Let f = 96 + s. What is the remainder when f is divided by x?
12
Suppose -w + 2*w = 14. Let k = -109 - -69. Let v = k - -67. Calculate the remainder when v is divided by w.
13
Suppose -5*k - 4*a + 0 = -43, -5*a - 59 = -4*k. What is the remainder when 74 is divided by k?
8
Let h(d) = -d**3 + 12*d**2 - 15*d - 3. Let z be h(11). Let b = z - -70. What is the remainder when 91 is divided by b?
22
Let q = -6 - -11. Suppose -q*p + 45 = -5*y, 15 = p - 3*y - 0. What is the remainder when 2 - (-2 + p) - -12 is divided by 6?
4
Suppose -2*b = -3*i - 48, b - 2*i - 26 = -0. Let j(r) = 6*r + 10. Calculate the remainder when j(7) is divided by b.
16
Suppose 4*t - 10 = 3*v + 17, -3*t = -3*v - 24. Calculate the remainder when 14 is divided by t.
2
Let q(r) = r**2 + 3*r + 4. Let v be q(-3). Suppose -v = -5*s + 6. Calculate the remainder when (-4)/(2/1)*-1 is divided by s.
0
Let d = 213 - 149. Suppose -5*v = -4*h + 144, -v - 48 = 7*h - 3*h. Let w = v + d. What is the remainder when w is divided by 11?
10
Suppose 0*b + 3*b = 12. Suppose b*z = 0, 59 + 97 = 4*w + 3*z. Let c(n) = n**3 - 9*n**2 + 10*n - 2. What is the remainder when w is divided by c(8)?
11
Let b(y) = 5*y**2 - y. Let g be b(-1). Suppose 2*n - 20 = 2*r, -2 = -r - g. Calculate the remainder when 15 is divided by n.
3
Let g(b) = b**2 - b. Let t(h) = h**3 + h**2 - h - 7. Let v(x) = -6*g(x) - t(x). What is the remainder when 43 is divided by v(-8)?
13
Let w(r) = r**2 + 6*r + 3. Let q be w(-4). Let i = 7 + q. Suppose -2*k + 5*d + 27 = 0, 41 = 4*k + d + i*d. What is the remainder when k is divided by 4?
3
Suppose 8*a - 3*a = -3*d - 11, -2*d + a = -10. Suppose 0 = -4*k - q - 7 + 62, -9 = -d*q. Calculate the remainder when k is divided by 8.
5
Let l be 6/(-4)*24/(-9). Let c(b) = 4*b + l*b**2 - 3 - b - 3*b**2. What is the remainder when 13 is divided by c(-5)?
6
Let n = -8 - -19. Calculate the remainder when 1*8/4*16 is divided by n.
10
Let c(n) = -4*n + 2. Let f be c(-2). Suppose 2*z + f - 50 = 0. What is the remainder when z is divided by 11?
9
Suppose 0 = b - 4*r - 7, 0*r + r - 23 = -2*b. Let h be 6/15 + (-729)/(-15). Suppose 0 = -3*z + 44 + h. What is the remainder when z is divided by b?
9
Let w(a) = 6*a**2 + 2*a. What is the remainder when 109 is divided by w(2)?
25
Let v(a) = 7*a**2 + a - 2. Let m be (-1)/(3/(-6)) + 0. What is the remainder when v(m) is divided by 8?
4
Let b be (2 + -3)/((-2)/(-48)). Let m = -11 - b. Suppose -3*f = 2*c - 57, -5*c - 2*f = -3*f - 117. What is the remainder when c is divided by m?
11
Let d be 1 + 91 + 40/10. Suppose -18 = -b + 4*h, -4*b = -4*h - 0*h - d. Let v(m) = -m + 4. Calculate the remainder when b is divided by v(-5).
8
Suppose 5*h = 3*p - 237, 2*h - 258 = -7*p + 4*p. Suppose -4*l + 0*l - p = 0. Let j = l - -57. What is the remainder when j is divided by 19?
17
Suppose 4*m = 3 - 7, 0 = 2*s - m - 9. What is the remainder when 9 is divided by (-1 + s)*(0 + 1)?
0
Let p be 76/18 - 8/36. Suppose 4*k + 5*a - 271 = 0, -4*k + p*a = -205 - 39. What is the remainder when k is divided by 13?
12
Suppose 4*d = -63 + 167. Let n = 36 - d. What is the remainder when n is divided by 3?
1
Suppose 2*j = 4, j - 162 + 44 = -y. Calculate the remainder when y is divided by 24.
20
Let v = -8 + 12. Suppose -v*h - 6*l + 64 = -l, 2*h = -4*l + 26. Let c(d) = 8*d + 22. What is the remainder when c(5) is divided by h?
20
Let v(h) = h**2 - h. Calculate the remainder when 165 is divided by v(-6).
39
Let s = 24 - -149. Calculate the remainder when s is divided by 59.
55
Let l(g) = 5*g**2 - 5*g + 3. Let n be (1 - -1) + 2 + 1. Suppose n*m - 15 = 0, 4*d + 3*m = 33 - 12. Calculate the remainder when l(d) is divided by 17.
16
What is the remainder when 4 is divided by (-9)/15*10/(-2)?
1
Let r(p) = -2*p**2 + 15*p + 6. Calculate the remainder when 51 is divided by r(7).
12
Suppose -24 = -2*c - 4*j, 4*c + 2*j - 76 = j. Calculate the remainder when c is divided by 12.
8
Let u(b) = -b**2 - 7*b + 5. Let v be u(-7). Suppose v*r - 170 = 80. What is the remainder when r is divided by 13?
11
Let c(l) = 2*l**2 - 3*l. Let q(w) be the first derivative of w**2/2 + 10*w - 5. What is the remainder when q(6) is divided by c(3)?
7
Suppose 22 = 2*x - x. Suppose 2*u = 6*u - 32. Calculate the remainder when x is divided by u.
6
Suppose 3*h - 15 = 48. Suppose 0 = -u - 3 + 36. Let x = -22 + u. What is the remainder when h is divided by x?
10
Let r(p) = 3*p + 2. Let h(q) = 2*q + 1. Let v(w) = 5*h(w) - 2*r(w). Let g be v(4). Suppose 3*i - g = -5. Calculate the remainder when 15 is divided by i.
3
Let q(o) = 3*o + 5. What is the remainder when 67 is divided by q(4)?
16
Let x = 19 - 15. Suppose -x*a = a - 70. What is the remainder when 53 is divided by a?
11
Let y = -69 + 75. Suppose 2*v - 31 = -3*t + 4*v, 0 = -2*t + 3*v + 24. Calculate the remainder when t is divided by y.
3
Let x = 24 + -12. What is the remainder when 22 is divided by x?
10
Suppose -9*a = -a - 72. What is the remainder when 53 is divided by a?
8
Let a(l) = 3*l**2 - 2*l + 1. Let y(p) = 2*p**2 - 3*p + 1. Let n(u) = 3*a(u) - 4*y(u). Calculate the remainder when n(-10) is divided by 8.
7
Let i(p) = 2*p - 13. Suppose 19 = 3*x - 17. Calculate the remainder when 2 + (8 - 2)*5 is divided by i(x).
10
Let f be (-2)/((-4)/2) - -1. What is the remainder when ((-6)/12)/(f/(-108)) is divided by 15?
12
Suppose -5*s - 274 = -s + m, -2*s - 2*m = 140. Let y = s + 95. Calculate the remainder when y is divided by 15.
12
Suppose 5*g - 12 = 2*u, 4*g + u - 2*u = 9. What is the remainder when 23 is divided by g + -2 + 6 + 2?
7
Let x be (39/2)/((-2)/(-8)). Calculate the remainder when x - -1 - (1 - -1) is divided by 26.
25
Let j be 5 + -6 - 2/1. Let v(t) = t**3 + 3*t**2 + 1. Calculate the remainder when v(j) is divided by 1.
0
Suppose 4*m + 28 - 88 = 0. Suppose 105 + 40 = 5*i. What is the remainder when i is divided by m?
14
Suppose 7*l - 288 = -2*l. What is the remainder when l is divided by 6?
2
Let r(p) = 15*p**2 - 10*p + 11. Let d = 0 - -2. Suppose -d*j + 90 = j. Calculate the remainder when j is divided by r(1).
14
Let s be (2 + 0 - -4)/2. What is the remainder when (-2)/s - (-394)/6 is divided by 17?
14
Let x(f) = -f**3 + 6*f**2 - 2*f - 1. Suppose -15 + 63 = 4*a. Calculate the remainder when x(4) is divided by a.
11
Let i be -2*1 - (-18)/3. Suppose 3*b = i + 20. Calculate the remainder when b is divided by 5.
3
Suppose 4*g = -k + 60, -3*g - 3*k = -2*g - 4. Let o(y) = 2 - 3 + 0 - 5*y. What is the remainder when g is divided by o(-2)?
7
Let f be (-2)/(-3)*(8 - 5). Suppose -4*h = -f*z + 42, -z - 3*z = -12. Calculate the remainder when 1*-1*(h + 0) is divided by 5.
4
Suppose -d = u - 10, d - 32 = -2*u - 4*d. Let h(f) = -f**3 + 7*f**2 - 4*f - 4. Calculate the remainder when 13 is divided by h(u).
5
Let d(k) = -k**3 - 5*k**2 + 2*k - 4. Let o(n) = -2*n**3 - 5*n**2 + n - 5. Let f(w) = -3*d(w) + 2*o(w). Calculate the remainder when 29 is divided by f(3).
5
Suppose -2*s + 7*s - 18 = 4*z, 0 = -4*s - 3*z + 2. Suppose -15 = -s*c - c. What is the remainder when 9 is divided by c?
4
Calculate the remainder when (-363)/(-12) + 2/(-8) is divided by 8.
6
What is the remainder when 71 is divided by (-3)/((-3)/(-4)) - (0 - 23)?
14
Let g(l) = l**2 + 8*l - 7. What is the remainder when g(5) is divided by 3 + 16/(-12)*(-8 + -1)?
13
Let j = 9 + -14. Let y(u) = u**2 + 4*u + 4. What is the remainder when y(j) is divided by 5?
4
Let m = 1 - 4. Let k = 10 + m. What is the remainder when k is divided by (8/(-10))/((-1)/5)?
3
Suppose -4*q = -5*y - 9*q + 30, 4*y - 3*q = 59. What is the remainder when 21 is divided by y?
10
Let x = 10 - 8. Suppose 6*h - x*h = 32. Suppose z + z = 2*t + h, 4*z - 5*t = 11. Calculate the remainder when 17 is divided by z.
8
Suppose 291 = -25*o + 28*o. What is the remainder when o is divided by 50?
47
Suppose -11 = -8*z + 7*z. What is the remainder when z is divided by 6?
5
Let v = -12 + 17. Suppose 0*f + v*f - 170 = 0. Calculate the remainder when f is divided by 9.
7
Suppose -3*v - 40 = -4. Let u(b) = -2*b + 7. What is the remainder when u(v) is divided by 11?
9
Suppose -4*b - 74 = 110. Calculate the remainder when 0/1 - (b + 0) is divided by 3/((-6)/(-32)) + 0.
14
Suppose k + 480 = 5*k - 4*d, -k - d = -122. Calculate the remainder when k is divided by 31.
28
Let s(m) = -m. Wha