 Calculate the remainder when 10040 is divided by z.
58
Let b(m) = 37*m**3 - 3*m**2 - 5*m. Let s(v) = v**3 - v**2. Suppose 49*a - 12 = 51*a. Let q(k) = a*s(k) + b(k). What is the remainder when q(2) is divided by 28?
26
Suppose 0 = -3*a - 15, -r = -4*a - 12 - 11. Let y be 392/(-2) + r - -1. Calculate the remainder when 17 is divided by ((-4)/5)/(-2) + y/(-20).
7
Suppose 2*r + 2*t - 16 = -2*r, 4*r - 3*t - 26 = 0. Calculate the remainder when 406 is divided by r.
1
Suppose -17*v + 16 = -21*v. Let k be 5*v*3/(-12). Suppose -3*d + 3*b + 60 = -0*d, -k*d + 88 = b. Calculate the remainder when 34 is divided by d.
16
Let i = -11675 + 11845. What is the remainder when i is divided by 1?
0
Suppose -2*a = -5*r + 2563, -4*a + 0*a - 1022 = -2*r. What is the remainder when r is divided by 59?
41
Suppose 108*c - 103*c - 36062 = -b, 3*c - 5*b = 21598. Calculate the remainder when c is divided by 111.
107
Let r(s) = -5*s**2 + 26*s + 2. Let b be r(5). Let f(m) = -m + 28. Calculate the remainder when 42 - (1 - 2 - -4) is divided by f(b).
18
Suppose o - 38*c + 42*c - 15493 = 0, -5*c = 2*o - 30989. Calculate the remainder when o is divided by 378.
377
Let u be (-34)/(-4) - (-3)/(-2). Suppose u*r - 11*r = -108. Let t = 320 + -186. Calculate the remainder when t is divided by r.
26
Let z(l) = 181*l + 2202. What is the remainder when 678 is divided by z(-12)?
18
Let y(i) = i**3 - 12*i**2 + 28*i + 45. What is the remainder when 2261 is divided by y(8)?
12
Suppose k = -103 + 118. Let a = 251 - 247. What is the remainder when k is divided by a?
3
Suppose -5*d + 1819 = -21*d + 32427. What is the remainder when d is divided by 213?
209
Let v = -43 + 58. Suppose 13*c = v*c. Suppose -f + 12 + 23 = c. What is the remainder when f is divided by 20?
15
Let d(a) = -127*a - 63*a**3 - 40*a**3 + 3 + 102*a**3 + 23*a**2. What is the remainder when d(12) is divided by -2 + 1 - -7*1?
3
Suppose 156 = g - 2*v, -686 + 47 = -4*g + 3*v. Suppose -397*r + 159 = -392*r + h, 5*h = 5*r - 195. Calculate the remainder when g is divided by r.
30
Let u be (-17)/(-3)*(9 + -6 + 0). Suppose -2 + u = 3*c. What is the remainder when 213 is divided by c?
3
Let a(y) = 5*y**2 - 7*y - 118. Let l be a(-5). Let o be -1*(-11)/1*-3. Let v = l + o. What is the remainder when 70 is divided by v?
7
Suppose 27*l + 223 = 26*l. Let k = -213 - l. Calculate the remainder when 23 is divided by k.
3
Suppose d + 3*k - 2534 = 0, -12634 = -80*d + 75*d + 3*k. Calculate the remainder when 5061 is divided by d.
5
Let a(l) = -48*l - 5555. What is the remainder when 9103 is divided by a(-119)?
154
Let i be (-36)/14*(-56)/3. Let r = 51 - i. Calculate the remainder when 45 is divided by 19*1 + (-9)/r.
13
Suppose 4*z - 82 - 816 = 710. Calculate the remainder when 1221 is divided by z.
15
Let i = -230 + 221. Calculate the remainder when 156 is divided by (-1752)/(-32) + (i/12 - -1).
46
Suppose -976*k + 8770 + 7310 = -9296. What is the remainder when 298*3/12*2 is divided by k?
19
Suppose 5*s - 130 = -5*f, 2*s = s + 3*f + 6. Suppose -28*g + 3162 = 34*g. What is the remainder when g is divided by s?
9
Let u(z) = 2*z**2 + 66*z - 41. Let t = 99 + -133. Calculate the remainder when u(t) is divided by 14.
13
Let l(p) = p**2 - 14*p + 35. Calculate the remainder when ((-48)/(-120))/(6/(-10))*-519 is divided by l(14).
31
Let k = 31 + -31. Suppose -n + 24 = -4*u, k*u - 23 = u + 4*n. What is the remainder when 94 is divided by (15 + u)/(1/2)?
14
Let l be 0/((-3)/(-3))*(-6 - -5). Let a(g) = -g**3 - g**2 + g + 65. Calculate the remainder when a(l) is divided by 18.
11
Suppose 0 = 4*x + 4*m - 92, m = 3*x - 6*x + 69. What is the remainder when 201 is divided by x?
17
Suppose -2*u = 2*u + 4*w - 36, 4*w = 5*u - 81. Calculate the remainder when 2806 is divided by u.
11
Suppose 32*v + 114938 - 120218 = 0. Calculate the remainder when v is divided by 84.
81
Let p(r) = 13*r**2 - 108*r - 108. What is the remainder when 180 is divided by p(-1)?
11
Suppose 0 = -14*h + 17*h - 54. Let w be (-6)/(-27) + (0 - (-264)/27). Suppose 0 = -6*n + 8*n - w. Calculate the remainder when h is divided by n.
3
Let s(i) = i**2 - 39*i - 28. Let h be s(41). Suppose 3*b = 5*z - 86 - 4, 0 = 3*z - b - h. Calculate the remainder when 67 is divided by z.
13
Let q be (4 + -5 - 4)*(-18)/10. Let z(f) = -q - 299*f**2 - 5*f - 3*f + 298*f**2. Calculate the remainder when 21 is divided by z(-5).
3
Suppose 5*f - 2241 = m, -1864 + 71 = -4*f + m. Calculate the remainder when f is divided by 168.
112
Let q be 6/(-15) - (-2 + 141/(-15)). Suppose -q*g + 275 = -0*g. Calculate the remainder when 96 is divided by g.
21
Suppose -1103*m = -1121*m + 918. Calculate the remainder when 242 is divided by m.
38
Suppose -s - 383 = -t + s, 4*t - 5*s = 1547. Suppose 0*c + 3*j + t = 3*c, 3*j + 645 = 5*c. Let a = c + -52. Calculate the remainder when a is divided by 19.
17
Let s(j) = -4*j**2 + 189*j - 129. What is the remainder when s(45) is divided by 236?
40
Suppose 2*l + 104 = -2*l. Let g = 78278 + -78228. What is the remainder when g is divided by l/(2/(-3 - -1))?
24
Let x = -51 + 59. Suppose -11*z = -12*z - x. What is the remainder when 38 is divided by (-174)/z + (-18)/24?
17
Let a(l) = l**2 - 5*l + 2. Let y = -218 - -480. Let v = y - 252. What is the remainder when a(-4) is divided by v?
8
Suppose 2*i + r - 281 = 0, 0*r + 5*r + 441 = 3*i. Suppose -i = -11*u - 21. Calculate the remainder when 118 is divided by u.
8
Suppose -y + 5*z - 12 = 0, 8 = y + 6*z - z. Let h = -2 - y. Suppose -2*m + d + 58 = -16, -m - 5*d + 48 = h. Calculate the remainder when 110 is divided by m.
34
Let p(r) = -r**2 - 38*r - 87. Let o be p(-30). What is the remainder when 30 is divided by 34/o - ((-1725)/(-27))/(-5)?
4
Suppose -599 = 12*t - 5303. Calculate the remainder when t is divided by 64.
8
Suppose 3105 = -15*a + 12345. Suppose -160*r - a = -167*r. Calculate the remainder when r is divided by 31.
26
Let w be (6 - 4) + 13 - 0. Suppose -3*n + 324 = w*n. Suppose -22*b - 12 = -25*b. What is the remainder when n is divided by b?
2
Let l = 72 + -64. Suppose -l*v - 3*c + 5 = -9*v, 33 = 3*v + 3*c. What is the remainder when 39 is divided by v?
4
Suppose 2 = 4*n + 5*t, -n - 3*t + 2 = -t. Let d = -2015 - -2011. What is the remainder when (108/(-10))/(d/30) - n is divided by 14?
13
Suppose -2*h = -q + 30, -4*q + 18 = 4*h - 42. Suppose q = 4*t - 28. What is the remainder when t is divided by 5?
2
Let p be 100/550 - 62/(-22). Suppose 4*a + 92 = 4*r, -58*r + 57 = -55*r + p*a. What is the remainder when 164 is divided by r?
17
Let v = -3124 + 4152. What is the remainder when v is divided by 94?
88
Let f be 2/(-6)*(-126)/7. Let b be (-9)/f*(-220)/30. Suppose 6*h + 55 = b*h. Calculate the remainder when 20 is divided by h.
9
Let v = -14390 + 14557. Calculate the remainder when 1328 is divided by v.
159
Let o(q) = -30 + 3075*q - 3072*q - 15. Let d(p) = -p**3 - 7*p**2 + 7*p + 10. Let s be d(-8). Calculate the remainder when 26 is divided by o(s).
8
Let i = -355 - -357. Suppose -i*d + 0*d = -m + 371, 4*m - 4*d = 1496. Calculate the remainder when m is divided by 95.
92
Let y = 20188 - 20163. Calculate the remainder when 592 is divided by y.
17
Let k(a) = 3*a**3 + 40*a**2 + 16*a - 9. Let j = -124 + 112. What is the remainder when k(j) is divided by 54?
51
Let h be 135/(-30)*-2*(-3)/9. What is the remainder when 42 is divided by 1/h*(-34 - -1)?
9
Suppose 2*q - 3*m - 728 = 0, 3*m + 1442 = 4*q + 4*m. Suppose q*b = 355*b + 390. Calculate the remainder when 128 is divided by b.
63
Suppose 79*w - 82*w = -1173. Let d = 604 - w. What is the remainder when d is divided by 12?
9
Suppose -356 = -6*x - 224. Let v = -1 - -5. Suppose 232 = 2*q - 0*m + v*m, -4*m = -q + 92. Calculate the remainder when q is divided by x.
20
Suppose -3*b - 2265 = -5*n, -b = 2*n - 842 - 64. What is the remainder when 1033 is divided by n?
127
Suppose 3828*y - 322 = 3821*y. Calculate the remainder when y is divided by 38.
8
Let w(q) = -43*q + 51. Let x be w(-5). Let c = 276 - x. What is the remainder when 69 is divided by c?
9
Suppose 57*m = 58*m - 11 - 157. Calculate the remainder when m is divided by 10.
8
Let k(a) be the first derivative of a**4/4 - 2*a**3/3 - 5*a**2/2 + 18*a + 41. What is the remainder when k(5) is divided by 34?
0
Calculate the remainder when (14/3)/((-