 = -7 + 9. Suppose 3*k + 2*a = 48, -j*k + 3*a - 4*a + 31 = o. What is the remainder when k is divided by 8?
6
Let q = 10 - 8. Let c be 8*(q/(-8))/(18/(-36)). Calculate the remainder when 54 is divided by c/10 - (-68)/5.
12
Let f = -305 - -161. Let v = -229 - f. Let a = -60 - v. What is the remainder when 73 is divided by a?
23
Suppose 7*w - 14*w + 4788 = 12*w. What is the remainder when w is divided by 84?
0
Let i = 28 - 28. Let y be 4 + (i - (-5)/(-5)). Suppose -y*r = w - 6*r - 40, -4*r - 152 = -4*w. Calculate the remainder when w is divided by 11.
4
Suppose -27*s + 28*s - 2 = 0. Suppose 4*r + z = 45, -5*r = z - s - 55. Calculate the remainder when 35 is divided by r.
11
Let k(j) be the second derivative of -1/6*j**3 - 16*j + 6*j**2 + 0 + 1/6*j**4. Calculate the remainder when 143 is divided by k(-4).
47
Let j(v) = -10*v - 93. Let s be j(-10). Suppose 0 = u - 27 - s. What is the remainder when u is divided by 9?
7
Calculate the remainder when 130*(0 - 1/(-3))/((-88)/(-264)) is divided by 101.
29
Let x(w) = 408*w + 94. What is the remainder when x(4) is divided by 13?
10
Let o = 49 + -39. Suppose 2*l - 12 = -3*g, -o = -3*l + l - 4*g. Suppose 0 = -l*x + 1 + 161. Calculate the remainder when x is divided by 12.
6
Let d(g) = -g**2 + 46*g + 49. Let z be d(47). Suppose 7*r - 2 = -y + 5*r, z*y - 40 = 5*r. Let m = -89 - -148. Calculate the remainder when m is divided by y.
9
Let a(l) = -7*l - 121. Let s be a(-18). Calculate the remainder when 152 is divided by (-6)/9*s*(-120)/5.
72
Let b = -4640 + 4654. What is the remainder when 67 is divided by b?
11
Let x = -5 - -11. Suppose 19*p = 14*p. Suppose p*l = -3*b - 2*l + 382, -3*l + 139 = b. Calculate the remainder when b is divided by x.
4
Let l = -226 + 467. What is the remainder when l is divided by 52?
33
Suppose 2*x - c = 591 - 144, -2*x + 4*c = -450. Calculate the remainder when 453 is divided by x.
7
Suppose -6*s + 442 = -5*s. Let h = s + -250. Suppose 10*o - 14*o + h = 0. What is the remainder when o is divided by 13?
9
Let i(b) = b**3 + b**2 + 7*b + 74. Calculate the remainder when 339 is divided by i(0).
43
Suppose -2*d - 23 - 2 = -5*w, 3*w - 15 = 4*d. Suppose -1 = -3*y + m - 0, -5*y - 4*m - 21 = d. Calculate the remainder when (-3 + y - -8) + 41 is divided by 12.
9
Suppose -1143 = 13*x - 22*x. What is the remainder when x is divided by (87 - 1)*3/6?
41
Let x = -6306 + 6328. Let w(i) = 2*i. Let m = 0 - -3. What is the remainder when x is divided by w(m)?
4
Suppose 90*k + 103*k = 47*k + 2044. What is the remainder when 863 is divided by k?
9
Let c = 5 + -1. Suppose 4*m = -c*o - 28, -5*m = 2*o + 25 - 2. What is the remainder when (2896/24)/(2/m)*-1 is divided by 46?
43
Let j = 24705 - 24692. Suppose -q + 280 = 4*q. What is the remainder when q is divided by j?
4
Let f(l) = l**2 - l - 28. Let y be f(7). Suppose 0 = y*v - 12*v - 200. What is the remainder when v is divided by 21?
16
What is the remainder when (3 - 140/44) + 11 + (-2930)/(-22) is divided by (2/1)/((-2)/(-77))?
67
Let s be ((-10)/(-6))/(30/54). Suppose -30 = -2*n - 4*z, 4*z = 4*n + s*z - 24. Calculate the remainder when 67 is divided by n.
4
Suppose -3*l = 2*l - 990. Suppose -2*a - 206 = -5*t, 48*a = 3*t + 51*a - 111. What is the remainder when l is divided by t?
38
Let x be -1*(-2)/(4/38). Let h = x - 20. Calculate the remainder when 141 is divided by (h - 0/(-1)) + 1400/56.
21
Suppose -4*t = -4, -3*t + 87 = 5*k - t. Let h(r) = -r**2 + 17*r + 2. Let y be h(k). Suppose y*g - 461 = -139. What is the remainder when g is divided by 41?
38
Suppose 61612 + 47499 = 429*y + 11299. Calculate the remainder when 880 is divided by y.
196
Suppose 0 = 6*u + 1210 + 4610. Let y be 1 - 1/(5/u). Suppose -y = 11*v - 525. What is the remainder when v is divided by 7?
2
Suppose -5*s + i - 143 = 0, 0*s - 155 = 5*s - 5*i. Let n = 195 + -113. Calculate the remainder when n is divided by ((-6)/(-4))/((-2)/s).
19
Suppose 1263*h - 9350 = 1178*h. Calculate the remainder when 3079 is divided by h.
109
Suppose -231 - 549 = -39*y. Suppose 0 = 5*h + y, 6*h + 10 + 73 = m. Calculate the remainder when 125 is divided by m.
7
Let y(z) = -z**2 - 19*z + 23. Let x be y(-20). Suppose 0 = u + d - 2 - 2, 5*u + x*d = 20. Calculate the remainder when u is divided by 3.
1
Suppose 0 = -3*q - 3*q + 2058. Suppose -4*t - 3*t + q = 0. Suppose 0 = t*b - 44*b - 55. Calculate the remainder when 51 is divided by b.
7
Let z = -25 - -25. Suppose 5*l - 49 = -3*q, -2*q + 3*l - 2 + 3 = z. Calculate the remainder when 53 + 0 - (3 - (2 + 2)) is divided by q.
6
Let l = -75 + 86. Suppose 1576 = -l*t + 4788. Suppose t - 34 = 2*p. Calculate the remainder when p is divided by 11.
8
Let j(a) = 2*a**2 + 61*a - 636. What is the remainder when 4885 is divided by j(-39)?
25
Suppose 0 = 15*m - 5*m - 1400. Calculate the remainder when m is divided by 12.
8
Suppose -18*u + 1120 = -16*u. Suppose p - 552 = -4*h - 2*p, -4*h - 5*p = -u. Calculate the remainder when h is divided by 37.
24
Let c = 1369 + -1283. What is the remainder when 266 is divided by c?
8
Let z(j) = 101*j + 4889. Calculate the remainder when 121 is divided by z(-48).
39
Suppose -2*w - 3*w = -2*q - 34, 5*q + 85 = -3*w. Let o = 41 + q. Calculate the remainder when 3*92/(-6)*-1 is divided by o.
22
Let y be (-24)/56 - (-1638)/49. Suppose x = 5*i - 44, 0 = -3*i + 4*x - 10 + y. What is the remainder when 274 is divided by i?
4
Let d = 12178 + -11991. What is the remainder when 2051 is divided by d?
181
Let p(r) = -12*r + 807. What is the remainder when p(20) is divided by 95?
92
Let b = -14408 + 14521. Calculate the remainder when 1033 is divided by b.
16
Let s be -3 - ((8 - 9) + -2*1). Suppose s = 13*o - 8*o - 20. Suppose 3*m = o*m - 108. Calculate the remainder when m is divided by 11.
9
Let x(l) = -19*l + 878. Suppose 0 = h - 6 - 30. Calculate the remainder when x(35) is divided by h.
33
Let s(l) = 2*l**2 + 58*l - 762. What is the remainder when s(12) is divided by 40?
22
Let w(r) = 5*r**3 - 4*r + 3. Let b be w(2). Suppose 0 = -4*m + b + 21. Suppose 0 = -27*s - 52 + 160. Calculate the remainder when m is divided by s.
2
Let l(k) = -2*k**3 + 9*k**2 + 4*k + 17. Let m = -68 + 127. Calculate the remainder when m is divided by l(5).
11
Suppose 0 = -3*h - 21, 463*h - 605 = -3*b + 462*h. What is the remainder when 240 is divided by b?
36
Suppose -2*z - 83 + 199 = 0. Calculate the remainder when 267 is divided by z.
35
Let d = -2572 - -3149. Calculate the remainder when d is divided by 170.
67
Suppose -5*x + 30 = -0*f + 5*f, -x = -5*f - 18. Let c(u) = -u**3 - 11*u**2 + 14. Suppose 80*d - 83*d = 33. What is the remainder when c(d) is divided by x?
6
Suppose -709*k - 13242 = -23312 - 14745. Let c = 166 - -113. What is the remainder when c is divided by k?
34
Let t = 2985 + -1226. What is the remainder when t is divided by 126?
121
Suppose -25*f - 402 = -1677. Let q(c) be the third derivative of c**4/12 - 5*c**3/6 - 2*c**2. Calculate the remainder when f is divided by q(7).
6
Calculate the remainder when 1209 is divided by (10/15)/(95/45 + -2).
3
Suppose -35*q + w + 381 = -31*q, 396 = 4*q + 4*w. Calculate the remainder when 210 is divided by q.
18
Suppose -5*h = -2*q + 267 + 351, 0 = -3*q - h + 893. Calculate the remainder when 599 is divided by q.
1
Suppose -10*m + 6 + 24 = 0. Suppose 0 = 3*q + 6*w - m*w - 297, 0 = 5*q + 3*w - 497. Calculate the remainder when q is divided by 13.
9
Let i = -40183 - -40417. What is the remainder when 2824 is divided by i?
16
Let u = 5475 + -5186. What is the remainder when 876 is divided by u?
9
Let l(s) = s**2 + 6*s - 78. Let d be l(9). Suppose -636*o = -635*o - d. What is the remainder when o is divided by 27?
3
Let x be 14/(-4)*(-11 - -27). Calculate the remainder when 34 is divided by -2*(0 - -2)*182/x.
8
Let f(n) = n**2 + 116*n + 3900. What is the remainder when f(-78) is divided by 145?
66
Calculate the remainder when 174 is divided by ((-44)/5)/((-48)/(-3840)*-8).
86
Let c(m) = -399*m - 1184. Calculate the remainder when 172 is divided by c(-3).
3
Suppose -o - 2*o - 10 = -2*s, 4 = 2*o. Let l be -6 + 2 + (11 - (0 + 2)). Suppose -a = 4*a + 15, -c + 37 = -l*a. Calculate the remainder when c is divided by s.
6
Let v(h) = h**3 - 13*h**2 + 2*h - 27. Let y be (2/8*2)/(7/182). Let z be v(y). What is the remainder wh