instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Four letters picked without replacement from zdddzz. Give prob of sequence dzdz.\n | 1/10\n | ibivibiv/math_instruct | |
Multiply -3237 and -0.22.\n | 712.14\n | ibivibiv/math_instruct | |
Simplify -3 + (sqrt(60) + (sqrt(60) - (sqrt(420)/sqrt(112) + sqrt(60))))/((sqrt(60) - (sqrt(60) - sqrt(540) - sqrt(60)))/sqrt(5)).\n | -3 + 3*sqrt(5)/16\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 12 and 12162.\n | 24324\n | ibivibiv/math_instruct | |
Calculate 6.398351*-0.2.\n | -1.2796702\n | ibivibiv/math_instruct | |
Which is the nearest to 1/4? (a) -69969 (b) 0.054 (c) -4\n | b\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {d: 2, k: 3, t: 3, h: 5, e: 2}. Give prob of picking 1 h, 1 t, and 1 k.\n | 9/91\n | ibivibiv/math_instruct | |
Collect the terms in 16 - 19*f**3 - 9 - 7 + f.\n | -19*f**3 + f\n | ibivibiv/math_instruct | |
What is the value of 868/155 + (-460)/(-25)?\n | 24\n | ibivibiv/math_instruct | |
What is the value of (4/((-12)/9))/((-7)/((-42)/(-30)))?\n | 3/5\n | ibivibiv/math_instruct | |
Solve -169*s = -18*s + 83*s + 4446 for s.\n | -19\n | ibivibiv/math_instruct | |
Let m(o) = 2*o + 31. Let j be m(-14). Suppose -4*v - i = -11, -3*v - j*i + i + 12 = 0. Is -4 + 2 - (v + (1 - 1368)) a prime number?\n | False\n | ibivibiv/math_instruct | |
Evaluate 0 - -3 - (4 + -3 + 2).\n | 0\n | ibivibiv/math_instruct | |
Three letters picked without replacement from knqeeq. Give prob of sequence qnq.\n | 1/60\n | ibivibiv/math_instruct | |
Let v(r) be the third derivative of 7*r**4/24 - r**3/6 - 4*r**2. Let g be v(1). What is the second derivative of -s**5 + 7 + g*s - 7 wrt s?\n | -20*s**3\n | ibivibiv/math_instruct | |
Let s(d) = 3*d**2 + 30*d + 74. Let o(i) = -35*i. Calculate s(o(w)).\n | 3675*w**2 - 1050*w + 74\n | ibivibiv/math_instruct | |
-1099033724.817+-0.5\n | -1099033725.317\n | ibivibiv/math_instruct | |
Let m = 2543 + -1102. Is m a composite number?\n | True\n | ibivibiv/math_instruct | |
Let u = 5.519 - 8.519. Suppose -3*m = -5*s - 7, -m + 2*m = -2*s - 5. What is the nearest to m in 5, -8, u?\n | u\n | ibivibiv/math_instruct | |
3/((-12)/(-2))*(-4)/(-8)\n | 1/4\n | ibivibiv/math_instruct | |
What is the value of 2 + -4 - ((24 - 16) + -18)?\n | 8\n | ibivibiv/math_instruct | |
Suppose 0 = 5*f - 10 - 0. Let d be ((-29)/f + 2)*2. Let v be (-10)/6*5/d. Sort -0.2, v, 5 in descending order.\n | 5, v, -0.2\n | ibivibiv/math_instruct | |
Let t(l) = 531*l + 8. Let z(h) = -15399*h - 236. What is -118*t(m) - 4*z(m)?\n | -1062*m\n | ibivibiv/math_instruct | |
Simplify (((sqrt(190) + -1*sqrt(190))*-6 - (5*(sqrt(190)*-1 - sqrt(190)) + sqrt(190)))/(5*sqrt(50)/(sqrt(20)/sqrt(4))))**2.\n | 1539/25\n | ibivibiv/math_instruct | |
What is (-5)/(-20)*-22 + -30*23/(-60)?\n | 6\n | ibivibiv/math_instruct | |
What is 415 to the power of 1/2, to the nearest integer?\n | 20\n | ibivibiv/math_instruct | |
5 + 84.03\n | 89.03\n | ibivibiv/math_instruct | |
What are the prime factors of 403?\n | 13, 31\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 250147054?\n | 1\n | ibivibiv/math_instruct | |
-392 divided by -2071817\n | 392/2071817\n | ibivibiv/math_instruct | |
How many minutes are there between 11:30 AM and 1:01 PM?\n | 91\n | ibivibiv/math_instruct | |
Which is smaller: 3373 or 3392?\n | 3373\n | ibivibiv/math_instruct | |
Calculate 19856/4088*80/85.\n | 32/7\n | ibivibiv/math_instruct | |
What is the first derivative of -33520958*n**4 + 16760595 wrt n?\n | -134083832*n**3\n | ibivibiv/math_instruct | |
Sort 1, 0, -21, 6.\n | -21, 0, 1, 6\n | ibivibiv/math_instruct | |
Suppose -228 = -w + 67. Is w prime?\n | False\n | ibivibiv/math_instruct | |
Let s(f) be the first derivative of -f**5 - 5*f**4/4 + 10*f**3/3 + 7. Find x such that s(x) = 0.\n | -2, 0, 1\n | ibivibiv/math_instruct | |
Let v be -11 + 7 + 177/(-3) - -2. What is the tens digit of (58 + v)*(-425)/3?\n | 2\n | ibivibiv/math_instruct | |
In base 8, what is 0 + -152?\n | -152\n | ibivibiv/math_instruct | |
Simplify (((g*g**1)/g)**(-13/3)/(g**(-1)*g**(-2/29)/g))/((g/(g**(-7/5)/g)*g**9)/(g**(-2)/g)**(-14/11)) assuming g is positive.\n | g**(-51899/4785)\n | ibivibiv/math_instruct | |
What are the prime factors of 27588?\n | 2, 3, 11, 19\n | ibivibiv/math_instruct | |
Calculate -157 divided by -4.\n | 157/4\n | ibivibiv/math_instruct | |
Suppose -12 = f + 4*c, -3*f - 4*c - 52 = -7*f. Suppose 5*w + 0*i + 5*i - 20 = 0, f = 5*w + 2*i. Find t such that 1/3*t**3 + 0 + w*t**2 - 1/3*t = 0.\n | -1, 0, 1\n | ibivibiv/math_instruct | |
What is the second biggest value in -9, -1, -5, -25, 5?\n | -1\n | ibivibiv/math_instruct | |
What is -291 + -56?\n | -347\n | ibivibiv/math_instruct | |
What is 7/2 of a century in years?\n | 350\n | ibivibiv/math_instruct | |
b"What is the zth term of -552, -1971, -4336, -7647, -11904?\n" | -473*z**2 - 79\n | ibivibiv/math_instruct | |
Expand -4*z**5 + 5*z**5 - 2*z**5 + 2*z - 2*z + z**5 + (-z**4 - z**4 + 0*z**4)*(-2*z + 3 - 3) + (2527*z**2 - 2426*z**2 + 85*z - 91*z)*(7*z**3 - 2*z**3 + 0*z**3).\n | 509*z**5 - 30*z**4\n | ibivibiv/math_instruct | |
Simplify (i**(-8/13)/(((i**32/i*i)/i*i)/i))/((i/(i/((i/(i**(5/8)/i))/i)))/i**(2/17)) assuming i is positive.\n | i**(-56351/1768)\n | ibivibiv/math_instruct | |
Let k be 0*2/(-8)*-2. Let x = -69 - -69.3. Let j = 2.7 + x. Is j < k?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 h and 2 l when four letters picked without replacement from {u: 3, h: 4, l: 2}.\n | 1/21\n | ibivibiv/math_instruct | |
Let s(y) be the third derivative of 0*y**3 + 0*y + 0 + 6*y**2 - 1/2*y**4 + 0*y**5 - 7/120*y**6. What is the second derivative of s(i) wrt i?\n | -42*i\n | ibivibiv/math_instruct | |
Suppose -3*m = 2*i - 7751, i - 10*m - 3880 = -13*m. Is i a multiple of 49?\n | True\n | ibivibiv/math_instruct | |
What is the common denominator of -8/205 and 173/36900?\n | 36900\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-61.126 + 36.219 | -24.9070 | ibivibiv/math_instruct | |
What is the square root of 219659 to the nearest integer?\n | 469\n | ibivibiv/math_instruct | |
-3 divided by -2864040\n | 1/954680\n | ibivibiv/math_instruct | |
581.851 * -2\n | -1163.702\n | ibivibiv/math_instruct | |
Rearrange (-61*y - 69*y + 101*y)*(y**3 - 51 + 55 - 4*y**3) to the form o*y**3 + s*y + j*y**4 + w + l*y**2 and give o.\n | 0\n | ibivibiv/math_instruct | |
Let o(x) = 7*x - 11. Let f be o(5). Let a = 40 - f. What is the remainder when 44 is divided by a?\n | 12\n | ibivibiv/math_instruct | |
Let h be (-2)/(-10)*-7 - -1. Suppose -8 = 2*i + 12. Let z = 11 + i. Is h != z?\n | True\n | ibivibiv/math_instruct | |
How many minutes are there between 1:27 AM and 4:28 AM?\n | 181\n | ibivibiv/math_instruct | |
What is -61215 (base 12) in base 15?\n | -276ee\n | ibivibiv/math_instruct | |
Let j = 11077/9 + -1232. Which is smaller: j or 0?\n | j\n | ibivibiv/math_instruct | |
Let z = -31.95 - -32. Which is smaller: 0 or z?\n | 0\n | ibivibiv/math_instruct | |
Let s = -126 - -116.1. Let j = -9.64 - s. Let c = j + -0.25999963. Round c to six decimal places.\n | 0\n | ibivibiv/math_instruct | |
Convert -36030553 (base 7) to base 12.\n | -1096721\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {c: 9, t: 2}. What is prob of picking 2 c?\n | 36/55\n | ibivibiv/math_instruct | |
b"What is the rth term of 119585, 239174, 358771, 478376, 597989, 717610?\n" | 4*r**2 + 119577*r + 4\n | ibivibiv/math_instruct | |
What is $(3+3+5)\div2 - 1\div2$ in simplest terms? | First, we simplify within the parentheses: $(3+3+5)\div2=11\div2=\frac{11}{2}$.
Next, we simplify the subtraction: $1\div2=\frac{1}{2}$.
Finally, we subtract $\frac{1}{2}$ from $\frac{11}{2}$: $\frac{11}{2}-\frac{1}{2}=\frac{11-1}{2}=\frac{10}{2}=5$.
So $(3+3+5)\div2 - 1\div2$ simplifies to $\boxed{5}$.
The answer is: ... | ibivibiv/math_instruct | |
Let t(g) = 138*g**2 + 9*g - 257. Let c(q) = -137*q**2 - 6*q + 258. Let i be 2/(-3)*((-1 - -5) + -1). Let x(j) = i*t(j) - 3*c(j). Differentiate x(b) wrt b.\n | 270*b\n | ibivibiv/math_instruct | |
Let p = -6156 + 6156. Solve -3*v + 15 = 0, p = -w + v - 2*v for w.\n | -5\n | ibivibiv/math_instruct | |
Suppose 0 = 3*k - 6 + 6. Solve k = -p - p + 4 for p.\n | 2\n | ibivibiv/math_instruct | |
Let a(o) = o**2 - 7. Let r(i) = -1 + 0 + 2. Let d(t) = -3 + 2 + 2. Let b(m) = -3*d(m) + 5*r(m). Calculate -2*a(s) - 7*b(s).\n | -2*s**2\n | ibivibiv/math_instruct | |
What is the greatest common factor of 1037 and 122?\n | 61\n | ibivibiv/math_instruct | |
What is -0.07129 rounded to 2 decimal places?\n | -0.07\n | ibivibiv/math_instruct | |
List the prime factors of 2836.\n | 2, 709\n | ibivibiv/math_instruct | |
What is 405151 to the power of 1/10, to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Does 2198 divide 203918486?\n | False\n | ibivibiv/math_instruct | |
Rearrange (4 + 2 - 7)*(-3464 - 3423 + 6751)*(0*u + u**2 + 0*u) to b*u**2 + d*u + v and give b.\n | 136\n | ibivibiv/math_instruct | |
Calculate the remainder when 4 - (-29)/(203/1722) is divided by 12.\n | 10\n | ibivibiv/math_instruct | |
What is next in -34656365, -34656363, -34656361, -34656359?\n | -34656357\n | ibivibiv/math_instruct | |
What is the second derivative of -466788*f**4 - 41*f**2 - 44311436*f?\n | -5601456*f**2 - 82\n | ibivibiv/math_instruct | |
How many minutes are there between 5:01 PM and 12:01 AM?\n | 420\n | ibivibiv/math_instruct | |
In base 14, what is -3 - 0?\n | -3\n | ibivibiv/math_instruct | |
What comes next: -10, -59, -190, -445, -866, -1495?\n | -2374\n | ibivibiv/math_instruct | |
How many minutes are there between 10:43 PM and 5:21 AM?\n | 398\n | ibivibiv/math_instruct | |
What is the second derivative of 871 + r**2 - 68622*r**3 - r**2 + 2*r + 67272*r**3 wrt r?\n | -8100*r\n | ibivibiv/math_instruct | |
Let t(h) = 2*h**2 + 155. Let p(s) = -14*s - 262. What is t(p(q))?\n | 392*q**2 + 14672*q + 137443\n | ibivibiv/math_instruct | |
Let b = -2.5 - 0.5. Let a be ((-3)/(3 + 9))/(-1). Put a, b, -1 in descending order.\n | a, -1, b\n | ibivibiv/math_instruct | |
Let d(v) = v**3 - 5*v**2 - 9*v + 12. Let q be ((-98)/(-14))/(-1 - -2). What is the remainder when d(q) is divided by 12?\n | 11\n | ibivibiv/math_instruct | |
Let y be (-16)/(-72) - 32/(-18). Let b(a) = 2*a**2 - a - 1. Let v = -1 - -9. What is the remainder when v is divided by b(y)?\n | 3\n | ibivibiv/math_instruct | |
What is 11 + -3 + -28 + (10 - -4 - 15) + -15?\n | -36\n | ibivibiv/math_instruct | |
Which is the closest to 7? (a) 2/3 (b) 2 (c) 33/16 (d) -1\n | c\n | ibivibiv/math_instruct | |
Evaluate ((-235)/(-470))/((-38)/4*(-1)/((-6)/2)).\n | -3/19\n | ibivibiv/math_instruct | |
Three letters picked without replacement from eetyeeetytee. Give prob of picking 2 t and 1 e.\n | 21/220\n | ibivibiv/math_instruct | |
What is -844.35 - -8.5834?\n | -835.7666\n | ibivibiv/math_instruct | |
Let r(v) = -97*v + 1. Let t(p) = -42*p - 19. Let m(q) = -79*q - 32. Let y(l) = -3*m(l) + 5*t(l). Calculate r(y(s)).\n | -2619*s - 96\n | ibivibiv/math_instruct | |
What are the prime factors of 8922764?\n | 2, 2230691\n | ibivibiv/math_instruct | |
Let l(q) be the second derivative of -13*q**5/4 + 169*q**3/2 + 46*q. What is the second derivative of l(i) wrt i?\n | -390*i\n | ibivibiv/math_instruct |
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