instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is thirteen quarters of a decade in months?\n | 390\n | ibivibiv/math_instruct | |
What is the units digit of (-25 - -331)*22/4*(17 + 2)?\n | 7\n | ibivibiv/math_instruct | |
Suppose -p + 18 = 3*n + 5, -31 = -5*n + 3*p. Suppose n*g + 52 - 67 = 0. Solve g*b - 2*b + 5 = 0 for b.\n | -5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from tyyttttutytw. What is prob of sequence yw?\n | 1/44\n | ibivibiv/math_instruct | |
Find the second derivative of 443*d**2*m**2 - 13*d**2*m - 11*d*m - m**2 wrt m.\n | 886*d**2 - 2\n | ibivibiv/math_instruct | |
What is the greatest common factor of 132 and 11?\n | 11\n | ibivibiv/math_instruct | |
What is the highest common factor of 57 and 114?\n | 57\n | ibivibiv/math_instruct | |
Suppose 4*y + 5*t = -9 - 16, 15 = 5*y - 3*t. Let s = 7 - 2. Suppose -25 = -s*n - y. Solve 0 = -2*o + o + n, -3*c + o - 14 = 0 for c.\n | -3\n | ibivibiv/math_instruct | |
Let u be (8/1)/(-18 - -19). Let m(n) = n - 4. Let r be m(6). Let h = r + u. What is the smallest common multiple of 11 and h?\n | 110\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 72 (b) 0.01 (c) 0.3 (d) -0.4\n | d\n | ibivibiv/math_instruct | |
Let w be ((-5)/15)/(2/(-30)). Solve 6*x - x = w, 3*x - 3 = -5*d for d.\n | 0\n | ibivibiv/math_instruct | |
What is the result of the following expression?
0.138 % 1.663 | 0.138 | ibivibiv/math_instruct | |
Let s(f) be the first derivative of -f**3/3 + 15*f**2/2 - 8*f + 8. Let k be s(14). Let o = -195 + 213. What is the highest common divisor of o and k?\n | 6\n | ibivibiv/math_instruct | |
Let h(m) = -1. Let t(k) = -2*k - 6. Let w(x) = 3*h(x) - t(x). Let c be w(-9). Let z = 22 + c. What is the remainder when z is divided by 3?\n | 1\n | ibivibiv/math_instruct | |
What is 70 divided by 58?\n | 35/29\n | ibivibiv/math_instruct | |
Is 260639111 a composite number?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {n: 3, u: 1, d: 1, t: 3, a: 2, w: 1}. Give prob of picking 1 a and 1 u.\n | 2/55\n | ibivibiv/math_instruct | |
Let y(a) = 99*a + 24. Let r(u) = u - 1. Let h(t) = r(t) - y(t). List the prime factors of h(-3).\n | 269\n | ibivibiv/math_instruct | |
Is (-5)/((-20)/514)*2 prime?\n | True\n | ibivibiv/math_instruct | |
Calculate (-180)/42 + 43734/9842.\n | 3/19\n | ibivibiv/math_instruct | |
Let m(k) = 5*k**3 - 7*k**2 + 3*k - 4. Suppose -5*b + 12*v - 17*v = 0, b + 4*v + 12 = 0. Let n(x) = 4*x**3 - 6*x**2 + 2*x - 3. Determine b*n(o) - 3*m(o).\n | o**3 - 3*o**2 - o\n | ibivibiv/math_instruct | |
What is -1 less than -434?\n | -433\n | ibivibiv/math_instruct | |
Does 400 divide 47177522?\n | False\n | ibivibiv/math_instruct | |
Let b = 144 + -126. What is the remainder when 48 is divided by b?\n | 12\n | ibivibiv/math_instruct | |
Let y(o) = 4*o**2 - 8*o + 1. Let s = -9 + 8. Let x(b) = -3*b**2 - 2*b**2 + b + 4*b**2. Let d(j) = s*y(j) - 5*x(j). Determine d(-4).\n | 3\n | ibivibiv/math_instruct | |
Let o(r) = r**2 - 6*r - 4. Suppose 5*k - 47 + 17 = 5*m, -k - m + 16 = 0. Suppose k*w + 360 = 8*w. Let y be ((-4)/(-5))/((-16)/w). What is o(y)?\n | -4\n | ibivibiv/math_instruct | |
Let l be 4/((-168)/(-2023)) - (-2)/(-12). Solve -60*h + 48*h = l for h.\n | -4\n | ibivibiv/math_instruct | |
Let t(s) = -s**3 + 5*s**2 - 5*s + 4. Let o = 86 - 82. Let k be t(o). Let w(y) = -y**2 + 6*y - 1. Let p be w(5). Solve -p*h + 6*h = -b + 10, 5*h - 20 = k for b.\n | 2\n | ibivibiv/math_instruct | |
Is 56893363309 composite?\n | False\n | ibivibiv/math_instruct | |
Convert 3 (base 10) to base 16.\n | 3\n | ibivibiv/math_instruct | |
Let t(p) = -5*p**3 + 2*p + 2*p**3 + 2*p**3 + 5 - 5*p**2. Let m = 8489 + -8494. Calculate t(m).\n | -5\n | ibivibiv/math_instruct | |
Let v = 2.8 - 2.799999598. Round v to 7 dps.\n | 0.0000004\n | ibivibiv/math_instruct | |
Let o(c) = 9*c**3 - 2*c**2 - 2*c + 2. Calculate the remainder when -2 - (-4807)/38 - (-10)/(-4) is divided by o(2).\n | 60\n | ibivibiv/math_instruct | |
How many millilitres are there in 22.3251 litres?\n | 22325.1\n | ibivibiv/math_instruct | |
Simplify 2 + (-2*sqrt(175))**2 + 0 + sqrt(175) + 4 + sqrt(175) + 3 + 5.\n | 10*sqrt(7) + 714\n | ibivibiv/math_instruct | |
Find g, given that -221*g**4/4 + 213481*g**3/4 + 432465*g**2/4 + 223603*g/4 + 1210 = 0.\n | -1, -5/221, 968\n | ibivibiv/math_instruct | |
Which is the closest to -3? (a) -0.4 (b) 0 (c) 24\n | a\n | ibivibiv/math_instruct | |
In base 12, what is 30242 - 0?\n | 30242\n | ibivibiv/math_instruct | |
Let q(n) = -57*n**2 - 38*n + 6. Let w be q(9). Is 12 a factor of 1 + w/(-18) + (-1)/6?\n | True\n | ibivibiv/math_instruct | |
What is the nearest to 1/4 in -3/2, -9/5, -2/5, -0.21?\n | -0.21\n | ibivibiv/math_instruct | |
Let w(f) = -f**2 - 4*f - 1. Let l be w(-3). Suppose -m - g - 149 = l*m, 5*g = -25. What is the units digit of (9/6)/((-9)/m)?\n | 8\n | ibivibiv/math_instruct | |
Suppose -5*x = -9*x, 2*x - 29 = -i - 2*x. Solve 27*j + 15 = -3*w + i*j, 4*w + 9 = -j for w.\n | -3\n | ibivibiv/math_instruct | |
Find k, given that 6*k**5 - 52*k**4 + 98*k**3 + 76*k**2 - 80*k = 0.\n | -1, 0, 2/3, 4, 5\n | ibivibiv/math_instruct | |
Suppose 0 = 2*n - 5*l - 1 - 0, -l = n - 11. Let r(k) = k**3 - 6*k**2 - 18*k + 16. Let u be r(n). Solve u = 4*m + 2*m - 30 for m.\n | 5\n | ibivibiv/math_instruct | |
Put -2, 13634, 5, 2 in descending order.\n | 13634, 5, 2, -2\n | ibivibiv/math_instruct | |
What is the tenth root of 2309 to the nearest integer?\n | 2\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Thread: Simplifying w/ Distributive Property?
1. ## Simplifying w/ Distributive Property?
I have this problem:
$6+2[(-8)-3(2x+4)]+10x$
And the problem is just using the distributive property to simplify this expression.
... | The distributive property in algebra allows us to distribute a number (or variable) throughout a parentheses or brackets by multiplying each term inside the grouping symbol with the given number (or variable). This property is often used when simplifying expressions to make them easier to understand and work with. Let... | ibivibiv/math_instruct | |
Calculate the highest common divisor of 254760 and 1228040.\n | 440\n | ibivibiv/math_instruct | |
List the prime factors of 998.\n | 2, 499\n | ibivibiv/math_instruct | |
-0.04 * 0.07695\n | -0.003078\n | ibivibiv/math_instruct | |
Round 0.0000031918 to seven dps.\n | 0.0000032\n | ibivibiv/math_instruct | |
Simplify (y**6*(y**(-8/7)/y)/y)**(-4/5)*(((y*y**3)/y)/(y/((y/(y**(2/5)*y*y))/y*y)*y*y*y))/(y**(3/4)/y**(-1)) assuming y is positive.\n | y**(-901/140)\n | ibivibiv/math_instruct | |
Let n be 144/30*205/246. Sort n, 1, -5, 359.\n | -5, 1, n, 359\n | ibivibiv/math_instruct | |
Calculate 2 - (-3 + 2 - -5).\n | -2\n | ibivibiv/math_instruct | |
8 - 11 - -2 - -2\n | 1\n | ibivibiv/math_instruct | |
What is prob of sequence mmok when four letters picked without replacement from dkkodmdmmdvddmddmmd?\n | 5/7752\n | ibivibiv/math_instruct | |
Put together 4 and 98872.\n | 98876\n | ibivibiv/math_instruct | |
List the prime factors of 20310041.\n | 149, 136309\n | ibivibiv/math_instruct | |
Let w be ((-4)/(-30)*5)/(4/6). Let p be (1 - 1) + (-2)/(-29). Which is greater: w or p?\n | w\n | ibivibiv/math_instruct | |
What is the fifth root of 1028 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
What is (-24)/9*1*2*122/(-976)?\n | 2/3\n | ibivibiv/math_instruct | |
Is 1050182759 prime?\n | False\n | ibivibiv/math_instruct | |
Let z(t) = -t**2 + t. Let v(i) = -3*i**2 - 42*i. Let y be (-7 + -1 + 5)/3. Let b(f) = y*v(f) + 6*z(f). Suppose b(a) = 0. Calculate a.\n | 0, 16\n | ibivibiv/math_instruct | |
Let k = -0.3885 + 0.0275. Let l = k - -0.061. Which is the fourth smallest value? (a) 2 (b) 2/3 (c) -0.05 (d) l\n | a\n | ibivibiv/math_instruct | |
Let k = -0.14676 - -46.14676. What is the third biggest value in 1, -1/4, 5, k?\n | 1\n | ibivibiv/math_instruct | |
Calculate the common denominator of -23/451360 and 131/112840.\n | 451360\n | ibivibiv/math_instruct | |
Let w = -34 + 44. Calculate the highest common factor of w and 10.\n | 10\n | ibivibiv/math_instruct | |
Collect the terms in 4*c**3 + 98 + 0*c**3 - 98.\n | 4*c**3\n | ibivibiv/math_instruct | |
Let j(a) = 3*a + 85. Let i be j(-26). Suppose -i*k + 6724 = -6331. Is k a composite number?\n | True\n | ibivibiv/math_instruct | |
In base 5, what is 104333334 + 1134?\n | 104340023\n | ibivibiv/math_instruct | |
Convert 382d (base 14) to base 16.\n | 2671\n | ibivibiv/math_instruct | |
Let k = -18 + 17.945. Let f = 0.03 + k. Round f to two decimal places.\n | -0.03\n | ibivibiv/math_instruct | |
Does 48 divide 26039?\n | False\n | ibivibiv/math_instruct | |
Is 805427 a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose 0 = -5*t + 3*w + 94, 0 = 3*t - 0*t - 5*w - 66. Calculate the highest common divisor of t and 119.\n | 17\n | ibivibiv/math_instruct | |
Suppose -5*r - 100*j = -103*j - 2871, -2298 = -4*r + 3*j. What are the prime factors of r?\n | 3, 191\n | ibivibiv/math_instruct | |
Let w(a) = -4852*a + 213494. What is w(44)?\n | 6\n | ibivibiv/math_instruct | |
Find the third derivative of -100*f**2*l**3*m**2 - 6*f**2*l**2*m**2 + 2*f**2*m - 27*f*l**3*m**2 - 4*l**2*m wrt l.\n | -600*f**2*m**2 - 162*f*m**2\n | ibivibiv/math_instruct | |
Solve 0 = -4*b + 10 - 14 for b.\n | -1\n | ibivibiv/math_instruct | |
Simplify (sqrt(171) - (-1 + 0 + sqrt(171) + sqrt(171) - sqrt(171))**2 - sqrt(171)) + (sqrt(931) + -1)*4.\n | -176 + 34*sqrt(19)\n | ibivibiv/math_instruct | |
Let q(a) = a + 14. Let g be q(-9). Suppose o - g = 1. Is 580/o + -5*8/(-120) a multiple of 9?\n | False\n | ibivibiv/math_instruct | |
Let w(i) = -5 + 30*i + 3 - 8*i**2 - 48*i - i**3. What is the remainder when 164 is divided by w(-5)?\n | 8\n | ibivibiv/math_instruct | |
Suppose -81*p = -77*p - 2316. Does 24 divide p?\n | False\n | ibivibiv/math_instruct | |
Suppose u - 22 - 19 = -36. Solve 0 = -3*w - 5*y + u, -4*w + 8 = y + 7 for w.\n | 0\n | ibivibiv/math_instruct | |
Let p = -63/2 - -31. Which is the closest to p? (a) -2/7 (b) 2 (c) -0.2\n | a\n | ibivibiv/math_instruct | |
Divide 456 by 90511.\n | 456/90511\n | ibivibiv/math_instruct | |
Let c(p) = 1018*p**3 + 15*p**2 + 5*p + 1557. Let s(r) = -1019*r**3 - 18*r**2 - 6*r - 1559. Let g(z) = 6*c(z) + 5*s(z). What is the derivative of g(v) wrt v?\n | 3039*v**2\n | ibivibiv/math_instruct | |
Put together 5486956526 and 0.738.\n | 5486956526.738\n | ibivibiv/math_instruct | |
Let a = 76563 - 26881. Is a a prime number?\n | False\n | ibivibiv/math_instruct | |
b"What is the ath term of -438653, -877076, -1315499?\n" | -438423*a - 230\n | ibivibiv/math_instruct | |
What is the nearest to -1/14082 in 4/3, -17, 0.4, 2?\n | 0.4\n | ibivibiv/math_instruct | |
What is the value of (-360)/(-14) + 2/7 + 62636/(-8948)?\n | 19\n | ibivibiv/math_instruct | |
In base 15, what is -2 - -d123?\n | d121\n | ibivibiv/math_instruct | |
Let q(x) = -48*x + 4. Let g(v) = 31*v - 2. What is 8*g(h) + 5*q(h)?\n | 8*h + 4\n | ibivibiv/math_instruct | |
Let k be (-2)/(-9) + 30/(8910/15081). Let c(h) = h - 1. Let v be c(4). What is the highest common divisor of k and v?\n | 3\n | ibivibiv/math_instruct | |
Let v(r) = r**3 + 155*r**2 + 3137*r - 967. What is v(-131)?\n | -50\n | ibivibiv/math_instruct | |
Let t be 184/44 - (-1 + 5). What is y in -2/11*y**3 + 0 + 0*y + t*y**4 + 0*y**2 = 0?\n | 0, 1\n | ibivibiv/math_instruct | |
How many minutes are there between 5:58 AM and 11:35 AM?\n | 337\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) -0.8 (b) 0.2 (c) 2 (d) 44\n | c\n | ibivibiv/math_instruct | |
(281 - 292) + (-142)/(-8) + (-4)/1\n | 11/4\n | ibivibiv/math_instruct |
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