instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Put -1/4, 2/17, 124, 0 in increasing order.\n | -1/4, 0, 2/17, 124\n | ibivibiv/math_instruct | |
What is the thousands digit of 1084029873?\n | 9\n | ibivibiv/math_instruct | |
Suppose -12*m - 400 + 1012 = 0. Suppose -10 = 49*g - m*g. Suppose -g*c = -38 + 8. Solve -c*a = -a - 5 for a.\n | 1\n | ibivibiv/math_instruct | |
If Ivy baked 20 cupcakes in the morning and then baked fifteen more cupcakes in the afternoon than she did in the morning, what is the total number of cupcakes she baked? | Ivy baked 20 cupcakes in the morning.
In the afternoon, she baked 15 more cupcakes than she did in the morning, so she baked 20 + 15 = 35 cupcakes.
The total number of cupcakes she baked is 20 + 35 = 55 cupcakes.
#### 55
The answer is: 55 | ibivibiv/math_instruct | |
What is ((6 - 12) + (-20 - (-8 - 13)) - -88) + -13?\n | 70\n | ibivibiv/math_instruct | |
Let i(w) = -9*w**2 + w - 2. Let n(s) = -s + 2. Let r(q) = i(q) + n(q). Let c(h) = -7*h. What is r(c(v))?\n | -441*v**2\n | ibivibiv/math_instruct | |
Simplify 6*(sqrt(91)*1)/sqrt(7).\n | 6*sqrt(13)\n | ibivibiv/math_instruct | |
Let c = -4423/3 - -1475. Let 2/3*p**4 + 2*p**3 + 4/3*p + 0 - c*p**5 - 10/3*p**2 = 0. Calculate p.\n | -2, 0, 1\n | ibivibiv/math_instruct | |
Sum 2 and 202383123.\n | 202383125\n | ibivibiv/math_instruct | |
Let s = -40 - -44. Suppose 4*t + 3*y = 12, -t + s*t + 5*y = -2. Solve j + z = -t, -5*z + 2 = 2*j - 5*j for j.\n | -4\n | ibivibiv/math_instruct | |
Find the third derivative of -3*t**6 - 3*t**2 - 5 - 4*t**2 + 5 wrt t.\n | -360*t**3\n | ibivibiv/math_instruct | |
Calculate the common denominator of ((-123)/4)/(3*(-98 - 14)) and -113/1568.\n | 3136\n | ibivibiv/math_instruct | |
Find the second derivative of r + 7*r**5 + 2*r**5 - 2*r**5 wrt r.\n | 140*r**3\n | ibivibiv/math_instruct | |
Find r, given that 8458139090944*r**2/5 + 191947008*r/5 + 1089/5 = 0.\n | -33/2908288\n | ibivibiv/math_instruct | |
Calculate the common denominator of 16/7545 and 44/1005.\n | 505515\n | ibivibiv/math_instruct | |
-1 - 32.18772\n | -33.18772\n | ibivibiv/math_instruct | |
Does 84 divide 11687?\n | False\n | ibivibiv/math_instruct | |
Let g = 23 - -50. Let j = g - 64. Let o(b) = -4*b**2 - 11*b**3 + 3*b**3 + j*b**3 - 2*b. Calculate o(5).\n | 15\n | ibivibiv/math_instruct | |
Let i = 5 + -2. Suppose 0 = 2*x + i*x - 175. Let o = x - 15. What is the greatest common divisor of 10 and o?\n | 10\n | ibivibiv/math_instruct | |
Let l = -0.0067 + -0.0222. What is l rounded to 3 dps?\n | -0.029\n | ibivibiv/math_instruct | |
In base 16, what is -31 + -157?\n | -188\n | ibivibiv/math_instruct | |
What is the hundreds digit of 12764?\n | 7\n | ibivibiv/math_instruct | |
Evaluate 4 - (5 + -2) - 4 - (1 + 4).\n | -8\n | ibivibiv/math_instruct | |
Put -1, -2, 98, 17, -5, 1 in ascending order.\n | -5, -2, -1, 1, 17, 98\n | ibivibiv/math_instruct | |
What is 0.00475988 rounded to four dps?\n | 0.0048\n | ibivibiv/math_instruct | |
What is 0.4729 rounded to 2 decimal places?\n | 0.47\n | ibivibiv/math_instruct | |
b"What is the dth term of -20, -45, -84, -137, -204, -285, -380?\n" | -7*d**2 - 4*d - 9\n | ibivibiv/math_instruct | |
Simplify -5 + -1*sqrt(19) + sqrt(209)/sqrt(99).\n | -5 - 2*sqrt(19)/3\n | ibivibiv/math_instruct | |
What is 1812 rounded to the nearest 100?\n | 1800\n | ibivibiv/math_instruct | |
Simplify (sqrt(24)/sqrt(8) + sqrt(3))*5 + (sqrt(3) - (-5 + sqrt(9)/sqrt(3))) + (sqrt(21)*-5)/sqrt(7) + (sqrt(108) + 1)**2.\n | 17*sqrt(3) + 114\n | ibivibiv/math_instruct | |
Suppose -468 = -20*o - 20*o + 14*o. Solve 0 = -o*y + 236 - 146 for y.\n | 5\n | ibivibiv/math_instruct | |
Simplify ((m**2*m)/(m/(m**(-3)*m)))/(m**1)**40 assuming m is positive.\n | m**(-40)\n | ibivibiv/math_instruct | |
Let k(w) = -4*w**2 + 69. Let p(v) = -81929*v. Determine k(p(q)).\n | -26849444164*q**2 + 69\n | ibivibiv/math_instruct | |
Suppose -3*l + 5*l + 2 = 2*f, -f = 5*l - 1. Let g = l - -17. What is the second derivative of r**5 - g*r**5 + 25*r - 6*r wrt r?\n | -320*r**3\n | ibivibiv/math_instruct | |
Suppose 4*y - 344 = r, -17 - 51 = -y - 2*r. What is the highest common factor of 7672 and y?\n | 28\n | ibivibiv/math_instruct | |
9365 (base 16) to base 2\n | 1001001101100101\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -15 (b) -0.18 (c) -1 (d) 8 (e) 9 (f) 0\n | d\n | ibivibiv/math_instruct | |
What is -0.00044976202 rounded to 6 decimal places?\n | -0.00045\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 1692 and 385495692.\n | 564\n | ibivibiv/math_instruct | |
26 + -26 + (-1 - -6) + -12\n | -7\n | ibivibiv/math_instruct | |
What is the value of ((7 - 7) + 13 - 22) + -2?\n | -11\n | ibivibiv/math_instruct | |
Suppose -20*j = -17*j. Suppose -3*h + 24 + 18 = j. What is the tens digit of h?\n | 1\n | ibivibiv/math_instruct | |
Factor -101461*d**2 + 14931*d - 12685809 - 1764191 + 2069*d + 101456*d**2.\n | -5*(d - 1700)**2\n | ibivibiv/math_instruct | |
Let z(q) be the third derivative of -7/6*q**3 - 17*q**2 + 0*q + 1/24*q**4 + 0. Determine z(6).\n | -1\n | ibivibiv/math_instruct | |
Let a(d) = 2*d**3 + 48 + 4*d - 43 - 7*d**2 - 3*d - d**3. Determine a(7).\n | 12\n | ibivibiv/math_instruct | |
Which is bigger: 0 or 526/95477?\n | 526/95477\n | ibivibiv/math_instruct | |
Let j = -0.04 - -1.74. Let i = 6.7 + -6.4. Let t = j - i. What is the nearest to -1 in 0.1, 0, t?\n | 0\n | ibivibiv/math_instruct | |
Suppose -10*z + 35 = -65. Let i be ((-8)/z)/((-957)/(-955) - 1). Are -381 and i nonequal?\n | True\n | ibivibiv/math_instruct | |
Let f(q) = q**3 - 4*q**2 + 3*q - 2. Let y be f(3). Let h = 2 + y. Let k = -2/131 + 397/262. Which is the biggest value? (a) k (b) 1 (c) h\n | a\n | ibivibiv/math_instruct | |
What is 1.954604 grams in nanograms?\n | 1954604000\n | ibivibiv/math_instruct | |
What is 189 times 2441?\n | 461349\n | ibivibiv/math_instruct | |
Let f(w) = -w**2 - 6*w - 1. Calculate the remainder when 20 is divided by f(-4).\n | 6\n | ibivibiv/math_instruct | |
What comes next: -327, -661, -949, -1191, -1387, -1537?\n | -1641\n | ibivibiv/math_instruct | |
What is the second biggest value in 1, 4, -3, 25, 0.04?\n | 4\n | ibivibiv/math_instruct | |
What is 676 minutes after 10:37 AM?\n | 9:53 PM\n | ibivibiv/math_instruct | |
Express 4576*w - 2845 - 2683 + 5531 as d + g*w and give g.\n | 4576\n | ibivibiv/math_instruct | |
What is next in -125255, -250504, -375741, -500960, -626155, -751320, -876449?\n | -1001536\n | ibivibiv/math_instruct | |
What is the fifth smallest value in 2, -0.04, -0.58, 3, -2/11?\n | 3\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {r: 5, t: 14}. What is prob of sequence rttt?\n | 455/3876\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Why are free variables in systems of linear eqs used as parameter
In describing the solution of a system of linear equations with many solutions, why do we use a free variable as a parameter to describe the other variables... | The concept of free variables and leading variables arises in the context of solving systems of linear equations. These ideas are closely connected to the process of expressing a given system in reduced row echelon form (rref) using elementary row operations. To understand why free variables are used as parameters to ... | ibivibiv/math_instruct | |
-7 (base 15) to base 5\n | -12\n | ibivibiv/math_instruct | |
Solve 0*z - z = -4*f + 18, 0 = f - 2 - 3 for z.\n | 2\n | ibivibiv/math_instruct | |
Let d = 178 - 119. Factor 14*n**2 - 2*n - 4*n + 2*n**4 - d*n**3 - 52*n**3 + 101*n**3.\n | 2*n*(n - 3)*(n - 1)**2\n | ibivibiv/math_instruct | |
b"What is the fth term of -3981, -2935, -1891, -849, 191, 1229?\n" | -f**2 + 1049*f - 5029\n | ibivibiv/math_instruct | |
Let h = 315.435278 + -315.52. What is h rounded to two decimal places?\n | -0.08\n | ibivibiv/math_instruct | |
1546 (base 9) to base 15\n | 536\n | ibivibiv/math_instruct | |
Let k(c) = c + 11. Let v be k(-9). Let f(b) = b**2 + b. Calculate the remainder when (1*v)/((-16)/(-368)) is divided by f(-4).\n | 10\n | ibivibiv/math_instruct | |
Let p = 333 - 334. Let j(t) be the first derivative of t**4/4 - t**3/6 + t + 2. Let h(d) be the first derivative of j(d). What is h(p)?\n | 4\n | ibivibiv/math_instruct | |
Suppose 2*d = 3*j - 3*d - 7, -j + 2 = -2*d. Suppose 0 = -3*l + j*l - 4. Suppose 9*q + 35 = l*q. Is q equal to -28/5?\n | False\n | ibivibiv/math_instruct | |
Suppose -72*w = -70*w - 3542. Let g(s) = -w*s + 0 - 1 + 1772*s. Let i(r) be the second derivative of 5*r**3/3 - 7*r**2/2 + 3*r. Determine -5*g(t) + i(t).\n | 5*t - 2\n | ibivibiv/math_instruct | |
Let o be -3 + 6 - (-110)/4*(-6)/(-5). Solve 0 = -o*b + b + 35 for b.\n | 1\n | ibivibiv/math_instruct | |
Let m(v) = 3*v + 1. Let d(w) = -139*w + 6. Give -d(k) + 4*m(k).\n | 151*k - 2\n | ibivibiv/math_instruct | |
What is next in 9273, 18556, 27841, 37128, 46417?\n | 55708\n | ibivibiv/math_instruct | |
Solve 913*r - 918*r + 120 = 0, -2*v - 6*r = -140 for v.\n | -2\n | ibivibiv/math_instruct | |
Put 4, 3.5, 0.3, -2/9, -2/5 in ascending order.\n | -2/5, -2/9, 0.3, 3.5, 4\n | ibivibiv/math_instruct | |
Collect the terms in -156*a + 79*a + 70*a.\n | -7*a\n | ibivibiv/math_instruct | |
What are the prime factors of 2913?\n | 3, 971\n | ibivibiv/math_instruct | |
Does -944532 = -944540?\n | False\n | ibivibiv/math_instruct | |
Let w(p) = p - 1. Let d(a) = -28*a + 12. Let t(q) = 9*q - 4. Let o(x) = -5*d(x) - 16*t(x). Let i(y) = -o(y) - 6*w(y). Let n = -12 - -15. Calculate i(n).\n | -4\n | ibivibiv/math_instruct | |
Let p(i) = -7*i**2 - i + 1. Let c be (8 - 7) + -10 + 1. Let b(m) = m**3 + 9*m**2 + 7*m - 7. Let w be b(c). Determine p(w).\n | -7\n | ibivibiv/math_instruct | |
Suppose -4*q + 17 = -3*l + 2*l, 0 = -5*l - q + 20. Calculate the lowest common multiple of (-163 + -1)/(15/l - 7) and (4 + 2/(-3))*(-9)/(-6).\n | 410\n | ibivibiv/math_instruct | |
Put 4668, -29, -4, 0, -59 in increasing order.\n | -59, -29, -4, 0, 4668\n | ibivibiv/math_instruct | |
b"What is the qth term of 92319348, 184638693, 276958038, 369277383, 461596728, 553916073?\n" | 92319345*q + 3\n | ibivibiv/math_instruct | |
Suppose -9*p + 30 = -3*p. Suppose 2*z - 11 + 3 = -3*d, -p*z = 3*d - 20. Suppose d = f + 1, 3*h + 3*f = 8*f + 11. What is the units digit of h?\n | 2\n | ibivibiv/math_instruct | |
63181 divided by -3\n | -63181/3\n | ibivibiv/math_instruct | |
Suppose 3*i - 186 = 5*o + 164, 5*o = -5*i - 390. Let x = o + 121. Is 8 a factor of x?\n | True\n | ibivibiv/math_instruct | |
Let y(k) = k**2 - 2307*k + 54555. Give y(24).\n | -237\n | ibivibiv/math_instruct | |
Is 124901367 a multiple of 1018?\n | False\n | ibivibiv/math_instruct | |
Let d = 146 - 145.6. Which is the closest to 0? (a) d (b) -0.5 (c) 3/2\n | a\n | ibivibiv/math_instruct | |
Determine f so that 0*f**2 + f**3 - 1/2*f**5 + 0 + 0*f - 1/2*f**4 = 0.\n | -2, 0, 1\n | ibivibiv/math_instruct | |
Solve -27*l**3/4 + 5091*l**2/4 + 18429*l - 19695 = 0.\n | -130/9, 1, 202\n | ibivibiv/math_instruct | |
What is the value of ((-15)/420)/((-1218)/(-364) + -4 + (-4)/(-26))?\n | 1/14\n | ibivibiv/math_instruct | |
Let r be -4 + (-1988)/(-426) + 4/(-6). Which is the nearest to r? (a) 1 (b) 0 (c) -3/13 (d) 1/5\n | b\n | ibivibiv/math_instruct | |
Let n = -52305/14 + 3739. Suppose -22*m + 25*m - 19869 = 0. Let u = m + -145627/22. Calculate the common denominator of u and n.\n | 154\n | ibivibiv/math_instruct | |
Let x = 657317/3246 - 1/1623. Suppose 606 = -4*g - 146. Let r = g + x. Calculate the common denominator of r and 21/32.\n | 32\n | ibivibiv/math_instruct | |
Suppose -a = 2*a - 645. Let r = a + -307. Let y = -69 - r. What is the remainder when y is divided by 12?\n | 11\n | ibivibiv/math_instruct | |
Calculate (3 - 7 - 4) + (12 - 20) + 2.\n | -14\n | ibivibiv/math_instruct | |
Suppose -121*a + 126*a - 1870 = 0. Calculate the lowest common multiple of a and 110.\n | 1870\n | ibivibiv/math_instruct | |
Do -22375287 and -111876428/5 have different values?\n | True\n | ibivibiv/math_instruct | |
Convert -814b7 (base 16) to base 12.\n | -216587\n | ibivibiv/math_instruct |
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