instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 296486503 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let h(o) = -3062*o + 3063*o + 7473 - 7477. Let u = -7 - -14. Calculate h(u).\n | 3\n | ibivibiv/math_instruct | |
b"What is the oth term of -40, -130, -262, -436, -652, -910, -1210?\n" | -21*o**2 - 27*o + 8\n | ibivibiv/math_instruct | |
Let x(p) = -2*p. Let r(y) = -7*y + 4. What is 4*r(c) - 4*x(c)?\n | -20*c + 16\n | ibivibiv/math_instruct | |
What is the highest common divisor of 396 and 18128?\n | 44\n | ibivibiv/math_instruct | |
What is the highest common divisor of 3422 and 110780?\n | 58\n | ibivibiv/math_instruct | |
What is (10/55)/(17/(-17))?\n | -2/11\n | ibivibiv/math_instruct | |
In base 3, what is -1101011 + 12?\n | -1100222\n | ibivibiv/math_instruct | |
Express -10*b**3 - 12 + 12 + (-2*b**2 - 3*b**2 + 7*b**2)*(3*b - b - b) in the form w + t*b**2 + k*b + o*b**3 and give t.\n | 0\n | ibivibiv/math_instruct | |
What is the greatest common factor of 49202 and 146?\n | 146\n | ibivibiv/math_instruct | |
Divide 21 by 11.\n | 21/11\n | ibivibiv/math_instruct | |
Let k be (-63)/15 - (-3)/((-30)/8). Let s be 3/k*300/105 + 2. What is the closest to -2/7 in s, 5, -2/9?\n | -2/9\n | ibivibiv/math_instruct | |
Simplify ((sqrt(50)*-1*-2 - sqrt(50)) + sqrt(50) + sqrt(450)*2)/(1*sqrt(1440)*-3).\n | -2*sqrt(5)/9\n | ibivibiv/math_instruct | |
-121110222 (base 4) to base 14\n | -29b2a\n | ibivibiv/math_instruct | |
Let p(g) = g**2 + 3*g - 12. Let s be p(-5). Let z be (6/(-1))/(-1 + s). Calculate the highest common divisor of z and 8.\n | 2\n | ibivibiv/math_instruct | |
Let b(d) = -6*d - 68. Suppose -9 = -4*x - 61. Calculate the lowest common multiple of b(x) and 100.\n | 100\n | ibivibiv/math_instruct | |
Put 3, -4, -1, -2 in decreasing order.\n | 3, -1, -2, -4\n | ibivibiv/math_instruct | |
Suppose -3*t + 9*d - 4*d = -17, 3*d = 3*t - 15. Suppose t*n = 3*p - 58, 4*p + 5*n = -0*n + 67. Suppose -p + 95 = -7*q. Is -12 equal to q?\n | False\n | ibivibiv/math_instruct | |
List the prime factors of 49679316.\n | 2, 3, 1379981\n | ibivibiv/math_instruct | |
Which is the seventh biggest value? (a) 0 (b) 3 (c) 52 (d) -0.1 (e) -0.4 (f) 2/57127 (g) 1/4\n | e\n | ibivibiv/math_instruct | |
What is 2411 to the power of 1/2, to the nearest integer?\n | 49\n | ibivibiv/math_instruct | |
Which is the closest to 0.05? (a) 33 (b) -1/3 (c) 1/2 (d) -0.5\n | b\n | ibivibiv/math_instruct | |
Calculate prob of sequence go when two letters picked without replacement from egngeoe.\n | 1/21\n | ibivibiv/math_instruct | |
What is prob of picking 1 e, 1 s, and 1 f when three letters picked without replacement from esveevfffe?\n | 1/10\n | ibivibiv/math_instruct | |
Let 2*o**2/9 + 2901796*o/3 + 1052552503202 = 0. Calculate o.\n | -2176347\n | ibivibiv/math_instruct | |
Let g be ((-1)/(-33))/(-4 + 5). Let a = 15/11 - g. What is the third smallest value in a, 2/3, 1?\n | a\n | ibivibiv/math_instruct | |
Let l be (-22)/(-4)*(1 + 99). Suppose z = -5*g + 2*z + l, 2*z + 10 = 0. Is g a composite number?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 13 is divided by 3.\n | 1\n | ibivibiv/math_instruct | |
Suppose m = 4*b - 27, -2*b = -4*b + 5*m + 27. Solve 0 = q - b*q - 20 for q.\n | -4\n | ibivibiv/math_instruct | |
Simplify (-1 + 0 + sqrt(1900) + 5 - (sqrt(1900) - (-2 + sqrt(1900) + 2))*2)**2.\n | 80*sqrt(19) + 1916\n | ibivibiv/math_instruct | |
Let s be (-1 - (3 - 2)) + 2. Solve s = 5*f - 9*f - 20 for f.\n | -5\n | ibivibiv/math_instruct | |
Let w(j) be the second derivative of j**3/6 - 3*j**2/2 + 2*j. Let z be (8/(-20))/(1/5). Let g(h) = 2 + 2 - 4 - 1. Determine z*g(i) + w(i).\n | i - 1\n | ibivibiv/math_instruct | |
Evaluate -4 + 9 + -2 - (2 - 0).\n | 1\n | ibivibiv/math_instruct | |
Expand (-4*y - y - 27*y)*(-2*y**2 - 2*y**2 - 3*y**2) + (y - y - 2*y)*(5*y - 5*y + 2*y**2) + (3*y - 3*y + 2*y**3)*(4 - 1 - 2).\n | 222*y**3\n | ibivibiv/math_instruct | |
Let a(k) = k**3 + 72*k**2 - 153*k - 274. What is the least common multiple of a(-74) and 80?\n | 480\n | ibivibiv/math_instruct | |
Let o(w) = -w**3 - 13*w**2 - 44*w - 12. Let q be o(-7). Solve 2*u + 4*m = -4, -q*u + m - 3 = -4 for u.\n | 0\n | ibivibiv/math_instruct | |
Expand (2*f**2 + 2*f - 2*f)*(-2*f**2 - 2*f**2 + 3*f**2) + 29*f**4 - 2 + f**2 + 124*f**4 - 125*f**4 - 3*f**4 - 2*f**4 + 4*f**4.\n | 25*f**4 + f**2 - 2\n | ibivibiv/math_instruct | |
Let w = -16 + 28. Is (-352)/w*(-6)/4 a multiple of 4?\n | True\n | ibivibiv/math_instruct | |
Let l(p) = p**3 - 7*p**2 - 18*p + 7. Let j be l(9). Is 4 a factor of (89 - 0) + (j - 12)?\n | True\n | ibivibiv/math_instruct | |
Calculate 0 divided by 81.\n | 0\n | ibivibiv/math_instruct | |
How many litres are there in 0.0542918ml?\n | 0.0000542918\n | ibivibiv/math_instruct | |
Round 0.847 to two dps.\n | 0.85\n | ibivibiv/math_instruct | |
Collect the terms in -379*h + 9*h**2 + 45 + 173*h - 45 + 206*h + 29*h**2.\n | 38*h**2\n | ibivibiv/math_instruct | |
Simplify -5*sqrt(243)*-2 + sqrt(384)/sqrt(8) + sqrt(12)/(sqrt(16)/sqrt(4)).\n | 95*sqrt(3)\n | ibivibiv/math_instruct | |
Suppose t - 364 = 3*o, 2*o + 3*o + 584 = -4*t. Let k be (18/(-24))/(2/8). Is (-9)/3 + o/k a composite number?\n | False\n | ibivibiv/math_instruct | |
Round -0.00041998 to 5 dps.\n | -0.00042\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 9 and 189.\n | 189\n | ibivibiv/math_instruct | |
How many micrometers are there in fourty-one halves of a millimeter?\n | 20500\n | ibivibiv/math_instruct | |
What is the third derivative of -85*j**6 + 5*j**2 - 88*j**6 + 190*j**6 - 1 wrt j?\n | 2040*j**3\n | ibivibiv/math_instruct | |
Simplify 1*sqrt(2299)*-1 + ((sqrt(2736) + 0 + sqrt(2736) + sqrt(2736) - sqrt(2736))**2 + sqrt(19) - (sqrt(171) + sqrt(171) + 1)**2).\n | -22*sqrt(19) + 10259\n | ibivibiv/math_instruct | |
Let a = 171.549 + -76.352. Let l = 95.9 - a. Let i = l - 0.7. Round i to 3 dps.\n | 0.003\n | ibivibiv/math_instruct | |
Suppose 0 = -3*d + 4*f + 5 - 0, -12 = -5*d + 3*f. Solve -d*l + 3*i = -9, 5*i = l - 3*l + 6 for l.\n | 3\n | ibivibiv/math_instruct | |
Suppose -720*n - i + 28 = -716*n, -31*i - 392 = -2*n. Let c(b) = 69*b + 3. Let p be c(3). Let h = p + -100. Calculate the highest common factor of n and h.\n | 10\n | ibivibiv/math_instruct | |
What is -96 (base 16) in base 12?\n | -106\n | ibivibiv/math_instruct | |
Solve -2*w - 3*t = -9, -5*w - 153190*t + 37 = -153197*t for w.\n | 6\n | ibivibiv/math_instruct | |
Calculate the remainder when 1502 is divided by 28.\n | 18\n | ibivibiv/math_instruct | |
What is the smallest value in 3/3482, -446, -4/39?\n | -446\n | ibivibiv/math_instruct | |
Is 667 a multiple of 29?\n | True\n | ibivibiv/math_instruct | |
What is prob of sequence bbbb when four letters picked without replacement from vbbbbbbb?\n | 1/2\n | ibivibiv/math_instruct | |
Let n be -3 - ((-17)/(-34) + (-30)/4 - -66). Which is the fourth smallest value? (a) -2 (b) n (c) -12 (d) -1/3\n | d\n | ibivibiv/math_instruct | |
Convert -50 (base 15) to base 10.\n | -75\n | ibivibiv/math_instruct | |
Convert -1487600 (base 12) to base 14.\n | -7a4144\n | ibivibiv/math_instruct | |
Solve -60*z - 1772 + 2432 = 0 for z.\n | 11\n | ibivibiv/math_instruct | |
Convert -10010111111 (base 2) to base 12.\n | -853\n | ibivibiv/math_instruct | |
Solve 270*z = 274*z + 5*m + 19, -5*m - 15 = 0 for z.\n | -1\n | ibivibiv/math_instruct | |
Calculate ((-23)/7)/((-25)/4200*16*6).\n | 23/4\n | ibivibiv/math_instruct | |
Simplify (w*w**(-3)*w**(-2))/((w*w**7)/w*w**(-6)) assuming w is positive.\n | w**(-5)\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-28.6368 + 99.2549) - -76.0516 | 146.6697 | ibivibiv/math_instruct | |
Is 11259066 a multiple of 273?\n | True\n | ibivibiv/math_instruct | |
Suppose 36656 = 10*j + 13616. Let v = j + -718. What is the hundreds digit of v?\n | 5\n | ibivibiv/math_instruct | |
Suppose 3*n - 564 = 5*g, 5*g + 4*n + 574 = 2*n. Let i be (-1)/(-6) - (-19)/g. What is the nearest to i in -2, 0, -3/16?\n | 0\n | ibivibiv/math_instruct | |
Sum 63215 and -0.0293.\n | 63214.9707\n | ibivibiv/math_instruct | |
What is the third derivative of -414865*m**3*u**2 + 4*m**3*u - 2*m**3 - 2*m**2*u**2 + 3*m**2 - 53884*u wrt m?\n | -2489190*u**2 + 24*u - 12\n | ibivibiv/math_instruct | |
Let v = 4/1495 + -229/644345. Let k = v + 29719/8620. Calculate the common denominator of 61/4 and k.\n | 20\n | ibivibiv/math_instruct | |
Let m(c) = -c**3 + 6*c**2 + 4*c + 9. Let s be m(5). Calculate the greatest common factor of 135 and s.\n | 27\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 10712 and 32026202?\n | 2678\n | ibivibiv/math_instruct | |
Let p be 72/20 - (11 + -7)*1. Let z = 2.4 - 2. Let k = z - 2.4. What is the closest to p in k, 2/15, 5/3?\n | 2/15\n | ibivibiv/math_instruct | |
Let c(d) = 2*d**2 - 45*d - 443. Let b be c(30). Let k(g) = g**3 - 6*g**2 - 4*g - 23. Determine k(b).\n | -2\n | ibivibiv/math_instruct | |
b"What is the jth term of 3977, 3402, 2455, 1136, -555, -2618, -5053?\n" | -186*j**2 - 17*j + 4180\n | ibivibiv/math_instruct | |
Differentiate -f*k**3 - 62*f*u**3 - 17*f - 2*k**3*u**3 - 6254*k**3*u - 2*k**2*u**3 wrt f.\n | -k**3 - 62*u**3 - 17\n | ibivibiv/math_instruct | |
Is 61315391 composite?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 1:12 AM and 9:25 AM?\n | 493\n | ibivibiv/math_instruct | |
Emilia needs x cartons of berries to make a berry cobbler. She already has 2 cartons of strawberries and 7 cartons of blueberries in her cupboard. She decides to go to the supermarket to get more cartons. Emilia should buy 33 more cartons of berries. What is the value of unknown variable x? | To solve this problem, we need to determine the value of x, which represents the number of cartons of berries that Emilia needs to make a berry cobbler.
Let's break down the information given:
Number of cartons of strawberries: 2
Number of cartons of blueberries: 7
Additional number of cartons to buy: 33
We can set up ... | ibivibiv/math_instruct | |
In base 13, what is 4 - -7662?\n | 7666\n | ibivibiv/math_instruct | |
Let l(b) = -b**3 + 5*b**2 + 3*b - 1. Let c be l(5). Let k = 26 - c. Find the second derivative of -14*z**2 - z - 12*z**2 + k*z + 17*z**2 wrt z.\n | -18\n | ibivibiv/math_instruct | |
Calculate 1 + -9 + (-2 - (5 - 12)).\n | -3\n | ibivibiv/math_instruct | |
In base 6, what is 411110 + -14?\n | 411052\n | ibivibiv/math_instruct | |
Find the third derivative of -3527*k**3*v**3 + 491557*k**3*v**2 + 3*k**3*v - 27*k*v**3 wrt v.\n | -21162*k**3 - 162*k\n | ibivibiv/math_instruct | |
Rearrange (0 + 3 - 1)*(-3 + 3 + 4)*(47*o**3 - 25*o**3 + 125*o**3) to c*o**2 + k*o**3 + m*o + q and give k.\n | 1176\n | ibivibiv/math_instruct | |
Is 672673831 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let z = 4 - 2. Suppose -3*r - 12 = -3*g, 0 = 3*g - 0*r + r - 12. Let t(l) = l**2 - 8*l + 11. Let v be t(g). Put -4, v, z in decreasing order.\n | z, -4, v\n | ibivibiv/math_instruct | |
Suppose -2*s + s + 9 = 0. What is the remainder when s is divided by 3?\n | 0\n | ibivibiv/math_instruct | |
Is -2666322/13 greater than -205102?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of sequence xu when two letters picked without replacement from {f: 7, v: 5, i: 2, x: 1, u: 1}.\n | 1/240\n | ibivibiv/math_instruct | |
Let f(o) be the second derivative of -o**3/6 - 5*o + 69. Let v(g) = -377*g. Give f(v(u)).\n | 377*u\n | ibivibiv/math_instruct | |
Find the second derivative of -676888*l**2 - 10324*l wrt l.\n | -1353776\n | ibivibiv/math_instruct | |
What is -1 times 29033?\n | -29033\n | ibivibiv/math_instruct | |
Calculate the common denominator of ((-235)/20)/((-9)/(-4)) and -21/19.\n | 171\n | ibivibiv/math_instruct | |
Suppose -7 = 5*u + 2*q - 3*q, 3*q = u + 7. Let w be 1 - 6/(-2)*(-22)/264. Which is the nearest to 2? (a) 0.2 (b) u (c) w\n | c\n | ibivibiv/math_instruct | |
What is the value of -2 + 33 + (-137 - -215) + -151?\n | -42\n | ibivibiv/math_instruct |
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