instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What comes next: -1044, -1508, -1980, -2460, -2948, -3444?\n | -3948\n | ibivibiv/math_instruct | |
List the prime factors of 5715.\n | 3, 5, 127\n | ibivibiv/math_instruct | |
Is 882 > 2419?\n | False\n | ibivibiv/math_instruct | |
What is 157 + 0.139?\n | 157.139\n | ibivibiv/math_instruct | |
Is 27458 a multiple of 7?\n | False\n | ibivibiv/math_instruct | |
Find the common denominator of -87/38 and -25/35042.\n | 665798\n | ibivibiv/math_instruct | |
Let l(g) = -2*g**4 + g**2 - 1. Let n(w) = -11*w**4 - 31*w**3 + 5*w**2 + 148. Let q(t) = 6*l(t) - n(t). What is the third derivative of q(o) wrt o?\n | -24*o + 186\n | ibivibiv/math_instruct | |
Let h(z) = z**3 + 2*z**2 - 4*z + 1. Let w be (-2)/(-4) + 21/(-6). Let t be h(w). Solve 5*i + 2*m - 4 = 0, -i - 2*m - t = -0*i for i.\n | 2\n | ibivibiv/math_instruct | |
Multiply 4338900 and 3.\n | 13016700\n | ibivibiv/math_instruct | |
Divide -4448 by -1.\n | 4448\n | ibivibiv/math_instruct | |
Suppose -4*d + 2*d + 24 = 5*m, -3*d - 10 = -4*m. Suppose 0*c + 12 = -5*c + 2*r, -d*c - 5*r = -1. Let o be 1/c - (-40)/(-16). Are 0.1 and o nonequal?\n | True\n | ibivibiv/math_instruct | |
Simplify (5*(sqrt(153) - ((sqrt(153) + 4)*-5 - sqrt(153))))**2 + -1 - (2*(sqrt(153) + 2) + -4*(sqrt(153)*-3)**2).\n | 20994*sqrt(17) + 202928\n | ibivibiv/math_instruct | |
Evaluate 46/(-575) + 48384/644800.\n | -2/403\n | ibivibiv/math_instruct | |
What is prob of picking 1 a, 1 l, and 1 m when three letters picked without replacement from mmiayhl?\n | 2/35\n | ibivibiv/math_instruct | |
Solve -33*r + 1089 = 4*f, -10172*f - 2*r = -10173*f - 66 for f.\n | 0\n | ibivibiv/math_instruct | |
Let y be (3 - (-1284)/(-16))/(28/(-336)). Put 1, y, 0.4 in descending order.\n | y, 1, 0.4\n | ibivibiv/math_instruct | |
Put -5, 6, -1/5 in decreasing order.\n | 6, -1/5, -5\n | ibivibiv/math_instruct | |
Let g = 0 - 3. Let u = 0 + g. Which is the biggest value? (a) 2/3 (b) 3 (c) u\n | b\n | ibivibiv/math_instruct | |
Is 329 a factor of 11669630?\n | True\n | ibivibiv/math_instruct | |
Suppose 5*z = -q + 1425 - 291, 0 = 2*z - 8. Is q even?\n | True\n | ibivibiv/math_instruct | |
Put 4, 5, 100 in decreasing order.\n | 100, 5, 4\n | ibivibiv/math_instruct | |
Convert 2.077357cm to nanometers.\n | 20773570\n | ibivibiv/math_instruct | |
Convert 746 (base 13) to base 2.\n | 10011011001\n | ibivibiv/math_instruct | |
Which is the closest to 0.1? (a) -212 (b) -783 (c) 5 (d) -0.091\n | d\n | ibivibiv/math_instruct | |
Which is smaller: 9845 or 9639?\n | 9639\n | ibivibiv/math_instruct | |
What is 90763 to the power of 1/10, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Calculate (-75)/18 + (-13)/(78/5).\n | -5\n | ibivibiv/math_instruct | |
Collect the terms in -21*v - 1 + 266*v**3 + 21*v.\n | 266*v**3 - 1\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ymyymymyyy. Give prob of sequence ym.\n | 7/30\n | ibivibiv/math_instruct | |
Is 266578183 prime?\n | False\n | ibivibiv/math_instruct | |
Put 12, -6/127, 1, 0.1, -4 in descending order.\n | 12, 1, 0.1, -6/127, -4\n | ibivibiv/math_instruct | |
Let l(i) = i**3 + 5*i**2 + 3*i - 1. Let p be l(-4). Suppose -9 = p*t - 6*t. Suppose -3*a = -8 - 4. Put t, a, -4 in increasing order.\n | -4, t, a\n | ibivibiv/math_instruct | |
(-84)/175*1*10/(-4)\n | 6/5\n | ibivibiv/math_instruct | |
Let d(w) be the second derivative of w**4/2 + 2*w**3 + 11*w**2 - w + 109. Calculate the lowest common multiple of 10 and d(7).\n | 400\n | ibivibiv/math_instruct | |
In base 15, what is 267527 + 3?\n | 26752a\n | ibivibiv/math_instruct | |
Sort 3, 5, 15, 0, 4 in descending order.\n | 15, 5, 4, 3, 0\n | ibivibiv/math_instruct | |
Calculate 456/(-44)*17/(765/(-495)).\n | 114\n | ibivibiv/math_instruct | |
What is next in -1, 2, 19, 62, 143?\n | 274\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-34.143 - -52.009) * 13.704 | 244.8357 | ibivibiv/math_instruct | |
Let t(f) be the second derivative of -f**4/3 - f**3 + 7*f**2/2 + 11*f. Let w(u) = -5*u**2 - 7*u + 8. Determine -6*t(d) + 5*w(d).\n | -d**2 + d - 2\n | ibivibiv/math_instruct | |
Let k be 862/(-72)*-6 - (-2)/12. Suppose 34*p - 11971 = -955. What is the greatest common divisor of k and p?\n | 36\n | ibivibiv/math_instruct | |
Calculate prob of sequence zhe when three letters picked without replacement from eeeehheehhheeezhhhh.\n | 9/646\n | ibivibiv/math_instruct | |
What is the common denominator of 99/72280 and 93/100?\n | 361400\n | ibivibiv/math_instruct | |
Find the second derivative of -27*m**3*s**3 + 215066*m**2*s**3 + m*s**3 - 2*m*s**2 + 2*m*s + 2873*m + 1 wrt m.\n | -162*m*s**3 + 430132*s**3\n | ibivibiv/math_instruct | |
Let h(u) = u**2. Let l(k) be the first derivative of -k**5/60 - 3*k**2/2 + 3. Let r(a) be the second derivative of l(a). Give h(r(q)).\n | q**4\n | ibivibiv/math_instruct | |
What is the second derivative of s*x**2 + 182925*s*x - 2*x**3 - 307080*x**2 + 9*x wrt x?\n | 2*s - 12*x - 614160\n | ibivibiv/math_instruct | |
Suppose -65 - 27 = 23*f. Which is the third biggest value? (a) f (b) -0.5 (c) -2/9\n | a\n | ibivibiv/math_instruct | |
Is 50 a factor of 485274?\n | False\n | ibivibiv/math_instruct | |
What is the product of -1194856 and 0.034?\n | -40625.104\n | ibivibiv/math_instruct | |
Evaluate -105 - (-24 + 11) - 47.\n | -139\n | ibivibiv/math_instruct | |
In base 7, what is -3 - 11051?\n | -11054\n | ibivibiv/math_instruct | |
Expand o - 2*o**2 - o + (-4*o + o + o)*(-3 - 2*o + 3) + (-6*o + 0*o + 4*o)*(2 - 2*o - 2).\n | 6*o**2\n | ibivibiv/math_instruct | |
Three letters picked without replacement from kkxgeasakksg. What is prob of sequence ksa?\n | 2/165\n | ibivibiv/math_instruct | |
Rearrange (-2*k + 2*k + 2*k**2)*(k - k + 2*k**2) + 2392765 + 346*k**4 - 2392769 + 252*k**4 to the form u*k**3 + g*k**4 + n*k + p + z*k**2 and give z.\n | 0\n | ibivibiv/math_instruct | |
Let j = 220 + -435/2. What is the closest to 2 in 3, -3, j?\n | j\n | ibivibiv/math_instruct | |
What is 421292 to the power of 1/3, to the nearest integer?\n | 75\n | ibivibiv/math_instruct | |
Simplify (((z*z/(z**0*z*z))**16*z**(5/3)/(z/(z*(z/(z*z**(-3/4)/z*z))/z)))**(16/5))**(-13) assuming z is positive.\n | z**(-884/15)\n | ibivibiv/math_instruct | |
Let c(u) = -4449*u**2. Let d(h) = -3290*h**2. What is d(c(i))?\n | -65120947290*i**4\n | ibivibiv/math_instruct | |
Calculate -1.8 + 0.687841.\n | -1.112159\n | ibivibiv/math_instruct | |
Let m(v) = -24*v**2 - 21*v**2 + 38*v**2 - 816 + 16*v + 822. Let f(g) = -6*g**2 + 16*g + 5. What is -6*f(q) + 5*m(q)?\n | q**2 - 16*q\n | ibivibiv/math_instruct | |
Solve -74*w - 856 + 412 = 2130 + 5788 for w.\n | -113\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 6 and 504.\n | 504\n | ibivibiv/math_instruct | |
What is next in 765, 6164, 20835, 49416, 96545?\n | 166860\n | ibivibiv/math_instruct | |
Four letters picked without replacement from illllclcccc. What is prob of sequence llcc?\n | 5/99\n | ibivibiv/math_instruct | |
Sort -1, 5, -5, 3, 2, 12 in ascending order.\n | -5, -1, 2, 3, 5, 12\n | ibivibiv/math_instruct | |
Suppose -3*f + 71 = 20. Solve -15 = 4*g - t + 6, -f = 3*g - t for g.\n | -4\n | ibivibiv/math_instruct | |
Let i(c) = c**2 + 8*c - 1. Let u be i(-8). Suppose -j = 4 - 6. Let w(t) = -t + 2*t - 4 + t**j + 3. What is w(u)?\n | -1\n | ibivibiv/math_instruct | |
How many minutes are there between 2:06 PM and 11:54 PM?\n | 588\n | ibivibiv/math_instruct | |
Rearrange (-2 + 0 + 3)*(1 - 1 - s)*(-1 - 5 + 2) to the form g*s + d and give g.\n | 4\n | ibivibiv/math_instruct | |
Calculate (-7875)/(-8400)*-2*(-2)/(-6).\n | -5/8\n | ibivibiv/math_instruct | |
Which is greater: 485556 or 485561?\n | 485561\n | ibivibiv/math_instruct | |
Let q = -109 + 102. Let f(p) = -3*p - 19. Let h be f(q). Calculate the greatest common factor of h and 32.\n | 2\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# EXPRIDE - Editorial
Contest
Setter: a0n0k0i0t
Tester: a0n0k0i0t
Editorialist: a0n0k0i0t
# PROBLEM
You are travelling on a road with two lanes A and B. You are initially at position 0. You need to reach your home at posi... | This editorial will provide a detailed explanation of how to solve the problem presented in the EXPRIDE contest, specifically focusing on the case where you do not switch lanes during your journey. We'll begin by defining essential terms and then delve into the concept of prefix and suffix sums, ultimately leading us ... | ibivibiv/math_instruct | |
What is the nearest to 1/5 in -5/4, -0.03, 4, -17?\n | -0.03\n | ibivibiv/math_instruct | |
What is the cube root of 22416697 to the nearest integer?\n | 282\n | ibivibiv/math_instruct | |
Suppose 681*p - 667*p = 3117800. Round p to the nearest 10000.\n | 220000\n | ibivibiv/math_instruct | |
Let o be 2*(3 + -2 - -1 - 6). Let s(b) = 9*b - 11. Let w(j) = 14*j - 17. Let i(f) = o*s(f) + 5*w(f). Determine i(3).\n | -3\n | ibivibiv/math_instruct | |
What is 91.86 times 0.56?\n | 51.4416\n | ibivibiv/math_instruct | |
Is 16 a factor of 73261504?\n | True\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 1902 and 12465391.\n | 317\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {r: 2, j: 2}. What is prob of picking 1 j and 1 r?\n | 2/3\n | ibivibiv/math_instruct | |
Let h be (2 - (-304)/(-52)) + (-4)/26. Let m be 7 + -10 - h - (86 - -1). Do m and -86 have the same value?\n | True\n | ibivibiv/math_instruct | |
What is the units digit of 32129?\n | 9\n | ibivibiv/math_instruct | |
Solve 9*l - 4*l + 19*c = 57 + 13, 6*c + 56 = 4*l + 3*c for l.\n | 14\n | ibivibiv/math_instruct | |
In base 13, what is a6 - 514?\n | -43b\n | ibivibiv/math_instruct | |
Let o(m) = 2*m**2 - 9*m + 9. Let j be o(5). Let v = 14 - j. What is the second derivative of 2*t**3 + 0*t**3 + v*t + 8*t - 11*t**3 wrt t?\n | -54*t\n | ibivibiv/math_instruct | |
What is the third derivative of -1303779*u**6 - 49*u**2 + 19*u + 70 wrt u?\n | -156453480*u**3\n | ibivibiv/math_instruct | |
List the prime factors of 1964.\n | 2, 491\n | ibivibiv/math_instruct | |
-117509940 divided by 290148\n | -405\n | ibivibiv/math_instruct | |
Let i = 0.0778 - 0.077801319. What is i rounded to 7 decimal places?\n | -0.0000013\n | ibivibiv/math_instruct | |
What is 557 minutes before 5:27 PM?\n | 8:10 AM\n | ibivibiv/math_instruct | |
Let d(n) = 3*n. Let w(v) = 3820349*v. Give d(w(r)).\n | 11461047*r\n | ibivibiv/math_instruct | |
What is the third derivative of -q**5 - 1813*q**3 - 37*q**2 - 17*q?\n | -60*q**2 - 10878\n | ibivibiv/math_instruct | |
Suppose -4*f - 56 - 4 = 0. Do -15 and f have the same value?\n | True\n | ibivibiv/math_instruct | |
Let 0 + 2/9*b**3 + 0*b**2 - 2/9*b = 0. What is b?\n | -1, 0, 1\n | ibivibiv/math_instruct | |
What is the third root of 124366 to the nearest integer?\n | 50\n | ibivibiv/math_instruct | |
Simplify (o**(-2/77)/o**(1/3)*o*((o*o/(o**(5/6)*o))/o)/o*o*((((o/(o*o/o**(-47/2)))/o*o)/o)/o*o*o*o)/o)**(-47) assuming o is positive.\n | o**(268088/231)\n | ibivibiv/math_instruct | |
Let k = 1405 + -835. Calculate the remainder when k is divided by 283.\n | 4\n | ibivibiv/math_instruct | |
Solve 2*f**5 - 30668*f**4 - 583292*f**3 - 1873048*f**2 - 276534*f + 2763540 = 0.\n | -15, -3, -2, 1, 15353\n | ibivibiv/math_instruct | |
What is -3419379200 rounded to the nearest 1000000?\n | -3419000000\n | ibivibiv/math_instruct |
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