 153. Let f = -70 + h. Calculate the remainder when f is divided by 13.
10
Suppose 0 = 193*f - 196*f - 4*k + 44, -4*f - 2*k + 42 = 0. Calculate the remainder when 1061 is divided by f.
5
Suppose 12*w = 17*w - 45. Suppose 4*z - 8 = 0, 2*g - 1064 = 7*z - w*z. What is the remainder when g is divided by 28?
26
What is the remainder when 18/(-207) + -8*(-5108)/184 is divided by 119?
103
Let c = 53 - -5. Let h = 821 + -805. Calculate the remainder when c is divided by 3 + 2 + 112/h.
10
Suppose 16907 + 13544 = 154*q - 8049. What is the remainder when q is divided by 18?
16
Suppose -w = 3*w. Suppose -52*p + 972 = -70*p. Let y = w - p. Calculate the remainder when y is divided by 14.
12
Let y(w) = 518*w**2 + 2*w + 3. Let v be y(-1). Let r = v + -451. What is the remainder when 266 is divided by r?
62
Suppose 4*f = 4*z + 2548, -4*f - 36*z = -39*z - 2542. What is the remainder when f is divided by 313?
5
Suppose 5*q = -15 + 165. Let f be ((-2)/6)/(1/q). What is the remainder when 15/f*(-174)/9 is divided by 3?
2
Suppose 5*j = 20, 4*t + 3*j + 9 = 29. Calculate the remainder when 77 is divided by 7*(t + 3/3).
14
Let l(y) = 3 - 1 + 2*y - 7*y. What is the remainder when (-18)/10 - 7/35 - (5 + -67) is divided by l(-6)?
28
Suppose -34*p = -24*p - 160. Calculate the remainder when (8/24)/(2/762) is divided by p.
15
Let i = 100 + -47. Suppose r = 5*w - 480, 7*w = 9*w + 3*r - 175. What is the remainder when w is divided by i?
42
Let z = 7880 + -7629. What is the remainder when z is divided by 4?
3
Let t be 872/(-72) + 4*(-2)/(-72). Suppose -5*a = -8 - 37. Calculate the remainder when 159 is divided by t/a - -2 - 208/(-12).
15
Let w(u) = 236*u**2 - 711*u + 712. What is the remainder when w(1) is divided by 45?
12
Let d be 9128/96 + (-3)/36. Let c = d + -89. What is the remainder when 15 is divided by c?
3
Let t = 521 + -537. Calculate the remainder when 1*(-3 + 2) - -2 is divided by (11 - 2) + (t - -8).
0
What is the remainder when 805 is divided by 4050/40 + (-41)/4 + 10?
98
Suppose 0 = 5*r + 4*m - 3200, -3*r + 94*m = 93*m - 1903. Calculate the remainder when 637 is divided by r.
1
Suppose -1428 = -10*d + 542. Let t = d + -29. Calculate the remainder when t is divided by 34.
32
Let l(h) = 13*h + 218. Suppose 8*w - 3*w - u + 45 = 0, -25 = 5*w - 5*u. What is the remainder when l(w) is divided by 30?
28
Let l = 2972 - 2912. What is the remainder when 288 is divided by l?
48
Let s = 75 - 68. Let g = 8 - s. What is the remainder when 1 is divided by g?
0
Let q(f) = 31*f + 10. What is the remainder when q(5) is divided by 55?
0
Suppose -t - z + 88 = 0, 5*z = 205*t - 206*t + 68. Calculate the remainder when 925 is divided by t.
88
Suppose -56 = 10*j - 136. Let r = -112 - -235. Suppose -8 = 5*t - r. Calculate the remainder when t is divided by j.
7
What is the remainder when 704 is divided by 62/(-1705) - (-50661)/165?
90
Suppose -48*v = -62 - 758 - 1868. What is the remainder when 206 is divided by v?
38
Let p = 119 + -62. Suppose 0 = 5*b + b - 72. Let j(i) = 5*i**2 - 59*i + 8. Calculate the remainder when p is divided by j(b).
17
Suppose -4*m - 2*u + 9322 = 0, -2*m + 6979 = m - u. Suppose -4*z - 16 = 0, -4*a - m = -8*a - 4*z. What is the remainder when a is divided by 14?
12
Let l(b) = -95*b - 42. What is the remainder when l(-13) is divided by 46?
43
Let m = -2 - -3. Let l(u) be the second derivative of -8*u**3/3 + 41*u**2 - u + 48. What is the remainder when l(5) is divided by m?
0
Let q = 109 + -13. Calculate the remainder when 268 is divided by q.
76
Let h be (-1 + -3)*(4 + (-135)/10). Suppose 2*w = d - 8, -3*w + 7*w - h = -d. Suppose 608 = -2*a + d*a. What is the remainder when a is divided by 14?
10
Let l = 46 + 111. Suppose 5*q = 48 + l. Let w(k) = 32*k**2 - 25*k - 16. Calculate the remainder when w(-2) is divided by q.
39
Suppose 5*y - 10 = -5*p, 2*p - p = y + 8. Suppose 5*l = x + 12, 2*x + 2*l + 22 = -26. What is the remainder when 171 is divided by y - 700/x - 10/(-55)?
26
What is the remainder when 523 is divided by ((-550)/44)/((-45)/54)?
13
Suppose 11*y + 52 = 15*y. Suppose -15 = -y*k + 401. What is the remainder when 109 is divided by k?
13
Suppose -682*c = -4*x - 687*c + 508, 0 = x + 6*c - 89. Let u(p) = 4*p**2. What is the remainder when x is divided by u(-3)?
29
Suppose 4*t = -11 - 9. Let z(j) = -3*j + 22. Let y(r) = 7*r - 44. Let m(h) = 2*y(h) + 5*z(h). What is the remainder when m(t) is divided by 15?
12
Suppose 5*t = -9*d + 10*d - 46, -2*d - 2*t + 20 = 0. Let i be -6*((-43)/(-3) + -2). What is the remainder when -2*(4 + i*4/d) is divided by 6?
5
Suppose -2*u = -2*y - 9 - 3, 4*u = -y + 44. Suppose 0 = 2*p - 5*s - 72, 0 = u*p - 5*p + 5*s - 180. What is the remainder when 99 is divided by p?
27
Let a = -819 + 922. What is the remainder when 360 is divided by a?
51
Let i(n) = -n**2 - 10*n + 43. Let v be i(-13). Let d be (v - -1)/(50/40). Suppose -7*y = -6*y - d. What is the remainder when 20 is divided by y?
0
Let v(h) = h**2 - 14*h + 20. Let k be v(13). Suppose -k*l = 199 + 67. Let f = 43 + l. What is the remainder when f is divided by 5?
0
Let h(i) = 33*i**2 + 5*i. Calculate the remainder when h(3) is divided by 26 + (-5)/5 + 6 + 4.
32
Suppose x - 5040 = -14*x - 5*x. Let r(i) = -i + 2. Let l be r(0). Calculate the remainder when 35 is divided by ((-13)/(455/x))/(l/(-5)).
17
Let d(h) be the first derivative of -h**3/3 - 11*h**2/2 - 12*h - 7. Let l be d(-9). Suppose -45 + l = -3*w. Calculate the remainder when 38 is divided by w.
12
Let u(c) = 2*c**3 + 15*c**2 - 3888*c + 193. Let i = 148 - 86. What is the remainder when u(-48) is divided by i?
7
Suppose -5*o = 5, 5*p + 1 - 7 = o. Suppose 0 = -4*m - 4, -m = 5*z - 28 - p. Suppose -2*y + 42 - 12 = 0. Calculate the remainder when y is divided by z.
3
Let q = 16478 + -13647. What is the remainder when q is divided by 315?
311
Let t(o) be the third derivative of -o**4/12 - 2*o**3/3 - 2*o**2. Let s = -262 - -247. Calculate the remainder when 49 is divided by t(s).
23
Suppose -5*n + 2279 = 88*c - 86*c, -3*n + 3*c = -1338. What is the remainder when n is divided by 132?
57
Let m(s) = 7*s - 75. Let w be m(3). Calculate the remainder when ((-441)/w - 8) + 461/6 is divided by 29.
19
Let z(h) = -12*h - 146. Let x be z(-12). Suppose 5*v = 4*d - 24 - 29, 4*d + 5*v = 3. What is the remainder when 3549/147 - (x - 30/(-14)) is divided by d?
3
Suppose 632 = -3*q + 7*q. Suppose 0 = -5*v - 4*z + 5, 0 = z - 4 + 9. Suppose 15 = -0*s + s - v*f, 2*s - 2*f = 70. What is the remainder when q is divided by s?
38
Suppose -3*f + 4*d = 5*d - 128, -5*f = -3*d - 232. Calculate the remainder when (-736)/(-124) - (1/3)/((-1829)/354) - -142 is divided by f.
16
Let g(c) = -4*c**2 - 35*c + 61. Let n(f) = -f**2 + f + 1. Let k(j) = -g(j) + 3*n(j). Calculate the remainder when 153 is divided by k(-40).
21
What is the remainder when 527 is divided by 14910/180 - 2 - (-1)/6?
41
Suppose -2*h - 3*k + 31 = 0, -2*h - k - 10 = -47. Calculate the remainder when 2497 is divided by h.
17
Suppose 32*y - 2746 = 5991 + 3359. What is the remainder when 1546 is divided by y?
34
Suppose y = 5, 178 = 3*x + 2*y - 0*y. What is the remainder when x is divided by (1*4)/(51 + 44156/(-868))?
25
Suppose 72*c = -3*i + 77*c + 212, 4*i = c + 243. What is the remainder when 256 is divided by i?
20
Let l(f) = -77*f**2 - 3313*f - 59. What is the remainder when 18789 is divided by l(-43)?
24
Let q = -5400 - -6444. Calculate the remainder when q is divided by 342.
18
Suppose 2*z - z - 32 = 0. Let a(v) = v - 9. Let g be a(10). Calculate the remainder when g/(-2) - 242/(-4) is divided by z.
28
Let y(a) be the third derivative of -a**5/60 - a**4/8 + 5*a**3/6 + 2*a**2. Let z be y(5). Let r = z + 47. What is the remainder when 21 is divided by r?
9
Suppose 12 = -4*u, 4*u + 12 = -22*i + 21*i. Let r be (4/3)/(-2)*-105. Suppose 2*w + i*n - r = -3*n, -n = 2. Calculate the remainder when 151 is divided by w.
37
Let u(k) = 37*k - 38. Let i be 5/2 - (-21)/42. Calculate the remainder when u(i) is divided by 11.
7
Suppose -16*h - 195 = 317. Calculate the remainder when (-24)/(-26)*80 - h/208 is divided by 18.
2
Suppose -5*h + 40 = 0, 2*g + 12*h - 17*h = -12. Calculate the remainder when 2 - 1 - -1 - -25 is divided by g.
13
Suppose -3*x + 57 = 2*f, x - 8 - 95 = -3*f. Suppose 36*y - 33