instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 2*s - 4*r + 8 = -4, 15 = s + 5*r. Suppose -5*n = -12 - 13. Suppose -4*z - 60 = -4*t, s - n = -z. What is the remainder when 76 is divided by t?\n | 16\n | ibivibiv/math_instruct | |
What is the value of 0 + 6 + -7 + 1 + -12?\n | -12\n | ibivibiv/math_instruct | |
Suppose -7*i + 319 = 2*p - 4*i, -2*p = 4*i - 316. Solve -38 = -18*h - p for h.\n | -7\n | ibivibiv/math_instruct | |
Solve 3*s**2 - 294*s + 7203 = 0 for s.\n | 49\n | ibivibiv/math_instruct | |
What is 5733615 to the power of 1/7, to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Let j(s) = -15*s. Let r(z) = 2*z**2 - 6*z + 6. Let d(k) = 12*k**2 - 37*k + 37. Let x(q) = 6*d(q) - 37*r(q). Give x(j(m)).\n | -450*m**2\n | ibivibiv/math_instruct | |
Evaluate (-4)/(-352) + ((-9460)/605 - -16).\n | 3/8\n | ibivibiv/math_instruct | |
Evaluate (-3 - (-1 - 12)) + -35 + 13 + 23.\n | 11\n | ibivibiv/math_instruct | |
Is 1 bigger than 4/56286291?\n | True\n | ibivibiv/math_instruct | |
Let q(g) = 50*g + 24 + 56*g - 108*g. Let y be q(12). Factor 0*b**3 + 0*b + y*b + b**3.\n | b**3\n | ibivibiv/math_instruct | |
Is 282288281095 a composite number?\n | True\n | ibivibiv/math_instruct | |
Determine q so that 3*q**3 - 2958*q**2 - 2961*q = 0.\n | -1, 0, 987\n | ibivibiv/math_instruct | |
Let o(v) = v + 13. Give o(-10).\n | 3\n | ibivibiv/math_instruct | |
Let j = 231 + -229. Let u = -1 + 6. Suppose 0 = -u*f + 2*f. Solve -j*p - 2 + 8 = f for p.\n | 3\n | ibivibiv/math_instruct | |
1/((0 + -2)*(-4)/8)\n | 1\n | ibivibiv/math_instruct | |
Express (176 - 186 - 87)*(3*y**2 - 2*y**2 + y**2) + 2 - y**2 - 2 as k + g*y + s*y**2 and give k.\n | 0\n | ibivibiv/math_instruct | |
What is ((94050/(-60))/(-57))/(1*5)?\n | 11/2\n | ibivibiv/math_instruct | |
Work out 0.86392 - 8016212.\n | -8016211.13608\n | ibivibiv/math_instruct | |
Simplify (v**(15/7)*v)**15*(v*v**(2/11))**(1/16) assuming v is positive.\n | v**(58171/1232)\n | ibivibiv/math_instruct | |
Let q = 45 - 43. Let x be ((-3)/16)/(-12*(-13)/(-104)). What is the nearest to q in 1, x, 0?\n | 1\n | ibivibiv/math_instruct | |
Is 75401314 a multiple of 1601?\n | False\n | ibivibiv/math_instruct | |
What is the greatest common factor of 96 and 2401456?\n | 16\n | ibivibiv/math_instruct | |
Rearrange q**4 - q**2 - 10*q + 8*q - 1 - q**4 - 3*q**4 to w + t*q**2 + l*q + b*q**4 + s*q**3 and give l.\n | -2\n | ibivibiv/math_instruct | |
Work out 0.40227889 - -0.5.\n | 0.90227889\n | ibivibiv/math_instruct | |
Let u(h) = 8*h - 2. Let l be u(1). Let w be (4 + -3)/(3/l). Let t = 2 + 1. Solve t = v - w for v.\n | 5\n | ibivibiv/math_instruct | |
Round -0.04122 to two decimal places.\n | -0.04\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-6.117 * 4.752) + (13.359 % -16.253) | -31.962 | ibivibiv/math_instruct | |
List the prime factors of 1485922.\n | 2, 41, 18121\n | ibivibiv/math_instruct | |
Let l be 171/7 - 12/28. Suppose 3*s = l - 6. Suppose s*t - 315 = t. What is the tens digit of t?\n | 6\n | ibivibiv/math_instruct | |
Let w(x) = 10*x - 34. Let q(g) = -3*g + 11. Let a(f) = -7*q(f) - 2*w(f). Let j be a(12). Solve -j*b + 2*b = 4*d - 15, b + 10 = d for d.\n | 5\n | ibivibiv/math_instruct | |
Round 0.00000097259 to seven dps.\n | 0.000001\n | ibivibiv/math_instruct | |
Simplify (((i**4*i)**(4/31)/((i**(-1/2)*i)/(i*i**(-8/7))))**(-1/9))**47 assuming i is positive.\n | i**(-47/3906)\n | ibivibiv/math_instruct | |
Solve 7077*y + 406581 = -39270 for y.\n | -63\n | ibivibiv/math_instruct | |
Product of -4 and -1130.\n | 4520\n | ibivibiv/math_instruct | |
Let s = 19 + -5. Let u = 24 - s. Calculate the smallest common multiple of u and 1.\n | 10\n | ibivibiv/math_instruct | |
Let w be 8/20 - (-3)/5. Let c be -2 + w + 4 + -3. Is 1/3 bigger than c?\n | True\n | ibivibiv/math_instruct | |
Express (-1 + 2 - 2)*(-2 - 1 + 6)*((-28*w**2 - 2*w**2 + 12*w**2)*(5*w - 2*w - 4*w) + 2*w**3 + 3*w**3 - 4*w**3) in the form r + a*w**3 + g*w**2 + c*w and give a.\n | -57\n | ibivibiv/math_instruct | |
Let w(s) = -11*s**2 - 8*s - 8. Let z(q) be the first derivative of -4*q**3/3 - 3*q**2/2 - 3*q + 8. Calculate -3*w(y) + 8*z(y).\n | y**2\n | ibivibiv/math_instruct | |
In base 14, what is 15d66 - 346?\n | 15a20\n | ibivibiv/math_instruct | |
Let p(l) = 20*l**3 - 345*l**2 + 11*l + 11. Let j(u) = 11*u**3 - 172*u**2 + 6*u + 6. Determine 11*j(q) - 6*p(q).\n | q**3 + 178*q**2\n | ibivibiv/math_instruct | |
Let x be (-1)/(-2) + 18/(-4). Suppose 43 + 61 = 13*d. Suppose 0 = -5*p, y - 3*p + d - 7 = 0. What is the smallest value in -5, y, 0.4, x?\n | -5\n | ibivibiv/math_instruct | |
What is prob of sequence dpz when three letters picked without replacement from ddppzdzpozdzddz?\n | 3/91\n | ibivibiv/math_instruct | |
233 (base 4) to base 7\n | 65\n | ibivibiv/math_instruct | |
What are the prime factors of 70860?\n | 2, 3, 5, 1181\n | ibivibiv/math_instruct | |
What is -89.4816595 rounded to 2 decimal places?\n | -89.48\n | ibivibiv/math_instruct | |
Let r = -17 + 28. Suppose -g = 4*s, 2*g - 5 = 3*s - 27. Let o = r + g. List the prime factors of o.\n | 3\n | ibivibiv/math_instruct | |
Solve 16*d - 17*d - 5 = 0 for d.\n | -5\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 33 and 39.\n | 3\n | ibivibiv/math_instruct | |
What is the next term in 296, 279, 262, 245?\n | 228\n | ibivibiv/math_instruct | |
Solve 94*w + 3*f + 59 = 83*w, -3*w - f = 17 for w.\n | -4\n | ibivibiv/math_instruct | |
What is the common denominator of 53/6144 and 27/32?\n | 6144\n | ibivibiv/math_instruct | |
Simplify (n**(1/2)/(n/n**(-2/3))*(n*n*n*n**2)/n**(-4))**(-10) assuming n is positive.\n | n**(-235/3)\n | ibivibiv/math_instruct | |
What is -52130 rounded to the nearest ten thousand?\n | -50000\n | ibivibiv/math_instruct | |
Let f(k) = 1 + 2 - 3*k + 0*k**2 + k**2 + 0*k. Let t be f(3). Suppose 3 = t*s, -3*s + 10 + 31 = 2*u. Is u a multiple of 11?\n | False\n | ibivibiv/math_instruct | |
Let v = 8 + -3. What is the biggest value in -2/5, v, -3?\n | v\n | ibivibiv/math_instruct | |
Let l = 9 - 9. Let p = 7 - 6. Let z = -2.6 + 1.6. What is the smallest value in l, p, z?\n | z\n | ibivibiv/math_instruct | |
Solve 0*j**2 + 0 + 2*j**4 - 8/3*j + 14/3*j**3 = 0 for j.\n | -2, -1, 0, 2/3\n | ibivibiv/math_instruct | |
Sort 1/2, -1, -209496, -3, 2/11 in decreasing order.\n | 1/2, 2/11, -1, -3, -209496\n | ibivibiv/math_instruct | |
Let y = -0.1 - -0.4. Let i = 195/14 - 94/7. Suppose -15 = 8*q - 3*q. What is the biggest value in i, q, y?\n | i\n | ibivibiv/math_instruct | |
What is -7 + -8 + 7 - -9 - -3?\n | 4\n | ibivibiv/math_instruct | |
0.01*-0.025\n | -0.00025\n | ibivibiv/math_instruct | |
What is (-1 + 52/48)*(-56)/(-35)?\n | 2/15\n | ibivibiv/math_instruct | |
Solve -82725*o = -82751*o + 260 for o.\n | 10\n | ibivibiv/math_instruct | |
Let 3*k**4/5 - 57*k**3 - 4869*k**2/5 - 8871*k/5 - 858 = 0. Calculate k.\n | -13, -1, 110\n | ibivibiv/math_instruct | |
Multiply -6463703 and 2.\n | -12927406\n | ibivibiv/math_instruct | |
What is the product of -0.0008 and 357.8?\n | -0.28624\n | ibivibiv/math_instruct | |
b"What is the zth term of -1, -2, -3, -4?\n" | -z\n | ibivibiv/math_instruct | |
Let c be (2 - (-6)/(-4))*4. Suppose 3*u + 21 = -v, -c*u = 2*v - 5*u - 3. What are the prime factors of (v/8 - -1)*68?\n | 17\n | ibivibiv/math_instruct | |
4 - (4 - 0 - (-2 - 3))\n | -5\n | ibivibiv/math_instruct | |
Solve -4*k = -21*m - 42, 0 = -5*m - 134*k + 129*k - 10 for m.\n | -2\n | ibivibiv/math_instruct | |
Solve 0*s = 4*s + 3*p - 22, -p = 5*s - 22 for s.\n | 4\n | ibivibiv/math_instruct | |
Expand (0 - 3 + 0)*(15*f**4 - f**4 - 4*f**4) + 3*f**4 + 3*f**4 - 4*f**4 + 17*f**4 - 16 + 16 - f**4 + f - f + (-2 + 3 + 0)*(-f**4 - f**4 + 4*f**4).\n | -10*f**4\n | ibivibiv/math_instruct | |
Let d be (18/10)/(36/60). Find the third derivative of 2 + 17*p**3 + 7*p**2 - 10*p**d - 2 wrt p.\n | 42\n | ibivibiv/math_instruct | |
Let w(o) = o**3 - 8*o**2 + o - 1. Let y be w(8). Let c(u) = u**2 - 3*u - 4. What is the tens digit of c(y)?\n | 2\n | ibivibiv/math_instruct | |
Let u(o) = 0*o**2 - 3*o**2 + o**2. Let v(l) be the third derivative of 0 + 0*l - 1/24*l**4 + 0*l**3 - 2*l**2. What is v(u(f))?\n | 2*f**2\n | ibivibiv/math_instruct | |
Solve 4*y + 15*b - 43*b = -4, -2*y + b - 2 = 0 for y.\n | -1\n | ibivibiv/math_instruct | |
Let r(o) = -2*o**2 + 5*o + 2. Let j(v) = 2*v**2 + v + 1. Let m(t) = j(t) - r(t). Calculate m(3).\n | 23\n | ibivibiv/math_instruct | |
What are the prime factors of 122399694?\n | 2, 3, 17, 151, 883\n | ibivibiv/math_instruct | |
If Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, 1/2 goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. How much goes to contingency fund? | The community pantry project gets 240 x 1/3 = $80.
The local crisis fund has 240 x 1/2 = $120.
So, the total funds allocated for the two funds is $80 + $120 = $200.
The total remaining funds for the other 2 funds is $240 - $200 = $40.
The livelihood project gets $40 x 1/4 = $10.
Hence, the contingency fund is $40 - $10... | ibivibiv/math_instruct | |
How many months are there in sixty-four fifths of a century?\n | 15360\n | ibivibiv/math_instruct | |
What is 27 - 0 - (0 - (27 + -36))?\n | 18\n | ibivibiv/math_instruct | |
Suppose -p + 6*p - 4935 = 0. Suppose 4*b + p = 5*c, 3*c + 783 = 7*c - b. Suppose -5*d + c = 30. Calculate the least common multiple of d and 6.\n | 66\n | ibivibiv/math_instruct | |
Sort 12/11, 2/11, -1.1 in decreasing order.\n | 12/11, 2/11, -1.1\n | ibivibiv/math_instruct | |
Let k(m) be the third derivative of m**4/24 - m**3/6 - 16*m**2. Calculate k(-6).\n | -7\n | ibivibiv/math_instruct | |
Tony exercises every morning by walking 3 miles carrying a 25-pound backpack, then he runs another x miles without the backpack. If he walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour, how many hours each week does he spend exercising?
If we know the answer to the above question is 21, what... | Tony walks 3 miles carrying a 25-pound backpack, which takes him 3/3 = 1 hour.
He then runs x miles without the backpack, which takes him x/5 hours.
The total time Tony spends exercising each day is 1 + x/5 hours.
We are given that he exercises for a total of 21 hours each week, so we can write: 7 * (1 + x/5) = 21.
Sim... | ibivibiv/math_instruct | |
What is next in 258, 257, 218, 123, -46, -307?\n | -678\n | ibivibiv/math_instruct | |
Suppose -2*v + 4*r = -6*v + 1136, -r = 5*v - 1416. Let t = -194 + v. Does 20 divide t?\n | False\n | ibivibiv/math_instruct | |
Calculate -10975659 + -151.\n | -10975810\n | ibivibiv/math_instruct | |
Let c = -72 - -108. Let v be (-279)/12 - (-2)/8. Let w = v + c. What is the highest common divisor of 143 and w?\n | 13\n | ibivibiv/math_instruct | |
Collect the terms in h**2 - 143*h + 143*h.\n | h**2\n | ibivibiv/math_instruct | |
What is the derivative of -1262*z**4 - 618 wrt z?\n | -5048*z**3\n | ibivibiv/math_instruct | |
Suppose 11 = 2*l + 1. Suppose -4*j + 2 - 3 = -v, v + l = -2*j. Let h(r) = -15*r - 15. What is the remainder when h(v) is divided by 16?\n | 14\n | ibivibiv/math_instruct | |
Calculate 502590/(-6092)*-2*(-1)/(-3).\n | 55\n | ibivibiv/math_instruct | |
Let a(y) = -25*y**2 - 454*y - 2022. Calculate a(-8).\n | 10\n | ibivibiv/math_instruct | |
Let v = 22468 - 22346. What is the remainder when v is divided by 77?\n | 45\n | ibivibiv/math_instruct | |
What is the product of -0.072 and 0.04?\n | -0.00288\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Math Help - Accumulation points, dense set
1. Accumulation points, dense set
Let S be contained in $\mathbb{R}$ and let A be the set of accumulation points of S. Prove S is dense in $
\mathbb{R}$
iff. A= $
\mathbb{R}$
2. O... | We begin our discussion on accumulation points, dense sets, and their relationship by first establishing the necessary definitions and building up to a full proof of the given statement. This will require a deep dive into the concept of limits, neighborhoods, and topological spaces, all of which are fundamental to ana... | ibivibiv/math_instruct | |
In base 11, what is a + -71?\n | -62\n | ibivibiv/math_instruct | |
Let a = -33 + 31. Let j = -6 - -6.4. What is the biggest value in a, j, 5?\n | 5\n | ibivibiv/math_instruct | |
Suppose 1682 = 2*k + 104. Suppose -3*v - 243 = 2*p - k, -2*p + 542 = v. Calculate the remainder when p is divided by 21.\n | 18\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.