instruction_seed
stringlengths
5
2.9k
response_seed
stringlengths
3
9.55k
input
stringclasses
1 value
_source
stringclasses
1 value
Does 27 divide 2486422?\n
False\n
ibivibiv/math_instruct
Calculate prob of sequence bbw when three letters picked without replacement from {q: 12, w: 3, b: 2}.\n
1/680\n
ibivibiv/math_instruct
Let c be (6/(-9))/((-22)/165). Is c not equal to 12?\n
True\n
ibivibiv/math_instruct
Which is the third smallest value? (a) 0.5 (b) -5/4 (c) 3/443 (d) 18\n
a\n
ibivibiv/math_instruct
Let o(v) be the first derivative of v**4/4 - 3*v**3 + 13*v**2/2 - 12*v - 3. Suppose -3*x + 2*x = -8. Is 14 a factor of o(x)?\n
True\n
ibivibiv/math_instruct
b"What is the qth term of 33816398, 33816400, 33816402?\n"
2*q + 33816396\n
ibivibiv/math_instruct
b"What is the ith term of 103, 209, 315, 421, 527?\n"
106*i - 3\n
ibivibiv/math_instruct
In base 4, what is -10 + 21131100231?\n
21131100221\n
ibivibiv/math_instruct
What is the value of (-45558)/(-420)*-1 - 450/125 - (-2)/28?\n
-112\n
ibivibiv/math_instruct
Let x be (-5)/(-3 - (-3 - -1)). Suppose -2*w - 3*d + 3 = 4, -2*w + 23 = -x*d. Calculate the lowest common multiple of 4 and w.\n
4\n
ibivibiv/math_instruct
Suppose -4*s - 3*k + 753 = 760, 4*s - 5*k - 33 = 0. Let o(h) be the third derivative of -1/6*h**3 + 0 + 0*h + 1/24*h**4 - 31*h**s. What is o(-7)?\n
-8\n
ibivibiv/math_instruct
Let -5*g**3 + 1140*g**2 - 1125*g - 2270 = 0. Calculate g.\n
-1, 2, 227\n
ibivibiv/math_instruct
Put -2, -9, 1, 5, 1437 in decreasing order.\n
1437, 5, 1, -2, -9\n
ibivibiv/math_instruct
Sort -3, 0, 5, -5, -19 in descending order.\n
5, 0, -3, -5, -19\n
ibivibiv/math_instruct
What is the units digit of 21745405?\n
5\n
ibivibiv/math_instruct
Let r(d) = 9 + 3 + 1 - d. Let p be r(13). Suppose k - 3*k + 382 = p. Is k prime?\n
True\n
ibivibiv/math_instruct
How many minutes are there between 12:58 PM and 9:00 PM?\n
482\n
ibivibiv/math_instruct
Let i(l) = 17*l - 12. Calculate the remainder when i(3) is divided by 21.\n
18\n
ibivibiv/math_instruct
Put 4, -0.027, -2, -1/2, -2.2 in descending order.\n
4, -0.027, -1/2, -2, -2.2\n
ibivibiv/math_instruct
Is 986141025 bigger than 986141025?\n
False\n
ibivibiv/math_instruct
Suppose v = -0*v - 3*r - 15, 4*v - 5*r = 25. Let j(p) = v*p - 3 - 3*p + 7*p. Give j(2).\n
5\n
ibivibiv/math_instruct
Let x be -7 + 6 + 6/2. Suppose -x*i - 5 = -l - i, -i = 5*l - 19. Let m = -13 - -21. What is the remainder when m is divided by l?\n
0\n
ibivibiv/math_instruct
What is 388 minutes before 12:28 AM?\n
6:00 PM\n
ibivibiv/math_instruct
Simplify ((((d*d**5)/(d*d/((d*d*d**(2/7)*d)/d)))/((d**1*d*d*d)/d*d)**(4/25))**(-14))**46 assuming d is positive.\n
d**(-90896/25)\n
ibivibiv/math_instruct
What is the hundred thousands digit of 101885?\n
1\n
ibivibiv/math_instruct
Let p(w) = 2*w + 6*w**3 + 0*w + w**3 - 2 - 9*w**3 + 2*w**2 + 3*w**3. Let v(n) = -n**3 - n**2. Calculate p(x) + 2*v(x).\n
-x**3 + 2*x - 2\n
ibivibiv/math_instruct
Let x be (-78)/(-182) + 18/7 + 1. Solve 2*u + x = 3*h, -3*h + 2 = 3*u - 7*u for h.\n
2\n
ibivibiv/math_instruct
Let k = 0.4299778 + -581.4042778. Let v = 581 + k. Round v to 3 dps.\n
0.026\n
ibivibiv/math_instruct
Is 13 a factor of 4472344?\n
False\n
ibivibiv/math_instruct
Suppose 0 = -4*m + 3*i - 5*i - 598, -5*i = -5. Find the common denominator of ((-2)/8)/(1/73) and 61/(-5)*m/(-480).\n
16\n
ibivibiv/math_instruct
Let r = -2 + 4. Let f(b) = -b**3 + 7*b**2 + b - 7. Let x be f(7). Suppose x*m = -2*m + 24. Calculate the greatest common divisor of m and r.\n
2\n
ibivibiv/math_instruct
Rearrange -87*d**2 - 113*d**2 - 478*d**2 to the form k*d + p*d**2 + b and give p.\n
-678\n
ibivibiv/math_instruct
Which is the closest to 0.2? (a) 3 (b) -1.3 (c) -5 (d) 5\n
b\n
ibivibiv/math_instruct
What comes next: 2715637, 2715701, 2715765, 2715829, 2715893, 2715957?\n
2716021\n
ibivibiv/math_instruct
Does 29 divide 374624407?\n
True\n
ibivibiv/math_instruct
Is 3188651 a multiple of 552?\n
False\n
ibivibiv/math_instruct
Sum -6275281 and 5.\n
-6275276\n
ibivibiv/math_instruct
Expand (-1406*o - 146 + 228*o + 146)*(-2 + 5 - 1).\n
-2356*o\n
ibivibiv/math_instruct
Simplify (sqrt(308)/(sqrt(11) - sqrt(11)*4*-6))/((sqrt(256) - sqrt(256)*5)*-1).\n
sqrt(7)/800\n
ibivibiv/math_instruct
Calculate the highest common factor of 22548 and 24.\n
12\n
ibivibiv/math_instruct
Let s = -1200.2 + 1200.1. Let r = -0.24 + -9.76. What is the nearest to s in 10, r, -5?\n
-5\n
ibivibiv/math_instruct
Let a = -0.19999968 - -0.2. What is a rounded to seven decimal places?\n
0.0000003\n
ibivibiv/math_instruct
Solve 2888 + 2/3*q**5 + 3662/3*q**3 + 20672/3*q + 5170*q**2 + 54*q**4 = 0.\n
-38, -3, -1\n
ibivibiv/math_instruct
Is 10784005 composite?\n
True\n
ibivibiv/math_instruct
Sort 1/3, 10, 0.35, -4, -6 in descending order.\n
10, 0.35, 1/3, -4, -6\n
ibivibiv/math_instruct
Let z(i) = -778 + 255 - 15*i + 253 + 246 + 0*i**2 - i**2. Let t be z(-11). Solve -5*a + t = -a for a.\n
5\n
ibivibiv/math_instruct
What is the value of ((-2)/(-5))/((-5)/((-250)/(-10)))?\n
-2\n
ibivibiv/math_instruct
Calculate 0.013*0.03884.\n
0.00050492\n
ibivibiv/math_instruct
Solve y + 3*v - 5 = 0, -2*y - 8 = -5*y - 2*v for y.\n
2\n
ibivibiv/math_instruct
Is 1402000333 a prime number?\n
True\n
ibivibiv/math_instruct
Calculate the common denominator of 151/2400 and 167/18720.\n
93600\n
ibivibiv/math_instruct
Solve s - 11 = -2*z, -2*s - 23368 = -7*z - 23335 for z.\n
5\n
ibivibiv/math_instruct
Let a be (-6)/(-21) + (-1251)/(-7). Suppose 4*x - 29 = a. What is the remainder when x is divided by 18?\n
16\n
ibivibiv/math_instruct
Let y = 441 + -3078/7. Suppose -1/7 + 3/7*k**3 - 23/7*k**2 + y*k + 36/7*k**4 = 0. Calculate k.\n
-1, 1/4, 1/3\n
ibivibiv/math_instruct
Is (-3)/(-21)*-1 - ((-23350707)/63 + -3) composite?\n
True\n
ibivibiv/math_instruct
Calculate 1824 divided by -1.\n
-1824\n
ibivibiv/math_instruct
Let o(b) = b**3 - b**2 - 4*b + 1. Suppose 0 = -l - 3*a - a - 33, 3*a = 0. Let j = l - -36. Give o(j).\n
7\n
ibivibiv/math_instruct
Suppose 0*w - 23*w + 54 = -5*w. Solve -i - w*o = -12, 40 = -5*i - o + 6*o for i.\n
-3\n
ibivibiv/math_instruct
Let v be 24/20*15/6. Suppose 0 = -v*c - c + 64. Is c a multiple of 8?\n
True\n
ibivibiv/math_instruct
Which is bigger: -0.2 or 20.17?\n
20.17\n
ibivibiv/math_instruct
Simplify (q*q**(2/7))/(q*q**(-3/4)*q)*(q*q**5/q)/q**(1/2)*q*q**(-7)*q/q**(3/7)*(q**(-3)*q)/q**2 assuming q is positive.\n
q**(-137/28)\n
ibivibiv/math_instruct
Factor -y**4/2 + y**3 + y**2/2 - y.\n
-y*(y - 2)*(y - 1)*(y + 1)/2\n
ibivibiv/math_instruct
Let j(n) = -4*n**3 - 3*n**2 - 2*n. Let w be j(-2). Calculate the common denominator of ((-42)/40)/(1/(-2)) and -3 + (82/w)/(-1).\n
60\n
ibivibiv/math_instruct
Solve -1970 = -21*q - 1739 for q.\n
11\n
ibivibiv/math_instruct
Which is the nearest to 3/16? (a) -0.1 (b) 1 (c) 5/6 (d) -2\n
a\n
ibivibiv/math_instruct
Is (1/1)/((-9)/(-230967)*11) prime?\n
True\n
ibivibiv/math_instruct
Which is the smallest value? (a) 2.5 (b) 15302 (c) 1/3\n
c\n
ibivibiv/math_instruct
Let z = -116/117 - -10/13. Let j = -3 + 1. What is the biggest value in j, z, -0.3?\n
z\n
ibivibiv/math_instruct
Solve 501*a = -5623 + 22156 for a.\n
33\n
ibivibiv/math_instruct
Let k be (6/(-4))/(2/(-8)). Suppose -h + 0 = -2. Suppose -2*y = 3*m - 6, -h*y = -0*y + 5*m - k. What is the units digit of y?\n
3\n
ibivibiv/math_instruct
Let c(l) = -3*l. Let i(g) = 149*g**2 - 2*g. What is i(c(s))?\n
1341*s**2 + 6*s\n
ibivibiv/math_instruct
Let x = 276611/28 - 9881. Let v = -323/52 + 58/13. Let p = v - x. Is -1 less than or equal to p?\n
True\n
ibivibiv/math_instruct
Calculate the remainder when 1999 is divided by 139.\n
53\n
ibivibiv/math_instruct
Find the common denominator of 36/665 and -26/925813.\n
4629065\n
ibivibiv/math_instruct
-941 (base 13) to base 10\n
-1574\n
ibivibiv/math_instruct
Evaluate (0 - -3 - 1 - 2) + -2.\n
-2\n
ibivibiv/math_instruct
Let t(s) = 2 - 5*s - 3*s**2 + s**2 - s**3 + 7*s**2. Let n be t(4). What is the tens digit of 66/(-9)*3/n?\n
1\n
ibivibiv/math_instruct
Multiply 5.0761 and -0.05.\n
-0.253805\n
ibivibiv/math_instruct
Find j, given that -j**4 + 11104*j**3 - 22204*j**2 = 0.\n
0, 2, 11102\n
ibivibiv/math_instruct
Express 0*z**4 + 9*z**4 + 0*z**4 + (-2501*z**3 - 36*z**4 + 2501*z**3)*(3 - 4 - 1) as h*z + i*z**3 + w*z**2 + o + q*z**4 and give q.\n
81\n
ibivibiv/math_instruct
Is 0 > 70610?\n
False\n
ibivibiv/math_instruct
Sum -3 and -14451.3.\n
-14454.3\n
ibivibiv/math_instruct
Let f be (204/153)/((-6)/(-117)). Solve -5*q = -f*q for q.\n
0\n
ibivibiv/math_instruct
b"What is the rth term of 10, 37, 64, 91?\n"
27*r - 17\n
ibivibiv/math_instruct
Let d = 0.81 - 0.8. Let n = d + 4.99. Which is the third smallest value? (a) -2 (b) -0.07 (c) n\n
c\n
ibivibiv/math_instruct
Let v = -5 + 7. Let r = 138 + -80. Suppose -v*f + r = 2*t - 0*f, 5*t + 4*f = 142. Is t a multiple of 13?\n
True\n
ibivibiv/math_instruct
Calculate the highest common factor of 234 and 36426.\n
78\n
ibivibiv/math_instruct
Suppose v - 2*m = 19, 3*v + 4*m - 12 = m. What is the lowest common multiple of v and -1 - -6 - 30/(-6)?\n
90\n
ibivibiv/math_instruct
Evaluate ((-7 + 7)*2/6)/1.\n
0\n
ibivibiv/math_instruct
Which is the third smallest value? (a) 0.3 (b) -4 (c) 17599\n
c\n
ibivibiv/math_instruct
What is 171 minutes after 5:02 AM?\n
7:53 AM\n
ibivibiv/math_instruct
What is 79 - (-4 - (17 - -9) - -12 - -38)?\n
59\n
ibivibiv/math_instruct
Solve 1759*j - 1754*j = -4*r + 30, -7*j + 60 = 2*r for j.\n
10\n
ibivibiv/math_instruct
What is the highest common factor of 1689228 and 72?\n
36\n
ibivibiv/math_instruct
What comes next: -36, -267, -904, -2151, -4212, -7291, -11592?\n
-17319\n
ibivibiv/math_instruct
Suppose 40*l - 20 = 36*l. Suppose -2*o + 16 = 4*r, l*o + 0*r + 4 = r. Suppose -5*u = 2*i - 352, o = -u - 3*i + 72 - 12. What is the units digit of u?\n
2\n
ibivibiv/math_instruct
Expand (-1 + 0 + 6)*(11*k + 6*k + 22*k).\n
195*k\n
ibivibiv/math_instruct
Solve -10*g + 60 = 5*f, -81*g + 5*f - 55 = -86*g for g.\n
1\n
ibivibiv/math_instruct
Calculate the highest common divisor of 209 and 517.\n
11\n
ibivibiv/math_instruct
What is (-2 + 4)/(((-2)/(-36))/(2/(-8)))?\n
-9\n
ibivibiv/math_instruct