 by 31.
30
Suppose 6*u - 2*u = 5*b + 360, 0 = -2*u. Let q = b - -24. What is the remainder when 87 is divided by q*((-3)/36*-4 - 1)?
23
Let k = 21967 + -20222. What is the remainder when 3496 is divided by k?
6
Suppose -30*n - 28*n + 174 = 0. Suppose -7*a = -5*a + 4*d - 490, 744 = n*a - 3*d. What is the remainder when a is divided by 9?
4
Suppose 5*z - 561 = 9*d, -97*d + 96*d + 521 = 5*z. Suppose 4*q + 3*b - 135 = 0, 2*q = b + 9 + 66. Calculate the remainder when z is divided by q.
33
Let r(i) = -2*i**2 - i + 1. Let f(k) = k**3 + 22*k**2 + 32*k + 30. Let g(y) = f(y) + 3*r(y). Calculate the remainder when 54 is divided by g(-14).
16
Let p = -1 + 17. Suppose p*r = 15*r + 39. What is the remainder when r is divided by 14?
11
Suppose 300 = -2571*p + 2583*p. What is the remainder when 761 is divided by p?
11
Let w = -5900 + 6623. What is the remainder when w is divided by 180?
3
Let q(o) = 7*o**3 - 9*o**2 - 33*o + 324. Calculate the remainder when q(9) is divided by 71.
70
Let c = -140 + 110. Calculate the remainder when 21 is divided by ((-4)/5)/(0 - (-4)/c).
3
Let b = -9798 - -11746. Calculate the remainder when b is divided by 16.
12
Let x(d) = -5*d - 6. Let v(n) = -7*n + 81. Let o be v(11). Calculate the remainder when (-3)/o*-31*4 is divided by x(-6).
21
Let w(d) be the first derivative of 3*d**3 - 7*d**2 - 13 - 10*d + 1/4*d**4. Calculate the remainder when w(-10) is divided by 8.
6
Calculate the remainder when 1174 is divided by (-2 + 1 + (-35)/(-30))/((-47)/(-282)).
0
Let g be 0 + 1 + -3831*(-3)/9. Suppose 10*p - 4*p = g. What is the remainder when p is divided by 43?
41
Let h = 3586 + -2979. What is the remainder when h is divided by 161?
124
Suppose 13*s + 955 - 27455 = 13774. What is the remainder when s is divided by 1549?
0
Let s(a) = 4*a - 20. Let w be 28/8 + (-2)/(-4). Suppose -q + 28 = w*g, -5*q - 60 = -2*g - 3*g. What is the remainder when 23 is divided by s(g)?
11
Let v(h) = -85*h + 416. Let q be v(8). Let d = 8 - 4. What is the remainder when (-1)/3 - (-3 + q/36) is divided by d?
2
Let g be -2*(-6)/(-12)*-1*6. Suppose -2*a = g, 2*a - 7 = -4*m + 83. Calculate the remainder when 94 is divided by m.
22
Let o(k) = -k**3 + 27*k**2 + 472*k - 48. Suppose 0 = -4*f + 57 - 1. What is the remainder when o(39) is divided by f?
10
Suppose -40*h - 43*h = -28*h - 1155. What is the remainder when 1311 is divided by h?
9
Let o = 1560 - 1505. What is the remainder when 10169 is divided by o?
49
Let q(u) = -16*u + 4. Let c be q(1). Let w(s) = s**2 + 14*s + 24. Let m be w(c). Let g(v) = -3*v + 8. What is the remainder when 38 is divided by g(m)?
6
Suppose 8 = -j + q + 4, 16 = -3*j + 4*q. Suppose -3*b + 2*u = -204 - 57, -5*b - 4*u + 457 = j. What is the remainder when b is divided by 46?
43
Suppose 0 = 10*p - 16*p + 378. Let n = -87 + p. Calculate the remainder when 16 is divided by (n/14)/(-4*3/84).
4
Suppose 0 = 26*d + 5954 + 6760. Let g = d - -558. Calculate the remainder when 133 is divided by g.
64
Let i(n) = n**3 + 14*n**2 + 2*n + 37. Let d = 66 - 80. What is the remainder when 161 is divided by i(d)?
8
Let w = 77 - -7. What is the remainder when (1 + 892/(-4))*18/(-12) is divided by w?
81
Let s(h) = 5*h**2 + 24*h - 41. Let q be s(8). Suppose -d = 2*d + 4*z - 471, 3*d + 2*z - q = 0. What is the remainder when d is divided by 52?
1
Suppose -17*a + 18*a - 4*b = 16, 16 = a - 5*b. Calculate the remainder when 91/2 + (-6)/(-12) is divided by a.
14
Let t(d) = 4*d - 235. Calculate the remainder when t(104) is divided by 26.
25
Suppose -5*t + 0*t + k + 8 = 0, 2*k = 5*t - 6. Let c = t - 8. What is the remainder when 9 is divided by (-21)/c - (-6)/(-4)?
1
Let z = -4165 + 4185. What is the remainder when 235 is divided by z?
15
Let k(j) = 14*j**2 - 4. Suppose 10*l - 5*v = 5*l - 20, -5*l + 3*v - 16 = 0. Let n be k(l). Let c = n + -43. Calculate the remainder when 25 is divided by c.
7
Let z = 24795 - 24772. Calculate the remainder when 3672 is divided by z.
15
Suppose 0 = -8*y - 110*y + 19234. Calculate the remainder when 269 is divided by y.
106
Suppose 830 = -34*n + 1476. Calculate the remainder when 7656 is divided by n.
18
Let m(u) = u**3 - 16*u**2 + 59*u + 50. What is the remainder when 2908 is divided by m(12)?
178
Let u(h) = -37*h + 305. Let a(i) = 18*i - 152. Let s(x) = -5*a(x) - 2*u(x). Calculate the remainder when s(8) is divided by 5.
2
Suppose -2*k = 2*x - 36, 5*k = -47*x + 48*x. Let s = -2 - -4. What is the remainder when (s + 98/(-6))*-3 is divided by x?
13
Suppose -160 = -3*y - y. Let p be 1/(-1 - (-168)/160). Let t = y - p. Calculate the remainder when 39 is divided by t.
19
Let k be (-8)/(-3)*(2 + -4 + 17). Let j = 57 - k. What is the remainder when 152 is divided by j?
16
Let z(h) = -87*h**3 + 4*h**2 + 21*h + 20. What is the remainder when 20877 is divided by z(-1)?
87
Suppose 23*c = 33*c - 50. Suppose c*p - 13 - 89 = f, 3*f - 14 = -p. Calculate the remainder when 78 is divided by p.
18
Let m(n) = -16*n - 46. Let s be m(-8). Calculate the remainder when 160 is divided by s/(-6)*(8/(-4) - 1).
37
Let d = 16 + -15. Let c(h) = -7 + d + 9*h - 20. Calculate the remainder when c(12) is divided by 21.
19
Let k be 3/(-18)*4*6. Let s(m) = -5*m**3 - 3*m**2 - 6*m - 14. What is the remainder when s(k) is divided by 16?
10
Let v(l) = -1318*l - 13156. Let y = -559 + 867. What is the remainder when y is divided by v(-10)?
20
Suppose -v = 3*v - 176. Suppose -89*u - 6799 = -344*u - 268*u. What is the remainder when v is divided by u?
5
Let q(w) = -3*w**3 + 39*w**2 + 133*w - 24. What is the remainder when q(-4) is divided by 59?
24
Let z = 5358 + -4722. What is the remainder when z is divided by 262?
112
Suppose 4*n + 4*f - 396 = 0, -3*n - 20*f = -24*f - 332. Calculate the remainder when 193 is divided by n.
89
Suppose -20*v = 7*v - 216. Suppose 6*j + 2430 = -0*j. What is the remainder when 34 is divided by (18/v)/(3 + j/144)?
10
Let o be 11/(11/(-72)) + 0 + -2. Let w = -70 - o. Suppose -c + 2*c = y - 40, 236 = 5*y + w*c. What is the remainder when y is divided by 15?
14
Let u = 2727 - 2672. What is the remainder when u is divided by 16?
7
Calculate the remainder when 821 is divided by (-43)/(86/(-108)) + 21.
71
Let u be 0 - (-1)/(-4) - (-48)/(-64). Calculate the remainder when 150 is divided by (-4)/(-26) - (u + 4428/(-117)).
33
Suppose -497 - 151 = -18*b. Let a = 69 - b. What is the remainder when a is divided by 3?
0
Let w = -1 - -2. Let c(s) = 5*s**3 + 2*s**2 - 3*s + 2. Let b be c(1). Suppose 3*d - 2 = 3*u + d, -u + b = d. Calculate the remainder when u is divided by w.
0
Suppose 4*r - 53 + 213 = -4*l, 4*r = 5*l + 191. Suppose -2*v - 32 + 459 = 5*y, 0 = 4*v - 4. What is the remainder when y is divided by (104/l)/(1/(-9))?
13
Suppose 7*q = -3 + 24. Suppose -3*j + 6 = 0, -q*j = 4*i - j - 324. Calculate the remainder when i is divided by 29.
22
Calculate the remainder when 177 is divided by ((-21)/6 + (-355)/142)/((-3)/35).
37
Suppose l = 5*l - 124. Suppose l + 5 = 4*i. What is the remainder when 79 is divided by 21*27/(-18)*(-4)/i?
9
Let b = -3156 + 4580. What is the remainder when b is divided by 14?
10
Suppose 128*q - 138*q = -170. Let n(c) = -c**3 - 4*c**2 + 3*c + 2. Calculate the remainder when q is divided by n(-5).
5
Let w = -2082 + 4576. Calculate the remainder when w is divided by 13.
11
Let x be (3 - 48/(-3)) + (4 - 0). Suppose 24*g - x*g + 99 = 0. Let u = g - -182. What is the remainder when u is divided by 12?
11
Suppose -4*c - 2*p = 0, 0*c - 5*p = c. Suppose -31*o + 33*o - 396 = c. What is the remainder when o is divided by 25?
23
Suppose b - 54 + 16 = 0. Let s = -27 + b. What is the remainder when 19/((-5)/10*(1 - 3)) is divided by s?
8
Suppose 4*y + 2*s - 2696 = 3108, -y + 1448 = -s. What is the remainder when y is divided by 19/(133/84) + 510/51?
20
Let z = -16442 - -16568. Calculate the remainder when z is divided by 102.
24
Let d(k) = 39*k - 220. Calculate the remainder when d(15) is divided by 7.
1
Let v(t) = 39*t + 1. Let u be v(1). Let h = u - 29. Suppose -j + 71 = 6*b - 8*b, 5*j - 331 = 2*b. Calculate the remainder when j is divided by h.
10
Let z be -2*(-34 + 6/(-30)*-5). Suppose -z = -o - 8. What is the remainder when 109 is divided by o?
51
Let f(n) = -n**2 - 55*n - 284. Let d(c) = -c**3 + 16*c**2 + 20*c - 3. What is the remain