c + 5*c - 66 = 0. Calculate the remainder when c is divided by f.
10
Suppose -7*n - 54 = -10*n. Calculate the remainder when n is divided by 10.
8
Suppose -14 = -z - 1. Calculate the remainder when z is divided by 4.
1
Suppose -5 + 21 = 4*w. Calculate the remainder when 11 is divided by w.
3
Suppose -m - w + 58 = m, 5*w + 70 = 2*m. Calculate the remainder when 117 is divided by m.
27
Let v(s) = -s**2 + 17*s - 18. Calculate the remainder when v(15) is divided by 8.
4
Let j(t) = t**2 + 2*t - 4. What is the remainder when j(3) is divided by 7?
4
Let y(j) = j**3 + 4*j**2 - 7*j + 1. Let z = 38 + 3. Calculate the remainder when z is divided by y(-5).
8
Suppose -3*v + 3*j = -57, 0 = -5*v - 0*j - 5*j + 135. Suppose -94*m = -90*m + 3*c - 5, 5*c = -2*m - 15. What is the remainder when v is divided by m?
3
Let x = 51 + -11. Calculate the remainder when 117 is divided by x.
37
Let n(p) = -p**2 + 8*p - 4. Let m(i) = i + 12. Calculate the remainder when m(-6) is divided by n(7).
0
Let o = 8 + 15. Let x(w) = 2*w + 3. Let n be x(-6). Let p = n + o. What is the remainder when p is divided by 8?
6
Let t = 16 - 0. Calculate the remainder when (-105)/(-4) - (-12)/t is divided by 7.
6
Calculate the remainder when 5 is divided by (-24)/(-7) - (-24)/(-56).
2
Let b(w) = -w + 7. Let o(y) = -y**3 - 3*y**2 + y + 1. Let g be o(-2). What is the remainder when (-288)/(-60) - 1/g is divided by b(5)?
1
Suppose -k - 1 = -3. Suppose -66 = -k*n - 12. Let y = -13 + n. What is the remainder when 26 is divided by y?
12
Suppose -w = -4*n + 38, 2*n + 2*w = -w + 26. Suppose 0 = 2*h - 5*g - 43 - 1, 0 = 4*g. Let m = h - -5. What is the remainder when m is divided by n?
7
Let j(d) = d**2 + 13*d + 23. Suppose -6*b + 30 = -b. Calculate the remainder when j(-13) is divided by b.
5
Suppose -15 = 3*p, 3*a - 2*a + 4*p + 15 = 0. Let f(v) = -v - 4. What is the remainder when f(-11) is divided by a?
2
Suppose 8*o - 12 = 5*o. Suppose 3*j - 5*v = 30, 2*v - v = -o*j + 63. What is the remainder when 2/(-3)*-2*j is divided by 11?
9
Suppose v + f = 1, 0 = -v + f - 0 + 5. Calculate the remainder when 11 is divided by v.
2
Suppose 0*t + 5*t = 55. What is the remainder when 21 is divided by t?
10
Let p = -16 + 16. Suppose 0 = 5*h + 2*s - 3*s - 204, p = 3*h - 3*s - 120. What is the remainder when h is divided by 22?
19
Let t(g) = 2*g - 2. Let a(p) = 2*p**2 - 2*p - 2. Let o be a(-2). Suppose 6*d - d = o. Calculate the remainder when t(2) is divided by d.
0
Let r = -12 - -22. Let d be ((-15)/(-6))/(-5)*32. Let l = 20 + d. Calculate the remainder when r is divided by l.
2
Suppose 3*j - 9 - 27 = 0. Let b(q) = q**3 - 6*q**2 + 7*q - 5. What is the remainder when j is divided by b(5)?
2
Suppose 0 = 3*c + 1 - 88. Calculate the remainder when 85 is divided by c.
27
Suppose 2*p - 36 = -2*p - 2*n, 0 = -4*p - n + 36. What is the remainder when 6*((-210)/p)/(-5) is divided by 15?
13
Let f = -217 + 155. Let i = 92 + f. What is the remainder when i is divided by 11?
8
Suppose -3*s = 3*i - 57, -2*s = 3*s - 3*i - 127. What is the remainder when 112 is divided by s?
20
Let g(t) = -t**3 - 6*t**2 + t + 2. Let v be g(-6). What is the remainder when 55 is divided by (-528)/(-36) - v/(-6)?
13
Let s(m) = m**2 + 6*m + 1. Let v be s(-6). Suppose -11 + v = -d. What is the remainder when 28 is divided by d?
8
Suppose -14 = -2*q - 5*h, 4 = 3*q - 0*h - h. Suppose q*x = 14 + 18. What is the remainder when x is divided by 6?
4
Let g(m) = m**3 - 7*m**2 + m + 4. Let u be g(5). Let b = u + 76. Let x(i) = 2*i**2 + i + 2. Calculate the remainder when b is divided by x(2).
11
What is the remainder when ((-12)/(-5))/((-48)/(-800)) is divided by 21?
19
Let i be 2/6 - (-51)/9. Let a(g) = 10*g - 2. Let s be a(i). Suppose 3 - 6 = 3*z, 4*z + s = 3*f. What is the remainder when f is divided by 10?
8
Suppose -5*m + 684 = -2*m. Suppose 4*k + 2*i - m = -0*i, k + 3*i = 57. Let a = -32 + k. Calculate the remainder when a is divided by 9.
7
Suppose -5*u + 44 = -16. Calculate the remainder when 35 is divided by u.
11
Suppose i = -3*r - 11 - 9, -i + 2*r = -5. Let a(c) = c**2 - 6. What is the remainder when a(i) is divided by 5?
4
Let m = -13 + 50. Let w = m + -26. What is the remainder when w is divided by 4?
3
Let r = 88 - 2. Calculate the remainder when r is divided by 31.
24
Let l(d) = -d**3 + 3*d**2 + 3*d - 7. Calculate the remainder when 6 is divided by l(3).
0
Suppose -2*d - 46 = -2*p - 0*d, 5*d = -25. Let f = 164 + -93. What is the remainder when f is divided by p?
17
Suppose a - 6*a - 110 = 0. Calculate the remainder when (-8)/36 - a/18 is divided by 1.
0
Suppose -2*g - 53 = -w, 4*w = 5*g + 165 + 62. What is the remainder when w is divided by 8?
7
Let t(p) = -2*p + 1. Let k be t(1). Let z = k - -3. Suppose 4*d = z*d + 18. Calculate the remainder when 17 is divided by d.
8
Suppose 0 = -2*m - 3*g + 126, 5*m + 5*g + 178 - 483 = 0. What is the remainder when m is divided by 2/(-8) - (-343)/28?
9
Let z be (-18)/(-2)*(-40)/(-12). Let v = 47 - z. What is the remainder when 33 is divided by v?
16
What is the remainder when 25 is divided by 4 + 6 + -5 + 1?
1
Suppose f = z + z - 6, -2*f = -3*z + 17. Calculate the remainder when ((-54)/(-8))/((-6)/f) is divided by 7.
4
Let c(t) = 3*t - 9. Let r be 0 - (2 - 20/(-2)). Let k = 22 - r. What is the remainder when k is divided by c(7)?
10
Calculate the remainder when (-2)/(0 + -2) - -6 is divided by 5.
2
Let p(r) = r + 6. Let x be p(-9). Let g be x + (-3 - -6) - 1. What is the remainder when 30 is divided by (4 - 6) + (-10)/g?
6
Suppose 4*s - 15 = 3*s. Suppose 9*r - 167 = 481. Calculate the remainder when r is divided by s.
12
Suppose -o - 97 = -4*m, -5*m + 2*o + 33 = -4*m. What is the remainder when m is divided by 6?
5
Let i(n) = -9 + 6 + 3 - 11*n**2. Let z be i(-1). Calculate the remainder when 20 is divided by (z/(-2))/((-2)/(-4)).
9
Let r(m) = 3*m**2 + 12*m - 13. Suppose -2*t + 3*o + 12 = -6, 0 = 2*t - 5*o - 14. What is the remainder when r(-6) is divided by t?
11
Suppose 6*q - 30 = q. Let f = 4 - q. Calculate the remainder when 4 is divided by f + (11 - 1)/2.
1
Let h = 6 - -8. What is the remainder when 41 is divided by h?
13
Suppose 0 = 2*c - 6*c + 76. Calculate the remainder when 73 is divided by c.
16
Let p(j) = 2*j**2 + 10*j + 16. What is the remainder when 167 is divided by p(-6)?
27
What is the remainder when 3 - (400/(-22) + 6/33) is divided by 10?
1
Let o = 335 - 313. Suppose -2 - 18 = -4*k. Calculate the remainder when o is divided by k.
2
Suppose q + 5*b - 28 = 0, -6*q = -2*q + b - 55. Calculate the remainder when 36 is divided by q.
10
What is the remainder when ((-12)/(-15) + 1)*5 is divided by 3?
0
Let q(h) = -h**3 + 7*h**2 + 3*h + 4. Let k be q(7). Suppose -4*m + 23 = -k. Calculate the remainder when 23 is divided by m.
11
Let q be 4 + 0 + (0 - 1). Suppose 12 - 21 = -q*m. What is the remainder when 9 is divided by m?
0
Let z = 24 + 15. What is the remainder when z is divided by 10?
9
Let v = -3 + 7. Suppose 4*b - 2*m - 24 = 0, 2*b - 8 = -b - m. What is the remainder when 6*(b/2)/2 is divided by v?
2
Suppose 12 = 3*q + k - 4, 4*q + 4*k - 24 = 0. Suppose q*z + 3*m - 45 = 0, 4*m = -z + 5*m + 1. What is the remainder when 22 is divided by z?
4
Let s = 1 + 4. Suppose 4*r + 30 = s*a, -4*a + 21 = -5*r - 12. What is the remainder when (-1)/r - 102/(-15) is divided by 4?
3
Suppose -a + 32 = 3*a + 4*m, -2*a + 2*m = 0. What is the remainder when 4 is divided by a?
0
Let v(f) = f - 3. Let q be v(3). Suppose -6*g + 14 = 3*k - g, q = -2*k - g + 14. What is the remainder when 31 is divided by k?
7
Suppose -4*j - j = u - 4, -3*j - 3*u + 12 = 0. Suppose 4 = -t - j*t. Let s = 17 + t. Calculate the remainder when 37 is divided by s.
11
Let b(a) = 4*a + 27. What is the remainder when 38 is divided by b(-6)?
2
Suppose -d + 2*g + 19 = 0, g - 2 = -3*d - 4*g. What is the remainder when 35 is divided by d?
8
Suppose 0 = -5*b + 3*h + 6, -4*b = 2*h - 3 + 7. Suppose b = t + 2*t - 6, -c - 3*t + 10 = 0. Calculate the remainder when 14 is divided by c.
2
Let u = -39 - -79. What is the remainder when u is divided by 15?
10
Let m(x) = 4*x**3 + x**2 - x + 2. What is the remainder when m(2) is divided by 20?
16
Calculate the remainder when 57 is divided by 3/(-15) - (51/(-5) - 2).
9
Let n(p) = 11 - 2 + 10*p - 3*p**2 + 1 + 2*p