instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let y = 0.02 + 2.18. Let m = -1.7 + y. What is the closest to 0 in -4/5, 3, m?\n | m\n | ibivibiv/math_instruct | |
Suppose -67 - 18 = -a. Suppose a + 59 = 3*p. List the prime factors of p.\n | 2, 3\n | ibivibiv/math_instruct | |
What is the product of 4.124 and 13?\n | 53.612\n | ibivibiv/math_instruct | |
Let x = 1432 + -1428. What is the closest to 5 in -5, x, -1/2, 2/19?\n | x\n | ibivibiv/math_instruct | |
Let u(s) = 2*s**2. Let g(j) = 4*j. Calculate u(g(o)).\n | 32*o**2\n | ibivibiv/math_instruct | |
Calculate -1*-114.\n | 114\n | ibivibiv/math_instruct | |
Calculate prob of sequence dzdz when four letters picked without replacement from {v: 1, z: 2, d: 11}.\n | 5/546\n | ibivibiv/math_instruct | |
Let k = 4 - 2. Let m(h) = 4*h**3 - 4*h**2 - 2*h + 2. Let d(p) = 5*p**3 - 5*p**2 - p + 3. Let x(n) = k*d(n) - 3*m(n). Suppose x(w) = 0. Calculate w.\n | -1, 0, 2\n | ibivibiv/math_instruct | |
Put together 1.34724101 and -0.6449279.\n | 0.70231311\n | ibivibiv/math_instruct | |
Let o = -4 - -7. Suppose 8 = o*y - y. Solve 0*a + y*a + 16 = 0 for a.\n | -4\n | ibivibiv/math_instruct | |
Suppose 5*u - 20*u + 4005 = 0. Suppose 738 = 3*q + u. What are the prime factors of q?\n | 157\n | ibivibiv/math_instruct | |
Let u(t) = -t**3 + 10*t**2 - 4*t - 9. Let v be u(7). Let f be ((-6 - -3) + 3)/(-4). Suppose f = -6*j + j + v. Is j a composite number?\n | True\n | ibivibiv/math_instruct | |
Suppose -3*v = -2*b - 7, b = 2*v - 0*b - 5. What is the first derivative of -39*a**2 + 2 + 35*a**2 - v*a + 3*a wrt a?\n | -8*a\n | ibivibiv/math_instruct | |
Solve -3*f - 7935 = -5*w - 7948, 5*w = -5*f - 5 for w.\n | -2\n | ibivibiv/math_instruct | |
Calculate -282555 divided by -4347.\n | 65\n | ibivibiv/math_instruct | |
Suppose 3*s = -2*y + 1823, -4*s = -y - 0*y + 917. Suppose 5*t + 228 - y = 0. What is the remainder when t is divided by 35?\n | 32\n | ibivibiv/math_instruct | |
What is the nearest to -0.1 in 43, 3, 0.6?\n | 0.6\n | ibivibiv/math_instruct | |
Find the common denominator of -35/48 and 109/82260.\n | 329040\n | ibivibiv/math_instruct | |
Suppose -4*o = 12 - 28. Solve o = 3*c - 8 for c.\n | 4\n | ibivibiv/math_instruct | |
Let z(x) = x - 6. Let v be z(9). Suppose -2*d - 3*y - v = d, -32 = 5*d - 4*y. Suppose 0*c + 5*c - 3*u = -15, 25 = -4*c + 5*u. Put c, 0.1, d in increasing order.\n | d, c, 0.1\n | ibivibiv/math_instruct | |
Is 6103649029 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let r(o) = -o**3 - 3*o**2 + o - 9. Let j be r(-4). Suppose -j*u = -5*y - u + 16, u - 2 = 0. Let v = 3 + 0. Solve -v*f - f = y for f.\n | -1\n | ibivibiv/math_instruct | |
List the prime factors of 126756.\n | 2, 3, 7, 503\n | ibivibiv/math_instruct | |
Let p = 31 + -19. Let j be (-2 + 20/p)*-30. Suppose c - 16 = -2*f - 0*f, 9 = 3*f. Calculate the highest common divisor of c and j.\n | 10\n | ibivibiv/math_instruct | |
Let a(l) be the second derivative of l**7/294 - l**6/15 + 5*l**5/28 - l**4/7 + 47*l - 2. Factor a(x).\n | x**2*(x - 12)*(x - 1)**2/7\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 s and 1 t when three letters picked without replacement from tisiiissiiid.\n | 3/220\n | ibivibiv/math_instruct | |
Let g = 6692 + -6691.5. What is the second smallest value in -1/4, g, 16, 3, -0.4?\n | -1/4\n | ibivibiv/math_instruct | |
Evaluate ((-3036)/1265)/(22/(-10)).\n | 12/11\n | ibivibiv/math_instruct | |
Let y = 4 + -7. Suppose -45*r + 20 = -41*r + 5*l, 4*l = -4*r + 20. Put y, r, -1 in descending order.\n | r, -1, y\n | ibivibiv/math_instruct | |
Calculate -4085 divided by 5.\n | -817\n | ibivibiv/math_instruct | |
Let d(n) = n**3 - 44*n**2 - 25*n + 373. Is d(55) a prime number?\n | False\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {s: 2, u: 1, g: 1}. Give prob of picking 1 u and 2 s.\n | 1/4\n | ibivibiv/math_instruct | |
What is 9902 take away -561.7?\n | 10463.7\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 120217 and 239.\n | 239\n | ibivibiv/math_instruct | |
What is -0.000000673086995 rounded to 7 dps?\n | -0.0000007\n | ibivibiv/math_instruct | |
Suppose 16*s - 954 = 758. Let w = s - 80. Is -2 bigger than w?\n | False\n | ibivibiv/math_instruct | |
Which is the closest to 2/5? (a) -32 (b) -1/2 (c) -2/3 (d) 1.7\n | b\n | ibivibiv/math_instruct | |
What is next in 1508, 6043, 13602, 24185, 37792, 54423, 74078?\n | 96757\n | ibivibiv/math_instruct | |
Let p(v) be the second derivative of -23*v**4/3 + 5*v**3/6 + 10*v**2 - 134*v. What is the second derivative of p(n) wrt n?\n | -184\n | ibivibiv/math_instruct | |
Collect the terms in 3027*s**2 + 932*s**2 + 293*s**2.\n | 4252*s**2\n | ibivibiv/math_instruct | |
Let x be 20/3*(-9)/(-6). Let q be 102/30 - 4/x. Find the second derivative of 2*g**3 + g + 4*g**q - 5*g**3 wrt g.\n | 6*g\n | ibivibiv/math_instruct | |
Round -132.430684 to the nearest integer.\n | -132\n | ibivibiv/math_instruct | |
Calculate (111/185)/(13/5).\n | 3/13\n | ibivibiv/math_instruct | |
Solve -5*n - 19 - 6 = 0 for n.\n | -5\n | ibivibiv/math_instruct | |
Which is the closest to -187.1? (a) 1/7 (b) 2/11 (c) -7 (d) 0.3\n | c\n | ibivibiv/math_instruct | |
Find the second derivative of 3*b*k**3 + 5802*b*k**2 - 5*b*k + 94*b wrt k.\n | 18*b*k + 11604*b\n | ibivibiv/math_instruct | |
Find the second derivative of 452487*f**3 + 1168933*f.\n | 2714922*f\n | ibivibiv/math_instruct | |
Let f = 78 + -72.1. Let x = 0.9 - f. Let v = x + 4.99999997. What is v rounded to seven decimal places?\n | 0\n | ibivibiv/math_instruct | |
Calculate 31 + -18 + 0 - 77 - (5 - (-2 + 0)).\n | -71\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {u: 5, i: 9, k: 2}. What is prob of picking 2 k?\n | 1/120\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {a: 4, u: 1, k: 4, o: 1}. What is prob of picking 2 a, 1 o, and 1 k?\n | 4/35\n | ibivibiv/math_instruct | |
Is 102069811 a prime number?\n | True\n | ibivibiv/math_instruct | |
How many litres are there in 61738.5ml?\n | 61.7385\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 21228 and 1044.\n | 348\n | ibivibiv/math_instruct | |
Let v(a) = a + 7. Let t be v(-3). Let l(g) = -4*g + g**2 + 3*g**2 - 5 - 11*g**2 + 13*g**2 - g**3. What is l(t)?\n | 11\n | ibivibiv/math_instruct | |
((-36)/(-54))/(2/3)\n | 1\n | ibivibiv/math_instruct | |
Simplify x**(-1/10)/x**(-2/9)*(x**(-1)/x)**(15/8) assuming x is positive.\n | x**(-653/180)\n | ibivibiv/math_instruct | |
Factor 4*x**3 + 540*x**2 + 9392*x - 20976.\n | 4*(x - 2)*(x + 23)*(x + 114)\n | ibivibiv/math_instruct | |
b"What is the ith term of 4472315, 8944625, 13416935, 17889245, 22361555?\n" | 4472310*i + 5\n | ibivibiv/math_instruct | |
Is 1965497 a composite number?\n | False\n | ibivibiv/math_instruct | |
Put 49, -0.2, -0.1, -2/27 in ascending order.\n | -0.2, -0.1, -2/27, 49\n | ibivibiv/math_instruct | |
Does 44 divide 49898508?\n | True\n | ibivibiv/math_instruct | |
Which is bigger: 2338/9 or 506.43?\n | 506.43\n | ibivibiv/math_instruct | |
Is -0.295 smaller than 0.4?\n | True\n | ibivibiv/math_instruct | |
What is the third root of 23289386 to the nearest integer?\n | 286\n | ibivibiv/math_instruct | |
Given that $a,$ $b,$ and $c$ are distinct real numbers such that $\frac{a}{b - c} + \frac{b}{c - a} + \frac{c}{a - b} = 0$, what are all the possible values of $\frac{a}{(b - c)^2} + \frac{b}{(c - a)^2} + \frac{c}{(a - b)^2}$? Please enter all the possible values, separated by commas. | We start by expanding each term in the expression $\frac{a}{(b - c)^2} + \frac{b}{(c - a)^2} + \frac{c}{(a - b)^2}$.
We get $\frac{a}{(b - c)^2} = \frac{a}{(b - c)(b - c)} = \frac{a}{(b - c)(c - b)} = -\frac{a}{(c - b)(b - c)} = -\frac{a}{(b - c)^2}.$
Similarly, we find that $\frac{b}{(c - a)^2} = -\frac{b}{(a - c)^2}$... | ibivibiv/math_instruct | |
Put together -11.08 and 0.8888.\n | -10.1912\n | ibivibiv/math_instruct | |
Suppose -14*f = -39 + 11. Calculate the lowest common multiple of 52 and f.\n | 52\n | ibivibiv/math_instruct | |
What is the thousands digit of 11609?\n | 1\n | ibivibiv/math_instruct | |
Solve 47*s + 419 = -p - 283, -2*p + 2*s + 36 = 0 for p.\n | 3\n | ibivibiv/math_instruct | |
What is next in -63587224, -127174447, -190761670, -254348893?\n | -317936116\n | ibivibiv/math_instruct | |
Let h(w) = 7*w - 117. Let y be h(21). Let m be y/12*2*2. Solve -3*s + s = -m for s.\n | 5\n | ibivibiv/math_instruct | |
Which is smaller: -1 or -20442/31505?\n | -1\n | ibivibiv/math_instruct | |
Round 52920 to the nearest one thousand.\n | 53000\n | ibivibiv/math_instruct | |
How many minutes are there between 9:24 PM and 5:47 AM?\n | 503\n | ibivibiv/math_instruct | |
Expand (3*o + 7 - 7)*(2 + 14 - 1 - 6 + 1 + 2 + (2 + 1 - 1)*(-4 + 1 + 2))*(-2*o - 3*o + 2*o).\n | -90*o**2\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 4300 and 28562700.\n | 100\n | ibivibiv/math_instruct | |
Let d = 11 - 20. Let b = d - -9.4. Let f = -69.1 - -69. Put -4, b, f in decreasing order.\n | b, f, -4\n | ibivibiv/math_instruct | |
Find the second derivative of -990*o**3 - 32*o wrt o.\n | -5940*o\n | ibivibiv/math_instruct | |
What is ((-81)/6804*-36)/(215/70)?\n | 6/43\n | ibivibiv/math_instruct | |
Collect the terms in -5 + 138*y - 2 + 7.\n | 138*y\n | ibivibiv/math_instruct | |
Let o(w) = 3*w**2 - w + 4. Let u be o(-3). Let t = -16 + u. List the prime factors of t.\n | 2, 3\n | ibivibiv/math_instruct | |
Let n(q) = -2216*q. Let o(a) = a + 2172. Give o(n(j)).\n | -2216*j + 2172\n | ibivibiv/math_instruct | |
Collect the terms in -8*x**2 - 18*x + 25*x - 7*x.\n | -8*x**2\n | ibivibiv/math_instruct | |
Solve -4*r + 8 = o, 0 = -2060*r + 2059*r - 10*o - 37 for r.\n | 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-47.6521 - 65.9343) / (-32.5965 - 93.203) | 0.9029 | ibivibiv/math_instruct | |
Let z(q) be the first derivative of -q**3/3 - 9*q**2/2 - 40*q + 1904. Give z(-5).\n | -20\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ewjejejdjeejeej. Give prob of sequence wj.\n | 1/35\n | ibivibiv/math_instruct | |
What comes next: 15, 13, 11?\n | 9\n | ibivibiv/math_instruct | |
Solve 4*y + 30 = 11*d - 6*d, -5*y = -3*d + 18 for d.\n | 6\n | ibivibiv/math_instruct | |
Let l(g) = -g**3 - g**2 - 2*g + 2. Determine l(3).\n | -40\n | ibivibiv/math_instruct | |
Evaluate (-380)/(-30) + ((-132)/(-18) - (22 + -13)).\n | 11\n | ibivibiv/math_instruct | |
Is 51392386301 a composite number?\n | False\n | ibivibiv/math_instruct | |
Simplify (d/(d*(d*d**(-1/3))/d))**(4/5)/(((d**(-8)/d*d*d)/d)/d*d**(-3/8)/d)*(d*d**7*d*d**12*d*d*d)**(10/3) assuming d is positive.\n | d**(10877/120)\n | ibivibiv/math_instruct | |
Let g(l) be the second derivative of 9*l**3/2 + 17*l**2 - 31*l. Differentiate g(z) wrt z.\n | 27\n | ibivibiv/math_instruct | |
Evaluate 16 - (3 + -13 + 17 + 5).\n | 4\n | ibivibiv/math_instruct | |
In base 11, what is 6091 + -9322?\n | -3241\n | ibivibiv/math_instruct | |
What is 3784220 to the power of 1/3, to the nearest integer?\n | 156\n | ibivibiv/math_instruct | |
Let i(a) be the second derivative of -1/150*a**6 + 3/50*a**5 + 17 + 2/15*a**3 + 0*a**2 - 3/20*a**4 + 2*a. Factor i(n).\n | -n*(n - 4)*(n - 1)**2/5\n | ibivibiv/math_instruct | |
Solve -2*p + 13*f - 12 = 15*f, 10 = -3*p - 6*f + 4*f for p.\n | 2\n | ibivibiv/math_instruct |
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