ed by d.
1
Suppose 154 = 5*x - 56. What is the remainder when x is divided by 15?
12
Suppose -9 - 7 = -w. Suppose -5*c + c = -w. Suppose 5*y = -3*v + 70, -4*y - 18 = -7*y + 3*v. Calculate the remainder when y is divided by c.
3
Let r(o) = -5*o + 15. Let q(x) = -3*x + 8. Let v(b) = -7*q(b) + 4*r(b). Calculate the remainder when 37 is divided by v(6).
7
Suppose 0 = 4*t + 2*k - 8, 0 = -4*k + k - 6. Let b(x) = 19*x**2 - 18*x**2 + 4*x**t + 0*x**3. What is the remainder when 14 is divided by b(1)?
4
Let a(i) = -4*i**3 - 2*i**2 - 4*i - 7. What is the remainder when 121 is divided by a(-2)?
21
Suppose -73 = -4*s - 5. Calculate the remainder when s is divided by 9.
8
Let y = 203 + -190. Calculate the remainder when y is divided by 8.
5
Suppose -4*c + 2*k + 7 = -37, 4*k + 8 = 0. Suppose 32 = 6*w + 8. Suppose -q + 1 + 2 = 0, q = -w*z + 15. What is the remainder when c is divided by z?
1
Let n(y) = 2*y - 7. Let z be n(5). Let j = -6 + 11. Suppose -j*t + 16 = 2*i, -z*i - i + t = -54. Calculate the remainder when i is divided by 5.
3
Let t(f) = -f**3 - 6*f**2 + 9*f + 18. Suppose 0*s + 14 = 2*s. Calculate the remainder when s is divided by t(-7).
3
Let b be 1*-1*(3 + -8). Suppose b*w - 3 = 2. Suppose 2 = i - w. What is the remainder when 7 is divided by i?
1
Let h = 13 + 37. Let r = -14 + 31. What is the remainder when h is divided by r?
16
What is the remainder when ((-1)/1)/(1*(-4 - -3)) is divided by (4/6)/((-8)/(-12))?
0
Let t = 100 - 57. What is the remainder when 123 is divided by t?
37
Calculate the remainder when (-11)/33 - (-38)/6 is divided by 2.
0
Suppose -11*y + 88 = -198. What is the remainder when y is divided by 15?
11
Let s(y) be the first derivative of y**4/4 + 5*y**3/3 + 6*y + 1. What is the remainder when 234/15 + (-9)/15 is divided by s(-5)?
3
Suppose -2*p - 54 = -8*p. What is the remainder when 24 is divided by p?
6
Suppose -126 = -3*v - 24. What is the remainder when v is divided by -1 - -2*(-19)/(-2)?
16
Suppose -5*y + 5 = -4*y. Suppose w + y*m = 46 + 33, 0 = -4*w - m + 221. Calculate the remainder when w is divided by 14.
12
Let v = 36 - 26. Calculate the remainder when 13 is divided by v.
3
Suppose 27 = 4*w - 73. Suppose 2*c + 69 = 5*z, 5*c + 10 = -0. Calculate the remainder when w is divided by z.
12
Let j = 10 + -7. Suppose 25 = 2*g - g. Suppose -3*p - 2*p = -g. What is the remainder when p is divided by j?
2
Suppose -20 = -2*v - 0. Calculate the remainder when 2 - 0 - (-148)/4 is divided by v.
9
Let m be ((-20)/6)/((-4)/6). Suppose -m*p = -p - 12. Calculate the remainder when p is divided by 2.
1
Suppose -51 = 4*q - 11. Let c = 1 - q. Let a(b) = 5*b**3 - 2*b**2 - 2*b + 3. What is the remainder when a(2) is divided by c?
9
Suppose 4*p - 3 = g, g + 3*p - 7 - 4 = 0. Suppose 63 = g*n - 47. Calculate the remainder when n is divided by 8.
6
Let o = 4 - -3. Suppose 5*a = -n + o, -3*a = n - 7*a - 52. What is the remainder when 62 is divided by n?
30
Suppose -3*n = -6*f + f - 11, -3*n + 31 = 5*f. What is the remainder when 13 is divided by n?
6
Let g(o) = o**3 + o + 3. Let b be g(0). Suppose 2*d - 5 = b. Suppose -d*z = -2*z - 22. Calculate the remainder when z is divided by 3.
2
Suppose -t + 1 = 5. Let m(k) = -33*k**2 + 4*k - 2. Let v be m(t). Calculate the remainder when 4/(-10) + v/(-15) is divided by 19.
17
Let j = -35 + 28. Let c(p) = p**2 - 2*p + 3. Let v be c(4). Let f = v + j. Calculate the remainder when 9 is divided by f.
1
Let w = -11 - -9. Let z(n) = -6*n - 3. Calculate the remainder when 25 is divided by z(w).
7
Let z = 9 - 3. Suppose -w = -z - 12. Suppose 0 = 3*n - w - 15. Calculate the remainder when 21 is divided by n.
10
Let f = -21 + 13. Let x(q) = -q**2 - 12*q - 6. What is the remainder when 77 is divided by x(f)?
25
Let k(a) = -3*a**2 - 3*a - 2. Let i be k(-2). Let b = -4 - i. What is the remainder when b is divided by ((-2)/3)/((-4)/18)?
1
Suppose -3*w - 228 = -5*x, -3*w = -0 + 3. Let q = 64 - x. Calculate the remainder when -2 + (-1 - -2) + 37 is divided by q.
17
Let y(d) be the third derivative of -19*d**4/24 + d**3/3 + d**2. Let i(a) = -2*a + 4. Let r be i(3). What is the remainder when y(r) is divided by 14?
12
Let s(i) = i**3 - 5*i**2 + 5*i. Calculate the remainder when 9 is divided by s(4).
1
Suppose 12 - 44 = 8*q. Let o(l) = 2*l - 2. Let f be o(3). Calculate the remainder when (-39)/q + (-3)/f is divided by 4.
1
Suppose 5*z + 3 - 73 = 0. Calculate the remainder when z is divided by (2 + 0)/((-4)/(-18)).
5
Suppose 4*j - j - 30 = 0. Calculate the remainder when 29 is divided by j.
9
Suppose 2*q - 8 = 0, -2*q = 4*i - q - 68. Let k be 2/4*(0 - 2). Calculate the remainder when (-1)/(((-1)/(-45))/k) is divided by i.
13
Let b(w) = 24*w - 3. What is the remainder when 37 is divided by b(1)?
16
Suppose 6*d + 2*g - 252 = d, -4*d + 224 = -4*g. Calculate the remainder when d is divided by 14.
10
Let l(w) = 12*w + 5. Let c(b) = b + 1. Let j(x) = 3*c(x) - l(x). What is the remainder when j(-6) is divided by 18?
16
What is the remainder when 60 is divided by ((-168)/20)/(2/(-5))?
18
Calculate the remainder when 13*7 + (-2 - (2 + -4)) is divided by 31.
29
Suppose 0 = -2*z - 3*z + 5*x + 660, 3*x + 658 = 5*z. Let o = -11 - -44. Calculate the remainder when z is divided by o.
32
Suppose 0 = -6*i + i. Suppose -g = -0*g + 2*k - 33, 2*g + 5*k - 67 = i. Calculate the remainder when g is divided by 16.
15
Suppose -2*j - 95 = -7*j. Calculate the remainder when 37 is divided by j.
18
Suppose 0 = -0*u + u + c - 69, 3*c - 134 = -2*u. Suppose u = -d + 2*d. What is the remainder when d is divided by 19?
16
Let d = -1 + 1. What is the remainder when 4 - d - (-44 - 3) is divided by 18?
15
Let q be 1 + 8 + 7 + -7. Let i = -6 + q. Suppose -2*o + 120 = 3*o + 2*t, -i*o + t + 83 = 0. What is the remainder when o is divided by 9?
8
Let z = -59 + 100. Calculate the remainder when z is divided by 11.
8
Let n(d) = d + d + 7*d - 2 - d**2. Let r(b) = 3*b**2 - 6*b + 6. What is the remainder when r(4) is divided by n(6)?
14
Let a(f) = -f**2 + 2*f. Let j be a(-2). What is the remainder when 3/(-4) + (-278)/j is divided by 12?
10
Let z(i) = 4*i**2 + 3*i + 2. Suppose m - 7 = v, 2*m - 2*v = 2*v + 12. What is the remainder when m is divided by z(-1)?
2
What is the remainder when (-63)/(-5) + (-4)/(-10) is divided by 5?
3
Suppose -120 = -3*t - 102. What is the remainder when 9 is divided by t?
3
Suppose 0 = 2*b - 36 - 2. Suppose -4*s + 10 = -70. What is the remainder when b is divided by 204/s + (-2)/10?
9
Let f = 8 - 0. Suppose f = x - 2. Let l(j) = j + 2. Calculate the remainder when 34 is divided by l(x).
10
Suppose -2*h + 5 + 19 = 0. Suppose -h = 4*n + 12. Let o = 9 + n. Calculate the remainder when 8 is divided by o.
2
Let o(h) = -2*h**2 + 8*h - 2. Let g be o(3). Suppose 3*b + 5 = 3*a - g, 3*b + 6 = 2*a. What is the remainder when a is divided by 2?
1
Suppose 4*z + 11 - 27 = 0. Suppose -o = -3*v + z*v - 9, -17 = -3*o - v. What is the remainder when o is divided by 3?
1
Suppose 5*p - 13 - 2 = 0. Suppose 0 = p*l, -2*n + 7*n - 3*l = 310. Calculate the remainder when n is divided by 13.
10
Let p(f) = -f**2 + 5*f + 6. Let t be p(6). Calculate the remainder when 89 is divided by 1 - (-22 - t - 0).
20
Suppose 6*v + 3*y - 43 = 2*v, 0 = -5*v - 4*y + 54. Suppose -5*x = -149 - 46. Calculate the remainder when x is divided by v.
9
Let n be 132/(-8)*(-4)/3. Suppose 73 + n = 5*l. What is the remainder when 56 is divided by l?
18
Suppose -m = -4*m + 3*o + 21, -3*m - 2*o + 1 = 0. Calculate the remainder when 33 is divided by 3 - 3 - (-4 - m).
5
Suppose s = -0*s + 2. Suppose 5*z - 5 = 3*n, -2 = -0*z - s*z + 3*n. What is the remainder when 1 is divided by z?
0
Suppose -5*o - 15 = 5, 4*z = 5*o - 164. Let s = z + 75. What is the remainder when s is divided by 10?
9
Let l = 46 + -24. Calculate the remainder when l is divided by 8.
6
Let f(s) = 11*s - 24. Calculate the remainder when 116 is divided by f(5).
23
Suppose -2*x - 3*x = -105. What is the remainder when 60 is divided by x?
18
Let d(t) = -t + 7. What is the remainder when 20 is divided by d(-5)?
8
Suppose -3*m - 17 = -2. Let n = 26 - m. What is the remainder when n is divided by 17?
14
Let i(r) = 2*r - 3 - 2 + 2 + 7. Calculate the remainder when 40 is divided by i(5).
12
Let o = 10 + 5. What is the remainder when (2