instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Two letters picked without replacement from luuaululaluu. What is prob of picking 2 l?\n | 1/11\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {z: 1, q: 6, j: 7}. What is prob of picking 1 z and 1 j?\n | 1/13\n | ibivibiv/math_instruct | |
How many minutes are there between 1:43 AM and 8:33 AM?\n | 410\n | ibivibiv/math_instruct | |
Collect the terms in 6*w + 333 - 333.\n | 6*w\n | ibivibiv/math_instruct | |
Let v = -17 - -16. Let h = -290 + 290.2. Which is the nearest to h? (a) 6 (b) 1/7 (c) v\n | b\n | ibivibiv/math_instruct | |
Add -1 and -0.226.\n | -1.226\n | ibivibiv/math_instruct | |
Put 0.9, -523, -3/2, 0.2, 3/5 in increasing order.\n | -523, -3/2, 0.2, 3/5, 0.9\n | ibivibiv/math_instruct | |
Suppose 236*r = 240*r - 12. Let l(w) = -w**2 - 4*w + 8. Calculate l(r).\n | -13\n | ibivibiv/math_instruct | |
Let s = -47 + 34. Let h = s - -18. Which is the biggest value? (a) 4 (b) h (c) 1/3\n | b\n | ibivibiv/math_instruct | |
What is -18880.5791 + -4?\n | -18884.5791\n | ibivibiv/math_instruct | |
Put -3, 18, -3/14252 in descending order.\n | 18, -3/14252, -3\n | ibivibiv/math_instruct | |
Suppose 5*c + 0*o - 5*o + 35 = 0, -10 = c - 2*o. Sort c, 1/191, -2/7 in ascending order.\n | c, -2/7, 1/191\n | ibivibiv/math_instruct | |
Suppose 0 = -76*i + 201*i - 625. Let g = 27 + 19. What is the remainder when g is divided by i?\n | 1\n | ibivibiv/math_instruct | |
Suppose -5*u = -20, 3*u - 48 = -3*q - 0*u. Calculate the greatest common factor of 48 and q.\n | 12\n | ibivibiv/math_instruct | |
Factor 2*y**2/5 + 686*y/5 + 684/5.\n | 2*(y + 1)*(y + 342)/5\n | ibivibiv/math_instruct | |
Simplify (((b**(7/3)*b*(b/(b/(b*b**(-12))))/b*b)**(-23/5))**23)**(-7/5) assuming b is positive.\n | b**(-85169/75)\n | ibivibiv/math_instruct | |
What is the units digit of 5192?\n | 2\n | ibivibiv/math_instruct | |
Express 173 - 2*r**4 + 173 - 6*r**3 + 5*r**2 - 344 in the form i*r + s*r**2 + h*r**3 + a*r**4 + m and give h.\n | -6\n | ibivibiv/math_instruct | |
Let u = -20 + 20.1. Which is the closest to -1? (a) u (b) 2 (c) 0\n | c\n | ibivibiv/math_instruct | |
Calculate (385/(-75))/(2618/(-595)).\n | 7/6\n | ibivibiv/math_instruct | |
Simplify (((v/(v*v**(-25)))/v)/v)/(v/v**29*v)*(v**(-26))**(2/5) assuming v is positive.\n | v**(198/5)\n | ibivibiv/math_instruct | |
Suppose -3*v + 5*g = -2*v - 10, 0 = 4*g + 8. Find the second derivative of 2*h**5 - 4*h + v*h + h wrt h.\n | 40*h**3\n | ibivibiv/math_instruct | |
Let y(s) be the first derivative of -7*s**3/3 + s + 1. Let o(a) = a**3 - 8*a**2 + 16*a + 1. Let r be o(4). What is y(r)?\n | -6\n | ibivibiv/math_instruct | |
What is the highest common factor of 5980872 and 191937?\n | 411\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 208 and 844298.\n | 26\n | ibivibiv/math_instruct | |
Find the third derivative of 958*z**3 - 10*z**2 - z.\n | 5748\n | ibivibiv/math_instruct | |
What is 47.94092174 rounded to 2 dps?\n | 47.94\n | ibivibiv/math_instruct | |
Let j be (-2 - -9) + (2 - 5). Suppose 3*w - 5 = -j*s + 16, -5*w = 3*s - 24. Let q be 296/28 + s/7. Solve 3 - q = 4*l for l.\n | -2\n | ibivibiv/math_instruct | |
Let t(p) = -69*p**2 - 63*p - 9. Let n(w) = 35*w**2 + 31*w + 4. Let k(h) = -7*n(h) - 3*t(h). What is the second derivative of k(l) wrt l?\n | -76\n | ibivibiv/math_instruct | |
What is 35575783 to the power of 1/2, to the nearest integer?\n | 5965\n | ibivibiv/math_instruct | |
Let w(q) = 22*q**5 + 11*q**2 - 2*q - 2. Let f(l) = -43*l**5 - 23*l**2 + 5*l + 5. Let y(u) = -2*f(u) - 5*w(u). Find the third derivative of y(r) wrt r.\n | -1440*r**2\n | ibivibiv/math_instruct | |
Let x be (-4)/(-10) - 54/(-15). Let q(r) = -2*r + x*r + 0*r. What is q(-2)?\n | -4\n | ibivibiv/math_instruct | |
What is -13894.4 - 3.3277?\n | -13897.7277\n | ibivibiv/math_instruct | |
Expand -y**2 + 3*y**2 + y**2 + (2*y - 5*y + y)*(-2 + 2 - y) - 2*y + 2*y + 3*y**2 + 0*y**2 - 1 + 0*y**2 + y**2.\n | 9*y**2 - 1\n | ibivibiv/math_instruct | |
What is (798/304)/((-27)/(-216))*12/14?\n | 18\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 145805 and 415002.\n | 241\n | ibivibiv/math_instruct | |
What is ((-30)/(-75))/((-18)/(-60)*-22)?\n | -2/33\n | ibivibiv/math_instruct | |
Suppose -12*d = -4*d - 8. What is the lowest common multiple of 1 and 41 + d*(-10)/5?\n | 39\n | ibivibiv/math_instruct | |
-4 + 7 + -2 - (2 - -4)\n | -5\n | ibivibiv/math_instruct | |
(-84)/(-70)*((-9)/6)/((-9)/15)\n | 3\n | ibivibiv/math_instruct | |
1d (base 15) to base 4\n | 130\n | ibivibiv/math_instruct | |
Let a be ((-6)/(-3) - -24)/(-7 - (-556503)/79500). Round a to the nearest one hundred thousand.\n | 700000\n | ibivibiv/math_instruct | |
Suppose -q + 411 = -632. Is q a prime number?\n | False\n | ibivibiv/math_instruct | |
Solve -67*a - 14*a - 112082 + 116213 = 0 for a.\n | 51\n | ibivibiv/math_instruct | |
Let b = 2851 + -2849. Which is smaller: 27/35 or b?\n | 27/35\n | ibivibiv/math_instruct | |
What is prob of sequence ess when three letters picked without replacement from ceskeeymseskkkm?\n | 4/455\n | ibivibiv/math_instruct | |
Let r(b) = -2*b**2 + b - 3*b + 4 + 4*b**2 - b**2. Suppose 4*y - 8 = 2*g - g, 2 = 2*g - 2*y. What is the tens digit of r(g)?\n | 1\n | ibivibiv/math_instruct | |
What is the units digit of 165569?\n | 9\n | ibivibiv/math_instruct | |
Is 67 a factor of 3003596?\n | False\n | ibivibiv/math_instruct | |
Let i(b) = 8*b**2 + 571*b + 3422. Determine i(-62).\n | -1228\n | ibivibiv/math_instruct | |
Is 75659 composite?\n | False\n | ibivibiv/math_instruct | |
Let a = 30.01 - 0.01. Put -7/6, -2/13, a in ascending order.\n | -7/6, -2/13, a\n | ibivibiv/math_instruct | |
Expand (28*w - 1 + 2 - 29*w)*(28*w**4 - 9*w**4 + 7*w**4).\n | -26*w**5 + 26*w**4\n | ibivibiv/math_instruct | |
In base 14, what is -2d8 - 2b02?\n | -2dda\n | ibivibiv/math_instruct | |
What is the value of ((-2)/(-4))/(26*(-8)/64)?\n | -2/13\n | ibivibiv/math_instruct | |
Let d = -73230 + 183547. Is d a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the highest common divisor of 940 and 6016?\n | 188\n | ibivibiv/math_instruct | |
Let n = -3 - -3. Suppose -24 = -2*j - 2*j. Let b = -46433 - -46440. Solve n = -2*k - 3*i + j - 1, 5*k = -i - b for k.\n | -2\n | ibivibiv/math_instruct | |
Let y(a) = -a - 3. Let q be y(-7). Is q smaller than 4?\n | False\n | ibivibiv/math_instruct | |
Let x = 57 + -54. Suppose i - x*r = -3*i + 135, -4*i + 153 = 3*r. What is the lowest common multiple of i and 2?\n | 36\n | ibivibiv/math_instruct | |
What is next in -189390, -189416, -189442?\n | -189468\n | ibivibiv/math_instruct | |
Let b(v) = -v**3 - 7*v**2 - 3. Let s be b(-7). Let z(t) = -t**2 + 5*t + 4. Let j be z(6). Let y be 3/6*6 - j. Sort y, s, -2 in decreasing order.\n | y, -2, s\n | ibivibiv/math_instruct | |
What is 0 divided by 608?\n | 0\n | ibivibiv/math_instruct | |
Differentiate -523*c*q**2 - c + 1271*q**2 with respect to c.\n | -523*q**2 - 1\n | ibivibiv/math_instruct | |
What is 112633355 to the power of 1/3, to the nearest integer?\n | 483\n | ibivibiv/math_instruct | |
What is the cube root of 16677353 to the nearest integer?\n | 255\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-80.3529 - 13.7647) % (-9.4794 / -8.6612) | 0.0066 | ibivibiv/math_instruct | |
2 * 107.7\n | 215.4\n | ibivibiv/math_instruct | |
Factor -1/5*a**4 - 4/5*a**3 - 2/5*a - a**2 + 0.\n | -a*(a + 1)**2*(a + 2)/5\n | ibivibiv/math_instruct | |
Let r = 75.4 + 3.6. Let y = -64 + r. Is y greater than 1?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 13407690.\n | 2, 3, 5, 37, 47, 257\n | ibivibiv/math_instruct | |
Let z(i) = 3*i - 5. Let y be z(-5). Let w = -44 - y. Let o be w/(-11) + 12/(-66). Calculate the highest common factor of 16 and o.\n | 2\n | ibivibiv/math_instruct | |
Suppose 5*o = 4*o. Let g = -523 + 523.249. Let w = -0.049 + g. Which is the second biggest value? (a) -2/3 (b) o (c) w\n | b\n | ibivibiv/math_instruct | |
Let s(u) = u. Let y(d) = -d - 1. Suppose -7*x - 6 = -x. Give x*y(a) + 3*s(a).\n | 4*a + 1\n | ibivibiv/math_instruct | |
Put 641, -3, 4.1, 0.11 in ascending order.\n | -3, 0.11, 4.1, 641\n | ibivibiv/math_instruct | |
Suppose -3*r + 2 = -3*n + 11, 5*n - 3*r = 21. Suppose -n*h - 140 = -4*h. Let q = h + 70. Solve 0 = x + 4*u - 2, -5*x + q*u = 4*u + 6 for x.\n | -2\n | ibivibiv/math_instruct | |
In base 15, what is 4 - 47a4?\n | -47a0\n | ibivibiv/math_instruct | |
In base 16, what is -625 + -d?\n | -632\n | ibivibiv/math_instruct | |
Let h(m) = -7*m. Let i be h(-4). Let d be 42/i*16/6. Put d, -3/4, 2/3 in decreasing order.\n | d, 2/3, -3/4\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 38, -1, 3/5, -5?\n | 3/5\n | ibivibiv/math_instruct | |
Does 4 divide 10899948?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {g: 3, f: 4, z: 4, w: 4}. What is prob of picking 1 f and 1 z?\n | 16/105\n | ibivibiv/math_instruct | |
Express (-2*g**2 + 4*g**2 - 4*g**2)*(30 + 44 + 159 - 22) as n*g + i + w*g**2 and give w.\n | -422\n | ibivibiv/math_instruct | |
Is -43663 less than 0.1?\n | True\n | ibivibiv/math_instruct | |
Suppose 7888 = 2*j - 4*m, 8*j - 3*m - 11844 = 5*j. Is j a multiple of 8?\n | True\n | ibivibiv/math_instruct | |
201793 (base 12) to base 15\n | 9d476\n | ibivibiv/math_instruct | |
Let r(v) = 1553*v**2 - 9062*v - 1533. Determine r(6).\n | 3\n | ibivibiv/math_instruct | |
Subtract 10964 from 26.87.\n | -10937.13\n | ibivibiv/math_instruct | |
Round 2412520 to the nearest one hundred thousand.\n | 2400000\n | ibivibiv/math_instruct | |
Let r(f) = 107 + 6*f + 0*f - 2*f - 5*f - 102. Let y(h) = 1. Determine r(l) - y(l).\n | -l + 4\n | ibivibiv/math_instruct | |
In base 15, what is 20d3ed0 + -c?\n | 20d3ec3\n | ibivibiv/math_instruct | |
What is -311230 (base 5) in base 13?\n | -483b\n | ibivibiv/math_instruct | |
What is the tens digit of 10463?\n | 6\n | ibivibiv/math_instruct | |
(7/14)/((-1)/20*-2)\n | 5\n | ibivibiv/math_instruct | |
Let b = 14119 + -13209. Is b a multiple of 91?\n | True\n | ibivibiv/math_instruct | |
Does 12 divide 2714?\n | False\n | ibivibiv/math_instruct | |
Is 260 a multiple of 7?\n | False\n | ibivibiv/math_instruct | |
In base 10, what is 0 + -587?\n | -587\n | ibivibiv/math_instruct | |
Let j(u) = -133*u**3 + 2*u**2 - 1. Let o be j(-1). Let k be 5/((-350)/270)*-7. Let a = k + o. Is a composite?\n | True\n | ibivibiv/math_instruct | |
Let u = 3077064/203 - 15158. Let t = 10273/1624 - u. Calculate the common denominator of t and -85/14.\n | 56\n | ibivibiv/math_instruct |
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