instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 0*u = -3*t + u + 7, -4*t + 8 = -2*u. Suppose 525 = -10*i + 45*i. Calculate the smallest common multiple of i and t.\n | 15\n | ibivibiv/math_instruct | |
Let o(i) = i**3 + 6*i**2 + 5*i + 3. Let c be o(-5). Find the first derivative of -4*s**2 + s**2 + 13*s - 18 + c*s - 8*s wrt s.\n | -6*s + 8\n | ibivibiv/math_instruct | |
During the holidays, Lance works as a merchandiser. He works 35 hours a week, spread equally over 5 workdays. If Lance earns $9 an hour, how much does he make on each workday? | Lance works 35 hours a week, so he works 35/5 = 7 hours a day.
If Lance earns $9 an hour, he makes $9 x 7 = $63 on each workday.
#### 63
The answer is: 63 | ibivibiv/math_instruct | |
Let p(f) = -f + 2. Determine p(-5).\n | 7\n | ibivibiv/math_instruct | |
What is -3 + 6 - (-27 - -23)?\n | 7\n | ibivibiv/math_instruct | |
Is 391 < 360?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of -2*a**2 + 1 + 20*a - 8133*a**4 + 4059*a**4 + 4075*a**4 - 39*a**3 - a**6 wrt a.\n | -120*a**3 + 24*a - 234\n | ibivibiv/math_instruct | |
Calculate -3623877 divided by 4593.\n | -789\n | ibivibiv/math_instruct | |
Let b(s) be the first derivative of -31*s**2/2 + 10965. Let x(r) = -487*r**2. Determine x(b(c)).\n | -468007*c**2\n | ibivibiv/math_instruct | |
Suppose 0 = f - 0*f - 14. Suppose -y = y - f. Suppose y*w = 3*w + 16. Solve -w*s + 2 = -2 for s.\n | 1\n | ibivibiv/math_instruct | |
Let y = -2/14851 - -787135/237616. What is the common denominator of y and (-158)/8*3/6?\n | 16\n | ibivibiv/math_instruct | |
Suppose -5*m = -3*f - 10, m + 6*f = f + 30. Let k = -4.5 + 0.5. Let t = k + 5. What is the second smallest value in -3, t, m?\n | t\n | ibivibiv/math_instruct | |
Solve -4*i - 188 = -192 for i.\n | 1\n | ibivibiv/math_instruct | |
Expand -2 + 2 - 2*s**4 + (189*s - 1436 + 1436)*(-5*s**3 + 3*s**3 + 4*s**3).\n | 376*s**4\n | ibivibiv/math_instruct | |
Let p = -4 - -6. Which is the biggest value? (a) 4 (b) 0.5 (c) p\n | a\n | ibivibiv/math_instruct | |
Convert -1 (base 9) to base 11.\n | -1\n | ibivibiv/math_instruct | |
-17*-224903\n | 3823351\n | ibivibiv/math_instruct | |
Solve -5263*r - 5263*r + 3*q - 25 = -10524*r, 5 = -5*r - 4*q for r.\n | -5\n | ibivibiv/math_instruct | |
Suppose 109*z - 89*z - 246240 = -220*z. Calculate the remainder when z is divided by 24.\n | 18\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-80.83 - (-97.184 / 51.883) | -78.9569 | ibivibiv/math_instruct | |
Simplify 4 + (-4*(sqrt(153) + 1) + sqrt(153))**2.\n | 72*sqrt(17) + 1397\n | ibivibiv/math_instruct | |
Calculate (1284/(-22470))/((-6)/45).\n | 3/7\n | ibivibiv/math_instruct | |
Let u(h) = -h**3 + 128*h**2 - 267*h + 1899. What is u(126)?\n | 9\n | ibivibiv/math_instruct | |
Suppose -11*y + 19 = -25. Suppose t + s + 25 - 669 = 0, y*s + 1264 = 2*t. What is t rounded to the nearest 100?\n | 600\n | ibivibiv/math_instruct | |
In base 2, what is -1111101100101 - 11?\n | -1111101101000\n | ibivibiv/math_instruct | |
What is k in -5*k**5 - 2675*k**4 + 2815*k**3 + 72495*k**2 + 72090*k - 144720 = 0?\n | -536, -3, 1, 6\n | ibivibiv/math_instruct | |
Let c = -887 + 894. Solve -w = -c*w - 30 for w.\n | -5\n | ibivibiv/math_instruct | |
Put 4, 3, -10, -4, 33 in increasing order.\n | -10, -4, 3, 4, 33\n | ibivibiv/math_instruct | |
Does 7 divide 8274?\n | True\n | ibivibiv/math_instruct | |
Let h(o) = o**3 - 13*o**2 + 14*o - 15. Calculate the remainder when 37 is divided by h(12).\n | 1\n | ibivibiv/math_instruct | |
What is the derivative of -982*y**3 - 917*y**3 - 918*y**3 - 3338 - 1957*y**3 wrt y?\n | -14322*y**2\n | ibivibiv/math_instruct | |
Solve -b + 3*t = 23, 0 = 2*b + 44*t - 46*t + 10 for b.\n | 4\n | ibivibiv/math_instruct | |
Let h = -38 - -37.23. Let u = -2.23 + h. What is the nearest to 2/3 in -0.5, -1, u?\n | -0.5\n | ibivibiv/math_instruct | |
Expand (-3 + 0 + 0)*(0 + 2*g + 0) - 788*g - 8*g - 151*g.\n | -953*g\n | ibivibiv/math_instruct | |
Solve b - 24 = -5*n, 5*b = 2*n + 84 - 99 for n.\n | 5\n | ibivibiv/math_instruct | |
Let p(l) = 3*l**2 + 5*l - 58. Let r be ((-56)/40 + 1)/(4/(-50)). What is the remainder when 166 is divided by p(r)?\n | 40\n | ibivibiv/math_instruct | |
Simplify (q**(-9))**(-50)/(q**(-2/21)*q/(q/(q**(-2/19)/q))) assuming q is positive.\n | q**(180029/399)\n | ibivibiv/math_instruct | |
b"What is the oth term of -9, 4, 27, 60, 103?\n" | 5*o**2 - 2*o - 12\n | ibivibiv/math_instruct | |
Solve 29*g - 75 + 387 - 80 = 0 for g.\n | -8\n | ibivibiv/math_instruct | |
What is prob of sequence nin when three letters picked without replacement from {b: 5, i: 2, j: 1, c: 4, q: 1, n: 2}?\n | 2/1365\n | ibivibiv/math_instruct | |
Suppose 14*c = 63 - 21. Suppose -c*v + 3*w + 2309 = -2*w, -2*w = v - 755. Is v composite?\n | True\n | ibivibiv/math_instruct | |
Is 259495945 a composite number?\n | True\n | ibivibiv/math_instruct | |
In base 4, what is 11 - 230?\n | -213\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Question #76df0
Dec 18, 2016
The equation would be $y = m x + b$
#### Explanation:
B is the y intercept, the point of the line that touches some part of the y-axis.
M is the slope (rise over run). You find it by pluggi... | The equation of a straight line is represented as y = mx + b, where m represents the slope or gradient of the line, b denotes the y-intercept which is the value of y when x equals zero, and (x, y) are coordinates on the line. To understand this equation better, let us examine its components more closely.
The slope m,... | ibivibiv/math_instruct | |
Find the common denominator of -5/48 and 35/103626.\n | 829008\n | ibivibiv/math_instruct | |
What is the value of (3/6)/(((-18)/12)/3)?\n | -1\n | ibivibiv/math_instruct | |
What is 402104 to the power of 1/9, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from nnznnzzznnzznnbnn. What is prob of sequence zznz?\n | 5/238\n | ibivibiv/math_instruct | |
What is the nearest to 36.386 in -1/4, 3, -1/8, -0.4?\n | 3\n | ibivibiv/math_instruct | |
-125 divided by -25\n | 5\n | ibivibiv/math_instruct | |
What is the cube root of 224979 to the nearest integer?\n | 61\n | ibivibiv/math_instruct | |
What is 5 times -1.266?\n | -6.33\n | ibivibiv/math_instruct | |
Let g(m) = m**2 + 8*m + 1. Let t be g(-8). Let f(r) = t + 4*r - 2*r - 3. What is f(4)?\n | 6\n | ibivibiv/math_instruct | |
Let t = 106 + -36. Let w = t + 93. Is w a composite number?\n | False\n | ibivibiv/math_instruct | |
What is prob of picking 2 l when two letters picked without replacement from lflfllfq?\n | 3/14\n | ibivibiv/math_instruct | |
Solve -288*r + 16985 = -15*r - 1306 for r.\n | 67\n | ibivibiv/math_instruct | |
Collect the terms in -30 - 2096*b**3 - 19014*b**3 + 36 - 6.\n | -21110*b**3\n | ibivibiv/math_instruct | |
What is the value of 10/((-25)/5)*1?\n | -2\n | ibivibiv/math_instruct | |
Calculate (2/(-40))/((105/60)/(-7)).\n | 1/5\n | ibivibiv/math_instruct | |
Let b be 2 + -5 - (-6 - -4). Let a be b/(0 + (-2)/418). What is the greatest common factor of a and 19?\n | 19\n | ibivibiv/math_instruct | |
Is 246229499 prime?\n | True\n | ibivibiv/math_instruct | |
Calculate the remainder when 177 is divided by 18.\n | 15\n | ibivibiv/math_instruct | |
What are the prime factors of 7753?\n | 7753\n | ibivibiv/math_instruct | |
Let w(t) = -45*t**3 + 125*t - 35. Let d(k) = -5*k**3 + 14*k - 4. Let q(n) = 35*d(n) - 4*w(n). What is the second derivative of q(o) wrt o?\n | 30*o\n | ibivibiv/math_instruct | |
Is 41520371 prime?\n | True\n | ibivibiv/math_instruct | |
b"What is the vth term of -16, -95, -294, -667, -1268, -2151, -3370, -4979?\n" | -9*v**3 - 6*v**2 + 2*v - 3\n | ibivibiv/math_instruct | |
Simplify (q**(-1/10)*q**(-43))**(-6) assuming q is positive.\n | q**(1293/5)\n | ibivibiv/math_instruct | |
Let a = 3701519/7 + -525398. Let i = a + -3397. What is the common denominator of -7/5 and i?\n | 35\n | ibivibiv/math_instruct | |
What are the prime factors of 778158?\n | 2, 3, 17, 2543\n | ibivibiv/math_instruct | |
What are the prime factors of 6673467467?\n | 6673467467\n | ibivibiv/math_instruct | |
Let y(x) = 17*x - 18. Let w be y(3). Let c be (-6)/w - (-285)/55. Solve -2*a = 4 + 2, 27 = -3*u - c*a for u.\n | -4\n | ibivibiv/math_instruct | |
Is -589/69 less than or equal to -10?\n | False\n | ibivibiv/math_instruct | |
What is the value of 11 + (-67 - -23) + -5?\n | -38\n | ibivibiv/math_instruct | |
Amanda’s garden contains 20 flowers and Peter’s garden contains three times as many flowers as Amandas. If Peter gave 15 flowers to his brother, how many flowers are left in his garden? | Amanda's garden contains 20 flowers.
Peter's garden has three times as many flowers as Amanda's, so Peters garden has 3 * 20 = 60 flowers.
Peter gave 15 flowers to his brother, so he has 60 - 15 = 45 flowers left in his garden.
#### 45
The answer is: 45 | ibivibiv/math_instruct | |
Suppose l = 5 - 3. Suppose l*v = -3*x - 4, x - 13 = -3*x + v. Suppose -5 - 7 = 3*p. Which is the third biggest value? (a) x (b) 0.4 (c) p (d) -2/5\n | d\n | ibivibiv/math_instruct | |
Let y(k) be the second derivative of 287*k**3/3 - 438*k**2 + 452*k. What is the first derivative of y(g) wrt g?\n | 574\n | ibivibiv/math_instruct | |
Suppose 5*u - 10415 - 5735 = 3*o, 5*u - 16190 = -5*o. What is the units digit of u?\n | 3\n | ibivibiv/math_instruct | |
Let h(g) = -4*g + 26. Calculate h(14).\n | -30\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 66232 and 34090.\n | 2318120\n | ibivibiv/math_instruct | |
What is -0.33549735 rounded to one dp?\n | -0.3\n | ibivibiv/math_instruct | |
Calculate 19.4 - -16.095789.\n | 35.495789\n | ibivibiv/math_instruct | |
b"What is the cth term of 586, 882, 1178, 1474, 1770?\n" | 296*c + 290\n | ibivibiv/math_instruct | |
Convert -11 (base 3) to base 2.\n | -100\n | ibivibiv/math_instruct | |
Let j = 3 - -90. Let n = j - 65. Let d be (-1)/((n/2)/2). Which is the closest to d? (a) -1 (b) 4 (c) 0.5\n | c\n | ibivibiv/math_instruct | |
What is the third biggest value in -460, -0.1, -454/61, 1/4?\n | -454/61\n | ibivibiv/math_instruct | |
Convert -241030 (base 5) to base 10.\n | -8890\n | ibivibiv/math_instruct | |
List the prime factors of 7209978.\n | 2, 3, 131, 9173\n | ibivibiv/math_instruct | |
How many centuries are there in one tenth of a millennium?\n | 1\n | ibivibiv/math_instruct | |
Let o(j) = 2*j**3 + 4*j**2 + 1. Suppose -11*s + 9*s + 4 = -f, 3*f = 12. Suppose 15*v + 38 = -s*v. Let p(c) = -c**3 - 2*c**2 - 1. What is v*o(b) - 5*p(b)?\n | b**3 + 2*b**2 + 3\n | ibivibiv/math_instruct | |
Let z(b) be the third derivative of b**5/60 - b**4/24 + 5*b**3/3 + 10*b**2. What is the tens digit of z(0)?\n | 1\n | ibivibiv/math_instruct | |
Suppose 2*t + t - 2*s = -53, 3*t + 2*s = -73. Let u be (1 - (-54)/8)*4. Let i = u + t. What is the greatest common factor of 40 and i?\n | 10\n | ibivibiv/math_instruct | |
How many minutes are there between 11:44 PM and 4:09 AM?\n | 265\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 m, 1 b, and 1 y when four letters picked without replacement from mymbm.\n | 3/5\n | ibivibiv/math_instruct | |
What are the prime factors of 79561?\n | 79561\n | ibivibiv/math_instruct | |
Expand (4*v + 0*v - 5*v + (2 - 3 + 0)*(2*v - 3*v + 3*v))*(-160*v + 3*v**2 + 84*v + 89*v - 5).\n | -9*v**3 - 39*v**2 + 15*v\n | ibivibiv/math_instruct | |
Let n = -18 + 12. Let c(j) = j**2 + 5*j + 6. Is c(n) a multiple of 9?\n | False\n | ibivibiv/math_instruct | |
Let n(w) = 11*w + 17. Let r(d) = -2*d - 3. What is -6*n(g) - 34*r(g)?\n | 2*g\n | ibivibiv/math_instruct | |
-745 (base 16) to base 3\n | -2112221\n | ibivibiv/math_instruct | |
Let j be (-616)/(-2772)*4/(-14)*(-276)/(-16). Which is greater: j or 0?\n | 0\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 7161383 and 2458.\n | 1229\n | ibivibiv/math_instruct |
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