. Let h = r + 482. What is the remainder when h is divided by 10?
8
Let t = -3183 + 4634. What is the remainder when t is divided by 27?
20
Suppose 2*i - 7 = 3*p - 6*p, 0 = 5*p + 25. What is the remainder when (-6 - -7) + -4 - -112 is divided by i?
10
Suppose 0 = -2*y - 4*i + 470, -4*i + 9*i = -2*y + 466. What is the remainder when y is divided by (-202 - 12/4)/((-12)/(144/60))?
38
Let x = 122 - 88. Suppose -221 = -2*y + 307. Suppose 2*l + 0*l - y = -4*f, 3*l - 396 = -4*f. What is the remainder when l is divided by x?
30
Suppose 3*f - 249 = 33. Let n(b) = -4*b**3 - 26*b**2 + 10*b + 10. What is the remainder when f is divided by n(-7)?
18
Let c = 13 + 10. Let g(j) = 43*j - 18. Suppose -38 + 47 = 3*f. Calculate the remainder when g(f) is divided by c.
19
What is the remainder when 999 is divided by (46800/15)/13 + 5?
19
Let j(a) = -8*a + 3. Let c be j(0). Suppose c*g = 5*g - 1778. Suppose -w = -2*h - 0*w + 356, 0 = 5*h - 3*w - g. What is the remainder when h is divided by 45?
44
Suppose -5*o = 4*f - 2, 4*f - 10 = -0*f - o. Suppose -23 = f*k - 374. Let m = 1832 - 1802. Calculate the remainder when k is divided by m.
27
Suppose 6*k + 1272 = 10*k. Suppose 81*r = 84*r - k. What is the remainder when r is divided by 36?
34
Let r = -39660 + 40175. What is the remainder when 1905 is divided by r?
360
Suppose -2*b - 4 - 6 = 0, j - 3*b - 40 = 0. Let y(p) = p**3 - 3*p**2 + 5*p - 1. Calculate the remainder when y(4) is divided by j.
10
Let z(n) = n**3 - 22*n**2 + 6. Let f be z(22). Suppose 574 = l + f*l. What is the remainder when l is divided by 17?
14
Suppose 2*r - 528 = -3*d, 296*r + d - 799 = 293*r. Calculate the remainder when r is divided by 72.
51
Let q(l) = -5*l**2 - 126*l - 23. Let o be q(-25). Suppose 5*d = o*z + 157, 36 - 3 = d - 2*z. Calculate the remainder when 61 is divided by d.
30
What is the remainder when ((-650607)/34)/(42/(-20) + 27/45) is divided by 10?
7
Suppose 4*a + 648 = 16*a. Let g(w) = 33*w - 11. Calculate the remainder when a is divided by g(1).
10
Let p(k) be the first derivative of 9*k**2/2 - 271*k + 220. What is the remainder when 116 is divided by p(31)?
4
Suppose 3*r + 916 = 2*b, -3*r + 589 = -5*r - 3*b. Let t = -24 - r. What is the remainder when t is divided by 28?
26
Suppose -r + 2*w + 26 = 0, w + 90 = 15*r - 11*r. Calculate the remainder when 1957 is divided by r.
21
Let p = -365 - -532. Suppose 0 = 2*j - 3*j - 2, 0 = -c + 5*j + p. What is the remainder when c is divided by 16?
13
Let q = 2390 + -2379. Calculate the remainder when 8568 is divided by q.
10
Let p = -12155 + 12172. What is the remainder when 36 is divided by p?
2
Let i(b) = -b**3 + 7*b**2 - 7*b + 6. Let k be i(4). Let l = k - 15. Let d(x) = 415*x + 2128. What is the remainder when d(-5) is divided by l?
9
Let s(n) = -16*n - 51. Suppose 57 = -5*q + 7. What is the remainder when s(q) is divided by 37?
35
Suppose -10*n + 5*n - 4*j + 4 = 0, -3*n = 2*j - 2. Suppose -4*a - 592 - 58 = -v, a - 5 = n. What is the remainder when v is divided by 12?
10
Suppose 2*n - 15 = 5. Let v(l) = -l**2 + 11*l + 5. Suppose u + 50 = 102. Calculate the remainder when u is divided by v(n).
7
Suppose 1303 = 27*r - 1994 + 3. Calculate the remainder when 2073 is divided by r.
121
Suppose 4*y + 1 - 12 = q, 2 = 2*y. Suppose -4*t = -517 + 45. What is the remainder when t is divided by 44 + (5 - q)/(-3)?
38
Suppose 60 = -80*b + 83*b. Let k = 792 - 638. What is the remainder when k is divided by b?
14
Let i = -6170 - -6850. Calculate the remainder when i is divided by 206.
62
Let w(i) = -i**3 + 9*i**2 + 20*i - 36. What is the remainder when 394 is divided by w(9)?
106
Suppose 9554 = 26*i + 3470. Let t = i + -216. Calculate the remainder when 30 is divided by t.
12
Let r = 234 - -395. Calculate the remainder when r is divided by (-5)/((-10)/132) - (-459)/(-153).
62
Suppose 7*z - 8*z + 416 = s, 2*z - 3*s - 837 = 0. What is the remainder when z is divided by 30?
27
Calculate the remainder when (-66 - -72)*(-5181)/(-6) is divided by 18.
15
Let s(q) = -228*q - 2101. What is the remainder when s(-20) is divided by 14?
9
Suppose -3*v - 4*j + 9455 = 0, -j + 1622 = -2*v + 7896. What is the remainder when v is divided by 137?
127
Let q = -216 - -345. Let w be (45/(-12))/15 + 2/8. Suppose -4*b = 0, -s + 5*b - b + 10 = w. What is the remainder when q is divided by s?
9
Suppose -262*c + 266*c + t = 354, 4*c - 4*t = 344. Calculate the remainder when 5277 is divided by c.
85
Suppose -3*h + 2*f = -18017, 2*h - 2*f + 4489 - 16501 = 0. What is the remainder when h is divided by 39?
38
Suppose m - 314 = 82. What is the remainder when 35 is divided by (5/(-2))/(m/(-48) + 7)?
1
Suppose 2*r = 5*a + 1585, -18*r + 16*r + 4*a + 1594 = 0. Calculate the remainder when 4082 is divided by r.
7
Let h be (-4 - -2) + -23*6/3. Let x = -28 - h. What is the remainder when 37 is divided by x?
17
Let w(t) = 39*t**3 + t**2 - t - 2. Let n be w(-1). Let u = n + 65. Suppose -9 = -3*o - 0*o, 4*r - 45 = -3*o. What is the remainder when u is divided by r?
8
Let d = 61008 - 23927. Calculate the remainder when d is divided by 73.
70
Suppose 2*p = 2*j - 68, 5*j - 582 + 412 = -5*p. What is the remainder when 888 is divided by j?
4
Suppose 0 = -j - 121 - 210. Let d = -265 - j. Calculate the remainder when d is divided by 26.
14
Let k = 18934 - 17913. What is the remainder when k is divided by 168?
13
Suppose 7*f + 14 = 9*f. Let y be 1*(0 + 1)*(10 - f). Suppose -170 = -5*b + y*h, 17 + 119 = 4*b - 3*h. Calculate the remainder when 135 is divided by b.
33
Let v = -9973 - -10041. What is the remainder when 182 is divided by v?
46
Suppose -348 = -s - 2*j, 3*j - 1059 = -13*s + 10*s. Calculate the remainder when s is divided by 128.
102
Let z be 28*(55/10 - 5). Calculate the remainder when 122 is divided by -2*(106/(-8))/(7/z).
16
Calculate the remainder when 573*6 + (-1800)/480*4/(-3) is divided by 21.
20
Let n = 136 - 130. Let x be ((-22)/n - (-5)/(-15))/(-1). Let d(y) = -2*y**2 + 12*y - 4. Calculate the remainder when 69 is divided by d(x).
9
Let q(x) = 1217*x - 60. What is the remainder when q(5) is divided by 7?
5
Let k(g) = 10*g**2 - 9*g - 1319. Let r(b) = b**3 + 7*b**2 + 7*b + 5. Calculate the remainder when r(-4) is divided by k(12).
12
Suppose 0 = -41*l + 36*l + 5. Calculate the remainder when 61 is divided by 24/l - (-8 + 5).
7
Suppose -25 + 5 = -4*h. Let n(r) = -3 + 0 - 498*r + 501*r + 4*r**2. Calculate the remainder when n(h) is divided by 29.
25
Suppose -2*k = 3*k + 305. Let j be -3*6/9 - (-1 + k). Suppose 0*f - j = -5*f. Calculate the remainder when 21 is divided by f.
9
Suppose 0 = -2*q + 2, -d + 2*q - 17 = -19. Let u be 8/3 - 2/(-6). Suppose p = 2*h - 57, u*h - 91 = -0*p - d*p. What is the remainder when h is divided by 10?
9
Suppose 4*x = 4*d - 19276, 5*x - 12 + 17 = 0. What is the remainder when d is divided by 254?
246
Suppose 5*z + 2143 = 103. Let j be (1 + -4)/(9/z). Let t = j - 97. Calculate the remainder when t is divided by 15.
9
Suppose -8 = -z + 3*s, -5*z + 28 = -0*z - 3*s. Suppose p = -9*v + 10*v + 37, 145 = 5*p + z*v. Calculate the remainder when 130 is divided by p.
31
Let v = 19468 + -17772. What is the remainder when v is divided by 74?
68
Suppose -6*l + l + 155 = 5*z, 2*z + 4*l = 56. Let t = 29 - z. What is the remainder when 149 is divided by 260/8 - t/(-2)?
29
Let c(l) = 26*l + 189. Let v(f) = -109*f - 8. Let y be v(-3). Let r = y - 227. Calculate the remainder when r is divided by c(-6).
26
Suppose -4*f + 5*p + 390 = 0, -81 = 5*f + p - 554. What is the remainder when f is divided by 12?
11
Let g = -98 - -172. Calculate the remainder when (154/539)/(2/1148) is divided by g.
16
Let l be (1 - 1)*2/12. Suppose l = -190*m + 183*m + 2233. What is the remainder when m is divided by 32?
31
Suppose 0 = -96*c + 206307 - 45927 + 153924. What is the remainder when c is divided by 28?
26
Suppose 0 = -0*r - r + 4*x - 10, 0 = -r + 5*x - 8. Let c be r/(-4)*(-22)/(-33). Suppose 7*u - 108 = c*u. Calculate the remainder when 79 is divided by u.
25
Suppose -5 = 4*x - 1, 2*p = 3*x + 59. Suppose p = 6*z - 26. What is the remainder when 13 is divided by z?
4
What is the remainder when 103080/360 - (-1)/(-3) is divided by 38?
20
What is the remainder when 1083 is divided by ((-13)/91 - 2400/7)/(7 + -8)?
54
Suppose -150 = -6*y + 1