 is divided by 17.
15
Suppose 5*y - y - 60 = 0. Let r(v) = v**3 + 7*v**2 - 22*v + 97. Calculate the remainder when r(-9) is divided by y.
13
Suppose 4*u - 4*s = 136, 0 = -3*u + 2*s - 7*s + 86. Calculate the remainder when 432 is divided by u.
16
Suppose 0 = 2*k - 253 - 391. Suppose 0 = r - 2*m + 41 + 69, 0 = -3*r - 2*m - k. Let y = r + 189. Calculate the remainder when y is divided by 21.
18
Let n = 146 + -99. Let z = 12 + -13. What is the remainder when n is divided by ((-38)/19)/(z/6)?
11
Let k(s) = -107*s**2 - 37*s + 16. Let v(r) = 72*r**2 + 25*r - 11. Let x(g) = -5*k(g) - 7*v(g). What is the remainder when 265 is divided by x(1)?
37
Let c = 5156 + -5140. What is the remainder when 74 is divided by c?
10
What is the remainder when 7/((-91)/(-13)) + 254 is divided by 64?
63
Let c(x) = 73*x + 10128. Calculate the remainder when 1612 is divided by c(-132).
136
Let m = 9513 - 9455. Calculate the remainder when 1621 is divided by m.
55
Suppose 5*t + 3*t = -64. What is the remainder when 16/60*6*(-460)/t is divided by 47?
45
Suppose 114*m = -7*m + 4719. Calculate the remainder when m is divided by 16.
7
What is the remainder when 49 is divided by (60 - -4)/(9/(9/2))?
17
Let z = -17 + 17. Suppose z = -17*l + 18*l - 200. Suppose -b = -3*b + 10, 3*k - l = -4*b. Calculate the remainder when k is divided by 13.
8
Suppose -6*o - 128 = -2*k - 2*o, 3*k - 186 = 4*o. Let i be (-145)/k*(-18)/5. Suppose -i*v + 42 = -2*v. What is the remainder when 35 is divided by v?
5
Let t = -2191 + 2256. What is the remainder when t is divided by 33?
32
Let u(i) = 2*i**3 - 9*i**2 - 4*i + 525. What is the remainder when 1591 is divided by u(0)?
16
Suppose -134208 = 12*x - 84*x. What is the remainder when x is divided by 621?
1
Let o(p) = 2*p**3 - 175*p**2 + 43*p + 3866. Suppose -5*k + 119 = 4*r - 469, 3*r = 4*k - 489. Calculate the remainder when k is divided by o(87).
6
Let x(m) = -m**2 - 6*m + 77. Let u be x(6). Suppose -5*s = -4*b - 268 - 17, -u*s = 3*b - 285. What is the remainder when 219 is divided by s?
48
Suppose -140*f - 220*f = -348840. What is the remainder when f is divided by 199?
173
Let w(x) = -x**3 + 11*x**2 - 4*x - 25. Let m be w(11). Let f = 111 + m. Let z(y) = 4*y**2 - 2*y - 5. Calculate the remainder when f is divided by z(-2).
12
Suppose -3*z = 5*s - 399, z + 113 = 2*z + 5*s. What is the remainder when 3143 is divided by z?
140
Suppose 201*s = -168*s - 458*s + 46958714. Calculate the remainder when s is divided by 48.
46
Suppose 36*t - 223 = 33*t - 2*v, t - 3*v = 78. Calculate the remainder when t is divided by 3.
0
Suppose 0 = 51*d - 50*d - 278. Let i = -324 + 371. Calculate the remainder when d is divided by i.
43
Suppose 193*l + 139830 - 1654494 = 0. What is the remainder when l is divided by 302?
298
Let p = 26 - 26. Let y = 19 - p. Suppose 11 = 2*k - y. Calculate the remainder when 58 is divided by k.
13
Let k(l) = -l**3 + 10*l**2 - 4*l - 1. Let s be 10/(80/(-6))*-12. What is the remainder when 172 is divided by k(s)?
40
Suppose 21 = 4*v + 3*f, 3*v + f = 2 + 20. What is the remainder when (-928)/(-28) + -2 + (-96)/(-112) is divided by v?
5
Let j = 15786 + -15399. What is the remainder when j is divided by 30?
27
Suppose -38*l + 31*l = -42. Calculate the remainder when ((-10)/l)/(9/(-216)) is divided by 3.
1
Let a be (-6)/((-4)/4 + 2/8). Suppose 31*p - a = 30*p. Let i = -31 + 61. Calculate the remainder when i is divided by p.
6
Let h(t) = -25*t**2 + 504*t - 4. Suppose -5*d + 2*v = 3*v - 3406, 0 = 4*d - 4*v - 2720. What is the remainder when d is divided by h(20)?
73
Suppose -7*v + 20 = -11*v - 5*i, 0 = -5*v - 3*i - 12. Suppose 5*b = -2*f + 877, -2*f + 853 = -v*f - 3*b. What is the remainder when f is divided by 54?
53
Let f(z) = 9*z + 9. Let n(h) = 4*h - 35. Let j be n(10). Calculate the remainder when f(j) is divided by 15.
9
Let s(k) = 1. Let p(i) = 2*i**2 - 5*i - 2. Let j(u) = p(u) + 2*s(u). What is the remainder when j(4) is divided by 5?
2
Suppose -349 = 220*q - 221*q. Suppose 9*b - 83 = q. Calculate the remainder when 135 is divided by b.
39
Let c(w) = -5*w + 2. Let g be -2 + ((-9)/(-3) - 1). Calculate the remainder when c(-7) is divided by (1 + 7 - 6)*(g - -2).
1
Let y = 36 + -34. Suppose y*t = 39 + 91. Calculate the remainder when t is divided by 33.
32
Let i be -2*4/48 + 14046/36. Let w = -366 + i. What is the remainder when 67 is divided by w?
19
Let s = 29 + -19. Let m be -1*-79*(-2 + 3). Let j = 81 - m. What is the remainder when s is divided by j?
0
Let o(u) = 2*u**2 + 17*u - 25. Let n be o(-10). Suppose -y + 15 = -n*g, y - 8*g + 11*g = 7. What is the remainder when 31 is divided by y?
1
Let y be (-1)/(-2)*(-1 + -9) + 21. Suppose -22*i = -y*i - 636. What is the remainder when i is divided by 10?
6
Let m(v) = v**3 + 13*v**2 + 11*v + 3. Let g be (1 - -1)*(5 + -4 + 47). Suppose -2*j - 6*j = g. What is the remainder when m(j) is divided by 3?
0
Suppose m + 0*m = 91. Let c = m + -27. Let n(t) = -72*t**2 + 1797*t + 92. What is the remainder when c is divided by n(25)?
13
Let h(a) = -3*a**3 - 3*a**2 - 57*a - 209. Calculate the remainder when h(-4) is divided by 14.
9
Let h(t) = 30*t - 187. Let b(r) = -301*r + 1869. Let z(d) = 2*b(d) + 21*h(d). What is the remainder when 205 is divided by z(8)?
30
Let t = 53 - 3. Let n = t + -24. Suppose 3*z - n = -8. Calculate the remainder when z is divided by 2.
0
Suppose 36*y - 616 = 22*y. Suppose 0 = -5*d + 143 + 117. Suppose y = 2*b - d. What is the remainder when b is divided by 13?
9
Let x(k) = -10*k - 92. Let p be x(-11). Calculate the remainder when (-1721)/p*-2 - 32/144 is divided by 48.
47
Let f be (-114)/(-21) - 27/63. Suppose -f*u + 167 = 137. What is the remainder when 9 is divided by u?
3
Let n be (-493 + 37)/(-1 - -2). Let y = 490 + n. What is the remainder when 201 is divided by y?
31
Let n = -30959 + 31046. What is the remainder when 2086 is divided by n?
85
Let n(c) = 420*c + 2113. Calculate the remainder when 1323 is divided by n(-5).
10
Suppose 0 = -71*q + 67*q + 32. Let y be 102/q - (-3)/12. Suppose 0 = y*w - 26*w + 247. What is the remainder when 75 is divided by w?
18
Let p(b) = 115*b - 94. Let x(n) = -113*n + 95. Let q(g) = -3*p(g) - 4*x(g). Calculate the remainder when q(2) is divided by 60.
56
Let l be 120/36 + 2/(-6). Suppose 249 = -2*f + 5*f + 4*x, -249 = -l*f - 2*x. Let w(c) = 3*c**2 - 3*c - 31. Calculate the remainder when f is divided by w(-4).
25
Suppose -39*j - 10 = -34*j. Calculate the remainder when 87 is divided by ((-19)/j)/(8/16).
11
Suppose 0 = -4*y + u + 304 - 70, -270 = -4*y - 5*u. What is the remainder when 357 is divided by y?
57
Let o be ((-35)/21)/(((-28)/(-72))/(-7)). Suppose 2*w = -3*k + 43, -w + 0*w = 2*k - o. What is the remainder when 65 is divided by k?
14
Let s be 3*-7*1 - -1. Let l(p) = p**2 + 19*p + 1. Let j be l(s). Let a = 40 - j. Calculate the remainder when a is divided by 3.
1
Suppose -203*p + 377*p - 187050 = 0. What is the remainder when p is divided by 531?
13
Let o(k) = 2*k + 14. Let u be o(-7). Suppose 6*n + u*n = 30. Let x(p) = p - 4. Calculate the remainder when 2 is divided by x(n).
0
Let p(b) = -b**2 + b + 8. Let t be p(6). Let i(o) = -o**3 - 19*o**2 + 41*o + 8. What is the remainder when i(t) is divided by 43?
42
Let f be (-1 - 24)/(-5) + 1. Suppose m = f*m - 350. Suppose 65*a = m*a - 145. Calculate the remainder when 86 is divided by a.
28
Let f be -5 - (-1)/(-5*(-4)/100). Suppose -2*k - 2 = f, -3*p - 4*k + 113 = -6. What is the remainder when p is divided by 28?
13
Suppose 2*s + 0*f = -5*f + 586, -5*f + 1435 = 5*s. Suppose -13*z + 528 = -2*z. What is the remainder when s is divided by z?
43
Let f = -297 + 640. Let u = -209 + f. Let m(l) = -l**2 + 16*l + 12. Calculate the remainder when u is divided by m(15).
26
Suppose 0 = -7*s + 33*s - 3432. Suppose s*x - 138*x = -126. Calculate the remainder when 79 - (-2 - -2 - 2) is divided by x.
18
Let x = 11448 - 10980. Calculate the remainder when x is divided by 50.
18
Suppose -2*o = -5*j - 424, -4*j + o - 130 = 208. Let u = -86 + 56. Let l = u - j. Calculate the remainder when l is divided by 14.
12
Let g(k) be the first derivative of 3*k**2/2 + 53*k - 18. Let q be g(-17). What is the remainder when 2 + q + (-10)/(-2) is divided by 6?
3
Let s = 1392 - 1383. What is the remainder when 332 is