t, -4*t = 4*s - 44. Let f = 11 - t. Let v(l) = l**3 + 7*l**2 + 5*l. Calculate the remainder when v(-6) is divided by f.
2
Suppose -6*i = -2*i - 3*x - 140, 4*i - 2*x - 144 = 0. Calculate the remainder when i is divided by 10.
8
Suppose 4*q = -4*y + 3*y + 407, 3*y = q - 118. Calculate the remainder when q is divided by 35.
33
Suppose 0 = -3*c + 9, 9 = o - 2*c + 5*c. Suppose -5*x + 79 = 4*l, l + o*x = 2*x + 10. Calculate the remainder when 31 is divided by l.
15
Let z(s) = 2*s**3 - 6*s**2 - 7*s - 6. Let b be z(6). Calculate the remainder when (-2)/(-2 - b/(-87)) is divided by 15.
14
Let d = -144 - -235. Let p = d + -18. Calculate the remainder when p is divided by 37.
36
Let p(v) = -4*v**3 - 2*v**2 - 2*v - 1. Let l be p(-1). Let g be (-3 + 6)/((-1)/l). Let u = -2 - g. What is the remainder when 20 is divided by u?
6
Let x(g) = 15 - g**2 - 5 + 3*g + 9*g. Calculate the remainder when 60 is divided by x(11).
18
Calculate the remainder when ((-2)/(2/43))/(-1) is divided by (-6 - 416/(-24)) + 2/(-6).
10
Suppose 6*t = t - 15, -h + 3 = 2*t. What is the remainder when 23 is divided by 111/h + 2/3?
10
Let g = -63 - -110. What is the remainder when g is divided by 8?
7
Suppose 0 = -v + 4*f + 43, -12 - 118 = -2*v - 3*f. Calculate the remainder when v is divided by 15.
14
Let s = -8 + 19. Suppose 0 + 20 = 4*i. Suppose 0 = 5*r + i*d - 100, 54 + 5 = 3*r + 4*d. Calculate the remainder when r is divided by s.
10
Let c(l) = -2*l**2 - 23*l - 4. What is the remainder when 12 is divided by c(-11)?
5
Let g be (-12)/(-16)*-1*-4. Suppose 0 = g*p + b + 4*b - 48, 3*p = 2*b + 48. Calculate the remainder when p is divided by 6.
4
Suppose 59 + 130 = 9*l. What is the remainder when 82 is divided by l?
19
Suppose 0 = -5*a + 3*a. Suppose 9 = -3*j, -u - 2*u + 2*j + 57 = a. Let o(b) = b**3 - 6*b**2 + 5*b + 6. What is the remainder when u is divided by o(5)?
5
Let o be (-253)/(-3) - (-6)/(-18). Suppose -2*m = -0*m - o. What is the remainder when m is divided by 11?
9
Suppose 5*n = -6 + 26. Suppose -24 = -0*k - n*k. What is the remainder when 15 is divided by k?
3
Let u = -82 + 136. Calculate the remainder when u is divided by 14.
12
Suppose 166 - 10 = 4*o. Calculate the remainder when o is divided by 14.
11
Let y be 11/2 - (-3)/(-6). Suppose 0 = -y*x - u + 25, 3*x + 9*u - 4*u = 37. Suppose -1 = -w + x. Calculate the remainder when w is divided by 2.
1
Let g be (2 - 2 - -2)/(-2). Let h(c) = -64*c + 1. What is the remainder when h(g) is divided by 17?
14
Suppose -f + 6 = -6. Calculate the remainder when 47 is divided by (-3)/f - (-260)/16.
15
Let b(h) = -h + 2. Let m be b(-3). Suppose y = 18 - m. Calculate the remainder when -1*(-76)/(1 - -1) is divided by y.
12
Let y(n) = -n + 3. Let q(u) = 15*u**2 - u + 1. Calculate the remainder when q(1) is divided by y(-1).
3
Suppose 2*o + 5*h = -2*o + 108, -4*o - 4*h = -104. Suppose -45 + 105 = 5*x. What is the remainder when o is divided by x?
10
Let k be (-2)/8 - 18/(-8). What is the remainder when (-1104)/(-42) - k/7 is divided by 14?
12
Suppose -j = 3*j - 40. Suppose y = 2*p + 1 - 7, -2*y - 16 = -5*p. What is the remainder when y/(-8) + 73/4 is divided by j?
8
Let h be (2/3)/(4/66). Let t = -8 + h. Suppose -t*l + 116 = 23. What is the remainder when l is divided by 11?
9
Let g = -11 + 52. What is the remainder when g is divided by 11?
8
Calculate the remainder when 68 is divided by 291/15 - (-4)/(-10).
11
Let r = -24 - -42. Calculate the remainder when 50 is divided by r.
14
Let f = -1 + 18. Let c = 13 - 7. What is the remainder when f is divided by c?
5
Let z(s) = s**3 + 9*s**2 - 14*s - 19. What is the remainder when 39 is divided by z(-10)?
18
Let l(p) = -p**2 + 5*p + 40. Let j be 190/6 - (-10)/(-15). Suppose 5*h = 106 - j. What is the remainder when h is divided by l(9)?
3
What is the remainder when (5 - 4) + 60 + 0 is divided by 21?
19
Let x(j) be the second derivative of 5*j**4/12 - j**3/6 + j**2 + 2*j. Let q = 8 - 6. What is the remainder when x(q) is divided by 11?
9
Let x(s) = 13*s**2 + s - 4. Calculate the remainder when 183 is divided by x(-2).
45
Let r be 2/(-4)*(-14 - -10). What is the remainder when 17 is divided by 6/r*-1 - -13?
7
Suppose -8*y + j + 207 = -3*y, -4*j - 72 = -2*y. Suppose q + y = 4*q. Calculate the remainder when q is divided by (-3)/(-2)*80/15.
6
Let f = 18 - -56. What is the remainder when f is divided by 13?
9
Let i = -4 + 7. Calculate the remainder when ((-12)/(-15))/((-2)/(-20)) is divided by i.
2
Let k = 112 - 95. What is the remainder when 26 is divided by k?
9
Suppose 2*k + 0*k = 34. What is the remainder when 65 is divided by k?
14
Let a(p) = p**2 - 7. What is the remainder when 165 is divided by a(7)?
39
Let w(h) = h**3 - h**2 + 51. What is the remainder when w(0) is divided by 18?
15
Suppose 0*z + z = 7. Let c(u) = u**2 - 14*u - 11. What is the remainder when z is divided by c(15)?
3
Let z = -11 + 18. Let o = z + -5. What is the remainder when 4 is divided by o?
0
Suppose -5*z = -z - 12. Suppose -2*y - z*y = -55. What is the remainder when 30 is divided by y?
8
Suppose -m + r = 2, 3*m + m - 10 = -2*r. What is the remainder when 89 is divided by 272/8 + (-4)/m?
29
Suppose -2*a + 68 = -0*a. Let n = 51 - a. Calculate the remainder when n is divided by 5.
2
Let u(d) = d**3 - 7*d**2 + 3*d + 7. Suppose 3*f - 36 = 2*q, -f + 42 = 2*f - 4*q. What is the remainder when u(7) is divided by f?
8
Calculate the remainder when 35/4 + 1/4 is divided by 3.
0
Suppose -7 = 3*y - 22. Suppose 2*a - 4*r = 82, -a + y*r = a - 84. Calculate the remainder when a is divided by 13.
11
Suppose -3*o - o = -32. Let a(f) = f - 4. Let q be a(o). Suppose q*z - 45 = -z. Calculate the remainder when z is divided by 5.
4
Let v = 18 - 13. Suppose n - 16 = -n. Calculate the remainder when n is divided by v.
3
Suppose -3*r + 8*u = 5*u - 24, 3*r - 2*u = 21. Let f(v) = -v**2 + 7. What is the remainder when f(0) is divided by r?
2
Suppose 4*u = -x + 7, 7*x = 3*u + 4*x - 9. Suppose 2*f + 4*m - 21 = 5*m, -5*m = -u*f + 1. Calculate the remainder when f is divided by ((-1)/3)/(2/(-30)).
3
Let t = 26 + -12. Calculate the remainder when 25 is divided by t.
11
Let h = 4 + 3. Suppose a - h = 14. Calculate the remainder when a is divided by 6.
3
Let m be (-2 + (-13)/(-3))*9. Let o(s) = -s**3 + s**2 - 3*s + 1. Let p be o(2). Let a = m + p. Calculate the remainder when 23 is divided by a.
11
Suppose -2 = 3*s - 2*u - 25, 0 = s - u - 6. Suppose -3*j + 3*q + 57 = 4*q, 5*j + 3*q = 95. Calculate the remainder when j is divided by s.
8
Let p = 8 + -3. Suppose -p*t - 2*o + 25 = -5*o, 0 = 4*o. What is the remainder when 12 is divided by t?
2
Let x(y) = 2*y**2 + 7*y + 7. Let w be x(-5). Let r = 80 - w. What is the remainder when r is divided by (-100)/(-6)*(-6)/(-5)?
18
Suppose -203 = -4*l - 4*u + 65, u = 5. What is the remainder when l is divided by 1/3 + 47/3?
14
Suppose -4*f + 2*f = -2, -3*f - 252 = -3*j. Calculate the remainder when j is divided by 8.
5
Let b(y) = -3*y**3 - 2*y**2 - y. Calculate the remainder when 6/(((-3)/3)/(-1)) is divided by b(-1).
0
Let m be 0/((-2)/2 + 4). Suppose m = x + x - 92. What is the remainder when x is divided by 16?
14
Suppose 3*a - 14 = -x, a - 3 = -x - x. Let i(w) = -w**3 - 3*w**2 + 2*w - 4. Let u be i(-4). Let v = u + -2. Calculate the remainder when a is divided by v.
1
Let j = -18 - -11. Let u = j - -11. Calculate the remainder when 6 is divided by u.
2
Let h(x) = 3*x - 2. Let a = -4 + 16. Calculate the remainder when h(12) is divided by a.
10
Suppose 56 = u - b - b, -2*u = -2*b - 104. What is the remainder when u is divided by 17?
14
Let i be (138/(-4))/((-1)/2). Suppose 15 + i = 4*v. What is the remainder when v is divided by 11?
10
Suppose -r = -0*r - 15. Calculate the remainder when 29 is divided by r.
14
What is the remainder when 62 is divided by ((-2)/6)/(18/(-1134))?
20
Suppose 3*k - 27 = -0*d + d, 18 = 2*k + 4*d. Suppose -w = -2*w + 5. Suppose -22 = -w*y + 3. Calculate the remainder when k is divided by y.
4
Suppose -4*j + 3*q + 51 = -j, -4*j = q - 58. Calculate the remainder when 58 is divided by j.
13
Suppose -4*j + n + 37 + 817 = 0, -j = 3*n - 220. Let u = j + -127. What is the remainder when u is divided by 22?
21
Let w = 65 + -39. Calculate the remainder when w is divided by 7.
5
Let z = 4 + 12. Calcul