 180 = -20, 2*p = g + t. Calculate the remainder when p is divided by 12.
4
Let q(d) = -37*d**2 - d - 38*d**2 + d**3 + 113*d**2 - 13 - 31*d**2. Suppose b + 4*b + 30 = 0. What is the remainder when q(b) is divided by 15?
14
Let d(m) = -276*m + 84 + 148*m + 153*m - m**2. Calculate the remainder when d(26) is divided by 20.
18
Suppose -3*q + 5206 = -5*l - 15152, -2*l = 4*q - 27144. What is the remainder when q is divided by 93?
90
Suppose -2*r - 2*t + 59 = -475, -4*r - t = -1050. What is the remainder when 581 is divided by r?
59
Suppose -10*m + 6*m = 584. Let h = m - -298. Suppose -k - 142 = -h. What is the remainder when 48 is divided by k?
8
Let c = -3859 + 4461. What is the remainder when c is divided by 300?
2
Suppose 212 = 5*o + 22. Let k(s) = -13*s - 22. Let q be k(-10). Let l = q - 100. Calculate the remainder when o is divided by l.
6
Suppose -15*v + 518 - 173 = 0. Suppose 5*n + 3*m - 48 = 0, 5*n - 117 = 5*m - 37. What is the remainder when v is divided by n?
11
Suppose 7*s = 2*s + 330. Suppose -43 + 36 = 12*j - 127. What is the remainder when s is divided by j?
6
Let u(l) = -l**2 - 67*l - 717. Calculate the remainder when 355 is divided by u(-53).
5
Let h be (-38)/(-10) - (-5)/25. Suppose -4*s = -h, -g + 100 = -2*s - 9. Let u = 2214 + -2200. What is the remainder when g is divided by u?
13
Let n be 351/(-6)*(-28)/42. Suppose -u = i - 5, -i - 2*i + 3*u + n = 0. Let g = 39 + -14. What is the remainder when g is divided by i?
7
Suppose -6*g + 109 = -29. Calculate the remainder when 111 + 3/(-4 - -1) is divided by g.
18
Let n(p) = 157*p + 3637. Calculate the remainder when 673 is divided by n(-23).
23
Suppose -14*m + 63*m = 6904 + 33521. Calculate the remainder when m is divided by 204.
9
Suppose 35*w - 684 = 38*w. Let j = -196 - w. What is the remainder when 43 is divided by j?
11
Suppose 4*z - k - 190 = -2*k, -5*z - 4*k = -232. Suppose 52 - z = 2*i. What is the remainder when 14 is divided by i?
0
Let g(t) = -t**3 - 4*t**2 - 4*t - 4. Let w(i) = -2*i**2 + 177*i - 3819. Calculate the remainder when w(39) is divided by g(-4).
6
Suppose -52*g = -31*g - 2583. What is the remainder when 7133 is divided by g?
122
What is the remainder when (-3 + 3 + 29)*9 - (-62 - -58) is divided by 38?
37
Let n = -10234 + 10289. What is the remainder when 160 is divided by n?
50
Suppose -2*n - 10 = 0, 62 + 18 = 4*f - 4*n. What is the remainder when 458 is divided by f?
8
Suppose 8 = -2*p, -19*p = 2*k - 16*p + 2. Suppose 4*g = -k*w + 1653, -997 = -3*w - 2*g - 3*g. Calculate the remainder when w is divided by 28.
21
Suppose -5*n = 2*b + b - 163, 54 = 2*n + 4*b. Let i = n - 30. Suppose -j - 98 = -3*m + 101, -i*j = -5*m + 345. What is the remainder when m is divided by 23?
19
Suppose -2*u = 5*a - 265, 0 = a + 4*a + u - 265. Let j = a - 31. What is the remainder when 84 is divided by j?
18
Calculate the remainder when 649 is divided by (-21032)/(-296) + (-2)/37.
10
Suppose 2*w - 31 - 3 = 0. Suppose f + 0 - w = 0. Let r = -83 + 148. Calculate the remainder when r is divided by f.
14
Let k = -27181 - -28915. What is the remainder when k is divided by 164?
94
Suppose 0 = h - 5*w - 21, 2*h = 13*w - 15*w + 6. Calculate the remainder when 19 is divided by h.
1
Let w(j) = j**3 + 16*j**2 - 104*j + 101. Calculate the remainder when 1762 is divided by w(-21).
2
Let u(q) = 5*q**2 - 5*q + 75. Suppose -27 = -g - 21. Calculate the remainder when u(g) is divided by 43.
10
Suppose 0 = 19*g + 103185 - 232816 - 153716. Calculate the remainder when g is divided by 44.
41
Let h = -278122 + 278133. Suppose -236 = -4*a - 0*a. Calculate the remainder when a is divided by h.
4
Let x(w) = 5*w**2 + 30*w + 20. Let s be x(-5). Let f(k) = 3*k**2 - 18*k - 47. Let c = 36 + -12. What is the remainder when f(s) is divided by c?
22
Let r = 3086 + -3034. What is the remainder when 2442 is divided by r?
50
Suppose 0 = -3*a - 3*a + 90. Let p be ((-114)/a)/((-2)/40). Calculate the remainder when 12 is divided by p/40 - 12/15.
0
Let n(o) = -2*o**2 + 49*o - 127. Let r(t) = -t**2 + 12*t - 32. Let g(q) = 2*n(q) - 9*r(q). Calculate the remainder when g(-5) is divided by 59.
32
Suppose 10*m = 13*m - 15. Let r(h) = h - 11. Let g be r(m). Let u = 20 - g. What is the remainder when u is divided by 9?
8
Let y = 155 - 104. Suppose 54*p = y*p + 420. Calculate the remainder when p is divided by 13.
10
Let r = 707 - 683. What is the remainder when r is divided by 5?
4
Suppose 4*i = -548*s + 550*s + 12994, 5*i + 4*s - 16249 = 0. Calculate the remainder when i is divided by 21.
15
Let g(b) = 37*b + 128. Suppose -5*t + 195 + 165 = 5*j, 0 = -3*j + 3*t + 192. What is the remainder when j is divided by g(-3)?
0
Suppose 73 - 58 = 3*i. Suppose 3*u + 5*m = 33, -55 = -6*u + u - i*m. What is the remainder when u is divided by 14/6 - 4/(-6)?
2
Suppose -58*w = -68*w - 237 + 687. Calculate the remainder when 4454 is divided by w.
44
Suppose -4*z - 5*p = 36 + 189, -3*z + 3*p = 135. Let c = z - -96. What is the remainder when (-3016)/(-3770)*(1 - -169) is divided by c?
44
Let l = 275 - 272. Suppose l*u - 191 = 16. Calculate the remainder when u is divided by 35.
34
Let p = 12841 - 2321. Calculate the remainder when p is divided by 21.
20
Let n(z) = -z - 19. Let m be n(-23). Suppose m*c - 3*c = 11*c. Suppose 0*w + 3*j = w - 35, 4*j = c. Calculate the remainder when 242 is divided by w.
32
Let z(v) = 1063*v - 131. Let d be z(17). Suppose 0 = 2*f + 50*f - d. Calculate the remainder when f is divided by 10.
5
Let h = 22958 + -22947. What is the remainder when 2906 is divided by h?
2
Suppose 149*b = 152*b + 27. Let i = b + 96. Calculate the remainder when i is divided by 30.
27
Let n = 8 - 4. Suppose 5*a - 37 = -4*k, -k - 3*a - 21 = -n*k. Let m(v) = -v**2 + 13*v - 8. What is the remainder when 63 is divided by m(k)?
31
Suppose 5*t - 4*t = -3. Calculate the remainder when 10/t*(-1458)/45 is divided by -1 + 0 + -4 + 27.
20
Suppose -3*x - a + 6*a + 9 = 0, 2*a = 4*x - 12. Suppose -4*n + 43 = x*q + 3, -2*n + 6 = -2*q. What is the remainder when n is divided by 3?
1
Suppose -2*d + 0*d - 4*w + 22 = 0, 4*d + w - 23 = 0. Suppose -d*j = 128 + 37. Let n = 39 + j. What is the remainder when 34 is divided by n?
4
Suppose 0 = -7*d - 2*d + 873. Let l = -95 + d. Suppose 4*m = 3*n - 218, -l*n - n + 5*m = -217. What is the remainder when n is divided by 38?
36
Let y(l) = -3*l**3 + 85*l**2 - 19*l + 252. What is the remainder when y(27) is divided by 28?
23
Suppose -394*m = -347*m - 4888. Calculate the remainder when 954 is divided by m.
18
Let r = 1276 - 1191. Calculate the remainder when 429 is divided by r.
4
Let b(p) = p**2 + 4*p + 13*p + p**2 - 32 - 29*p + 13*p. What is the remainder when 45 is divided by b(-5)?
6
Let w = -602 - -607. Let l(s) = -2*s**3 + 11*s**2 + s + 7. Calculate the remainder when 108 is divided by l(w).
34
Suppose 948*g = 935*g + 3627. Calculate the remainder when g is divided by 72.
63
Let t(q) = -q**3 - 9*q**2 + 12*q - 3. Let y(c) = -5*c - 25. Let l be y(-13). Suppose -l*x + 46*x - 162 = 0. Calculate the remainder when t(-11) is divided by x.
26
Let t(a) = -11*a**2 - 132*a - 63. Calculate the remainder when 15020 is divided by t(-11).
56
Suppose 0 = 83*t - 88*t + 150. Calculate the remainder when ((-39)/2)/(2/(-4)) is divided by (-256)/(-12) - 10/t.
18
Let w = 35 - 15. Let s(i) = 5*i**2 + i - 15. Let h be s(2). Suppose -2*z - h*k + 51 = -2*k, -3*z = -4*k - 19. Calculate the remainder when w is divided by z.
7
Let r(s) = -448*s**3 + 3*s + 4. Suppose -279 + 479 = 4*b. Calculate the remainder when r(-1) is divided by b.
49
Let w = 255768 + -255747. Suppose 55 = -3*o - 2*o - 4*a, o - 2*a - 3 = 0. Let f = o - -46. What is the remainder when f is divided by w?
18
Let q(r) = 33*r - 1870. Calculate the remainder when q(91) is divided by 42.
41
Let c(o) = -29*o + 1 + 5*o - 4668*o**2 - o**3 + 4655*o**2. Calculate the remainder when c(-11) is divided by 20/3 + 2/(-3).
5
Let m = 158 + -24. Let t = -91 + m. Calculate the remainder when 341 is divided by t.
40
Suppose 0 = 2*n - 806 - 430. Let r = -17639 - -17670. What is the remainder when n is divided by r?
29
Suppose -15*u = -10*u - 1030. Let h = 97 - u. Let t = -92 - h. Calculate the remainder when t is divided by 5.
2
Suppose -3*m = 73*h - 71*h - 58, 2*h - 78 = 2*m. Calculate the rema