instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the value of 2/(-1 - -2) - (69 - 74)?\n | 7\n | ibivibiv/math_instruct | |
(1/(-13))/((24 - 22)/(0 + 1))\n | -1/26\n | ibivibiv/math_instruct | |
Collect the terms in -5107*m + 1 - 1 - 32438*m.\n | -37545*m\n | ibivibiv/math_instruct | |
How many centimeters are there in 0.2085843m?\n | 20.85843\n | ibivibiv/math_instruct | |
What is 693 minutes before 1:06 PM?\n | 1:33 AM\n | ibivibiv/math_instruct | |
(-3456)/(-336)*10500/(-4800)\n | -45/2\n | ibivibiv/math_instruct | |
Suppose t - 2 = 3*j, -4*t + 5*j = -2*t - 5. Solve 0 = -2*s - 3*p + 19, -2*s + p = 3*s - t for s.\n | 2\n | ibivibiv/math_instruct | |
What is 0.9644538 hours in minutes?\n | 57.867228\n | ibivibiv/math_instruct | |
(-16)/(-36)*-3*(-16)/((-14592)/216)\n | -6/19\n | ibivibiv/math_instruct | |
What is -19 divided by 5049?\n | -19/5049\n | ibivibiv/math_instruct | |
Evaluate (-212)/530*(-5)/(-31) + (15420/3565 - 4).\n | 6/23\n | ibivibiv/math_instruct | |
Round 0.00000778894 to five decimal places.\n | 0.00001\n | ibivibiv/math_instruct | |
Two friends decide to get together, so they start riding bikes towards each other at a certain speed. They plan to meet halfway. They live 36 miles apart. One of them has a pet carrier pigeon, and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 40 mph between the 2 friends u... | Let's denote the speed of the first friend as \( v_1 \) and the speed of the second friend as \( v_2 \). Since they meet halfway, they each travel 18 miles.
The pigeon flies at a constant speed of 40 mph and travels a total distance of 120 miles. The time it takes for the pigeon to fly this distance is the same time i... | ibivibiv/math_instruct | |
Calculate prob of picking 2 p when two letters picked without replacement from nppnpppppknppkpppppp.\n | 21/38\n | ibivibiv/math_instruct | |
(2/(-8))/((-1)/(-4))\n | -1\n | ibivibiv/math_instruct | |
In August, a cricket team that played 120 matches won 30% of the games it played. After a continuous winning streak, this team raised its average to 52%. How many matches did the team win to attain this average? | Let's first calculate the number of matches the cricket team won initially when they had a 30% win rate.
30% of 120 matches = 0.30 * 120 = 36 matches won
Now, let's assume the team won 'x' additional matches in a row to raise their average to 52%. The total number of matches played would then be 120 + x, and the tota... | ibivibiv/math_instruct | |
Let h = 16/921 + 623437/4605. Let a = 135 - h. Which is smaller: 1/4 or a?\n | a\n | ibivibiv/math_instruct | |
b"What is the qth term of 212501, 425124, 637747, 850370, 1062993, 1275616?\n" | 212623*q - 122\n | ibivibiv/math_instruct | |
Simplify m**(-12)*m**(-9/5)*m**(7/2)*m*m**(2/37)*m assuming m is positive.\n | m**(-3051/370)\n | ibivibiv/math_instruct | |
Simplify ((c*c/(c*(c*c/(c/c**(3/8)))/c))/c**(-5/6))**(-4/9) assuming c is positive.\n | c**(-35/54)\n | ibivibiv/math_instruct | |
Suppose 0 = 2*p + 11 - 9. Put p, -3, 6, -2 in ascending order.\n | -3, -2, p, 6\n | ibivibiv/math_instruct | |
Factor -u**2/8 + 1557970*u - 12463759/8.\n | -(u - 12463759)*(u - 1)/8\n | ibivibiv/math_instruct | |
Suppose -6 + 4*b - 2/3*b**2 = 0. Calculate b.\n | 3\n | ibivibiv/math_instruct | |
Simplify q**(-1/4)*q*q*q**(-6/5)*q*q assuming q is positive.\n | q**(51/20)\n | ibivibiv/math_instruct | |
How many minutes are there between 1:02 AM and 3:27 AM?\n | 145\n | ibivibiv/math_instruct | |
Solve -55*p - 24 - 22 = -3*p + 6 for p.\n | -1\n | ibivibiv/math_instruct | |
What is 0.001434 rounded to 4 dps?\n | 0.0014\n | ibivibiv/math_instruct | |
Evaluate 1*40/210*-7.\n | -4/3\n | ibivibiv/math_instruct | |
Simplify (((n**1*n)/n)/n**(-11))/(n*n**5*n*n*n/(n**(-2/9)*n)) assuming n is positive.\n | n**(34/9)\n | ibivibiv/math_instruct | |
Let c(g) = -g**3 + 2*g**2 + 2. Suppose 2*s + 0*s = 20. Let v = -7 + s. Suppose d = 4*o - 5*o + v, d = -4*o + 3. Determine c(d).\n | -7\n | ibivibiv/math_instruct | |
What is next in 193373, 193379, 193385, 193391?\n | 193397\n | ibivibiv/math_instruct | |
Let n(m) = 7*m + 218 + m**3 - m**2 + 211 - 422 + 6*m**2. Let p be n(-4). Sort 15, 4, 6, p in increasing order.\n | p, 4, 6, 15\n | ibivibiv/math_instruct | |
Let f(n) = -n + 40. Let y = 55 + -61. Let l(o) = -4. Let b(z) = y*l(z) - f(z). Determine b(5).\n | -11\n | ibivibiv/math_instruct | |
Let u(v) = -2*v**2. Let n(i) = -105*i - 2. Give u(n(a)).\n | -22050*a**2 - 840*a - 8\n | ibivibiv/math_instruct | |
Solve 17*j + 10 - 23230*j**2 - j**3 + 23236*j**2 - 2 - 2*j = 0 for j.\n | -1, 8\n | ibivibiv/math_instruct | |
Find the common denominator of 103/29701278 and -81/986.\n | 29701278\n | ibivibiv/math_instruct | |
-3 (base 16) to base 3\n | -10\n | ibivibiv/math_instruct | |
Suppose -3*t**4/2 + 57*t**3/2 + 717*t**2/2 - 1773*t/2 - 1215 = 0. What is t?\n | -10, -1, 3, 27\n | ibivibiv/math_instruct | |
Expand (-4 + 1 + 2)*(-6*y + y + 3*y).\n | 2*y\n | ibivibiv/math_instruct | |
What are the prime factors of 5670701174?\n | 2, 73, 691, 56209\n | ibivibiv/math_instruct | |
Let h = -0.3 - 0. Which is the biggest value? (a) -1/2 (b) -2 (c) h\n | c\n | ibivibiv/math_instruct | |
Suppose 3*w = -f - 1, -4 + 1 = 4*w + 3*f. Suppose 5*d + 79 + 71 = w. Does 7 divide 15/4*(-160)/d?\n | False\n | ibivibiv/math_instruct | |
Round 7957.51805 to the nearest 1000.\n | 8000\n | ibivibiv/math_instruct | |
Let y(t) be the third derivative of -t**6/90 + 3*t**5/10 - 4*t**4/3 - 11*t**3/6 - 7*t**2. Let k(q) be the first derivative of y(q). Factor k(z).\n | -4*(z - 8)*(z - 1)\n | ibivibiv/math_instruct | |
What is the highest common divisor of 8352 and 1000?\n | 8\n | ibivibiv/math_instruct | |
Let w(r) = -319*r + 2. Suppose -5*c = -0*c - 40. Let y(i) = i - 9. Let o be y(c). Is w(o) a composite number?\n | True\n | ibivibiv/math_instruct | |
Let a be (10/4)/(7/(-4) + 3). Let z be (2/(-5))/(3/(-15)). Let v = z - 0. Solve v*o = -a*h + 6, -h = 2*o - 3*h + 14 for o.\n | -2\n | ibivibiv/math_instruct | |
Solve 2*u**5/7 - 78*u**4/7 + 544*u**3/7 + 592*u**2 + 1056*u + 3872/7 = 0 for u.\n | -2, -1, 22\n | ibivibiv/math_instruct | |
What is the first derivative of 17*c**4 - 27*c**3 + 85183 wrt c?\n | 68*c**3 - 81*c**2\n | ibivibiv/math_instruct | |
Rearrange 19 + 2*c**4 + c**4 + c - 7*c**4 + 2*c**3 + 5*c**4 to the form m*c + w*c**3 + g + i*c**2 + a*c**4 and give w.\n | 2\n | ibivibiv/math_instruct | |
What are the prime factors of 10692?\n | 2, 3, 11\n | ibivibiv/math_instruct | |
Calculate 1142 divided by 69.\n | 1142/69\n | ibivibiv/math_instruct | |
b"What is the dth term of -6533013, -6533008, -6533001, -6532992, -6532981, -6532968?\n" | d**2 + 2*d - 6533016\n | ibivibiv/math_instruct | |
Two letters picked without replacement from fgagnwjf. What is prob of sequence ja?\n | 1/56\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 0.0554 (b) -0.2 (c) 2.85\n | b\n | ibivibiv/math_instruct | |
Which is the closest to 2/3? (a) 32/3 (b) 53.85 (c) 5\n | c\n | ibivibiv/math_instruct | |
Simplify (i/(i/i**9))**(1/54)*(i/i**(1/21)*i)/(i/(i*i*i**(-6)*i)) assuming i is positive.\n | i**(-79/42)\n | ibivibiv/math_instruct | |
-5 (base 6) to base 10\n | -5\n | ibivibiv/math_instruct | |
Let y be (-22)/(-6) - (-12)/(-18). Let d = -25/33 - -12/11. Let i = 24.2 + -21.5. What is the closest to -1 in y, i, d?\n | d\n | ibivibiv/math_instruct | |
What is -7c (base 16) in base 7?\n | -235\n | ibivibiv/math_instruct | |
What is prob of picking 1 l and 1 x when two letters picked without replacement from {d: 1, w: 2, l: 1, x: 1}?\n | 1/10\n | ibivibiv/math_instruct | |
Calculate the remainder when 1694010 is divided by 4896.\n | 4890\n | ibivibiv/math_instruct | |
What is the second biggest value in -1, 42/5, -32, -1/5, 0.5, 10, -2?\n | 42/5\n | ibivibiv/math_instruct | |
Expand (3 - 3 - 2)*(-112 + 21 - 56)*(2 - 3*h + 5*h - 1).\n | 588*h + 294\n | ibivibiv/math_instruct | |
62 - (-93 + 333 + -85)\n | -93\n | ibivibiv/math_instruct | |
Let o(x) be the third derivative of 1/105*x**7 + 0*x**3 + 3*x**2 - 1/30*x**5 + 0*x**4 + 1/60*x**6 + 0 - 1/168*x**8 + 0*x. Determine f, given that o(f) = 0.\n | -1, 0, 1\n | ibivibiv/math_instruct | |
Simplify ((v**(2/7)*v)**(-22)/(v/(v*(v/(v/(v**(-1/15)*v*v)))/v)*v**(-5)))**(-39) assuming v is positive.\n | v**(30511/35)\n | ibivibiv/math_instruct | |
Put -5, 2, 3, -12, 38, -4 in ascending order.\n | -12, -5, -4, 2, 3, 38\n | ibivibiv/math_instruct | |
Let t = -3109999 + 186604391/60. Let q = -1028/15 + t. Let v = 275/42 + -40/21. What is the common denominator of q and v?\n | 140\n | ibivibiv/math_instruct | |
Collect the terms in 8*m**2 + 28*m**3 + 2*m + 0*m - 8*m**2.\n | 28*m**3 + 2*m\n | ibivibiv/math_instruct | |
Do 626 and 378 have the same value?\n | False\n | ibivibiv/math_instruct | |
Let f(j) = j**2 - 8*j + 11. Let l be f(5). Suppose 12 + 4 = 4*a. Suppose -5*v - s + 23 = 0, 2*s + 8 - a = 0. What is the second smallest value in 3, v, l?\n | 3\n | ibivibiv/math_instruct | |
List the prime factors of 4673790.\n | 2, 3, 5, 11, 4721\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {i: 1, g: 1, z: 1}. Give prob of picking 1 z and 1 i.\n | 1/3\n | ibivibiv/math_instruct | |
Suppose l = -l - 3*h + 22, 12 = 2*l - 2*h. Calculate the greatest common divisor of l and 24.\n | 8\n | ibivibiv/math_instruct | |
Calculate the remainder when 214 is divided by 53.\n | 2\n | ibivibiv/math_instruct | |
What is 12.2178 minus -167978965?\n | 167978977.2178\n | ibivibiv/math_instruct | |
Evaluate (-1*48)/(10740/18795).\n | -84\n | ibivibiv/math_instruct | |
Solve 4*q + 0 = -12 for q.\n | -3\n | ibivibiv/math_instruct | |
Collect the terms in -50*m + 47*m + 539 - 270 + 7*m - 269.\n | 4*m\n | ibivibiv/math_instruct | |
Is 54101731 composite?\n | True\n | ibivibiv/math_instruct | |
What is the remainder when 352 is divided by ((-64)/10)/((-10)/550)?\n | 0\n | ibivibiv/math_instruct | |
Let b(t) = -2*t**2 + 49*t + 20. Let r be b(25). What is the second biggest value in 1/5, r, 4, -1/3?\n | 1/5\n | ibivibiv/math_instruct | |
In base 7, what is 63040101 - 5?\n | 63040063\n | ibivibiv/math_instruct | |
Let p(t) = -t + 1. Let k be 9 + -12 - (2 + -6). Calculate p(k).\n | 0\n | ibivibiv/math_instruct | |
Let r(h) = 12*h + 3720. Is r(32) a multiple of 72?\n | True\n | ibivibiv/math_instruct | |
What is the derivative of 5*f**2 + 8102714*f - 190061480?\n | 10*f + 8102714\n | ibivibiv/math_instruct | |
Let b = -21 + 56. What is the units digit of b?\n | 5\n | ibivibiv/math_instruct | |
Calculate ((-20)/264)/(5/4).\n | -2/33\n | ibivibiv/math_instruct | |
Let k = 366 - 186. Is k a multiple of 9?\n | True\n | ibivibiv/math_instruct | |
What is (-1)/(-2)*4/(-2)?\n | -1\n | ibivibiv/math_instruct | |
Four letters picked without replacement from hueuexuuhe. Give prob of sequence hehx.\n | 1/840\n | ibivibiv/math_instruct | |
Simplify (1*(((sqrt(441) - sqrt(441)*3) + sqrt(441) - sqrt(441) - sqrt(441)) + sqrt(441)))/(sqrt(9)/sqrt(108) + sqrt(6)/(sqrt(6)/sqrt(3))).\n | -12*sqrt(3)\n | ibivibiv/math_instruct | |
What is 0 + 1 + -5 + 4 + -1?\n | -1\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 87 and 231?\n | 6699\n | ibivibiv/math_instruct | |
Suppose -2*c = c - 141. Let n = c + -42. Suppose 2*o - 5*j = 137, 296 = n*o - 3*j - 37. What are the prime factors of o?\n | 2, 3, 11\n | ibivibiv/math_instruct | |
Let p = 5 - 2. List the prime factors of p.\n | 3\n | ibivibiv/math_instruct | |
Determine j so that 4*j**4 + j**5 + 16*j - 31*j**2 + 24*j**3 - 12*j**4 - j**2 = 0.\n | 0, 2\n | ibivibiv/math_instruct | |
Let b = -18 + 6. Let q be (-780)/(-14) - 1*b/42. Let z = 62 - q. Calculate the highest common divisor of 36 and z.\n | 6\n | ibivibiv/math_instruct | |
Express -3*q**4 + 0*q**4 - 4 + q - 3*q - q**3 + 2 in the form p*q + x*q**3 + i*q**4 + m + s*q**2 and give p.\n | -2\n | ibivibiv/math_instruct |
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