 = 91 - n. Calculate the remainder when 17 is divided by z.
3
Let r(b) = 321*b - 6377. What is the remainder when r(20) is divided by 12?
7
Let b(f) = -175*f - 1048. Calculate the remainder when b(-7) is divided by 60.
57
What is the remainder when 549 is divided by (90/(-36))/(45/(-3348))?
177
Let o be ((-12)/(-9))/((-6)/(-36)). Let y(m) = m + 28. Calculate the remainder when 69 is divided by y(o).
33
Suppose 0 = -2*n + 2*y - 180 + 550, -2*y + 862 = 5*n. Calculate the remainder when 748 is divided by n.
44
Let z(p) = p**3 + 4*p**2 + 5*p + 89. What is the remainder when 1240 is divided by z(0)?
83
Suppose w + 46 = -29. Calculate the remainder when (-700)/(-6) + -9 + w/(-9) is divided by 7.
4
Suppose 2*c - 5 = k, -11 = 4*k + 2*c - c. Suppose -53*m + 673 + 455 = 121. What is the remainder when m is divided by (k/(-6) + -1)*-22?
8
Suppose 410 = -4*q - 338. What is the remainder when (-1)/2 - q/22 is divided by 3?
2
Suppose -5*q - d - 189 = 0, -7*q + 66 = -9*q + 2*d. Let r be (-81)/2 + 1/2. Let n = q - r. Calculate the remainder when 7 is divided by n.
1
Suppose s - 3*s = -6, s = y + 6. Let q be 8/y*(-66 + -6). Suppose -32 = 8*t - q. Calculate the remainder when 70 is divided by t.
10
Let o(i) = -i**2 - i + 32. Let p be o(5). Suppose p*h - 119 = 467. Calculate the remainder when h is divided by 49.
48
Let f(q) = -q - 1. Let k(p) = p**2 + 11*p - 36. Suppose -5 = -5*x - 0. Let i(s) = x*k(s) - 3*f(s). Calculate the remainder when 160 is divided by i(-17).
16
Suppose -12*f + 13*f = 7. Calculate the remainder when 136/51*(-18)/(-4) is divided by f.
5
Let m = -1280 + 1286. Suppose -14 = -3*z + 4. Calculate the remainder when m is divided by z.
0
Suppose -15 - 22 = -3*u + 4*n, -u + n + 11 = 0. Suppose 3*v - 3*y = 288, 7*v - 2239 + 1557 = 5*y. Calculate the remainder when v is divided by u.
3
Suppose -191 = -4*n + 5*y, -5*y + 89 = 5*n - 206. What is the remainder when 215 is divided by (0 - n)/3*(-60)/45?
23
Let w(c) = 3*c**2 - 52*c - 195. Calculate the remainder when 1978 is divided by w(-13).
2
Let s be 30/(-135) - 173/(-9). Suppose s + 5 = 4*c. Suppose 192 = 14*h - c*h. Calculate the remainder when 62 is divided by h.
14
Suppose 106*m + 48 = 82*m. Calculate the remainder when 4/(-4) - ((-84)/3 + m) is divided by 20.
9
Calculate the remainder when ((-240524)/(-1915))/(2/5) is divided by 16.
10
Let c = -34373 - -34505. What is the remainder when 502 is divided by c?
106
Let o = -2500 + 2527. Suppose -5*l = 45 - 20, -341 = -4*a + 5*l. Calculate the remainder when a is divided by o.
25
What is the remainder when 3874 is divided by 6*(102/24)/(10/80)?
202
Suppose -4681*c = -4798*c + 366678. Calculate the remainder when c is divided by 8.
6
Suppose 10*s + 15 = 7*s. Let r be (-2)/(-2*s/(-20)). Suppose -13 - 47 = -r*a. Calculate the remainder when a is divided by 12.
3
Suppose 104*c - 49464 = -6408. What is the remainder when c is divided by 61?
48
Suppose 2*t = 3*o + 4*t - 12, -4*o - 1 = -3*t. Suppose 5*w = 25 - 0, o*w - 138 = -4*q. Let c = -7 + q. What is the remainder when c is divided by 14?
11
Let i(b) = -b**2 + 53*b + 794. Calculate the remainder when 189 is divided by i(-12).
7
Let i = 9 + 43. Suppose -1 = -4*p - 17, -r + 2*p + i = 0. Let n(d) = -69*d - 404. What is the remainder when r is divided by n(-6)?
4
Let c(d) = -d**2 + d + 1. Let j(m) = -m**2 + 13*m. Let z be j(13). Let g be c(z). Suppose -4*t - g + 85 = 0. Calculate the remainder when 59 is divided by t.
17
Let d = -101 - -92. What is the remainder when 65 is divided by 7 - (3/d)/(4/12)?
1
Suppose 254*w = 2674 - 2016 + 7978. Let b(a) = a**2 + 8*a - 7. Let c be b(-9). Suppose -c = -z + 10. Calculate the remainder when w is divided by z.
10
Suppose 0 = 145*d - 2082 - 2123. What is the remainder when 2289 is divided by d?
27
Calculate the remainder when 379 is divided by 6 - (-29)/((-522)/(-972)).
19
Suppose -3*m - 4*v + 205 = 0, 235 = 32*m - 29*m - 2*v. Calculate the remainder when 198 is divided by m.
48
Suppose 77*h - 1344 = -35*h. Calculate the remainder when 1495 is divided by h.
7
Suppose -x - 44 = -d - 2*x, -d = 2*x - 48. What is the remainder when 636 is divided by d?
36
Let j = 765 - 778. Let w(p) = p**2 + 5*p - 45. Calculate the remainder when 112 is divided by w(j).
53
Suppose 63*l - 286828 = -28*l + 193561. Calculate the remainder when l is divided by 220.
219
Let g(l) = l**3 + 4*l**2 + l + 8. Let k be g(-4). Suppose k*f - 244 = -40. Let t = -53 + 59. Calculate the remainder when f is divided by t.
3
Let y = 49 + -48. Suppose -h + 19 = -y. Calculate the remainder when 5 is divided by (h + -21)*4/(-2).
1
Suppose 0 = -4*v + 10*k + 216, -3*v - 4*k + 168 = -17. Calculate the remainder when 1176 is divided by v.
55
Suppose 3*f + c - 85 = 8, -3*c = 4*f - 129. What is the remainder when ((-7176)/(-36))/(1 + (-2)/6) is divided by f?
29
Suppose -2*l + 142 = 2*b, 2*l - 63 - 65 = 5*b. What is the remainder when 284 is divided by l?
8
Let w be ((-2)/6)/((-2)/162*3). Suppose 3*o - w = 18. Suppose o*x - 42 = -5*x. Calculate the remainder when 7 is divided by x.
1
Suppose -4*y = f - 5*y + 3, f - 4*y = -9. Calculate the remainder when 6 + 8*(f - -5) is divided by 32.
6
Let a(z) = 7*z - 20. Suppose y = -3*t + 13, 2*t + y - 8 - 1 = 0. Calculate the remainder when 78 is divided by a(t).
6
Let s(h) = 7*h + 296. Let z(a) = -3*a - 17. Let y(x) = -5*x - 25. Let g(i) = 5*y(i) - 8*z(i). Calculate the remainder when s(-39) is divided by g(3).
7
Let q = -476 - -492. Suppose -q*z + 555 + 437 = 0. What is the remainder when 137 is divided by z?
13
Let i(q) = 2*q**3 - 23*q**2 - 12*q - 4. Let m be i(12). Let c be ((-1836)/(-15) - 3) + m/10. Let l = c - 104. What is the remainder when 24 is divided by l?
9
Let u(z) = -4*z - 39. Let h(b) = b + 2. Let q(a) = -2*h(a) + 2*u(a). What is the remainder when 92 is divided by q(-13)?
44
Suppose -5*z + 431 = j + 420, -5*j = 5*z - 55. Calculate the remainder when 31 is divided by j.
9
Let i(m) = 40*m + 1009. What is the remainder when 217 is divided by i(-25)?
1
Let p(j) = -j**3 - 2*j + 4*j**2 + 1 + 4*j**3 - 4*j**3 + 6*j**2. Calculate the remainder when p(9) is divided by 11.
9
Let l = 18895 + -18077. Calculate the remainder when l is divided by 200.
18
Suppose 260 = 44*l - 48*l. Let b = l - -97. Suppose 0 = -35*w + b*w + 9. Calculate the remainder when w is divided by 2.
1
Let l = 2014 - 1862. What is the remainder when l is divided by 145?
7
Let o(n) = 6*n - 10. Calculate the remainder when (-1 - 573/(-12)) + 21*21/1764 is divided by o(6).
21
Let l be (-35)/(-30)*6 - 4. Suppose 3*z - 1430 = -5*t, -299 = l*z - 3*t - 1697. What is the remainder when z is divided by 19?
14
Suppose 2*b - 423 = -3*s - b, 0 = -5*s + 5*b + 675. Suppose s = 6*v - 0*v. What is the remainder when v is divided by 6?
5
Suppose 0 = -2*m - 2*v + 52, -3*m + 5*m = -v + 55. Calculate the remainder when 99 is divided by m.
12
Suppose -x = 2*q - 2, -2*x - q = -4*q - 39. Let t = 287 - 246. Let h = t + -38. What is the remainder when x is divided by h?
0
Suppose 493*z = 489*z + 4548. Suppose -20*x + 183 = -z. Suppose -3*t - s + 39 = -13, 3*t = -2*s + 53. Calculate the remainder when x is divided by t.
15
Suppose 31*z + 540 = -390. What is the remainder when (-6)/(z/445) - 2*1 is divided by 13?
9
Calculate the remainder when 18153 is divided by 0 + 64 - (-17 + 8 + 5).
65
Let k = -83 - -145. Suppose 19*h - 12 = 83. What is the remainder when k is divided by h?
2
Suppose -447*x + 394*x - 401640 = -2026832. What is the remainder when x is divided by 91?
88
Let i be (1 + -3)/(((-6)/(-5))/(-3)). Suppose 4*a - 187 = -i*w, 3*a - 2*w - w = 174. What is the remainder when a is divided by 11?
9
Let g = 210 - 102. Suppose 5*y - g = y. Calculate the remainder when 182 is divided by y.
20
Let l be -2*(-4)/((-16)/(-38)). Suppose -11*g + l = -124. Suppose 65 = m - 3*k, -4*k = -m + 2*m - 30. Calculate the remainder when m is divided by g.
11
Calculate the remainder when 2749 is divided by 1386/45 - (-5)/(150/36).
29
Let t(a) = -53*a - 1. What is the remainder when t(-5) is divided by 33 - (14 + -25 + 6)?
36
Let y = 456 - 449. Let s be (-4)/(-14) + (-4)/14. Suppose s = -y*l - 41 + 139. What is the remainder when 40 is divided by l?
12
Suppose -211*i + 215*i = c + 69, 81 = 5*i + 4*c. What is the remainder when 2718 is divided