((-1)/57).
37
Suppose 0 = -3*x + 2*x - 1. Suppose 2 = -2*k - 3*a + 9, 5*a + 80 = 5*k. Calculate the remainder when ((-21)/(-4))/(x/(-4)) is divided by k.
10
Suppose 31*m - 3291 + 98 = 0. What is the remainder when 2878 is divided by m?
97
Calculate the remainder when (-90)/195 + ((-2)/(-6) - 511724/(-39)) is divided by 75.
71
Let w(p) = p**2 - 19*p + 25. Let s be w(18). What is the remainder when ((-2)/s*-217)/((-2)/(-11)) is divided by 7?
5
Let d(o) = o**3 + 15*o**2 - 14*o + 5. Let l(g) = g**3 + 17*g**2 - 15*g + 4. Let y(u) = 3*d(u) - 2*l(u). Calculate the remainder when y(-11) is divided by 48.
43
Suppose 2*a + 4*c = 16, -2*a - 2 = -c + 2. Suppose a = -5*n - b + 1735, 8*n - 12*n + 2*b = -1388. What is the remainder when n is divided by 70?
67
Suppose 1347*t - 94800 = 947*t. Calculate the remainder when t is divided by ((-2)/(-4))/((-2)/(-328)).
73
Let z(f) = -94*f - 3258. Calculate the remainder when 403 is divided by z(-36).
25
Let d(b) = -889*b - 107. What is the remainder when d(-1) is divided by 14?
12
Suppose 0 = 3*g + 135 + 18. Let w = g + 45. What is the remainder when 27 is divided by (14 - 2)*(-4)/w?
3
Suppose 5*z = -2*u + 1303, 5*z = -346*u + 351*u + 1310. Calculate the remainder when z is divided by 154.
107
Calculate the remainder when 315 is divided by (-3 - -2)/(3*(-1)/21) - -55.
5
Suppose 7*d = -4*d + 319. Let g = 94 - -101. Let c = -109 + g. Calculate the remainder when c is divided by d.
28
Let c be (-33)/6*(-4 + 2*-69). Suppose -11*t - c + 3410 = 0. What is the remainder when t is divided by 40?
39
Suppose -4*d = -3*c + 139, 5*d + 3*c = -230 + 63. Suppose 13 = -2*n - 33. Let f = n - d. What is the remainder when 14 is divided by f?
3
Suppose -48 = d + 2*g + 3*g, 3*d = g - 144. Let z = 9 - d. What is the remainder when 120 is divided by z + (3 - 3) + 5?
58
Suppose -n + 304 = 3*n - 4*l, 4*l = 2*n - 162. Let k = n - 41. Let j = 2200 + -2083. Calculate the remainder when j is divided by k.
27
Let d = -32412 + 32651. Let r(p) = 4*p + 2. What is the remainder when d is divided by r(5)?
19
Let b = 581 + -412. Calculate the remainder when b is divided by ((-1680)/64)/((-161)/276).
34
Let r(o) = 1339*o - 5290. Calculate the remainder when 368 is divided by r(4).
38
Let q be (-3)/24*-4*(-346 + -2). What is the remainder when 144 is divided by (-754)/q*12/2?
14
Suppose -5*u = 5*a - 2835, 16*u - 2871 = -5*a + 15*u. What is the remainder when a is divided by 116?
112
Let d(u) = u**2 + 23*u + 13. Let f be d(-23). Calculate the remainder when 74 is divided by (132/15)/(f/65).
30
Suppose -9*p - 309 = 23*d - 26*d, 0 = d - 2*p - 100. What is the remainder when 3477 is divided by d?
93
Let t(m) = -13*m**3 + 10*m**2 - 2. What is the remainder when t(-3) is divided by 112?
103
Let y = 104 - 91. Let m be -2 - y/(39/(-210)). Suppose -6*s + 556 + m = 0. What is the remainder when s is divided by 15?
14
Suppose 929 = 5*i + 4*m, 5*i + 2*m - 557 = 2*i. Suppose i = 3*h - 46. Calculate the remainder when h is divided by 30/(-2)*8/(-3).
37
Suppose 2*f - 2*v = -3*f + 3090, 0 = -v + 5. Let q = f - 507. What is the remainder when q is divided by ((-2)/6)/((-1)/57)?
18
Let a(m) = m**3 + 14*m**2 - 46*m - 68. Calculate the remainder when a(5) is divided by (-2)/2*45/(-1).
42
Let q(c) = c**2 - 73*c + 2198. What is the remainder when q(34) is divided by 143?
14
Let k(b) = 2*b + 4. Suppose 30 = 14*u + u. Let s be k(u). Let i(z) = z**2 - 2*z - 21. Calculate the remainder when i(s) is divided by 16.
11
Suppose 0 = 8*x - 13*x + 30. Suppose -g - 2*q = -12, 3*g + x*q - 46 = 2*q. What is the remainder when 118 is divided by g?
8
Let i(p) = p**3 - 12*p**2 - 10*p + 124. What is the remainder when 226 is divided by i(12)?
2
Suppose 6*p - 84 = -0*p. Let a(m) = m**3 - 22*m**2 + 24*m - 3. Calculate the remainder when a(21) is divided by p.
4
Let j = -290 - -467. Suppose -3*s + 204 = 3*t, -t + 11*s + 52 = 10*s. What is the remainder when j is divided by t?
57
Let w be 33/(-5 - 39/(-6)). Suppose -w*a + 168 = -a. Suppose -5*j = -4*n - 77 + 442, 0 = 3*n + 2*j - 245. Calculate the remainder when n is divided by a.
5
Let q(z) be the second derivative of -z**3/6 + 97*z**2/2 + 58*z. What is the remainder when q(11) is divided by 45?
41
Let s = 236 + 102. Suppose 0 = -9*v - 4*v + s. Calculate the remainder when 68 is divided by v.
16
Let p = 152 - -7. Let q(v) = -v**3 + 5*v**2 + 16*v + 6. Calculate the remainder when p is divided by q(7).
19
Suppose -3956 - 6824 = -0*k - 55*k. Calculate the remainder when k is divided by 103.
93
Let o(p) = 7*p**2 - 18*p + 10. What is the remainder when o(-9) is divided by 368?
3
Let w be (2/((-4)/3))/(108/(-144)). Suppose 5*l = -5*o + 260, -3*o + 2*o + 56 = w*l. What is the remainder when 95 is divided by o?
47
What is the remainder when (0 - (-110)/4)*21552/4490 is divided by (-78)/12*(0 - 2)?
2
Let l(s) = -s**2 - s + 9. Let k be l(6). Let y = k + 38. Suppose 23 = 3*h + 2*g, g - y*g = -3*h - 1. What is the remainder when 7 is divided by h?
2
Let g(j) = -4*j**3 - 12*j**2 - 45*j + 33. Calculate the remainder when g(-13) is divided by 60.
58
Let i(z) = 5*z**3 + 13*z**2 + 24*z + 11. Let o(h) = h**3 + h**2 + 2*h. Let p(j) = -i(j) + 6*o(j). Calculate the remainder when p(9) is divided by 33.
10
What is the remainder when 5242 is divided by ((-14)/21)/(80/(-2280))?
17
Let s = -26165 + 26231. What is the remainder when 669 is divided by s?
9
Suppose 43 + 112 = a. Suppose 160*m = a*m + 110. What is the remainder when m is divided by 15?
7
Suppose -17*j = -3*j - 3490 - 318. Calculate the remainder when j is divided by 130.
12
Let g(l) = -l**3 - 57*l**2 + 51*l - 267. Calculate the remainder when 1945 is divided by g(-58).
138
Suppose 5*i - 3217 = 2*h, 2*i + 25*h - 20*h = 1310. What is the remainder when i is divided by 133?
113
Let q(l) = 8222*l + 41118. Let g = 99 - -162. Calculate the remainder when g is divided by q(-5).
5
Let c = 254 - 885. Let d = -622 - c. Calculate the remainder when 30 is divided by d.
3
Let s(d) = 18*d**2 + 2*d. Let y be -3 + 8 + -1 - (3 + -4). Suppose y*b - 5*c - 70 = -8*c, 2*b - 28 = c. Calculate the remainder when s(-2) is divided by b.
12
Let z(x) = x - 1. Suppose -5*p - 18 - 37 = 0. Let k be z(p). What is the remainder when (k/(-20))/((-92)/(-30) + -3) is divided by 5?
4
Let t = 1252 - 831. Let z = 165 - 80. What is the remainder when t is divided by z?
81
Let i = 41 - 16. Suppose -1037 = -i*h - 237. What is the remainder when 181 is divided by h?
21
Suppose 2*c - 4*c + 24 = 0. Let h = -513 - -250. Let y = 285 + h. Calculate the remainder when y is divided by c.
10
Suppose -5*i + 1903 = 4*t, 19*i - 16*i - 1147 = -5*t. What is the remainder when i is divided by 82?
51
Calculate the remainder when 2632 - (-25)/(675/378) is divided by 13.
7
Let m = -1 + 11. Let f = m + -6. Suppose -r + 0*a + 38 = -2*a, 170 = 4*r + a. Calculate the remainder when r is divided by f.
2
Let m = -16 + 191. Let t = -141 + m. Suppose 3*v + 39 = 6*v - 2*h, -5*v + 4*h = -65. What is the remainder when t is divided by v?
8
Suppose 0 = -3*l + 121*i - 122*i + 84, l - 2*i = 14. What is the remainder when 777 is divided by l?
23
Let j = 10 - 0. Suppose 24 = q + 4*k, 0 = 2*q - k - 3*k + 12. Suppose -g = -q*m - 58, 0 = 2*m - 7*m - 15. What is the remainder when g is divided by j?
6
Suppose -45*a - 825 = 37*a - 31739. What is the remainder when 386 is divided by a?
9
Let j(n) = -13*n - 93. Let k be j(-27). Suppose v + 3*h = 145, 4*h = -2*v + 40 + k. What is the remainder when v is divided by 23?
19
Suppose -8*d + 11*d - 990 = 0. Let n = -233 + d. Calculate the remainder when n is divided by -2*15*2/(-3).
17
What is the remainder when 630 is divided by (-2496)/1152*(-1 - 5)?
6
Suppose 5*j = j + 28. Let d(i) = -26*i + 185. Let k = -8 + 21. What is the remainder when k is divided by d(j)?
1
Suppose r = -3*i - 238, -479 = 4*i - 2*r - 165. Let m = -74 - i. What is the remainder when m is divided by 1?
0
Let t be ((-2227)/(-51))/((-2)/(-36)). Suppose -16*w + 878 = -t. What is the remainder when w is divided by 21?
20
Suppose 0 = 4*t + c + 210, -5*c + 169 = -15*t + 12*t. Let a = t + 122. What is the remainder when a is divided by 59?
10
Let u(m) = 2*m - 27. Let c be u(15). Suppose 7*w - c*w + 16 = 0. What is the remainder when 24 is divided by (w + 2)/(-2) - -4?
4
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