4. Suppose 3*x + 25 = v - 40, 2*v - 134 = 4*x. Suppose 4*z - v = -11. Calculate the remainder when l(3) is divided by z.
13
Suppose 0*z - 4*z + 24 = 0. Let j = 8 - z. Calculate the remainder when 29 is divided by 27/(j + 1) - -1.
9
Let q be 2/9 + 68/18. Let n(t) = -4*t**3 + 4*t**2 + 4*t + 2. Calculate the remainder when n(-2) is divided by ((-11)/(-2))/(1/q).
20
Let a be (-2)/(-7) + (-66)/(-14). Calculate the remainder when a/((-45)/6)*-30 is divided by 11.
9
Let o(y) = y**3 + 4*y**2 - y - 2. Let l be o(-4). Let u = l + 2. Suppose u*c - 30 = -10. Calculate the remainder when 13 is divided by c.
3
Let x(r) = -2*r + 3*r + 3 + 2*r**2 - 4*r. Suppose -3 - 1 = -q. What is the remainder when x(q) is divided by 6?
5
Let b(z) = -4*z - 32. What is the remainder when 76 is divided by b(-13)?
16
Let s be -1 + 0 + 0 + 6. Suppose -4*n = 5*v - 11, -4*n = 2*v - s*n - 7. What is the remainder when 3 is divided by v?
0
Calculate the remainder when 50 is divided by 1/(-6) + (-474)/(-36).
11
Suppose -2*v - 2*r = -84, -3*v + 78 = 5*r - 58. What is the remainder when 182 is divided by v?
34
Let m(z) = -7*z**3 - 5. What is the remainder when m(-2) is divided by 9?
6
Let w be 66/15 - (-2)/(-5). Suppose -w*q + 58 = -102. Suppose 4*b = 7*b - 4*x - q, 0 = -b - 2*x. What is the remainder when 31 is divided by b?
7
Suppose -2*i - 219 = -243. What is the remainder when 94 is divided by i?
10
Let w(b) = b**2 + b - 3. Let t be w(-3). Let n(v) = -v**2 + 7*v. Calculate the remainder when 46 is divided by n(t).
10
Suppose 5*q = -k + 37, -5*k + 245 = 4*q + 60. What is the remainder when k is divided by (-3)/(-15) + 49/5?
7
Let p = 141 - 133. What is the remainder when 39 is divided by p?
7
Suppose 0 = p + 4*p - 30. Suppose -p*u = -2*u. Suppose 3*i + 3*q - 42 = u, -i + 3*q = 3*i - 21. What is the remainder when 25 is divided by i?
7
Suppose -49*v - 46 = -51*v. What is the remainder when 65 is divided by v?
19
Let v be 4/14 + (-208)/(-56). Suppose -v*l + 9*l - 45 = 0. Calculate the remainder when 15 is divided by l.
6
Let w be (0/(-1))/(6/(-6)). Suppose 3*s + 1 - 19 = w. What is the remainder when s is divided by 4?
2
Let i = -12 + 14. Suppose -2*m = -m - i. Calculate the remainder when m is divided by 2.
0
Let t(g) = 9*g + 2. Suppose 2 + 13 = 5*r. What is the remainder when t(r) is divided by 8?
5
Let x be (3/9)/(2/156). Let r = 36 - x. Let n = 7 + -1. What is the remainder when r is divided by n?
4
Let g be 4/(-14) - (-152)/(-7). Suppose -2*o + 3*m = 17, 3*o - 10*m = -7*m - 21. Calculate the remainder when g/o*2/1 is divided by 6.
5
Let g(r) = 33*r**2 - 1. Let s be g(1). Suppose -q + s = q. Calculate the remainder when q is divided by 6.
4
Suppose -7*o + 25 = -66. Calculate the remainder when 62 is divided by o.
10
Let h = -72 - -90. Calculate the remainder when h is divided by 7.
4
Suppose -3*k - 5*p + 307 = 0, 4*p + 58 = -2*k + 260. Calculate the remainder when k is divided by 28.
25
Suppose 4*a - j = -a + 78, 0 = -3*a + 3*j + 54. What is the remainder when 50 is divided by a?
5
Let b be 2 - (2 - (5 + -1)). Suppose b*r + 8 = -0. What is the remainder when (r - -12) + (-1 - -1) is divided by 6?
4
What is the remainder when 64 is divided by ((-4)/6)/((-4)/102 - 0)?
13
Suppose 0 = -2*x - 3*x + 20. Calculate the remainder when 43 is divided by x.
3
Suppose -9 = -4*n - 1. Suppose -n*c = -5*c. Suppose c = y + h - 13, -3*y + 0 = -3*h - 15. What is the remainder when 25 is divided by y?
7
Suppose 91 = 4*f - i + 27, -3*i = -4*f + 64. Let z = f - 11. Calculate the remainder when 22 is divided by z.
2
Let o be -2 + 1*(-4 - -10). Suppose o*r = 58 + 22. What is the remainder when 77 is divided by r?
17
Let z = -1 + -1. Let v(u) = 2*u**2 + 4*u + 2. Calculate the remainder when v(z) is divided by 2.
0
Let u = -22 + 27. Suppose -u*h + 76 = -h. Suppose -3 = p - 40. What is the remainder when p is divided by h?
18
Let i = -96 - -121. Calculate the remainder when 92 is divided by i.
17
Suppose -2*c - 4*o = -92, 0*o = -4*c + 5*o + 132. Calculate the remainder when 6/(-2)*c/(-6) is divided by (-144)/(-14) - 12/42.
9
Calculate the remainder when 59 is divided by (6/5)/((-39)/(-130)).
3
Let q(k) = k**3 - 7*k**2 - 8*k + 3. Let i be q(8). Suppose -2*a - i = -a + 2*u, 0 = -2*a + u + 19. What is the remainder when 25 is divided by a?
4
Suppose -2*r - 16 = -5*u, -5*u = -2*u + 5*r - 22. Let d(j) = 1 + 8*j - 2 - 6*j. Calculate the remainder when d(4) is divided by u.
3
Suppose 10*p + 6*p = 480. What is the remainder when p is divided by 31/3 - 4/(-6)?
8
Suppose g - 3*g + 156 = 0. What is the remainder when g is divided by 16?
14
Let i = 4 - 1. Suppose -1 = b - 5. Calculate the remainder when b is divided by i.
1
Suppose 10 + 10 = 5*p + y, -3*y = -5*p. What is the remainder when 11 is divided by p?
2
Let y = 9 + -15. What is the remainder when (-682)/(-14) - y/21 is divided by 25?
24
Let i(r) = r - 1. Let p(o) = 9*o - 7. Let l be ((-153)/(-12))/((-2)/(-8)). Let a(u) = l*i(u) - 6*p(u). What is the remainder when 26 is divided by a(-6)?
8
Let c(q) = -q**2 + 9*q + 5. What is the remainder when 35 is divided by c(7)?
16
Suppose -3 - 73 = -b. Let t = 27 - 1. Calculate the remainder when b is divided by t.
24
Let w(o) = 3*o + 3. Let p(h) = 22*h - 3. Let a be p(6). Suppose a = 3*r - 0*r. Calculate the remainder when r is divided by w(4).
13
Calculate the remainder when -2 + -1*(-4 + 3 - 33) is divided by 7.
4
Let l(s) = -s**2 + 19*s - 16. Calculate the remainder when 5 is divided by l(18).
1
Suppose 0*b = -b + 4. Calculate the remainder when 5 is divided by b.
1
Let u = -16 - -11. Let v = u - -9. Suppose 2*y - 10 - 4 = 0. Calculate the remainder when y is divided by v.
3
Let d(m) = -m**3 + 4*m**2 + 4*m + 2. Let n be d(4). What is the remainder when (-3)/n*2*-33 is divided by 7?
4
Suppose 84 = 88*f - 85*f. What is the remainder when 103 is divided by f?
19
Let o = 134 - 87. Calculate the remainder when o is divided by 17.
13
Let a = 2 - 1. Suppose g - a = 13. Let t(w) = w**2 - 3*w + 1. What is the remainder when g is divided by t(4)?
4
Suppose 3*q - 4*q - 52 = -5*z, 5*z - 44 = -3*q. Suppose -7*m = -z*m + 30. Calculate the remainder when 47 is divided by m.
7
Let o = -12 - -28. What is the remainder when o is divided by 6?
4
Let l(o) be the second derivative of -o**4/12 - 7*o**3/6 + 5*o**2/2 - o. Calculate the remainder when 18 is divided by l(-7).
3
Calculate the remainder when 87 is divided by 150/7 + 24/42.
21
What is the remainder when 48 is divided by (-1)/(-6) - (-202)/12?
14
Let n be (-76)/(-16) + (-6)/8. Suppose 0 = s - 4, -13 = q + n*s - 2. Let z = -16 - q. What is the remainder when 20 is divided by z?
9
What is the remainder when (-82)/(-4) - 7/14 is divided by 11?
9
Let p(f) = -3*f - 2. Let n(t) = -1. Let q(j) = 3*n(j) - p(j). Suppose -4*l + 7 = -77. Calculate the remainder when l is divided by q(3).
5
Calculate the remainder when 15 is divided by (-1)/(-3)*(19 - 1).
3
Let h = 65 + 52. Calculate the remainder when h is divided by 37.
6
Let z be 93 + 4 + (-6)/(-3). Suppose l + z = 4*l. Calculate the remainder when l is divided by 12.
9
Let t = 8 + -1. Calculate the remainder when 18 is divided by t.
4
Let h(j) = 3*j**2 - 3*j + 4. Let g(c) = -c**3 + 15*c**2 + 20*c - 21. What is the remainder when g(16) is divided by h(3)?
21
Let b be (-4)/16 - (-21)/4. Suppose 34 + 11 = b*x. Suppose 4 = -u, 2*l - 4*u = -0*l + 26. Calculate the remainder when x is divided by l.
4
Suppose 0 = -4*a - a, -130 = 5*k - a. Let z = -15 - k. Calculate the remainder when z is divided by 4.
3
Let n(w) = -w**3 - 2*w**2 + w + 99. What is the remainder when n(0) is divided by 20?
19
Suppose 4*b + n + n = 152, 2*b - 56 = 4*n. Calculate the remainder when b is divided by ((-19)/(-4))/(1/4).
17
Suppose -s - 4*s + 40 = -2*a, -a + 3*s = 19. Let q = a + 56. Let i(j) = 5*j**2 - 3*j + 2. What is the remainder when q is divided by i(2)?
15
Suppose -3*p + 6 + 0 = 0. What is the remainder when 40 is divided by 3 - 6 - -19 - p?
12
Let g = -8 + 19. Let q = -7 + g. What is the remainder when 41 is divided by ((-42)/q)/(6/(-8))?
13
Calculate the remainder when 86 + (-8 - 16/(-4)) is divided by 44.
38
Suppose 18 = 4*u - u. Suppose 2*p + g - 89 = 0, 6*g + 17 = p + g. Let s = p - u. Calculate the remainder when s is divided by 19.
17
Suppose 0 = -2*