instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let f(t) = 342*t - 289. Calculate f(1).\n | 53\n | ibivibiv/math_instruct | |
What is 474 minutes before 10:40 PM?\n | 2:46 PM\n | ibivibiv/math_instruct | |
What is the value of -58 + -1 + (-65 - -103)?\n | -21\n | ibivibiv/math_instruct | |
Convert 100 (base 3) to base 8.\n | 11\n | ibivibiv/math_instruct | |
Let m(l) be the third derivative of 1/160*l**6 - 1/8*l**3 + 0*l - 6*l**2 + 0 - 1/32*l**4 + 1/80*l**5. Factor m(x).\n | 3*(x - 1)*(x + 1)**2/4\n | ibivibiv/math_instruct | |
Let i = 8.666 - 2.628. Let o = -0.038 + i. Which is the nearest to -2? (a) o (b) -0.1 (c) -1/4\n | c\n | ibivibiv/math_instruct | |
Let a(h) = 3*h - 6. Let o = 3 + 6. Let m be a(o). Suppose 4*y - m = -5*z + 26, 4*z - 34 = -2*y. What is the units digit of z?\n | 7\n | ibivibiv/math_instruct | |
Calculate the common denominator of -43/88 and -125/132.\n | 264\n | ibivibiv/math_instruct | |
Which is the closest to 1? (a) -0.09 (b) 5 (c) -89\n | a\n | ibivibiv/math_instruct | |
Suppose 5*i = p - 318 - 59, -22*p + 7724 = 4*i. Calculate the highest common divisor of p and 1376.\n | 32\n | ibivibiv/math_instruct | |
Is 204362 prime?\n | False\n | ibivibiv/math_instruct | |
Simplify (((l/(l*(l/(l/(l*l**(1/3)*l)))/l*l))**47)**(1/72))**4 assuming l is positive.\n | l**(-329/54)\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 a and 1 h when three letters picked without replacement from {h: 15, a: 3, c: 2}.\n | 3/76\n | ibivibiv/math_instruct | |
Let m(k) = k**2 + 7*k - 34. Determine m(-10).\n | -4\n | ibivibiv/math_instruct | |
c (base 14) to base 15\n | c\n | ibivibiv/math_instruct | |
Let d(o) be the first derivative of -5*o**2 - 4*o + 19715. Let n(g) = 7*g + 3. Let l(c) = 3*c - 5. Let y be l(4). What is y*n(t) + 5*d(t)?\n | -t + 1\n | ibivibiv/math_instruct | |
Calculate the remainder when 384 is divided by 123.\n | 15\n | ibivibiv/math_instruct | |
What is 0.00001409016591 rounded to six dps?\n | 0.000014\n | ibivibiv/math_instruct | |
Rockefeller Army Base has 3000 more than twice as many guns as Grenada Army Base, 400 less than thrice as many war tractors as Grenada Army Base, and 30 times as many soldier uniforms as Grenada Army Base reserved for its national protection. In addition, Rockefeller Army Base has 4 times as many ration packs and 200 m... | Let's calculate the number of each type of war supply Rockefeller Army Base has based on the information provided:
1. Guns:
Rockefeller Army Base has 3000 more than twice as many guns as Grenada Army Base.
Grenada has 1500 guns, so Rockefeller has 2 * 1500 + 3000 = 3000 + 3000 = 6000 guns.
2. War tractors:
Rockefelle... | ibivibiv/math_instruct | |
Solve -t - 25*k = -21*k - 12, -15 = -5*k for t.\n | 0\n | ibivibiv/math_instruct | |
Solve 4*s - 8*s - 4*w - 20 = 0, 5*s - 5*w = 15 for s.\n | -1\n | ibivibiv/math_instruct | |
Which is smaller: -1/8 or 26885?\n | -1/8\n | ibivibiv/math_instruct | |
Let m(y) = 13*y. Let n(k) = -323069*k. Give n(m(d)).\n | -4199897*d\n | ibivibiv/math_instruct | |
Let r(a) = -2*a. Let n be 1/(3 - (-77)/(-26)). Let t(y) = -2 - 1 + 3 - n*y. Calculate r(t(f)).\n | 52*f\n | ibivibiv/math_instruct | |
Suppose 4*v - 54 = 3*u, 18 = -9*u + 8*u - v. Put 7, u, -1 in decreasing order.\n | 7, -1, u\n | ibivibiv/math_instruct | |
Solve -12*k + 11*k + 1 = 0 for k.\n | 1\n | ibivibiv/math_instruct | |
Let j = -23/20 - 1/10. Let b = 5 - 0. Suppose 0 = a + b - 7. Sort a, -2/7, j in increasing order.\n | j, -2/7, a\n | ibivibiv/math_instruct | |
Let o = -1410 - -2578. Suppose 6*u + 382 = o. What is the hundreds digit of u?\n | 1\n | ibivibiv/math_instruct | |
In base 16, what is -1b8 + -366a?\n | -3822\n | ibivibiv/math_instruct | |
Round 94.638552 to the nearest integer.\n | 95\n | ibivibiv/math_instruct | |
Let c(k) = k**2 - 3*k - 5. Let n be (10/(-4))/((-1)/2). Let u be c(n). Suppose u*y - 32 = -7. Is y a multiple of 2?\n | False\n | ibivibiv/math_instruct | |
What is 15/4 of a kilometer in meters?\n | 3750\n | ibivibiv/math_instruct | |
What is 400 minutes after 10:48 AM?\n | 5:28 PM\n | ibivibiv/math_instruct | |
Convert -2667d (base 15) to base 13.\n | -43c81\n | ibivibiv/math_instruct | |
What is 235 (base 13) in base 15?\n | 1a7\n | ibivibiv/math_instruct | |
Let y = -23 - -15. Suppose 0 = 5*g + 7 + 23. Let b = g - y. What are the prime factors of b?\n | 2\n | ibivibiv/math_instruct | |
What is -11.592 times -0.4?\n | 4.6368\n | ibivibiv/math_instruct | |
Find the common denominator of 18/436367 and -101/294.\n | 128291898\n | ibivibiv/math_instruct | |
Three letters picked without replacement from olqclqfqlqllllloq. Give prob of picking 1 l and 2 q.\n | 2/17\n | ibivibiv/math_instruct | |
Let w be ((-2)/8)/(7/(-14)). Sort w, 0, 0.4 in decreasing order.\n | w, 0.4, 0\n | ibivibiv/math_instruct | |
Let a(v) = 3*v - 1. Let s be (1 + 0)/(2*(-5)/10). Give a(s).\n | -4\n | ibivibiv/math_instruct | |
(-10)/1*7/(-42)\n | 5/3\n | ibivibiv/math_instruct | |
Let o = -3 - -3. Let z = o - 0. Let k = 0.1 - z. Which is the biggest value? (a) 0 (b) 2/3 (c) k\n | b\n | ibivibiv/math_instruct | |
Suppose -r - 3 = -7. Suppose -r*t + 12 = -2*t + 4*n, -n = -3*t + 4. Suppose c - 5 = -b, -c = 3*c + t*b - 26. Is 3 a factor of c?\n | False\n | ibivibiv/math_instruct | |
Factor 3*l**2 + 582*l + 3384.\n | 3*(l + 6)*(l + 188)\n | ibivibiv/math_instruct | |
Is 282 a multiple of 12?\n | False\n | ibivibiv/math_instruct | |
Expand (0*l + l + 4*l)*(-4 + 1 + 4)*(-16 + 4 + 43)*(5 - 1 + 5).\n | 1395*l\n | ibivibiv/math_instruct | |
Calculate (-4152)/(-1730)*(-10)/6.\n | -4\n | ibivibiv/math_instruct | |
Let i = 6.6 - 4. Let o = -52147 - -573615/11. Which is the second smallest value? (a) -3/8 (b) i (c) o\n | c\n | ibivibiv/math_instruct | |
Rearrange (5 + 2 - 5)*(7 - 7 - h) + 4*h - 5*h - 8*h + (2 + 2*h - 2)*(1 - 3 + 6) to q*h + k and give q.\n | -3\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 2, -5, -0.1, -1/4, 0.2, -3260?\n | -1/4\n | ibivibiv/math_instruct | |
Which is the closest to 1/6? (a) -5 (b) 0.4 (c) 0 (d) 0.1\n | d\n | ibivibiv/math_instruct | |
Let w = -567/5 - -114. Sort -0.13, -2/15, w in increasing order.\n | -2/15, -0.13, w\n | ibivibiv/math_instruct | |
Calculate 0.02255*-562.\n | -12.6731\n | ibivibiv/math_instruct | |
What is the hundreds digit of 3890?\n | 8\n | ibivibiv/math_instruct | |
Collect the terms in -27*w**3 - 109*w**3 - 66*w**3 - 2*w - 2*w + 40*w**3.\n | -162*w**3 - 4*w\n | ibivibiv/math_instruct | |
Expand (-46 + 46 + y)*(3 - 3 - y**3 + (3*y**3 - 3*y**3 - y**3)*(0 - 2 + 0) - 2*y**2 - 4*y**3 + 2*y**2).\n | -3*y**4\n | ibivibiv/math_instruct | |
Let p(j) be the first derivative of -9619*j**4/4 - 3*j**3 + 27*j**2 - 2*j - 1350. What is the third derivative of p(m) wrt m?\n | -57714\n | ibivibiv/math_instruct | |
-1404 (base 6) to base 11\n | -301\n | ibivibiv/math_instruct | |
Let s = -29 + 34. Which is the smallest value? (a) s (b) 3 (c) 0.3\n | c\n | ibivibiv/math_instruct | |
Let x(c) = c**3 + 5*c**2 + 3. Let n be x(-5). Suppose 2*h - n*d = 10 - 1, 3*h - 14 = 5*d. Solve -j + 4 = h*j for j.\n | 1\n | ibivibiv/math_instruct | |
Suppose 5*p - 35 = -5*x, 0*p + x = 3*p - 5. Suppose -p*m + 29 + 19 = 0. Let z be m/(-56) + 4/14. Solve 4 = 4*n - z for n.\n | 1\n | ibivibiv/math_instruct | |
How many kilometers are there in 2207.628nm?\n | 0.000000002207628\n | ibivibiv/math_instruct | |
What is the second biggest value in -10.88, -10, 2/39?\n | -10\n | ibivibiv/math_instruct | |
Let d(c) = 4*c**4 - 990*c**3 - 2*c**2 - 6491*c - 30. Let l(z) = -z**4 + 2*z**3 + z + 6. Let s(q) = d(q) + 5*l(q). What is the second derivative of s(f) wrt f?\n | -12*f**2 - 5880*f - 4\n | ibivibiv/math_instruct | |
Simplify (5 + -4*(sqrt(343) + sqrt(343) + sqrt(343)*4 + -5 + sqrt(343) + sqrt(343)))**2.\n | -11200*sqrt(7) + 351857\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 109974?\n | 0\n | ibivibiv/math_instruct | |
What is the next term in -17493515, -34987011, -52480489, -69973943, -87467367, -104960755, -122454101?\n | -139947399\n | ibivibiv/math_instruct | |
Find the common denominator of -55/54 and -64/21.\n | 378\n | ibivibiv/math_instruct | |
Compute: $\frac{1}{5} + \frac{2}{5} + \frac{3}{5} + \dots + \frac{9}{5} + \frac{10}{5}$. | The given expression can be rewritten as $\frac{1+2+3+\dots+9+10}{5}$.
Using the formula for the sum of an arithmetic series, we have $\frac{\frac{10(10+1)}{2}}{5}=\frac{55}{5}=\boxed{11}$.
The answer is: 11 | ibivibiv/math_instruct | |
Simplify (((i/i**(2/5))/i*(i**(-8)*i*i)/i)/(i**(1/3))**(32/7))**(-11/5) assuming i is positive.\n | i**(10307/525)\n | ibivibiv/math_instruct | |
Let p be ((-1)/26)/((-453)/3926). Let j(h) be the first derivative of -37 - 5/8*h**2 + 1/16*h**4 + p*h**3 + 0*h. Solve j(a) = 0.\n | -5, 0, 1\n | ibivibiv/math_instruct | |
Solve -4/3*h**3 + 0 + 0*h + 4/3*h**4 - 4/3*h**2 + 4/3*h**5 = 0 for h.\n | -1, 0, 1\n | ibivibiv/math_instruct | |
Suppose 3*x - 59 = 4*k, -2*x - 48 = 5*k - 118. Let a be (3 - x/10)*8. Suppose -5*h + 5*b = -25, 4*b + 4 = -a. What is the units digit of h?\n | 3\n | ibivibiv/math_instruct | |
Let q(m) = 13*m**2 - 26. Let j(k) = -28*k. Give q(j(c)).\n | 10192*c**2 - 26\n | ibivibiv/math_instruct | |
Suppose -85 = -3*y - 1. Find t, given that -36 - y + 38*t - 12 - 118*t - 4*t**2 = 0.\n | -19, -1\n | ibivibiv/math_instruct | |
Suppose 130977 = s + 48*s. What is the thousands digit of s?\n | 2\n | ibivibiv/math_instruct | |
Let x = 1 - 5. Let a = 4 + x. Which is greater: a or -2?\n | a\n | ibivibiv/math_instruct | |
What is -18.229903 times -0.1?\n | 1.8229903\n | ibivibiv/math_instruct | |
Suppose 3*r - 2*r + 1 = y, -2 = -5*y + 2*r. Suppose y = k + 3*k. Suppose f + k*h = 2*h + 34, -3*h + 111 = 3*f. Is f a multiple of 16?\n | False\n | ibivibiv/math_instruct | |
Simplify ((s*s**(-23))/s)/(s*s**(-1/7)/s) assuming s is positive.\n | s**(-160/7)\n | ibivibiv/math_instruct | |
What is 473 minutes before 3:45 PM?\n | 7:52 AM\n | ibivibiv/math_instruct | |
Calculate 35027706 divided by 11675902.\n | 3\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Understanding Formulas in First Order Logic
I'm reading a text on Set Theory which states that any formula, say $\phi$, is ultimately built up from atomic sentences of form $x \in y$ and $x = y$ via the logical connectives... | When you encounter a formula such as $\phi(x,y,z)$ in the context of axiomatic set theory written in the language of first-order logic, it is indeed appropriate to interpret it as making a claim about membership and equality. The symbols $x$, $y$, and $z$ represent variables, while $\phi$ denotes a formula constructed... | ibivibiv/math_instruct | |
Is 15 a factor of 235065?\n | True\n | ibivibiv/math_instruct | |
Evaluate -1*((-12)/9)/(8/(-30)).\n | -5\n | ibivibiv/math_instruct | |
Let d = -9 - -4. Let j be (-1)/d + 4/(-20). Solve 3*k = -j*k for k.\n | 0\n | ibivibiv/math_instruct | |
Find the common denominator of -17/11 and -25/584.\n | 6424\n | ibivibiv/math_instruct | |
Let m(q) = -q. Let i(l) = 3599*l. Calculate m(i(r)).\n | -3599*r\n | ibivibiv/math_instruct | |
In base 9, what is -3555402 + 3?\n | -3555388\n | ibivibiv/math_instruct | |
Four letters picked without replacement from vjnenjjjvnnjj. Give prob of sequence jjje.\n | 1/143\n | ibivibiv/math_instruct | |
Suppose -3*x - 8 = 5*a + x, -2*x + 14 = -2*a. Let r = -7 - a. Let w(u) = 2*u**2 - 5*u + 3. Is w(r) a multiple of 6?\n | True\n | ibivibiv/math_instruct | |
Suppose -3*y - j + 6*j - 4 = 0, 2*j = -2. Let z(c) be the first derivative of -11*c**4/4 - 7*c**3/3 - c**2 + 3*c + 16. What is the tens digit of z(y)?\n | 4\n | ibivibiv/math_instruct | |
Let u be -6*(-5 + (-26)/(-4)). Let c(v) = v**3 + 8*v**2 - 10*v + 3. Let r be c(u). Let h = -54 - -57. Solve -2*w - 4*f - r = 0, -4 = h*w - f - 21 for w.\n | 4\n | ibivibiv/math_instruct | |
Let a = 842488/626961 + -139/103. What is the common denominator of a and 37/24?\n | 48696\n | ibivibiv/math_instruct | |
What is the value of $1^{234} + \frac{4^6}{4^4}$? | Any number raised to the power of 0 is 1, so $1^{234} = 1$.
$\frac{4^6}{4^4} = \frac{4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4}{4 \cdot 4 \cdot 4 \cdot 4} = 4 \cdot 4 = 16$.
Therefore, $1^{234} + \frac{4^6}{4^4} = 1 + 16 = \boxed{17}$.The answer is: 17 | ibivibiv/math_instruct | |
Suppose -2*q - 200 = -2*y, 3*y + y = -3*q - 279. Let c = q + 4032. Is c a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose -7*w + 20 = -3*w. Let h = w - 0. Suppose 2*j = 3*j - h. Solve 0 = -3*q + 2*y - 3, -4*q - y = q + j for q.\n | -1\n | ibivibiv/math_instruct | |
Let v(q) = -2*q - 3. Suppose l + 0*l + 9 = -d, 4*l + 6 = 2*d. Let r(y) be the second derivative of y**3/6 + 3*y**2/2 - 2*y + 718. What is l*r(m) - 3*v(m)?\n | 2*m - 3\n | ibivibiv/math_instruct | |
b"What is the rth term of -7, -81, -277, -655, -1275, -2197, -3481?\n" | -10*r**3 - r**2 - r + 5\n | ibivibiv/math_instruct |
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