e k(4). Let u(j) = -j**3 + 4*j**2 + 2*j - 6. Calculate the remainder when 4 is divided by u(c).
0
Suppose -1328*z + 147 = -1325*z. Calculate the remainder when z is divided by 27.
22
Suppose -2*w + 555 = f, -4*f = -5*w + 856 + 538. Calculate the remainder when w is divided by 7.
5
Let w(u) = 2*u**3 - 16*u**2 + 14*u - 80. Calculate the remainder when w(8) is divided by 11.
10
Suppose 12*z + 5*i - 1720 = 10*z, 3*i - 1716 = -2*z. Suppose -3*t = -8*t + z. Calculate the remainder when t is divided by 43.
42
Let v be (-166)/(-18) + (-20)/90. Calculate the remainder when (v*5)/((-5)/(-5)) is divided by 10.
5
Suppose -4*t - 14*l + 12*l = -88, 0 = 4*t - l - 88. What is the remainder when t is divided by (4/5)/(16/200)?
2
Let z = -22 - -78. What is the remainder when 502 is divided by z?
54
Let m be (-2)/(-9) + (-1144)/(-36). Suppose -5*k - 7 = -m. Suppose 5*w - 16 = -2*g, -5*w = k*g - 2*g - 34. Calculate the remainder when 69 is divided by g.
15
Suppose 45 = 4*s - 39. Suppose 0*c = -4*c + 172. Let o = c + s. What is the remainder when o is divided by 22?
20
Let u = 343 - 342. Calculate the remainder when 50 is divided by u.
0
Suppose 2196 = 16*n - 2396. What is the remainder when n is divided by 72?
71
Let w(u) = 2*u + 9. Calculate the remainder when 739 is divided by w(24).
55
Let v = -13 + 12. Let j = v - -7. Suppose 3*d = j*d - 99. What is the remainder when 98 is divided by d?
32
Let l be ((-6)/(-4))/3*26. Suppose -l = 5*x - 68. What is the remainder when 18 is divided by x?
7
Let v be (12/14)/(5/(-35)). Let c(w) = w**3 + 9*w**2 + 8*w + 5. Let t = 394 - 377. What is the remainder when c(v) is divided by t?
14
Calculate the remainder when (-4)/30 + -10 + 91370/150 is divided by 25.
24
Let h = 1166 - 1148. What is the remainder when 33 is divided by h?
15
Suppose -2*l = -l. Let t = l + 3. Suppose 0 = t*v - 5*f + 11 - 32, -f - 33 = -3*v. What is the remainder when 44 is divided by v?
8
Suppose 2*h = 7*h + 5. Let n(t) = 56*t**2 - 2*t - 1. Suppose 16*k + 3*r + 15 = 18*k, 3*k + 2*r - 55 = 0. Calculate the remainder when n(h) is divided by k.
12
Let a(z) = 18*z**2 + 13*z + 13. Calculate the remainder when a(-4) is divided by 10.
9
Suppose 287 = 4*q - 485. Suppose j + q = 4*a + 4*j, 2*a + j - 95 = 0. Calculate the remainder when a is divided by 12.
10
Let v be (1 - -22)/(4/8). Suppose -2*w + 1 = -5. Suppose -w*h + 41 + v = 0. What is the remainder when h is divided by 10?
9
Suppose 8*r - 3*r = 25. Suppose 122 + 103 = 5*x + r*k, 3*x + k = 131. Let s = 495 - 486. Calculate the remainder when x is divided by s.
7
Let k be ((-5)/4)/((-1)/4). Let f = 14 + k. Suppose -51 = -3*p - 4*i + 158, i = -4*p + 296. Calculate the remainder when p is divided by f.
18
Suppose -3*y = -3*u - 18, -6 + 8 = -y + 5*u. Suppose -3*m - 73 = -4*j, 4*m - m + 3*j = -45. Let n = m - -41. Calculate the remainder when n is divided by y.
6
Suppose -5*b + 5 = -5. Suppose 3*s + 6 = 0, -b*u - 2*u + 22 = -5*s. Suppose 5*a + x = 70, -u*a + x = -2*x - 24. What is the remainder when 51 is divided by a?
12
Suppose -4*t = -0*t - 5*d - 285, -t - 3*d + 50 = 0. Suppose t + 79 = 2*z. What is the remainder when z is divided by 25?
22
Suppose -5*y - 30 = 20. Let k be (1/(-2))/(y/2880). Suppose f = -5*w + k, 4*w + 4*f - 128 = -0*f. Calculate the remainder when 54 is divided by w.
26
Let s = 18 - 12. Suppose -40 = -s*y + y. Let w = -3 + y. What is the remainder when 8 is divided by w?
3
Let n = -38 + 56. Suppose 0 = -z + 18 + 30. What is the remainder when z is divided by n?
12
Let j be ((-14)/(-7))/(4/(-6)). Let p(h) = -18*h + 3. What is the remainder when p(-3) is divided by (50/30)/(j/(-36))?
17
Calculate the remainder when 460 is divided by -7 + (7 - -4) + 7.
9
Let v be 2/(-6) + 1/3. Suppose v = -2*y + 52 + 74. Calculate the remainder when y is divided by 22.
19
Suppose -2*y + 16 = -0*y. Suppose -129 + 15 = -6*r. Calculate the remainder when r is divided by y.
3
Let i = -24 + 32. Suppose i*w - 5*w = -3. Let b(l) = -3*l**3 + 2*l**2 + l. What is the remainder when 6 is divided by b(w)?
2
Suppose p - 15 = -2*p. Let j = 0 + p. Let h = 88 - 65. What is the remainder when h is divided by j?
3
Let p(g) = 2*g**2 - 5*g - 18. Calculate the remainder when 290 is divided by p(-3).
5
Let d = 20 - 31. Calculate the remainder when 2 - (2*d + -4) is divided by 5.
3
Suppose 15 = 3*d, 2*r + 4*d - 114 = 10. What is the remainder when r is divided by 4?
0
Suppose 128*j + 102 = 134*j. Suppose -27 - 97 = -4*f. Calculate the remainder when f is divided by j.
14
Let u(z) = -z**2 + 7*z - 3. Let w be u(6). What is the remainder when (-3 - (-28 - 3)) + w is divided by (-6)/(-2 + (-20)/(-16))?
7
Let m(z) = 7*z - 129. What is the remainder when (-1 - -29)*(-3)/(-4) is divided by m(20)?
10
Let j be (-6)/(-3)*(2 - (-44)/(-8)). Let y(d) = -2*d - 6. Let u = -13 - -26. Calculate the remainder when u is divided by y(j).
5
Suppose -4*x + 12 - 8 = 0. Let t = 9 + x. Suppose -w + t + 7 = 0. Calculate the remainder when 50 is divided by w.
16
Suppose 0 = -15*k + 70 + 740. What is the remainder when k is divided by 8?
6
Suppose 4*s - 5*s = 3, -3*n + 21 = -2*s. What is the remainder when 23 is divided by n?
3
Suppose 10*m = -13 + 113. What is the remainder when (-4)/(-6)*84*4/8 is divided by m?
8
Let x = -68 - -91. Let v be -1 - -2 - (-124)/4. Suppose 3*h - v = -8. Calculate the remainder when x is divided by h.
7
Suppose 0 = -9*f + 2*f + 273. Let u(x) = x**3 - 5*x**2 - 4*x - 4. Calculate the remainder when f is divided by u(6).
7
Let m(f) = f**2 - 11*f + 13. Let l be m(10). Suppose 44 = -l*v + 7*v. What is the remainder when 53 is divided by v?
9
Let l(q) = 18*q + 6. Let b be l(-3). Calculate the remainder when (16/b)/((-2)/372) is divided by 13.
10
Let q = 241 + -193. Calculate the remainder when 143 is divided by q.
47
Suppose 9*k = k. What is the remainder when (-87)/(k + -1 - (-3)/(-6)) is divided by 10?
8
Let d(u) = 5 + 19*u**2 + 24*u**2 - 41*u**2 + 6*u. What is the remainder when 73 is divided by d(-5)?
23
Let r = 761 + -693. What is the remainder when r is divided by 47?
21
Let x(q) = q**2 - 6*q + 23. Let p be x(11). Let s = 88 - p. Calculate the remainder when s is divided by 6.
4
Let p(z) = 4*z + 130. Calculate the remainder when 94 is divided by p(-25).
4
Calculate the remainder when 0 - (1378/(-10) - (-37)/(-185)) is divided by 20.
18
Suppose 3*l - 158 = 3*d + 13, 5*d + 181 = 3*l. Let j = 65 - l. What is the remainder when 24 is divided by j?
11
Let c = -37 + 29. Let z = c + 43. Calculate the remainder when 69 is divided by z.
34
Suppose -287*m = -291*m + 32. Suppose 0 = -2*q - 0*q + 10. Calculate the remainder when m is divided by q.
3
Let c = 7 + -3. Suppose 4*u + 32 = 4*i, -i + 4*i + c*u = 31. What is the remainder when 73/2 + (-6)/4 is divided by i?
8
Let b(n) = -3*n**2 + n - 2. Let g be b(4). Let p = 60 + g. What is the remainder when 69 is divided by p?
13
Let p(c) = c**3 - 8*c**2 + 35*c - 171. What is the remainder when p(7) is divided by 19?
6
Let r be (-37)/(-7) - (-8)/(-28). Suppose 3*t + b - 17 = 0, r*b - 9 = 1. Suppose t*i - i = 84. Calculate the remainder when i is divided by 8.
5
Suppose 23*a = 17*a + 120. What is the remainder when (34/6)/((-3)/(-18)) is divided by a?
14
Let t(q) = q**3 + 5*q**2 - q. Let r be t(-6). Let m = 57 + r. What is the remainder when m is divided by 15?
12
Suppose -635 = -5*a + 230. What is the remainder when a is divided by (-3)/(-5) - (-8774)/410?
19
Let j = 126 - 40. Suppose -j*p + 83*p + 84 = 0. Calculate the remainder when 81 is divided by p.
25
Suppose 0 = y + 383 - 1404. Calculate the remainder when y is divided by 146.
145
Let f = -46 + 55. Suppose 3*q + f = 45. What is the remainder when q is divided by 7?
5
Suppose 5*f = r + 21, 4*r + 291 = -4*f + 303. Suppose 3*j + j = 20. Calculate the remainder when j is divided by f.
1
Let r = 57 - 63. What is the remainder when 7 is divided by ((-6)/(-4))/(r/(-16))?
3
Let c = -51 - -124. Let v(q) = -q**2 + q + 4. Let h be v(0). Suppose h*r = -3*u + 3*r + 56, 17 = u + 2*r. What is the remainder when c is divided by u?
16
Let c(b) = -b**3 - 16*b**2 + 17*b + 9. Let p be c(-16). Let j = p + 402. What is the remainder when j is divided by 36?
31
Suppose 0 = 6*i + 30, 25*i + 16 = 3*y + 26*i. Suppose -4*b - 2*o - 1 = -3, 0 = 3*b + 2*o - 1. What i