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What is the remainder when (-35 - -316)*(0 + 1) + 1 is divided by 156?\n
126\n
ibivibiv/math_instruct
Convert -1002121122 (base 3) to base 2.\n
-101010001010110\n
ibivibiv/math_instruct
Let b(o) = -4*o + 69. Let f be b(16). Let t be (f/(-10))/(4/(-24)). Solve 0 = -t*l - 4*s + 1, s = -l - 3 + 2 for l.\n
-5\n
ibivibiv/math_instruct
Collect the terms in 382858*i**2 + 81*i**3 - 765716*i**2 + 382858*i**2.\n
81*i**3\n
ibivibiv/math_instruct
1748+1.072\n
1749.072\n
ibivibiv/math_instruct
Suppose 81*o + 550*o = -73*o + 1051776. What is the greatest common factor of 36 and o?\n
18\n
ibivibiv/math_instruct
Let r(o) = 3*o - 15. Let d be r(4). Let a = d - -26. Suppose a = 5*w - 27. What is the least common multiple of w and 60?\n
60\n
ibivibiv/math_instruct
Let r(n) = -n**2 - 20*n + 44. Suppose 2*h + 0 = -8. Let x(s) = s**2 - s + 1. Let z(p) = h*x(p) - r(p). Suppose z(b) = 0. Calculate b.\n
4\n
ibivibiv/math_instruct
Let f(l) = -l**3 - 5*l**2 - 6. Suppose -3*w + 7 = -2*h, 5*w + 23 = -4*h + 2*w. Calculate f(h).\n
-6\n
ibivibiv/math_instruct
What comes next: 716588, 1433136, 2149684, 2866232, 3582780?\n
4299328\n
ibivibiv/math_instruct
Rearrange (0 + 0 + 2*t)*(t**3 - 1 + 1) + 126*t + 19*t**4 - 126*t to k*t**3 + z*t**2 + u*t + f + s*t**4 and give s.\n
21\n
ibivibiv/math_instruct
What is 32 - (-16 - -31) - (11 + -1) - (-45 + 8)?\n
44\n
ibivibiv/math_instruct
Find the first derivative of 39242520*c - 93696114.\n
39242520\n
ibivibiv/math_instruct
Solve 8*t - 2 - 11 = -5*q + 6*t, 6*t + 4 = 2*t for q.\n
3\n
ibivibiv/math_instruct
What is the greatest common factor of 50 and 80?\n
10\n
ibivibiv/math_instruct
What is 0.000127141516 rounded to 5 dps?\n
0.00013\n
ibivibiv/math_instruct
84466 (base 10) to base 9\n
137771\n
ibivibiv/math_instruct
What is (-9*1/3)/((-2)/2)?\n
3\n
ibivibiv/math_instruct
Let s = -1760.304 + 1776. Let w = s + 0.104. Let b = w + -22. Round b to zero decimal places.\n
-6\n
ibivibiv/math_instruct
Dick and Jane each saved $1000 in 1989. In 1990, Dick saved 15 percent more than in 1989, and together he and Jane saved a certain amount. Jane saved approximately 15 percent less in 1990 than in 1989. How much did Dick and Jane save together in 1990?
Let's calculate how much Dick saved in 1990 first. He saved 15 percent more than in 1989, so: Dick's savings in 1990 = $1000 + (15/100 * $1000) Dick's savings in 1990 = $1000 + $150 Dick's savings in 1990 = $1150 Now let's calculate how much Jane saved in 1990. She saved approximately 15 percent less than in 1989, so...
ibivibiv/math_instruct
Put -18, -1, -4, -2 in decreasing order.\n
-1, -2, -4, -18\n
ibivibiv/math_instruct
Let a(f) = 0*f + 11*f - 20*f + 5*f. Let b(l) = 12*l. Let i = 20 + -3. Let q(w) = i*a(w) + 6*b(w). Let m(p) = p. What is m(q(z))?\n
4*z\n
ibivibiv/math_instruct
Let l = 0.21 + -0.41. What is the smallest value in l, 2/11, 3?\n
l\n
ibivibiv/math_instruct
Let x = -272 + 276. Let p = 31 + -10. List the prime factors of x/6 - (-238)/p.\n
2, 3\n
ibivibiv/math_instruct
Let x(l) = 3*l. Let f = -25 - -20. Let m(k) = -6*k + 1. What is f*x(q) - 2*m(q)?\n
-3*q - 2\n
ibivibiv/math_instruct
((-2990)/2691)/((-2)/(-18))\n
-10\n
ibivibiv/math_instruct
Let o(q) = q**2 - 8*q + 9. Let s be o(7). Find the second derivative of 2 + 1 - 3 - 3*p - 3*p**s wrt p.\n
-6\n
ibivibiv/math_instruct
Let u = -0.46 - -0.06. Let g = 4 - 3.95. Let j = g + 1.95. What is the third smallest value in -1, u, j?\n
j\n
ibivibiv/math_instruct
Simplify ((n**(1/4)/n)/(n*(n*n**(-2))/n)*(n/n**5)/((n/n**(-9/4))/n))**(-46) assuming n is positive.\n
n**276\n
ibivibiv/math_instruct
What is the third biggest value in -0.1, 3, -1143?\n
-1143\n
ibivibiv/math_instruct
Let d(c) = -7*c**2 - 8*c. Let w be d(-4). Let j be (-484)/(-10) - (-32)/w. Calculate the greatest common divisor of 36 and j.\n
12\n
ibivibiv/math_instruct
Multiply 14384 and 49.\n
704816\n
ibivibiv/math_instruct
Let g be 0 + 1 - (-2)/(-6). Let u = -2329/7 + 333. Sort 2, u, g in decreasing order.\n
2, g, u\n
ibivibiv/math_instruct
Convert a04 (base 14) to base 13.\n
b81\n
ibivibiv/math_instruct
Let m = -306803 - -539088. Is m a composite number?\n
True\n
ibivibiv/math_instruct
Let w(v) be the second derivative of -v**4/3 - 7*v**3/6 - 5*v**2/2 + 2*v + 13. Let l(m) = -9*m**2 - 15*m - 11. Give -6*l(y) + 13*w(y).\n
2*y**2 - y + 1\n
ibivibiv/math_instruct
Four letters picked without replacement from ssttssttvvsssp. What is prob of sequence psvv?\n
1/1716\n
ibivibiv/math_instruct
Simplify 1 + (sqrt(84)*1*-5 + 6*(sqrt(84) - sqrt(84)*-2) + sqrt(84))/(2*sqrt(847)*4).\n
7*sqrt(3)/22 + 1\n
ibivibiv/math_instruct
Let j = 8 + 0. Let m(l) = -10 + 16*l - 18*l - 8. What is the lowest common multiple of m(-14) and j?\n
40\n
ibivibiv/math_instruct
What comes next: 16, 41, 82, 139, 212, 301, 406?\n
527\n
ibivibiv/math_instruct
Find the common denominator of -61/318 and -101/14.\n
2226\n
ibivibiv/math_instruct
-0.055798*0\n
0\n
ibivibiv/math_instruct
Convert 0.6059017 kilograms to grams.\n
605.9017\n
ibivibiv/math_instruct
Suppose 2*q + 16 = 5*k + 5, 3*q + 9 = 5*k. Suppose -5*j + 1 = -k*f, 3*j - 4 = 3*f + j. Let u = -2 - f. What is the smallest value in u, -5, 3/4?\n
-5\n
ibivibiv/math_instruct
Expand (43*k - 9*k**2 - 43*k)*(k**2 + k - k) - 2*k**4 - 2*k**4 + 3*k**4.\n
-10*k**4\n
ibivibiv/math_instruct
What is the hundreds digit of 1550?\n
5\n
ibivibiv/math_instruct
What is the hundreds digit of 25862?\n
8\n
ibivibiv/math_instruct
Is 69596869 prime?\n
True\n
ibivibiv/math_instruct
Let d(r) = 2*r - 6. Suppose -44 = 5*b - 59. Suppose 0 = -5*l + y - 279, l - 7*y + 52 = -b*y. Let j be (-18)/81 + (l/(-9) - 1). Calculate d(j).\n
4\n
ibivibiv/math_instruct
Let l(f) = 2*f**2 - 78*f + 74. Let z be l(38). Let m(v) = -13*v - 15. Let a(o) = 3*o + 4. Give z*m(g) - 9*a(g).\n
-g - 6\n
ibivibiv/math_instruct
Suppose 1 = -u - 5*i, -43 = -2*u - 0*u - i. What is the first derivative of -26 - 49 + u - 18 + 39*t wrt t?\n
39\n
ibivibiv/math_instruct
Which is the closest to 1? (a) -5 (b) -4/9 (c) -222 (d) -2/21 (e) 1.3\n
e\n
ibivibiv/math_instruct
Is (-9)/(-36) - 190/(-8) a multiple of 14?\n
False\n
ibivibiv/math_instruct
Sort 469, -36, 4, -1 in ascending order.\n
-36, -1, 4, 469\n
ibivibiv/math_instruct
What is 481 minutes before 7:31 PM?\n
11:30 AM\n
ibivibiv/math_instruct
What is the greatest common factor of 183 and 207?\n
3\n
ibivibiv/math_instruct
Calculate the remainder when 4444 is divided by 4.\n
0\n
ibivibiv/math_instruct
Let j = -10 - -40. Let l be (-10)/25 + 44/10. Suppose l*u - 66 = j. What is the greatest common factor of 12 and u?\n
12\n
ibivibiv/math_instruct
What is 4 - (-5 + (1 - (1 + -4)))?\n
5\n
ibivibiv/math_instruct
Solve 51*u = 50*u + 8*o - 12*o - 38, -4 + 65 = -2*u - 5*o for u.\n
-18\n
ibivibiv/math_instruct
Suppose 2*r + 58 = 348. Let h = 2768 + -2515. Let c = h - r. Is c a multiple of 36?\n
True\n
ibivibiv/math_instruct
Collect the terms in -5963*k - 5974*k - 14 - 5978*k + 17916*k + 14.\n
k\n
ibivibiv/math_instruct
Calculate 1184 divided by 6.\n
592/3\n
ibivibiv/math_instruct
Let l(n) = 12*n**2 + 1. Let m be l(1). What is the second derivative of 11*d**4 - 4*d - m*d**4 + 3*d wrt d?\n
-24*d**2\n
ibivibiv/math_instruct
Let b = -270 + 270.444. Let t = b - 0.444. Let a be (3/4)/((-2)/8). What is the nearest to 2 in a, 5, t?\n
t\n
ibivibiv/math_instruct
Convert 0 (base 10) to base 12.\n
0\n
ibivibiv/math_instruct
What is the nearest to -0.2 in 4, 0.846, 5, 211?\n
0.846\n
ibivibiv/math_instruct
Is 1554337 a prime number?\n
False\n
ibivibiv/math_instruct
Let c = 39 + -36. Suppose -c*z = 2*z - 5. Solve -2*o = 2, x - 5*o - z = 5*x for x.\n
1\n
ibivibiv/math_instruct
What is the second biggest value in -0.4, -48, -1?\n
-1\n
ibivibiv/math_instruct
Let b(c) be the first derivative of c**2/2 + 40*c + 2541. Let u(n) = -2*n**2 - 2*n. What is u(b(g))?\n
-2*g**2 - 162*g - 3280\n
ibivibiv/math_instruct
Let t be 2*1 + 36/(-21). Which is the smallest value? (a) -0.4 (b) -1 (c) t\n
b\n
ibivibiv/math_instruct
Calculate the least common multiple of 2020284 and 2020284.\n
2020284\n
ibivibiv/math_instruct
Is (42/(-28))/((-239)/238 + 1) a multiple of 21?\n
True\n
ibivibiv/math_instruct
Let w = -0.138655 - -12.019105. Let l = w - 11.9. Round l to 4 decimal places.\n
-0.0196\n
ibivibiv/math_instruct
What is the result of the following expression? 53.552 % -97.917
-44.3650
ibivibiv/math_instruct
Suppose 3*u = -b + 11, 0 = 3*b - 3*u + 17 - 74. What is the remainder when b is divided by (3/4)/((-5)/(-60))?\n
8\n
ibivibiv/math_instruct
What is 203.166 - -527.271?\n
730.437\n
ibivibiv/math_instruct
Suppose 3*i + 1 = -4*v - 9, -5*i = 4*v + 6. Let x be (4/(-10))/(2/10). Let r be ((-14 + 8)/(3/x))/i. Solve -5*b - 3*y = 2*y, -r*b + 12 = -y for b.\n
4\n
ibivibiv/math_instruct
Find c such that 25*c**3 + 95785*c**2 + 420895*c - 287025 = 0.\n
-3827, -5, 3/5\n
ibivibiv/math_instruct
What is the tens digit of 2299?\n
9\n
ibivibiv/math_instruct
2*(-7)/(-14)*1\n
1\n
ibivibiv/math_instruct
Calculate prob of picking 1 w and 1 g when two letters picked without replacement from mgngwgnngn.\n
4/45\n
ibivibiv/math_instruct
Let y = -66 - -2. Let k be (13 - 13)/((-1)/(-1)). Let p = k - y. Is 8 a factor of p?\n
True\n
ibivibiv/math_instruct
Calculate prob of sequence fgjs when four letters picked without replacement from {s: 1, g: 1, j: 1, f: 2}.\n
1/60\n
ibivibiv/math_instruct
Suppose -4*b = -2*b + 10, 0 = -2*t + 5*b + 29. Let l(g) = 2*g**2 - 13*g + 2. Let c(k) = 2*k**2 - 13*k + 3. Calculate t*c(f) - 3*l(f).\n
-2*f**2 + 13*f\n
ibivibiv/math_instruct
What is the smallest common multiple of 2812 and 8?\n
5624\n
ibivibiv/math_instruct
What is the value of 0/(((-126)/(-70))/(9/(-30)))?\n
0\n
ibivibiv/math_instruct
Let c be 9/(36/(-8)) - -2*8. Calculate the highest common factor of 63 and c.\n
7\n
ibivibiv/math_instruct
What is the thousands digit of 30671097?\n
1\n
ibivibiv/math_instruct
Express -200*y**2 + 68316*y - 68316*y + (4*y - 4*y + 2*y)*(-y - 4*y + 4*y) + 2*y**2 + y**2 - 7*y**2 as u*y + n*y**2 + w and give n.\n
-206\n
ibivibiv/math_instruct
In base 6, what is -1 + 22544?\n
22543\n
ibivibiv/math_instruct
Work out 6215674 + 375.\n
6216049\n
ibivibiv/math_instruct
Work out -11923 * 14.94.\n
-178129.62\n
ibivibiv/math_instruct
Let n(c) = c**2 + 4*c + 3. Let l be n(-3). Suppose -7*q + p = -4*q - 13, l = -5*q - 3*p + 17. Calculate the highest common divisor of q and 44.\n
4\n
ibivibiv/math_instruct
What is 82433.95 tonnes in milligrams?\n
82433950000000\n
ibivibiv/math_instruct
Collect the terms in -1444 + 4*i + i**2 - 4*i + 1444.\n
i**2\n
ibivibiv/math_instruct
List the prime factors of 6333.\n
3, 2111\n
ibivibiv/math_instruct
Let f be (-12)/(-18)*15/2. Suppose 4*c + 3*g - 23 = 0, 5*c + f*g - g = 30. What is the second derivative of -3*l**c + 2*l**2 - 6*l + 9*l**2 wrt l?\n
16\n
ibivibiv/math_instruct
Let u(s) = -2*s**2 - 257*s - 1353. What is u(-123)?\n
0\n
ibivibiv/math_instruct