3). Let p(y) = y - 1. Calculate c*z(b) + o*p(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234773 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Which is greater: 103797 or -0.16?\nAnswer: 103797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001 (base 2) in base 12?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 23*y**4\/2 + 23*y**3 + 79*y**2\/2 - 76*y + 26 = 0 for y.\nAnswer: -13, -2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/15, -0.2, 0.1 in descending order.\nAnswer: 0.1, -1\/15, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 + 2*u**3 + 2*u**2 + 99*u. Calculate t(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19454 and 1035583?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -153, -188, -191, -156, -77, 52, 237?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 + 1.34. Is 22 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 645737.9 weeks?\nAnswer: 390542281920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.4 - 0.4. Let s = 16 - o. Which is the nearest to s? (a) -0.3 (b) 1\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*x = 14 + 10, 4*g + 4*x - 2*x = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 2, 8, 6, -10, -46, -108, -202?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w. Let k(i) = 91*i. Let s(h) = -26*j(h) + 3*k(h). Let q(o) = -8*o**2. Calculate q(s(z)).\nAnswer: -1352*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 16\/15 (b) -23 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w - 77 - 5*w + 78 + 6*w to the form l*w + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 2\/5*s**5 + 0*s**2 - 1\/15*s**6 + 1\/6*s**4 - 4\/3*s**3 + 29*s + 0. Determine g so that u(g) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-4104)\/(-96)))\/(8\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-12))\/(-1) + (16 - 12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34590 - 25*k**2 + 34590.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Suppose -3*y + 36 = 4*b, 2*b = -j*b + 3*y + 72. Let n = -246 + 282. What is the highest common divisor of n and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5607.095 nanograms?\nAnswer: 0.000005607095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*z**2 + z + (0 - 8 + 3)*(-5*z + 2*z - z)*(z - 11*z - 19*z).\nAnswer: -578*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let w(b) be the third derivative of -124*b**2 + 0*b**3 - 269\/24*b**4 + 2 + 0*b. Determine v(w(f)).\nAnswer: 72361*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -39*g**2 + 4. Let b(d) = -d**2 - 8*d. Let y(a) = 2*a. Let k(v) = -b(v) - 4*y(v). Determine o(k(x)).\nAnswer: -39*x**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(1\/7)\/w)\/w*w))\/(w*w\/(w*w**(1\/9))) assuming w is positive.\nAnswer: w**(-2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-4) + 1\/(-4). Suppose -5*t = -5*n, -t = -j*n + 13 - 5. What is the third derivative of 0*x**t + 2*x**5 + 2*x**2 + 0*x**4 wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4 = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3531 + 3534. Solve 10 = f - 2*r + 7*r, -6 = 3*f + n*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/42)\/((-1)\/(-10)*150\/45)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -34, 100 in descending order.\nAnswer: 100, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -43 - 16\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 15705306*n\/11 - 47115936\/11.\nAnswer: 2*(n - 3)*(n + 7852656)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*y**4 - y**3 + 21435*y - 95002138.\nAnswer: -228*y**3 - 3*y**2 + 21435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 5*p - 25. Let l be (0 - 1)\/(0 - 1). Let i be (2 + p)\/(-1*l). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 114\/18)\/(3\/(-54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z + 360 = 0. Is 4\/9 - 1940\/z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:12 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*v - 21, 3*t + 2*v = -2*v - 14. Let b be (-60)\/t*72\/(-10). Let z(j) = -4*j + 4. Let a be z(-5). What is the highest common factor of a and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*c + 66632 - 65102 + 2*c**2 - 27*c**2 = 0. Calculate c.\nAnswer: -102\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2602 and 9.3.\nAnswer: 9.0398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 111. Let y = t + -53. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 8*n**2 + 7*n + 2. What is the remainder when 57 is divided by r(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*(i**(15\/8)*i)\/i)\/i*i**42*(i**(-5\/12))**(-1) assuming i is positive.\nAnswer: i**(1087\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 2066748 + 512894. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 12757, 0, 3 in descending order.\nAnswer: 12757, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84077 is divided by 182?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1041*p + 4. Let w be z(-10). Let s be w - (-1 + -3) - -2. What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 553667270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 58. Suppose 158 = 4*i + y. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 502, -9, 18.\nAnswer: -9, -5, -4, -2, 18, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)*p**(1\/15))**(-1\/22)*((p**(-5)\/p)\/(p*p**(-1\/2)*p))\/(p**6*p\/(p*p\/(p\/(p\/(p\/(p\/(p**6\/p*p*p)))))*p)) assuming p is positive.\nAnswer: p**(-58022\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 0*m**2 + 0*m**2)*(-2*m - 3*m - 4*m) + (0*m**3 + 0*m**3 - m**3)*(0*m + m - 3*m) + 0*m**3 + 0*m**3 + m**4 + 5*m**4 - 5*m**2 + 5*m**2.\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:27 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1085197276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 22\/29 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 10 + 16 - 6*b**4 + b**4 - b**2 to the form k*b**4 + s*b + p*b**2 + z*b**3 + n and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 67489.\nAnswer: 80986.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9738)\/(-18935)*(-112)\/360\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 17. Suppose -w*o + 15 = -o. Suppose o = i - 8. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-27) - 17\/(-3). What is the units digit of ((-12)\/j)\/(9\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 - 5. Let t(l) = -151*l - 126*l - 117*l + 395*l - 100. What is t(f(o))?\nAnswer: -3*o**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -104.727.\nAnswer: -20.9454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 1. Let d be (1\/(-5))\/((-1)\/5). Let z be d\/4 + 54\/(-24). What is the units digit of x(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2 - f - 4 + 6. Suppose 4*y - 24 = 4*w, 0*w + 17 = 3*w + 4*y. Let j(a) = -14 + 5 + 32 - 12 - 10. Give w*c(b) + 4*j(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001974789819 to seven dps.\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 times -91877\nAnswer: -1378.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-320)\/(-10752) - (-4 + -3*(-164)\/126). Which is the nearest to i? (a) -6 (b) -1\/4 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3091628 and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/7 (b) -0.1 (c) -3\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + 2\/4. Let b(r) = -r**2 - 4*r - 8. Let h(p) = -p - 1. Let g(s) = b(s) - 6*h(s). Give g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12002 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(120)\/sqrt(6) + (sqrt(405) - sqrt(405)*1).\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111010110011011 (base 2) to base 3.\nAnswer: 11212012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*p + 116. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 - o. Let g be u(-1). Let p be 2 - (42\/(-2))\/1. Let m = g + p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 65 = -2*k. Let r = -19 - k. Let z be -1 - ((-10)\/r - 2). Which is the closest to -2\/5? (a) 1 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*a - 2 + 2 + (4 - 1 - 1)*(a - 4*a + a) + 3*a + 6*a - 3*a + 15*a - 5*a - 6*a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -128.\nAnswer: -20.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*w + j - 2*j, 5*w - 224 = 4*j. Let u = 76 - w. What is the remainder when u is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 37. Is (-4404)\/(-15) + (-6)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Suppose 3*t = -m*i + 1, i - 2*i - 5*t - 13 = 0. Let d(n) = -i + 0 - 5*n + 1 + 14*n. What is d(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*v = -21, -9*w + 1 = -4*v - 84 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9787.657 centuries to decades.\nAnswer: 97876.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208865 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d - 183. Let o be z(25). Suppose -13*g = -o*g + 1852. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.2, 114, 2\/3, -2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 645195877\/11268 + -165922\/313. Let d be -4 - -3 - -38*1493. Let u = s - d. Find the common denominator of u and 29\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 24, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -28. Let h be n\/10 + -1*(-4)\/20. Put h, 5, -2 in decreasing order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*q + 3*k + 2, -3*q = 5*k + 28. Let o = -0.2 - 0.8. What is the third biggest value in -0.5, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 + 3\/1 - (-2 - -4). Suppose -29 = h*w + 56. What is the smallest common multiple of 1 and ((-1)\/((-3)\/(-42)))\/(3 + w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-3)\/(9\/2). Let g(c) = -c**2 + c + 40. Let y be g(0). Let l = y - 37. Solve l*h + m*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003668307023 rounded to seven decimal places?\nAnswer: 0.0003668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*a + 832 + 561 + 1103 = -735 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31734 + 49473308\/1559. Let a = 1547\/9354 + k. Factor 0 - 1\/6*w**2 - a*w.\nAnswer: -w*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w**3 - w**2 - 3*w - 1. Suppose 2*s + 3*f = -2*f + 8, -2*s + 6 = 4*f. What is the least common multiple of 4 and b(s)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*w - 3*w - 186, 2*z - 402 = 2*w. Let k = -91 - w. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:16 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c**3 + 6*c**2 + 17*c - 40. Let x be g(-29). What are the prime factors of 48\/(-22) + 2 + x\/528?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d + 143. Calculate f(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 31*w - 6. Let g(d) = d**3 + 13*d**2 + 62*d + 13. Let z(u) = 13*a(u) + 6*g(u). Find the second derivative of z(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -21525.37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32783, 19, -1, 5, 1, -5.\nAnswer: -5, -1, 1, 5, 19, 32783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n - 12. Let u(v) = v + 1. Let l(s) = -d(s) - 3*u(s). Differentiate l(r) with respect to r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:13 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtssstys. Give prob of sequence tv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 5*u - 24. Let v be 22\/(-77)*(-2)\/u. Let g = -157\/295 - 4\/59. Which is the smallest value? (a) 2\/15 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28\/3 + -10. Which is the nearest to t? (a) 1 (b) 1\/3 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(416)*1)\/sqrt(8))\/(sqrt(324) - (sqrt(324) + (sqrt(324) - (sqrt(324) - (-1*sqrt(324) + sqrt(324))))) - sqrt(24)\/(-1*sqrt(6))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.521 + 21.179. Let m = h + -19. Let x = 0.7 - m. Are -2 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -133707750.\nAnswer: 133707745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1281543 and -6.\nAnswer: -7689258","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 80.3007ml in litres?\nAnswer: 0.0803007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 2. Let f be y(-1). Calculate the least common multiple of 22 and (8\/6)\/(f\/54).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and -10627.\nAnswer: -10611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10373*b**5 + 9*b - 40 wrt b?\nAnswer: -207460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = y - 40, 0 = -3*y + 2*h + 24 + 83. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27741 is divided by 1259?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -479 (b) -0.3 (c) 56567\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3426 and 6?\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + -202. Calculate the common denominator of 99\/30 + 2\/1 and (333\/200)\/(p\/195).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 13*k + 20. Let c be p(-14). Let w = 11 - c. Solve 3*j = -5*i + w*j - 14, -j - 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o**3 - 3*o**2 + o + 2. Calculate h(2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58673680 and 6318704.\nAnswer: 410715760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2 and -101\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834539847 to the power of 1\/3, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2 + 7\/1). Suppose 3*b = -0*b - 18. Let i = b + 5. Is i equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32433713 by -22889.\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15673718 to the nearest integer?\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2203*c**2 - 11 + 2208*c**2 - 8*c**3 - 4411*c**2.\nAnswer: -8*c**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -2. Let d be 2 - (-1)\/(1\/f). Let q be (-1 + d\/3)\/2. Sort 1\/6, 0.5, q.\nAnswer: q, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6225083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -50624067.\nAnswer: 4\/16874689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.4. Let c = 109 - 109. What is the second biggest value in c, -5, 1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -18 (b) 21 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from kdjhddjkkjjj.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 52. Suppose -22 = -8*f + x. What is the hundreds digit of (303 - 1)\/(3 + -5 + f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 13878 - 14553 = 0. Is i a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22575 smaller than 22587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/36)\/((-5)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - (-20850)\/120. Suppose 0 = t - 5 + 3. Suppose 0 = t*o + 5*h - 48, 3*o + h - 3*h - 91 = 0. Calculate the greatest common factor of o and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/36 + 2\/((-72)\/(-332)). Let r(u) = u**3 - 9*u**2 + u + 3. Let x be r(z). Is (-2 + -1 - -1)*(-7542)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2430)\/(-7155))\/(210\/70490).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -4a8899?\nAnswer: -4a8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*l - 50. Suppose -q = -l*q + 162. Let w = q + -11. Calculate the highest common divisor of w and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + l - 11. Calculate t(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**6 + 0*g**4 - 5 + 0*g**2 + 0*g**5 + 14\/3*g**3 + 0*g. Find the third derivative of l(f) wrt f.\nAnswer: -720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63.0603l?\nAnswer: 63060.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 34.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 296*f - 9. Let z be r(2). Suppose -5*k = 4*g - z, 5*g + 4*k = 4*g + 143. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 998.369 to the nearest 10.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -368 - -368. Suppose 4*y - 12 + 32 = h. Sort y, 5, -11 in decreasing order.\nAnswer: 5, y, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 995 in decreasing order.\nAnswer: 995, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12749721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 - 142.07. Let j = 0.07 + g. Let f = -1 - j. Which is bigger: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 2*g**7\/105 - g**6\/15 + g**5\/15 - 19*g**2\/2 + 16*g. Let z(j) be the first derivative of i(j). Factor z(u).\nAnswer: 4*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-42) + 27577\/66. What is the closest to g in -2, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from bdbbbbbbdbbb?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*d - 100*d - 27*d + (0 - d + 0)*(6 - 4 + 0) - d + 4*d + d in the form j + o*d and give o.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*i + 67 - 8, -5*i = -5*q + 205. Calculate the highest common factor of 748 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-91)*2\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118070894\/1425 + -248570\/3. Let c = p - 1\/950. Sort 4, c, -8.\nAnswer: -8, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30\/653 - -12637\/289279. Let h = 10203\/6202 + z. What is the common denominator of -59\/72 and h?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.846882cm?\nAnswer: 58468820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 0*h = 48. Solve 2*a = h*c - a + 2, a - 8 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4481 is divided by 4382.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 + -192. Suppose 0 = w + p - 16 - 2, m = 5*w - 3*p. Solve 0 = 2*y - 3*z - 4 - 19, -w = -2*y + 2*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 36*y**3 - 6*y**2 + 18034*y + 18039. Give p(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55\/2 of a day?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 740360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92 + 187 + 56*d**2 - 102 + 69*d**2 + 13*d**2 to the form w + s*d + y*d**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 1, p: 1, k: 2}. What is prob of picking 1 g, 1 f, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 2 i when four letters picked without replacement from {i: 4, d: 3, x: 1, k: 2, w: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 664.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*n - 96. Suppose -n*l + 2878 = -2914. What are the prime factors of l?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) 94 (b) 3 (c) 340\/11 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.4 and 161.\nAnswer: -1674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 568650 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.8 (c) -1 (d) -6 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45028859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 - (6 + -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 200*z**2 + 563*z - 15469. Calculate r(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -m - 79, 2*m + 3*m - 69 = 4*k. Suppose -4*y - 4*g = 20, 0 = -y + 3*g - 15 - 2. Does 2 divide k\/y*3*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82430, 82431, 82432?\nAnswer: 82433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 3 - 3 + 0. Let m(u) = -u**2 - 4*u + 3. Let g(f) = -5*i(f) + m(f). What is the units digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6223891, -6223905, -6223935, -6223987, -6224067, -6224181, -6224335, -6224535?\n\"Answer: -i**3 - 2*i**2 - i - 6223887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blb when three letters picked without replacement from bbblbblbblblbl.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13536.17 litres?\nAnswer: 13536170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*p**5 - 1344814*p**4 - 25535632*p?\nAnswer: 480*p**3 - 16137768*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((210228\/441)\/4)\/(2\/(-69)). Let f = 4112 + c. Find the common denominator of f and -107\/140.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -h + 5*k - 0*k, -14 = -3*h - 4*k. Suppose -g - 10 = m - 2, 0 = -3*g - 6. Let f(a) = -a - 6. Let u be f(m). Solve h*y + u*y = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2182 + 2182 - 9*u to d + l*u and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c**2 + 30983*c + 61964. Determine r(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 734 + -554. What is the third derivative of -9 + 10*a**2 - 13 + 8 - 7*a**2 - l*a**4 wrt a?\nAnswer: -4320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0 + f**2 + 0 - 5*f - 7. Let y(j) = j**2 - 5*j - 8. Let a(r) = -4*u(r) + 3*y(r). Let v be a(5). Solve -v*d + 2*d = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose -3*i - 4*d = -29, -l*i = -i - 5*d - 27. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -345, -522, -701, -882, -1065, -1250?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*a + 189*a = -25225. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - (3 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 + a - 1. Let t(r) = -4*r**3 - 20*r**2 - 142*r + 6. Give -2*t(p) - 10*v(p).\nAnswer: -2*p**3 + 274*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*i - 151, -2*z = 5*i - 243 - 69. What are the prime factors of z?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17067 (base 16) in base 12?\nAnswer: 466b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 30202 = 4*d, -2*a + 4*d - 6441 + 36675 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 - (-1 + (2 - 6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4.1+-32.216\nAnswer: -28.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72760, -73147, -73534, -73921?\n\"Answer: -387*r - 72373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11077, -22154, -33231?\nAnswer: -44308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009050557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6650 and 10850.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104467 is divided by 5483.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0313 + 2.3513. Let p = 2.68 + x. What is the second smallest value in p, -2\/13, 97?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152045590 is divided by 15147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*q - 0*q - 23, 9 = -q + 3*w. Let y be q\/(-16 - -4)*-4. Put 3, y, 1 in increasing order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*l + 324 + 662 = 198 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -46098.\nAnswer: 5\/46098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 + 4*h**2 + 11*h. Let m(g) = -25*g**3 + 21*g**2 + 58*g. Determine -11*b(c) + 2*m(c).\nAnswer: 5*c**3 - 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.28 + -4.279364. Round v to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 21. Calculate the remainder when 23 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1847257.5 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/2)))\/k*k)**(-4\/3)*(k\/(k*(k**0\/k)\/k))**(-2\/9)*((k\/(k**(-1\/2)\/k))\/k*k*k)**45\/((k\/(k*k**(-2\/11)))\/k**(-4)) assuming k is positive.\nAnswer: k**(30137\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 3*y - 5. Let m(l) = 9*l**2 + 5*l - 9. Let v(t) = -t**2 - 16*t + 24. Let h be v(-17). Calculate h*r(x) - 4*m(x).\nAnswer: -x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5599870, 11199738, 16799606?\n\"Answer: 5599868*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2 + 12*x - 259. Give i(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 - 11*u + 10. Let a(r) = 14*r**2 + 32*r - 36. What is 6*a(g) + 17*q(g)?\nAnswer: -g**2 + 5*g - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/33, 0.072, -123, -3\/2, -2\/5?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/4 (c) -4\/551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3217741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 57289?\nAnswer: 5728.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(128))**2 + (sqrt(24)\/sqrt(4))\/sqrt(3).\nAnswer: sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9998?\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyu when four letters picked without replacement from {y: 3, u: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2900*b + 23829 + 153381 = -60590 for b.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1194 divided by -26110.\nAnswer: -597\/13055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0456627809 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757294?\nAnswer: 2, 79, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 49*a - 984. Let f be h(20). Let g(m) = -11*m**2 + 19*m + 11. Let i(k) = 5*k**2 - 9*k - 5. Determine f*g(v) - 9*i(v).\nAnswer: -v**2 + 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.98*-2180.2.\nAnswer: 32659.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 - 1.66. What is the third smallest value in 2\/5, 2, n, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4 - 21 = 4*j, -3*v + 1 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**7\/630 - c**6\/180 + c**4\/36 + c**3\/18 - c**2\/2 - 3*c. Let k(r) be the first derivative of w(r). Factor k(l).\nAnswer: -(l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1053))*-4 - (sqrt(1053) + (0 + sqrt(1053) + sqrt(1053) + sqrt(1053))*5) - (-1 + sqrt(1053) + -1 - sqrt(1053)*-2*-6))**2.\nAnswer: 324*sqrt(13) + 85297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 6 - (34 + -8). Let q be (-1)\/(3 + 66\/g). Find the second derivative of 20*j - 31*j**4 + 19*j - q*j**4 wrt j.\nAnswer: -456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 12*h**2 + 13*h - 22. Let y be p(11). Suppose -g = t - 163, y*g = -2*g - t + 325. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2 - 22446*k - 246543 = 0.\nAnswer: -7471, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4, 9.1, 0.3, 2.4 in descending order.\nAnswer: 9.1, 2.4, 1\/3, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7620)\/20320*((-35)\/(-20))\/(-7)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*s = 39, -3*s + 693 = -653 + 1331 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*p - 106*p - 5*p**2 + 67 - 67 in the form i*p + j + o*p**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1347305.5 and 69537.\nAnswer: -1277768.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/240 - q**4\/4 - q**3\/6 + 5*q**2. Let p(n) be the first derivative of j(n). What is the derivative of p(t) wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 779 and 137375871?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f**2 - f**3 - f**2 + 0*f**2 - 2*f**2 to y*f**2 + l + v*f**3 + h*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 1, f: 1, q: 4, y: 1}. What is prob of sequence vfx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2165.8 + -2167. Which is the second smallest value? (a) -1\/10 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -28126?\nAnswer: 28124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 594*a**2*c**3 + 9583206*a**2*c + 306*c**5 wrt c?\nAnswer: 3564*a**2*c + 6120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/59 and 37\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q + 100. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 622.254371 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 15. Let z be b(-15). Let t = 17 + z. Solve 2*n = -h + 5, -3*h + t = h + 5*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -i - 0*i. Let u(s) = s**3 - 14*s**2 - s + 14. Let n be u(i). Solve -5*j + 10 + n = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 5*i - 8. Let o be d(-6). Let h = 45735 - 45732. Sort h, o, 12.\nAnswer: o, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1350 divided by 135\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 9*c + 109. Let g(l) = -2*l**2 - 3*l - 37. Give -8*g(q) - 3*r(q).\nAnswer: q**2 - 3*q - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641292 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/((x*x*x**(1\/5))\/x))\/x))\/((x*x\/(x*x**(2\/13)*x*x)*x)\/x)*x**6\/(x\/(x\/x**(-1\/2))) assuming x is positive.\nAnswer: x**(1151\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2242632 and 747544.\nAnswer: 2242632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 33, 48, 69, 96, 129?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 0.13 in increasing order.\nAnswer: -0.3, 0.13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/h)**(-10) assuming h is positive.\nAnswer: h**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, -2\/11, 18\/77?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from {f: 2, m: 4, h: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 626685318 by 3.\nAnswer: 208895106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(12) + 1.\nAnswer: 1 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 19*g**2 - 19*g + 5. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.98 + -1.98. What is the closest to g in 20, 1\/6, 10\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amx when three letters picked without replacement from {m: 2, a: 10, x: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2730 = -5*h, -3*h + 7*q - 1641 = 5*q. Let i = h + 557. Which is smaller: i or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1161*o**3 + 5 + 9*o + 26*o + 11 + 172*o**3 wrt o.\nAnswer: -5934*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)*t**(-2\/3)*(t**1\/t*t)\/(t**4*t) assuming t is positive.\nAnswer: t**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*m*v*y**3 - 3*m*v*y - 2*m*v - m - 12*v*y**2 - 3*v - 387 wrt y.\nAnswer: -54*m*v*y**2 - 3*m*v - 24*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 511 - 173. Let t = i + -230. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8152135 months to decades.\nAnswer: 0.0234601125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 4*t + 2*t)*(-1 - 2 - 1) + t + t + 2*t to h*t + q and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22711227 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -9*y**4\/4 + 2*y + 2. Find the first derivative of s(h) wrt h.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -7)\/(1\/22). Is k\/4*(5 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + 10. Let k = h - 92. Solve -w + 20 = -k*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (-58 - -62).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-154)\/77 - 9\/(-2)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 2, m: 1, l: 3, c: 1}. What is prob of sequence mvdd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 49 = -9*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6589 - 6569 - 131\/5*1.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 2*a**2 - 4*a - 2. Let r(z) = -z**2 + 1. Suppose -i + 3*i + 7 = -5*m, 0 = -3*i - 4*m - 7. Let p be r(i). Suppose p*t = 5*t + 10. What is n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a + 419 = -10*a - 201 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/220)\/((1632\/85)\/(-48)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1894 - 1894 - 5956*b as q*b + h and give q.\nAnswer: -5956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.63261 litres?\nAnswer: 13632.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123 a factor of 1994781555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7, x: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/9, -2\/19, 1\/25, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 13. Let a be (-6)\/(-14) + 13596\/(-462). Let v = a - y. Which is smaller: v or -11\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, -1, 821.\nAnswer: -1, 3, 18, 821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1040)\/52*2\/(-56*1).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, -0.1, -2\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14639, 116968, 394715, 935588, 1827295, 3157544, 5014043, 7484500?\n\"Answer: 14618*b**3 + b**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6307062 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*z + 23*z**2 - 44*z + 48*z**2 + 140*z to the form q*z + g*z**2 + f and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = n - 5*n + 3*c, 5*c - 23 = n. Suppose -n*b = -3*b + 7. Let p(a) = a**3 - 6*a**2 - 7*a + 6. What is the least common multiple of 6 and p(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k - 0. Suppose -k*r = -28 + 20. Suppose -r*q = -q - 23. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(28)*1 - sqrt(28))\/sqrt(4) - sqrt(7)) + 2*sqrt(14)\/sqrt(2).\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 31 + -34 - (17 - (-22 - -17))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)\/u**4*(u*u**(2\/7)*u)**(-19))**(-5) assuming u is positive.\nAnswer: u**(18330\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (469\/102711)\/(2 - 26\/12).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 157*c**3 + 5*c**2 - 3*c - 10. Let d be (3\/5)\/((-1)\/5)*-1. Is f(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)\/a)**(-42)\/((a*((a*a*a**(-2\/19)*a)\/a)\/a)\/((a\/((a\/(a**(-12)\/a*a))\/a*a))\/a)))**(-9\/7) assuming a is positive.\nAnswer: a**(-369\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 11*i**2 - 202*i + 122. Calculate h(0).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4753449, -4753447, -4753443, -4753437?\n\"Answer: l**2 - l - 4753449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzq when three letters picked without replacement from dqqqqdqqqdqqdqzz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391916111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 47. Let y be u(-19). Suppose 4*i = -y + 66. What is the second derivative of 4*g**2 - 5*g**2 + i*g**2 - 35*g wrt g?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 36 = -20*i + 16*i + 5*n - 32*n, 12 = 2*n + n for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43018303 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48920?\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -3*v**2 + 1\/48*v**4 + 1\/240*v**6 + 0*v**3 - 1\/60*v**5 + 0*v + 0. Factor q(y).\nAnswer: y*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241592 + 28216 = 112*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 - 21 = 19*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(4 + -3) - 1572. Round i to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14*a**2 + 132*a + 325. Give y(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16\/3, -0.4 in descending order.\nAnswer: -0.4, -2, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1908352 and 56128.\nAnswer: 1908352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000158245 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 0 + 0 - 38*v**3 + 5*v**2.\nAnswer: -42*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.5904l in millilitres?\nAnswer: 333590.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -4800?\nAnswer: -47aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -16.1. Let g = -0.8 + l. What is the smallest value in g, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*17*9\/(-6). What is the greatest common factor of o and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.21884 - 3.288. What is l rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/210 + w**4\/168 - 5*w**2. Suppose k(o) = 0. Calculate o.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -23*i**4\/6 + 7*i**2 - 36*i. What is the derivative of g(m) wrt m?\nAnswer: -92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -90. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/5)\/(k\/((k\/k**(-9))\/k)*k*k)*k*k**(-7)*k*k\/k**10 assuming k is positive.\nAnswer: k**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 9*f**2 - 10*f + 3. Let z be m(-10). Which is the nearest to 1? (a) 0.3 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + q - 2188, 3*f + 30*q - 32*q = 1652. 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 nearest to -1 in -75.4, -5, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 1. Let p = c + 4. Let t be 1\/((-1)\/5*p). Solve 5 - 15 = -t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 10 (c) -1.073 (d) 2 (e) 3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11342210*n**3*p**2 - 121447*n**3*p - 2*n*p - 2*n - 2 wrt p.\nAnswer: -22684420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -277c3c (base 14) in base 12?\nAnswer: -55a73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*2*sqrt(204) + sqrt(204) - 6*sqrt(204)*2)\/(sqrt(1452) + (sqrt(1452)*-2*2 - sqrt(1452))).\nAnswer: -45*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - ((-3 - 3) + 10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47667383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3)*9\/(-3). Suppose -2*b - l + 3 = 0. Suppose -4*f + 5 - b = 0. Let k(x) = -2*x - 1. Calculate k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2429047 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + w**3 + 0*w**3)*(-w + 0*w + 0*w)*(-55 + 662 - 115).\nAnswer: 1476*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253886 is divided by 2641.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 71.3. Let o = h + -66.2. Is o at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 4858 - 4922 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((1*sqrt(77) + sqrt(77))*-3 - sqrt(77)) + sqrt(77))*-2)\/(5*1*sqrt(700)) + 2)*-3)**2.\nAnswer: 216*sqrt(11)\/25 + 26064\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:29 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvdvln. Give prob of sequence dl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6563, -1993, -3 in increasing order.\nAnswer: -6563, -1993, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/34950 and -137\/30.\nAnswer: 34950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 less than -48838.66?\nAnswer: -50517.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 0 = 24*w - 2992. Put 0, w, -2, -4 in decreasing order.\nAnswer: w, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 24 = -3*o + 4*s, -5*o - 2*s - 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38097 - 152391\/4. Which is the third smallest value? (a) -190 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*f + 10, 2210*f - 2207*f + 2 = -v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (39 - -11) + -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301728069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 7*x**5\/20 - x**4\/6 - 7*x**3\/6 + x**2 + x. Find m, given that t(m) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119767 minus 0.042?\nAnswer: -1119767.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 122*i - 1 - 122*i. Let n be (3\/(3\/4))\/1. Let m(z) = 4 - 2*z**2 - z**2 + z**2. Give n*s(g) + m(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*x - 6. Is 13 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53641 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/(10*(-10)\/(-150)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + -0.077. Let v = s + -0.433. Let w be 2\/(-5)*5\/3. Put v, 0.1, w in increasing order.\nAnswer: w, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**3 + t**2 - t - 2. Let o be (24\/(-180)*-15)\/(-1 - 1). Determine u(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, v: 7, d: 8}. Give prob of sequence adav.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1703, 6899, 15889, 28943, 46331, 68323, 95189?\n\"Answer: 45*v**3 + 1627*v**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14082, -14084, -14086, -14088, -14090, -14092?\nAnswer: -14094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*f - 3359 + 2477 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(-50)*((p\/p**(1\/4))\/p)**(5\/2))**(2\/33))**(-36) assuming p is positive.\nAnswer: p**(1215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3135, -3079, -2981, -2841, -2659, -2435?\n\"Answer: 21*t**2 - 7*t - 3149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 318141134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 2*z**4 - 24*z**3 - 54*z**2 + 135*z + 324.\nAnswer: (z - 4)*(z - 3)*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 41*w + 76. What is the units digit of c(39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u + 4. Let y(a) = 5 - 6 + 4*a - 1 + a. Let c(k) = 6*q(k) + 11*y(k). What is c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -52\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. Suppose -w*v + 13 = -7. Calculate the highest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*m - 297*m**2 - 80*m.\nAnswer: -297*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q)\/(q\/q**(-13)))**(9\/2)\/(q**(-2\/3)*q*q**12)**(-28) assuming q is positive.\nAnswer: q**(856\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207\/138 + 14382\/4?\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35005 (b) 0 (c) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*42*5369\/5733.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.56 - 89.54. Let v = 170 + -60. Let o = v + d. What is o rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3420263, 0.25 in decreasing order.\nAnswer: 3420263, 2, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p. Let g be i(1). Let f(z) = 2*z**3 + 3*z**2 - 3. Let s(y) = y**3 + 2*y**2 - 2. Suppose -2*h = -9*h + 14. Determine g*s(b) + h*f(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 0*k + 2*k + (4 - 2 - 1)*(0 + 0 + 2*k) + 3 - 3 + k + (-5 + 23 + 14 + (1 - 3 + 0)*(3 + 0 + 0))*(-k + 0*k - k)*(-2 + 3 - 3).\nAnswer: 108*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2409 and 976156?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**3 - 2*k**2 + k. Let f be q(1). Let g = f + 15. Suppose 3*z + 0 = 3. Solve 4*u - g*m - 2 = 2, -z = -3*u + m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/10 - 5)*(0 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + 6b?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 11*z)*((8 + z - 8)*(-3 + 0 + 2) + z - 2*z + 0*z).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*p - 3*p + 4*p)*(-250 + 44 - 267 - 213) to u*p + v and give u.\nAnswer: -6860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**26)**(3\/8) assuming d is positive.\nAnswer: d**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2601449 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - n - 1. Let t be h(1). Solve -24 = -4*k + t*j, -5*j = 3*k + 1 - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (508\/6*360\/(-40))\/1. Let a = m + 835. Calculate the remainder when 358 is divided by a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkdwdcwkkcwkk. What is prob of sequence kc?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -522451, -1044795, -1567139, -2089483, -2611827, -3134171?\n\"Answer: -522344*f - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-6)*(-154303)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/4, 110, 2, -2\/5, 2\/3, -0.0326, 0.1?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 3:02 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2859, -5719, -8579, -11439, -14299?\n\"Answer: -2860*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n**2 - 9*n + 11. Let p(s) = -6*s**2 + 4*s - 5. Suppose 0 = t - d - 2*d - 2, -3*t + 22 = -d. Let z be ((-2)\/5)\/(t\/80). Calculate z*k(o) - 9*p(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 86\/(-6). Let g = n - 14. Let x = -1 - -2. Are g and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*j - 2*j - 3*d, 66 = 5*j - 4*d. What is the highest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05992 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**16*p)**(-45)\/((p**(-9)*p)\/(p*p**(9\/4)*p)))**16 assuming p is positive.\nAnswer: p**(-12764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from uquqfqqfqqqqfdqq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 1. Let o(a) = 7*a**3 - a**2 - 6*a + 6. Let z(k) = k**2 + 2*k + 1. Let t(x) = -o(x) - 3*z(x). Calculate t(w) - 5*v(w).\nAnswer: -2*w**3 - 2*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -21 - 3*r + 2\/3*r**3 + 0*r**2. Let x(n) = 16*n**2 + 2*n. Determine v(x(h)).\nAnswer: 64*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -13. Suppose -4*f = -5*p + 2, -5*p - 6 = 2*f - r. Suppose -2 = -p*o - 0. Let s(y) = 6*y**3 - y**2 + 2*y - 1. Calculate s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) - sqrt(77)*-1) - sqrt(77) - (sqrt(77) + sqrt(77)*-1*2 + sqrt(77)))\/(2*sqrt(704)*4).\nAnswer: -5*sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*b**3 + 24*b**2 - 24*b**2 + 2 - 2 - 2*b**3 + (b + 0*b - 3*b)*(2*b + 2*b**2 - 2*b) - 2*b**3 + 0 + 0.\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-35))\/2*(-1170)\/3276?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 28152*b - 35784180.\nAnswer: -4*(b - 5373)*(b - 1665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1271415, 2542849, 3814299, 5085765, 6357247, 7628745, 8900259?\nAnswer: 10171789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhffgoggooo. What is prob of sequence ghhg?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -6*(-4)\/10. Let h = -0.6 + 1. Which is the nearest to d? (a) 0.1 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-78046)\/(-6) + -3 - 2 - (-57)\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/6, -3, 1\/5, -2\/33, 2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -147, -17, 0.1?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 3*u = -137, 15500*i - u = 15504*i + 46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25375 - -25375.0000047554. What is m rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*l + 3 = 0, 0 = 3*v - 5*l + 70 - 21 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523*f**4 - 82*f**2 - 1.\nAnswer: 12552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -15. Let r be (8\/k)\/(4\/(-10)). Let q be 5\/(-8)*(-2)\/r. What is the closest to 0 in -3\/5, q, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 8138 = -24071. Suppose -2*a = x + 348 - j, -3*a - 2764 = -4*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411988?\nAnswer: 2, 31, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -3 + sqrt(4400) + sqrt(4400))*-1 + 2.\nAnswer: -40*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 3758?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 179117 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 3 + 2*m)*(21 - 21 + 2*m**2) as z*m + q + l*m**2 + i*m**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.129732 + 11.13. What is c rounded to 6 dps?\nAnswer: 0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42140732.\nAnswer: 2, 10535183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45506659 divided by -83\nAnswer: 548273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = 4*s - 98, 5*c - 116 = 2*s. Suppose -5*a - 6 = -y - c, -2*y = 2. Solve 0 = -a*f + 4*q - 2 + 14, -q = 5*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -3*m, -2*q - 15*m - 1 + 5 = 0. Suppose 0 = -g - 2*g + 9. Solve -2*i = 2*l + 4, -q = -4*i + g*l + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1177431 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 2. Let u be t(2). Suppose -19*c + 13*c + 18 = u. Find the third derivative of -23*j**6 + 882*j**2 - c*j**6 - 895*j**2 wrt j.\nAnswer: -3120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(180))*5 - (sqrt(180) + sqrt(180) + 0 + -2)) + -1 - (-6*(sqrt(180) - (sqrt(180) + 1)) - (3*sqrt(180) + -1)).\nAnswer: -6 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -335*c**3 + 3*c**2 + 4*c + 2. Let t be n(-1). Let o(k) = k + t - 176 - 159. What is o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1606 + 8?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2517 - 2501. Let w = -0.13 + 0.23. Let m = -0.5 + w. What is the second smallest value in i, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 + 2*l**3 - 5*l + 6 - l**3 - 14. Calculate b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -151.\nAnswer: 5\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d = -60*d + 42. Determine f so that -6\/7*f**d + 6\/7 - 3\/7*f + 3\/7*f**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i. Let l be ((-10)\/4)\/(640\/256). Determine y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 = -6*d. Suppose 2 = d*k - 4. Solve 6 = -p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - l**2 + 1. Suppose 0 = 6*m - 1 + 7. Let c be n(m). Let b be 6\/9 + 53\/(-3)*c. What is the highest common divisor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610 (base 8) in base 10?\nAnswer: -904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 + 1650.8.\nAnswer: 1652.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/3 + 5*u. Let k(l) be the first derivative of 2581 - 2607 + 4*l**2 + 8*l**2. Calculate r(k(p)).\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*p + 15, -p - 3*p + 5 = -5*r. Let o = -2 - r. Suppose 5*l = 4*q - 22 + 34, 3*l + 2*q + 6 = 0. Solve -c + o = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14579 - 4431. What are the prime factors of i?\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l + 93490 + 93480 + 9*l - 186976.\nAnswer: 26*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -132c79 + -1150?\nAnswer: -1340c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10458074729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 120 in 0.3, 141, -4, 1, -5, 541?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*l = 153*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(325))**2 + -3 + 0 + 4.\nAnswer: -30*sqrt(13) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -966 divided by 42\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1\/7, -1\/2, 2\/27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288485905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 2*p**4 - 8*p - 2 + 5*p + 2*p - 2*p**2 to l*p**3 + q*p + n*p**2 + c + i*p**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + -4) - (11 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Let o(s) = -35*s + 2. Let k be o(0). Suppose t = -q*a + 17, k*a + 23 = 7*a + 3*t. Solve 0 = -a*m + 1 + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -50*a - 71. Let t be z(-2). Suppose t*q = 5*q + 8064. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555122083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*t**2 - 241*t - 238*t + 480*t as r*t + h*t**2 + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1781032 and 8288.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -5*j - 2034. Let n be (-4)\/10 + (-190)\/j. What is the third biggest value in n, 0.5, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6419 and 37\/2266824.\nAnswer: 15867768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 - 9 = 0. Suppose -l*o = -3*m - 306, -20 - 301 = -3*o - 2*m. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*v - 6, -b + 6 = -2*b + v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2554 + 2558. Which is the nearest to 2\/3? (a) 2.38 (b) y (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32504 divided by 4063\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c\/(c*c*c**10*c)*c*c)\/c))**(22\/9))**(-48))**19 assuming c is positive.\nAnswer: c**(-73568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 5\/6, 5, -42.17 in decreasing order.\nAnswer: 5, 5\/6, -28, -42.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5077 - 5072. Is v at most as big as 474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 - ((-8)\/3)\/((-6)\/9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 2*z + 68, 5094*o - 5*z + 175 = 5079*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15872 and 6356984.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52258911.\nAnswer: 3, 19, 37, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85562759 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1788, -7502, -17046, -30438, -47696, -68838, -93882, -122846?\nAnswer: -155748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-3))\/((-85)\/5355*42).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1008))\/((sqrt(9) + 2*sqrt(9))*6).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4205 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a = -2296. Let f(x) = -8*x**2 - 8*x - 15. Let r be f(-7). Let z = r + a. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111201 - 213?\nAnswer: -112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111124099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27.08 in -0.5, 11, 0.16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.364 + 23.361043. What is y rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/36 - 1\/3. Let o = 3 - 0. Let l = o - 3. Which is the closest to -1? (a) -0.5 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 16. Let v be o(4). Suppose 13*p - 16*p + 18 = v. What is the common denominator of 38 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.591 - 0.591. Do 141 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 19*r**2 + 17*r + 64. Calculate p(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 7*w**2 - 4*w + 7. Let t be s(6). Suppose -5*l + 2*r - 10 = 0, 2*l + 5*r = -t + 44. Which is the biggest value? (a) 1 (b) -1 (c) 0.5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*h - 387 + 93 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9561\/10 + -1061831\/1110. Let h = o + -6\/37. Let z = 45 - 183\/4. Put -9, z, h in descending order.\nAnswer: h, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236530369?\nAnswer: 3779, 327211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 9*w + 8. Let m be n(8). Let r be ((-63)\/6)\/(-7) + m. Which is the second biggest value? (a) -4 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-1 + 8 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 7*q**2 + 16*q + 21. Let a be w(4). What is the greatest common factor of 240 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 - 11*t - 63. Calculate the smallest common multiple of 27 - 0*3\/(-15) and s(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -0.15, -5, 0, -0.02?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155760?\nAnswer: 2, 3, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/346904 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1276 in -2\/3, 0.1, -2\/5, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y - 70*y + 29*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**10\/136080 + q**9\/68040 + q**8\/90720 - q**5\/10 + 3*q**2. Let n(j) be the third derivative of z(j). What is p in n(p) = 0?\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15138)\/(-29))\/29*(-1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 1\/3*n**2 + 17\/3*n = 0. Calculate n.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/10 - 2*c**4\/3 - c**3\/3 + 4*c**2 - 28*c. Find d, given that t(d) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2600960*u**2 - 1989*u + 221.\nAnswer: -5201920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 4*o**2 - 4*o - 5. Suppose -5*m - 37 = 3*u, 3*m + 535*u - 538*u = -3. Determine i(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:01 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -1 (c) -0.4 (d) 5938\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 572, 1662, 2752?\n\"Answer: 1090*v - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -675 and 21760.098952.\nAnswer: 21085.098952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 614 and 1536842?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + -42. Calculate the common denominator of (y\/8)\/(5 - 7) and -115\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194532109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/(12\/144). Suppose -90 = 7*h - f*h. Calculate the least common multiple of h and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 89. Let h = k + 59. Let r = h + -11. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, l: 9}. Give prob of sequence llr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 312? (a) 15 (b) -0.01 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -273*s + 135*s + 135*s + 108. Solve -15*o - s = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 116 = -2*l + 5*x, -269 = -5*l + 3*x. Let q be 22\/(-8)*2*l\/(-26). What is the second derivative of -17*c - 6*c**3 + 11*c**3 + 23*c**3 - q*c**3 wrt c?\nAnswer: 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 6) to base 9\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8 - 3*6\/72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 3, b: 2, n: 1, g: 5, t: 7}. What is prob of sequence jjg?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*o + 6, 0 = -2*o - 363*i + 362*i - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*(0 + sqrt(2736)) + sqrt(2736)*-2 + 0)*-2)**2*4.\nAnswer: -384*sqrt(19) + 43792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 1:11 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1210 + 1212. Which is the nearest to o? (a) 3 (b) -26 (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-55 - (-29 + -11))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/3*f**3 - 1\/60*f**5 + 0*f - f**2 + 1\/120*f**6 - 1\/8*f**4 + 0. Let t be j(2). Solve 0 = 2*w - t*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 + 3*x - 7. Let o be v(3). Let t(s) = 122*s - 2*s**2 + 3*s**o - 109*s + 16. Calculate t(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 8:46 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47269 is divided by 3374?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.2? (a) -24\/29 (b) -14 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 3. Let a(c) = 48*c + 22. Determine -a(z) - 5*n(z).\nAnswer: -38*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128\/5 - -261\/10. Let m = -10 + 11.4. Let y = 0.6 + m. Which is the closest to t? (a) 5 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9 + 17. Let q = h - 3. Let i be (-12)\/(-10) - (-4)\/(-20). Which is the nearest to i? (a) 5 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237157790917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 18*c**3 - 52*c**2 + 360*c + 800.\nAnswer: -(c - 4)*(c + 2)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 40. What is the highest common divisor of 77 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**9\/52920 + g**8\/11760 + g**4\/12 + 12*g. Let p(y) be the third derivative of f(y). Factor p(t).\nAnswer: 2*t**3*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13224203 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.68396091 less than -0.05442?\nAnswer: 64.62954091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/3)\/r)\/(r**(-4)*r))\/((r**(2\/13)\/r)\/r**(-1\/7)))\/(((r\/r**(1\/5))\/r*r*r)\/r**0)**(-41) assuming r is positive.\nAnswer: r**(103517\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101001 + 100?\nAnswer: 10001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -p, 3*u + 2*p = -0 - 8. Suppose 4 = a - 2*a. Let h be 6\/a*8\/22. Is u >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -110.9 (c) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 1\/3*m**3 + 1 + 0*m + 5\/2*m**2. Is a(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4871 + 5.6912. Round c to 2 dps.\nAnswer: 6.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1024702 and 69\/146386?\nAnswer: 1024702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -41, -1, -8, 4 in increasing order.\nAnswer: -41, -8, -1, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13451.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 672, 1513, 2690?\nAnswer: 4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85274 or 85275?\nAnswer: 85275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16469 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 8, -2, -9 in increasing order.\nAnswer: -9, -6, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -126. Let m be w + 38\/(-4) + 5\/10. Is 2\/2 - (3 + (-490 - m)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403245.\nAnswer: 5, 13, 36973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 7 = -7*s, 20*g + s - 1 = 24*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, d: 3, o: 3, k: 3, s: 5}. Give prob of sequence sddd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71 or -927\/13?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 - 3*m + 5*m + 7*m**2 + 2*m + 1 to the form z*m**2 + c*m + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*m = -105*m - 10920. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2\/3 + 4221*z - 5066\/3 = 0. What is z?\nAnswer: -2533, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1043654?\nAnswer: -1043660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 101 - 54 + 101 + 267 - q as t + x*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 83*b + 19. Let f(a) = 5*a**2 - 207*a + 49. Calculate -5*f(j) + 12*t(j).\nAnswer: -j**2 + 39*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523497525?\nAnswer: 3, 5, 6979967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66766, -133542, -200318, -267094, -333870, -400646?\n\"Answer: -66776*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738864 and 59472.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 6*i - 7. Let h be 6\/(-9) - 19\/3. Let u be s(h). Let g = -2.6 + 2.7. What is the second smallest value in -1\/3, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 28*h = -1296. Calculate the greatest common divisor of h and 5751.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from juujfjtjjfuf?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1581 + -1580. Let l(p) = -4*p**2 - 3*p + 3. Let t(d) be the third derivative of d**5\/60 + d**4\/24 - d**3\/6 - 53*d**2 - d. Give o*l(h) + 3*t(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/(-1)*144\/(-90)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 7 + 27)*(-x - 1 + 1 + (2 - 2 + 2*x)*(-2 + 4 + 1))*((-1 + 4 - 1)*(-1 + 1 + 2) + 6 + 0 + 11 + 1 + 6 + 2) as q*x + s and give q.\nAnswer: 2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (153\/102)\/((-33)\/990)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(133)\/(2*sqrt(7)) - ((-1*sqrt(76) - sqrt(76))\/sqrt(4) - 3*1*sqrt(19))))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 215929032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-1 + -6) + (45834 - 0). Suppose 49*h = 41*h + c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161898508 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -1, -0.0557 in descending order.\nAnswer: -0.0557, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 7*b**2 - b**2 + (2*b + 0 + 0)*(-2*b - 1 + 1) - b**2 + 0*b**2 + 3*b**2 + 2*b**2 - 3*b**2 + b + b to the form y*b**2 + k*b + m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(91)*3*-4)\/sqrt(7) + 1*sqrt(26)\/(2*sqrt(2))).\nAnswer: -46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/25210118?\nAnswer: 5\/25210118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 490300 and 4464.\nAnswer: 494764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.2, -0.1, 1235?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**7\/280 - q**5\/120 + q**3\/3 + q. Let g(d) be the second derivative of x(d). Find the second derivative of g(o) wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 10. Let t = -2 - -7. Suppose t*x - 15 = 5*d, -x - 2*d - d = -19. Determine z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 - 3 = 0, -3*m + a = -185. What is the smallest common multiple of (0 + 8)*(-3038)\/(-496) and m?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:15 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 3. Let x(r) = -r + 6873734 + r**2 - 6873734. Give h(f) - 4*x(f).\nAnswer: -2*f**2 + 4*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/8 + 363*k + 25551\/2 = 0.\nAnswer: -34, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/3, -0.3, 47.\nAnswer: -2\/3, -0.3, 0.3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 21*s + 14. Let y be v(18). Let b = 96 + y. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from rroaarorruprrurorur?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-110)\/(-3) + (-2)\/3. Suppose -3*z + 3*p = -15, -7*p = -z - 5*p + 7. Suppose -f = -z*a - 9. What is the highest common divisor of 72 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**3 + c**3 + 3*c**3)*(0*c + c + 0*c) - 515*c**4 - 1 - 664*c**4 + 1367*c**4 + 1 to d*c**3 + h*c**4 + f + l*c**2 + k*c and give h.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5202.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 2*p - 8*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 13 = -2*z, 4*h + z + 7 - 6 = 0. Suppose 4*c - 4 = 0, -4*k - 2*c + 37 = -h. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-20)\/p))**46)**(3\/2))**(-16) assuming p is positive.\nAnswer: p**(-23184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437058 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 12*i - 9. Let g be z(7). Suppose w + w + 51 = k, 227 = g*k - 3*w. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*d - 19, -a - 3*d + 6 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/28 and 103\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 != -320\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -11*z**5\/60 - z**4\/3 - 5*z**2. Find the second derivative of q(p) wrt p.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 - 24) + 25*1. Suppose 11*k + w*k = 3488. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 237 = 224. Sort -2, r, -5, 82 in decreasing order.\nAnswer: 82, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94 and 5944.\nAnswer: 279368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, 85, 358, 901, 1804, 3157, 5050, 7573?\n\"Answer: 15*n**3 - 12*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391 is divided by 736.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124725 and 10.\nAnswer: 249450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1377)*-1*4 + sqrt(1377) - sqrt(1377))**2*1*3 + -3).\nAnswer: -198279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjcj. What is prob of picking 1 j and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/223 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(((m*m*m*m**(-3\/2))\/m)\/m)))\/m**6)\/((m\/m**(-6)*m)\/(m*m\/m**(1\/3))) assuming m is positive.\nAnswer: m**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 122*d**2 - 124*d - 273. Determine l(-60).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -1564*c**2 + 1560*c + 4 = 0.\nAnswer: -1\/391, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710389?\nAnswer: 710389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -86 + 69 + -2 + -14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8316019?\nAnswer: 83, 100193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81087.\nAnswer: 3, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:15 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + -142 + 79 + 29.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, -5, 287470.\nAnswer: -27, -5, -4, 287470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9114 and 744.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 272533549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 619 = -3*i - 479 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 7. Let y = -157 - -159. Solve 0 = -5*s - 2*v + 6*v + x, -v + 3 = y*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 13*k**7\/210 - k**6\/40 + 25*k**4\/12 + 56*k**2. What is the second derivative of l(s) wrt s?\nAnswer: 156*s**2 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.596318 months?\nAnswer: 0.0006330265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 80805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2974*l - 1397738. Give t(470).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*3 + 4 - (sqrt(11) + (sqrt(88)\/sqrt(8) + 5 - sqrt(11)))) + (-3*sqrt(176)*1*-5)**2.\nAnswer: 2*sqrt(11) + 39599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76116397 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g. Let l be u(0). Suppose 5*r - 77 = s, l = -2*r - 5*s + 2*s + 24. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 + 694*t**2 + 256*t + 5799. Calculate d(-231).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246917.\nAnswer: 11, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -99106*k + 3369580. Give y(34).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let q = -0.14 + -0.16. Which is the closest to -1? (a) q (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -14a0?\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 102694 = -2*y - 1948, -4*y + 201457 = -3*k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4215, -8424, -12633, -16842, -21051?\nAnswer: -25260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-5) - (-156)\/(-30))\/(-1). Suppose 282 = w + v*j, w - 4*j - 272 = j. Let r = w + -132. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 4:13 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293b1 (base 14) to base 16.\nAnswer: 18f7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 6. Let s be 5\/20 + 47\/4. Let y be l(s). Let q(v) = -21*v + 2. Let k(z) = -11*z + 1. Let f(x) = y*q(x) - 11*k(x). What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0 - 5*n + 3 + 10*n + 10*n. Let m(d) be the first derivative of d**3\/6 - 56*d + 37. Let q(a) be the first derivative of m(a). Calculate z(q(k)).\nAnswer: 15*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/5)\/k*k*k*k\/k**(-1))**(1\/3) assuming k is positive.\nAnswer: k**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5 + 3. Let g = 306 + -312. What is the closest to -0.1 in g, p, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3850000 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 542883 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*r + 198*r + 185*r + 316*r - 61.\nAnswer: -2*r - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*j**5*k**3*o - 4*j**3*o + j**2*k - 44*k**3*o - k**2*o wrt j?\nAnswer: 3660*j**2*k**3*o - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/624 and 127\/312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*z - 108000000 = 0, s + 0*z - 3*z = 27000000. Suppose -p - 2*p = -s. Suppose m = -m + p. Round m to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Suppose -u = x*u. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34660 is divided by 11483.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 46458044603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 7*c + 9.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -292+0.3\nAnswer: -291.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 1495285371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8246 and 152?\nAnswer: 32984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + -1 - -20 - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108444000 rounded to the nearest one million?\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/23 + 9\/184. Let q = -26696\/7 + 3814. Let s = -6 + 4. What is the nearest to q in d, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6441.51 or 2\/5?\nAnswer: -6441.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 + 3 + 9\/(-3) is divided by (-355)\/(-426) + (-151)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 9, k: 4, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - c**3 + c**3 + (2*c**3 + 0*c + 0*c)*(0*c - c + 0*c) + c**2 - c**4 - c**2 + 2*c**2 + 4189 + 4188 - 8385 + c**4 + 8*c.\nAnswer: -c**4 + 2*c**2 + 8*c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 590424\/17 or -112?\nAnswer: 590424\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 h when four letters picked without replacement from {a: 3, g: 4, h: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*w + 5*f, -3*f + 5 = -5*w + 32. Let g be 11 - (w*-1)\/(-9 - -8). Let v(c) = -2*c - 4. Let i be v(-4). Put 5, -2, i, g in increasing order.\nAnswer: -2, i, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*l**3 + 369*l**3 - 223*l**2 + 34*l**2 + 156*l**2 + 31*l**2.\nAnswer: 319*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/5 + 4*u**2 + 182*u\/5 + 32 = 0.\nAnswer: -5, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00126904 rounded to 5 decimal places?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q - 32 - 73 - 51 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 507.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 114915 divided by -38305\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -65. Let i = -25 - g. Find the third derivative of -17*x + 2*x**i + 17*x + 2*x**2 wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/15 - 106\/255. Let r be (-1)\/(-2) - (-25)\/10. Let q be (r\/(-5))\/((-3)\/2). Which is the second biggest value? (a) -3\/5 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -7)\/(1 + 0). Let g be (1\/6)\/(3\/(36\/w)). Let q = -0.8 - -5.8. Which is the smallest value? (a) -3 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yynqy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 1 - 3 - 4*n in the form k + v*n and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*g - 408 = 0, -4*v - 9*g + 320 = -5*g. What is the smallest common multiple of v and 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*z + 431*z = -198. Let l = z - -69. Suppose -3*b - 9 = -4*b. What is the greatest common factor of b and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/18 + 159\/27. Suppose -7*y + 4*y = -w. Suppose 4 = y*d - 18. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/203 + 396\/1015. Which is the nearest to z? (a) -3 (b) 4\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1860, -3723, -5588, -7455, -9324, -11195?\nAnswer: -13068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -69.12.\nAnswer: -276.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/6)\/(6\/(-12))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6 and -101\/689648.\nAnswer: 2068944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -525 - -525.6. What is the third smallest value in 0.2, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 0. Put 5, w, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(130\/30) - (-1 + -1270). Let o = -883 + t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 9*j - 4*h + 24, -15 = -3*j - 2*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 66*p = -124*p + 28*p - 10584 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/15*(-3 + -2). Let u(d) = -5. Let i(f) = -f + 14. Let p = 285 - 293. Determine n*i(z) + p*u(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*a*l**2*o + 5*a*l*o**2 - 13*a*l*o + 151*l**2*o**2 + 3*l**2*o + 1 wrt a?\nAnswer: -8*l**2*o + 5*l*o**2 - 13*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 - (-14 + 29 + -4 - (6 - (-5 + 11))).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*y**5 + 32*y**2 + 59*y**2 - 230*y**5 + 29*y**2 wrt y.\nAnswer: -18360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t. Let q(r) = -3*r**2 + 4*r**2 + 3*r**2 - 3*r**2. What is 2*q(g) - z(g)?\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ae (base 16) to base 12.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Suppose -3*r + g*r = 22. What is the highest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16797 - -16786.999. Let j = s + 10. Round j to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622895?\nAnswer: 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 6*u + 78. What are the prime factors of i(10)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15430823 to the nearest integer?\nAnswer: 3928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1520800 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7985 - -7984.9. Which is the closest to -0.1? (a) o (b) -0.19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201 + -116. Let w be (-5 - s)*4\/8. Round w to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 73 + (3 - -21)\/(-2). Solve -38 = -29*m + b*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 + -3 - 9 - 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjj when four letters picked without replacement from sttlfyyjlyjflfj?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 5*p**3 - 3*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 101431340412?\nAnswer: -101431340324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riippoporrpopppp. Give prob of sequence rr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b**2 - 4*b + 0*b**2 + 0*b**2 + 3*b**2 + (3 - 2 + 1)*(-2*b + 2*b - b**2) + b - b - 2*b**2 - 352 + 39*b**2 + 352)*(-2 - 3 + 9).\nAnswer: 148*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**(-8\/5)*t*t))\/(t\/(t\/(t*((t*t\/t**2*t)\/t)\/t))*t))\/(t\/((t*t**(-2\/7)\/t)\/t*t*t))**28 assuming t is positive.\nAnswer: t**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**30\/(((o\/o**(4\/13))\/o)\/o*o*o**(-6\/11)) assuming o is positive.\nAnswer: o**(4412\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 7557*a + 4285002.\nAnswer: 3*(a - 1657)*(a - 862)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + g - 4, 34*y - 36 = 39*y + 4*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 + 4*c**4 - 1336*c**3 + 721*c**2 + 3 wrt c.\nAnswer: -120*c**2 + 96*c - 8016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 10. Let i(m) = -m - 3. Let o be (-129)\/(-54)*-3 + 0 + (-4)\/(-24). Give o*i(s) - 2*x(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2004235 + -0.15428.\nAnswer: -2004235.15428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 - 13*a**5\/60 + 7*a**4\/12 + 8*a**3\/3 - 2*a**2. What is the remainder when 62 is divided by p(-14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38011 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)\/p*p*p)**(-31)\/((p*p**(2\/15)*p)\/(p\/p**(1\/3))))\/((p**(2\/3))**(2\/83)\/(p\/(p*p**(5\/2)*p)*p*p\/(p*p**3))) assuming p is positive.\nAnswer: p**(-125453\/2490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k. Let d(n) = 9*n + 1. Let q be d(-1). Let g = q + 10. Let b(j) = 9*j**2 - 2*j**g - j**2 - j**2. Give u(b(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-90) - (8\/6 - 1)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.1539 rounded to zero dps?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48102 - ((-1728)\/9)\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5) + (-4185)\/(-27)*2\/(-25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from llplpplpllpppplllpil?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13368882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 375496 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -79. Let i = s - -41. Let u(t) = t**2 - t - 2. Calculate u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*j - 19. What is the second derivative of -20*h**4 - j*h**4 - 13*h**4 - 13*h wrt h?\nAnswer: -564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*w - 68, -4*r - 9126 + 9194 = -3*w for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 1 + d**2 + 14*d**3 - 9*d**3 - 1 - 13*d**4 - 2*d**3 in the form p*d**4 + a*d**2 + r*d**3 + n + f*d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-7 + 13 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*5*(-66)\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3940 + 3946. Calculate the remainder when h is divided by 44\/10 - 2\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 148. Let u be k(74). Solve u = q - 29 + 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, -8, -5.\nAnswer: -8, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y - 6. Let g(m) = -m - 1. Determine -5*g(p) + q(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 57*k**2 - 110*k + 860. What is the thousands digit of p(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -31*g - 1735. What is y(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**0\/p)*p**(-7)*(p\/p**(1\/5))\/(p**(1\/14)*p)*p**8\/p**(-1\/3)*p**(-2\/9)*p*p**2 assuming p is positive.\nAnswer: p**(3679\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522868, 522871, 522874, 522877, 522880?\nAnswer: 522883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12617 and 94054.\nAnswer: 1034594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-3)\/(-15))\/(258\/(-860))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-157 - -167) + (-3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -776, -609, 506, 2569?\n\"Answer: 474*f**2 - 1255*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v - 125. What is j(7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -104173*s - 4271038. Determine b(-41).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49097686 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4044, 1276, -3346, -9828, -18176?\n\"Answer: -f**3 - 921*f**2 + 2*f + 4964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/98*40\/(-32)*(-21)\/(-24).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1003.8 and 0.4?\nAnswer: 401.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 4 (b) -4\/3 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4.7, -0.0329, -4\/3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -274.9 + 275. Which is bigger: 6\/29 or k?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1 - 2. Let o(q) = 14*q**2 - 3*q + 2. Let i(k) = 14*k**2 - 4*k + 3. Let u(g) = 2*i(g) - 3*o(g). Give u(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2 + 4. Suppose c - 4*d = -13, d - 10 = 2*c - 3*d. Let t(k) = k + 2*k**2 - 4*k**2 - 3 + 0*k**2 + c*k**2. What is t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a + -18c64?\nAnswer: -18b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = 2*k - 44 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**2 - 1\/2*k**5 + 7*k + 0*k**3 + 0 + 0*k**4. Differentiate b(x) wrt x.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2421, -2428, -2443, -2466, -2497, -2536?\nAnswer: -2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8641, -1\/6, -2\/43, 2\/13?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + -3 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 - 0.144842.\nAnswer: -76.144842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5865*t**5 - t**3 + 6*t**2 - 3181*t + 1?\nAnswer: 351900*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - k, v = 6*v - 5*k - 40. Solve 2*c + v = 4*t, -22 = -4*t + 2*t - 4*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5983*h**3 + 10625*h**2 wrt h.\nAnswer: -35898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -23 + 2*z + 3*z + 94. Let g be (-2 - 42\/9)\/(205\/(-492)). What is the hundreds digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 27104*z + 3025. Let i(q) = 9*q + 1. Let b(v) = -18150*i(v) + 6*o(v). Let g(d) = -d**2. What is b(g(l))?\nAnswer: 726*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.57003 - 0.02997. Sort 6, -3, -2, d, 4 in descending order.\nAnswer: 6, 4, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46750 (base 8) to base 16\nAnswer: 4de8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8.8, -0.07, -2\/29, 4, 6, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x. Let j(u) = -13*u**2 - u + 56. Determine z(j(f)).\nAnswer: -221*f**2 - 17*f + 952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2907)\/456 + (-6)\/(-16). Let w be -8*o\/(29 + -5). Factor -8\/19*c + 2\/19*c**w - 8\/19 + 2\/19*c**3.\nAnswer: 2*(c - 2)*(c + 1)*(c + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(156\/2808*((-69)\/(-40))\/(-23))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 2*s**5\/15 - 2*s**2. Suppose 4*w - 2*v - 1490 = 3360, 5*w - 5*v = 6070. Let x(n) = -1211 - 2*n**2 + w. Calculate y(x(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:08 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k - 119*k + 357 = -348*k + 117*k for k.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 161. Determine i(-4).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8675?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 7. Let h be j(8). Calculate the common denominator of 11\/((-1)\/(h\/48)) and (10\/(-16))\/(1\/30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 67*z**9\/504 + 187*z**5\/15 + 548*z**2. Find the third derivative of k(p) wrt p.\nAnswer: 8040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -323, 3, -3, -2, -510.\nAnswer: -510, -323, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let a(q) = 8*q + 7. Let k(v) = a(v) + 5*d(v). Let o(n) be the third derivative of n**4\/4 + 2*n**3\/3 - 5*n**2. Calculate -11*k(b) + 6*o(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31023 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5.59, 2\/7, 8.4, 0.3, 0.5, -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 712, -4 in descending order.\nAnswer: 712, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 3*l, 2*l = 1784*h - 1781*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -20. What is the third smallest value in c, 0.04, -4\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**5 + 580*k**4 + 17915*k**3 + 62140*k**2 - 17920*k - 62720 = 0.\nAnswer: -56, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 - 0.09. Let u = v + -2.09. Sort u, -3\/7, -0.5.\nAnswer: u, -0.5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*x + 110*x + 81*x - 231*x.\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 26*b - 57. Let f be l(23). Let o be 4\/f*-2*(-4 + 1). Solve -o*a + 2*n - 2 = -0*a, 0 = -5*a - 3*n - 37 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.06 - 56.9. Let q = -0.16 + y. Let l = q + 13.8. What is the nearest to -0.2 in -2, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(1*sqrt(27)\/sqrt(3)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 7. Calculate w(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 92323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885987 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-15) + (-76)\/(-12). Suppose -4*z + 3*s - 4*s + h = 0, 4*s + 14 = 3*z. Solve -4*a + 13 - 2 = -u, -u - 3 = -z*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 529*h**2 - 529*h**2 - 14*h + 1 to g + p*h**3 + u*h**2 + z*h and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2002 and -9\/997282.\nAnswer: 6980974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47355 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 83349352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437597 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 22*a - 48. Suppose 0 = -d - a + 11. Suppose 0 = -d*y + 8*y - 525. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/6 - 3092*u**3 - 19120928*u**2 - 118243818752*u\/3 = 0. What is u?\nAnswer: -6184, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:41 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - c**4 - 1 - 5*c**4 + 2*c**4 + c**4 + (c - c**2 - c)*(-4*c**2 + 3*c**2 + 2*c**2) - c**4 + 0*c**4 + 0*c**4 + (0 + 0 + c**3)*(-7*c + c + 4*c).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -402551?\nAnswer: 403005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56245 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 8*q + 4. Let k be i(5). Suppose -10*l + k = -36. Let t be (-4 - -5) + 4 + -1. Sort t, l, -3, 3 in descending order.\nAnswer: l, t, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319 + 318. What is the tens digit of (-509)\/r + (-186)\/(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3 and 20\/121381839?\nAnswer: 121381839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7660 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.963 millennia in centuries?\nAnswer: 7629.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -295918 divided by -240?\nAnswer: 147959\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/54*27\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26175 and 2455?\nAnswer: 12851925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -15.81. Let v = -3.271 - -3.0827. Let c = v - o. What is c rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133818 and 204.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-13 + 9) - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561 by -3.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12925836545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90342 divided by 189.\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-30) - 11\/66. Let f = -0.2 - -0.24. Let i = 0.34 - f. What is the smallest value in -4, r, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 plus -0.005?\nAnswer: -22.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**5\/20 + p**4\/3 - 2*p**3\/3 - 2*p + 5. Let i = 1 + -1. Suppose i = -y - 0*y - 5. Give g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -2*k**3\/3 + 5*k**2 + 1357*k. Let z(d) = 19*d**2. What is y(z(x))?\nAnswer: -76*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -865240 * -17.\nAnswer: 14709080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/15 - (-4)\/10. Let x be (-1)\/(-3) + f\/(-6). Let k be (-3 - -2) + (-11)\/(-10). What is the closest to x in 4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77999446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 1375 = 1263. Is t smaller than 1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m + 5. Let h be b(-5). Suppose h = 3*a - 85. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/33 and ((357\/108)\/1)\/(-1).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -241324324?\nAnswer: -241324331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 38*t - 4256. Is 67 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {h: 3, y: 4, i: 4, t: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.4 (c) 9415 (d) -4\/3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1430370 and 858222?\nAnswer: 4291110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/(-32))\/(18\/(-12)) - 6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2 + 566*d\/3 + 720.\nAnswer: 2*(d + 27)*(9*d + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-3198)\/(-8528))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 36*v**3 - 285*v**2 - 322*v.\nAnswer: -v*(v - 23)*(v - 14)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(98)*-2 + -3*sqrt(98)).\nAnswer: 175*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1969 + 451 = -22*r. What is the remainder when r is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5355*i - 37457. Calculate a(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*l = -449*l + 40. Calculate the greatest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40641542 + 3?\nAnswer: 40641545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1153, -1133, -1099, -1051?\n\"Answer: 7*b**2 - b - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (1 + -2))*18\/(-6). Let p be (1 - x\/6)*0 - 49. Is -49 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**13\/y)**(-48)\/((y\/((y\/(y*y*y\/(y\/(y*y*y*y**18*y))*y*y))\/y))\/y*y\/((y\/(y**(1\/4)*y)*y)\/y)))**(-9\/5) assuming y is positive.\nAnswer: y**(21717\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9247085.8+-1\nAnswer: -9247086.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 276*y**4 + 4*y**3 - 6*y**2 - 6*y - 762. Let o(v) = 276*v**4 + 3*v**3 - 5*v**2 - 5*v - 762. Let d(l) = -5*g(l) + 6*o(l). Differentiate d(i) wrt i.\nAnswer: 1104*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1203 = -2*b + 2*b + 642*d, -4 = -6*d + 4*d for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-50)*(-40)\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23016 - 68205612?\nAnswer: -68228628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cma when three letters picked without replacement from chxceacmceceecee?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 625, 1396, 2475, 3862?\nAnswer: 5557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 3. Let n be s(6). Suppose -n*d + 52 = 2*k, 5*k = 2*d + 2*d - 77. Let t(z) = 2*z**2 + 4. What is the smallest common multiple of t(3) and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and 17\/244?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7262 divided by -2.\nAnswer: 3631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -868 + 6.3\nAnswer: -861.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-552)\/21 - 8\/(-28). Let u = n + 44. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 1\/12, -1\/6, -3\/49, 4, 2\/7?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 78*j - 8. Let u be g(1). Suppose b - u = -5*z, b - 3*z - z - 106 = 0. What is the highest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87\/4 of a year?\nAnswer: 261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 134. Let s(l) = -l + 5. Let u be s(3). Solve h = -d, -u*d + 4*h = d + b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 652?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1836953?\nAnswer: 2\/1836953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1898*j + 4*m = -1901*j + 22, -4*m = -4*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 765302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314*g**6 + 543*g**2?\nAnswer: 37680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31734217*i**3 + 26479738 wrt i.\nAnswer: 95202651*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -60*m**3 - 16*m - 6698. Let o(l) = -30*l**3 - 8*l - 3353. Let x(h) = 5*d(h) - 9*o(h). Find the first derivative of x(i) wrt i.\nAnswer: -90*i**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.58, 2341\/1010, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-20)\/(-10))*(-168)\/(-36)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 1. Let z be j(-3). Let v be 4*(-2)\/(1 - 9). What is the highest common divisor of z and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 273 - 2193. Let m = -116 + k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 415?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/65*(-1)\/(3\/10)*(-1884)\/5652?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*z + 20 = 0, 3*q - 8*q - 34 = 2*z. Let h be (-4)\/(-18) - q\/(-36). Suppose -7*p = -h*p + 149100. What is p rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v + 0 - v**2 - 1\/24*v**4 - 1\/3*v**3. Let c(h) = -13 - 27 - 7 + 49. What is -4*c(z) - 3*x(z)?\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnq when three letters picked without replacement from qpknknppnpootnoopp.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-326727)\/(-36)*(-2)\/(-3)*4. Suppose k + 28133 = 9*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igggd. Give prob of picking 2 g, 1 d, and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -113, -128, -135, -134, -125?\n\"Answer: 4*t**2 - 27*t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5540598 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1118883?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifs when three letters picked without replacement from sffsssiiiffsfis.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-15)\/(-8)) + -4 + 5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*m + 45*m = -45*m - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 14479510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20322, -46835, -73348, -99861, -126374, -152887?\nAnswer: -179400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 5. Let k be u(4). Let c be (-2)\/k - (-1450)\/45. What is the highest common divisor of c and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -325005?\nAnswer: -324655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/5)\/a*a)\/(a*a*a**16*a) assuming a is positive.\nAnswer: a**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80286, 160383, 240492, 320619, 400770?\n\"Answer: x**3 + 80090*x + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -68, 0.5 in ascending order.\nAnswer: -68, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t. Let d = 1 - -1. Suppose 3*s + d*s = 0. Let z be n(s). What is z rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -4*sqrt(637)*2 + sqrt(637))*-3)**2 - ((-1*sqrt(637) - sqrt(637))**2 + 1 - ((sqrt(637) - (sqrt(637) + 0 + sqrt(637))) + 3)).\nAnswer: -7*sqrt(13) + 203842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 981 + 0?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350993*k**3 + k**2*y**3 - 4*k*y**3 + 74*k*y + y**2 - 227*y wrt k.\nAnswer: 2105958*k + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5483775 times -1.4\nAnswer: -7677285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(854\/(-183)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 46*f**3 + 14*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - (-7)\/2. Let s(r) = -r + 5*r - r**3 + 6*r + r**2 - 7*r. Determine s(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = 0, 3*d = -4*p - 0*d + 16. Suppose -p = -4*o + 1. Differentiate 135*c**2 - 10*c**4 - 135*c**o - 8 with respect to c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 2*m**2 + 3*m**2 - 9*m**2 + 3*m**2 + 2. Let t be -1 + (1 - 2 - -2). Give d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3790171 is divided by 383.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**2 + 1. Let d(r) = -174*r. Give w(d(i)).\nAnswer: 242208*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*v - 121 = -37, v = 0. Suppose -i + 2*w + 126 = 0, -293 = -4*i + 2*w + 241. What is the remainder when i is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182763670 divided by 5\nAnswer: 36552734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/158 and -13\/10720?\nAnswer: 846880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(((y\/(y*y**12\/y))\/y)\/y)*y**11*y*y**(-1\/14)*y**(1\/11) assuming y is positive.\nAnswer: y**(4007\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2*y + 16. Let r(z) = 11*z**2 - 2*z - 1. Let w be r(-1). Suppose 0 = -y*m + 4*g + 32, -w = -2*m - g + 4*g. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffvvf. What is prob of picking 3 f and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.421 + 1.420998913. What is f rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793035.\nAnswer: 5, 358607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 5, 23, -2, 4 in decreasing order.\nAnswer: 23, 5, 4, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0049595 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22771, 22662, 22553?\nAnswer: 22444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -4. Let l(w) = 5*w + 10*w**c - 6 + 0 - 2*w**2. Let k(m) = m**2 + m - 1. Suppose 15*z = 2*z + 13. Calculate z*l(n) - 6*k(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 2*n - 5. Let o be t(-2). Let y be 0 + o\/((-3224)\/16). What is the third biggest value in y, -1\/2, -2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039032 divided by -1509758?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418095 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + 5*q**2 + 23*q - 9*q**2)*(-1 + 1 + q).\nAnswer: q**3 + 23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 25*m**2 - 192*m + 589. Calculate u(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (0 - 15) - -3. Let l = 20 + f. Solve -a - l = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1102\/14113 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21894 and 510148.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277740 divided by 1.\nAnswer: 277740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36348 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-23)*o\/o**(-2\/5))\/((o*o*o**(-16)\/o)\/o**(6\/13)))**(-46) assuming o is positive.\nAnswer: o**(18354\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 206. Let k be v(6). Let g = 195 + k. Solve 0 = 3*z + 2*o - 7*o + 13, 0 = z + o - g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 44*m**2 + 92*m - 89. What is c(42)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1905180 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 1463?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/29896 and -109\/24.\nAnswer: 89688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222 - -223. Solve 5*w = 4 + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgg when three letters picked without replacement from mmmmgfgfmggjfmg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 1. Let r be k(1). Let l be (4 - 0)*6\/8. Suppose l*b - 19 = -5*u, 0 = 5*b + 2*u - 21 + 2. Solve r*c - 12 = v, -4*v + b*c = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggghssf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p. Let c be (-108 + 106)*(-10)\/4. Let w(a) be the third derivative of 0*a**3 - 1\/60*a**c + 0*a + 0*a**4 - 16*a**2 + 0. What is x(w(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a - 65*a + 38*a - 5*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**24*l*l**(-6)\/l assuming l is positive.\nAnswer: l**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 24\/7*d**2 + 0 - 3\/35*d**5 - 1\/70*d**6 - 38*d + 0*d**4 + 8\/7*d**3. Determine p so that r(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*66\/24)\/((-1)\/14). Suppose 0 = 5*x - 233 - g. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -47. Find the common denominator of 192\/(-21) + i - (-179)\/77 and 48\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -79*f + 236. Let t be m(3). Which is the nearest to -1\/5? (a) 2\/3 (b) t (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - v**4 + v**4 + (2*v**2 - 6*v**2 + 2*v**2)*(-2*v**2 - 3*v**2 + 4*v**2) + 2*v**4 + 1 - 1.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 26*l + 92. Let r be p(-4). Which is the nearest to -35? (a) -0.1 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -350, -332, -300, -248, -170?\n\"Answer: n**3 + n**2 + 8*n - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323102 (base 4) to base 2.\nAnswer: -111011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244957082*t + 149258052 wrt t.\nAnswer: -244957082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -0.4, -79\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.384044 to 1 decimal place.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 3*x - 16, 5*r = 4*r - 5*x + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + (2 + -5 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*f*i*m - f*i - 3*f + 2*i*m - 2*i + 203*m with respect to f.\nAnswer: -42*i*m - i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.01993279 times -2\nAnswer: -0.03986558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4642.7 + -59245.\nAnswer: -54602.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49156955.\nAnswer: 5, 43, 228637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(6\/5)\/v)*v\/((v*v**(-3\/4))\/v)*v*v)**(-17) assuming v is positive.\nAnswer: v**(-1207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -382, -352, -302, -226, -118?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6155.999981717 - -6156. Round a to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -39.11?\nAnswer: -117.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, -27, -173, -317, -459, -599, -737?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 2.491 (c) -842 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -14 - 4) + (-1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 435204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 696 - 696 - 18*z**2 - 2*z + 2*z**2 - 7*z**2 + 2*z**2 + 2*z**2 - 1 + 1 + (2 - 1 - 2)*(2*z**2 + 2*z**2 - 3*z**2) - 2*z**2 - z + z.\nAnswer: -22*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2550215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 43191 = 3*q. Let k = q - -76753\/16. Calculate the common denominator of k and 67\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3017 + -3016.798. Is -3 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5 - 81074*y**4\/5 + 535402*y**3\/5 - 989878*y**2\/5 + 243456*y\/5 + 292104\/5 = 0.\nAnswer: -8114, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 215181*m. Let n(a) = 9*a**2. Calculate t(n(v)).\nAnswer: 1936629*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*j**4 + 12*j**4 - 126 + 45 wrt j.\nAnswer: 336*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 5*c + 4. Let l = 11 - 8. Suppose 0 = l*i + h - 2 + 12, 5*h = 4*i + 7. What are the prime factors of t(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -1448 + 1445 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -3617786?\nAnswer: 10853358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v + 1. Let u = -29 - -44. Let t = u + -5. Suppose 6 = -4*m - t. Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let l(u) = -14*u**2 - 14. Let b(y) = -2*i(y) + l(y). What is the derivative of b(f) wrt f?\nAnswer: -32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 5. Suppose -2*q + 1 - 2 = 3*y, w*y = -5*q. Let d = -3 + 1. Sort d, -4, q in ascending order.\nAnswer: -4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(405)*2)**2 + (2*sqrt(405))**2 + 4)*-6*3.\nAnswer: 1750032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 315 + 3*a + 2983*a**2 - 2987*a**2 + 530 to the form c + q*a + y*a**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2402, -3637, -5670, -8501, -12130?\n\"Answer: -399*h**2 - 38*h - 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -62.1. Put -0.0045, r, 0.4 in descending order.\nAnswer: 0.4, r, -0.0045","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1147797, -1147808, -1147827, -1147854, -1147889?\nAnswer: -1147932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 4*l - 0*l + 24, -3*c + 2 = -5*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18447132 divided by 2291.\nAnswer: -8052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) -13 (c) 0.3 (d) -3\/17 (e) -36\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -390496128*p*y + 8*p - 1550379 wrt y.\nAnswer: -390496128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81, 1, 8, 0.4, -4, -0.1 in ascending order.\nAnswer: -4, -0.1, -2\/81, 0.4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/(624\/1040)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/42 + 617\/(-1878). Let x = 56973385 - 71330688355\/1252. Let k = x + b. What is the common denominator of -30\/13 and k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggzzgzzzgg. What is prob of sequence zz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (1 - 1) - (242 + -244)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-127.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.199, -1\/13, 43, 0.5?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1412 + 7009\/5. Let q = 209\/20 + v. Let y = 0.011 - -0.389. Put q, y, 0 in decreasing order.\nAnswer: y, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2722 divided by -3207\nAnswer: 2722\/3207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 518*-0.2\nAnswer: -103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*y**2 + 12*y**2 - 15*y**2)*(4*y + 16 - 16).\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -126*h**2. Let s(f) = -f. What is s(n(y))?\nAnswer: 126*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004169 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 9*n = 3*j - 129, 0 = j - 3*n - 35. Calculate the remainder when 152 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 537*l**2. Let n(b) = -90994*b**2. Give i(n(y)).\nAnswer: 4446310615332*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 39, 135, 321, 627?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100111011100 (base 2) to base 4.\nAnswer: 21213130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 34*n**2 + 6. Determine m(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-17)\/z)*(z*z**(2\/35)\/z)\/z*z assuming z is positive.\nAnswer: z**(632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292418433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*t = -6*y + 72, -16 = -4*t. Suppose q + 1 = y. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 9069\nAnswer: 5\/9069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -1\/3 (b) -2256 (c) -2.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 483 and 0.02.\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 161. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + s = -74, 5*z = -3*s + 53 + 5. Let u be 7\/z - 70\/(-4). Suppose -2*l - 10 + u = 0. Solve 4 = -5*h + q - 3, -l*q = -5*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = -12. Let x = c - 0. Let k(q) = -5*q**3 - 2*q**2 - 2*q - 1. Let s be k(-1). Sort x, s, -3.\nAnswer: x, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24930101 to the power of 1\/2, to the nearest integer?\nAnswer: 4993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 43, -3\/4 in decreasing order.\nAnswer: 43, 3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15366, -61647, -138818, -246879, -385830, -555671, -756402?\nAnswer: -988023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/9 - 8*n**4\/9 - 22*n**3\/9 - 4*n**2\/3.\nAnswer: 2*n**2*(n - 6)*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.07 - -7. Let m = j - -0.07000035. Round m to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11099, 22180, 33243, 44288?\nAnswer: 55315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -6 (c) 1\/7 (d) -0.3 (e) 2\/11 (f) -566 (g) 945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -23*h - 12. Let o(a) = -57*a - 30. Let k(x) = 12*m(x) - 5*o(x). Let g(v) = 9 - 2*v + 2 + 19*v. Suppose 15*y - 33 = 12*y. Give y*k(r) - 6*g(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8983 - -8964 - (-2 - ((0 - (-1 + 0)) + -8)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 1, o: 1, g: 1}. Give prob of picking 1 o, 1 b, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 588747449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*l + 704 = 0, 152 = f + 80*l - 85*l. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 24*x**2 - 26*x - 5. Calculate j(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 + 2\/8. Find the third derivative of 3*t**2 - v + 1 - 3*t**3 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than or equal to 2675\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 + 17*f + 4. Determine a(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (-8 + 0 + 0)*(3 + 1 - 5))*(2 + 5*t - 2).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-8)\/(-28) - (-2866)\/14. Suppose -i = a - 207. Suppose 278 = 6*y - i*y + 2*t, 0 = -4*y - t + 275. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79059 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 8*z + 9. Let w be c(-8). Suppose 24 = 3*y + w. Suppose g = -5*b + 3*g + 25, b = -4*g + y. Solve b = -2*d + o, 4*d + 3*o - 2*o = -13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 2. Let n(w) be the second derivative of 2*w**3\/3 - 3*w**2\/2 + 3*w. Let x(r) = -3*n(r) - 5*u(r). Differentiate x(l) with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2075*n**4 + 1753365*n**3 - 12358850*n**2 + 21274320*n - 102240 = 0.\nAnswer: -852, 2\/415, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*u = 20, 12 = 5*m - u - 2*u. Suppose 5*q + 0*q = m. Let f be 1\/2 + q\/(-1). Put f, 2, 5 in ascending order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*((p\/(p**2*p)*p)\/p)\/p)**30*((p*p\/(p\/(p\/p**(1\/8)*p*p)))\/p*p*p*p)\/p**15)**(-25) assuming p is positive.\nAnswer: p**(7825\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3724 + 29743\/8. Let o(x) = 25*x**2 - 2*x + 2. Let c be o(9). Let p = 7991\/4 - c. What is the common denominator of p and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 3. Let y be h(4). Which is the third smallest value? (a) y (b) -3 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 5)\/((-32)\/(-48)). Suppose -172 = -5*r + o*x, -2*r + 79 + 5 = -5*x. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (-11 + 12)) + 3 - (3 + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**3\/3 + 17*r**2\/6 + 137*r\/3 - 287\/6 = 0.\nAnswer: -7, 1, 41\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (159\/6)\/((-4)\/(-8)). Determine s, given that 6*s - 38*s**4 - 8*s**2 + i*s**2 + 72*s**3 - 10*s**4 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27441 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272222 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 32*u - 29 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwrddml. Give prob of picking 1 l, 1 w, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26471758 is divided by 4774?\nAnswer: 4702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 26*t**2 + 5. Calculate x(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 - r + 14. Let j be -1*(0 + -1)*0. Suppose -4*c - 36 = -3*x - 0*c, 3*x - 36 = 2*c. What is the least common multiple of x and u(j)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140301 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863550?\nAnswer: 2, 5, 13, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4428745303?\nAnswer: 37, 139, 861121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) 166 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -h - 5*w, -5*h - 4*w - 203 = -11*h - 161 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = m + 6 + 6, -m + p = -3. Let k(j) be the second derivative of j**4\/12 - 3*j**3\/2 + 6*j**2 - 2*j. Determine k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 + 37*y**2 - 9*y + 7. Let l be p(9). Let x(o) = 302*o - 1. Let k be x(1). What is the greatest common divisor of l and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*4\/14)\/((-191)\/((-2087057)\/(-446))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 26 - 5. Let b = 15 - r. Let h be ((-5)\/(-2))\/(10\/b). Solve 4*c = 4*d + 4, 7 = -3*c - h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 3. Suppose -8 = 3*x - x. Does 6 divide u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 65832163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, -8\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + a9?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h\/h**(4\/9)*h)\/h)*h)**(-50))**(-27) assuming h is positive.\nAnswer: h**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**12\/s**(4\/13) assuming s is positive.\nAnswer: s**(152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 920917 and 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -99618, -199234, -298848, -398460?\n\"Answer: c**2 - 99619*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j + 7*j + 6*j**3 - 370*j - 3*j**3 as b*j**2 + w*j + i + z*j**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 2*k**7\/7 + 11*k**3\/2 + 4*k. What is the second derivative of w(z) wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65a (base 15) to base 7.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19873 - 38861\/2. Let v = u + -1316\/3. What is the common denominator of v and 31\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -3 - (0 - 0\/(-2)). Sort q, -5, -14.\nAnswer: -14, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, u: 5, t: 1}. Give prob of picking 2 b and 1 u.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 578697291452 - -0.595\nAnswer: 578697291452.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*m = -90, 5*m = -1086757*g + 1086753*g + 382 for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 55. Let y(n) = -5*n + 86. What is the least common multiple of w and y(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795976 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0231429 and -0.4?\nAnswer: 0.3768571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 2b37b?\nAnswer: -2b353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 176 = -n, 2*n + 277 = 281. Put 1, i, 11 in increasing order.\nAnswer: 1, 11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893\/12 + 7925\/108. What is the common denominator of 154\/(-260) + (-236)\/(-9204) and f?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40322, 40320, 40316, 40310?\nAnswer: 40302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 13*z - 12. Let m be c(12). Let l(k) = k**3 + 2*k**2 - 4*k + 3. Calculate the remainder when l(2) is divided by ((-9)\/15 + m)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3046*g = -4679*g + 29394 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/492 and -109\/900.\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6453188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2008006 and 34034.\nAnswer: 2008006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*((-2*u + 3*u - 2*u)*(3*u - 7*u + 3*u) - u + u - 2*u**2).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 + 1)*(6*j**3 - 2*j**3 - 2*j**3)*(-2 + 2 - 2*j**2).\nAnswer: -40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -2.95. Let u = -0.5 + 0.6. Which is the closest to u? (a) -4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614888478 is divided by 5494?\nAnswer: 5492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/2 + 21*x**4 - 324*x**3 + 2187*x**2 - 10935*x\/2.\nAnswer: -x*(x - 15)*(x - 9)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 491190, 982349, 1473508, 1964667, 2455826?\n\"Answer: 491159*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 - (50 + -36 + -94). What is the highest common divisor of g and 3303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316\/(-1422)*3\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 - 8*h**2 + 4*h**2 + 2*h**2 - 5*h**2 + (-5*h + 4*h - h)*(2 - 2 - h) + (0*h + h + h)*(4*h - 2*h + h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 11*n**2 - 46*n - n**2 - 7*n**2 + n**3 + 14*n**2 + 30. Let b be p(-23). What is the highest common divisor of 270 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 2136.\nAnswer: 34176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58008 is divided by 158.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2229788 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfz when three letters picked without replacement from {i: 2, f: 2, o: 2, m: 1, z: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1775 divided by 3\nAnswer: 1775\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*c + 2*c. Let n = c - 0. Suppose 24*f**2 + 50*f**2 - 6 - 45*f**n - 15*f - 8*f**2 = 0. What is f?\nAnswer: -1\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svsv when four letters picked without replacement from {s: 9, v: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let z(n) = -2*n**2 + 22*n + 8. Let d be z(11). Let p be (d\/14)\/(-2) - 104\/28. Which is the third biggest value? (a) h (b) p (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14680, -14679, -14678, -14677, -14676?\n\"Answer: i - 14681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2 - -3 - (-6 - -3)). Let c(f) = 39*f**2 + 4*f - 4. Let y be c(k). Suppose 34*l + 105 = y*l. Calculate the remainder when 31 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cusuriiireec. Give prob of picking 1 e and 2 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21310 divided by 5.\nAnswer: -4262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:11 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 11*s - 8. Does 23 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/41))**(-48)\/((b**(-2\/29)*b)\/(b\/(b**(9\/5)\/b))) assuming b is positive.\nAnswer: b**(-275786\/5945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o**2. Let c(u) = u**2 - 2. Let m(i) = -9*i**2 + 12. Let q(a) = 6*c(a) + m(a). Calculate q(t(f)).\nAnswer: -300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23230 times -34?\nAnswer: 789820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10094 - 2613 = -249*g - 8430 - 13969 for g.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 + 26*s - 5. Determine r(10).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d**4 + 3*d**3 + 11*d**2 - 3*d. Let b(x) = 12*x**4 - 4*x**3 - 12*x**2 + 4*x. Let c(o) = -3*b(o) - 4*g(o). Find the third derivative of c(z) wrt z.\nAnswer: 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 times -62883\nAnswer: -213802.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((-8)\/12 + 0). Suppose 2*x - 3*x + 4*y = -u, 3*y - 7 = -2*x. Suppose -4*b + 23 = 3. Solve -5*g - 5 = x*k - 20, -4*k - 6 = -b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/((-48)\/120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122 + 10\/5 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {w: 1, k: 1, q: 8, d: 1, u: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300 (base 7) to base 2.\nAnswer: -111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**7\/105 - 28*w**6\/75 + 51*w**5\/25 - 74*w**4\/15 + 97*w**3\/15 - 24*w**2\/5 - 666*w. Factor d(z).\nAnswer: 2*(z - 24)*(z - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2691245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12005 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10828427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873 (base 14) to base 2.\nAnswer: 11010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Let v = a + -1. Let o(h) = 15*h - 1. Is o(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 0, -5, 118.\nAnswer: -5, 0, 2, 11, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 110 = 888. Let x = v - -1899. What is the remainder when x is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g**2 - 27*g + 130. What are the prime factors of s(7)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n**3 - 6*n**2 - 6*n - 6. Let w(j) = 3360*j**2 + 403*j + 3304*j**2 - 1918*j**3 + 244*j**3 - 6261*j**2 + 403. Give -6*w(m) - 403*z(m).\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79546\/17 - -4678. What is the third biggest value in -0.2, -8, d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 - 2\/5. Let x(p) = p**2 - 11*p. Let m be x(11). Let n(u) = 2 + m + u - 7 + 0. What is n(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - -16. Suppose -5 = -2*p + 1. Suppose p*b - s = -b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*a - 174 = -20*a, -9374*i + 3*a - 5*a = -9377*i - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/7 + 1412*v**4\/7 - 2*v**3\/7 - 1412*v**2\/7 = 0. What is v?\nAnswer: -706, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 + 268*c - 16. Determine s(-43).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 32. Give v(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9266.7 to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573493?\nAnswer: 573493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 + 645.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 2*g - 25*g**2 + 20*g**2 in the form o*g**2 + n*g + b and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1))\/g)\/g)**13\/(g**(-1\/3)*((g\/(g**(1\/9)*g)*g)\/g)\/g))\/((g**(-1))**20\/(g**(1\/6)*g*g**(-1))) assuming g is positive.\nAnswer: g**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-28)\/21*3\/(-10))\/((-60382)\/(-665)).\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {w: 2, c: 1, t: 1, f: 2, i: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3010 - -3?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 3 (b) 0 (c) -0.2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9654 + -9618. Sort -2\/13, 0.1, 2\/21, r.\nAnswer: -2\/13, 2\/21, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-63))\/((1340\/(-6600))\/(-67)) + 10.\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170019 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1218 = -4*x - 2*k, 2*k - 1525 = -0*x - 5*x. Suppose -2*g + a = -121 - 77, x = 3*g + a. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 209629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1539)*2)**2 + -1 - (-5 + (0 + sqrt(1539))**2*3).\nAnswer: 217003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, z: 3, p: 2, j: 2, k: 3}. What is prob of sequence pj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*4*(-6)\/48*(-41144)\/278?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + -1*(-6)\/21. Solve s = -0*r + r - 4*z + 22, -3*r - 3*z + 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 392440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -0.647?\nAnswer: 0.00647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-2)\/(4\/(-6)). Let t = -11 + 13. Suppose 0 = t*n - 34 - 2. What is the greatest common factor of b and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 x when three letters picked without replacement from kskxksskssxsx.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {i: 1, v: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 22, 85, 216, 439, 778?\n\"Answer: 4*p**3 - 2*p**2 - 3*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*58357.\nAnswer: 175071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6307 is divided by 156?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -103, 5 in decreasing order.\nAnswer: 5, 2, 0, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 135. Let m be h(-10). What is the highest common divisor of m and 18375?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 112.9 and 54?\nAnswer: 58.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100793 and 2.\nAnswer: -201586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + ((-5 - -1) + 10 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 plus 0.19375459?\nAnswer: -688.80624541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -9, -10, -6\/31?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -2*h**2 + 1\/360*h**6 + 0*h + 1\/4*h**4 + 1\/3*h**3 + 1\/30*h**5 + 0. Let p(b) be the first derivative of n(b). What is p(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*p - 3 + 20*p + 52*p - 154*p.\nAnswer: -214*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*y + 3*h - 4*h, 0 = 5*y - 3*h + 57. Let x(d) = -d**2 - 10*d - 12. Let a be x(y). Let k be 0\/(6\/(6 + a)). Solve k = -5*u + 11 + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1802 - 1793.1802. Let u = n - -1788. Let v = -23 + 68\/3. Which is the nearest to v? (a) -3 (b) u (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 - 4. Let i be f(4). Let n(l) = -l - 5. Let c be n(i). Let z(x) = -2*x**3 - x**2 + 1. What is z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + -601\/4. What is the closest to 2\/9 in 0.2, y, -0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syhaappaabhsbpsbahaa. What is prob of picking 1 p, 1 a, and 1 h?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87894321 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 63 = -5*l - 8, -11191*l = -3*r - 11186*l - 43 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {h: 3, j: 2, v: 2, g: 4, q: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 36*f**2 + 117.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60306211 to three dps.\nAnswer: 0.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-1 + 4) - 1*-3. Solve -r - 11 = -2*r - 2*y, -2*y = -c*r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1 - 2*p + 0*p. Suppose -90 = -4*g + 2*r, 0*g - 5*r + 75 = 2*g. Let f = g - 26. Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(70\/100) + 0 and 31\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(162) - (sqrt(162)*3 - sqrt(162))) - 3*(sqrt(162) + 0))**2.\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115, -289, -607, -1093, -1771?\n\"Answer: -4*v**3 - 48*v**2 - 2*v - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 31894.\nAnswer: -3\/31894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 618.0996 - 618. Let u = g - 0.3015. What is u rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119232 + 119232 - b - b - 29*b**3.\nAnswer: -29*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 + 43 = 0. Suppose -3*j + 5*d + 12 + 11 = 0, 4*j + 4*d = -p. Solve -f - j = 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 60*g - 42*g)*(3 + 9 + 76).\nAnswer: -8360*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18499 - 16865. Calculate the greatest common factor of s and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giiggiiigggg. Give prob of picking 4 i.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192924, 385849, 578774, 771699, 964624?\nAnswer: 1157549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 20 = 5*h - 0*f, h + 3*f - 20 = 0. Suppose -y - y + h*s + 62 = 0, -3*y + 139 = 4*s. What is the remainder when y is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*b**2 + 13*b - 13*b)*(-101*b - 528 + 528).\nAnswer: 202*b**3 + 505*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b12 (base 12) in base 13?\nAnswer: -b97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8351 - 1933. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -526 + 2628\/5. Sort 2\/7, a, 2, -4\/19 in decreasing order.\nAnswer: 2, 2\/7, -4\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 63 + 250\/33*n**3 + 1\/330*n**6 + n + 625\/22*n**2 + 25\/22*n**4 + 1\/11*n**5. Factor o(f).\nAnswer: (f + 5)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + -3) - (0 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y**3 - 2*y**2 + 2*y + 2. Let f be j(2). Suppose 12 = 6*b - f. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2513*n + 1741*n - 261*n + 32 - 32.\nAnswer: 3993*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-4))\/(531\/(-472)*(238\/(-21))\/17).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -12*q**2 + 13784*q + 4596 = 0.\nAnswer: -1\/3, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**2 + 404*a + 1118. Determine m(70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2\/5, 13.1 in decreasing order.\nAnswer: 13.1, 0, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 392. Suppose 0 = -3*b + 5*b - u. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 6. Let g(a) = -2*a - 12. Let c(h) = -7*f(h) - 4*g(h). What are the prime factors of c(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2\/2 + 1. Let z(g) be the first derivative of 0*g + 1\/3*g**3 + 2*g**2 + 10. What is j(z(p))?\nAnswer: p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 738 + -489. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484502161 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49111163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 33*f**2. Let y be t(-1). Suppose w - 4*w = -y. Suppose c = -6 + 94. What is the highest common factor of c and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/20)*t))\/(t\/((t\/(t*t**(4\/5)))\/t))*t**(-8\/5)\/((t\/t**(-4\/3)*t*t*t)\/t) assuming t is positive.\nAnswer: t**(-527\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 282315407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 9*c**6\/10 - 5*c**4\/12 - 27*c. What is the third derivative of p(l) wrt l?\nAnswer: 648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23434023 (base 5) in base 7?\nAnswer: -1565415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10568 times 9389?\nAnswer: 99222952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**6\/30 + l**5\/20 + l**4\/12 - l**3\/6 + 3*l + 2. Let b(a) be the first derivative of h(a). Determine r, given that b(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 5. What is the first derivative of -23*q + 8*q + v*q - 6 wrt q?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942140?\nAnswer: 2, 3, 5, 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 29*r**4\/12 - 11*r**3\/3 - 8*r. What is the second derivative of n(m) wrt m?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2295, -0.5, -6, -5, -4\/3.\nAnswer: -2295, -6, -5, -4\/3, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.13. Let d = 0.17 - c. Let z(f) = -f**2 + 3*f + 1. Let h be z(4). Is h at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*3\/((-180)\/(-12))*(-5)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 19*g**6\/120 - g**5\/60 - g**4\/8 + g**3\/3 - 2*g**2. Let l be i(2). Suppose -w - w + l = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 4. Let u be 1\/(-2)*8\/2. Let z be d(u). Suppose 7*q = -5 - 30. Do z and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 9. Let f be g(3). Find the third derivative of o**2 + 6*o**6 - 14*o**6 + 11*o**f wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 4*k**4 - 5*k**3\/3 - 4*k**2 + 2084*k + 6127. Find the first derivative of u(q) wrt q.\nAnswer: 48*q**2 - 10*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -136*l - 7. What is f(-1)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16163782 or 16163781?\nAnswer: 16163782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14868, -29735, -44602, -59469?\nAnswer: -74336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5379 - -5439. Calculate the lowest common multiple of 96 and c.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/((-27)\/(-30))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1101?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 2180400*y**2.\nAnswer: 4*y**2*(y - 545100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 3, a: 2}. What is prob of sequence pcp?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m**3 - 16*m**2 - 75*m - 55. Give b(-4).\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3710*y**2*z**3 - 471*y**2*z - y**2 + y*z**3 - 3*y*z - 3*y + z**3 - 185*z**2 - 163*z wrt y.\nAnswer: 7420*z**3 - 942*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 25*n - 720 = 0. Suppose 0 = n*h + 8*h - 208. What is the lowest common multiple of 109 and h?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -6, 1 in decreasing order.\nAnswer: 1, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 minutes after 7:02 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60970 and 2002.\nAnswer: 670670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85449 and 141947?\nAnswer: 933017631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3\/3 + 5*g**2\/2 + 4*g + 95. Factor c(f).\nAnswer: (f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1652\/(-590) - ((-19)\/5 - -4)) + 214\/70.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.69982 and -0.1.\nAnswer: 5.59982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 110*i + 75. Give c(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110800 divided by -27700.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/3 - (-9)\/(-3). Let c = 140 + -141. Let q = i + c. Solve g + q = -4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120950 divided by 25\nAnswer: -4838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 160*t + 15 - 80*t - 75*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 + -1163)*2\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38417206429.1 and 0.4?\nAnswer: 38417206429.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 5. Let o be y(-4). Let a = o + -14. Suppose -15 = -2*g - a. Calculate the remainder when 16 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + -1*(sqrt(3)*1 + sqrt(3)))**2*-2.\nAnswer: -36 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1.177 (b) 1\/8 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -2 - (-32)\/18. Let b = 28.44 + -28.4. Sort b, 5, p.\nAnswer: p, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19300 = -6*h + 24712. Calculate the remainder when h is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 - 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -12221 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3367.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2\/2 + 2*h + 4. Let u be n(6). Let s(i) = -i**3 - 3*i + 3. Is s(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*d**2 - 100*c**3*n - c**2*d**2*n - 10*c**2*d - 17*c*d*n - 2*c*n - 31016499*d**2*n - 3*d*n + 7*d - n wrt d.\nAnswer: 2*c**3 - 2*c**2*n - 62032998*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -811\nAnswer: -648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)\/(((f*f*f**(-1\/16))\/f)\/f)*f*f*f*f\/(f\/f**24)*f*f*f**(-2\/27) assuming f is positive.\nAnswer: f**(13387\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6060652, -6060678, -6060720, -6060778, -6060852, -6060942?\n\"Answer: -8*l**2 - 2*l - 6060642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276245583?\nAnswer: 3, 13, 9334033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14530435 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36, -0.1, 0.13, -0.6, -2\/5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -52. Let j be (-75)\/18 + (-4)\/n. Let g = 6.9 - 4.9. Which is the closest to 0.1? (a) g (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:49 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 1. Let g be h(3). Let m(c) = g*c - 3*c + c + c. Let j(a) = 6*a - 4*a - 3*a. What is j(m(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose 0 = -h + z*h - 3. Solve 2*i - h*i + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.39 - -0.35. Let r = -71.96 - -69. Let l = r + p. What is the second biggest value in l, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6341563 is divided by 78.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:37 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3631178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1. Let t(w) = -3*w + 6. Suppose 2*y - 3 + 1 = 0. Let z be ((1 + y)\/(-2))\/(-1). Calculate z*t(p) + 4*n(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 867982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 2*o. Suppose -6*w = -9*w + 3. Let d(a) = a**2. What is w*c(i) - 6*d(i)?\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 11079102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 + 6. Let x(y) = -y**2 - 1. Let k(s) = -f(s) - 6*x(s). Let g(p) = -3 + 1 + 3*p**2 + 2. What is g(k(z))?\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.10076 + -0.489. Round w to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259 + 257. Which is the biggest value? (a) -5.6 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 - 6*j**4 - 48*j**3 + 16*j**2 + 288*j + 288.\nAnswer: 2*(j - 6)*(j - 3)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -535 (base 9) to base 15\nAnswer: -1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**2 - 9*p - 35. Let y(m) = 7*m**2 + 10*m + 38. Let f(j) = -7*l(j) - 6*y(j). Differentiate f(o) wrt o.\nAnswer: 14*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268889*b**4 - b**3*x**3 - 7728*b**2*x**3 - 3*b*x**3 wrt b.\nAnswer: -6453336*b - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152217, 1217697, 4109709, 9741519, 19026393?\n\"Answer: 152211*t**3 + 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-8)\/(-136)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clcc when four letters picked without replacement from {y: 1, t: 3, a: 1, c: 6, l: 6}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10098912 a multiple of 708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c**2 + 5*c - 5*c.\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 5056.5?\nAnswer: 5059.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 89?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*z - 9814 = 25317, 5*c + 5*z + 35075 = 0. Do c and -7023 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let t(o) = 2*o**2 + o. Let c be (-12)\/(-4) + 6\/(-2). Suppose -5*v - 3*h - 7 + 2 = 0, 2*v - 3*h + 2 = c. Give v*t(g) - 2*y(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.7 + -4.1. Which is bigger: 17 or h?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-18)*-3*(1 - 1). Let o(w) = 36*w + 24. Is 24 a factor of o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.24 take away 0?\nAnswer: 14.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 274.\nAnswer: -6\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/10 + 9*m**2\/10 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10*x = 95, -22 = -2*k - 333197*x + 333195*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1341 by -1.\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/10)*b)\/(b\/((b*b\/(b*b**(-2\/13)))\/b)))\/(b\/b**(-4))**(-12))**(-4) assuming b is positive.\nAnswer: b**(-15562\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -127. Calculate the highest common divisor of 40 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -445*s**3 - 32*s**2 + 33*s + 264. Let l(r) = -r**3 + r**2 - r - 8. Calculate -2*f(o) - 66*l(o).\nAnswer: 956*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34433 - 9377 = -26*q. Find the third derivative of -q*s**4 + 1640*s**4 - s**3 - 81*s**2 + 1 + s**3 wrt s.\nAnswer: -1080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawdqaaagqwawqqaa. What is prob of picking 1 w and 2 a?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-9)\/7*(-5831)\/(-357).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 26*n - 26. What is the hundreds digit of j(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26960313 and 6513.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590382*a**3 + 591549*a**3 + 0 + 0 + 2188*a**2 wrt a?\nAnswer: 7002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 871 + 106*h - 871 to the form f + p*h and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*h + 2448 - 2570 + h.\nAnswer: -85*h - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10))\/(1648\/(-2060)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 4*l + 5*f - 32, 3*l - 6*f - 272 = -242 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d9d - 3?\nAnswer: 6d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 315029990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p + a - 0, 0 = -p + 4*a + 22. Let h(o) = 1 - 5 - o - p. Determine h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2326236 and 2948?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79891.71 years?\nAnswer: 798.9171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 1016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i + 4. Let j(v) = -v. Let s(l) = 2*j(l) + z(l). Let b(c) be the second derivative of -c**3 - 3*c**2\/2 - 15*c. Determine -6*b(u) - 5*s(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 4 (c) -266 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7080 = -181*r + 7762. Calculate the greatest common divisor of 22222 and r.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 - 13176.\nAnswer: -13103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568533.\nAnswer: 3, 7, 27073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u - 4. Suppose -3*s - 4 = -16. Let w be (7 - s)*(-20)\/(-12). Let j(h) = 6*h + 3. Calculate w*j(a) + 4*d(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 55\/3. Let o = 31\/3 + -10. Factor o*b**4 + 0 - 1\/3*b**3 - x*b**2 + 1\/3*b**5 + 0*b.\nAnswer: b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, -66, -98?\n\"Answer: -32*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 2. Suppose 20 = 4*y, 0 = k + 4*k + 5*y - 30. Let w be v(k). Find m, given that -7*m**2 + 3*m**w + 6*m**2 + 0*m**2 - 2*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3*v**2 + 773*g**3 + 364*v**4 wrt v?\nAnswer: -4*g**3*v + 1456*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 - 1\/2. Let a be d\/2*(-11 - 47). Solve 0 = z - 5*k + 25, -6*z + k = -z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 68*s**3 - 364*s**2 - 588*s.\nAnswer: -4*s*(s + 3)*(s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 e when three letters picked without replacement from niyfennine.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 23\/7, 1 in decreasing order.\nAnswer: 4, 23\/7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 7. Let g be p(5). Suppose -2*f + 0*f - 2 = -5*d, d + g = 5*f. Suppose y - 110 = f*m, -5*y - 2*m + 538 = -100. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210021122202 + 12?\nAnswer: 10210021122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + 0 - (-20 - (18 + -19) - -31)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273734 + 173734. Round b to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/((-96)\/(-20))*3. Let h(j) be the first derivative of 0*j**3 - 4\/5*j**p - 5*j + 0*j**2 + 0*j**4 + 5. Find the first derivative of h(g) wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277515 smaller than 2277516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.3 rounded to 0 dps?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -308277\nAnswer: -18496620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/11)\/((-175)\/50*2\/14).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.85 * -0.2.\nAnswer: -4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -4\/5 (c) -2\/11 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24669 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-484)\/(-110) + -1*5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 29. Let t be p(-11). What is the units digit of t\/(-6) + (-1340)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 87*s**2 - 48*s + 22. Suppose -72 = -2*t + 5*m - 2*m, 122 = 4*t + 5*m. Calculate the remainder when b(1) is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {t: 4, e: 1, c: 1, k: 1, h: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 121*a - 1054. Determine p(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 6. Let f be v(-4). Let g = f + -6. Suppose 3*x - 3*p = x - g, 0 = 5*x + p - 4. Which is smaller: x or 14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5904)\/(-44460) - (-48)\/2280.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 36*d**2 - 22*d. Let g(l) = 5*l**2 - 3*l. Let i(r) = -6*a(r) + 44*g(r). Let w(k) be the third derivative of -k**4\/12 + 4*k**2. Give w(i(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 202 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - s + 2 = -173, -215 = -5*m - 2*s. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 4 - 34 - (-910 + 901).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3007582*c**4 - 187*c + 5118.\nAnswer: -36090984*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-105))\/(120\/(-140))*45\/(-50)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2263200 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8110*a**6 - 34*a**2 - a - 10 wrt a?\nAnswer: -973200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.5. Let b be (4\/36 - 1)*(-99)\/22 - 7. What is the closest to 2\/5 in b, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 8 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from rirddroyrdrdddiydy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163247 is divided by 966.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (-2 - (-2 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 - g - 15. Determine q(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07152 + -0.0712676. What is v rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 14 + 0*q - 89\/2*q**2. Let d(m) = m**2. Calculate z(d(w)).\nAnswer: -89*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28 - -4 - -1) + -3. Let v = 17 + q. Let x be 3\/(-1) - (v + 6). Solve 3*n = 4*h - 9, x*h + 2*h - 15 = 5*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13b7b2 + -12?\nAnswer: 13b7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 12*l + 5. Let z be f(6). Suppose -2 = -4*i + 6. Let s(b) = -5*b - 4*b**i - b**2 + 1 + b**2 + b**3. Determine s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1023 + 1023 - 40*x + 9*x - x**2 in the form y + n*x**2 + o*x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 7*o**2\/2 - 8*o - 6.\nAnswer: -(o + 2)**2*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/18 and 121\/89028?\nAnswer: 89028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*z + 3*o, -28 - 2 = -5*z + 5*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4206 + 6000. Suppose 3*o - 2696 + 902 = -5*f, -3*o + 3*f = -j. What are the prime factors of o?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*a - 40 + 36, a + 2*m - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 4:21 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 164 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 3846 = 0. What is the tens digit of n\/(-34) - 10\/85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -3)\/((-21)\/(-14)). Let a be (-4 + 3)\/(f\/26). Let u(r) = r**2 - 12*r + 18. What is the tens digit of u(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = -y + 17, -5*s = -25. Let u(m) = m**3 + 4*m**2. Suppose -2*j = -3*j - 4. Let c be u(j). Does y = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 6*z - 163. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n - 2. Let d(j) = 3*j + 2. Let g(z) = 3*d(z) + 2*m(z). What are the prime factors of g(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:23 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (5 - 3) + -2. Let i be -4*-1*(-1)\/(-2). Suppose 10 + i = o*v. Solve k - r + v*r + 6 = 0, 3*r + 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - 0.1.\nAnswer: -70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -52?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*q = l + 15, q = l + 3. Let g(u) = -u**3 - 4*u**2 - 4*u - 3. What is g(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 1 + 531*f**2 + 290*f**2 in the form a*f**2 + j + p*f and give a.\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199815193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53718 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43551 - 157935 = -1855*t + 89666 for t.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.09?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 787 + -2105?\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9773*v + 19558. Give z(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5346.857026 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*v - 6 = 4*b - 2*b + 4, 4*v = 42*b - 36*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + b - 4 + (1 + 0 + 1)*(4 + 10 + 11)*(-b + 4*b - 4*b)*(-1 - 1 + 3).\nAnswer: -49*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12 + 6 - n - 1. Let o be y(14). Let v be o*1 - (-9 + 6). Solve 2*g + 12 = v*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1386 - 1)*(-2)\/5. Is (-1)\/(-5) + k\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 20*g + 1\/2*g**2 + 0 + 2\/3*g**3. Let s(f) = -8*f - 2. Determine 6*s(i) + 13*t(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, i: 1, v: 3}. What is prob of sequence gvig?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75\/4 of a meter?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/1792077 and -34\/9563?\nAnswer: 234762087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*v + 0 - 524*v + 364*v + 0 + 363*v + 1.\nAnswer: -26*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - -47) + (21 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*134.5.\nAnswer: 672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 3*f - 162. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.7 - 60. Let a = 0.19 + -5.19. What is the nearest to s in a, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 7*h - 1. Let f be a(7). Let u be 3366\/605 - (-5 - -11) - 8\/(-10). Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(82\/(1312\/112)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 2:41 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(300) + sqrt(12))\/sqrt(6) + -5).\nAnswer: -25 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 516\/1032*8\/(-46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 44*n**2 + 25*n - 1. Let u(x) = 9*x**2 - 5*x. Let v(w) = -2*a(w) - 11*u(w). Let m be v(-6). Put -0.5, m, 0.3 in decreasing order.\nAnswer: m, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 987*j**4 + 1926*j**3 + 891*j**2 - 48*j = 0.\nAnswer: -1, 0, 16\/329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 38. Let w be f(-17). Let g = w - 68. Suppose 0 = -4*j + 3*z + 617, 0*j + 2*j - g*z = 316. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w - 385 = -121 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + h - 16 = 0, -h = -4*l - 26 + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203160091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634673.\nAnswer: 13, 48821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 1. Let z(q) = q**2 + 22*q + 103. Let o be z(-6). Calculate s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24\/312 + 84928\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7*y + 17 = 4*y, -4*s - y = -16. Suppose 9*h + 5*d = 8*h + 266, -s*h = -d - 1330. List the prime factors of h.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1511 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4417.25 and -2.\nAnswer: 8834.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228779 is divided by 491?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:54 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmbfmlmcmcmmf. Give prob of picking 1 l and 1 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19458 divided by 94?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00590956902 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 738444?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -5*d**2\/2 - d - 16. Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100010 - -10010?\nAnswer: -1110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/((-17)\/85)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4702 - -56377\/12. Suppose -k - 5*m + 262 = 3*k, -2*k + 4*m + 144 = 0. Find the common denominator of (k + 5)*(-2)\/(-4) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396285624.\nAnswer: 2, 174535703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. What is the lowest common multiple of ((-1)\/(-3))\/((-2)\/(-6)) and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330604601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -2310, -5907, -11150, -18039, -26574, -36755?\nAnswer: -48582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*i + 768, f = -0*i - i + 191. Suppose -3*s + 2*s = -f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -5*j**3\/3 - 6*j. Let w(g) = 4*g. Give w(x(z)).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -67, -2.\nAnswer: -67, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qgqiqqqfqigggqiqqg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -5*m - 70. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 512184*a**4 + 14085493*a wrt a?\nAnswer: 6146208*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17479\/(-10648) - 2028\/(-1248)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -485*l**2. Let w(i) = 134*i. Determine w(b(t)).\nAnswer: -64990*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 94*1\/5 + 1\/5. Solve 0 = 4*g + 3*y + 11, 5*g + n = -4*y + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 8*c**2 - c + 4. Let m be t(-3). Calculate the common denominator of (-1 - -2) + 51\/(-2) and (m\/(-5))\/((-16)\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*r**4 - 896*r**3 + 678*r**2 + 248*r + 19.\nAnswer: -(r - 1)*(r + 19)*(7*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 11*q**2 - 10*q + 1. Let a be x(-10). Let r = 0 + a. Suppose -4*l - 5*j = -13, -2 = -j - r. Solve 2*h + l = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 156 = 2*f. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 + 8*l = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**18\/t)))\/t**10*t**(-13)\/t*t*t*t\/(t\/(t*(((t*t**(-9\/2)*t)\/t)\/t*t*t)\/t))*t assuming t is positive.\nAnswer: t**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232190536 is divided by 2254277.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 + 2*h + 9. Let a be 3\/(2*((-44)\/16 - -3)). What is the least common multiple of (-16)\/(-6) + 9\/27 and s(a)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 756?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10449739*t**3 + 3*t**2 - 2*t - 11909 wrt t?\nAnswer: -62698434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64558397551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 702a2760 - 6?\nAnswer: 702a2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 114 = -3*f. Let x = f + -37. Solve 2*j + 11 - x = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 1\/9*d**3 + 2\/45*d**6 - 1\/9*d**4 + 0*d**2 - 1\/63*d**7 + 0 + 110*d + 0*d**5. Factor x(c).\nAnswer: -2*c*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5087040, 10174082, 15261124, 20348166, 25435208?\n\"Answer: 5087042*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/((-6)\/8))\/(2\/9). Let r(b) = -1062*b - 49. Let s be r(h). Suppose -c + s = 2*n, 4*n = -n + 5*c + 15830. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 94*f + 8611. Calculate p(-95).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(1331)*1 + 1)*5*-3 + 0)*-4 + -4)**2.\nAnswer: -84480*sqrt(11) + 4795696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/2 of a meter?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {c: 3, z: 3, m: 6, f: 4, p: 2, g: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 + 7. Let d = s - 0.3. Let m = -0.1 - d. Which is the closest to -0.1? (a) -2 (b) 3\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0775 and -7.\nAnswer: 0.5425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182739.\nAnswer: 3, 7, 31, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 177017 minus 51?\nAnswer: 176966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 15*a - 3*h = 8, 8 = 3*a - 5*h. Let k(p) = -6*p**3 - 5*p**2 - 16*p - 26. Is k(a) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3*d**2 + 4*d - 3. Calculate the remainder when 53 is divided by r(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559523332?\nAnswer: 2, 29, 53, 91009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.60372 and 4532417.\nAnswer: 4532416.39628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/3619 - 25329\/7238. Let d = -3.2 + 3. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:24 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose 0 = -s + 8 - h. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1607 - -1602. Put -1, t, 5, -13 in decreasing order.\nAnswer: 5, -1, t, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f - 124. Let v be b(-14). Solve -v*g + 10 = 2*g + z, -4 = -2*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4.5 (b) 2 (c) -0.2 (d) 0.065\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by -3.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1444 + 2301. What are the prime factors of a?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*y**2 + 3*y**4 - y**4 - 2*y**3 - 2 - y + 73*y**2 in the form g*y**2 + c*y + m*y**3 + z + i*y**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j + 1. Suppose -k + j = -4. Sort -5, -1, k, -4 in ascending order.\nAnswer: -5, -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*t + 514*t - 1047*t - t**2.\nAnswer: -t**2 + 81*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + 9*v - 11. Let a(z) = -z**3 + 2*z - 3. Let s(o) = 9*a(o) - 2*x(o). Differentiate s(h) with respect to h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.133175l to millilitres.\nAnswer: 133.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 - 1 = 0. Let o be 3\/(-18)*-3*4. Let d = o + 2. Solve -d*s - 15 = j*r, -3*r - r + 3*s = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.53 and -7887?\nAnswer: -4180.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from {p: 5, a: 4, j: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004907807 rounded to 7 dps?\nAnswer: -0.0004908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/44*12)\/(2\/2). Solve 18 = x*c - 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-12)*(-2 + (-3)\/(-3)). Sort 0.2, -3, u in descending order.\nAnswer: 0.2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 228\/5. Let r = -12 - -37\/3. Which is the closest to r? (a) 4\/3 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*r + 8, -r + 3*h = 15 - 4. Let o = -0.05 + 2.05. Let c be (2\/(-3))\/(2\/(-12)). What is the third smallest value in c, r, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3350 + 23445 = 5*a, -2*f + 16078 = 4*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0 + 1\/150*r**6 + r - 7*r**2 - 2\/15*r**4 + 8\/5*r**3 - 1\/25*r**5. Determine n, given that q(n) = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let n(j) = 0*j**2 - 2*j**2 - 5*j**2 - 11*j**2. What is n(p(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5496 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 8*b**2 - 10*b - 4. What is the smallest common multiple of k(-7) and 7\/28*32 + 0?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 630, 628, 624, 618, 610, 600, 588?\n\"Answer: -a**2 + a + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**3 + 4*u**2 - 4*u - 24. Let r(k) = -k**2 + k. Let i(n) = -p(n) - 4*r(n). Differentiate i(d) wrt d.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**2 + 8*k**2 - 10*k**2 - 16*k**2 - 13*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 18*s - 21*s + 464, -s + 2*i + 148 = 0. What is the greatest common factor of 4264 and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksykfkkykuufyytkt. What is prob of sequence kyu?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*g**2 + 116*g + 328*g**2 - 76*g**2 - 76*g**2 - 80*g**2.\nAnswer: 4*g**2 + 116*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 390. Calculate the remainder when u(-56) is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n + 7. Let z be i(0). Let c = -4 + z. Suppose c*w = -w. Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -541, -1574, -3117, -5170, -7733, -10806?\n\"Answer: -255*k**2 + 242*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.7 + 21. Let g = 63.3 - 61.3. What is the second smallest value in -12, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*o - 19 = 0, 0*x + 2*x - 5*o - 29 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 128800?\nAnswer: 128800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1502935*n**4 + 2*n**3 + 2842778*n**2.\nAnswer: 36070440*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77268, 77273, 77280, 77289, 77300, 77313, 77328?\nAnswer: 77345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3146276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23090867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {k: 3, z: 3, i: 6, y: 5}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 0*f**2 - 29*f + 24 + 24*f - f**2. Let b be l(-8). Which is smaller: 1\/35 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - -3*(-3 + sqrt(325)) - sqrt(325))**2.\nAnswer: -270*sqrt(13) + 3006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560684 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**5\/3 - 6572*i**4 + 2*i**3 + 59144*i**2\/3 - 13144*i = 0.\nAnswer: -9858, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 16*d + 6. Let m be c(-16). Let k = 46 - m. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -25.7 (c) 1310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o + 43*o + 147*o.\nAnswer: 166*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 3*m**2 + 2*m - 1. Let j be h(2). Let r(d) = d**3 - d**2 - d - 1. Let q(o) = 4*o**3 + 2*o**2 - 4*o - 2. What is j*q(c) + 2*r(c)?\nAnswer: -2*c**3 - 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 602625 (base 11) to base 10\nAnswer: 969721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - sqrt(243)*-1) + 1 + 1 + -3*(-2 + (sqrt(243) - ((0 + sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243)))))**2.\nAnswer: -144*sqrt(3) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*p + 10, -x + 0*p + 8 = -5*p. Suppose 0 = 3*v + 3*c - 15, -v + 3 - 7 = 4*c. Let m(l) = 6*l**2. Let y be m(0). Solve y = -x*r - r + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6525*a*b*p + 2331*a*p - 4*b*p + 13*p with respect to b.\nAnswer: 6525*a*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220210 (base 3) to base 8.\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 314*a**2*n**2*x**2 - 2*a**2*n*x + 2*a**2*x + 2*a*n**2*x**2 + 2*a*n**2*x + 14*a*n*x + 19*n wrt a?\nAnswer: 628*n**2*x**2 - 4*n*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d - 177. Let i be k(-23). Let r(o) = 8 + 0 - 4*o + 0. What is r(i)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 1. Let k be a(-9). Suppose -3*c = -4*c. Suppose -2*y = -c*y - 78. What is the greatest common factor of k and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-97\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517263 is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**2*x**5 - 231*p**2*x**3 + 1147*p**2*x - 5*x**3 - 3*x**2 wrt x?\nAnswer: -60*p**2*x**2 - 1386*p**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 2, -0.1048, 0.5, 0.3?\nAnswer: -0.1048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 1, l: 2, j: 1, f: 2}. What is prob of sequence lklf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 15 + 6)*(2 - 2 + 1776*i - 2144*i).\nAnswer: -12512*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 810120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/386 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let a be o(0). Suppose a = t + 2*t - 33. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9)*-5*9. Let p = 10 - f. What is the smallest value in -1\/3, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -857 - -849. Is -220\/3 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*v - 13 = 0, -39*v = 4*b + 2748 - 2822 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.60296 hours in days?\nAnswer: 2.56679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3279747791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 2. Let a be p(3). Let h(l) = a*l - 4*l + 2*l - 4. Let x(k) = -k**3 + 2*k**2 + 4*k. Let u be x(3). Calculate h(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70962 by 11827.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3642 * -70.\nAnswer: 254940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 124731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*(sqrt(3) + 0) - 4*(sqrt(3) + 0)))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1923e2 (base 15) in base 4?\nAnswer: -10222133231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7149598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - 11?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -3*t - 11*p + 2, 2*t = 4*p. Solve -5*z + 2*u = -0*z - 3, 14 = 2*z - t*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129\/(((-190)\/(-95))\/(2\/6*2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5589.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4 = 5*t, -795*t - 3*i = -798*t + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**3 + 7*p**2 - 13*p + 6. What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 19125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(99)*2 + (2*sqrt(99) - sqrt(99))*2)*-2)\/(-6*sqrt(36)\/(sqrt(396)\/sqrt(11))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -505, -545, -599?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*q - 26 = -30, -4*a + 2*q = 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**2 + 15*j**2 - 29*j**2. Let x be 0 - (13 + -1)\/(-4). Let k(r) = r - 3*r + 4*r + x*r. Calculate k(p(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**4 + 3*f**4 - 5*f**4 + (-1 + 5 - 2)*(-f**4 - 2*f**4 - 8*f**4) to i*f**3 + p*f + j + r*f**2 + v*f**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*1*sqrt(171) - sqrt(171)) + 5 - 1*(2 + 0 + sqrt(171) + 5)**2) + -4.\nAnswer: -219 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 + -2)\/(13 - 80\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95718*o**4 + 2*o**2 + 6913.\nAnswer: 2297232*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*q - 252*q + 958*q - 293*q.\nAnswer: 105*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h + 3*d - 55, 0 = -4*h + 2*d - 98. Let a = h - -26. Suppose 60 + 12 = a*p. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000309313114 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Suppose 0 = k*g - 3*h - 10 - 10, -h + 5 = g. Suppose -g*n - 30 + 80 = 0. What is the least common multiple of n and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-7)*(n\/(n\/n**6*n*n))\/n*n*n**(-3\/8)*(((n\/((n\/n**(-8))\/n))\/n)\/(n\/(n\/n**(2\/3))))**(5\/3) assuming n is positive.\nAnswer: n**(-443\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.281 + -5\nAnswer: -4.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 490)\/(75\/75).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxeh when four letters picked without replacement from ehxxkkyhxh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*b - 0*b. Solve -b = -4*s + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 119*w - 18559. Let q be i(156). Factor -q*a**2 - 13\/3 + 1\/3*a**3 + 9*a.\nAnswer: (a - 13)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-144)\/(-504))\/(-2*(-8)\/960)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 14*a - 84, -4*q - 9*q + 15*q = -4*a + 36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-3)\/(-66))*(-9)\/18. What is the derivative of -x*g**2 - 472*g + 2*g**3 - 36 + 472*g wrt g?\nAnswer: 6*g**2 - 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**3 + 5*f**2 - 416*f - 53. Is k(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 3241591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*o + 2*o. Let z = -1.7 - -1.3. Which is the closest to -1? (a) z (b) -2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 494*d - 5144 - 3296 + 3006 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 19. Let a(u) = 2*u**2 - 13*u - 7. Let f be a(n). Solve 2 = 4*h - 4*s - 6, f = h - 5*s - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 49 - -2) + -3. Let i = a + -27. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 = -3*m - 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 485 - 13097\/27. Let d = -44\/135 + a. What is the closest to d in 2\/3, -5\/2, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030615204 rounded to five dps?\nAnswer: 0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 13 = -2*h. Suppose u - 4 = -h. List the prime factors of (-2)\/(-6) - u\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -28*m - 5. Let r(h) = -7*h. Let g be r(1). Let c(b) = 14*b + 3. Let v(z) = g*c(z) - 4*x(z). Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -685 - -684. What is the fourth biggest value in 1, 2, j, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from duwbuwuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 2.5. Which is bigger: 14 or y?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-12) - 15\/(-4). Suppose -f*r + 2 = 14. Let x = r - -4. Solve -4*i + x = -i + y, -4*y = 2*i - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34285844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2. Let s(m) = -10076*m. Calculate s(u(h)).\nAnswer: 30228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2585914016.00000023 - 2585914058. Let u = -42 - j. Round u to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n**3 - 3*n**2 - 3*n - 1. Calculate l(-2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 7. Let q = -8 + 1. Let i = q + 12. Let m be a(i). Solve m*o = 7*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 10*r - 10 = 15*r, 0 = -i + 2*r + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = -27*l - 99 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -9 + (-13 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in 55400, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 29 - 8*w - 22754295*w**3 + 22754293*w**3 - 3*w**4 + 2*w**4 as g*w + m*w**2 + i*w**4 + n*w**3 + c and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2308*s - 45. Let y be k(5). Round y to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llplpulqlpkupplpplu. Give prob of picking 2 p.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 16*u + 42. Let j be p(10). Factor -2\/7*q + 0*q**4 - 2\/7*q**5 + 0 + 0*q**j + 4\/7*q**3.\nAnswer: -2*q*(q - 1)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -2 - (30 - 34)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -29. Let x be (-1)\/(o\/6) + 4926\/15. Suppose x = 3*r - 0*r - t, -3*t = 3*r - 312. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 345 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 78 = c. Suppose 3*m - 114 = -4*b, -3 - 3 = 2*b. Let o = m - c. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/(r\/((r**(-2\/5)*r)\/r)))\/(r**1*r*r*r*r**14*r*r*r*r) assuming r is positive.\nAnswer: r**(-697\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*i**3*x**2 + 10*i**3 - 257*i**2*x - x**2 wrt i.\nAnswer: 372*x**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33978 and 0.2?\nAnswer: 6795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, 1, -5, 2.\nAnswer: -5, -2\/39, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 4.03. What is the closest to 0.1 in 0.31, -5, y?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2 + 7*i - 1. Let v(b) = 6*b**2 - 8*b + 1. Let w(m) = -6*q(m) - 5*v(m). What is the tens digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334080337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515063294.\nAnswer: 2, 257531647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0419 - -1.9681. Let u = v + -0.01. Which is the closest to u? (a) -0.2 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 13. Let c(d) = -6*d - 20. Calculate -5*c(x) + 8*z(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -30, -125, -310, -615, -1070, -1705?\n\"Answer: -5*d**3 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*q + 1540 = 60*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w. Let p(x) = -20*x**3 - 16*x. Let d(v) = p(v) - 4*y(v). What is the second derivative of d(h) wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 112*t**2 + 10*t - 5. Let w(v) = 57*v**2 + 4*v - 2. Let s(c) = 2*i(c) - 5*w(c). Let m(p) = -5*p. What is m(s(o))?\nAnswer: 305*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -16. Suppose 0*d + 22 = v + 2*d, -v + 42 = -o*d. Suppose 6*y = y + 2*l + 79, l + v = 2*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -1 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -4, -2 in descending order.\nAnswer: 7, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**7\/s*s*(s\/s**(2\/31))\/s)**(-30)*(s\/(s*s**(1\/11)))\/(s*s\/s**(6\/11)*s)*s*((s*s**(-3\/5))\/s*s)\/s*s*s*s**(-5\/4)*s*s assuming s is positive.\nAnswer: s**(-1824077\/6820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4116*t - 1033*t**2 + 12200*t + 3052*t**2 - 7304*t**2 + 6482*t wrt t?\nAnswer: -10570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -2 in ascending order.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-2 - (-4 - -52))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - m**2 + 4*m**2)*((-4 - 5 + 0)*(3*m**3 + 2*m**3 - 4*m**3) + 11*m**3 - 13 + 13).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -89*t**2 + 780 + 5*t**3 + 100 - 360*t + 104*t**2 = 0. What is t?\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**3\/3 - 49*g**2\/2 - 19*g - 7257. Determine c(-21).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365147763.09 take away -0.05?\nAnswer: -365147763.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -70470 rounded to the nearest 1000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from fjfffjfff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*s**2 - 1157*c*s - 3*c - 116*s**2 + 45*s wrt c.\nAnswer: 2*s**2 - 1157*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12920294 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 760, 763, 766, 769, 772, 775?\n\"Answer: 3*r + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4222717, -4222735, -4222773, -4222837, -4222933, -4223067, -4223245, -4223473?\n\"Answer: -z**3 - 4*z**2 + z - 4222713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/264*(-16 + 20))\/((-2)\/8). Let a be (-6)\/(-4)*(-89)\/(-9). Let v = 15 - a. What is the second smallest value in 5, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 - ((0 - 1) + 2). Let l be 2\/6 + g\/(-6). Suppose 28 - 2 = 4*v - 2*k, 4*k = -v + l. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 3734092*b**2 + 871463324480*b - 871467058576.\nAnswer: 4*(b - 1)*(b + 466762)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -32. Let r = -2 - -33. Let u = 45 - r. What is the smallest common multiple of m and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-15)\/(-6) - 2). Let p = 2 + f. Suppose -h + 11 = -5*i, 2*i + 20 = -p*h + 3*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*m - 233995 + 233975, 0 = -2*l - 4*m - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(4\/6)\/((-30)\/18). Which is the second smallest value? (a) -6 (b) -3 (c) f (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 + 0 = 0. Let k = 2 - 0. Let m be (-2 + (3 - k))*1. Sort t, m, -3 in descending order.\nAnswer: m, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2865 and -11\/2292.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17039 times -8.3?\nAnswer: 141423.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 10*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from iieeeiiiiii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 167459610 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-9) - (-26)\/(-3). Let l(w) = -2*w - 14. Let i be l(d). Calculate the remainder when 142\/i + (-3)\/(-2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28295059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 9. Let i(r) = -r**2 + 10*r. Let y be i(10). Solve -l + 3*l + g = y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*v**6 - 152548*v**5 + 42*v**2 + 483160*v wrt v?\nAnswer: -24360*v**3 - 9152880*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -414606 (base 7) in base 11?\nAnswer: -4962a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296932.\nAnswer: 2, 19, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 7*g + 6. Let p be r(-6). Suppose -b = -p - 3. Solve -5*l = -12 - b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22065759, 22065769, 22065779, 22065789, 22065799, 22065809?\n\"Answer: 10*m + 22065749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/3370 and 57\/4268?\nAnswer: 7191580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6395880160 to the power of 1\/3, to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-114 - (0 - (7 + 13))) + 27\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -335 - -323 - (1 - 18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20 + (-51)\/(-360)*-2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 114, 379, 814, 1413, 2170, 3079?\n\"Answer: -q**3 + 91*q**2 - q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**3 - 3*z**3 + 240761*z**4 - 3*z - 240759*z**4 in the form o*z**2 + c*z**3 + x*z + y*z**4 + s and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764, -759, -752, -743?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1 + 0 + (sqrt(162) + 1)*4)**2 - (2*sqrt(14)*-1)\/(sqrt(28)*2).\nAnswer: 901*sqrt(2)\/2 + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1015621 - 250?\nAnswer: -1016201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 3*q**2 + 2*q - 4. Let d be h(3). Let p = 6 - d. Suppose -5*m + 4*b = -82, b - 48 = -3*m + p*b. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 4*n - 4. Suppose 0 = 6*h - 2*h + 8. Let d be f(h). Let -6*x**4 - 20*x + 2 + 2*x**5 + d*x**5 + 4*x**2 + 4*x**3 + 14*x = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212294958 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 773161110 divided by -5\nAnswer: -154632222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453406 is divided by 226302?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39270 and 1045?\nAnswer: 746130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 4*s**2 + s + 2. Let g be y(2). Let k be ((-3)\/g)\/((-1)\/368). Calculate the common denominator of (-2)\/1 - k\/80 and -63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23759865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 15 + 1)*(-10*z + 2*z - 2*z) to the form k + m*z and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 410*k**2 + 8*k - 4. Let s(g) = 409*g**2 + 6*g - 3. What is 4*s(p) - 3*y(p)?\nAnswer: 406*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o - 22. Let r be q(-10). Let s be 18820\/r - (-8)\/(-4). Let j = 190 - s. Is 1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -2.3?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(128))**2 + sqrt(2) + (sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2) + 0.\nAnswer: 50*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 876 = -2*b, 3*b + 2*w = w + 1324. Suppose 3*x + 5*z + 446 + 238 = 0, b = -2*x + z. What is x rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9392777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -228cb + -19?\nAnswer: -22917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23023210 - -1?\nAnswer: -23023203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/5)*h*h**(-7))\/((h**(1\/2)*h)\/h*h**(1\/14)) assuming h is positive.\nAnswer: h**(-202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*v**3 + 408566*v**2 + 1545627876*v + 114488712.\nAnswer: (v + 7566)**2*(27*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:47 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(121) + sqrt(121)))\/(sqrt(11) + (sqrt(11) - ((4*sqrt(396) - sqrt(396)) + sqrt(396) - sqrt(11)))).\nAnswer: 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6484211 divided by -15\nAnswer: -6484211\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15066 divided by 15066?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h + 2*h)*(69*h + 99*h - 39*h) in the form t + k*h**2 + p*h and give k.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -6. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 10033 = 362543. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - -10. Suppose 5*y - z - 102 = -h, 5*y + 5*h = 150. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(2 - (-10)\/(-6)). Let w = b - 4. Suppose -23 = -w*r + 42. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64720, -130154, -196318, -263212, -330836, -399190, -468274?\nAnswer: -538088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -92. Let z = u - 41. Suppose -160 = -2*r + 4*f, -3*f = -z + 24. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5510 + -6022. Put v, -2, -8 in descending order.\nAnswer: -2, -8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-165)\/25 - -5)*-15. Let u be 2\/(-5) - f\/(-40). What is the third smallest value in -1, u, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*16\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 481 - 482. Suppose 3*l + 3*o = -19 + 4, -l - 3*o = -1. Let q = l - -6. Which is the nearest to p? (a) -0.4 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:28 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28690 and 37.63.\nAnswer: -28652.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121 (base 3) in base 8?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.17, -2321, -22?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -3 - 0\/1. What is the remainder when 110\/3 - n\/6 is divided by ((-41)\/(-123))\/(23\/1311)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -23041114\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46842 + -46842.0073774. Round o to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 24*n = -2*q + 608, 5*q - 1552 = -2*n. Let g = q + -262. Does 50 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 + f - 5. Let x be g(6). Let q(m) = -m**3 + 10*m**2 - 9. Let z be q(10). Let c be 8\/(-68) - z\/(-153). Is c < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674432 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 11*a**2 + 8*a + 4. Is 22 a factor of c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imwiwiwwwimmww. Give prob of sequence ii.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + z + 30. Let s = 72 - 72. Let v be r(s). Suppose 4*i = -6 + v. What is the greatest common factor of i and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9416, -37765, -85012, -151157?\nAnswer: -236200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12367\/21 or -588?\nAnswer: -12367\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2886785, -2886782, -2886781, -2886782, -2886785, -2886790?\n\"Answer: -b**2 + 6*b - 2886790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1878\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101132 - -3011?\nAnswer: 110203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -28. Let j(g) = 0*g + 14*g**2 + 2*g**3 + 2*g - b*g**3 + g. Let c(o) = 5*o**3 - 7*o**2 - o. Let h(u) = 7*c(u) + 3*j(u). Factor h(t).\nAnswer: t*(t - 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715429053?\nAnswer: 3, 23, 239, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.2 or -774190?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -32 - (0 + -9 + -3)) + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/100 + 81*q**4\/40 - 261*q**3\/5 + 2655*q**2. Factor n(m).\nAnswer: 3*(m - 6)*(m + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from vsjjddttjddjjv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*j + 1535*j - 513*j - 511*j - 88*j**3 - 1.\nAnswer: -88*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**12\/g)\/(g\/(g*g*g**(-1\/5)*g)))\/((g*g\/(((g*g**(1\/4))\/g)\/g*g)*g)\/g*((g*g*g**(-3))\/g)\/g) assuming g is positive.\nAnswer: g**(301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 40. Suppose -y = -v - 6. Is 9 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 {q: 1, e: 2, a: 1, z: 2, f: 1}. What is prob of sequence qae?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -31065289 at least -31065289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44737859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1719707 divided by 1719707.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 - 63. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k - 75. Let y be l(5). Let p(q) be the first derivative of -7 + 0*q**2 + y*q + 2\/3*q**3. Let o(w) = -12*w. Give p(o(z)).\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*b**3 + 105*b**3 - 123 - 230*b**3 + 123.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 29478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -23 + -14 - (-38 + 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -2*q**5\/65 + 3*q**4\/26 + 4*q**3\/39 - 12*q**2\/13 + 16*q\/13 + 11. Find j such that n(j) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - 9. Let z = -25.344 - -0.564. Let h = z - r. What is h rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/32)\/(68\/657696*93)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erzrrrqrrqerrz. Give prob of picking 4 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 - -1bf967?\nAnswer: 1bf8fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 344*o - 4*o**2 - 345*o + 4*o**2 - 44*o**5 - 4 wrt o.\nAnswer: -880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -93?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.37712264 to 4 dps.\nAnswer: 3.3771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 3*u + 4, 4 = 4*x - 4*u. Let g(z) = -1 - 2*z + 4*z - 3*z. Let p(i) = 2*i + 4. Let q = 0 - -3. Calculate q*g(j) + x*p(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/7 + 1885*d**4\/7 - 1259*d**3\/7 - 629*d**2\/7 = 0 for d.\nAnswer: -629, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 + 0*y**4 - 3*y**4 + (-1020 + 18*y + 1020)*(3423*y**2 + 17*y**3 - 3423*y**2).\nAnswer: 308*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*x**2 + 104*x**2 + 132*x**2.\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -3*k - 5*u + 2161, 5*u - 2902 = -4*k. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2697 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 5? (a) -3 (b) 0.7 (c) -70 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k + 42*k - 7272. Suppose 377*s - 378*s + k = 0. Is s a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 3566, -0.3, 4, 23\/3 in decreasing order.\nAnswer: 3566, 23\/3, 4, -0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -6. Let s = n + 22. Which is the closest to -1? (a) -0.5 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195525.7 minutes to milliseconds.\nAnswer: 11731542000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**6\/6 - 17*h**5\/2 - 45*h**4 - 275*h**3\/3 - 185*h**2\/2 + 2093*h. Factor f(t).\nAnswer: 5*(t - 37)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 205\/429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 10*g**2 + 13*g + 4. Let y be l(-7). Let h = 3 - 1. Suppose 14*t - y = h*t. Solve 0*x = t*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -329*q**3. Let l = 2 + -3. Is c(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/20 (b) -1\/5 (c) -1 (d) -2 (e) -4 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.35717 meters to centimeters.\nAnswer: 4535.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -8 - (-2 + 5). Let z(o) = o**2 + 10*o + 8. Let a be z(-11). Suppose -r*c = -25 - a. Solve -12 = -3*u, 2*n + 3*n - 3*u = -c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29980927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**3*x**2 + 781*w**3*x + 16*w**3 - 1872*w**2*x**2 + 2*w**2*x - 2*w**2 + 97*w*x**2 - 13*w*x wrt x?\nAnswer: -10*w**3 - 3744*w**2 + 194*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -126, -177, -218?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 557\/5. Which is the third biggest value? (a) l (b) -3\/4 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 104*x**2 + 768*x + 1152.\nAnswer: 4*(x + 2)*(x + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13233819.3 rounded to the nearest one thousand?\nAnswer: -13234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4\/3 (c) -0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + j**4 + 3*j**2 + 4*j + 151 - 149 - 4*j**2 - 2*j**3 in the form b*j**3 + p*j**4 + v*j + a + n*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - 16*i**2 + 4*i**2)*(-2 + 8 + 11)*(i**2 - i + 4*i - 4*i).\nAnswer: -204*i**4 + 238*i**3 - 34*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8631665 months in decades?\nAnswer: 0.0155263875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3)*(4 - 11\/2). Suppose -5*k + 1084 = -u, 0 = -w*k + 3*u + u + 647. Let c be (-3)\/7 - k\/(-49). Solve -5*m + c = -11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 8.5. Let s = z + 7.8. Sort -1\/11, s, 0.4 in decreasing order.\nAnswer: 0.4, -1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44389969*r**3 - 88242862*r**2.\nAnswer: 266339814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.8919693 to 2 decimal places.\nAnswer: -41.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - o - 2716 = -2*j - 2712, 2*j = -7*o - 28 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 153*l**2 - 7*l + 7. Let y be i(-4). Let f = y + -64499\/26. What is the common denominator of -1 + 55\/(-6) + 0 and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48a3a (base 13) to base 12\nAnswer: 6535b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626, 1251, 1874, 2495, 3114, 3731, 4346?\nAnswer: 4959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*m + 5*m + m)*(3 - 2 - 3) - 1 + 1 - 2*m)*(0*m - 3 + m + 1) as i*m**2 + s + y*m and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5538 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -6.97. Let t = l + 4. Let a = -6 + 4. What is the nearest to 1 in 1\/7, t, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, v: 1, y: 1, x: 1}. What is prob of sequence ym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 9*p - 28*p + 645 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2*r**5\/5 - 419*r**3\/3 - 23*r**2 - 3*r - 233. What is the second derivative of p(v) wrt v?\nAnswer: -24*v**2 - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t**3 + t**2 + 6*t + 19. Let f be g(-3). Let v = f - -705. What is the remainder when v is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose n*q + 10 = 76. Suppose -z - 111 = -q. Round z to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.05 + 1002.\nAnswer: 1015.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 + -4.44. Which is smaller: 0.17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(931) + (2*sqrt(931))**2*3) + 2*1*(1 + (sqrt(19)*-2)**2).\nAnswer: 21*sqrt(19) + 33670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -70) + 18 + (21 - 59)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14777 (b) 2 (c) -1 (d) 5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 43332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*d = 0, -5*d = -5*z - d. Suppose -c - 2*c + 24 = z. Let s = c - 4. Is s > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.5 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 - 207. Solve 2*r**3 + 8*r**3 + k*r**4 + 13*r**4 + 261*r - 20*r**2 + 5*r**5 - 276*r = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 132*y**2 + 21*y - 90. Is 2 a factor of h(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**3\/3 + 16*z - 194. Let k(b) = -b**2 - 5*b + 5. Let p(w) = w - 1. Let f(m) = 2*k(m) + 10*p(m). Calculate f(y(s)).\nAnswer: -2*s**4 + 64*s**2 - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/9, -103\/2, 0.1, -241, 5 in ascending order.\nAnswer: -241, -103\/2, -4\/9, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -1780, -2644, -3552, -4510, -5524?\nAnswer: -6600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160411764.\nAnswer: 2, 3, 13367647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = -q - 912. Calculate the lowest common multiple of 204 and q.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/(168\/7)*24\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 * 0.37902.\nAnswer: -1.250766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 8*d)*(6 - 2 - 3)*(-12 - 2 + 3).\nAnswer: -88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*q - 2*y - 113 - 144 + 37, -26*y + 28*y + 74 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4*v - 65*q**3*v**2 + 996*q**2*v**2 - 2*v**2 wrt q.\nAnswer: -24*q*v - 390*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30\/17 in 6.12, 12, 1\/4, -1\/4, 2\/15, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4490339077?\nAnswer: 7, 2551, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 68 = 41*h. What is the second smallest value in h, 0.046, 4?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 4*i + 154. Let t = -35 + i. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 + 3414*x**2 - 490182*x + 18415474 = 0. Calculate x.\nAnswer: 77, 1553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose j = 3*l - 9. Suppose 0 = -0*h + l*h - 32. What is the lowest common multiple of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1975907 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 10. Let w be x(6). Suppose 15 = -5*l + 5*i, l = -w*l - i + 3. Calculate the common denominator of 43\/7 and 15*((-16)\/(-132) + l).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10862, -10859, -10858, -10859, -10862?\n\"Answer: -h**2 + 6*h - 10867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -26*d + 62. Solve -h - d = -5*y + h, 5*y = -4*h + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.5. Let h = 2379 + -2375. What is the third smallest value in -5, h, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00913071228 to 7 decimal places.\nAnswer: -0.0091307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2775 - -2780. What is the biggest value in m, -3, -3\/2, -5\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2300*d**2 - 757*d**2 - 19969*d**2 as q + g*d + n*d**2 and give n.\nAnswer: -23026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 1. Let j be t(-3). Let n(w) = -w**2 - 5*w - 1. Let m be n(-6). Let q = j - m. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(7\/3)*h**(-7)*h**(-1\/9)*h**2\/h assuming h is positive.\nAnswer: h**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/6, 0.1, 79\/3.\nAnswer: -1\/5, -1\/6, 0.1, 79\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6784\/5960 - (-2)\/(-5). Let p be (-1)\/5 - 322145\/89400. Let o = p - b. What is the common denominator of o and 41\/14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2452335 and -49\/9027.\nAnswer: 7357005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 54*i + 334. Calculate y(47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3339, 3332, 3321, 3306, 3287, 3264, 3237?\nAnswer: 3206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37416322 (base 8) in base 11?\nAnswer: 4735609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 4. Let w be d(5). Let z(n) = -48*n. Does 24 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 2. Let l(i) = 15*i - 5. Let v(y) = 10*h(y) - 3*l(y). Let w = 12 + -6. Is v(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32540 and -0.2821.\nAnswer: 9179.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:33 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from iioshhhohhhhiisshhh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**3 - 615508*m**2 + 333249120*m - 45027997200 = 0.\nAnswer: -154417, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-16000)\/(-280) - 54).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 4. Suppose -19*l = 2*l + 436 - 520. Solve -3*x - 12 - 1 = -q, -l*q + f*x = -22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977763781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*g = -33, -10 = -u + 6*u + 2*g. Let b be -1*((-4)\/(-2) + u). Differentiate b - x - 6*x - 10 wrt x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 + 6 = 0. Let y be g\/((-616)\/(-10)) + (-6)\/14. What is the biggest value in 0.5, y, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.212944600974 + 0.14.\nAnswer: 7.352944600974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 2\/5, -1467\/8, -33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -96359377623 minus 1.1?\nAnswer: -96359377624.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 17826727?\nAnswer: -17826686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197796 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5)*(1 + 0). Let r = 0.301 + 31.499. Let g = r - 32. Put t, 4, g in descending order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nse when three letters picked without replacement from {l: 1, e: 2, n: 3, k: 4, s: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t. Let z be w(1). Let c(u) = z*u**2 + 2*u + 0*u**3 - 3*u**3 + 4*u**3 + 3. What is the units digit of c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9938*y**2 + 13*y + 32*y**4 + 9938*y**2 wrt y?\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from yhiuuihuhhuuhuhhhuwh.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123320 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 1\/4 (d) -3 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 8*h + 23. What is p(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1434, -9, 3, 0, 5, 2 in increasing order.\nAnswer: -1434, -9, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2168 divided by -1\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3676, 7451, 11226, 15001?\n\"Answer: 3775*h - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000091803 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 2. Let b be z(0). Let r = 4 + b. Suppose -r*j + 5*j = 6. Solve -g + 5*o + 2 = -j, 5*o + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 0.1 (d) -80 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189*h**4 + 11*h**3 - 3*h**2 - 9869956*h wrt h.\nAnswer: -2268*h**2 + 66*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2559023\nAnswer: 10236092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 40*z**4 - 7073*z + 7*z**4 + 7071*z + 3*z**2 + 1 to q*z**4 + w + i*z**2 + m*z**3 + l*z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17\/(-22 - -5))\/(2\/(-2018)).\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 divided by 498?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22600 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11001*h + 188 wrt h?\nAnswer: -11001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -116*o**5 + 66*o**2 + 150*o**5 - 134 + 31*o**2. Find the second derivative of k(p) wrt p.\nAnswer: 2040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.821 - 4157914509.\nAnswer: -4157914509.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, b: 12}. What is prob of picking 3 p and 1 b?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3 = 3*r, 11 - 40 = -3*u - 5*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 50.65. Let w = k - 2.35. Which is smaller: 9\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d**2 + 196*d - 70. Let b(v) = v**2 - v - 3. Let n be b(-2). Let p(z) = -6*z**2 + 99*z - 36. Let t(y) = n*f(y) - 5*p(y). Factor t(r).\nAnswer: -3*(r - 10)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -l + 161, 3*l = -3 + 6. Find the common denominator of -28\/9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7266 - -7266.1. Put j, -5, 5\/11, -1\/3 in ascending order.\nAnswer: -5, -1\/3, j, 5\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 96*s + 3\/2*s**2 = 0. What is s?\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -4)*62\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 6*r + 2. Let f(i) be the third derivative of i**5\/15 + i**4\/24 + 2*i**3\/3 - 2*i**2 - i. Let x be f(0). Give c(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 1 + 35*o**3 + 53*o**3 + 2 + 0*o as f + z*o**2 + j*o**3 + m*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.3008433 rounded to 3 decimal places?\nAnswer: 83.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -15.4. Which is the third biggest value? (a) y (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 425631.\nAnswer: 1\/141877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1329108 - 479350 = 73*h - 27*h. What are the prime factors of h?\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 12. Suppose 2*t + d*k - 9 = -3, -37 = 5*t - 3*k. Let q = 0 - t. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r + 8. Let n(d) = 11*d + 9. Give 6*n(z) - 7*w(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -246 and 17397871426.\nAnswer: 17397871180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(735\/(-322))*147\/(-42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -43, -0.1, 1\/5, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**2 - 53*g**2 + 3*g**2 - 24*g**6 - g + 38*g**6 wrt g.\nAnswer: 1680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229784245 or -229784246?\nAnswer: -229784245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5) + 3 + (1 + sqrt(13) + 5)**2.\nAnswer: 13*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/11765 and -31\/884?\nAnswer: 800020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n + 5. Suppose -29 = n*x - 6*x. Let w = -13 - x. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18339670 rounded to the nearest 100000?\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 861\/(-188559) - (-84968)\/(-876).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 33, -11, -83, -189, -335?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**4 + 978*r**3 - r**2 - 4138*r. Let t(q) = -q**5 - q**4 - q**3 + q**2 + q. Let o(a) = -p(a) - 2*t(a). What is the second derivative of o(v) wrt v?\nAnswer: 40*v**3 - 5856*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -351049.4715 to the nearest 10.\nAnswer: -351050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 3. Let t(r) = -r - 3. Let q(m) = 5*s(m) + 6*t(m). Let h be q(-3). Solve i = -h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3614631?\nAnswer: 3, 31, 38867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.069.\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 771*f**2*o**2*w - 5952*f**2*o**2 - 3*f**2*o*w - f*w wrt w?\nAnswer: 771*f**2*o**2 - 3*f**2*o - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -198640340 to the nearest 1000000.\nAnswer: -199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -779 and -3.\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*l**2*u - c*l**2 + 8*c*l + 38*c*u + c + 258*l**2 + 27*l*u**2 wrt u?\nAnswer: -3*c*l**2 + 38*c + 54*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 0.37. Let p(h) = 76*h - 7. Let g be p(-5). Let y = g + 1929\/5. What is the closest to -3 in -0.4, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197757 + 197799.0074. Let m = -1039 - -997. Let a = t + m. What is a rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/(-84)*(-6)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7a417 (base 12) to base 4\nAnswer: 213303103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -l + 10, 2*l + 0 = s + 5. Suppose 5 = -s*i + 40. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 448*c**2 + 6 + 460*c**2 + 451*c**2 - 1369*c**2 + 15*c to u*c + f + z*c**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 614 and 5672?\nAnswer: 1741304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-14) + 2)*(104 - 90). Solve -5 = -f + a*z, 5*f - 4 = -0*f - z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3131255 (base 6) in base 5?\nAnswer: -14330310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/(-24) + (2\/(-8))\/(-1). Suppose -3*h + 0*h - b = 0. Let f(x) = 8*x**2 - 1. Determine f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1044.\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 32. Let q be i(0). Suppose -7*t + 4*t = 3*d - 30, q = 2*d - 2*t. Suppose 85 = 12*u + d. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let h be (0 - 1)\/(q + 0). Let t = -1\/4 - -3\/4. Which is the nearest to h? (a) 0 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let x(j) = -j**2 - 11*j - 11. Let o be x(-10). Let z be n(o). Suppose z = -2*l + 6 - 2. Solve 2*p = -8 + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -426.\nAnswer: -1\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*q + 414*q - 97*q + 269*q.\nAnswer: 710*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:54 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -79*i + 259. Suppose -12 = 2*f + 2*n + 22, 2*f - 4*n + 4 = 0. List the prime factors of y(f).\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*v + 704*v + 640*v + 290362 = -1516*v for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 7. Let j(c) = c - 1. Let z(g) = 6*j(g) - p(g). Let x be z(-2). Let s = 0 + 1. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - r + 44 = 0. Suppose 2*z + r*m - 754 = 0, -4*z + 1502 = -m + 3*m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 1. Let l(v) = -3*v**2 + v - 4. Let z(u) = -l(u) + 4*q(u). Suppose 2*j - 4 + 2 = 0. Let f be (0 - 0)\/(1 + j). Determine z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -571 by -468.\nAnswer: 571\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -2682028\nAnswer: 21\/2682028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(117)\/(sqrt(27)\/sqrt(3)))**2 + -2)*-4 - ((-1 + (sqrt(325) - sqrt(325)*-1))**2 - -2*(sqrt(325)*2)**2)) + 0.\nAnswer: -3945 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrur when four letters picked without replacement from {a: 1, e: 1, u: 3, n: 1, r: 4, v: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k - 13. What are the prime factors of l(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -345\/13, 0.5, -0.3.\nAnswer: -345\/13, -1, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + -5?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 995\/149006 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-1 - 0)\/1). Let n = c - -1. Let i(a) = 267 + 6*a - 6*a - 13*a - 6*a + 270 - 538. Determine i(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/98*-7*35\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*12\/9. Suppose 0 = 4*n + 4*c + 4, s + 6 = -4*c. What is the tens digit of (n\/(-2))\/((-9)\/324)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1960485171 to the nearest integer?\nAnswer: 44277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 7, y: 1, l: 3, m: 1}. Give prob of picking 1 m, 2 z, and 1 l.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16167911 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 divided by 2?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 + 274 + 78)*(-5*o + 9*o + 7*o).\nAnswer: 1639*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 50*r + 76. Determine k(23).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1075724?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63683*k**2 + 356*k**3 - 3 - 63683*k**2 to the form y*k + f*k**2 + u*k**3 + p and give u.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 18*z - 491. Let j(r) = 11*r - 329. Give 5*f(l) - 8*j(l).\nAnswer: 2*l + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/239 (b) 3\/5 (c) -10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from xxgxgjgpxx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3728104 - 1?\nAnswer: 3728103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 + 14*k - 1. Let y be 2 - (-1*9)\/((-12)\/(-8)). What is the hundreds digit of w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150142*j + 4158 = 150241*j for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 230203 (base 4) to base 2\nAnswer: 101100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 20, -6, 116 in decreasing order.\nAnswer: 116, 20, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -151. Let v = 0.4 + -2.4. Is p greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 7215.\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:29 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 51 - 2*j - 55.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113715, 227431, 341147, 454863?\n\"Answer: 113716*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*2*sqrt(95))\/(sqrt(10)\/(sqrt(128)*-2))*-4.\nAnswer: 1536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-9 + 31) - (-9 - (-5 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) 2 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*r - 20 = 0, 69*r - 134*r + 68*r = 15*z + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*x + 47, 2*p + 51*x - 21 = 52*x. Solve -p = 2*k - 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = 3*n, 25 = 4*n - 4*c + 9. Let q = n - -1. List the prime factors of q - (-6 + 2\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2435*u + 1921218. Give d(-789).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + x + 15. Let r = -6 + x. Let h(t) = -t**2 - 4*t - 4. What is h(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 6 - 24. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32\/39 - 2\/13. Let l = -1406\/13 + 108. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.61 and 3?\nAnswer: 4.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5593\/102)\/(-47)*12\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60991 + -60992. Suppose 3*j = -4 + 7. Put 3, z, -4, j in descending order.\nAnswer: 3, j, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((29 - 37) + 10 - -28) + -20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12 - 4 + 8*w**2 - 8. Let l(s) = 2*s. What is x(l(z))?\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 203941677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5008008?\nAnswer: 2, 3, 208667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010393 is divided by 4374?\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40163812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49311651553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**4 - 5*g**4 + 3*g**4 + (-185 - 227 - 126)*(-2*g**4 + 2*g**4 - g**4) + 0*g**4 - g**4 + 3*g**4.\nAnswer: 531*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -49. Find the second derivative of -7*a + 104*a**x - 51*a + a - 7*a wrt a.\nAnswer: 1248*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/(1\/(-15)). Suppose -2*g = -n*g + 200. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12194)\/2613*(-2)\/(-6)*(-27)\/(-12)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 6. Let h(b) = 3*b**2 - 15*b - 606. Let t be h(-12). Sort 4, s, -12, t in increasing order.\nAnswer: -12, s, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -230\/1263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.059 + -3.059. Which is the closest to -2\/5? (a) 2 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 1, j: 1, k: 4}. Give prob of sequence sj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 79*c - 1743. Let u be p(22). Is u less than -211\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 117*v**2 - 641*v + 38. Let j(s) = 14*s**2 - 71*s + 4. What is -19*j(o) + 2*y(o)?\nAnswer: -32*o**2 + 67*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/6 + t**3\/6 + 4*t**2 - 14*t. What is the remainder when 53 is divided by y(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**6 - 3*h**5 - 11736 + 11735 - h**6 - 31*h**2 wrt h.\nAnswer: -480*h**3 - 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 - 215*h**3 + 14*h**2.\nAnswer: -215*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 = 662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, 1868, -331 in descending order.\nAnswer: 1868, 4, 3, -2, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -448 - -701. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, 17, -1\/184, 5, -200?\nAnswer: -1\/184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3.5. Let x = -20 + 19. Let d = 0.08 - -3.92. Sort d, p, x in decreasing order.\nAnswer: d, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3801 (b) 137 (c) -0.2 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 59304?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/103 or 1\/2?\nAnswer: -3\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 + 3*g + 4. Let h(d) = -10*d**2 + 4*d + 5. Calculate -6*h(i) + 7*v(i).\nAnswer: -3*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (605913\/(-602))\/((-66)\/4)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2040 and 930?\nAnswer: 63240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:49 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97640251 to the nearest integer?\nAnswer: 9881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-13 - 4 - -27 - 35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1739*n + 54. Let q(k) = 579*k + 19. Determine -17*q(l) + 6*x(l).\nAnswer: 591*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/12 - k**3 - k**2\/2 - 3*k. Let p be b(-5). Let u be (-2)\/9 - (-120)\/p. Solve 5*n = 7 - u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a + 8*a + 12*a**2 - 4*a**2. Let l be z(-3). Let p = 4 + l. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**2*s*u - k**2*s + 4*k**2*u + 15*k*s*u**2 - 106*k*u**2 wrt s.\nAnswer: -8*k**2*u - k**2 + 15*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 2, u: 2, d: 7}. Give prob of picking 2 u and 2 o.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 22 = 2*w + 5*q, -5*w + 3*q - 3 = 0. What is the second smallest value in w, -2\/7, -5, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*18*(-2)\/6. Suppose -2*o + x*o = 168. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6.16, 1\/7 in increasing order.\nAnswer: -6.16, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/3))\/q)**(-21))**(3\/10)\/(q**6*q**(1\/9)*q)**(-28) assuming q is positive.\nAnswer: q**(9149\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44296\/25 + 547653\/50. Let f = 28653 + -41366. Let o = j + f. Calculate the common denominator of 23\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-311)\/(-622))\/((-1)\/(-2)))\/(1\/(-31))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-35))\/(6\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/7))**(2\/77))**17 assuming r is positive.\nAnswer: r**(136\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14275740721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15755 divided by -3151?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at most as big as 89\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/8784 and 131\/5718384.\nAnswer: 5718384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.555 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 1128 = -123*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/31)\/((-14)\/((-336)\/24))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 12*f**2 + 23*f + 18. Calculate the common denominator of p(10) and 1\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -11023301033?\nAnswer: -11023301103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 5*l - 10*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m + 26*m - 53*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 17280 = -8*z. Is z a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318601\/57420 + 4\/2871. Find the common denominator of -52\/345 and z.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 8. Let o(a) = 3*a - 14. Let c be o(7). Let n(t) = -t + 9*t**2 + 9*t**2 - 17*t**2 - 4*t - c. Give n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(3388))\/sqrt(2))\/((sqrt(2) - 4*sqrt(18))*-2))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w + 1. Let i be z(-2). Let c(j) = j**2 + j + 2. Let d(l) = -3*l**2 - 3*l - 5. Let n(k) = i*c(k) - 2*d(k). Factor n(f).\nAnswer: f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -70*f - 15*f**2 + 0 - 40\/3*f**3. Differentiate c(m) with respect to m.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 537, -2139, -6719, -13203, -21591, -31883, -44079?\n\"Answer: -952*w**2 + 180*w + 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 15*h + 32. What is the hundreds digit of v(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 13*a + 17. Let u be n(-14). Suppose 2 = -4*k + 10. Let p(x) = -x**k - 2*x**3 + 0*x - 3*x**3 - x - x**u. Determine p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:18 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 3 - 2)*(-p**2 + 3*p**2 - 3*p**2).\nAnswer: -46*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.48 - -0.58. What is the second biggest value in -0.2, 4, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5 - 150*a**4 - 774*a**3 + 27096*a**2 - 110391*a + 121086 = 0.\nAnswer: -31, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 + d**4\/8 - d**3\/3 - 111*d**2 + d. Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 549200 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 191 = -576. Suppose k*w = 74*w + 573. What is the remainder when w is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*z + 70 - 70 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 + 6*z - 2\/3*z**3 - 2*z**2. What is the derivative of m(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146681\/19 >= -7721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/14)\/(p\/p**11)*p**(-3)\/(p*p**(-2\/5)))**26 assuming p is positive.\nAnswer: p**(5889\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = 4*i + 2, 4*u - i = 13. Let t(j) = j**2 - 3*j + 5. Let p be t(u). Let r = p - -9. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.017 - 57.517. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 14*l**2 + 23*l + 10. What is d(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 26) + (2 - -14) - -148.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 111947*m - 111945*m + 4, 5*u + 6*m = m + 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-2*1\/4). Let y be 1 + ((-4)\/x - 1192\/840). Is 3\/7 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 27*m + 128. Let z be o(-21). Suppose 0 = -2*w + 4*a + 35578, 3*w - z*a = -4*a + 53391. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3609180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720) - sqrt(720) - 5*sqrt(80)\/sqrt(4))\/((sqrt(8)*-2)\/sqrt(2) - sqrt(16)*2)*-6 + 3.\nAnswer: -5*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518468272 is divided by 1294.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 3, -7, -93, -40 in ascending order.\nAnswer: -93, -40, -7, 2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011011011001001101101 - 101?\nAnswer: 10011011011001001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 + 195\/(-21))*3\/(-6))\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.45 + 526.\nAnswer: 525.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjjv when four letters picked without replacement from jpvvjk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 90*v + 183. Give m(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l + 203 = -49. Let q(t) = 2*t**3 - 4*t**2 + 3*t - 2. Calculate the smallest common multiple of q(2) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.9 + 27. Let w = -0.9 - u. What is the second biggest value in 2, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*f - 0*f + 24, 12 = 2*j + 4*f. Let o be -5*2\/(-4)*-2. Let r = o - j. Which is bigger: 2\/7 or r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 356*k + 1453. Calculate j(-4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31540\/7 + 9210261\/2044. Calculate the common denominator of m and -7\/16.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 32*b - 4*r - 40, r = -b + 6. Suppose -3*i - 7 = -28. What is the first derivative of i + b*c + 5*c - 1 - 11 wrt c?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 52. Let m(g) = -44*g**2 - g. Give m(w(v)).\nAnswer: -704*v**2 + 18300*v - 118924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1285, 2602, 3919, 5236, 6553, 7870?\n\"Answer: 1317*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h - 123. Let r be b(-11). What is the second smallest value in -17, -3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 + 4*a**3\/3 + a**2\/2 + 6. Suppose r + 0*r = y + 28, -r - 5*y = -46. Let c = r + -35. Determine u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z**2 - z)*(-3*z**2 + 3*z**2 + 6*z**2)*(-2 + 3*z + 2).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484420 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3362 * 2.\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 - 28660*j - 171964\/3 = 0. What is j?\nAnswer: -2, 85982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/(-32))\/(-5))\/(2*(-12)\/(-4))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 674880 to the nearest 10000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 422456\nAnswer: 63368.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24*g - 479. Let n be d(20). Which is the closest to n? (a) -0.1 (b) -3 (c) 0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 852977844 divided by -3\nAnswer: -284325948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 8*t + 55 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*u**2 - 1644*g**3 - 53*g**2*u**2 + g**2*u + 8*g*u**2 wrt g.\nAnswer: 6*u**2 - 9864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Suppose d + d = 3*g - 10, -3*d - 10 = -2*g. Let u be j(d). Is (u\/1)\/(-2) - -78 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n + 24*n - 135 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -w - 10, -5*w + 1 = 4*t + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.3. Suppose 26*u - 17*u + 45 = 0. Let t = 0.1 + 0.4. What is the nearest to v in t, u, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 8*d - 22*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w. Suppose x = -w*x + 23. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -33. Let f be 3\/(-15) + 5\/m. Suppose 6*a - a + 3*t - 1794 = f, t = -2. Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*(-7)\/42.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18\/11 (b) -0.0207 (c) -283 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8073*h + 21. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 - 3 = -4*z, z = -3*f - 3. Let p = -19 - -19. Let n = -7\/32 + 13\/352. Which is the nearest to p? (a) z (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -0.48. Let z = -0.31 + 0.01. Which is the third biggest value? (a) o (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*k = -8*l - 264*k - 28, -2*k + 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - m - 1015 = 0, 2536 = 7*f - 2*f - 2*m. Solve -f*r - 40 = -498*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 27600*m - 27604 = 0. What is m?\nAnswer: -1, 6901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1417925371 to the nearest integer?\nAnswer: 37655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -17 + (1 - (2 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16884770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -35043, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 138\/(-12) + (-192)\/(-16). Let z be 4 + 4 + 16\/(-2). Which is the closest to z? (a) r (b) -3 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 4*l - 1. Let h be f(-3). Solve -h + 3 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361962259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 12*q - 18. Determine m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1414 and 21412?\nAnswer: 149884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/4 - 49*o**4\/2 - 2929*o**3\/4 - 6595*o**2 - 23564*o - 29584.\nAnswer: -(o + 4)**3*(o + 43)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748 and 789208.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 34417365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-635)\/634 + (-1)\/(-1)). Let b = 30455\/12 + q. Find the common denominator of -139\/108 and b.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318557011, -637114015, -955671019?\nAnswer: -1274228023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/750)\/(232\/(-32) - -7). Let z = o + 764\/2625. Which is the smallest value? (a) -40 (b) -2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k = 5*t + 56*k + 35, -12*k + 14 = -2*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-525))\/(15985\/(-2415)).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2240, 2242, 2242, 2240?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 43 - 33. Sort -2, 5, -5, w in decreasing order.\nAnswer: w, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 45*g**2 - 7*g + 10. Suppose -6*n + 4*u = -n - 14, 2*u = -3*n + 4. Is 21 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 390*u - 21 = -369*u + 3, -12 = -2*v - 3*u for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 99584 = 92692. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*l**3 - 165*l**2 - 171*l - 27.\nAnswer: 3*(l - 1)*(11*l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*z + 2*v + 2579, 5*z + 3*v - 2591 = 0. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 150\/(-14)*-1 + (-2)\/(-7). Let q = z - 11. Suppose -3*k + 36 + 0 = q. Calculate the lowest common multiple of 2 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*39\/65 + 8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*j - 500, 0 = 2*j + j + 4*h - 300. Let r = j + -96. Solve 1 = r*x - 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 5, w: 8, q: 4}. What is prob of picking 2 w and 2 q?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.062 + 0.062. Which is the second biggest value? (a) u (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c = 4*i + 30*c, -4*i - 4*c = 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.7421287 * 0.05\nAnswer: 0.037106435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 53557?\nAnswer: 53554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145345104*x + 2*x**2 + 145345104*x - 2*x**2 - 7*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*v + 1198 + 1051, 0 = 4*m + v - 2997. Let x = m - 501. What are the prime factors of (x\/16)\/(1\/2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 935*g - 2 + 12 - 9.\nAnswer: -935*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-17)*13\/((-78)\/24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - 1*sqrt(304)) + sqrt(304) + 1 + -2.\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 41 = 4*j. Let f be j + 1 + -4 + 4. Solve -3*t + f*t + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262.651 - 263. Round w to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368694627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1506\/2 + 19 + -20. Let x = 47 + y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*y - 98*y + 418 - 6*y**2 + 0*y**2 - 83*y - 418.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 + 279. Let y(d) = 11*d**2 - l*d**2 + 10*d**2. Let z(a) = -4*a. Determine z(y(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*2)\/sqrt(9) - (sqrt(7) - sqrt(28)\/sqrt(4)*6))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87\/2 - 46. Let n = -205\/4 + 52. Let y = -18 - -37\/2. What is the nearest to -0.1 in y, p, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7585 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 3. Let x be w(4). Let n(h) = h**2 + h + 1. Let d be n(-2). Suppose x*p = d*p + 14. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13461, 26970, 40481, 53994, 67509?\n\"Answer: g**2 + 13506*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 15 + 3*s + 0*s**2 + 13\/3*s**3. What is the first derivative of j(o) wrt o?\nAnswer: 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3358 or -2645?\nAnswer: -3358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -10.9 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y + 60. What are the prime factors of (-1037)\/y + (-4)\/30?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -876096 divided by 4?\nAnswer: -219024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.2 (b) 61 (c) 4\/5 (d) -1\/38 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, w: 2, k: 1, t: 1, m: 6}. Give prob of sequence tmw.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -497 - -496.9. Which is smaller: -3.41 or f?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - j. Let i(t) be the second derivative of -t**4\/4 + t**3\/3 + t. Let h be -15*(-98)\/(-280) + 7*(-3)\/12. What is h*r(k) - 4*i(k)?\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 105 + 56. Solve -b = -4*n + r, -n + 4*b = -9 - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26348145 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: What is 166 minutes after 2:53 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100321 + -333?\nAnswer: 66655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746 is divided by 1732.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/28462100 and 31\/14231050.\nAnswer: 28462100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/7 - 1940*m**3 + 11100168*m**2\/7 + 730321920*m\/7 - 214990848 = 0. Calculate m.\nAnswer: -63, 2, 1728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111 (base 2) to base 7.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1447\/9 - 161. Let d = 1.3 + 3.7. Sort i, 9, d in ascending order.\nAnswer: i, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*s**4*u**2 + 10*s**4 + 9645*s**3*u - s**2*u**2 - 9*s**2 - s*u**2 + 762721 wrt s?\nAnswer: -1824*s*u**2 + 240*s + 57870*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-3 + 2)*-1 - (sqrt(240)\/(sqrt(10) - sqrt(360)))\/(sqrt(12)*3*1).\nAnswer: -2 + 541*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 72, 235, 532, 1005, 1696, 2647?\n\"Answer: 7*n**3 + 4*n**2 + 10*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 76*r**2 - 9*r. Let x(c) = 38*c**2 - 5*c. Calculate 6*k(a) - 11*x(a).\nAnswer: 38*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b**2. Let p(g) = -7*g + 13343. Determine p(l(r)).\nAnswer: 84*r**2 + 13343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.801 and 0.4.\nAnswer: 0.3204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = -s + 22, 17 = -s + 4*x. Put s, 0, -3 in ascending order.\nAnswer: -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 34 = 4*q - 12, 3*c = q + 11. Let r(v) = v**2 - 4*v - 2. Let y be r(4). Let p be (y\/(27*c))\/(-1). Is 0 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-32)*10\/((-80)\/6)*2\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/3, -0.5, 11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 13) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -451403 + 416?\nAnswer: -450654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/3146 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -93, -3, 7 in ascending order.\nAnswer: -93, -3, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10500 and 180600?\nAnswer: 903000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + -3)*-2.\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - r + 1. Let m be l(6). Let i = m + 109. Let a = 12 - 18. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + 0.38. Let f = 10 - 8.9. Let v = f + -0.1. Which is the nearest to v? (a) 1\/2 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.0991.\nAnswer: -1.0901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(sqrt(605) + -1))**2 + (sqrt(605) + ((2 + sqrt(605))*-2)**2 - sqrt(605)))*-3.\nAnswer: -27378 - 1386*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 132. Let f = 119 + -44. Let p be 1*(-1 + 3 + f). What is the highest common factor of g and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 6995465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9970861\/162 - 61549. Find the common denominator of r and -143\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 166. Let f be (4 - 14)*r\/6. Suppose 2*j - 2 = -10. Put 7, -1, f, j in ascending order.\nAnswer: f, j, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + 6*q + 4. Let c be a(-7). Differentiate -4*f - 147 + 5*f + 194*f**3 - c*f**3 wrt f.\nAnswer: -39*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 386\/5*(38\/(-4) + 12). Suppose -5*o - 1 = -26. Suppose -5*j = 4*z - j - 140, o*z = j + c. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 + 313*d - 293*d - 156*d + 136*d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.315022 to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 + 16.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13476443*z - 14727800 wrt z.\nAnswer: 13476443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 20632*q**2 + 349516*q - 370152.\nAnswer: 4*(q - 1)*(q + 18)*(q + 5141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25375979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 1432989?\nAnswer: -1432989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226671 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -2*w, -22 = 9*t - 7*t + 2*w. Let a = -3 - t. Put 5, -5, a in decreasing order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235879 and 75838903?\nAnswer: 7609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11949542 to the power of 1\/2, to the nearest integer?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 3. Let k = 11 + -8. Let d be o(k). Suppose d = 2*i + 3*q - 9, 0 = -2*i - 2*i + 3*q + 45. What is the lowest common multiple of i and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9226293 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -60.77 * -0.56\nAnswer: 34.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 h when four letters picked without replacement from xxxxhhhxvvxxnnx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*h + 1114, 5*h - 332 = -2*o - 2206. Let i = h - -362. Let u(l) = l - 1. Let f(s) = 2*s**3 - 12*s + 12. Give i*u(x) - f(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*v = -15, f - 5*v = -2*f - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 6*r + 8. Let b(q) be the first derivative of 2*q**3\/3 + 5*q**2\/2 + 7*q + 256. Give 6*b(g) - 5*k(g).\nAnswer: 7*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 12.006144489?\nAnswer: -14.006144489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837012234?\nAnswer: 2, 3, 179, 779341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 14*x**2 + 35*x - 78. What is h(17)?\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 242 - 62710?\nAnswer: -62446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140408 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from ajiajiiiaaaaai?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -3*y**5\/20 - 3*y**4 + 27*y**3\/2 - 21*y**2 - y + 433. Factor w(s).\nAnswer: -3*(s - 1)**2*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 57146429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*(-5)\/25)\/(1\/15). Let s(l) = l**3 - 6*l**2 + 3*l - 9. Determine s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -373*a*h**5 - 36*a*h**3 + 27*a*h**2 - 5*a*h - a + 1681074 wrt h?\nAnswer: -7460*a*h**3 - 216*a*h + 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -4, 13 in descending order.\nAnswer: 13, 6, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -26 + -2 + (4 - 5) + 6 + -13\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-13*(-3)\/3. Suppose -4*r - 32 + x = 0. Let d(j) = -4*j + 2. Let g(o) = 9*o - 5. Determine r*d(b) + 2*g(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t - 600 = -52*t. Let a be (18090\/t)\/(11\/(-4)). Let o = -55 - a. What is the second smallest value in -0.2, o, -10\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -144, -271, -416, -585, -784, -1019, -1296?\n\"Answer: -t**3 - 108*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114056413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/4 - (-22)\/(-18))*-18. Let k(d) = -3*d**2 + d. Let z be k(i). Let j = 158\/3 + -52. Which is bigger: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -982 + 992. Suppose -q*f = -6*f - 8. Solve 0 + 0*r - 4\/3*r**3 + 0*r**f + 4\/3*r**4 - 1\/3*r**5 = 0 for r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a factor of 59637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 26. Solve 0 = -5*b - 3*c + x, -3*b - 5 + 20 = -2*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6983 = 2*n, -14*z + 13996 = -12*z - n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(1\/(-4)))\/(98\/539)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-2*sqrt(143))\/(sqrt(1584)*1 + -1*sqrt(275) + sqrt(275)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -15. Is (-13)\/o*(-16 - -11) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 14) to base 15.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - 5*i + 3. Let h be l(-5). Let f be h\/(-2) + (-300)\/(-24). Suppose -5*r = -591 + 96. What is the greatest common divisor of r and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(3\/(-9)). What are the prime factors of (-1)\/(g\/(0 - 22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 35223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5217*g = 10321 - 74197 - 118719 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.49 - 13190?\nAnswer: -13173.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:27 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3327058, -13308572, -29944422, -53234602, -83179106, -119777928, -163031062, -212938502?\n\"Answer: g**3 - 3327174*g**2 + g + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1425 + 1430. Let s = 0.4 - -0.1. What is the nearest to 0 in -2, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 36\/16 + (-3)\/12. What is the second derivative of 6*u - 6*u + 12*u**f - 14*u wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 26 = -5*t. Let s(j) = j**2 - 12*j - 3. What are the prime factors of s(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Suppose 0 = 4*l - 7 - 5. Suppose -v = -l*v + 6. Solve -4*m + 14 = -y, v*m + u*y = -m + 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0 + (1 - 6 + 4)*(11 - 1 + 10) + 4 - 1 + 0)*(-16 + 4 + 10 - 13*r + (1 - 3 + 1)*(-3*r + 2*r - r)) in the form y + v*r and give v.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102300 is divided by 1967.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 1. Let y be f(-1). Suppose -6*v + 32 = 8. Let a(g) = -2*g**2 - 19*g - 9. Let k be a(-9). Solve k = v*t + 2*j + 6 + 14, 4*t + 12 = y*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 + 11. Suppose 0 = 3*h + h. List the prime factors of q(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54175525.\nAnswer: 5, 2167021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(875))\/sqrt(180)*-2.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 + 1434*b**4 - 273980*b**3 + 5949816*b**2 + 6225232*b = 0. Calculate b.\nAnswer: -1, 0, 26, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 13.8. Let h = 1.1999997 + c. Round h to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 12*v**2 + 102 - 23.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(3 - 5 + 0)*(c**3 - c**3 + 2*c**3).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*h**4 - 149904*h**3 - 200614380*h**2 + 57330632*h = 0. What is h?\nAnswer: -2677, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 13. Suppose -5*d = -7 - 18. What is the nearest to 0.1 in v, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 29 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*i**3 - 34*i + 7*i + 645*i**3.\nAnswer: 462*i**3 - 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(sqrt(275) + 2 + sqrt(275)*-2 - sqrt(275) - sqrt(275)) + 0 - (-2 + (5*(0 + sqrt(275))**2 - sqrt(275)*-1*-5))).\nAnswer: -1378 + 85*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 - 1. Let i be 2*((-20)\/8)\/1. Let f(j) = 7*j**3 - 5*j**2 + 6. Let h(q) = i*m(q) - f(q). What is the first derivative of h(w) wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187686.456 and -0.5.\nAnswer: -187686.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -16733, 1 in decreasing order.\nAnswer: 50, 1, -16733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*r + 38*r**3 - 681*r - 6*r**3 - 34*r**3 - 2 + 2.\nAnswer: -2*r**3 - 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*f - 70*f + 39*f in the form k*f + o and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 262*f + 1050. Let j be h(-4). Solve -j*k + 7 = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21837, -21840, -21841, -21840, -21837?\nAnswer: -21832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -101624.83785231?\nAnswer: 101625.13785231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 - 124 = 0. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525 and 18200?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:38 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1111011111011100 (base 2) to base 15\nAnswer: 13c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458046.5 hours to nanoseconds.\nAnswer: 1648967400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 17*s + 48. Let m be f(-12). Let q(r) = 4*r**2 + 14*r + 15. What is the units digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12146 and 160.604864.\nAnswer: 12306.604864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/9))**19 assuming z is positive.\nAnswer: z**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 17*c**2 - 60*c + 5. Give w(-6).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:17 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-26)*(-26)\/(-637).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000387595202 to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b. Let m = -657 - -657. Let x(w) be the third derivative of m*w + 1\/12*w**4 + 0 + 0*w**3 - 12*w**2. Determine v(x(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284 - 72. What are the prime factors of c?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1134 and 132.\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 35 = -a - 4*a, -3*c = a + 12. Solve f + 0 - a = 2*u, -u + f - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122140?\nAnswer: 2, 5, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 38. Let q be z(-10). Let c(a) = -2*a**2 - 58*a - 52. Let o be c(-28). Solve 10 = -o*d - 2*i, 4*d + 3*i = q*i - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6362 is divided by 1487?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -218? (a) 46 (b) 3\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x - 8. Let m be 0\/x + (-7)\/(-28). Let t = 49\/55 + -12\/11. Sort -0.5, m, t in ascending order.\nAnswer: -0.5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:53 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 - (-14 - -67)) + (-3 - -1 - (-4 + 4)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2777.4 - -2777.3975193. What is x rounded to 5 dps?\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51756250*s**3 + 2566200*s**2 + 33120*s + 128.\nAnswer: 2*(125*s + 4)*(455*s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.4*0.004.\nAnswer: -0.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 9*b**2 + 24*b - 5. Let k be p(10). Let o = 532 - k. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158011.\nAnswer: 7, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-37) + (-18486)\/(-35076))\/(2\/92)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001677164 to 6 dps.\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2212\/(-3792))\/(1\/3).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdgg when four letters picked without replacement from ogrrgrgrghovgddrrdh?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3165*c + 8312*c**2 - 3165*c.\nAnswer: 8312*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 0.57. Let a = d - 0.4. Which is bigger: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1716073794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1830 (base 10) to base 3.\nAnswer: 2111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -0*g. What is the third derivative of -63 + q**3 + 63 - g*q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 362970243.2?\nAnswer: -362970243.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1946112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -106*(-1)\/(-6)*-87. Suppose -17*z + j - 126 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48938\/339 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 720 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:02 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 - (-155 - -166)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -21. Solve -f + 7 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjojjjoj. What is prob of picking 2 j?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (496\/(-32))\/((-6)\/384*1) is divided by 47?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1.9?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 339 + -269. What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207 by 3.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39873 and 1?\nAnswer: 39873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 0.86829.\nAnswer: -0.0520974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3854\/1443 + -2\/481. Let q(u) be the first derivative of 13\/15*u**5 - 10\/3*u**2 - 1\/9*u**6 + 2 - c*u**4 + 4\/3*u + 37\/9*u**3. Solve q(b) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2926558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*v + 245, 147 = v + 2*v + 4*o. Let f = -31 + v. Solve 2 = 5*m - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203\/2 or -101?\nAnswer: -203\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:24 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15861996 and 1656.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3 + 5. Suppose -2*p - 25 = -7*p. Let d(a) = -2*a**2 - a - 4*a**2 + p*a**2. Determine d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20023 (base 4) in base 12?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 y when four letters picked without replacement from {y: 3, a: 1, i: 7, b: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Let w = -0.1 + l. Are w and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254066520 (base 7) in base 3?\nAnswer: 1010100201120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051089.\nAnswer: 3, 13, 26951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/((-438)\/(-292)). Let d(j) = 4*j**2 + 2*j + 1. Let u be d(-2). Sort u, 3, n in ascending order.\nAnswer: n, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 295.93 and 119.\nAnswer: 35215.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.6. Let s = 1 + z. What is the third smallest value in s, 0, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -558 + 2404. Is u a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*f + 39, 8*f + 3*u + 33 = 13*f. Suppose -f - 5 = o + 5*y, y + 5 = 0. Calculate the lowest common multiple of o and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:50 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 211, 698\/5?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 43. Let x(p) = p**2 + 12*p + 16. Let y be x(t). Solve 4*n + y*l = 12 + 2, 5 = 3*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7131 + 2744 = 25*h. What is the remainder when h is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose -2*s + 5*t - 2 = -50, -a*s + 110 = -3*t. What is the remainder when s is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**5 + 4 - 4 + (7 - 7 - 3*r**2)*(1 - 1 - r**3))*(-27 - 29 + 51).\nAnswer: -45*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*v - 5, 0*v = -v - 3. Factor -4\/5*p**j + 2\/5*p**3 + 2\/5*p + 0.\nAnswer: 2*p*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453 (base 6) to base 10\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1581980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 5 (c) -8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.994 and -0.4.\nAnswer: -0.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197229*h**3 + 197230*h**3 + 0*h**2 - 1577 + 2*h**2 + h**2 + 408 to the form a*h**2 + q*h**3 + x + o*h and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14816, -14821, -14814, -14789, -14740, -14661, -14546?\nAnswer: -14389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 28*r + 15. Let n be t(-12). Let q be n\/(-36)*(-4)\/(-3). Let d(k) = k**3 - 6*k**2 + k - 6. Let c be d(6). Is q greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((-1)\/(-105)). Let f(w) = 3*w**2 + 64*w - 234. Let c be f(4). Is v at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2394 + 2392. What is the nearest to -1\/5 in v, 5, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(7208\/159)*(-8)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2923 - 7?\nAnswer: -292a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m = 36*m + 25. Suppose -m*r - 5*y = -110, 0 = -4*r + 2*y - 3*y + 79. Solve -r + 3 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + 10.97. Let z = -10 + r. What is the closest to -2\/7 in -2, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1))\/n)**(4\/5)\/(n**(3\/4)\/(n*n**(2\/7))))**(6\/11) assuming n is positive.\nAnswer: n**(-111\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409505498?\nAnswer: 2, 13001, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -1057830?\nAnswer: 1057833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2029 - 2024. What is the nearest to 0.1 in 12, g, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-144)\/45 - -3)*1. Is w < 19\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 23*p - 2. Let n be d(23). Is (-2253)\/2*n\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(18)\/sqrt(6)) + -2 + 2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1586 - 1.0926. What is s rounded to two decimal places?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**2 - 4*n - 2. Let h(u) be the third derivative of -u**5\/12 + u**4\/12 + u**3\/6 - 21*u**2 + 6. Calculate -9*h(m) - 4*l(m).\nAnswer: m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238308 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b + 42*b - 4128 = 0. Let g = 14 + 12. Suppose 30*k - g*k = b. Calculate the remainder when 81 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 - 11?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, -69, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 123\/5 (c) -0.2 (d) -2\/113 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29\/21 - -12\/7. Which is the nearest to 3? (a) 0.4 (b) x (c) -2\/15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**2 + 77*o - 36. Let a be r(-7). Solve 0 = 82*b - 87*b + w - a, -2*b - 2*w + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 + (-36 - 0) - (5 + -1 + -8 + -2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + u + 8 + 0. List the prime factors of o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*o + 16 = -112*o - 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r**2 + r)*(-4*r**3 + 0*r**3 + r**3) - r**5 + r**5 + r**5.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22092 > 22093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((-2*sqrt(24))\/sqrt(2) + sqrt(12)))**2*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962320.\nAnswer: 2, 3, 5, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(1\/(-4)). Find the third derivative of m**2 + 4*m**3 - i*m**2 + m**2 + m**2 wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 16) to base 11\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d = 271*d + 730*d - 176*d + 44055 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(605)*-3*-4 + 2)**2.\nAnswer: -174248 - 1056*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177781100 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-12) - (-10)\/8. Factor r*c - 1 - 2*c**3 + 2 - 1.\nAnswer: -2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -44, -74, -108, -146, -188?\n\"Answer: -2*g**2 - 20*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81028720 divided by 6320?\nAnswer: -12821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 4*b + 14. Suppose -2*n - 3*n - 2*i = 36, 2*i - 18 = 4*n. Let s be d(n). Solve 0 = t + s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 15*r**2 - 2 + 3 + 7*r**2 + 9*r**2. Give j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -65 - 153. What are the prime factors of h?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in days?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4845846 to the nearest integer?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12.48 + 0.151231\nAnswer: 12.631231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6815598.\nAnswer: 2, 3, 31, 36643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -112, -108, -104?\n\"Answer: 4*w - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcdigkg. What is prob of picking 1 d, 1 i, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u\/u**(-34) assuming u is positive.\nAnswer: u**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 27 = 4*a + 5*t, -t = -4*a + 109. What is the greatest common factor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 25 = 8*r, 360 = 5*d + 4*r. Calculate the remainder when d is divided by 8\/20*100*(-1)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -43*c + 88. Let z be m(4). Let u be (16\/z)\/((-23)\/46). Determine q, given that 10\/21 - 2\/21*q**2 + u*q = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 1:07 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 21*o + 4*o + 4*o.\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-94 + (1 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*m**2 - 16*m - 13*m - 17*m wrt m?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -3.\nAnswer: -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.1 and 725083?\nAnswer: 6598255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2341, -4, 1, -1 in increasing order.\nAnswer: -2341, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/5, -1, 4, 2, 3, -1901.64 in descending order.\nAnswer: 4, 3, 2, 1, 3\/5, -1, -1901.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a231 + -125?\nAnswer: 23a107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-10)\/15*(-558)\/68. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/336)\/11*(-12)\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -35\/6 (c) -3 (d) -2\/13 (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -8, -0.4, 0, 16, 71, 1\/198?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11328*x**2 + 340*x**3 - 11399*x**2 - 243*x**3 as o*x**2 + l*x**3 + q*x + f and give l.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5 + 62*n**4 + 626*n**3 + 2306*n**2 + 2972*n + 1232 = 0. Calculate n.\nAnswer: -14, -11, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37601 or 37594?\nAnswer: 37601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 82584440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -34317 less than 432\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c + 2*c + ((1 + 3 - 2)*(59 + 52 - 86) - 1 + 2 - 7)*(-5*c - 8 + 8).\nAnswer: -218*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.3 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47594, -47505, -47342, -47093, -46746, -46289?\n\"Answer: 2*n**3 + 25*n**2 - 47621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/20 (b) 4 (c) -933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12152, 10794, 9436, 8078, 6720?\nAnswer: 5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62737\/20 + 12741\/4. Let u = w + -48. Let o be (-6)\/9 - (1 + (-12)\/9). Which is the biggest value? (a) 1 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*j - 16074 - 136880 = 942*j + 2478*j for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-678)\/9*12\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 + 532 = 2*u. Suppose m + 0*m = u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**2 + 4*n. Let d(x) = -2*x - 4*x**2 - 31 + 31. What is -5*d(a) - 2*i(a)?\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 2, -81, -52, 3 in increasing order.\nAnswer: -81, -52, -37, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1833*f + 295104. Calculate r(161).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 9.05. Which is bigger: r or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by -16\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - 54580368 + 54580368.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 17 = 3*n, 2*n + 0*b + 8 = -2*b. Let w be -2 - -5 - (1 + 0). Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n - 24. Let r be z(-6). Suppose f = -4*o + 4*f - 4, 2 = -2*o - f. Let q(g) = -2*g**3 + 6*g**2. Let w(d) = d**2. Determine o*q(i) + r*w(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4209341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, s: 4, a: 4, r: 4}. Give prob of sequence vr.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*i + s + 9 = 0, i - 27 = 5*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, 0.1, -1, -4, -1.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.889 millilitres to litres.\nAnswer: 0.541889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2840 + 2843. Solve c*l = -22*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2193524556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199192 or -254?\nAnswer: -199192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**6\/120 - t**5\/30 + t**4\/6 - t**3\/2 - t**2\/2 + 3. Let h(i) be the second derivative of c(i). Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -17 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 1147 - 18*z + 0*z + 11*z + 3*z.\nAnswer: z - 1147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243404457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-24))\/((-2)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 1, h: 1, a: 2, n: 1, j: 1}. Give prob of sequence ahjm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30470*c - 11184*c - 12173*c to t + j*c and give j.\nAnswer: 7113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43412709.\nAnswer: 3, 251, 57653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1067, -2, 465, 5, 1 in descending order.\nAnswer: 465, 5, 1, -2, -1067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18706380 divided by 5\nAnswer: 3741276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 24 = 4*p, 0 = -4*c - 13*c - 4*p + 280. Let q = 11 - -11. Calculate the smallest common multiple of q and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 259 and 1628?\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:31 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1) - 120\/(-32))\/((-2)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100727.64256 to the nearest 100.\nAnswer: 100700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1481, 2954, 4417, 5870?\n\"Answer: -5*l**2 + 1488*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1) + -2*(-6)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 9. Determine j(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5230.008 - 5248. Let p = z + 18. Round p to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3053910274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 9 - 11. Sort -5, -1, d.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1526, -1525, -1524, -1523, -1522?\n\"Answer: y - 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:43 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + -3 + 2 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.5, 18.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1023, -1041, -1059, -1077, -1095?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyin when four letters picked without replacement from nnniikiyikikkind.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -25299.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f + 4748 + 1793 = -291*f - 6619 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spov when four letters picked without replacement from {s: 1, t: 1, v: 1, p: 1, o: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:36 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*4*6 + sqrt(132))\/(sqrt(12) - 6*(sqrt(12) + sqrt(96)\/sqrt(8))).\nAnswer: -26*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-12))\/4*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/7 + 66*u**4\/7 + 230*u**3\/7 - 66*u**2\/7 - 232*u\/7 = 0. What is u?\nAnswer: -29, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7170*f + 1. Let y(m) = -43011*m + 7. Determine -13*d(g) + 2*y(g).\nAnswer: 7188*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.061 and 0.02515.\nAnswer: -0.00153415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-282)\/(-42))\/((-1)\/(-7)) + -1. What is the greatest common divisor of x and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s. Let n(y) = 64623 + 119*y - 129244 + 64621. Calculate p(n(w)).\nAnswer: 1547*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22010202120 (base 3) to base 4\nAnswer: 213013032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112928158 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5699 + 0.6581. Let y = j + 2.9. Round y to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (-3 - -18)) + (-1 - -13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from fxfxxffxfxxx.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - y - 64 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 857? (a) 2\/5 (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 344\/2580*-340*3\/(-8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19445922 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: Simplify (0 + 1*(0 + sqrt(304) + -1))**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4097 and 15.\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16.1, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6236779 rounded to one decimal place?\nAnswer: 21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*p = -471, -5*h + 6*p = p - 780. Put 2, -4, h in ascending order.\nAnswer: -4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2991 = -v - 2990. Sort v, -20, -4, -3.\nAnswer: -20, -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 22. What is the remainder when 43 is divided by c(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18656064 is divided by 518224.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**12*r)\/(r*r**(-12))*(r**(-4))**(-26))**(2\/13) assuming r is positive.\nAnswer: r**(256\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -80580, 0.5, -0.09 in ascending order.\nAnswer: -80580, -0.7, -0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*o**2 + 138*o - 138*o - 3 + 1 with respect to o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) 1 (c) -1\/3 (d) 21 (e) -112 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)*v*v*v)\/(v\/v**0*v))**(-46)\/((v**0)**(-10\/13))**(-10\/11) assuming v is positive.\nAnswer: v**(-598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d. Suppose 9*v = 4*v + 10. Is 8 a factor of h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4 + 6*o**3 + 4*o**2 - 6*o - 5 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107234439 is divided by 326.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from lljjjjljjljaljjjajp?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 3*n - 1. Let p be k(-4). Suppose -p*f - 4*o + 4 = 3, 2*f = 3*o + 12. Let u be 1 - 3*(-2)\/2. Solve -l = -f*l + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 5. Let o(q) = 0*q + 6 - q + 1 + 1. Suppose 0 = 4*s + 6 + 14. Let p(f) = s*o(f) - 8*r(f). Let y(i) = i. Give y(p(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 2, -3*w = -4*o - 2. Solve c - 13 = -w*a, -37 = -3*a - 3*c - 2*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 39. Let g be q(12). Let x = 220 + g. What is the third derivative of 197*a**2 - 12*a**5 + 31*a**5 - x*a**2 wrt a?\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 51697*b. Let n(g) = -41*g + 2. Calculate o(n(u)).\nAnswer: -2119577*u + 103394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19705 - 19697. What is the highest common factor of 4924 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -697697 and 79063299.\nAnswer: 78365602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 16368 = -10*a. What are the prime factors of a?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/14850 and 155\/119574.\nAnswer: 98648550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -22201\nAnswer: 2\/22201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -40, -0.3, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 q, and 1 f when four letters picked without replacement from {f: 1, q: 9, w: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (153344\/3648 + -42)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 229 - 19. Let q = w - -51. 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 prob of sequence oo when two letters picked without replacement from ooow?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-3) - -1) + (0 - -4). Solve -v*w = -2*h + 8, 12 = -h - 2*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/21 - 2\/7. Let s = 13 + z. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 - (-36 - -30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3976882.2 minus -751?\nAnswer: 3977633.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5307275 (base 8) to base 3.\nAnswer: -2122202222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127077 = 31*p + 39471. What are the prime factors of p?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, -2 in descending order.\nAnswer: 6, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c - 5, -4*k = -c - 17. Suppose k*g - 5*m + 1 = 0, 3*g - 3*m = 5*g + 26. Put 0.5, 0.2, g, -2\/21 in descending order.\nAnswer: 0.5, 0.2, -2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 * 79867\nAnswer: 750749.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625158 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -600, 5 in descending order.\nAnswer: 5, 4, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1065168 and 936?\nAnswer: 1065168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067 - 360 - 173*p - 343 - 364.\nAnswer: -173*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104*d - 40*d + 3*d**2 + 65*d - 852 + 2938 wrt d?\nAnswer: 6*d + 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/23520 + q**6\/840 + q**5\/210 - q**4\/12 + 2*q**2. Let p(y) be the second derivative of j(y). Factor p(m).\nAnswer: -2*(m - 2)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) + (-8)\/(-30). Let a(x) = -x**2 + 6*x. Suppose -3 = -3*b + 12. Let z be a(b). What is the closest to j in 0, -0.4, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 9. Let j(h) = 1. Calculate -3*f(z) - 24*j(z).\nAnswer: -6*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 23 = -5*r, 105 = -2*o + 5*r + 94. Let i be (-22)\/8 - (-2)\/(-8). Put -2, i, o in increasing order.\nAnswer: i, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186925.\nAnswer: 5, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.51564 meters to centimeters.\nAnswer: 6651.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/4741 and 23\/9482.\nAnswer: 9482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 5. Calculate the highest common divisor of d and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 6 = -22*b. Solve b*d - 10 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z + 17 - 44*z - 17 in the form y*z + k and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.057 - -1.137. Let l = 0.12 + j. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c - 9. Suppose 12*s - 10*s + 2*f - 54 = 0, -3*f + 46 = 2*s. What is the least common multiple of s and m(-6)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-10)\/(t**(2\/7)\/t) assuming t is positive.\nAnswer: t**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/156)\/(6\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 51. Suppose 0 = 4*g + 4*j - 28, 6*g - n = g - 4*j. What is the remainder when (-4 - -74) + (g - 0) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a - 13. Let u(b) = 5*b + 6. Let i(q) = -4*n(q) - 9*u(q). What is the units digit of i(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9 - 13*k + 8*k + 4*k - 2. Let o(g) be the third derivative of -g**4\/24 + g**3 + g**2. Determine -5*o(z) + 4*y(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1114*f*p*y**3 + 61*f*y**3 + 5*f*y**2 + 4*p*y**3 wrt p.\nAnswer: 1114*f*y**3 + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:04 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 28*w**2 - w + 56. Let f be m(28). Suppose f = 5*y - 4*v - 58, -4*v - 32 = -2*y. Solve y*r - 17*r = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/(-10))\/((-2)\/4). Suppose 2*q + 0*k - 73 = -t*k, 0 = -2*q + 4*k + 28. Suppose -4*g + 92 = q. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*a**3 - 53*a**3 - 3*a - 2 - 18*a**2 - 2955*a**4 + 16*a**2 + a to s + d*a**2 + r*a + u*a**3 + n*a**4 and give n.\nAnswer: -2955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*g + 51 = 0, 3*g + 276 = 6*f + 336 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20194634.93 - 20194739.3549969. Let y = -104.42 - n. Let k = y + -0.005. What is k rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58524203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dliududiuluulld. Give prob of sequence ulld.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 46132 = -5*f, 2*f - 4*n - 3690 - 14770 = 0. Suppose -15*o = -8*o - f. Suppose -g + 4*v + 931 = -o, -g - 2*v + 2249 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -716632 and 0.7?\nAnswer: -501642.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8427*u - 1002810. Give c(119).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 5. Let r(c) = c - 3. Let t(f) = 8*r(f) - 5*x(f). Let u be t(3). Let y = 4 - u. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 7. Let s(c) = -3*c + 6. Let i(o) = 4*s(o) - 5*z(o). Let u be i(-8). Solve u*v + 0 - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -632*h - 5247. List the prime factors of f(-47).\nAnswer: 37, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 124. What is the third derivative of -5*s + 57*s**3 - 4*s**5 + 0*s**5 - 2*s**j - 58*s**3 + 2*s**5 wrt s?\nAnswer: -120*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, k: 8, v: 1, n: 1}. What is prob of sequence kukn?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 + 1057266*x\/13 + 81328.\nAnswer: 2*(x + 1)*(x + 528632)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mvvvmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651592889?\nAnswer: 11, 7177, 33587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + -0.15. Let h(z) = 2*z - 6. Let f be h(5). Which is the biggest value? (a) f (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72382598.\nAnswer: 2, 36191299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 359 and 1799\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/576 and 57\/41176.\nAnswer: 2964672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331292?\nAnswer: 2, 13, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t = -36*t + a - 15, -3*t + 41 = 5*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - r + 282, -3*k = -k + 3*r + 123. Let g(m) = m**3 + 13*m**2 - 5*m + 16. Let h be g(-13). Let s = h + k. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**2\/9 - 14*h\/3 = 0?\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.229678 times 11\nAnswer: 2.526458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 7}. What is prob of picking 3 n?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*v + 4 = -100*v. Let y(o) = o**3 + 6*o**2 - o - 6. Let b be y(-6). Suppose b = -v*j - 0*j + 20. What is the remainder when 27 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 925*c**4 - 446*c**2 wrt c?\nAnswer: 22200*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 2. Suppose -4*u = 2*s, 0 = 4*s - 2*u + 6*u. Let h = -40 - -39. Which is the closest to h? (a) q (b) s (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*((-34)\/1)\/204.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/5 - k**4\/5 + 6*k**3\/5 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) -3 (c) 0.042 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411797 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 2564*q**2 - 792832*q + 18704576.\nAnswer: -2*(q - 22)*(q + 652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497954 or -497956?\nAnswer: -497956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62372480?\nAnswer: 2, 5, 41, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*i**3*u**2 + 592*i**3 - 13*u**2 wrt u.\nAnswer: 32*i**3*u - 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23.6 + -47016\nAnswer: -46992.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*(7 + (-2310)\/(-90))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/20775 and 52\/9141.\nAnswer: 228525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.354692l to millilitres.\nAnswer: 4354.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let q(h) = -3*h + 2. Let w(i) = 4*i - 3. Let l(a) = -7*q(a) - 5*w(a). Let p(v) = 5*v + 6. Let o(b) = 6*l(b) - p(b). Determine f(o(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 155, 485, 1065, 1919, 3071?\n\"Answer: 4*t**3 + 101*t**2 - t + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v - v)*(-3 + 2 + 3 + (21 + 39 - 21)*(24 + 21 + 34)) to the form p + m*v and give m.\nAnswer: -3083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2. Let s(t) = 821169*t. Give j(s(k)).\nAnswer: 7417503792171*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5835578074 and 1.052?\nAnswer: 0.4684421926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**18)**(-1)*(t*t*t**(-3\/2))\/t**(1\/43))**25 assuming t is positive.\nAnswer: t**(35425\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 23*a + 5*r - 20409, 51075 = 5*a - 5*r. Is 92 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206503 + -3?\nAnswer: 206500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 7 - 4 - 8. Let t be r(8). Let g(s) = -s**2 + 2 - 3*s**2 + 3*s - 1 + s**t + 4. Calculate g(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.224 + -0.129. Round n to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500003199 to the power of 1\/2, to the nearest integer?\nAnswer: 22361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = -17*t + 74 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-4) + 15\/(-20). Suppose 0 = -5*h + 10, -f + 10 = -2*f + 5*h. Solve 0 = -f*p - i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from lgnmt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4013380.\nAnswer: 2, 5, 7, 109, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 25. Let l be p(12). Let r be 0\/((-2)\/2*1). Suppose -l = -x - r. Let j(h) = -7*h**3 + 2*h - 1. Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98351973?\nAnswer: 3, 10927997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/3? (a) -1\/5 (b) -3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49969396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*l + 2)*(2 - 1 + 1) - 3*l + 4*l - 3*l)*(-24*l - 11*l + 8*l).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 1666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23164730 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38984 is divided by 1624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from eeeeeeeeeeeeeeeeeyu.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/7)\/((-2)\/(-28)*-1). Solve m - 8 = -3*m, -4*m = a*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 9:23 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o + 43 = -2*o. Let w = 14 - 12. What is the fourth smallest value in w, 1\/2, -38, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24\/11, 3, 7 in increasing order.\nAnswer: -24\/11, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(0*k + k - 3*k)*(3*k + k - 5*k)*(-7140 - 8548 + 13677).\nAnswer: 12066*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2*r**2 + 2*r. Let o(l) = -8*l**3 - 13*l**2 + 12*l - 3. What is 6*b(d) - o(d)?\nAnswer: 14*d**3 + d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 383 or 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 18. Let f be s(5). Let j be -3*((-6)\/2 + f)*1. Suppose -3*r - 2*r = j*k - 232, -3*r = 4*k - 302. What is the remainder when k is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-40)\/(-50)))\/((-9)\/6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4675117 litres in millilitres?\nAnswer: 467.5117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4226 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2093467995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let d be (-1 - -5) + -2 - 1. Let g(x) = x - 1. Let r(m) = -m - 3. Let w be r(-6). Let i(h) = -5*h + 3. Let v(f) = d*i(f) + w*g(f). Give t(v(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + 5*g + 3. Let z be j(-5). Suppose 4*n = -z + 95. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -571.862178304 from 0.94.\nAnswer: 572.802178304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13678*a**3*o**3*y**3 - 8*a**3*o*y**3 - a**2*o**2 - 51*o**3*y**3 - 2*o**3 - 3*o**2*y**3 - 106*y**3 wrt a?\nAnswer: 82068*o**3*y**3 - 48*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 17 = 159. Let m = d - -93. Solve 3*f = -m*k - 8, 32 = 4*f - 4*k - 0*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*c - 10. Let o(r) = r**3 + r + 12. Let d be o(0). Let k be (-2)\/d + (-1)\/(-2). Are c and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6711, -13422, -20133, -26844, -33555?\n\"Answer: -6711*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y + 3. Let b be r(11). Suppose -b = -2*d + 418. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*p + 51*p + 104. Let t(n) = 9*n**2 - 5*n + 44. What is the units digit of t(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-3*d**3 + 2*d**3 + 3*d**3 + (1 - d - 1)*(-103 + 10*d**2 + 103)) to the form u + l*d**3 + f*d + y*d**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (43 + 3 + -26 + -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8583 + -8578. Solve 3*x = -s*p - 2, -5*p - 163*x = -158*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 4. Let r = -4469 + 4525. Calculate the remainder when r is divided by j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 47 - 10)*(2 - 2 - t)*(-4 - 3 + 6)*(-10 + 10 - t + 2).\nAnswer: -35*t**2 + 70*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 833 and 357?\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 15) in base 11?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -16*u + 3024. Let o be (-3)\/(-3) + 0 + 1. What is the remainder when (o\/(-4))\/((-12)\/u) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3743 and -3744 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t - 3. Let z = -7 + 4. Let o be l(z). Suppose -4 = g - 40. Calculate the greatest common divisor of o and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001281 rounded to 7 decimal places?\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*((-3*b**2 - 3*b**2 + 4*b**2)*(593 - 593 + 44*b**2) - 3*b**2 + 2*b**4 + 3*b**2).\nAnswer: -86*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1926011116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 + j - 1. Let m(h) = -4*h**3 + h**2 + 7*h - 4. Let k(p) = -5*c(p) + m(p). What is k(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23443201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -24*q - 1176. Give k(-47).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dea8 (base 15) to base 5.\nAnswer: 11112213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 248*u**3 + 27*u - 5. What is the units digit of z(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1572*z - 661*z - 5 + 5 to y*z + x and give y.\nAnswer: -2233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/18 + (-11)\/(-3). Solve -2*j + 5*f = 27, q*j + 2*f + f - 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3 (b) -1\/3 (c) 8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886808 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -0.102\nAnswer: -0.00612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 d when three letters picked without replacement from xmdddixsxxxxdxdimm?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10*i = 5*i + 255, -4*b = -i + 216. Put -5, 3, b in increasing order.\nAnswer: b, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25870 + -25868. Solve 2*x = -3*t - 1, -m*x - 2 = 169*t - 167*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713 less than -1241?\nAnswer: -4954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from shwhjsjhwjwjhshvsj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102925320?\nAnswer: 2, 3, 5, 857711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1325266.\nAnswer: 5\/1325266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -45*y + 51*y. Let u(d) = -2 + 14*d + 23*d + 3. Determine u(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201.11 + 1.11. Let j = -4110 + 3901.9. Let s = j - d. Round s to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose 2*z + 0*v - o*v - 395 = 0, -1015 = -5*z + 2*v. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158462245 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.29, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -1 (b) 5\/3 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1084*f - 155013. Give n(-143).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 - 478 = 93*d + 537 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 4*b = -200, -132*b + 128*b - 40 = -2*p. Suppose -3*n = -0*n - 18. Calculate the greatest common factor of p and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3640 and 1365.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -173654672787.3.\nAnswer: 173654672794.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 25 = -8*t, n - n + 97*t - 100*t = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6380 or 6173?\nAnswer: 6380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0162 and -22?\nAnswer: -0.3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25999770?\nAnswer: 2, 3, 5, 109, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*m + 8 = -0*m, -5*m = 4*t + 1. Let w(l) = -l**2 + 8*l - 11. Give w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*z + 10 = -9, -5*a - 4*z = -63. Let f be -2 - 0 - (a + -6)*-13. Let o = -32 + f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5386 + 710969\/132. Let h = 4\/33 + q. Factor -h*u**3 + 1\/4*u**5 - 1\/4*u**2 + 0 + 1\/4*u**4 + 0*u.\nAnswer: u**2*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -31\/8*v**3 + 99\/8*v**2 - 1\/8*v**4 - 101\/8*v + 17\/4 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33690 divided by 34089.\nAnswer: -11230\/11363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(55)\/(3*sqrt(11)*2) - (-3 + (1*sqrt(30))\/sqrt(6) + sqrt(5))).\nAnswer: -22*sqrt(5)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -0.9904.\nAnswer: -28.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(2 - 2 + r)*(9*r + 4*r + 2*r).\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000117499 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbi when three letters picked without replacement from {i: 1, k: 1, b: 4, n: 1, v: 1, y: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) + (-290)\/(-35). Let w(c) = -c**3 + 8*c**2 + c - 7. Calculate the lowest common multiple of w(g) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/135*468\/1612?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 304314*k + 3956068. Calculate n(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/9 + 16*x**2 + 384*x + 3072 = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11744 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47642?\nAnswer: 2, 7, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -23. Calculate the lowest common multiple of 8 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-35))\/(((-172)\/6)\/((80220\/(-180))\/(-191))).\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Let q = -1.99 - 0.01. Let t(x) = 9*x**2 + 106*x - 23. Let d be t(-12). Which is the closest to d? (a) q (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*q + 45*q - 13152 = 0. Let a = 1145 + q. What are the prime factors of a?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -19, -2, 27\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 4 - 10\/3*s**3 + 0*s**2 + 0*s. Let l(d) = 11*d**2 + 3*d**2 - 21*d**2 + 11*d**2. What is y(l(t))?\nAnswer: -160*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 5*x**2 - 4*x. Let g be n(-4). Suppose 6 = 2*r - g*r. Suppose -5*s - 22 = -2*w + 23, 3*s + r = 0. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**3\/3 + 34*t**2\/3 - 67*t\/3 + 38\/3 = 0.\nAnswer: 1, 2, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u - 31*u - 10*u + 0*u - 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5141073745?\nAnswer: 5, 29, 35455681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 9*u**2 + 6*u + 11. Let n be h(8). Which is the biggest value? (a) n (b) -2 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031756 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8420521 to the power of 1\/2, to the nearest integer?\nAnswer: 2902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**5*f**(-2\/59))**(-16) assuming f is positive.\nAnswer: f**(-6576\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 161. Suppose -d*m + 36 = -3*m. Suppose 2*k - 198 = -0*k. What is the highest common divisor of k and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 15*v - 20*v - 3*w, 4*v + 3*w = 25. Solve v = 8*a - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.493 (b) 0 (c) -28 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8321 + 13665. Let i = 90428285\/16938 + 7360\/2823. Let q = i - f. Calculate the common denominator of 70\/33 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 26*b**2 - 3*b + 81. Let a be r(26). Solve 0 = 3*v - a, 0*v - 4*v = -5*o - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7706, -7690, -7664, -7628, -7582?\n\"Answer: 5*k**2 + k - 7712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.578 and 3.\nAnswer: 4.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 10) in base 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 1\/210*u**7 + 2*u**2 + 0*u + 0 + 1\/24*u**3 + 1\/16*u**5 - 7\/96*u**4 - 13\/480*u**6. Let q(m) = 0. Calculate m.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 8 = -3*m. Let i be 2\/3 + 4\/(-6). What is the units digit of 0\/m + (34 - i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a - 200 = 0, -4*a + 240 = 5*p + a. What is the remainder when p is divided by 14*1 + (-6)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11734691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r**2 - 183*r + 31. What is n(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c81db - 1d7?\nAnswer: c8004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + -59. Suppose -4*q + 3*g + 1 = 0, -5 = 3*q - 3*g - 2. Suppose j + 36 = 3*w, 0 = -w - q*j + 17 + 8. What is the remainder when x is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4275*t**2 - 300. Let j(v) = -225*v**2 - 16. Let c(r) = 75*j(r) - 4*o(r). Let d(k) = -2*k. What is d(c(m))?\nAnswer: -450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/91 or 1?\nAnswer: 23\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5 (b) -4\/5 (c) 10.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/50472 and -31\/76.\nAnswer: 958968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f + 24 - 52 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-1)\/(-2)). Let t be 3*(0 - b\/(-3)). Let s(f) be the third derivative of 7*f**6\/120 + f**4\/24 + f**3\/6 + 10*f**2. What is s(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, -2\/5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5813.\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*y = 818, -3*d = -d - 5*y - 391. Suppose -5*r + d = 2*k, 0 = -3*k + 3*r - 0*r + 336. What are the prime factors of k?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, u: 1, m: 2, c: 2}. What is prob of sequence gum?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 + -b9?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5835.344 kilograms to tonnes.\nAnswer: 5.835344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7869701?\nAnswer: 7, 29, 38767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 15. Suppose -2*b + 0*b = -5*u - v, 5*u = 5*b + 15. Is (4\/(-6))\/(b\/81) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*l - 1941 - 539 = 133*l - 224*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 10*d**3 - d**3 - 8*d**3 - 4*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38\/13 + -113\/52. Let -3\/4*o**3 + 1\/4*o**4 - 1\/2 + 1\/4*o**2 + w*o = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5500*w + 5509*w + 5 - 10999*w.\nAnswer: 10*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, p: 2}. What is prob of picking 1 p and 3 t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 15*b + 4 = 0. Put 56, b, -5 in descending order.\nAnswer: 56, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**2\/2 + 3*p + 4. Let h be 16\/(-56) + (-5)\/7. Let k = h + 8. Determine f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 p, and 1 t when four letters picked without replacement from wpntnwwnwpnwgywttw?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - (-2 - -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 148125*((-30)\/(-2) + 1). Round a to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*g - 6 = 0. Is (-262)\/(-6) + 4\/g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from {t: 1, x: 2, p: 1, w: 5, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*w + 77, 0 = 4*w + 3*z - 20 - 39. Solve 3*c + 0*c = -2*v - 16, -c - 3*v - w = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 + 277*h**4 - 2842*h**3 + 8012*h**2 - 6888*h = 0.\nAnswer: -287, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 198006980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/20)\/(((-45)\/10)\/((-2)\/(-4)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.0638 (b) -5 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-15 - -15) - 8 - (-5 + 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9749948 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(72) - (sqrt(18) + 4)) + -4 + (sqrt(224)\/sqrt(7))\/(sqrt(4) + sqrt(12)\/(-2*sqrt(3))).\nAnswer: -29*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Suppose -5*f - 76 = -21. Is c(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from pmuxmum.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 24, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001121 (base 3) in base 16?\nAnswer: 1ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 10*i + 3. Let n(j) = j + 14. Calculate the smallest common multiple of d(5) and n(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -993, -0.9, -91?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -123*t**2 - 115*t - 2. Let l(h) = 1535*h**2 + 1380*h + 25. What is -2*l(k) - 25*z(k)?\nAnswer: 5*k**2 + 115*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 6}. What is prob of picking 4 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 (base 16) in base 14?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 4\/37 in increasing order.\nAnswer: -0.3, 4\/37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28876810 by 62.\nAnswer: 465755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/3 - 73886*n**4\/3 + 225842362*n**3 + 30012774738*n**2 - 30238592472*n = 0.\nAnswer: -132, 0, 1, 18537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3123535124 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14.1 (b) 0 (c) -0.3 (d) -31\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5425404 (base 7) in base 9?\nAnswer: 1218316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 + 2*i**4 - 5*i**4 + (2*i**4 - 3*i**4 + 3*i**4)*(-2 - 2 + 3) - 336 + 24*i**4 + 336 - 2*i**4 + 5*i**4 + 2*i - 2*i**4.\nAnswer: 24*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.128 and 1.4.\nAnswer: 0.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 7, e: 1, u: 7}. What is prob of sequence un?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**2 - 17*n**2 + 38*n**2 - 29*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 77*f**3. Let k be h(-1). Let q = 452 - 539. Let i = k - q. Solve 0 = -5*g + 2*g - 2*m + 1, 4*g - 3*m + i = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 5, w: 4}. What is prob of sequence weew?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.805 rounded to 1 dp?\nAnswer: -52.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-85))\/(5\/(-25))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 - 33 = 0. Let b(p) = p - 1. Let i(g) = -2*g**2 + 6*g - 5. Let l(n) = z*b(n) + i(n). Find the first derivative of l(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 27*d**2 - 50*d + 36. Determine j(-25).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 621972.2ug in kilograms?\nAnswer: 0.0006219722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1762 + 1743 - (-7 + 9 + -3 + -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**5 + 220*t**3 - 166167*t wrt t.\nAnswer: 160*t**3 + 1320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157687.25 rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/((b**1*b)\/b)))\/(b**4*b)*b**0\/b*b*b\/(b*b**(1\/4)\/b*b*b*b)*b*(b\/(b**(-2\/3)*b*b)*b*b\/(b**4*b))\/(b\/b**3*b\/b**1*b) assuming b is positive.\nAnswer: b**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 711 and 1463001.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 - 7)*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 3 = -14*p. Let i(w) = 3*w + w + 7 - p - 9. Give i(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2 - 442341*s - 7520664 = 0.\nAnswer: -17, 147464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -41, 2, -18, 4, -64 in descending order.\nAnswer: 4, 2, 1, -18, -41, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 3. Let b(w) = 25766*w - 17838. Calculate b(l) + 5946*i(l).\nAnswer: 1982*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18*(24\/(-9))\/4. Let h = c + -7. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, 82, 3, -16, -3 in descending order.\nAnswer: 82, 4, 3, -3, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -414620 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 849, 3429, 7729, 13749, 21489, 30949?\nAnswer: 42129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251772791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80*(12\/(-10) + 2) + -4. What is the lowest common multiple of l\/(1 + 2 + (-7 - -6)) and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167749674 + 709757429 = 181*b + 168*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*b - 3562, 711 = -2*j - 3*b + 2472. Is 37 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from ojjooj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -58\/563333?\nAnswer: -58\/563333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2100 and -69\/1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 - 18)*(2*k - 5*k + 2*k) to f*k + l and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12912649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2027 = r, -8*g - r - 3043 = -11*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*2*2*5)\/(2*sqrt(24)\/(sqrt(3)*4)).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*a - 2640 + 5279 - 2639.\nAnswer: 1198*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4892483150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, -1.2255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1452.55 and -0.352?\nAnswer: 1452.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36767, -38227, -40689, -44177, -48715, -54327?\n\"Answer: -4*l**3 - 477*l**2 - l - 36285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/15*(-10)\/(-7). Let w be (-232)\/56 + (0 - -2). Let o = w + d. What is the closest to o in 3\/2, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1254 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1155195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 4 - (-1 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -616.5 and -627?\nAnswer: 386545.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360081172.\nAnswer: 2, 3517, 309929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + 1 + -5).\nAnswer: -6*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 + 60*q**2 + 18*q + 97. Let p be w(-7). What is the greatest common factor of 1083 and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:36 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -79, -3, 0 in decreasing order.\nAnswer: 0, -1, -2, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126532283 at least as big as 126532281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/(-15)*(-5)\/2. Let d(h) = 11*h**2 - 3*h + 8. Let i(w) = 3*w - 7*w**2 - 2 + 2 - 5 - w. What is q*i(y) + 5*d(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252799256 a multiple of 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1679\/546 - 418\/39. What is the common denominator of (-83)\/(-6) - (6 + -4) and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.91 - -4.41. Let h = -0.1 - -0.3. Let p = h + r. Which is the third smallest value? (a) p (b) -3\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:06 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 41*a - 464. Give d(13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1497 - -1497. Which is the closest to 0? (a) -4 (b) m (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 12, 5*w + 4 = 2*v. Let m be 201\/(-36) + 1 + 4. Let j = m - -61\/228. Is j greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 43 = -5*y + 8*y, 45 = 5*y - 5*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*v + 76. Suppose -5*r - 3*u + 276 + 84 = 0, 0 = 5*u. Let s = r + v. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -11)\/((-3)\/(-2)). Let w = -1055 + 1057. Solve h*u = 0, u - 4*u + 2 = -w*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -1637 + 1707 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 20 = 21*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41302257083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 6700000 = 5*f. Round f to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-135)\/6)\/(-5). Suppose 4*l - z*l = 0. Solve 2*x - 12 = -y, l = -0*x + 4*x - 2*y - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11023655453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:17 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i - 1399 + 3*i + 1397)*(3 + 3 - i + 3).\nAnswer: 8*i**2 - 70*i - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - 252*r + 256. What is f(-87)?\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 42*l + 11 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rar when three letters picked without replacement from krvakanvrnkna?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445 + -120?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 3629526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. What is the second derivative of 28*j - 39*j - 10*j**o + 3*j**5 wrt j?\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x. Suppose 7 = 2*n + 3. Let t(a) = 22*a**2 + 25*a**2 + 24*a**2 - 73*a**n. Give f(t(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -494.352437663 - 0.647540437. Let o = 495 + z. Round o to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20302506 (base 8) to base 16.\nAnswer: 418546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(-1 + (3 + sqrt(612))*1 + -5 + -5))**2.\nAnswer: -96*sqrt(17) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 1. Let n be y(-2). Suppose 3*g - n = -1. Calculate the highest common divisor of g and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-6))\/((-1227730)\/(-136410) - 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/3 and (-296)\/(-64) - (-3)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from uzzzu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 2\/5, 0.25, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12645 (b) -4\/3 (c) -1.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (3 + 0 + -16 + 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, 231, 532, 727, 684, 271, -644?\nAnswer: -2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6182.837 and -0.01?\nAnswer: -61.82837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 less than -231.651248506?\nAnswer: -188.651248506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 + 15 = g, 0 = 4*g + 3*k - 18. Suppose -3 = -y, -g*s = -0*y + 3*y - 18. Solve -s*m + 13 = -l - m, m + 6 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/22172184 or 0.4?\nAnswer: -1\/22172184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863413?\nAnswer: 1863413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(-1 + sqrt(171) + -5))**2 - -2*(sqrt(5472)*2 - sqrt(38))\/(sqrt(72) + sqrt(2)).\nAnswer: -962*sqrt(19)\/7 + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17*s - 5376 = 0. Suppose -s = 197*k - 205*k. What is the remainder when 209 is divided by k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-3*i**4 - 2*i**4 + 4*i**4) + (3*i**3 + 3*i**3 - 3*i**3)*(0 + 7 - 4 + 2*i).\nAnswer: 7*i**4 + 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 54*h**2. Let n(x) = -x**2. Let l(j) = -d(j) - 45*n(j). Let m(q) = -2*q. Determine l(m(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/9 + 1*4. Let j = i - 9. Let l be (-4 - j\/2) + 4. Solve -n - l*y + 5*y = 7, 5*y = n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31151?\nAnswer: 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/7, -2\/11, 1\/466 in descending order.\nAnswer: 4\/7, 0.3, 1\/466, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221000 and 18895500?\nAnswer: 37791000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, i: 1}. Give prob of picking 1 j and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (2 - 1) - -225. Let a = n + -114. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10068*m - 49736. Calculate y(5).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h = -89*h + 78. Suppose -41*v = h*q - 40*v - 333, 434 = 4*q - 2*v. Calculate the remainder when q is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*x - 22 = 0, -x - 1 = -y + 3*y. Suppose -3*b = 3*f - y*b - 4, 3*f - 8 = -2*b. Let a(m) = -3*m - 6. Let w be a(-8). Solve f = 4*k - 2 - w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 53*s = 4096. Let i = s + -306. What are the prime factors of i?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 6, -3, -4, -1, -201, -14.\nAnswer: -201, -14, -4, -3, -1, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 6*t**3 - 3 - 6*t**3.\nAnswer: -12*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8948267 or -8948265?\nAnswer: -8948265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 2*p)*(-1 + 2 - 2)*(-3 + 3 - p)*(-2*p + 1 - 1).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064 is divided by 637.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 820? (a) -32 (b) 1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/15)\/f**(-2\/23) assuming f is positive.\nAnswer: f**(122\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -4, 6.3, 97, 5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3411*r**2 + 6*r + 12. Let d(f) = -3407*f**2 - 5*f - 10. What is 6*d(j) + 5*o(j)?\nAnswer: -3387*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 44\/155 (b) -1\/2 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 2 + -1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27379 and 1463.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 12 - 20. Which is smaller: 3\/13 or o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -476, 479, 2066, 4285, 7136, 10619, 14734?\n\"Answer: 316*u**2 + 7*u - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 = 5*c, -c + 3*c = -m + 1. Calculate the least common multiple of m and ((-12)\/14)\/((-2)\/14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 1\/5, 1.3, -150149, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -15, -1\/536, 0.4, 3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(17) + (sqrt(17) - (sqrt(17)*3 + 5)))**2 + -2.\nAnswer: 20*sqrt(17) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2755840 by 640.\nAnswer: 4306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*m + 3*b - 96, 2*b - 6 = 0. Let h be (2\/4*4)\/(2\/5). List the prime factors of (h + -15)\/((-4)\/m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-366 - -84)*(-4)\/(-6)*-7 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21223 and 362919?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(125) + -5 + -4 + sqrt(140)\/sqrt(7)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:41 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 26170 = -5*y - 26144, -v + y - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.53 + 0.47. Which is the third biggest value? (a) -6 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 6)*(0 - -3). Suppose -27 - 3 = 6*p. Let y = p - -16\/3. What is the closest to y in c, 2, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17186 and 312.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose 11 = -2*u - 2*w + 5, -w = -4*u + 3. What is the units digit of c*(u - 2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11432870.\nAnswer: 2, 5, 19, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1b2d (base 14) to base 13\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194560 and 1520.\nAnswer: 194560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/41))**(-1\/19)*r\/(r*r**25)*(r\/((r*r**(2\/11)\/r)\/r))\/r)**(-5\/8) assuming r is positive.\nAnswer: r**(259045\/17138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735*l**3 - 1596*l**2 + 732*l - 96 = 0. What is l?\nAnswer: 2\/7, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 19*h = -24. Find the second derivative of -23*m**3 + 35*m + m**2 + 0*m**h + 0*m**2 wrt m.\nAnswer: -138*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*u - 238, 2*q - 5*u - 235 - 3 = 0. Suppose q*t = 121*t + 94. Is -49 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + (1 - -1 - -59) + -1416 + 1395?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421 by 65253.\nAnswer: 421\/65253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3493*y - 6988*y - 1 + 3*y**3 + 3497*y + 119*y**2 to the form z + q*y + u*y**3 + h*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 1, y: 2, p: 2, j: 2, o: 1}. What is prob of picking 1 p, 1 f, and 1 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*m - 20, -2*a - 3*m = 2*m - 25. Let y(r) = -r**3 - r**2 + r + 91. Does 13 divide y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from qwqwwqqqqqqqqqwwqw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 830*(0 + -4)\/(-36). Let h = -92 + o. Let -2\/9 - 2\/3*q**2 + 2\/3*q + h*q**3 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**5\/30 + p**2. Let q(j) be the third derivative of j**4\/12 + 3*j**2. Calculate q(k(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:46 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -73. What is the fourth smallest value in -1\/10, -0.15, 4\/5, j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + n - 6. Let j = -1 + 1. Let m be l(j). Is (-2)\/m - 840\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 1. Let x(m) = 5*m + 14. Let q(l) = -4*s(l) - x(l). Let y be q(-9). Which is the third smallest value? (a) 1 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*q - 18*q**2 - 4*q**2 + 177*q - 88*q + 7*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.1, -1, -4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/840938 and -47\/8281.\nAnswer: 142118522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b + 1. Let k be m(1). Let y = 2 - k. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 515.5561 and -560?\nAnswer: 1075.5561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + ((-40)\/(-25))\/((-1)\/5). Put -1, n, 4, 5 in ascending order.\nAnswer: n, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36191, -36210, -36229?\n\"Answer: -19*u - 36172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q*y**3 + 1280037*q*y**2 - 786*y**4 - 1559*y**3 + 22*y wrt y.\nAnswer: 24*q - 18864*y - 9354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a1 + -16?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 divided by -46?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**5\/2 + j**4\/12 - j**3\/6 + 9*j + 8. Let h(u) be the first derivative of q(u). What is h(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011450294 rounded to five dps?\nAnswer: 0.01145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 6*k - 2. Let h(i) = -5*i + 5. Let w be h(2). Let m be d(w). Differentiate m*j**3 + 0 - 6*j**3 + 1 + 0 with respect to j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -56 (b) 0.03 (c) 0.1 (d) 5\/6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12088 + -12087. Which is the second smallest value? (a) f (b) -122 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 6*x - 242. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 14, 33, 54?\n\"Answer: r**2 + 14*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*sqrt(396) + -1)*6)**2.\nAnswer: -10800*sqrt(11) + 357300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 15003\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 5*c - 17. Suppose -4*n + 3*k + k + 12 = 0, 0 = 5*n - 3*k - 5. Let i be (-6)\/(-4) + 19\/n. Calculate the remainder when 27 is divided by l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79660286 divided by 5\nAnswer: 79660286\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = f - 11, -11 = 2*y - 6*y - 5*f. Suppose y*a = 4698 + 4174. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -0.012868.\nAnswer: -0.032868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11\/6, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 9. Let t(a) = 4 + 0*a + a - 6 - u. What is t(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -169 - -18?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(sqrt(99) - (sqrt(99)*-1 + sqrt(99))*1)\/(3*sqrt(36)\/sqrt(4))*3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t**3 - 2*t**2 - 2*t + 1. What is the remainder when j(2) is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 11*j**2\/2 - 7*j - 12.\nAnswer: (j - 2)*(j + 1)*(j + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*t - 27 = a, 3*a = 3*t + 72. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-414)\/1449 - (-2 - (0 - 2)). Which is the nearest to x? (a) -7 (b) 2\/59 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**6\/720 + m**5\/120 + m**4\/4 + m. Let o(g) be the third derivative of d(g). Calculate o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-116)\/(-28) + 1)\/((-6)\/(-462))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197 - 185. What is the highest common divisor of 348 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.62 * 47\nAnswer: 311.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (-6*sqrt(76)*2 + (sqrt(76) + 1 - sqrt(76))*6 - 4*(sqrt(76) - (-1 + sqrt(76) + sqrt(76) + -4))))**2.\nAnswer: 1920*sqrt(19) + 29784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -18?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16565*s + 55940000 = 16555*s. Round s to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8183 and 353539?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-2 + 4.\nAnswer: -8*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 31. Let g be j(-6). Let p(d) = -5737*d + 13. Let o be p(g). What is o rounded to the nearest 100?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 1712539 + 856557 + 858498 = 0 for o.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42321 (base 6) to base 16.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1650 and -49.11?\nAnswer: 81031.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2769822 and 34452?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/5 - 24*a**2\/5 - 432*a - 5120 = 0. What is a?\nAnswer: -20, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*w + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 + 19*n**2 - 6*n + 5*n. What is the units digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 1697400.\nAnswer: 1697400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -263*k**2. Let c(z) = -z**2. Give c(m(w)).\nAnswer: -69169*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iggv when four letters picked without replacement from {g: 3, b: 1, x: 4, o: 1, i: 4, v: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225 + 226. Sort -1\/4, -2, i.\nAnswer: -2, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 116.91. Let c = -0.38 - f. Let g = 0.13 - c. What is the third smallest value in 1\/2, g, -5, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 7 + (-5 + 2 + 1)*(-3 + 4 + 0) + (2 - 3 - 1)*(18 - 35 - 18))*(-2*y**2 + 7 - 7) to the form m + t*y + x*y**2 and give x.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 + h - 2. Let t(s) = 35*s**3 + 6*s**2 - 2*s - 10. Let k(a) = -t(a) + 6*x(a). What is k(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-675294)\/1044)\/((-1)\/66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**4*(f*f**1)**21)**(-2\/5) assuming f is positive.\nAnswer: f**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:19 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29371 (b) 2\/19 (c) 0.1 (d) 8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93.913 + -94. Let j = -4.233 + u. Round j to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1096674*j. Let u(v) = 5*v**2. Calculate u(i(w)).\nAnswer: 6013469311380*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 - 461 = -4*d - 2*j, 4*d - 3*j - 860 = 0. Suppose 5*i + 16 = 106. What is the remainder when d is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/4 - (-2380 + -10). Solve -4*u**2 - 42*u - 13*u**2 + 2383*u**3 - m*u**3 - 21*u + 81 = 0 for u.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 66. Let v(o) = -o**2 + 7*o + 9. Let g be v(8). What is the remainder when -2*(g - -28)\/(-1) is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 0*q - 85 + 7*q**4 - 7*q**4 - 2*q to the form r*q**4 + z + i*q**2 + g*q**3 + k*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 17)*(2*z - 4*z + 2 + 3).\nAnswer: 38*z - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:30 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.219204417 + 1.119212077. Let y = -20.1 - s. Round y to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 18 = -2. Let o = a - 1. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**3 + 41*g**2 - 7*g + 5. Let t be s(-7). Put 75, 0.3, t in decreasing order.\nAnswer: 75, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/3 - 2312002*x\/3 + 7706740 = 0?\nAnswer: -1156011, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106112867.\nAnswer: 43, 48979369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908377 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 10:54 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7254 and 15066.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57\/2 of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Let k(j) = 37*j. Calculate p(k(y)).\nAnswer: 1369*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 45006*w**3 - 14*w**2 - 14*w. Let m(k) = -75009*k**3 + 24*k**2 + 24*k. What is -7*m(p) - 12*s(p)?\nAnswer: -15009*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9469360 divided by -28870?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 33943194.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8) - (-18 - 703\/(-38)) - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 125, 183, 265, 377, 525, 715?\n\"Answer: b**3 + 3*b**2 + 24*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5667444 by -944574.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-2)\/10 + ((-2715)\/25)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 91. Suppose -w - 4*w = -495. What is the highest common divisor of w and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-56)*(-8)\/(-3). Find x such that 56\/5*x**4 + 18*x**3 - 98\/5*x**5 + 8\/5*x - 56\/5*x**g + 0 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-680))\/((10\/((-7840)\/(-36)))\/((-318)\/(-371)))?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276, -15500, -29724?\nAnswer: -43948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/9)*w**(-4))\/(w**(1\/3)\/(w**(5\/4)\/w*w)))**49)**(5\/4) assuming w is positive.\nAnswer: w**(-29155\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/(-168) + (-3)\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.5251 take away 21745007?\nAnswer: -21745171.5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-51)\/(-2 + 5))\/(-1). Suppose -p = -5*w + 3. Suppose -2*q - w + 164 = 0. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-9)\/10))\/(6\/((-828)\/(-115))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 89*i - 1479. Give b(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 557676 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 10*p**2 + p. Let s be d(-3). Let n be ((-20)\/s - 0) + 2\/(-3). Factor -n*m**2 + 0*m + 0.\nAnswer: -2*m**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 2 (b) -3 (c) -351\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 8. Let o be ((-18)\/(-4) + -2)*2. Suppose 36 = o*s + 6. Is h(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13818*w**3 - 13819*w**3 + 6 - 6.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6*u - 94 = -94 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*n = 14, -6*p + 11*p - 30 = -3*n. Suppose 2*o + 4*j - 28 = 0, 2*o - 5*j = p*o - 29. What is the highest common factor of o and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/8)\/((-2)\/(-8)). Suppose 6*p = y*p - 12. Let u be (-2 - -2) + (-1 - p). Solve u*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, i: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - t - 106 = x, 3*x + 5*t = 58. What is the remainder when x is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 9*w**6\/35 + 9*w**5\/35 + 3*w**4\/28 + w**3\/42 - w**2 + 1. Let p(i) be the second derivative of s(i). Factor p(k).\nAnswer: (6*k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17423 - -17697. Solve 0 = 10*u + x - 344 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m + 465 - 465 + 5*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400901 is divided by 33406?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/4 + 501*b**2\/4 + 83667*b\/4 + 4657463\/4 = 0. What is b?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10 (b) 2 (c) 2937 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 5, s: 3, n: 1, m: 1, u: 5}. What is prob of sequence yym?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - 178\/(-6). Is (t + 6\/2)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503250 (base 6) to base 10\nAnswer: -39630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.041.\nAnswer: -0.00205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6*b + 9. Let m be j(5). Suppose -541 = -m*o + 1267. Differentiate -o*k**3 + 0 + 457*k**3 + 3 wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 97*s + 91*s - 281*s + 95*s.\nAnswer: 2*s - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 14. Give q(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 78952 and 78943 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 62208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/66 - -2*(-2)\/22. Calculate the greatest common factor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397667 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365398 is divided by 3971.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 4*u**2 - 5*u + 23. What is p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 10330320?\nAnswer: -10331000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.4 (c) 5403 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -368.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2999, -4842, -6685?\nAnswer: -8528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Suppose 0 = 3*g - 2*z - 9, 5*z - z = 5*g - 15. Let a be b(g). Solve 3*k - 4*h = 3 + 4, -a*k = 4*h + 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p**3 + 167*p**3 + 26*p**3.\nAnswer: 255*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 684*t**2 - 1 - 673*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448713676?\nAnswer: 2, 29, 12488911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 2. Let t(h) = h**2 - h + 1. Let j(o) = -p(o) - t(o). What is the first derivative of j(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(24\/7)\/p**(-3\/22))**1)**(-14) assuming p is positive.\nAnswer: p**(-549\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 3, k: 1, n: 3}. Give prob of picking 2 n, 1 c, and 1 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44866 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 2404, 3581, 4720, 5809, 6836, 7789?\nAnswer: 8656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -134517607 divided by 6\nAnswer: -134517607\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*y**2 - 1 + 2)*(-3*y + 5*y + 0*y) + (-y + 0*y + 0*y)*(-5*y**2 + 3*y**2 + 0*y**2) to the form h*y**3 + w*y**2 + u*y + c and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43, 47, 16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/((k\/k**15)\/k)*k*k\/(k**(-6)*k*k)*k**(-4\/7)*k\/k**(2\/37))**(-50) assuming k is positive.\nAnswer: k**(-315650\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a factor of 243985615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s**2. Let i(w) = -3*w - 7. Let n(g) = -1. Let x(j) = i(j) - 5*n(j). Let u(p) = -p - 1. Let v(m) = 2*u(m) - x(m). Give t(v(o)).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*r = -44, -3*d + 3*r + 8 + 10 = 0. Let s = 8 - 4. Suppose 3 = -s*w + 15. Solve b - 11 = 4*u, 0 = -u + w*b + 19 - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/19 - -89\/133. What is the third biggest value in v, 2\/19, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 1788*h\/7 + 267840\/7.\nAnswer: -3*(h - 720)*(h + 124)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245\/4 + -61. Let x be 14\/2 + (-4)\/1 + -4 + 1. Which is the closest to 0.2? (a) 0.46 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 26 = 32. Suppose t*m - 133 = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591892 greater than 7591892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((6*1*sqrt(27)*-2)\/((sqrt(81)\/sqrt(3))\/sqrt(3) + (sqrt(9) - sqrt(81)*-4)))**2*3.\nAnswer: 422\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 69014*i - 483144. Determine l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/30)*z*z**6 assuming z is positive.\nAnswer: z**(209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.014*1.61.\nAnswer: -0.02254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + 15. Let d(o) = -4*o**2 - o**2 + 7*o**j. Let b(t) = -9*t. What is d(b(i))?\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 83*m**2 - 12*m + 36. Let h be u(5). What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1415 by -5.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -58. Suppose o + 275 = 2*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q = -3*o + 57, -5*q + 115 = 5*o. Let a(s) = 2*s**2 - 12*s + 11. Let m be a(4). Let n be 4\/(-1) - 5\/m - -6. Solve n*t + t = -o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - g - 4 = -5, -k - 2*g + 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -10. Suppose 4*z = u + 8. Solve -7*h + 2*h = -4*i + z, -h + 2*i = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326151013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2d382?\nAnswer: 2d37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:23 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -565767673 + -62.\nAnswer: -565767735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 87*o = 277020. What are the prime factors of o?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 - 322*m - 1094 with respect to m.\nAnswer: -8*m**3 - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2. Let o(x) = 723569*x. Determine o(d(v)).\nAnswer: -2894276*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*z = 17215 + 18315, 4*a = -3*z + 142075. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928113945 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s - 22. Determine b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.228 + 0.028. Which is the nearest to 1? (a) 4\/5 (b) d (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 1825, 6183, 14679, 28693, 49605, 78795?\nAnswer: 117643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 45*k - 54. Let h(d) = d. Let v(y) = -18*h(y) - r(y). Differentiate v(p) with respect to p.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*n - 8 = 0, -17 = -2*i + 2*n + 3*n. Let m(f) = 12*f**2 - f. Determine m(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, e: 3, g: 3, x: 1, n: 9}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-8)\/2) + -3. Let g be (-28)\/98 - p\/21. What is the second smallest value in 2\/5, 3, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**3 + 2*y**2)*(0*y + 2*y + 4*y)*(25 + 7 + 5).\nAnswer: -222*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - -115. Let y(l) = l**2 + 12*l + 14. Let j be y(-11). Let n = 117 - 112. Solve j*r + r = -n*d + 22, z*d + 2 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1458 + 1457.7. Suppose 0 = -2*m + 4*m. What is the closest to 3 in 1, m, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - m - 9 = -22*p, 0 = p - 4*m - 16. Put 0.2, p, 3, 4\/9 in decreasing order.\nAnswer: 3, 4\/9, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -1119*m**5\/5 - 1460*m**3\/3 - 1301. Find the third derivative of n(r) wrt r.\nAnswer: -26856*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.71 in -83, -0.5, 2\/11, -4.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -59. Suppose -3762 + 3729 = -11*j. Solve -3*f - 3*m + 12 = w, -m + 1 + j = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824612 to the power of 1\/2, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 + 1166.\nAnswer: 1165.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + 2*f)*(64*f - 45 - 66*f - 7).\nAnswer: -6*f**2 - 156*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12457 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -27*m**2\/2 + 105*m - 69. What is the hundreds digit of u(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4\/4 - 11*z**3\/2 + 13*z**2 + 22*z - 48 = 0.\nAnswer: -24, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (32 - (3 + -14)) + (-2 - 0)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -190, -290, -390, -490?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 5*y - 40, -2*f + 30 = 5*y. Let i(z) = -f*z + 3*z + z. Let l(x) = 4*x**2. Let m(h) = 2*h**2. Let v(c) = -2*l(c) + 5*m(c). Give v(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 - -174. Calculate the remainder when ((-17)\/5 - 1)*-10 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*z + 18 - 9 - z - z + 3*z + (3 + 1 - 5)*(-2*z + 6*z - 2*z) + (0 + 1 + 0)*(-z - 1 + 1).\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*0 - -4. Let c = 0.8 + -0.7. What is the biggest value in 0, g, -0.8, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346961*d**5 - 13*d + 18138 wrt d.\nAnswer: -6939220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 4*(-1)\/(-2). Suppose -5*r + 8464 = b, 11*r - 3390 = 9*r + t*b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/(78\/(-8)). Which is the closest to 0.4? (a) 5 (b) 1 (c) f (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 22868 + 3529 = -5*z, -32237 = -5*m - 3*z. Suppose -2*a - m = -18242. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 5*y**3 - 5*y**4 + 2*y**3 + 2*y**3 + 2*y**4 - 2*y**3 + (-y + 2 - 2)*(-2*y**2 - 2*y**3 + 2*y**2).\nAnswer: -y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165389176229 + d**2 - 2*d**2 + 165389176229.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5251102 (base 6) in base 10?\nAnswer: 255566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z - 6 = l - 3 + 3, l - 4*z + 3 + 3 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 2210*n**2 + 700304*n + 47622696.\nAnswer: 2*(n + 93)*(n + 506)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.3 - -11.3. Let g = -11.8 - i. What is the closest to g in 0.2, -5, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1764\/4590 + (-4)\/34)\/((-697)\/(-85) + -8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 144*g - 526*g - 37*g - 213*g - 445*g.\nAnswer: -1077*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3166 - 0)*(7 + (-78)\/12). Suppose 3*p = 12, p + 11586 = c + x. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12156*n**3 - 12360*n**3 + 2*n + 2*n - 4*n.\nAnswer: -204*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 2*d + 2*d**3 + d**2 - 5*d**3. Let u(j) = -j**3 + j**2 + 3*j. Suppose 54*q - 45*q = 27. Determine q*u(t) - 4*h(t).\nAnswer: t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*j**5\/5 + 2878*j**4\/5 + 10094*j**3\/5 - 94774*j**2\/5 - 120728*j\/5 - 3752 = 0. Calculate j.\nAnswer: -7, -1, -2\/11, 5, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d + 13. Give t(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 - 12\/20. Let n be (t - 2)\/(0 - -1). Let d be n - (-1232 + (0 - 1)). What is d rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332019 and 1296?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 386141 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 211 = -7*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 2262329.\nAnswer: 2262334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 106, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:09 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*g - 1279 = -477 + 2088 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-915)\/(-10)*528\/18.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 2. Let t(i) = -2*i - i**2 - 1 + 0 + 5*i. Let b be t(2). What is the units digit of u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24 = -3*d, -4*d + 30 = 10*r - 12*r. Solve -s = -l + d, 2*s - 4*l = 8 - 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/4 (c) 27011.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.031 (b) -1\/2 (c) -1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -177*26\/(-4602) - (2 - -83)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -78192*c + 5*c**2 + 78192*c. Let v(z) = 2*z. Let j(x) = 3*x. Let o be (27\/(-12))\/(-3)*4. Let d(n) = o*j(n) - 2*v(n). What is r(d(s))?\nAnswer: 125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 78. Let y be t(-19). Suppose 0 = y*u + 2*u, 0 = 4*q - 3*u - 384. What is the greatest common divisor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 1. Let n(f) = -f - 1. Let u be n(-7). Suppose x = u - 10. Let b(h) = 6*h - 4. Let m(s) = x*v(s) + b(s). Let z(a) = 2*a**2. What is z(m(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbhhhha. What is prob of sequence ahbb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8355.9 to the nearest ten.\nAnswer: -8360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1651, 1669, 1711, 1789, 1915, 2101, 2359?\nAnswer: 2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 68*m + 66. Determine p(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16.1 or 4.2?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 862 + -6076.629\nAnswer: -5214.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 67. Let c(t) be the second derivative of 0*t**2 + 0*t**4 - 1\/2*t**3 + 3\/20*t**5 + 0 + x*t. What is the second derivative of c(y) wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:47 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y + 2. Let i be n(0). Let o(q) = -q**3 + 5*q**2 + q - 1. Let l be o(5). Solve -l = -i*s + 4, -2*s = 3*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -17*a - 12. List the prime factors of h(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/5 (c) 366 (d) 0.5 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 3*u + 2*y, 3*u + 4*y + 113 = 512. Suppose -3*v = -0*v - u. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2552 - 22?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 2018*w**2 - 14078*w - 9. Determine d(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 2189 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1262*f - 1262*f + 69*f**3)*(-29 - 43 + 7) in the form o + b*f + d*f**3 + a*f**2 and give d.\nAnswer: -4485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.64 - 0.24. What is the fourth smallest value in y, 1, 17, -2\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*62\/(-8)*6\/(-4). Let z = 70 + f. Factor 0*p**2 + 0*p - z*p**4 - 1\/4*p**5 + 1\/2*p**3 + 0.\nAnswer: -p**3*(p - 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -3 + 2)*140\/(-12). Let b = j - -37. Put 3, b, -3, -1 in descending order.\nAnswer: 3, b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 - 705810?\nAnswer: -705665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514, 830, 1134, 1420, 1682, 1914, 2110, 2264?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 1. Let r be w(-2). Let u be (7 - r)*(4 + -3). Suppose u*b + 4*k = 28, -k - 2*k + 17 = 2*b. Solve 0 = b*p - 5*d + 2*d, -5*d - 14 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 361389.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -29. Let j = 128 + w. What is the remainder when 138 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8641 - -8644. Put 2, 4, -2, g in decreasing order.\nAnswer: 4, g, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 2*y + 2. What is p(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = -0. Let b be 4\/(0 - (2 + -1)). Sort 3, j, b in descending order.\nAnswer: 3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 9) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 105 (c) 2\/9 (d) 0.4 (e) -101 (f) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 74 - 6. Solve 6*x - 3*x - 2*u = -10, -u - a = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 133601*x**3 + 4*x**2 - 5*x. Let h(t) = -t**3 - 8*t**2 + 11*t + 13. Let q be h(-9). Let g be b(q). What is g rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -151*m - 664. What are the prime factors of r(-20)?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -1139, -4, 3 in ascending order.\nAnswer: -1139, -10, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22414938 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1267\/756 - (28 + 24256\/(-864))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -6, 11, 32, 57, 86, 119?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -165 + f - 209 - 159 + 514. Let j = 55 - 36. What is l(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342868693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.987279 - 10.9872766. Let u = 7 + k. What is u rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 164*b\/3 + 55.\nAnswer: -(b - 165)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*i - 48705 = -7*g, 0 = -5*g - 4*i + 48695. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.48 - 26.18. What is the fourth smallest value in v, 0.4, -2\/21, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -25\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 - 2*w. Let i = -40 + 43. Let k(s) = 5*s**2 + 3*s. Give i*o(t) + 2*k(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) + (-1 - 1). Let u = 120.7 - -440.3. Let n = u - 551. Put 3, n, i in decreasing order.\nAnswer: n, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 9.2. Let x = 7 - i. Let d = x + 0.2013. Round d to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 368, 738, 1108, 1478, 1848, 2218?\n\"Answer: 370*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 33. What is the smallest common multiple of 4 and (z - 9 - 1\/3)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 - 49*l - 6. Let u(y) = y**2 - 9*y - 1. Calculate -p(b) + 5*u(b).\nAnswer: -3*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 12*l**2 + 7*l + 10. Let t be v(-10). Let u = -59 + t. Suppose q - 3*k = u, -5*q - 5*k = -0*k - 465. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -12. Let u(l) = 54*l + 548. Let q be u(-10). Suppose b = 3*y - q. Calculate the highest common divisor of y and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 51*b + 183871 = -52*b, j = -4*b + 61299. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/6 + c**2 - 6*c. Give v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcdc when four letters picked without replacement from {d: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v**2 + v - 1. Let h be s(-1). Let o be (20 - 14)*10\/h. Solve -b + 8*l - 20 = 4*l, -4*l = -o*b - 36 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*c + 11, -5*a + 8*a - 4 = 2*c. Let g(f) = -4*f + 3. What is g(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -80. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63920911 or 63920912?\nAnswer: 63920912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154510722 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 3, what is -21101 - -1?\nAnswer: -21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 953.4026l?\nAnswer: 953402.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/22*2*-4*(-4)\/(-32)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 13. Let s be z(-9). Let p(u) = -5*u - 4*u - u + s*u. Let i(h) = 2*h. Let k = 17 - 12. Calculate k*p(m) + 14*i(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12976*y - 163540*y - 15184*y.\nAnswer: -165748*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1\/(-1) - 80\/24\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*x - 4*o = -o + 791 - 55, 2*o + 12 = -3*x + o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.8 and -652299.\nAnswer: -652300.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(sqrt(147) + (sqrt(147) - (-1 + sqrt(147))) + sqrt(147) + sqrt(147) + sqrt(147) + 3) - (-2*sqrt(147)*-6 + sqrt(147) + -3))*5)**2.\nAnswer: -5530*sqrt(3) + 9916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-1)*12\/(-24). What is the units digit of (-1292)\/(-20) + h\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2769\/234 + (-4)\/3)*183060\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = -39. Which is smaller: q or -226\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 70042 and 0.0815 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7995\/246*(1 - (12\/15 - -1))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1172*t**2 - 10401*t - 1. What is n(8)?\nAnswer: -8201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*n**2\/5 - 42*n\/5 = 0. Calculate n.\nAnswer: -21\/47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103010101 + -11?\nAnswer: -103010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*c = 67*c - 138*c - 11200 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvuhfvvfuh. What is prob of picking 2 u and 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**2*r**3 + 42*i**2*r**2 + 2*i**2*r + i*r + 2177398*r**3 - 5*r**2 - 11514*r wrt r.\nAnswer: -30*i**2 + 13064388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 = 7. Let m(s) = 3 + 2 - 8 + 5*s - 7. Let h(y) = -4*y + 8. Let o(i) = -6*h(i) - 5*m(i). Give o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185907680.4 - 22.\nAnswer: -185907702.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*i - 58253 = -27566 + 48805. What is the highest common divisor of 136 and i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199511762.\nAnswer: 2, 17, 5867993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 151?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/36720 and 37\/73440.\nAnswer: 73440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81940 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*z = 127*z + 8425 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/5 in -0.2, 0.1, -2, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001807996021 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. What is the remainder when z is divided by (45\/10)\/(6\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 19. Let w be z(10). Calculate the common denominator of -76\/9 and (-6)\/w + 25\/(-24).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(-42) + (32\/(-28))\/(-4). What is the closest to -2\/3 in -1\/3, j, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-288232)\/21*9\/(-6). Suppose 10*b - x = 6*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*g - 251*g - 300*g - 93*g.\nAnswer: -504*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -14 - 7) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/13558560 and -109\/40675680?\nAnswer: 40675680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 7*x + 27, 0 = 2*k + 245*x - 242*x - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 8*k**4\/21 - 358*k**3\/21 - 1226*k**2\/21 - 1052*k\/21 - 64\/7 = 0.\nAnswer: -2, -1, -1\/4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9261581 to the power of 1\/2, to the nearest integer?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Let j = 3 - w. Which is the second smallest value? (a) j (b) -0.5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -119*q - 136 + 1067. Let b(u) = -4*u**2 + 35*u + 4. What is b(q)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12893 + -48?\nAnswer: -128db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*k**3 - 33002*k**2*l**2 + 1837544*l**2 wrt k.\nAnswer: 90*k**2 - 66004*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1819 divided by 27369.\nAnswer: -1819\/27369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000608831396 rounded to 5 decimal places?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 29) + (-1267 - -1287)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q + 1243. Let y(f) = 10*f + 1237. Give 4*a(o) - 5*y(o).\nAnswer: -2*o - 1213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + v**2 + 10*v**2 + 12*v**2 + 5*v**2 + 18*v**2.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384809?\nAnswer: 79, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4)*6)\/(sqrt(99)\/sqrt(81)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 48*a**3 + 13*a**2 + 8*a + 17. List the prime factors of j(6).\nAnswer: 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - (-32 + 30)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287 - -63. Calculate the greatest common factor of 70 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -3, -414259 in ascending order.\nAnswer: -414259, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111333 (base 4) to base 7\nAnswer: -4050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/10 + 5)\/((-1)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 - -3071. What is the second derivative of -i*v**2 + 2*v + 2744*v**2 + 9*v wrt v?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1401250 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54\/5 of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 7*q - 7*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:55 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 17\/2*r**2 - 1 - 14*r. Is 13 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -2\/9 (b) 0.4 (c) -1\/7 (d) 3\/4 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -5*n, 5*k - 28 = -n. Let w be k + 3\/12*-4. Solve 0 = 4*p + 5*b + w, -3*p - b - 3*b = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w - 76. Let t be 610\/75 + (-94)\/30 + 3. Calculate the remainder when p(t) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4862, 4916, 4970?\nAnswer: 5024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 3*d**2 - 2*d + 3. Is 52 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 28*u - 9. Let b(c) = -3*c**2 - 19*c - 6. Let l(s) = 7*b(s) - 5*g(s). What are the prime factors of l(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 4121 + 1150 = 0. Let g = m + 263. Let z = 2 - -1. Solve -q + 0*q = -z*r + 2, 2*r = -2*q - g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*n**3 + 186*n**2 - 292*n + 24.\nAnswer: -(n - 6)*(n - 2)*(23*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i - 13. Let f(u) = -9*u - 14. Let b(r) = 4*f(r) - 5*t(r). Let l(w) be the second derivative of w**3 + 7*w**2 - w. What is 8*b(z) - 5*l(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 138590*b + 2770995. Determine f(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132101 is divided by 1210.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-540))\/(2\/(-40))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7392.9024 to the nearest ten.\nAnswer: -7390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 3335*x**3 + 3*x**2 + 0*x**2 + 1662*x**3 + 1675*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (13 + -2 - (10 - (-1 - 0))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25060 - -230907. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 1\/(-16) - 1 and ((-39)\/18 + 2)*(5 - 120).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -47, 1 in descending order.\nAnswer: 4, 1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 2, 285, 0.3, 257?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-21) + (-24)\/35\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z - 1. Suppose -4*f - 2*v = -9*f + 67, 5*v - 35 = -f. Let o(r) = f*r - 47*r + 16*r + 13*r. Calculate 2*c(x) - 9*o(x).\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 12.86. Let m = t - 0.14. Let n = 3.9 + -4. What is the third smallest value in m, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18836.5 and 0.\nAnswer: 18836.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6447, 26028, 79173, 182664, 353283, 607812, 963033, 1435728?\nAnswer: 2042679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-6*(4 + (-68)\/(-16)). Let p be (-3)\/(-4) + v\/(-12). Let g be (-10)\/3*(6 - p). Which is the smallest value? (a) 0.3 (b) 2 (c) -2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 63272075.\nAnswer: 63272077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28260847?\nAnswer: 19, 43, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/15)\/((-15)\/375). Calculate the highest common divisor of 170 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - b - 3*b + 40 = 0, -b = -2*y + 3. Let t be -1*(-3)\/(-2)*-2. What is the second derivative of -t*u**y - 27 - 2*u**4 - 7*u + 27 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(1331)).\nAnswer: -6 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 5*z + 33 = 21*i, 0 = 2*z - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*g = -g, 2*g = 2*u + 12. List the prime factors of (148\/10)\/(u\/(-15)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*k**5 - k**4*m - 16*k**3*m + 4*k**2*m + 34*m + 2 wrt k.\nAnswer: -3300*k**2 - 24*k*m - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383950283 or -383950284?\nAnswer: -383950283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37382 (base 11) to base 7\nAnswer: -312353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*n + 15*n + 2142 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 35 = p + 19, -v + 2*p + 7 = -15 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/12831?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 725.6 and 161617?\nAnswer: 160891.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6027\/4018*(-4)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 214. Let w be (p - 2) + 0 + -7 + 4. Solve w = -2*a - 4*f - 24, 2*a + 5*f + 0*f + 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6758 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)**(-2\/35)*(k\/k**7)\/k**5 assuming k is positive.\nAnswer: k**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 182*27\/(-2457)*21?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u + 25. Let f(k) = 11*k**2 + 5*k + 2. Suppose -40 - 489 = 282*s + 317. Let m(v) = -6*v**2 - 3*v - 1. Determine s*f(b) + u*m(b).\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-18)\/(-15) - 6 - (-28)\/406.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 218 = 16*b - 108. What is the smallest value in 37, 0.01, b?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*r - p, 4*p - 6 = 50*r - 52*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -58, -5, 0 in decreasing order.\nAnswer: 3, 0, -3, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 2}. What is prob of sequence euuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23\/4 (b) 1 (c) 0 (d) 476\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326762118 to the power of 1\/4, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120099 = -4*z + 3*j, -z + 0*j = -2*j - 30026. Suppose -3758 = 46*c - z. List the prime factors of c.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w = 105*w + 98 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51.95 + 1044.45. What is u rounded to the nearest ten?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 18*m - 2. Let l(b) = 14*b**2 + 53*b - 7. Let r(y) = 6*l(y) - 17*z(y). Let q be r(11). Solve 0*t - 11 = q*k - 4*t, 31 = 2*k + 5*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(105)*3)\/sqrt(5))\/(-3*(sqrt(567) + sqrt(567)*1)))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.310658?\nAnswer: -0.310658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oebaaoaeeaeee. Give prob of picking 1 e and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in -5, 2\/17, -26?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 - 188*x - 4290 = 0. Calculate x.\nAnswer: -55, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from wwiawawwaiwaaiwiwi?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 3*a**2 - 3*a - 1. What is l(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, -3, 2\/11, 2\/1283, 0.29?\nAnswer: 2\/1283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((796\/(-719982))\/((-3)\/27)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14550 is divided by 230.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 - 1203812*b + 1203808 = 0.\nAnswer: 1, 300952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -668, -946, -1202, -1424, -1600, -1718, -1766, -1732?\n\"Answer: 2*v**3 - v**2 - 289*v - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(q + q + 0*q)*(2 - 3 - 5).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7964 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1170)\/(-20))\/(1\/6). Suppose -5*w + 214 = -o. What is the remainder when w is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 362448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-4 - 23) - (2 - -4) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -5*k - 2*t, 3*t = 0. Suppose -3*j + 8*j + 45 = 5*n, -j = k*n - 23. Solve -b = -4*o - 7 - 1, 4*o - 3*b = -n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 11:22 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1146 = 3*u, 8*p - 5*p = 2*u + 1693. Suppose -5*w = -c + 4*c - 558, -3*c = 2*w - p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 + 10*b**3 + 712*b - 1419*b + 44 + 710*b.\nAnswer: 18*b**3 + 3*b + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -31 (b) -3 (c) 73 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4548?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 199*g + 2. Let c be z(-2). What is the common denominator of (9\/(-42))\/(3\/16) and 2 + (c\/64)\/1?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*g - 4*h + 13 = 0, -4*g = -4*h + 28. Let j = g - -6. Suppose j*y + 0*y = 78. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381411.\nAnswer: 3, 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*u - 75066 - 1954 - 75869 = 0. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 14*b - 8. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 873*b**2 + 3513*b - 32159. What is r(869)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*w - 2*r + 28, r = -4*w + 19. Which is the nearest to -0.05? (a) 9 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -10. Calculate the common denominator of (-97)\/(-20) + -5 + (-7 - -7) and 2 - 4\/(80\/c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 1 + 0 + 2)*(7 + 19 - 51)*(-q**2 - 3*q + 3*q).\nAnswer: 125*q**3 + 75*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 666*o - 16. Calculate s(-1).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 6, k: 3, a: 5, j: 1, q: 3}. What is prob of sequence aqju?\nAnswer: 5\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17894 + 125256\/7. Let l = -2.1 + 0.1. What is the nearest to -1\/2 in g, -4, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1226, 0.02, -3, 6 in decreasing order.\nAnswer: 1226, 6, 0.02, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.619991604 - -19.62. What is c rounded to 7 decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*3*(-78)\/12. Let z be l\/(-20) + -2 + 9\/4. Solve 0 = -0*w - 2*w - 2*j - z, -2*w = 5*j + 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80641237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (3 - 1)) + (-4 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-62)\/(3844\/186) + 2*8109\/2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + -1 + -1 - (-2 + sqrt(243) + sqrt(243) + sqrt(243) + sqrt(243) + 1 + 5 + 2 + sqrt(243)))**2.\nAnswer: 464*sqrt(3) + 2587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*5 + -3 - sqrt(3) - 5*4*sqrt(3).\nAnswer: -16*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2) + 3 + -5. Let z(h) = -4 + h**2 + 1 - 5*h + u*h + 0*h. List the prime factors of z(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -619895, -1239821, -1859747, -2479673?\nAnswer: -3099599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848567 is divided by 848306?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0*o**2 + 3*o - 3*o**2 - 3*o. Let b(f) = 2*f**2. Let n = 7 - 11. Let g(q) = n*t(q) - 5*b(q). Let p(y) = y**2. What is g(p(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/3 + 433*w**3 - 36973*w**2\/3 + 60575*w - 146050\/3 = 0. What is w?\nAnswer: 1, 5, 23, 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 123, -40, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 8951*n\/5 - 17906\/5.\nAnswer: (n - 8953)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - m. Let j(u) = -23*u**2 + 4*u - 8. Let o(t) = 4*c(t) + j(t). Let q(z) = 4*z**2. Determine o(q(x)).\nAnswer: -176*x**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 14. List the prime factors of ((-12)\/o)\/(2\/35).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 4*o + 4*o)*(-o**3 - 2*o**3 + 0*o**3) to k + s*o**2 + t*o**3 + l*o + v*o**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 92. Let f = 30.988 - a. Round f to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + m)*(345*m - 672*m + 1800*m) in the form g + u*m + n*m**2 and give n.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z + x + 3, 0 = -2*z - 5*x + 20. Suppose i + 2*o + 8 = 0, -5*i + z*o = 2*o. Find the second derivative of -7*m + 4*m**2 - 3*m**i + m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-64))\/1 + 22\/8. Sort -2, 35, s, -1, -3.\nAnswer: -3, -2, -1, s, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145380*v = -145406*v - 572 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2323253?\nAnswer: 2323300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87203.26 kilograms to grams.\nAnswer: 87203260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33 and -0.223.\nAnswer: -33.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 43 = -46040*d + 46038*d, 5*g + 55 = 5*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6421376 (base 9) to base 3.\nAnswer: -20110201102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896*n + 895*n - 14 = -3*y, n - 6 = -2*y. Solve r = -y*a + 2, -a - 9 = 5*r - 0*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d + 21320 = j + 84*d, 5*j + 3*d - 106660 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 100 = 5*x. Let m(l) = 5*l - 40. Let p be m(x). Let j be (7 - -1) + -1 + -3. Solve 0 = j*w + w - p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rlrlr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 - -2.7. What is the smallest value in a, 0.12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*z - 10 - 0, -5*w - 23 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 14 = p, 4*t - 32 = 9*p - 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201200011 + -3?\nAnswer: -201200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9587173 to the nearest integer?\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.192801233 and -6037.6.\nAnswer: -6039.792801233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/6 + j**3\/3 + 2*j**2 - 2*j. Let v be m(3). Let l = v - -29. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1279 - -79094.\nAnswer: 80373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*x - 284*x - 254*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -985*y**2 + 84*y**2 - 754*y**2 to x + r*y + f*y**2 and give f.\nAnswer: -1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17986 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012111201010 (base 3) to base 14.\nAnswer: 4222ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*w + 5102 - 692. What is the smallest common multiple of w and 3332?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4080 + 4158. Calculate the lowest common multiple of 104 and j.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -18*b + 10*b + 4. What is the fourth biggest value in -2\/7, b, 2, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1398, 722, 6 in ascending order.\nAnswer: -1398, 1, 6, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let s(g) = 2*g**2. Let c(r) = -4*b(r) + 3*s(r). Let u(x) = 208 - 403 - x + 208 + 5*x. What is u(c(f))?\nAnswer: -8*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 8*f**2 - 9*f + 11. Let a be -4 - (3 + (32 - 1)). Let l = -31 - a. Calculate the least common multiple of v(-9) and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8*(-14)\/(-24)*-3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:41 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11303.999985125 + 11304. Round q to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291330606.\nAnswer: 2, 3, 7, 67, 103529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*f - 1714 - 6086 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -38334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45238*g*i**2 - 3720*g*i + g - 6*i**2 + 2*i - 1 wrt i.\nAnswer: -90476*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1275*d - 762462. What is k(598)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let d be j(4). Let u(v) be the first derivative of v**3\/3 + 3*v**2 + 4*v - 20. Calculate u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2014830869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -296 in -5, -0.01, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 - 32 = 0. Suppose 5*k - 24 = r. Factor -w + 4 + k*w**2 + 0 + 4*w + 11*w.\nAnswer: 2*(w + 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(-2*r**3 + 3*r**3 + r**3) + 5*r**3 - 4*r**3 - 2*r**3 + 13*r**3 - 13*r**3 - 21*r**3.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2426591 is divided by 808852.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 389649 and 28119.\nAnswer: 4017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(33) + sqrt(33)*-1)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1463760?\nAnswer: -1463760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 2*j. Suppose 0 = 2*n + j*n + 5. Suppose -17*b = 9*b + 52. Does b = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 36.8286?\nAnswer: 36.8286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43886213?\nAnswer: 7, 73, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3\/2521 (b) -0.04 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -12*z - 123. Calculate s(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2 - s. Let b be (-459)\/(-45) + (-1)\/5. Let x = -2 + b. Suppose 5*q + k + x = 3, -5 = 5*q + 5*k. Give m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11755479 and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 73*c + 1986*c**2 - 8*c**3 + 384*c + 4*c**3 - 1988*c**2.\nAnswer: -2*c**3 - 2*c**2 + 311*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - 49*s**2 - 15*s**2)*(2*s**2 + 3*s**2 - 3*s**2).\nAnswer: -138*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 401.4 + -485. Let k = r - -84. Which is the second biggest value? (a) k (b) -4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0096015 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186 + 382. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 147*r - 3. Let x(c) = -440*c + 11. What is -2*x(w) - 7*z(w)?\nAnswer: -149*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7277944, -7277947, -7277950, -7277953?\n\"Answer: -3*k - 7277941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 3*o)*(3*o**2 - 19 + 19) + (-2 + 2 + 2*o)*(-2*o**2 + 2*o**2 + 4*o**2) + 3*o**3 + 1642 + 12*o - 1642.\nAnswer: 14*o**3 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246193887.\nAnswer: 29, 317, 135559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -8. Solve 0 = n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139145584 divided by 1648\nAnswer: -84433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 15189\/(-3318) - (-6)\/14. Which is greater: l or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5376\/300 + -18 - 23\/25. Put 197, -3, -2, q in decreasing order.\nAnswer: 197, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1606, -0.4, -1\/32, -2\/7, 2\/13, -163?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*k + 3, 3*k + 0*s = -3*s - 3. Suppose 5*o = -k*o + 20. Suppose u + 45 = o*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - b = -6, 4*x + b = 16 - 0. Is ((-7)\/(-1))\/(x\/1745) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9490 + 23237. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 < 1499\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -109. Solve -20 = -4*f - k*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 + 10455285*w - 135918198 = 0.\nAnswer: 13, 3485082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 75, 0.3, -77.8, -30, -1\/19?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1266 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/2583 and 33\/859658.\nAnswer: 2220496614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a**3 - 15*a**3 + 323583*a - 323315*a.\nAnswer: 40*a**3 + 268*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -62. Suppose 5*k - 4*z - 2 = -d, -1 = z. Are k and -15\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:29 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s + 5. Let t(i) = -4*i + 4. Let r(y) = -5*j(y) + 6*t(y). Let q(o) = -26*o + 57. Let h(v) = -q(v) - 5*r(v). Differentiate h(f) with respect to f.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v. Let l be r(3). Suppose -3*c = 180 - 198. Calculate the smallest common multiple of 3\/(l\/6)*15 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*w**4 + 47 + 19 - 3907*w - w**2 + 3906*w wrt w?\nAnswer: -504*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Let s be (-1334)\/(-14) - x\/14. What is the greatest common divisor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z*(z*z**(4\/5))\/z*z**(-6)*z**(1\/12)\/z assuming z is positive.\nAnswer: z**(-307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 7.671?\nAnswer: 7.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + r + 1. Let k(w) = -2*w**2 - w. Let a(v) = -5*k(v) - 3*z(v). Let u(j) = -j**2 + 2*j - 2. Determine -2*a(p) + 3*u(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 + -3041855?\nAnswer: -3042028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 2*y**2 - 4*y)*(-7*y**2 - 17303*y + 17303*y - 4) to the form m*y**2 + r + f*y + p*y**3 + l*y**4 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 38*h + 5. Let v be k(-2). Let y = v - -290. Suppose -2*s + 73 = -y. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18102474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32070934 to the nearest integer?\nAnswer: 5663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 36 = 6*m. Let n be (36\/(-6))\/((-6)\/3). Let a(u) = n*u**2 - 15*u - 1 + 0*u**2 + 15*u. Let z(g) = -7*g**2 + 2. What is m*a(y) - 4*z(y)?\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 412152199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292166, 2, 21 in descending order.\nAnswer: 21, 2, -292166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171565 is divided by 542858?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.83359 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.85. Let s = i - 0.06. Let q = -0.01 + s. Round q to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/160 and 163\/120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1037950 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**10\/50400 + l**6\/360 + l**5\/60 + l**2. Let p(y) be the third derivative of m(y). Find the first derivative of p(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*j**3*o**2 - 4*j**3 + 6*j**2 - 5*o**2 with respect to o.\nAnswer: 58*j**3*o - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227728963.\nAnswer: 7, 11, 701, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*z**4 + 2*z**3 - 4*z**2 - 356*z - 5378247 wrt z?\nAnswer: 8*z**3 + 6*z**2 - 8*z - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7686 and 21240.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - z + 4*q + 1 = 0, 0 = 4*q - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 160.7?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 153, 166, 181, 198, 217, 238?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 16 - 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 216 = 9862. Suppose 4*r - 5064 = -4*z, 5*z - z - r - y = 0. Suppose 6*v = z + 3449. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2 - 54.8. Which is the third smallest value? (a) 2\/11 (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + 4*q)*(q + 4*q - 4*q) + 106*q - 37*q**2 - 106*q + 5*q**2 - 2*q**2 - 5*q**2 + (-3*q + 0*q + 6*q)*(2*q + 1 - 1) - q**2 + 2*q**2 + q + 0*q**2.\nAnswer: -30*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1021?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -5*n - 8*h, -33*h + 6 = -n - 31*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**7\/2520 - g**6\/144 + 7*g**5\/120 - g**4\/6 - 2*g. Let p(q) be the third derivative of l(q). List the prime factors of p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 14, 49, 120, 239, 418, 669?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:04 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 183*g - 553. Calculate r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 366, 824, 1466?\nAnswer: 2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 15*z - 8. Let l(a) = -2*a**2 - 34*a + 18. Let n(w) = 9*f(w) + 4*l(w). What is k in n(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5467 and 353864.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyqlxqa. Give prob of sequence fqay.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2882 + 3159. Solve 25 = 42*k + c for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 4. Let s be l(8). Suppose 4*m + s = 0, -20 = -4*v + 8*v + 4*m. Let j(c) = -c**3 + c + 1. Determine j(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -145348, -140300, -135254, -130210, -125168, -120128, -115090?\n\"Answer: -x**2 + 5051*x - 150398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u - u - 2*u)*(0 - 2 - 2) to o + g*u and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*p = -3680 + 2221 - 4261 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4500)\/(-2475)*(-264)\/(-15) + -31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 32593 = 42*w - 39*w, -5*w - 48888 = -3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*d + 1674 = 0, -5*n = -10*n + 3*d + 8363. Let i = n - 576. What are the prime factors of i?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4357 - -2448?\nAnswer: 6805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + sqrt(52)\/(sqrt(20)\/sqrt(5)))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.07 and 0.4.\nAnswer: -6.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125214 is divided by 602.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((-2838)\/344).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6924 + 20374 = 1418*l + 4610 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6204)\/(-252) + (-1)\/2. Let a = p + -143\/6. Factor 0*n + a - 2\/7*n**2.\nAnswer: -2*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 28*j - 1582. Let h = -365 + j. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/832 and -17\/96368.\nAnswer: 5011136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 445*w - 9710. Calculate s(22).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/9) + 3. Suppose 2*d + 12 = 6*d. What is the third derivative of -x**4 + 5*x**3 + r*x**d - x**2 - 5*x**3 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, l: 4, e: 1}. Give prob of sequence llex.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - c - 3. What is the smallest common multiple of b(-3) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 2*o)*(-2 - 2 - 19).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 23*w + 10. Let z(d) = d**2 - 23*d + 11. Let u(l) = -2*i(l) + 3*z(l). Calculate the remainder when 123 is divided by u(25).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29945.28 rounded to 0 dps?\nAnswer: 29945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -2\/11 (c) 0.3 (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202222211120 (base 3) to base 13.\nAnswer: 9915ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + (-18 - -28 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565928221*t**6 - 130377403*t**2.\nAnswer: 67911386520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 591897.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35807, -72, -1, 1, -4, 2.\nAnswer: -35807, -72, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*y = 70, -2*o = y + 40 - 125. What is the remainder when o is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from vhsbhhvhhhbhhbbh?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60 - -172)*120\/14. Suppose 961*u - 4241 = f*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112 times 9?\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1082, -1245, 7.\nAnswer: -1245, 3, 7, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - u**4 + 728389*u**3 + 6*u**2 - 7*u - 1372 wrt u?\nAnswer: -60*u**2 - 24*u + 4370334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + -13 + 5 - (286 - 291)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*n + 46 = 1045*n - 2*c, -3*n - 2*c + 19 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28180244167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z + 1\/6*z**4 - 1\/120*z**6 - z**2 + 1\/2*z**3 + 0 + 1\/60*z**5. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 30128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.16471 centimeters to meters.\nAnswer: 0.9516471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/24 + 13*h**3\/12 - 7*h**2\/2 + 86*h - 20. Let t(m) be the first derivative of x(m). Suppose t(y) = 0. Calculate y.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*h + 248 + 107 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3008, -3, 6, 0 in decreasing order.\nAnswer: 6, 0, -2, -3, -3008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1. Let p(n) = n - 5. Let s(q) = -10*c(q) + 2*p(q). Let j be 1\/(((-2)\/8)\/(5\/(-10))). Let x(v) = 364 + j*v - 364 + 11*v. Give s(x(f)).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:07 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -199, -265, -313, -337, -331?\n\"Answer: w**3 - 85*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-45)\/(-756))\/(6\/(-63)*9).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 4*w**2 - 7*w - 14. What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6736159595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-9) - (0 - 3). Let n = 2 - t. Suppose -d - 2 + 5 = 0. Which is the third biggest value? (a) d (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 4*h - 2. Let b be n(-3). Suppose b + 25 = 4*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 10. Let p = z + -10.44. Let d = 0.06 - p. Which is the closest to 1\/2? (a) d (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/105 - 5603\/(-5). Suppose -y - 374 = -6*u. Find the common denominator of u\/20*(-10)\/15 and 29\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14666*u**3 + 4*u**2 - 26*u - 21. Is x(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - 468\/4)\/(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110100001 (base 2) in base 7?\nAnswer: 11452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2021*x + 882. Let y(o) = 8*o - 1. Let i(b) = a(b) + 5*y(b). Find the first derivative of i(s) wrt s.\nAnswer: -1981","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 12}. Give prob of sequence uuug.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1107)\/(-15) - 1\/(-5). Let z = 74 - l. Let y(v) = -v**2 + 5*v - 2. Let d be y(4). Solve d*u + z = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/24 + j**4\/24 - j**3\/6 + j**2\/2 + 53*j. Let c(p) be the second derivative of g(p). Calculate c(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5*p**4 - 12*p**3 + 47*p**3 - 16*p**3 - 17*p**3 - 23. Find the third derivative of v(j) wrt j.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130589441 < 130589441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 + 45 = 2*z, -2*z + 4*l = -6. Let c(s) = s + 285. Let o be c(0). What is the highest common divisor of o and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/1029*7*4*(-6)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*20\/(-50)*(-6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53499 or 53503?\nAnswer: 53499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 0, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84870 and 3690?\nAnswer: 84870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41500 - 1743079\/42. Find the common denominator of -47\/12 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513790739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + 16. Let c = y - 75. Solve 2*m + 5*g - 12 = 0, -5*m - 5*g + 20 = c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1854726506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190894 by 95447.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2341 is divided by 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/27)\/(6656\/209664).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 + 37 = 2*x, -2*x - 7*b = -3*b - 0*b - 52 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f**2)*(42*f**2 - 2678*f + 2678*f) + (0*f - 4*f + 2*f)*(f**3 - 3*f**3 + 0*f**3).\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 3. Suppose 13*y = 14*y. Let i(t) = 5 - 2*t - 3*t + y*t + 2*t. Let b(f) = -3*i(f) + 5*o(f). Let h(v) = v. Give b(h(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1223863 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/20 - k**4\/12 - k**3\/6 - 2*k. Let f be j(0). What is the units digit of (2 + -1)*(2 + f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*v - 27, -3*q - 2*q = 3*v + 59. Let u = v + 22. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*c - 105 = 177*c. Calculate the greatest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6800 divided by 1994?\nAnswer: -3400\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1846*w**2 - 3*w**3 + 1844*w**2 - 2 + 2*w**3)*(0*w + 5*w - 3*w).\nAnswer: -2*w**4 - 4*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/17)\/i)\/i**(-1\/3))\/(i**(-5\/13))**(-39) assuming i is positive.\nAnswer: i**(-802\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -0.1, 14, -0.164?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 2*u + 13. Suppose 0 = -8*t + 7*t. Let c(v) = -v**2 - 13 + t + 7 - v. Give 13*c(j) + 6*x(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889, 1786, 2685, 3586, 4489, 5394, 6301?\nAnswer: 7210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4692 times -0.59?\nAnswer: 2768.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103416, -103399, -103382, -103365?\nAnswer: -103348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*0 - 0. Let b be (3\/((-9)\/6))\/2. Let q = b - 0. Is i smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*m + 2687*m + 1386*m - 17*m.\nAnswer: 3380*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2287*u**2 + 4*u + 124099 wrt u?\nAnswer: 4574*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9647057 is divided by 349.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1131 = -c, 2*c - 5*i = 1493 + 796. Suppose -2*l + 2*d - 6*d = -736, 5*d + c = 3*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 58. Let d(b) = b. Determine d(x(p)).\nAnswer: -2*p + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12342.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mslgmmgml. What is prob of picking 1 l and 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4 + 4*f**3 + 18*f**2 - 4*f - 16 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 13. Let r be a(-9). Suppose -2*x + 28 = -p + 5*p, -r*x = 2*p - 8. What is the greatest common factor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + -10 + -4 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 30*p - 2. Let f(k) = k - 1. Let v(s) = 3*f(s) - o(s). Suppose c - 1 = -2. Let g be v(c). Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 2*o**2 + 6*o - 1. Suppose -2*v + 4*v - 10 = 0. Suppose 18 = l - 4*r, -5*l - v*r + 2*r = -21. Let q(d) = -d. Give l*q(s) + j(s).\nAnswer: -2*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5606, 5227, 4550, 3551, 2206, 491?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*m**2*o*p + 4*m**2*p**3 - 91*o**2*p**3 - o**2*p**2 wrt p?\nAnswer: 24*m**2 - 546*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 594 and 648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182.5 + -182.54116. Let w = 0.0307 + o. What is w rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o + 450 = 39*o - 5*y, -5*y + 325 = -2*o. Let w be (-62)\/o + (-4)\/10 + 5. Solve -u - 1 = 4*p - 2, 3*p - w*u = 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05365*-6\nAnswer: -0.3219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.049 or -2482.6?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (15 - (-6 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 68234, 0.3 in ascending order.\nAnswer: 0.3, 22, 68234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 374*p**2 + 492*p - 43836. Give k(375).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.248*-3057550\nAnswer: 758272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1975558784 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xajtexexxxjju. Give prob of picking 1 a, 1 j, and 2 e.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 2 - (-10 - 4). Suppose -y = -3*k - 2. Solve 0 = -v - 3*u - 4, k*u = -0 - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15113*p*u**2*z - 3*p*u*z + 14*p*u - 4*p + 12*u*z wrt u.\nAnswer: -30226*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69610 is divided by 161?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - l - 2*l - 2 + 2 + 5*l - 4*l + 0*l - l - 3*l + 3*l + (6*l - 2*l - 2*l)*(-1 + 3 - 1) + 2*l + 0*l + 0*l)*(-9*l - 17 + 17)*(2 + 4 - 4).\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -3 (c) 0.1 (d) 1115 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.18308 nanometers in micrometers?\nAnswer: 0.01618308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0*q**6 + 0*q**2 + 3*q + 0*q**5 + 3\/2*q**3 + 0*q**4 - 5\/21*q**7 + 0. Find the second derivative of x(m) wrt m.\nAnswer: -200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3920619272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3 + 6324*q**2 - 266352*q - 557968 = 0?\nAnswer: -1622, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 60*t + 2. Let q = -183 + 196. Let h(a) = -13*a + 40*a - q*a - 12*a. Give h(j(i)).\nAnswer: 120*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1805 and 50428907.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 31*w**2 + 31*w + 37. Let u be v(32). Let o be (u - (-48)\/(-9))\/(-1)*6. Determine t, given that 0 + 2\/11*t + 6\/11*t**3 + 8\/11*t**o = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 5, 6.\nAnswer: -75, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 g when four letters picked without replacement from {g: 5, i: 8, t: 2, q: 2}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19673 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -18*d**2. Let c = 44 - 31. Suppose -c + 3 = -5*w. Let q(h) = -146 + 146 - h**w. Determine j(q(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -1523*s**6\/30 + 115*s**2 - 1094*s. Differentiate q(j) with respect to j.\nAnswer: -6092*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73062 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/36, -4, 1.3, 2\/7, -6\/559?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 - 61*t + 61. Is v(24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 2 - 3*m + m**2 - 4. Suppose 14 = 5*p - 11. Calculate v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111010 - 1100010111?\nAnswer: -101100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41374183 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 4, m: 3, g: 2}. Give prob of picking 2 m and 1 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11313843 to 5 decimal places.\nAnswer: -0.11314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 1702002?\nAnswer: -1701999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*h**2*t**3 - 3*h**2*t**2 + 9158376*h**2*t - 124380*t**6 wrt t.\nAnswer: -258*h**2 - 14925600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4400 and 4268 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 154*b + 776. Give v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-13)\/130).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:58 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-3)\/(2 + -131)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1240 and -59\/12276.\nAnswer: 122760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*o - 1741*o + 6 = -3*l, 5*l = 2*o - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264057574 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483817, -483818, -483819, -483820, -483821?\nAnswer: -483822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 15*y**2 - 22*y - 6. Let n be s(-16). What is the greatest common factor of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/((-30)\/(-105))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5240310?\nAnswer: 2, 3, 5, 37, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3018306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -499 - -500. Let o(u) = u. Let p(k) = k + 6. Let b be p(-5). Let d(a) = -1 - 3*a + b. Determine r*d(y) + 2*o(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-10200)\/(-36))\/(-10)). Sort s, 0.5, 1.\nAnswer: s, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, g: 4, z: 5}. What is prob of sequence gz?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*21\/7. Is 10 a factor of (-20)\/w - 0\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3878, -7747, -11616?\n\"Answer: -3869*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -7\/151 (c) -65\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -10.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 11*s - 2900. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/124368 and 87\/56.\nAnswer: 870576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + 10*d**2 + 712*d + 25. Let f(j) = -5*j**3 - 16*j**2 - 1067*j - 40. Give -5*f(a) - 8*n(a).\nAnswer: a**3 - 361*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-6))\/(20\/90). Let n be 1 + 4\/2 - m. Suppose -3*h + 14 = 2*f, -n = -2*h - f - 4*f. Is h at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*8\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 24 = -2*i. Let k(v) be the first derivative of -49*v**2\/2 + 11*v + 10. Let l be k(-1). What is the highest common divisor of i and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37668 and 105780?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-9) - (-6844)\/9. Suppose 118*g - 110*g = n. What is the greatest common divisor of g and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716096 divided by 334\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/9 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2057))*-2 + -3)**2*-6 + 0)*2 + -1.\nAnswer: -98845 - 1584*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4766 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1d2c228?\nAnswer: 1d2c22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j - 15. Calculate z(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -463691*o**2 - 488171 wrt o.\nAnswer: -927382*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5265 or -5263?\nAnswer: -5265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 16. What is the lowest common multiple of 3 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - -3. Suppose 0*y - u = 2*y. Let x be (-2 + 6)*(-5)\/y. Which is the third biggest value? (a) x (b) 0 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-264))\/(((-1)\/(-3))\/((-8)\/(-6)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.017 - 36.017. Let c = -0.0284 - 44.7716. Let y = c - x. What is y rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 8*v - 2. Let d(y) = -y**2 - 6*y - 2. Let g(p) = 4*d(p) - 3*h(p). Let z(u) = 2*u**2 + 8. Let x(a) = -4*g(a) - z(a). Calculate x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247)\/(-190) + (-1)\/2 + 0.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 572 (base 12) to base 14\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14410367, 28820735, 43231103?\nAnswer: 57641471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 480 + -472. Solve -p = -b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -3591.2 = 19\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 take away 2577986932866?\nAnswer: -2577986932866.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 99 = 5*p - 112, 2*p - 22 = -4*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 248.3445619508.\nAnswer: 246.3445619508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*14\/(-1225)*-30. Let j(g) = -g**3 - 8*g**2 + 10*g + 5. Let z(c) = -1. Let w(t) = j(t) - z(t). Let q be w(-9). Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 142cc + -2?\nAnswer: 142ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171434\/11 or 15585?\nAnswer: 15585","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1071 and 63972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = 6*t. Suppose -3*n - 7*j - 4 = -2*j, 4 = t*n + j. Suppose -12 = -0*m - 4*m. Solve 0 = -n*w + m*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(12\/(-2))*(5117\/(-14))\/(-43)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r - r - 2 + 2*r. What is the remainder when 9\/(72\/808)*(1 - (0 - 0)) is divided by x(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**4 + 273*r**3 - 69*r**2.\nAnswer: 3*r**2*(r + 23)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 565492 divided by -21\nAnswer: -565492\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 + 443. Factor 0*w + 1\/3*w**f + 0 - 1\/3*w**2 + 0*w**3.\nAnswer: w**2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (46 + (-4 - 10))) + 15 + -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(176\/6) + 1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1519 - 397 + 1070 - 303)*(-3*x**3 + 4*x**3 - 2*x**3) in the form w*x + i + y*x**3 + o*x**2 and give y.\nAnswer: -1889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7136715250?\nAnswer: 2, 5, 7, 83227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8839789.\nAnswer: 7, 73, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 350608 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 21\/6)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + -2 + 5 + sqrt(11) - (2 + sqrt(44))) + -1*(-3 + sqrt(891) + 0)**2.\nAnswer: -899 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 13) to base 10\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 4*b + 5. Calculate the lowest common multiple of z(-2) and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 70736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2470407923 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 12*l**2 - 11*l**2 - 36*l**2 - 4*l + 34*l**2 to h + t*l**2 + i*l and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = c - 4, c - 5*f - 3 - 9 = 0. Let p be (-3)\/((-6)\/4) - 0. Solve -c*t - p = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -7*z. Let n be z\/(-2 + 8\/4 + -1). What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6952847)\/148724 - -1*5\/(-4)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 731*p**2 + 21*p. Let s(j) = -20468*j**2 - 595*j. Give -170*f(h) - 6*s(h).\nAnswer: -1462*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -641.07 + 638. Let k = 0.07 + o. Let l = k - -3.2. Sort 2, -3, l in decreasing order.\nAnswer: 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + z = 2, 2*z = -2*l + 6*z - 8. Which is the fourth smallest value? (a) l (b) 1.9 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 8 = t, 2*t + 0*t - 6 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 529615016?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c + 2 = 0. Solve -s - 1 + 4 = -4*q, -c*s = 5*q + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 20659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 102. Let r be a*(1\/5 - -1). Let d(f) = 6*f + 1 + 5 - f**2 - 9. Calculate d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*p - 13, -5*v - 2*p = 4 + 33. Which is the second smallest value? (a) 3 (b) 0.2 (c) -0.072 (d) v (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9967*h**4 + 289*h**2 + 5*h wrt h?\nAnswer: -239208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/9)\/(7550\/(-8154))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1654345 and -71\/7279118.\nAnswer: 36395590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 10920.9256637.\nAnswer: 10921.9256637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -a. Calculate the common denominator of (-2)\/(-2) - 274\/24 and ((-12)\/(-40) + -1)\/(a\/(-24)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/92 + 1\/23.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 9*u**2 - 54*u - 2. Let a be r(-4). Suppose a*z - 901 - 293 = 0. Let s = 53 + -28. Calculate the remainder when z is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6169138l in millilitres?\nAnswer: 616.9138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 811*r**2 - 1. Let t(i) = -2*i + 2. Determine p(t(n)).\nAnswer: 3244*n**2 - 6488*n + 3243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let r(q) = 4*q - 109. Give t(r(l)).\nAnswer: -32*l**2 + 1744*l - 23762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpp. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25472 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*b + 80*b - 314*b + (2 + 2 - 3)*(b - 2 + b - 6) in the form a*b + x and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13047 divided by -3\nAnswer: 4349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.05 + -19.15. Let q = 3 + -3. Which is the third biggest value? (a) 4 (b) q (c) k (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8513, 17197, 25881?\n\"Answer: 8684*z - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 24 = 4*d. Let u(z) = 3*z + 1. Let t(n) = 9*n + 2. Let v(p) = d*t(p) + 17*u(p). Let q be ((-4)\/10)\/(14\/(-140)). Give v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:08 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*c**4 + 4020*c**3 - 163204*c**2 + 128640*c - 25600.\nAnswer: -(c - 80)**2*(5*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(1\/4)*u))\/u)\/((u**(-1\/2)\/u)\/u))\/(u*u*u**(-1\/4)*u*u**(-2)) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1197*a**2 - 144*a - 56*a + 198*a.\nAnswer: -1197*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let i(t) be the third derivative of -t**6\/60 - t**5\/60 - t**4\/12 - 2*t**3\/3 - 5*t**2. Calculate the remainder when i(p) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -40, -36, -32, -28?\n\"Answer: 4*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617 - 2*i + 2379 - 1762.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(-109 - 39 + 4)*(q + 2 - 2)*(-3*q + 4*q + 2*q) to j*q + w*q**2 + f and give w.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 28, -0.1, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 + 461119*s**2 + 816*s + 496 wrt s?\nAnswer: 12*s + 922238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) -1\/8 (c) 0.5 (d) -19 (e) -2 (f) 13 (g) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - m - 83*m**2 + 28*m**2 + 21*m**2 + 20*m**2.\nAnswer: 5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**2 + 19*j + 35. Let v(w) = 16*w**2 - 20*w - 38. Let y(u) = -3*s(u) - 2*v(u). Give y(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.7. Let b = 8.5 - 9. Let p = r + b. Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 630 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.151754786 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 12*b**2 + 9*b - 20. Let o be t(-11). Let y(d) = 1 - 11 + 5*d + o*d - 9*d. What is y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -125*r**2 - 36*r + 288. Let s be p(12). Is 48 a factor of (0 - 2)\/(63\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-39) + (-12)\/((-312)\/482530) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(260\/24)\/13)\/((-1595)\/1566).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12201813?\nAnswer: 3, 13, 34763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + 8*d - 8*d)*(4*d - 2*d - d)*((-28 + 3*d + 28)*(-3 - 2 + 8) - 5*d + 3*d + d) as r*d**2 + b*d + c*d**4 + f + w*d**3 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/((b\/(b\/b**3)*b)\/b))\/b*b)\/(b**(-8)\/b*b)*(b**(-1\/4))**(-2\/25) assuming b is positive.\nAnswer: b**(351\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -100 + 100 - t. Let r(a) = a. Let x(u) = -2*r(u) - v(u). Let g(q) = q**2 - 2*q + 1. Let w be g(3). Give x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11425, 11427, 11431, 11437, 11445, 11455?\n\"Answer: t**2 - t + 11425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhk when three letters picked without replacement from ccucuucchookohk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2. Suppose 5*d - 13 = -5*y + y, 2*y = -d - 1. Let h be x(d). Let g = -9 + h. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 1:05 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2054 and 295.\nAnswer: -1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000645 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + (56 - 63 - (-114 - -1)) - -14?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Solve 2 = -0*l + k*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382861133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 20, 1, 47 in ascending order.\nAnswer: -2, 1, 5, 20, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + sqrt(204)*-1 + sqrt(204)))\/sqrt(12) - -2*sqrt(612).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (4*1*sqrt(847) + sqrt(847) + sqrt(847))**2.\nAnswer: 30495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**3 - 4*d**2 - 9*d - 44. Give a(-5).\nAnswer: -1849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 255. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2535 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42388967?\nAnswer: 487, 87041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 108*y**3 - 624*y**2 + 1580*y - 846 = 0.\nAnswer: -47, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(45)\/sqrt(3))\/sqrt(5))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 3*g + 3*g + (-3 - 1 + 2)*(-2*g + 0*g - g))*((3 + 0 - 4)*(-2*g + 3*g + g) - 52*g + 46*g - 99*g).\nAnswer: -749*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 18 = -13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 6115171?\nAnswer: -6115174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 2, w: 1, s: 1, x: 1, r: 1}. What is prob of picking 2 g and 1 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 609263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 34*y**2 + 81*y + 107. Let k(n) = n**3 + 34*n**2 + 81*n + 107. Let p(o) = 3*k(o) - 4*m(o). What are the prime factors of p(-32)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -29*r - 547. Give l(-20).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) + 27\/5. Let t = c - 11. What is the third smallest value in -2\/3, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(24\/88) + (3 - 10). Suppose -2*g + 3*m = 11 - 9, 0 = g - 3*m + k. Let 2\/11*r**2 - g + 20\/11*r = 0. What is r?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4582, 4595, 4616, 4645, 4682, 4727, 4780?\nAnswer: 4841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*z - 11*j + 6*j, z - 3*j = -7. Let o be z\/180*3 - (-184)\/(-30). What is the third biggest value in o, -4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*o - 9, 5*w + 7 = w + 3*o. Suppose 0 = q - w*q. Solve 0*z + 2*z + 4 = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1023 - 2?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 142*p**2\/3 - 8125234*p\/3 - 114440.\nAnswer: 2*(p - 57220)*(71*p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 23. Let m be w(-10). Let q be ((-105)\/m)\/((-2)\/6). What is the greatest common factor of q and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25 - 2*r - 28 + 53. Let m(a) = 3 - 3 + 3*a**2. Determine m(p(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 1993 + 1965 - 5945 + 1987.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6721063 <= 6721064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2507*s + 648 - 1752 = -11132 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17086563 is divided by 17086559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 22. Suppose -m*z = -0*z + 210. Let o be -5*((-6)\/z - 1\/(-20)). What is the closest to -2\/5 in o, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 28 = -8. Suppose -5 - j = -2*c. Suppose -2*r = -3*b - 654, -c*b - 868 = -b - 4*r. What is b rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5. Let v = 4 - l. Suppose -v*u - 4*y - 3 = -58, 0 = 5*y - 5. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 72, 337, 946, 2037, 3748, 6217, 9582?\nAnswer: 13981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 + (-33)\/(-6). Solve u*x - 6 = -5*h + x, 0 = 3*x + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1*-2)**2 + sqrt(3) - (sqrt(3) - 2*sqrt(300)).\nAnswer: 12 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(-114)\/(-57).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 288620, 42, 4 in increasing order.\nAnswer: -1.1, 4, 42, 288620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 1 + 1)*(0*f + 0*f + f**2)*(532 - 532 + 3*f).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 88*j + 766. Let n be v(-78). Let t(b) = -161*b**2 + 14. Let c(p) = 54*p**2 - 5. What is n*c(o) - 5*t(o)?\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-35)*(456860\/1293)\/(16\/6).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/4 + 31*y**3\/4 + 249*y**2\/4 + 81*y\/4 - 1701\/2 = 0. Calculate y.\nAnswer: -18, -9, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(3 + (-5 + (sqrt(931) + 3*(sqrt(931) - (sqrt(931) + -2 - sqrt(931))) - sqrt(931)) + sqrt(931))**2 + -2)*2.\nAnswer: -178776 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 5*q + 2*q - 147 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 111000011101100010?\nAnswer: 111000011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*l - 170*l - 124*l - 253*l - 124*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 - 6 = 0. Suppose -3*a + 20 = -2*y - 10, 25 = f*a + 5*y. Suppose 0*q = 4*q - a. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21907229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, p: 13}. Give prob of sequence iiii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/30 (c) 3216 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(104)*4 + 3*sqrt(104)*-1)\/((sqrt(128) - (sqrt(128) + -2*sqrt(128)*3 + sqrt(128) + sqrt(128))) + sqrt(128)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 4 (c) 1\/4 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + sqrt(3) + 5 + sqrt(27)*3)**2*6.\nAnswer: 792*sqrt(3) + 2394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyltytyy. What is prob of picking 4 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + z + z = 7, -4*y + 3*z + 1 = 0. Let d be y\/(-5) - (-184)\/20. Solve -2*l + d = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*v - 33, 0 = 26*v + 9*v - 5*p - 330. Solve -16*m + v*m - 2*q - 41 = 0, 4*q = -2*m - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119*(21\/18 + 11\/(-66))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.21 (c) 125 (d) -0.05 (e) -5 (f) 1\/2 (g) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16*28\/896)\/(2\/4). Let q(y) = 96*y - 2. What is q(l)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72047826 by 18.\nAnswer: -4002657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eegeegl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-8)*(3 - 11) + 33967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -613064?\nAnswer: 613111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -0.3, -23, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.894637 hours in weeks?\nAnswer: 0.035087125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50455 + -50454.7. Let d be 1 + (-2)\/(-4) + -1. Which is the biggest value? (a) -16 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 0.5, -32, 0.\nAnswer: -32, -0.09, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*v - 2*v. Suppose -3*w + 3*d - 3 = 0, 0 = 2*w + d + 4*d + 9. What is the lowest common multiple of v and (27\/3 - -1) + w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/696 and -47\/4?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.104, -4, 2\/11, 1, -2 in increasing order.\nAnswer: -4, -2, 0.104, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-48)*2*(2\/1)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 116828*p**4 - 639*p**3 + 2*p**2 - 2*p + 918696 wrt p.\nAnswer: -60*p**2 + 2803872*p - 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + a + 0*a = 0, -5*c + 2 = 3*a. Let t = 0.736 + -0.336. Suppose 0 = -5*i - 5*n + 15, -5*n + 6 = 2*i + 3. What is the nearest to c in 5, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 13, -5 in ascending order.\nAnswer: -6, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39368 and 7992.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 2. Determine t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 + 664*n + 23200 = 0. What is n?\nAnswer: -116, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/20196 and 25\/231.\nAnswer: 141372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18) - -2)*3\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 211011*f*l**2 - 2228*f - 30 wrt l.\nAnswer: 422022*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-1)*m)))**1\/(m**2\/m**(-2\/3)))**(20\/11) assuming m is positive.\nAnswer: m**(-160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 divided by -113?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r**2 - 23*r**2 - 2 + r**3 - 4*r**3 + 2*r**3 + r. Let h(z) = z**3 - 12*z**2 - 45*z + 2. Let i be h(15). Determine s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -40. Which is the second biggest value? (a) -0.03 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/7 and -1 - (-2)\/(-6)*(-1215)\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/190 - d**4\/19 + 4*d**3\/19 - 8*d**2\/19 - 14*d. Find s, given that x(s) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*n + 3 = -1, 2*c - 21 = -5*n. Let y be ((-4)\/c)\/((-2)\/(-28)). Let x = y + 12. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9911464853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 14. Let i be n(-5). Is i < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695129078.\nAnswer: 2, 3, 67, 457, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3451 and -75\/33292?\nAnswer: 565964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.071787 and -1?\nAnswer: -0.071787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + n = 3, -9*w + 6*w = n - 2. Let y = 0.6 + 0. What is the closest to w in -0.4, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(((-99)\/18)\/(-11))\/(7\/((-1701)\/(-6)))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-6) + 2 + -1. Let y = 1572 + -1574. Let v = -4.94 - 0.06. What is the closest to 5 in y, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3*b. Let w be h(0). Put -15, w, -1, 2 in descending order.\nAnswer: 2, w, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.9 + 12.9. What is the third smallest value in -4, b, -1.2, 4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 37 = -4*s, 4*s + 13 = -2*l + 5*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 4. Let p be a(-7). Let g be p*((-14)\/(-3) - 3). Let u(k) = 6*k + 4. Is u(g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 14 = 4*f, -3*t + 3*f - 4 = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*k - 50 = -418*k. Suppose 4*i - 20 = 2*i - 5*s, -k*s = -10. Solve -5 = 5*a - i*j, 2*a + 2*a + 5*j - 14 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7981 and 2875.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 7, p: 2, l: 3, r: 1}. What is prob of picking 2 l and 1 e?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/14*4\/6. Let h = -477.062 + 478. Let g = 0.062 + h. Which is the nearest to g? (a) 2 (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.911826 minutes?\nAnswer: 534709560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2. Let x be s(0). What is the units digit of (-5)\/(-2)*10 + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306740?\nAnswer: 2, 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62 and 169303.\nAnswer: 10496786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -u - 602, 5*d + 15*u - 17*u = 3010. What are the prime factors of d?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4 + 45*g**3 + 108*g**2 - 12*g - 144 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f + 0*f - 14*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.3862784 rounded to three dps?\nAnswer: -26.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-15)\/x))\/x)\/(x\/(x*x\/(x**(-5\/7)\/x)*x)))**(-28) assuming x is positive.\nAnswer: x**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(-1\/3)))\/(z*z**(1\/2)))\/(z**(-4)*z*z\/z**(1\/4)))\/((z\/z**(-7\/3))\/(z**(2\/3)*z*z))**(-22) assuming z is positive.\nAnswer: z**(181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 + 162. Suppose a*t = 261 + 159. List the prime factors of t.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*l + l, -4*r = 5*l - 24. Let h be 2\/r*4\/(-40). Which is the closest to -1? (a) -10 (b) 1\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 192, 203, 214?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**3 - u**2 - u - 3. Let h(w) = -9*w**3 - w**2 - w - 5. Let z(a) = -3*h(a) + 5*m(a). Suppose 0 = c + 2*c - 6. Calculate z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 260?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.6, -3\/4, 1, -17, 10937, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + -3 + sqrt(448) + sqrt(448) + -1 + -5)*2*-2)**2.\nAnswer: -6144*sqrt(7) + 30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 1 (c) -721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.708472 rounded to three dps?\nAnswer: 0.708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w**2 + w. Let o(q) = 35*q - 65*q + 32*q. Calculate k(o(c)).\nAnswer: 48*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5420820 and 435.\nAnswer: 157203780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from lulunlylunllu.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f + 490. Let x(m) = 28*m - 2950. Calculate 34*l(b) + 6*x(b).\nAnswer: -2*b - 1040","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*((1 + sqrt(1539))*1 + sqrt(1539) + sqrt(1539) + 2 + sqrt(1539) + 1) + 2)*1)**2 + 2.\nAnswer: 7920*sqrt(19) + 616086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 4 = -4*r - 8*l, 5*r - 5*l = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 4. Let q be n(-5). Let c = -363 + 359. Let b be (q - 7)\/(c - -6). Is -9\/5 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -704466763 by -13.\nAnswer: 54189751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 563689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(90)*2)\/sqrt(6))\/(-5*-2*sqrt(5)))**2 - -4*((sqrt(27))**2 + -1 - (sqrt(3) + -1 + sqrt(3))**2*-6))*1.\nAnswer: -96*sqrt(3) + 10403\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Suppose 0 = -3*h + 5*q - 346 + 107, -5*h = -t*q + 394. What is the units digit of h\/(-4) - (-6)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 223 - 4*k + 344 + 382 in the form s + y*k and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 362.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**10)**(-16)\/((a\/a**(-1\/11))\/(a\/a**5)) assuming a is positive.\nAnswer: a**(1176\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-345))\/(38\/5)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z - 4 - 53*z + 295*z - 49*z + 0 - 52*z.\nAnswer: 95*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let q(p) = 10*p + 10*p - 34*p. Give z(q(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-3 + 0 - 3)*(2*f + f - 6*f).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 3529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 9, y: 4}. Give prob of picking 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0 - 1\/60*t**5 + 0*t**4 + 0*t**3 - 68*t**2 + 0*t. Let p(c) = -2*c - 1. Calculate x(p(l)).\nAnswer: -4*l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6209, -12407, -18579, -24719, -30821, -36879?\nAnswer: -42887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604464.\nAnswer: 2, 162779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56091080 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4 - 4)*(4*h + 19*h + 0*h)*(0 + 5*h + 0).\nAnswer: -230*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0622911 rounded to 3 decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 39*j + 9. Let p be d(-25). Let b = -245 + p. What is the highest common factor of 78 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p + 3*p)*(0 + 0 - 3*p**4 + (-1 - 2*p**3 + 1)*(4*p - 5*p + 3*p)) + p**5 - p**5 + p**5.\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9768 - -0.0332. Let h = t + 140.99. Let k = 143.99999943 - h. What is k rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/83 and -41\/10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5459 + 2762?\nAnswer: -2697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7347 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 5, c: 1, w: 9, a: 4}. What is prob of picking 1 w and 2 a?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993648295 to the nearest integer?\nAnswer: 31522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18 + 21)\/((-6)\/(-8)). Let c(s) = 5 + 11 + s**2 - 4*s - 26 + 5. Give c(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/28 and 41\/6156?\nAnswer: 43092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*3*2\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884 and 1360?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - 6*o)*(-4 + 2 + 7)*(-1 - 1 - 1).\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckxfakxkffk. What is prob of sequence afc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45 + 0.05. Suppose 92 = 5*c - 4*m, 4*c + 125*m - 120*m = 8. Is g at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - -78. Suppose 0 = -y*q + 152*q - 51. Calculate the greatest common divisor of q and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.6 times -4076\nAnswer: 96193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798484456?\nAnswer: 2, 7, 11, 727, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 1357?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6617 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-14))\/15*255\/(-90)*(-20)\/1615?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from tttftffffftftttftff?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/11 (c) -23872 (d) 2\/9 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191317 is divided by 296.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 + -11. Is (246\/15)\/(6\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79701 - 79691.52825. Let j = u + -9.47. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26264098 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-16*(-126)\/(-1344))\/((-6)\/(-4)*-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1498686*d**6 + 2*d**2 + 13721*d - 139.\nAnswer: 179842320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*v - 51, 0*h - 3*v = -4*h + 57. Suppose -h*p = -6*p - 354. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -610*q**5 - 17*q**3 - 52*q + 5983. Find the third derivative of p(j) wrt j.\nAnswer: -73200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370231.\nAnswer: 23, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 + 2*g + 6. Let u(i) be the third derivative of 7*i**5\/60 - i**4\/8 - 2*i**3 + 2*i**2 + 359*i. Calculate 5*o(z) + 3*u(z).\nAnswer: z**2 + z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 2*u - 72*u**4 - 1 + 74*u**4 + 0*u - 55*u**4 to s*u**4 + m*u**3 + w*u + i + f*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 18 + 27 - 11*f**2 - 110.\nAnswer: -11*f**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - a - 1. Let i be b(6). Suppose 186 = 5*u + 3*p, 0 = 3*p - 6. Let k = i - u. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -208*o**3 + 65*o**2 - 65*o - 65. Let m(z) = -z**2 + 39*z - 174. Let a be m(34). Let r(y) = 13*y**3 - 4*y**2 + 4*y + 4. Calculate a*g(w) - 65*r(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, y: 1, c: 11, e: 2, l: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from aaaaaaqasq.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26001 and 749.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-118)\/(-12))\/(-1) + (-410)\/(-41). Let o(x) be the second derivative of 0 - 10*x + 1\/2*x**2 + f*x**3. What is o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7588, 15150, 22712, 30274?\n\"Answer: 7562*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (15 - (-3132)\/(-198)) and ((-8)\/6 - -1)*-1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(0*x + 0*x - 2*x**2 + (1 + 2*x - 1)*(-x + 0 + 0)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29692349 - 29692031.0000536. Let o = p - 318. What is o rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 8) to base 13.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 73 = 5*s, 2*s - 4 = 3*j + 10. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -210 (b) -2\/41 (c) 3 (d) -2\/43 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 500\/30 + (1700\/30)\/17. Suppose 0*n = -3*n + 12. Solve -5*b = a, n*b = 5*p - b - 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/10 - 11*p**4\/5 - 6*p**3\/5 + 317*p**2\/5 + 1211*p\/10 + 294\/5 = 0.\nAnswer: -4, -1, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {e: 2, o: 4, r: 2, f: 1, x: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.036 in -2, 2, -150767, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 2*a**3 - 26*a + 130 + 35*a)*(47 - 47 + 14*a).\nAnswer: 28*a**4 + 126*a**2 - 70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g - 4 = -18*g. Let a(s) = 4*s**2 - 2*s - 3. Determine a(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957 is divided by 376?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 7*u = -4*h - 19*u - 20, -141*u = -3*h - 4*u - 548 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1331)*1 + -1 - sqrt(1331) - (-2 + 2*sqrt(1331))) + 6*(sqrt(1331) + -1)*1)**2.\nAnswer: -352*sqrt(11) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1150*c**7\/21 - c**4\/2 + 89*c**3\/6 + 2*c**2 + 3824*c. What is the third derivative of w(x) wrt x?\nAnswer: 138000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -3) + (0 - -450994). What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8047.44077 rounded to the nearest one hundred?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10222102012 (base 3) to base 7\nAnswer: -444203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0\/(-3))\/1. Suppose -2 = -3*z + 7. Is 2 a factor of (z + 2 - -3) + u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 288 = 20*a. What is the least common multiple of a and 104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -79. Let m be (h + 3)\/(4\/20). Solve -m*b - 7 = 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 14*v + l + 7, -l - 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2572?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 5. Let o be b(7). Let h = o + 5. Suppose 0 = -59*d + 60*d - 2, 2*f - 18 = -4*d. Put h, f, 3 in decreasing order.\nAnswer: f, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 531468 divided by 777\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 25*j + 3. What is f(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8313\/607997 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22, 1\/30, -318, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h + 105 = 0. Calculate the remainder when 83 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87201, 4, -3 in ascending order.\nAnswer: -87201, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 1. Let v(o) = -4*o**2 + 8*o. Let w(j) = -5*u(j) + v(j). Suppose 9 = -3*l + 39. Let m be l\/(-4)*4\/2. Give w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**10*u)\/(u*u**(-7)\/u))\/((u**9*u)\/u**(-1\/14)))**(-16\/3) assuming u is positive.\nAnswer: u**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 52*f + 1358. Let d be j(-26). Let m(g) = 5*g**2 - 6*g + 19*g - 13*g**3 - 5 - 8*g. Let q(i) = -7*i**3 + 3*i**2 + 3*i - 3. Determine d*m(l) - 10*q(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -s + 352. Let w = 2 + 6. Solve 0 = -4*n - w - s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63.1 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (5 - -12 - 0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9492*k**2 - 7 + 4731*k**2 + 4757*k**2 + 15*k**4 + 2*k to d*k + z*k**4 + a*k**2 + w + m*k**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - n**2 - 4*n**2 + (6 - 1 - 3)*(n**2 + 0*n**2 - 2*n**2) + 3 - n**2 - 3 + (n**2 + n**2 - 5*n**2)*(-4 + 1 + 2) + 1 + n**2 - 1.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -3.\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 0*z + 2075*z**3.\nAnswer: 2075*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 26. Let i(b) = 5. Let y(a) = -2*h(a) + 11*i(a). What is the units digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 2\/9 (b) -2 (c) 0.1 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*m**3 + 92*m**2 - m?\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*k*v + k + 230446*v + 2304696 wrt v?\nAnswer: 21*k + 230446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -69*p**3 - 15*p - 27. Let f(h) = 35*h**3 + 7*h + 12. Calculate 4*d(i) + 9*f(i).\nAnswer: 39*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.4456mm in micrometers?\nAnswer: 87445.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 14. Let k(u) = -7*u + 7. Let f(x) = 20*x - 21. Let c(h) = p*f(h) + 8*k(h). Differentiate c(d) with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 1039)\/2 - (-1 + 2). Let d = 541 - y. Let l(r) = 89*r**3 - 2*r**2 + 2*r - 1. What is the remainder when l(1) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/9 - 26*d**4\/9 - 38*d**3\/3 - 190*d**2\/9 - 100*d\/9 = 0.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*550\/(-15). Let c = 55 - r. Solve 2*p + 9 - 1 = c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2994\/7 or 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.195042959 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 65, 95, 123, 149?\n\"Answer: -m**2 + 35*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 8*w - 6. Suppose -w*s = -18 + 2. Let b(u) = u**2 - 3*u - 8. What is the units digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6690)\/(-9) - 2\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 530. Suppose -o = 2*o - 2*s + 98, 4*s = 3*o + z. Let n be (o\/(-9))\/(4\/18). Solve 0 = 2*l + l + n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**2 + 3*i - 3. Let v(c) = 1811*c - 5429*c + 92*c**2 + 13 + 1800*c + 1805*c. What is 26*o(g) + 6*v(g)?\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 104, 157, 210, 263, 316?\n\"Answer: 53*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1. Suppose 8 - 14 = 2*f + 4*k, -5*k = 2*f + 7. Let l(d) = -d + 11. Let o(u) = f*l(u) - 3*a(u). Give o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5830)\/(-520))\/(-1 - (-93)\/12). Let k = t + 2\/351. What is the smallest value in -1, k, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934912?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n + 175. Let a be b(-10). Suppose 25304 = a*p - 7696. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*c. Suppose -c*p = -p. What is m in 4\/7*m**2 + 2\/7*m + p + 2\/7*m**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(52122\/(-8670) - -6)\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28250 - 28129. Calculate the remainder when a is divided by 114.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -28, -2\/13 in descending order.\nAnswer: 1, 0, -2\/13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/5)\/((-1980)\/(-550)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420963732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92512 = -16*s - 16*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4496316 = -4*d + 4809976. Suppose 0*t + t = d. Suppose 1873427 + t = -5*s. Round s to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*p**4 + 737*p**3 + 406*p**2 + 69173505 wrt p.\nAnswer: -252*p**3 + 2211*p**2 + 812*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvpqqvvvvpvvvqvq. Give prob of picking 3 q and 1 v.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428*v**5 - 183*v**4 + 411696*v**2?\nAnswer: -25680*v**2 - 4392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*2\/(-6)*204\/(-8). Let g = 1 + x. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2 + 1 + -1)\/12. Let b(t) be the first derivative of 1\/8*t**2 - 1\/16*t**4 - 1\/2*t + 3 + n*t**3. Suppose b(g) = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -40 (b) -25\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -178, -242, -304, -364?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 2*f**2 + 378*f + 1539. Calculate q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**3 - 468925*r**2 + 18751000*r - 187490000 = 0.\nAnswer: 20, 93745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18634227041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25131323035 + -4?\nAnswer: 25131323031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 662535 and 1728.\nAnswer: 127206720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2. Let x(p) = -21*p**2 - 23*p + 12. Let i(j) = -6*d(j) + x(j). Let h be i(-8). Solve 6*v + h*v - 4*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a8 (base 12) in base 15?\nAnswer: d58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*t = -168304, -3*u - 4*t - 78743 = -247039. What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6767285, 6767283, 6767279, 6767273, 6767265, 6767255, 6767243?\n\"Answer: -g**2 + g + 6767285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20211 - 2?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-55)\/20) + (-15)\/(-60).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 5418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 71192260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -186529*l*o**3 - 252372785*l - 135*o**2 wrt o?\nAnswer: -559587*l*o**2 - 270*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:27 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372362 is divided by 685017.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -11 + 7 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 690246 - 363695. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -52332?\nAnswer: 52333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049087311 to five decimal places.\nAnswer: -0.00491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = n + 4*n. Let u = n + 239. Suppose l = -4*l + u. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -208*b + 1356*b - 6888 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 125 - 63 - m**4 - 20*m**3 - 62 - 22*m + 43*m**2 = 0. What is m?\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -3091, -9198, -20761, -39604, -67551?\nAnswer: -106426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161142687?\nAnswer: 3, 17904743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*j**3 + 42*j**2*k**2 - 71*j*k**2 - 4460480*k**2 wrt j.\nAnswer: 48*j**2 + 84*j*k**2 - 71*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*((-72)\/(-504) - (-30019)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1337\/13 - (-12)\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrdd when four letters picked without replacement from {f: 6, d: 5, z: 2, r: 1, h: 3, y: 2}?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62595.\nAnswer: 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.16 and 2939.\nAnswer: 62189.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 61*f - 57*f - 12 = 0, 4*m - 3 = -f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 3*p = 4, -v - 3*p - 20 = 0. Let w be (4\/v)\/(1\/(-58)). Suppose 9*j - 74 = -w. What is the remainder when 13 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v - 9. Suppose l + 3 + 16 = 4*y, -3*l + 2*y - 27 = 0. Let r be z(l). Which is the third biggest value? (a) -2\/13 (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + 4*s - 6*s)*(-4 + 1 + 1) - 2*s + 5*s - s + (4 - 3 + 0)*(-5*s + 11 - 11))*(-24*s - 878 + 1743 - 878).\nAnswer: -24*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*(0 + sqrt(108) + 0) + -4 + (-1*sqrt(108) + sqrt(108))*3*3)*-4)**2.\nAnswer: 11520*sqrt(3) + 389056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + r**2 - 144*r + 416*r + r**2 + 1.\nAnswer: -5*r**2 + 272*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - -10001101?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5936 and 6251896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-184945)\/(-15))\/214. Let y = 14169524\/4173 - s. Let i = y - 3456. Find the common denominator of i and -37\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01441 - 0.06437. Round g to three dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-two fifths of a hour?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 14*m**2 - 5*m - 11. Let n(v) = -3*v - 7. Let s be n(-1). What is the hundreds digit of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -18. Calculate the remainder when x is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7723777 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*a**3 - 86*a**3 - 68*a**3 + (-2*a**2 + 0*a + 0*a)*(a + 2*a - a) + 2*a**2 + 6*a**3 - 3*a**2 + 3*a**2.\nAnswer: -92*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 0*y + 2*y**3 - 2*y to the form s*y**3 + v + n*y**2 + u*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4690 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*c**3*u*w + 2*c**3*u + c*u*w - c*u + 2*u + 2*w wrt c.\nAnswer: 318*c*u*w + 12*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 - 77*l**2 + 812*l + 18275 = 0.\nAnswer: -43, -25\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5152 + 3374. Is c at most -1778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 26*a - 548 - 740 + 897 = 0, 5*b + a = -10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 5. Suppose 5*m - m = 0. Suppose 5 = -x - m*x. Let j be t(x). Solve j = 2*z - 4*z, 4*r - 8 = -3*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/10*p**5 + 0*p**4 + p + 0 - 1\/15*p**6 + 0*p**3 + 0*p**2. Factor j(g).\nAnswer: -2*g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*7*(-15)\/1365*1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*126*49\/(-21). Let a be (-2)\/5 + s\/(-245). Put a, -0.4, 0.2, -24 in increasing order.\nAnswer: -24, -0.4, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 23*g**2 + 20*g + 98. Let k(u) = 27*u**2 + 22*u + 19. Let q be k(-1). Calculate x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 14985926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1641060 and 162.\nAnswer: 1641060","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/44 or 80?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 4*j)*(-j + 0*j + 3*j - 4*j - 2*j + 5*j + (0 - 2 + 4)*(0 - 2*j + 0) + 5*j - j + 13*j + 10 + 4*j - 10).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 10*i**2 - 12*i + 23. List the prime factors of f(-11).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 3*m**3 + 3*m**3)*(-1 - 1 + 1) - 246*m**4 - 219*m + 219*m.\nAnswer: -245*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = -x, 16 = x - 4*x - j. List the prime factors of ((-3)\/x)\/((-5)\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 649586060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*z - 3*l - 3, 2*l = z - 8. Suppose -2*g + 5*n = -232, g + z*n = -49 + 183. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - -666?\nAnswer: 64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 162823334964 and 2?\nAnswer: 162823334962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k = 432 - 2540. Suppose 9*m - k = 292. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 - 128. Let r = -1403\/4 - c. What is the closest to r in 0.1, 0, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 - 122*h + 4. Let f be l(14). Suppose 3*d + 9 = f. What is the remainder when 321 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 7) in base 3?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-372)\/1404 - (-2)\/13.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let s = 4472\/7 + -22388\/35. Are q and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -409, 3\/5, -228, -0.2, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 93651 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -135*m**3 + 5*m**2 - 9*m. Let o(d) = 202*d**3 - 7*d**2 + 13*d. Determine -7*i(f) - 5*o(f).\nAnswer: -65*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.8 - 3.02. Let d = 5.78 - g. What is the closest to 0 in d, 2\/11, 16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:54 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/170916?\nAnswer: -1\/170916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5771 + -5749. Calculate the least common multiple of c and 6146.\nAnswer: 67606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/4, -0.2, 0, -4 in ascending order.\nAnswer: -4, -0.3, -0.2, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k\/(k*k**(-1\/17)*k*k))\/k)\/k))\/k)**40 assuming k is positive.\nAnswer: k**(2680\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*d + 553*d + 42*d - 18*d.\nAnswer: 1012*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -57370. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79873256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -67. Let u = -1631 - -1633. Which is the closest to u? (a) -0.3 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(176)*2)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (75 + (-21 + -2 - -1)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -3, -1\/5 in descending order.\nAnswer: -1\/5, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = c, c - 11 = -3*c - s. What is the second derivative of p - 9*p + 2*p**5 - p + c*p**5 wrt p?\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103227096?\nAnswer: 2, 3, 7, 191, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -5, 0.07, -0.68, 1, 298?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 329831364 to the power of 1\/2, to the nearest integer?\nAnswer: 18161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 18*c + 18. Let a be u(-13). Let z = 249 + a. List the prime factors of z.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6666659*i*q*y**2 + 53*i + 2*q*y**2 + 2781*y**2 wrt q.\nAnswer: 6666659*i*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 4*d - 4. Let y be s(-4). Let v be ((-60)\/y)\/((-1)\/15). Let m be (-3 + 9)*6\/v. Let q(k) = k + 3. Determine q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o. Let t(x) = -2*x**2 - x + 2099. Is t(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*y + 20*y**2 - y**2 - 3*y wrt y.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 + 231. Let g be 0\/(-2) + -2 + 5. Suppose -g*k + r = 5*y, -k - 3 = -5*y - 2*k. Solve m - 6 = 4*m - 4*l, y = -l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 9)*(-11 + 4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -10*z + 5*z. Let d(o) = 39*o**2 + 2*o - 1. Let j be d(1). Calculate the highest common divisor of j and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 153. Suppose -46*x = -k*x + 25. Solve -x*z + 2*t - 28 = 0, t - 3 - 5 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0) + -12 + 23. Let k be ((-4)\/(-6))\/(u\/2037). What is the common denominator of -21\/16 and -1*k\/(-12) + 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + -2 - -7)\/(2\/(-14)). Solve -f = -3*w + 4*m + 13, 20 = -4*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 123 - 61 - 62 + 3*r**2. Let u(q) = -16*q. Give u(k(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/209? (a) 7 (b) -0.1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 0. Let p be (-590)\/(-60) - ((-5)\/13)\/(2082\/(-4511)). Solve h = -2*l - p + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-140)\/(-98))\/5*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/532*196\/147?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 12*h**4 - 424*h**3 + 852*h**2 + 2344*h + 1056 = 0.\nAnswer: -1, -2\/3, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 222 - 219. Calculate the remainder when 59 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647491265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*w**4\/5 + 21824*w**3\/5 + 283454*w**2\/15 + 96888*w\/5 + 29064\/5 = 0. Calculate w.\nAnswer: -3633, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -5. Let t = 10 + y. Suppose 2*v + 0*v - t = 0. Sort v, 0.3, 3 in ascending order.\nAnswer: 0.3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -26*r**3 + r**2 + 2*r + 1. Let l = 7 - 4. Suppose -l*d - 2 - 1 = 0. Is s(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*s - 42 = -89*s. What is the highest common divisor of 154 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*x**3 + (-18*x**3 - 15*x**3 + 9*x**3)*(1 + 0 + 1) to r*x + w*x**2 + p*x**3 + g and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 0.14, -1\/6, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 - 2. Let o(h) = -7*h**3 + 19*h**2 + 20*h - 31. Let y(x) = 6*n(x) + o(x). What are the prime factors of y(7)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v**3 + 10*v**2 - 28. Let i(g) = 36*g**3 - 22*g**2 + 58. Give 5*i(d) + 11*m(d).\nAnswer: -7*d**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -601795 and 5.\nAnswer: -3008975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - 4*u**4 + u**4)*(u + 2 - 2).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*(i**(2\/43)*i)\/i)*i**(2\/11)*i**(15\/2)\/(i*i**(-3\/8)) assuming i is positive.\nAnswer: i**(26527\/3784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.67 - 20.67. Are v and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 203740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.284? (a) -2\/15 (b) -0.01 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 8*b**2 - 7*b + 3. Let x be p(-7). Suppose 391 = 126*l - 109*l. Solve 0*j = 4*j - x*w + l, -2*j - 8 = 2*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1488.35?\nAnswer: -1491.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1785*k**2 - 1674*k**2 - 111*k**2 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74539787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 65*k + 835. Calculate n(-47).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 13. Let b be k(-3). Let o = -572 + 570. Sort o, 11, b in increasing order.\nAnswer: b, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818310 + -27 + (-270)\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2007 - 2185 = 33*i - 4555 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.78, 5\/72, 5, -0.5, 1 in ascending order.\nAnswer: -16.78, -0.5, 5\/72, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1248, 57, 0 in ascending order.\nAnswer: -1248, 0, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -0.657?\nAnswer: 0.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171187, -339881, -508575, -677269, -845963, -1014657?\nAnswer: -1183351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-9))\/(t\/t**(-2\/13)))**(4\/15) assuming t is positive.\nAnswer: t**(-476\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 11*s**2\/2 - 6*s + 2. Let d be p(10). Suppose d*u = -u + 10. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9227070 plus 24614807?\nAnswer: 33841877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -40*u - 100. Which is the closest to u? (a) 0.2 (b) 0.279 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329.9*1.\nAnswer: -329.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 529227 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:47 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + -2 + sqrt(605) + -2 + 0 + -1)**2.\nAnswer: -88*sqrt(5) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 508410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9495924 a multiple of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - (-9 - -12 - (-7 + 5 - -47)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000526464 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/(33 - 1) + 2121\/141.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -336, -1356, -3046, -5400, -8412?\n\"Answer: l**3 - 341*l**2 - 4*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 + i + 17. Let n be w(-8). Solve y - 2 = h - 2*h, 0 = -3*h - n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/9485913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/537 + 27013\/2148. Let g be (-27410)\/(-12)*6\/2696. Let k = g - -14\/337. Calculate the common denominator of j and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1323505 - 5923505 = 0. Let o be ((-6)\/(-12))\/((-1)\/j). Round o to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 14*i**3\/3 - 64*i**2\/3 + 18*i + 12 = 0.\nAnswer: -3\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1304105 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/28 + (82\/8 - 3). Solve 5*w - g = -4*j + 3*j, 0 = 3*j - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2 + 9*z - 18. Let j be l(4). Let i = -100 - j. Round i to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 112665, 225369, 338101, 450867, 563673, 676525, 789429?\n\"Answer: p**3 + 8*p**2 + 112673*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/165165 and 71\/105105.\nAnswer: 1156155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 33*z - 2160 = -19*z. What is the greatest common divisor of 165 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 468, 486, 520, 576, 660, 778, 936?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -27, -59, -125, -237?\n\"Answer: -2*w**3 + w**2 + w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + x**4 - 2*x**4 + 0)*(-6 + 0 + 3).\nAnswer: 3*x**4 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4453525 (base 8) to base 13.\nAnswer: -33115c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-6) + 9 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1013932913 - 6.\nAnswer: -1013932919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 105*q**2 - 2*q - 4*q - 305*q**2 + 96*q**2 + 103*q**2 - 6. Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 8)*6\/3. Suppose -i*n = -8*n + 6. Let w be (8\/4)\/(-1) - 0. Is w >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -12.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -11, 30, 87, 160, 249, 354?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sybyx. Give prob of picking 1 b and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -878, 4 in ascending order.\nAnswer: -878, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11416755023 - 5?\nAnswer: -11416755030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 63, -2, 4 in descending order.\nAnswer: 63, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u + 61*u + 11760 = 0. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/9*-6)\/(-3). Which is greater: c or 0.77?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301970116 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-14)\/8)\/7. Suppose f = -4*v + 2*v - 10*v. Solve 3*s + v*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 + 114 + -5 + -112\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23400)\/4095)\/((4\/49)\/1*(-273)\/234)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - 5\/(-7). Let a = -21 - -29. Suppose -8 = -a*h + 12*h. Sort c, 5, h.\nAnswer: h, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmymmdwdfm. What is prob of picking 1 m and 1 f?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*w - 93*w - 90*w + 29*w to the form u + i*w and give i.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57018 = -6498*v + 6056*v for v.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1 + 2 + 0*c - 2*c. Let x(z) = -7*z + 21. Let l(b) = -6*b + 16. Let v(g) = -4*l(g) + 3*x(g). What is 4*m(d) + 3*v(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, c: 3, v: 1, l: 3, t: 1}. Give prob of sequence tq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149014.48 less than 2?\nAnswer: -149012.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3015 + 15?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5907 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 17*j + 36. Is k(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 + -1.3. Let t = 12 + -10. Let u be -4*t\/(-8)*1. What is the biggest value in u, x, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + 3*t + 7. Let l be i(-6). Let d(j) = -3003*j - 38614. Let q be d(-13). What is the highest common divisor of l and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3208843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/408 and -3\/310?\nAnswer: 63240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 90163*c**2\/7 + 45082*c\/7.\nAnswer: -c*(c + 45082)*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -5.92. Let v = -0.79 + 1.09. Let b(p) = p**2 - 7*p - 7. Let l be b(8). Sort q, v, l in increasing order.\nAnswer: v, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(320) + sqrt(320) - sqrt(320) - sqrt(320)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-22)*((-162)\/675)\/(2\/10)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -3, -878, 3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2. Let l(z) = 1. Let w(p) = -4*l(p) - x(p). Let j(q) = -4*q. What is j(w(o))?\nAnswer: -20*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 5364044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32641 + -32683. Sort d, 0.06, -0.2 in descending order.\nAnswer: 0.06, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.098, -4, 3\/8, -12, -5, 0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (22 - 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19898 + -19723. What is the second smallest value in -2, d, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.35, -2\/11, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-21)\/14*4)\/(-1). Suppose 0 = 10*d - 11*d + 2*c + l, -4*d + 13 = 3*c. Calculate the greatest common divisor of d and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -14477?\nAnswer: -14477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/80 - (2943\/(-108) + 28)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -3468877.\nAnswer: 8\/3468877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 478114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*f + 3 + 2.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7836 + 7923. Suppose 0 = -5*u + 150 - 35. Calculate the remainder when z is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65389881*o**2 - 125418641*o?\nAnswer: -130779762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = 0. Suppose m = -4*g - 2*u - 8, -g = -0*g - 3*u - 5. Suppose 2*o + 4 = 56*y - 61*y, 0 = o + 5*y + 2. Sort 1, -9, o, g.\nAnswer: -9, o, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j**2 + j - 2. Let q be a(-3). Solve 3*h - 2*h = -q*s + 8, s = 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*t**4 - 3*t + 3*t)*(-4 + 10 + 5) as p + d*t**4 + l*t**2 + g*t + z*t**3 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/(-2) - (-29 - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 13 + -3 + -3 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (1 - (-162)\/(-24))\/((-1)\/4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -39\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/28 + 345\/220. Do w and 3\/20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8386.86mg in micrograms?\nAnswer: 8386860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 + 3*y + 4. Suppose -525 = 16*r - 749. What is the smallest common multiple of q(-2) and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 8*t - 11. Let f be n(5). Let v(c) = c**2 - 6*c + 10. Let p be v(f). Suppose 0 = m - 4*u - 19, 5*m + p*u + 1 = 8. Solve -2*q = q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 2*q**2 - 24 - 9 - 83 - 25*q + 6 to the form l*q + z*q**2 + p and give p.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15332 = 1653*t - 53709 + 2921 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869814111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*x - 8, -4*y - 5*x + 5 + 15 = 0. Let n(a) = 2*a**2 - 4*a - 4. Let v be n(3). Solve -3*l + v*l - 1 = y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-48)\/(-32))\/((-6)\/(-32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 32292724*k + 130352502917522 = 0. Calculate k.\nAnswer: 8073181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1394 - -1444.65. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 t when three letters picked without replacement from {j: 1, p: 1, g: 1, n: 3, f: 2, t: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 759505 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*x - 147, -x - 20 = -2*d + 51. Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)\/(f**(-9)*f))\/(f*f*f*f**8)**(-30) assuming f is positive.\nAnswer: f**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/270)\/((-249)\/(-114291)))\/(-1*6\/(-10)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1404\/(-36) + 38)*(-195)\/(-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546 - 521. Let d(p) be the first derivative of -p**4\/4 - 7*p**3\/3 - 2*p**2 - 3*p + 2. Let i be d(-7). Is i != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32\/45 in -2\/13, 5, -0.1, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680281.\nAnswer: 37, 45413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l**2 - 3*l + 22. Let w = -325 + 334. List the prime factors of u(w).\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -727, -1641, -2911, -4531, -6495?\nAnswer: -8797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2. Let b(a) = -14*a + 15*a - 28*a. Calculate c(b(z)).\nAnswer: 2916*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4*f + 36 = -2*t, 5*t + 4*f = 41. Let z(y) = 7 + 0*y + 2*y - 3*y. Calculate the least common multiple of 7 and z(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 + 48380*t**4 + 146458208*t**3 + 1022838208*t**2.\nAnswer: 4*t**2*(t + 7)*(t + 6044)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2114323637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 3*c**2 + 8*c - 8. Let i = 8 + -4. Let z be x(i). Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, 896, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1302 - -2507\/2. Let b(p) = -p**2 + 3*p - 5. Let a be b(2). Find the common denominator of a - (-59)\/12 - -3 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13384478 divided by 2?\nAnswer: -6692239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/24 - 2*r**3\/3 - 3*r**2 + 4*r. Let u(s) be the first derivative of i(s). Differentiate u(m) with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 155 = 185. Solve -3*y - u = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/3960*-20 + 6\/(-11).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/26 - (-655296)\/1109225?\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/126)\/(35\/(-105))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.92 + -0.08. Let n = s - -13.91. Let y = 1.91000099 - n. Round y to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2928, -2935, -2942, -2949, -2956?\n\"Answer: -7*t - 2921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-24)*243\/135?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 41 - 115. Suppose m + 4*b - x = 5, m = -b + 91. What is the remainder when m is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4927*t**3 + 1737*t**3 + 2277*t**3)*(-1 + 0 + 3)*(t - t - t**2).\nAnswer: 1826*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 2\/5, -20\/7, 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -16. Let i be 4\/(-1)*2\/(-8). What is the closest to 3 in i, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 82 = 3*n, -3*i + 21 = n - 8. What is the second derivative of 38*q + 1752 - 1752 + n*q**4 wrt q?\nAnswer: 312*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000637866 rounded to six dps?\nAnswer: 0.000638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Suppose g - 61 = -2*r - 20, -3*g + 5*r + 123 = f. Suppose -k = -g + 8. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/80 - (14\/4 - (-15 - (-34180)\/1760)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20375 + 1711459\/84. Calculate the common denominator of y and 29\/630.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 95 = 7*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1002022002?\nAnswer: 1002021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 15*f + 6*f + 9.\nAnswer: -16*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -5*p + 5*k, 8*p = 5*p - 5*k + 374. Let w be (18\/(-15))\/(p\/80). Which is the closest to -14? (a) -2\/9 (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2078059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864724.\nAnswer: 2, 7, 89, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.06 (b) -3 (c) 3 (d) -1534 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1\/2*d**2 + 1\/6*d**3 + 6*d + 0. Let p be 2\/2 - (-1 + 1). Calculate x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1567 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 48.7406?\nAnswer: 0.487406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 4*a. Suppose v = -4*r + a + 15, 3*r = 5*v - 11. Let q = r - 1. Solve 5*t = -b - 18, -q*b = 4*t - t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*q + 142. Is q\/2*(4 + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(1008) + sqrt(1008) + -1*sqrt(1008) + sqrt(1008) + 0.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113517 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/68 - 75\/(-132)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(2\/11)*n)\/n)\/n)**(42\/5) assuming n is positive.\nAnswer: n**(84\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 13. Suppose -t*y + 22*y - 45 = 0. Calculate the least common multiple of 6 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*q = -2466. Suppose -18*y + q + 11865 = 0. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (12 - 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 15*y - 5. Suppose 28 + 5 = 11*n. Let f(r) = -16*r - 4. Let g(x) = n*f(x) - 4*d(x). Let g(c) = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12960, -25941, -38922, -51903?\n\"Answer: -12981*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -407 (base 10) to base 11\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 142.2. Round h to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -273347\/28 - -9761. Let i = -5279\/1140 + 52\/95. What is the common denominator of i and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 1, -132, 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**4 + l**3 + 4*l**2 - 7*l - 7. Let y(f) = -5*f**4 - f**3 - 2*f**2 + 3*f + 3. Let p(n) = 3*m(n) + 7*y(n). Factor p(g).\nAnswer: -2*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212518509655 - -2.5?\nAnswer: 212518509657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 164 = -3*j + 16, -3*z = -2*j - 113. Let y = -201 - -329. Calculate the remainder when y is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6941008 decades in years?\nAnswer: 6.941008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from jeejmjmjmmesemejejme.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**8\/112 + 18*y**7\/35 + 37*y**6\/40 - 215*y**2 - 1. Factor a(c).\nAnswer: -3*c**3*(c - 37)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*i**3 - 64*i + 3 + 2*i**2 - 134*i + 197*i in the form d*i**2 + a + k*i**3 + h*i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 27*s - 1. Let r be c(-1). Let g = -15 - r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4686038 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(833) - (-1 + sqrt(833))) + 4)*6)**2 - (sqrt(833) + (4 + -2*sqrt(833) + sqrt(833))**2 + 0)*-4.\nAnswer: -196*sqrt(17) + 4357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -49*z**4\/12 + 7*z**2 - 21*z. Let m be t(-7). Let r = m - -4636. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 8*w**2 + 2. Let u be b(8). Let k be 7\/(-2*u\/(-4)). Let i = k + -4. Calculate the highest common divisor of 21 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3 - -3) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from ifyegiy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (3 + -4)) + 1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1)\/(3\/8). Suppose 5*n + 0*n - 5 = w, 3*n - 15 = 3*w. Let r be n + 1 - (2 + -4). Solve -r*j - c = -23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450133234?\nAnswer: 2, 225066617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7)\/x)**(-20)*x*x*x*(x*x*x*(x*x*x**7*x)\/x)\/x*x*x**(-1\/5) assuming x is positive.\nAnswer: x**(318\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 7*w**4\/12 + w. Let r(k) = -2*k**2 - 3*k - 6. Let g(t) = -t**2 - t - 2. Let p(m) = 3*g(m) - r(m). Give p(v(d)).\nAnswer: -49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.575 times 704\nAnswer: 404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3931, 3943, 3969, 4015, 4087, 4191, 4333, 4519?\nAnswer: 4755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1088890*k**2 + k - 7. Let l be z(-3). Round l to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 445*n + 85 = 458*n, 3*z - 6*n = -3*n - 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3\/4, 43?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 26628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*g + 792*g = 27279 + 18518 + 112571 for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -6 + -3 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12031113031 (base 4) to base 2\nAnswer: -110001101010111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**2 + 43*q - 3. What is l(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 161. Let y = -58 + p. Solve 2*g = -3*x + 2, -x + 4*g + 0 - 4 = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -16. Solve -5*g + 0*g + n = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -68. Is -10 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 136627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.2. Let w = -3 - -2.7. Put -1\/4, w, s in ascending order.\nAnswer: w, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2\/5 - 104352*a\/5 - 1674752 = 0?\nAnswer: -80, 26168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -240211414?\nAnswer: -240211413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n + 96. Let v be u(8). Let w = v - -188. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6593*a + 6610*a - 442. Let c be (-1)\/(2 + (-2396)\/1196). Calculate the greatest common divisor of c and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(-3*b + 6*b - 4*b)*(0*b + 0*b - b**3).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6488\/23 - 282. Sort l, 2\/9, 2.\nAnswer: l, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (644\/138)\/((-6)\/9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-5)\/3)*156\/819.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 + 5 = 0. Let s be (-2)\/(-9*(w - -4)). Put s, -2, -1 in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 17*f**2 + 6*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1983141, -3966278, -5949413, -7932546, -9915677, -11898806, -13881933?\n\"Answer: w**2 - 1983140*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/25 - 2\/(-20)*-44?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742257.\nAnswer: 3, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1425 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-57260)\/(-40)*((-10)\/15 - (-296)\/84) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267*k*v + 6145*k + v**4 - 8*v**3 wrt v?\nAnswer: -267*k + 4*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 6, -85538, 1 in descending order.\nAnswer: 6, 4, 1, -1, -85538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 12*s - 35. Let a(t) = 9*t**2 - 19*t + 9. Let o(i) = 5*i**2 - 10*i + 5. Let g(f) = s*o(f) - 4*a(f). Give g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39409 - 39409 - 1725*r)*(0 + 5 - 3)*(-1 + 3 + 0)*(0 - 3*r**2 + 0).\nAnswer: 20700*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*p + 1992 = 0, -5*t - 4*p = -4370 - 5632. Let i = t + -962. What are the prime factors of i?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11.360094 months?\nAnswer: 0.0009466745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o + 3. Let w(d) = 9*d + 2. Let m(z) = 3*t(z) - 5*w(z). Let r(u) = -10*u + 2. Let b(i) = -8*m(i) - 5*r(i). Determine b(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 m when three letters picked without replacement from dbmzdbhbohbh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -26*f + 48794. What are the prime factors of f?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -86688.74?\nAnswer: -86688.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -165. Suppose 54*r - 10 = q*r. Solve -31 = -r*g - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831410 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -663267, -663266, -663265?\n\"Answer: p - 663268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 384 + s - 15 - 4*s + 418.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*p**2 + 78*p**2 - 137*p**2)*(15 - 12 + 7)*(-3 + 0 + 4).\nAnswer: -1820*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11385*b. Let r(c) = 2*c**2. Give r(n(q)).\nAnswer: 259236450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (590\/(-15) + 6)\/((-8)\/12). Calculate the highest common divisor of 325 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*9\/63)\/(10\/7)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449 - -316. Let u = -93 - v. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.1 - -35.1. Which is the nearest to w? (a) -0.5 (b) 0.53 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -223*t**2 + 13*t + 20. Let r be b(-2). Let g = -445 - r. What are the prime factors of g?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 14. Let y be (-3)\/((-22)\/6 - -4). Let k be p(y). Suppose -k*s + 3*s = -6. Calculate the lowest common multiple of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 5 - 3*r - 3\/2*r**2. Calculate p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*z**2 + 254*z + 50*z**2 - 69*z**2 + 51*z**2 - 224*z**2 wrt z.\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 253, 478, 703, 928, 1153?\n\"Answer: 225*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g + 929439 - 2816019 = 0. List the prime factors of g.\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 297476 and -0.18.\nAnswer: -53545.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-2 - 0) + 1 + 85 + -89?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 9*u**2 + u + 12. Let s be n(-9). Suppose -l - s*l = -8. Find z such that 3\/2 + 21\/2*z**l - 15\/2*z - 9\/2*z**3 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -169. Let m = -42 - d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 19. Let k be f(-7). Let p be 4 + (-4 - 2) + k. Suppose p = 10*m - 0*m - 10. Solve -4*s = -m - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18568602 + -5?\nAnswer: -18568607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {u: 1, s: 4, p: 2, k: 3, h: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12312444 (base 5) to base 12.\nAnswer: -59371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -37. Let r(g) = 5*g - 1. Determine r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**2 + 7*x - 17. Let f be k(4). Let o(h) be the third derivative of -5*h**4\/6 - h**3\/6 - 15*h**2. Give o(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/1 - (42 + -48). Suppose 5*i + z = 33. Solve -h - i*n - 40 = 3*h, 16 = -4*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-29880)\/(0 + 4))\/(-14 - -13)?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**3 - 4*s**2 - 2*s + 15. What is r(3)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636967 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 p(x) = -x**3 + 7*x**2 + 12*x - 9. Let h be p(16). Let n = 3611 + h. Suppose -n = -5*k - 5*d, -3*k = 3*d - d - 896. What is k rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -4 + 0 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44201, 44177, 44153, 44129?\nAnswer: 44105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243230884738 - -314?\nAnswer: 243230885052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c - 5*c**2 + 0*c**2 + 3*c - 3*c wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/6, -0.08, 2\/9, 1\/87, 2\/11, -1\/10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foyyyyyyyfgyy. What is prob of picking 1 f, 1 g, and 1 o?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s**2 - 10049661*s - 3*s**2 + 10049664*s + 1073*s**4)*(2 - 4 + 0) as k*s**2 + h*s + n*s**3 + m + t*s**4 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2150 and 1492100.\nAnswer: 1492100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785971*f**2 + 380645*f**2 + 405360*f**2.\nAnswer: 34*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 347*c**2 - 27*c**2 - 34*c**2 as a*c**2 + i*c + x and give a.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 11. Suppose 25 = 6*j - j. Let k be y(j). Suppose -3*g + 8 = -k. Solve -1 = q, 5*u = 3*q - g + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 1113 + 20*p + 374 + 373 + 386 + 8*p to the form z + h*p + a*p**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - (44 + 40)) + 7 + -3 - (-5 - 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24387703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 q, and 1 y when four letters picked without replacement from ymtqyytytqyutwy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 89. Let z(j) = -11*j - 4. Let d be z(1). Let h be b(d). Solve 0 = v - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - sqrt(396)*-6 - sqrt(11))*-3.\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Let y = 0.094 - 0.564. Let n = -0.03 + y. Which is the nearest to -1? (a) n (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 - 5*a**2 + 3*a**2)*(a - 5*a + a) - a**2 + 3*a**2 - a**2 - a**3 to the form b*a**3 + l*a**2 + k*a + j and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84454040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(20) - sqrt(5)*-2*-4 - 2*(sqrt(80) + 2))**2 + (sqrt(270)*-2)\/(sqrt(30)\/(sqrt(40)\/sqrt(8))).\nAnswer: 58*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*g - 20 = 0, -2*o - 2*g + 11 = 3. Which is the closest to 0? (a) o (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*t**2 + 8318*t - 473198 wrt t.\nAnswer: -174*t + 8318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*p - 170, -o + 4*p + 31 = 5*p. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3)\/(c*c**(7\/5)*c)*c**(-8\/11)\/(c\/((c*c**(-10))\/c)))**(-28) assuming c is positive.\nAnswer: c**(17136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-301)\/(-21) - 1\/3. Let k = b + -13. Let z(j) = k + 2 - 3 + 2*j**2. Let v(p) = -19*p**2. Calculate v(z(m)).\nAnswer: -76*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 - 567*i + 18522 = 0.\nAnswer: 42, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-8*n - 13*n - 3*n)*(-1 + 1 + 1) + 232*n - 506*n + 238*n)*(2 - 4 + 1) as x + h*n and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.02 (c) 4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a hour in seconds?\nAnswer: 44100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20750*h - 20750*h - 89*h**2)*(0*h + 0*h + h) + 36*h**3 - 54*h**3 + 30*h**3 to a*h**2 + g*h**3 + s*h + l and give g.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000244 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*y - 3*h, 4*y - 3*h = -189 + 166 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/122 and 85\/305552.\nAnswer: 18638672","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 34*p - 148. Let g be y(4). Let r(t) = 2*t**2 - 21*t + 59. What are the prime factors of r(g)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + 294\/35)*(-5)\/(-22). What is the second smallest value in 1\/3, 1, -2, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 46 + -12 + -4 + 8 + 2 + 10\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2\/13, 2, -11\/14 in increasing order.\nAnswer: -5, -4, -11\/14, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 10*v - 20 = 0. Solve 3*t - 19 = 4*y - 9*y, -v = -4*t - 4*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/((-2)\/(-7)) - -2) + -3. Solve 5*t = -5*v - 10, 4*t + j = -2*v - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/5 - h**3\/2 + h**2 + 6*h. Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = -0*i. Let l(m) = m**3 + 10*m**2 + 8*m - 7. Let f be l(i). Factor f*u**2 + u - u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12430*r + 133 = -12449*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 67 = 3*v, 2*z - 2 = -v + 23. Let s be -7 - 1 - (-92)\/v. Which is the nearest to 2\/9? (a) s (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = j, -j - 24 = -3*l + 2*j. Let a(c) = c**2. Let r(u) = u**3 - 3*u**2 + 5*u**3 - 4*u**3 + 7*u**2. Determine l*a(z) - r(z).\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k. Let a = -13 + 7. Let w = 5 + a. What is the nearest to w in 4, -3\/4, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 7*r + 3)*(1 - 5 + 0)*(2 - 5 + 5 + (-2 + 1 + 12)*(-15 + 21 - 15)) in the form t*r + s and give t.\nAnswer: -2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) -29 (c) 0.8 (d) 1\/601\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106291433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 428 = w, -w + 2*i = 5*i - 428. Suppose 0 = 807*f - 796*f - 33. Suppose -4*u + 410 = -5*p, f*u - w = -u - 4*p. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/14*-7*(-6)\/4. What is p in l*p - 1\/4*p**2 - 1\/2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 438*m**3 - 3*m**2 + 3679*m + 5. Let u(i) = 226*i**3 - i**2 + 1839*i + 3. Let d(x) = 3*j(x) - 5*u(x). Find the second derivative of d(q) wrt q.\nAnswer: 1104*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1414, 2692, 3834, 4846, 5734?\n\"Answer: i**3 - 74*i**2 + 1493*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10466115 and 4110.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0*q**3 + 1\/70*q**5 + 27*q - 2\/21*q**4 + 0 + 0*q**2. Factor t(c).\nAnswer: 2*c**2*(c - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 494 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2 + 12*n + 3 - 4*n - 2. Let v be g(3). Let t = v + -15. What is the remainder when 22 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 - 74*b - 237. What is the lowest common multiple of 81 and k(-6)?\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -177.\nAnswer: 8\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -747598\/7 less than or equal to -106800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9346 + 1.1346. Which is the fourth smallest value? (a) x (b) -7 (c) 3\/2 (d) 2\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12860 rounded to the nearest 100?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 5*o + 14*o to the form n*o + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2054 + 2442 - 2645)*(-4*y + 6*y - 5*y).\nAnswer: -5553*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.084?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5516*j + 2971. Let z(d) = -2753*d - 1485. Let n(f) = -2*a(f) - 5*z(f). Differentiate n(p) with respect to p.\nAnswer: 2733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.95. Let h = -7 - -2. Let s(m) = m + 1. Let g be s(0). Which is the closest to g? (a) h (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6177)\/6)\/(13\/(-26)). Is (-136)\/170 + k*(-11)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-15\/7)\/z*z)**(-17)\/(z**(4\/17)*z*z*(z\/(z**(-3\/10)*z)*z)\/z))**(-2) assuming z is positive.\nAnswer: z**(-40333\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(55 + 1 + -1). Let r be (6\/2)\/(15\/10). Let h be (r\/(-2))\/(1\/a). What is the highest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(-1 + sqrt(13) + -4) + (-5 + -1 + sqrt(13))**2 + sqrt(13) + sqrt(130)\/(2*sqrt(10))).\nAnswer: -114 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854112 by -21.\nAnswer: -40672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 20 = 6*x. Suppose 123 = 31*i - 32. Solve -i*u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1333.98 to the nearest integer.\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, 12, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/265719 and -5\/14674.\nAnswer: 169528722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1786 take away 15.9?\nAnswer: -22.0786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 242802 at most 242801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + (225\/20)\/(-15). What is the third smallest value in -1\/10, -37, n?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 6*n + 3142*n**3.\nAnswer: 3142*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + z. Let p be s(1). Let n(k) = -24*k - 4 + p*k + 2. Is 18 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -8*j + 3*j + 12, 3*a - 18 = -3*j. Suppose 0 = 5*n + j - 33. Let y = n + 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 28. What is the least common multiple of k and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4\/2 - 6861*l**3 - 15677367*l**2\/2 + 15725424*l + 23557248 = 0?\nAnswer: -2288, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2124 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c**2 - 6*c + 13. Let y be g(2). Let z = -56 + y. What is the remainder when 89 is divided by z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/16*2)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*h - 82*h - 349*h - 10692 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 154*i - 6 - 3 - 6 + 23.\nAnswer: 154*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12857, 25695, 38533, 51371, 64209?\n\"Answer: 12838*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -2\/5, 4, -2, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.093401 * -0.4.\nAnswer: -0.0373604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 0)\/(-4 - (-143)\/22). Sort 1, 7.6, z, 3.\nAnswer: 1, z, 3, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -344, -627, -1034, -1571, -2244, -3059?\nAnswer: -4022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30957 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -1*sqrt(121))*-1)\/sqrt(11) + sqrt(33)\/(1*1*sqrt(3)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19115*a*f*m**2 - 4*a*f*m + 5*a + 27*f*m - 272*f + 558*m**2 + 8*m wrt m.\nAnswer: -38230*a*f + 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 27. Let u = -8 - i. Sort 1\/8, 3, u.\nAnswer: 1\/8, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 26*t**2 + t + 2. Let y be r(-5). Let z = 982 - y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1790 and 1790 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**12*v*v**(-4\/5))\/((v*v**23*v)\/(v\/(v**(-22)\/v*v*v))))**47 assuming v is positive.\nAnswer: v**(2397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/48 and 49\/40?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 17. Let m be q(7). What is the units digit of (-3 + 115\/m)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0990984 rounded to three dps?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 842 + -837. Solve -o*j + 21*j + 16 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -308 and 466.\nAnswer: -143528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + (9 - -3))\/(4\/10454) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 5b6a?\nAnswer: -5b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14583, -29159, -43737, -58317?\nAnswer: -72899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35368 is divided by 5742.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z - 14. Let n = z + 7. Solve -4*h - n = 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*94654421\nAnswer: -283963263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -79?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1024 divided by 8\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b**3 - 130*b**3 - 8*b**3.\nAnswer: -234*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -224*g + 10713. What is l(48)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9 + (-4)\/12. Let n = -83 + 105. Solve f + 4*v - n = 0, 0 = 5*f - t*f - 3*v + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - s + 3, -4*a + 3 = s. Suppose 4*h + 3*b + b - 1112 = a, -4*h = -4*b - 1088. Calculate the remainder when h is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*b + b**3 + 34*b - 19*b + 13)*(23 - 11*b - 23) as f*b**4 + z*b**3 + y + m*b + u*b**2 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from nscuspcccunn.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8111168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let s(c) = 9*c**2 + 7*c + 4. Let f(w) = w**2 + w + 1. Let v(a) = 4*f(a) - s(a). Let h(i) = 4*i**2 + 2*i. Determine d*h(u) - 2*v(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.7328735 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2766102046 to the nearest integer?\nAnswer: 52594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143635*g**4 - 458645.\nAnswer: -574540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 58*r - 6. Let s(j) = 2*j**2. Give b(s(f)).\nAnswer: 116*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4858 - 4847. Let a(v) be the second derivative of -c*v - 11\/2*v**2 - 2\/3*v**3 + 0. Differentiate a(f) with respect to f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2. Let d(n) = n**2 - 4*n. Calculate d(h(s)).\nAnswer: 36*s**4 + 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -3, 55, -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:31 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12*-10*2. Suppose j*p = -4 - 1, 23 = 2*n - 3*p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.035 (b) -0.5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 526 - -212. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70663386 to the nearest integer?\nAnswer: 8406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-9)*9\/6. Suppose 7 - 3 = k*t. Let v(y) = 2 + t + y + 5 - 3*y. What is v(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -14*x + 16*x. Let a be ((-6)\/(-15))\/((-3)\/x). Suppose -g - 17 = -4*c, -4 = -a*c - 0*c + 2*g. Solve 3*r + 4 = c*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (20\/3)\/(((-11120)\/288)\/139)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 8*x**2 - 22*x + 818. What are the prime factors of f(19)?\nAnswer: 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 + 6 + 4 + -23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b. Let f = -15 - -21. Let q(u) = 7*u - 2*u - f*u. Calculate d(q(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 13*u**3\/3 + 21*u**2 - 52*u + 1. Let n = -25 - -31. What is the hundreds digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 168.\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 0, -6, 2 in ascending order.\nAnswer: -46, -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3 - 6 - 365*d**2 + 3 + 357*d**2. Let t(b) = -6*b**2. Calculate t(p(f)).\nAnswer: -384*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 16*t**2 + 299*t + 61. What is s(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-56)\/7)\/(-216).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:46 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8364902449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/7 - 27588*x**3\/7 + 1181802*x**2\/7 + 10779152*x\/7 + 22441632\/7 = 0. What is x?\nAnswer: -4, 51, 13751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 38466?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 9627*b**2 + 19225*b - 49. Determine a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (-6 + -5 - -18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 24233 and 22461 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 153665351 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.07 (b) 10 (c) -1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 105384*a**2 - 52721*a**2 - 1 - 52653*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055454.\nAnswer: 2, 1527727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129002.\nAnswer: 2, 1564501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m + 11. Let i be d(8). Let f(l) = 72*l - 38 + 71*l - 156*l. List the prime factors of f(i).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from uqqumqmuduum.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002100021 + 102?\nAnswer: 2002100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x - 5026*x**4 - 542 + 543 - 67*x**2 - 450*x**2 + 90*x**2 wrt x.\nAnswer: -120624*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-42\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97.6 + 363. Let p = g + -265. Which is the nearest to 0.1? (a) -1 (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.5. Let z = 0.055 + -0.325. Let c = z - 1.73. What is the nearest to c in u, -1\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3 - 0) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6a4 (base 13) to base 14\nAnswer: 5c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 18*s - 18*s - 2, -6*v = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -25*r**3 - 2*r**2 - r. Let l be q(-1). Let i(v) = v + 8. Let c be i(-6). Solve 0 = -5*y + 3*a + l, 0 = -4*y - 2*a - c*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17240, -68870, -154934, -275432, -430364?\nAnswer: -619730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1337 and -0.3?\nAnswer: -401.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 5 - -4 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 - -143. Let n be 6844\/(-18) + a\/(-63). Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8 + (-38)\/(-8). Suppose -15 = -x*d - 3. Suppose -u - b - d*b + 8 = 0, 0 = u - b - 23. Solve 0*w + u = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 88, -0.2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-222)\/(-150) + 20\/(-250). Let n(w) be the first derivative of 0*w + 0*w**2 + 0*w**4 + 4\/3*w**3 - b*w**5 + 3. Find the third derivative of n(o) wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*c**3 + 3 - c**3)*(1 + 0 + 1)*(-10 + 0 + 16 + (1 + 5 - 4)*(4 + 2 - 7)).\nAnswer: 8*c**3 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-35)\/15). What is the closest to 0 in -1\/3, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*j**2 + 2*f**2*j + 3035*f**2 - f*j**2 + 15269*j**2 wrt f.\nAnswer: -2*j**2 + 4*j + 6070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**2\/7 + 1671742*l\/7 - 27079596\/7 = 0?\nAnswer: 81\/5, 167158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 - s**3\/3 - s**2\/2 + 10*s. Let y be l(-1). Is -3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + 9*r - 15. Let u be x(-9). Suppose -2*o + 6*o + 8 = 0, -o - u = -5*j. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-15))\/(4*(-4)\/40)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 84963*a + 594766. Give b(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**3*p**3 - 150*n**3 + 5*n**2*p - 14*n*p**3 - 3*p**3 wrt n?\nAnswer: 36*p**3 - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/20 + q**4\/4 + 5*q**3\/6 + q**2\/2 + 27*q. Let x be v(4). Let d = -0.2 + 0.5. What is the closest to -1 in x, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t**2 + 11*t. Let n = -18 - -7. Let l(m) = 9*m**2 + 6*m. Calculate n*l(f) + 6*x(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v + 0*v**2 - 8\/3*v**3 - 16. What is the first derivative of g(s) wrt s?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22412 divided by -781?\nAnswer: 22412\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**7\/420 - m**4\/24 + 4*m**3\/3 + 3. Let k(d) be the third derivative of s(d). What is the first derivative of k(j) wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 divided by -635280?\nAnswer: -13\/13235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = -2*h, 4*w - h - 1 = -2*h. Suppose 2*p - p = w. What are the prime factors of (6 - -6) + 2 + p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-18) + (1 - (-15)\/(-9)). Suppose -9*i = x*i + 36. Calculate the lowest common multiple of i\/5 - ((-415)\/25 - 2) and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*p**2 - 3 + 3.\nAnswer: 435*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2 - (-4)\/2. Suppose 0 = -i*b - 3*b + 3*g + 3, 23 = 5*b + g. Solve t = -0*t + b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqqqqaqaqqaqq. Give prob of picking 1 q and 1 a.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2610 (base 8) to base 16\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1440540*l + 11448. Let m(k) = 1888*k - 15. Give -5*a(g) - 3816*m(g).\nAnswer: -1908*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + r = 13, -p + r + 2*r = -21. Suppose -3*i - 39 = -p*i. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1067 from 0.066.\nAnswer: 0.1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose -3*d = -3*q - 126, k*q - 3*q + 46 = d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 31672267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 10\/(-3))*11628\/340. Let d(k) = -45*k**2 + k + 1. Let q be d(-1). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 212 = -9*g. Let x = 212 + g. Solve -5*h + 2*h = x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 10. Let o be z\/20*10\/(-16). Let d be (16\/(-6) + 2)\/((-7)\/(-42)). Which is the closest to o? (a) d (b) -0.3 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3)\/((-2)\/(-4)). Let m = w + 6. Suppose -x + 2*b + 9 + 3 = 0, 16 = 3*x - m*b. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926 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: Expand (-2*u + 2 - 2)*(-35*u + 20*u - 5 + 14*u).\nAnswer: 2*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 313\/(-5) - (96\/(-30))\/(-8). Let l = d - -108. Calculate the smallest common multiple of l and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1173918115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-32)*-2 + (-6)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpffpffffffffff. Give prob of sequence fppp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 + 152 + 1333*z**2 + 1255*z**2 - 64 in the form s*z + p*z**2 + n and give p.\nAnswer: 2588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60 and 4549160.\nAnswer: 4549100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19867*f**2 + 9599.\nAnswer: 39734*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u. Determine q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232609 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1157457882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 421691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5625010031 to the nearest integer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 54\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/7 - 470604*x**2\/7 + 13830220800*x\/7 + 96973030000.\nAnswer: 4*(x - 58850)**2*(x + 49)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013*x - 786*x = -7718 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 501\/(4\/8*2). Calculate the remainder when c\/12 - (-3)\/(-4) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.68271 months to centuries.\nAnswer: 0.098068925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.1156 (c) 4474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25599 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -946.017177 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153.98 - 154. What is the nearest to -1 in 5, d, 2\/23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c4 + -b?\nAnswer: -6cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 60. Let t be k(6). Let i = 18 - t. Solve 0 = 4*m - 4*g - 0*g + i, -5*m - g - 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24941 or 24939?\nAnswer: 24941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 + 0.05. Let k be (-2)\/9 - (-28)\/45. Let h be (-1)\/2 - 15\/2. What is the second biggest value in j, k, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/20*410\/(-287).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.13, -1, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 12*o + 133. Let j(p) = -p**2 - 3*p + 1. Let q(m) = -5*j(m) - z(m). What is the derivative of q(u) wrt u?\nAnswer: 6*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 497 = 5*y, -3*h = -5*y + 503. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 37*v + 9. Let d be j(12). Let x = -70 - -127. Calculate the highest common factor of d and x.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*h + 45*h. Suppose 3*l + 24716264 - 3326264 = h. What is l rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 * 46160\nAnswer: 1846400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6088387976\/9*f + 3334276\/3*f**2 + 1389674555522\/9 + 2\/9*f**4 + 7304\/9*f**3.\nAnswer: 2*(f + 913)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7927 + 7948. Calculate the remainder when 345 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 5 - 3*b**3 - 2 + b + 0 + 3 + 2 in the form a*b**2 + d*b**3 + z*b**4 + t + f*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 247\/(-13) + (-785)\/(-35). Which is smaller: -3\/8 or u?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 10:57 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 136 (b) -0.1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + (-34 - -24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -2*f - 3, 5*f = -4*s + 32. Suppose 0 = b - s*b + 196. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:04 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 237227088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*o - i - 2*i, 5*o + 4*i - 7 = 0. Suppose 3*u + o*b = 2*u + 33, b = 4*u - 106. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*(-2)\/(-12))\/((-39)\/(-26)). Which is the closest to y? (a) 2\/25 (b) 1 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -s + 11, -3*f - 7 + 1 = -3*s. Suppose 3*c = 4*i - 1, -f*i + i + 6 = 4*c. Let o be c*12*(-16)\/(-24). Solve o = -2*y - 3*v, v = y - 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2838 and 10707.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -18. What is the remainder when (s - -1)*(-172)\/8 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -209765.\nAnswer: -12\/209765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 1061, 2167, 3719?\nAnswer: 5717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 115537, 115438, 115339?\n\"Answer: -99*f + 115636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (82000\/(-12))\/((-2)\/(-6)). Round a to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*(-1)\/2. Let k = 3.03 + -0.03. Let q = 3 - 8. What is the nearest to w in q, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 15*d + 8. Calculate c(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 18 - (1 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 7*l**2 - 3*l. Let v(c) be the third derivative of c**6\/60 - 2*c**5\/15 - c**4\/8 - 198*c**2 - 4*c - 2. Calculate 4*p(h) - 3*v(h).\nAnswer: 2*h**3 - 4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106391, -106775, -107159, -107543, -107927?\n\"Answer: -384*n - 106007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17\/4 (b) -0.5 (c) -48 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**3 - 33*v**2 + 28*v - 9. Let r(n) = n**3 + 8*n**2 - 7*n + 2. Let t(u) = -u - 4. Let a be t(5). Let j(p) = a*r(p) - 2*y(p). Give j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + q**2 + 5*q - 3. Let d be (-82)\/26 + (1\/3)\/((-117)\/(-54)). Let h(l) = -4*l**3 + l**2 + 10*l - 5. What is d*h(k) + 5*w(k)?\nAnswer: 2*k**3 + 2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155738 is divided by 25069.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Let f = -6 - q. Find the common denominator of -11\/2 and (-8)\/f*(-297)\/90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39413.5382 and -2.\nAnswer: 39411.5382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.902924465 to four decimal places.\nAnswer: 15.9029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 4*m. Let j(k) = -16*k**2 + 3*k + 7*k**2 + 8*k**2 - 2*k. Let p be ((-6)\/5)\/((-6)\/15). What is p*t(u) + 12*j(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(1 + 1 + 0)*(2*f + 0*f + f)*(4*f**2 - 22*f + 22*f).\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -879.484909 to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 33 - 11 - (0 + -8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:09 AM?\nAnswer: 308","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - 58. Let x = w - -181\/2. Find c, given that -5\/2*c + x*c**2 + 2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + g + 7, -2*g + 14 = -4*p - 38. Let i(q) = q + 4. Let u(h) = h + 3. Let v(b) = -3*i(b) + 2*u(b). Let y be v(p). Put 0, y, 1 in increasing order.\nAnswer: 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -239751 at most as big as -239747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647661 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -616 or -615?\nAnswer: -615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37206162?\nAnswer: 2, 3, 7, 98429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - f + 4. Let q(o) = -o**2 - 2*o + 3. Let p be (-10)\/3 - (-4)\/(-6). Let g(j) = p*q(j) + 3*r(j). What is the second derivative of g(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2397998.6 + -20.\nAnswer: -2398018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1660 or -1658?\nAnswer: -1660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5938 + 11719. Calculate the highest common divisor of 47 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -29*l**8\/12 - l**5\/5 - l**4\/8 - 2*l**2 - 80. Find the third derivative of r(a) wrt a.\nAnswer: -48720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5383968580 from 0.34.\nAnswer: -5383968579.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - -2233322?\nAnswer: 2300123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.02 + 0.02. Suppose 118*s - 115*s - 9 = 0. Put -4, i, s, -2\/5 in increasing order.\nAnswer: i, -4, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1462\/510 + 4\/30. Solve 3 + 9 = -3*h - r*o, -4*h = o + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820384109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3390264443\/7206 + -470478. What is the common denominator of 35\/12 and r?\nAnswer: 14412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.3. Let m = -5\/5698 + -11381\/17094. What is the closest to 32 in k, 1, m, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.0115042?\nAnswer: -0.1115042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295286.5 millennia in decades?\nAnswer: 29528650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16*(3 - (0 - -2)). Suppose 5*t = 3*n - 1171, 3*t + 1941 = n + 4*n. Let a = n - 388. What is the nearest to a in i, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 5*z**3 + 6*z**3 + 7*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -26*l + 13*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9646 and 520?\nAnswer: 192920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8474199 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*n - 1324 - 1870 = 524 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -35 + 98. Let v = -67 + z. List the prime factors of 277\/3 - (-20)\/v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 - 316*i**2 + 12482*i = 0. What is i?\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289394684?\nAnswer: 2, 433, 167087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 5*a + 37, 0 = -5*h - a + 15. Suppose 2 = -3*j - 4*d - 2, h*d + 4 = -j. Sort j, 5, 2 in increasing order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 9 - 11. Let y be (4*1\/(-2))\/k. Let t(m) = -1600000*m**2 + m + 1. Let h be t(y). Round h to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 + 8 - (17 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/12 + m**2. Let t(o) = 67*o - 7 - 18 + 7. Let w(r) = -671*r + 183. Let l(d) = -61*t(d) - 6*w(d). Calculate l(q(h)).\nAnswer: -122*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -28 + 19 + 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 3*q - 1. Let v(d) = 4*d**2 + 15*d + 6. Let k(p) = 2*t(p) + v(p). Calculate k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -t - 25291, 51*t - 62*t = y - 6244. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 + 3 = 0. Suppose 30 = -i*x + 8*x. What is the second derivative of 16*v - 3*v**5 + 4*v**x + 5*v**5 + 0*v**5 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 14*d + 15. Let m be s(-6). Suppose -m*c + 445 = 2*c. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.6 + -2.4. Let t = -3 + 4. Which is the third smallest value? (a) 0.3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2844157 centuries?\nAnswer: 341.29884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/15 (c) 5.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9123.997 litres in millilitres?\nAnswer: 9123997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 15.324207?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 5, f: 1, d: 2, q: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3153.576 micrometers?\nAnswer: 0.003153576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -14 + 23 + -2 + -1 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose -5*j - 5*q = -f*q - 35, 2*q = 0. Solve -4*n + 3 = -4*y + 7, 3*n = y - j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002941 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o + 1. Suppose -2*m = m - w + 5, -w = -m - 3. What is v(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 597.2, -3?\nAnswer: 597.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 4291581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 + 73*l**3 - 200*l**2 + 68*l = 0.\nAnswer: -17, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 21555380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 - 34.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013661.\nAnswer: 3, 11, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 3*v - 3*v)*(2*v + v - 5*v)*(v**3 - 1 + 1).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmjjmjjmmmj.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, e: 7}. What is prob of picking 3 e and 1 l?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*w - 2*w**2 - 20*w**4 + 6 - 2*w**3 - 42 + 362*w - 179*w as a*w + y*w**4 + m*w**2 + p + g*w**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 934*c + 1857 + 926*c + 524*c**2 - 521*c**2.\nAnswer: 3*(c + 1)*(c + 619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from rgaai?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1478*y**2 - 5*y - 1 + y + 4*y + y. Let z be n(1). Is z\/((-1)\/2*4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4102743706045 and 0.045.\nAnswer: -0.3652743706045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*h + 21316, 4*h = 18*i - 19*i + 5344. Suppose i = 37*o - 3112. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 83*x**2 - 57*x - 2311. Give q(84).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*m + 1\/4*m**5 + 0*m**2 + 0 + 0*m**3 + 3*m**4 = 0. Calculate m.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 204 = 38*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 + 2*q. Let b be g(7). Let l = b + 87. Suppose 4*v = -2*k + k + 159, -l*k - 5*v + 477 = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.827636m in micrometers?\nAnswer: 827636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*o + 19, 29 = 2*m - o + 6*o. Let r be (-2)\/m - 72\/(-399). Is r > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*c - 7 = 0. Let h be c\/(6*(-1)\/(-84)). Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 6) in base 9?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(-2*w + 0*w + 4*w)*(4 - 4 + 3*w).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 14.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/20483, 0.2, 2, 3, -7.\nAnswer: -7, -3, -2\/20483, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2 - 2. Let n be k(2). Let q = 42 + n. What is the remainder when 21 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - ((sqrt(78)*2 + sqrt(78) - sqrt(78))*-4 - sqrt(78)))*-2)\/(sqrt(36)\/((sqrt(12)*1)\/sqrt(2))).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-84)\/12 - 24\/(-4). Let y(q) = -q**3 + q + 1. Let j(u) = -58*u**3 + 5*u + 5. Give a*j(c) + 5*y(c).\nAnswer: 53*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3 - 244*b**2 + 9516*b - 80784 = 0.\nAnswer: 12, 34, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 17*u**2 - 5*u - 7. Let b(c) = -2*c**3 - 18*c**2 - c - 7. Let x(v) = 4*b(v) - 3*p(v). Determine x(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5731842.\nAnswer: 2, 3, 955307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 1 + 1)*(-5 + 17 - 10 + 2*k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 666\/7. Sort -1, w, -0.2 in decreasing order.\nAnswer: w, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117*14996.95\nAnswer: -1754643.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05319 or 0?\nAnswer: 0.05319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1, 1\/4, -0.4.\nAnswer: -1, -0.4, 1\/4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 18310 = -2*p + 18289, 2*s = 2*p + 20 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.866 * -0.1.\nAnswer: -0.7866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -468, -4, -3, 4\/17.\nAnswer: -468, -4, -3, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*c + 4 = 0, 3*v - 3 - 21 = -3*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + 2*v + 32. Let d(w) = -5*w**2 - 4*w - 31. Let t(s) = -3*a(s) - 4*d(s). List the prime factors of t(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-100)\/25 + 17\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -183*s**4\/4 - s**3 - 10*s - 133. What is the third derivative of i(x) wrt x?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 1868*c**2 - 226252*c - 1887876.\nAnswer: -4*(c + 9)*(c + 229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14124109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2448*0.0352\nAnswer: -86.1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 6*g - 72. What are the prime factors of (-1434)\/g + (132\/16)\/11?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085359 times -5?\nAnswer: -0.426795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 4*j = -14*b + 46 - 48, -35*j + 105 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h - 25 + 25)*((-3 - 2 + 3)*(-3*h + 4*h - 3*h) - 2*h + 0 + 0).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 881 = -m + 411. Let w = m + 472. Put 0.08, w, 1\/3, 0.5 in descending order.\nAnswer: w, 0.5, 1\/3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*o - 1, -19 + 25 = 2*f + 4*o. Let j(m) = 6*m**2 - m. Let w be j(f). What is the greatest common factor of w and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 25. Calculate the remainder when 89 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.066 - -5.366. Put c, 129\/8, -2 in decreasing order.\nAnswer: 129\/8, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 6*b**2 - 123*b + 6. Let g(t) = -3*t**3 + 11*t**2 + 247*t - 11. Let p(l) = 6*g(l) + 11*s(l). Find the second derivative of p(q) wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 252, 508, 752, 978, 1180?\n\"Answer: -d**3 + 263*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(25)\/(sqrt(5) + 5*(sqrt(5) - sqrt(5)*2) + sqrt(5)) - ((sqrt(405)*2 + 5)**2 + sqrt(405) + -3)).\nAnswer: 2272*sqrt(5)\/3 + 6556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.73588 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57696\/38464*-3*(-82)\/3\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*2)\/(0 - (-6)\/18). Let s be p*(2\/(-9))\/(1 - 3). What is the fourth smallest value in s, 0.2, 2\/13, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*q + 2, 5*q - 3*s + 5 = -0. Let w be 3\/1 + 70\/(-24). Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29615837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 961255*q - 12496312. Calculate m(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18620004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = l - 7, -124*l + 129*l - 18 = 3*g. Let p(i) = -5*i**2 + 2*i + 3. Determine p(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.86698 millennia?\nAnswer: 38.6698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -1\/36 (b) -188 (c) -6\/11 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, -22, 8, 70, 176?\n\"Answer: 2*t**3 - 2*t**2 + 2*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 - 63132.\nAnswer: -63132.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*z + 33 = 0, -4*f - 4*z + 42 = f. Is (6\/3)\/(f\/633) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208128*l = 208073*l - 3245 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o + 616 + 190 = 32 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-18 - (-4)\/1)) + 3. Suppose 2*x = -22*n + d*n + 1066, 2 = -n. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*n = -7, -5*n + 3*n = 4*y + 2. Let r be ((-24)\/18)\/((-4)\/6). Solve -5*a = 4*m - y, -m + r*a + 3 = -6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349 - -0.051793\nAnswer: -348.948207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102403 (base 5) in base 7?\nAnswer: 106460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 + 2*r - 2. Let m be k(5). Let n be -1 + (-12)\/4 + m. Is (-17)\/((-10)\/n - -2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19036362 - 19036362 - 42*j**2.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(608\/14276) - (-31248)\/395808.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66869*m = 66834*m - 175 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 5*i + 15. Suppose -2*q - b = -i*b - 14, -5*q - 5*b + 45 = 0. Suppose -2*m + 3 = -f, -24*m + 19*m + 30 = 2*f. Solve 4*l = q*l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + -8.4. Let j = a + 23. Let u = 18 - j. What is the nearest to 1 in u, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135011405 (base 6) in base 8?\nAnswer: 12403475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/40)\/(19\/57*-2*27\/18)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5262 + 29445?\nAnswer: 241b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95987*z - 960 = -95955*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.20079 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p = 3 - 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36399 + -10446566\/287. Calculate the common denominator of -70\/3 and k.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.51 + 1.61. What is the closest to w in -5, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 2*c**2 + 277*c + 1 - 276*c + 0 + (9*c + 10*c - c)*(2*c**2 + c**2 - c**2) as f*c**2 + k*c**3 + s*c + i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3233\/4 - 800. Find the common denominator of -35\/18 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1, 4052.8, -2\/11, 1.5 in increasing order.\nAnswer: -1, -2\/11, 3\/5, 1.5, 4052.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4 + 2*r)*(6*r + 33 - 33).\nAnswer: 12*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430*h*l**2 - h*l - 848567*h + 2*l**2 + 33*l wrt l.\nAnswer: -860*h*l - h + 4*l + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 238461?\nAnswer: 1669227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1422.9405 + -0.3.\nAnswer: -1423.2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1694099*b**2*w**2 - 1190*b - 2*w**2 - 14*w wrt b.\nAnswer: -3388198*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -3953065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 1.3. Let n be 539\/1708*(-1)\/(-2). Let h = n + -2\/61. Which is the closest to -0.1? (a) h (b) s (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -201. Calculate the remainder when 106 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 4*n**4)*(3503*n + 3248*n - 7318*n).\nAnswer: -2268*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**4 + 145070 - 145071 + 6*p - 2*p to z*p + g*p**4 + w + k*p**3 + m*p**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(1 + sqrt(700))*5 - (-4*(sqrt(700) + -3) + -3))*4)**2.\nAnswer: -46080*sqrt(7) + 3629824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 496*d - 495*d, -5*d = 5*q + 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = 2*g + 2*x + 224, x = 5*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -26. Suppose 0 = -2*d - 5*a - 8, 3*d + j*a + 12 = d. Let m(s) = s**2 + 7*s - 2. What is the smallest common multiple of 6 and m(d)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-3 - 1 - (29 - 19)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223544.\nAnswer: 2, 3, 7, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*x. Let v(p) = -3*p. Let d(b) = 1. Let l(m) = x*d(m) - v(m). Let i be l(4). Solve z - i = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -246, 18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 425913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:46 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1738\/237*39\/(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f677 + 4b?\nAnswer: 2f6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:06 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41866 (base 9) to base 13.\nAnswer: -c7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 n when three letters picked without replacement from nvgonnoonnxoxggn.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1157139 and 1126887?\nAnswer: 172413711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941428 times -2?\nAnswer: -3882856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**4 + 7*n - 14*n + 20 - n**2 - 19 as y*n**3 + i + k*n + q*n**4 + l*n**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 27. Suppose -19 = 7*m + d. Let r = 3 - 2.6. Which is the nearest to 1? (a) m (b) -1\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 8) to base 14.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4 and -143\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11408 by 1.\nAnswer: -11408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -405, -547, -767, -1077, -1489, -2015, -2667?\nAnswer: -3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*h + 309*h + 14*h)*((1 + 3 - 3)*(h + 1 - 1) + (-h - 1 + 1)*(0 + 2 - 3)).\nAnswer: 522*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -314 + -3?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) -1 (c) 395 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -22*59615\/(-20) + (1 - (-15)\/(-10))?\nAnswer: 2, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7083735?\nAnswer: 3, 5, 472249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -74800 divided by -10?\nAnswer: 7480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -18855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/8)\/((c*c**(-2\/5))\/c*c)*(c*c**(-6)*c)\/(c*c**(-1\/2)) assuming c is positive.\nAnswer: c**(-209\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/20 - 47\/20. Suppose -z = -4*z + 4*y - 10, 0 = -2*z + 5*y - 9. Which is the closest to -2\/9? (a) z (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/150 and 125\/24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 838\/4 - (15 + 186\/(-12)). Calculate the greatest common divisor of 735 and c.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4583738.\nAnswer: 2, 67, 79, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = 4*x, 160*o + x - 5 = 162*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -37 - -2*(-3)\/(-3). Let s = v + 71. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**32\/w)*w)**(-1\/4)\/(w**33\/(w\/w**(-26))) assuming w is positive.\nAnswer: w**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/9 - 7 - (-3)\/9. Solve h*v + 8 = -5*m, 0*v + 4*v + 4*m + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/40 + 5*k**4\/6 + 32*k**3\/3 + 64*k**2 - 37*k - 10. Solve m(x) = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -552 by 381597.\nAnswer: -184\/127199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 404112 = 29*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -30. Let j be -2*(3 + l\/(-5)). Which is the closest to j? (a) -2\/13 (b) 0 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 1*sqrt(2448)*2 - 2*(sqrt(2448) - (sqrt(2448) + -1)).\nAnswer: -2 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -191*w. Let r(f) = 6*f + 7. Let s(a) = -2*a - 2. Suppose 15*q - 20 = 5*q. Let h(y) = q*r(y) + 7*s(y). What is h(l(m))?\nAnswer: 382*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 552*h**2. Let r(c) = -7*c. Give i(r(y)).\nAnswer: 27048*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.07 (b) -5 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(7\/((-21)\/(-12)))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 2*d - 1. Let x(c) = -11*c**2 + 5*c + 3. Let n = -46 + 53. What is n*l(q) + 3*x(q)?\nAnswer: 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(190)*-5 - (sqrt(190) + 6*sqrt(190)*4 + sqrt(190)))\/((sqrt(3000) + sqrt(30) + sqrt(30))\/sqrt(3) + (sqrt(1000) - (sqrt(1000)*2 + sqrt(1000)))).\nAnswer: 31*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-4)*c*c*(((c**(1\/3)*c)\/c)\/c)\/c*c*c*c**(-1\/10)*c**(-2) assuming c is positive.\nAnswer: c**(-83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 700\/1198067?\nAnswer: 700\/1198067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-24))\/((-6)\/(-4) + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4\/7 (c) 0.3 (d) -0.5 (e) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.69 + 0.51. Let f = 2.2 - k. Which is the closest to 1? (a) f (b) -0.4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/80 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*s + 21, 6*k - k = -4*s + 34. Is -2 + -2*(-183)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -16*y + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i. Let n(z) = -26*z. Let o(b) = 3*n(b) + 16*x(b). Let d(l) = 5*l. Give o(d(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5787 and 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76590 and 6624?\nAnswer: 1225440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 29, 1289, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -729.1 + 729.5. Which is the second biggest value? (a) -2768 (b) -1\/8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0 - -15) + (-13 - -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 6) to base 7\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + (35 - 37) + -1 + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357968 divided by -6884.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 25*z + 81. Determine i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*x - 36. Let v(i) = i**2 + 5*i + 5. Let u be v(-3). Let k be 4*-21*u\/x. Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4603, 18403, 41401, 73597, 114991, 165583, 225373?\n\"Answer: 4599*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28343378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26030?\nAnswer: 2, 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 13*m + 40, -2*m - 417 = h - 406 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 20. Solve -20 = j*w + 2*k, 2*w - w + 3*k = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19676 and 3.\nAnswer: -19673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 14 = -5*w, 4*w + 19 = 4*a - 5. Suppose -2*s + a = -5*l, 4*l + 3*s - 4*s + 7 = 0. Sort 1, 5, l in decreasing order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - v - 3*v + 8*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 4*a**2 - 1 - 15*a**2 + 33*a**2 as x + r*a + u*a**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422 a factor of 262071529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213358*l**4 - 131*l**3 + 2*l + 28543086 wrt l.\nAnswer: 853432*l**3 - 393*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 97, 127, 139, 127, 85, 7, -113?\n\"Answer: -j**3 + 49*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*i - 0*i. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -124, -187, -250, -313, -376?\n\"Answer: -63*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(71 - 98*q - 71)*(-q**4 + 4*q**3 - 4*q**3).\nAnswer: 196*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.0346, 1, 0.08 in decreasing order.\nAnswer: 1, 0.08, -0.0346, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -637 - -661. Solve -l*b = -28*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p\/((p*p\/p**19)\/p))\/p))**(-34)\/(p\/((p*p*p**(-23))\/p))**3 assuming p is positive.\nAnswer: p**543","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/((-2)\/4*-4). Suppose -4 = -n*o + 5*o. Let u(b) = 3 - 5*b + 3*b**2 - 15*b + 25*b. Determine u(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 59 (c) 2.8 (d) -24701 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2 - 394*d - 2. Let l be u(36). Solve -l = -15*p - 40 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-700))\/((-9)\/(-15))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11996863 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*-92 + 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.065847 months?\nAnswer: 0.000548725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*i + 22 = 87*i + 81*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97907021335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652 + 70*u - 74*u - 2673.\nAnswer: -4*u - 3325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 8*q**2 + 10*q - 17. Let d be f(7). Solve -d*n + 7 + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from ojqqqojqooqqqoooojo?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/6*1\/7. Let h = 422549\/3540 + -187\/708. Let f = -119 + h. Sort p, 1, f in decreasing order.\nAnswer: 1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 25760300.\nAnswer: 1\/5152060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 13. Suppose 4*j = -2*j + 60. Let c be p(j). Is 17*1*3\/c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7256649773418 - -4?\nAnswer: 7256649773422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 26, -1, 0.4, -18 in descending order.\nAnswer: 26, 0.4, 0.2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -3109, 166 in descending order.\nAnswer: 166, 4, 3, -3109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1012*q**2 - 12333*q - 46080.\nAnswer: (q - 15)*(q + 3)*(q + 1024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3021 - 0?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3 + 7*h**2\/2 + 2*h. Let y(z) = -4*z + 5. Let n = -3 + 5. Let j = 3 + n. Give j*l(i) - 7*y(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 - 40*m**4 - 448*m**3 - 536*m**2 + 1020*m = 0 for m.\nAnswer: -5, -3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(((-6)\/30)\/(3\/30)). Put 4, -34, -48, s in descending order.\nAnswer: 4, s, -34, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 986\/(-261) + (-4)\/18. Let l be 2\/(-7) - (v + (-36)\/28). Solve -5*f + 3*u = -f - 3, -3*f = 5*u + l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1296*y**3 - 3*y + 2. Let z(x) = 2602*x**3 - 5*x + 3. Give 5*u(v) - 3*z(v).\nAnswer: -1326*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16174 - 145565\/9. Let c = -6 - -8. Let h = c - 3. Sort 19, v, h in decreasing order.\nAnswer: 19, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -58*r**2 - 2*r - 1. Let a be w(-1). Let p = a - -122. Let s = -3479 + 3505. What is the highest common factor of p and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 64 = 8*s. Let w = -14 - s. Solve 0*c + w*c = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(10\/9)\/d)\/d**(-23) assuming d is positive.\nAnswer: d**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from wwnwwn.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 45 = x + 4*x, -5*f - x = -69. Suppose -f = 8*u - 5. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**10*s*s))\/s**(-2\/23))\/((s\/(s*(s\/s**19)\/s))\/s*s**(4\/5)) assuming s is positive.\nAnswer: s**(-3532\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111120211 (base 3) in base 10?\nAnswer: 620077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751428 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 + 2 + -1. Let c(m) = 4*m + 3 - z - 3. Let i = -45 + 50. Calculate c(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*h = 298 - 136 - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4323 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q*r**5 + 48*q*r**3 - 3*q*r + 5626*q + 3*r**3 + 2*r**2 wrt r?\nAnswer: 60*q*r**2 + 288*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 16*k**2 - 73*k - 10. Calculate the remainder when 177 is divided by u(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = 3. Let d be (-2 + 0)*(-1)\/o. Suppose 1\/4*h**4 + 0 + d*h**3 - 1\/4*h - 1\/4*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -17. What is the remainder when a is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**4\/3 + 1055560*k**3\/3 - 753977*k**2\/3 - 100530*k = 0. Calculate k.\nAnswer: -150795, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147053\/15 + -9798. Let g = 14547\/5 - 2897. Find the common denominator of n and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 1, s: 5, q: 3, a: 3, w: 1}. Give prob of picking 1 n, 1 s, and 1 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = -z. Let u(a) = a**2 - 7*a - 12. Let c be u(z). Let i = c - -16. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 = -8. Let h be (-2)\/(8\/(-68)) + o. Does 5 divide h\/(-110) + 114\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/5 (b) -2\/11 (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74467.\nAnswer: 113, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33113*p + 33113*p + 1480*p**3)*(5 - 3 - 1)*(3*p - 4*p + 0*p)*(3 - 9 - 4).\nAnswer: 14800*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2540.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18478*b**2*z + b*z**2 + 17836*z**2 wrt b?\nAnswer: -36956*b*z + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 3568 = 8*f - 1328. Suppose 5*i + 14 + 11 = 0. Is (-3)\/i - 179584\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v + 7\/60*v**5 + 0*v**3 + 0 - 1\/40*v**6 - 17*v**2 + 0*v**4. What is the third derivative of j(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 2. Let v be r(-6). Let y be 2\/v + 39\/45. Let n = 11 - 87\/8. Sort -0.3, n, y in descending order.\nAnswer: y, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1766154936?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of (-34425)\/(-10) + (-1)\/(-2) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*u - 15, -3*g = 2*u + 2*u + 13. Which is the second smallest value? (a) g (b) 1 (c) -3\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/63*765\/595.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6037.2 + -0.0976853\nAnswer: -6037.2976853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 869651 - 869651 + 8988*r to the form m + i*r and give i.\nAnswer: 8988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + (1 + sqrt(180)*-1 + sqrt(180))*-6*3 + 5))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6020789 to the nearest integer?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:17 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045182 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -84. Let t = 79 - a. Let k = 25 + t. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5206?\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2041546.54 rounded to the nearest one hundred?\nAnswer: -2041500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = 3. What is the units digit of (v\/1)\/(2\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54, -2\/9, 8, -2, 1\/5, 2\/9, 30?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828 (base 9) to base 6.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*z + 46 = 96, 0 = 3*h + 2*z - 30. Let l(o) = 3*o - 23. Calculate l(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.785 - -1.785. Sort 2\/55, 0.2, -3\/7, -0.5, s.\nAnswer: s, -0.5, -3\/7, 2\/55, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/21 and (-35)\/(-504)*(-429)\/(-3344).\nAnswer: 51072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281468 divided by 476?\nAnswer: -4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192.5 - -193. Let q = -22.1 + 22. What is the nearest to q in 2, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/4, 0.8, 3\/5 in decreasing order.\nAnswer: 0.8, 3\/5, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 26. Let h(f) be the second derivative of -5*f**3\/6 + 5*f. Calculate the least common multiple of n(-11) and h(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:05 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 - ((-285)\/(-75) + -20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6*w - 80. Let n = 6 + -4. Suppose n*s - 16 = -m - m, -3*s + 2*m + 34 = 0. Calculate the greatest common factor of s and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12310 and -0.5.\nAnswer: -6155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m. Let g be 35\/(-20)*(-5 + 1). Let n(x) = -2*x + 3*x**2 + g*x - 2*x - x**4 - 3 + 2. Let p(r) = 3*i(r) + n(r). Differentiate p(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i + 52. Determine l(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 351.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.247 - -0.0888\nAnswer: 1.3358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10707759 - 4*z**2 - 10707759.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450) + -4)*3 + -2*sqrt(450)*5)**2.\nAnswer: 1440*sqrt(2) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 77\/7 - (-1)\/(1\/5). Let v(b) = b**2 - 17*b + 18. Let d be v(j). What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 11. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003207179 to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -52953692*b. Let l(c) = -2*c. Give h(l(n)).\nAnswer: 105907384*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = r + 92, -2*n - 3*r + 108 = 2*n. Let y = 51 - n. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/2 (c) -1\/2 (d) 3\/2 (e) 148964 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.7 - -6. Let x = 13 - 16. Put c, x, 0 in decreasing order.\nAnswer: c, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3 - 15 + 377*a**2 + a + 7 as j + s*a**2 + b*a and give s.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 5*g + 10. Factor -a**2 - 12 + 3*a**g + 87*a - 85*a.\nAnswer: 2*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1050)\/28)\/75)\/(2195\/(-550) + 4) - 5\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.000686mg?\nAnswer: 6000.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61058 and 0.01.\nAnswer: -610.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*x - 21*x**2 + 132*x.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 - -184 - (2 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -168, -192, -218?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 7. Suppose o - 2*p - 7 = -4*p, 0 = -3*o - t*p + 19. Let w(q) = -11 - o*q**2 + 11. Let m(r) = -r**2. Determine w(m(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 3\/5 (c) 4\/9 (d) 1\/8 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9006179?\nAnswer: 7, 13, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.05 - 0.05. Let v be (-1)\/(-6)*(-3)\/2. Which is the closest to -0.1? (a) x (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3063*j + 3061*j = -3*u - 2314, 0 = 5*j + 3*u - 5701. Is 84 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 1, 273, 2.\nAnswer: -7, 1, 2, 5, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/165 and 109\/1529040.\nAnswer: 16819440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5620*g**3 + 11560*g**3 - 5900*g**3.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/120 and -65\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**2 + 16*j - 3*j**2 + 3*j**2 + 8*j**2. Let u(x) = -3*x**2 + 5*x + 5. Let n(a) = 2*a**2 - 3*a - 3. Let f(z) = 5*n(z) + 3*u(z). What is f(t(q))?\nAnswer: 4*q**4 - 64*q**3 + 256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 12573478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 8*i**2 + 10*i - 8. Let y be -3 - (-2)\/((-8)\/(-44)). What is the remainder when b(y) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1336575593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -3731 - 5599. Suppose d - 162 = i. Does 46 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2195063*t + 11 - 11 + 1097530*t + 1097495*t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 24 = -20*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8269766*i**3*u**2 - 2*i**3*u + 155389*i**3 + i*u - 7*u wrt u?\nAnswer: 16539532*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103626 and 912?\nAnswer: 829008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(882) + 0 + sqrt(882) - 2*sqrt(882)*3.\nAnswer: -84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*a**3*j + 24*a**3 + 3*a**2 - a*j**2 - a*j wrt j.\nAnswer: 62*a**3 - 2*a*j - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 - 3931520*b + 966053094400 = 0. Calculate b.\nAnswer: 491440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 361*u**4\/4 + 409*u**3\/6 + 1052*u - 1. What is the second derivative of p(i) wrt i?\nAnswer: 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 568704773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -228.151 - -228. Let q = h - -0.251. Which is the closest to q? (a) -4 (b) -2\/11 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:26 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - t**2 + 0*t**2 + (2*t + 3*t - 3*t)*(97679 - 421*t - 97679) to n*t**2 + o + v*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 5*j + 28 = 0. Suppose j*y = 2*k + 4, -2 = -2*y - 0*y + 3*k. Let n = 231.6 - 235. Is y smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1412131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let c be g\/(-2) - (-5)\/5. Let l = 0 + c. Solve -5 = 5*p - l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54307, 54269, 54231, 54193, 54155, 54117?\nAnswer: 54079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144152252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1811312739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57648 - 27*h + 8*h + 57438 - 98*h + 3*h**3.\nAnswer: 3*(h - 7)*(h + 2)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -617*z**7\/210 - z**6\/60 - 53*z**5\/15 + 1989*z**2. Find the third derivative of s(h) wrt h.\nAnswer: -14808*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 o when three letters picked without replacement from {e: 3, r: 1, n: 8, o: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:53 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4498462 is divided by 812?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 4, -7, -32, -77, -148, -251, -392?\n\"Answer: -h**3 + 2*h**2 - 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13327281 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 102 - 0. Suppose 50 = 3*i - s. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 + -211. Let w(u) = -5*u**3 - 5*u**2 - 2*u - 6. Let y(m) = 3*m**2 + 6*m**3 + 7 + 2*m**2 + m**2 + 2*m. Let o(n) = j*w(n) + 6*y(n). Give o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) 23 (c) -0.1 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, 4, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5 - 4391*k**4\/4 - 29355*k**3\/2 - 192019*k**2\/4 - 51097*k - 9999 = 0.\nAnswer: -9, -2, -1\/4, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*1*(23733\/(-405) + 57)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 237145 (base 10) to base 8\nAnswer: 717131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -648592 + 1318656. Suppose 2725349 = -3*z + i. Let v = z - 1014905. Round v to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 20. Let r be a(13). Let k = -11\/2 - r. Factor 0 + 1\/2*n + 12*n**4 + 8*n**5 - 3*n**2 + k*n**3.\nAnswer: n*(n + 1)**2*(4*n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 701.935 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*r, 0 = 3*r - 0*j - 5*j - 16. Suppose -3*y + 2*y + r*w + 4 = 0, 5*y + 2*w = -4. Let t = -79 + 479\/6. Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.171294147 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i**3 - 49*i**3 + 16*i**3.\nAnswer: -62*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 10. Let x be q(7). What is the units digit of (-14)\/x*126\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**6\/12 - f**5\/30 + 9*f**2. Factor w(i).\nAnswer: 2*i**2*(5*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 96d410?\nAnswer: 96d414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 154\/(-1)*(-2)\/(-4). Calculate the common denominator of 1\/10 and t\/(-28) - (-1)\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a millennium in months?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10 - -15) + 6 - 1) + 8.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -226, 1, -25, 5 in descending order.\nAnswer: 5, 1, -25, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 18096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.2.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 36 = 3*x - 2*s, -5*x + 36 = 2*s. What is the first derivative of -231*c**2 - 287*c**2 + x + 587*c**2 wrt c?\nAnswer: 138*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 13*p. Let g be i(-6). Let f be g\/(-4)*(-50)\/3*2004. What is f rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 65*t - 356. Let s be m(70). Let j(f) = 19*f + 114. Let z be j(s). Factor 24\/5*u + 22\/5*u**2 + z - 2\/5*u**3.\nAnswer: -2*u*(u - 12)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1159*v + 358*v - 382*v as y + s*v and give s.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-624)*464\/(-1334)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i - 68. Let c(z) = 2. Let s(n) = -12*c(n) + d(n). Is s(-12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(304) + 1*sqrt(304)*-4)**2*1*-6*-3.\nAnswer: 1296*sqrt(19) + 49410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/215 (b) -977 (c) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11 - 30) + 39 - 15) + (0 - -7) - -110.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 336, 524, 712, 900?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) + 2\/(-1). Let n be (-34)\/(-1 + (-4 - m)). Suppose 19*r - 58 = n*r. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 less than or equal to -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137\/4 + -34. Solve 1\/4 - 1\/2*g**2 - x*g = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from iiixxaapaiix?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 411448770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13724901\/7 - 1960665. Let 15 + 3\/7*t**4 + 6*t**3 + k*t + 180\/7*t**2 = 0. Calculate t.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7299734 to the power of 1\/2, to the nearest integer?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-45) + (-34)\/(-10). Let u = 3 + -3.3. What is the closest to q in 1, u, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6328997.257 - 1014.\nAnswer: -6330011.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*k - 32, -2*k + k = -4*f + 36. Solve 0 = f*r - 4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -939 - -936. Let v(a) = -3*a**3 - 3*a**2 + 3*a - 1. Determine v(g).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*2\/36 - 680\/(-180). What is the third smallest value in 0, z, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 1\/2*v**2 - 18 - 10*v. Suppose -57 = -5*h - 3*c, -3*c = h - 4*c - 5. Determine m(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 11*i - 2. Let f be b(11). Let w(k) = -k**2 + 7*k. Let h be w(7). Let j = h + -1. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 51 + 15. Suppose -5 - 14 = b + 5*s, 0 = -2*b + s - 16. Let v be (-33)\/b - (-2)\/6. Solve r = v*r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -563*t. Let k(l) = 52*l - 1. Determine a(k(h)).\nAnswer: -29276*h + 563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -16 - (4 - -2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (341\/(166749\/(-326)))\/((-132)\/4)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -24 - 357*l + 366*l - l**2 + 41. Suppose 3*c - 5*w = 4, 28 = 3*c - 2*c + 5*w. Calculate the smallest common multiple of 2 and y(c).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 217 + 88. Let n = -11706 + 11765. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:27 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let l(j) = 4 + 15 - 367*j**2 - 18 - 1. Give s(l(r)).\nAnswer: 367*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {l: 5, z: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.0638, -2 in descending order.\nAnswer: 5, 0.0638, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 288.4 * 9.58\nAnswer: 2762.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 1. Suppose -2*j = h, h + 2 = 2*h. Let b be 2\/((-2)\/3) + 6. Let w(q) = -4 + b + 6 - 4. Give j*w(d) - x(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from yaygyyygayagagyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29a (base 11) to base 3\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/20 + 64\/10. Let t = 32 - r. Suppose -6*h = 96*h - 10302. Calculate the remainder when h is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -901*0.1595.\nAnswer: -143.7095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.455316 litres to millilitres.\nAnswer: 5455.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38635 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 + 14 = 0. Suppose -4*n + k = -2. Let h(l) = -l - 2. Calculate h(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-3\/2))*s)\/(s*((s**(6\/25)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(163\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2068*a - 10319. Give w(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from {f: 17, o: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 1302\/13. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/12 and -89\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1 + 13\/(-3). What is the nearest to 1\/4 in 1\/5, w, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173499\/22 + 7889. Let i be (-10 + -298)*(-2)\/(1 + -2). Calculate the common denominator of a and 2497\/i - (-3)\/7.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4744\/3 + 1567. Find the common denominator of v and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 - 2 = 0, 6 = 5*x - 3*f. Suppose 2*l = -l + 9. Suppose x = -3*s + 2*p + 59, p = 5*s - l*s - 39. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 1 = 20. Suppose 2*t + 5 = a*t. Suppose 32 = t*i - 8. Solve -4*j + i + 6 = -y, 5*y = j + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -6*y + h - 11, 2*y - 3*h + 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 1 - 1)*(1 + 4 - 2)*(4*l - 5*l - 3*l) - 2*l**2 + 2*l + 5*l**2 + 0*l.\nAnswer: 39*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/8 - -3\/8. Put 40, f, 0, 0.5 in increasing order.\nAnswer: f, 0, 0.5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:14 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8245 - 2.8245. Let j = -3 - -2.5. Which is the closest to 1? (a) j (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m = 4*d - 32, 4 = 2*m - d. What is the remainder when 161 is divided by (-285)\/(-10) - 2\/m - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 11) to base 4\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:44 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 192 = 20*t. Solve -7*y = -43 + t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -30. Suppose 5*r = -s - z, 3*r - s = -3 - 26. Let m = -5 - r. Solve -5*h = y + 15, 6 = 3*y - h + m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3367 + -72.8713. Round t to the nearest integer.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195054 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2 + 3410*u - 113619 = 0.\nAnswer: -3443, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10583048, -10583041, -10583028, -10583009, -10582984, -10582953?\n\"Answer: 3*o**2 - 2*o - 10583049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1801*c**3 + 14 - 14.\nAnswer: -1801*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2573, -37, -3, 0, -2 in decreasing order.\nAnswer: 2573, 0, -2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 538766 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8383*p**3 + 5102*p**3 + 3271*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -596*y + 1. Let i be x(1). Let w = i + 1416. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9)\/(l**3\/l*l)*(l\/(l**(-1)*l*l))**(-2\/5))**(-1\/68))**(-6\/19) assuming l is positive.\nAnswer: l**(-18\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + v**4 + 15*v**4 + (-3*v**2 - v**2 + 2*v**2)*(v**2 - v**2 - 2*v**2) + v**4 + 0*v**4 + v**4 + (-3 - 2 + 3)*(5*v**3 - 2*v**4 - 5*v**3).\nAnswer: 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 3) + (-65*(-9)\/117 - (-140)\/23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/12 + 7*l**3\/6 + 5*l**2\/2 - l. Suppose 6 = 2*y + 4*s, -3*s - 6 = 4*y + 7. What is the units digit of p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 609, 899, 1173, 1425, 1649, 1839, 1989?\nAnswer: 2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.836 and 12445036402?\nAnswer: 12445036400.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421475, -421237, -421003, -420773, -420547, -420325, -420107?\nAnswer: -419893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1963*y - 1000 = -1968*y. Solve 16*n - y = -24*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 2*x + 5*x**2 - 3*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/32 (b) 2\/53 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 2\/11, -0.4, -0.188 in decreasing order.\nAnswer: 2\/11, 2\/15, -0.188, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2289 divide 49744548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 11. Let b be x(-8). Suppose b*i = 5*i - 110. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 66 = -234. Suppose 0 = -i + 4*i + 5*j + 38, 0 = -5*i + 3*j - 18. Let g = i + 21. Calculate the highest common divisor of g and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - u - 451174 - 822518, 5*u - 15 = 0. Suppose -x - 25261 = -4*v. What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 10 - 4. Let d(s) = 35 + s**2 - s**x - s**2. List the prime factors of d(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -417 <= -0.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 33 = -5*m, -5*m = -m - 4*p + 36 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22581726 - -58609?\nAnswer: 58608.77418274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 10 = -s, 1042*s - 1040*s + 5 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 7*o + 5. Suppose -4*j + 4 = -2*j. Suppose -j*r = -0*r + 14. What is the units digit of z(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, x: 2}. What is prob of sequence xra?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*u - 3*u + 3 = 0, 3*b = -2*u - 7. Put -7, b, 0 in increasing order.\nAnswer: -7, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f*l**2 - 2516819*f*l*o**3 - 3*l**2*o**3 + 2*l**2 - 98664*l*o**2 wrt f?\nAnswer: 3*l**2 - 2516819*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwmw when four letters picked without replacement from wmwmwwwwwwww.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -3. Let f be 2 + 2*(-2)\/m. Suppose 27 + 78 = f*u. What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/70 - 11*p**4\/7 - 65*p**3\/21 - 566*p. Let g(l) = 0. Calculate l.\nAnswer: -65, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + 5*q**4 - 3*q**4)*(-1188 - 886 + 279).\nAnswer: 5385*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 take away 321506464168?\nAnswer: -321506464136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21025662 + 11?\nAnswer: 21026003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1473615*-1.\nAnswer: -2.1473615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/29 - 53\/174. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30748 - 16605. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(432))**2*5.\nAnswer: 480*sqrt(3) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 12*h**2 + h - 7. Let z be (12\/(-10))\/(2\/(-10)). Let l(m) = m**2 + m - 1. Let s(k) = z*l(k) - x(k). What is s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 60. Let c = f - -29. Sort 1, c, -3, -5.\nAnswer: -5, -3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {t: 14, i: 1, c: 2}.\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/((i\/i**3)\/i)*(i**2*i)**(-5\/7) assuming i is positive.\nAnswer: i**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**5\/2 + 3*l**4\/4 + 10*l - 13. Let v(w) be the first derivative of k(w). What is the third derivative of v(p) wrt p?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 975.1774t?\nAnswer: 975177.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2*u**5\/5 - 6*u**3 - 3*u**2\/2 + 6*u - 25. What is the second derivative of w(n) wrt n?\nAnswer: -24*n**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5939 and 76?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 15 + 0)*(2182*h - 1093*h - 1090*h + 508)*(-5 + 5 - 3*h) in the form d*h**2 + x*h + r and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958668 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let s(a) = -7*a - 2. Let i(z) = z**2 - 4*z - 13. Let u be i(6). Give u*s(k) - 6*f(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -78*z - 19645. Determine v(-248).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 4. Let u be f(-4). Let v be (-144)\/(-11) + (-31)\/341. Suppose u = -v*s + 9*s + 128. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101121 + 2?\nAnswer: -101113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -17)\/5 + 23. Suppose -18*x + w*x = 18. Suppose -s + o + x = -5, -4*o = 5*s - 97. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/392*110264\/(-9845)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -155?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h - 27. Let m(f) = -21*f - 54. Let i(v) = -2*m(v) + 5*x(v). Is i(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014274198?\nAnswer: 2, 3, 13, 1129, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55313989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 85. Let a(m) = 18*m**2 - 12*m + 1. Calculate the remainder when (-1)\/(1*1\/b) is divided by a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -2\/15*g**5 + 30 + 0*g - 2\/3*g**3 + 3*g**2 + 0*g**4 - 143\/210*g**7 + 0*g**6. Find the third derivative of q(z) wrt z.\nAnswer: -3432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 t when three letters picked without replacement from {z: 2, j: 2, t: 1, y: 1, s: 1, c: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/17 - 1844*j**3\/17 + 437754*j**2\/17 - 5860232*j\/17 + 20199368\/17.\nAnswer: 2*(j - 454)**2*(j - 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 186 = -58*n - 522 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149037.\nAnswer: 3, 7, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3603 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 - -222. Which is the third biggest value? (a) -0.5 (b) x (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31980, 31855, 31708, 31527, 31300, 31015, 30660?\n\"Answer: -2*z**3 + z**2 - 114*z + 32095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 17. What is b(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -2*h**7\/105 + h**6\/30 - h**2. Factor u(v).\nAnswer: -4*v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 4*h**2 - 5*h + 5. Suppose -5*r = -23 + 13. Calculate the remainder when 36 is divided by b(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*b**3 + 3*b**4 + 3 - 2*b**2 - 6*b**3 - 8*b**3 as o*b**2 + c + q*b**4 + z*b + u*b**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3804.053g?\nAnswer: 3804053000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k + 0 + 1 + 1. Let b be 2*((-20)\/50 - 11\/10). Is 10 a factor of y(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11853871 a multiple of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:20 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -102, -124, -144, -162, -178?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(4\/5)\/r))\/r)**(-38) assuming r is positive.\nAnswer: r**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + a)*(-1 - 1 - 1) + (2*a - 1 + 1)*(-1 + 0 + 2) + 8 + 105*a + 111*a - 209*a.\nAnswer: 12*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*-1197.\nAnswer: 81396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -174027.46.\nAnswer: -10441.6476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1635 + -1634. Is p less than or equal to 7\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, g: 1}. What is prob of picking 2 u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)*-2 - sqrt(12))*6 + (-1*sqrt(192) - sqrt(12)))*-6)\/((sqrt(150) + sqrt(6))*4 - sqrt(384)*4).\nAnswer: -69*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-942*s + 423*s + 466*s)*(s - 3 + 3).\nAnswer: -53*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 15. Let z(u) = u - 16. Let a(g) = -4*r(g) - 3*z(g). Let j be a(-2). Is 1651\/1 - 0\/(10 + j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 - 100 = 8*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 22. Let f(c) = c**2. Let z(w) = -4*w**2 - 4*w. Let j(v) = o*f(v) + z(v). Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*2124.962.\nAnswer: -403.74278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/566 and 83\/2504?\nAnswer: 708632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32265 is divided by 4589.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 105 = 3*v, -4*v + d = 5*d - 124. Let y = v - 30. Suppose y*s = 85 + 71. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - z + z)*(-2*z - 3*z + 4*z) + 4*z**2 - 3*z**2 - 3*z**2 + (-25*z + 89 - 89)*(2 - 2 - 2)*(-3 + 4 - 2)*(-24 + 2*z + 24) as g*z + v + n*z**2 and give n.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**4 - k**3 - k + 1. Let o(f) = 2*f**4 - f**3 + 5*f**2 - f - 35. Let x(w) = -o(w) + y(w). What is the derivative of x(m) wrt m?\nAnswer: -12*m**3 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-12) + 1 + ((-13698)\/(-27) - 509).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1167892 (base 10) to base 3.\nAnswer: -2012100001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o**2 + 99*o - 646. Determine h(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10599*c**2 + c + 736 wrt c.\nAnswer: 21198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971150 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 8. Suppose c + 2*g = -10, 0 = 4*c - g + 3*g + 28. Let u be w(c). Factor -3*o**2 - 7 + 3 - 4*o + u*o**3 + o**4 + 5*o**2 + o**2.\nAnswer: (o - 1)*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14*k**4 + 25*k**3 + 2731*k**2 + 13375*k + 16272. Let j(c) = -3*c**4 + 5*c**3 + 547*c**2 + 2675*c + 3254. Let g(s) = 11*j(s) - 2*n(s). Factor g(h).\nAnswer: -5*(h - 13)*(h + 2)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1 - u + 5*u + u + 2*u**2. Let w be 17\/(-34) - (-22)\/4. Let m(l) = -w*l - 6*l - 2*l - 4*l**2 + 2*l + 2. What is 7*k(n) + 3*m(n)?\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 12) in base 15?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*s = -2*s + 20, 0 = -2*s. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/3 - 3*l**2\/2 - 9*l + 1. Let f(g) be the first derivative of a(g). Let t(i) = 3*i + 4. Calculate -4*f(h) - 3*t(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 8*u**2 - 6*u - 23. Let n be j(9). Solve 0 = -n*p + 13*p + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7449 take away -5?\nAnswer: -7444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*40\/75*(-15)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 3*v**2 - 35*v + 51. Let k be a(-8). Solve 3*y + 12 = 0, 5*c - 14*y + k = -18*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 1573\nAnswer: 943.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a century in decades?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.235 - -0.636. Let y = -394.086 - -394. Let u = p + y. What is u rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3*k + 19, -4*k + 11 = -3*l - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -2 + 92 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/15)\/(2\/6). Let n = -1.2 + 1.6. Let t = 0.3 + -0.4. Put v, t, n in decreasing order.\nAnswer: n, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.09, -0.2, -4160?\nAnswer: -4160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -754 + 753.8. Let u = -2 + 2.4. What is the nearest to 1 in r, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 2*f**2 + 32*f + 11886. What are the prime factors of u(0)?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 5*x**2 + 5*x - 3. Suppose 7*i - 4*i - 15 = 0. Is p(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2\/3)))\/(d**(-3)\/d))**21\/((d**(2\/9))**(-1\/2)*d**8*d*d**(-8)*d) assuming d is positive.\nAnswer: d**(865\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.30003525 + -7.3. Round j to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068523001 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*y, -6*y + y + 2*m = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/636500 and 61\/83750?\nAnswer: 3182500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*q - r - 9, 3 = -q + 3*r. Let f = q + 11. Let y be (-8)\/(-4) + 1\/((-1)\/(-18)). Calculate the greatest common divisor of f and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6383611, 6383616, 6383625, 6383638, 6383655, 6383676?\nAnswer: 6383701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 - -7561116221?\nAnswer: 7561116377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11353 is divided by 567.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9609 - 9608.999992118. Round x to seven dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 418\/(-352) + (-10)\/(-8). Let q(z) be the second derivative of -4*z + j*z**4 - 1\/12*z**3 + 0*z**2 + 0. Suppose q(v) = 0. What is v?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124*p = 1096*p + 66206280. Round p to the nearest 10000.\nAnswer: 2360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*c + 142. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 65 - 52 = -174 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -766, -2564, -6072, -11860?\nAnswer: -20498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 105 = -44*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -64, 5, 0, -3, -1140, 3 in descending order.\nAnswer: 5, 3, 0, -1, -3, -64, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 830*u + 13002. Determine n(15).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) + 4 + -3. Let j = s - -7. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qee when three letters picked without replacement from {r: 1, k: 1, v: 3, e: 5, q: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/47 (c) -485\/159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 3650. Let k be (-8579942)\/2352 + (-2)\/(-14). Let w = k + c. What is the common denominator of w and -73\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from igiiiiggiig.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 8) to base 2.\nAnswer: 100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 6 = -8. Suppose -c*j + 5*t = -44, -2*t + 46 = 2*j - 6*t. What is the remainder when (1 - (-2 + 1)) + 78 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**13*n*n**(-8)\/n*(n*(n**(-2\/3)\/n)\/n*n*n)**38 assuming n is positive.\nAnswer: n**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 0.36. Let o = 298728 - 298728. Which is the third smallest value? (a) o (b) k (c) -7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 1.2. Let p = 0.4 + g. What is the nearest to 0 in 0, 3, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303.242 - 0.758. Let d = y + 303.9. Let l = 171 + -2220\/13. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 3048, 10261, 24312, 47481, 82048, 130293, 194496?\nAnswer: 276937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + u**2 - 2*u + 1. Let l be x(1). Let k(b) = b**3 - 5*b - 5. Let t be k(l). What is the tens digit of (-116)\/t - (-12)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 3*o**2 + 2*o - 1. What is the tens digit of w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.342442705 to three decimal places.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-3) - -1) + 4. Let t(c) = c**2 - 8*c + 8. Let a be t(m). Does a = -5\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -29. Suppose -8*q + f*q = -820. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 10) in base 14?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.8. Let f = -1 + s. Let g = 0.04 - -1.96. Which is the biggest value? (a) -0.1 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286027 is divided by 40861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-231)\/(-110)*(34\/48 + 2) and 1\/108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29406027?\nAnswer: 3, 7, 200041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/182 - 661\/4186. Let u be (-2)\/(-64)*4*0. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10*2010\/(-25))\/(4 - 2) is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -59. What is the biggest value in -1, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.0026 weeks in hours?\nAnswer: 97104.4368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or 9111?\nAnswer: 9111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1317232 and 47044.\nAnswer: 1317232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-2)\/14*-7. Solve -2*o - d = 5*z + 1, 5*o = -3*z + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 28 = -b - 6*v, -5*v + 29 = b. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 28. Let q(o) = -6*o**2 + 14*o + 12. Let u(b) = 17*b**2 - 43*b - 36. Let s(i) = x*q(i) - 4*u(i). Let c be s(10). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 4:27 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbblb. Give prob of sequence lb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 22 = 34. Solve -s*j + 12 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12)\/sqrt(4) + sqrt(192) + sqrt(192)*2)**2.\nAnswer: 100*sqrt(3) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 24\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2622 = 13*n + 25*n. Sort 5, n, -1, -5 in descending order.\nAnswer: 5, -1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*z**3 - 80\/3 - 364\/3*z + 182\/3*z**2.\nAnswer: 2*(z - 2)*(z + 20)*(5*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4182*d. Let u(z) = -47*z. Let v(y) = -6*p(y) + 533*u(y). Is v(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*n**5\/2 - 390039*n**4\/2 - 408946455*n**3\/2 + 13192227*n**2\/2 = 0 for n.\nAnswer: -2097, 0, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/417 in -4\/19, 2, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2340 and 67\/195?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21)\/d**(-2\/11)*d**(-3)*d*(((d*d**(3\/2)*d)\/d)\/d)\/d)\/(d**(-1\/6)*d\/(d*d\/d**(2\/5)*d)*d**(2\/5)*d**(1\/8)) assuming d is positive.\nAnswer: d**(-529\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d**3 + 2*d**2 - 7*d**2 + 132*d**3 - 75*d**3 + 0*d**2 - 2*d**2.\nAnswer: 16*d**3 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -2*g - 980. Calculate the greatest common divisor of 35 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(19*b + 9*b - 8*b)*((0 + 0 + b)*(-2 + 1 + 0) + 2*b - 2*b + 8*b).\nAnswer: -560*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, s: 2, j: 2, n: 8}. Give prob of sequence nnna.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 374287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from zjjjjjjjjjjjjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 47*r - 48*r - 3 + 3. Let w = -514 - -512. Let x(i) = -6*i. Give w*x(q) + 11*f(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -1\/218, 3\/20, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 55 = 21. Let v(b) = 9*b + 66. Let m be v(p). Calculate the greatest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508113, 1016237, 1524361, 2032485, 2540609?\nAnswer: 3048733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2107 - -2111. Let r(g) = g**3 - 4*g**2 + 2*g + 1. Give r(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11 + 22 = d, 2*r + 2*d = -50. Let g = r - -36. Calculate the remainder when 27 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2*3*(-6)\/36. Which is bigger: o or -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 72*t. Let l(o) = 155*o. Let w(k) = -5*l(k) + 11*n(k). Let b(c) = 4*c. What is b(w(j))?\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 41. Let s be h(-8). Let c be -8 - (s + (-23)\/3). Is c less than or equal to 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*b - 1 = 0, -3*o - 5*b + 2*b = -0*b + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(273))\/sqrt(7))\/((sqrt(3) + sqrt(12)\/sqrt(4))*2).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:52 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 2 + 2)*(3 + 1 - 3) + (4 + 2 - 5)*(606 - 1167 + 655))*(3*j + 0*j - 5*j) in the form d*j + x and give d.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s. Let y(x) = 34361888*x**2. Give r(y(p)).\nAnswer: -103085664*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-38))\/(88\/836). What is the highest common factor of h and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.143 - -0.043. Let m = -1.39 + 0.09. Let q = m + 1. Which is the closest to 2\/3? (a) u (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36945857*g**2 + 105978126.\nAnswer: -73891714*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*-1*0. Suppose -4*z + 1461 = 237. Suppose -4*b - m + z = 0, -b + 3*m = -f*m - 83. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 8*x = -16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 869532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -1, 0, 5, -11, 2549, -3\/20?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 9*m**2 + 14*m + 9. Let o be l(-5). Let x = 412 - o. Is 1\/222 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 4*g - 8. Let r be c(6). Let a(o) = -o - 3. Suppose 4 = -4*f, -2*p - 2*p = -5*f - 13. Let y(q) = -q - 3*q - 4 + p*q. What is r*a(l) - 3*y(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/387 and 89\/2.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -0.357374.\nAnswer: -13.937586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:01 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/17)*x)*x**(-10))**(2\/59)*x**(-2\/13)*x*x\/(x\/(x**(-1\/8)\/x))*x**(2\/5)*x**(-2\/7) assuming x is positive.\nAnswer: x**(-1947597\/3650920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, s: 2, b: 2}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/96 - 17\/96. Sort -1\/110, 5, -0.5, j in decreasing order.\nAnswer: 5, -1\/110, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*a**3*z**3 - 2*a**3 + 439*a**2*z**3 - 2*a*z**3 wrt a.\nAnswer: 540*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 6*r - 1. Let a be v(-3). Let n = a - 11. Let j(l) = -l**2 - 3*l - 3. Determine j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.98 + 24.926. Let m = -0.484 - -0.43. Let s = q - m. What is the nearest to 0.1 in -4, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(152)*2*6)\/(sqrt(72)\/(sqrt(45)\/sqrt(5)*4)).\nAnswer: -48*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccllccccllc. What is prob of sequence cclc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from gwwwgwggwww?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - -23. Let c = q + -56.9914. What is c rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58047 (base 9) in base 2?\nAnswer: 1001011100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*j + 59 = 0, 71 = -4*u - j + 250. What is the highest common divisor of u and 2365?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 305.84 + -313. Let d = i + 11.19. Let j = d - 0.03. Which is the closest to 3? (a) j (b) -2\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 25*b**2 - 27*b - 57. What is i(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 11. Let d = -0.3 + 1.3. Let a = 419 - 2094\/5. Sort q, a, d, -11 in descending order.\nAnswer: d, a, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9068625166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 5:55 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51460, 102922, 154382, 205840?\nAnswer: 257296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*z = 35, -p - 4*z - 16 = -0. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -949 + 8489\/9. What is the common denominator of (-962)\/84 - (-10)\/35 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3401648.86 to the nearest one hundred.\nAnswer: -3401600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8942 + 8942.6193. What is h rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)\/(2\/14). Let k(v) = -v - 3. Let q be k(h). Let r be (4\/8)\/(1\/q). Solve 10 = -4*s + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 20 = y, 0 = 3*q - 3*y - 72. Let v = q + -16. Suppose 210*h - 24 - 428 = -32. Solve -h*j - j = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68583 is divided by 322.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpgjfjjkpjlljlj. What is prob of picking 1 p and 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10 + 0 + 34 + 5*t. Let h be u(-7). Suppose -i - 160 = -h*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 128 = -22*q, -61*q = z - 63*q - 2 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 - 2.3. What is the third smallest value in m, 0.1, -2\/35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1250 + -1241. What is the smallest common multiple of 402 and n?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/2*h**2 - 1125\/2*h + 25\/2*h**3 + 1\/2*h**4 + 0.\nAnswer: h*(h - 5)*(h + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let m(u) = 2*u**2 - 6*u + 8. Let j be m(7). Let f = j + -66. Is f less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(2057)*1 - sqrt(2057)) - (sqrt(2057) + 1 + -2 + sqrt(2057) + 1 + sqrt(2057) + sqrt(2057) + 1))**2*-5 + -2.\nAnswer: -164567 - 440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**7\/210 - o**6\/180 + o**5\/60 + o**4\/36 - 7*o**2\/2 + 3. Let y(x) be the second derivative of a(x). Factor y(q).\nAnswer: -q*(q - 1)*(q + 1)*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5206 + -5202. Which is the biggest value? (a) p (b) 7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmm when four letters picked without replacement from mmmmmggmmmmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5 + 7 + 6 - 3 - 4*h. Let u(k) = 23*k + 17. Let g(b) = -8*b - 6. Let z(c) = 17*g(c) + 6*u(c). Determine z(t(l)).\nAnswer: -8*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and -29.5325824.\nAnswer: -29.5525824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55475 is divided by 414?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286029*z**3 + 576697*z**3 - 290663*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2316345196\/511 - -4532967. Let l = -51\/73 + c. Solve 2\/7*m + 1\/7*m**2 - l = 0 for m.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000198 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(37\/74). Which is the biggest value? (a) -2\/9 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/(h*h**(-2\/5))*(h**0)**3)\/(h**(-6\/5)*h*h\/((h*h**(-4))\/h)*(h**0)**(-2\/15)) assuming h is positive.\nAnswer: h**(-174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240.9999628 - -241. What is d rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2444 divided by 1?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/161 + (-2)\/(168\/(-148))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/((r\/r**(-11))\/r*r)*(r**(8\/3))**(1\/40))**(22\/7) assuming r is positive.\nAnswer: r**(-6908\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 172. Let g(l) be the first derivative of -1\/27*l**6 + 8\/27*l**3 - 4 - 1\/9*l**2 + 1\/9*l**4 - 4\/9*l - 4\/45*l**o. Find w such that g(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -179, -202, -239, -290, -355?\n\"Answer: -7*n**2 - 2*n - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120\/(-18)*(18\/(-5) + 0). Suppose g = -8*m + 56. Suppose -l + m = l. Solve -j + 3*u - 1 = 0, u = 1 - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 5*o**2 - 4*o**2)*(-o - o**2 + o) + 9*o**4 - 2700*o + 2700*o.\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26962491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 0.4, 2 in descending order.\nAnswer: 133, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -5*f**2\/2 + 21*f + 44179. Let m(o) = 1 + 5 - 2 - o. Let y = -13 + 24. Give y*m(v) - 2*n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3385*d**2 - 2832. Let r(q) = -10153*q**2 - 8494. Let x(s) = 8*n(s) - 3*r(s). What is the derivative of x(v) wrt v?\nAnswer: 6758*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 219\/(-24) - 5\/(-40). Let z(n) = -n**2 - 7*n + 3. Let u be z(q). Suppose 0*a + h - 235 = -u*a, 134 = 2*a - 5*h. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(28*f + 5913 - 5913) + 0*f + 0*f + f + (3 + 1 - 2)*(-2*f + 0*f + 0*f) to the form o*f + w and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 16. Suppose 0*r + 5*r - v = 0. Factor -3*m**r - 4*m**2 - 6*m**3 + 3*m**3.\nAnswer: -2*m**2*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19148 < -19125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*t + 6 = -4, -q + 4*t - 19 = 0. Let j = q - -4. Let p = j + -3. Calculate the smallest common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621, -1112, -1633, -2190, -2789, -3436, -4137?\nAnswer: -4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 5412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 2. Let g be v(1). Suppose g = 3*s - 16 + 19. Let j(c) = -4*c**2 - c. Give j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3\/4. What is x in 1\/4*x**2 + 0 + 0*x - 1\/4*x**5 - q*x**4 + 1\/4*x**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9827?\nAnswer: 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 3, 2 in ascending order.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let h be -1 - 0 - (-18 + 6). Let y(a) = -7 - 3*a**2 - h*a**2 + 3 + 2. Determine c(y(i)).\nAnswer: 14*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/2*9804\/(-2508))\/(-2*3\/(-12))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209253 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-187.1\nAnswer: -374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/18908 and -58\/3423?\nAnswer: 397068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 130*o**2 - 935*o + 800 = 0. Calculate o.\nAnswer: -32, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 315939*b - 20232384.\nAnswer: 3*(b - 105377)*(b + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 1 + 5*j - 5 + 1 + 3 to the form d*j + v and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 44, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600865 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 74 - 62 - (-21 + -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 59*x + 586. Calculate d(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 292, 1190, 2680, 4768, 7460, 10762, 14680?\n\"Answer: c**3 + 290*c**2 + 21*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-2 + 2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409208 is divided by 1691?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2403 + 20444?\nAnswer: 13041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 32. Let m(x) = x + 35. Let n be m(-25). Let y be k(n). Calculate the highest common factor of 44 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25620 + 48947. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1169 - -3129. What are the prime factors of ((-459)\/4)\/((-147)\/t)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b + 100 = 0. Suppose -2*y + 37 = p, -5*y - 17 - b = -p. Suppose 154 - p = 3*m. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1886*d**2 - 6*d**3 - 1886*d**2.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1, -0.2, 215, 5, 66\/23.\nAnswer: -0.2, 3\/5, 1, 66\/23, 5, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.12 (c) -2\/19 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3504 is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155.7 + -156. What is the biggest value in 7, 6, l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 - 1 - (42 + -36). Let t(m) be the first derivative of -32\/15*m**3 - 4\/5*m**2 + 4\/5*m + c. Factor t(y).\nAnswer: -4*(2*y + 1)*(4*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26787707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 0*d. Put -1, 1, d, -2 in ascending order.\nAnswer: -2, -1, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2. Let c(g) = 3*g**2 + 39 - 3154*g - 3152*g + 6306*g. Determine c(d(k)).\nAnswer: 48*k**4 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/(-215)*2\/(-8 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15142.\nAnswer: 2, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 + 3*l**3 + l**2\/2 - 4*l + 7. Let s = 223 - 214. What is m(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004274 rounded to six decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 99. Suppose a + w = 12. Solve -a*l = -4*k - 12, -4*l + 2*k = -k - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 21*m**2 - m + 24. Determine n(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65832 - -65862 - ((0 + 2 - 4) + 20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9781 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*12 + 30\/(-105)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 + (155 - -14) + 1 and 242.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4685 = 1400. Let i = -370 + g. What are the prime factors of i?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10216 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5427*y**3 - 5428*y**3 + 10 + 13*y + 10854*y**3 + (-2*y + 5*y - 2*y)*(8 + 7*y**2 - 8) to the form d + u*y + a*y**2 + h*y**3 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + (-104)\/36)*(27 - 28). What is the nearest to s in 0.2, -6, -126?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1443075885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -162930.7786 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98816 and 156137.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 11862284 times 20\nAnswer: 237245680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 + 15*p - 8. Let q be o(-8). Let s be (q\/((-2)\/(-1)))\/2. What is the derivative of s - 13*t + 6 + 6 wrt t?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**3 + 2*z**2 - 19*z - 20. Let u(i) = 6*i**3 - 2*i**2 + 18*i + 17. What is 4*m(n) + 5*u(n)?\nAnswer: 2*n**3 - 2*n**2 + 14*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 4:09 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l**2 + 2*l. Let u(v) = -64*v**2 + 11*v. Give 11*p(k) - 2*u(k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 42*h + 7. Let m(i) = -34*i - 10. Let u(z) = -20*z - 6. Let g(q) = -3*m(q) + 5*u(q). What is j(g(y))?\nAnswer: 84*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1768413805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 27 = -3*x. Let i = -7 + x. What is the lowest common multiple of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 + 145. Factor -1\/3*j**d + 1\/3 + 1\/3*j - 1\/3*j**3.\nAnswer: -(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42949, -43740, -44531, -45322?\n\"Answer: -791*f - 42158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 - 2*w - 3. Let l be f(-4). Suppose -8 = -l*i + 57. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 2*j - 2*j**2. Let n(p) = -2*p + 5. Let z(d) = -d + 1. Let b(y) = n(y) - 3*z(y). Let w be b(-1). What is g(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.55, 8, -0.4, 1\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:54 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2*p**3\/9 + 5*p**2\/3 - 8*p\/3 - 1299. Factor q(u).\nAnswer: -2*(u - 4)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112150007.\nAnswer: 112150007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:24 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -289, -578, -867?\n\"Answer: -289*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -47*g**5\/15 - g**4\/8 - 16*g**3\/3 + 129*g**2. Find the second derivative of u(o) wrt o.\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13562, -13442, -13322, -13202, -13082, -12962?\nAnswer: -12842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*h**3 - 72*f*h**2 - 35*f*h + h**3 + 15877*h**2 + 3 wrt f.\nAnswer: 2*h**3 - 72*h**2 - 35*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2586 and -5.\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -30*f**3 - 16*f**2 + 16*f - 10. Let s(o) be the first derivative of -2*o - o**3 + 108 - 3\/2*o**4 + 3\/2*o**2. Give -3*p(l) + 16*s(l).\nAnswer: -6*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 3:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 17. Calculate the remainder when 48 is divided by k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -u + 27980*r - 27983*r, -u - 2*r = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 28724850?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 12*f + 7*f + 3.\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1283646 or 10269161\/8?\nAnswer: 1283646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f**4\/3 - 460*f**3\/3 + 74*f**2 = 0. Calculate f.\nAnswer: 0, 1\/2, 111\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 613*b**2*g**3 - 3*b**2*g*l + 7*b**2 + 3*b*g**3 - 78*b*g**2*l + 69*b*g*l wrt b.\nAnswer: 1226*g**3 - 6*g*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229\/4 - 57. Suppose -h - 8 = h. Which is the smallest value? (a) d (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -155331215.\nAnswer: -155331203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*g - 12, -3*d + 0*g = -3*g + 18. Let q(h) = h**2 + 7*h + 8. Let x be q(d). Solve 11 = x*l + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -15 (c) 0 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 113 + 41 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -682a8a8 - -4?\nAnswer: -682a8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-9)\/((32\/(-4))\/4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*b - 21. Let s = -6765\/4 - -1680. What is the common denominator of (2\/24)\/(b\/(-1016)) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1167*b**2 - 242*b - 974. Let n be a(-4). Calculate the greatest common factor of 61 and n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 213 = 812. Let w = g + 456. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -55 + 13\/12*l**3 + 0*l**2 - 1\/16*l**4 + 0*l. Factor b(s).\nAnswer: -s**2*(s - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*2 + -5 + 1)*-2)**2 - (1*sqrt(1088)*4 + -5 + (sqrt(1088) - (sqrt(1088) + -2 - sqrt(1088))))**2*-1.\nAnswer: -752*sqrt(17) + 44681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2, -6, 84\/5, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*i*t**3 - 3456519*i - 378511*t**4 wrt t.\nAnswer: 33*i*t**2 - 1514044*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*y**3 + 82\/9 + 86\/9*y**2 + 166\/9*y.\nAnswer: 2*(y + 1)**2*(y + 41)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Differentiate g*v - 5*v + 4 + 4*v - 6 with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/80 + 13*z**4\/48 - 8*z**3\/3 + 17*z**2\/2 - 297*z. What is c in m(c) = 0?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2888, 2912, 2992, 3158, 3440, 3868, 4472?\nAnswer: 5282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 23, 2753, 4\/13?\nAnswer: 2753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 9. Let w = b - -26. What is the greatest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18742a (base 15) to base 14\nAnswer: 22d404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**6\/120 - 11*d**3\/6 + 84*d**2 - 56. Let i(s) be the second derivative of v(s). Differentiate i(c) with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (448\/(-80))\/(-4*6\/60). Solve 22*f - 25*f - 4*d + 22 = 0, f = -3*d + t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 5 (c) 118 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*z**2 - 68*z**2 + 201*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, 2\/49, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*j = -d - 13, -d - 4*j - 11 = 0. Calculate the common denominator of 842\/(-144) + d\/(-24) and -41\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3826, -101, 0.9 in increasing order.\nAnswer: -3826, -101, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 45 + 9. Suppose 3*f = 7*n - 2*n + 6, 0 = -5*n - 5*f - 30. What is the remainder when (c\/n)\/((-1)\/(-10)) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s*s**(-1)\/s)\/s)\/s)))**(-39)*(s**(-4))**(2\/7) assuming s is positive.\nAnswer: s**(811\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 10. Let w be d(2). Let t(p) = -p**2 - 8*p. Calculate the lowest common multiple of 50 and t(w).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-990)\/25)*(-20)\/50.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7 - 12 + 7 - 1251*r + 1242*r. Let i(l) = -l - 1. Let q be i(4). Does 11 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5079 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -303454, -606748, -910042, -1213336?\n\"Answer: -303294*v - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -6. Let c be 8 + x\/1 + 0. Is 12 a factor of c\/15 + 58\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -25. Suppose 2856 = 9*v + 2883. Let h be ((-15)\/3 - v)\/n. Which is bigger: 0.5 or h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4815215.000058 + -4815195. Let g = 2 - -18. Let p = y - g. Round p to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -129, -138, -151, -168, -189?\n\"Answer: -2*j**2 - 3*j - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)\/x)\/((x**(-7)*x*x)\/x))**23\/(((x*x*x**0)\/x)**(-3)\/(x**1\/x)**(-1\/13)) assuming x is positive.\nAnswer: x**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*k + 3*k - 7 = 0, -2*b - k = -1. Let q(j) = 4*j + 9. Let l be q(b). Solve -2*a - l = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379772047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (16 - (3 - -14 - 9)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/330 - m**4\/66 + 3*m**2\/2 + 7*m. Let f(s) be the first derivative of w(s). Let f(r) = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 1579*o + 12635. Give x(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 209263 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t**2 - 174*t - 23. Determine k(-12).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*v - 4 = 2*v, -38 = -4*s - 2*v. Let f = s - -18. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6205075?\nAnswer: 5, 248203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 3:38 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -270993.5698 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 5) to base 6\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1883\nAnswer: 188.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 555440 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3619 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 5. Let m be f(-9). Which is the smallest value? (a) -5 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 39.89093 seconds?\nAnswer: 39890930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1048*q**2 - 306 + 582 + 767 + 63*q**2 with respect to q.\nAnswer: 2222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4291*d - 56070 + 56070 in the form n + j*d and give j.\nAnswer: -4291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31702 - 2567858\/81. Sort -0.2, -4, y, 0, -7 in increasing order.\nAnswer: -7, -4, -0.2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*v**4 - 2*v**3 - 121*v + 2 wrt v?\nAnswer: -300*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*b - 132, -2*j - 5*b = -4 - 55. What is the highest common divisor of 368 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*r - 308, z = 4*z - r + 488. Let c = 152 + z. Sort c, -3, 1 in ascending order.\nAnswer: c, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*f + f - 35 = 0, 2*j - 8 = 5*f. What is the remainder when 53 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 + 70*a**2 - 145*a - 220 = 0. What is a?\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -163, -280, -393, -502, -607?\n\"Answer: 2*r**2 - 123*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 1 - 1)*(-f - 2*f**2 + 6 - 6)*(103 + 136 - 44).\nAnswer: -390*f**4 - 195*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 2)*(2 - 2 - k)*(-k + k**2 + k + 82178*k - 82178*k + 198*k**2 + (-k - 4*k + 4*k)*(2*k + 0 + 0)) as x*k + m*k**3 + z + f*k**2 and give m.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 6. Solve -2 = -3*c - 11, -i*t = -3*c - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*x + z, -5*x + 2*z = 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -83, -87, -91, -95?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + -135. Let b(j) = -j**2 - 9*j + 16. Let l be b(-11). Let i = l + 8. Solve 2*g + i*g = o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -25354248.\nAnswer: 5070849.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6211159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/12 and -10 + 8 + 134\/(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7234582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4 and 151\/2424.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 6, e: 3, z: 5}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(0 + 4 - 5). Solve l - 3 + 0 = c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 174622.9 tonnes?\nAnswer: 174622900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r + 7086. Is 74 a factor of u(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -66 - (-9 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.851024526504 + -9.\nAnswer: -25.851024526504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133)*-1)\/(4*sqrt(448)).\nAnswer: -sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 707 and 9090?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9528237 take away 2?\nAnswer: -9528239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -369.34 plus -2212.8?\nAnswer: -2582.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -21607*n**2 - 18*n - 18*n + 55*n - 18*n in the form o + k*n**2 + p*n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -980 (base 11) to base 15.\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 10021?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*f**2 - 2682*f - 140755?\nAnswer: -12*f - 2682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8221 (base 9) to base 8.\nAnswer: -13575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (1 - 3) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 5\/2 (c) 7 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -31, -1, 2, -3, -1376 in decreasing order.\nAnswer: 8, 2, -1, -2, -3, -31, -1376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*n - 165 = 58, 3*n = 15. Suppose -3*o + o = -k. Suppose o = u + u. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11051\/4 + 2739. Calculate the common denominator of -71\/6 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 728428*g + 13111056.\nAnswer: 2*(g + 18)*(g + 364196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121022 (base 3) in base 4?\nAnswer: -1202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9102 and 356495.\nAnswer: 2138970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.081 - -5.081. Which is the nearest to -1? (a) 3\/5 (b) -7\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1134) - (sqrt(1134) + sqrt(1134)*1*-3))\/(sqrt(16)\/(5*sqrt(200))).\nAnswer: -2 + 675*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (32 + -22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 14. Let j be m(0). Let c be ((-8)\/j)\/((-4)\/2). Is -1\/3 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/10 + 5750479*s\/5 + 11500959\/10.\nAnswer: -(s - 11500959)*(s + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68\/1 - 0*(-5)\/(-30). Suppose 2*i - 8 - c = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5225*y - 5263. Calculate d(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, c: 2, u: 3}. What is prob of picking 1 h and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 56386530?\nAnswer: 112773060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - -14) + -33 - 12 - 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1) - 0*10\/(-140)) + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*b**5 - 808*b**2 wrt b.\nAnswer: 22380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 296806200 and -0.5.\nAnswer: 296806199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/48)\/(99\/4488)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027968 to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*a + 27 - 21, 3 = 3*a + 6*u. Let z = -23 + 10. Sort -5, z, a, 7.\nAnswer: z, -5, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -6*o**5\/5 + 11*o**4\/6 + 14*o**3\/3 - 407*o**2. Determine j, given that q(j) = 0.\nAnswer: -7\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {i: 1, j: 1, t: 12}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.0877 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 3746.8.\nAnswer: 37.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-90))\/(35 + 3540\/(-100)). Which is the second smallest value? (a) l (b) 2 (c) 1.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/15)*x**28*(x*x**(2\/51)*x)\/x**(-5\/2) assuming x is positive.\nAnswer: x**(16561\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/1 + (-1 - 166\/(-76))*-6. Is y less than or equal to -0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44316136 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116*((-2)\/(-4))\/(6\/(-75)*1000\/160)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 9*w - 3. Let a be l(-8). Suppose -8*c + a*c = -6. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311 times -18285\nAnswer: 5686635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 53\/7. What is the closest to 1 in i, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-4 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.2927 years to decades.\nAnswer: 69.12927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*o + 128*o = -142 + 154 + 292 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 5*b - 1 + 12*b)*(2*b**4 - 15*b**4 - 13*b**4).\nAnswer: -182*b**5 + 26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/9 - -14\/9. Let v = 6 + -6.4. Which is the nearest to 1\/3? (a) g (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*o - 3*o. Suppose -58 + 166 = 5*t - o*z, 2*t - 54 = -2*z. Let b be 9*(25 + -12)\/13 - 1*4. Solve b*k + t = -x - 3, 3*x + 2*k + 16 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 10498475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -83*f - 2488. Let i be g(-30). Let p(x) be the first derivative of -i*x - 11 - 1\/2*x**2. Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12243 (base 5) to base 13\nAnswer: -57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 30166024*a - 113748625496072 = 0. Calculate a.\nAnswer: 7541506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 4*f. What is the third smallest value in -1\/8, -1, f, -2\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 5*m + 5. Let r(j) be the third derivative of -j**5\/15 + j**4\/6 - 2*j**3\/3 + 512*j**2. Give 4*q(p) + 5*r(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-37)*j\/(j\/j**(-28)))\/(j*j*j*j**(-1\/3)\/j*j)**(1\/71) assuming j is positive.\nAnswer: j**(-13640\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8634009809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -5 (c) 4\/9 (d) -5\/57 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11184*j - 11183*j + 133 - 1374.\nAnswer: j - 1241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4521010 and 5930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 938\/3 or 313?\nAnswer: 938\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 59*u + 6. Let r(h) = 178*h + 16. Give -8*g(m) + 3*r(m).\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/85, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f. Let b be 8\/(-6)*3\/2. Let z(t) = 3*t. What is b*o(n) + 5*z(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 - 245. Let j be ((-18)\/24)\/(t\/(-160)). Let c(s) = s + 2. Calculate c(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + 2 - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1885?\nAnswer: -1\/1885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -624*w**2 + 2057*w**2 + 3085*w**2 + 1877*w**2 - 501*w**2 in the form m*w**2 + f + b*w and give m.\nAnswer: 5894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuddu?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1147, -1153, -1161, -1171, -1183?\n\"Answer: -r**2 - 3*r - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 14375522*g**4\/3 - 934638916904*g**3\/3 + 15191619909510248*g**2\/3 + 7555201270848*g + 2818053504 = 0.\nAnswer: -2\/2681, 32508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 greater than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) - sqrt(13)*-1))**2 + (-2*sqrt(1872))**2.\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 106*x\/7 - 25415\/7.\nAnswer: (x - 115)*(x + 221)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 650578*s**5 + 2704931*s**2 wrt s.\nAnswer: 39034680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41131121 (base 5) to base 3.\nAnswer: 121221011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -1, 3, -3, -0.138?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160082486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*(-60)\/(-270)*-9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 10, 540*r - 782970 = 535*r + 5*p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = z - 5*z - 14, 3*z = -9. Let a(y) = 19*y**2 - 2 - y - 5*y**q - 11*y**2. Let p(r) = -13*r**2 + 5*r + 8. Give 9*a(w) + 2*p(w).\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 49, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k. Suppose 4*v - 16 = -k*v. Find the second derivative of b + v*b**4 - b**4 + b wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 228*m + 218*m - 336*m to the form j + u*m and give u.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*((-1008)\/(-224))\/((-27)\/(-2)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.31.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -185*k**2 + 185*k**2 - 87*k**4 - k**4 + k - k + (0 + 0 + 1)*(-k**4 + 2*k**4 - 2*k**4) + 4*k**4 + 2*k**4 - 3*k**4.\nAnswer: -86*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2479, -0.3275, -3, 9.\nAnswer: -2479, -3, -0.3275, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152952486 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 28. Suppose n + 9*o - c = 4*o, -n - 3*o = -10. Let k(j) = j**3 - 7*j**2 + 2*j - 9. Let x be k(n). Solve -16 = u - x*z + 5, 0 = 4*z - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19227*c**2 + 17*c - 42098552.\nAnswer: -38454*c + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73914 + 73838 + 13*g**2 - 147752.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 235 + -101?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from dsiddifiwffdiififsfi.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-10)\/(-4)*12\/2230). Suppose k + m - n = 287, 3*k - 4*m - 1565 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*l + 23 = 0, -4*a + 8 = -3*a + 2*l. What is the second derivative of 10*z**4 + a*z**4 - 11*z + 40*z wrt z?\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 9461288 = -9460928 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4428 and 3555684?\nAnswer: 3555684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2523607*i**3 - 1 - 2523264*i**3 + 3.\nAnswer: 343*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:59 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*t - 29, -2*t + 78 - 74 = x. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -115*r**3\/6 - 3*r**2 + 7*r. Let t be x(-5). Let f = -354 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 7:36 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/6 - 5*c**3\/6 + 9*c**2 + c + 16. Let t(a) be the first derivative of m(a). What is the units digit of t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-4))\/((-5)\/8). Let k = -9629439\/2 - -9720915644\/2019. Let o = k + -2\/2019. What is the fourth biggest value in o, -0.2, 1\/3, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1058 - 1055. Let w(o) = -o**3 + 2*o**2 + 4*o - 1. Calculate w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -25*n + 275. Suppose 4*p = -5*f - 25, -25*p - f = -n*p + 5. Solve -3*c + p - 5 = 2*d, -4*c = -3*d + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phphhph. What is prob of sequence pp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 + 399\/(-960). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*n + 173289 = 198*n + 2769*n + 13089 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 + -6.3. What is the second biggest value in r, -0.3, 46\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1090446272, -1090446274, -1090446276, -1090446278?\nAnswer: -1090446280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6))\/(10\/30))\/((-77)\/(-2233)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*u**3 + 17*u**3 - 88*u**3 - 102*u**3.\nAnswer: -406*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-5) + 0 + 2. Let h = 0.19 - -0.01. Let b(d) = 20*d + 26. Let g be b(-1). Sort g, h, i.\nAnswer: h, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1515.99 - -1485. Let n = h + 31. Let i = 0.03 - 0.43. Put i, n, 1\/8 in increasing order.\nAnswer: i, n, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 25430 = 3*f, 95*f - 5108 = -d + 100*f. What are the prime factors of d?\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(2\/11))**47)**(-4\/9)\/(d**(1\/4)*d**(-10))**(-4) assuming d is positive.\nAnswer: d**(-7621\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and ((-4)\/72*-6)\/((-3)\/(-540))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41091 + -101524515.7\nAnswer: -101565606.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 6516?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -593.70179558 - -593.686. Let j = 5.16 + -5.1442. Let i = j + w. What is i rounded to 7 decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 1. Let i(q) = 0 + 12*q - 3*q - 6 + 3*q**2. Let f be 1*-7*8\/(-56). Let n(y) = f*i(y) + 6*k(y). Factor n(o).\nAnswer: 3*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-48)\/(-117))*(-16)\/(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -1 - 5*y**2 - 1\/8*y**4 + 0*y + 1\/2*y**3 - 1\/60*y**5 + 1\/120*y**6. Calculate p(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8.9 (b) 4\/1035 (c) -830\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (418\/57)\/(3\/(-18)*4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 15*m**2 + 15*m - 9. What is the units digit of r(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*y = 3, 2*b + 2*y = b + 4. Let p(m) = 727*m**3 + 2*m**2 + 4. Let q be p(b). Let w = q + 9451. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyzyjzyyyjjzyzyzzz. Give prob of picking 2 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1485191 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2906*g = -2031*g - 1085*g + 198726 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l*l\/((l*l*l**(1\/5))\/l))\/l*l))\/(l*l**(-3)*l)*(l*((l**(1\/16)*l)\/l)\/l)\/(l*l\/l**(-1\/10)) assuming l is positive.\nAnswer: l**(-227\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 2, p: 1, x: 1, q: 3, c: 1}. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/10*96\/(-720))\/(15*-1)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*x = 0, 2*z + 3*x + 10 = 31. Suppose 0 = z*h - 100 + 88. Suppose -g + 300 = 2*p, h*g - 717 = -4*p - 109. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.9, 14, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 257, 707, 1345, 2177, 3209, 4447, 5897, 7565?\n\"Answer: k**3 + 88*k**2 + 179*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 16*a**2 + 645*a + 4376. What is g(-6)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 275 - 37. What is the remainder when g is divided by ((-2)\/(-4) - 1)*2 + 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 20\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2613 is divided by 264.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 16*q + 13 - 21*q + 14 + 15 - 9.\nAnswer: -40*q + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 13793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 1. Let d be j(-3). Let u(b) = -b**3 - 8*b**2 + 3*b + 2. Let a be u(d). What is the common denominator of 0\/2 + 95\/a and 63\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684)*1 + -2))*-3 + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -131*j**2 + 7*j + 10. Let b be (-4)\/(-6)*21\/2. Suppose -2*a - 3*l = b, 2*a + l + 24 = -3*a. Let x be t(a). Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20565699 to the nearest integer?\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b - 1. Let w(o) = 30*o**2 + 3*o + 1. Give w(i) + x(i).\nAnswer: 29*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664453888 to the nearest integer?\nAnswer: 25777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 41*f**2 - 415*f - 18. Let g be k(-18). Solve g = -13*w - 10 + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 51. Suppose -156 = -3*d - 69. List the prime factors of l(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-6)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 11*i + 10. Let z = 44 - 34. Let g be f(z). Let m be 5\/7 - (-8)\/28. Solve g = -a + m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/61 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**3*m*m\/m**(-4) assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, 0.06, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.09, -4, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 0, 0.06, 109?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 159 + 5 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 126 = -0*s. Let z = s - -22. Suppose 11*d - 16*d = -z. Solve 4*k + 2*y + d = 0, -4*k = 4*y + 8 + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - ((-24)\/(-6) + -1*3). Suppose -38 = -3*p + 2*v, 5*p + v - 42 = -v. Factor 11*c**4 - 5*c**5 - 16*c**4 + w*c**2 + p*c**3 + 47 - 52 - 5*c.\nAnswer: -5*(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 6*d + 1. Let w be o(6). Let a = -12 - -21. What is the greatest common factor of w and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*o = 280*o - 25. Let t(f) = 2*f**3 + 4*f**2 + 7. Let n(c) = -3*c**3 - 5*c**2 - 8. Let x(h) = 3*h + 2. Let d be x(-2). Determine d*n(a) + o*t(a).\nAnswer: 2*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00320131 rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = 3*z - 95 - 143, 34*s + 35*s - 65*s - 3*z = -28 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12721660 divided by 623.\nAnswer: -20420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c + g + 51153 = -41*c, 3*c - 2*g - 30696 = 0. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-764)\/573*3\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 2*y + 8*y + 0*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 3*g + 3. Let t(n) = 6*n**2 - 3*n + 4. Let w(m) = -3*t(m) + 4*v(m). What is the remainder when (-1765)\/(-20) - 2\/8 is divided by w(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2441029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*o = -24, 0 = 10*o - 9*o - 3. What is the remainder when 1632\/20 - 2\/(-5) is divided by (-3)\/(-18)*n + (-70)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, p: 4, b: 3}. What is prob of picking 3 p?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 5428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 4. Let v be o(-3). Suppose i = -i + v. Let q be ((-7893)\/630 - -12) + 0 + 3\/5. Is i at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.154220526 rounded to five decimal places?\nAnswer: 1.15422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192454 (base 11) to base 3.\nAnswer: 120001001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - (5 + -2 + -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1148*h + 1774. What is the hundreds digit of t(57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)*y)**(-2\/3)\/(y\/(y\/(y**(-1)\/y))*y*y**(13\/3)\/y) assuming y is positive.\nAnswer: y**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078728 <= 2078727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 12}. What is prob of picking 4 l?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q - 3265 = 416*q - 27418 - 7719 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -773*r + 660*r + 678 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16\/15 - -157\/105. Let p = -21.4 - -1.4. What is the closest to -0.2 in g, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -24. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1055*f**2 + 871*f wrt f?\nAnswer: 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 27. Calculate the remainder when 57 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299772 and 6600?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 125 + -105 + 1 + 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j + 89*j - 2*z - 55 = 16, -21*j + 486 = -3*z for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/35 - (-92)\/14. Let y be ((-6)\/(-8)*-3)\/(a\/(-24)). Let w be y\/14*210\/(-72). Is -2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1492697\/64 - -23324. What is the common denominator of y and 101\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 789122.2km?\nAnswer: 789122200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 8*m + 36. Let n be m\/(-39) + (-84)\/(-39). Suppose 10 = -n*s + 48. What is the remainder when 73 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -637*h**2 + 207 + 4549 - 2206*h**2 wrt h.\nAnswer: -5686*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, -10, -11, 0, -5 in decreasing order.\nAnswer: 0, -0.2, -3, -5, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 13*b + 6. Let v(p) = -9*p**2 + 6*p - 7. Let g be v(1). Let t be x(g). What is the greatest common factor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 423275752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 - -203. Suppose 0 = 4*f + k*o - 459999990, 4*f + 10*o = 5*o + 459999975. What is f rounded to the nearest 1000000?\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1062 - 1011. Let j(s) = -9*s. Let p be j(-1). Let a = 36 - p. Calculate the remainder when y is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 at most -3026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**(-50) assuming d is positive.\nAnswer: d**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(5\/6) + 390 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*c - 2*o, 2*c - 7*c + 26 = 4*o. Let p be c + 1*(-3)\/3. Let m be (-2 + 0 - -1)*5. Put -3, p, m in decreasing order.\nAnswer: p, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3967*d**2 + 2312*d**2 + 2025*d**2.\nAnswer: 370*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23469316 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1721601, 1721603, 1721607, 1721613, 1721621, 1721631, 1721643?\n\"Answer: z**2 - z + 1721601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - ((-8896492)\/13 - (-1332)\/(-2886)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9848590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6ab7c - -2?\nAnswer: 6ab81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 100 - 60)*(-6*y**3 + 4*y**3 + 0*y - y).\nAnswer: 248*y**3 + 124*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -5 in decreasing order.\nAnswer: 5, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1000 - -1012. Let i(f) = -11*f - 7. Let g be i(-5). Calculate the highest common divisor of g and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 84 - (0 - 0). Let c = -55 + z. Suppose 4*m - 8 - c = -4*o, o + 16 = 4*m. Solve -3 = 3*j - 2*j, -3*w = m*j + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.31, 15347, 0.1 in descending order.\nAnswer: 15347, 3.31, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539258057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6635294 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -0.075, -0.164177?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:25 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**6\/5 - u**5\/4 - 23*u**3\/6 + u**2 + 39*u. What is the second derivative of s(o) wrt o?\nAnswer: -72*o**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054603909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*z + 0 + 5 - 6)*(1 - 1 - z + 1 - 1 - 2*z + (2 - 4 + 3)*(-z - z + 0*z) - 3*z + 5*z - z - z - 2*z + 2*z) as l*z**2 + i*z + n and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(1088))**2)*6.\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 998.59238 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.85, 3, -3, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/4 + 325*y**2\/4 - 3211*y\/2 + 2888 = 0?\nAnswer: 2, 19, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/1680*55*14\/(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 58996 = -r, 88*q + 2*r - 26222 = 84*q. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + m + 5 = 1, 4*q - 7 = -5*m. Let i(x) be the second derivative of -x**5\/10 - x**4\/4 + x**2\/2 + 14*x. Let v be i(-2). Sort v, 2, q in ascending order.\nAnswer: 2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/381118325 and -31\/9.\nAnswer: 3430064925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -5*u - 3*y, 2*y - 5 = -3*y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1\/3*i**3 - i + 1 - 3\/4*i**4 - i**2. Let q be l(-1). Let b(f) = f**3 - 4*f**2 + f + 3. Determine b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 69\/2*h**4 - 2\/3*h**3 + 57 - 74*h + 0*h**2. What is the third derivative of k(j) wrt j?\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 48483.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -188\/571?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7740.3 - 7740. What is the nearest to 0 in -4\/11, f, -1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b = -13*b - 627 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.31 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(2\/(-9)). Let o(i) = 6*i**t + 9*i - 4 + 4 - 6 - 4*i. Let s(f) = -f**3 - f + 1. Calculate -o(l) - 5*s(l).\nAnswer: -l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.79587 rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -51*k**3 - k - 1. Calculate the remainder when t(-1) is divided by 3*(-90)\/(-21) - (-1)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 117 = -103. Suppose -3*j + 132 = -3*a, -j - 3*a + 0*a = -w. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 47794*o + 210404. Let c(d) = -395*d - 1739. Let q(h) = 483*c(h) + 4*p(h). What is the first derivative of q(a) wrt a?\nAnswer: 391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.124*53652.\nAnswer: 6652.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2734 + 2752. Calculate the least common multiple of l and 164.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 1. Let n be d(1). Suppose n*k + 3 = 9. Differentiate 1 - k*j**4 + 0 - 2 wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -29*i - 2. Suppose -3*q = -j - 13, -j + 2 = 3. Let x(s) = s**2 + 2*s - 5. What is the remainder when z(-2) is divided by x(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64850*l - 65134*l + 852 = 0. Determine i so that 0 + 0*i**l - 2\/11*i**4 - 12\/11*i + 14\/11*i**2 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 8. Suppose 0 = -5*b - 20, -3*s + 2*b = -f*s + 11. Let w = 51 - s. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 40.9. Let s = 7.1 + -7. Let g = x + s. Which is smaller: -1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 109*w + 40. Let n(p) = -6*p**2. Give y(n(d)).\nAnswer: -654*d**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -79, 28, 118, 5, 0 in ascending order.\nAnswer: -79, -4, 0, 5, 28, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -26*y - 124. Let b be 0*1*1\/2. Suppose -z = -g - b*z, g - 4*z = -6. Calculate the remainder when m(-5) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from buunznnbnnn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -40804.993\nAnswer: 16321.9972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 0*i. Suppose y - 1 + 0 = 0, -4*y = -i*q + 31. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 171.8713?\nAnswer: 515.6139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133939 or 1?\nAnswer: -133939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {a: 1, l: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5*y - d**5 - 61*d**4 - 5*d**2*y + 2*d wrt d?\nAnswer: -60*d**2*y - 60*d**2 - 1464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -218*1\/(-2)*4. Suppose j = -g + 86, -5*j = 3*g + 12 - q. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223147601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 21. Determine z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z - 7. Suppose -5*i = -21*g + 24*g - 165, 0 = 2*i - 4*g - 92. Suppose -84 = 8*f - i. Let b(t) = 8 - 2 - 3*t + 10*t. Determine f*l(v) - 7*b(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 2*z**3\/21 - 6*z**2\/7 + 18*z\/7 + 5. Factor b(d).\nAnswer: 2*(d - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-26)\/(-3))*74*(-1074)\/13246?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Let n be (151899\/(-18))\/1 + g. Let h = -8465 - n. What is the common denominator of -121\/18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756 and 2520?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/9 - 2\/(-6). Let m be 1*(0 - 1)*-1. Is (m + -2)*118*d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. What is the derivative of 12 + 8 + 66*k**3 + 22 - 72*k**f wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3 + 6832348*g**2 + 51201822*g.\nAnswer: 12*g + 13664696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542404402.\nAnswer: 2, 149, 1229, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147072955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123*m + 31546 - 6600 = 10846 - 24082 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 99 = -8*h. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-27)*3\/2. Suppose -3*u - 3*b - b + 1 = 0, -2*u + 2*b - 4 = 0. Let h = 1 - u. What is the third smallest value in k, h, -1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 3116853.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-80)\/(-45) + (-2 - 20\/(-9)). Suppose 5*t + p = -20, 0*t + 15 = t + 4*p. Sort o, t, -3 in decreasing order.\nAnswer: o, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from oohhooh.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 107 - 49 - 26 - 1256*p. Let r be b(-3). Round r to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247 - 236. Let n(x) = -x + 4. Calculate n(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1049 and 419156273?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/(-10))\/((-85632)\/124880)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-2*6 - sqrt(56)\/sqrt(100))\/(sqrt(567) - -6*2*sqrt(567)).\nAnswer: -61*sqrt(2)\/585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 95*s**2 + 168*s - 25344. Give d(96).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 4*r**3\/39 - r**2\/13 + 8. Factor m(v).\nAnswer: 2*v*(2*v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194.7 + -207. Let n = 12.233 + d. What is n rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 25*w**2. Let m(j) = 38*j. Give f(m(k)).\nAnswer: 36100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aueaa. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:21 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j + 292 + 17*j**2 - 292.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4599474 + -1.46. Round c to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 948, -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2636 + 0.28514. What is m rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/27)\/(-2) + 16\/72. Solve f = -3*w + 6 - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -0.039 in ascending order.\nAnswer: -5, -0.039, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*m**4 + 454948*m**3 - 153*m**2 - 77*m - 11.\nAnswer: -888*m + 2729688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 45 - 42 - 36*l)*(-141 + 141 - 28*l**4).\nAnswer: 1008*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbvtv. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 561, 45 in ascending order.\nAnswer: -24, 45, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5 + 13190*m**4 + 331168*m**3 - 1112160*m**2 = 0.\nAnswer: -28, 0, 3, 6620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2e9e (base 15) to base 8\nAnswer: 23501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0 + 10\/1. Let x(f) = 6 - 3 + 5*f**2 + 0. Let w(b) = 0*b - 14*b**2 - 4*b + 4*b - 8. Give n*x(y) + 3*w(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from qnmqiixmw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 20. Suppose -h = -3*t + 7. Let o be (-350)\/(-42)*(0 + t). Solve o = 3*m + 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/20 - 2*s**4\/3 - s**3\/6 - 9*s**2\/2 + s. Let r be w(-8). List the prime factors of r - (-24)\/(3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m - 41. Let j(d) = -d. Give h(u) - 5*j(u).\nAnswer: -u**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, -817, -1778, -2669, -3466?\nAnswer: -4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-18 - -23) + -14 + 2 + 3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 237*m + 61. Let h(f) = 477*f + 123. Let q(c) = 3*h(c) - 7*v(c). Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 226. Let m(q) = -673*q. Calculate m(g(i)).\nAnswer: -1346*i - 152098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 453*v - 50.\nAnswer: 453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004413 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 14*c**3 + 4*c**3 - 16.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 - -31. What are the prime factors of c?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 412, 1093, 2078, 3373?\nAnswer: 4984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(3 + (-129)\/45). Let c be (-25)\/i*((-44)\/(-60) + -1). Sort c, 1\/7, -4\/9, 0.4 in decreasing order.\nAnswer: 0.4, c, 1\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l + 2*l + 2*c, -l - 2*c + 10 = 0. Suppose l*t + t - 4 = 0. Solve 3*v + t + 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 417*v + 43544. What is u(-211)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*r - 289, -9*r + 338 = -5*r + 2*h. Calculate the remainder when 8746 is divided by r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*o, 4*o = 4*i + 2*o. Let w(f) be the second derivative of i*f**3 + 0*f**2 + 0 + 1\/6*f**4 + 2*f. Let j(l) = -2*l. Calculate w(j(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1412511942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 694, 0.4, -2 in decreasing order.\nAnswer: 694, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0143.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88943.57l to millilitres.\nAnswer: 88943570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 0*k**3 - 4*k**3 - k**4 + 7*k**3 to the form h*k + j + x*k**4 + w*k**2 + r*k**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - 2*y)*(5 - 5 + y)*(0 + 3*y + 0).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2956 + 1353. List the prime factors of t.\nAnswer: 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5647 - 5646. Which is greater: 8\/367 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 8. Suppose 3*m - 6 = 0, 18 = 19*n - 15*n + 5*m. Let g(f) = 1435*f**2 - 2876*f**2 + 1439*f**n. What is g(v(o))?\nAnswer: -32*o**2 + 128*o - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0375179995 rounded to 6 decimal places?\nAnswer: 0.037518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 22 - 8 + 2*j - 13. Let v(n) = -4*n - 2. Determine 5*p(f) + 3*v(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-3)*(-6)\/12. Let u be 4\/l - (-1120)\/30. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2985264893?\nAnswer: 13, 2467, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29560 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 19*b - 7. Suppose -19*i + 24*i = -40, 0 = 2*f - 2*i - 4. Give m(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7288 and 37708196?\nAnswer: 37715484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0094271494 rounded to 6 decimal places?\nAnswer: 0.009427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0375 - 3?\nAnswer: a0372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -31, -172, -459, -940, -1663, -2676?\nAnswer: -4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124288217 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: Let z(c) be the third derivative of -217*c**4\/24 + 5*c**3\/6 + c**2. Let u be z(-6). Is u\/9 + (-2)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/(4\/36). Let z(g) = -23*g - g**2 - 3 + h - 9. Let x be z(-23). Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*n = 5682, 5681 = p - 0*p + 3*n. Suppose -5*r - p = -r. Is (r\/14)\/((-1)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -0.8\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*f + 47*f + 14. Solve 0 = 2*l + f*l + 3*z - 10, -3*z - 10 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 2)*(-2)\/(-5). Let f be 2*(2 - j - 66\/(-12)). What is the greatest common divisor of 330 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**2 + 5*o - 9. What is the smallest common multiple of 5 and j(5)?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1319712 divided by -4\nAnswer: 329928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141011, 282084, 423157, 564230?\nAnswer: 705303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*i = -6*d - 2, -3*i - 18 = -4*d. Let b(m) be the second derivative of 1\/6*m**d + 0*m**2 + 0 - m. Let f(h) = 4*h**2. What is f(b(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/12 - r**3\/6 - 14*r. Let q(t) = -t**2 + 5*t + 1. What is -q(x) - 2*y(x)?\nAnswer: -x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -824.8.\nAnswer: -82.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17487*u**4 + 63589*u.\nAnswer: 209844*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + s + 902, -5*d + 45*s + 2245 = 40*s. Solve -445 = 4*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 13601 = -2521*p + 38449 + 15180 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let z(r) = 4*r + 4. Suppose 4*p - 182 = -190. Let a be 3 - 5\/(5\/p). Let l(t) = -7*t - 9. Let w(v) = a*z(v) + 3*l(v). Calculate b(w(u)).\nAnswer: u**2 + 14*u + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**5 + 1740*a**4 + 17*a**3 - 1822281*a**2.\nAnswer: -480*a**2 + 41760*a + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 11:31 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15457614 divided by -6?\nAnswer: -2576269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 0*g**3 - 3 - 5*g**2 - 4*g**3 + 6*g**3 - g**3. Let m be z(6). Suppose -w = -3*p - 6*w + 159, -p = w - m. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142848362?\nAnswer: 2, 71424181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2834766772 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:27 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 6*z**2 - 2*z + 3. Let t = -3 - 3. What is the tens digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 12. Calculate the remainder when 56 is divided by l(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 11. Let m = -40 + 73. Calculate the remainder when m is divided by x(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 11*i - 27. Let d be m(-8). Let k = d + -263. Solve 7*l = k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 - 5*p. Let d(g) = -8*g**2 + 4*g. Let l(z) = -5*d(z) - 4*i(z). Let t(b) be the first derivative of -b**2 - 8. Give l(t(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and -27\/2591.\nAnswer: 10364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose 4*y = r*x + 12, 3*x - 5*y + 2 + 13 = 0. Solve 2*i + i - 15 = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suuuusbubusbu. Give prob of picking 2 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*a - 1479 = -0*a, -a - 980 = -2*z. Suppose -r + z + 6 = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -72. Let t = -22 - g. Suppose 9*p = 6*p - t, 3*n - 5*p - 187 = 0. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/403, -15.88 in increasing order.\nAnswer: -15.88, -3\/403, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333081388.\nAnswer: 2, 67, 1242841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 + 436. Let s be (w\/9)\/(12\/18). What are the prime factors of 1755\/s + (-2)\/(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*u - 350*u - 205810 = 1070*u - 561*u for u.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316*x**3 - 299*x**3 - x - 15 + x wrt x.\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 10) in base 15?\nAnswer: -e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = r. Suppose -a + 1 = r. Let n be 0 - 0 - (0 - -2). Is a at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(6)\/sqrt(2) + 4)**2.\nAnswer: 16*sqrt(3) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6423 + -6379. Calculate the greatest common divisor of d and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 1. Let r be v(-2). Solve 3*i = -2*m + 1 + r, 0 = -m - 2*i + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/2 - 10*4\/20. Let q be (-4)\/y*2\/8. Factor q*l**2 + l + 3\/2.\nAnswer: (l + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 25. Suppose 14*s = x*s + 34. Let w(a) = a**3 - 17*a**2 + 22*a + 5. Is w(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from kkkuukukulu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65754 + -17488171\/266. Let r = 103\/38 - p. Let i = -206\/35 - r. Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2.9\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.087463*-0.3\nAnswer: -0.9262389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = -341 - 223 + 108 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide ((-4)\/((-64)\/(-84)))\/(114\/(-221160))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 268*x - 272*x - 60 = 0, 4*x + 43 = 3*v. Solve 0 = -24*o - 7 - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22578.858 months in years?\nAnswer: 1881.5715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-3))\/1)\/((-32)\/48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -14068.\nAnswer: 39\/7034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185079 = -28*t + 186031 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 36 = -3*c, -5*c + 50 = 5*p - 2*c. Let q(r) = r**3 - 12*r**2 + 6*r + 9. Let l(o) = -o**2. Let k(f) = -4*l(f) + q(f). Determine k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-1)\/8 + (-15)\/72). Suppose -519 = -3*o - 4*m, 0 = m - a*m - 3. What are the prime factors of o?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 20*k**2 - 5*k + 25558. What are the prime factors of d(0)?\nAnswer: 2, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -4) + (-26551)\/168. Let n = p + 152. Which is the nearest to 2? (a) 3 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b + -208a06?\nAnswer: -208a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {b: 7, u: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, i: 3}. What is prob of picking 1 i and 1 b?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3809, 7614, 11417, 15218?\n\"Answer: -y**2 + 3808*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**(4\/15)*i*i**(1\/5)*i**(-5\/6) assuming i is positive.\nAnswer: i**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 plus -11?\nAnswer: -11.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -4) + (-8)\/4 + 1. Is -3 + (5 - k) - (-672)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1079040 = 217*a - 57*a. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317682395 to the power of 1\/2, to the nearest integer?\nAnswer: 17824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -35*r**2 + 6*r + 7. Let v(s) = -36*s**2 + 5*s + 6. Give 5*a(u) - 6*v(u).\nAnswer: 41*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 67700 = -2*s, -3*l = -2 - 4. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159507056 and 1476?\nAnswer: 1435563504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(4\/(-30) - 0). Let o = 20 + y. Calculate the smallest common multiple of 33 and o.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/40 - 79*t**5\/180 + 3*t**4\/4 + 8*t**3\/9 - 459*t**2. Suppose c(b) = 0. Calculate b.\nAnswer: -2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, t: 8, y: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose b*n - 5*n + 30 = 2*m, 4*m = 20. Suppose -3*i + 2*q = 10, 4*q = -2*i + 2*q + 10. Solve -n*g + 20 = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 p when three letters picked without replacement from {l: 3, c: 1, d: 2, g: 1, p: 10}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35513 - 35353. What is the lowest common multiple of b and 896?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-5604.\nAnswer: 1120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.07 - -1.0928. Round s to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.13, 2\/7, 0.5, -5.4?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/(o*o**(-2))*((o\/(o**(-1\/2)*o*o))\/o*o)\/o**(-1\/4)*((o\/(o*o*o**1*o*o))**(-30))**(6\/5) assuming o is positive.\nAnswer: o**(603\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.39? (a) -9 (b) 9 (c) 37 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*k**3*z - 11754*k**3 + 2*k**2 - 71*k*z + 2 wrt z.\nAnswer: 22*k**3 - 71*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-34 - -11 - -27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/9)\/(-4*(-8)\/16)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/5 + 3927*d**3\/5 + 130473*d**2\/5 + 163909*d + 138600 = 0.\nAnswer: -25, -7, -1, 3960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - 86\/(-6). Calculate the remainder when 6 is divided by (-24)\/d*(-15)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 0.4, 9.40073.\nAnswer: -124, 0.4, 9.40073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from qsks.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207523761.\nAnswer: 3, 6491, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -452, -1482, -3466, -6722?\n\"Answer: -53*s**3 - 23*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 9*x**2 + 7*x - 1. Let i be a(-7). Let z(s) = -i*s + 21*s + 19*s. Is z(-7) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 0*y - y - 2*y. Let h(x) = x**2. Give h(s(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 1394 = -5*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {a: 5, n: 2, l: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let a(k) be the third derivative of 0 - 4*k**2 + 0*k**3 - 1\/12*k**4 + 0*k. Give x(a(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*n - 547*n + 266*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - ((sqrt(104) - (2*sqrt(104)*5 - sqrt(104))) + sqrt(104) - sqrt(104))) + sqrt(104))\/(-5*sqrt(32)\/sqrt(4)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -5\/3*u**3 + 10*u + 0*u**2 - 10. Let l(i) = 2*i**2. Calculate v(l(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - (1 + 2 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 26*v**2 - 35*v - 51. Let w(c) = 5*c**2 - 7*c - 10. Suppose 0 = 4*m - 53 + 9. Let n(s) = m*w(s) - 2*o(s). What are the prime factors of n(6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cerrccrcmmbcm. Give prob of sequence cm.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95222*g**4 - 1142*g**3 + 417157246*g.\nAnswer: 1142664*g**2 - 6852*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11234 - 11342.34. Let a = x - -7.74. Let q = a + 88. Round q to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 - k**2)*((-4 + 3 + 0)*(44 + 698*k - 352*k - 348*k) + 3*k - 3*k + k - 4*k + k + k + 2*k + 2 - 2 + (-5 + 3 + 0)*(-4*k - k + 4*k)).\nAnswer: 5*k**3 - 44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -302\/3. Let j be ((-10)\/(-9))\/((-210)\/(-252)). Factor j*x**5 + 44\/3*x**3 - 8*x**4 + 32\/3 - w*x**2 - 16*x.\nAnswer: 4*(x - 2)**3*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.1113 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33036 + -55?\nAnswer: -33124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s + 1. Let g be c(-2). Suppose -g*t + 13728 = -5*t. Is 78 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 7*y + 6. What is the remainder when o(-6) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*j + 24 = 0, 2*j - 20 = -l - 2*j. Let z be l\/(-2) - (-16 - -10). Suppose -4*q + 7 = -z*d - 5, -d - 3*q + 17 = 0. Is 1\/3 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -12?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 21 = 5*y, -g - 1 - 5 = -y. Let i(x) = 3 + y - 4 - 3 + x. Let t be (-3)\/(-2)*-2*1. Give i(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(((-42)\/15)\/(8\/(-40)) + -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hih when three letters picked without replacement from jijhliihiihli.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 - 1)*(-2*a + 2*a + a) + 7 + 3*a - 7)*(9 + 24 - 2) in the form w*a + g and give w.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -6 - (-2 - -2)) + 5 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112211100121 - -12221?\nAnswer: 112211120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 + 6*m**3 + 42*m**2 - 63*m**3 - 10 + 4 wrt m.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1004 * 0.3\nAnswer: -301.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 26*a**2\/5 - 92*a\/5 + 96\/5.\nAnswer: -2*(a - 8)*(a - 3)*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -3, -4, 0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 448, 1513, 2882, 4237, 5260, 5633, 5038?\n\"Answer: -53*o**3 + 470*o**2 + 26*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52518 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3368377, 6736758, 10105139, 13473520, 16841901, 20210282?\n\"Answer: 3368381*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7596 and 20889.\nAnswer: 83556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3)*(-1275)\/(-6). Let d = 116 + s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) 4\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + 11*f + 1. Let q(w) = 6*w**2 + 12*w + 1. Let o(b) = 5*k(b) - 4*q(b). Let j be 16\/((-320)\/90) - 2\/(-4). Give o(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/1050*-15)\/(3\/(-7)). Let d be -177*(0 - 12\/20). Let l = d - 107. Sort r, l, -5 in ascending order.\nAnswer: -5, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:28 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 107.22071?\nAnswer: 107.52071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*c**4 + c**2 + 44*c - 7083.\nAnswer: 52*c**3 + 2*c + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159671 is divided by 159332?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*h = 46, 2*m + 3*h - 12 = -h. Let k be m\/(-15)*3\/(-2). Let q(s) = s**2 + 8*s + 8. Let d be q(-6). What is the second smallest value in -2, d, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/70 + 9*v**5\/140 + v**4\/7 - 167*v. Factor x(w).\nAnswer: -3*w**2*(w - 4)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15329267 and -0.18.\nAnswer: -2759268.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*i - 4. Let g be -2 + 6*20\/i. Let y = g - 10. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/2 - -2). Sort 0.4, a, 14.\nAnswer: a, 0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 283*d + 2 - 1 = 284*d, -16*d + 34 - 10 = -40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 5 (b) -2\/1159 (c) -9 (d) -0.043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 20 = 5*f, 5 = -m + 4*f - 11 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1714 - 1707. Solve 14 = q*u + 7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1959 = 2*m - n, 1989 = 2*m - 0*m + 5*n. Let c = -441 + m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3, -28, -2\/105, 3?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/63)\/(12\/1404). Solve 2*q - 28 = -5*l, 0 = -f*q + 14*q - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 - 4*p - 3. Suppose -3*g + 2*h = -1, 3*g + 3*h = -g - 27. Give k(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)*h*h**(-4))\/(h\/(h*h**(3\/5)*h*h)*h**1) assuming h is positive.\nAnswer: h**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*q - 3 = -1, 0 = -5*p + 3*q + 16. Solve p*g - 8 = -3*u, u + g + 4*g = 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-55\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 215*j**2 - 663*j - 1898. Calculate u(-218).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y**3 - 2*y**2 + 12*y + 68. Is 132 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 116*x**3 + 146. Let v(f) = -23*f**3 - 29. Let q(j) = -16*v(j) - 3*y(j). Differentiate q(l) with respect to l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.36 + 6.51?\nAnswer: 7.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -220694 + 220695. Let y = 1 - 1. Which is the fourth biggest value? (a) k (b) -5 (c) y (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -291*o**2 - 445233*o\/2 + 221757 = 0?\nAnswer: -766, 193\/194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 47. Suppose 4*r - 9 = -q, -r = -2*q + 3*q. Let d(k) = 17*k - 4. What is the remainder when d(r) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8*f + 9*f - 2922, 0 = 3*j - 4*f - 2201. What are the prime factors of j?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 - 18*u**2 + 27*u**3 + 7*u**3.\nAnswer: 34*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -521, 217, -3, 0 in descending order.\nAnswer: 217, 0, -3, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17.4. Let q = -670.5 + 671. Which is the second biggest value? (a) w (b) 0.1 (c) -4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*a + 242 = -552, 2*a - 1604 = -2*y. Let k be (((-20)\/2)\/2)\/(-1). What is the tens digit of ((-2)\/(-5))\/(k\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137497998.\nAnswer: 2, 3, 11, 163, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 17 + 18 + 22 + 22.\nAnswer: -3*y + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**2 - 23*x - 17. Let b = 5 - 11. Let y(h) = 4*h**2 - 8*h - 6. Let q(s) = b*l(s) + 17*y(s). Factor q(c).\nAnswer: 2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2556290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let x(w) = -h*w + 4*w - w**2 - 4*w**2 + w**3. Is x(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m. Let n(f) = -13*f. What is 10*c(g) - 6*n(g)?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w + w - 574. Suppose 3*u + w - 44 = 0. Solve 0 = d - 0*d - u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. Let v = 6 - s. Solve -j + 5*r + 20 = v, 3*r + 0*r + 25 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let x = d - -1. Let n = 2 + x. What is the remainder when 6 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**(-1\/4)*k*k)\/k*k)\/k))**36*(k\/k**(4\/7))**(-1\/6) assuming k is positive.\nAnswer: k**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -9 = -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1.91. Let d = 0 + i. Let l = d - 0.089931. What is l rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0 + 4 - 2)*(-m**3 + 11 - 11).\nAnswer: -m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let s = t + -1. Solve -s*k + 6 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2057) - (sqrt(2057) + 1) - sqrt(2057))**2.\nAnswer: 22*sqrt(17) + 2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)\/o)**(-2\/55)\/((o\/(o*(o**(8\/7)\/o)\/o*o*o)*o)\/(((o\/(o*o\/(o**(-2\/5)\/o))*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-248\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82989, -82995, -83011, -83043, -83097, -83179?\nAnswer: -83295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59773 is divided by 3133?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -2692?\nAnswer: -2696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822.\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 1085 = -10*i + 1055, -13*i = 2*u - 33 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 895 - 752. 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: Is 1148 a factor of 123917699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.1 in 7\/6, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*64\/(-1680)*7.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = -28. Let u(o) = o**2 + 9*o + 15. Let h be u(w). Let g = -11\/4 - -19\/8. Which is the second smallest value? (a) h (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppgp when four letters picked without replacement from pgxxs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-48) + 62292\/(-5568)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50356234*j - 108583724 with respect to j.\nAnswer: 50356234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-3))\/(y\/(y**(1\/5)*y)))\/(y*y**(-3\/2)*y*y**(-6)) assuming y is positive.\nAnswer: y**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, q: 1}. What is prob of sequence qq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415463348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74102480.\nAnswer: 2, 5, 53, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 3, a: 1, l: 1, z: 3, u: 1, i: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -17. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 5691267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:58 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 - 3 + 3*l - l**2 + 2. Give g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*v**2 + 1080*v**2 - 220*v**2 - 219*v**2 - 216*v**2 - 209*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -37)\/(0 + 6\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9894*r**3 - 4871*r**3 - 5058*r**3.\nAnswer: -35*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102356 by -119.\nAnswer: -102356\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299\/125 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Let x = 122996 + -122995.5. What is the smallest value in x, -2\/13, 3, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*w + 107*w = 20. Suppose -2*t - 1 = 5*o, -w*t + o + 0*o = -11. Solve 5*f + 15 = -5*d, 0 = d + d - t*f + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11197065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45 and -161.885.\nAnswer: -72.84825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*u - 4 - 3, -2*v = u - 2. Suppose -4 = v*t - 4*t. Suppose 0 = -7*y + 4*y. Solve 0 = -y*d - d - t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-5 - (-2)\/2. Let a(m) = -m**3 - 3*m**2 + 26*m - 14. Let y be a(-7). Put 1, y, b in decreasing order.\nAnswer: 1, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4092085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400)*-3 + -2)**2*5 + -2*((0 + sqrt(4400) + -3)**2 + sqrt(4400)).\nAnswer: 1400*sqrt(11) + 189202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42739 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 4. Suppose -9*p + 27 = -0*p. Let v be m(p). Let q be 1*v*(616\/208 + -3). Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - x. Let j be y(1). Suppose 2*l + l + 5*f = 5390, -2*l + j*f + 3587 = 0. Does 44 divide 7\/(70\/l) - (-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168*b**5 + 37*b**5 - 914*b**4 + 914*b**4 + (0*b**4 + 0*b**4 + 2*b**4)*(64 + 17*b - 64)*(2 - 2 - 1).\nAnswer: 171*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-2)\/15)\/(20\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493435 to the power of 1\/2, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q + 18. Suppose -2*z - z = -q. Suppose -l - z*l = -21. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w - 1702 + 1702 + (w + 2*w - 6*w)*(2 - 1 - 3))*(4 - 1 - 1)*(3*w - 5*w + 4*w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17894034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -43, -1\/8, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 - 36*u - 81. Let b be n(9). Let l(s) = 15*s**2 + s - 1. Let a be l(1). Is b smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3348.997 - -3351. Let g = l + -0.82. Let y = 0.063 - g. What is y rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:56 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2 - (3 + -6). Let z(i) = -i**2 + 5*i + 6. Let b be z(6). Solve o*q = -b + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34250981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 0*l + l. Let t be (3 - 6)\/(3\/(-2)). Let o(r) = -4*r**2 + 4*r**2 - r**t. Calculate o(y(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -397287\/10 - -39729. Suppose 0 = -7*a + 4*a. Sort 0.5, a, o.\nAnswer: a, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (1 + sqrt(2)*2) - (3 + (sqrt(8)\/sqrt(4) - sqrt(2)))) + 3 + sqrt(288)*1 + 1 + (sqrt(54)\/sqrt(3) + (sqrt(64)\/sqrt(4))\/sqrt(8))*-6)**2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -9*p + 1\/4*p**2 + 1\/6*p**4 + 0 + 5\/12*p**3. Factor n(f).\nAnswer: (f + 1)*(4*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -21 - (-3 + 1) - (0 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-4)*-2*10. Suppose -a = -2 - s. Suppose -5*l - u + 81 = 0, l + u + 22 = 39. Calculate the remainder when a is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.033 + -0.065. What is u rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110 (base 2) to base 13.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 - b + 1. Let o(a) = 5*a**3 - 8*a**2 - 27*a + 16. Let w(p) = -4*g(p) + o(p). Calculate w(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {u: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -55*j + 49*j. Solve 7 = -3*t + j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -8)*10\/4*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvr when three letters picked without replacement from {u: 2, z: 2, r: 1, v: 2, w: 5, t: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -287731035 divided by -153?\nAnswer: 1880595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 0.271?\nAnswer: -3.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y + 4*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 815, 822, 833, 848, 867, 890, 917?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 232673357.\nAnswer: 232673357.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n + 32 = -90*n + 5*i + 86, 5*n = 3*i + 42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (511*i - 195*i + 124*i)*(-5 + i + 2*i + 7) as q + w*i + d*i**2 and give d.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m**(2\/17)*(m\/(m*m**1))**(-49))**11 assuming m is positive.\nAnswer: m**(10307\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - -13. Suppose -3*r = 4*l - 8*l - 23, 0 = -r - 5*l + 14. Solve 5*x + r = k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42712.61mg in nanograms?\nAnswer: 42712610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 - -1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 8}. Give prob of sequence mm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*u - 2 - 169*u - 86*u)*(9 + 12 - 14)*(2*u + 3 - 3)*((1 + 1 - 3)*(2 + 1 - 4) - 5 + 5 - 4) in the form i*u + j*u**2 + d and give j.\nAnswer: 8610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m**4 + 14760*m**3 - 330905*m**2 + 224640*m + 91540 = 0 for m.\nAnswer: -2\/7, 1, 23, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -36*p**2 - 2*p + 2. Suppose 5*y - 4*c = 9, 4*y - 10 = -y + 5*c. Let f be w(y). Let i = 39 + f. Solve -2*n + 8 = l - 2, -i*n + 8 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/2 + -1)*(-37 - 2749) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -625.74 and 0.3.\nAnswer: -625.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 b, and 1 x when three letters picked without replacement from {l: 1, n: 5, x: 2, b: 3, t: 2, g: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.2. Let s = u + 1.9. Let z be (18\/63)\/(2\/4 - 111\/42). Which is the biggest value? (a) z (b) s (c) 0 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055684 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15525\/(-8343)) + 7*8\/3864*6?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -13*f**6\/30 - 4*f**3\/3 - 97*f - 48. Let d(w) be the first derivative of i(w). What is the second derivative of d(k) wrt k?\nAnswer: -156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/180 - y**5\/60 - 5*y**4\/24 - y**3\/2 - y. Let p(f) be the second derivative of x(f). Is 6 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5790 - 5387. Calculate the greatest common divisor of 248 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4454, -4455, -4456?\n\"Answer: -g - 4453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/15192212 and -23\/10851580?\nAnswer: 75961060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/5 - 1*-2. Let r = 15.4 + -15. Which is the third biggest value? (a) r (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2272761 and 684?\nAnswer: 9091044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*o = 17, 3*p - 2*p - 3*o - 14 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 6\/(-4))*0. Suppose -24 = 2*f - h*f. Is (-807)\/f + 2\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -18) + 21*(-9322)\/12390.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33762115 - -5?\nAnswer: 33762122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3\/1) - -26. Suppose -27*b + s*b = -4. What is the least common multiple of b and (-45)\/(-2)*(-1 - (-70)\/30)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03361 and -4?\nAnswer: 0.13444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 292, 11964 in descending order.\nAnswer: 11964, 292, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uul when three letters picked without replacement from {u: 10, e: 1, t: 1, l: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -60*b**2 + 18*b - 26. Let z be w(4). Let x = -6660\/7 - z. Is x bigger than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-2190.6.\nAnswer: -1971.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 412, 378, 330, 268, 192, 102, -2?\n\"Answer: -7*x**2 - 13*x + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:44 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 142*g**2 + 172*g + 38. Let s be l(-18). What is s rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16540062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - sqrt(171)*-3)*-1 + sqrt(171) + 5*-1*sqrt(171))\/((sqrt(3600) + 1*sqrt(3600) + sqrt(3600))*4).\nAnswer: -7*sqrt(19)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + ((-808404)\/322)\/(-58)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -214*t - 1939. Let i be w(-24). What is the greatest common divisor of i and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701684250?\nAnswer: 2, 5, 7, 53, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 6 + 14. Let t = x + -7. What are the prime factors of ((-12)\/(-3))\/(t\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524480189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x + 8*x + 1 + 1475*x**2 - 1474*x**2 - 6 + 7*x. Calculate n(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 281853, 281864, 281901, 281982, 282125?\n\"Answer: 3*u**3 - 5*u**2 + 5*u + 281850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 198422024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3433 - 20?\nAnswer: -3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19*l**2 + 23*l + 6. What are the prime factors of h(-9)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Let c(v) = 0 - r*v + 3*v - 1 + 3*v. Determine c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191989*o - 191989*o + 307*o**3)*(-2 - 198*o**2 + 1 - 1 + 2).\nAnswer: -60786*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 6, i: 2, b: 4, t: 3}. Give prob of picking 2 t.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m**2 - 11. Let p be (-2)\/2 - (17 - 87). Let j = p + -56. Let b(r) = 8*r**2 + 5. Give j*b(l) + 6*h(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*r = -1599 - 597. Solve -4*f = 5*t - r, 0*f = 3*t - 3*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75712193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 6, c - 2*u = -2*c + 39. Solve -3*g = -2*a - c, -2*a - g - g + 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1165 + 3218. Let z = x + -1403. Round z to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - 6 - (0 + 3). Let z(m) = m**3 - 3*m**2 + 3*m. Let s be z(o). Suppose -16*p = -7*p - s. Solve -2*w = -f, 2*w - 2*f = -3 + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/239538 and 43\/45991296?\nAnswer: 45991296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 2*a**2 - 5*a - 2. Let z be d(-3). Suppose 5*b - 74 = z*l, 2*b - 28 = -5*l + 28. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053*u - 2*u**3 - 12*u**3 + 527*u + 686*u.\nAnswer: -14*u**3 + 160*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70047509 by -10006787.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(((-153)\/96)\/(-17)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17473 (base 10) to base 8\nAnswer: -42101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -501 - -503. Suppose -4*d + 2 = -10. Factor -15*k**4 - k**2 + k**t - 12*k**5 - d*k**3.\nAnswer: -3*k**3*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 42 = 46. Suppose 4*o + 4*x = -v, 13 = -0*o - 3*o + 4*x. Suppose -2*c = -4*c - 4. Sort c, -5, o in descending order.\nAnswer: c, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -37, 33, 38 in decreasing order.\nAnswer: 38, 33, 17, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - (-1 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 21*h - 10581004. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33868\/3 equal to -2893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9011 and 852413567?\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/5 - 391*b**3 - 21586*b**2\/5 - 78592*b\/5 - 94368\/5 = 0. What is b?\nAnswer: -4, -3, 1966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237094 is divided by 235540.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6208125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -5*t + 3*a - 7, -4*a - 17 = -t. Solve k - t = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619.3 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d - 6*d - 2*d**2 + 0*d to the form v + l*d + s*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320*q + 278*q + 151*q)*((-2*q + q - 4*q)*(1 - 2 + 0) - 4*q + 6*q - q + q + q + 0*q + (1 - 1 - q)*(4 + 0 - 3)).\nAnswer: 763*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151118 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: Put -3, 4, 2, -4, -116576, 3, 1 in increasing order.\nAnswer: -116576, -4, -3, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/(-40)*(-10)\/(-4). Let m be 5\/6 - 2\/c. Factor 0 + m*v**2 - 1\/3*v.\nAnswer: v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12139 - 12138. Is 98\/79 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1648584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 5a98777?\nAnswer: 5a98778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**4\/s)\/s)**(-5\/7))**(3\/38) assuming s is positive.\nAnswer: s**(-45\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4045702 + 12?\nAnswer: 4045714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**7\/10080 - n**6\/960 - n**5\/240 - n**4\/12 - 13*n**2. Let g(t) be the second derivative of j(t). Factor g(z).\nAnswer: -(z + 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1770 divided by 9793\nAnswer: -1770\/9793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 6, d: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92984 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: Let d(z) = 22*z**2 - 10 + 135*z - 7*z**2 - 131*z - 13*z**2. Give d(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*c - 12 = 10, 15 = -3*c. Suppose 0 = -r + 6*q - 2*q + 28, -5*r - 4*q = -44. Calculate the remainder when z\/(0 + 2) - -1 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5782193?\nAnswer: 17, 340129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -291*p - 5. Determine g(5).\nAnswer: -1460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*d + 15, 4*d + 30 - 41 = -3*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 15. Solve y*p - 4 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 146*g + 7. What is d(-1)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 82. Let k be (z\/4)\/3*2. Let b = -31 - -31. Solve n = -b*n - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -14*m**3\/3 - 6*m. Is g(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g - 644*g + 369 + 1455 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 3, j: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29715755221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9456 bigger than 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*o + 281 - 13. Put 28, 6, o in descending order.\nAnswer: 28, 6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**5 + 325*g**4 + 18200*g**3 + 143975*g**2 + 21900*g - 769860 = 0. Calculate g.\nAnswer: -13, -47\/4, -3, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6215 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.571 nanograms to grams.\nAnswer: 0.000000376571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/5 + 18*m**3\/5 - 8*m**2 = 0 for m.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4 - 2*g**3\/3 + 2*g**2 - 3*g - 294. Let j(q) = 9*q**3 - 5*q**2 + 9*q - 6. Calculate -2*j(r) + 5*n(r).\nAnswer: 2*r**3 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 244\/8*6\/(-3). Suppose 0 = 2*o - 14 + 4, -3*w = -5*o - 359. Let l = w + n. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d. Suppose 0 = 11*g + 84 - 40. What is a(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112121 - 12332?\nAnswer: -131113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9441672*c**2 - 12295*c + 1880 wrt c?\nAnswer: 18883344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o = -30. Suppose 2*l - o = -0*l. Suppose 0 = s + l*f - 124 - 86, -780 = -4*s + 3*f. What is the greatest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3804765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*x**2 + 17*x**2 - 3*x**2)*(0*x + 3*x - x) + (1 - 1 + 2*x)*(4*x**2 + 0*x**2 - 3*x**2) - 1 + 1 + 2*x**3 as w*x + k*x**3 + q*x**2 + m and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48233.61 centimeters?\nAnswer: 482336100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 + 6*m**2 + m + 4. Let u(f) = -f**3 - f**2 - f - 1. What is -i(x) - 4*u(x)?\nAnswer: -x**3 - 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 21*y**2 + 37*y + 15. Let t be v(-12). Let r(w) = 3*w**2 - 2*w + 3. Let m(f) = 3*f**2 - f + 3. Calculate t*r(u) - 4*m(u).\nAnswer: -3*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43158 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 10\/13, -3\/5, 0 in decreasing order.\nAnswer: 10\/13, 0.1, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.08, 235, -1\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*2*sqrt(2057) + sqrt(2057))*1)**2.\nAnswer: 403172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*k + 4 = 0, 3*r - 2*k = 3 + 7. Let h(m) = 4*m**2 + 1. Let z be h(1). Suppose -z*g = -r*g - 6. Solve -4*x + 29 = 5*v, -v = -g*x - 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/17)*c)**(3\/4) assuming c is positive.\nAnswer: c**(27\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-150)*55 + 2\/(-5). Suppose a - 2 + 1 = 0. What is the closest to a in s, 2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 + 767195900*d - 29429477448840500 = 0.\nAnswer: 76719590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29211*b**5 - 3*b**4 - 2*b**2 - 13*b + 111?\nAnswer: -584220*b**3 - 36*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 45671.8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72, 135, 214, 315, 444, 607, 810?\n\"Answer: h**3 + 2*h**2 + 50*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -30*q + 449. Let m be d(12). Is m smaller than 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*o**3 + 239*o**3 + 229*o**3.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**7\/840 + d**6\/360 + d**5\/120 + d**3\/3 + d**2. Let s(n) be the first derivative of l(n). Let b be s(-1). Is b >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6687, -26734, -60145, -106920, -167059?\nAnswer: -240562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*a**2 - 4*a**2 - a**2)*(-3*a - 1 + 1) + 826 - 2*a - 51*a**3 - 826)*(-3*a + 0*a + 2*a).\nAnswer: 18*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*w - 3*w - 5*t, 2*t + 136 = 3*w. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/15270 (b) -10\/7 (c) -3\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 27*d + 580. Let t be u(-28). Is t bigger than -1224\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 211, -5 in ascending order.\nAnswer: -5, 30, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**8\/10080 - x**5\/30 - x**2. Let z(w) be the third derivative of i(w). Let m(y) = -2*y**2. Give m(z(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17039224?\nAnswer: 2, 2129903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9294 divided by 3.\nAnswer: -3098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 813 and 24390?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3753273*w**3 - 63*w**2 - 3060?\nAnswer: -22519638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114189 = 46*z - 11207. List the prime factors of z.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.21 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124454982.\nAnswer: 2, 7, 80318213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324 + 346*d + 327 - 651.\nAnswer: 346*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 - 70)\/((-4)\/((-32)\/(-3))).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 5:13 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2319 + -27805\/12. Let p = -2146\/15 + 138. Calculate the common denominator of g and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + -267. Let i = 3313\/11 + u. Let d = 0 + -2. Which is the nearest to -0.2? (a) d (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2213*a - 2210*a + 0.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17848326 divided by 2382?\nAnswer: -7493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -890630 + -1?\nAnswer: -890631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7*k - 12. Let s be (-1*(-1)\/k)\/(7\/28). Find the second derivative of 7*c + 40*c - s*c**5 - 25*c**5 - 13*c**5 wrt c.\nAnswer: -800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*w - 201 = 203, 3*z - 2*w = 574. Let v = -77 + z. Calculate the highest common factor of v and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021120 (base 3) to base 7.\nAnswer: 4563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 1244297?\nAnswer: 1244297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.0636\nAnswer: -0.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2. Let o(d) = 15233*d**2 - 23. Calculate o(a(t)).\nAnswer: 243728*t**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.02 (b) -0.307 (c) -0.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4660 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*(-2*sqrt(180) + sqrt(180)) + (sqrt(180) - ((sqrt(180) - 2*sqrt(180)) + -5)) + sqrt(180))*4*-6)**2.\nAnswer: 276480*sqrt(5) + 6649920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.296111 kilometers in micrometers?\nAnswer: 296111000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710\/(-1988)*12\/(-5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**5*f*f\/f**(1\/5))\/(f**1\/f)**15 assuming f is positive.\nAnswer: f**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a8a8 (base 13) to base 14.\nAnswer: 44841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33711 and 3774.\nAnswer: 2494614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -4*t + i, -2*t - 3*i = -t - 68. Calculate the remainder when t is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*i**5 - 176*i**2 wrt i?\nAnswer: -13140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let w be h(-7). Let z = w - -11. Suppose -i = r - 5, -r - 10 = -z*i - 0*r. Solve 0 = -d - i - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 8) to base 2\nAnswer: -1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (sqrt(120)\/sqrt(6))\/sqrt(10) - (2 + ((sqrt(32)*-1 - sqrt(32)) + -2)**2).\nAnswer: -139 - 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(-2947*j - 94 + 93 - 2)*(0*j - 2*j - 3*j) as r*j**2 + z + f*j and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14343485890 rounded to the nearest 1000000?\nAnswer: 14343000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-21)\/56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008759 rounded to 4 decimal places?\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22143 + 2?\nAnswer: -22141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 35. Solve -b + 11 = -4*d + 3, -2*d - p = 5*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 7*s. Let c(z) be the second derivative of 15*z + 0*z**2 + z**3 - 1\/6*z**4 + 0. Calculate -7*c(n) - 6*i(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**7\/6 - 13*q**6\/15 - 86*q**5\/5 - 220*q**4\/3 - 392*q**3\/3 - 80*q**2 + 18*q - 7. Factor a(r).\nAnswer: (r - 10)*(r + 2)**3*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose -3*r + o = -4. Suppose v = 4*f - 19, v - 11 = -0*v - r*f. Are v and 1.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 2*d**7\/105 - d**6\/20 - 13*d**5\/3 + 32*d**2. What is the third derivative of o(n) wrt n?\nAnswer: 96*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -6\/520229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 12*q**2 - q + 6. Let m be c(12). Let b be 8\/m + (-48)\/(-36). Solve -4*l = b, -3*h + 3 = -2*h + l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 6*w**2 + 45*w + 19. Let o be c(-10). Let z = o - -837. Let k(n) = -n**3 + 8*n**2 - 9*n + 4. Give k(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -39. Which is the nearest to 4? (a) 0.5 (b) -2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99216 and 39624?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(1300)))**2 + -5 + -3 + sqrt(832).\nAnswer: 168*sqrt(13) + 5208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -28. Let h = c - 6. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6435105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l + 27 = 4*z, 3*z = l + 19. Suppose -15 = -u - 3*f + z*f, 0 = -3*u - 2*f + 34. List the prime factors of (-3)\/9 + 40\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let r = 1 - 6. Sort -1, x, r in decreasing order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2540047.635000598 + 2540050.635. Let n = q + -3. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678185429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11135386\/21 <= -530255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*k + 19 = 3*z - 887*k, -5*k + 32 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0040477 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/56 in -5, -1\/314, -1.1, 4, -16?\nAnswer: -1\/314","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*c - y + 265 + 1150 = -0*y, 2*c - 299*y = -294*y - 28 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1100) + (sqrt(1100) - (sqrt(1100) - -2*sqrt(1100))) - sqrt(1100)).\nAnswer: -20*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1470)\/290 - 14\/(-203). Let t = -1 + -6. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194*n**4 - 79*n.\nAnswer: 2328*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkug when four letters picked without replacement from ugggukgugur?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1663642, 1663641, 1663640, 1663639?\n\"Answer: -n + 1663643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzgt when four letters picked without replacement from zlrkrrlkrtrtzgtkgr?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19640*o + 19655*o + 9.\nAnswer: 15*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -z - 31, -n - 2*n + 5*z + 50 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/34884 and 107\/272916.\nAnswer: 4639572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 2*l**3 + 5*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -80. Let l be (s\/310)\/((-7)\/(1155\/(-18))). Let o = 666\/403 + l. What is the common denominator of o and 37\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 33000*y - 54450000.\nAnswer: -5*(y + 3300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3922576 divided by -5\nAnswer: -3922576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**4*x + 10*a**2*x**2 + 22*a*x**2 - 4*a*x wrt a?\nAnswer: -132*a**2*x + 20*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**3\/3 + 1988*y**2 - 72004*y\/3 + 70140 = 0.\nAnswer: -1503, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043704253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 260\/3. Let g = -7 - -2. Which is the nearest to p? (a) 1 (b) g (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n + 18. Let j be w(0). What is the smallest value in j, 2\/9, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 + (-200)\/(-11). Suppose -5*z + 7 = -b. Let v(c) = -c**3 + 4*c**2 + 2*c + 4. Let f be v(4). Solve z*l = 8 + f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184777648 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 7, l: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-10)*-26 + 3\/5. List the prime factors of (1 + t\/(-18))\/(2\/(-132)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 41*y + 206 = 0, -106*i - 3*y - 19 = -102*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/85 + 53\/170. Put -1, i, -3, 4 in increasing order.\nAnswer: -3, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 + 1848*u**3 + 211117*u**2 + 209733*u + 52318 = 0. What is u?\nAnswer: -259, -202, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/60 and (42\/180*-3)\/((-8)\/(-65))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 at most 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.4. Let l = -4.7 - -2.7. Sort l, s, -2\/13 in increasing order.\nAnswer: l, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4\/7))\/g**1)\/(g**(-6)*g)**(-1) assuming g is positive.\nAnswer: g**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 91993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let b(v) be the second derivative of -2*v**3\/3 + v**2\/2 + 10*v. Give b(j) - 2*o(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8405, -33163, -74407, -132143, -206377, -297115?\nAnswer: -404363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1529847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -370*t**3 - 2*t**2 - 4*t - 3. List the prime factors of o(-1).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - -2 - 1) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4 - 2596*a**3 - 1626195*a**2 + 76784400*a + 78408000 = 0.\nAnswer: -1320, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -936, -0.4?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.8269 meters in millimeters?\nAnswer: 453826.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 + 17*v**2 - 27*v + 5. Calculate m(6).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*p + 3 - 2 - 76*p + 183*p to the form t*p + s and give t.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 69570.33 weeks?\nAnswer: 701268926.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + i = -26, i = u + 5*i - 15. Let t(q) = 2*q - u*q - 4 - 2 - q**2. Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.6, -3, 227, -5.\nAnswer: -5, -3, -0.6, 1\/4, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -4. Suppose 52*s + 28 - 249 = 91. Suppose s*q + o = -112. Is -1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183837.\nAnswer: 3, 233, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004849612 to six decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than 19.733875617?\nAnswer: 19.133875617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - t - 2 = 2*t, 0 = -5*t + 10. Suppose 0 = -4*w - 2*k + 1050, -3*k = c*w - w - 795. Suppose 9*l - w = 4*l. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-800)\/(-870))\/(-8))\/(165\/(-99)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 18*s**2 - 5*s**2 - 7*s**3 - 15*s**2 - s - 14*s**2.\nAnswer: -7*s**3 - 52*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (44\/1320)\/((-3)\/(-12))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + (-801)\/623. Which is the nearest to 7? (a) h (b) 1\/30 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -3*n + 24. What is the second smallest value in 1\/5, 137, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 54. Let u be ((-44)\/(-6))\/(6\/f). Let x = -14 + u. Calculate the remainder when 14 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) + 4 + 884\/(-240).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46796\/165 - 1417\/5. Let m(x) = -13*x - 34. Let b be m(2). Calculate the common denominator of (218\/18)\/(40\/b) and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -379*s + 58. Calculate the remainder when 2839 is divided by o(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(325) + (2*(sqrt(325) + -1) - sqrt(325))))**2.\nAnswer: -1000*sqrt(13) + 32600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 10*w**2 - 29*w + 51. Give z(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from vwyssppn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 58*t + 67. Determine x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4053?\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 21, 28, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 16*v. Let l be s(-5). What is the units digit of (100\/(-15))\/l*-3 + 277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let g(u) = -6*u - j*u + 12*u - 3*u - 1. Let q(i) = -8*i + 6. Let v(f) = 2*f**3 - 5*f**2 + 2*f - 1. Let w be v(3). What is w*g(h) + 2*q(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 3*z**4 - 4*z**4 + 3*z**4 - 25*z**5 - 11*z**2 + 11*z**2 + (0*z - 4*z + 0*z)*(-2*z**4 + 0*z**4 + 3*z**4).\nAnswer: -28*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 505131 - ((-136)\/204)\/(-1 - 5\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 3. Suppose 0 = f - u - u + 9, 4*f + 27 = -u. Let o = 40 - 24. Calculate the smallest common multiple of j(f) and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1034\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/(-12)*12\/(-42).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216960 - 2607631.2.\nAnswer: -2824591.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -177399 bigger than -177611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 20. Suppose -3 - a = 2*y. Let o = 127 - y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -15273, 2, -3, -7 in ascending order.\nAnswer: -15273, -7, -3, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1 = 2*h + 5, -4*w - 5*h - 10 = 0. Suppose -4*o + 2437 + 735 = w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -160934, -160975, -161040, -161129, -161242?\n\"Answer: -12*z**2 - 5*z - 160917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**4 - 5050*h**2 + 2555*h**2 + 2 + 3*h**3 - 2*h**3 + 2483*h**2 + h to the form m + q*h**2 + p*h**3 + d*h**4 + j*h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1.71 (b) -7\/13 (c) 5 (d) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 1554 - 1618. Calculate the greatest common factor of 568 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -473001344 - -8633?\nAnswer: -472992711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let g(o) = 31*o + 3*o + 18*o - 4*o - 108*o. Give g(z(c)).\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - 10*h - 7. Let i(j) = j**2 - 3*j - 2. Give -2*d(m) + 7*i(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxyx when four letters picked without replacement from xsyyssssysxsyyxyyss?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -202. Let y(p) = -p**2 + 10*p - 7. Let s be y(5). Suppose s = r - 2. What is the highest common factor of r and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6*s = 14. Suppose 4*f + 18 = -s*o, f = 3*o + 15 - 9. Sort -5, 5, f, -10 in descending order.\nAnswer: 5, f, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(29\/(-1044)). Let m = t + 54. Let -10\/7*j**5 + 0*j - 4\/7*j**4 + 10\/7*j**3 + 4\/7*j**2 + m = 0. What is j?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -142a5626?\nAnswer: 142a5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 + -233. Let m be (-9778)\/(-6) + (-4)\/(-12). What is the units digit of m\/r + (-10)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 73833 and -2027.\nAnswer: 71806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 49*j**2 + 138*j - 60. Give o(21).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314672 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 6*l + 2. Let x be z(4). Suppose 5*d = 10*d - x. What is the tens digit of 9 + -8 - d*-10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11171 divided by -18.\nAnswer: -11171\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y - 306557 = -99*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**2 - 1180*f + 4782. What is u(65)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 497*y**2 + 7*y + 7. Let t(b) = -1491*b**2 - 20*b - 20. Let f(q) = -17*p(q) - 6*t(q). Is f(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 7. Let i be q(5). Let c = 307\/6 + -51. Let b = 1888\/77 + -276\/11. What is the second smallest value in i, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let q(p) = -5*p - 3. Let z(b) = -14*b - 8. Let j(y) = -8*q(y) + 3*z(y). Calculate r(j(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5356 is divided by 1337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + y - 7 = 0. Sort y, -5, 0, -2.\nAnswer: -5, -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p + 50. Let i be ((-3)\/4)\/((9 + -2)\/84). Is 3 a factor of g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, 1, -7, -15, -23, -31?\n\"Answer: -8*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43611, -5, 118 in decreasing order.\nAnswer: 43611, 118, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -32. Let c(g) = 5*g - 26. Let n be c(6). Solve q*s - 2*s = -5*m - 15, 0 = -n*s + 4*m + 36 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2052*n - 868. Give d(0).\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1635814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 770208 and 639?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by 8.\nAnswer: 73\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 40. Solve -2*n + 2 = -a, j*a + 2 = 3*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56639, -113283, -169931, -226583, -283239, -339899?\n\"Answer: -2*f**2 - 56638*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1736)\/(-126)*(-378)\/(-56) - 17*1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + 15. Suppose -18*s = -15*s - h. Is 8 a factor of s\/1 - (2 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000111001110010 (base 2) to base 8\nAnswer: 107162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77\/12 in -5, 9.3, -2.03?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/36*-12)\/(-3*(-5)\/(-1305))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(33)\/sqrt(3) - (1 + sqrt(1584))*2)**2*6*-4.\nAnswer: -237696 - 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51549.96 millilitres in litres?\nAnswer: 51.54996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011753483355 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1565413*s**3*v**3 + 134*s**3*v**2 + 1314*s**3*v + 2*s**2*v**5 - 2*s**2*v**2 - 11*s**2*v wrt v?\nAnswer: 9392478*s**3 + 120*s**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 259*t**2 - 132*t - 211. Let x be o(-130). Solve -x*r - 18 = 2*p - 47*r, -p = -2*r - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 25. Suppose -5*i - 56 = -2*t, -5*t + f*i + 163 = 3*i. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/12619 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15698 = 9*f - 15887 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29\/4 + -7. Let u = -7 + 7.3. Let z = u - 0.2. What is the closest to z in 1\/5, -2\/11, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 + 10*q**2 + 13*q**2 - 52*q**2 + 62*q + 830*q.\nAnswer: -9*q**2 + 892*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*q*v**2 - 3*q + 5*v**3 + 11*v + 2 wrt v?\nAnswer: -54*q + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -802797?\nAnswer: -5\/802797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 16) to base 6\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17437*j**2\/3 + 313868*j\/3 + 12 = 0 for j.\nAnswer: -18, -2\/17437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2643967 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.3751 to 0 decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - (sqrt(432)*1 + sqrt(432)))\/(sqrt(6) - sqrt(96)*6 - sqrt(6)))\/(6*(sqrt(20) + sqrt(40)\/sqrt(8))\/sqrt(5)))**2.\nAnswer: 1\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 318*9\/26082 - (-6)\/(-63). What is the third biggest value in o, -1\/4, 3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 8:51 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 2 - ((4 - 16) + (12 - 3))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2928 - 2a?\nAnswer: -2957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5911 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0 + 2*w - 1\/6*w**4 - w**2 - 2\/3*w**3. Factor p(y).\nAnswer: -2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -t - 6. Suppose f = t - 6. Solve -24 = 5*r + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/79)\/(f\/(f\/f**43)))\/(f*f**(-36)*f\/f**(-1\/34)) assuming f is positive.\nAnswer: f**(-24321\/2686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.07, 1\/8, 2\/23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 j, and 1 i when four letters picked without replacement from {t: 2, q: 2, i: 1, j: 2, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 261*n + 80. Let r be g(-16). Which is the nearest to 24? (a) 0.12 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21273.45 + 21273. Is f bigger than 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48896 rounded to the nearest one hundred?\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/80*-20 + (-69)\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + k - 4. Let p be s(-3). Let j be 1\/(-3 + p\/12). Which is the second smallest value? (a) -2 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1191 + 348. Let u = 1490 + n. Let q = -383 + u. What is the greatest common factor of 33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(-627*w + 8593 - 8593) in the form k*w + n and give k.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/((-2)\/4). Let o = 15 + -9. Let r = o - 6.4. Which is the closest to 1\/3? (a) 0.3 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1027*p**2. Let n(k) = -4*k + 5. Give d(n(q)).\nAnswer: -16432*q**2 + 41080*q - 25675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2. Suppose 28 = 5*k + 3, -d - 3*k + 27 = 0. Let w(f) = -8 - d*f - 11*f + 8. Determine w(o(r)).\nAnswer: -46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 39 = 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -873 - -6114\/7. Let j = -0.7 + 0.2. What is the second smallest value in -5, j, 5, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3339 - 6675 + 3336 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1129 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:30 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15291113 by 20861.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2514?\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40711, 40626, 40541, 40456, 40371, 40286?\n\"Answer: -85*i + 40796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464 + -1.796439?\nAnswer: 1462.203561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -405 + 420. Is (13445\/x - 1\/3) + 3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433493751.\nAnswer: 3, 809, 178613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97784766.\nAnswer: 2, 3, 101, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3025063024 take away -0.4395?\nAnswer: -3025063023.5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 13254864.\nAnswer: 9\/2209144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4\/3 (c) 0 (d) 368\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.22 - -0.22. Let q be ((-4)\/12 - (-10)\/(-6)) + 20\/5. Which is the nearest to y? (a) q (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.01, -255, 3\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5216635 is divided by 1685?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 331*x**2 + 837*x**2 + 1090*x**3 - 506*x**2.\nAnswer: 1090*x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - (-12)\/(0 + 3). Let r be (2 - ((-2)\/1 - b)) + 278. Let l = -179 + r. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*f - 7, 7*f - 6*f = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 170 + 0*t**3 - 9*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w + 108. Let m = w - -58. Suppose -4*v = 4*h - 12, -2*v - 2*h = -4*h - 10. What is the highest common factor of v and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 81. Let m be l(15). Solve -g - m = -7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 1 + 3 + 0*a)*(6*a + 0 + 0).\nAnswer: 12*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 190106863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 7*n**4 - 8*n + 9*n**4 - 13 in the form p*n**2 + t*n**3 + k*n + g*n**4 + y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 50, -226, 3, -4, -0.1 in ascending order.\nAnswer: -226, -4, -0.1, 3\/2, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 3*l - 2. Let j(x) = -2*x**5 + 250*x**4 + x**3 - 41*x**2 + 14*x - 16. Let z(n) = -j(n) + 4*m(n). What is the third derivative of z(c) wrt c?\nAnswer: 120*c**2 - 6000*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -239748624 greater than or equal to -239748624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**7\/70 - c**6\/10 + c**5\/10 + c**4\/2 - 3*c**3\/2 - 8*c**2. Find n such that a(n) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -67, 1\/122, 2\/3.\nAnswer: -67, -0.16, 1\/122, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-1 - -4))\/((-166)\/581). Solve 3*j = -4*a + 27, 19 = 5*j - 9*a + i*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) + 642\/27. Suppose -d = -2*z + 8. What is the smallest common multiple of 14 and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m\/((m\/m**31)\/m))\/m)**(-37))**42)**(-32) assuming m is positive.\nAnswer: m**1641024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 3 = -10*c. Solve -o + 12 = c*h, 0*h = 4*o - 4*h + 32 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4247764 is divided by 1723?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334 - -340. Solve 4*n - 7*n - u = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/(-8))\/((559\/26)\/(-43)))\/((-4)\/(-12))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 1 - ((-78 - -89) + -23).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4307141647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)*5\/2. Suppose 0 = 2*u - u - v. Let z(c) = u*c**2 + c**2 - 5*c**2. Let m(w) = -2*w**2. Give m(z(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*-2*(-4 + 2)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000 (base 2) in base 8?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 15. Suppose -y = -4*a - 0*y + 217, -2*a + 91 = v*y. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 - 7*l + 12. What is r(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 5*s + 18, -6 = -3*c + 5*s - 18. Suppose 0 = 4*p - 13 + c. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 38*k**2 - 170*k + 118. Calculate f(-42).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1028 and 6897623.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 6 (b) -4\/5 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-300)*16200\/(-3150)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312 - 120?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*u - 10*u - 12*u - 8 - u + 0*u)*(-4*u**3 + 2*u**3 + 0*u**3).\nAnswer: -6*u**4 + 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-24)*(1 - -2)\/(-15). What is the closest to -1\/12 in -1\/7, c, 0.5, -2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:31 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.1682 + -0.5518. What is l rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 165522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**4\/12 + 12*n**3 - n**2. Let j be b(35). Solve -5*i + j*p + 8 = -p, -3*i - 2*p = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {u: 5, m: 1, h: 3, b: 1, f: 1, g: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 10:42 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*112\/420.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 5*y - 8. Let h be z(6). Let n = 1 + h. Is (2 - 1)\/(n\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(34)\/(-4*sqrt(2)*-4).\nAnswer: sqrt(17)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 30. Let h be l*2\/6*-44. Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10313153\/18620 + -1\/37240. Let u = -1131\/2 + y. Calculate the common denominator of u and -34\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2112756689\/44317562925 + 2\/8350775. Let r = b - -7\/87. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1529 divide 8758112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*z - 12, 4*x = 5*z - 25 + 7. Let g(f) = -13*f - 4. What are the prime factors of g(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -37*k**5\/60 + 29*k**4\/24 - 20*k**2. What is the second derivative of x(p) wrt p?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 81 (b) -1\/2 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257.5816s to microseconds.\nAnswer: 257581600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -104 (b) -36 (c) 2\/9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*s - 2380 = 2720 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2, -1926.4 in descending order.\nAnswer: 2, -2\/3, -1926.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 29, -4.6, 3, -0.2, -5\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((6 - 8) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677 is divided by 156.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1518, -1521, -1524, -1527?\n\"Answer: -3*w - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6af (base 16) to base 10\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 1 + 1)*(-664 + 1269*i - 388 + 1047) - i**2 + 0*i**2 + 0*i**2 in the form o + m*i + z*i**2 and give z.\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 799, 1496, 2193, 2890?\n\"Answer: 697*f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 3177504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1318 - 1317.97. Let g be (-13)\/(-52)*4*1. Sort -0.1, g, q, 2.\nAnswer: -0.1, q, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 15 = 5*k, 4*s + 85*k = 84*k - 3. Let p(j) = -4 - j - 1 - 3 + 2. Give p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/78 and 61\/27.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 6*f - 4. Let o be g(-8). Let w = 30 - o. Calculate the smallest common multiple of w and (1\/(-1))\/(1\/(-8)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6642822 rounded to the nearest one hundred thousand?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*78\/(-65))\/((-14)\/5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1238, 0, 2, -82, 3, -2, -3 in descending order.\nAnswer: 3, 2, 0, -2, -3, -82, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001848 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 14 = -2*s, 0 = 5*s + 3*f - 7 - 6. Suppose 0 = -2*w + 29*w - 108. Put w, 0, s in increasing order.\nAnswer: 0, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213243 (base 6) to base 8.\nAnswer: -330473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -209*w - 97*w - 13005 + 1071 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1994414*r**3 + 697672*r**2?\nAnswer: -11966484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864223 is divided by 8909.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*b - 18. Suppose 5*x - t = -3*t + 9, -x - b*t = 9. Solve l + x = -2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iczzziz. What is prob of sequence izc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -2*t + 2*o, 0 = -3*t + 5*o - 21. Let x be (t\/10)\/(99\/(-165)). Solve 0*k + 5*k = -5*s + 15, -3*k + x*s - 11 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or 22?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 177525337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/4))**(4\/21)*(p\/p**(1\/11))\/p**(-2\/25))**(26\/3) assuming p is positive.\nAnswer: p**(112762\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 3*t**3 - 10*t**3 + (-3 + 3 - 3*t)*(-7*t**2 - 21*t**2 - 2*t**2).\nAnswer: 83*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.5, 2\/3, 8 in decreasing order.\nAnswer: 8, 2\/3, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = -z. Let t = 60.4 - 60.4. Which is the nearest to t? (a) 5 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (1 + 0)\/((-5)\/583385). Let f = -50173 - b. What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(468) - (sqrt(468) + -2))*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-1 + 2)*6)**2.\nAnswer: -144*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*i**4 + 8*i - 413 - 6*i - 21419*i**3 + 21419*i**3 with respect to i.\nAnswer: -692*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3 - 787*b**2 - 1506*b wrt b?\nAnswer: -12*b - 1574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 3.9. Let v = -615 - -615.559. Let x = v + -0.159. Which is the biggest value? (a) 1 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14735 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)*(-134 + 0). Calculate the common denominator of (-6)\/(-48)*h\/4 and -15\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 81*m**3 + 6*m - 43. Let h(s) = 242*s**3 + 17*s - 116. Give 8*g(v) - 3*h(v).\nAnswer: -78*v**3 - 3*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - 7*u - 5. Let s(r) = -14*r - 61. Let v be s(-4). Determine x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 544221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b + 150. Suppose 16 = n + n. Let x = 0 + n. What is the least common multiple of x and g(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1047 and 0.8.\nAnswer: 1047.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*w - 27*w**2 + 8*w**2 + 14*w**2 + 6*w**2.\nAnswer: w**2 - 647*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -488 + 1858. Suppose 4*m = -18 + t. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**3 - 104*t**2 + 392*t + 7. Calculate y(4).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/64)\/(2\/(-20)). Find the third derivative of 6*w**3 + h*w**3 - w**4 - 180*w**2 + 146*w**2 wrt w.\nAnswer: -24*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3 - v**2 - 1 + v - v - v**3 - 3*v. Is r(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1012, -2058, -3104, -4150, -5196, -6242?\n\"Answer: -1046*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91287693 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**5\/10 + 4*d**4 + 17*d**3 + 26*d**2 + 35*d\/2 + 179. Factor r(a).\nAnswer: -(a - 35)*(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*z)\/z**(3\/8)*(z**(2\/3))**(-2\/47)*(z**(-1\/2)\/(z\/(z*z*z\/z**6*z*z)))\/((z*(z\/(z*z\/z**8*z))\/z)\/(z\/z**(-2))) assuming z is positive.\nAnswer: z**(-1277\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 12) to base 3.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 27. Let u be y(7). Let p be (-57)\/(-171) - ((-104)\/u)\/2. What is the third derivative of 9 - 13 + p*x**3 + 4 - 15*x**2 wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(252) - (sqrt(252) - sqrt(252)*-1)))**2 - sqrt(252))*-1 - ((sqrt(112) + -1 - sqrt(7))**2 + ((-1*sqrt(49))\/sqrt(7))**2).\nAnswer: -1079 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 2296. Let g = -262038 - -262045. What is the highest common factor of g and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 130. Is (-14 + a - (-4 + 0)) + 6311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118998 + -42?\nAnswer: 118956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/(-39) + -3 - (-1015)\/(-91).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123766.6515 rounded to the nearest 1000?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 6*b - 1 - 6*b + 0 as z*b + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v**2. Let y(s) be the first derivative of 7*s**2\/2 + 5*s - 8. Let c(l) = -10*l - 7. Let a(t) = -5*c(t) - 7*y(t). Determine a(k(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2456470?\nAnswer: 4912940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222212210020 (base 3) to base 12.\nAnswer: -216236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 7*i**2 - 10*i + 5. What is w(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 113*o**2 - o*z - 842*z wrt o?\nAnswer: 226*o - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*2 + sqrt(931) + sqrt(931) - sqrt(19)) + sqrt(19) + sqrt(171)\/sqrt(81) + sqrt(19))**2.\nAnswer: 147136\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 554*j**2 + 40*j + 41. Determine u(-1).\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 - 3*w + 3. Let t(c) = 2*c**2 - 2*c + 2. Let p(k) = -k**2 - 5*k + 3. Let r be p(-6). Let o(v) = r*t(v) + 2*b(v). Factor o(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13189, 52799, 118815, 211237, 330065?\nAnswer: 475299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 1. Let t(g) = -12*g - 16. Let j(k) = t(k) - 16*w(k). Let r(u) = -19*u + 2*u**2 + 19*u. What is r(j(p))?\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(77) + -1*sqrt(77)) + (sqrt(77) + -4*sqrt(77)*2 - sqrt(77)) + sqrt(77))\/(-1*sqrt(275)*-2) + -2.\nAnswer: -2 + 21*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*i - 42. Is i > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1723*y**4 + 3*y**3 + 94*y**2 - 68835670*y wrt y?\nAnswer: 20676*y**2 + 18*y + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**6 + 1248*p**5 - 7*p**4 - 72*p**2 + 2*p + 4594 wrt p.\nAnswer: 1800*p**3 + 74880*p**2 - 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-16)\/(-6) + -2). Suppose 0 = 2*z - 3*z. Suppose -20 = -5*i, 11 = -3*u - z*i + 2*i. Put 5, u, h in decreasing order.\nAnswer: 5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 287441537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 374088, 374087, 374086?\n\"Answer: -n + 374089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2, 4\/9, -0.2, -3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -353002?\nAnswer: 352888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 + 7*n + 7. Let r be y(8). Which is the third biggest value? (a) 1 (b) 2\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15.47, -388, 2, -3\/19, 0.1?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2221 - -555?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9089 < 9088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2634 and 43\/878.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218409\/20300 + 539\/50. What is the common denominator of 43\/28 and w?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubub when four letters picked without replacement from {u: 2, b: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m - 167. Calculate c(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 9:11 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/13, -3\/5, -1.8, 37 in descending order.\nAnswer: 37, 4\/13, -3\/5, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x. Let o = -94 - -94. Suppose 0 = -3*s + 3, o*a - 2*a - 4*s = 4. Sort 3, x, 5, a.\nAnswer: a, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 386 in 3\/5, 25, -0.03, -5, -0.1, -0.4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(5)*1*6*-5)\/((sqrt(108)*-2)\/(sqrt(126)\/sqrt(7))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.482 - 25.06. Let o = -0.228 - h. What is o rounded to one dp?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 4:45 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 5*c**2 - 5*c + 7. Let m(d) = 7*d**3 - 9*d**2 + 9*d - 15. Let j(r) = -5*h(r) - 2*m(r). What is j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 + 2 = 0. Calculate the greatest common divisor of k and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {f: 2, r: 4, d: 8, q: 5}.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:14 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*o*p**3*t + 1788*o*p**2*t**2 - 1651753*p**3*t**2 wrt o.\nAnswer: -133*p**3*t + 1788*p**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 6, j: 1, b: 7}. Give prob of sequence hzhb.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (406\/4)\/((1\/(-7))\/(2210\/(-595))). Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.230125191 to 3 dps.\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by 57?\nAnswer: 29\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15.7847, 17, -2\/11, -0.5, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5)*(-398)\/8. Let f = 705\/4 + -3331\/20. Let b = f + m. Which is smaller: -11 or b?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m + 0 + 0 - m**2 - 9. List the prime factors of o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 63858?\nAnswer: 510864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70 - 1c?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3473292171 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/92 and -65\/22.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 4 + 4 + (4 + 1 - 3)*(2 - 3 + 3) - 3 + 3 - 1 - 2 - 3 + 3)*(-2 + 6 - 1)*(2 + v**2 + 3*v**2 + 0).\nAnswer: -744*v**2 - 372","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1305*p**2 + 6278*p - 6278*p + (3 - 5 + 3)*(2*p**2 + 5*p**2 - 4*p**2).\nAnswer: 1308*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -108?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2550, 4964, 7378, 9792, 12206, 14620?\nAnswer: 17034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 + 176. Let x = -27 + m. Let p = -20 - -47. Is x < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 142*o - 133*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.1 - -13. Let g = -2.90102 + y. Round g to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223817307 to the nearest integer?\nAnswer: 14961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*a - 257*a - 83844 = 0. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3648018 to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-50))\/((-1)\/16*-8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13048*c - 19691 - 572653 = -54893 + 141045 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -37*s**2. Let d(j) = -30*j - 1897. What is d(w(h))?\nAnswer: 1110*h**2 - 1897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 22*x**2 + 2*x + 0*x + 0*x to d*x**2 + f + u*x and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 2*w - 2. Let u be -2 + (54\/15)\/((-3)\/(-10)). Suppose -u*s = -9*s - 5. Let q(o) = 2*o**2 - o - 1. Determine s*q(d) - 3*v(d).\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 102 = -4*q, -5*q = -3*z - 3*q + 137. Let k = -46 + z. Which is smaller: -25\/7 or k?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 124075862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4 + (2\/10 - 140\/(-50))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rroa when four letters picked without replacement from {r: 7, o: 4, a: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-399)\/(-19)) + 6 + (69 + 2 - 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 5*l, 2126*s = -2*l + 2125*s + 1. Solve -14*v + 27 = -11*v - l*o, -3*o = -2*v + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-6 + 1 + 2 + (-2 + 5 - 1)*(-3 + 0 + 2))*(-l - 2 + 2).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 6, f: 3, h: 1, i: 1}. What is prob of sequence jjf?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let a(q) = -6*q. Let f(z) = -a(z) - 4*h(z). Let l be f(6). Suppose 3*b + 10 - l = 0. Calculate the least common multiple of b and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(68\/748)\/(5\/(-11)). Let r = -5303\/14 - -379. Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*w + 1274 = 905*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*s + 20, -4*u - 6 - 4 = -2*s. Suppose 27 = -2*n - 3*n + 3*f, -4*f + 1 = s*n. Let y = 14 + n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*v - 100*v + 83*v to the form s + z*v and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m - 137. Let z(s) = -2*s - 1. What is the remainder when z(-15) is divided by r(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + 442*u - 104. Determine c(110).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 1, i: 6, u: 8}. What is prob of sequence ki?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 10*k**2 - 10*k - 8. Let d be l(-9). Suppose 5 + 3 = 4*u. Let m = 4 - u. Solve 5 + d = -m*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054365 is divided by 174.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y*y**(-3))**(-2\/43)*((y*y**(-2\/7))\/y*y)**(3\/8)*y**(-3\/4)*y**(-2) assuming y is positive.\nAnswer: y**(-17483\/7224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/80*-5 + 95\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -49602e1?\nAnswer: -49602da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/468365 and 40\/10471?\nAnswer: 17329505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14*c + 427840 = 19*c. List the prime factors of c.\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -377 - -212. What is w rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4770 and -119\/2120.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 6*v - 8*v - 87*v**2.\nAnswer: -87*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1518304.56 * -0.5\nAnswer: 759152.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 25 = 7*i. Solve 5*s - 10 = -i*o, 3*s - 5*o + 2 = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20330100121 (base 4) to base 11\nAnswer: -1361064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 297378690*z**3 + 188129315 wrt z.\nAnswer: 892136070*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a + 1\/6*a**3 - 1 + 0*a**2. Let l(x) be the first derivative of h(x). Let f(w) = -w**2. Calculate l(f(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-483)\/(-6) - (-1)\/2) + -1. Suppose -2*u = -2*g - 2*g + 64, -5*g - 3*u = -y. Calculate the least common multiple of g and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 - -0.11. Let c = 195 + -124. Let v = c - 71.5. What is the third smallest value in k, 17\/3, v?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9683599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x - 6. Let i be h(4). Let l be i\/(-10) - (-3)\/(-15). Let g = 4772 - 4770. Put l, g, -5 in decreasing order.\nAnswer: g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4180 and 60990?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 55. Let l(w) = -2*w - 12*w + o*w. Let u be l(-1). Calculate the highest common divisor of 319 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14*r**2 - 266*r - 846. Give p(-21).\nAnswer: -1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 - 266*b - 118. Let q be z(67). Solve n + 8 - 27 = 4*l, -4*l = q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 3*l**2 + 5*l**2)*(-1 + 1 + 2)*(6*l - 10*l + 23*l).\nAnswer: 342*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2491, 1\/4, 693 in decreasing order.\nAnswer: 2491, 693, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 26*o + 64. Give v(24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 0, -4, 4.\nAnswer: -53, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -24 + 9. Let t be (-4)\/14 - 52\/(-84). What is the smallest value in q, t, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 4*w - 56. Suppose 0 = 4*d + x - 0*x + w, -4*d = -x + 28. Let r(a) = a + 1. Determine r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1097, 1900, 2605, 3164, 3529, 3652, 3485, 2980?\n\"Answer: -8*c**3 - c**2 + 862*c + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3180 and 1098060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 4*v, -5*z + 5 = 3*v - v. Suppose -3*f - 4 = -4*t + z, -3*f - 3*t + 9 = 0. Let u(h) = 9*h**2 + h - 1. What is u(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6202 and -6064.\nAnswer: 3760.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 25*h**2 + 36*h + 1. Let g(y) = 48*y**2 + 63*y + 3. Let j(c) = 3*g(c) - 5*s(c). Let n(d) = -13*d**2 - 6*d - 3. What is 5*j(v) + 7*n(v)?\nAnswer: 4*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) -0.06 (c) -0.5 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188865150.7 rounded to the nearest ten thousand?\nAnswer: 188870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4241?\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-1 + 1 - 1)*(14 + 6 + 11)*(197*p - 197*p - 20*p**2).\nAnswer: 1240*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgzjvjvjpjpbvzjvb. What is prob of picking 1 b, 1 j, and 1 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 2. Let g be l(-4). Let r be (-41 - -1)*(-60)\/16. Suppose k - 3*k = -r. Calculate the greatest common divisor of k and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7706 divided by -7706.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 - 3*t. Let v be q(8). Let a = 107 - v. Solve 2*z = a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = p, p - 11 = 2*y + 7. Calculate the common denominator of -31\/4 and (-51)\/(-6)*p\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957689.\nAnswer: 353, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 - o - 1. Let r = -22 - -17. Let s(i) = -4*i**3 + i**2 + 11*i + 9. Let c(f) = r*y(f) - s(f). Give c(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47544 divided by -1981.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.092 - -97.628047435.\nAnswer: 97.536047435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Suppose j = -p + 5. Solve -a - 10 = -p*z, -2*z - a + 10 = -4*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20790)\/5775*20\/3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*z + 114, -4*w = 2*z - 6 - 62. Let a(s) = s + 10. Suppose -2*n = -1 - 19. Let b be a(n). What is the highest common factor of z and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385*r = 1296*r - 766*r - 21065 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 27*o**2 - 20*o - 229. Let d be j(28). Put -150, d, 1, -2 in decreasing order.\nAnswer: 1, -2, d, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)*u*u**(-2\/9)*u*(u*u**(2\/7))\/u**2)**(2\/3) assuming u is positive.\nAnswer: u**(2026\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 2. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/411728 and 137\/8183094.\nAnswer: 65464752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5*h - 20 = -4*x, x - h - 3 = 0. Suppose a + 1 = -5*o + 16, -2*o - 12 = 4*a. Solve -4*m - o = -x*z + 5*z, 5*z = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(384) + sqrt(384) - sqrt(384)) - sqrt(384))\/(sqrt(10)\/sqrt(5)*6 - 1*sqrt(8)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -162.2. Let o = -159.767 - s. Round o to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48024 is divided by 1372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Suppose 44 = r*h + 4. What is the least common multiple of h and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -3 (b) -9\/4 (c) 33 (d) -14 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, 20, -2194?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ptptppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -58, -180, -404, -760, -1278, -1988?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 439.6983 micrograms?\nAnswer: 0.0000000004396983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7978627, 15957255, 23935883, 31914511, 39893139, 47871767?\n\"Answer: 7978628*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x + 3*x + (10 - 57 - 17)*(-2 - 1 + 5)*(-4 - 2*x + 4) in the form l*x + m and give l.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5549.552721 + -0.0594?\nAnswer: 5549.493321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 60 (c) 6\/7 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -17*j - 3. Let n(v) = 17*v + 2. Let c be (2 + (-5 - 0))*(-7 - -8). Determine c*n(g) - 2*k(g).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*v + 20 - 25, -2*v + 21 = -3*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2120093 + -2120092.98049907. Let i = d - 0.0195. Round i to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 172\/(-14) - (-6)\/21. Let a be ((-18)\/15)\/(f\/40). Suppose -a*d + 3*d = 0. Solve -b + 1 = -c - 1, -c + 3 = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4615 and -0.1.\nAnswer: 0.14615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6766 (base 14) in base 6?\nAnswer: -214554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b - 137. Let g = 267 + b. Suppose 2*a = -4*u + g, -58 = -a + 2*u - 13. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 118074.\nAnswer: -590370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 117 and 39.273.\nAnswer: 156.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -52*j + 248. What is the closest to -3 in 0.2, 2\/27, j?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200204604 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0156 and -0.3?\nAnswer: 0.00468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.565 in -3\/4, -1\/5, -508?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25507 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002793 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1401, 1477, 1553, 1629, 1705?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -40*o - 8. Let r(z) = -13*z - 3. Calculate -3*l(x) + 8*r(x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y + 16. Let b(d) = -d**2 - 10*d + 4. Let t be b(y). Let r = t + 37. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q + 4. Let v = q - -6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 + 117. Let y be (15\/(-9))\/(95\/(-969)). Solve -3*w - y = -j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-19)*p**(14\/3))\/(p**(2\/3)*p*p**(-8)) assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -7*a**5\/30 + a**4\/9 + 7*a**3\/9 - 2*a**2\/3 + 14*a. Factor n(p).\nAnswer: -2*(p - 1)*(p + 1)*(7*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5566 - -5588. Calculate the remainder when 22 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2198, 117, -3, -5, -2 in ascending order.\nAnswer: -2198, -5, -3, -2, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (0\/(-2) - 14\/2). Suppose -4*l - 4*p = -144, -4*p + 48 = l - u*p. 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: Let u = -0.03 + -0.03. Let b = -5.34 + u. Let v = b - -5.39999942. Round v to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -65.37. Let m = f + 1.47. Which is the closest to 0? (a) -2 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*a**6 - 14433*a**4 - 239*a**2 - 272*a - 73 wrt a?\nAnswer: -3240*a**3 - 346392*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 159618602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200588233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 14*j - 8. Calculate u(-13).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467772301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 30. Suppose -c + a = 0, -4*j = -4*c - 0*c - 116. Calculate the greatest common divisor of j and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220130102 (base 4) to base 16\nAnswer: 68712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 48*v - 47*v)*(-2 - 28*v + 3*v**2 + 28*v).\nAnswer: 3*v**3 - 3*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 0.5 (c) 2 (d) -0.18 (e) 69880 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4584792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 148.042. Let i = g + -0.342. Let w = 7 + -1. What is the second biggest value in i, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/3)\/(3\/283). Let b = -163 + y. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 3 - 33*o**4 + 31*o**4 + 2 to the form c + j*o**3 + g*o**2 + b*o + l*o**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 - 6*o - 2. Let t be k(-5). Let x = t - 14. Solve -4*i = c - 17, 4*c + i - 9 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22031331030 + 2?\nAnswer: 22031331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*k + 200 = 0, 3*p + 2*p - 312 = 4*k. Let o = 131 - p. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130748483*s**5 + 571336*s?\nAnswer: 2614969660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 + (1 - 5 + 5)*(-3 + 6 - 1) + 1 + 0 + 1 - 4 + 2 + 1 - 4 - 1 + 6 + 1 - 3 + 1 - 6 + 5 - 2)*(-560*j**2 - 783*j + 783*j)*(-3*j - 2*j + 3*j).\nAnswer: -2240*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.026 - 7.026. Let t = -4 - i. Let u = 708 - 19114\/27. Which is the second smallest value? (a) u (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -936425417*p**4 + 17540*p - 18228 wrt p.\nAnswer: -11237105004*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.09864.\nAnswer: -0.78912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257523539.\nAnswer: 3, 419174513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -8*p + 5*p. Let a be (-476)\/80 - (p - 5). Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 7*c + 24. Let j be i(9). Let l(s) = 3*s**2 - 2*s + 1. Let x be l(2). Suppose 4*g - 21 = -x. Solve 0 = g*o - j - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*z - 2*z. Suppose 0 = 5*q - 4*u - 188, -u = -q + 52 - z. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 4*y)*(8 - 28 - 46 - 30).\nAnswer: -192*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30393 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182223 and 14229.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42904.\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*m - 94*m**5 - 109*m**5 + 8*m**5 wrt m?\nAnswer: -3900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33 - -1)*((-48)\/3 - -5). Suppose -7*s = -3*s + n - 739, 2*s + 4*n - p = 0. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-33610)\/(-105) + 6\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -618173.65359 and 0.279.\nAnswer: -618173.37459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*(-3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3078 divide 344415888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 4\/13 (c) -2\/9 (d) -3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -7 + -2 + 2. Suppose f*l = -3*l + 462. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 28750\/7*q**3 + 470\/7*q**4 + 132250\/7*q**2 + 0*q + 2\/7*q**5.\nAnswer: 2*q**2*(q + 5)*(q + 115)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*k + 4*k - z, -k - 4*z = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + 657481 - 657481.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**2*z + 499236*d**2 + 563*d*z - 232*z wrt z?\nAnswer: -4*d**2 + 563*d - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.4 (b) 0.2 (c) -50 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*d + 1)*(-303*d**2 - 320*d**2 - 319*d**2 + 942*d**2 + 1649*d**4 + 5*d).\nAnswer: -3298*d**5 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 8. Let q(j) = -1. Let o(b) = -6*q(b) - w(b). Let y(c) be the second derivative of -c**3\/6 + c**2 - 1211*c. What is 4*o(f) + 5*y(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 683892 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/8 - (-4)\/(-8). Solve 6 = -c*h, 5*j - h = -7 - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-4 - (-6 + 5 - 7)) + (-25 - -18)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.130094 - -6.04354.\nAnswer: 6.173634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**10\/w)*w**11)\/(w\/(w*w*w\/w**(-2))*w)**(-39))**(-45) assuming w is positive.\nAnswer: w**5130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/462250497 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 555\/8053?\nAnswer: 555\/8053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -9324?\nAnswer: 9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**5\/120 + m**4\/12 + m**3\/3 + m**2\/2 - 3*m + 58. Let j(r) be the second derivative of g(r). Factor j(z).\nAnswer: (z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 30 = -4*n + 8, 5*n - 4*f + 28 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -809.\nAnswer: -2\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(-12) + 1204\/16 is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-3420)*(-9)\/6.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550304, 1101632, 1652960, 2204288?\nAnswer: 2755616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335321 by 4.\nAnswer: -1335321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 21, 28?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9*h + 100 = 0, -26*m + 22*m - 2*h = 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 12172?\nAnswer: 36516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + d - 3. Let a(j) be the first derivative of 2*j**3\/3 + j**2\/2 - 4*j + 853. Calculate -3*a(w) + 4*i(w).\nAnswer: 6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 241, 456, 633, 754, 801, 756?\n\"Answer: -3*l**3 - l**2 + 239*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 23 + 11. Let s = 0 + 0. Suppose -k - y*k + 51 = s. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838228 is divided by 93131.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73 - 76 - (-2)\/((-104)\/(-132)). Sort 1\/19, k, 3 in increasing order.\nAnswer: k, 1\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923510.\nAnswer: 2, 5, 7, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:14 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ywyyyyywwwywyywwwwwy.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 3.1569?\nAnswer: 97.8639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16560*k - 16553*k + 52 + 19 + 97 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 1 + (-1065 - -1046)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/249760 and 11\/224.\nAnswer: 249760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/543456 and -41\/110112.\nAnswer: 16847136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let y = t - -6. Let i = 197\/6 - 33. Which is the closest to 0.1? (a) y (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a**3)\/a*a*a*(a\/(a**(3\/7)*a))\/a*a*a**(-6)\/a**(2\/5)*(a**(-5)*a\/(a**(-6)\/a)*a)\/((a*a\/a**(-3\/2)*a)\/a*a*a*a**(1\/2)) assuming a is positive.\nAnswer: a**(-99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q - 25. Let u(h) = -6*h + 41. Let y be u(6). Let g(l) = -y + 5 - 1 + 4 + 2*l. Calculate 3*a(o) + 25*g(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -867682491 - 1.5.\nAnswer: -867682492.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1\/4*m**4 + 0 + 7\/4*m**2 + 5\/4*m**3 + 3\/4*m = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33548 is divided by 251.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1423 = -1279*q + 1133*q - 9819 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11824, -11835, -11868, -11923?\n\"Answer: -11*c**2 + 22*c - 11835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.1 - -50. Let c = 2 + s. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -574.5 - -570.5. What is the biggest value in -6.8, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.2962 + 0.2902. Let k = l - -6. What is k rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 980.3093 millilitres?\nAnswer: 0.9803093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -518948, -1037897, -1556846?\n\"Answer: -518949*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/(1\/(-18)). Let h = w - 3. Solve h*g + 15 = o, 5*g + 25 = 5*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42732, -170531, -383524, -681711, -1065092?\nAnswer: -1533667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v + 0 + 1\/48*v**4 + 1\/24*v**3 + 0*v**2 - 1\/80*v**5 - 1\/120*v**6. Factor y(n).\nAnswer: -n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296 times -0.7755\nAnswer: 229.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 1. Let q(w) = w**2 + 6*w - 6. Let d be q(-7). Let l be k(d). Solve -3*b = -l*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**8)**(-44)*(a\/(a*a*a\/((a*a*a**(-7)*a)\/a)*a))**(-3\/8) assuming a is positive.\nAnswer: a**(-393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 2021210200111011?\nAnswer: -2021210200111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20029204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 1, a: 1, b: 5, i: 2, g: 3}. Give prob of sequence bai.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26100 divided by 87.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 264762?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35730717 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -459250, -459256, -459262, -459268?\n\"Answer: -6*k - 459244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s + 12, -5*a + 62 = -4*s. Let r be 38324\/(-20) + (-38)\/a + 3. Let f = 4546 + r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 10.1. Which is the smallest value? (a) w (b) 0.11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 4, 3*j - 4*a = 1. Let h(r) = 13*r**2 + 2*r + 18. Let f(u) = 28*u**2 + 5*u + 39. Let t(v) = -6*f(v) + 13*h(v). Give t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 183097234*u**3 - 579101160?\nAnswer: 549291702*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610 divided by -2.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 490*q + 27600.\nAnswer: -5*(q - 40)*(q + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360526.\nAnswer: 2, 180263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a - 6237 = -93*a - 17*a for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*o + 8, 4*f - 5 - 1 = 2*o. Let i(c) be the third derivative of c**4\/24 + c**2. What is the units digit of i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 10902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6845\/3 (b) -34\/7 (c) -5 (d) 0.2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (418 + 6)*11 + -2 + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*p + 28*p**2 - 106*p**2 + 29*p**2 + 31*p**2 wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -0.3, -4\/7, 5\/3, -16, 8 in increasing order.\nAnswer: -16, -4\/7, -0.3, -0.12, 5\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60420*w - 120834*w + 60414*w + 28*w**2.\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/390*12)\/((-4)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n - 12. Calculate the remainder when 10 is divided by m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4))**(-4\/21)*(g*g\/g**(-8))**(-20))**20 assuming g is positive.\nAnswer: g**(-83680\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 9) in base 12?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 23*m - 18*m. Let h be 32\/(-3)*m\/(-10). Round h to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300 divided by -26.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 8*l - 7. Let c = -8 - -15. Let b be y(c). Solve b*a = 2*v + 2*a - 2, 0 = -5*v - a - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211321 - 1?\nAnswer: 211320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 26 = -0*v - m, 2*v - m - 67 = 0. Suppose v*j - 20*j = 19580. Round j to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j - 1663 = -1763 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57052365 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 - d**2 + 48*d**4 + d**3 + 4*d**3 - 2*d**3 - 5*d**3 in the form t*d**2 + m*d**4 + f + w*d + k*d**3 and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 2*r - 4. Let z be m(-5). Suppose w - z = -2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1708 and 3136.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(147))*-3)**2 - (3*(2 + sqrt(147)))**2 - ((sqrt(3) + sqrt(30)\/(sqrt(10)*6))*-3 + 0).\nAnswer: -1001*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z**2 + 6*z. What is m(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/6 - 2*w**3\/3 - w**2 + 16*w. Factor g(r).\nAnswer: -2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -73752*u + 28. Let x be w(16). Let c be x - (-7 + (-2 - -5)). What is c rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/3 + -10. Let d be (-6)\/(-9) + (-40)\/6. Let h = d - -19\/3. Which is the closest to j? (a) 0 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 2*v**2 + v. Let n(o) = -228*o**5 - 39*o**3 - 492*o**2 - 39*o. Let a(d) = -3*n(d) - 117*x(d). What is the third derivative of a(c) wrt c?\nAnswer: 41040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*p + 5. Suppose -3*v - 63 = -p*z, 3*z = -0*z - 2*v + 43. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 6?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 6 + 3 + 0 + 10*m**4 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6199 - -6565. What is the least common multiple of s and 1098?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(176)\/sqrt(4))\/sqrt(4) + 2*sqrt(1331) + sqrt(1331) + sqrt(44)\/sqrt(4)*-5)**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -24, -2, 4 in increasing order.\nAnswer: -24, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*b + 1 + 11 = 0, 0 = 4*d - 3*b - 16. Solve d*q - 7 - 5 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4978\/3 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 - 4*b - 10. Let w be d(-5). Suppose -3*i - 11*q + w*q = -11, 3*q = -i - 7. Solve 5*h - 3*g + 14 = 0, -i*h - 14 = 3*g + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 1 z when three letters picked without replacement from zzzfddfdmpdmffdvzmzd?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 175, -3224 in increasing order.\nAnswer: -3224, 4, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - (2 - 39)) + (-14 - -1) - (-146 + 4).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s**3 + s**2 + 3*s + 3. Calculate m(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j - 3*t = -35*j - 2, -j + 42 = -5*t. Let v(u) = 8*u**3 + 14*u**2 - 17*u + 3. Let b(m) = 3*m**3 + 5*m**2 - 6*m + 1. Give j*b(g) - 6*v(g).\nAnswer: 3*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g\/g**(-3\/5))*g)\/g)**(-1\/5))**(14\/9))**(-6) assuming g is positive.\nAnswer: g**(56\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14166 or 14165?\nAnswer: 14165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232933 or 3493982\/15?\nAnswer: 3493982\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17931 and 3483?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i - 18*i + i**2)*(367*i + 9*i**3 - 367*i).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Suppose 3*c = d*c + 737. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjrr when four letters picked without replacement from {h: 1, g: 1, r: 2, j: 1, v: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*y + 3, -w = 5*w + 6*w + y + 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*-7*8\/(-168)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/200, 2, 68\/5 in descending order.\nAnswer: 68\/5, 2, 1\/200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(360)\/(sqrt(40)\/sqrt(4)) - sqrt(36))\/(sqrt(84)\/(sqrt(112) - sqrt(7))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 - 16*l + 11. Let p be n(5). Solve p*r + 2*r - 24 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 14*j**2 - 14*j + 4. Let v be m(14). Let n = 308 + v. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287 (base 11) to base 2.\nAnswer: -101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6\/11, -43, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1324 and 14.\nAnswer: 9268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3 (b) 3 (c) -8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 4474 + 1153 = 0. What is the highest common factor of 656 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 126. Let v = 87 - a. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60006 and 202794.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 286*(-1 + 3)\/4. Let q(r) = 195*r + 26. Let d be q(0). What is the highest common divisor of i and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(33\/6 - 0)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 7*q**2 - 2*q - 6*q**2 to t*q + v + x*q**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(11) + sqrt(11) + -4 + (sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(3))) + sqrt(11) + sqrt(11)))**2.\nAnswer: -864*sqrt(11) + 4140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002839 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 66\/(-14) + 14\/(-49). Let q = 83\/259 + 4\/37. Let y = -0.01 + -0.29. What is the second biggest value in k, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12493 - 4187 = -834*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (-43 - 31 - -63).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3725 + -3730. Sort -3, q, 0, 1, -25.\nAnswer: -25, q, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 16\/3*z - 28\/3*z**2 + 0 + 4\/3*z**4 + 8\/3*z**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*c - 35 = -995*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -108. Let m = -120 + 122. Suppose -3*q - 3*u - v + 154 = 0, 5*q = m*u + 208. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -5. Let g = -14 - j. Let l = 9.46 - 8.16. What is the third smallest value in g, -2\/17, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -141320, -3 in decreasing order.\nAnswer: -3, -38, -141320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Suppose z*d - 2778 = 8*d. Let f = 134734\/97 + d. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (-2*sqrt(245)*-3)**2 + (6*(-3 + sqrt(245) + -3))**2) + 0.\nAnswer: -9072*sqrt(5) + 56808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -3699, -15, 22, 5 in ascending order.\nAnswer: -3699, -15, -5, -3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g = 157*g - 1196 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 greater than or equal to 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.94000478 - 0.94. What is a rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1166284219 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/23 - 30*t**4\/23 + 146*t**3\/23 - 306*t**2\/23 + 284*t\/23 - 96\/23 = 0 for t.\nAnswer: 1, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (2*(sqrt(11) + -2) - (-1 + sqrt(44)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*t - 15*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13065 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + 2 + 10) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18847 divided by 6?\nAnswer: -18847\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 531931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*h - 2190 - 1095 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -41cd35 (base 15) to base 2\nAnswer: -1011111100100011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20\/(-14)*(20 + -76) is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -37*a - 1. Suppose 7*l - 2*l = 4*h - 94, -4*l = -8. What is the remainder when t(-2) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1631*t + 3 + 18777275*t**3 - 3 - 18777270*t**3 + 1631*t.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -2*p + 4*h, 0 = -2*p - 0*h + 5*h - 63. Let d be 2\/11 + (-520)\/p. Let c = 3 + d. Calculate the remainder when 59 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 326 - 317. Solve -2*n - 15 = -5*i, 3*i - 2*n = -3*n + b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 3*t - 10. Let n be b(2). Let w be -343 + 2 - 2\/(-1). What are the prime factors of (-2)\/n*1 + w\/(-4)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 9.08. Let i = -1\/1383 + -3226\/1383. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(24\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 19, 72, 169, 322, 543, 844?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -25 + -7 - -55?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006269 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 144*o**2 - 729*o + 104984. What is t(144)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b. Let r be a(-5). Suppose -v = 3*k + 3*v + 17, 4*k + 6 = 3*v. Let z = k + r. Solve -t + z*t = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154868295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-7)\/(g*g*g\/g**(-9)))\/(g\/(g**(-1)*g*g))**44)**(-25))**29 assuming g is positive.\nAnswer: g**13775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 12*x**2 + 41*x + 34. What is the tens digit of u(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 + -1049\/9. Let u be (-3 - 2514\/54)\/(2\/(-3)). Let o = -74 + u. Which is the third smallest value? (a) o (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 6 + t**3 + 0*t**2 + 0*t + 1\/360*t**6 + 1\/24*t**4 + 1\/120*t**5. Let b(l) be the third derivative of f(l). What is b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*240\/48*4\/(-50)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 - -0.0101?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377079 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdfd when four letters picked without replacement from {f: 9, d: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4249.5741 + 4249. What is t rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -61. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(14\/11)\/k*k*k**(-5\/12) assuming k is positive.\nAnswer: k**(113\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*l + 2 - 78 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - -252?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 4124*w**2 - 8276*w + 12396.\nAnswer: 4*(w - 1033)*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.623 - 28.313. Let j = -28 - k. Let o = j - -0.31104. Round o to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*k - 369*k**2 - 344*k**2 - 1065 + 718*k**2 = 0 for k.\nAnswer: -1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o + 1. Let f be g(-2). Let b be (-236)\/6 - 5\/f. Is b*(15\/9 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 244204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1168 - 1168.4. What is the closest to -2\/3 in j, -1\/2, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-28))\/(6\/(-14)*1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 20.928. Let y = v + 0.073. Round y to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41553239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/49 + 617\/490. What is the common denominator of s and 27\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, -1, -3 in increasing order.\nAnswer: -3, -1, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -6231e?\nAnswer: -62322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28756 and -2315043033?\nAnswer: 2315014277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(11\/5577) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p. Let v(a) = p*a + 0*a + 8*a - 3*a. Let x(z) = z**2. Calculate v(x(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 312 = 31*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 75*g - 64*g - 2831 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 35 - 6 = -4*v, -4*v - 37 = -5*i. Let l be (1\/(-12))\/(v\/(-16)). Let k = 0.7 - 0.9. Which is the third smallest value? (a) l (b) -4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001 (base 2) to base 15.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14362, -14390, -14412, -14428, -14438, -14442, -14440?\nAnswer: -14432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -669520 or -669513?\nAnswer: -669513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3*b + 71*b**2 + 25 + 3*b + 6.\nAnswer: 71*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 310?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*y - 10 + 30, -3*y = -p + 4. Suppose -m + 9 = -p*m. Let h be (m + 5)*(1 + 4). Solve 3*s + 2*s = -h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6) - 84\/(-18). Suppose -2*k + 0 = -q, 2785 = 4*n + 3*k. List the prime factors of n.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -533*o**6\/40 + o**5\/30 + o**4\/12 + o**3\/6 - 20*o**2. Let n be t(-1). Round n to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 16. Suppose 14 = 7*w - z. Solve 2*f - 2*c = 0, -5*c - w = 5*f + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561798 is divided by 23406.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5202*z - 67633 = 72821 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 136*r**2 - 410*r - 797. Calculate o(-133).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3 - 67625*o**2 + 18472943*o - 1264110919 = 0.\nAnswer: 137, 67351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 84312795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + 4*w**2 - 3 - w**3 + 5. Let j(t) = -3*t**3 - 36*t**2 + 39*t + 8. What is the smallest common multiple of j(-13) and h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 + k - 1. Let g(y) = -13*y - 15. Let a be g(-6). Suppose -2*l + a = -3*l. Let j be 20\/9 + 14\/l. Give b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*b**5 - 4*b**4*u**2 - 2*b**4*u + 227*b**2*u**2 - 3*b**2*u wrt b.\nAnswer: 4020*b**2 - 96*b*u**2 - 48*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 2, x: 1, p: 1, a: 1}. What is prob of sequence fx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 4*u - 8 = 0, 0 = -2*o + 3*u - 5. What is the second derivative of -m + m**o - 2*m**2 - m**2 wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -100. What is the units digit of -20*v\/18*(-450)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14081539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2001 and 96241430.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**3 - 6*a - 6. Suppose -13*d - 18*d = -155. Suppose -o - 1 = -2*g + 3, -3*g + 27 = 2*o. Let u(f) = 6*f**3 + 5*f + 5. Determine d*r(w) + o*u(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 - 89. Suppose 8*d + 10 = -14. Let x = c - d. Is 38 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*j - 58. Suppose 4 = 2*f, 4*u - 2 = -2*f + j. Put -3, u, -1 in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2223730*l**2 - 11419*l - 30?\nAnswer: 4447460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 714209*q**2 - 534826*q?\nAnswer: 1428418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5314 = 110*a + 2234 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*i = -80, -4*j = 3*i - 170 + 10. Suppose 0*r = 5*r - j. Suppose 3*u = 3*y + 21, 2*y = -r - 0. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -209, 0, 3\/8, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 + 1 + -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31537528 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3629.\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52348568 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: What is -7 + (4 - (10 - 18)) - (7 + -48 + 4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8136 and -0.6.\nAnswer: -2.4136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/4)*y**0)\/(y\/(y**(2\/15)*y)*y**4))**(-2\/15) assuming y is positive.\nAnswer: y**(187\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.35 - 0.05. Which is the biggest value? (a) n (b) 1 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/120 - o**5\/10 + 4*o**3\/3 + 16*o**2. What is the tens digit of y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13346 (base 8) in base 11?\nAnswer: 444a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/66 and 83\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -22000*k. Let a be q(-1). Suppose -4*o + 2*j - a = 0, -4*o - o = 2*j + 27500. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/24 - a**3\/6 - a**2. Suppose 2*d - 3*d = 0, 25 = 5*m + 2*d. What is the units digit of o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 2*n**2 - n - 3. Let h be a(2). Let o be (4 + -2 - 4)*h. Suppose -4*y = -30 - o. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368985 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3136 minus -15997.71?\nAnswer: 12861.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26194 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 18. Let t(b) = -b + 18. Let y(z) = -2*q(z) + 3*t(z). Let x be y(14). Let l be 3020\/((-2)\/(-5*x)). Round l to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 6, 2, -6, -18, -34, -54?\n\"Answer: -2*n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62274839, 62274838, 62274837, 62274836, 62274835?\n\"Answer: -y + 62274840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (245\/(-30) + 0 - -8) + 23\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459387 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*s + 2*r, r + 0 = 3*s - 1. Suppose -3*v = s*p - 414 + 77, 2*p = 3*v + 307. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*k - 2641 + 630 - 4073 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * -0.054\nAnswer: -0.002646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/15 - (-24)\/15. Suppose -k*p + 3*p - 28 = 0. Suppose 10 = -2*l + p. Calculate the remainder when 17 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*h + 116*h + 129*h + 6125 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, -3 in increasing order.\nAnswer: -3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 675 and 540.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*s + 18. Let j = s + -5. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 2*o**3 - 1.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 12*y - 215. What is the remainder when 15 is divided by r(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**5\/15 - t**4\/12 + t**3\/9 + t**2\/6 + 2. What is m in a(m) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1034 + -1031. Let l(b) be the second derivative of 8*b + 0 + 0*b**o + 1\/30*b**6 + 3\/20*b**5 + 1\/6*b**4 + 0*b**2. Solve l(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5759, -5780, -5811, -5852, -5903?\n\"Answer: -5*t**2 - 6*t - 5748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3615*i - 6760. What is the ten thousands digit of s(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 24 = -k, -169*k + 166*k + 2*g = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let q = 299.8 + -246. Let p = q - 54. Put b, 8, p in increasing order.\nAnswer: p, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983598210?\nAnswer: 2, 5, 71, 1759, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 149150 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: Calculate (-6)\/(-70)*12\/486*45.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 1. Calculate v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 36 = -i + 22*v, -4*v = 2*i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from cieedededeicdii.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2150, -6289, -13188, -22847, -35266, -50445?\nAnswer: -68384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.656 and 23764523434.\nAnswer: 23764523435.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2. Suppose 0 = 43*d - 102 - 25 - 2. Let r(g) = 2*g**3 - 3*g**2 + 6. Determine d*n(f) + r(f).\nAnswer: 5*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*w**3 + 5*w + 6 + 11*w**2 - 6*w - 9 to the form u*w + q*w**3 + h*w**2 + s and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 = 0, -4*y + 7*y + 2947 = -5*x. Let a = y + 15545\/16. Calculate the common denominator of a and -89\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1685 - 674.8315. Let a = j - -675.4. What is the nearest to -2 in a, 0, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*(-9 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200200 = 7*g - 14*g. Round g to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-24)*2 + 0. Let b = 1.5 - -0.5. Let y = 1.8 - b. Is w at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 = 34*m - 362 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01812751 rounded to 4 dps?\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 163*n**2 - 14*n - 4. Let r(j) = j**3 - 3*j**2 + j + 1. Determine m(o) + 4*r(o).\nAnswer: o**3 - 175*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -j - 20706. Is j a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -891529 (base 10) to base 4\nAnswer: -3121222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let l be (-3)\/(-7) - (2180\/(-140) - (13 + -1)). Let f(r) be the first derivative of -43\/2*r**2 + 0*r - l. What is f(q(k))?\nAnswer: 86*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1149 = -5*o, 2*o + 4*x - 1128 = -3*o. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*k**5 + 2595*k**4 - 2595*k**4 + k + 15 wrt k?\nAnswer: 1500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*s + 15 = 0, 4*a + 0*s + 9 = -s. What is the closest to -2\/5 in a, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10, 1, 2\/7, 1227 in descending order.\nAnswer: 1227, 1, 0.4, 2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyylyyy. What is prob of picking 1 l and 3 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18474 = -3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 49. What are the prime factors of 1830\/g - ((0 - -1) + 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001111001 - 11001000001011?\nAnswer: -1000110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9200)\/(-90) + 6\/(-27). Let v = 90 - w. Let r be -5*((-3)\/v*4)\/(-1). Solve r*i = -10 - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let s(y) = -313835939*y. Give c(s(m)).\nAnswer: 313835939*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/14)\/n**15 assuming n is positive.\nAnswer: n**(-213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/((-1680)\/(-337)) - (-12)\/(-21) and (-12)\/(-21) - (-1731)\/1050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 13*q + 1. What is the remainder when t(5) is divided by ((-47)\/((-3290)\/(-84)))\/(3 + 189\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-20)*(-1390)\/(-96) and -103\/66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxm when three letters picked without replacement from mxxmmmmm?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/34*10\/35?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/24 + (-2765)\/(-4) + -5. Let n = r - 522. What is the remainder when n is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -52?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 343, 712, 1079, 1444, 1807, 2168?\n\"Answer: -r**2 + 372*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102246 is divided by 338.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 51*s**2 - 288*s + 3410. What is the thousands digit of d(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51547 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 - 11*u**4\/12 - 7*u**2 - 81*u. Suppose -3*f = 46 - 13. What is g(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbvbbbbbbbtt. What is prob of picking 1 v and 1 t?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76028328?\nAnswer: 2, 3, 47, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 7*k + 1933. Give c(-48).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/12 - 2) + (1 - -11 - 5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/116 (b) 24 (c) -2 (d) -2\/151 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33872 (base 12) in base 8?\nAnswer: -206026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 143253?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*c + 19. Let f be c\/9*(-1 + -96). Let g = 187 - f. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - 3*t**2 - 3*t**2 + 4*t**2. Let u(c) = 6*c. Give u(w(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22086.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 29. Let l(r) be the second derivative of -1\/30*r**6 + 0*r**2 - 1\/20*r**5 + 1\/6*r**3 - 2*r + 1\/12*r**v + 0. Factor l(c).\nAnswer: -c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81367 is divided by 2688.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65432381 to five dps.\nAnswer: 1.65432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 3. Let h(n) = 10*n - 3. Let l(z) = -13*z + 4. Suppose 6*v + 15 = -3. Let p(i) = v*l(i) - 4*h(i). Calculate p(m(a)).\nAnswer: -7*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100121200210 (base 4) to base 2\nAnswer: 10000011001100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + (-806)\/(-65). Suppose -j + v = 3*u + u, -u = 2*j + 4. Suppose -16 = -5*t + u. Solve t*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 6*v - 6. Let m be a(-6). Let l(x) = 15*x - 5. Let b be l(m). Let u = b + 135. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:24 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + g + 2*g + (3 - 3 + 2)*(4*g - 4*g - g) + (2 - 3 + 0)*(-12*g + 2*g - 2*g) + 2*g + 0*g + 0*g + 4*g + g - 4*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99\/2 - -199\/4. What is the closest to -2\/11 in -5, j, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a27c (base 16) in base 10?\nAnswer: -41596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*n - 38, -4*g + 2*g = -4*n + 16. Let x be ((-1)\/(-2))\/(g\/(-72)). Solve -2*c + 5 = -5*w, 40 = x*w - 8*w - 5*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*f = 26 - 19, 5*d = 5*f - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -128*y - 8. Let n be t(9). What is n rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163722 is divided by 27282.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -9689.66405 to the nearest one hundred.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23773 rounded to the nearest one hundred?\nAnswer: -23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**3 + 129*f**3 - 35*f**3 - 33*f**3 - 31*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.19974 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 0 in decreasing order.\nAnswer: 15, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10805, 10827, 10887, 11003, 11193, 11475, 11867?\nAnswer: 12387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 240, 217, 174, 105, 4, -135, -318?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - 1) + 2 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:28 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 + 2.6. Let a = -1.2 + 1.4. Sort m, a, 2\/15 in ascending order.\nAnswer: m, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4) + (-1 - -13 - -4 - -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-90)\/22)\/5 + 2\/(-11). Let f be (b\/20)\/((-2)\/24). What is the closest to f in 0.3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1456354581 and -0.3?\nAnswer: 1456354581.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w + 30*w - 624 = -18*w. What is the least common multiple of w and 610?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Suppose -25 = -5*c, -9*u + 7*u + c - 13 = 0. Let y(l) = -l**2 - 4*l - 4. Calculate u*d(i) + y(i).\nAnswer: -i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 164552 >= 164476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from vkuknkvnunkknkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 80*y + 6. Let j(z) = -2*z**2. What is j(f(v))?\nAnswer: -12800*v**2 - 1920*v - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {j: 5, d: 5, m: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 2805990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 6, -28, 10, 0.02 in ascending order.\nAnswer: -28, -19, 0.02, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-81))\/(-8*(-9)\/(-648)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*b + 4*g, 191*b = 194*b - 5*g + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3408 is divided by 377?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 1290*n**2 - 5135480*n + 30858240.\nAnswer: 5*(n - 1148)*(n - 6)*(n + 896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(102)*3 + sqrt(102))\/(sqrt(216)*4).\nAnswer: -11*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a\/a**46)*a*a)*(a*a**(1\/9))\/a)\/(a\/a**5*a\/((a**24*a)\/a*a)) assuming a is positive.\nAnswer: a**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 8*i - 2. What is m(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2009022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 936*m + 34048.\nAnswer: -4*(m - 266)*(m + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 896.1 + -896. What is the nearest to 0.6 in -2\/5, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606266 a multiple of 1684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315522 times -0.4?\nAnswer: -126208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 6*s**4 - 12*s**3 + 8*s**2 = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:23 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 9*s**2 - 63*s - 70. Determine u(-13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 47*u - 82. Give l(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118817 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 38. Suppose -4*c + 29 + 67 = -4*q, k*q = 4*c - 102. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28051898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 + 4*h - 6. Calculate k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 19*m**2 - 14*m + 5. Let f be u(9). Let n be 6\/(-44)*f\/30. Find o, given that -6\/11*o**2 - 6\/11*o**3 - 2\/11*o**4 - n*o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -25 + 28. Suppose -x*i + 107 = -46. What is the highest common divisor of i and 306?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 35840 = -4*x. Let o = -2237 - x. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = 59922*u - 59923*u, 2*u + 6 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3 (c) 8.4 (d) -0.1 (e) -0.4 (f) 9\/8 (g) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4734*-0.5\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(270) + (sqrt(270) - -5*sqrt(270))*-6))\/(-4*sqrt(864)*-6).\nAnswer: -35*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50566448 divided by -6232?\nAnswer: 8114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 4. What is h(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*j + 7755 + 1237 = 0 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90599.\nAnswer: 90599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 73 = 21. Let y(l) = l - 18. Let t be y(13). Let p(m) = -m**3 - 5*m**2 - 5*m. What is the remainder when h is divided by p(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*x**2 + b**2*x + 6*b**2 + 52833*b*x**2 - 75161*b + 1 with respect to x.\nAnswer: -4*b**2*x + b**2 + 105666*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 9854 + 9796 + 67*f**2 - 19707 in the form w*f + d + k*f**2 and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -42?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -71 (c) 3 (d) -4 (e) -0.01 (f) 2\/15 (g) 0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:29 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -2. Let v be (-918)\/(-63) + g\/(-7). Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-8))\/(z\/((z\/(z\/z**(1\/34)))\/z)))\/(z**1\/(z*z\/((z*z\/(z\/(z\/(z**(-11)\/z))))\/z)*z)))**(-3) assuming z is positive.\nAnswer: z**(1935\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229 + -114. Which is greater: 114 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**15)**(-3\/19))**(2\/7))**30 assuming i is positive.\nAnswer: i**(-2700\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.22 and -4.\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/(55775\/(-3977))*(-1)\/(-1).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/78 - 24\/(-13). Suppose -2*c = 2*n - 44, -3*n + 0*c = -v*c - 41. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1) + ((-147)\/(-3) - 3). Let f = -8 + d. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.86991444 rounded to three dps?\nAnswer: -14.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 8. Let w be z(6). Let t = -5 - -7. Suppose h - w = t*a + 2, -2*a - 6 = -2*h. Which is smaller: -4\/3 or a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/120 + 7*i**5\/20 + 109*i**4\/24 + 65*i**3\/6 - 507*i**2\/8 - 14*i + 3. Factor s(d).\nAnswer: (d - 1)*(d + 3)*(d + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Suppose 10 = 5*p + 2*x, -p + 3*p - c*x = 28. Suppose -n + p = -4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156)*2)\/(sqrt(576)\/sqrt(9)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l. Let s(g) = 100*g**2 + 2*g. Calculate s(k(z)).\nAnswer: 1600*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -53334?\nAnswer: 53331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 12*s. Suppose 0 = 2*h + w - 25, -4*h + 2*w + 46 = 0. Let y be g(h). Let f = 6965\/59 - 118. Is y bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y + 1. Let l(t) = 0 - 2 - 2 + 3. What is -3*l(r) - o(r)?\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 72 = 10*l. What is the third derivative of 9*m**3 + 15*m**3 - 6*m + 6*m + l*m**2 wrt m?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(9\/6) - -3. Let p(x) = -1 + 0 + a*x - x**2 + 0*x**2. Suppose -4*q + 9 = -q. Give p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 10*p + 974753 = -8*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 186\/(-30))*(-5)\/2. Let z(t) = 3*t**2 + 20*t - 24. Let f be z(y). Solve 3 = -c + f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*z + 19, 3*z = -3*k - z + 29 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/4 (b) 4 (c) 26 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -700, -1564, -2760, -4282?\nAnswer: -6124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 315.8617\nAnswer: -316.8617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + q**2 - 3*q**3 + 5*q**3 + (-188*q**2 + 103*q**2 + 191*q**2)*(-2*q - q + 2*q).\nAnswer: -104*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1642 + 1658. What is the highest common divisor of a and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -775413 - -3\nAnswer: -775410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 + 0 = 0. Suppose 0 = 5*r - f*r - 36. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 100880718 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32634.5 - 32635. Let h = 0.37 - -0.03. Put 0.1, 2, h, l in increasing order.\nAnswer: l, 0.1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684901.\nAnswer: 11, 334991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -712, -1393, -2034, -2635?\n\"Answer: 20*a**2 - 741*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 3*j**3 + 0*j**3 + (-4 + 4 + 2*j)*(2*j**2 - j**2 - 3*j**2) - 589 - 92*j**3 - 87*j**3 + 180*j**3.\nAnswer: -4*j**3 - 589","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 14*d - 18. Let n be k(-12). Let m(v) = -v**3 - v**2 + v + 1. Let w be m(-2). Sort 1, w, n.\nAnswer: 1, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 3*o - 5*i, 4*i = -5*o + 22. Suppose -o*l + 14 - 2 = 0. Solve f = -y + l, -4*f + y + 24 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (15 - 7)) + -4 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2)**(12\/17)\/((s*s**(1\/7)*s)\/s*s**0\/s))**(5\/14))**40 assuming s is positive.\nAnswer: s**(15100\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8569544 + -5?\nAnswer: -8569549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005838 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x - 4. Let u be b(0). Let z = -3.3 + 3. Let f(d) = -d**3 + 11*d**2 + 13*d - 7. Let l be f(12). What is the third smallest value in u, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 3. Let d(c) = 8 - 9 + c - 2*c. Give 4*d(v) - s(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 48. Let t = -318 - -816. Suppose r = -4*j + j + t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538624645 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 53*i + 130 - 298 - 38*i as c*i + j and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 1, t: 2, g: 2}. Give prob of sequence iu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 97.42547 micrograms?\nAnswer: 0.00000000009742547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 16. Calculate the remainder when 39 is divided by 2\/(b*1\/(-7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, 66, 45, 14, -27, -78?\n\"Answer: -5*i**2 + 4*i + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 17*c**2 + 8*c + 9. Let v be r(-10). Let o = -225 + v. Solve 5*b + l + o = 0, -2*b + 4 = -4*b + 2*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 11308\/1089) + 3*(-1)\/(-27)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/15)\/((-2)\/20). Let a be -2*(-15)\/i - 4. Let s be a - (59996\/(-1) + -3). Round s to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/412370 and -23\/70.\nAnswer: 412370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197089.\nAnswer: 17, 67, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 12. Suppose 26 = 4*g + 3*h, -2*g + 3*h + 9 = g. Solve 2*v - j = -g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 6) to base 15\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) 4 (b) -6 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - h. Let w(a) = 3*a**3 - 51*a**2 - 5*a + 19. Give 5*t(s) - w(s).\nAnswer: -3*s**3 + 41*s**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r = 62*r + 6*r - 80 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2. Let o(y) = 5*y + 1098. Calculate t(o(g)).\nAnswer: 50*g**2 + 21960*g + 2411208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 158938*m**2\/5 - 631516302*m + 631548090.\nAnswer: -2*(m - 1)*(m + 39735)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*r**3 + 6*r**3 + 13*r**3 + (-r**2 + 1 - 1)*(-3*r - 2*r + 3*r) + r - r - r**3 - 42*r**3 + 12*r**3 - 17*r**3.\nAnswer: -86*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 + 2*t + 6. Let y be ((-18)\/30*(-280)\/(-32))\/((-6)\/8). Let u(v) = 11*v**2 + 4*v + 11. What is y*c(p) - 4*u(p)?\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((-25 - -3) + -7 + 17 - -9) - 53.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 4. Suppose -4*m + 3*n = -321, 5*m - 13*n + 9*n - 401 = 0. Calculate the remainder when m is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*t + 884 = 0, 4*q + 11*t - 1181 = 6*t. Let m = q - 254. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/4 + -15 + 9 + -18.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, -0.07, -0.4, -0.1874?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 520\/120 + (-2 - 6)\/2. Determine b, given that -k*b + 0 + 1\/3*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5562570184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -444351 + 22?\nAnswer: -444329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u**3 - 2*u**2 + 3*u - 1. Let p be m(2). Let j = 231 - p. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k = 53*k + 600. Suppose 4*u + f - 652 = 0, -u - 5*f + 62 = -k. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 9 = g, g - 3*s = 12 - 25 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 98600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.387587 milligrams in tonnes?\nAnswer: 0.000000009387587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1031 - -1035. Sort 2\/9, -2, v, -4\/5 in increasing order.\nAnswer: -2, -4\/5, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 1. Let h(d) = -3*d - 1. Let m(s) = h(s) + 4*o(s). Let x(p) = 1. Suppose -11 = 5*u + 2*a, 5*u - a + 20 = 3. Calculate u*x(t) - m(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30659 + 1458971. What is i rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2327, 2373, 2419, 2465, 2511, 2557?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 382, 687, 1196, 1909?\n\"Answer: 102*d**2 - d + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878617.2ng to grams.\nAnswer: 0.0008786172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let y = 1.9 - m. Let s = -457 - -457.2. Which is the third biggest value? (a) s (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 - 15*g - 85. What is w(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5055*d - 8371*d - 2961*d - 606319 = 0 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.0991, 0.1, -2123 in ascending order.\nAnswer: -2123, -5, -0.0991, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10121202212221212?\nAnswer: -10121202212221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.4192 - -0.5808. What is the closest to -6 in 5, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.98 - -0.02. Let l = 1.01 + -0.01. Sort l, -0.3, c in decreasing order.\nAnswer: c, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 divided by -5?\nAnswer: 429\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-6)\/(-8))\/(-1). Suppose 2*u - 5*n - 4 = 0, 12 - 3 = -5*u + 3*n. Which is the second biggest value? (a) 0.1 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-405)\/(-36)*(-1 + 9). Suppose 9*v + 18 = g. Calculate the remainder when 29 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64654*c**3 + 133*c**2 - 2*c - 3 wrt c?\nAnswer: -387924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 1 - 1)*(0*u + 0*u + u)*(u**2 + 9*u**2 - 6*u**2).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51865256.\nAnswer: 2, 1913, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-4\/11)\/h*h)*h**(-9)*(h**(-2\/5)\/h)\/h**(-1\/6) assuming h is positive.\nAnswer: h**(-2927\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*l = -l - 8, 0 = -4*l. Suppose o*u = -21 + 5. Let q(r) = r**3 + 4*r**2 - 3*r - 4. Give q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 16. Suppose -4*k + 19 = s. Suppose -k*c + 25 = 2*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1153 (base 8) to base 2.\nAnswer: -1001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11093*r**5 - r - 2799 wrt r.\nAnswer: -221860*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4450\/1335*((-24)\/10)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -674, -2628, -5904, -10502, -16422?\n\"Answer: -661*y**2 + 29*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*j + 35, -4*j - 1419*a + 28 = -1420*a for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 3*j**2 - 4*j**2)*(37 + 11*j - 41 - 3 - 34) as a + o*j**3 + v*j**2 + c*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891))*-5 + -1 + (sqrt(44)\/(sqrt(4)*2) + -1 + 1*sqrt(11))**2.\nAnswer: -48*sqrt(11) + 79\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 833, 1296, 2073, 3164?\nAnswer: 4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*j + 15117 = 5569 for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2, 1322 in ascending order.\nAnswer: 2, 3, 5, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 6, -1 in decreasing order.\nAnswer: 15, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -16)*-3 + (-2 + 2)\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 37\/(-2))*-2. Suppose -4*t = t - 5. Let k be (5 + -2)\/t + 1. Solve k*l = 5*x + j, -l - l + 22 = -4*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 1, x: 1, n: 2, a: 1, q: 2}. Give prob of picking 1 x, 1 i, and 1 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*m - 15, -4*w - 5*m + 3*m = 10. Suppose w = -j + 1, -25 = -0*f + f - 5*j. Let s = -11 - f. What is the remainder when 24 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 58. Let l be v(-20). Suppose 2*s - 36 = 4*t, -l*t - 8 = -4*s + 34. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 7317.\nAnswer: -14\/2439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 = -23*i + 791 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 + (-102)\/5. Let s be (-5*8\/d)\/1. Determine a, given that 1\/5 + 2\/5*a + 1\/5*a**s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*c*t*y**3 + 3*b*t + 2*b*y**3 + 2*c*t - 3*c*y**3 + t*y**3 - 2*t*y wrt b?\nAnswer: -2*c*t*y**3 + 3*t + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2104984802 to the nearest integer?\nAnswer: 45880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by 10?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:42 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.5783 micrometers in nanometers?\nAnswer: 899578.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1997?\nAnswer: 5\/1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k + 6. Let p = -2 - -2. Calculate w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*6*8\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**3 - 4*p**3 + 28*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 7*q - 2. Let c = 20 - 16. Suppose -123 = -5*s - c*f, -2*s + 4*f + 35 = -31. Suppose -2*z + s = 5*t, z + 2 + 22 = 5*t. Give k(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214\/371 - 48970\/371. Let p = y - -133. Find q such that -3\/7*q**3 + 3\/7*q - p*q**2 + 3\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196272 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3949206 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*k = -35 + 23, -4*k = 3*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*d + 1567, d = -a + 540 - 17. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4744 is divided by 1171?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23864383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -33 (c) -1\/5 (d) -9 (e) -0.043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/30 + 29*q**2\/2 + 43*q. Let x(g) be the first derivative of w(g). Let d(a) = -5*a + 9*a**2 + 5*a. Determine x(d(u)).\nAnswer: 162*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167311023656 - -0.04?\nAnswer: 167311023656.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 135. What is the highest common factor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t + 83 = 383 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*(4025\/(-105))\/((-270)\/(-54)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5380.9 rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2626 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 540213 = -12*q - 43605. What are the prime factors of q?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*8\/(-36))\/((-2)\/18). Which is the smallest value? (a) -2\/81 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 849 + -226. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 1. Let h(p) = 13*p**3 + 9*p**2 + 8*p + 13. Let q(m) = 3*m**3 + 2*m**2 + 2*m + 3. Calculate r*q(o) - 2*h(o).\nAnswer: o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 962560657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**3 + 4*d**2 - 7*d + 4. Let b(a) = 5*a**3 - 2*a**2 + 3*a - 2. Determine -9*b(f) - 4*c(f).\nAnswer: -5*f**3 + 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d**3 - 71*d**2 - 7*d + 2. Give k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - h + h + 2. Let u(f) = -f**2 + 1. Let l = -152 + 151. Let k(c) = l*o(c) + 5*u(c). What is the derivative of k(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) + (-4 + sqrt(2057) + -1 - sqrt(2057)) - sqrt(2057)))**2 + 1.\nAnswer: 110*sqrt(17) + 2083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 72*m**2 + 102*m + 293. What is the hundreds digit of z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 12802, -0.1, -2\/51, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 63*v - 1350. What is the thousands digit of f(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + (-3 - -6)\/(-3) - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/20 - k**4\/3 + k**3\/2 + 33*k. Give j(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from wnwuwwwnwwwwwnw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Let d = -32 + 26. Let t = -23\/4 - d. Which is the third smallest value? (a) o (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 20. Suppose -5*i + i + 335 = -c, z*i = -5*c + 317. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 16 = -4*b. Let j = 5 - b. Let y be (((-15)\/21)\/5)\/j. Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from folml. Give prob of picking 2 l and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*k + 25*k - 23*k)*((-2*k + k + 2*k)*(2*k - 4*k + 3*k) - 2*k**2 + 0*k**2 + 3*k**2 + k**2 - k**2 + k**2) + 4 - 2 + 2*k**3 + 1.\nAnswer: -163*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -9. What is the remainder when 17 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**5*f*g - 429701*c**3*f*g - 10198*c*f*g + 5*f*g wrt c.\nAnswer: -60*c**3*f*g - 2578206*c*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -373 + 372.95. Let x = -316368\/25 + 8857786\/675. Let j = x - 468. Are y and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2087\/70 - 24\/35. Let n = -4\/173 - 3939\/1730. What is the common denominator of r and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6643*f + 7284*f - 8333 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:34 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 68, 51, 16, -43, -132, -257?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 583.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101102 + 11200102120?\nAnswer: 11200210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3*v**2\/2 - 19*v + 1. Let j be l(11). Let a = j + 8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (89 - 215 + 86)*(2*a - 5*a - a + (0 + 1 + 0)*(0 + 0 + 2*a)) in the form x + w*a and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/223 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*c - 0*c. Let y be -1 + (c*339996 - 3). Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5*n - 10, 4*x - 7*n + 2*n - 28 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-405 - 85 + 0)*(5*b - b - b + (1 + 0 - 2)*(b - b - 2*b) + 1 - 1 + 2*b).\nAnswer: -3430*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skfkkzknknkkkkbsks. What is prob of sequence nkb?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 3 = 0. Let i = a - -17. Let f = i - 6. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*g**2 - 2843*g*p**2 + 2094*p**2 - 20*p wrt g.\nAnswer: 66*g - 2843*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*1 - ((-24)\/4 - 1120). Suppose 0 = -17*h - y - 1922. Is -180 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 2*c + 4*v + v, 4*v = 8. Let n = c + -71. Solve -n = 2*h - a, 0 = -5*h - 0*a - 4*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 6. Let j be u(-3). Let f be (3\/j*-6)\/(-1). Let w = -0.2 + -0.8. What is the nearest to w in -2, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 11177.\nAnswer: 324133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.387 and -12.\nAnswer: -52.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122\/305*(-10)\/6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 3 (c) 0.02 (d) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.662721707 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1024195 by -128.\nAnswer: 1024195\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*y + 29. Suppose -4*w = -2*h + 16, -y*h - 26 = 4*w - 0*h. Let n(j) = j**3 + 6*j**2 + 4*j - 2. What is n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6*207\/6. Let q(y) = 7*y**2 + 9*y + 9. Let d be q(-3). Is d at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**4\/12 + 37*q**2. Let p(n) = 46*n. Give m(p(g)).\nAnswer: 92*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - ((sqrt(144) + -1*sqrt(144))\/sqrt(4) + sqrt(36)))\/(sqrt(9)\/(sqrt(6)\/sqrt(2))))\/(sqrt(30)\/(sqrt(50)\/sqrt(10)) - sqrt(24)\/(-1*sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*j**3*m + 22*j**3*o + 689*j*o - 910*m*o wrt m?\nAnswer: 16*j**3 - 910*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -4*o**6\/27 + 182*o**5\/15 - 634*o**4\/3 - 58516*o**3\/27 - 13912*o**2\/3 + 2738*o + 1590. Solve h(y) = 0.\nAnswer: -3, 1\/4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:59 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 68?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10052*o + 120610. Give f(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllrlllllllllll. What is prob of picking 1 l and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648920.\nAnswer: 2, 5, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46615*v + 53753.\nAnswer: 46615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -8 + (27 - 35)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m + (0 + 3 - 2)*(-2 + 2*m + 2) + (0*m + 0*m - 13*m)*(1 + 3 - 1))*(-3 + 4 + 0).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1413999 and 4085?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xobax. What is prob of picking 1 o and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3938 and 2864.\nAnswer: 31504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 219\/(-126) - (-4)\/96*4. Put 0.2, k, 5 in decreasing order.\nAnswer: 5, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.15924l to millilitres.\nAnswer: 4159.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-84)\/4 + 5. What are the prime factors of (-17169)\/p - (-12)\/72?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928813 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(2 + 1 + -4). Let h be (2\/1)\/(30\/s). Factor 2\/3 - p**2 + h*p.\nAnswer: -(p - 1)*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**3 - 5*p**2 + 3*p. Let c(f) = -f**3 + 4*f**2 + 3*f + 1. What is the remainder when g(2) is divided by c(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22255.\nAnswer: 5, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43698.\nAnswer: 2, 3, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-22 - 4) - 8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 3\/2, 3966\/11 in decreasing order.\nAnswer: 3966\/11, 3\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let b be 2\/1 + -2 - 0. Let p(r) = 6*r**2 + r**3 + 8*r**2 + 11*r**2 - 24*r**2 + r + 3. Let n be p(b). What is h(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:49 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n - 858. Determine a(-33).\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 16, 1.8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/19 - 1458*s**2\/19 - 2922*s\/19 - 1462\/19.\nAnswer: 2*(s - 731)*(s + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 1048. Let p(y) = -302*y. What is p(h(t))?\nAnswer: -302*t - 316496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 6*w + 9*w + 4, 5*v + 18*w = 22*w + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 11*o**2 + 1190*o - 13008. Give m(11).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u = -5870 + 766. What is the smallest common multiple of 1 and u?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 14) to base 5.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 7. Suppose -4*z = -z + 3*p, 4*z + 3*p + 3 = 0. List the prime factors of o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 28 = 2*p. Let n = -10 + p. Suppose n*v + 156 = 3*f - 391, 3*f + 2*v = 559. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.48 and 973826908?\nAnswer: 973826907.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -33544*w + 369020. Calculate t(11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d - 10 - 294 + 144 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -431, 220, 4.\nAnswer: -431, 3, 4, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -16.99. What is the smallest value in 3, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2022*k = 2029*k + 49. Let q(f) = 6*f - 18. Let m(c) = -c + 1. Let g(o) = 30*m(o) + 2*q(o). What is the units digit of g(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98952)\/(-32)*2 - 1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 23*s**2 + s - 5. Let n be h(23). Suppose -4*w = 5*w - n. Factor -3*o**w + 0*o - 9*o + o - 7*o - 6 + 6*o**3.\nAnswer: 3*(o - 2)*(o + 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/4 + 2313*z**4\/4 - 11527*z**3\/2 + 27631*z**2\/2 + 23055*z\/4 - 57575\/4 = 0 for z.\nAnswer: -1, 1, 5, 2303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) + sqrt(24))\/sqrt(2))\/(sqrt(144) + 2*sqrt(144)) + 1.\nAnswer: sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412474*j**2 - 412794*j**2 + 825270*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 334 = -19*d - 287 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 692*f - 926*f - 996*f - 2448*f. Let i(s) = -2*s**2. What is t(i(o))?\nAnswer: 7356*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0534 - -0.2466. Let o = 16 + -14.7. Put o, 2\/5, q in descending order.\nAnswer: o, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3123 + 3122.7269. Let c = 1573.7269 - j. Let z = c + -1574.0000631. What is z rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynyk when four letters picked without replacement from yyykynkykky.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125965?\nAnswer: 5, 7, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887 + 96 = -140*k - 91 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 10. Let j be h(-7). Let a(d) = d**2 - 3*d - 4. Let g be a(7). Let y = g + j. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/62 and (54 + 1 - 8)\/(-1 - -45).\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33175, 386 in decreasing order.\nAnswer: 33175, 386, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3284\/3 + -19757\/18. What is the common denominator of -65\/12 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 2*v - 1, -7*i + 2*v - 1 = -12*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s - 2*a = 0, 3*a = 2*s - 8. Suppose -b + 11 = -s. Suppose 4*c - r - b = -5*r, -3*r = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/(-10))\/2)\/(-14*27\/(-945))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9 - 0)*(-36)\/4. Which is the second smallest value? (a) 1 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.758215 centuries?\nAnswer: 75.8215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.281309*-0.1\nAnswer: 0.0281309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 10, 37, 106, 235, 442, 745?\n\"Answer: 3*t**3 - 6*t**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 + p + 16. Let j be r(0). Solve -4*w = -2*n + 6*n - j, -2*w + 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 1. Suppose 5*d - 2 = -3*k, 4*k = -3*d + d - 2. Let f(u) = 1. Let n(h) = d*f(h) + 2*w(h). What is the derivative of n(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 48*t - 580. Determine v(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*k - 2*m + 4*m, 2*k + 26 = -5*m. Calculate the least common multiple of 48 and ((-72)\/4)\/(6\/k).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/45778 and -55\/750954?\nAnswer: 35294838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*n, 2*n + 2*n - 9 = -5*x. Let c(f) = 4*f + 132. Let y be c(-34). Put y, x, 6 in descending order.\nAnswer: 6, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/3)\/r*r**2)\/((r**1*r)\/r*r*r*r*((r\/(r\/r**(-7)))\/r)\/r)*(r*r\/(r*r**(-8))*(r**(-8)*r)\/r)**34 assuming r is positive.\nAnswer: r**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -174 + 177. Let t(y) be the second derivative of 7\/12*y**4 + 0*y**2 + 5*y - 5\/6*y**r + 0. What is the second derivative of t(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -453576 (c) 1\/7 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222271, 444536, 666799, 889060, 1111319?\nAnswer: 1333576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2*l**3\/3 + 19*l**2 + 35*l - 181. Let n be o(20). Let c(h) = -h**3 - 4*h**2 + 6*h + 1. Determine c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 90*g - 6303. Let d be k(70). Let x(t) = 17*t + 66. Calculate x(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19078114030*x + 2479*x**3 + 19078114030*x.\nAnswer: 2479*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -8. Let s = 29.471 + -13.457. Let i = d - s. What is i rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1705 and 12396032?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-27) - (-2)\/(-6). Let i = 8584 + -308995\/36. Let v = d - i. Is 0 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2065, -4130, -6195, -8260, -10325?\nAnswer: -12390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 7959, 20775, 38733, 61839?\nAnswer: 90099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (-2 + sqrt(5808) - sqrt(5808)))**2 + 5 - -6*(sqrt(5808)*2)**2.\nAnswer: 16*sqrt(3) + 139449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938950 is divided by 580.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/4 - 88\/24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 10*c - 198 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196*t**5 - 51*t**2?\nAnswer: 11760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157525 to the power of 1\/2, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 990*r - 2941*r + 10623*r. Let y be m(1). Let v = -86328 - y. Round v to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*f + 414, -2*w = 3*f + 282 + 307. Let p(c) = c**2 + 2*c + 1. Let q be p(-3). Is (f\/2)\/((-2)\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 + 2. Let a(k) be the first derivative of -17*k**3\/3 - 5*k - 184. Give 2*a(b) + 5*p(b).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p**2 - 57*p + 329. Determine u(5).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7215 and -36072\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**3 - 18 - 30*j**3 - 403*j**2 + 12*j**3 + 21 as d*j + r*j**3 + q + g*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1317*w**5 - 1608*w.\nAnswer: -26340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -1\/3*p + 0 - 25*p**3 + 76\/3*p**2 = 0.\nAnswer: 0, 1\/75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 16*c**2 + 14*c - 10. Let x be v(-15). Suppose x*w - 5*y - 36 = 3*w, -y - 136 = -5*w. Calculate the lowest common multiple of w and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 19. Suppose 2*c + 2*c - 5*z = 182400045, -w*c + 228000046 = 4*z. Suppose 2*t + t = 5*y + c, -t + 15200006 = -3*y. Round t to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 2*k**2 - 2*k. Let m(s) = 10*s**3 - 11*s**2 - 10*s + 1. Suppose -6 = -17*p + 15*p. Suppose 0 = -p*d + 12*d + 18. Calculate d*m(i) + 11*v(i).\nAnswer: 2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108979 greater than 108999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137, -276, -415, -554, -693, -832?\n\"Answer: -139*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -189\/4, 9, 1 in descending order.\nAnswer: 9, 1, -0.2, -189\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3*(4 - 1). Calculate the highest common divisor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -173?\nAnswer: -5\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0, -165030, 3\/8?\nAnswer: -165030","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 17*h - 23. Let z be o(5). Let k be 4\/(-12)*(2 - z). Calculate the greatest common divisor of k and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 4:25 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 874569675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*m - 7, -18*m - 3*c = -22*m - 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 377437890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*l**5 + 2*l**3 + 188*l + 1 wrt l?\nAnswer: -160*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2074, 9234, 21164, 37864?\n\"Answer: 2385*m**2 + 5*m - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (846\/54 - 15)\/(1\/21). Let i = 3 + 0. Solve -2*g + 2*y + 17 = -y, 0 = g + i*y + x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 12:31 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212242244 + 31?\nAnswer: -212242213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -174*f + 11313. Let s be y(65). Suppose -5*a = 985 - 3925. Suppose -955 = -6*v + v + 5*d, -s*v - 2*d = -a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -614*j**5 - 9*j**4 + 100*j**2 - 27*j wrt j?\nAnswer: -36840*j**2 - 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -664218 divided by 221406.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*r + 32762, z + 11201 = 2*r - 1902. Is 72 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229269603 or 229269604?\nAnswer: 229269603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*r - 20 = 0, c + 8 = 3*c + r. Let f = 0.04 - 3.04. Let t = 3.02 + f. Sort 0, c, t in descending order.\nAnswer: c, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = -3, -5*w + 5 = 5*c. Let z be ((-103619)\/c)\/(5 - -4). Let k = -5749 - z. Calculate the common denominator of k and 9\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1296, 10683, 36234, 86031, 168156?\nAnswer: 290691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyyycryc. Give prob of picking 1 c and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-2))\/(5\/(-195)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Suppose -s - p*f = 0, -5*s + 2*f - 15 - 12 = 0. Is 122\/4 + s\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17594649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20498, -31850, -43202, -54554, -65906, -77258?\n\"Answer: -11352*v - 9146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2626737\/10 + 262899. Let z = d - 225. Let j = 0 - 0. Is j at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -21, 0.3, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from qllqqpqllbtqllbt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f + 147. Suppose 0 = -8*i + i + 196. Let d = -65 + 105. Calculate the remainder when d is divided by x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17960?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32889501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 - -442. Let g be (14*1)\/2 - -1. Solve -f*k - g = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 4. Let i be s(-3). Let n be 2\/14*(-18 + 31 + -14). Let x = 1 + -1. What is the second biggest value in x, 2\/3, n, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16119718150 to the nearest one million.\nAnswer: 16120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2812401 is divided by 33884.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 546787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3598?\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 0*f + 2*f. Let r(j) = -14*j. Let m(y) = -8*d(y) - 3*r(y). Let k(x) be the second derivative of x**4\/4 + 4*x. Calculate m(k(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9262741 - 1.6216\nAnswer: -9262742.6216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 49*k + 9. Let l be i(2). Suppose -20 = 5*h, 4*h + 22 + 65 = -z. Let t = z + l. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - d + 120 = 0, 2*m = 5*d + 3 + 72. Let n = -25 - -35. Let g = -5 + n. What is the highest common factor of g and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10852 - 86815\/8. Which is the closest to 1? (a) j (b) 1\/2 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5*j - j + j.\nAnswer: 5*j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let x be r(-2). Suppose -4*y + 10 = 2*t, 4*t - 5*y = -t - 5. Let h be -5 + 1 + t + 8. Solve x*w - h*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1545.95392 + 1546. Round q to three decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = -18. Let s(p) = 2*p + 8. Let q be s(f). Let w = q + -3. What is the remainder when 33 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 - 86 - (2 - (1 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(500)*-2 + 5.\nAnswer: -20*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 151776177 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1*1*-2. Let j be ((-20)\/6)\/(225\/(-1620)). Let u be 2\/(-9)*j\/32. Are b and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001000011010000110110 (base 2) to base 15\nAnswer: -31d027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 29. Calculate the remainder when 59 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)\/((-3)\/(-42)). Suppose w + w = s. What is the remainder when 19 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1915, -2\/11, 6 in decreasing order.\nAnswer: 1915, 6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -12*((-4)\/(-3) + -2) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ssfsfsssssfssso.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 0*v + 5*v - v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 46220*-0.16\nAnswer: -7395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -761\/20 - -37019\/980. What is the common denominator of m and 103\/672?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 149 and 272.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46.755 * -7.\nAnswer: -327.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121092*v + 121080*v + 180 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Let h = 118 - 116. Let u(g) = 15*g - 89. Let x be u(6). Put -4, x, h, p in descending order.\nAnswer: p, h, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - n - 62 = 0, -6*r = -r + 2*n - 71. Let p = -2 + r. Suppose -3*f + 4*f = 4. What is the remainder when p is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26 (b) -3 (c) 82 (d) -18 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrgerrmmmsfrr. Give prob of sequence rmg.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = -5*b + 8, 5*u = 5. Let w(y) = 4*y**b + y - 3*y**2 - 460 + 0*y**2 - 2*y. Let p be w(0). What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 1\/160*n**5 + 0*n**3 + 0*n**4 + 17*n + 0*n**2 + 1\/240*n**6 + 0. Determine g, given that q(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 8*n + 66 - 3*n - 5*n to y + q*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7421114 and 382?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1*(-4 - -5). Suppose -3*z + b + 701 = 2*b, -3*z - t*b + 711 = 0. Calculate the smallest common multiple of z and 16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 82496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p**3 + p**2. Let d be g(-1). Let y be (-31)\/d + 8\/(-28). Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*o**5 - 2*o**4 - 14155*o**3 + 4*o**2 - 110*o + 159.\nAnswer: -1020*o**2 - 48*o - 84930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1112?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 + 5074116*m + 5074113 = 0.\nAnswer: -1691371, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61121 + 34541. What is j rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724462 is divided by 1424?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(3\/13)*l)\/l))\/l*l*(l\/l**(5\/6))\/l assuming l is positive.\nAnswer: l**(-47\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x - 1064 = 61*x + 36 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.878819 rounded to 2 dps?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(-5 + -29). Solve b + 5*l = -g, 11 = 3*b - 4*l - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 2669.\nAnswer: 4\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7974 is divided by 7813?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5497768399?\nAnswer: 8179, 672181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30143059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149464 = 18*s + 37486. What is the remainder when s is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 6. Let r(l) = -5*l - 7. Let c = 5 + 1. Let b(j) = c*r(j) - 7*h(j). Let y(f) = -2*f**2 + 4*f**2 - 5*f**2. Calculate y(b(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 4*k**3 - k**3)*(129*k**2 + 55*k**2 + 7*k**2) + 3*k**5 + 3*k**3 - 3*k**3.\nAnswer: -570*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -19*b**9\/504 - 17*b**7\/210 + 1517*b**5\/60 + 1458*b**2. Find the third derivative of z(l) wrt l.\nAnswer: -2280*l**3 - 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 - v**2 + 5*v**2)*(-v + v - 2*v**2) - 202014 + 404009 - 212*v**4 - 202005 to k*v + t*v**2 + h + m*v**4 + s*v**3 and give m.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 18. Suppose -2*y + 4*y = -2. Suppose 5*f + 3*a = 0, 2*a - 6*a = -5*f + 2*f. Sort 1, y, q, f in descending order.\nAnswer: 1, f, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102741 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 51. Suppose i = -2*n + 12. Put 4, -4, n in ascending order.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.2. Let q be 8\/(-10) - 48\/(-10). Which is the third biggest value? (a) d (b) -3\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -440475 (base 8) to base 11\nAnswer: -a102a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -1\/2, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08218 to three decimal places.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 357\/(-238)*(0 - (-16)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110492421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10823010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(1\/4)\/t*t*t)*t)\/t)\/(t\/((t\/(t\/t**(2\/9)))\/t))*(t**(-2\/5)*t)**28 assuming t is positive.\nAnswer: t**(2299\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**2*z**2 + 85*w**2 - 1216*w*z - 2*w - 431181*z**4 + z - 1 wrt z?\nAnswer: -4*w**2 - 5174172*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6032a5 - -544?\nAnswer: 603839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, 0, -1, 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11\/(h**(-2\/5)*h) assuming h is positive.\nAnswer: h**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8021 + 8126. Calculate the greatest common divisor of 399 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxjdcjddppoc. Give prob of picking 1 c, 1 j, and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i. Suppose -z = 3, -2*z + i*z = 4*d - 58. Calculate the highest common factor of 176 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 201, 1\/3, -2\/11, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124956377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -4*n + 10, 4*w - 44 = -n. What is the common denominator of ((-2607)\/(-48))\/w + -1 and -143\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*k**2*w + 37*b**2*k**2 - b**2*k - 13*b**2 + b - 95529005*k**2*w + 2*k**2 + 404 wrt w?\nAnswer: 2*b**2*k**2 - 95529005*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from xxxxoxgxxxxgxxxxx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/8 - u\/8 - 5\/2 = 0?\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 125?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 571966*h. Let n(v) = 27*v**2. Calculate b(n(f)).\nAnswer: 15443082*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2442776 rounded to 4 dps?\nAnswer: 0.2443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/205840 and -115\/46314.\nAnswer: 1852560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + 393246\/(-4935) - (6\/40 + (-2)\/(-8)).\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -938212 to the nearest ten thousand.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -11) + 0 - (-64 - (-8 - -21))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8b2dff (base 16) to base 3\nAnswer: 122011102001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 85. Is (58*1\/4)\/(x\/456) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -51.9.\nAnswer: -3.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -72\/13?\nAnswer: -72\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7517106 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4 - 36*w**3 - 192*w**2 - 256*w = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**2 + 15*p**5 - 22*p**5 - 118*p**4 - 46 + 2*p**5 + p**5 - 5*p**2 wrt p.\nAnswer: -240*p**2 - 2832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 12*r + 381 - 124 - 129.\nAnswer: 12*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(170) - sqrt(170))\/sqrt(10) + 2*(sqrt(1700) - (-1*sqrt(1700) - sqrt(1700))).\nAnswer: 51*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let k be (x - -4)\/(-3 - -5). What is the units digit of (-1 - -14) + (2 - k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25712, -25713, -25714, -25715, -25716?\nAnswer: -25717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194529143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -462 and -76857.\nAnswer: -77319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - (392 - 372)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711189681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 69. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*b - 109, 2*b + 3*b = 4*w - 451. Suppose 0 = -19*g - 0*g + w. Solve 2*c + c = -g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-54)*((-648)\/(-208))\/(-9)*13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2410 and 293160.\nAnswer: 70651560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/2 - h**2. Let x(i) be the third derivative of 2*i**2 + 0*i**4 + 0 + 0*i**3 - 2*i - 1\/30*i**5. Calculate x(m(s)).\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-17)*s\/s**(-4\/15))\/(s**(-25)*s*s\/(s\/(s\/(s*s**(1\/8))*s))) assuming s is positive.\nAnswer: s**(887\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -31?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o + 6. Sort -4, o, -2.\nAnswer: -4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103991.\nAnswer: 103991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/24 + r**3\/6 - 15*r**2. Let y(d) = 5*d**2 - 5*d + 5. Let u(z) = -30*k(z) + 6*y(z). Let s(b) = b. Calculate u(s(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 12*z - 5. Let w be y(-7). Suppose -4*b - b + 18 = 3*m, -5*m + 3*b + w = 0. Suppose 0 = -3*n + 30 - m. Solve n - 2 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-17)*(-24)\/(-84).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 5*s**2 - 6*s - 5. Let u be r(-3). Which is the fourth biggest value? (a) 3\/4 (b) 0.4 (c) u (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 219 - 67 = 4*m, -a + 34 = 5*m. Let b be (45\/a)\/((-35)\/21). Sort -4, b, -0.08, 0.2 in ascending order.\nAnswer: -4, b, -0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 0*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26250379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 39 = 6*y. Let l(v) = 2*v**3 - v**2 + 18*v - 39. Let r(k) = -3*k**3 + 2*k**2 - 19*k + 40. Let o(h) = y*r(h) + 4*l(h). Let o(t) = 0. What is t?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247139781.\nAnswer: 3, 7, 31, 193, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1 + 2 + sqrt(1053) - sqrt(1053)) + -2*sqrt(1053)*2)**2.\nAnswer: -162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 > 4\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -x + 5, 3*x = 3*t + 4 - 1. Suppose 2*y + x*y = 0. Find the second derivative of 10*b + y*b**4 - 13*b + b**4 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 17557 = 5*j + 379545, 0 = 5*l - 5*j - 905015. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 10 - (9 - (-2 - 0))) + -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 5. Suppose 5*i = z + 5. Solve 20 = i*u - 5*b, -u - 16 = -6*u + 3*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 87*o**5\/5 + 961*o**2\/2 + 17*o - 6. Differentiate q(m) with respect to m.\nAnswer: 1044*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 62*r. Let b(g) = 97067*g. Determine w(b(j)).\nAnswer: -9422002489*j**2 + 6018154*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*l**2 - 8*l + 6 - 15 - 42*l**2 + 20*l.\nAnswer: -3*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1247.6 (b) 2 (c) -0.4 (d) 3 (e) 4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11310*i - 226134. What is v(-20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2012*n - 3243*n + 1934*n)*(3 - 3 + 2)*(-3 + 2 - 1) in the form t*n + q and give t.\nAnswer: -2812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 23\/26 (b) -0.5 (c) 173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a hour in seconds?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97537*k**3 + 48811*k**3 + 48818*k**3.\nAnswer: 92*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 4*v - v)*(-13 + 26 - 16)*(-3 + 0 + 1) as k + q*v and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 9:31 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20210201 (base 3) to base 15\nAnswer: -170a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 230\/24 - (-4 + 3) and 63\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 25 = -3*u - 3*u. Which is the smallest value? (a) u (b) 4 (c) 2\/13 (d) -3\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 2\/177 (c) 17 (d) -2\/135 (e) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.4 + -3.7. Let m = 18 + d. Which is the closest to m? (a) 1 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48236 - 48236. Let n = 18 - 9.9. Let u = n - 9. Which is the second smallest value? (a) 0.2 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.981799l to millilitres.\nAnswer: 3981.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4*7\/70)\/((-1)\/10). Let a be 8\/(-6)*(-6)\/4. Solve a*n - 2*l + 6 = n, -c*l + 12 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 10. Let k be b(3). Let g = -11 + 11. Sort 5, k, g.\nAnswer: k, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/7))**(-3\/4)*d**(1\/16)*d\/(d\/((d**(-6)*d)\/d)) assuming d is positive.\nAnswer: d**(-797\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/24 - 3*a**3\/2 + 84*a**2. Calculate n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55338.5555 to the nearest 100.\nAnswer: 55300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45576, 91320, 137064, 182808?\n\"Answer: 45744*q - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40639958 - 3?\nAnswer: -3.40639958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 155 - 3*m + 16*m + 152 - 466 - 2*m**2 + 158. Let s be (-4)\/10 + (-64)\/(-10). Let t be v(s). Solve -t*r + 5*b = 0, 2*r + 0 + 8 = -2*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 16*p**2 - 29*p + 32. Suppose 28 - 86 = 4*n + 2*a, 2*n = -3*a - 23. Is y(n) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 h, and 1 t when four letters picked without replacement from thhxhhztxzhhhhtxht.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*u + 29*u + 31*u + 28*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -16. Let q = -7 + u. Suppose -g = -q*g + 3*o - 24, 3*g = 2*o + 28. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) 0.4 (b) -2 (c) -2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/162*15 - (-24)\/54.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570452167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4896 and -89\/1210944.\nAnswer: 3632832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*t + 28330 = 3*k, 4*k = -3*t + 37764. What is the common denominator of ((k\/(-120))\/(-13))\/1 and 17\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (512*q - 510*q - 3 + 22)*(-q + q + 2*q**2) to the form y + o*q**2 + z*q**3 + r*q and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Let k(l) = -l**3 - 22*l**2 - 7*l + 8. Let o be k(-22). Suppose 18*j - o = -0*j. Solve 2*y + 11 - 1 = m*t, 3*t + j = -4*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -38*v + 120. Let h = 21736 - 21733. Determine m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 3204*c + 226176.\nAnswer: 3*(c + 76)*(c + 992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2953?\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -45*f**4 + 18*f. Let i(a) = -a**4 - a. Let x(c) = -i(c) - z(c). What is the second derivative of x(d) wrt d?\nAnswer: 552*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 84*m**3 + 1438*m**2 + 172*m + 42. What is c(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 65. Let y(k) = 45 + k + 1 - 6. Let x be y(-20). Let r be n(x). What is the highest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -3, 3, 0, -45 in descending order.\nAnswer: 40, 3, 0, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174 in -1, -7, 6, -0.5, -2\/5, -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.27134*-0.04\nAnswer: -0.0108536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*r*z**2 + 10210*r*z + 4147926*z**2 wrt r.\nAnswer: 48*z**2 + 10210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 - (-128)\/6. Suppose 5*x - 6*x + k = 0. Let o be (18\/x)\/((-1)\/(-7)). Solve 3*w = -o + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12546429 and 8\/19715817?\nAnswer: 138010719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcj when three letters picked without replacement from {c: 2, g: 3, o: 3, v: 5, j: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -54418\/9 at most as big as -6046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*g - 14, 3*u - 4*g = -u + 4. Suppose 0 = -q - u*q + 20. Let v(c) = c - 9. Let i be v(q). Does i = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2. Let b(m) = m**2 - m - 1. Let y(q) be the third derivative of -7*q**4\/12 - 7*q**3\/3 - 12*q**2. Let o(l) = 14*b(l) - y(l). Determine k(o(c)).\nAnswer: -392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 0.17. Which is the closest to -5? (a) p (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65342237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, f: 9}. Give prob of sequence rff.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29222*t**2 - t**3 - 29222*t**2 - 101.\nAnswer: -t**3 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put 797, 0, -3, -5 in increasing order.\nAnswer: -5, -3, 0, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1 - 2*n - n + 4*n. Let s be z(5). Solve 2 = -i + s, -2*h - 5*i + 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*v + 132, 0 = 6*v - 2*v - w - 117. Solve v = 7*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 640\/7. Suppose -5*i - 22 = -99*i - 210. What is the third biggest value in 1, i, j, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.5, 3\/4, -0.1, -0.09?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-5)\/15*-30 + -15 - -14347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16181 less than or equal to -16087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -0.2. Let d(i) = 78*i - 623. Suppose -34*k - 58 = -330. Let z be d(k). Put -4, t, 4\/5, z in decreasing order.\nAnswer: z, 4\/5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 124 = -3*m, -5*m + m - 8 = 0. Let a = x + -23. Suppose a*s - 622 = -4*z, -4*z - s - 460 = -7*z. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6 - (-5)\/20*6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 714, 2793, 6242, 11049, 17202, 24689?\nAnswer: 33498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l*w**5 + 2855*l*w**3 + 43*l + 3*w**4 - 4*w**2 - 30*w wrt w.\nAnswer: 120*l*w**2 + 17130*l + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7635.4 - 7635. What is the second biggest value in f, 5, -0.4, 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 3*n + 6. Let h be c(-4). Calculate the highest common divisor of 35 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 31 = 5*w - 76, -5*z + 47 = 3*w. What is the third smallest value in 1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74154181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3117*w**2 - 106*w - 89*w + 195*w in the form l*w + x + i*w**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 11819, 4, -58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + -2.9. Let h = 3.26 + 0.64. Let u = z + h. What is the nearest to u in -2\/13, -1, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -242 + 242. Solve x = 3*q - 2*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from lwbyluui?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1287339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 99633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -129. Suppose -h*m = -3*u + 11 - 29, 0 = 3*m + u - 2. Let s(t) = -36*t**2 + 33*t + 33. Let x(b) = -b**2 + b + 1. Give m*s(c) - 66*x(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*i**2*t + 8681*i**2 + 2*i*t - 2*i + 18*t - 2272 wrt i?\nAnswer: 162*t + 17362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 3*l + 5*l in the form d*l + i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*6 - sqrt(130))*-2)\/((-4*sqrt(90))\/sqrt(9)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*o**4 - 388*m**2*o**2 - 14*m**2*o - 5*m*o wrt o.\nAnswer: -36*m**2*o**2 - 776*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 = 2*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 6:59 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 37529499506635?\nAnswer: 37529499506638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/4 + 193*z**3\/4 - 1641*z**2 - 581463*z - 12854700 = 0.\nAnswer: -138, -25, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2416 divided by -28099\nAnswer: 2416\/28099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/1011490169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*p + 46*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19387 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 12. Suppose 0 = -3*t - 3*c - 12 + 51, t + q*c = 15. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqmqmm. What is prob of sequence mqm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 3. Let o be p(-2). Let f = 15060 + -15055. Solve -f*r = i + o, 4*r = r - 2*i - 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*(-210)\/(-7). Let x = 0 + h. Let z be 4\/3*9*7. Calculate the highest common factor of x and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1387 and 77307?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5121, -10560, -16009, -21474, -26961?\nAnswer: -32476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4205 greater than -4205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 91 = 43 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41662860401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.58 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**3 + 5*j**2 - 5*j. Let t(l) = 6*l**3 + 4*l**2 - 4*l. Let g = -120 - -116. Give g*o(h) + 5*t(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 278*i + 589. Let y be f(-2). What is the greatest common factor of 7359 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*j - 14. Let l(k) = -k**2 - 16*k - 2. Let p be l(j). What is the third biggest value in 0.05, p, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 443. Let q(g) = 1535*g. Determine q(t(u)).\nAnswer: -4605*u - 680005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(32) + -2*sqrt(512) + sqrt(32))**2.\nAnswer: 144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038 - -321975432?\nAnswer: 321975431.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.225 take away 168?\nAnswer: -165.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p\/p**(8\/11))\/p)\/p*p**(-12)*(p**(-6))**(-21\/2))**(4\/13) assuming p is positive.\nAnswer: p**(2212\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let r(v) be the second derivative of -11*v**4\/12 + 22*v - 2. What is z(r(g))?\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -51240825041.\nAnswer: -51240825033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/420 + y**6\/120 + y**5\/30 - y**4\/24 - y**3\/4 - 9*y**2. Solve p(x) = 0 for x.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55774475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2 = a + 3*q, -a - 5*q + 6 = 0. Let f(n) = -23*n - 10. Let d(u) = 2. Let i(l) = a*f(l) + 3*d(l). What is the derivative of i(g) wrt g?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245488 (base 9) in base 7?\nAnswer: 1155425","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 7762650 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -239, 3, 1\/4, 5, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7539975 divided by -75\nAnswer: -100533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 28 = -8*f. Let h be (1\/1 - -35) + (7 - 8). What is the highest common divisor of h and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -74, -66, -56, -44, -30?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 11*q**5\/6 - 133*q**3\/6 - 6*q**2 + 2*q. Find the first derivative of s(k) wrt k.\nAnswer: 220*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2373*y**2 + 2357*y**2 - 7 - 4782*y**2 + 3 - 34 to l*y**2 + x + g*y and give l.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(13) - (sqrt(13) - sqrt(13)*-2)) + -5)**2.\nAnswer: -462 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1849 + 1854. Solve -4*k - m*t + 36 = 0, 5*k + 4*t - 36 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**(1\/9)\/g)\/g))\/g)**(-23\/6) assuming g is positive.\nAnswer: g**(-92\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/5175 and 61\/9?\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - h - 1. Let x be n(3). Let z be 14\/2 - (6 - x). Suppose 4*o - 30 = 3*o. What is the highest common divisor of o and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g. Let q(i) = 2978 + i - 2978 - 4*i. Let w(d) = -2*m(d) - 2*q(d). Let a(v) = -2*v - 1. Determine a(w(y)).\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28040 and 236304296?\nAnswer: 5608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*g)*(6 - 18 - 60).\nAnswer: -216*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 = -2*h - 442, 222 = -h - 5*o. Let f = 254 + h. Calculate the lowest common multiple of f and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/90 and 89\/3870.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1131 = 19*z - 106*z. Let b(o) = o + 13. Let y(u) = 4 - 2 + 3 + 1. Calculate z*y(q) + 6*b(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -43. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264a70b (base 12) in base 14?\nAnswer: -100d511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13642*f - 132 = -13686*f. What is the nearest to -6 in -2, f, -5, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-69)\/(-2) - 151\/(-302). Solve -4*i + 11*i = -z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 588*z**2 - 16820*z + 45168.\nAnswer: 4*(z - 3)*(147*z - 3764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 582, 2217, 4910, 8655, 13446, 19277?\nAnswer: 26142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/24)\/8*(-6)\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310249.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 53.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24074318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14886397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1967 + -1642. Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2111 - -2121. Suppose 5*k = -5*p, -5*k - 11 = -4*p + 7. What is the smallest common multiple of p and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3044220000 to the nearest one million.\nAnswer: 3044000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -16*h**2 - h - 5. Let n be q(-2). Let d = -66 - n. Which is bigger: d or -13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 46 = -z + 61*s, 3*z + 10*s - 118 = 0 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -20*t + 39. Let r = 180 + -197. Is q(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i + 34. Let j be t(4). Factor -1\/2*l**j + 1\/2*l + 0.\nAnswer: -l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 + -0.1. Let a = -18.6 - -13.9. Let g = a + 6.7. Put g, q, -0.4 in descending order.\nAnswer: g, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/109))**(-12) assuming n is positive.\nAnswer: n**(24\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426e57 (base 15) to base 16.\nAnswer: -304078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 + 304. What is the closest to 0 in 4, 1\/2, 19, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - -58 - -2 - -32?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73219 (base 10) in base 6?\nAnswer: 1322551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - 2.57. Let i = j - -2.9. Which is the smallest value? (a) i (b) 7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.901869ml?\nAnswer: 0.006901869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05715 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*h)*(5*h - 5*h + h**2) - h**3 + h**3 + h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354d6 (base 16) to base 15.\nAnswer: 44a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 583 = -3*q - 1729, -2*m - q + 578 = 0. Suppose -140 = -5*h - 5*a, 0*h - h - 3*a + 20 = 0. What is the highest common factor of m and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793 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: Let c = -76.927 + 77. Round c to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7930 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 742\/42 - 15 - (-1074207)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28429\/4 or -7108?\nAnswer: -7108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/4 - 957*x**3\/2 + 241389*x**2\/4 - 58908*x - 119733 = 0. Calculate x.\nAnswer: -746, -1, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 533+-94\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 11 + 173 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**2 - 19*p - 200. Determine m(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9956 and 190.\nAnswer: 49780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 0.9.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 107, -5 in descending order.\nAnswer: 107, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*g = 1265892 - 1314954 for g.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 4550?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 13498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.555997663 rounded to 4 decimal places?\nAnswer: 0.556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10476 = 200*l + 6124 for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160446 divided by 33.\nAnswer: -4862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + ((-4)\/(-1))\/(-2). Suppose 88 = 4*u - 5*r, s*u + 5*r - 155 = -2*u. Solve 0 = -5*q + 4*h - 3*h - u, -h = 2*q + 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*g - 31 = 0, -3*h + 0*g - 3*g + 21 = 0. Suppose 33 = p + h*k, k = 4*k - 12. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -3, 2, 2759, 4 in ascending order.\nAnswer: -6, -3, -2, 2, 4, 2759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*x = 116*x + 2*w - 99868, 166415 = 5*x - 3*w. Is 259 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:53 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2362, 2369, 2376?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c = -4*a + 232, 0 = -a + 2. Let v(m) = 5*m + 14. Let j be v(10). Let s = j - c. What is the least common multiple of 2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2)*-1*1 - (sqrt(242)*2 - sqrt(242) - sqrt(242))) + 2)*-3.\nAnswer: -30 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(300))*-1 - sqrt(300)) + sqrt(300)*2*3)*5)**2 - (sqrt(30)\/(sqrt(10) + sqrt(40)\/sqrt(4))*-1 - (sqrt(162)*-1)\/sqrt(6))**2.\nAnswer: 479925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) + -1*sqrt(234)*-2)\/(-3*-1*sqrt(6)))\/(sqrt(24)\/(sqrt(40)\/sqrt(5)) + sqrt(18)\/(sqrt(18)\/sqrt(3))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.165 + 0.035. Let b = -4.2 - -3. Let t = 1.8 - b. What is the closest to -20 in t, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**16\/((j*(j**1\/j)\/j*j*j)\/j)**(3\/20) assuming j is positive.\nAnswer: j**(-323\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -6*w + 154. Suppose 15*y = w*y - 9. Solve -y*d = 2*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26409714197239 + -0.1.\nAnswer: -26409714197239.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210 + 23?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let g(a) be the second derivative of -a**3\/2 - 4*a. What is g(q(w))?\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373 - -398. Calculate the remainder when 197 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.3, 6, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1656 and 1104?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c - 6. What is n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.03 + -48. Let y = -3 + 0. Let q = -0.31 + 0.81. Sort y, q, m in ascending order.\nAnswer: y, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38331392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 196 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let w(c) be the second derivative of 0*c**2 - c - 2\/3*c**3 + 0. Calculate w(m(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 764280 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2673, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-9))\/(1\/9). Let u(d) = -4*d**3 + 2*d**2 + 2*d + 1. Let h(n) = 4*n**3 - 3*n**2 - 3*n. Let a(r) = q*u(r) + 2*h(r). Differentiate a(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -92. Suppose -j = 5*n - 189, 219 = j + n + b. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 52 = 3*b. Let o = -0.49 - -0.39. Let u = -18 - -16. What is the nearest to o in -10, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819 - 825 = 3*j, -4*n + 4*j = 260 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124.9 + -125.1. What is the nearest to -2\/31 in 0.4, -7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-261310.\nAnswer: 522620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988993358.\nAnswer: 2, 19, 613, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11 = 3*z + 3*x, 4*z + 3*x + 29 = 0. Let r be z\/6*(-81)\/18. Suppose r*l = 3*l - 3*q + 4608, 0 = 3*l - q - 4624. Round l to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -942*l**3 - 32030*l**2 + 15*l + 2829. Give u(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/4 + -1*1. Suppose 5*s + 3 - 18 = w. Solve 3*a - 8*a + 4*x = 25, -x = -s*a - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11111011?\nAnswer: -11111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*g + 8 - 0, -2*n = -5*g + 17. Let h be 1 - 1 - (-24)\/44. Let x = 2782.9 + -2783. Which is the nearest to x? (a) h (b) n (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2725374, -2725373, -2725372?\n\"Answer: i - 2725375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.6568 millilitres to litres.\nAnswer: 0.1196568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/209*(445\/(-20) - -8)*3*20?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/20 + y**4\/4 - y**3\/2 + y**2 + 6*y. Let r be f(2). Solve r*k + 0 - 1\/2*k**5 + 0*k**4 + 0*k**3 + 0*k**2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 29, 26, 21, 14, 5?\n\"Answer: -g**2 + 2*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 231184 = -7*w. Let d = -8252 - w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 27*g + 16 - 56*g.\nAnswer: -83*g + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(12\/56*(-420)\/(-1980)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 plus -82966.3?\nAnswer: -81871.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*g**3*r**4 + 143*g**3*r**2 - 2*g**3*r - 4*g**3 + 2*g**2*r**2 + 1989*g*r**5 - 7*g*r**2 wrt r?\nAnswer: 2064*g**3*r + 119340*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3 - (-21)\/6). Suppose y*q + 40 = 3*n - 3*q, 22 = 3*n + 4*q. Suppose 6 = -v + 3, 3*v + 9 = -j. Solve -24 = -4*u + 2*l - j*l, -5*l = 4*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 17*a - 28. Let b be s(10). What is the first derivative of -131 + 8*z - 420*z**2 + 454*z**b - 6*z wrt z?\nAnswer: 68*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13670.\nAnswer: 2, 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -125. Let c(r) = r**2 + 3*r + 1. Let q be c(d). Solve -3*z = 6, -q*w - 3*z - 14 = 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13*k**2 + 42*k + 179. Give v(-5).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 152801 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + -20 - 30) + (-3 - -1 - -7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77860436*t**3 + 1736664*t**2 + 12912*t + 32 = 0. Calculate t.\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -312, -314, -316?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:28 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**4 + 695154*t**3 - 131879*t**2 - 9 wrt t?\nAnswer: 24*t + 4170924","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 133 divided by -3\nAnswer: -133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7644 + -7566. Calculate the greatest common factor of t and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from {g: 4, j: 4, i: 7}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1358 or -1359?\nAnswer: -1359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -125 + 25. What is the remainder when q is divided by (2 + 0)\/(4\/34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 25 = -5*q, -447*q - 5 = -2*h - 444*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-44)\/(-12). Suppose -256 - g = -4*v. What is the highest common divisor of v and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7\/5, 0, 6, -4, -3092?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -687, -2758, -6191, -10968, -17071, -24482, -33183, -43156?\nAnswer: -54383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 26*m + 22. Determine j(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -26. What is the smallest value in -3\/7, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scfmmc. Give prob of sequence ms.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3211 and 163761.\nAnswer: 163761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-20))\/(28\/70) + (-7 - -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 314327 (base 11) to base 13\nAnswer: 148247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**4 + 3*a**3 + 4*a**2 - 8*a - 4. Let h(y) = y**2 - y - 1. Suppose 4 = 17*q - 13*q. Let t(p) = q*n(p) - 4*h(p). What is l in t(l) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/((-49)\/6134))\/(12\/(-42)).\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32437840 rounded to the nearest 100000?\nAnswer: -32400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i + 0*i**2 + 3\/2*i**4 + 3*i**3 - 3\/2.\nAnswer: 3*(i - 1)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12578, 108761, 369834, 878243, 1716434, 2966853, 4711946?\nAnswer: 7034159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5030 - 5028. Solve -5*h - 5 = -3*d, -5*d + k*h + 27 = 3*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22220607?\nAnswer: 3, 263, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.4 + 34. Let o = -24 - -20. Suppose 3*b + 1 = 4. Sort b, o, h in descending order.\nAnswer: b, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = 39*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10455*m + 2*m**3 - 5227*m - 5228*m - 16*m**2 + 16*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**2*x + 2*m**2 - 2*m*x - 193841*x - 5545426 wrt x.\nAnswer: 3*m**2 - 2*m - 193841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 353, 379, 425, 497, 601?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -8, -8, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 56 = -108. What is the remainder when h is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -2*o - 628. Calculate the least common multiple of 1210 and o.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 12:31 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 7*d**3 + 24*d**2 - 38*d**2.\nAnswer: 7*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002349163 rounded to 7 decimal places?\nAnswer: -0.0002349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) 0.244536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t + 1. Let c(n) = 48*n**4 - 6*n**2 + 5*n - 14. Let s(p) = c(p) + 6*j(p). What is the second derivative of s(o) wrt o?\nAnswer: 576*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50667876.\nAnswer: 2, 3, 7, 67021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p - 1. Suppose -2*q + 12 = q. Let m(y) = -2*y**2 + 5*y + 2. Let l(w) = q*m(w) + 9*c(w). Give l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5932, -11934, -17944, -23968, -30012, -36082?\n\"Answer: -g**3 + 2*g**2 - 6001*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/3 - 60.\nAnswer: 5*(w - 6)*(w + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080379041 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37 and 574795?\nAnswer: 574795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*c + 5*w + 1, -3*w = 4*c - 57. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -804?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Suppose 0 = 5*j - 2*o + 1 - 17, 3*j = 3*o + 15. Is 7 a factor of 0 - j - (-16)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 - 16*q**2 - 20*q**2 + 47*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 35. What is the closest to -2\/5 in -0.5, -3, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40316, -160611, -361096, -641765, -1002612, -1443631?\nAnswer: -1964816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7438 + 11453. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 2, h: 4, u: 2, o: 4}. Give prob of picking 1 e and 1 w.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 - -462. What is the second derivative of 170*b**2 - 20 - i*b + b + 19*b wrt b?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15266231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from zchzzhh?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22694 = -13*f + 65802. Which is smaller: 3314 or f?\nAnswer: 3314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 198 in -0.39, -2, -2\/1379?\nAnswer: -2\/1379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*v - 4, 5*h - 2*v = h. Let d = 4 + h. Solve 2*z = 4*c + 6*z + 16, d*z + 30 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 4*a - 9. Let b(u) = 2*u**2 - 7*u + 19. Let d(s) = -2*b(s) - 5*o(s). Let z be d(6). Solve 20 = 4*w, -2*h + h - z = -w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777.98 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009797928192 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11964692.\nAnswer: 2, 23, 130051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1093634781 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12926 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231\/29 - 1183\/174. Is -51 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8*h - 4)*(-3 + 2 - 1)*(-4 + 4 + 6).\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.97 - -10. Let y = w + -0.13. Suppose 0 = g - 1 - 1. Which is the biggest value? (a) -0.4 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187 - -189. Find the third derivative of 94*m**b - 28*m + 132*m**3 + 65*m - 37*m wrt m.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 - -14*1166\/(-371)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 81*i - 1182. What is d(24)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r + 4*p - 102, 5*r - 4*p - 138 = 0. Suppose 2*w - 4*w + r = 0. What is the remainder when 26 is divided by (6\/w)\/(2\/70)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*s + 95, 5*i + 2*s = 5*s + 502. What is the greatest common divisor of 303 and i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 161, 3, 4520 in decreasing order.\nAnswer: 4520, 161, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4555, -9109, -13659, -18205, -22747, -27285, -31819?\n\"Answer: 2*b**2 - 4560*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrr. Give prob of picking 1 s and 1 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**5 - 2*x**4 - 1218*x**3 + 14858*x**2.\nAnswer: 300*x**2 - 48*x - 7308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((15 + -9)\/(-24))\/((-6)\/80). Let y(g) = 9*g - 1. Let x(p) = p. Determine d*x(a) + 2*y(a).\nAnswer: 28*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/3 + 25. Let q(o) = 17*o**2. Determine q(k(y)).\nAnswer: 17*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -1\/9, 2\/9, -1\/8, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-12)\/3 + 0). Let i = 851359 - 8520563\/10. Let p = i + 698. Is h > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 98360?\nAnswer: 1180320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*r + 17, -r + 16*m + 22 = 20*m. Suppose -t + 4 + 4 = -z, -r*t - z + 25 = 0. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljssjsjpjljjnnr. Give prob of picking 1 n, 1 l, and 1 p.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - 32 - (2 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let t = 4 - 2. Let k be m(t). What are the prime factors of (-96)\/(-44) + k\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32963*a**6 + 31*a**2 - 2*a - 281 wrt a?\nAnswer: -3955560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*z**4 - 113*z**3 + 2139*z**2 + 2.\nAnswer: -912*z - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2 - 9*h**2 + 2. Let n(m) = -17*m. Let x(z) = 12*z. Let j(b) = -5*n(b) - 7*x(b). What is r(j(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(343) + 1)**2 + 5 - (4 + (sqrt(14)\/sqrt(2) + -1 - (sqrt(7) + -1 + 4))**2))*2.\nAnswer: 28*sqrt(7) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 177*u**2 + 142*u + 5986. What is v(176)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 415, 624, 835?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 20*u**3 + 2*u**2 - 5*u + 5. Suppose n = 4*b - 5, -2*b + 4*n + n = -25. Suppose b*a - 5*a - 5*h = -20, 0 = a - 3*h + 4. Is m(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 6.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3648*s - 8. Let l(r) = -r - 1. Let d(c) = 16*l(c) - w(c). Let t be ((-6)\/(-4))\/((-2)\/8). Let o be d(t). Round o to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/165 + -13\/55. What is the closest to u in -15, 0.2, 0.03, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 2*g**2 + 2*g + 2. Let q(i) = i - 17. Let d be q(19). What is c(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12258\/810 - 4\/30. Solve -z + 1 = q, -2*q - q + c = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 3. Let o(y) = -y**3 - 5*y**2 - y - 2. Let g be o(-5). Determine u(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1646 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**2 + 65*a - 33. Determine x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43185, 84371, 125557, 166743, 207929?\n\"Answer: 41186*k + 1999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0203? (a) -98.5 (b) 2 (c) -1\/3 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:37 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 8*u**2 + 2*u**2 + 2*u**2 - 7*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b - 5189 = -2*g, -5*g + 3*b + 12967 = 0. Let h = -20823\/8 + g. Find the common denominator of -19\/6 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1619 + 86*m**2 + 3241 - 1617 + 2*m**3 to the form c*m**3 + l*m**2 + f*m + t and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q**4 + (-2*q**4 - 2 + 2)*(2 - 3 - 1) + q**4 + q**4 + 2*q**4)*(-5*q - 20*q - 3*q).\nAnswer: -252*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7740 + -16430. Round q to the nearest one hundred.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-463 + 3*b + 929 - 465)*(0*b - 7*b - 3*b).\nAnswer: -30*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) 0.4 (d) 41101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1342*k + 193922. Determine z(145).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**5*y**2 - 452*a**4*y**3 + 3*a**2*y**3 - 19*a**2*y + a**2 + 2*a*y**3 wrt a?\nAnswer: -180*a**2*y**2 - 10848*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**2*t - 263*p**2 - 2*p*t - 1589*p + 2953773*t wrt p?\nAnswer: -4*p*t - 526*p - 2*t - 1589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 12*w = -392. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**6\/150 + 3*q**5\/100 - q**4\/20 + q**3\/30 + 3*q. Suppose t(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.651 + 0.451. What is the closest to 1 in o, -40, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 363 and 12804.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-2)\/4). Let d(l) = -3*l - 1. Let y(r) = -r**2 - 4*r - 4*r**2 - 2 - r**3 + 2*r**2. Let m be y(-2). Let c(j) = -j. Determine h*d(u) + m*c(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 0*o)*(-3*o**3 - 17*o**3 - 5*o**3)*((-214 - 21 + 11)*(1 - 1 - 2*o)*(2 + 0 + 0) - 3*o + 0*o - 4*o).\nAnswer: 22225*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 167 = 5*y. Let g be (120\/18)\/(-10) - y\/6. Solve -g = 3*x - 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**3 + t**2 - 9*t + 2. Let m be z(4). Let s = -545 - m. List the prime factors of s.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 greater than -512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**3 - o**2 + o + 1. Let b(y) = -y**3 + 7*y**2 + 5*y + 12. Let r be b(8). Let t = -13 - r. Calculate n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*h**3*o**3*s**2 - 2*h**3*o**2 - 16*h**2*o**2*s**3 - 38*h*o**3*s**3 - 9*o**2*s**3 - o**2*s**2 wrt o?\nAnswer: -60*h**3*s**2 - 228*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47936*z**2 - 504*z**3 - 47936*z**2 + 490*z**3.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and -101\/765319596.\nAnswer: 765319596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (2 + 11 + -5) - 13?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1227*l**3 + 4*l**2 - 499*l. Let g(n) = -2456*n**3 + 7*n**2 - 1000*n. Let u(v) = 7*d(v) - 4*g(v). Find the second derivative of u(q) wrt q.\nAnswer: 7410*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26960 and 880?\nAnswer: 296560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/r**(-3\/5)*r)\/r)\/r)\/r)\/(r*r*r**10)*r**8\/r**(-9) assuming r is positive.\nAnswer: r**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73490451 divided by -12?\nAnswer: -24496817\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*(-3*(-49)\/(-126))\/1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and -2623?\nAnswer: -1468.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1195964, -1195957, -1195950, -1195943?\n\"Answer: 7*q - 1195971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 6670 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76861068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -153?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {v: 1, q: 6, l: 3, c: 2, j: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 0*z**2 + 2*z**2 + (-4 + 5 - 3)*(-z**2 + 2*z**2 + 4*z**2) + 378*z - 378*z + 22*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - (-5 + 3 + 2 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.3 - 100.87. Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 0*q**4 + 3*q**2 - 2\/3*q**3 + 0 + 1\/120*q**6 + 1\/20*q**5. Factor d(h).\nAnswer: (h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -20069?\nAnswer: -65\/20069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 70?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2079)\/378*(-9)\/(-165).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3773548301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-18 + -3 + 1). Let o = s + 9. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18*t**3 + 27*t**2 + 1780*t - 1796. Determine a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*j + 131*j + 123*j + 148*j - 393*j.\nAnswer: 122*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 3:37 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(612*o - 613*o + 2*o**2 - o**4 - o**2).\nAnswer: -2*o**4 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j**2 - 14*j + 14*j. Let h(x) = -2*x**2. Calculate t(h(p)).\nAnswer: 100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86866682 to the power of 1\/2, to the nearest integer?\nAnswer: 9320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - 2*j**2 + 4. Suppose -3*z - 2*z - 15 = 0. Let g(q) = 4*q**3 + 3*q**2 - 5. Let a(o) = z*s(o) - 2*g(o). Differentiate a(u) with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u - 10951 = -141*u + 2851. Calculate the remainder when 305 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 52 - 33 - 134 = 0. Let o(j) = 7*j**2 - 2*j + 4. Let w be o(4). Suppose 0 = 5*c + g*p - 2*p - 180, w = 3*c + p. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12917121?\nAnswer: 3, 7, 615101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 16 = -5*v, 4*v + 8 - 1 = -5*u. What is the least common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.55 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 29*s**2 - 14 + 10*s + 12*s**3 - 13*s**2 - 17*s**2 - 13*s to i*s + v*s**2 + a*s**3 + d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 544909 or 544681?\nAnswer: 544681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851857 (base 9) to base 10.\nAnswer: 506626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let t(a) = 3*a + 0*a**g - 5*a**2 - 5 + 3*a**3 - 2*a**3. Give t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/276 and 139\/60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363815 or 363796?\nAnswer: 363796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b**2 + 5*b. Let h(u) = -7*u**2 + 4*u - 2. Let w(q) = -3*h(q) + 2*z(q). Determine w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2356 - 1626. Let n(q) = q**3 + 33*q**2 + 29*q - 94. Let m be n(-32). Is t - (6\/(-1))\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6050027.326 rounded to the nearest 1000?\nAnswer: 6050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2476 = 2*g + 2528, 0 = -k + 8*g + 163 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:27 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*1092\/728.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/6 + o**3\/3 - o**2. Let t(j) = -j. Let b(r) = -m(r) + 3*t(r). Suppose 9 = -q + 13. What is b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34468196*p*s**2 + 30883640*p - s**3 wrt s?\nAnswer: 68936392*p*s - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233207717.\nAnswer: 17, 3137, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5865*k. Let z(r) = 936*r**2. Calculate z(f(x)).\nAnswer: 32196738600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/((-6)\/(-9) - 1). Let w(t) = -26*t**2 + 3*t - 11. Let b(o) = 26*o**2 - 4*o + 12. Let m(d) = c*b(d) + 4*w(d). Differentiate m(z) wrt z.\nAnswer: -52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.52184 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+-0.21841\nAnswer: -0.20841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) -2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304025?\nAnswer: 5, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32088*-3.\nAnswer: 96264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**3 + 3*u**2 + 5*u + 1. Let j be (-246)\/(-123)*(-1)\/2*(-2)\/(-2). Calculate f(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) -1\/2 (c) 2\/5 (d) 1\/3 (e) 19 (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10641*m + 1712. What are the prime factors of j(-2)?\nAnswer: 2, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*z = -280. Suppose 175 = -5*y + z. Let q = y - -107. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -83*(16\/(-5))\/((-72)\/(-180)) - 8 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14504005*a**2*v**3 - 4*a**2*v - 483164*a*v**3 + 34*a wrt a?\nAnswer: 29008010*v**3 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 310?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1729104 by -204.\nAnswer: 8476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -1.893.\nAnswer: -1.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1190)\/120 + (-20)\/(-12))*(-16)\/60?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1345*b**5 - 983*b**4 + 44338568*b**2.\nAnswer: -80700*b**2 - 23592*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) 12.7 (b) -0.6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2197, 2195, 2193?\nAnswer: 2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*h = -3*t + 141*h + 155*h + 52, 5*h = 5*t - 95 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53, 74, 203, 334, 467, 602, 739?\n\"Answer: a**2 + 124*a - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -10 (c) 0.1 (d) -0.099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -300, -597, -890, -1179, -1464?\n\"Answer: 2*h**2 - 303*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1268, 1006, 8.\nAnswer: -1268, 8, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by (90\/(-9) + 9)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:17 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4209340 by 4.\nAnswer: -1052335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/18*(-1)\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-7\/5)*h*h*h**(-19))\/(h**30*h**(-2\/11)) assuming h is positive.\nAnswer: h**(-2388\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13131*a**2 + 48356*a**2 + 26875*a**2 + 24810*a**2 + 7563*a**2.\nAnswer: 120735*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(1*sqrt(162) + sqrt(162))**2)*1.\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -r - 1, 1 = r - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3300 and 73\/14024400.\nAnswer: 154268400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 118\/7, 2, 0.2, -1 in increasing order.\nAnswer: -1, 0.2, 2, 118\/7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o**2 - 2*o - 1. Let n be l(2). Suppose -3*q = -n*x + 60, 2*q + 3 = -1. Suppose -80 = 16*c - x*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251*j - 8512 = -643*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2*(-23)\/3*-12 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2846*x - 116541. Give o(-41).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - (-15 - -14). What is the closest to t in -1\/4, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 10:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-3))\/((4\/(-57))\/2). Are a and -266 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 423\/(-27)*(-6)\/18 + 4\/(-18). Solve -16*o + 17*o = -3*g - 10, 3*g + 40 = k*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 14*w - 13. Let p be m(-10). Let z = p + -25. What is the first derivative of 0 - z*a**4 + 5 - 1 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, g: 3}. Give prob of sequence ggpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 16 - 2*v**3 + 3 + 2*v**2 + 5 + 4*v**3 + 2*v as s*v**2 + q*v + d*v**4 + i + y*v**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = -14. Suppose -g*j + 654 = 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -153\/2, -2 in descending order.\nAnswer: 0.4, -2, -153\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 - 4. Let n(a) = -a - 11. Let s be n(-15). Let f(t) = -s*t - 982 + 982. Calculate f(q(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-20))\/(2\/(-96)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*n - 45, -3*n + 0*z + 30 = -3*z. Suppose 0 = -v - n*y, -2*y = 4*v + 3*y - 75. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59, -134, -207, -278, -347, -414?\n\"Answer: j**2 - 78*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646 = -6*q - 76. Suppose -3*f + p = 4*p - 303, 0 = -f + p + q. Let y = 549 - 535. What is the greatest common divisor of f and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-12 + 4) - 4) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 14. Let g be (-4)\/b + 16\/7. Solve 0*z - g*z = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*r = 904*r + 2415 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -216*t + 244*t - 5 - 8 wrt t.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 3:51 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1922, -2.4, -15, -2 in increasing order.\nAnswer: -1922, -15, -5, -2.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i + 4)*(-4 - 2*i**4 + 4) - i**5 + 5*i**5 - 5*i**5 + 0*i**5 + 0*i**5 - 3*i**5 - 2*i - 3*i**5 + 2*i + 2*i**5 + 5*i**4 + 0*i**5 - 3*i**5.\nAnswer: -6*i**5 + 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - r - 5. Suppose -2*p = 10, -3*p = -3*m - 7 + 34. Is k(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 24, 42, 68, 102, 144, 194?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3972 by -6.\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/b)\/b*b)**(-3\/22))**(-2\/7)*(b**(1\/3))**(-10\/3)*(b**(-1))**(-35) assuming b is positive.\nAnswer: b**(305\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002796 to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -6. Suppose -y*n - 32 = -2*j, n - 3 = -j + 18. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 548. Let q(s) = 5*s - 25. Let m be q(6). Suppose m*b - 185 = 5*f, 2*f + 0*f - 66 = -2*b. Calculate the remainder when x is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105033216 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3689, -7197, -10721, -14261, -17817, -21389, -24977?\n\"Answer: -8*j**2 - 3484*j - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:37 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1770462*r**3 + 3*r**2 + 10441368 wrt r.\nAnswer: 5311386*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 l when three letters picked without replacement from {r: 1, l: 2, w: 1, o: 1, p: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 937 = 931 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0595 - -3.6905. Let v = f + -3.88. Which is the fourth biggest value? (a) v (b) 1\/4 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(147) - ((sqrt(147)*-2 + sqrt(147) + -2 - sqrt(147))**2 - sqrt(147)) - sqrt(147) - (sqrt(147) + -4 + sqrt(147) + 3)**2).\nAnswer: -1186 - 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671038.\nAnswer: 2, 29, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-1)\/((-6)\/(-100)). Suppose -30 = 5*h - 8*h. What is the highest common divisor of u and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -7842914*s + 7842909*s + u, -4*s = -5*u - 291 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 156.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/(q\/(q*q**23\/q*q))))\/q)\/(q*q\/q**(-1\/4)*q))**(-1) assuming q is positive.\nAnswer: q**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1006?\nAnswer: -301.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -145*g**5\/4 + 5*g**4 + g**3\/3 + g + 48. Find the third derivative of n(p) wrt p.\nAnswer: -4350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -734, -1654, -2942?\nAnswer: -4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2227 + -2226. Are y and -5\/607 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-10)*2\/(-6). Let c = -643.44 - -4.44. Let r = c + 644. Sort b, r, -8, -2 in increasing order.\nAnswer: -8, -2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 27*r**3 - 36*r**2 + 372*r - 432 = 0. Calculate r.\nAnswer: -4, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-22 + 0\/3). Let a = 43 - n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213021033 (base 4) to base 9.\nAnswer: -263840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1654 - 9*b - 3*b - b - 1656 in the form k + z*b and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142.3 - 142. What is the nearest to -0.05 in p, 0.4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-39)\/(-12))*(-22)\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 31 - (-231 + 172)) + -28.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*v - 48 = 0, -4*y + 5*v + 324 - 261 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*q + 66, -24*q + 19*q - 82 = 3*c - c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4239 and 6507?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 8*n - 3*n**3 + (-n**2 + n**2 - 2*n**2)*(n + 3*n - 3*n) - 2*n**3 + 2 - 2 - 6*n**3 + n**3 + 9*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeyqyqj. Give prob of sequence yeq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 178201 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 14*z + 856. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86222.8ml?\nAnswer: 86.2228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -261006.87302271 and -4.\nAnswer: -261010.87302271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21004456 (base 7) to base 11.\nAnswer: -aa7098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Let p(u) = 0*u + 2*u + u + o*u. Let n(q) = -4*q. What is p(n(g))?\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*y + 42, 0 = -109*w + 111*w - 16. Let t be (-182)\/(-3) - 4\/6. Calculate the greatest common factor of y and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p. Let z(o) = -3*o**2 - o + 10. Let c(t) = -4*k(t) + z(t). Let h be c(8). Let j = 68 - h. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.45604 meters to millimeters.\nAnswer: 72456.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) - (4\/(-9))\/2. What is the tens digit of (46\/1)\/(u - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -63, -64, -65, -66, -67?\n\"Answer: -f - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**3 - 11*b + 11. Let l(g) = 2*g**3 - 4*g + 4. Let j(v) = 4*f(v) - 11*l(v). Let z(y) = y**3. Give -j(h) + 3*z(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17146 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -651 + 7474?\nAnswer: 6723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568756602 to the power of 1\/2, to the nearest integer?\nAnswer: 23849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*6*(sqrt(700) + 0 + 3 + (2 + sqrt(700) + sqrt(700))*-2))**2*-5.\nAnswer: -40831605 - 421200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -3 - -4) + 5 + -2. Let y = 85 + -60. Solve -v*j + y = -9*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 19*r**6\/6 + r**4\/6 - 2*r**3 + 104*r. Find the third derivative of x(l) wrt l.\nAnswer: 2280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffnciy. What is prob of sequence ny?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 569 or 582?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.189213 years in decades?\nAnswer: 0.5189213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31b6 (base 14) in base 4?\nAnswer: -2012030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y + 89993 = 91143 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5)*-1 + 5 + -1.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1710\/1453?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -45*w - 1. Suppose 0 = l - 5*v - 18, v + 29 + 62 = 4*l. Calculate the remainder when b(-2) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1048989441.00000044 - -1048989424. Let n = h + 17. Round n to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 5, t: 3, b: 2, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -291 - 39. Are d and -199\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvzc when four letters picked without replacement from {v: 1, z: 2, y: 4, c: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 4*l, -g - 2*l + 14 = 0. Let r be ((-4)\/20*-3)\/(2\/10). Suppose r*h = -4*t + g, -5*t + 3*h = 2*h - 5. Let y(x) = 7*x - 1. Determine y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/4))**25\/(t**(-17)*t**(-7)))**(1\/36) assuming t is positive.\nAnswer: t**(121\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 185596344889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 - 177*k + 138. Give f(-23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 11770 = -3*j - 11761, 0 = 3*t + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t - 1. Let n(w) = -7*w**2 - 2*w + 2. Let j(b) = -n(b) - 5*r(b). What is the hundreds digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z**2 - 1. Let x = 636 + -603. Let j(l) = 36*l**3 - 206*l**2 + 144*l - 39. Let t(p) = x*b(p) - 3*j(p). Factor t(q).\nAnswer: -3*(q - 7)*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*i = 3*i + 4, -3*w = 2*i - 6. Let l(v) = 2*v**3 - 35*v**2 - 22*v + 77. Let q be l(18). Solve -q*r - w*u + 6 = 0, -5*r + 3*u - 5 - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(5600) - sqrt(5600) - sqrt(5600))\/(sqrt(8) - (sqrt(8) - sqrt(24)\/(sqrt(6)\/sqrt(2)))).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjs when three letters picked without replacement from ddmhsjhjhjjdj.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 150836097 to the power of 1\/2, to the nearest integer?\nAnswer: 12282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -25*u - 12. Let n be q(-1). Suppose -6*o + n*o - 959 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301464 is divided by 43032?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 6*a + 6. Let q be p(6). Let c be ((-200)\/24)\/(1*2\/q). Let r = c - -27. Solve -r*b = -2*i + 8, 4*b = -5*i - b - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 7*o + 10. Let l be z(8). Suppose -l*i - 30 = 2*s - 7*s, 4*i + 16 = -s. What is c in -5 + 2*c**2 + 2 + 3 - s - 2*c = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/45)\/(3\/9) - (-46)\/3. What is the nearest to x in 1\/3, -0.1, -136?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448286?\nAnswer: 2, 19, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6098\/(-846)*(-5 - 39\/(-6)). Let i = q - -65\/6. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22086605657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 231308269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 252 = -272 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*s + 9. Suppose -3*i - 1 = 5*o - 5, 4*i = s*o - 14. Suppose -x + 1 + o = 0. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + j**2 + j + 1. Let a(y) = -3*y**3 - 10*y**2 - 4*y - 4. Calculate a(r) + 4*i(r).\nAnswer: r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*h**3*x**5 - 3*h**3*x**3 - 651*h**3 - h**2*x wrt x.\nAnswer: -2400*h**3*x**3 - 18*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 4*f + 4. Suppose h + 3*h - 2*o = 8, -h = 3*o + 12. Let u be d(h). Suppose -4*g = 2*l - 190, -u*g - l - 48 = -239. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4523*d**3 - 2374*d**3 - 2148*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, l: 3, s: 3, o: 2}. Give prob of picking 1 s and 1 l.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3834426 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0.03 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 31. Calculate the highest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -79, -110, -135, -154, -167?\n\"Answer: 3*s**2 - 46*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10023 (base 13) to base 16.\nAnswer: -6fae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3589 + 6356. What are the prime factors of q?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.119 - 0.119. Put 1, 1\/2, u, -1 in descending order.\nAnswer: u, 1, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -188\/3. What is the nearest to -7 in 5, -5\/2, z?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2. Let h(p) = 237*p - 4. Let w(f) = -707*f + 11. Let y(c) = -11*h(c) - 4*w(c). Determine d(y(x)).\nAnswer: -293046*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91933 by 1255.\nAnswer: -91933\/1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) -0.05 (d) -34 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54)\/(-12))\/(3\/8). Suppose -14*y + s*y = -188. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102? (a) 3.6 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/45)\/(16\/(-24))*154\/7.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(4 + h - 4) - 2*h + 2*h - 2*h - h + 0*h - h + 7*h - 3*h + 9*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537636 at least as big as 2537621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19444 + -0.004?\nAnswer: 19443.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3614 + -3614.0000427. What is q rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 213*q + q**4 - 2*q**2 + 212*q - 2*q**4 + 2*q**3 to t + r*q**4 + i*q + v*q**3 + d*q**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 r, and 1 j when four letters picked without replacement from djvlvvlrqddd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:36 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 4*q + 3. Let a be o(-4). Let l be (11 + -24)*1 - -109. Calculate the greatest common divisor of l and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-237*k - 2 + 121*k + 148*k)*(2*k**3 - 10*k**3 - 9*k**3).\nAnswer: -544*k**4 + 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (239 + -238)\/(3\/1). Put -0.2, -4, 2, 0.2, i in descending order.\nAnswer: 2, i, 0.2, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136687116?\nAnswer: 2, 3, 11390593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(-3)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d + 3*p + 6, -5*d + 4*p + 12 = 0. Suppose d*v = v - 34. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(6 - 1 - 3) + 2 - 4 + 3)*(-344 + 146 - 682)*(2*m**4 - 4*m**4 + 4*m**4).\nAnswer: -8800*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -740, 3, -3 in decreasing order.\nAnswer: 3, 2, -3, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44904.55 + -0.03442873.\nAnswer: -44904.58442873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/((-6248)\/(-1408)) - 498\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1202, 4835, 10890, 19367, 30266?\n\"Answer: 1211*n**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/425 and -10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 12*r - 5. Calculate the lowest common multiple of 8 and n(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 2873481964.62.\nAnswer: 2873481964.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = 3*j - 75. Let t(g) = g**2 - g - 2. Let p be t(3). Sort -4, j, p in decreasing order.\nAnswer: j, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252)*-1*1 + sqrt(252) - (sqrt(252) - (-1 + sqrt(252))*-3))**2 - ((sqrt(1792) - (1 + sqrt(1792)))*-3)**2.\nAnswer: -108*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9866304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26842*f + 13458*f + 13419*f.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 less than or equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986575548 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541 divided by -170744.\nAnswer: -541\/170744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-48))\/(669\/(-1316592))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:37 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q**2 - 14*q**2 - 41 + 5*q**2 + 12*q. Let m be i(-15). Solve 5 - 20 = -3*a - 3*h, 5*h = -m*a + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9402, 1694 in decreasing order.\nAnswer: 9402, 1694, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*g**2 + 6*g**2 - 8*g**2 + 3 + 1 with respect to g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21. Let w = -9 - -8.94. What is the second biggest value in w, x, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567146?\nAnswer: 2, 1283573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*v**5 + 31*v**4 - 2*v**3 - 16961*v**2 + 2*v wrt v?\nAnswer: 12900*v**2 + 744*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(-1\/4))))**(1\/33)*(y**(2\/3)\/y)**(-11\/4) assuming y is positive.\nAnswer: y**(31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 + 72. What are the prime factors of i(15)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-14) + 14\/49. Is f greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 12. Let q(t) = -13. Give 2*p(d) - 3*q(d).\nAnswer: 2*d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 16*j**2 + 5*j - 48. Determine p(-16).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 1\/24, -61, -3, -13\/16?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -7)\/((-4)\/6). What is the first derivative of -w + 13*t - 13*t + 5*t**2 wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -2. Let f(z) = -z**2 + 21*z - 22. Let m be f(c). Let n be m\/(-4)*-3*2 - 1. Let j(g) = g**2 + 6*g + 3. Determine j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from {g: 8, d: 5, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from eeebbbbbbebbbbboeb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -9193b?\nAnswer: 91934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 m when three letters picked without replacement from awyambmymbayawaaywmb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 9*x**2 + 12*x - 29. Let o be v(8). Solve o = 3*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + m + 0*m + (0*m + 2*m + 0*m)*(2 - 2 + 1 + (3 - 4 + 2)*(16 + 85 - 18)).\nAnswer: 167*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4782 + 0*d + 9591 - d + 4*d - 5300 as a*d + i and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - -764. Round s to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 7 + 23 - 46, -5*j = -7*i + 56 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let x(f) = 540*f**3 + 31*f**2. Let s(a) = -x(a) + 4*z(a). Find the third derivative of s(l) wrt l.\nAnswer: -3240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 5*n**3 + 2*n**3 + 25*n**2 to the form x*n**3 + a*n + p + t*n**2 and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 - 19*n**3 - n + 0*n + 18*n**3 + 5. What is the units digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-60)*84\/(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**2 - 77*g**2 - 249*g**2.\nAnswer: -374*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -38, -3, 1 in ascending order.\nAnswer: -38, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 6*m + 6. Let f be p(-6). Let h = f - 7. Let c(d) = -2*d + 3. Let z(i) = -1. Determine h*c(w) - 2*z(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.042 + -0.142. Which is the second biggest value? (a) v (b) -2\/13 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let m(x) be the first derivative of -x**5\/60 + 5*x**2\/2 - 1. Let t(s) be the second derivative of m(s). Give i(t(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 - 6*l + 2*l**2 - 10 - 2*l. Let y(t) = t**3 - 8*t**2 + 5*t + 34. Let g be y(6). Calculate v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 + 227. What is the hundreds digit of (-8144)\/(-36) + b\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1588200 rounded to the nearest ten thousand?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 19. Let k = c - 7. Let d(v) = -v + 7. Give d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*r, -5*q - 8 + 0 = -3*r. What is the units digit of q\/(8\/582)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.9 and 1.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-868)\/(-2604))\/((-1)\/78).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 22, 162.655, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 + 19.054.\nAnswer: -6.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75) + -2)**2*1.\nAnswer: -474 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -523765 divided by -445?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 - 174. Which is the nearest to 3\/4? (a) -0.2 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/30 + u**4\/4 + 599500*u**3\/3 + 60*u**2 - u. Let w be i(0). Round w to the nearest 10000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.2302 from -0.06.\nAnswer: -2.2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 - -6.35. What is the third biggest value in -5, 0.4, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q - f = -81*q + 5, -5 = 2*q + f. Let j(m) = -m**2 + 3*m + 6. Let v(p) = -2*p**2 + 7*p + 11. Let z(s) = -9*j(s) + 4*v(s). Calculate z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18657540 and 660?\nAnswer: 18657540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -49108, 4, -13, -2 in descending order.\nAnswer: 4, 2, -2, -13, -49108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 314333 times 0.05?\nAnswer: 15716.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 + 2.48. Let o = p - 0.7. Let v = o - 2. Which is the third biggest value? (a) 0.4 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20489418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -33*d - 31*d + 69*d. Let i(j) = 9*j. Calculate 6*i(s) - 11*n(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1472 (base 10) to base 3\nAnswer: 2000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*n - 15 = 0, 2*h + 43*n = 40*n + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.8 - 7. Let h = b + 17. What is the closest to -3 in 2\/9, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 21)\/((2\/6)\/((-616)\/(-462))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-6) - (-53)\/3 and ((-1)\/((-9)\/(-339)))\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 6*b**2 - 10*b**2 - 25*b**2.\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -737 - -1040. List the prime factors of h.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 34. What is the lowest common multiple of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 411\/718 - 5\/5026. Find c, given that 0 + w*c**2 + 2\/7*c + 2\/7*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 3*b**2 - b**3 + 2*b - 2*b - 3*b**3 + (-2 - 1 + 2)*(2*b**3 - 2*b**3 - b**3) as n*b**3 + i*b + k + z*b**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (0 - -2) + -2. Suppose -o - 20 = -h*o. Suppose 0 = o*a - j + 4*j + 35, -3*a = -j + 10. Is a != -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 80 + 429. Suppose 5*j = -129 + b. Let k = j + -33. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/5))\/(w\/(w\/(w\/(w\/w**6))))*(w\/(w*w\/(w\/(w*w*(w*w**(1\/2)*w*w)\/w))))**(1\/5))**8)**(-5\/2) assuming w is positive.\nAnswer: w**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388660.\nAnswer: 2, 5, 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d**3 + 9*d - 7*d**3 + 0*d + 15*d**3 + 9*d**2. Let h(l) = -5*l**3 - 2*l**2 - 2*l. Suppose 2*k - 5*k = m - 18, 2*k = 6. Calculate m*h(i) + 2*g(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1960 + -1963. Put -0.062, -2\/3, q, -9 in increasing order.\nAnswer: -9, q, -2\/3, -0.062","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**3 - 54*m**2 + 39*m - 9?\nAnswer: -24*m - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 1, e: 5}. Give prob of picking 1 d and 2 e.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -563.595 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7788 and 9204.\nAnswer: 101244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/4)\/7)\/((-11)\/(-110)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 0, 162.\nAnswer: -7, 0, 4, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053) + -1 - ((sqrt(104)*-1)\/sqrt(8))**2) + (sqrt(13) + sqrt(13) + -6*sqrt(52)\/sqrt(4))*-5.\nAnswer: -14 + 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5697? (a) -0.1 (b) -2\/9 (c) 0.2 (d) 1\/7 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -533*d**2\/2 + 2*d + 2013. Let s(m) = 2*m**2. What is s(i(y))?\nAnswer: 568178*y**2 - 4264*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-155)\/465*-17*6. Let t(j) = 10*j - 336. What is t(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 10) + (-23 - -36) - -32.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a5 (base 11) to base 16.\nAnswer: 43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36.6 - 37\nAnswer: -73.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 64*t - 194. What is r(-34)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3 - 5, -5*c = -5*j. Let q be (1\/(-2))\/(j\/6). What is the third biggest value in -2, q, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccccpcpccpcp. Give prob of sequence cpc.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71304147 by 23768049.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 7152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/10 and 36\/10175?\nAnswer: 20350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {z: 2, m: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-6)\/4)*-1. Let z = 22\/3 - 116\/15. Which is the closest to 1? (a) z (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/13, -0.5.\nAnswer: -2, -0.5, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/41, 4.5, -0.05836, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156860614 - -420.\nAnswer: -156860194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 20 = 0. Let a = -6 - t. Solve -a*k = -13 - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14601 is divided by 4864.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -139*v - 168. Determine m(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/39)\/((-9858)\/(-939796))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5455 - 43?\nAnswer: 5412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -1 (c) -0.09 (d) -54 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3590771, 7181568, 10772363, 14363156, 17953947, 21544736?\n\"Answer: -r**2 + 3590800*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.8 - -13. Let h = b + 3.8006. Round h to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -93. What is the smallest value in 6, i, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 14.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let y be (6 - 3) + 0\/(-4). Let i(l) = 7*l - l + y*l. Give f(i(p)).\nAnswer: 81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/12 + 5*p**2\/2 - 6*p - 7. Let d(o) be the first derivative of w(o). Calculate d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1122, 1119, 1116?\n\"Answer: -3*z + 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5277 + -2039. Suppose 3*w + 43 = 2*m, 0 = 7*m - 4*m + w - 92. What is the second derivative of -3238 + s - m*f + 34*f**2 wrt f?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 396*g + 7134 - 7136 + g**3 + 3*g**2 as c*g**3 + x + t*g + l*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 200227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k + 27. Let d(p) = 3*p - 9. Let j(s) = -7*d(s) - 2*l(s). Let y be j(7). Solve -24 = 4*h + 4*a, y*h + h + 4*a + 21 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 4*v + 3. Calculate n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1312 and -87\/40.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 4*q + 14)*(1 + 11 + 4*q**2 - 18).\nAnswer: -16*q**3 + 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 4585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322 - 64*s**2 - 321 - 326 + 65*s**2 + 969.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2 - 197424*r - 197421 = 0.\nAnswer: -65807, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -6, 824?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20956 is divided by 1723?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005036449 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + -9 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/720*((-19095)\/288)\/(-19) and 157\/336.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 146*v**2 + 1233*v + 208. Let w(p) = -7*p - 5. Calculate the remainder when k(-137) is divided by w(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -475348674 and -475348676 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6963 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 490 = -4*z, 29*z - 27*z = -q + 238. What is the highest common divisor of z and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5213591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 450907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 0*r**2 + 0*r**2)*(3122*r + 8898*r + 8714*r) as i*r**3 + o*r + j*r**2 + n and give i.\nAnswer: -20734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-69) + (-1113)\/(-1219). What is the nearest to -0.1 in -4, j, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178980*n**2*r - 2*n*r - 25149*n + 12*r - 2 wrt n.\nAnswer: 357960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -232079 (base 10) to base 7\nAnswer: -1654421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 292578?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303514132 - -1?\nAnswer: 303514133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -251593*v**4 + 23*v**2 + 10583565?\nAnswer: -1006372*v**3 + 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -21*p**3 - 4*p**2 - 2*p - 1. Let i(f) = -f**3 + f**2 + f. Let w(j) = 3*i(j) + q(j). Let l be w(1). Let t = -13 - l. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18804 is divided by 752.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 2*m. Let q be (-6)\/m + (0 - 8). Let k = -4 - q. What is the greatest common factor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 + 116 - 6*q**3 - 386.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 33, 96, 215, 408?\n\"Answer: 3*t**3 + t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10477 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2739 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 39. Let m = 11 - t. Find the second derivative of -10*k**3 - m*k + 5*k + 2*k**3 wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(2*sqrt(192) + 0 + -6*((sqrt(192) - (sqrt(192) + (sqrt(192) - (0 + sqrt(192) - sqrt(192))))) + sqrt(192)) + sqrt(192) + -3))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5 + 273*m**4 - 7257*m**3 + 45387*m**2.\nAnswer: -3*m**2*(m - 41)**2*(m - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x + 2*x - 4*x. Let o(d) = 1. Let n = 5 + -10. Let f(t) = 2*t - 5. Let p(y) = n*o(y) - f(y). What is j(p(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 314295, 628596, 942905, 1257222, 1571547?\n\"Answer: 4*q**2 + 314289*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -182709, -182707, -182705?\n\"Answer: 2*w - 182711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17820 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15619089?\nAnswer: 3, 5206363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -40. Calculate the remainder when (2\/((-4)\/86))\/(-1) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, 537, 3, -613 in increasing order.\nAnswer: -613, -3, -1, 1, 3, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/90 + d**3\/45 + 6*d. What is i in t(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21)**15*(t\/t**2)**(32\/5) assuming t is positive.\nAnswer: t**(1543\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 10 - 10)*(-11*y**3 + 7*y**4 - 5*y**3 + 18*y**3).\nAnswer: -21*y**5 - 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 8*r**2 + r + 12. Let p be c(-8). Suppose 4 = 4*z + p. Let q be (z + 0)\/((-8)\/(-4)) - 0. Is q less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x + 55*x = 3*g - 15, 5*g - 11 = -3*x. Sort 1, 170, x in descending order.\nAnswer: 170, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*i**3*z**3 - 2239938*i**3*z - 121461*i**2*z**3 - 5*i**2*z**2 - i*z**3 wrt z.\nAnswer: -372*i**3 - 728766*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + -5.8. Let u = 0.005584 - 7.009384. Let t = z - u. Round t to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398388 is divided by 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*m = 1218*m - 1930 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 t when three letters picked without replacement from lllnlett.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 10 + -1 - -24995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2910*f - 2906*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*(-4 - 10 - 1).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2895618*l**2 - l + 604125 wrt l.\nAnswer: 5791236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-1 + 0) - 8. Let j(o) = -53*o + 11. Let v(g) = -27*g + 6. Let y(w) = 4*j(w) - 7*v(w). Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -131. Sort -4\/5, -17, d, 2.\nAnswer: -17, d, -4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9470, 9435, 9400?\nAnswer: 9365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24062*v - 24067*v + 3 + 9. What is y(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 826288 by 4.\nAnswer: 206572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (0 - -1)*2. Let s(i) = -i. Suppose 9 + 23 = 8*z. Let a(p) = -7*p + 2. Let t(j) = -190*j + 55. Let w(v) = z*t(v) - 110*a(v). Give d*w(b) - 18*s(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7005161 to the nearest integer?\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(304) + (sqrt(19) + 0)*-3 + 0)**2 + ((-3 + sqrt(2299) + -1)**2 + -4)*6.\nAnswer: -528*sqrt(19) + 17075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + -6)) + 3 + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 89320 + 118214 + 275830. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 + 9*q. Let u(k) = -21*k. Give u(b(p)).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -302880*g**3 - 290479 wrt g?\nAnswer: -908640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 + 3?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2 + 8*i - 6. Let l(h) = -5*h**2 + 5*h - 4. Give 8*l(o) - 5*p(o).\nAnswer: -5*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 269481051 a multiple of 1467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 363618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/24250 - -15767\/109125. Let g = 406058\/81 - 5014. Calculate the common denominator of g and p.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/13, 0.14, -1, -27, 1\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 5*j + 5 = 32*o, 3*o + 4*j - 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -182*p + 32*p + 16500. What is the smallest common multiple of 160 and p?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))*-4 + sqrt(8) + 0 - (sqrt(8)*4 + sqrt(200)*-2))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 20 + 20.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000000001000 (base 2) in base 14?\nAnswer: -7676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 + -3.39. Let z = 3.2 + v. Let w = 304 - 3342\/11. Which is the smallest value? (a) z (b) -5 (c) w (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/15 - (-1)\/(-5). Let z(k) = -5*k + 2 - 5 - 2*k**3 + 7*k**2 + k**3. Let g be z(6). Which is the closest to p? (a) g (b) -0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3891*v**3 + 2*v + 3291?\nAnswer: 23346*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 12. Suppose 5*m - 3*m = s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518878697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 64*f**2 + 149*f - 95. List the prime factors of a(29).\nAnswer: 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208124?\nAnswer: 2, 3, 37, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11760 (base 8) to base 7\nAnswer: 20611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1056820154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10241179 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5516, 5523, 5520, 5501, 5460, 5391, 5288, 5145?\n\"Answer: -a**3 + a**2 + 11*a + 5505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979553713.\nAnswer: 979553713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4579 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1. Sort q, -4, 0.5 in ascending order.\nAnswer: -4, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 4. Give h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 - -2b28?\nAnswer: 2b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 13. Let m be b(-6). Let u = -6820.1 + 6822. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*o**3 + 38*o**2 - 38*o**2)*(-22 + 38*o - 22 + 44 + (1 - 2*o - 1)*(2 - 2 - 1)).\nAnswer: -3480*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1203 in decreasing order.\nAnswer: 1203, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 343*m**2 + 4*m - 351*m**2 + 48 - 5*m - 3*m**3 + 2*m**3. Let c be k(-7). Let w be (-4)\/(-6)*(c - 189\/14). Which is greater: -7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087710?\nAnswer: 2, 5, 23, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*m**2 + 5017*c**2*m - 17*c**2 - 11961*c*m**2 - 2*m**2 wrt c?\nAnswer: 4*m**2 + 10034*m - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*r + 15 = -17, 2*r + 10 = u. Suppose 0 = 2*v + 2*o - 5*o - 47, o = -1. Let w = v - 14. Calculate the lowest common multiple of u and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1499 + 0.31\nAnswer: 1499.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 4*i - 20, 5*c + 4*i = 70. Calculate the lowest common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let t = 95242 + -65371. Suppose g*n + 35804 = 3*d - t, d - 21905 = -n. Round d to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6 + 7*a + 3*a**2 + 3*a**2 - 14*a. Is i(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9391*u - 369. Let s(t) = -28174*t - 984. Calculate -8*a(f) + 3*s(f).\nAnswer: -9394*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/48 - 31*a**3\/24 + 3*a + 12. Let j(f) = 0. Calculate f.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:56 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + -7 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - 1) - (103 - 98)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let j(x) = -22 - 9 + 38 - 8. Calculate -5*j(r) - 3*o(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220 - -222. Let h(x) be the second derivative of 3*x + 3*x**3 + 2\/3*x**4 + 0 + 2*x**j. Solve h(o) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - r + 5*r - 76 = 0, -4*r = -4*c + 324. Suppose 264 = -8*p - 80. Let d = p + c. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 23. Let t be s(6). Is 2716\/t + -2 - 8\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95456655.\nAnswer: 3, 5, 7, 43291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 7. Let w be j(7). Let z(t) = t**3 + t**2 + t + 144. Does 48 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 1. Suppose -2*t = -t + 4, -x + t = -8. Let j(w) = 4*w**3 + w**4 - x*w**3 - w**3. Let z(g) = -2*j(g) - u(g). Differentiate z(a) wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6) - (-1376)\/96?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111.757 nanoseconds in seconds?\nAnswer: 0.000003111757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-14) - 1\/2. Let p(h) be the third derivative of h**6\/120 + h**5\/30 - 5*h**4\/24 - h**3\/3 + h**2. Let a be p(g). Solve -a*o + 0 = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 172\/2 + (-1 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 12:18 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.7789 micrometers to centimeters.\nAnswer: 0.02167789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.6, -1\/2, -4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3923137 is divided by 506?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.037 + -0.337. Let h = 4 + -4.1. Let y be (-9)\/(-4)*(-14)\/21. Sort h, -4\/3, y, p in descending order.\nAnswer: h, p, -4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -ddb?\nAnswer: ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5207916 is divided by 578655?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + a**4 + 3*a**4 + (0*a**3 + 4*a**3 - 3*a**3)*(-3*a - 5*a + 4*a) in the form i + k*a + p*a**3 + r*a**4 + h*a**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13073129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 10:37 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(12*(-14)\/(-85596))?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 29. Let s = -9 - 0. Let v be q(s). Solve 4*u + t = -18, 4*t - v*t - 12 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-101*m**2 + 65*m**2 - 47*m**2)*(-2*m - 2*m + 2*m)*(-3 + 3 + 2) in the form z + u*m**3 + p*m**2 + k*m and give u.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:57 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3508?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 112, 192, 282, 376, 468, 552, 622?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 + w - 21. Let a(q) = -2*q**2 - 5. Calculate 9*a(l) - 2*o(l).\nAnswer: -2*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 12) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 2:55 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d**3 - 2*d**2 + 1. Let i be 0 + 4 - (7 - 1). Let n be 5 - 2 - (6 + i). Determine f(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - -4.3. Let g be ((-3)\/48)\/(20\/6 + (-28)\/8). Let j = 1 + -1.3. Which is the third biggest value? (a) j (b) -3\/4 (c) g (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let l(i) = -2 - 2*i - 4*i**2 + 5*i + 5*i**2. Let q be l(-4). Let j(c) = 6*c - 6*c - q*c**2. Determine u(j(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1552 - 923. Suppose -25*r + 29*r - 5*u = 498, 5*r - 3*u - l = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2939132 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*j = 48, -d + 14 = 2*j - 3. Let x = d + -13. Solve -2*m - 4*w = -6*m - 12, x*m = -2*w - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 7*b**2 + 4*b + 3. Determine l(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-40) - 100\/200?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g - 14 = 32*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/17 + (-2091850)\/(-578)?\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*b**3 + 52*b**2 + 176*b + 48 = 0. What is b?\nAnswer: -1, -6\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqttqqqqttqqtq. What is prob of sequence tttq?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 289616729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**17*y*y**(-1\/12)\/y)\/(y**18\/y*(y**(-2\/15)*y)\/y))**(-5\/2) assuming y is positive.\nAnswer: y**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1274.9 - 1210. Let h = 64.964 + 0.036. Let m = h - n. Put -1, m, -23 in decreasing order.\nAnswer: m, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 13653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:46 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-771)\/1*(63\/(-27))\/7. Let r = a - 252. Solve 3*j = 9, -r*q + 5 = j + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6616, -4270, -15156, -26042, -36928, -47814?\n\"Answer: -10886*p + 17502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, 1 a, and 1 x when four letters picked without replacement from porxaxc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -15. Suppose -4*j + b = 2*t, t - 20 = -4*t - 5*j. Suppose 17 = 2*k + t*f - 8, f - 5 = 0. What is the highest common divisor of k and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/8, 36392, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from ezyzoizezozzqqe?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17a4 - 4?\nAnswer: -17a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 divided by 7?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 45 + 55 = 0. Let p be 2\/(-10) - 819996\/d. Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.95 + 0.05. Let x = 171.809 + -0.309. Let g = 171 - x. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15))\/(945\/(-1575))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199\/5 + -40. Is h at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 14*h - 10. Let j be s(4). Suppose 1468 = 72*l - 1844. Is j < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-215)\/(-5) - (-7*(-2)\/7)\/(-2). Solve 73*x = -29 - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 11*o - 14 = 7*s, 0 = 2*s + 5*o + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/23 - 32\/69. Let r = 0.9 + 4.1. Suppose 5*x = 4*m + 1, 2*m = -2*x - 0*m - 14. Which is the nearest to -1\/3? (a) o (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*(f**(-10\/7)*f)\/f*f*f*f\/(f*f*f**(2\/43))*f**(-4)*((f\/(f**10*f))\/f)\/f assuming f is positive.\nAnswer: f**(-4357\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*x + 40, 2*y - x - 38 = -5*x. Suppose 0 = a + 2*a + 96. Let i = y - a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21277\/385 + -612\/11. Let z = -2\/437 + 20116\/3059. Find the common denominator of p and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1643617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133 (base 6) in base 3?\nAnswer: -200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131019 - 65468 - 65548 - 8*o.\nAnswer: -8*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1835 divided by 1835\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 694648 < 694647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x**3 + 4*x**2 + 6*x - 10. Let f be v(1). Let z(l) = -l. Suppose -17 = 3*p + 10. Let k be z(p). Solve k*a + 5 = f*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1722301*m**2 + 10333807*m - 6 = 0?\nAnswer: 1\/1722301, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -22. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2*q**2 - 4*q**2)*(3*q - 4*q + 2*q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2*h - 1. Let m be v(1). Find the first derivative of 13 + 6*i - 20 - 4*i**m - 18 wrt i.\nAnswer: -8*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4 - 1517132*g + 203994 wrt g?\nAnswer: 8*g**3 - 1517132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(99) + (0 + sqrt(33)\/sqrt(3))**2.\nAnswer: 7 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -9. Suppose -4*x = -3*x - v. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 616309*j**5 - 22*j**2*p - 2461*j*p + 4051*p wrt j?\nAnswer: 12326180*j**3 - 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1740.19 - 1752. Let z = 12 + k. Let l = z + 1.81. Which is smaller: 0.3 or l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -101, -141, -141, -77, 75, 339, 739?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 - 3*x**2 - 3. Suppose 0 = 69*b + 27*b + 288. Let v(t) = -1 - 10*t + 11*t + t**3 - t - t**2. Calculate b*s(l) + 9*v(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106035 at least as big as 1106035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 3252456.\nAnswer: 3252455.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 39*q - 31. Let c be n(1). Suppose -c*j + 90 - 26 = 0. Solve -z + 0 - 4 = -f, -j = -3*f + 2*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3.9. Let l = -0.4 - i. Let k = l - 1.5. Which is the biggest value? (a) k (b) -1\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 506570593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 + 3*q - 2. Let s be t(1). Let g = s + 296. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56884.30764 rounded to the nearest 10?\nAnswer: -56880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2949 + -2945. Solve 5*u + 3*w = 7*w + 14, 0 = 4*u + 4*w - j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -u + 124*t - 125*t, 4*u + t + 23 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Let c be 39 - (-1 - k\/2). Suppose -2*n = g - 37, 0*g = 2*n + 2*g - c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -405 - -377. Let g be (1\/2 + 1078\/j)*-16. Is 608 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 1, h: 1, a: 4, z: 1}. What is prob of sequence azm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzz when four letters picked without replacement from {z: 4, l: 16}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:51 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23166, 23298, 23482, 23718, 24006, 24346, 24738?\n\"Answer: 26*h**2 + 54*h + 23086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.011 + -0.011. Let f = n + -34. Let t = -561\/4 + 141. Which is the closest to f? (a) 2 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255368, -510738, -766108, -1021478?\nAnswer: -1276848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 29 + 28 - 2*p + 0 + 0 + p + (-3 + 2 + 0)*(45*p - 294 + 294).\nAnswer: -46*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/16 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 14 = -4*o - j + 131, -3*o + 258 = -36*j for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -266315b (base 12) in base 3?\nAnswer: -112021212001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8317 - 8289. Calculate the least common multiple of 696 and o.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) 1\/5 (b) -2\/7 (c) 0.9 (d) 3 (e) -1405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*c**2 - 71615*c + 776270.\nAnswer: 5*(c - 11)*(19*c - 14114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -23*f + 1. Suppose 3*c - 3 = -12. Let a be g(c). Let i be (-8 + (-510)\/(-20))*16\/10. What is the greatest common factor of a and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/2 - h**2 - 4. Let r = -14 - -50. Calculate the remainder when r is divided by x(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-18))\/(1\/(-3))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -1, -3, 0.35, -0.3 in decreasing order.\nAnswer: 1.3, 0.35, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 2, k: 1}. What is prob of sequence kza?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 33*m - 38*m. What is the hundreds digit of 11\/(-2) + (-32)\/m - -288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + y + 1. Let k be 4\/(4\/2)*1. Let v be h(k). Suppose -2*w = s - v, w + 15 = -s + 2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 783*n**2 - 60638*n - 364. Give d(-71).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 47*l - 708. Calculate the remainder when j(41) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -37, -55?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u + 32*u = 2*o - 39*u + 113*u - 24, 8 = 2*u for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 5. Suppose 5*v - 15 = 0, -5*z = -4*v + 36 + 1. Let s(b) = 3*b + 6. Give z*s(l) + 6*k(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 29*t**2 - 111*t + 6. Let n be v(-5). Is n bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5616717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b. Let r(v) = v**2 - 5*v - 12. Let y be r(-2). Let f(k) = -13*k**y + 18*k**2 + 10*k**2. Determine d(f(l)).\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 - 1 = 0. Let t(l) be the first derivative of -l**4\/4 - l**3 - 3*l**2\/2 + 10*l - 4. What are the prime factors of t(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (3 - -1 - (6 + -9))) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1188 and 7\/14547951.\nAnswer: 58191804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*o + 4348 - 4348)*(-o + 3*o + 0*o) in the form w + k*o + u*o**2 and give u.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1348963 + 0.013\nAnswer: -0.1218963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 12*i. Let z be ((-1)\/(-4))\/(12\/192). Suppose -5*t - 4*h + 290 = i, 0*h - 243 = -z*t - h. Calculate the highest common divisor of 93 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7277 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/37 - -56\/333. Does w = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2600669 or 2600670?\nAnswer: 2600670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.34, 2.5, 0.5, -0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -19\/338, 23\/2?\nAnswer: -19\/338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3569.7106 + -5089.7.\nAnswer: -8659.4106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:44 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/70618 and -11\/24924.\nAnswer: 423708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 85. Suppose -4*p + x - 97 = 0. Is (-5904)\/p - 1\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 9 - 16. Factor -10*r + 0*r**3 + 0*r**4 + 0*r**4 + 10*r**3 + 5 - a*r**4.\nAnswer: -5*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -1\/4 (c) -5 (d) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -3, -64.6, -7\/4 in descending order.\nAnswer: -0.16, -7\/4, -3, -64.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618750452 to the power of 1\/3, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002121 - 101202102?\nAnswer: -12122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498525.\nAnswer: 5, 7, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 10*u + 6. Let i be t(-10). Let v(m) = -4*m**3 + 6*m**2 - 6*m - 6. Let w(k) = 8*k**2 + k**3 + 7*k**2 + 1 - 16*k**2 + k. Give i*w(x) + v(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19852, -25810, -31732, -37624, -43492, -49342, -55180?\nAnswer: -61012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 17, -21, -73, -139, -219?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 18 - 9)*(-2*l + 11*l - 4*l)*(-l**4 + 2*l**4 - 2*l**4).\nAnswer: -55*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -41 in increasing order.\nAnswer: -41, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xins when four letters picked without replacement from finnnswnsxsnnnnnnnn?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 2:14 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + -1 + 12)) + (60 - 63)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 - 7*f + 1. Let p be q(6). Suppose -4*k + 3*n = 271, 0*n - 2*n + 274 = -4*k. Let r = p + k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14543*d + 14567*d = -312 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4 - (-3 + 0)). Let m(q) be the third derivative of -q**2 + 0*q + 0*q**4 + 0*q**3 + 0*q**5 + 0 - 1\/40*q**6. Calculate m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 49*o + 143. What is k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -z - 3*o, 8*o = 4*o + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001120747651 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 4 - ((-2)\/7)\/((-11)\/154). Which is the third biggest value? (a) -0.3 (b) d (c) 130\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*p**3 + 13*p**3 - 62*p**3.\nAnswer: -273*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 5*t + 3*x - 61 - 245, 304 - 79 = 3*t - 15*x for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -0*j + 5*j. Calculate the smallest common multiple of j and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -133, -5 in decreasing order.\nAnswer: 1, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 54*w + 6 - 53*w + 6. Let a be b(-12). What is a rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 45*f + 300. Determine d(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644256.8 milligrams in micrograms?\nAnswer: 644256800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2190870 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157538.7 millimeters in micrometers?\nAnswer: 157538700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 0*g**2 + 1 - g**2 - 5*g**2 + 0*g**2 - 2*g. Let k be (0 - 0) + -2 + 3. What is m(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -2*x**5\/5 - 3*x**4\/2 + 4*x**2 - 7. Find w such that u(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + b6a3742?\nAnswer: b6a3746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*s + 30*s - 113*s)*(-3 + 4 + 0) + (3 - 3 - 2)*((3 - 5 + 1)*(0*s + 4*s - 2*s) - 2*s + 0 + 0 + 2*s + s - s) as y + q*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 154 + 2 - 14*v + 59 - 27*v to t + u*v and give t.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -0.4 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 2. Let z be h(-2). Suppose z + 2 = 4*n. Find the second derivative of -n*a**4 + 3*a + 0*a**4 - 2*a wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -j - 0 - 3, 105*j = 109*j - 7*c - 40 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -951*l + 972*l - 231. Solve 6*z - 9*z + 3 = 3*a, 0 = 5*z - 3*a + l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33133 is divided by 223?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-594))\/((-8)\/(-110)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -568 (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.281km in nanometers?\nAnswer: 37281000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1399089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - g - 1. Let d be x(-1). Suppose d*w - 3 = 3*w. Suppose -3*m + 12 = -w. Solve c + 2*c + m*q + 18 = 0, -5*c - 5*q = 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250\/7, -0.2, -2\/9, -106.\nAnswer: -106, -250\/7, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 628 + -1146. Let w = c + 518.00259. What is w rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 337894 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g - 13480 - 8*g**3 - 13487 + 26965.\nAnswer: -8*g**3 + 47*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/8 and -15\/1552.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*x - 104 + 276 = 0, -2*c - 3*x = -109. Differentiate -100*p + 5 - 6 + 58*p + c*p with respect to p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 30798.\nAnswer: -23\/15399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 11}. What is prob of sequence uucc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.144 * -34.\nAnswer: 4.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 201, 8\/5 in increasing order.\nAnswer: -2\/7, 8\/5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h = 185. What are the prime factors of h?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(26)\/sqrt(2) + sqrt(13) + 4.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-20)\/(-48)*(-387)\/215?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpfgggcf. Give prob of picking 2 f and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570 and 29982?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(2*p + 9 - 9)*(p + 6*p**4 - 3*p**4 - 2*p).\nAnswer: 6*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -412 - 215. Suppose 6*d = 4*d + 38. Calculate the highest common divisor of a and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15)*(a\/(a*a**(3\/8))*a)\/a)\/((a**(-1)*a)\/(a**(2\/7)\/a*a))*(a**(-1\/2)\/(a\/((a**1*a)\/a)))**(-3\/23) assuming a is positive.\nAnswer: a**(2111\/19320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(1 - 2 + 0) + 5 - 6 + 3 - 2 + 4 + 0)*(-2*o**5 - 2*o**5 + 2*o**5).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 61, 44, 9, -50, -139?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 133 = -3*b, 0*b + 200 = 5*b - i. Suppose 46*h = b*h + 60. Solve -h = -3*f + 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.14. Let j = 3.04 + f. Let d = -27 - -27. Which is the nearest to d? (a) -0.3 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -7, -49, -4?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f**2 + (3 + f - 3)*(2*f - 1 + 1) + 1 - 2*f**2 - 1)*(f + 7*f - 2*f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 22*k**2 - 4*k - 5. Suppose -x + 5 = 2. What is the units digit of q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 6, 3, -4, -111 in descending order.\nAnswer: 6, 4, 3, -2, -4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 8) to base 10\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2020871 - 3?\nAnswer: 2020868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 875187, 875190, 875193, 875196, 875199?\n\"Answer: 3*k + 875184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - -109 - -122 - 95?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4884 and 1129063584.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 96, 118, 158, 222, 316?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -2 + (-4619)\/(-616). Let o = -106\/77 - v. Let m = -1496 - -14921\/10. Find the common denominator of o and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-20) - (-2)\/10. Let m = -1\/459 - 376\/38097. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from rrxrrrrrrrrxrrrr.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -778\/13, -2, -0.3, -2\/5, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 5, 1\/5, -44\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/5 of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 + 36 = -4*s. Find the third derivative of 9*m**4 - s*m**2 + 72*m**2 - 36*m**4 wrt m.\nAnswer: -648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 13*t**2 - t - 52. Give s(13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f - -eef6?\nAnswer: ee57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7369, 14741, 22113?\nAnswer: 29485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 101, 95, 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*v**2 - 817*v**2 + 49160*v**3 - 14642*v**3.\nAnswer: 34518*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a factor of 662974767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0198, -15.6, 5, -0.4 in increasing order.\nAnswer: -15.6, -0.4, 0.0198, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 435 - 306. Suppose 3*o = -5*s - g - 273, 159 = -2*s - 3*o. Let j = 87 + s. 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 (-w**4 - w**4 + w**4)*(-5*w + 2*w + 4*w) - 12344*w - 2*w**4 + 89*w**5 + 12344*w.\nAnswer: 88*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/48 - ((-15042)\/72)\/23 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 137, 213, 323, 479, 693, 977, 1343?\nAnswer: 1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 - -277. What is the highest common factor of 175 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v + 27. Is o(9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 15 - (26 + (14 - (37 + -16)) - -49).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 578*a**3 + 9*a**2 - 3*a + 11. Let f(k) = 866*k**3 + 15*k**2 - 5*k + 18. Determine -5*f(d) + 8*z(d).\nAnswer: 294*d**3 - 3*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyuyyuy.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 3*y**2 - 22*y**2 - 8 + 12*y**2 - 293*y**2.\nAnswer: 3*y**3 - 300*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13132, 26274, 39416, 52558, 65700, 78842?\n\"Answer: 13142*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12476?\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/2 - 5*y**3\/3 - 8*y. Find the second derivative of s(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17955*i - 17967*i + 35923*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000805337 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -56, -0.4, 72, 1\/4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 43*o**2 + 23)*(4*o - o - o) + (-o**3 + o**3 + o**3)*(6 - 2 + 4) to the form n*o**2 + t*o + z + c*o**3 and give c.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3934.54294 rounded to the nearest ten?\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48 + -47 + (3 - (3 - 1)). Suppose 3*c + 9 = -5*h + 68, 2*h = 8. Let p = c - -12. Solve 2*f - 5*z - 23 = 0, -d*z + 5*z = 4*f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 2*t = 40*i - 11, -11*i = -2*t + 71 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(242)*2)**2.\nAnswer: 78408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57133 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -0.22, -2 in increasing order.\nAnswer: -2, -0.22, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 4\/12*6. Suppose 3*a - 2 = 4*a, 2*v - j*a = 0. Is v < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 + 257*p**3 - 16102*p**2 + 116736*p - 225504 = 0.\nAnswer: 4, 87, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 6:17 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4 + (-2)\/4. Suppose -u*x + x = -3. Find the first derivative of 0 + 4*l**4 + 2 - 1 - x*l**4 wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 - 4*t**4\/3 + t**3\/2 - 10*t**2 - t. Calculate the lowest common multiple of 108 and k(33).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c - 122. Let t be l(-14). Let d = 364 + t. Solve d*r = 2*n - 14, r - 5*n + 0 = -17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 1. Let x(b) = -5*b + 1. Let p = -9 - -13. Suppose 2*c = -0*s - 5*s + 25, 0 = -4*s - p*c + 20. Let h(l) = s*y(l) - 6*x(l). Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19320754.\nAnswer: 2, 9660377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948.3574 rounded to the nearest integer?\nAnswer: -3948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/30 - (-61)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 36. Let d be u(17). Find the third derivative of 14*o**4 + 5*o**2 + 5*o**d + o**2 + 7*o**2 wrt o.\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**3 + 6*b**2 - 86*b + 13. Is v(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 1072*n + 185529. Give p(-217).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 1. Let k(f) = 15*f**3 - 2*f**2 + 2*f - 1. What are the prime factors of k(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 57. Let x = p - -23. Suppose 368 - 1124 = x*o. What is o rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c. Let z(r) be the second derivative of -3*r**3\/2 + 2*r. Determine -7*x(p) + 3*z(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -0.36552595.\nAnswer: -4.36552595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 - 4*m**2 - 6*m + 28. Calculate the remainder when 654 is divided by t(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8908 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4648 and 3220532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/13, -44, -2 in decreasing order.\nAnswer: 4, 2\/13, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -614 (b) 5 (c) -3 (d) -1\/2 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0366942 * 9\nAnswer: 0.3302478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/6, 4, 2\/5, -3, 3, 4\/9 in decreasing order.\nAnswer: 4, 3, 4\/9, 2\/5, -11\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:13 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 319, 747, 1315, 2029?\n\"Answer: q**3 + 61*q**2 + 104*q - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 936504 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-10)*p)\/p**(4\/5))**(20\/7) assuming p is positive.\nAnswer: p**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-13)\/5 + 1088\/2080. What is the second biggest value in s, -0.356, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6541)\/341 + (-304)\/(-16) + 431\/11\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22124.58 litres?\nAnswer: 22124580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 4*l + 4*l + (-3*l + 8*l - 3*l)*(0 + 0 + l) + 4*l**2 + l**2 - 3*l**2 + 1 - 10*l**2 + 9*l**2 - 5 as n + z*l**2 + o*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2496 - -2493. Is n greater than or equal to -0.0182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-75)\/21 + (-4)\/(-7))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1969542861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444311444 (base 5) in base 6?\nAnswer: 105425205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*s - 1527 = 0, j + 2*j - 4*s - 4645 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/12 + y**3\/6 + 4*y**2 - 25*y. Let p be v(0). Suppose 22 + 34 = p*s. Let b(x) = x - 10. Determine b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723707412 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -60 (b) 0.08 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-4 + -1 + sqrt(98))*5 + 3 + sqrt(242)*-1 + -5)*-1)**2.\nAnswer: -5184*sqrt(2) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 962732.9 decades in centuries?\nAnswer: 96273.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*q)\/(q\/(((q*q**(6\/5)*q)\/q)\/q))*(q*q**(1\/3))\/(q**(3\/8)*q))\/((q**(-8)*q**(2\/15)\/q)\/(q**(-2\/9))**(33\/4)) assuming q is positive.\nAnswer: q**(923\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 40206*n - 201105 = 0. Calculate n.\nAnswer: -13407, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iww when three letters picked without replacement from {k: 1, w: 5, i: 7, j: 6}?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 278502*c**2 + 9748761*c + 9470258.\nAnswer: -(c - 278537)*(c + 1)*(c + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -2\/5877, -10, 126, 2\/13?\nAnswer: -2\/5877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x = -134*x - 1653 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56 + 16*y + 457 + 0*y**2 + 8*y**2 + 4*y**2 wrt y.\nAnswer: 24*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5377 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6642627 to the power of 1\/2, to the nearest integer?\nAnswer: 2577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**17*k)\/(k\/(k**(-8)\/k)))**(-3\/41))**(-34))**31 assuming k is positive.\nAnswer: k**(25296\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.11 (b) 43.6 (c) -29 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + (-18 - (593 + 3)). Let o(p) = 8910*p**3 + 605*p**2 - 605*p + 605. Let a(v) = -59*v**3 - 4*v**2 + 4*v - 4. Give h*a(z) - 4*o(z).\nAnswer: 55*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -0.2.\nAnswer: -2, -0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 35. Suppose h - 105 = 6*h. Let g = h - u. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - b + 27. What is s(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, 4, -210, -2, 32 in decreasing order.\nAnswer: 32, 4, 3, 2, -2, -3, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1 (c) 0.5 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:30 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 28078*i - 184. Let h be y(25). Suppose -48*p - 90102 = -h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -153. Suppose -176 = t*u - 2276. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56598 divided by -3.\nAnswer: -18866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2. Let u(b) = 777602*b. Determine u(z(f)).\nAnswer: 6998418*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + r**2 - 1. Let h(k) = 5*k + 5*k**3 - 7*k - 3*k**2 + 2*k. Determine -h(n) - 3*p(n).\nAnswer: -2*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3584.76 - 3653. Let x = 59.2405 + t. Let q = -9 - x. What is q rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3\/2, 0.1, -207, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9282013)\/91 + (-2)\/(-14). What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3398 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38328054 divided by 1\nAnswer: -38328054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.352 - 0.052. Let r = -0.5 - z. Let v = -21.6 + r. Round v to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37048746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q**2 + 33207*q - 2214 = 0. What is q?\nAnswer: -738, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 678, 1358, 2036, 2712, 3386, 4058?\n\"Answer: -z**2 + 683*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/540 - y**5\/135 - y**4\/108 + 5*y**2. Factor q(n).\nAnswer: -2*n*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + k = -1, -2*c + 14 = -k - 3*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 11\/6*c**3 + 1\/120*c**6 - 20*c**2 + 0 - 1\/12*c**5 + 1\/4*c**4 + 0*c. Calculate the remainder when o(6) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47545\/16 - 2974. What is the common denominator of s and -1\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91*92\/25116*1*69?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27371*j = -27471*j - 1268 - 2232 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 h when three letters picked without replacement from hhvhhlvhvhhxkvhl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 66*z**2 + 140*z - 736. Let c be w(64). Factor 8*f + 1\/2*f**2 + c.\nAnswer: (f + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7385 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7423340974 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2.6572?\nAnswer: 10.6288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 2639847041.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/9 - 8362*x\/9 - 5572\/3 = 0.\nAnswer: -4179, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.566771 rounded to 1 dp?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {j: 1, t: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 610 and 2992090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/1)\/(1\/(-1)). Let z be 25\/(t - 20\/(-6)). Suppose o + 4*o = z. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142994 - 142992 + b**4 - 738*b**3 - 383*b**3 - 1707*b**2 wrt b.\nAnswer: 24*b - 6726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6508*s - 2356*s - 3105*s + 406946 = 0 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -10. Put -3\/2, w, -5\/2 in ascending order.\nAnswer: -5\/2, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 11 - (2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55833407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 749182704 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222012 + 1002120?\nAnswer: 10001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, a: 2, y: 1, s: 2}. What is prob of sequence vn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -4*w. Let k be (12\/18)\/(4\/18). Suppose -c - 55 = -k*r, 4*r - 68 = 4*c - 8. Solve -3*h - w*h = -r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j**2 + 4*j + 1. Let s be d(-1). Let v(h) = 7 - 18 - h**2 + 12*h + h**2 - h**2. Calculate v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242.459 + 242.4. Which is smaller: -4\/7 or v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10273702 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1032*a**3 + 16*a**2 - 16*a**2 + 1034*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.6259473 or 0.4?\nAnswer: 4.6259473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1971 - -163f?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 104. Solve 2*t - t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-12)\/(-96))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9365732393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.626 and -0.1.\nAnswer: 3.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -21*y - 130. Let g be u(-5). Let b = 0 - 2. Let m be g\/5 - -2 - b. What is the second biggest value in -1\/7, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18905 and 124375.\nAnswer: 2363125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 (base 8) in base 13?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 353453.0342 to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1813825 is divided by 44226?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 0 + 0 + v + 74*v**3.\nAnswer: 74*v**3 - 13*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*i = -12, -1878*i = -a - 1883*i - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*v - 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 53\/5 of a microsecond?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4) - -2)*6. Let x(s) = 13*s - 2. Let r(v) = 16*v - 1. Let k(c) = 4*r(c) - 5*x(c). Give k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8251.21 take away 17759233?\nAnswer: -17767484.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/54*(-23)\/(-2829)*-6*1*3?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006251103 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4217 - 8847. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2675 * 2\nAnswer: -5350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33 and -31\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31853*s**3 + 16412*s**3 + 16564*s**3.\nAnswer: 1123*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 128. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d + 2. Calculate k(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -121615?\nAnswer: -121625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:28 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + 3*x**2 + 5*x. Let m(t) = t**3 - 8*t**2 + 6*t + 5. Let u be m(7). What are the prime factors of d(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 3. Let i be (2 + -1)\/(4\/(-12)). Let a be w(i). Suppose 115*o = 112*o + a. Solve -2*r = o*l, -5*r - 8 = -0*r + 2*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 8 - (21 - 10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 3160\/36 - (-4)\/(-18). Let i be (-6)\/(-4)*56\/u. Let h = -205\/28 - -31\/4. What is the third biggest value in 0.01, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41\/102 + 4\/17. Let q = -1 + 1. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476937644.\nAnswer: 2, 383, 419, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011100 (base 2) to base 16.\nAnswer: 71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 147*k - 1903. Let a be g(13). Solve -5*r - 1 = 3*s - 11, -3*r + s - a = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 28. Suppose 1905 = -i*m + 12*m. Is (m - 4) + -3 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 2*q - 12. Let j be a(3). Let l be ((-4)\/j)\/((-15)\/45). Which is smaller: 349 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 + b - 19. What is q(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264034741.\nAnswer: 264034741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15792.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)\/(x\/x**(-5\/2)*x))\/(x**(2\/3))**(2\/65))**42 assuming x is positive.\nAnswer: x**(-38843\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -1\/3*a**3 - 3 - a - 3*a**2. Let l be n(-6). What is the closest to l in 0.1, -3, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2363669969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.0346?\nAnswer: 0.0346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 11*a - 159. Put -1, -5, -3, a in ascending order.\nAnswer: -5, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x + x)*(355 - 91 - 190)*(-3*x**2 + 8*x**2 + 2*x**2).\nAnswer: -518*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 3, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f, 0 = j - 3*j - 5*f. Suppose -16*y + 13*y + 27 = j. Solve 6 = -3*r - 3*h, y = -2*r - h - 2*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94521.967 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15 and 49\/435340.\nAnswer: 1306020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 3*u**2 + 8*u + 1. Let o be k(-3). What is the first derivative of 61*w**3 + 9 + o + 21 + 8 wrt w?\nAnswer: 183*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -1\/15*h**5 + 4*h**2 + 0 + 1\/6*h**4 + 2\/3*h**3 + 0*h - 1\/120*h**6. Is 9 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120102002 - -1101110101?\nAnswer: 1221212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2733 or -27327\/10?\nAnswer: -27327\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8334*(2\/7)\/(4\/56*6) is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-15))\/((-1)\/(-3)). Let w = 2 + g. Factor w*m**2 + m - 2*m**3 + m**2 + 0*m.\nAnswer: -m*(m - 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201121120 + 12002?\nAnswer: 21201210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 992076?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 6*a + 10. Let c be q(-4). Let l be 2 + 1*8 - -2. Suppose p - 3 = u, 2*u - u - l = -4*p. Solve 6 = 4*v - 2*d + c, -2*v - 14 = p*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 70, 4*s - 2 = -2*u + 3*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1613*s + 1382*s - 682*s - 2942*s - 2373*s.\nAnswer: -6228*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(1155\/(-56)))\/((-2)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37728 and 23958?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(2\/9)*a\/a**(1\/6)*a*(a\/(a\/(a**(6\/5)*a*a)*a*a*a*a))\/(a*a*a*a**1)*(a\/(a**(5\/3)\/a))\/(a**(2\/9)\/a*a)*(a**(-1))**(-35) assuming a is positive.\nAnswer: a**(2963\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -28. Let m(f) = f**3 + 6*f**2 - 6*f - 3. Let c be m(-5). Let j = 100 - c. What is the greatest common factor of j and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 take away -1.69?\nAnswer: -49.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 74, 4 in ascending order.\nAnswer: -2, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2526, 5063, 7602, 10143, 12686, 15231, 17778?\n\"Answer: c**2 + 2534*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 3 + 0)*1. Let r be (2 - (3 + w))\/1. Solve 9 = -r*p + 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940953010012 less than -0.19?\nAnswer: -1940953010012.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.862043ml to litres.\nAnswer: 0.006862043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 867*f*i**2*x*z + f*i**2 + 1623*f*x*z - 4*i**2 with respect to i.\nAnswer: 1734*f*i*x*z + 2*f*i - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-76) + (-7955)\/(-133874) + (40 + -18)\/572?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13503, 90, 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Suppose 5*v + 3 - 16 = -3*p, 5 = p + 2*v. Let i(m) = -2*m**2 + 1. Let c be i(-1). Put p, c, u in ascending order.\nAnswer: c, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 106. Which is the nearest to 1? (a) -2\/9 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -5, -8.7, 3\/8?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3)\/(-13 + 2). Let v = -331.965664 - 0.044336. Let o = -332 - v. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(112)*1)**2 + -3 + (-1*sqrt(112) + sqrt(112))**2.\nAnswer: -40*sqrt(7) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 99 = -5*w + 62, -w = f - 33. Let l = -12 + 19. Suppose 3*k + l - w = 0. Solve -h + a - k = h, -a = h + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267.9 - -268. Let j = 23.09 + -23. What is the third smallest value in 0.3, j, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**2 - 28*f + 20. Let d be r(-9). What are the prime factors of 5\/(((-3)\/(-6)*-4)\/d)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204456289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44760 = 539*m + 218*m + 155282 for m.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -4b93?\nAnswer: -4ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p - 2. Suppose -3*u + 6 = -5*u. Let q be b(u). Solve q*v + 4 - 12 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 660\/7 + 1*8\/(-28). Suppose -3*p = -413 - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/3)\/(-1))\/(-16 - (-5476)\/222)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u - u)*(-1 - 1 + 1) - u - 2 + 2 + u - 2*u + 2*u + u + 0*u + u + u + u - u - 2*u + u + 2*u + (-4 + 0 + 5)*(-u + 0*u - u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 645, 1467, 2629, 4137, 5997, 8215?\nAnswer: 10797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 6*u**2 + u**2 + (4*u + 3*u - 2*u)*(-21 + 6*u + 21))*(0 - 2*u + 0)*(-2*u - 2*u + 0*u + (-2 - 2 + 3)*(u + 2*u - 5*u)).\nAnswer: 96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 585, 3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482844?\nAnswer: 2, 11, 67, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 1\/90*j**5 - 1\/135*j**6 - 10 + 0*j**2 + 1\/54*j**4 - 1\/27*j**3 - 5*j. Let c(i) be the first derivative of h(i). Factor c(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/88148 and 75\/16?\nAnswer: 352592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 7*s + 11. Let n be d(-5). Suppose -n = -4*c + 103. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.8, -3\/4, 3, 4.5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3083 (base 10) to base 7\nAnswer: 11663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16*(-2 - 7\/(-4)). Suppose i*p + p - f = -2, p + f = 2. Solve p = 5*t - 25, 0*s + 3*s = 2*t - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32225b (base 15) to base 5.\nAnswer: 1102333121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 396.31185*29\nAnswer: 11493.04365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, 3, 1\/11, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*c + 133, 4*c + 56 + 101 = -5*y. Let r = -49 - y. Let h be (282\/(-4))\/((-3)\/r). Round h to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 + -186. Let k be y*14*(-6)\/36. Does k = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 6. Determine x(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + 2 + 3)*30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1065759, -1065756, -1065753, -1065750, -1065747?\n\"Answer: 3*d - 1065762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -1. Let i = 7 + -5. Let d = 53 - 52.9. What is the nearest to d in i, -3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10012 is divided by 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 727507 = -5*u - 148287, 3*u = 12. What is a rounded to the nearest 1000?\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/3 at least -20082\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/50480 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) - (-5*sqrt(65)\/sqrt(5) + sqrt(13)))*-5.\nAnswer: -25*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2808)\/279 - -10) + 45500\/(-1085)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5031078 - -41?\nAnswer: -5031037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -149.1. Let u = 7 - 3. What is the closest to 1 in h, 0, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -217*i**3\/3 - 266*i**2 + 112*i. What is the derivative of b(o) wrt o?\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(2187) + sqrt(2187) + sqrt(2187)) + sqrt(2187) - -2*sqrt(2187)*5)\/(((-2*sqrt(162))\/sqrt(3))\/((sqrt(216)\/sqrt(4) - sqrt(54)) + sqrt(54))).\nAnswer: -297*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:53 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-20)*1\/((-8)\/18)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 2*x**2 + 2*x + 2. Let m be (-1275)\/12 + 2 + 11\/(-4). Let g = m + 105. What is u(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -1301900.\nAnswer: 11717100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 41*a**3 + 4*a**2 - 39*a**3 - 5*a**2 + 3 to the form m*a**3 + k*a**2 + u + b*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, d: 1, g: 2, w: 4}. Give prob of sequence wdg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1\/3))**(-15\/2))**31)**(-26))**(-37) assuming b is positive.\nAnswer: b**74555","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 325.0962 + -325. Let q = 105.8942 - r. Let u = q - 106. Round u to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52047)\/10630 + 0 + 2. Let m = -4\/1063 + g. What is the common denominator of m and 1\/6 - (-849)\/(-180)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-2\/5))\/((z*z**(1\/4)*z)\/z))\/(z\/z**9*z*z**0*z))**(2\/151))**(-9\/2) assuming z is positive.\nAnswer: z**(-963\/3020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 16612878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-12))\/((-85)\/(-10) + -6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 14. Let p be j(0). Suppose 19*a = 23*a + 44. Let i = p - a. Sort i, 1, 0.\nAnswer: i, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 9. Solve 2*w + 1 + p = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4036.\nAnswer: -1\/2018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 45416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 508309923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)**(15\/11))**(2\/33))**(-3\/41) assuming a is positive.\nAnswer: a**(-30\/4961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h. Let p be 68 - 70 - (-2 + 2)\/(-3). Give i(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Let s = 17 + -5. What is the units digit of (s\/5)\/r*15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6725.7 + 5596. Round u to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-12)*12 - 4. Suppose 4*b - 20 = -2*u, b = 3*u - j*b + 3. Solve -3*c + 2 + u = 5*v, -2 = -c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjzlzrv. What is prob of picking 1 r and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13131424 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + -4 + 1. Let v(c) = -2*c. Let x(h) = -3*h. Let j = 13 - 6. Let t(w) = j*v(w) + o*x(w). Let n(s) = -2*s. Give t(n(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*66\/880 - 2\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:27 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(1\/11)\/((f*f**(-3)*f)\/f**(-1\/3)))\/(f*f\/(f\/f**(2\/5))*f*f*f\/(f\/(f*f**4))*f)**40 assuming f is positive.\nAnswer: f**(-12389\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 236 + -240.2. Sort r, -3, -4 in descending order.\nAnswer: -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -413?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 2813 - 1416 - 3311. What is the smallest common multiple of 145 and t?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16831 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l - 2. Let v be g(-5). Suppose -v*y - 588 = -6*y. Calculate the highest common factor of 28 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u. Let t(h) = 8839*h**2. What is t(a(g))?\nAnswer: 141424*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 364*s + 3569 - 1195 - 1175 - 1187 to q + d*s and give d.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 h when four letters picked without replacement from {h: 2, j: 5, e: 8}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 55 - 55 + 3*j**2 - 2*j**2 + 2*j**2 - 2*j**2 + 4*j**2 + 0*j**2 + (3*j**2 - 4*j**2 - j**2)*(0 + 0 - 1).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 14) to base 4.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 596. Let d(h) = -h**2. Give c(d(y)).\nAnswer: -2*y**2 - 596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 309 = -t. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:13 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-21) - 172\/56. Let m = s - 2. Is -5 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**6\/180 - v**5\/10 - 3*v**4\/4 + 35*v**3\/6 - 68*v**2. Let a(m) be the first derivative of q(m). Solve a(f) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 23*a + 57. Calculate the smallest common multiple of w(-18) and 357.\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 8*f**3 - 16 + 32 as c + i*f**3 + t*f**2 + k*f and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259806 and 74518.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-6 + -13 - -7)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7948109 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 8 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-21\/2)*m**1 assuming m is positive.\nAnswer: m**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.73293667 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 2\/11 (b) 0.3 (c) -44 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.26 + 24.261994. Round o to five dps.\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 22*t + 111. Calculate r(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**3\/7 - 86588*n**2\/7 - 2167104*n\/7 - 297216 = 0.\nAnswer: -24, -1, 21672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16392 and 249584592?\nAnswer: 249584592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*i + 17, -5*m + 4*i = 6*i + 22. Let k be ((-6)\/2)\/(3\/m). Solve 4 = -k*z + 4*x - 6*x, 5*x - 5 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*w + 2*w. Let t = -3\/7 - -16\/21. Let s be -5 - -7 - (-24)\/(-14). Which is the nearest to s? (a) -5 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/17 < 3523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-812)*(-56)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5474999 centimeters to nanometers.\nAnswer: 5474999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -14. Let w = x + 6. Let l be (-6 - w) + (-38)\/1. Which is greater: l or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126341 is divided by 42110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -941, -1168, -1395, -1622?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(696\/76 - 9). Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26352273 is divided by 5270444?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91219*-0.06.\nAnswer: -5473.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 956 - -3?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*c + 1308, 3*c = -l - 63 + 378. Suppose -5*i = -3*i - l. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 3, 22, -1 in decreasing order.\nAnswer: 22, 8, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, -6, -23 in decreasing order.\nAnswer: 22, 0, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9)\/r)**(2\/59)*r*r**(-1\/4)*r*r*r**(-2\/9))**11 assuming r is positive.\nAnswer: r**(58091\/2124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 316\/335 smaller than 11\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaiaaaiijjjikiaaa. Give prob of picking 2 i and 1 a.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 609538 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (61 - 56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 1\/2, 346, 215?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 929\/50 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679988 to the power of 1\/2, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.4 (c) 0 (d) 21 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267142221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d01ddb - -7?\nAnswer: d01de2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 90. Let o be 5 + (1 - (g - -5)). Suppose n - 1105 = -5*t, -5*t + 91 = o*n - 1004. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - (-28)\/(-6). Suppose 18 = 2*h - 4*t, -h - 5*t = 3*h + 3. Let m be f\/h*(-5 + 2). Let j(k) = k - 3. Give j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40104.4 seconds in microseconds?\nAnswer: 40104400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/(-36) + 2 - (-280)\/36. Let h be (y\/4)\/(4*2\/(-5812)). Let f = h + 11649\/8. Calculate the common denominator of 50\/7 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*(-1 + 10\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -75585.\nAnswer: -2\/15117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 7*c**2 + c + 4. Let d be a(-7). Let m(f) be the first derivative of 1\/3*f**3 + 5\/2*f**2 - 3 - f. Calculate m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Suppose 0 = g, -10 = -a - 4*a + 4*g. Sort k, a, -0.4 in decreasing order.\nAnswer: a, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99575.61 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 4, 16, 32, 52, 76, 104?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950422.\nAnswer: 2, 11, 43201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9887094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 8*i - 9. Determine v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(1*sqrt(6)))\/sqrt(12))**2*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6744, 27022, 60826, 108156?\n\"Answer: 6763*u**2 - 11*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 4:15 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l = 107*l + 253 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4) + 7\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205216.6 minus 0.2?\nAnswer: -205216.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**5 - 7\/3*j**3 + 0 + 0*j**4 + 1\/24*j**6 + 0*j + 4*j**2. Find the first derivative of s(i) wrt i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-91) - 442\/(-14). Let g = x - 17. Find the second derivative of 2*o**2 - 2*o**2 - g*o + 17*o - o**3 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjyyjyiiyjyyjy. Give prob of picking 2 i and 2 j.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2293 = -5*b, -6*k + 5*b = -8*k - 1527. Let v = k - -864. Calculate the lowest common multiple of 140 and v.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -13.\nAnswer: 35\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 - 1. Let y(t) = -2*t**2. Determine h(y(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38052 divided by 4?\nAnswer: 9513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 98 + (-1)\/((18\/(-12))\/3). Calculate the greatest common factor of 550 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 55.31721 centuries?\nAnswer: 5.531721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 16.15674 hours?\nAnswer: 58164264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950871285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 15*d + 1432 = 0. Let n = -135 + d. What is the smallest common multiple of 28 and n?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*l. Suppose -l = -4*y + 2. Let a be (1 - y) + 14299 - -1. What is a rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/7 + (216\/462 - 12\/66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + q**4 + 5*q**2 + 4*q**4 + (3*q + 3*q - 4*q)*(0*q**3 - 2*q**3 + 0*q**3) to b*q + p*q**2 + d + w*q**3 + z*q**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.1 (b) -1 (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/10*90\/27. Suppose 5*x = -u - u + s, -2*u - 20 = -4*x. Factor -4*z**2 - z**4 + 1 + x*z**3 - 1.\nAnswer: -z**2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/15*3\/((-18)\/(-15)). Suppose 4*x - 3*a - 28 = 0, k*x + 4*a - 28 = 2*a. Solve x*h - 3*h - 2 = 2*c, 0 = c - 3*h + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40511 - -2?\nAnswer: 40513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-480)\/4080 - (-378)\/34. Let w be (-1)\/(2\/(-8)*2). Suppose i + 3*i - 24 = -w*m, m + 4*i = 20. Solve 0 = -m*y + 3 - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - 402?\nAnswer: -42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 5\/2854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -106, 102, 1, -8 in decreasing order.\nAnswer: 102, 1, 0, -4, -8, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/72 + k**5\/15 + 7*k**3\/3 + 10. Let r(d) be the third derivative of s(d). Find the second derivative of r(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69244616 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 1. Let w be -1*c\/(-2)*8. Suppose -w*v + 2*v = 0. Sort -4, v, 3 in increasing order.\nAnswer: -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8514 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-38)\/95)\/(14\/175). What is the closest to 2 in 2, d, 2\/7, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*v**2 - 2*k**3 - k*s*v - 3*k*v + 19518*k - 3338*s*v**5 - 410*s*v**2 + 2 wrt v?\nAnswer: -4*k**3 - 66760*s*v**3 - 820*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1610, -1607, -1594, -1565, -1514?\n\"Answer: a**3 - a**2 - a - 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10, -311, -4, -2, 7 in increasing order.\nAnswer: -311, -10, -6, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.5. Let u = 6 + -5.97. Let z = u - -3.97. Sort d, -1, z in ascending order.\nAnswer: -1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/12*8\/84.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101330149223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*t - 37, 0 = -2*y - 0*y - 5*t - 33. Let q be 166\/7 + y\/(-14). Let g be 0 - -1 - (-188 - 3). Calculate the greatest common factor of g and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64609\/42 - -1539. Calculate the common denominator of 75\/8 and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2338163, -4676561, -7014973, -9353405, -11691863?\nAnswer: -14030353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 188*z + 12776. Let w be l(-67). Solve 104*j - w = 124*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 325 + -865. Let s be (-294)\/d - (-2)\/(-20). Which is the closest to -0.1? (a) s (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1143 + 1263. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 13*x + 4. Let m be c(-10). What is the greatest common divisor of 68 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30 - 1\/((-330)\/(-209))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-3)\/(-3)*-2)*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l - 1. Let k be w(-1). Let h = 26.48 - 1.98. Let i = 24.2 - h. Which is the nearest to k? (a) 2\/5 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p + i, 3*p - 4*i - 2 + 4 = 0. Suppose 204255 = -p*v + 24255. What is v rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11681, 23338, 34941, 46466, 57889, 69186, 80333, 91306?\n\"Answer: -4*v**3 - 3*v**2 + 11694*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 38. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1010727746*t**2 + 49147800*t + 1 wrt t.\nAnswer: 2021455492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-245 + 248 - (10 - (1 - -1))) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404263291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 501776?\nAnswer: 501776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(176)*-1)*-3*-3 + -2)**2.\nAnswer: 10944*sqrt(11) + 229540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9813471 <= -9813464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + t**3 + 3*t - 8*t + 19*t**4 + (-2*t + 0*t + 3*t)*(-5*t**2 + t**3 + 5*t**2) to p*t + o + w*t**4 + m*t**2 + b*t**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -9, -107, 4.\nAnswer: -107, -9, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2311)\/(-795) - (-14 + 11 - -6) and -119\/6.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-4) - (-3)\/(-4). Is ((-366)\/n)\/((-14)\/147) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/2, 1\/4, -0.3, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 219*w + 12210.\nAnswer: -3*(w - 110)*(w + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.026, -98, 1\/3, -11, -0.2.\nAnswer: -98, -11, -0.2, 0.026, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2362 = -3*i + 5*g - 782, 2*g = -2*i + 1032. Is i smaller than 522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6340866 not equal to 6340915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-135))\/(((-42)\/28)\/3)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2\/(-8)*(-8 - -4). Find the third derivative of -60*h**3 + 40 + 7 - 7*h**3 + 1 + h**c wrt h.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 2)*(56 - 6 + 48) + (-4 + 3 + 3)*(-6 + 2 + 1))*(-2*t**2 - t**2 + 4*t**2) as g + l*t + s*t**2 and give s.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -957 (c) -1\/2 (d) 2 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/2)\/((-1)\/(-2)). Let v(x) = x**3 - 10*x**2 + 7*x + 4. Let m be v(9). Let i be (p\/m)\/(2\/6). Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -22*(-2)\/(-4) + 13. Solve 3*m = -0*m - q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 2*t**2 + 76*t - 7. Calculate o(-11).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - (-13)\/(52\/14). Solve s*y - 2*l = 22, -l + 0*l = -3*y + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15323 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x - x)*(1 + 0 - 2) - 5*x + 4*x + 2*x - 4*x - x + 4*x - 123*x + 93*x - 168*x - 327*x + (1 - 2 - 1)*(-3*x + 3*x + x).\nAnswer: -525*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - 1\/60*j**5 + 89*j**2 + 0*j + 0*j**4 + 0*j**3 + 1\/240*j**6. Suppose z(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(2 - 3 - 1) - 3 - 1 + 6)*(-3*l**3 + 2*l**3 - 2*l**3) + 391*l**3 + 1259*l - 1267*l + 18*l**3.\nAnswer: 391*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 27*l)*(5*l**4 - l**4 + l**4).\nAnswer: 140*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 6. Let q be p(5). What is the remainder when ((-39)\/q)\/(3\/(-12)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 42*p**2 + 8*p**2 - 19*p - 6*p**2 + 2*p**4 + 22*p as b*p + f + j*p**3 + h*p**4 + v*p**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((0 - 4) + (1 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) 3\/7 (d) -0.041 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 26*t - 28*t. Let d be 6\/21 - 836\/(-14). Suppose t*f + d = -48. What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 336*q - 3626. Let b be h(11). What is the greatest common factor of 510 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -301, -300, -299?\n\"Answer: k - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j + 7. Let o = 5106 + -5102. What is b(o)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.948301 - -20.95. What is h rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 6:56 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - -1*sqrt(216))*-5)\/((sqrt(432) - (sqrt(432) - (sqrt(432) + sqrt(432)*-1))) + sqrt(60)\/sqrt(5)*3).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15130 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/4 - 2*q**3\/3 - 9*q**2 + 1927*q + 7779. What is the first derivative of l(u) wrt u?\nAnswer: 3*u**2 - 4*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - sqrt(136)*2 - sqrt(136)))*-5)\/(1*2*sqrt(8)).\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/4)\/((-10)\/160). Suppose -15 = -7*k + b. Find the second derivative of -21*l**5 + 34*l**k - l - l wrt l.\nAnswer: 260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109071 is divided by 10899?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75.62 and -381.4.\nAnswer: -305.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 3*r + 1 = 0, 0 = 5*l + 3*r - 262 + 251 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12463 - -12463.322. Which is the second biggest value? (a) -2\/5 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 s when four letters picked without replacement from {i: 3, h: 2, s: 13}.\nAnswer: 143\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)*z)**(7\/2)\/((z*z**(-16))\/(z*z*z*z**(4\/9)*z*z)))**(19\/3) assuming z is positive.\nAnswer: z**(-3781\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + -3 + 6 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1828 + -26. Let n = m + 2773. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1130*v + 20. Let c be w(-6). Round c to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32706 divided by -6.\nAnswer: -5451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*v**2 + 4*v**4 - 9*v**4 + 2*v**4 + v**4 - 8*v**2 - 21 to k*v**2 + f*v + w*v**3 + q*v**4 + t and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 41, -5, 5, -4, -333 in decreasing order.\nAnswer: 41, 5, 1, -4, -5, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - -10*(4\/(-22))\/((-506)\/(-2783)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299 - 298. What is the closest to 3\/4 in 3\/2, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61717 (base 9) to base 4.\nAnswer: 21323212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -142\/3*p**3 + 143\/3*p + 73 - 1\/3*p**5 + 25*p**4 - 98*p**2 = 0.\nAnswer: -1, 1, 3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 1)*(0*p - 7*p - p) + (-13 + 8 + 19)*(8*p - 5*p - p) to u + b*p and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/129, -14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 216?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 38\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10953853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-10)*(-1209)\/186.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 8. Determine q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 - 124874095*d + 959195412 wrt d.\nAnswer: 4*d - 124874095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*l = -176, -2*d + 53 + 53 = -3*l. Let p = -45 + d. Solve p = -2*w - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 0 + 0. Let t be (143\/22 - 6)\/(1\/14). Calculate l(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5873210 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 6 = -4*g - 9, -50*g = -4*d + 46 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p**2 + 34*p + 225. Let w(z) = -19*z**2 + 35*z + 225. Let a(k) = -4*w(k) + 5*x(k). Solve a(r) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, -4, -6421, -3 in increasing order.\nAnswer: -6421, -5, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 707*t**3 - 177333*t**2 - 595688783?\nAnswer: 2121*t**2 - 354666*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/90 + 5*v**4\/4 + 46*v**3\/9 - 4*v**2 + 2*v + 50. Factor o(u).\nAnswer: -2*(u - 46)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11074706 + 7?\nAnswer: -11074677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 0*c - 2*c. Let x(d) = -d**3 - d**2 - d + 1. Let z be x(1). Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 - 5*w**4 + 2*w**3 - 11*w - 1 + 23*w**2 + 13*w to x*w**3 + y*w**2 + i*w + v + z*w**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55\/84 - 2\/21. Let l = 3.4 - 1.7. Let q = l + -2. What is the nearest to 3 in q, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*p = -20, -2*j + 4*p = 6 - 0. Let m = j - 8. Calculate the common denominator of -1\/11 and (-33 + m)*5\/(-16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1020)\/2295*(-63)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -47. What is the remainder when (-102)\/(-4) - 2\/(-4) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -336811374*l*v**2 - 261542911*l*v wrt v?\nAnswer: -673622748*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 at most -9888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 - 481\/(-5). Let w = -38 + 7. Let i = 43 + w. What is the greatest common factor of i and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 2*q**2 - 6*q + 36. What is l(4)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 29. Let v = -10.72 + l. Let t = v - 0.2. Round t to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}