(i) = 14 - 32 + 50*i - 37 - 54 - 4*i. What is the remainder when 183 is divided by b(3)?
9
Suppose -3*c - d = -17, 6*d + 36 = 4*c + 10*d. Suppose -3*a + 5*r + 15 = 1, -2*r = -c*a + 14. Calculate the remainder when 31 is divided by a.
1
Suppose -67 = -2*r - 5*c, -r + 32*c - 30*c = -2. Calculate the remainder when 26 is divided by r.
10
Let y(o) = -5*o**3 - 33*o**2 - 30*o - 14. Calculate the remainder when 4755 is divided by y(-6).
57
Suppose 2*v = 8 + 96. Suppose -3*l = -2*j + 52, l - 15 - v = -3*j. Let d(t) = -t**3 - 7*t**2 + 50*t + 313. What is the remainder when j is divided by d(-5)?
10
Suppose 2*a + 5*a = -1449. Let g = a - -297. Suppose -g = -3*c - 39. What is the remainder when c is divided by 6?
5
Let t(g) = -648*g - 79012. Let o(x) = 128*x**2 + x + 1. Calculate the remainder when o(-1) is divided by t(-122).
40
Suppose -6*v - 7 + 85 = 0. What is the remainder when 64 is divided by v/((-260)/(-168)) - (-2)/(-5)?
0
Let y(m) = -43*m + 67. Let t be y(-10). Let l = t - 444. Calculate the remainder when 105 is divided by l.
52
Suppose n + 9 = 6*n + g, 0 = -g - 1. Suppose 2*u = -3*v + 52, -1 = -n*v + 3. Calculate the remainder when 89 is divided by u.
20
Suppose -21*w - 67 = -109. Suppose -5*q = -10, 4*q + 3 - 1 = d. Suppose -w*l + d*l = 192. What is the remainder when l is divided by 9?
6
Let o(v) = v**3 - 5*v**2 - 7*v + 7. Suppose 31*p + 51 = 640. What is the remainder when o(7) is divided by p?
18
Let n = -171 - -179. Suppose -304 = -n*k - 176. Calculate the remainder when 38 is divided by k.
6
Let c = 18910 - 11599. Calculate the remainder when c is divided by 159.
156
Calculate the remainder when 13108 is divided by (30/480 - (-103)/(-112))*-35.
28
Suppose -5*k = -4*k - 44. Let c(g) = 3*g**2 - 24*g - 20. Let v be c(8). Let t(b) = -5*b - 77. Calculate the remainder when k is divided by t(v).
21
Let v(p) = p + 24. Let k be v(-5). What is the remainder when 67 - k - (-1 - -4) is divided by 12?
9
Suppose -278*g + 2689 + 22053 = 0. What is the remainder when 499 is divided by g?
54
What is the remainder when 121/1 - 1 - 1 is divided by (8/(120/27))/(57/760)?
23
Suppose t = -19*r + 14*r - 20, 2*r = 2*t - 8. Suppose t = -21*d + 93 + 138. Calculate the remainder when 273 is divided by d.
9
Let n be -1*(0 + (-12)/(-6)). Calculate the remainder when ((-6664)/85)/(n/5) is divided by 50.
46
Suppose -42*s + 408 + 96 = 0. Suppose 0 = 14*k + s - 278. What is the remainder when 48 is divided by k?
10
Suppose -98 = -3*o - 20. Let j(i) = i**2 + 21*i - 9. Calculate the remainder when j(-24) is divided by o.
11
Suppose z = 24 - 3. What is the remainder when 7137 is divided by z?
18
Let m be 5284/8 - 6/(-4). Suppose -8*q + 274 = -m. What is the remainder when q is divided by 10?
7
Suppose -3*s - 859 = -2*r + 175, -1551 = -3*r + 3*s. Calculate the remainder when r is divided by (-10)/35 - (-9 - (-3762)/(-133)).
36
Suppose 0 = -4*s + 5*t + 170 + 414, 2*s = -4*t + 318. Calculate the remainder when s is divided by 55.
41
Suppose 1641 - 27 = 30*m - 1806. What is the remainder when 194 is divided by m?
80
Let n(j) = 12*j + 3614. What is the remainder when n(54) is divided by 18?
14
Suppose -5*y = 0, 1653 + 402 = 5*k + y. Suppose 3*h = 5*v - 383, -5*v - 8*h + 4*h = -k. What is the remainder when v is divided by 28?
23
Let j(b) = b**3 + 15*b**2 - 106*b - 48. Calculate the remainder when j(-20) is divided by 48.
24
What is the remainder when 271 is divided by 4/5*(-192 - -212)?
15
Suppose 4*j + 5*x - 5835 = 0, -3*x = 5*j - 9*j + 5875. What is the remainder when j is divided by 243?
7
Suppose -14*v + 16*v - 48 = 0. Let c(u) = -23*u + 379. Calculate the remainder when c(4) is divided by v.
23
Let z = 17 - -4. Suppose r = -z*r + 638. What is the remainder when 96 is divided by r?
9
Let m(b) = b**2 + 8*b + 11. Calculate the remainder when 19 - (16/40)/(1/10) is divided by m(-7).
3
Suppose -2*p - 12*p = -0*p. Suppose -12*b + 65 + 43 = p. What is the remainder when 250 is divided by b?
7
Let a(v) = 9*v**3 + 234*v**2 - 4*v - 6. Calculate the remainder when 187 is divided by a(-26).
89
Let u be 2/(-4)*(-2 + 4). Let g be u/3 + (-10)/15. Calculate the remainder when 37 is divided by g/2*(-13 + -3).
5
Let q(f) = 18*f - 4. Let m(z) = 27*z - 6. Let w(g) = -5*m(g) + 8*q(g). Suppose -h = -2*h + 1. Calculate the remainder when 29 is divided by w(h).
1
Let m(r) = -6*r**2 - 24*r - 25. Let g(l) = -2*l**2 - 12*l - 12. Let f(x) = 9*g(x) - 4*m(x). Calculate the remainder when 236 is divided by f(-2).
36
Suppose -1036 = 3*n - 2*v, -7 = 3*v - 22. Let i = n - -389. What is the remainder when 468 is divided by i?
45
Suppose -5*w - 11 = p, -w = -3*p + 4*w + 7. Let j(x) = x**2 + x + 5. Calculate the remainder when p - -179 - ((-6 - -2) + 8) is divided by j(5).
34
Let i(o) = 5*o + 45. Let p be 16 + 0 - (2 - 4). Calculate the remainder when i(p) is divided by 35.
30
Let r(z) = -2 - 15*z - 2 - 2 - 2*z. What is the remainder when r(-3) is divided by 16?
13
Let v(r) = 2*r**3 - 154*r**2 + 303*r - 157. What is the remainder when 1084 is divided by v(75)?
64
Calculate the remainder when 756 is divided by 61*1 + (-680 - -665).
20
Suppose -354 = -3*q + 4*l, 103*q - 99*q - 472 = l. What is the remainder when 470 is divided by q?
116
Let z = -312 + 304. Calculate the remainder when 3/3*-4*58/z is divided by 10.
9
Let k = -839 - -839. Suppose 5*q = -2*g + 3*g - 5, k = -4*q + 8. What is the remainder when 71 is divided by g?
11
Suppose 40*b - 2700 = 25*b. Calculate the remainder when b is divided by 98/(-147) + 35/3.
4
Let p(c) = 81*c + 124. Calculate the remainder when 878 is divided by p(2).
20
Let q be -46 - 0*(-4)/12. Let c = 79 + q. Calculate the remainder when c is divided by 16 + (-90)/(-10) + -15.
3
Suppose 0 = 2*i - g - 219, 2*i - 216 = 6*g - 4*g. Suppose q = 4 + i. Let o = q + -104. Calculate the remainder when 34 is divided by o.
1
Let q(j) = j**3 + 34*j**2 + 183*j - 10. Let x = -24 + 54. Calculate the remainder when q(-27) is divided by 6/10 - (-402)/x.
12
Suppose 0*x - 5*x + 822 = 3*n, 0 = n - 4. Let w = x - 119. Calculate the remainder when 126 is divided by w.
40
Let x = -19 + 21. Let h(k) = -8 + x*k + 4 - k**3 - 8*k**2 + 6*k**2 - 4. Calculate the remainder when h(-5) is divided by 12.
9
Suppose -2*z - 18 = 4*z. Let j be z*2/3 - 5*-2. Calculate the remainder when (28 + 0)*-14*(-2)/j is divided by 51.
47
Let c(n) = -20*n**2 - 75*n - 15*n**2 + 10 + 40*n**2 + 0. What is the remainder when 36 is divided by c(15)?
6
Suppose -126*g - 318 = -129*g. Let r = 118 - g. What is the remainder when 42 is divided by r?
6
Let k = -545 - -1133. Let x = k - 538. Suppose -5*i = 3*s - 560, i + 3 = -2. What is the remainder when s is divided by x?
45
Suppose 362 = 8*x - 126. Calculate the remainder when 230 is divided by x.
47
Let r = -5149 + 5159. What is the remainder when 99 is divided by r?
9
Let j(s) = s**2 - 92*s - 720. Calculate the remainder when 357 is divided by j(-9).
168
Let u(w) = 4*w**2 + 8*w - 23. What is the remainder when 30 is divided by u(-4)?
3
Let j = 78 - 1. Suppose -w = -5*i + j, -5*w + 0*w = -5*i + 65. Let h = -105 - -114. What is the remainder when i is divided by h?
7
Suppose 184*a = 3710211 + 4266741. Calculate the remainder when a is divided by 23.
21
Let u(c) = c**2 + 31*c - 222. What is the remainder when 288 is divided by u(10)?
100
Suppose -f = -2*h + 3, -f + 5*f = 2*h - 18. What is the remainder when 40 is divided by 10/f - (-20 - 3)?
19
Suppose -146*a = -7*a - 782093 + 17315. Calculate the remainder when a is divided by 172.
170
Let y = -83 + 90. Let t be -1*(1/1 - 1). Suppose -y*b + 41 + 85 = t. Calculate the remainder when b is divided by 4.
2
Let g be (-3)/((-6)/4)*2. Suppose g*w = -w + 75. Calculate the remainder when (-36)/4 - 740/(-20) is divided by w.
13
Suppose -28*o = -314 + 62. Let l(z) = z**2 - 7*z. Calculate the remainder when l(12) is divided by o.
6
Let w(l) = 2*l**2 - 19*l - 57. Let c be (-30)/(-5)*(-4)/(-6). Suppose -c*v = -v - 153. Calculate the remainder when v is divided by w(-3).
15
Let l(j) = j**2 + 5*j - 8. Let o be l(-7). Suppose 3*k + o*k - 99 = 0. Calculate the remainder when (0 + 1)*36 - -4 is divided by k.
7
Let j = 102 + -100. Suppose -j*p - 2*o + 22 = 0, 2*o - 47 = 4*p - 121. What is the remainder when 107 is divided by p?
11
Suppose -5*x = 45 + 3