+ 8. Calculate the remainder when 33 is divided by a.
9
Let r be (-4)/(-12)*-5 + 16/(-12). What is the remainder when 407 is divided by -6*(r - (-8)/(-3))?
33
Let s(f) = 2*f - 16. Suppose 3*u + 3*i = 2*u + 8, 3*u - i - 34 = 0. Suppose -12*c = -u*c - 22. Calculate the remainder when s(c) is divided by 23.
5
Suppose 0 = 4*g - 5*v - 60 - 340, 0 = 5*g - 2*v - 483. Let h(n) = -n + 45. What is the remainder when g is divided by h(19)?
17
Suppose 24*d + 1288 = 32*d + 38*d. Let f = -19 + 10. Calculate the remainder when (123/(-1))/(f/6) is divided by d.
26
Let s = -409 - -411. Suppose -8*a = -10*a - 4*v + 828, s*a + v - 840 = 0. What is the remainder when a is divided by 17?
14
Let m = 2822 - 2578. Calculate the remainder when m is divided by 74.
22
Let t be 6/(-15)*9*100/(-15). Suppose -2*k = -5*q + 259, -4*q = -3*k - t - 179. What is the remainder when q is divided by 8?
5
Let t = -643 - -432. Let d = 147 + t. Let g = d - -93. Calculate the remainder when 115 is divided by g.
28
Let c = -284 + 144. Let m = 161 + c. Calculate the remainder when m is divided by 5.
1
Suppose -l = 5*y + 5, -2*l = -5*y - 7*l - 5. Calculate the remainder when ((-4)/2 + -115)*y is divided by (-1)/((-357)/(-90) + -4).
27
Let c(j) = j**3 + 13*j**2 - 110*j - 1204. Calculate the remainder when 3124 is divided by c(-10).
184
Suppose 3*o + w + 4 = 4*o, -3*o + 28 = w. Suppose 0 = -v + o*v - 70. What is the remainder when 99 is divided by v?
9
Let m be (-36)/63 + (-12)/(-21). Suppose 5*r + 207 - 832 = m. Suppose -3*a - r = -332. What is the remainder when a is divided by 9?
6
Suppose -2*z + z - 1542 = -5*q, 0 = 4*q + 2*z - 1242. What is the remainder when q is divided by 105?
99
Let v = 253 + -251. Suppose x + 8 = 10. Suppose j = -0*j + x. Calculate the remainder when j is divided by v.
0
Suppose -3*o = -o - 24. Suppose 103*x - 91*x - 60 = 0. Suppose 0 = x*d - o*d + 119. Calculate the remainder when 44 is divided by d.
10
Let y = 24 - -33. Let s = -16 + y. What is the remainder when (-14 - -15) + 2 + 158 is divided by s?
38
Let r = 54 + -56. Let j be r/(10/(-25)) - 2. Suppose -v + t + 12 = 0, j*v + 0*t - 46 = 5*t. What is the remainder when 46 is divided by v?
4
Calculate the remainder when 3367 is divided by 9*391/345 + 2/(-10).
7
Let k = 8745 - 8495. Suppose 15*z = 11*z + 44. What is the remainder when k is divided by z?
8
Let j = 42 + -22. Suppose 5*f + 19*b - j*b - 117 = 0, 25 = f - b. What is the remainder when 87 is divided by f?
18
Let w be (-26)/39 - (-32)/12. What is the remainder when (-54)/((w/(-68))/(4/16)) is divided by 77?
74
Calculate the remainder when 605 is divided by (-2 - 6) + 1/((-6)/(-390)).
35
Let o(l) = -l**3 - 9*l**2 - 8*l + 7. Let v be o(-8). Let c(s) = -s**2 + 12*s - 8. Let b = 82 + -68. What is the remainder when c(v) is divided by b?
13
Let k(s) = 6*s - 73. Let q be k(0). Calculate the remainder when 267 is divided by (q - -74)/(1/39).
33
Let k(a) = -a**2 - 9*a + 1. Let y be k(-7). Suppose 0 = -15*h + 12*h + y. Let q(m) = 8*m - 13. Calculate the remainder when 48 is divided by q(h).
21
Let o = -2947 - -3073. What is the remainder when o is divided by 22?
16
Let v = -50 + 311. Let y(o) = -o**3 - 8*o**2 + 9*o + 12. What is the remainder when v is divided by y(-9)?
9
Let t(u) = 28*u + 257. What is the remainder when t(23) is divided by 15?
1
Let r be 3/((-18)/(-4))*(-1 - -7). Suppose -329 = r*l + 4*v + 171, 0 = 2*l - v + 244. Let s = 144 + l. Calculate the remainder when 76 is divided by s.
13
Suppose 0 = 3*a + 531 + 48. Let o(s) = 11*s + 38. Let m be o(-3). What is the remainder when m/((-25)/(-2)) + a/(-5) is divided by 14?
11
Suppose 8 = 3*z - 2*z. Let n be (12/(-21))/((-50)/25)*42. Suppose -n*k + z*k = -92. Calculate the remainder when 64 is divided by k.
18
Suppose 0*v + 48 = -v + t, -v - 45 = -4*t. Let b = -28 - v. What is the remainder when -3*75/15*(-52)/10 is divided by b?
15
Let z = -215 - -211. What is the remainder when 71 is divided by z/6 + 202/6?
5
Suppose 14475*r = 14471*r + 180. Calculate the remainder when 199 is divided by r.
19
Let h be (-6812)/(-36) + 6/27*-1. Let n = h + -106. What is the remainder when n is divided by 22?
17
Suppose -10 - 29 = -i - 3*n, 0 = 3*n + 12. Let x(o) = -94*o + 541. Calculate the remainder when x(5) is divided by i.
20
Suppose 73*y = 14*y + 14*y + 19980. What is the remainder when y is divided by 128?
60
Let f = 267 - 71. Suppose -a - 2*k - 83 + 109 = 0, 4*k - 20 = 2*a. What is the remainder when f is divided by a?
4
Let r be ((-8)/2)/(76/(-6270)). Let j = r - 224. What is the remainder when j is divided by 37?
32
Suppose -65*b + 69*b = 16. Calculate the remainder when ((-650)/(-15) - 3)*6 is divided by b.
2
Let x = -19890 + 21974. Calculate the remainder when x is divided by 1036.
12
Suppose 209*t - 552 = 71*t. What is the remainder when 117 is divided by t?
1
Suppose 5*u = -4*c - 20, -5*c + 15 = -2*u + 7. Suppose x - 5 = -k - c*k, -2 = -4*k + 2*x. Let n = 11 - k. Calculate the remainder when 26 is divided by n.
8
Let w(a) = 5*a - 74. Calculate the remainder when ((-49)/(-28))/(1/16) is divided by w(19).
7
Suppose -645 = -238*k + 223*k. What is the remainder when 524 is divided by k?
8
Suppose -4*i - d = -1973, 8*d = -5*i + 3*d + 2470. Suppose -6*x + i = 11*x. What is the remainder when x is divided by 13?
3
Let r(i) = -148*i - 429. What is the remainder when 452 is divided by r(-3)?
2
Let v be (6/(-4))/((-33)/88). Suppose v*n - 212 = -2*i - 0*i, 2*n - 118 = 2*i. What is the remainder when n is divided by -1 + 20 + (-1)/(-1)?
15
Suppose -6*g = -19*g + 3549. Suppose g*f - 124 = 271*f. Calculate the remainder when 493 is divided by f.
59
Suppose -16*i = -12*i - 1478 - 6818. What is the remainder when i is divided by 160?
154
Let l(o) = -40*o + 227. Let m be l(15). Let f = -307 - m. Calculate the remainder when 74 is divided by f.
8
Suppose 15587 - 14993 = 18*a. Calculate the remainder when 1894 is divided by a.
13
Let m = -5283 - -7077. Calculate the remainder when m is divided by 58.
54
Let v(x) = 5*x + 53. Let t be v(-11). Let w = 130 - t. Let g = w - 123. What is the remainder when 15 is divided by g?
6
Let i = -17097 - -17731. Calculate the remainder when i is divided by 159.
157
Let q(k) = -k**3 - 14*k**2 - 10*k - 23. Let m be q(-14). Suppose 3*s = -3*h + 9 + m, -h = -3*s - 30. What is the remainder when h is divided by 10?
9
Suppose 67*c + 79*c = 175*c - 406. Suppose 83 + 17 = 4*d. Calculate the remainder when d is divided by c.
11
Let g(m) = 4*m - 17. Let h be g(5). Suppose -h*o + 0*d + 207 = -5*d, 5*d - 163 = -2*o. Let n = o - 55. Calculate the remainder when 50 is divided by n.
12
Suppose 2*s - 3*l = 0, 4*s + 22 = 8*s + 5*l. Suppose -3*r + 36 = 2*v, -3*v - v + 66 = s*r. Calculate the remainder when (1 + (-17)/3)*-12 is divided by v.
11
Suppose -5*w - 4*i = -1048, -8*w - 4*i = -10*w + 408. Calculate the remainder when w is divided by 30.
28
Let j = -90 - -108. What is the remainder when (-284)/3*(-48)/32 is divided by j?
16
Let r(o) be the first derivative of -7*o**2/2 - 16*o + 30. Let d be r(-3). Suppose d*q - 36 = -q. What is the remainder when 14 is divided by q?
2
Let f(v) = -585*v - 580. What is the remainder when 148 is divided by f(-1)?
3
Let y(a) = 3*a**3 + 33*a**2 - 49*a - 412. Suppose -5*r + 153 = 43. Calculate the remainder when y(-11) is divided by r.
17
Let h = -561407 + 561425. What is the remainder when 61/2 + (-1)/(-2) is divided by h?
13
Suppose 62*o = 154*o - 644. Calculate the remainder when 511 is divided by o.
0
Let w = -143 - -164. What is the remainder when 102 is divided by (2808/(-14))/(-9) + (-6)/w?
14
Suppose 379*p - 354*p - 53001 = -19751. What is the remainder when p is divided by 267?
262
Suppose 0 = -10*q - q + 3300. Suppose q = -4*t + 14*t. What is the remainder when 118 is divided by t?
28
Let i(l) = 85*l**2 + 2*l + 1. Suppose -j = 2*j + 3. Suppose -x + 24 = -f, 57*f = 2*x + 58*f - 42. Calculate the remainder when i(j) is divided by x.
18
Let w(h) = h**2 + 11*h + 31. Let j be w(-7). Suppose 0*n = -5*x - j*n + 778, 2*x - 5*n - 336 = 0. What is the remainder when x is divided by 32?
30
Let u = -146 - -149. Suppose -334 = -u*j - 244. Calculate the remainder when 63 is divided by j.
3
Let j(v) = 2*v**3 - 13*v**2 - 3*v + 6. Let k be j(6). Let x be ((-8)/12)/((-4)/k). C