et i(o) = -o**3 - 8*o**2 - 8*o - 2. Let x be i(-7). Calculate the remainder when 21 is divided by ((-51)/(-9) - x)/((-1)/(-6)).
1
Let n(s) = 2*s**3 - 9*s**2 + 13*s + 10. Calculate the remainder when 25 is divided by n(2).
9
What is the remainder when 361 is divided by (-8)/(-10) + 0 + (-4080)/(-150)?
25
Let z = 7 - 4. Let r = 31 - 201. Let d = 176 + r. Calculate the remainder when d is divided by z.
0
Let g(q) = 2*q**2 + 14*q - 8. Calculate the remainder when 149 is divided by g(-8).
5
Let b(f) = f**2 + 2*f - 12. Suppose 0*j + 50 = -5*j. Suppose 45 = 4*k - 27. What is the remainder when b(j) is divided by k?
14
Let i(q) = -2*q + 12. Let s be i(-4). Suppose 2*o = o + 3. Suppose 0 = -o*r - 2*r + s. Calculate the remainder when r is divided by 1.
0
Let c(t) = -29 - 33 + 16*t**3 + 2*t**2 + 63 + t. Let u be c(-1). What is the remainder when 38 is divided by (u/(-5))/((-3)/(-15))?
10
Let y(w) = -6*w - 3. Suppose 10*p - 11*p = -6. Suppose 0 = n + n + p. Calculate the remainder when y(n) is divided by 9.
6
What is the remainder when 101 is divided by 1*23 + (48 - 53)?
11
Let g(p) be the first derivative of -8/3*p**3 - 1 - 11*p + 1/4*p**4 + 9/2*p**2. Calculate the remainder when 5 is divided by g(7).
2
Suppose 5*t + 1 = 6. Suppose 0 = -19*f + 20 + 75. Calculate the remainder when f is divided by t.
0
Let n(k) = -k**2 - 4*k + 16. Let u be n(-6). Suppose -u*v + 119 = 23. Let x = 23 + -14. Calculate the remainder when v is divided by x.
6
Suppose -168*p = -176*p + 2136. What is the remainder when p is divided by 54?
51
Let a(n) = -n**2 - 9*n - 15. What is the remainder when (6/8)/((-2)/(-312)) is divided by a(-4)?
2
Suppose 5*c + 69 - 19 = 0. Let g = -16 - c. Let d = -2 - g. Calculate the remainder when 9 is divided by d.
1
Suppose 3*s + 10 = 8*s. Let q(u) = -5*u**2 + 4*u - 2. Let x be q(s). Let p = 32 + x. What is the remainder when 32 is divided by p?
14
Suppose 2*o - 12 - 62 = 0. Suppose 4*v + 3*w - 13 = 16, -4*v + 27 = 5*w. Calculate the remainder when 16/24 - (0 + o/(-3)) is divided by v.
5
Let q = 237 + -200. Calculate the remainder when 367 is divided by q.
34
Calculate the remainder when 81 is divided by 7 + (-6 - 4) + 6.
0
Suppose 0 = -w - 3 + 19. Let r = -72 + 37. Let v = r - -97. What is the remainder when v is divided by w?
14
Suppose 9*w - 1582 = 92. What is the remainder when w is divided by 74?
38
Suppose c - 224 = -3*x - 0*c, 3*c = -2*x + 147. Calculate the remainder when x is divided by 6.
3
Suppose -3*s - s - 8 = -2*o, -3*o + 24 = -2*s. Let j = -1263 + 1267. Calculate the remainder when o is divided by j.
2
Let n = 13 + -13. Suppose 4*l - 2*z - 140 = n, 2*z = -3*z + 20. Suppose -5*u - 2 + 40 = 2*r, 19 = r + 3*u. Calculate the remainder when l is divided by r.
18
Suppose -2*y = n + 3*y - 12, 4*y + 30 = n. Suppose -19*m + 2370 = 945. What is the remainder when m is divided by n?
9
Suppose 4*i - 178 - 234 = 0. Calculate the remainder when i is divided by 156/9*(-3)/(-2).
25
What is the remainder when (-13 - -6)/(2/(-14)) is divided by (340/180)/((-3)/(-27))?
15
Suppose c + 88 - 286 = 3*n, 3*n + 15 = 0. What is the remainder when c is divided by 37?
35
Suppose 8*d + 8*d = 2800. Let a = d - 146. What is the remainder when 141 is divided by a?
25
Calculate the remainder when 429 is divided by 5 - (4 + -12 + 1).
9
Suppose 0 = 3*i - 4*t - 62, 4*i + 2*t - 36 = -2*t. Let c = -11 + i. Suppose 0 = -c*m + 5 + 4. Calculate the remainder when 9 is divided by m.
0
Calculate the remainder when (-45)/27*(-216)/5 is divided by 26.
20
Let q = -35 - 16. Let j = q - -70. What is the remainder when 113 is divided by j?
18
Let f = -77 + 81. Suppose f*n = 261 - 45. Calculate the remainder when n is divided by 20.
14
Suppose -4*n = 3*t - 204 + 44, -80 = -2*n - t. What is the remainder when n is divided by (-3)/(-6)*-2*-22?
18
Let b = 10 - 8. Suppose b*c + 96 = 4*m, 52 = 2*m - 0*c - 3*c. Suppose 14 = 3*r - 5*q, -6*q = -r - 2*q. Calculate the remainder when m is divided by r.
7
Suppose -3*m + 2*b = -7 - 16, -2*m = -3*b - 12. Suppose -15*y + 234 = -m*y. Calculate the remainder when y is divided by 14.
11
Let i(u) = -2*u**2 + 2*u. Let m be i(4). What is the remainder when 13 is divided by (m/(-10))/((-22)/(-55))?
1
Let s(f) = -2*f**3 + 143*f**2 + 74*f - 102. What is the remainder when 182 is divided by s(72)?
14
Suppose 2*p - 201 = 3*m, 4*m = m + 9. Suppose z + 159 = 5*o - p, 2*o - 3*z - 103 = 0. Calculate the remainder when o is divided by 18.
17
Let q(h) = h + 26. Let f be q(-18). Suppose 0 = f*k - 2*k - 150. Calculate the remainder when 44 is divided by k.
19
Let j be 0 + 0 + (4 - -2 - 3). Suppose 90 = j*o - 84. Calculate the remainder when o is divided by 15.
13
Let q be (-2)/(-11) + 1111/(-121). Let s = q - -9. Suppose s = -z + 2*z - 93. Calculate the remainder when z is divided by 24.
21
Let z(c) = -118*c - 576. Calculate the remainder when z(-13) is divided by 24.
22
Let u(h) = -12*h + 269. Calculate the remainder when u(19) is divided by 22.
19
Let j(y) = -y**3 + 13*y**2 - 2*y + 35. Suppose 4*o = 9 + 11. What is the remainder when j(13) is divided by o?
4
Let o = 350 + -234. What is the remainder when o is divided by 26?
12
Let h = -238 + 260. What is the remainder when 105 is divided by h?
17
Suppose -i + 2*g = -34, -178 = -4*i + 4*g - 34. Let s = 31 + -19. Suppose -3*b = s, 2*b + i = -5*f + 150. Calculate the remainder when f is divided by 13.
11
Suppose 3*n - 3*f = 7*n + 335, n - 3*f = -80. Let w = -66 - n. What is the remainder when 135 is divided by w?
16
Let v be 4 + -2 - 4 - 4. Let s = -2 + v. Let q = 19 - s. What is the remainder when 51 is divided by q?
24
Suppose 3*s + 240 = 2*s + 17*s. Suppose -3*p = -0 - 42. Let u = p + -5. Calculate the remainder when s is divided by u.
6
Let o = -243 + 251. What is the remainder when 14 is divided by o?
6
Let t(i) = 15*i - 41. Let j be t(-12). Let x = j + 345. What is the remainder when x is divided by 16?
12
Let d = 59 + -75. What is the remainder when (2/(d/38))/((-51)/408) is divided by 15?
8
Let k(z) = -4 - 1 - 2*z + 1 + 4*z. Let h be k(3). Suppose 45 = 3*f + 5*a - h*a, -4*f = -3*a - 32. Calculate the remainder when 64 is divided by f.
9
Suppose -q - 6*q = -308. Suppose -2*o + 166 = -92. What is the remainder when o is divided by q?
41
What is the remainder when 133 is divided by ((-22)/(-10) - 2) + (-24)/(-5)?
3
Suppose -23*h = -29*h + 270. Calculate the remainder when h is divided by 4.
1
Calculate the remainder when 23/(-2)*(-520)/52 is divided by 32.
19
Suppose -102 + 462 = 10*d. Suppose 36 = -0*o + o. Suppose 4*b + o = 3*t, -5*t + 28 = -2*b + 6*b. What is the remainder when d is divided by t?
4
Suppose 0 = -m - 4*q + 12, -q + 48 = 6*m - 2*m. Suppose 5*t = 48 + m. Let d(h) = -h**3 - 3*h**2 + 5*h - 2. Calculate the remainder when d(-5) is divided by t.
11
Suppose -87 - 52 = -2*i + 3*x, 0 = i + 4*x - 86. What is the remainder when 516 is divided by i?
72
Suppose 0 = -5*u - 5*j + 230, -7*j - 217 = 5*u - 9*u. Calculate the remainder when u is divided by 25*(-1 - -2) + 0.
24
Let h be 6/(-12)*2/3*6. Calculate the remainder when (h + -45)/((3 - 4)*1) is divided by 7.
5
Let q = 271 + -242. Let y(z) = 2*z**2 - 3*z - 2. Let w be y(-2). Let r = w + -2. What is the remainder when q is divided by r?
9
Let i = 190 + -164. What is the remainder when 74 is divided by i?
22
Let g = 488 - 335. What is the remainder when g is divided by 32?
25
Suppose -g - 2*g + 87 = v, 0 = 3*g - 2*v - 87. What is the remainder when 53 is divided by g?
24
Suppose 50*m - 47*m - 287 = -5*n, -n = m - 59. What is the remainder when n is divided by 32?
23
Suppose 5*g = 9*g. Let l be (3 + -4)*g/3. Suppose -3*r + n = -67, -4*n + l*n = 4*r - 116. Calculate the remainder when r is divided by 9.
6
Suppose 2*i = d - 0*d + 21, 3*i = 4*d + 39. Let q(s) = s + i*s - s. What is the remainder when q(3) is divided by 15?
12
Let o be 2/((-4)/(-6) - 1). Let v(j) = -32*j**2 + 162*j + 1. What is the remainder when v(5) is divided by 4*o*(-1)/8?
2
Suppose -5*y + 15 = -5*k, 0*y = y + k - 5. Suppose 7 = -4*a - 5. Calculate the remainder when 54 is divided by (y - (6 + a))*28.
26
Let t(j) = 3*j + 5. Let v be t(-6). Let p = v + 31. Calculate the remainder when 71 is divided by p.
17
Let y = 127 - 41. Calculate the remainder when y is divided by 42.
2
Suppose -5