 + h. Let l(n) = -n + 8. Calculate the remainder when w is divided by l(4).
1
Suppose -3*k + 82 = -z, -k + 25 = 2*z - 7. What is the remainder when k is divided by 11?
6
Let b = -27 - -71. What is the remainder when 131 is divided by b?
43
Let m be -12*(1 + 9/(-6)). Suppose -h = -4*h + m. Let l = -2 + 7. What is the remainder when l is divided by h?
1
Let x(q) = -6*q - 1. Let r(c) = c**3 + 5*c**2 - 14*c - 3. Let m be r(-7). What is the remainder when 32 is divided by x(m)?
15
Suppose 3*w - 7 = 11. Suppose -3*f - w = -3*t - 0, -3*t + 13 = 4*f. What is the remainder when t is divided by 2?
1
Suppose 10*q + 30 - 200 = 0. What is the remainder when q is divided by 3?
2
Let o(p) = p**2 + 8*p. Let t be o(-8). Suppose k - 3*k + 180 = t. Calculate the remainder when 35 is divided by ((-2)/5)/((-3)/k).
11
Suppose -5*r + 2*a + 107 = 0, 88 = -0*r + 4*r - 4*a. What is the remainder when r is divided by 6?
3
Suppose 3*h + 112 = h. Let v = -35 - h. Suppose -2*z - 3*z = -55. What is the remainder when v is divided by z?
10
Let a = -231 - -356. Suppose 4*w - a = 5*l, 3*l - 85 = w - 5*w. What is the remainder when w is divided by (-80)/(-8) - (-1 + 2)?
7
Let m(a) = -7*a - 2. What is the remainder when m(-4) is divided by 14?
12
Suppose -4*k + 189 = -k. Suppose 11 = -4*f + k. Let s(j) = 2*j**3 - 3*j**2 - 3. Calculate the remainder when s(3) is divided by f.
11
Let u = -33 + 83. Suppose -6*a + a + u = 0. Suppose -19 - 38 = -3*j. What is the remainder when j is divided by a?
9
Suppose 4*r = r + 18. Let w be 39/(-6) + 1/2. What is the remainder when 17 is divided by (0 - w)/(r/9)?
8
Suppose -7*i + 3*i = 8. What is the remainder when (0 - -17)*(-1 - i) is divided by 31/(-11) - (-2)/(-11) - -12?
8
Let r(q) = -18*q**3 + q**2 + 2*q + 1. Let i = -8 + 12. Suppose -i*s - 3 = -s. What is the remainder when 52 is divided by r(s)?
16
Let h(t) = t**2 - 8*t + 13. Calculate the remainder when 43 is divided by h(9).
21
Suppose -15 = -4*l + 1. Suppose -z = 4*v - 6*v + 34, 62 = l*v - 5*z. Calculate the remainder when v is divided by 5.
3
Let z(x) = 22*x + 6. Let b be z(3). Suppose -r = 3*r - b. Calculate the remainder when r is divided by 11.
7
Let h(o) = 41*o**3 - o. Let y(k) = 9*k - 7 - k**2 + 4*k - 4*k. Let v be y(8). What is the remainder when h(v) is divided by 14?
12
Suppose -3*s + 4*q = 43, 5*s + q + 36 + 5 = 0. Suppose 0 = -5*j + 15, -25 = -5*p - j - 4*j. Calculate the remainder when (0 - -1 - p)*s is divided by 4.
1
Suppose 0 = -5*f + 227 + 73. Calculate the remainder when 238 is divided by f.
58
Let c = 57 + -30. Let i be ((-90)/40)/((-3)/4). Suppose -c = -i*l + 6. Calculate the remainder when 32 is divided by l.
10
Let q(z) = -z**3 + 7*z**2 - 7*z - 2. Suppose 0 = -j - 0 + 16. Suppose 0 = 5*h + 2*v + v - 137, 0 = -4*v + j. What is the remainder when h is divided by q(5)?
12
Suppose 4*f + 4*k = 20, 4 = f - k + 7. Suppose -17*h + 13*h + 4 = 0. Calculate the remainder when h is divided by f.
0
What is the remainder when (-752)/(-12) + (-2)/(-6) is divided by 18?
9
Suppose 3*j + 1 = 16. Suppose -5*a + 2*o - 237 = -67, 0 = -3*o. Let b = -21 - a. Calculate the remainder when b is divided by j.
3
Let k(j) = j**3 + 4*j**2 - 8*j - 15. What is the remainder when 73 is divided by k(-4)?
5
Calculate the remainder when 63 is divided by (-2)/(-4) + (-559)/(-26).
19
Let o be 3/9*0 + -2. Suppose -2*g + 54 = g. What is the remainder when g is divided by o/(-7) + (-136)/(-14)?
8
Let d(a) = 8*a - 1. Suppose 0*o = 5*o - 30. Suppose -3*y + 2*y = 3*b - 12, -2*b + o = 0. What is the remainder when d(y) is divided by 8?
7
Suppose 4*l = -2*z + 6*l + 102, 0 = 3*z + 2*l - 133. Let n(k) = -k**3 - 2*k**2 - 6*k**2 - 3*k + 3*k**2 + 1. What is the remainder when z is divided by n(-5)?
15
Let d be (2/(-2)*-3)/1. Let y be d/3 - (2 - -1). Let g = 2 - y. Calculate the remainder when 6 is divided by g.
2
What is the remainder when 133 is divided by 6/10 - 84/(-10)?
7
Suppose 6*j = 3*j + 87. Suppose 2*u - s = u + 3, -u = -2*s - 8. Let x(n) = -2*n**3 - n**2 + 2*n + 2. Calculate the remainder when j is divided by x(u).
9
Suppose 0 = 3*h + 47 - 77. Calculate the remainder when 26 is divided by h.
6
What is the remainder when (-74)/(-6) - (-2)/(-6) is divided by 4?
0
Let i(r) = -r**3 - 3*r**2 - 2*r - 1. Suppose -g + 42 = 2*c, -5*g = 6*c - c - 110. Let u = -7 + c. What is the remainder when u is divided by i(-3)?
3
Let w = 4 + 0. Suppose 0 = 3*l - 4*i - 27, -2*l + w*i = -0*l - 22. Suppose -l = 7*d - 2*d + 5*f, 4*d - 2*f = 20. Calculate the remainder when 4 is divided by d.
1
Let i(c) = c**2 + 3*c + 18. What is the remainder when i(-8) is divided by (-44)/(-3) - 2/(-6)?
13
Let z = 34 - 19. Suppose 79 + 56 = 5*y. Calculate the remainder when y is divided by z.
12
Suppose -66 = -2*t - 0*t. Suppose -2*w - w + t = 0. Suppose 3*m + 68 = 6*m + 2*k, -96 = -4*m - 4*k. Calculate the remainder when m is divided by w.
9
Let u = -7 - -9. Suppose b - u = 39. What is the remainder when b is divided by 21?
20
Suppose -3*b = 6*b - 405. Calculate the remainder when b is divided by 8.
5
Suppose 3*w + 5 = 2. Suppose j - 1 = -0*j. What is the remainder when j is divided by w/(-2)*(4 + -2)?
0
Let s be 5*(24/10 + -2). What is the remainder when (-222)/(-9) + s/(-3) is divided by 13?
11
Suppose v + 9 = 19. Calculate the remainder when 16 is divided by v.
6
Let t(b) = -b**2 + 10*b - 7. Suppose -4*z + 0*q + 45 = 3*q, 27 = 4*z - 3*q. Suppose 7*a - 8 = 3*a. What is the remainder when a is divided by t(z)?
0
Let z(d) = -d**3 + 10*d**2 + 12*d - 9. Let h be z(12). Let x = -87 - h. What is the remainder when x is divided by 17?
15
Let k be -122 - (1 - (3 - 1)). What is the remainder when (-3)/12 - k/4 is divided by 16?
14
Let q = 254 + -245. Suppose 16 = t + 2*s - 19, -s - 45 = -2*t. What is the remainder when t is divided by q?
7
Let x = -28 - -116. What is the remainder when x is divided by 15?
13
Suppose 4*d + d - 25 = 0. What is the remainder when 2/9 + (-338)/(-18) is divided by d?
4
Let b(s) = -s**3 + 2*s**2 + 3. Calculate the remainder when 17 is divided by b(0).
2
Suppose -u - 5*i + 1 = -3*i, u + 3*i + 2 = 0. Calculate the remainder when u is divided by (-21)/14 - 9/(-2).
1
Let b be 2/(-8) + (-36)/(-16). Suppose -48 = -3*c + b*c. Calculate the remainder when c is divided by 17.
14
Let y = 57 + -31. What is the remainder when 46 is divided by y?
20
Let f = -1 - -7. Suppose 3*t - 45 + f = 0. What is the remainder when (-74)/(2 + 16/(-4)) is divided by t?
11
Calculate the remainder when 17 is divided by ((-3)/9)/(1/(-12)).
1
Let x = -8 - -62. Let o = 75 - x. Calculate the remainder when 40 is divided by o.
19
What is the remainder when 1/(-1) - (5 + -3 - 97) is divided by 24?
22
Let y = 3 + 7. Let c(k) be the first derivative of k**4/4 - 4*k**3/3 + k**2/2 + 1. Calculate the remainder when y is divided by c(4).
2
Let r(l) = 0 - 1 - 2*l + 2*l - 3*l. Calculate the remainder when 21 is divided by r(-4).
10
Let s = 132 + -92. What is the remainder when s is divided by 14?
12
Let d(t) = -3*t - 4 - 3*t + 1. Calculate the remainder when d(-4) is divided by (-184)/(-16) + (-1)/2.
10
Suppose -4*j + 2*r - 46 = 0, 3*j + 5*r + 88 - 21 = 0. Let x = 3 - j. Calculate the remainder when 32 is divided by x.
15
Let y(b) = 26*b**2 + 1. What is the remainder when y(-1) is divided by (-3)/2*20/(-3)?
7
Let a(x) = x**2 + 9*x + 10. Let o be a(-8). Calculate the remainder when 7 is divided by ((-3)/(-2))/(o/4).
1
Suppose 0 = -y - 5*n + 47, 3*y = -2*y + 5*n + 85. Let d(v) = -v**2 + 5*v + 2. Let r be d(7). Let q = r - -20. Calculate the remainder when y is divided by q.
6
Let w = -32 + 48. Calculate the remainder when w is divided by 9.
7
Suppose 77 = 7*p - 168. Calculate the remainder when 69 is divided by p.
34
Let q = 37 - 0. Suppose -2*x + 48 = -4*s, -4*s = -x + s + 21. Let k = q - x. Calculate the remainder when k is divided by 6.
5
Let a(j) = j + 37. Let c be a(0). Let z = 8 + -4. Suppose -c - 35 = -z*w. Calculate the remainder when 53 is divided by w.
17
Suppose 2*p - 68 = 6*p. Let f = 23 - p. What is the remainder when f is divided by 14?
12
Let r = -1 + 2. Let k be (-1 - -2) + 2/r. Suppose k*q - 94 = -1. Calculate the remainder when q is divided by 11.
9
What is the remainder when 246 is divided by 59 + ((-4)/(-8))/(4/24)?
60
Let a = 23 - 18. What is t