d by i.
12
Let i(m) = -5*m**2 + 146*m - 139. Calculate the remainder when 2811 is divided by i(28).
27
Suppose 2*l = 7*l - 465. Suppose z - 99 + l = 0. Suppose k - z = -2*k. What is the remainder when 4 is divided by k?
0
Suppose 429 = -3*f + 6*f. Suppose 692 = -9*y + 1133. Calculate the remainder when f is divided by y.
45
Suppose 4*c - 1060 = -4*r, 10*r - 4*c + 794 = 13*r. Suppose r*i - 265*i = 8. What is the remainder when 38 is divided by i?
6
Let i(q) = 3*q**3 + 24*q**2 - 2*q - 13. Let p be i(-8). Suppose -p*w = 0, 2*f = -0*f + 2*w + 62. What is the remainder when 89 is divided by f?
27
Suppose 0 = -3*f - 4*y + 825, 0 = -0*y + 2*y. Let u(g) = -605*g + 6096. Calculate the remainder when f is divided by u(10).
45
Let i = -153 + 317. Suppose -36*g = -31*g + 5. Let t(c) = -30*c + 3. Calculate the remainder when i is divided by t(g).
32
Suppose 0 = -3*n, d - n = 4*n - 1. Suppose 30 = -5*p + 100. Calculate the remainder when p is divided by 4*d/(-2)*8/4.
2
Let b(n) = -n**3 - 16*n**2 + 16*n + 14. Let z be b(-17). Suppose z*s = -10*s + 697. Calculate the remainder when 101 is divided by s.
16
Suppose 0 = 5*j - 3*t - 23, -2*j = -5*j - 2*t + 10. Suppose 5*w = -j*a + 217, 0 = 5*a - 2*w - 71 - 159. Calculate the remainder when a is divided by 17.
14
Let u(l) = 17 + 34*l**2 - 3 - 5*l + 3*l**3 - 8 + 2. What is the remainder when u(-11) is divided by 37?
36
Let d(z) = 60*z**2 + z - 1. Suppose -2*w + 6*w - 89 = 5*k, 104 = 5*w + k. What is the remainder when d(1) is divided by w?
18
Suppose -34 = 10*u + 846. Let c = 137 + u. Let a(m) = -95*m**3 - m. What is the remainder when a(-1) is divided by c?
47
Suppose 825 = 146*b - 8665. Calculate the remainder when 1361 is divided by b.
61
Suppose 12*r - 269 = 547. Suppose 2 = 2*q, -4*q - r = -4*f + 64. Calculate the remainder when 74 is divided by f.
6
Let n(a) = 7*a + 114. Let u be -10*(12/8 - 0). Calculate the remainder when 16 is divided by n(u).
7
What is the remainder when 1585 is divided by (-2 - 33)*(27 + (-13 - 19))?
10
Let w(z) = -137*z + 481. What is the remainder when w(-7) is divided by 11?
10
Let w = 309 + -295. Suppose 3*i = 18*i - 465. What is the remainder when i is divided by w?
3
Let b(j) = j + 17. Let r(h) = -4*h - 69. Let x(s) = 9*b(s) + 2*r(s). Let l be x(-15). What is the remainder when 71 is divided by 16 + -3 + l + 2?
11
Suppose 0 = m + 3*y - 271, 32*m + 3*y = 34*m - 497. What is the remainder when 776 is divided by m?
8
What is the remainder when 121/121 + 2 + 103 is divided by 47?
12
Suppose 0 = -3*f - 4*a + 106, -120*f = -119*f - 5*a + 9. What is the remainder when 18301 is divided by f?
23
Let o(b) = -689*b + 2786. What is the remainder when 1916 is divided by o(4)?
26
Let k(f) = -4*f**3 - 10*f**2 - 5. Let c(s) = -11*s**3 - 29*s**2 - s - 13. Let j(y) = 6*c(y) - 17*k(y). Calculate the remainder when 82 is divided by j(3).
5
Suppose 2*z = -u + 27, -3*u = 2*z - 18 + 1. Suppose 4*l - 24 = -0*l. Suppose 0 = -z*t + l*t + 110. Calculate the remainder when 175 is divided by t.
10
Let d(o) = -32*o + 71. Calculate the remainder when 642 is divided by d(2).
5
Let z be 12/(-8)*(-464)/24. Suppose z*i - 3955 = -6*i. What is the remainder when i is divided by 24?
17
Suppose 2*u = x - u - 45, 0 = x - u - 55. What is the remainder when 1077 is divided by x?
57
Let b be (-576)/(-4) - (-10 - -5). Suppose -5*m + b = 5*y - 1, -3*y + m + 98 = 0. What is the remainder when y is divided by 5?
2
Suppose 71*z = 8597 + 28962. What is the remainder when z is divided by 36?
25
Let f(g) = 27*g**2 - 69*g - 76. Calculate the remainder when 1311 is divided by f(-6).
1
Let g(b) be the first derivative of 5*b**3/3 - b**2/2 - 13*b - 47. What is the remainder when g(-3) is divided by 12/10*(-20)/(-2)?
11
Let f(q) = 15*q**3 - 15*q**2 + 35*q - 4. Let r(l) = -16*l - 61. Let w be r(-4). What is the remainder when f(w) is divided by 22?
19
Suppose -10*o = 186 - 166. Let l(u) = 2 + u - 5*u - u. Calculate the remainder when 21 is divided by l(o).
9
Suppose -4*l + 68 + 222 = -2*t, 0 = 5*t + 5. What is the remainder when 572 is divided by l?
68
Suppose 2*i = -4*r + 30, 12 = r + 5*i - 0*i. Let k(l) be the first derivative of 2*l**2 - 9*l - 1474. What is the remainder when 129 is divided by k(r)?
15
Suppose 5*n + 3*r - 7 = 23, -2*n + 11 = r. What is the remainder when n + (1 - 3) + 45 is divided by (4/(-38) - (-300)/(-760))*-24?
10
Calculate the remainder when (6/(270/99))/((-1)/(-2285)) is divided by 12.
11
Let t be 4081/(-33) + (-6)/(-9). Let j = t + 136. Calculate the remainder when 42 is divided by j.
3
Calculate the remainder when 2005 is divided by (2183/236)/((-2)/(-72)).
7
Suppose 75052 - 12742 = 201*p. Calculate the remainder when 1244 is divided by p.
4
Let d = 685 - -70. Let s = d - 735. Calculate the remainder when 159 is divided by s.
19
Suppose -208*r = -210*r + 10. Suppose -r*t = 5*m - 45, -t = -2*m - 23 + 2. What is the remainder when 69 is divided by t?
4
Let c(k) = -k**3 - 12*k**2 + 2*k + 27. Let x be c(-12). Suppose -h = -2*z + 110, 40 + 25 = z - x*h. Calculate the remainder when 104 is divided by z.
51
Let n = -264 + 249. Calculate the remainder when (-2)/(-5) - (-472)/20 is divided by ((-14)/(-6))/((-5)/n).
3
Suppose -3200 = 1529*l - 1531*l + 4*g, 4*l - 3*g = 6430. What is the remainder when l is divided by 137?
105
Let g be (-1)/11 - (-1218)/(-154). Calculate the remainder when 35 is divided by ((-6)/(-4))/((-1)/g).
11
Let y be ((-4)/((-40)/75))/(3/4). Suppose -5*g - 179 = -4*x, y*x - 7*x + 5*g = 143. Calculate the remainder when 131 is divided by x.
39
Let d = 94 + -89. Suppose -3 = s + 2, 0 = d*k - 5*s - 185. Calculate the remainder when 71 is divided by k.
7
Suppose -134 = -i - 2*j, -2*j - 209 - 47 = -2*i. Let s = -103 + i. What is the remainder when s is divided by 15?
12
Suppose 0*q + 132 = 4*q. Suppose -615*b + 619*b = 72. Calculate the remainder when q is divided by b.
15
Suppose 0 = 3*w + 1281 - 1311. What is the remainder when 208 is divided by w?
8
Suppose -5*c - z + 48 = 0, 31*z + 33 = 2*c + 36*z. What is the remainder when 1151 is divided by c?
8
Let k be 12679 - -4 - (-42)/6. Suppose -f - 46*f = -k. What is the remainder when f is divided by 13?
10
Suppose 34*y - 30 - 38 = 0. Suppose r + y*r + 2*a = 741, 0 = 2*a. What is the remainder when r is divided by 32?
23
Let j(g) = 3*g - 15. Let f be -14 + 20 - (1 + -1125). Suppose 416 = -7*o + f. What is the remainder when o is divided by j(12)?
18
Suppose 0 = 2*m - 6*m + 36. Suppose -h + 27 = -3*l - 13, 0 = 3*h - 5*l - 84. Calculate the remainder when h is divided by m.
4
Let y be (-20)/8*(168/7)/(-6). Suppose -y*l + 4 = -8*l. Calculate the remainder when 2 is divided by l.
0
Let c(r) = -r + 33. Let t be c(21). Suppose t*j - 95 - 109 = 0. What is the remainder when j is divided by (-30)/(-9) + 4/6?
1
Suppose 66*h = 62*h + 20. Let m(i) = 3*i**3 + 5*i**2 + 7. Calculate the remainder when m(h) is divided by 17.
14
Let b(j) = j**3 - 36*j**2 + 129*j + 135. What is the remainder when 15697 is divided by b(32)?
166
Suppose 96*n + 47*n + 48*n - 122813 = 0. Calculate the remainder when n is divided by 60.
43
Let l = -154 + 87. Let s = 71 + l. Suppose c + 2*z = 71, -3*c + 275 = -s*z + 102. What is the remainder when c is divided by 32?
31
Let o = -286 - -296. Let f = o + 37. Calculate the remainder when f is divided by 18.
11
Suppose 71*f = 5983 - 587. What is the remainder when 311 is divided by f?
7
Suppose 3*j - g + 130 + 245 = 0, -g + 625 = -5*j. Let a = 163 + j. Calculate the remainder when a is divided by 5.
3
Let v = -20339 - -23396. Calculate the remainder when v is divided by 17.
14
Suppose -2*y + 6 = y, 0 = 3*t - 3*y - 810. What is the remainder when t - 0 - (-13 + 18) is divided by 27?
24
Let s(r) = -7*r - 43. Let v be s(-6). What is the remainder when 393 is divided by (-4 + 80/24)*33/v?
19
Suppose -2*p = 5*o - 8373, 45*p - 48*p + 2*o = -12531. What is the remainder when p is divided by 59?
49
Suppose -g = 2*z - 18 - 15, -3*g + 165 = -5*z. Calculate the remainder when 2021 is divided by g.
41
What is the remainder when 259 is divided by 2/(-3) - 1246/(-6)?
52
Let q(a) = -a**2 + 15*a - 12. Let z be q(14). Let p(w) = -w**3 - 16*w**2 + 17*w + 69. Calculate the remainder when p(-17) is divided by (-376)/(-16) + 1/z.
21
Suppose -52*b + 185*b - 2660 = 0