- 32 = 5*u. Let v be 3/(-4) - u/8. Calculate the remainder when 3 - 24/(-1 - v) is divided by 15.
12
Let p(x) = 4*x + 0*x**3 + 5*x**2 + 0*x**3 - x**3. Let m be p(6). Calculate the remainder when 26 is divided by -2 - 1 - (m + 0).
8
Let a = -6 - -10. Let h(y) = 5*y - 5. What is the remainder when h(a) is divided by 2/(21/(-27) - -1)?
6
Let x(o) = 17*o**3 - o**2 - o - 1. What is the remainder when x(2) is divided by 11?
8
Let o(j) = -3*j - 5. Calculate the remainder when 24 is divided by o(-6).
11
Let r(q) = q**3 - 2*q**2 + 1. Let a be r(2). Let s(v) = 69*v**3 - v**2 + 1. Calculate the remainder when s(a) is divided by 18.
15
Let q(c) = 2*c**3 + 3*c**2 - c + 0*c**2 + 75 - 3*c**3 - 4*c**2. Let j be q(0). What is the remainder when 27 is divided by j/7 + (-4)/(-14)?
5
Let i = -305 - -363. What is the remainder when i is divided by 18?
4
Let a(w) = 4*w**2 - w. Let n be 1 + 3 + 1 + -5. Suppose n = -0*i + 2*i - 104. What is the remainder when i is divided by a(-2)?
16
Let c(n) = 44*n**2 + 4*n - 2. Let x be c(1). Let y = -36 + x. Let p = -8 + 37. Calculate the remainder when p is divided by y.
9
Suppose 355 = 84*f - 149. Suppose 2*z = y + 3*z - 17, 3*z = 3*y - 75. Calculate the remainder when y is divided by f.
3
Let v(w) = 3*w**3 + 41*w**2 - 21*w - 33. What is the remainder when v(-14) is divided by 49?
16
Let a(y) = y**3 - 3*y**2 - 4*y - 2. Let f = 188 + -78. Calculate the remainder when f is divided by a(5).
26
Suppose 25*b - 16*b = 288. Calculate the remainder when 94 is divided by b.
30
Calculate the remainder when (-29)/((-3016)/(-16)) + 1512/26 is divided by 12.
10
Let h = 31 - 22. What is the remainder when (-6)/3*-9 + -1 is divided by h?
8
Let c = 12 - 2. Let i(k) be the third derivative of k**5/60 - 3*k**4/8 - 7*k**3/6 + 35*k**2 + 2*k. Calculate the remainder when 3 is divided by i(c).
0
Suppose -113 = -6*z + 13. Calculate the remainder when z is divided by 3.
0
Suppose q + 0*q - 14 = 0. Let w = 86 + -4. Calculate the remainder when w is divided by q.
12
Let r = 196 + -187. Calculate the remainder when 43 is divided by r.
7
Suppose -5*u - u + 762 = 0. What is the remainder when u is divided by 44?
39
Let u be 1/1*4 - 10. Let l(y) = -y - 2. Calculate the remainder when l(-4) is divided by (-16)/(-48) - 4/u.
0
Let j be (-1)/((-2)/(-22))*-1*1. Suppose -4*p - x + 37 = -p, x = -p + j. Calculate the remainder when 129 is divided by p.
12
Suppose t = 2*f + 4, 3*f + 7 + 4 = 4*t. Suppose 5*s + a = 36, 4*s - t*a = -6 + 32. What is the remainder when 17 is divided by s?
3
Suppose 27*y - 28*y + 2 = 0. Suppose -y*j = -28 - 44. Calculate the remainder when 106 is divided by j.
34
Let p be ((-8)/(-20))/(2/30). Suppose -2*c - 14 = q, -p*q = -4*q - 3*c + 42. Let s = q + 31. What is the remainder when 50 is divided by s?
11
Suppose 0 = -4*z - 34 - 2. Let a = 0 - z. What is the remainder when 14 is divided by a?
5
Suppose 0 = -4*v - 4*i + 41 - 17, 5*v = -3*i + 30. Calculate the remainder when 118 is divided by v.
4
Let z = -16 + 15. Calculate the remainder when 29 is divided by z/(4 - (-25)/(-6)).
5
Let a(u) be the first derivative of 3*u**3 + u**2 + u + 1. Suppose -4*l = -10 + 14. What is the remainder when a(l) is divided by 5?
3
Suppose 746 = 12*m + 230. Calculate the remainder when 210 is divided by m.
38
Let n be 8/3 + 10/(-15). Calculate the remainder when 49 is divided by 4/((-114)/(-51) - n).
15
Suppose 55*l = 52*l + 24. Let t(i) = i**2 - 4*i - 22. What is the remainder when 38 is divided by t(l)?
8
Suppose -m + 60 = 2*m. Suppose c - 21 + 9 = 0. Suppose -5*j - 4*o = -383, -j - 3*o + c = -58. Calculate the remainder when j is divided by m.
19
Let g be (1 + 6 - 3)*1. Suppose -z = -g*z + 6. Suppose x - 3*p + 1 = z*p, 1 = p. Calculate the remainder when x is divided by 4.
0
Suppose -49*d = -76*d + 1107. What is the remainder when 241 is divided by d?
36
Let b = 245 + -225. What is the remainder when 257 is divided by b?
17
Let w = 422 - 412. Let a = 18 + 14. Let n = a - -6. Calculate the remainder when n is divided by w.
8
Let f(s) = 39*s - 58. What is the remainder when 1472 is divided by f(3)?
56
Let v(r) = r**3 + 12*r**2 - 11*r - 19. Let z be v(-13). What is the remainder when 6/(5*(-6)/z) is divided by 6?
3
Let m(b) = -2*b - 3. Let a(i) = i**3 - 2 - 9*i + 3*i - 2 - 6*i**2. What is the remainder when m(-7) is divided by a(7)?
2
Suppose 0 = -f - 1 + 12. Let m(y) = -9*y**3 - 2*y**2 - y. Calculate the remainder when f is divided by m(-1).
3
Let l = 10 - -124. Let h = -104 + l. What is the remainder when h is divided by 17?
13
Let j(i) = -2*i**2 - 2*i - 2. Let h be j(-2). Let v(f) = f**2 + 4*f + 1. What is the remainder when 76 is divided by v(h)?
11
Suppose 0 = -2*v + 5*o + 190, 0 = v - o - 49 - 40. Suppose -103 = -2*y - 17. Calculate the remainder when v is divided by y.
42
Let w = 226 - 193. What is the remainder when 64 is divided by w?
31
Let y(q) = q**3 + 14*q**2 - q - 17. Let h be y(-14). Suppose -5*r + 6 + 79 = 0. What is the remainder when (201 - 0)/h*-1 is divided by r?
16
Let p(q) = q**2 - q + 218. Let l be p(0). Suppose -2*c + 4*b + 44 = -c, 3*b - 23 = -c. Suppose -c = -5*z + l. What is the remainder when z is divided by 26?
24
Suppose -o - 2 + 14 = 0. Let b(a) = 8*a + 7. Calculate the remainder when b(6) is divided by o.
7
Suppose 0 = 4*k - 8*k + 68. Let l(u) = -8*u + 5. Calculate the remainder when l(-6) is divided by k.
2
Suppose 5*m = -3*o + 126, o + m = -2*m + 42. Let x = -159 + 181. Calculate the remainder when o is divided by x.
20
Suppose 4*v = 127 + 381. What is the remainder when v is divided by 16?
15
Suppose m = d - 26, 4*m = -d - m + 44. Let q = d + -12. Calculate the remainder when 116 is divided by q.
14
Suppose 64 = 4*s + 4*l - l, -9*s = -2*l - 144. Calculate the remainder when 223 is divided by s.
15
Suppose -35*q + 31*q = 3*o - 28, -o + 2*q = -16. Calculate the remainder when 525 is divided by o.
9
Let y(j) = j**2 + 152*j + 1823. Let a = -21 - -82. Calculate the remainder when a is divided by y(-13).
13
Let f(o) = 8*o**3 - 6*o**2 + o - 23. What is the remainder when f(6) is divided by 107?
104
Suppose 154*m + 623 = 161*m. What is the remainder when m is divided by 6?
5
Let u = -68 + 74. What is the remainder when 173 is divided by u?
5
Suppose -y = y - 392. Let f = 115 - y. What is the remainder when 46 is divided by 3/(-15) + f/(-5)?
14
Let n = -85 + 92. Suppose -104 = -3*y + b, -3*y + 2*b - 23 = -4*y. What is the remainder when y is divided by n?
5
Let p = -29 + -13. Let d be (72/p)/(1/(-7)). Let r = 17 - d. Calculate the remainder when 9 is divided by r.
4
Suppose 0 = -30*r + 392 + 1948. Calculate the remainder when r is divided by 8.
6
Suppose -22*b + 23*b = -a + 79, -374 = -5*a + 2*b. Calculate the remainder when a is divided by 8.
4
Let d(p) = p - 8. Let n be d(11). Suppose 3*z - 5*j = -2*j + 27, 0 = -n*j + 6. Calculate the remainder when z is divided by 4.
3
Suppose 0 = -b + 1, 0 = -3*s + b + 3*b + 80. Suppose 0 = 4*d - s - 60. Calculate the remainder when d is divided by 12.
10
Suppose 8 = x - 17. Let l = -364 + 379. Calculate the remainder when x is divided by l.
10
Let c = 1589 + -1535. What is the remainder when c is divided by 19?
16
Let h(b) = 63*b + 3 - 66*b - 6. Suppose 2*r + 2*r - 8 = 0. What is the remainder when h(-4) is divided by r?
1
Suppose 5*j - 163 = -2*t, 2*t - 172 = -4*j + 8*j. Let i = 32 - 10. Calculate the remainder when t is divided by i.
18
Suppose -2*x + 1 = -19. Suppose -2*q = 5*g - 235, 5*g = -4*q - 0*q + 235. Calculate the remainder when g is divided by x.
7
Let y(t) = -5*t**2 - 8*t + 3 + 5*t**2 + 5*t**2 - 13. Calculate the remainder when 77*((2 - 2) + 1) is divided by y(-2).
25
Let g be (-25)/15*(-114)/2. Suppose -2*a = -a + 5*s - g, 3*s = 9. Calculate the remainder when a is divided by 21.
17
Let g = 37 + 10. Suppose -3*p + p + 57 = 3*b, -5*b + 3*p + 95 = 0. Let h = b + 6. What is the remainder when g is divided by h?
22
Calculate the remainder when (-711)/(-24) - (-3)/8 is divided by 22.
8
Suppose 0 = -3*d + 1482 - 1368. What is the remainder when 124 is divided by d?
10
Suppose -3*a = 5*a + 24. What is the remainder when (-9)/a + 4 + -3 is divided by 3?
1
Suppose 0 = 3*o + 6, -33 = -4*h + 5*o + 17. What is the remainder when 103 is divided by h?
3
Let w = 1739 - 18. What is the remaind