en 18 is divided by f.
4
Let u(p) = 8*p**3 + p**2 - 1. Suppose 26*v - 23*v = 117. Calculate the remainder when v is divided by u(1).
7
Suppose -s = -3, -3*s - 2*s = -3*w + 30. Calculate the remainder when 27 is divided by 6/w - 56/(-10).
3
Let j(b) = -11*b + 10. Let y(o) = -o**3 + 11*o**2 + 15*o - 21. Calculate the remainder when j(-7) is divided by y(12).
12
Suppose 3*g - k - 77 = 0, 4*k + 10 = -5*g + 110. Let u = -4 - 4. Let i = -1 - u. Calculate the remainder when g is divided by i.
3
Suppose -5*z - 147 = -8*z. Calculate the remainder when z is divided by 7.
0
Suppose -24*g + 18*g - 186 = 0. Let q = 58 + g. What is the remainder when 79 is divided by q?
25
Let f(s) = s**3 + 19*s**2 - 22*s - 12. Let u = 28 - 13. Calculate the remainder when f(-20) is divided by u.
13
Let j(h) = h**3 + 7*h**2 - 3*h + 17. Let a(w) = w**2 - 19*w + 27. Let p be a(17). What is the remainder when j(p) is divided by 21?
17
Suppose 15 = -3*j, -2*s + 5*j + 472 + 99 = 0. Suppose -4*z + s = 5*m, -z - 3*m = -2*m - 67. Calculate the remainder when z is divided by 9.
8
Let v = 27 + -7. Let k(j) = 0 + 6*j - 6 - 2 - 1. What is the remainder when k(8) is divided by v?
19
Let p(a) = 6*a**3 - 49*a**2 + 16*a - 40. What is the remainder when 196 is divided by p(8)?
4
Let r = 25 - 9. Let m(d) = 42*d**3 - d + 1. What is the remainder when m(1) is divided by r?
10
Let t(q) = -q**2 + 16*q - 28. Let d be t(15). What is the remainder when 21*((-11)/d + 10/65) is divided by 6?
3
Suppose 4*j = -j + 75. Suppose 6 = -4*s - g - 26, 5*g = 4*s + 8. Calculate the remainder when 2/s + 1104/42 is divided by j.
11
Suppose 4*n + 21 = 97. What is the remainder when 75 is divided by n?
18
Suppose -1642 = -26*i - 446. What is the remainder when 412 is divided by i?
44
Suppose -55 + 275 = 2*w. What is the remainder when w is divided by 48?
14
Let h(t) = -t + 1. Let x be h(-3). What is the remainder when -4 + 2 + 9 + x is divided by 11 - -3*16/(-12)?
4
Let m = 716 - 707. Calculate the remainder when 17 is divided by m.
8
Let d be (7 - 201)/((-4)/(-2)). Let o = d + 139. Suppose 3*g = -r + 246, 122 = 2*g - r - o. Calculate the remainder when g is divided by 14.
12
Let g be 6/(-9)*(-18)/(-4). Let b be 21*((-4)/g - 1). Let m = b - -52. What is the remainder when m is divided by 15?
14
Let i(p) be the first derivative of 5*p**2/2 + 2. What is the remainder when 14 is divided by i(1)?
4
Let t be (-1 - 42) + 3*(3 - 2). Let w = 50 + t. What is the remainder when w is divided by 5?
0
Let a(q) = 10*q - 6. Suppose 5*n - 8*n = -24. Let x = -4 + n. Calculate the remainder when a(x) is divided by 18.
16
Suppose -4*x = -3*x. Let h = 8 + x. Calculate the remainder when (6 - h)*9/(-2) is divided by 3.
0
Suppose -2*v - 3*q - 3 = 4, -3*v + 4*q = -15. Let z = v - -11. Suppose -i - 5*k = -28, -3*k - 207 = -4*i - 26. Calculate the remainder when i is divided by z.
7
Let d(b) = -103*b - 4058. Let h(x) = -14*x. Calculate the remainder when d(-41) is divided by h(-3).
39
Suppose 0*a + 36 = 4*a. What is the remainder when 51 is divided by a?
6
Let t(z) = -z**2 - 10*z - 16. Let c be t(-11). Let w = 9 - c. What is the remainder when 69 is divided by w?
33
Let q be 3 - (-15)/(-3) - -4. Suppose 2*s + q*s + 20 = 0. What is the remainder when 68 is divided by (-6)/(-30) + (-114)/s?
22
Suppose 0*i - i + y = -27, -4*y = 5*i - 162. Let u be -89*(-20)/(16/4). Suppose 3*a + u = 8*a. What is the remainder when a is divided by i?
29
Let y = 71 + -68. Suppose 5*z - 80 = -5*s, 3*s - y*z - 11 = 25. Calculate the remainder when s is divided by 10.
4
Let v(w) = -w**2 - 9*w + 74. Let x(i) = 34*i - 3. Suppose -s - 3*o = -11, 5*o - 2 = 2*s + 9. What is the remainder when x(s) is divided by v(-13)?
21
Suppose 5*h - 2*d - 1 = 24, h - 4*d - 5 = 0. Calculate the remainder when (-14)/(-35) + 286/10 is divided by h.
4
Suppose 0 = -36*i + 786 + 6. What is the remainder when 74 is divided by i?
8
Suppose 0 = -27*j + 1749 + 2895. What is the remainder when j is divided by 53?
13
Calculate the remainder when 13 is divided by ((-30)/(-27) - 2)*-9.
5
Suppose -5*j + 25 = -65. Let u be ((-168)/(-2))/(1/2). Suppose 3*n = -12 + u. Calculate the remainder when n is divided by j.
16
Suppose 2*u - 2*y + 116 = 0, -4*y - 3 + 7 = 0. Let l = u + 81. What is the remainder when 93 is divided by l?
21
Suppose 7 = 4*g + 2*d - 7, 0 = 2*d - 2. Suppose -2*k + 90 = b - 37, 3*b + g*k = 393. What is the remainder when b is divided by 17?
16
Let y(c) be the third derivative of -7*c**4/8 - 8*c**3/3 - 32*c**2. Suppose -3*s - 13 - 5 = 0. What is the remainder when y(s) is divided by 28?
26
Suppose 2015 = 64*z - 33*z. Calculate the remainder when 214 is divided by z.
19
Let z be ((-2)/(-5))/(2/(-60)). Let p = z + 17. What is the remainder when 31 is divided by 57/p - (-2)/(-5)?
9
Let f = 1042 + -671. What is the remainder when f is divided by 62?
61
Suppose 4*b - 140 - 38 = 5*w, -b - 4*w = -34. Suppose 130 = 3*x - 236. What is the remainder when x is divided by b?
38
Let s = -898 + 904. Suppose 5*r - 60 = -15. What is the remainder when r is divided by s?
3
Let q(p) = p**3 + 6*p**2 - 14*p - 6. What is the remainder when q(-7) is divided by (30/25)/((-10)/(-125))?
13
Let x = -26 + 19. Let w(o) = -o**3 - 7*o**2 - 4*o + 17. What is the remainder when w(x) is divided by 6?
3
Suppose 2*r = 6*r - 1528. Suppose -8*a + r = -490. Calculate the remainder when a is divided by 28.
25
Let m(r) = r**3 + 8*r**2 - 10*r - 5. Let s = -4 + -5. What is the remainder when m(s) is divided by 4?
0
Suppose -5*u = -30 - 5. Suppose y - 3 + 1 = 0. Suppose -5*k + 3*h + 32 + 46 = 0, -3*k - y*h = -62. Calculate the remainder when k is divided by u.
4
Let f(b) = b**3 + 6*b**2 + 3*b - 4. Suppose 0 = 2*q, -5*d + 6*q = 8*q - 40. What is the remainder when d is divided by f(-5)?
2
Suppose -i = -8 - 16. What is the remainder when 33 is divided by 146/8 - 6/i?
15
Suppose 9*j + 7 = 10*j. Let n = 0 + j. Calculate the remainder when 19 is divided by n.
5
Suppose 568 - 2073 = -5*l. Calculate the remainder when l is divided by 16.
13
Let k = 8 - -121. What is the remainder when k is divided by 33?
30
Let k(u) = -u**3 + 3*u**2. Let w be k(3). Calculate the remainder when w/(-11) + 6 + -2 is divided by (8/10)/(4/10).
0
Let g = 12 - 4. Let r(q) = 18 - 34*q**2 - 4 - 42*q**2 + 15*q + 78*q**2. Calculate the remainder when r(-8) is divided by g.
6
Suppose 0 = -272*i + 239*i + 4356. What is the remainder when i is divided by 10?
2
Let y(v) = -4*v - 6. Suppose 5*k + 10 = -20. Suppose -358*t + 351*t + 497 = 0. What is the remainder when t is divided by y(k)?
17
Suppose -2*k + 18 = 4*k. Suppose -c + 0*c = -2*r + 18, -r + k*c = -4. What is the remainder when 29 is divided by r?
9
Suppose -2*s + 29 = a - 3*s, 0 = a + 3*s - 37. Let t = a - 27. Suppose t*q + 2*q = 114. What is the remainder when q is divided by 11?
8
Let k = -148 + 157. Calculate the remainder when 143 is divided by k.
8
Suppose 0 = 4*r - 79 - 53. Suppose -4*z = 4*z - 104. Suppose 2*d = -h + 2*h - z, 33 = 3*h - 3*d. Calculate the remainder when r is divided by h.
6
What is the remainder when 204 is divided by -1 + 0/8 + -1 + 11?
6
Suppose 5 = -2*d + d + 3*f, 20 = 4*d - 4*f. Let t = 755 + -717. What is the remainder when t is divided by d?
8
Let g(f) = -7*f + 28. Let o be g(-14). Suppose 4*i - 3*i + 2*h = o, -2*i = 2*h - 244. Let d = i - 29. What is the remainder when d is divided by 18?
17
Suppose -y = -5*y + 52. Let z = y + -11. Suppose z*i + 3*n = -i + 237, -5*i + 2*n + 423 = 0. Calculate the remainder when i is divided by 21.
20
Let o = -253 + 256. What is the remainder when 7 is divided by o?
1
Let v be 1162/28 - (-1)/2. Let s = v - -20. What is the remainder when s is divided by 16?
14
Suppose -3*w + 2*w + 6 = 0. Suppose 5*q - 15 = 660. Suppose -53*t + 58*t = q. What is the remainder when t is divided by w?
3
Let j = -61 + 33. Let v = 44 + j. Calculate the remainder when 46 is divided by v.
14
Let p(h) = -h**3 + 7*h**2 + 5*h + 3. Calculate the remainder when 122 is divided by p(7).
8
Suppose z + 38 = -4*c, 0*z + 3*c + 114 = -3*z. Let w = z - -98. What is the remainder when w is divided by 22?
16
Suppose 13*o - 9*o = 3*l + 81, -4*o - l + 69 = 0. Let r = 58 + 8. What is the remainder when r is divided by o?
12
Let i be ((-6)/(-8))/((-1)/(-52)). Suppose 4*v = b + 57,