instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -162 + 52 = -11*f. Does 5 divide f?\n | True\n | ibivibiv/math_instruct | |
Let t = -5 - -6. Calculate the remainder when (4/6)/(t/24) is divided by 6.\n | 4\n | ibivibiv/math_instruct | |
How many minutes are there between 1:56 AM and 9:35 AM?\n | 459\n | ibivibiv/math_instruct | |
Suppose -4*m + 29 = -63. Let n = m - 26. Let i(f) = 3*f**2 + 7*f + 6. Let x be i(n). Solve -d = 3*t - 0*d - 12, 0 = -4*d - x for t.\n | 5\n | ibivibiv/math_instruct | |
What is 3 (base 5) in base 3?\n | 10\n | ibivibiv/math_instruct | |
Is 12587 prime?\n | False\n | ibivibiv/math_instruct | |
Let m(b) be the third derivative of -1075*b**4/12 - 509*b**3/2 - 3846*b**2. What is the derivative of m(s) wrt s?\n | -2150\n | ibivibiv/math_instruct | |
Let h = 909 - 927. Let x be 8/h*54/36. Let l = -9 + 3. Which is the biggest value? (a) -2 (b) x (c) l\n | b\n | ibivibiv/math_instruct | |
Let r = 45 + 31. What is the tens digit of r?\n | 7\n | ibivibiv/math_instruct | |
Solve -3*g - 3*m = 18, 4*m - 1 + 5 = 0 for g.\n | -5\n | ibivibiv/math_instruct | |
Is 7741207 composite?\n | False\n | ibivibiv/math_instruct | |
Suppose -c - 161 = -4*u - 2*c, -5*u + 3*c + 214 = 0. Let l = 26 - u. Calculate the least common multiple of 22 and 43/2 + l/10.\n | 220\n | ibivibiv/math_instruct | |
Let l = 749 - 745. Solve l*g - d + 3 = 0, 5*d + 33 = 5*g - 9*g for g.\n | -2\n | ibivibiv/math_instruct | |
What is 3.41425ug in nanograms?\n | 3414.25\n | ibivibiv/math_instruct | |
Simplify (d**(-4))**(-45)/(d*d/((d*d**(-11/2)*d*d)/d*d))**(10/11) assuming d is positive.\n | d**(1935/11)\n | ibivibiv/math_instruct | |
Let v(k) be the first derivative of -5*k**6/6 + 9*k**5 - 35*k**4/2 - 10*k**3/3 + 75*k**2/2 - 35*k + 1057. Factor v(u).\n | -5*(u - 7)*(u - 1)**3*(u + 1)\n | ibivibiv/math_instruct | |
Let l(q) = q**3 - 5*q**2 + 135*q - 1028. Calculate l(8).\n | 244\n | ibivibiv/math_instruct | |
3504 (base 9) to base 13\n | 1249\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 2456548650 and 15.\n | 15\n | ibivibiv/math_instruct | |
Expand -8 - 11*j + 8 + (-2 + 2 + 2*j)*(-3 + 4 - 5).\n | -19*j\n | ibivibiv/math_instruct | |
Sort 0.1, -0.35, 2.5, -5, 6.\n | -5, -0.35, 0.1, 2.5, 6\n | ibivibiv/math_instruct | |
Let x = -4.09 + 0.09. Let q = -26 + 18. Let z(t) = -t**3 - 8*t**2 + 3. Let h be z(q). Which is the nearest to 1? (a) -2/13 (b) h (c) x\n | a\n | ibivibiv/math_instruct | |
Let h = 6005 + -3439. Which is bigger: 2568 or h?\n | 2568\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {t: 1, o: 3, n: 5, b: 3, s: 7}. Give prob of sequence otn.\n | 5/1938\n | ibivibiv/math_instruct | |
What is the value of ((-6)/63)/(4/(-14))?\n | 1/3\n | ibivibiv/math_instruct | |
Let d(p) = -p**3 + 5*p**2 - 6*p - 3. Let j(a) = -a**3 + 6*a**2 - 7*a - 4. Give 6*d(v) - 5*j(v).\n | -v**3 - v + 2\n | ibivibiv/math_instruct | |
Let a(i) be the third derivative of i**5/60 - i**4/12 - i**3/2 + i**2. Let j be (1 - 26/6)/((-30)/45). Is 2 a factor of a(j)?\n | True\n | ibivibiv/math_instruct | |
What is n in n**2/7 - 23*n/7 + 22/7 = 0?\n | 1, 22\n | ibivibiv/math_instruct | |
(4/(16/14))/((-22)/264*6)\n | -7\n | ibivibiv/math_instruct | |
Let a = 545 + -495. Calculate the remainder when 290 is divided by a.\n | 40\n | ibivibiv/math_instruct | |
Sort -22, 138, 31 in ascending order.\n | -22, 31, 138\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {b: 2, a: 1, q: 1, c: 4, s: 2}. What is prob of sequence qa?\n | 1/90\n | ibivibiv/math_instruct | |
Which is bigger: 246 or 187332/7?\n | 187332/7\n | ibivibiv/math_instruct | |
Suppose 4*f = z - 3*z + 40, 0 = f + z - 8. Suppose 8939 = f*j - 8413. Let m = j - -383. Is m a composite number?\n | True\n | ibivibiv/math_instruct | |
Let o(q) be the third derivative of -q**5/120 - q**4/8 + 16*q**3/3 + 36*q**2. Let a(d) be the first derivative of o(d). Determine a(-6).\n | 3\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) 3 (b) -3 (c) -1/5 (d) -2 (e) 0.0908\n | d\n | ibivibiv/math_instruct | |
Let q = -0.1 + 0.3. Let i = -159.5 - -159. What is the closest to q in 0, -0.1, i?\n | 0\n | ibivibiv/math_instruct | |
Is 5913797 composite?\n | False\n | ibivibiv/math_instruct | |
Simplify (((sqrt(21) + (sqrt(21) - sqrt(21)*-2))*4)/(sqrt(336)/sqrt(3)) + 4 + -2)**2.\n | 16*sqrt(3) + 52\n | ibivibiv/math_instruct | |
Suppose 0 = 74*n - 89*n - 30. Let t be (n/(-4) + -1)/((-15)/90). What is f in 1/5*f**5 + 46/5*f**t - 18*f**2 - 27/5 - 11/5*f**4 + 81/5*f = 0?\n | 1, 3\n | ibivibiv/math_instruct | |
What is 1426911602 to the power of 1/3, to the nearest integer?\n | 1126\n | ibivibiv/math_instruct | |
What is the second derivative of 2*h**2 - 2326990*h**3 - 11 + 2327003*h**3 - h**4 - h**2 + 51*h wrt h?\n | -12*h**2 + 78*h + 2\n | ibivibiv/math_instruct | |
Rearrange (3*h + 0*h - 5*h + (3 - 3 - 2)*(h + 0*h + 0*h) - 4*h + 3*h - 3*h - 1661 + 2*h + 1661)*(-1 + 2 - 3) to the form g*h + v and give v.\n | 0\n | ibivibiv/math_instruct | |
What comes next: -633, -632, -631?\n | -630\n | ibivibiv/math_instruct | |
Calculate the remainder when 1920 is divided by 51.\n | 33\n | ibivibiv/math_instruct | |
(5/2)/(15*(-3)/(-18))\n | 1\n | ibivibiv/math_instruct | |
Find the second derivative of -2*f*k**2*t - 563*f*k**2 - 2*f*k*t + f*k + 61*f*t - 2*f - 8*k**2*t wrt k.\n | -4*f*t - 1126*f - 16*t\n | ibivibiv/math_instruct | |
Let c(w) = w**2 + 6*w + 4. Let q = -3 - 1. Let p be c(q). Let u(l) = l**3 + 3*l**2 - 6*l - 2. Let v be u(p). Solve 2*o = 0, -2*s = -5*o + o + v for s.\n | -3\n | ibivibiv/math_instruct | |
Suppose n - 4*s = -s - 5, 2*n = s. Let r = 0.0788 - -4.9212. Which is the third biggest value? (a) r (b) -2 (c) 0.3 (d) n\n | c\n | ibivibiv/math_instruct | |
Let m = 11841 - 11841.041. Is -0.023 not equal to m?\n | True\n | ibivibiv/math_instruct | |
What is the greatest common factor of 138269 and 25351?\n | 101\n | ibivibiv/math_instruct | |
Is 447 - (-1)/(3/6) composite?\n | False\n | ibivibiv/math_instruct | |
Let m(t) = -t**3 + 14*t**2 + t - 1. Give m(14).\n | 13\n | ibivibiv/math_instruct | |
Let t = 7 + 3. Let a be ((-36)/60)/(9/(-75)). Let f(k) = k**2 + 2. Let d(y) = -1. Calculate a*f(s) + t*d(s).\n | 5*s**2\n | ibivibiv/math_instruct | |
Which is smaller: -0.0393 or 1/8?\n | -0.0393\n | ibivibiv/math_instruct | |
Convert 3093 (base 12) to base 9.\n | 7233\n | ibivibiv/math_instruct | |
Put 12, 0, 3, -14 in decreasing order.\n | 12, 3, 0, -14\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 90 and 1230.\n | 30\n | ibivibiv/math_instruct | |
b"What is the ath term of -19, -35, -51?\n" | -16*a - 3\n | ibivibiv/math_instruct | |
b"What is the qth term of 8697, 8191, 7687, 7185?\n" | q**2 - 509*q + 9205\n | ibivibiv/math_instruct | |
Let d(f) be the third derivative of -f**7/1680 + f**5/20 + 6*f**2. Let l(h) be the third derivative of d(h). Let u(q) = -q**2. Calculate u(l(a)).\n | -9*a**2\n | ibivibiv/math_instruct | |
Collect the terms in 127455 - 63720 + 0*t + 28*t**3 - 63735 + 0*t.\n | 28*t**3\n | ibivibiv/math_instruct | |
Let j(s) = 13*s - 177. Let v(g) = -14*g + 175. Let t(d) = -4*j(d) - 5*v(d). Let q be t(9). Which is the second smallest value? (a) -2/3 (b) 4 (c) q\n | a\n | ibivibiv/math_instruct | |
What is the closest to -0.37 in 39.7, 76, -0.3?\n | -0.3\n | ibivibiv/math_instruct | |
What is 115.1792 tonnes in kilograms?\n | 115179.2\n | ibivibiv/math_instruct | |
Product of 57 and -23.\n | -1311\n | ibivibiv/math_instruct | |
Let a(x) = -x**3 - 1. Let g(k) = -88*k**3 - 264. Determine -264*a(q) + g(q).\n | 176*q**3\n | ibivibiv/math_instruct | |
Calculate the remainder when 15894 is divided by 371.\n | 312\n | ibivibiv/math_instruct | |
b"What is the hth term of 5035, 10029, 15023?\n" | 4994*h + 41\n | ibivibiv/math_instruct | |
Let z(b) = 2*b**2 - 18*b + 43. Let m be z(5). Let g(j) = j**2 + 6. Let w(u) = 73 + u**2 - 4*u - 68 + 3*u. Let l(i) = -2*g(i) + 3*w(i). What is l(m)?\n | 3\n | ibivibiv/math_instruct | |
What is prob of sequence skg when three letters picked without replacement from {g: 7, s: 2, k: 2}?\n | 14/495\n | ibivibiv/math_instruct | |
What is prob of sequence twu when three letters picked without replacement from wuewtwp?\n | 1/70\n | ibivibiv/math_instruct | |
Simplify (i/(i**(1/4)/i))**(2/13)*(i*i**(2/7))/(i/((i**(5/6)/i*i)/i)*i) assuming i is positive.\n | i**(-167/273)\n | ibivibiv/math_instruct | |
Let p = 33 - 32.7. Put -5, -3, 4, p in decreasing order.\n | 4, p, -3, -5\n | ibivibiv/math_instruct | |
What is the millions digit of 2212053966?\n | 2\n | ibivibiv/math_instruct | |
Let f = 261425.0145 - 261370. Let h = -55 + f. Let v = h + -0.011. What is v rounded to 3 decimal places?\n | 0.004\n | ibivibiv/math_instruct | |
Differentiate -2*d*n*v + 4496*d*v - 76*d + 1388*n*v - 8574*n + 2*v - 4 with respect to n.\n | -2*d*v + 1388*v - 8574\n | ibivibiv/math_instruct | |
Solve 37*l - 69 - 42 = 0 for l.\n | 3\n | ibivibiv/math_instruct | |
What comes next: -52902, -105789, -158662, -211521, -264366, -317197?\n | -370014\n | ibivibiv/math_instruct | |
Is 48 a factor of 30997?\n | False\n | ibivibiv/math_instruct | |
Suppose k + 7 = -3*p - 0*k, 4 = -k. Which is the second smallest value? (a) -2 (b) p (c) -6\n | a\n | ibivibiv/math_instruct | |
Let v(p) = p + 1. Let q be v(-2). Let f be (2 + q)*(1 - -1). Solve 0 = d + f - 0 for d.\n | -2\n | ibivibiv/math_instruct | |
Let y = -30204009899/1144 - -26402111. Let a = -1/104 - y. What is the common denominator of -2/41 and a?\n | 451\n | ibivibiv/math_instruct | |
Does 8 divide 1/7 - 17*115/(-35)?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 x, 1 i, and 2 b when four letters picked without replacement from bbxmix.\n | 2/15\n | ibivibiv/math_instruct | |
Calculate -28728.796 - 0.0061.\n | -28728.8021\n | ibivibiv/math_instruct | |
Rearrange (-3 - 7*c**2 - 261*c + 261*c)*(-c**2 + 0*c + 0*c) + 10*c**4 + 3 - 3 to the form q*c**4 + l*c + a + p*c**2 + n*c**3 and give q.\n | 17\n | ibivibiv/math_instruct | |
Let h(r) = r**2 + 41*r - 42. What is h(-41)?\n | -42\n | ibivibiv/math_instruct | |
Calculate the remainder when 148187 is divided by 190.\n | 177\n | ibivibiv/math_instruct | |
What is the hundreds digit of 81703?\n | 7\n | ibivibiv/math_instruct | |
Let l(q) be the third derivative of q**4/24 - q**2 + 8*q. Let x(m) = 3*m**2 - 9. What is l(x(t))?\n | 3*t**2 - 9\n | ibivibiv/math_instruct | |
Let s = 2783 - 2779. Solve 2*v + s*b = 0, 2 = 27*v - 28*v - b for v.\n | -4\n | ibivibiv/math_instruct | |
Suppose -6*f + 4 + 2 = 0. Suppose -6*j + 13 - f = 0. Let p be -1*(1 - 0)*-15. Solve -o + p = 6*t - j*t, t - 15 = -4*o for t.\n | 3\n | ibivibiv/math_instruct | |
Rearrange (-2 + 6 - 2)*(0 + 4 - 3)*(-1 + 3*q**2 + 26287*q + 25763*q - 54092*q) to the form y*q**2 + u*q + m and give u.\n | -4084\n | ibivibiv/math_instruct | |
Let s = -7 + 127/18. Let f(z) be the third derivative of 0 - 1/180*z**5 + s*z**3 + 0*z + 0*z**4 - 4*z**2. Determine r so that f(r) = 0.\n | -1, 1\n | ibivibiv/math_instruct | |
Suppose 238 + 317 = 19*x - 357. Calculate the remainder when 175 is divided by x.\n | 31\n | ibivibiv/math_instruct | |
Put -2, 14, -1072, -3, 4, -1, 6 in increasing order.\n | -1072, -3, -2, -1, 4, 6, 14\n | ibivibiv/math_instruct | |
Differentiate 141030636*h**4 - h - 260331472 wrt h.\n | 564122544*h**3 - 1\n | ibivibiv/math_instruct | |
What is -25 divided by -178224?\n | 25/178224\n | ibivibiv/math_instruct | |
Let b = -0.064 - -0.023. Let h = b + 0.05252. What is h rounded to three dps?\n | 0.012\n | ibivibiv/math_instruct |
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