2). Let w = 156 - k. Calculate the remainder when w is divided by 11.
10
Let y = 338 - 145. Suppose 5*d = 2*c + y, -4*c + 21 = 3*d - 2*d. Calculate the remainder when 219 is divided by d.
34
Suppose 17*f = 18*f - 21. What is the remainder when 31 is divided by f?
10
Suppose 3*p = -v + 13, 2*p - 7*p + 35 = 5*v. Let c = -1 - -9. Suppose c*k - 5*k = 9. Calculate the remainder when v is divided by k.
1
Suppose -39 = 6*x - 567. Let h = -53 + x. Calculate the remainder when h is divided by 12.
11
Let l = 835 - 802. Calculate the remainder when 42 is divided by l.
9
Suppose 49*a - 1311 - 110 = 0. Suppose 2*o = 3*o - 200. Calculate the remainder when o is divided by a.
26
Let g(q) = 2*q**2 - 52*q + 5. Suppose -4*h + i + 0*i + 161 = 0, 0 = h - 3*i - 54. What is the remainder when h is divided by g(26)?
4
Suppose 8 = 2*l + 5*u - 17, -4*l - u = -23. Let t(k) = -k**2 + 7*k + 24. What is the remainder when t(9) is divided by l?
1
Let p(z) = z**2 + z + 10. Let c be p(-4). Suppose 0 = -a - 3*w + c, 2*a + 2 - 21 = -w. What is the remainder when 40 is divided by a?
5
Suppose -5*n + 55 = 5*l, -2*l = n + 41 - 48. Calculate the remainder when 134 is divided by n.
14
Suppose -32 = 3*g + 118. Let u = g - -85. Calculate the remainder when 138 is divided by u.
33
Suppose -g + 4*w + 106 = w, 0 = -2*g - 4*w + 162. What is the remainder when g is divided by 7?
0
Calculate the remainder when 12/27*(-12051)/(-26) is divided by 36.
26
Let i(p) = -p**3 - 5*p**2 - p + 4. Let h be i(-5). Let b = -4 + h. Suppose 0 = -5*v - 15, -3*v = -3*d - 18 + 48. What is the remainder when d is divided by b?
2
Let u = -33 + 58. Suppose -3*b = -2 - u. Let j(c) = -13*c. What is the remainder when j(-2) is divided by b?
8
Suppose -4*t + 3*u - 33 = -81, -3*t = 5*u - 7. What is the remainder when 313 is divided by t?
7
Let y(n) = 12*n - 14. Suppose -h + 2*u + 6 = 0, 2*u = 3*h + 5*u. Calculate the remainder when 38 is divided by y(h).
8
Suppose 4*c + 4*t - 17 = -5, -5*t = -3*c + 33. Let q(w) = -w**3 + 9*w**2 - 3*w + 4. Calculate the remainder when q(c) is divided by 14.
10
Suppose 70*p - 168 = 64*p. What is the remainder when 55 is divided by p?
27
Let l(x) = 2*x**2 - 9*x + 1. Calculate the remainder when 503 is divided by l(-3).
43
Let u(q) = -q**2 - 10*q + 11. Let d be u(-9). What is the remainder when (-252)/60*d/(-6) is divided by 4?
2
Let w(o) = -4*o + 10. Let h be w(6). Let b(r) = -r**3 - 14*r**2 + r + 19. Let m = 38 - 21. Calculate the remainder when m is divided by b(h).
2
Suppose -4*p = -5*d + 259, -5*p = -8*p - 2*d - 200. Let m = 102 + p. Let a = 266 + -159. Calculate the remainder when a is divided by m.
35
Suppose -2*v + 4*w = -16, v = -2*w + 2 - 10. Suppose -4*g + 100 = -v*g. Let p(j) = 4*j + 1. What is the remainder when g is divided by p(3)?
12
Calculate the remainder when 322 is divided by 4/10*20 + 100.
106
Let m(n) = -n - 6. Suppose 4*w + f - 93 = -2, -5*f = 2*w - 41. Suppose -5 = 5*j, 2*z + 0*j + w = -j. What is the remainder when m(z) is divided by 2?
1
Let b = -181 - -215. What is the remainder when 76 is divided by b?
8
Let f(u) = 17*u**3 - 7*u**2 + 15*u - 33. What is the remainder when f(3) is divided by 19?
9
Let a(o) = 16*o - 12. Suppose 5*v - 2*k = 6, -2*v - 4*k = -v - 10. What is the remainder when a(v) is divided by 14?
6
Suppose 0 = -10*z + 648 - 158. Suppose 4*h - 80 = -0*h + 2*j, -h = 3*j - 13. What is the remainder when z is divided by h?
11
Let h = 66 + -33. Suppose -5*p = 3*f - 8*p - 33, -59 = -5*f + p. Calculate the remainder when h is divided by f.
9
Suppose -6*m = -1330 - 638. What is the remainder when m is divided by 103?
19
Suppose 1030*v + 84 = 1044*v. Calculate the remainder when 66 is divided by v.
0
Let c(s) = 33*s - 240. Suppose 4*n = 8, -f - 3*n + 5 = -2*n. Calculate the remainder when c(8) is divided by f.
0
Let r(d) = 170*d - 33. Suppose -25 = -s + i + 7, i + 137 = 4*s. Calculate the remainder when r(1) is divided by s.
32
Calculate the remainder when (-343)/(-3) + 80/120 is divided by 24.
19
Suppose 72*p + 1430 = 94*p. Calculate the remainder when p is divided by 21.
2
Suppose 1311 = -9*n + 32*n. Calculate the remainder when n is divided by 6.
3
Let c = 1 - -13. Let y = 72 + 79. Suppose -3 - 5 = -4*b, 4*b = 3*j - y. Calculate the remainder when j is divided by c.
11
Let o be -2*4*(-3)/6. Let q be 33*(-6*(-8)/(-18) + 3). Suppose -3*t - o*c + 34 = 0, 0 = -0*t - t - c + q. What is the remainder when t is divided by 4?
2
Calculate the remainder when 658 is divided by 2*((-135)/(-6) + -6).
31
Let a be (-7 + -1)*(1 + 0). Let x(z) = -14*z + 7. Suppose 0 = -14*y + 399 + 21. What is the remainder when x(a) is divided by y?
29
Suppose 0 = -20*b - 5 + 1265. What is the remainder when b is divided by 15?
3
Suppose -25 = 78*u - 83*u. Suppose 14 = 3*n + u. What is the remainder when 15 is divided by n?
0
Let f(s) = s**3 - 19*s**2 + 19*s - 15. Let n be f(18). Suppose -n*j + 56 = -148. What is the remainder when j is divided by 35?
33
Suppose -36*p + 46*p = 50. Calculate the remainder when 298 is divided by p.
3
Let x be (-3774)/(-34) - (4/2 - 1). What is the remainder when (-22)/x - (-641)/5 is divided by 44?
40
Suppose 13*z = 36*z - 3082. Calculate the remainder when z is divided by 34.
32
Suppose v - 4*w - 20 = w, -w - 16 = -v. Suppose 2*l + 4*x - 110 = 0, 6*l = 3*l + 5*x + 176. Calculate the remainder when l is divided by v.
12
Let u(q) = -q**3 + 8*q**2 - 2*q + 8. Suppose m - 7*m + 138 = 0. What is the remainder when u(6) is divided by m?
22
Let q(x) = x - 10. Let j(v) = -1. Let y(t) = -18*j(t) + 2*q(t). Calculate the remainder when 9 is divided by y(3).
1
Let r(a) = 2*a**2 + a - 2. Let p(h) = h**2 - 18*h + 2. Let s be p(18). What is the remainder when s + 164/8 + 3/(-6) is divided by r(2)?
6
Suppose 4*t + 4 + 0 = 0, -2*c - t = -1137. Calculate the remainder when c is divided by 44.
41
Let w = 669 + -574. What is the remainder when w is divided by 33?
29
Let d be (-20)/(-5) + 1 + 1. Suppose -5*s + 395 = -d*s. Calculate the remainder when s/(-10) + (-1)/(-2) is divided by 14.
12
Suppose 764 = -5*p + t + 2*t, 2*t = 6. Let l = -98 - p. Let k(i) = -15*i - 1. What is the remainder when l is divided by k(-1)?
11
Let b(c) = -c**3 + 6*c**2 - 2*c - 1. What is the remainder when 125 is divided by b(5)?
13
Suppose 4*t - 84 = -m, -4*m + 4*t + 351 + 65 = 0. What is the remainder when m is divided by 16?
4
Suppose -2*q - 2 + 8 = 0. What is the remainder when (-6)/2 + q + 19 is divided by 13?
6
Suppose 3*r = -k - 2 - 4, 3*k - 12 = r. Suppose 0 = -3*c - 138 + 270. Suppose c = k*y - y. Calculate the remainder when 65 is divided by y.
21
Let g = -171 + 175. Suppose 5*x = -k + 79, k = g*x - k - 66. What is the remainder when 42 is divided by x?
10
Let h(f) = -f - 3. Let g be h(-8). Suppose -g*o - 13 = -4*s + 61, 5*s + o - 78 = 0. Let v = -4 + s. Calculate the remainder when 47 is divided by v.
11
Let c(t) = -t**3 + 5*t**2 - 4*t - 2. Let y be c(4). Suppose 0 = -0*z + 14*z - 140. Calculate the remainder when y + (-3 - -2) + 32 is divided by z.
9
What is the remainder when (22/5)/((-1)/(-5)) is divided by 12/14*13/((-104)/(-28))?
1
Let m = -85 + 130. What is the remainder when m is divided by 7?
3
Let n(s) = -s**2 - 9*s + 19. What is the remainder when (-998)/(-14) + (-6)/21 is divided by n(-9)?
14
What is the remainder when 936/9 - (5 + 3) is divided by 17?
11
Let k be 17 - (-2)/((-8)/12). Let t = -11 + k. Suppose -t*d + 4*d = 21. Calculate the remainder when d is divided by 12.
9
Let s = 10 - 0. Let x(l) = l**3 + 5*l**2 - 5*l + 6. Let k be x(-6). What is the remainder when (-1 - k - -4) + 35 is divided by s?
8
Let t = -128 + 277. What is the remainder when t is divided by 42?
23
Let j = -16 - -26. Suppose -14 = -3*u + 1. Suppose 0*a + 50 = 3*h + 4*a, u*h - 95 = 5*a. What is the remainder when h is divided by j?
8
Let c = -2180 + 2518. Calculate the remainder when c is divided by 38.
34
Suppose -47 = -3*n + 55. Suppose 4*w - n - 218 = 0. Calculate the remainder when w is divided by 22.
19
Suppose q + 4*g + 0 = 23, -5*q = 4*g - 131. Let r = 20 - 35. Let o = q + r. What is the remainder when 57 is divided by o?
9
Let h = 11 + 3. Let t = -75 - -27. Let u = 89 + t. What is the remainder when u is divided by h?
13
Suppose 0 = -3*u + u + 26. Let a(w) = w**2 + 13*w - 7. Let n be a(-