5
Let i(v) = v**2 + 3*v + 6. Suppose 3 = -n - 4. Let p(t) = t**3 + 8*t**2 + 9*t + 7. Let l be p(n). What is the remainder when i(l) is divided by 12?
10
Let p = 1 + 3. Suppose 0 = -2*f - z + 19, -3*z = -5*f - 0*z + 42. Suppose -f = -p*d + 3*d. What is the remainder when 15 is divided by d?
6
Calculate the remainder when 30 is divided by 2/7 - ((-3264)/(-56))/(-6).
0
Let r(h) = 3*h - 3. Let w be r(3). Calculate the remainder when (62/(-3))/(w/(-9)) is divided by 16.
15
Let b(d) = -d**3 - 11*d**2 + 20*d + 14. What is the remainder when b(-13) is divided by 19?
16
What is the remainder when 49 is divided by 1/(-4) - (-285)/20?
7
Let r(z) = z + 2. Let v be r(3). Suppose -85 = -v*a - w, a - 2*w - 2*w - 17 = 0. Calculate the remainder when a is divided by 5.
2
Let s(n) = n + 2. Let b be s(0). What is the remainder when (-2)/b*-20 + 3 is divided by 8?
7
Let d = -69 - -116. Let p = d - 17. Calculate the remainder when p is divided by 11.
8
Let x = 35 - -72. Calculate the remainder when x is divided by 28.
23
Let c = -9 - 14. Let z = 31 + c. Calculate the remainder when 23 is divided by z.
7
Let g = -15 - -21. Suppose 3*l = 5*l - g. Suppose -l*j + 2*j = -n + 3, -4*j - 8 = -3*n. What is the remainder when 6 is divided by n?
2
Suppose 4*f + 4 = 36. Suppose 2*i + 5*q = 36, -2*i + 15 + 19 = 4*q. Calculate the remainder when i is divided by f.
5
Calculate the remainder when 900/22 - (-1)/11 is divided by 21.
20
Calculate the remainder when (-360)/(-16)*12/10 is divided by 16.
11
Let j = -95 - -151. Calculate the remainder when j is divided by 19.
18
Let l = -597 + 636. Let r(v) = 3*v**2 + 2*v + 1. Let p be r(-1). Suppose -x = p*x - 42. What is the remainder when l is divided by x?
11
Suppose 3 = 2*c - 2*m + 1, 0 = -2*c - 3*m + 27. What is the remainder when ((-35)/(-10))/(1/c) is divided by 11?
10
Suppose 5*v + 83 = 2*d, -3*d + 8*d - 218 = 2*v. Let y = 7 - 14. Let n = y + 22. What is the remainder when d is divided by n?
14
Let k = -3 - -4. Let l be ((-138)/12)/(k/(-8)). Suppose l = 4*z - 4*a, 3*z + z - 5*a - 91 = 0. Calculate the remainder when 47 is divided by z.
23
Suppose 4*t - 212 - 84 = -5*o, 0 = 2*o - t - 108. What is the remainder when o is divided by 19?
18
What is the remainder when 0 + 4 + (-60)/(-4) is divided by 5?
4
Suppose -j = j. Suppose -2*b + r + 33 = j, 6 = 3*r - r. What is the remainder when 35 is divided by b?
17
Let g = -9 - -16. Let t be (-324)/(-7) - 2/g. Let z = t + -8. What is the remainder when z is divided by 13?
12
Let f(y) = -y**3 - 7*y**2 - 8*y + 1. Suppose -2*z = -3*q - 3*z - 21, z = -3. Calculate the remainder when f(q) is divided by 7.
6
Suppose 0 = -p - 18 - 1. Let l = -13 - p. Calculate the remainder when 17 is divided by l.
5
Suppose -3*k + y - 23 = -7*k, -4*y + 37 = 5*k. Suppose 94 = 2*t + 4*m, -k*t = -m - m - 175. Calculate the remainder when t is divided by 13.
11
Let z be 107 - (3 + (-1 - 0)). Suppose z = -13*k + 16*k. What is the remainder when k is divided by 19?
16
What is the remainder when 8/6*(-945)/(-10) is divided by 32?
30
Suppose -h = -6 - 27. Let q = 85 - h. What is the remainder when q is divided by 2/7 - (-248)/14?
16
Suppose 1 = -i + 7. What is the remainder when 21 is divided by i?
3
Let a(o) = -o**2 - 6*o - 5. Let s be a(-4). Suppose -y - 128 = s*w, 0*w - 3*w - 5*y - 136 = 0. Let p = w + 82. What is the remainder when p is divided by 14?
12
Let h = 287 - 198. Let f = 37 + -14. What is the remainder when h is divided by f?
20
Let h = 232 - 115. What is the remainder when h is divided by 17?
15
Let r = 37 + -8. Calculate the remainder when 85 is divided by r.
27
Suppose -5*d = -15 - 55. Let k(l) = l - 5. Let u be k(-5). Calculate the remainder when d is divided by (u/(-4))/((-2)/(-4)).
4
Suppose -99 = -12*v + v. What is the remainder when v is divided by 6?
3
Suppose 391 = 10*n + 131. What is the remainder when 101 is divided by n?
23
Let o = -31 + 64. Calculate the remainder when o is divided by 18.
15
Let r(c) = -c**3 + 9*c**2 - 8*c + 3. Calculate the remainder when 10 is divided by r(8).
1
Calculate the remainder when 35 is divided by (-280)/(-80) - 10/(-4).
5
Suppose -5*l = 51 - 211. Let i(p) = -p. Let w be i(0). Suppose -2*t + t + 11 = w. Calculate the remainder when l is divided by t.
10
Let i = -222 - -311. Calculate the remainder when i is divided by 10.
9
Suppose 0*h = -h + 12. Suppose 2*f - h - 10 = 0. What is the remainder when ((-384)/(-30))/((-4)/(-10)) is divided by f?
10
Let y = -223 + 399. Calculate the remainder when (-3)/(-15) - y/(-20) is divided by 6.
3
Suppose 34 = 2*m + 12. Calculate the remainder when 20 is divided by m.
9
Suppose 3*w = 4*w - 38. Calculate the remainder when 187 is divided by w.
35
Let w = 0 - 3. Let j(a) = -a**3 - 2*a**2 - 4. Calculate the remainder when 13 is divided by j(w).
3
Suppose -2*o + 206 = 5*c - 85, 4*c + 282 = 2*o. What is the remainder when o is divided by 18?
17
Suppose 17 - 107 = -6*y. What is the remainder when y is divided by 7?
1
Let x be ((-6)/(-4))/(1/2). Let b be x/9 + (-4)/(-6). Suppose -3*d + 4*d = b. What is the remainder when 2 is divided by d?
0
Suppose k = -4*k + 85. What is the remainder when 33 is divided by k?
16
Suppose -2*h - v + 0*v = -49, 0 = -4*h - 5*v + 83. Suppose 2 = 2*b + 4*l, -2*b = 2*b - 3*l + 7. Let q = h + b. Calculate the remainder when q is divided by 14.
12
Let z(b) = 2*b**3 - 10*b**2 - 7*b - 10. Calculate the remainder when 97 is divided by z(6).
17
Let d(y) = y**3 - 7*y**2 + 5*y - 6. Let c = 4 - 3. Calculate the remainder when d(7) is divided by c/(-2*2/(-60)).
14
Suppose -2*o - 2*u = -3*u - 35, 3*u + 89 = 5*o. What is the remainder when o is divided by 11?
5
Let b = 1 - -24. Calculate the remainder when b is divided by 9.
7
Suppose -j = -21 + 6. Calculate the remainder when 87 is divided by j.
12
Let k(u) = -u**2 - 6*u + 2. What is the remainder when k(-5) is divided by (-12)/5*(-15)/9?
3
Let b = 142 - 45. Let m = b - 39. What is the remainder when m is divided by 30*(2 - (-4)/(-3))?
18
Let z(j) = -j**3 - 9*j**2 - 2*j - 15. What is the remainder when 17 is divided by z(-9)?
2
Suppose 0*a = 3*a - 36. Suppose 0 = -2*l - 2*t - 2, -4 = 2*l - 4*t - 20. Suppose l*f - a = -2*f. What is the remainder when 7 is divided by f?
1
Let l = -98 + 140. Let j = -19 + l. Calculate the remainder when j is divided by (-2*1)/((-2)/8).
7
Suppose 5*i - 30 = -5*a, a = 2*i - 0*i - 15. Calculate the remainder when i is divided by (-2)/(-4) - (-14)/4.
3
Suppose -2*x = 15 + 45. Let w = 68 + x. What is the remainder when 73 is divided by w?
35
Suppose q + 3 - 6 = 0. Suppose 11 = c + 2*w, 2 = -2*c + q*c - w. Calculate the remainder when 19 is divided by c.
4
Let j(z) = -z**3 - 3*z**2 + 15*z + 1. What is the remainder when 56 is divided by j(-6)?
18
Let s(n) = -n**3 + n**2 - n + 1. Let f be s(0). Let r = 1 - f. Suppose -4*j - 17 + 113 = r. Calculate the remainder when 71 is divided by j.
23
Suppose 0 = 2*u - 2*b - 38, -u - 3 - 2 = 5*b. What is the remainder when 26 is divided by u?
11
Let x(n) = 2*n**2 + 11*n - 6. Let s be x(-8). Suppose -2*o + 84 + s = 0. Calculate the remainder when o is divided by 20.
19
Let a(d) be the third derivative of d**6/120 - 7*d**5/60 + d**4/12 - 4*d**3/3 - d**2. Let h be a(7). What is the remainder when 40 is divided by -3*(2 - 40/h)?
12
Suppose -28 - 37 = -13*a. What is the remainder when 21 is divided by a?
1
Suppose 0*i + 4 = 2*i. Let s be ((-1 - -69) + i)/1. Suppose 2*d - 5*w - s = 0, -w = -3*d + w + 105. Calculate the remainder when d is divided by 18.
17
Suppose 0 = 5*r - 5 - 0. Suppose -n = 4*z + r, 2*n - 3*z + 2 = 11. Calculate the remainder when 0 - (-3)/(n/7) is divided by 4.
3
Let b = -11 + 15. Let q = 2 - -5. What is the remainder when q is divided by b?
3
Suppose -7*v + 3*v + 16 = 0. Let x(c) = c**3 - 6*c**2 + 3*c - 15. Calculate the remainder when v is divided by x(6).
1
Suppose -2*a + 15 = -2*b - 3, 4*a = 2*b + 20. Let o(n) = -n**3 - 7*n**2 + 5*n - 5. Calculate the remainder when o(b) is divided by 7.
5
Suppose -20 = -5*a - 2*r, 5*a = 4*r + 35 + 15. Let q = 13 - 3. What is the remainder when q is divided by a?
4
Let l be (-3)/6*0 + 86. Let o be l/18 - (-6)/27. Suppose -2*p - 4*n + 5 + 13 = 0, o*p = 5*n + 120. Calculate the remainder when 55 is divided by p.
17
Let n(y) = y**2 - 11*y + 38. Calculat