
Let p(g) = -25*g + 3. Calculate the remainder when p(-1) is divided by 15.
13
Let n(a) = -a**3 - a**2 + 2*a + 1. Let r(m) = m**3 + 11*m**2 + 11*m + 7. Let u be r(-10). What is the remainder when 25 is divided by n(u)?
12
Suppose 0*d + 14 = 2*d. Let l = d + 11. Calculate the remainder when 33 is divided by l.
15
Let c(b) = 2*b - 13. Let f be c(9). Suppose -f*l + 47 - 2 = 0. Calculate the remainder when 12/(-2)*(-32)/12 is divided by l.
7
Let f = -15 + 24. What is the remainder when 16 is divided by f?
7
Let p = -14 + 57. What is the remainder when 213 is divided by p?
41
Let v(o) = -7*o + 16. What is the remainder when 118 is divided by v(-2)?
28
Let g(d) = d**3 + 9*d**2 + 8*d + 5. Let j be g(-8). Suppose -a - 5*r + 42 = 2*a, 4*a - j*r - 91 = 0. What is the remainder when 55 is divided by a?
17
Suppose 0*z - z = -15. Let g = -44 - -87. What is the remainder when -1*1*g*-1 is divided by z?
13
Let h = -3 + 6. Suppose -3 = g - 5*s, 0*s - s = -2*g + 3. Suppose -5*k + 23 = -p, -g*k = p - 9 - 3. What is the remainder when h is divided by p?
1
Let v = 12 + -1. Let f = 5 + 1. What is the remainder when v is divided by ((-4)/6)/((-1)/f)?
3
Let l(h) = 14*h**3 - h**2 - h - 1. Let c be l(-1). Let d = c + 21. What is the remainder when 11 is divided by d?
5
Let s(k) = -k**2 - 7*k - 2. Let n be s(-7). What is the remainder when n/7 - 904/(-28) is divided by 17?
15
Suppose 0 = -5*h - 12 + 2, 3*n - 2*h = 145. Suppose a = u - 11, -a - n = -4*u - 0*a. What is the remainder when 33 is divided by u?
9
Suppose 3*r - 2*r - 5*n + 5 = 0, -4*r - 2*n = -2. Suppose c = -5*q + 47 - 14, 3*c - 3*q - 9 = r. What is the remainder when 23 is divided by c?
7
Suppose 0 = -10*t + 5*t + 60. Calculate the remainder when 34 is divided by t.
10
Let j be 2/(-3 - (-57)/21). Calculate the remainder when 15 is divided by (j + 4)/((-1)/2).
3
Suppose 2*x - 6 = 0, 0*i - 4*i - 3 = -x. Suppose -5*g + 1 + 79 = i. What is the remainder when g is divided by 10?
6
Suppose -5*k + 44 + 31 = 0. Calculate the remainder when 15 is divided by ((-18)/k)/(6/(-20)).
3
Let w(s) = s**3 + 16*s**2 + 13*s - 19. Calculate the remainder when w(-15) is divided by 2.
1
Let n(a) = -a**3 + 4*a**2 + a - 3. Calculate the remainder when 33 is divided by n(3).
6
Let b(r) = -r**3 - 2*r**2 - 4*r - 4. Calculate the remainder when 185 is divided by b(-3).
15
Suppose 0 = -5*o - 3*g + 10, 1 = 3*o - 2*g - 5. Suppose -4*v - 3*j - 3 = -20, o*j = 5*v - 4. What is the remainder when v is divided by 1?
0
Suppose 0 = 5*k - 15, -2*r - k = 2*k - 39. Suppose 0 = -2*q + 5*f + 111, 4*q = -0*f - f + 167. What is the remainder when q is divided by r?
13
Let z = 23 - 18. Calculate the remainder when (-4 - -3)/((-3)/51) is divided by z.
2
Let b = 5 + 2. Calculate the remainder when 27 is divided by b.
6
Let s be -172*-2*1/(-4). Calculate the remainder when -2 + -1 - s/2 is divided by 21.
19
Suppose 48*i - 140 = 44*i. What is the remainder when i is divided by 13?
9
Let i = 15 + 5. Let h be i/(-4)*12/(-10). Calculate the remainder when 22 is divided by 27/6*8/h.
4
Suppose 4*q = -2*z - 106, -4*q - 66 = 3*z + 95. Let b = 93 + z. Calculate the remainder when b is divided by 13.
12
Let w = 8 + 14. Suppose 0 = x - 5*s - w, -5*x + 2 = -4*s - 129. Let a(g) = g**3 + 14. What is the remainder when x is divided by a(0)?
13
Let w be (-14)/(-8) - 2/(-8). Suppose -2*j + f = 5 - 0, -w*j - 4*f - 10 = 0. Calculate the remainder when (0 - j)/((-6)/(-88)) is divided by 15.
14
Let p be ((-8)/(-1))/((-4)/(-2)). Let l = 8 - 4. Calculate the remainder when (-2)/p*1*-14 is divided by l.
3
Let r be -92*-3*(-3)/9. Let m = r - -194. Suppose m = 5*d + 22. Calculate the remainder when 46 is divided by d.
14
Let q = -38 + 70. Suppose -1 = -c - d + 6, 0 = -4*c - 2*d + q. What is the remainder when 0 + (19 - (-2)/(-1)) is divided by c?
8
Let g = 27 - -56. Calculate the remainder when g is divided by 21.
20
Let v(l) = -2*l + 12. Calculate the remainder when 2 is divided by v(5).
0
Suppose 8*d - 1293 + 269 = 0. Let f = d + -78. Suppose -3*s + 3*j = -53 + 5, 4*j + 38 = 2*s. Calculate the remainder when f is divided by s.
11
Let d be 1/((5/(-8))/(-5)). Let p = d - -10. Calculate the remainder when 34 is divided by p.
16
Let u be (2 + 1)/((-9)/(-6)). Suppose 2*w + 16 = -u*w. Calculate the remainder when (-3 - -1)*22/w is divided by 4.
3
Let p = -52 + 55. What is the remainder when 16 is divided by p?
1
Let z = -2 + 5. Let y(l) = -l**2 + l + 128. Let p be y(0). Suppose v - p = -z*v. What is the remainder when v is divided by 17?
15
Let a = 14 + -24. Let x = -4 - a. What is the remainder when x is divided by 2?
0
Let n = -114 + 118. What is the remainder when n is divided by 4?
0
Let y(d) = -d**3 - 3*d**2 + 12*d + 22. Calculate the remainder when 40 is divided by y(-5).
4
Suppose d = 3*d - 10. Suppose -160 = -d*s - 5*n, -3*n = s + 2*n - 52. Let r = 14 + 0. What is the remainder when s is divided by r?
13
Let d = 62 - 112. Let z = d + 74. Calculate the remainder when z is divided by 13.
11
Let v = 38 - 15. Calculate the remainder when 113 is divided by v.
21
Let t(k) = k**3 - 3*k**2 - 8*k + 8. Calculate the remainder when t(6) is divided by 10.
8
Let d(w) = -64*w + 1. Let q = -1 + 0. Let p be d(q). Let m = 8 + p. Calculate the remainder when m is divided by 19.
16
Let k(z) = -z**2 + 10*z - 6. Calculate the remainder when ((-4)/(-5))/(2/10) is divided by k(9).
1
Let k = -13 - -25. Suppose 5*b - 20 = -5*q, -b - 13 = -2*q - 2. Suppose -i - y + 0*y = -6, 39 = q*i - 4*y. Calculate the remainder when k is divided by i.
5
Let s(o) = -2*o**3 - 6*o**2 + 6*o + 4. What is the remainder when s(-5) is divided by 19?
17
Suppose -2*c - 6 = -8. Let j = c - -2. Calculate the remainder when 6 is divided by j.
0
Calculate the remainder when -7 + (-76)/(-12) + 605/3 is divided by 12.
9
Suppose -2*r + 310 = 4*q, -r + 5*r = 4*q - 328. Calculate the remainder when q is divided by 17.
11
Suppose -8 = -2*u + 2. Suppose -35 + 15 = -u*k. What is the remainder when k is divided by 4?
0
Suppose 0 = k + 9. Let a be 6/k - (-37)/(-3). Let d = a + 22. Calculate the remainder when 17 is divided by d.
8
Suppose -4*x = -10*x + 1188. What is the remainder when x is divided by 40?
38
Let g = 24 - 15. Let k(p) = p**3 - p. Let h(c) = 4*c**3 + 4*c**2 - 12*c - 8. Let w(r) = -h(r) + 3*k(r). Calculate the remainder when w(-6) is divided by g.
8
Suppose -5*v = 4*g - 225, 5*g = 2*v + 2*g - 90. Calculate the remainder when v is divided by (-2 - 0)/(8/(-64)).
13
Suppose -5*c - 3*f = -30, 0 = -c + 5*f - 8*f - 6. Calculate the remainder when ((-48)/(-9))/(1/3) is divided by c.
7
Suppose v - 50 = -5*z - 3*v, 0 = z + 4*v - 26. What is the remainder when 16 is divided by z?
4
Suppose -3*q = -47 - 25. Suppose -z - 5*h = -0*z + 9, -5*z - 2*h + q = 0. Calculate the remainder when 16 is divided by z.
4
Let i(n) = n**3 - 10*n**2 + 9*n + 2. Let g be i(9). Suppose 0*d - g = d. Calculate the remainder when 1/(d/31)*-2 is divided by 16.
15
Let b be 2/(-6) - 26/(-6). Let i be (b/(-2))/((-3)/18). Suppose 2*v - 36 = i. Calculate the remainder when v is divided by 13.
11
Suppose -7*w = -5*p - 3*w + 7, -5*p = -2*w - 11. Calculate the remainder when 15 is divided by p.
0
Let v = 124 + -74. Suppose 0*z - 39 = -3*z. Calculate the remainder when v is divided by z.
11
Suppose 0 = -0*h + h - 20. Suppose 2*j - h = -2. Calculate the remainder when 25 is divided by j.
7
Calculate the remainder when 35 is divided by (-2 + (-21)/(-6))/((-8)/(-48)).
8
Let r be -2 + 6 + 0/1. Suppose -5*j + r*i + 134 = 0, -3*i - i = 2*j - 48. Let z = 4 + 5. Calculate the remainder when j is divided by z.
8
Let u(d) = -9*d. Let y be u(-2). Suppose 2*s - y = h, -3*s + 3 + 15 = 3*h. What is the remainder when 31 is divided by s?
7
Let a be -2 + 474/3 + -2. Suppose -u + 3*u - a = 0. Suppose 2*d - 5*q = -7 + u, -4*q + 142 = 5*d. What is the remainder when d is divided by 16?
14
Suppose 7*m + 2*p = 3*m + 100, -3*p - 25 = -m. Let y = 0 - -7. Calculate the remainder when m is divided by y.
4
What is the remainder when ((-5)/5)/(3/(-21)) is divided by 3?
1
Let s = -3 - -10. Let u(d) = 5*d**2 - d + 2. Let p be u(-2). Suppose -g + 5*g - 84 = -y, p = g + y. What is the remainder when g is divided by s?
6
Let k = -3 - -11. Suppose 0 = 2*b - 6*b + k. Suppose -t + b*t = 31. Calculate t