-684) - -5). Suppose -4*j = 2*j - z. Calculate the remainder when j is divided by q.
34
Let p be 1 + (-6)/((-6)/1031). Suppose 200 = 22*l - p. Calculate the remainder when l is divided by 21.
14
Suppose 19 = -3*a + 82. What is the remainder when 104 + (-2 - -3 - 1) is divided by a?
20
Suppose 286 = -5*z - 2*r, r + 98 = -4*z - 132. Let u = -100 - z. Let k = 64 + u. Calculate the remainder when k is divided by 12.
10
Suppose -17 + 173 = 3*q. Let u = -9178 - -9385. What is the remainder when u is divided by q?
51
Let w(i) = 5*i**3 + 18*i**2 + 38*i - 23. Let n(y) = 2*y**3 - y**2 + y. Let h(g) = 2*n(g) - w(g). Calculate the remainder when 137 is divided by h(-18).
22
Let x be 14 - (15 - 30/5). Suppose 152 = 3*y + x*i - 558, -y = -3*i - 260. Calculate the remainder when y is divided by 72.
29
Let g(s) = 2*s**2 - 66*s - 270. Let z(t) = 2*t + 45. Calculate the remainder when z(11) is divided by g(37).
15
Suppose -81*q + 12 = -85*q. Let v(p) = 6*p**2 - 7*p - 1. What is the remainder when v(q) is divided by 6?
2
Let h(g) = g**3 - 20*g**2 + 20*g - 12. Suppose -5*b = 22 - 117. What is the remainder when (-49 + 1)*(1 + -2) is divided by h(b)?
6
Let c(b) = b**2 - 8*b - 59. Let j be c(14). Suppose 0 = -4*v - 5*y + 585, 4*y + 1 - 5 = 0. What is the remainder when v is divided by 1*j*21*28/490?
25
Let h(r) = 4*r**2 + 30*r + 22. Let t be h(-6). Let a(v) = -7*v**2 - 7*v**2 + 28 - 3*v**3 + 2*v**3. What is the remainder when 55 is divided by a(t)?
27
Let h(k) = 3*k**2 - 38*k + 53. Let g(v) = v**3 - v**2 - 32*v + 7. What is the remainder when h(13) is divided by g(-5)?
15
Let m(j) = -45*j**2 - 232*j - 17. Calculate the remainder when 2262 is divided by m(-5).
12
Suppose 15*l = -0*l + 255. Suppose -6*m + l*m - 1089 = 0. What is the remainder when m is divided by 18?
9
Suppose 0 = -6*f + 9*f. Calculate the remainder when 130/(-30)*-15 + 4 + f is divided by 19.
12
Let j(v) = -21*v - 76. Let h be j(-14). Suppose -3*i = -263 + h. What is the remainder when 219*-1*3/(-9) is divided by i?
13
Let i = -27316 + 28074. What is the remainder when i is divided by -4*3/3*-10?
38
Let j = 3574 - 3570. Calculate the remainder when 130 is divided by j.
2
Let t = 11302 + -8761. Calculate the remainder when t is divided by 23.
11
Suppose -593*w + 78178 = 24215. Calculate the remainder when 3275 is divided by w.
90
Let b be 27 - ((-54)/(11 - 5) + 4). Suppose -p + b = 3*l - 6, 4 = l - 4*p. Calculate the remainder when 83 is divided by l.
11
Let u be (-1)/((-5)/45) + -5. Suppose u*v = -2*l + 66 + 176, 0 = 3*v + 4*l - 189. What is the remainder when v is divided by 24?
11
Suppose 3*o + 67 = 2*s, 3*s - 59 - 9 = -2*o. Suppose -13*j + 499 = 5*k - 331, 0 = 3*j - 15. Calculate the remainder when k is divided by s.
23
Let f(k) = 2*k**3 - k**2 + 22*k - 20. Let u be f(8). Suppose -2*x - 5*p + 558 = 0, 2*x - 2*p + u = 6*x. What is the remainder when x is divided by 28?
27
Calculate the remainder when 138 is divided by (-16 - 6813/(-72)) + (-3)/(-8).
59
Suppose 14833*d - 14873*d + 5040 = 0. Calculate the remainder when 333 is divided by d.
81
Suppose -100*q + 66*q + 170 = 0. Calculate the remainder when (-3)/(-4) + ((-1764)/(-16) - 3) is divided by q.
3
Suppose -3*p + 445 = 4*n - 9*n, -5*n + 20 = 0. Calculate the remainder when p is divided by 16.
11
Suppose 97*l = -51*l + 18730 + 26114. Calculate the remainder when 1253 is divided by l.
41
Let m(u) = 3*u**3 - 57*u**2 + 2*u + 82. What is the remainder when 457 is divided by m(19)?
97
Let j = 10630 + -10488. What is the remainder when 404 is divided by j?
120
Let r = 0 - -9. Suppose -123 = -6*b - r. Suppose 5*z - c = 41, -2*c + 38 = 4*z + z. Calculate the remainder when b is divided by z.
3
Let k = 2129 + -1930. What is the remainder when k is divided by 46?
15
Let k = 217 + -217. Let m(c) = -9*c + 18. What is the remainder when 25 is divided by m(k)?
7
Let j(q) = q**3 - 3*q**2 - 11*q + 5. Let g be j(5). Suppose g = 7*z - 4*z - 318. Let f(b) = -23*b + 156. Calculate the remainder when z is divided by f(6).
16
Let j be ((-12)/(-9))/(-1*(-3)/(-9)). Let s(r) = -r**2 - 3*r - 1. Let b be s(j). What is the remainder when (15/3)/b*-63*1 is divided by 16?
15
Suppose -2*n - 5*y - 103 = -26, 0 = y + 5. Let r = 71 + n. Let l(i) = 7*i**2 - 165*i - 164. Calculate the remainder when r is divided by l(-1).
5
Let p = -15018 + 15582. What is the remainder when p is divided by 26?
18
Let j(q) be the second derivative of -q**5/20 + 13*q**4/12 + 8*q**3/3 - 12*q**2 - 35*q. Calculate the remainder when 4 is divided by j(14).
0
Let m(z) = 5*z + 1. Let y be m(-1). Calculate the remainder when 71 is divided by (-1)/((-158)/(-40) + y).
11
Let t = 3218 - 3101. Calculate the remainder when 249 is divided by t.
15
Suppose 45*g + 85 = 62*g. Suppose -2*l - g*i + 86 = -10*i, 5*l + i = 215. Calculate the remainder when l is divided by 8.
3
Suppose 4*c + 6 = g - 9, -5*g + 60 = -5*c. Suppose -g = -2*o + 7. What is the remainder when (o + -30)*(-7)/3 is divided by 4?
1
Suppose 73 = -57*s - 212. What is the remainder when (((-42)/s)/1)/(6/195) is divided by 70?
63
Let n(b) = 5*b**3 - 10*b**2 + b + 14. What is the remainder when n(5) is divided by 50?
44
Suppose -77*x - 185*x + 140 = -1694. What is the remainder when 46 is divided by x?
4
Suppose q - 3*z - 74 = 0, 4*q + 0*z - 340 = z. Suppose 5*g + 3*t - 76 = 0, -4*g - t = 21 - q. Calculate the remainder when 31 is divided by g.
14
Suppose -5*m = 2*i - 87, -170 - 100 = -5*i + 5*m. Calculate the remainder when 1435 is divided by i.
7
Suppose 0 = -4*t - q + 28, 3*t - t - 3*q = 0. Suppose t*m = 19*m - 234. What is the remainder when 194 is divided by m?
14
Let y = 3977 + 11000. Calculate the remainder when y is divided by 71.
67
Let v(n) = -1 + 26*n**2 + 80*n - 80*n. Let u be v(-1). Suppose -27 = -5*f - 4*t - 2, 0 = -5*t + u. What is the remainder when 7 is divided by f?
0
Suppose 366 = s + 2*k - 446, 0 = -5*s + 4*k + 4158. Calculate the remainder when s is divided by 10.
6
Let p = -174 - -312. Suppose -q - q - p = 0. Let n = -32 - q. Calculate the remainder when n is divided by 13.
11
Let z(c) = -74*c + 5775. What is the remainder when z(62) is divided by 24?
11
Let u be (-4)/16 + 19475/(-20). Let s = -480 - u. Calculate the remainder when s is divided by 45.
44
Suppose 403 = 17*p + 8*p - 12*p. Calculate the remainder when 5713 is divided by p.
9
Let l = -176 - -181. Suppose 14*i - l*i = 1323. What is the remainder when i is divided by 30?
27
Suppose 25*u = 505 + 2995. What is the remainder when u is divided by 83?
57
Let d = -27740 - -27758. What is the remainder when 125 is divided by d?
17
Let l(m) = -m + 115. Let z be l(24). Let n(j) = j**3 - 8*j**2 - 9*j + 8. Let x be n(9). Suppose -x*q + q + z = 0. What is the remainder when 22 is divided by q?
9
Suppose -3*q - 27*z + 991 = -25*z, 2*z - 1657 = -5*q. What is the remainder when q is divided by 67?
65
Let q(l) = -17*l + 9. Let u = 432 + -434. What is the remainder when 125 is divided by q(u)?
39
Suppose 105 = 3*n - 141. Suppose -2*w + 131 = 5*c, -2*c + 552*w = 551*w - 38. What is the remainder when n is divided by c?
13
Suppose o - 26 + 7 = 0. Suppose -88*b + 7 = -87*b. Suppose -5*v + b*v - 3*y - 65 = 0, 0 = y - 1. Calculate the remainder when v is divided by o.
15
Suppose 2197 = -47*a - 999. Let z = a - -109. Suppose 3*j = 7*i - 2*i - 51, 5*i = -j + 43. What is the remainder when z is divided by i?
5
Let f = 77 + -14. Suppose 5*t = -3*p + 1164, t + 3*p - 471 = -t. Suppose -t = -20*d + 429. Calculate the remainder when f is divided by d.
30
Suppose -2*j - 5*h = 458 + 389, 0 = -j + 4*h - 391. Let m = -133 - j. Calculate the remainder when m is divided by 71.
65
Let o = 32 + -33. Let x be -109*(-4)/(o - -5). Suppose -4*i = -20, -4*b - 3*i + x = -2*b. Calculate the remainder when b is divided by 17.
13
Let n(s) = s**3 - s + 6. Let v be n(0). Suppose -95 = -f - 5*a, v*a + 88 = f + 4*a. What is the remainder when 168 is divided by f?
78
Suppose 5*u - 952 = -4*o, -4*u - 5*o + 762 = -2*o. Let c = 271820 + -271728. What is the remainder when u is divided by c?
8
Let y(w) be the first derivative of 4*w**3/3 + 2*w**2 + 6*w + 110. What is the remainder when y(-4) is divided by (0 + 9 + 2)/1?
10
Suppose 3*u - 45 = -2*u. Let q = -27207 - -27211. What is the remainder when u is divided by q?
1
