. Suppose z*h + 5*m = 6, 2*h - 2*m + 5*m - 2 = 0. Suppose -4 = 2*d, -4*g + 84 = h*d - 2*d. What is the remainder when 42 is divided by g?
20
Suppose 4*v + 6935 = 77*v. Calculate the remainder when v is divided by 20.
15
Suppose -5*l + 9*l - 128 = 0. Let w = -11 + l. Let o(z) = -5*z**3 + z**2 + 8*z + 3. What is the remainder when o(-3) is divided by w?
18
Let q = -40 + 48. Let p = q - -2. What is the remainder when p is divided by 4?
2
Suppose 0 = 2*q - 7*w + 2*w + 9, -w + 1 = 0. Let o(c) = c - 3. What is the remainder when 13 + q + 36/(-12) is divided by o(6)?
2
Let f = -140 + 211. Let i = -19 + f. Calculate the remainder when i is divided by 15.
7
Let l be 8/10 + 68/(-10). Let o = 15 + l. Let w = 23 + -8. What is the remainder when w is divided by o?
6
Let s(k) = k**2 - 2*k - 4. Let y be s(3). What is the remainder when 5 is divided by (2 + y)/(9/45)?
0
Let x = 180 - 120. Suppose 0 = 2*i - 5*i + x. Let t(b) = -30*b - 2. What is the remainder when t(-2) is divided by i?
18
Let p(b) be the second derivative of -b**4/12 - 11*b**3/6 - b**2/2 + 9*b. Calculate the remainder when 84 is divided by p(-6).
26
Let j(u) = 2*u**2 + 10*u - 13. Calculate the remainder when j(17) is divided by 92.
91
Let y(w) = 8*w + 395. Calculate the remainder when 181 is divided by y(-49).
1
Let p = -4 + 7. Suppose -41 = -4*c + p*q + 45, 117 = 5*c + q. Suppose 4*t - 7 - 26 = 3*i, 2*i + 2 = t. Calculate the remainder when c is divided by t.
11
Let r(h) = 2*h**2 + 2*h. Let a be r(-3). Let f = 22 - a. What is the remainder when f is divided by 4?
2
Let z(h) = -4*h**2 - 62*h - 100. What is the remainder when z(-12) is divided by 54?
14
Suppose -32 = -2*u + 18. What is the remainder when (-15)/u + 78/5 is divided by 8?
7
Let l(o) = 158*o - 33. What is the remainder when l(1) is divided by 44?
37
Let y(b) = 2*b**3 - 28*b**2 + 31*b + 18. Calculate the remainder when y(13) is divided by 18.
11
Let i = 34 + -33. Suppose k - 3 = i. Calculate the remainder when 9*(0 - -1 - 0) is divided by k.
1
Let g = 54 - 57. What is the remainder when 127 is divided by (4/18*g)/((-6)/234)?
23
Calculate the remainder when 110 is divided by (3 + -8 + (-18)/2)/(-2).
5
Let h = 568 - 382. Calculate the remainder when (h - 3) + (0/3)/2 is divided by 31.
28
Let v = -79 - -51. Let p = -13 - v. Calculate the remainder when 53 is divided by ((-112)/(-10))/(6/p).
25
Suppose -4*b = 3*t - 152, t + 0*t - b = 53. Suppose 0*h = 4*h + 4*m - 44, m = 0. Calculate the remainder when t is divided by h.
8
Suppose -4*s + 32 = -4*j, 0 = 2*s - 2 - 8. Let f(z) = -4*z. Let x be f(j). What is the remainder when (2 + (-12)/8)*x is divided by 4?
2
Suppose -h = -31*c + 13*c + 4984, 0 = -2*c + h + 552. Let b(o) = o**2 - 8. Calculate the remainder when c is divided by b(-6).
25
Let c(y) = 3*y**3 - 4*y**2 - 9*y. Let p(d) = d**3 - d + 1. Let l(v) = c(v) - 4*p(v). What is the remainder when 31 is divided by l(-4)?
15
Let r = 30 - 0. Let x(y) = -3*y**3 + y + 1. Let s be x(-1). Suppose s*m + 273 = 4*t - 206, -362 = -3*t + 5*m. Calculate the remainder when t is divided by r.
29
Suppose -5*a + 123 = 3*y, y - 50 - 27 = -3*a. Let h be 2/9 - (-673)/9. Suppose 0 = t - 6*t + h. Calculate the remainder when a is divided by t.
12
Let c = 294 - 284. Let m(k) be the second derivative of -5*k**3/6 - 3*k**2 + 2*k. What is the remainder when m(-9) is divided by c?
9
Let d = -7 - -7. Suppose k - 2 = -d, 102 = 5*b - 4*k. Suppose 2*x + 2*x - t = 250, -3*x + t + 187 = 0. What is the remainder when x is divided by b?
19
Suppose 3*g = 16 + 56. What is the remainder when (-794)/(-9) - (-4)/(-18) is divided by g?
16
Let w = 323 + -217. Let q = 161 - w. Calculate the remainder when q is divided by 19.
17
Let a be 6*11/4*2. Let l = a - 22. Suppose 45 + 123 = 4*b. What is the remainder when b is divided by l?
9
Suppose 4*x + 35 = -2*y + 7*y, 3*y = 5*x + 34. Let k be y/4*(13 - 1). Suppose 6*o - k*o = -66. Calculate the remainder when o is divided by 8.
6
Suppose -427 = 9*d - 598. What is the remainder when d is divided by 15?
4
Suppose 2*i - k - 6 = 66, 0 = -5*k. What is the remainder when 211 is divided by i?
31
What is the remainder when 172 is divided by (-3)/((-182)/638 - (-24)/132)?
27
Let j(o) = -13*o + 31. Let w be j(-8). Let y = w - 78. What is the remainder when y is divided by 12?
9
Suppose -5*z = -16 - 4. Suppose -2*g + 1 + 3 = 0. What is the remainder when z is divided by g?
0
Let o = 19 - 4. Let m(p) = -25*p**3 - p**2 + 2*p - 1. Let k be m(1). Let d = 54 + k. What is the remainder when d is divided by o?
14
Calculate the remainder when 2138/14 - (-124)/434 is divided by 26.
23
Suppose 4*s = 8 + 4, -3*h = 2*s - 369. Let b = -116 + h. Let q(i) = -i**3 + 6*i**2 + 3*i - 3. Calculate the remainder when q(6) is divided by b.
0
Suppose -2*i = -2*j + 4*j + 6, -5*j - 7 = 3*i. Suppose -308 = 14*r - 1568. What is the remainder when r is divided by -4 + 3 - (j + -25)?
21
Let w(g) = -g + 36. Let q be w(0). Let a = -29 + q. Calculate the remainder when 40 is divided by a.
5
Suppose 3*h - 101 = 5*d, 0 = -h - 0*h + d + 31. Let y = 46 - h. What is the remainder when y is divided by 10?
9
Let v(l) = l + 26. Let y be v(-24). Suppose -5*x = -0*w + w - 49, y*w - 43 = x. Calculate the remainder when 93 is divided by w.
21
What is the remainder when (-1)/2 + ((-1470)/12)/(-5) is divided by 6?
0
Suppose -5*h + 435 = -7*b + 2*b, -4*h + b = -357. Suppose -h = 2*l - 7*l. Let p = l - 11. Calculate the remainder when 13 is divided by p.
6
Suppose 0*z - z - 3*q + 39 = 0, 0 = z + 4*q - 44. Let d = -1 - -10. What is the remainder when z is divided by d?
6
Let q(t) = t**3 - 3*t**2 - 3*t - 1. Suppose 0*a - 8 = -4*a + y, -4*a = 5*y + 16. What is the remainder when 15/(5/1)*(a + 1) is divided by q(4)?
0
Let s be (-2)/(-10) - (-5)/(-25). Let c = 16 + 10. Calculate the remainder when (-1)/(-1)*102 + s is divided by c.
24
Suppose 150*b = 103*b + 42206. What is the remainder when b is divided by 60?
58
Let o(r) = -7*r + 24. Let f be o(5). Let q = f + 47. Suppose 5*x - 97 = 2*v, -2*x + 4*x - 42 = 4*v. Calculate the remainder when q is divided by x.
17
Suppose -h - 198 = -544. Calculate the remainder when h/(-3)*(65/(-10) - -5) is divided by 22.
19
Suppose -105 = 2*i + 175. Let p = 211 + i. Calculate the remainder when p is divided by 36.
35
Suppose 4*x - 117 = -1. Let p(d) = d**3 - d**2 + 2*d + 8. Calculate the remainder when x is divided by p(0).
5
Let j(q) = -5*q**3 + 27*q**2 + 2*q - 3. Suppose -v + 4*r = -2 + 10, 2 = r. Calculate the remainder when j(5) is divided by (-15)/4*(v - 4).
12
Suppose 2*i + 3*d - 6*d = 230, -120 = -i + 4*d. Let n(a) = -2*a**2 - 21*a - 17. What is the remainder when i is divided by n(-8)?
20
Let u be (-1)/(3/(-5) - (-40)/150). Suppose 2*z - 4*y - 88 = 0, 0 = u*z + 3*y - y - 132. Calculate the remainder when z is divided by 15.
14
Suppose -5*v = 2*y + y - 42, 0 = 4*v - 2*y - 16. Calculate the remainder when 104/6*v/4 is divided by 100/5 + -1 + -10.
8
Let g be (-192)/14 - (-3)/((-126)/12). Let x = 34 + g. What is the remainder when x is divided by 14?
6
Let f(z) = 4*z - 21. Let r be f(16). Let l = r + -27. Calculate the remainder when ((-87)/(-9))/((-2)/(-6)) is divided by l.
13
Suppose -2*v - 4 = -12. Suppose -2*q - 5*c = -56 + 9, -v*q + 105 = -c. Let a = -9 + q. Calculate the remainder when 67 is divided by a.
16
Let w = 333 + -319. Calculate the remainder when 41 is divided by w.
13
Suppose -46 = -4*c - 5*k, 0 = 3*c + 28*k - 30*k - 46. What is the remainder when ((-18)/(-8))/(3/72) is divided by c?
12
Let p = 87 - 15. Calculate the remainder when p is divided by 160/4*(-21)/(-42).
12
Suppose 5*x = 717 - 127. What is the remainder when x is divided by 20 + -3 + -2 + 9/1?
22
Suppose -16*n + 153 = -13*n. Calculate the remainder when 100 is divided by n.
49
Suppose -5*v = -497 - 73. Let u = v - 61. Calculate the remainder when 51 is divided by (-2)/4 + u/2.
25
Suppose -12 = -4*c - 0*c, 5*w - 966 = 3*c. Suppose -o - a + w = o, 4*a + 507 = 5*o. What is the remainder when o is divided by 25?
24
Let a = -1359 - -1365. What is the remainder when 230 is divided by a?
2
Suppose 4*z = o + 67, 0 = z + o + 4 - 17. Calculate the remainder when (43*-1)/((-8)/z) is divided by 22.
20
Let d(t) be the third derivative of -t**4/24 + 5*t**3/2 + 2*t**2. What is the remainder