a. Suppose 3*l + 0*l = 30. What is the remainder when l is divided by a?
4
Let i = 35 + -4. What is the remainder when i is divided by 17?
14
Let x = 225 - 412. Let o = -126 - x. Suppose -5*f - 29 = -109. Calculate the remainder when o is divided by f.
13
Let w be (-7 - -5)*(-2)/2. Let h be 3*w/3 + -2. Let j = h - -3. What is the remainder when j is divided by 2?
1
Suppose 0 = 3*g - 2*g. Suppose 4*u + 4*j - 96 = 0, g = -0*u + 3*u - 4*j - 58. Calculate the remainder when 85 is divided by u.
19
Suppose 0 = 7*u - 186 + 25. What is the remainder when u is divided by 6?
5
Let w = -29 + 47. Suppose 0 = -3*o + m + 32, -2*m - m = -4*o + 46. Calculate the remainder when w is divided by o.
8
Let u = 6 - 5. Let c be -3 + u/(1/4). Suppose -2*k - c = 2*l - 51, 0 = l - 2*k - 16. Calculate the remainder when l is divided by 8.
6
Let d(f) = -f + 13. What is the remainder when 15 is divided by d(4)?
6
Let h(l) = -3*l + 1. Suppose 3*f + 24 = 5*f. Let i = f + 0. Calculate the remainder when i is divided by h(-2).
5
Suppose -5*y + 35 = 2*d, d - 5*y + 50 = 6*d. Let c(n) = 8*n - 2. Calculate the remainder when c(d) is divided by 20.
18
Let o(b) = -54*b + 1. Let p be o(-1). Suppose 0 = -5*x - 0*x + p. Calculate the remainder when x is divided by 6.
5
Suppose -56 = 11*x - 12*x. Calculate the remainder when x is divided by 29.
27
Suppose 47*j = 52*j - 15. What is the remainder when 28 is divided by j?
1
Let b(z) be the second derivative of -z**3 - z. Let h be b(-3). What is the remainder when 3/h*86*3 is divided by 11?
10
Let g = -3 - -3. Calculate the remainder when 16 is divided by 6/3 + g + 7.
7
Let s(c) = -c**2 + 7*c + 1. Let u be (-1)/(-5) + 29/5. Let x(h) = h**3 + 4*h**2 + h - 3. What is the remainder when s(u) is divided by x(-3)?
1
Calculate the remainder when 73 is divided by (-156)/(-8) + (-1 - (-4)/8).
16
Suppose 0 = 2*w + 4*t - 233 - 53, 5*w + 5*t - 690 = 0. Calculate the remainder when w is divided by 17.
14
Let n(h) = 18*h**2 + 1. Calculate the remainder when 36 is divided by n(-1).
17
Suppose 4*s = 5*s - 17. Calculate the remainder when 63 is divided by s.
12
Let d(r) = 6*r**2 - 7*r - 10. Calculate the remainder when d(-5) is divided by 36.
31
Suppose -65 = -3*z + 2*r, 4*r - 95 = -5*z + 6. Suppose 3*j + 2*f - 4*f - 35 = 0, -5*f = -5*j + 60. What is the remainder when z is divided by j?
10
Suppose -2*j + 5*j = 57. What is the remainder when j is divided by (-4)/(-14) + 1836/189?
9
Let d = 29 - 7. Suppose 28 = b - 3*b. Let n = b + 26. Calculate the remainder when d is divided by n.
10
Let n(b) = b**3 + 8*b**2 + 7*b + 3. Calculate the remainder when 10 is divided by n(-7).
1
Suppose 1 = -q + 5. Suppose -3*u = q*m - 0*m - 97, 3*m = -5*u + 147. Calculate the remainder when u is divided by 10.
7
Let m(k) = -2 - 2*k - 3*k + 4 + 2*k. Let c(y) = 2*y + 3. Calculate the remainder when c(6) is divided by m(-2).
7
What is the remainder when (8/(-56))/1 - 638/(-7) is divided by 47?
44
Let c be ((-3)/(-5))/(4/20). Suppose c*k - 5*r = 56, 3*r = 4*k - 0*r - 71. What is the remainder when 3 + 3/(6/94) is divided by k?
16
Let s(w) = 12*w + 15. What is the remainder when 21 is divided by s(0)?
6
Calculate the remainder when 86 is divided by ((-6)/(-4))/((-340)/176 + 2).
20
Let g(u) = -13*u**3 + u. Suppose 0 = x - 5*c - 19, -2*x + 0*c - 18 = 4*c. Calculate the remainder when 35 is divided by g(x).
11
Calculate the remainder when (5/3)/(1/39) is divided by 11.
10
Let y(j) = -3*j + 4. Let l(p) = p**2 - p - 6. Suppose -5*s + 3*s + 8 = 2*v, -4*v - 5*s + 14 = 0. What is the remainder when l(v) is divided by y(-3)?
11
Suppose a - 4*a = -36. What is the remainder when a is divided by (-1 - 0)*1 + 8?
5
Let p(x) = -x**2 - x + 5. Let h be p(0). Suppose 0 = 5*g - 2*l - 69, g - 4*g - h*l + 29 = 0. Calculate the remainder when g is divided by 8.
5
Let s be 0 - (4 - 3) - -6. Let c(p) = -7*p - 6. Let u be c(-6). Suppose 2*x = s*x - u. Calculate the remainder when 22 is divided by x.
10
Let s(w) = -w**3 + 15*w**2 - 12*w - 15. Calculate the remainder when 38 is divided by s(14).
12
Let q(i) = 4*i**2 - 2. Let c be q(3). Suppose 78 = 4*s - c. Calculate the remainder when s is divided by 10.
8
Suppose -5 + 17 = -2*i - 2*s, 11 = -2*i - s. Let d(r) = r**3 + 6*r**2 + 5*r + 5. What is the remainder when d(i) is divided by 2?
1
Calculate the remainder when 93 is divided by (-3)/(-2*(-12)/(-128)).
13
Let t = -1 - -11. What is the remainder when t is divided by 6?
4
Let b = -113 + 81. Let s = -9 - b. Calculate the remainder when s is divided by 12.
11
What is the remainder when 20 is divided by ((-2)/(-3))/(2/33)?
9
Suppose 26*b + 20 = 30*b. Calculate the remainder when 22 is divided by b.
2
Let c be -1 + 4 - (-10)/2. Let a be ((-18)/c)/((-3)/8). Calculate the remainder when 196/a + 1/3 is divided by 12.
9
Let d = 122 + 33. What is the remainder when d is divided by 40?
35
Let z = 14 - 11. Calculate the remainder when 8 is divided by z.
2
Suppose v - x - 20 = 4*x, 3*x = -5*v + 44. Calculate the remainder when 28 is divided by v.
8
Let l(n) = 13 + n**2 + 12 - 8 - 6*n. Let w(d) = -d**2 - 7*d + 3. What is the remainder when l(7) is divided by w(-6)?
6
Suppose 2*l = -3*b + 15, -2*l - 5*b = -7*l + 100. Calculate the remainder when l is divided by 9.
6
Let j = 4 - -5. What is the remainder when -2 - (-3*7 - -3) is divided by j?
7
Let n be ((-6)/(-4))/(3/8). Suppose -2*z = -n - 6. Suppose 3*o - z = 4. Calculate the remainder when o is divided by 2.
1
Let k = -20 - -59. Calculate the remainder when k is divided by 20.
19
Calculate the remainder when 8/28 + (-120)/28 - -87 is divided by 28.
27
Let h = 3 + -1. What is the remainder when 3 is divided by h?
1
Suppose 158 = 3*p - p. Calculate the remainder when p is divided by 10.
9
Let l = -1 - 4. Let a = 1 - l. Calculate the remainder when a is divided by 3.
0
Let d = 18 - 9. Suppose 4*j - d = -3*f, 7*j + 2 = 4*j - 4*f. Calculate the remainder when 17 is divided by j.
5
Let v(w) = -6*w**2 + 2*w - 2. Let x be v(2). Let n(b) = b**2 + 2*b - 1. Let l be n(-7). Let p = x + l. What is the remainder when 35 is divided by p?
11
Suppose 17*g = -161 + 1334. Calculate the remainder when g is divided by 10.
9
Let g(d) = d**3 + 3*d**2 + 2*d + 1. Suppose s - 5*n - 29 = -n, -4*s = 2*n - 26. Let u be (3/s - 1)*3. What is the remainder when 1 is divided by g(u)?
0
Let q be (-1)/(-1)*0/1. Suppose -j + n + 9 = q, n = -4*j + 6*n + 41. Let u = j + 9. Calculate the remainder when 37 is divided by u.
11
Suppose -3*s = -21 - 3. Calculate the remainder when 37 is divided by s.
5
Suppose 5*h = 10*h - 15. Let s = 24 - 17. What is the remainder when s is divided by h?
1
Suppose -34 = -4*f + 3*w, 5*f - 4 = -w + 48. Calculate the remainder when f is divided by 7.
3
Suppose 0 = 10*l - 170 - 60. Calculate the remainder when l is divided by 4.
3
Let l = 6 - -2. Calculate the remainder when 24 is divided by 0 + (1 - l*-1).
6
Suppose -11*l = -13*l + 62. Calculate the remainder when l is divided by 18.
13
Suppose r + c - 4 = 0, 9 = r + 5*c + 25. What is the remainder when 24 is divided by r?
6
Suppose 0 = 6*f - 6 - 18. Suppose 5 = 5*x - 10, -f*x + 57 = 5*q. Calculate the remainder when 26 is divided by q.
8
What is the remainder when 7 is divided by -3 - (3 - 4)*8?
2
Let x be 47 + (1 - 3) + 4. Let z = 77 - x. Calculate the remainder when z is divided by 15.
13
Suppose 0*s + 5*s = 90. Calculate the remainder when s is divided by 8.
2
Let t(u) = -2*u**3 - 6 + u**3 + 4*u - 5*u**2 + 12*u**2. What is the remainder when t(6) is divided by 14?
12
Let y = 5 + -1. Suppose -t + 3*a + y = 0, t - 13 - 6 = -2*a. Calculate the remainder when 38 is divided by t.
12
Suppose -31*t = -36*t + 160. Calculate the remainder when t is divided by 12.
8
Suppose 0*h + h + 28 = 2*v, 0 = 4*h + 16. What is the remainder when 35 is divided by v?
11
Let f = 1 - -3. Calculate the remainder when (-2)/f - (-172)/8 is divided by 6.
3
Let u be 36/28 - (-2)/(-7). Let k = u + 1. Suppose k*f - 1 = f. What is the remainder when 2 is divided by f?
0
Suppose -2*i = -62 + 18. What is the remainder when 65 is divided by i?
21
Let z(a) = 3*a + 1. Let d be -1 - -2 - (2 + 0). Let i be z(d). What is the remainder when 3 is divided by 6/9*(5 + i)?
1
Let u(m) = -3*m**2 + 3*m**2 + 3*m**2. Let w be u(1). Suppose -4*v = -w*v - 22. Calculate th