t v(o) = -o**3 - 4*o**2 + o + 4. Let t be v(-4). Suppose -3*p + 15 + 21 = t. Calculate the remainder when 34 is divided by p.
10
Let r = 4 + 0. Suppose r*m - 92 = -28. Calculate the remainder when m is divided by 9.
7
Let k = 3 - -2. Suppose 0 = k*m + 3*z - 20, -18 = -3*m - 4*z + z. Calculate the remainder when 1 is divided by m.
0
Let s(g) = 17*g**3 + 4*g - 4. Calculate the remainder when s(1) is divided by 12.
5
Let h = 444 - 308. Let y = -83 + h. Calculate the remainder when y is divided by 18.
17
Suppose -2 = -2*j + 2. Let n = j + 1. What is the remainder when 4 is divided by n?
1
Let r = -3 + 6. Let v be r/2 + 1/2. Suppose -3*c + 5*p = -32, 4*p + 6 = v. What is the remainder when c is divided by 5?
4
Let m(c) = -c. Calculate the remainder when 31 is divided by m(-16).
15
Let b = -93 + 180. Calculate the remainder when b is divided by 45.
42
Suppose -3*n + 2 = -4. Suppose -4*h - 5*l + 0*l + 17 = 0, -h = -n*l - 14. Suppose 13 = 4*g - 7. What is the remainder when h is divided by g?
3
Suppose -14 = 4*u + 10. Let p be 35*((-9)/5)/(-3). Let a = p + u. Calculate the remainder when 28 is divided by a.
13
Suppose 5*l = -92 + 527. Let w(q) = -23*q - 1. What is the remainder when l is divided by w(-1)?
21
Suppose -3 = -3*n - 5*i - 22, 3*n - 11 = i. Let v(g) = -70 + 70 - g**2 + 2*g**2 - 4*g. Calculate the remainder when v(5) is divided by n.
1
Let v be 85/4 - (-3)/(-12). Suppose 0 = -v*n + 23*n - 36. What is the remainder when 52 is divided by n?
16
Suppose -2*d = 2*d - 76. What is the remainder when d is divided by 10?
9
Suppose 0 = 4*j - 3*i - 115, -5*j + 161 = -3*i + 5*i. Suppose 0 = w + 3*w - 64. Calculate the remainder when j is divided by w.
15
Suppose 5 = c - 4*m, 3*m - 8 = -c + 4*m. What is the remainder when 16 is divided by c?
7
Let t(k) = 3*k**2 + 2*k + 2. What is the remainder when t(3) is divided by 19?
16
Let q(k) = 12*k**2 + 2*k - 4. Let x be q(-3). Suppose 5*s + 19 = r, 2*s - x = -4*r - 0*s. Calculate the remainder when r is divided by (-6)/(-5)*(-15)/(-2).
6
Let q = -36 + 55. Let f(z) = z - 6. Let k be f(6). Suppose -5*n + 18 + 17 = k. What is the remainder when q is divided by n?
5
Let o(j) = 2*j**3 - 2*j**2 - 2*j - 3. What is the remainder when o(4) is divided by 29?
27
Suppose -4*c + 56 = 4*i, -2*i - 2*c - 38 = -6*i. What is the remainder when 41 is divided by i?
8
Let m(y) = y**2 + 2*y + 2. Let a be m(-3). Suppose -a*x = -2*d + 44, -2*d + 7*d - 2*x = 89. What is the remainder when 31 is divided by d?
14
Suppose 0 = -k + 3 + 3. What is the remainder when ((-6)/(-4))/(k/152) is divided by 13?
12
Let i(t) = 3*t - 8. Let g = 0 - -11. Calculate the remainder when i(g) is divided by 14.
11
Suppose 5*s + 32 = 177. What is the remainder when s is divided by 8?
5
Let z(x) = x**2 + 6*x + 10. Suppose -3*n = -5*k - 461, 0 = 5*k - 4*n + 3*n + 467. Let y = -44 - k. What is the remainder when y is divided by z(-7)?
16
Let c be (6/((-6)/2))/(-1). Suppose c*s + 9 = -5*i, 5*s - 4*i + 3*i - 45 = 0. Calculate the remainder when 14 is divided by s.
6
Suppose 0 = -6*b + 201 + 45. Calculate the remainder when b is divided by 22.
19
Let l = 37 - 11. Calculate the remainder when 47 is divided by l.
21
Calculate the remainder when 72/33 + -2 + 779/11 is divided by 38.
33
Suppose -4*l + 25 = -95. Suppose -5*s + 20 = -0*s. Suppose s*r = -r + 80. Calculate the remainder when l is divided by r.
14
Let j = 46 - 20. Calculate the remainder when j is divided by 7.
5
Suppose 5*m + 2*a - 85 = 0, -m + 17 = -0*m + 5*a. What is the remainder when 81 is divided by m?
13
Let m(x) = -x**2 + 5*x - 3. Let n be m(6). Let b = 25 + n. Calculate the remainder when 31 is divided by b.
15
Suppose 0 = -0*z - 4*z + 12. Calculate the remainder when 12 is divided by z.
0
Let f(d) = -d**2 + 5*d + 10. Calculate the remainder when f(6) is divided by 3.
1
Let g be (3 + (-22)/8)*0. Suppose c + c - 32 = g. What is the remainder when c is divided by 9?
7
Let s(y) = -63*y + 2. Calculate the remainder when s(-1) is divided by 17.
14
Let x = 25 - 12. Calculate the remainder when 23 is divided by x.
10
Let q be (-2)/(-9) - (-194)/18. Let p = 49 - q. Suppose -765 + 925 = 8*h. What is the remainder when p is divided by h?
18
Let s = -61 - -85. Suppose 0 = -4*l + 4*m + 64, 0 = -l + 2*m + 31 - 12. Calculate the remainder when s is divided by l.
11
Let p(k) = 3*k**3 + 3*k**2 + 3*k + 3. Let m be p(-3). Let o = m - -92. Suppose -o = -s - y, -s + 4*s + 5*y = 98. Calculate the remainder when s is divided by 8.
7
Suppose -4*g = -0*g. Suppose -6*i - 7 = -7*i. Suppose g - i = -v. Calculate the remainder when 18 is divided by v.
4
Suppose -5*s - x = -308 + 53, -2*s + 120 = 4*x. Calculate the remainder when s is divided by 13.
11
Let t = 2 - 5. Let v(w) be the second derivative of w**4/12 - 2*w**3/3 - w**2 + 21*w. What is the remainder when 37 is divided by v(t)?
18
Suppose 4*m - 591 = -i, -i + 6*i = 5*m - 720. What is the remainder when m is divided by 25?
22
Suppose u = -4*x + 21, 0 = 5*x - 4*u - 1 - 20. Suppose -g = -4*i - x - 42, 0 = 4*g + 5*i - 167. What is the remainder when g is divided by 15?
13
Let j = -4 - -7. Suppose j*w - 4 = 2. Suppose 98 - 34 = 4*p + w*m, 5*m - 48 = -3*p. Calculate the remainder when 30 is divided by p.
14
Let d(n) = 1. Let h(u) = 51*u + 5. Let w(f) = 4*d(f) - h(f). Let i be w(-1). Suppose -5*t + 10*t = i. What is the remainder when t is divided by 3?
1
Let k(t) = t**3 + 7*t**2 + 8. Calculate the remainder when 21 is divided by k(-7).
5
Let x(n) = 2*n**2 - 3*n + 1. Suppose 2*f + 9 = b, f = b - 2*b + 18. Suppose 0 = -2*u - 3*u + b. Calculate the remainder when x(3) is divided by u.
1
Let b be ((-1)/3)/((-5)/45). Suppose -56 = -f - b*f. What is the remainder when 40 is divided by (f/(-4))/((-1)/4)?
12
Let y = -41 + 81. Suppose 3*w - b + 244 + 174 = 0, -b = -4. Calculate the remainder when y is divided by w/(-10) + (-2)/(-10).
12
Calculate the remainder when 12/(-20) + (1878/10)/3 is divided by 17.
11
Suppose 2*g - 14 = -t - 0*t, 18 = t - 2*g. What is the remainder when t is divided by 9?
7
Let x(c) = 2*c - 6. Let d = 4 - 4. Suppose -2*p + j + 18 = 2*p, d = j - 2. Calculate the remainder when x(p) is divided by 2.
0
Suppose 4*q + 5*r = -0*q + 7, -49 = -3*q + 5*r. Suppose 0 = 5*d - i - 31, d - 4*i - 2 = q. What is the remainder when d is divided by 4?
2
Suppose -i + 4*b = -3, -2*i = 3*i + b - 78. Suppose -u + 35 = 4*d, -4*u = -0*u - 4*d - 180. What is the remainder when u is divided by i?
13
Let o(d) = 3*d**2 - 1 + 5*d**2 - 4*d**2. Let a be o(-1). Suppose 10 = 5*t - 4*z - 126, 0 = a*z - 3. What is the remainder when t is divided by 10?
8
Let b be 9/(-12) + 18/(-8). Suppose 3*z - 30 = -0. What is the remainder when 29 + 1 + 1 + b is divided by z?
8
What is the remainder when (-1)/(3 + 38/(-12)) is divided by 4?
2
Let k(w) = -w**3 + 6*w**2 - 6*w + 3. Let y be k(5). Let n = 9 + y. Calculate the remainder when 6/15 - (-186)/10 is divided by n.
5
Let f be -2*(-1)/2 - 14. Let g(k) = 7*k - 2. Let w be g(4). Let v = f + w. What is the remainder when 25 is divided by v?
12
Suppose 510 = 14*x - 4*x. Calculate the remainder when 203 is divided by x.
50
Suppose -2*c - 2*r = 100, 1 = 3*r + 13. What is the remainder when 2/(-6) + c/(-3) is divided by 4?
3
Suppose -2*o + 4*b - 443 = -b, b - 1165 = 5*o. Calculate the remainder when 61 is divided by (-6)/(-15) + o/(-15).
13
Let u(j) = j - 2. Let o be u(-8). Let b = o + 17. What is the remainder when 13 is divided by b?
6
Let q(v) = 5*v - 14. What is the remainder when 63 is divided by q(6)?
15
Suppose -4*b = l - 17, 2*l = -5*b - 0 + 22. What is the remainder when 26 is divided by b?
2
What is the remainder when 6/(-4)*(230/(-6) - 1) is divided by 30?
29
Let u = -36 + 131. What is the remainder when u is divided by 32?
31
Let t(q) = q - 6. Let n be t(8). Suppose -n*x - 3 = -39. Suppose -13 = -o - 3. Calculate the remainder when x is divided by o.
8
Let h = -109 + 57. Let j = 86 + h. Suppose 6*d - d = 60. Calculate the remainder when j is divided by d.
10
Let y be 28 + 0/2 - 1. Let o = -4 + y. What is the remainder when o is divided by 8?
7
Let m = 7 + 0. Suppose 4*r + 2*w + w - 115 = 0, -w - 20 = -r. Calculate the remainder when r is divided by m.
4
Suppose -12*i = -15*i + 27. Suppose -3*o - 16 = -5*a, 3*o - 3 + i = 0. What is the remainder 