ose 4*x + 16 = 0, 3*x = -4*r + x + 184. Suppose 0 = 4*g + 16, 5*g + 16 = -0*f + 2*f. What is the remainder when r is divided by f/(-2) - (2 + (-2 - 12))?
9
Let l(d) = -8*d - 20. Let u(r) = 39*r + 101. Let v(g) = 11*l(g) + 2*u(g). Calculate the remainder when v(-11) is divided by 31.
30
Let r = 24 + 138. Calculate the remainder when r is divided by 15.
12
Let u be 1/1*-1 + 3. Let l be (u/1)/(8/48). Suppose 0*j = -j + 5*o - l, 2*j = 4*o - 6. What is the remainder when 7 is divided by j?
1
Suppose 2864*c - 13 = 2862*c + a, -2*a = 14. Let b(t) = t**3 + 3*t**2 - 5*t - 1. Calculate the remainder when c is divided by b(-4).
0
What is the remainder when 344 is divided by (-20)/(-170) - 3513/(-51)?
68
Let b(c) = 10*c - 7 - 3*c**2 + 2*c**2 + 2. Let q(z) = -2*z + 21. Let o be q(7). What is the remainder when 29 is divided by b(o)?
13
Let f(d) = 59*d. What is the remainder when 173 is divided by f(1)?
55
Let b be ((-2)/(3 + -5))/1. Let c(j) = 18*j**3 + j**2 + j - 1. What is the remainder when c(b) is divided by 12?
7
Let f = -27 + 29. Suppose -4*n - 57 = 2*r - 3*r, 90 = 2*r - f*n. Calculate the remainder when r is divided by 4.
1
Let j be -3*((-20)/6)/(-5). Let s(n) = -n**2 + 4*n + 35. What is the remainder when (-56)/(-9) - j/(-9) is divided by s(8)?
0
Suppose 0 = -2*x + 642 - 22. Suppose -5*i + 49 = -2*l - 94, -x = 5*l - 3*i. Let p = 34 - l. What is the remainder when p is divided by 32?
29
Let q = 93 - 88. Suppose -3*h + 3*p + 30 = 0, 2*h = -0*p + 5*p + 32. Calculate the remainder when h is divided by q.
1
Let m(p) = 2*p - 3. Let f be m(4). Suppose 26 = b + 3*i - f, -5*b + 5*i = -175. Calculate the remainder when b is divided by 18.
16
Let i = -11 + 13. Suppose 0 = -0*l + l + 4*n - 21, -i*n = -5*l + 39. Let g = -4 + l. Calculate the remainder when 17 is divided by g.
2
Let w = 125 + 0. Let b(c) = -2*c**2 + 304*c - 873. What is the remainder when w is divided by b(149)?
20
Let m = -962 - -1219. What is the remainder when m is divided by 86?
85
Suppose 20 = -5*k, 0*k = -3*g + 4*k + 73. Let f = -11 - -15. Let c(u) = 14*u. Calculate the remainder when c(f) is divided by g.
18
Let u(z) = 30*z**3 - z**2 + 1. Let p be (-24)/7 - (-3)/7. Let b be (-5)/15 + (-4)/p. What is the remainder when u(b) is divided by 8?
6
Let y = -14 + 16. Suppose -5*t = -y*t - 24. Suppose -8 = -t*h + 6*h. Calculate the remainder when 19 is divided by h.
3
Let s(a) = -43*a + 167. Calculate the remainder when s(-8) is divided by 19.
17
Let w(x) = 3*x**3 - 5*x**2 - 8*x + 3. What is the remainder when 77 is divided by w(3)?
2
Suppose 2*v + 2*v = 92. Let n(d) = 6*d + 11. Let j be n(5). Suppose a + 3*x = 3*a - 79, a - x - j = 0. What is the remainder when a is divided by v?
21
Suppose 6*r + 260 = 5*j + 9*r, -j = 4*r - 52. What is the remainder when 829 is divided by j?
49
Let o = -169 + 185. Calculate the remainder when 110 is divided by o.
14
Suppose -1032 = -34*y - 46. Calculate the remainder when y is divided by 12.
5
Let b(p) = -2*p**2 - 25*p + 22. Calculate the remainder when b(-11) is divided by 75/4 - 4/(-16).
17
Suppose -4*n + 16 = 3*w, -2*w + n = -2*n - 5. What is the remainder when 28 is divided by 21/w + (-7)/28?
3
Let y(r) = -r**2 + r + 3. Let h be y(0). Suppose 8 + 25 = h*p. Calculate the remainder when p is divided by 4.
3
Suppose 3 - 1 = -j. What is the remainder when (-8)/18 - (-12450)/675 is divided by -1*2*7/j?
4
Calculate the remainder when (-3 + 2)*(-238 + 0/(-8)) is divided by 30.
28
Let n(f) = 2*f + 5. Let j be n(-4). Calculate the remainder when (-6 - -1)/((-1)/7) is divided by 585/(-30)*2/j.
9
Suppose 0 = 3*f - 0*f - 9, -2*f - 336 = -3*b. What is the remainder when b is divided by 58?
56
Suppose 4*u = -3*g + 31, 3*g = 5*u - 4*u - 4. Let d(q) = q**3 + 7*q**2 - 2*q - 8. Calculate the remainder when u is divided by d(-7).
1
Suppose -2*f + 8 = -2*b, -5*f - 4*b - 1 = -3. Let p(x) = 9 + x**3 - f - 1 - 5 + 3*x - 2*x**2. What is the remainder when p(5) is divided by 23?
22
Let i(k) = 34*k + 248. Calculate the remainder when i(-6) is divided by 17.
10
Calculate the remainder when (-80)/(-6)*((-44)/11 + 7) is divided by 11.
7
Suppose -101 = 2*z + 15. Let j = 5 - z. Let c = -42 + j. Calculate the remainder when 83 is divided by c.
20
Let m = -116 - -203. What is the remainder when m is divided by 30?
27
Let a be (17 - 2) + (1 - 2). Let r = a - 8. Suppose -m = r*m - 266. Calculate the remainder when m is divided by 8.
6
Suppose -4*t + 684 = 2*n, 4*n - 1242 = 3*t + 93. Suppose 3*y + n = -0*y. Let f = 178 + y. Calculate the remainder when f is divided by 17.
15
Suppose -6 = 21*m - 24*m. Suppose 5*z = -2*f + 110, 0 = -0*z - 4*z + m*f + 106. Suppose w = -w + 26. Calculate the remainder when z is divided by w.
11
Suppose -104 = -6*z + 334. Calculate the remainder when z is divided by 29.
15
Let j(t) = t**2 + 20*t - 80. Let c(h) = -h**3 + 7*h**2 - 4*h - 4. Calculate the remainder when j(7) is divided by c(4).
25
Suppose -5*v + 26 = n + 6, n = 0. Suppose 4*w = 60 + 8. What is the remainder when w is divided by v?
1
Suppose 758 = 5*c + 4*b, -7*c + 2*c + 2*b = -776. Suppose -31*f + 33*f - c = 0. What is the remainder when f is divided by 26?
25
Let d = -145 - -75. Calculate the remainder when 141 is divided by ((-8)/5)/(7/d).
13
Suppose 104 = 3*b + 9*r - 14*r, -68 = -2*b + 2*r. Calculate the remainder when b is divided by 7.
5
Suppose 799*z - 817*z + 1998 = 0. What is the remainder when z is divided by 17?
9
Suppose t + 4*t = -2*u + 50, -100 = -4*u + 3*t. Suppose 3*d + 36 = 5*m, m + 3 - 24 = -4*d. What is the remainder when u is divided by m?
7
Suppose -18 = -0*h - 3*h. Suppose -3*c + h = -3. Suppose z - 45 = -4*z. Calculate the remainder when z is divided by c.
0
Let o(f) = -7 + f**2 + 2 + 3 + 7*f - 2. What is the remainder when -1*3 - (-6 - 2) is divided by o(-8)?
1
Suppose 3*g + 6 = 0, -5*w - 14 = -g - 166. What is the remainder when w is divided by 9?
3
Let n = -67 - -111. Calculate the remainder when 172 is divided by n.
40
Let f be (1 - 66)*(-12)/30. Let m = -38 + f. Let q = m + 18. What is the remainder when 17 is divided by q?
5
Calculate the remainder when 2582 is divided by 4/(-6) - 9/(243/(-1854)).
66
Let a(w) = w**2 + 7*w + 11. Suppose 1 - 2 = -t + 5*u, 3*t = 4*u + 14. Suppose 0 = 2*q - t - 2. What is the remainder when a(-6) is divided by q?
1
Suppose 4885 = 13*n + 946. Calculate the remainder when n is divided by 17.
14
Suppose -45 = -2*z + h, -2*z = -31*h + 27*h - 48. What is the remainder when 85 is divided by z?
19
Let x(n) = 2 + 2*n - n - 9. Let p(r) = -31*r + 249. Calculate the remainder when p(8) is divided by x(8).
0
Suppose -p - p + 28 = 0. Let z = -1713 + 1779. What is the remainder when z is divided by p?
10
Let d(u) = u**3 - 23*u**2 - 22*u - 12. What is the remainder when 45 is divided by d(24)?
9
Let b be 3 - (-1 + 1) - -2. Suppose -j + 0*v + 10 = -b*v, -62 = -3*j - v. What is the remainder when 194/(-4)*(-3 - -1) is divided by j?
17
Suppose 3*s - 976 = -808. What is the remainder when 172 is divided by s?
4
Suppose -6*w - 14*w + 1780 = 0. Let z = w + -54. Let c(s) = -10*s**3 - s**2 - s - 1. What is the remainder when z is divided by c(-1)?
8
Calculate the remainder when 30/(-9)*((5 - 1) + -7) is divided by 5.
0
Let c(r) = r**2 + 20*r + 3. Let z be c(-20). Suppose 0 = z*w + 26 - 143. Calculate the remainder when w is divided by 21.
18
Let w = 522 - 344. What is the remainder when w is divided by 16?
2
Suppose 9 = 3*c - 0. Suppose 4*l + f = 8*l - 403, 5*l - 525 = -c*f. Calculate the remainder when l is divided by 21.
18
Let f be 2/(-6*1)*-15. Suppose -3*b - f*k + 42 + 5 = 0, -k + 22 = 2*b. What is the remainder when -8*4/(2 + -4) is divided by b?
7
Suppose -23 = -5*c - 3. Suppose 0 = 5*i + c - 9. Let r(y) = 18*y**3 - y. What is the remainder when r(i) is divided by 10?
7
Let u(v) = -v**3 + 29*v**2 - 26*v + 15. Calculate the remainder when 426 is divided by u(28).
0
Calculate the remainder when ((-10)/(-3))/((-12)/(-450)) is divided by (28/(-5))/(-2 - 56/(-30)).
41
Let z = 1252 + -1195. What is the remainder when 283 is divided by z?
55
Let n = 24 + -21. Suppose 0 = 3*f - 12 + n. Let s = 1 + 0. Calculate the remainder when f is divided by s.
0
Let q = 9 - 5. Calculate the remainder when 31 is divided by q.
3
Let g(p) = p**2 - p + 24. Let l(t) = t - 1. Let a(k