+ 3. Let f = -3 + 3. Suppose -4*d + f*b + 164 = 4*b, 3*d - 127 = -4*b. What is the remainder when d is divided by a?
11
Let r(f) = f. Let q(w) = w - 2. Let l(j) = q(j) - 3*r(j). Suppose -n + 4*n = 123. Calculate the remainder when n is divided by l(-8).
13
What is the remainder when -1 - (9/21 - (-2448)/(-28)) is divided by 45?
41
Let y = 263 + -126. Let g(k) = k**3 - 9*k**2 + 3*k + 8. What is the remainder when y is divided by g(9)?
32
Suppose 0 = -0*n + 3*n - 60. What is the remainder when (-672)/(-240)*110/4 is divided by n?
17
Calculate the remainder when 1078/((-21)/(-3)) + -7 is divided by 30.
27
Let w(r) = 17*r - 42. Suppose 3*d + 5*k - 40 = 0, 5*k = -16 - 4. Calculate the remainder when w(7) is divided by d.
17
Let n(h) = -h**2 - 36*h + 71. Calculate the remainder when n(-32) is divided by 32.
7
Let q(g) = -g + 4. Let s = 1 - -40. What is the remainder when s is divided by q(-2)?
5
Let v = -3 + 56. Let w(q) = -q**2 - 12*q + 4. Let z be w(-12). Suppose 0 = 3*d + d - 3*l - 53, -5*d = z*l - 43. Calculate the remainder when v is divided by d.
9
Let j = -71 + 71. Let d = 106 + j. What is the remainder when d is divided by 38?
30
Let g = -55 + 57. Calculate the remainder when (1/g + 1)/(9/240) is divided by ((-7)/3)/((-2)/18).
19
What is the remainder when 187*-2*(105/10)/(-21) is divided by 9?
7
Let l(p) = -p + 8. Let y be l(6). Suppose 2*d = -y + 6. Suppose -d*a + 3*a - 513 = -5*q, -3*q + 312 = 2*a. What is the remainder when q is divided by 26?
24
Let z(o) = -11*o - 175. What is the remainder when z(-29) is divided by 52?
40
Suppose 92*l + 900 = 98*l. Calculate the remainder when 453 is divided by l.
3
Let s(c) = -22*c - 24. What is the remainder when 97 is divided by s(-2)?
17
Suppose 9*y - 28*y = -105 + 10. Let b be (-4)/(-6) - 49/(-3). Suppose 3*x - 19 = b. Calculate the remainder when x is divided by y.
2
Let j(y) = -y + 12. Let w be (-12)/(-66) - (-53)/11. What is the remainder when 55 is divided by j(w)?
6
Let x be (3/(-1))/(54/(-90)). Suppose 3*l - 5*a = 193, -4*l + x*l - 3*a - 63 = 0. Suppose l = -p + 4*p. What is the remainder when 64 is divided by p?
20
Let d = -21 + 27. What is the remainder when -2 + (-3 - -2)*33/(-3) is divided by d?
3
Suppose -11*i + 303 = 94. What is the remainder when 44 is divided by i?
6
Let i = 357 - 187. Calculate the remainder when i is divided by 53.
11
Let k(x) = -6*x - 4. Let f be k(-7). Let v = 21 - f. What is the remainder when 23 is divided by (v/(-2) + -2)*2?
10
Suppose 0 = 4*s + 2*l - 166, -5*s + 2*s - l = -122. Let u = s + -26. Calculate the remainder when u is divided by 5.
3
Suppose -r - 2*s + 6 = 0, -s + 2*s - 24 = -2*r. Let a(b) = -3*b + 31. What is the remainder when (r*-7)/(-3 - -1) is divided by a(6)?
10
Let b = 97 + -46. Let w = b + -50. Calculate the remainder when 2 is divided by w.
0
Suppose 5*g - 10*g + 525 = -5*j, 0 = -5*g + j + 513. Calculate the remainder when g is divided by 54.
48
Suppose 2*i + 2 = 2*w, -1 = -5*w + 3*i - 0. Let h(n) = -6*n - 3. What is the remainder when (-1)/((-4)/132) + w + 3 is divided by h(-2)?
8
Suppose 11*s + 143 = 341. Calculate the remainder when 118 is divided by s.
10
Suppose 0 = -5*d - 0*d + 350. Let z(t) = 1020 + 19*t - 22*t**2 - t**3 - 996 + 4*t**2. What is the remainder when d is divided by z(-19)?
22
Let w(l) = 5*l**2 + 10*l + 13. What is the remainder when 90 is divided by w(-3)?
6
Let j(m) = 17*m + 190. Calculate the remainder when 428 is divided by j(-8).
50
What is the remainder when 187 is divided by (-6)/(144/472)*-3?
10
What is the remainder when ((-1)/4)/(2/(-184)) is divided by 4?
3
Suppose -5*a = -25*f + 21*f + 205, 0 = 4*f - 4*a - 204. Calculate the remainder when 87 is divided by f.
37
Let p = 2977 + -2928. Let u(z) = -z**3 - 2*z**2 - 3*z + 1. What is the remainder when p is divided by u(-3)?
11
Let m = 27 - 61. Suppose 2*l - 99 = -27. Let h = m + l. Calculate the remainder when 7 is divided by h.
1
Let j(z) = -z**2 - 179*z + 16. Suppose -10 = 3*k - 4*k + m, -2*k = -m - 17. Let x = -1 + k. What is the remainder when j(0) is divided by x?
4
Calculate the remainder when 1416/120*3*5 is divided by 91.
86
Suppose b + j = -3*b + 20, -5*b + j + 25 = 0. Suppose g - b*h = 43, 5*g - 215 = -0*g - 2*h. What is the remainder when g is divided by ((-2)/4)/(2/(-44))?
10
Let u be (14/1)/((-4)/(-2)). Let p be (1/(-5))/(4 + (-4282)/1070). Suppose p = u*y + 2. What is the remainder when y is divided by 6?
3
Suppose -p + 59 = -2*g, -3*g = -8*p + 10*p - 97. Calculate the remainder when p is divided by 14.
11
Calculate the remainder when 150 is divided by (-20 - (-3)/3)/(3 - 4).
17
Let c be 27/6 + (-2)/4. Suppose -c*m + 10 = -6. Let w = 69 - 54. Calculate the remainder when w is divided by m.
3
Suppose 2*m - 3 = w - 66, -2*m - 118 = -2*w. Let x = 3 + -1. Calculate the remainder when w is divided by 1/x - 148/(-8).
17
Let x(k) be the first derivative of -k**4/4 + 14*k**3/3 - 14*k**2 + 13*k + 31. Calculate the remainder when x(11) is divided by 23.
22
Suppose -6*z = 2*z - 80. Calculate the remainder when 64 is divided by z.
4
Let u(s) = 3*s**3 + 2*s**2 + 12*s - 32. What is the remainder when u(3) is divided by 16?
7
Suppose 0 = 540*m - 543*m + 84. Calculate the remainder when 187 is divided by m.
19
Let k(s) = -2*s - 54. What is the remainder when 9 is divided by k(-28)?
1
Let k = 110 + -64. What is the remainder when 97 is divided by k?
5
Let w = 0 - 0. Suppose -3*y + 0*y + 51 = w. Calculate the remainder when y is divided by 5.
2
Let t(u) = 4*u - 3*u - 4*u**3 - 1 - u**3. Let k(m) = m**2 + 20*m - 1645. Calculate the remainder when t(-2) is divided by k(-52).
18
Let y(u) = u**3 + 6*u**2 + 5*u + 2. Let j be y(-3). Suppose -j*i + 141 = -13*i. What is the remainder when i is divided by 24?
21
Let f(a) = -a**3 + 19*a**2 + 21*a - 18. Calculate the remainder when 21 is divided by f(20).
1
What is the remainder when 312/91*(-84)/(-1) + -2 is divided by 41?
40
Let k(r) = -r + 14. Suppose 4*w = m - 45 + 4, -2*w = 2*m - 42. Let a = m - -44. Calculate the remainder when a is divided by k(0).
13
Let r be 5 - 8 - -234 - 3. Suppose 0 = -4*c + r + 724. What is the remainder when c is divided by 40?
38
Let n = -26 - -62. Suppose 6*f - 10*f + n = 0. Calculate the remainder when 62 is divided by f.
8
Let a(z) = 5 - 8 + 0 - z + 0. Let d be a(-8). Suppose -d*r = -5 - 0. What is the remainder when 3 is divided by r?
0
Let h = 23 + -19. Suppose -h*n = -5*d + 69, -5*d = -n - 29 - 52. Calculate the remainder when d is divided by 5.
2
Suppose -4*z = 12, 105 = -m + 4*m - 5*z. Suppose 5*b + 4*l - 152 = 0, 3*b - 56 - 42 = l. Let c = -16 + b. Calculate the remainder when m is divided by c.
14
Suppose 20 = -3*g + 8*g. Suppose 0 = c + g*c. Suppose -5*j + 24 + 41 = c. What is the remainder when 50 is divided by j?
11
Suppose 4*q + 135 + 157 = 0. Let s = 89 + q. Calculate the remainder when s is divided by 6.
4
Let t = -13 - -5. Let l be 66/3*(-6)/12. Let f = t - l. Calculate the remainder when 3 is divided by f.
0
Let m = 646 + -639. Calculate the remainder when 187 is divided by m.
5
Suppose 6*r - 20 = r. Suppose 5*k = r + 46. Let u = k + 18. What is the remainder when u is divided by 10?
8
Let v(s) = -7*s - 1. Let r be v(-8). Suppose y + r = 3*a + a, 3*a - 42 = y. What is the remainder when 31 is divided by a?
5
Suppose l + 7*c = 2*c + 10, 5*l - 4 = -2*c. Suppose -2*s = -l*s - 18. Let w = 58 - 34. What is the remainder when w is divided by s?
6
Suppose -19*o = -15*o - 160. What is the remainder when 35 is divided by ((-2)/(-2))/(-1 - o/(-38))?
16
Suppose -16*n = -5*n - 297. Calculate the remainder when 51 is divided by n.
24
Suppose -5*s - 60 = -7*f + 2*f, 0 = -f - 5*s + 18. Calculate the remainder when f is divided by 10.
3
What is the remainder when 280/(-12)*(-6)/15*6 is divided by 26?
4
Let a(c) = c - 12 - 5*c + 3. Suppose 0 = 7*y - 4*y + g - 198, 0 = -3*y + 4*g + 198. What is the remainder when y is divided by a(-8)?
20
Suppose -5974 = -26*c + 2840. Calculate the remainder when c is divided by 38.
35
Let h(c) = c**3 + 14*c**2 - 15*c + 8. Suppose -378 = -18*q + 36. Calculate the remainder when q is divided by h(-15).
7
Suppose 0 = -5*c - 5*k + 45, 3*k + 35 = 5*c + 6*k. Suppose c*p + 77 = 5*f, -76 = 3*f - 7*f - 4*p. What is the remainder when 83 is divided by f?
15
Let r be 94