 v + 68. What is the remainder when c(0) is divided by (-14 + 16 - 3)*-67?
1
Suppose 3*v + 30 = 3*f - 27, 0 = 2*v. Calculate the remainder when f is divided by 15.
4
Let a(f) = -66*f**2 - 286*f - 10. Suppose -k + 2*k = -c + 8, -2*c = -3*k - 1. Calculate the remainder when a(-4) is divided by c.
3
Let c = -1 - -1. Suppose 3*u + 2*u - 125 = c. Suppose 0 = 3*b + u - 55. What is the remainder when b is divided by 3?
1
Suppose -60 = -0*w - w. Suppose 3*r - w = -r. What is the remainder when (-4)/(-7) - (-1698)/42 is divided by r?
11
Let c = 40542 - 40014. What is the remainder when c is divided by 322?
206
Suppose -5*f - 26 = -2*s, 3*s - 6*s = -5*f - 29. Calculate the remainder when (1301/s)/(9 - 78/9) is divided by 93.
92
What is the remainder when 271 is divided by 16 + -17 + 119 + 16?
3
What is the remainder when 16590/350 - (-10)/(-25) is divided by 42?
5
Let o = -348 - -342. Let q = 70 - o. Calculate the remainder when 455 is divided by q.
75
Let i(t) = -t**2 + 10*t - 20. Let z be i(8). Let k(n) = -18*n + 997. What is the remainder when 648/56 - z/(-7) is divided by k(55)?
4
Suppose -8013*n + 256 = -8005*n. Calculate the remainder when 313 is divided by n.
25
Let v(p) = p**3 - 3*p - 2. Let m(w) = w**2. Let k(y) = 5*m(y) + v(y). Let x be k(-5). Calculate the remainder when 41 is divided by (x*-10)/(-5) - 5.
20
Let x be (-25 + -8)*2/(-6). Let c(k) = 12*k + 31. What is the remainder when c(x) is divided by 33?
31
Suppose 3*u = 4*j + 125, 0 = -3*u - 113*j + 109*j + 181. Calculate the remainder when 481 is divided by u.
22
Suppose -3*h + 4*b = -660, -h = -5*b + 7*b - 240. What is the remainder when h is divided by 97?
34
Suppose -64*f = -60*f. Suppose f = 3*r + 86 - 143. Suppose 117 + 89 = g. What is the remainder when g is divided by r?
16
Let k(f) = -8*f + 1. Let n(j) = -4*j**3 + 94*j**2 + 151*j + 31. Calculate the remainder when n(25) is divided by k(-2).
5
Suppose 10*g = 6*g + 8. Suppose -2*k = g*k - 164. Let a = -1055 - -1218. Calculate the remainder when a is divided by k.
40
Suppose 5*x - 6*x - 3*j = -503, -1545 = -3*x + 3*j. Let w = x - 463. Let a = -21 + 47. What is the remainder when w is divided by a?
23
Suppose 0 = 5*o + 10, 0 = 4*j - 2*j - 2*o + 998. What is the remainder when 3/12 + -1 + j/(-12) is divided by 2/(-5) - (-154)/10?
11
Suppose 2 + 0 = 2*v. Suppose 5*n + z - 57 = -14, 0 = -5*n - 5*z + 35. Suppose 13*u = -n + 22. What is the remainder when u is divided by v?
0
Let w be (-6)/5*(-50)/(-15). Suppose 3*o - 64 = -o. What is the remainder when o is divided by ((-175)/70)/(2/w)?
1
Suppose -4*l = 4*u - 16, -l + 5*u = -0*l + 2. Suppose l*z = -4*z + 98. Calculate the remainder when z is divided by 7.
0
Let q(z) = -z - 8. Let t be q(-8). Suppose 0 = -t*y + 9*y - 306. Let b = -25 + y. What is the remainder when 26 is divided by b?
8
Suppose -5*f - 3*p + 8*p + 20 = 0, 4*f - 5*p = 18. Calculate the remainder when 16/12*66/4 is divided by (f - 4/(-7))*210/45.
10
Calculate the remainder when 1169 is divided by 21/630*-78*-25.
64
Suppose -5*d - 40 = -3*s, 0 = -8*s + 3*s - 4*d + 116. What is the remainder when 23/((-345)/(-444))*s/2 is divided by 43?
38
Suppose 0 = -4*v - 3*n + 17, 2*v = v + 4*n + 9. Suppose 0 = -0*c - 4*c - v*a + 383, 0 = -2*c - 4*a + 196. What is the remainder when c is divided by 26?
14
Let c = 25094 + -25083. What is the remainder when 2254 is divided by c?
10
Suppose -248 = -q + 1529 + 1603. Calculate the remainder when q is divided by 141.
137
Let r(c) = 3*c**3 + 8*c**2 - 104*c + 201. Calculate the remainder when r(6) is divided by 124.
17
Let i be 2 + 3 - (-5 - -104)/(-3). Suppose 3*c = p + 29, -4*c + 4*p = -6*c + i. Calculate the remainder when 392 is divided by c.
7
Suppose 6*w + 500 = 14. Let n = -4 - -8. What is the remainder when ((-44)/33)/(6/w) is divided by n?
2
Suppose 0 = -15*p + 10*p + 1120. Suppose 50 = 12*t - 10*t + 4*v, 2*t = -2*v + 50. Calculate the remainder when p is divided by t.
24
What is the remainder when -25 + 13959/561 + 5954/34 is divided by 76?
23
Let j = 338 + -340. Calculate the remainder when (j/(6/21))/((-6)/54) is divided by 17.
12
Let a = -127123 - -127334. Suppose 4*w = 87 + 173. Calculate the remainder when a is divided by w.
16
Let a(l) = l**2 - 19*l - 98. Let s be a(25). Suppose 0 = 2*r - 32 - 32. Let g = s - r. Calculate the remainder when g is divided by 7.
6
Let g(f) = 8*f**2 + 2*f - 7 + 892*f**3 - 891*f**3 - 5*f - 2*f + 15. Suppose 17 = 3*i + 38. Calculate the remainder when g(i) is divided by 19.
16
Suppose -67172 = 23*i - 26*i + 2*h, -h = -2*i + 44782. What is the remainder when i is divided by 49?
48
Let v(r) be the first derivative of r**3/3 + r**2/2 - 4*r - 13. Let c be v(8). Let f = 106 - c. Calculate the remainder when 110 is divided by f.
34
Let j(d) = 9*d - 1. Suppose 5*r - 539 = -6*r. Let y = -46 + r. Calculate the remainder when j(1) is divided by y.
2
Let b(g) = 2*g**2 - g + 2. Suppose -9*d - 704 = -13*d. Let f = d - 172. Calculate the remainder when b(-2) is divided by f.
0
What is the remainder when 1*-4 + (-11)/((-44)/28) + 174 is divided by 47?
36
Let r be (-1 - 1) + 3 + 1. Suppose 3*q - 2 = r*q. Let x = -33008 - -33010. What is the remainder when x is divided by q?
0
Suppose 0 = u - 6*u + 10. Suppose 2*v = -u*v + 320. Suppose m = 13*c - 537, -53*c = -51*c + 3*m - 70. What is the remainder when v is divided by c?
39
Let p(a) = -a**2 + 7*a + 3. Suppose -19*q - 320 = -1099. Suppose -26*s - 345 = -q*s. What is the remainder when s is divided by p(5)?
10
Let u(b) = b**3 + 5*b**2 - 8*b - 8. What is the remainder when 441344/31463 - 4/146 is divided by u(-6)?
2
Suppose i - 235 = -218. Suppose -2*d = 5*l - 137, 0 = 3*d - 4*l - 211 + i. What is the remainder when d is divided by 17?
15
Let h = 23447 - 23388. Calculate the remainder when h is divided by 21.
17
Let q be (3 - 9)*1983/(-6). Suppose 0 = -8*l + 2215 - q. What is the remainder when 549 is divided by l?
27
Suppose 3 - 139 = -2*w. Suppose -107*m + 4663 - 1881 = 0. What is the remainder when w is divided by m?
16
Calculate the remainder when 89*(3 - (-1 + 3)) is divided by (44 + 17640/(-400))*5*-26.
11
Let t = -6252 - -6305. Calculate the remainder when 1/(302/(-101) - -3) is divided by t.
48
Suppose -61*a + 53*a = -4731 + 1275. Calculate the remainder when a is divided by (174/9)/(2/3).
26
Suppose -668*i = -658*i - 260. What is the remainder when 155 is divided by i?
25
Suppose 5*s + 1 = -3*t, 5*s - 2 = t - 5*t. Suppose -4*w + 0*w = -48. Suppose t*b + w = 48. What is the remainder when b is divided by 4?
0
What is the remainder when 2449 is divided by 2/(-24) - 527369/(-2364)?
219
Let z be 11 - (-7)/((-28)/16). Suppose -z = -3*o + 2. Suppose p + 2*m + 12 = 2*p, -3*m = -o. Calculate the remainder when 41 is divided by p.
13
Let o(p) = 122*p**3 - 14*p**2 + 13*p - 1. What is the remainder when o(1) is divided by 32?
24
Suppose 63*f - 77*f = -135338. What is the remainder when f is divided by 11?
9
Let x = -19 - -23. Suppose 20 = -0*h + x*h. Calculate the remainder when -4 + 33/9 - 19/(-3) is divided by h.
1
Suppose 186*z - 152*z - 6902 = 0. Calculate the remainder when z is divided by 130.
73
Let m = -602 + 616. Let u(d) be the first derivative of -123*d**4/4 + 2*d**3/3 + d**2 + d - 7. What is the remainder when u(-1) is divided by m?
12
Let j = -96 + 101. Suppose 4 = j*t - 1. Suppose -3*n + 5 = -o, 4*o - n = 14 - t. Calculate the remainder when 12 is divided by o.
0
Suppose 106*h + 106*h - 214*h = -40. What is the remainder when 235 is divided by h?
15
Suppose -605 = 55*g - 6435. Let w = -101 + g. What is the remainder when 35 is divided by w?
0
Let y(i) = -11*i**2 + 1429*i + 184. Calculate the remainder when 775 is divided by y(130).
19
Suppose 0 = 4*d + 6*d + 4400. Calculate the remainder when 172 is divided by 1/2*d/(-10).
18
Let t(a) = -16*a + 689. Suppose 0 = 5*r + s - 84, 2*r = -3*r - 3*s + 82. Calculate the remainder when t(39) is divided by r.
14
Suppose -2*d + 1 = -3*o - 3, d + o - 7 = 0. Suppose w - 10 = -5*y, w - d*y = 3*w - 25. What is the remainder when 6 is divided by (-20 - 0)*w/(-60)?
1
Suppose p - 2*q + 808 = 0, -3*q = 11*p - 7*p + 3188. Calculate the remainder when p/(-4) - (-17 - -21) is divided by 67.
62
Suppose 1692*a = 1895*a - 12992. Suppose 5*m + 29 = -4*h, -4*m - 16 = 4*h + h. What is 