ided by 80.
77
Suppose -11*n + 3*q = -9*n - 119, -114 = -2*n - 2*q. Suppose l = 3*m + n, 0 = -5*l + 5*m + 250. Calculate the remainder when 155 is divided by l.
17
Suppose 0 = -31*w + 6*w - 12075. Let u = w - -791. What is the remainder when u is divided by 52?
48
Let g = 19743 - 17531. What is the remainder when g is divided by 34?
2
Suppose x + 15*x - 400 = 0. Suppose -3*c = 4*i - x, -i + 16 = -0*i + 4*c. Calculate the remainder when (-2)/4*50/(-1) is divided by i.
1
Suppose -1852*c + 1891*c = 174525. What is the remainder when c is divided by 64?
59
Suppose 0 = 24*b + 4*b + 140. Let i(r) = -r - 1. Let h(k) = 3. Let z(n) = h(n) + i(n). Calculate the remainder when z(b) is divided by 3.
1
Let o = -3699 + 3809. What is the remainder when 212 is divided by o?
102
Let j = 3963 + -3938. What is the remainder when 5547 is divided by j?
22
Suppose 9*z = 3*z + 42. Let x(w) = 6*w - 16. Let l(u) = 11*u - 32. Let g(f) = z*x(f) - 3*l(f). What is the remainder when 21 is divided by g(3)?
10
Let q = -1422 + 1783. Calculate the remainder when q is divided by 136.
89
Suppose -2*y - 90 = 3*i, 3*i = 2*y - 26 + 104. Let x(f) = 307*f + 293. Let s be x(-1). Let k = s - y. What is the remainder when k is divided by 12?
4
Let j(k) = -6*k**2 - 82*k + 443. Calculate the remainder when 17877 is divided by j(4).
17
Suppose -15*x - 6485 = -20*x. Suppose -10*h + x = -763. Calculate the remainder when h is divided by 35.
31
Let w be 6/(-33) - ((-794)/11 + -1). Suppose -3*x - 32 = 58. Let h = w - x. Calculate the remainder when h is divided by 35.
33
Let r(k) = 39*k**2 - 18*k + 332. Calculate the remainder when r(-30) is divided by 21.
20
Let j(q) = -q**3 + 8*q**2 - 10*q + 8. Let r(u) = -11*u**3 - 2*u**2 - 4*u + 4. What is the remainder when r(-4) is divided by j(5)?
32
Let f = -20998 + 21551. What is the remainder when f is divided by 200?
153
Suppose 27*y - 30*y = -507. Let k = 113 - 94. Calculate the remainder when y is divided by k.
17
Suppose 23*c - 129*c + 660 = 26*c. Calculate the remainder when 399 is divided by c.
4
Let r = -6048 - -6069. Let h(w) = 14*w + 4. Calculate the remainder when h(4) is divided by r.
18
Let q be (-2)/5 + (-708)/(-20). Suppose 4*p + b - 46 = 4*b, 2*b + q = 3*p. Calculate the remainder when p is divided by (288/(-45) + 6)*-20.
5
Calculate the remainder when 198477/513 - (-20)/190 is divided by 243.
144
Calculate the remainder when ((6 - 0)/6)/(2 - -1)*3084 is divided by 338.
14
Let x = -232 - -248. Suppose 6*f - x*f = -80. What is the remainder when 14 is divided by f?
6
Let b = 8263 - 7249. Calculate the remainder when b is divided by 147.
132
Let c(y) = y**3 + 341*y**2 - 47382*y + 51. Let m = 0 + 2. Suppose 3*a - 90 = -m*a. Calculate the remainder when c(-447) is divided by a.
15
Suppose -626 = -88*h + 870. Calculate the remainder when 46 is divided by h.
12
Suppose 0 = 9*i - 17 + 8. Calculate the remainder when (i*3/(-6))/(25/(-11350)) is divided by 46.
43
Let k be -1 + (-5)/(-4 - 11/(-3)). Suppose -v + 2 + 18 = 0. Let i = v - k. What is the remainder when 33 is divided by i?
3
Suppose 5*j - 60 = 35. Let l(w) = 7*w**2 + 51*w - 361. What is the remainder when l(5) is divided by j?
12
Let c(a) = 6*a**2 + 41*a - 2. Let o be c(-7). Suppose -h - 3*m = m - 43, 0 = 5*h + 3*m - 232. What is the remainder when (126/45)/(o/250) is divided by h?
46
Suppose 10*x - 81 = x. Suppose -6 = 7*z - x*z. Suppose 0*g + 4*g - z*m = 47, -3*m - 3 = 0. What is the remainder when 20 is divided by g?
9
Let z = -174 - -29. Let s = z - -198. Calculate the remainder when 105 is divided by s.
52
Let b = 551 + -475. Suppose -f + 10 = 6, -f = 2*g - b. Calculate the remainder when 141 is divided by g.
33
Let w(k) = k**2 - 2*k - 5. What is the remainder when w(6) is divided by 12 + 10*(-1)/2?
5
Suppose 56*f + 48*f - 16445 = -11*f. What is the remainder when 422 is divided by f?
136
Suppose 0 = -5*g + 62 + 48. Let m = 866 - 861. Calculate the remainder when g is divided by m.
2
Suppose -6*s = -11*s + 485. Let i be 4/1 + (-3)/((-6)/(-8)). Suppose i = 3*n - 82 + 22. What is the remainder when s is divided by n?
17
Let f = -5435 + 5449. What is the remainder when 2405 is divided by f?
11
Let h(q) = 75*q + 8. Let m(w) = -w**2 + 8*w + 16. What is the remainder when m(7) is divided by h(0)?
7
What is the remainder when (11 - (-665)/(-57)) + (-796)/(-6) is divided by 59?
14
What is the remainder when ((-342)/(-4))/(19/114) is divided by 53?
36
Suppose -2*z - 4*j = -0*z - 28, -1 = -j. What is the remainder when 5/(9 + 1564/(-176)) is divided by z?
8
What is the remainder when 19921/22 + -19 - 6/(-4) is divided by 126?
6
Calculate the remainder when 482 is divided by -19 + 112/16 + 42.
2
Suppose -2*f + 240*w = 237*w - 2678, 5*f - 2*w - 6673 = 0. Calculate the remainder when f is divided by 43.
0
Suppose 5*m - 6 = 4*n, 0 = -m - 3*m + 4*n. Let z(y) = 3*y**2 - y + 5. Calculate the remainder when z(6) is divided by m.
5
Let j = 15 + 12. Let n(g) = 5*g + 24. Let f(c) = -10*c - 47. Let w(m) = 2*f(m) + 5*n(m). What is the remainder when j is divided by w(-2)?
11
Let g(f) = -f**3 - 16*f**2 + 37*f. Let i be g(-18). Let s = i + 22. What is the remainder when 5 is divided by s?
1
Let p(b) = 53*b - 67. Let n be p(2). Suppose 1272*d - 1275*d = -n. What is the remainder when 82 is divided by d?
4
Let a(q) = q. Let j(r) = -8*r - 21. Let f be 1 + 3 + 0/(12/(-2)). Let m(u) = f*a(u) + j(u). What is the remainder when m(-8) is divided by 3?
2
Let p(f) = f**2 + 12*f - 24. Let c = -34 + 32. What is the remainder when 265/55 - c/11 is divided by p(-14)?
1
Suppose 323 = 5*r + 208. Let z(y) = y**3 - 23*y**2 + 2*y - 19. What is the remainder when z(r) is divided by 17?
10
Let p(k) = 9*k**2 - 8*k + 110. Calculate the remainder when p(-13) is divided by 62.
61
Let p = -9159 + 9331. Calculate the remainder when p is divided by 31.
17
Let m = -3876 - -4032. Calculate the remainder when m is divided by 37.
8
Suppose 62*p - 190 = 57*p. Let g(w) = 113*w**3 + w**2 - 11*w + 10. Calculate the remainder when g(1) is divided by p.
37
Suppose -5*f + h = -3*h - 121, 0 = 2*h + 8. Suppose -26*g + 45 = -f*g. Let b(z) = -z + 2. What is the remainder when b(-15) is divided by g?
8
Let o = -5732 - -5775. What is the remainder when 503 is divided by o?
30
Suppose 0 = -35*p + 4632 - 2707. What is the remainder when 427 is divided by p?
42
Suppose -10214*u = -10265*u + 20400. What is the remainder when u is divided by 30?
10
Let w(t) = 97*t + 846. What is the remainder when 444 is divided by w(-8)?
24
Let f(w) = 5*w - 25. Suppose 0 = 10*q - 11*q - 42. Let x = -30 - q. What is the remainder when f(13) is divided by x?
4
Let s(f) = 1089*f + 1335. What is the remainder when 509 is divided by s(-1)?
17
Suppose -2*v + 10317 = 5*q, 5*q = 16*v - 12*v + 10341. Calculate the remainder when q is divided by 122.
113
Let g(q) = q**3 - 8*q**2 - 9*q + 7. Let y(m) = -m**2 - 2*m. Let z be y(-1). What is the remainder when 2 + -3 + 26 + z is divided by g(9)?
5
What is the remainder when ((-6)/4)/(1/((-3036)/18)) is divided by 13?
6
Let o = 6 - -25. Let g = 2767 + -2790. Let w = o + g. Calculate the remainder when 54 is divided by w.
6
Let o be ((-6)/4)/((-3)/44). Suppose 25*h = -103 + 178. Suppose b + 0*b = -h*s + o, 0 = 5*s + 5*b - 40. What is the remainder when 19 is divided by s?
5
Let m(v) = 11*v**3 - 220*v**2 + 654*v + 7. What is the remainder when m(3) is divided by 89?
19
Suppose 0 = 28*r - 29*r - 2*x + 42, -2*x = -5*r + 210. What is the remainder when 605 is divided by r?
17
Let g = -10696 - -11183. What is the remainder when g is divided by 118?
15
Suppose 4*y = -4*g + 1376, -1292 = -5*g + y + 464. Calculate the remainder when g is divided by 74.
54
Suppose -3*g = g - 72. What is the remainder when (-51)/(-51)*5*g is divided by 34?
22
Suppose -s - 22 = -k, -4*k + k - 3*s + 84 = 0. Let q = 28 - 151. Let i = q + 132. Calculate the remainder when k is divided by i.
7
Let n(r) = 29*r**2 + 3*r - 31. Let u(p) = 30*p**2 + 3*p - 32. Let m(x) = 4*n(x) - 3*u(x). What is the remainder when m(3) is divided by 41?
10
Suppose -5*f + 41 = -5*b + 131, -2*f + 8 = 0. Let d = 2874 - 1620. Let p = d - 1241. Calculate the remainder when b is divided by p.
9
Suppose 0 = -167*w + 178*w - 2640. Calculate the remainder when 49199 is divided by w.
239
Let y