 Let z = -1 - y. Calculate the remainder when z is divided by p.
0
Let z(g) be the third derivative of 27*g**6/40 + g**5/60 + 5*g**4/24 - g**3 + 31*g**2. Calculate the remainder when z(1) is divided by 42.
39
Let o(c) = c**2 - 10*c - 37. Let k be o(13). Suppose -7 = -n + 27. Calculate the remainder when n is divided by (-36)/7*(-7)/k.
16
Suppose -894*p + 47 = 3*z - 892*p, 0 = 2*z + p - 33. What is the remainder when (3/3)/((-2)/(-70)) is divided by z?
16
Suppose -5*i - 11 = -51. Let g(k) be the second derivative of k**5/20 - 3*k**4/4 + 4*k**3/3 + 5*k**2/2 - k. What is the remainder when g(i) is divided by 2?
1
Let d(k) = k - 6. Let r be d(10). Suppose -r*w = 2*o + 46, -2*w + 0*o = -o + 13. Let s = 22 + w. What is the remainder when 49 is divided by s?
10
Let c(f) = 2*f**2 + 9*f - 37. Calculate the remainder when c(6) is divided by 34.
21
Let v(g) = 2*g**2 + 16*g + 24. Let p be v(-10). Let z = p - 43. Let j(d) = d**2 + 2*d - 4. What is the remainder when z is divided by j(3)?
10
Suppose 0 = -11*k + 18*k - 154. What is the remainder when 61 is divided by k?
17
Calculate the remainder when -23 + (-72)/(-6) + 101 is divided by 11.
2
Suppose 0 = 3*l + l - 64. Let g = 4349 - 4322. Calculate the remainder when g is divided by l.
11
Let c(h) = 13*h**3 - h**2 + h + 1. Let z be c(-1). Let g = z - -43. Calculate the remainder when g is divided by 16.
13
Suppose -2*q + 7*q - 5*y - 560 = 0, 2*q = 5*y + 224. Calculate the remainder when 328 is divided by q.
104
Let r(w) be the first derivative of -2*w**2 - 9*w - 11. What is the remainder when 13 is divided by r(-3)?
1
Let c = -26 - -36. Let x(t) = -t**2 - 60*t - 238. Calculate the remainder when x(-55) is divided by c.
7
Calculate the remainder when (6 - 33/6)*1272 - -6 is divided by 17.
13
Let u(c) = -4 + 1 + 5*c + 1. Let d be u(6). Suppose -7*l = -3*l - d. What is the remainder when 20 is divided by l?
6
Calculate the remainder when 222 is divided by 154/56 - (-15)/(-20).
0
Let m = 96 + 143. Calculate the remainder when m is divided by 42.
29
Let j(z) = 9*z**2 + 3*z - 23. Let v(a) = -8*a**2 - 2*a + 23. Let q(r) = -5*j(r) - 6*v(r). Calculate the remainder when 72 is divided by q(-4).
35
Suppose -t + 10 = -19. Let n(u) be the third derivative of u**4/3 + 23*u**3/6 - 3*u**2. Calculate the remainder when n(4) is divided by t.
26
Let r(a) = a**2 - 3*a + 16. Let x(s) = s**3 + 4*s**2 - 4*s - 13. Let m be x(-4). What is the remainder when r(m) is divided by 4?
0
Suppose -3*w = -5*i + 6*i - 171, -3*i - w + 513 = 0. Calculate the remainder when i is divided by 55.
6
Suppose -3*z = 2*b + 9, b - 6 = -0*z + 2*z. Suppose 16*a - 66 - 270 = b. What is the remainder when 104 is divided by a?
20
Let w be (20/(-6))/((-6)/45). Suppose 86 = 2*o + f, 5*f - 5 + w = 0. Calculate the remainder when o is divided by 12.
9
Suppose 5*x - 4 = 7*x. Calculate the remainder when 82 is divided by (289/34)/(x/(-4)).
14
Let f(w) = -3*w - 120. What is the remainder when 315 is divided by f(-47)?
0
Let w = 66 - 61. Calculate the remainder when (-3)/(-3) - w - -45 is divided by 22.
19
Suppose 0*a = 5*a - 315. Calculate the remainder when a is divided by 13.
11
Let z = 1670 + -1493. Calculate the remainder when z is divided by 20.
17
Suppose -293 - 12 = -5*h. Calculate the remainder when 168 is divided by h.
46
Suppose 438*x + 55 = 2*w + 437*x, 3*w + x - 100 = 0. What is the remainder when -1 + (1 - 61*-1) is divided by w?
30
Let k = -70 - -164. Suppose 3*g - k = -16. What is the remainder when g is divided by 9?
8
Suppose 186 = 11*l - 1. Calculate the remainder when 166 is divided by l.
13
Suppose -141*z = -154*z + 286. What is the remainder when 55 is divided by z?
11
Let p = 364 - 339. What is the remainder when 40 is divided by p?
15
Let a(t) = 2*t**2 - 11*t + 8. Let u be (-2 - 20/(-15))/(3/(-45)). Calculate the remainder when a(u) is divided by 11.
10
Suppose 0 = -2*s - 4*p + 48, 4*s = -s + 3*p + 68. Suppose -21*w + s*w = -70. What is the remainder when 53 is divided by w?
11
Let n(g) = -93*g + 108. Calculate the remainder when n(-4) is divided by 37.
36
Suppose -4*m + 5*m + 3*s = 44, -184 = -5*m - 3*s. Suppose -2*u + 3 = 5. What is the remainder when m is divided by u/(2/(-38) - 0)?
16
What is the remainder when 58 is divided by (1 - 2 - -36) + -2?
25
Suppose -93 = -4*y + y. Let f(h) = -h**3 - h**2 + h + 1. Let j be f(-3). Let k = y - j. What is the remainder when k is divided by 9?
6
Let w(f) = -16*f**3 - 2*f**2 + f + 2. Let l be (-20)/14 - (-6 - 195/(-35)). Calculate the remainder when w(l) is divided by 9.
6
Suppose -744 = -b - 5*b. Calculate the remainder when b is divided by (-14)/((6/9)/(-1)).
19
Let j = -80 + 100. Calculate the remainder when 52 is divided by j.
12
Let t = 198 + -56. Calculate the remainder when t is divided by 79.
63
Let x(g) = -2*g**2 + 43*g + 62. What is the remainder when 414 is divided by x(21)?
82
Suppose -2*q - 26 = 8. Let r = q + 19. Suppose -3*y - i = -3*i - 14, -2*i + 28 = 4*y. What is the remainder when y is divided by r?
0
Suppose 130*j - 138*j + 24 = 0. Let w = -4 - -14. Calculate the remainder when w is divided by j.
1
Suppose 15 = -3*s, 0 = -5*j + 15*s - 8*s + 1080. Calculate the remainder when j is divided by 7.
6
Suppose -30*i + 401 = 131. Calculate the remainder when 122 is divided by i.
5
Suppose 8*t - 48 = 5*t. Let l = 40 - t. Calculate the remainder when 93 is divided by l.
21
Suppose 4*w = -5*q + 3*q + 396, -4*q = -2*w - 832. Suppose -6 = -2*c, 4*p + c - q = 73. What is the remainder when 134 is divided by p?
65
Suppose -5*n = -19 - 31. Suppose 4*k + 0*k = 128. Calculate the remainder when k + 1 + -3 + -3 is divided by n.
7
Let p = -32 - -36. What is the remainder when 100 is divided by p/(-6) - 312/(-9)?
32
Suppose 3*w - 4*q - 57 = 62, 4*q = -4*w + 196. Let r = 2 + 21. Calculate the remainder when w is divided by r.
22
Let m(i) = 6*i + 2. Let d be m(-1). Let o be 3/(-6)*(d + -42). Let j = -14 + o. What is the remainder when 34 is divided by j?
7
Let q be 65/4 - (-45)/60. Suppose h - a = 5, -5*a = -2*h - 2*h + q. What is the remainder when 21 is divided by h?
5
Let i(q) = q**3 + 22*q**2 - 27*q - 24. Let d be i(-23). Let r = d + -19. Let v = 31 - 18. What is the remainder when r is divided by v?
10
Let w(n) = -n + 13. Let i be w(15). What is the remainder when (-6)/i + 24*1 is divided by 11?
5
Let d = 6016 - 5991. Suppose 2*p = -3*j + 26, 5*j + 14 = 34. What is the remainder when d is divided by p?
4
Let x = 27 - 25. Suppose -12*r = x*r - 336. What is the remainder when 31 is divided by r?
7
Suppose -325 = 21*x - 2488. What is the remainder when x is divided by 50?
3
Suppose 0*h + 3*a = 3*h - 33, 0 = 4*a + 20. What is the remainder when ((-83)/83)/(2/(-18)) is divided by h?
3
Let t = -41 + 46. Suppose -8 = t*h - 83. What is the remainder when 148 is divided by h?
13
Let r be (-1 - -2)/((-6)/36). Let o = r - -5. Let i(f) = 34*f**2 + f. Calculate the remainder when i(o) is divided by 17.
16
Let j(i) = -2*i - 13. Let s be j(-8). Suppose 4*o = 2*d - 88, -s*d = -2*o - 0*o - 140. What is the remainder when d is divided by 25?
23
Let h(t) = t**3 + 7*t**2 + 5*t + 1. Let p be h(-6). Let k = p + -7. Calculate the remainder when 66 - (-1 - k)*-1 is divided by 17.
14
Let y(b) = -1 + 15*b**2 - 1 + 7 + 15*b. Let o be y(-6). What is the remainder when o/7 - (-1 + -3) is divided by 36?
33
Suppose 15*m - 515 - 175 = 0. Calculate the remainder when 1377 is divided by m.
43
Let w = 99 + -140. Let z = w - -67. Calculate the remainder when 101 is divided by z.
23
Suppose 5*h - 57 = 58. Suppose 0*d + 3*d = p - 76, 4*d = 5*p - 325. Let c = p - -6. What is the remainder when c is divided by h?
21
Let c(s) = 0*s**2 - 33*s**3 + 3*s**2 - 4*s**2. Let f = -354 - -353. Calculate the remainder when c(f) is divided by 17.
15
Suppose 2*i - 16 = 4*a, -3*i + 7 = 3*a + 1. Suppose i*y - n = -5*n + 216, n + 4 = 0. Calculate the remainder when y is divided by 20.
18
Suppose -33 = 8*c - 97. Suppose 15 = v - c. Calculate the remainder when 43 is divided by v.
20
Let q be (-6)/(-36) - 57/18 - -157. Suppose q - 150 = 2*p. Calculate the remainder when 30 is divided by p.
0
Suppose 246 = 3*f - 0*f. Suppose -2*o + f = -4. Let w = 7 + 4. What is the remainder when o is divided by w?
10
Suppose 39 = 2*m - 5*b, b - 4*b + 65 = 4*m. Calcul