der when s is divided by y?
31
Suppose 11*j = 2*x + 9*j + 360, -535 = 3*x - 4*j. What is the remainder when (-1)/8 + (x/(-8) - 7) is divided by 9?
7
Let q = 692 - 375. Suppose 3*z + v - 20 = 0, 13*v - 319 = -2*z - 355. Calculate the remainder when q is divided by z.
5
Suppose -232*i + 229*i + 401 = -5*t, 4*i - 492 = -4*t. What is the remainder when 460 is divided by i?
79
Suppose -3*i + 425*h - 421*h = -17979, -i + 5*h + 5982 = 0. What is the remainder when i is divided by 39?
30
Let x be 664 - -7*42/(-49). Suppose -r - x + 812 = 0. Calculate the remainder when r is divided by 12.
10
Let k(x) = -33*x - 60. Let m(a) = a**2 - 14*a + 31. Let p be m(3). Calculate the remainder when (-3)/((-9)/(-6)) + 37 is divided by k(p).
5
Suppose -14 = 2*a + k, -a = 3*a - 4*k + 52. Let u = a + 74. What is the remainder when u is divided by (552/(-60))/((-2)/5)?
19
Let n be 137*7/14 + 1/2. Let a(v) = v**2 + 22*v + 31. Let g be a(-24). Let p = g - n. Calculate the remainder when 27 is divided by p.
7
Let r(h) = -h**3 - 6*h**2 + 113*h + 18. What is the remainder when 17 is divided by r(-14)?
1
Let a = 455 - 453. Suppose -576 = -20*c + a*c. Calculate the remainder when 254 is divided by c.
30
Suppose 5*m = 8 + 4807. Suppose m = 5*s - 822. What is the remainder when s is divided by 40?
37
Calculate the remainder when ((-18)/(-27))/((-4)/(-3054)) is divided by (-11)/55 - 963/(-15).
61
Calculate the remainder when 121/55 + (-8)/(-10) + 4684 is divided by 69.
64
Suppose -470*n = -267*n - 201 - 952 - 674. Let l(k) be the first derivative of 2*k**3/3 - 5*k**2/2 + k + 1. What is the remainder when l(-4) is divided by n?
8
Suppose -4*d - 5*q = -30 + 3, -d + 6 = q. Let o be (679/112 - 6) + 17015/656. Suppose o = d*m - 124. Calculate the remainder when m is divided by 17.
16
Let a(z) = 90 - 79 + z - z**3 + 2*z. Let u(t) = 31*t**3 + t**2 - 2*t + 1. Calculate the remainder when u(1) is divided by a(0).
9
Calculate the remainder when (-2)/((-2)/371*7) is divided by -1*3 - (6 + -7) - -42.
13
Suppose -1062 = -l - 4*f, -418*f + 15 = -423*f. Calculate the remainder when l is divided by 12.
6
Let o(n) = n**3 + 10*n**2 + 17*n + 14. Let x = 72 - 38. Calculate the remainder when x is divided by o(-8).
4
Suppose 3*v + 17 = 53. Let x(b) = -2*b**3 + 27*b**2 + 85*b + 50. What is the remainder when x(16) is divided by v?
10
Suppose -20*m + 15 = -19*m - 4*x, 4*x = -4*m + 120. What is the remainder when 497 is divided by m?
11
Calculate the remainder when 1257 is divided by 5/7 + 6786/819.
6
Let u = 604 + -586. Suppose 0*s = -s + 10. Calculate the remainder when u is divided by s.
8
Suppose -2*i - 3*m = -554, -5*i = -2*m - 734 - 670. Calculate the remainder when i is divided by 81.
37
Let b = -3518 - -3525. Calculate the remainder when 207 is divided by b.
4
Let t = 3387 - 2926. What is the remainder when t is divided by 7?
6
Suppose -5*y - 815 = -10*y. Let d(i) = -i**3 + 9*i**2 - 21*i + 31. Calculate the remainder when y is divided by d(6).
7
Suppose 3*c - 422 + 36 = -5*v, 0 = 3*v - 4*c - 249. What is the remainder when 461 is divided by v?
66
Let o(q) = -3*q**2 + 48*q + 18. Let h be o(15). Suppose 0*l = 4*x + l - h, -3*l = -9. What is the remainder when 149 is divided by x?
14
Let t = -2 + 5. Suppose -k + 0*k + 146 = -t*o, -2 = -k. Let j = 50 + o. What is the remainder when 4 is divided by j?
0
Let u be 15/(-20) - (-70)/8. Let m(x) = -x**2 - x + 7 + 22 - 6*x - u. Calculate the remainder when m(-7) is divided by 11.
10
Let l = -62 + 165. Suppose -14*n + 107 + l = 0. Calculate the remainder when 42 is divided by n.
12
Let c(t) = t**2 + 2*t - 24. Let g be c(-6). Calculate the remainder when -2 + 14 + 4/1 is divided by g + 2 + (-2 - -2 - -3).
1
Let f = 2623 + -2526. Calculate the remainder when f is divided by 21.
13
Suppose -2*p = -5*p + 120. Suppose -5*y - 65 = -4*v, -4*y + 26 = -6*y - 4*v. Calculate the remainder when (24 - 33)/(1/y) is divided by p.
37
Suppose 115 = 5*y + 4*c, -2*y - c + 28 = -3*c. Suppose 0 = 2*m + 3*a + y, -2*m - 16 = a - 3. What is the remainder when 3 is divided by (6/m + 1)*-5?
0
Suppose 47*f - 4*v - 2655 = 0, 2*v = -93*f + 89*f + 240. Let m = -24 + 49. Calculate the remainder when f is divided by m.
7
Let r = -11 + 13. Suppose s = r*s - 6. What is the remainder when (-12)/8*(-284)/s is divided by 37?
34
Suppose -4*g - 5*s = -508, -2*s = -g + 3*s + 127. What is the remainder when g is divided by 45?
37
Suppose -618 = 145*j - 151*j. Suppose -105*p + j*p + 1076 = 0. Calculate the remainder when p is divided by 7.
6
Let j = -9703 + 23627. Calculate the remainder when j is divided by 66.
64
Suppose -r = 4*s - 1194, 0 = 3*s - r - 1347 + 455. What is the remainder when s is divided by 29 + (17/4)/17*4?
28
Let v(d) = -2*d**2 - 36*d + 25. Let k be v(-17). Suppose 7*o - 39 = k. Calculate the remainder when 165 is divided by o.
11
Suppose -4*o - 3*x + 140 = -551, -2*x = 4*o - 694. Calculate the remainder when 2097 is divided by o.
172
What is the remainder when (-1)/11 + (-24980)/(-110) is divided by 227?
0
Suppose 2*q = 7*q + 50. Let c(g) = g**3 + 11*g**2 + 5*g + 12. What is the remainder when c(q) is divided by 33?
29
Let h(o) = -o**3 - o**2 + 274. What is the remainder when h(0) is divided by (-1 - -2)*(67 + -6 + 8)?
67
Suppose -36*k + 25 = -41*k, p - k = 42. Calculate the remainder when 272 is divided by p.
13
Suppose g - 8 = 40. Suppose -57*y - 18*y + 420 = 9*y. What is the remainder when g is divided by y?
3
Suppose 913 = 4*s - 3*g, 5*s - 3*g - 761 = 381. What is the remainder when (s/2)/((-13)/(-208)) is divided by 14?
12
Let m(g) = g**3 - 6*g**2 + 2*g - 6. Let z be m(5). What is the remainder when 4*((-7)/z)/((-4)/(-507)) is divided by 57?
55
Let y(p) = 4*p**3 - 4*p**2 - 10*p + 26. What is the remainder when y(8) is divided by 431?
14
Let z(q) = -q**3 + 13*q**2 - 29*q - 57. Calculate the remainder when 941 is divided by z(7).
23
Suppose 2*q + 5980 = 15*q. Let h = 524 - q. What is the remainder when h is divided by 26?
12
Let d = -110 + 112. Let h be 146 + d*20/8. Suppose 0*f - h = -4*p - 5*f, -49 = -p - 5*f. What is the remainder when p is divided by 12?
10
Let x = -1 - 5. Suppose w + 5*v + 355 = -w, 385 = -2*w + v. Calculate the remainder when (x/15)/(1/w) is divided by 20.
16
Suppose -5*a + 6*a + 144 = 0. Let f = a + 322. Calculate the remainder when f is divided by (-250)/(-7) - (-2)/7.
34
Let x(z) = -z**3 + 3*z**2 - 2*z + 2. Let q = -302 - -447. Suppose -13*i + q = -50. What is the remainder when i is divided by x(2)?
1
Let p(i) = -7*i - 98 - i + 9*i - 7*i. Let v(o) = 13*o**2 - 5*o + 4. What is the remainder when v(3) is divided by p(-21)?
22
Let t(a) = -a**3 + a + 41. Let f be t(0). Let g be 3*(-3)/(-18) - 71/(-2). Let u = f - g. Calculate the remainder when u is divided by 4.
1
Let u be -3*4011/(-14)*4/(-6). Let a = -489 - u. Calculate the remainder when a is divided by 26.
6
Suppose 2*w = -5*w + 28. Suppose 2*g + w = -3*y + 4*g, g - 5 = 0. Suppose -35 = -3*i - y*i. Calculate the remainder when 26 is divided by i.
5
Let d be 3090/(-26) + 4 - 4/26. Let u(b) = b**3 - 3*b - 2. Let z be u(-5). Let h = z - d. Calculate the remainder when 7 is divided by h.
1
Suppose 37*z - 8958 + 115 = 0. Calculate the remainder when z is divided by 103.
33
Let c = -250 - -253. Suppose 0 = c*w - 153 + 78. Calculate the remainder when w is divided by 14.
11
Suppose -2*x = -h + 195 + 708, -3*x = -5*h + 4550. What is the remainder when h is divided by 28?
17
Let i(r) = r**2 - 7. Let k be i(-3). Let m be (-4 + 7/k)*-10. Suppose -22 + 206 = 4*x + 4*c, -4*x = -m*c - 184. Calculate the remainder when x is divided by 12.
10
Suppose -2*s + 260 = -2*t, -14*s + 9*s + 3*t + 652 = 0. What is the remainder when s is divided by 11?
10
Suppose 43 = 5*x - 4*n, -13 - 7 = -2*x + 3*n. What is the remainder when 217 is divided by x?
0
Let t(p) = -4*p**2 - 204*p - 126. Calculate the remainder when 201 is divided by t(-50).
53
Let b(q) = 204 + 8*q - 6*q + 8*q - 64. What is the remainder when 958 is divided by b(-6)?
78
Suppose 7 + 16 = t. Let b(u) = 2*u**2 - 30*u + 168. What is the remainder when b(7) is divided by -25 + t - 31/(-1)?
27
Suppose 0 = -4*l - 3*l - 112. Let a = l - -42. Suppose 763 = 33*d - a*d. Calculate the remainder when d is divided by 22.
21
Suppose -2*q = -6*q + 4*i + 140, -i = 4*q - 1