34
Suppose -149*r - 241 = -1084 - 945. Suppose 5*t - 2*h = -h + 650, 0 = 3*t - h - 388. What is the remainder when t is divided by r?
11
Let w(g) = 3*g**2 + 54*g + 222. Let l = 15 - -2. What is the remainder when w(-15) is divided by l?
2
Let k(j) = -4*j**3 - 9*j**2 + 18*j - 8. Let g(u) = u**3 - u + 2. Let w(d) = -5*g(d) - k(d). Calculate the remainder when 109 is divided by w(5).
10
Let r(v) = v**3 + 3*v**2 - 3*v + 7. Let t be r(0). Calculate the remainder when 126 is divided by 34 - (-12)/(-42)*t.
30
Let i(r) = 21*r - 11. Let o(l) = 59*l - 33. Let y(f) = 11*i(f) - 4*o(f). Suppose s + 320 = 5*s. Calculate the remainder when s is divided by y(-2).
17
Let n = 84 - 91. Let i(r) = -4*r - 13. What is the remainder when 44 is divided by i(n)?
14
Suppose 58 = -2*z + s + 209, 80 = z + 4*s. Calculate the remainder when z is divided by 43.
33
Let x be (-62)/(-3) - (80/(-15))/(-8). Let z(i) = i + 1. Let o(b) = -2*b - 14. Let t(s) = o(s) + 3*z(s). Calculate the remainder when t(x) is divided by 4.
1
Suppose -2685 + 627 = -21*c. What is the remainder when 394 is divided by c?
2
Suppose -5065*l + 209 = -5054*l. What is the remainder when 737 is divided by l?
15
Let m(z) = 9*z - 52. Let o be m(6). Suppose -4*d + 6*d = 4*k + 50, 10 = o*d + 4*k. What is the remainder when 162 is divided by d?
12
Let p(k) = 23*k**2 + 230*k - 469. Calculate the remainder when 17594 is divided by p(2).
81
Let y be 11*54/(-495)*-15. Suppose -37*l + 1596 = -y*l. Let z(h) = -h**3 - 6*h**2 + 4*h + 1. What is the remainder when l is divided by z(-7)?
18
Suppose 7*a + 5*y - 5 = 2*a, 3*a - 4*y = -4. Suppose 4 = -4*o - 8, a = 3*w - 4*o - 225. Let n = 2 + 16. Calculate the remainder when w is divided by n.
17
Suppose 3*g + 8 - 45 = -2*l + 15, 2*g = 0. Let i = 2 - -3. What is the remainder when l is divided by i?
1
Suppose 16599 = -48*d + 84*d + 2271. Calculate the remainder when d is divided by 14.
6
Let a(o) = o**3 + 8*o**2 + 18*o + 98. What is the remainder when a(-6) is divided by 11?
7
Suppose -3*m - 1 = -5*x, -10*x - 4*m + 18 = -7*x. Suppose 173 = x*c - 41. What is the remainder when c is divided by 14?
9
Suppose 0 = 3*x + 5*b - 9, 0*x - 4*x + 26 = 2*b. Suppose -x*z + 5798 = 18*z. Suppose 0*c + 2*c - 64 = 0. Calculate the remainder when z is divided by c.
31
Suppose 42 = 5*h - q, -30 = -3*h + 2*q + q. Suppose h*t + 4038 = 5*l + 7*t, 0 = t - 2. Calculate the remainder when l is divided by 81.
79
Let q(y) = 12*y**2 + 6*y. Let d be q(-4). Let s = -147 + d. Calculate the remainder when 77 is divided by s.
14
Suppose 10 = 5*r, 454*r - 457*r = -2*z + 5594. Calculate the remainder when z is divided by 36.
28
Calculate the remainder when 618 is divided by (-39 - -45) + 7*(-3)/(-21)*6.
6
Suppose 17*m - 43*m = -10*m - 1360. What is the remainder when 398 is divided by m?
58
What is the remainder when 7251 is divided by (8 - -3*236/12) + (1 - 6)?
59
Suppose 2*o - 1902 = -3*u, -u - 7*o = -4*o - 641. Let c = u - 424. Calculate the remainder when c is divided by 30.
28
Let z be 20 - 15 - (1 + 4). Let w = z - -16. Suppose -94 = 3*o - 328. Calculate the remainder when o is divided by w.
14
Suppose 0 = 39*v - 15*v - 9792. Suppose -v = -12*j - 0*j. Calculate the remainder when j is divided by 18.
16
Let y(n) = 54*n**3 - 2*n**2 - 3*n - 7. Let t be y(-2). Let p = t + 758. What is the remainder when p is divided by 157?
3
Let v(i) = -4*i + 82. What is the remainder when v(0) is divided by 1027/78*6 + -3?
6
Let g(m) = -3*m + 32. Let q be ((-1)/(-5) - (-3)/(-15)) + 18. Let a be g(q). Let n = 9 - a. Calculate the remainder when 92 is divided by n.
30
Suppose 202*b - 5920 + 594 = 10834. What is the remainder when 482 is divided by b?
2
Let f be ((-1 - 0)*3)/(6/8). Let y = -1 + f. What is the remainder when (-16)/(-40) - 963/y is divided by 49?
46
Let n(y) = -y**3 + 30*y**2 - 54*y - 54. Let p be n(28). Suppose -2*w = -3*j - 75, -2*w - 15 = -p*j - 85. Calculate the remainder when 146 is divided by w.
26
Suppose -2*v - 681 = -1511. Suppose -2*i + 7*z = 5*z - 92, 5*i + z - 206 = 0. Calculate the remainder when v is divided by i.
37
Suppose -1203 = -12*f - 483. What is the remainder when f is divided by 16?
12
Let z = -2951 + 1360. Calculate the remainder when z/(-37) - (-4 + 0) is divided by 18.
11
Let w(t) = -t**2 + 6*t + 60. Let q(x) = -x**3 - 23*x**2 + 52*x + 60. Let p be q(-25). What is the remainder when 98 is divided by w(p)?
18
Let x = 221 - 715. What is the remainder when -1*(-30)/20 - x/4 is divided by 23?
10
Suppose 0*b = 3*b + 2*u - 207, -5*b + 395 = -5*u. What is the remainder when 714 is divided by b?
57
Let a(c) = -2*c**3 - 5*c**2 - 58*c - 329. What is the remainder when a(-5) is divided by 71?
15
Let k(d) = -158*d - 30. Let l be k(4). Let s = l + 1143. Calculate the remainder when s is divided by 27.
22
Suppose -22 = c + c. Let z = c - -25. Suppose -5*p + 4*w = -261, p - w - 3*w = 49. Calculate the remainder when p is divided by z.
11
Suppose 18*o - 1032 = -85*o - 69*o. Calculate the remainder when 1446 is divided by o.
0
Let a(d) = 18*d**3 + 11*d**2 - 83*d + 440. Calculate the remainder when a(5) is divided by 16.
6
Let h = -38 - -43. Let r(o) = -o**3 + 5*o**2 + 17. Suppose 2*t = 3*t - 67. Calculate the remainder when t is divided by r(h).
16
Let x = 3733 - 3708. What is the remainder when 122 is divided by x?
22
Let z(f) = f**3 - 2*f**2 + 4*f - 4. Let s be z(6). Suppose -2*t + 112 = -s. Let k = t - 59. What is the remainder when k is divided by 20?
19
Suppose 0 = -116*d + 62*d + 9012 + 155688. Calculate the remainder when d is divided by 218.
216
Suppose -f + 27 + 341 = 7*k, -3*k + 3*f + 144 = 0. Calculate the remainder when 264 is divided by k.
4
Let w = 115 - 103. Suppose 3*s - u = 23 + 81, -2*s + 73 = 3*u. What is the remainder when s is divided by w - (-5 - -11) - -6?
11
Let y(l) = 3*l**2 - 7*l - 3. Calculate the remainder when ((-275)/22 + 5)/(15/(-108)) is divided by y(4).
3
Calculate the remainder when 747 is divided by ((-1)/(-2))/((-5537)/462 + 12).
21
Calculate the remainder when (-4358)/(-4) - (-36)/(-24) is divided by 26.
22
Let f = 448 + -84. Let q = 520 - f. What is the remainder when ((-7)/(-14)*-1)/((-1)/q) is divided by 8?
6
Let d(j) = -6*j - 6. Let i be d(-8). Let g = -21 + i. Suppose -132*l = -1006 - 578. Calculate the remainder when g is divided by l.
9
Let a = 175 + -152. Let y be 14/2 - (11 + -8). Suppose 2*o - y*c - 207 = -3*o, 4*o - 168 = 2*c. What is the remainder when o is divided by a?
20
Let h(f) = 35*f**2 + 29*f + 90. Calculate the remainder when 640 is divided by h(-3).
4
Let a = 17 + -6. Suppose 5*h = -4*f + 213, 97*h = f + 101*h - 45. Let m = f + a. What is the remainder when m is divided by 10?
8
Suppose -14*b = 46 - 18. What is the remainder when 44 is divided by (21/b)/((-1)/2) - -2?
21
Let y = 259 + -279. Let b(h) = h**3 + 19*h**2 - 23*h + 43. What is the remainder when b(y) is divided by 25?
3
Let u = -40 - -139. Calculate the remainder when u is divided by (15/(-2))/((-12)/32).
19
Let m(f) = 12*f**2 - 61*f - 235. Calculate the remainder when m(12) is divided by 17.
13
Suppose -3*q - 105*w + 106*w = -97, 0 = -5*q + 2*w + 160. What is the remainder when 842 is divided by q?
26
Suppose -4*j + 60555 = -3*j - 4*h, -60555 = -j + 5*h. Calculate the remainder when ((-4)/6)/((-110)/j) is divided by 74.
71
Let u(g) = 129*g + 2355. What is the remainder when 120 is divided by u(-18)?
21
Let g be 16 + (-5 - 165/11). Let t(n) be the second derivative of -13*n**3 - 7*n**2 + 2*n. Calculate the remainder when t(g) is divided by 15.
13
Let a(j) be the first derivative of -92*j**4 - j**3/3 - 4*j - 24. Let u be a(-2). What is the remainder when 6/(-14) - u/(-56) is divided by 28?
24
Let i(h) = 4*h**3 + 96*h**2 - 5*h - 89. Calculate the remainder when 7156 is divided by i(-24).
26
Let n(h) = 96*h**2 + 665*h + 6. Calculate the remainder when 267 is divided by n(-7).
47
Suppose -2*p = -2*j - 2*j + 12, -j + 2*p = 0. Suppose 2*n + 190 = 9*r - 5*r, -j*n = 2*r - 110. Calculate the remainder when r is divided by 27.
22
What is the remainder when (-1)/(6/439*3/(-18)) is divided by 150?
139
Suppose 2*m - 5*m + 282 = 0. What is the remainder when m is divided by ((-285)/105)/((-25)/175)?
18
Let o = 589 + -585. Suppose 0 = -3*l + l - 36. Let b = 29 + l. Calculate the remainder when 