et i(w) = w + 2. What is the remainder when 17 is divided by i(8)?
7
Let u(q) = -q - 1. Suppose -w - 2*f = w + 2, -22 = -5*w + 4*f. What is the remainder when u(-6) is divided by w?
1
Let a be ((-1)/(-3))/((-12)/(-108)). Suppose a + 3 = i. Let v(m) = -3*m. What is the remainder when i is divided by v(-1)?
0
Calculate the remainder when 44/(-6)*(-4 - 23)/3 is divided by 23.
20
Suppose c - 38 = 2. Calculate the remainder when c is divided by 7.
5
What is the remainder when (-6)/(-3)*(29 - -3) is divided by 22?
20
Suppose -3*y = 2*v - 6*v + 85, -35 = -2*v - y. Let x = v + -38. Let j = 46 + x. What is the remainder when j is divided by 10?
7
Calculate the remainder when (22/(-6))/(2/(-30)) is divided by 19.
17
Let m = 3 + 25. Suppose -k = -3*o + 2*k + 120, 0 = -5*k. Calculate the remainder when m is divided by o/6*(-6)/(-4).
8
Let t(u) = 2*u - 12. Let b be t(8). Suppose -k = 4*f - 3, 48 = b*k - f - f. What is the remainder when 42 is divided by k?
9
Suppose -118 = z - 5*z - 3*k, 3*z - 4*k = 76. Suppose 0 = -g + 3*g + 12. Let u = 21 + g. Calculate the remainder when z is divided by u.
13
Let s(z) = z**3 - 6*z**2 + 6*z + 5. Calculate the remainder when (0 - 8)*21/(-6) is divided by s(5).
8
Let t = -36 + 78. What is the remainder when t is divided by 15?
12
Suppose -w + 36 = 3*k + 2*w, -w = -4*k + 63. Suppose 2*f = 4*n - k + 7, -2*f = -5*n + 10. What is the remainder when 46 is divided by 6/9*(26 - n)?
14
Let g = 0 + 7. What is the remainder when g is divided by 5?
2
Let z(b) = -7*b**3 - 1. Let m be z(-1). Suppose m*t - 10 = t. Suppose t*o - 3*o = -3. What is the remainder when 10 is divided by o?
1
Let s(y) = -y**3 + 8*y**2 + 11*y + 8. Let a = 34 + 10. Suppose 4*c + 26 = 2*t, 4*t = 2*c + 2*c + a. What is the remainder when s(9) is divided by t?
8
Let f = -8 + 59. Let j = f - 24. Let u = 9 + 1. Calculate the remainder when j is divided by u.
7
Suppose 0 = 4*p, -5*c + p + 15 = -130. Let t = 0 + 0. Suppose t*h + 20 = 2*h. Calculate the remainder when c is divided by h.
9
Let i(c) = -c**3 + 6*c**2 - 7*c + 4. Suppose 3*v - 9 = 4*b, -b + v = -2*b - 4. Let d be b*5/(-3) + -1. Calculate the remainder when 22 is divided by i(d).
6
Let h(i) = -3*i**2 + 9*i + 11. Let p(m) = 4*m**2 - 8*m - 11. Let r(y) = -3*h(y) - 2*p(y). Calculate the remainder when 3 is divided by r(12).
0
Suppose 10 = -2*h + s + 30, -h - s = -10. Suppose 2*m + n = -59, -m + n - 3*n - 37 = 0. What is the remainder when ((-3)/2)/(m/522) is divided by h?
9
Let f be -2*6*3/(-12). Suppose -5*z = -f*w - 31, 2*z + 3*w = -3*z + 19. Calculate the remainder when 8 is divided by z.
3
Suppose -10 = 9*u - 424. What is the remainder when 137 is divided by u?
45
Let n(q) = -q**2 - 15*q - 6. Calculate the remainder when 119 is divided by n(-12).
29
Suppose 15*o - 7*o - 1032 = 0. Calculate the remainder when o is divided by 10.
9
Let s(c) = c**3 + 4*c**2 - 4*c + 9. Let k(f) = f**2 - 6*f - 2. What is the remainder when k(7) is divided by s(-5)?
1
Let g = 6 + -2. Calculate the remainder when g/10 + 128/5 is divided by 9.
8
Let o = 0 - -29. Calculate the remainder when o is divided by 6.
5
Suppose -16 = -2*p + 4. Let k = 10 + p. Let x(h) = 31*h - 5. What is the remainder when x(2) is divided by k?
17
Let k(p) = -7*p + 5. Let w be k(5). Let u = -8 - w. What is the remainder when u is divided by (10 - (-2 - -2)) + -2?
6
Let z(c) = c + 7. What is the remainder when z(7) is divided by 3?
2
Suppose 0*w = 5*m + 2*w - 133, 59 = 3*m - 4*w. Calculate the remainder when m is divided by 9.
7
Calculate the remainder when 10*-17*(3/(-2) - -1) is divided by 29.
27
Let a(d) = d**3 - 10*d**2 + 15*d - 17. What is the remainder when a(9) is divided by 23?
14
Suppose -3*u + 0*u = 5*q - 6, -4*u + 8 = -3*q. Suppose f = -q*f + 2*w - 3, 5*f - 2*w - 25 = 0. Calculate the remainder when 26 is divided by f.
5
Let l(u) = u**3 - 5*u**2 - u + 7. Let v be l(5). Let z(p) = 15*p**2 - 1. Calculate the remainder when z(v) is divided by 20.
19
Let k(h) = h - 2. Let w be k(2). Let o = 1 + w. Suppose o - 4 = -g. What is the remainder when g is divided by 2?
1
Let w(l) be the third derivative of -2*l**5/15 - l**4/8 - 2*l**3/3 - 2*l**2. Let q be w(-4). Calculate the remainder when q/(-9) - 2/(-3) is divided by 5.
4
Calculate the remainder when 12 is divided by 2/(-3) - (-46)/6.
5
Let b(r) = -4*r + 8. Let a(c) = c**2 - 5*c + 5. Let f be a(4). Let m(z) = z. Let q(x) = f*b(x) + 8*m(x). What is the remainder when q(9) is divided by 23?
21
Suppose 106 = 4*a + 5*m, 3*a - a - 4*m = 40. Calculate the remainder when 63 is divided by a.
15
Suppose 246 = 3*y - 0*y. Calculate the remainder when y is divided by 17.
14
Suppose 18*o - 21*o = -75. Calculate the remainder when o is divided by 7.
4
Suppose 80 = -3*c + 4*u, -25 = -4*c - 2*u - 117. Let d = 36 + c. Suppose 2*g - 5*g - 5*w + 31 = 0, -8 = -4*w. What is the remainder when d is divided by g?
5
Suppose 2*v + 22 = 2*b - 6*b, -2*v - 3*b - 18 = 0. Let m(g) = -3*g - 2*g + 3*g**2 + g**3 - 6 + 2. Calculate the remainder when 20 is divided by m(v).
9
Suppose 6*m - 267 = 3*m. What is the remainder when m is divided by 18?
17
Let f be 317/(-7) - (-8)/28. Calculate the remainder when -2 + f*(-2 + 1) is divided by 15.
13
Let v = -7 + 6. Let l be (-2)/((v - -3)/(-36)). Suppose -d + 4*d - l = 0. What is the remainder when 22 is divided by d?
10
Suppose 0 = -4*l + 4, -3*w = 2*w - 5*l - 10. Suppose 0 = -2*k - w*y + 56, 3 + 126 = 5*k + 2*y. Calculate the remainder when 98 is divided by k.
23
Suppose 0 = 2*u + 2*u - 28. Suppose u*f = 2*f - 30. Calculate the remainder when ((-172)/f)/((-4)/(-6)) is divided by 15.
13
Suppose -4*h + 20 = -2*h. Calculate the remainder when 37 is divided by h.
7
Suppose -3*t = 7*d - 5*d - 20, -2*d + 4 = -5*t. Calculate the remainder when d is divided by 3.
1
Let q(x) = -16*x - 2. Let s be q(-4). Suppose s + 4 = 3*d. What is the remainder when 42 is divided by d?
20
Let c(g) = g**3 - 20*g**2 + 22*g - 20. Calculate the remainder when 73 is divided by c(19).
36
Let f(l) = -7*l + 4. Calculate the remainder when f(-8) is divided by 21.
18
Let r = 25 + -7. What is the remainder when 31 is divided by r?
13
Suppose -59 = -2*l + 21. Let g be (-6)/(2*(-3 + 2)). Calculate the remainder when l is divided by (0 - -3)/(g/14).
12
Let z = 24 + -7. Suppose -3 = -7*o + 6*o. Suppose -o*m + 80 = -16. Calculate the remainder when m is divided by z.
15
Let r(q) be the third derivative of q**5/15 - q**4/12 - q**3/6 - 2*q**2. Calculate the remainder when 36 is divided by r(-2).
17
What is the remainder when 34 is divided by (-2)/(-2)*(7 - -2)?
7
Let v(f) = f**2 + 17. Calculate the remainder when 51 + (4 - (-1 + 6)) is divided by v(0).
16
Let n = -13 - -61. Calculate the remainder when n is divided by 10.
8
What is the remainder when 9 is divided by (-2 + 4/3)*-6?
1
Calculate the remainder when 104 is divided by 28 - (0 - (-3 + 2)).
23
Let m(n) = 3*n + 1. Calculate the remainder when 37 is divided by m(3).
7
Let p(x) = -x**3 + 5*x**2 + 8*x - 4. Let c(y) = 3*y - 9. Let t be c(5). What is the remainder when 22 is divided by p(t)?
6
Suppose -l = 2*l - 6. Suppose -4*n = -r + 22, r = -l*n - n - 6. Calculate the remainder when 10 is divided by r.
4
Suppose g + 8 = -2*g + 2*m, 3*m - 12 = 2*g. What is the remainder when 0 + 2 + 9 + g is divided by 4?
3
Suppose 234 = 14*r - 5*r. Suppose q + 0*q = -v - 30, 3*v - q = -110. Let i = -21 - v. What is the remainder when r is divided by i?
12
What is the remainder when 7 is divided by -3*(-3)/9 - -3?
3
Let o(b) = 43*b**3. What is the remainder when o(1) is divided by 15?
13
Suppose -52 = -5*a + 4*a. Suppose -3*z + 16 = a. What is the remainder when 12 is divided by (-2)/(-6) - 80/z?
5
Let z(d) = -6*d**3. What is the remainder when 11 is divided by z(-1)?
5
Let c(w) = -w**2 + 7*w - 4. What is the remainder when 14 is divided by c(4)?
6
Suppose -4*d - 2*h = -12, -6*h = -h + 10. Suppose -2*i = d*w - 0*w - 40, -i - w = -20. Calculate the remainder when 39 is divided by i.
19
Let h = 3 - -2. Suppose 0 = -2*y + h*f + 42, 0*y - 48 = -4*y + f. Calculate the remainder when y is divided by 4.
3
Suppose r - 9 = 2*r. Calculate the remainder when 18 is divided by 5/(-1 + r/(-6)).
8
Let p(x) = -2*x**2 - 14*x - 9. Let u be p(-6). Suppose 0 = -5*m - 2*j + 143, -u*m + 5*j = -0*m - 92. What is the r