*v. Let f be g(4). Suppose 5*y = 6*y - f. Calculate the remainder when 15 is divided by y.
7
Let i(m) = m**3 - 5*m**2 + m - 7. Let v be i(5). Let x = v + -1. Let y(f) = 2*f**2 + 5*f + 4. Calculate the remainder when 20 is divided by y(x).
6
Let x(k) = -k**2 - 1. Let n be x(0). Let i = n - -28. Suppose 5*j - 2*j - 30 = 0. What is the remainder when i is divided by j?
7
Suppose 0 = 3*k + 33 + 12. Suppose o = 3*z - 6*z - 33, z + 4*o + 22 = 0. What is the remainder when 22 is divided by (-82)/z - (-3)/k?
6
Let w be ((-5)/(-4))/(2/8). Suppose -w*t = -2*t - 291. What is the remainder when t is divided by 33?
31
Suppose -2*f - f = -210. Suppose -2*t + 3*i + i + f = 0, 4*t = i + 119. Let w(l) = 2*l**2 - 7*l. What is the remainder when t is divided by w(5)?
14
Let b be (-19)/(-4) - 12/16. Suppose 2*i = 4*x - 32, 3*x + b*i - 2*i = 17. Calculate the remainder when 18 is divided by x.
4
Let z(n) = -n**3 - 4*n**2 - 4. Let h be z(-4). What is the remainder when 2/h*17*-2 is divided by 10?
7
Let v = 7 + -4. Suppose -v*l + 43 = -2*g - 3*g, -10 = 2*g. What is the remainder when 17 is divided by l?
5
Suppose -3*n = -5*n + 78. What is the remainder when n is divided by 6?
3
What is the remainder when (-4 - -1) + (-64)/(-8) is divided by 4?
1
Let n = -16 - -63. What is the remainder when n is divided by 16?
15
Let j = 11 - 6. Let s = -2 + j. Suppose -150 = -3*q - 0*y - s*y, -5*y + 20 = 0. What is the remainder when q is divided by 16?
14
Let p(z) = 6*z + 1. Calculate the remainder when p(4) is divided by 13.
12
Suppose 4*l = 3*t - 187, -t + 2 = 4*l - 55. What is the remainder when t is divided by 16?
13
Let d(z) = z**3 + 6*z**2 - 2. Let t be d(-6). What is the remainder when 58 is divided by (4 + 6)*(-3)/t?
13
Let r(g) = 2*g + 4. Let b be r(-4). Let s(h) = h**3 + 9*h**2 + 5*h + 6. Let p be s(b). Suppose 5*y = p + 69. Calculate the remainder when y is divided by 14.
13
Suppose -5*u = -y - 18, 2*u + 3*y = u - 6. Suppose c = u*m - 101 - 67, -m - c + 52 = 0. What is the remainder when m is divided by (38/(-3))/((-4)/6)?
17
Let w be 4 + -2 + 1 + 229. Suppose 2*n - w = -2*n. What is the remainder when n is divided by 15?
13
Suppose -3*v + 6 = -15. Calculate the remainder when 13 is divided by v.
6
Let k = 405 + -175. Suppose 0 = -3*c + h + k, 2*c = -c + 3*h + 234. Suppose -7*m + 5*m = -c. Calculate the remainder when m is divided by 10.
8
Let v(i) = -i - 9. Suppose 0*t + 14 = -2*t. Let f be v(t). Calculate the remainder when 18 + f/1 + -1 is divided by 8.
7
Let f(q) be the first derivative of 10*q**3/3 + q**2/2 - 1. What is the remainder when 15 is divided by f(-1)?
6
Let z = 38 - 25. Let a(y) = -36*y**3 + y**2 + y + 1. Calculate the remainder when a(-1) is divided by z.
11
Let f = -44 - -48. What is the remainder when 12 is divided by f?
0
Calculate the remainder when (-4)/((-4)/159) + 0 is divided by 32.
31
Suppose 4*w - 45 = 47. What is the remainder when 90 is divided by w?
21
What is the remainder when 33 is divided by (-2 - -22)*(-9)/(-15)?
9
Suppose -5*h - 5*w + 267 = 22, 43 = h - 5*w. What is the remainder when 95 is divided by h?
47
Let y(l) = l**3 - 11*l**2 + 13*l - 6. Let p(a) = 4*a - 3. Calculate the remainder when y(10) is divided by p(4).
11
Let p(z) = -z**3 + 9*z**2 + 4*z - 12. What is the remainder when p(8) is divided by 29?
26
Let d = 4 - 0. Suppose 4*a - 20 + d = 0. Suppose -3 = j, -3*z - a*j - 28 = -5*z. Calculate the remainder when z is divided by 3.
2
Suppose -3*g - 1526 = -2*c - 6, 5*c + 1996 = -4*g. What is the remainder when 32 is divided by g/(-45) + (-2)/10?
10
Suppose -5*v + 3*l = 468, -l - 228 - 143 = 4*v. Suppose -9*i + 36 = -11*i. What is the remainder when 14 is divided by v/i - (-2)/(-12)?
4
Suppose -122 = 5*h - 12. Calculate the remainder when 20 is divided by 2*(h/4)/(-1).
9
Let g(n) = -n**3 + 11*n**2 - 13*n + 37. Let u = -23 - -43. What is the remainder when u is divided by g(10)?
6
Suppose -5*k = 4*u - 990 + 222, -162 = -k + 2*u. What is the remainder when k is divided by 32?
28
Let g(x) = -9*x**2 - 10*x + 0*x**3 - 10 - 2*x**3 + x**3. Let l be (-12)/(-10)*200/(-30). What is the remainder when 9 is divided by g(l)?
3
Let m(k) = k**2 + 2*k + 1. Suppose 0*r + 3 = -v + 2*r, -4*v - 6 = -5*r. Let z = v - -12. Calculate the remainder when m(-6) is divided by z.
12
Let g be (-6)/(-12) + (-6)/4. Let m be g*4/2 + 26. Suppose -2*j + r + 17 = 0, -2*r + 3*r = 3*j - m. Calculate the remainder when 19 is divided by j.
5
Let y(w) be the third derivative of w**5/60 + w**4/24 + 25*w**3/6 - 6*w**2. Calculate the remainder when y(0) is divided by 10.
5
Let p = 91 - 65. Suppose -z + 16 - 2 = 0. Calculate the remainder when p is divided by z.
12
Let m = 8 - 2. Let h(l) = l**2 - 7*l + 7. Let t be h(m). Calculate the remainder when -1 + 39/t + 2 is divided by 21.
19
Suppose 4*y - 35 = -3*s, 0 = -6*s + 3*s + 3*y. What is the remainder when s is divided by 3?
2
Let o(q) = 4*q**3 + 10*q**2 + 5*q + 8. Let f(k) = -9*k**3 - 21*k**2 - 9*k - 17. Let u(i) = 3*f(i) + 7*o(i). Calculate the remainder when 42 is divided by u(-5).
12
Let g(u) be the first derivative of u**3/3 - 5*u**2 + 6*u + 4. Calculate the remainder when g(11) is divided by 6.
5
Let d(x) = x - 8. Let s(c) = 2*c**3 - 2*c**2 + c + 1. Let w be s(2). What is the remainder when 7 is divided by d(w)?
1
Let f = -1 + -5. Let k = f + 11. Suppose k*i - 208 = i. Calculate the remainder when i is divided by 18.
16
Suppose -u = -f, -u = -5*f + u + 12. Suppose -f*i - 22 = -210. What is the remainder when i is divided by 8?
7
Suppose 43 = y + 2. What is the remainder when 284 is divided by y?
38
Let i = 89 + -87. Calculate the remainder when 12 is divided by i.
0
Let i be -15*(-3 - -1)/6. Suppose -l + i = 3. Calculate the remainder when ((-4)/6)/((-4)/18) is divided by l.
1
Calculate the remainder when (2 + -5)*-32 - 0 is divided by 33.
30
Suppose -v - 2*k + k = -174, 5*k = 3*v - 514. Calculate the remainder when v is divided by 35.
33
Let y(n) = n**2 - 3*n - 2. Calculate the remainder when y(-2) is divided by 8.
0
Suppose 42 = w - 14. What is the remainder when w is divided by 10?
6
Suppose 4*a = 0, 3*r = -2*a + 9 + 15. What is the remainder when r is divided by 5?
3
Let g(y) = y**2 - 5*y - 3. Let j be g(3). Let a = -2 + j. What is the remainder when (1 + -4 - -2)*a is divided by 4?
3
Let i(n) = -2 + n**2 + 0 + 1 + 0. What is the remainder when 23 is divided by i(-3)?
7
Let j = -101 + 153. Suppose 2*w - 20 - j = 0. Calculate the remainder when w is divided by 19.
17
Let p(k) = -21*k - 2. Let f be (-2)/(-2)*(2 - 1). Suppose f - 7 = 3*s. Calculate the remainder when p(s) is divided by 14.
12
Let l(z) = 4*z - 19 + 22 - 2*z. Calculate the remainder when l(4) is divided by 6.
5
Let f(s) = 2*s + 12. Let g(l) = -l - 12. Let z(m) = -6*f(m) - 5*g(m). Calculate the remainder when z(-6) is divided by 8.
6
Let m(b) be the second derivative of b**3/2 + 4*b**2 - 2*b. What is the remainder when m(7) is divided by 10?
9
Let w = -8 - -9. Let v(k) = 16*k**2 - 1. Let z = 114 - 71. What is the remainder when z is divided by v(w)?
13
Let r be 2/4 + (-105)/(-2). Suppose -3*i + 54 = 5*c, 3*c + 5*i + 11 = r. Calculate the remainder when 16 is divided by c.
7
Let s(z) = -3*z + 2. Let y(o) be the second derivative of 5*o**3/6 - o**2 - 3*o. What is the remainder when s(-4) is divided by y(2)?
6
Calculate the remainder when 1*(-2)/2*-35 is divided by 22.
13
Let f = 11 - 8. Let s be (-14)/((-8)/4)*5. Suppose 5*h - 5*g = s, h - 2 = 4*g + 5. Calculate the remainder when h is divided by f.
1
Let x(f) = f + 9. Let d be x(-7). Suppose d*p - 7 = 3. Let r = 75 + -72. Calculate the remainder when p is divided by r.
2
Suppose 0 = -6*i - 16 + 100. What is the remainder when 26 is divided by i?
12
Suppose 4*t + 3*b - 252 = 0, 5*t + 4*b = -213 + 528. Calculate the remainder when t is divided by 22.
19
Let f = -153 - -155. Let d(z) = z**3 - z**2 - 5*z + 2. What is the remainder when d(3) is divided by f?
1
Suppose 3*a - 10 = 5*d, 0 = 5*a - a - 2*d - 18. Let c(u) = u**2 - 2*u + 1. Calculate the remainder when c(4) is divided by a.
4
Suppose -i + 32 = -5*a, -8 = -i - 0*a - a. Calculate the remainder when 33 is divided by i.
9
Suppose -q + 12 = -1. Let d = 48 - q. Calculate the remainder when d is divided by 12.
11
Suppose 4*a + 2*f - 92 = 0, 5*a + 2*f 