 remainder when l is divided by 68 + -1 + 0/(-3)?
66
Let a(c) = c**3 + 9*c**2 + 8*c + 14. Let j be a(-7). Let t = j - 106. Let p = -38 - t. Calculate the remainder when 23 is divided by p.
11
What is the remainder when 24240/26 - (-1656)/(-5382) is divided by 449?
34
Let q(z) = -42 + 0*z + 14*z + 20 - 35 + z**2 + 0*z. What is the remainder when 164 is divided by q(-18)?
14
Let z = 8 + 0. Let r(f) = -27*f + 56. Let m be r(10). Let n = -177 - m. What is the remainder when n is divided by z?
5
Let a be (-528)/(-60)*10/4 - -4. Let z = a - -21. What is the remainder when z is divided by 26?
21
Let v(p) = -3*p**3 + 61*p**2 - 3*p - 205. Calculate the remainder when 388 is divided by v(20).
118
Suppose -5*m - 135 = -10*o, -2*m - 39 + 19 = -2*o. Calculate the remainder when o is divided by 7.
3
Let j(f) = -2*f**3 - 15*f**2 + 20*f - 17. Let y be j(-9). Suppose -r - 900 = -y*r. What is the remainder when 238 is divided by r?
18
Let j = 2046 + -653. Calculate the remainder when j is divided by 107.
2
Let i be (-6)/((-54)/207)*(8 - 1). Suppose -5*y - 3*p + 7*p + i = 0, 2*y - p = 65. Let a(x) = -x + 12. What is the remainder when y is divided by a(0)?
9
Suppose 0 = -2*p - 5*q + 61, 10*p + 17*q = 13*p - 165. What is the remainder when 283 is divided by p?
17
Let j be (-4 - -2)*(2 + -3). Suppose -3*o = j*o - 10. Suppose o*k = -2*u + 52, -k + 5*u + 46 = u. What is the remainder when k is divided by 8?
6
Suppose 83*b = 81*b + 8. Suppose -b*j = 128 - 404. Suppose 0 = -4*z + 2*w + 42, 6*z - z - 52 = 2*w. What is the remainder when j is divided by z?
9
Suppose 7*a - 15 = 2*a. Suppose -b + a*w - 12 = 0, 3*b = -w + 18 - 4. Suppose -2*i + 485 = b*i. Calculate the remainder when i is divided by 20.
17
Let t(z) = -4*z**2 + 3. Let s be t(-1). Let l = 30 + 42. What is the remainder when l is divided by (3 - s) + (-22)/(-2)?
12
What is the remainder when 1648 is divided by 32956/660 - (-1)/15?
48
Let c = -76 + 79. Let u be c/(-1) + (-144)/(-9). Suppose 311 = u*w - 183. What is the remainder when w is divided by 4?
2
Suppose 93 = -3*x - 27. Let k = x + 49. What is the remainder when (85/(-25) + 3)/(2/(-130)) is divided by k?
8
Let z(r) = -r**3 - 5*r**2 + 21*r + 45. Let w be z(-7). What is the remainder when 109 is divided by 17 + (5 - (7 - w))?
10
Suppose 112750 = 11*y + 67804. What is the remainder when y is divided by 1360?
6
Suppose -k = -5*r - 13, 0 = -3*k + 4*r + 4 + 13. Suppose -k*b + j + 36 = -b, -2*b - j + 28 = 0. Calculate the remainder when b is divided by 10.
6
Suppose 0 = -6*w + 498 - 36. Let u(t) = 9*t - 2*t**3 + w + 79 - 3*t**2 - 154. Calculate the remainder when u(-4) is divided by 16.
14
Suppose -337 + 323 = -2*l. Let a = -188 + 198. What is the remainder when a is divided by l?
3
Let h(y) = -4*y + 7. Suppose -5*a = 2*r + 68, -a - 26 = 2*r - 6. Calculate the remainder when (-28)/a - 1 - 1816/(-24) is divided by h(-5).
23
Let g(h) = 5*h**3 - h**2 + 2. Let r = 33 + -31. Let n be g(r). Suppose -6*b = -4*b - n. What is the remainder when 73 is divided by b?
16
Let x(a) = a**2 + 3*a - 1. Let s be x(5). Let w = s - 36. Suppose 0 = w*j + 4*u - 39, -4*j + 0*u + 3*u = -27. What is the remainder when 41 is divided by j?
5
Suppose 2*n - 20 - 14 = 0. Let a = 2239 + -2156. Calculate the remainder when a is divided by n.
15
Let u = -268 + 281. Let i(v) = v**3 - 11*v**2 - 22*v - 14. Let q(f) = f**3 + 7*f**2 + 4*f - 7. What is the remainder when i(u) is divided by q(-6)?
3
Let x = 10241 - 10041. Calculate the remainder when 215 is divided by x.
15
Calculate the remainder when (3 - -1)/((-75)/(-5850)) is divided by 96.
24
Let p = 47 - 39. Suppose p*z - 81 = 191. Suppose -5*f = -4*x + 47, f - 63 = -3*x - 4. Calculate the remainder when z is divided by x.
16
Let r(s) = 21*s + 9. What is the remainder when (-6)/(-22) + (-34331)/(-121) is divided by r(3)?
68
Let a = -80 - -97. Let s = 34 - a. Suppose 0 = 3*c - s - 31. Calculate the remainder when 47 is divided by c.
15
Let r = -3747 - -4421. Suppose 4*g = -d + 103, -d = -g + 6 + 21. What is the remainder when r is divided by g?
24
Let z(p) = p**2 - 65*p + 1150. Calculate the remainder when z(35) is divided by 97.
3
Suppose -m + 1741*k = 1739*k - 25, 24 = -2*k. Calculate the remainder when -39*4*(-2)/6 is divided by m.
0
Let o be 1006/4 - (-48)/(-32). Suppose -5*g + 1195 = o. Calculate the remainder when g is divided by 38.
37
Let n(w) be the second derivative of w**4/12 - 7*w**3/6 + 3*w**2/2 - 3*w. Calculate the remainder when 77/22*(-2 + 8/2) is divided by n(7).
1
Suppose -605 = 6*o - 2365 - 1006. What is the remainder when o is divided by 29?
26
Suppose 47*w - 112*w + 3705 = 0. Calculate the remainder when w is divided by 15.
12
Suppose 17 = -24*k - 312 - 127. Suppose w + 3*w + 3*x - 212 = 0, -4*w + 220 = 5*x. Let p = w - k. What is the remainder when p is divided by 18?
15
Let k(x) = 4*x - 76. Suppose -2*j = -42 - 170. What is the remainder when j is divided by k(26)?
22
Let p = -326 - -881. Let w = p + -277. Calculate the remainder when w is divided by 70.
68
Calculate the remainder when (1 - -36) + 0/(9 + -6) is divided by ((-3)/(-2))/((-75)/(-100)) + 4.
1
Suppose 16*q - 39*q = -46. Suppose 3*x = 7*x - 4*n - 308, -5*n = -q*x + 160. Calculate the remainder when x is divided by 43.
32
Suppose -3*h = -h - 2, -4*m + 4*h + 596 = 0. Suppose -5*l + 4*i + 10 = -140, 5*l = 2*i + m. What is the remainder when 175 is divided by l?
25
Suppose 13*k = -5*h + 15*k + 85, 3*k = 4*h - 75. What is the remainder when 164 is divided by h?
14
Let m(u) = -u**2 - 17*u - 17. Suppose 3*f = i + 25, 2*i + 36 = -i - 4*f. Let o be m(i). What is the remainder when (-28)/(-3)*(1/2 - o) is divided by 7?
0
Suppose 0*c - 2*u - 7 = -3*c, 5*c = -5*u + 20. Suppose 0 = -c*r - v + 64, 1 = v + 6. What is the remainder when 90 is divided by r?
21
Suppose -6*a + 2*a = h - 870, 5*a + 5*h = 1080. Calculate the remainder when a is divided by 15.
8
Let z be 90 + 0 + 12 + -14. Suppose o - 2*y = -3*y + 106, -o + 5*y + z = 0. Let x = -48 + o. Calculate the remainder when 162 is divided by x.
52
Let m be 4/(-12)*(3 + -1 + -2). Let b(y) be the third derivative of y**4/12 + 17*y**3/6 + y**2. Calculate the remainder when b(m) is divided by 6.
5
Suppose 0 = 4*t - 193 - 203. Calculate the remainder when t is divided by 3429/297 + -11 + 335/11.
6
Suppose 0 = 3*s - 9, -s - 54 = -5*r + 68. Let h(c) = 2*c**2 + 4*c - 3. Let d be h(-4). Let m = 22 - d. Calculate the remainder when r is divided by m.
7
Suppose -4*j + 120 = -0*j. Let i(k) = -2*k**3 - 12*k**2 - 34*k - 57. Calculate the remainder when i(-6) is divided by j.
27
Let p be (-12698 - 7)/(-7) + 3. Suppose 15*d + 408 = p. What is the remainder when d is divided by 8?
6
Suppose -6*u + 20 = -10. Let v = 1 - u. What is the remainder when 29 is divided by ((-12)/v)/(3/4)?
1
Suppose -5*k + 40 = -0*k. Suppose -k*m - 237 = 243. Let n = -51 - m. Calculate the remainder when 33 is divided by n.
6
Suppose 0 = -5*u - 5*y + 80, -3*u = -2*y - 56 - 7. What is the remainder when 113 is divided by u?
18
Let w(x) = x**3 + 7*x**2 - 3*x - 21. Let l be w(-7). Suppose l = -2*v + 58 + 4. What is the remainder when v is divided by 12?
7
Let f(k) = 3*k**3 - 31*k**2 + 19*k - 80. Let s = -10 + 48. Let o = -19 + s. What is the remainder when o is divided by f(10)?
9
Let g(j) = -6*j**3 + 82*j**2 + 32*j - 34. What is the remainder when 256 is divided by g(14)?
14
Let s = -25 - 284. Calculate the remainder when 103 is divided by (-1)/(s/(-78) + -4).
25
Suppose 0*t + 2*t = r - 8, -3*r - 2*t - 8 = 0. Suppose r*o = 25*o - 575. Let z(h) = -7*h**3 + h**2. What is the remainder when o is divided by z(-1)?
7
Suppose -5*o + s + 1485 = 0, -4*s + 163 = o - 113. What is the remainder when o/4*1/2 is divided by 6?
1
Suppose 0 = 3*t, -v + 2*v + 3*t = 84. What is the remainder when v is divided by (20 - 10*(-3)/(-6)) + 2?
16
Suppose -2 = d - 6. Suppose 18*y - d = 19*y. Calculate the remainder when (-7)/((-70)/128) + y/5 is divided by 4.
0
What is the remainder when (2 + 306/(-4))/((-181)/9412) is divided by 14?
10
Let m(x) = -x**2 + 10*x + 15. Let p be m(12). Calculate the remainder when (8174/(-183))/(2/p) is divided by 17.
14
Let x(a) = -a**3 + 21*a**2 - 80*a + 11. Let s be x(5). Suppose -4*p = -u + 9, 0 = 3*u - 8*p + s*p - 27. What is the remainder when u is divi