ppose -5*u - 1 = -11, b = 2*u + 56. What is the remainder when b is divided by 31?
29
Suppose -3*n - 3*z + 42 = 0, 2*z + 13 = 2*n - z. What is the remainder when 1*12 + (n - 11) is divided by 5/15 + 28/6?
2
Suppose -4*j - 3 = -3*j. Let z be (0/j - 1) + 3. Suppose -z*u + 0 + 2 = 0. What is the remainder when 2 is divided by u?
0
Let w(t) = 13*t - 5. Let u(j) = 7*j - 3. Let g(d) = 7*u(d) - 4*w(d). What is the remainder when g(-1) is divided by 1?
0
Let s be 4/(-14) + (-172)/(-14). Suppose -p - 4 = -s. Suppose 45 = 2*l - z, 0*z - z = -5*l + 111. What is the remainder when l is divided by p?
6
Let k(p) = p + 35. Calculate the remainder when -3 - -3 - (-25 - 1) is divided by k(-26).
8
Let n(y) = -9*y. Suppose 2*v - 3*w - 14 = -8*w, 4*v + 5*w - 8 = 0. Calculate the remainder when 80 is divided by n(v).
26
Let t(v) = -v**2 - v + 1. Let c(l) = -5*l**2 - l + 10. Let s(z) = -c(z) + 4*t(z). Suppose 52 = y - 13. Calculate the remainder when y is divided by s(-4).
21
Let f(d) = -23*d - 3. Calculate the remainder when 56 is divided by f(-1).
16
Suppose x + 12 = 52. Let a = x - 12. Calculate the remainder when 109 is divided by a.
25
Let m be -3 - 4*1/(-2). What is the remainder when 33 is divided by 21 - (m + 2 + 2)?
15
Suppose -34 = -5*w + 4*a + 9, -3*w - 2*a + 17 = 0. Calculate the remainder when w is divided by 3.
1
Let t = 159 + -147. Let o(h) = -h**3 + 6*h**2 + 7*h - 7. What is the remainder when o(6) is divided by t?
11
Calculate the remainder when 60 is divided by -4 - (4 - (27 + -3)).
12
Suppose 0 = -3*r + r - 2*i + 2, 0 = -r - 5*i - 3. Let j = r + -68. Let q = j - -98. What is the remainder when q is divided by 11?
10
Suppose -48*g = -58*g + 2320. What is the remainder when g is divided by 39?
37
Suppose -24 = -14*n + 11*n. Suppose -5*k = -k - 20. What is the remainder when n is divided by k?
3
Let c = 52 + -26. Let i = -4 + 7. Suppose -i*m + 10 = -17. What is the remainder when c is divided by m?
8
Let f = 22 + -4. Suppose 0 = -w - 4*w + 50. Let c(g) = 2*g + 14. Calculate the remainder when c(w) is divided by f.
16
Let t = -107 + 150. What is the remainder when t is divided by 23?
20
Suppose -3 = -d + p + p, 2*d - 3*p = 8. Calculate the remainder when ((-18)/(-8))/((-3)/(-16)) is divided by d.
5
Suppose 2*a + 4 = 3*a. Suppose -2*f = 3*m + 2*m - 32, 4*m - a*f = 48. What is the remainder when m is divided by 3?
2
Suppose 6 = 6*t - t - 3*o, -2*o + 9 = t. Suppose 6*x - 33 = t*x. What is the remainder when 40 is divided by x?
7
Calculate the remainder when (-472)/(-10) + (-2)/10 is divided by (-1)/2*(1 + -25).
11
Suppose m - 37 = -2*s + s, 3*s - 107 = -4*m. Calculate the remainder when 119 is divided by s.
37
Let m(d) = d**2 + 2*d - 2. Let f be m(-4). Suppose 0 = -h - 2*h - 9. Calculate the remainder when 1 + (-18)/(f/h) is divided by 3.
1
Let n = -21 - -30. Let u(a) = a**2 - 11*a. Let c be u(n). Calculate the remainder when 25 is divided by 40/3 + 6/c.
12
Let r be (9/15)/(1/5). Suppose r*k = -k + 12. Let s(c) = c**2 + 2*c - 4. Calculate the remainder when s(-4) is divided by k.
1
Let s(k) = k - 2. Let h be s(2). Let p be 8 + 3 + -2 + h. Let n = -6 + p. What is the remainder when 8 is divided by n?
2
Let x(d) = -5*d. Let b(a) = -a + 3. Let v be b(5). Let p(s) = -s**2 - 10*s + 3. Calculate the remainder when p(-5) is divided by x(v).
8
Let v(j) = -21*j**3 + j**2. Calculate the remainder when v(-1) is divided by 8.
6
Let i = 0 + 2. Suppose 0 = -o - 5*n + 63, -i*o + 4*o - 136 = -5*n. Let b = -30 + o. What is the remainder when b is divided by 15?
13
Suppose -5*n = f - 60, -5*f + 70 = 5*n - 2*f. What is the remainder when 21 is divided by n?
10
Suppose s = 45 - 12. Suppose j - 7 + s = 0. Let p = 42 + j. What is the remainder when 46 is divided by p?
14
Let z(m) = 5*m + 5. Let q = -12 + 17. Suppose q*x - 2*x = 27. Calculate the remainder when z(x) is divided by 13.
11
Let h = 89 + -58. Let t = 5 - -11. Calculate the remainder when h is divided by t.
15
Suppose -62 = -3*k - 2*i + 16, 0 = 3*i. Let d(m) = 3*m**2 + 2*m + 1. Suppose 2*a + a = 3*s + 21, 0 = 4*a - 20. What is the remainder when k is divided by d(s)?
8
Let y(p) = -p**3 - 6*p**2 + p + 8. Let t be y(-6). Suppose 2*n = -2*a + a + 128, t*n - 4*a - 118 = 0. What is the remainder when n is divided by 16?
15
Let r be 126/30 + (-1)/5. Suppose 74 = r*u - 214. Suppose 3*d = -3*z + 93, -2*d - 2*z = 2*z - u. Calculate the remainder when d is divided by 9.
8
Calculate the remainder when 74 is divided by (-115)/(-5) + (-16)/4.
17
Let d(k) = -2*k - 6. Let v be d(-4). Suppose v*a - 3*a - z + 11 = 0, 0 = 5*a - 5*z - 75. Suppose -a = -m - 2. Calculate the remainder when 20 is divided by m.
9
Suppose -14 = -8*f + 98. Suppose 4*t = -u + 21, 2*u + 2*u = -2*t + 14. What is the remainder when f is divided by t?
4
Let i(n) = -4*n - 3. What is the remainder when 82 is divided by i(-6)?
19
What is the remainder when 60/3 + 0/5 is divided by 8?
4
Let m(y) = y**3 + 9*y**2 - 3*y - 8. Let k be m(-9). Suppose 0 = -r + k + 4. What is the remainder when r is divided by 13?
10
Let t = 2 - 0. What is the remainder when (4/6)/((-2)/(-6)) is divided by t?
0
Let m be ((-16)/(-6))/((-16)/(-24)). Suppose -5*j + b = -b - 104, m*j - 74 = -3*b. Calculate the remainder when j is divided by 11.
9
Let n = -4 + 8. Suppose 2*h = 8, -s = -n*h - 9 - 6. Suppose 3*d - 18 = 15. Calculate the remainder when s is divided by d.
9
Let j(y) = y**2 - 11*y + 6. Let v be j(6). Let f = v + 35. Calculate the remainder when 32 is divided by f.
10
Let q(l) = 1 + 25*l**2 + l**2 - 2. Let i be (-5)/(-4) - (-1)/(-4). Calculate the remainder when q(i) is divided by 9.
7
Suppose -3*d + 21 + 21 = 0. Calculate the remainder when 55 is divided by d.
13
Let c(u) = -4*u + 41. What is the remainder when c(0) is divided by 14?
13
Let u = -71 + 118. What is the remainder when u is divided by 17?
13
Let z = -5 + 11. Let n(d) = -d - 3. What is the remainder when n(-13) is divided by z?
4
Let u(t) = -t**3 - 4*t**2 - 3*t - 3. What is the remainder when 27 - (-1 + 1 + 1) is divided by u(-4)?
8
Let v(s) = 37*s**2 + 1. Let g be v(-1). Let q = 63 - g. What is the remainder when ((-16)/(-20))/(2/q) is divided by 4?
2
Let t = 20 + -49. Let c = 58 + t. Let m(j) = j**2 - j + 3. What is the remainder when c is divided by m(4)?
14
Let a = 37 - -13. What is the remainder when a is divided by 26?
24
Let n = -13 + 7. Let c(a) = -10*a + 1. What is the remainder when c(n) is divided by 16?
13
Let w = -118 + 129. What is the remainder when 26 is divided by w?
4
Let l(b) = -b + 16. Let c be l(9). Let x(y) = y**2 - 6*y + 2. Calculate the remainder when x(c) is divided by 3.
0
Let k(h) = -h**2 + 8*h + 9. Let x(m) = -3*m**2 + 25*m + 27. Suppose 4*w = 3*w - 8. Let g(t) = w*k(t) + 3*x(t). What is the remainder when g(10) is divided by 7?
5
Suppose -5*u - 14 = -2*t, -6*t - 4*u + 2 = -t. Let q = -4 + 4. Let n = t + q. Calculate the remainder when n is divided by 1.
0
Calculate the remainder when -2*(3 - 786/12) is divided by 42.
41
Let j(f) = -f**2 + 5*f - 4. Let y be j(4). Let i(l) = y*l**2 + l + 6*l - l**2. What is the remainder when i(4) is divided by 7?
5
Suppose -5*x + 0 + 5 = 0. Calculate the remainder when 0 + 20 + 0/(-2) is divided by (-10)/20*(-23 + x).
9
Suppose 5*v = -3*o + 2*o + 3, -3*o = -3*v - 9. Suppose h - 25 = 3*r, h + 2*h - 2*r - 47 = v. Calculate the remainder when 36 is divided by h.
10
Let l = -11 + 3. Let u = l + 12. Suppose -2*i = 5*f - 4, -u*i + 0*f + 24 = 2*f. Calculate the remainder when 12 is divided by i.
5
Suppose -n + 87 = n - x, 2*x = 5*n - 215. Calculate the remainder when n is divided by 22.
19
Suppose -5*z + 13 = 5*k - 142, 3*z - 2*k = 73. What is the remainder when 105 is divided by z?
24
Suppose 8 = -2*x, x + x + 24 = 2*h. What is the remainder when ((-57)/(-2))/(6/h) is divided by 6/(-4)*(-52)/6?
12
Let o(y) = -y**3 + 9*y**2. Let j be o(9). Suppose -5*d + 170 = -j*d. Let t(q) = -q**3 + 4*q**2 + 2*q + 3. Calculate the remainder when d is divided by t(3).
16
Let i(y) = -32*y**3 + y + 1. Let m be i(-1). Suppose 2*r - m = 5*g, 7*g + 3*r = 2*g - 27. Calculate the remainder when (-1 + (-8)/g)*33 is divided by 6.
5
Let r(k) = k**3 + 13*k**2 + 15*k + 5. What is the remainder when r(-11) is divided by 17?
14
Let v(p) = -p**3 - 2*p + 4. Let z be v(4). Let s be (-62)/12 + 