6 = -s - n. Suppose -4*p + s = -p. What is the remainder when p is divided by 15?
11
Let n(j) = 116*j + 5. Let f be n(-1). Let d = f - -217. Calculate the remainder when d is divided by 36.
34
Let z(k) = 4*k + 14. Let n be z(22). Suppose 5*c - 78 - n = 0. What is the remainder when 143 is divided by c?
35
Suppose 3*a - 29 = -2*y, -y + 2*a + 6 - 2 = 0. Let b(i) = -4*i - 133. Calculate the remainder when (-4)/10 - (-574)/y is divided by b(-37).
12
Suppose 4*z - 18 = -5*f, 4*z - 2 = 2*z + f. Suppose m - 11 + 3 = x, x = z*m - 15. Calculate the remainder when 20 is divided by m.
6
Suppose 5*b - 195 + 25 = 0. Let m(w) = -w**3 + 10*w**2 - 22*w + 6. Calculate the remainder when b is divided by m(5).
13
Let v(h) = -3*h - 8. Let d = -4 + 6. Calculate the remainder when v(-4) is divided by d.
0
Let r(w) = -2*w - 3*w + 30 - 6*w + 22*w. Calculate the remainder when r(4) is divided by 17.
6
Suppose p - 18 = f - 3, -2*p - 3*f = -10. Suppose -2*o + 13 = -p. What is the remainder when 23 is divided by o?
11
Let q(w) = -2*w**3 - 33*w**2 + 16*w - 6. Let v be (-48)/(-144)*(1 + 0 - 52). What is the remainder when 20 is divided by q(v)?
9
Let n(i) = i**2 - 3*i + 2. Let l be n(3). Calculate the remainder when l/(-2) - (15 + -22) is divided by 3.
0
Suppose -31*b + 3396 = -19*b. What is the remainder when b is divided by 11?
8
Let m = -240 - -249. Suppose k + 70 = f - 2*k, -5*k - 66 = -f. What is the remainder when f is divided by m?
4
Let m(w) = -w**2 + 19*w. Let b(o) be the first derivative of -3*o**2/2 + 11*o - 2. What is the remainder when m(12) is divided by b(-6)?
26
Suppose -2*c + 25 = 3*s, 0 = -4*c - 5*s + 133 - 82. Calculate the remainder when 1075 is divided by c.
11
Let d be 3 + -2 + 4 + 0. Suppose -2*f + 14 = 2*s, 0 = s - d*f - 5 + 22. Suppose 0 = s*l - 117 - 114. What is the remainder when l is divided by 13?
12
What is the remainder when 71 is divided by 20 + (99/(-66))/((-6)/4)?
8
Let f = -13 + 12. Let u = 7 - f. What is the remainder when 13 is divided by u?
5
Suppose 0*n - 18*n = -198. Calculate the remainder when 160 is divided by n.
6
Suppose 3*y = 6, 3*b + 10 = 4*b + 2*y. Suppose b = 4*o - 10. Suppose o*d = -3*j + 65, -5*d + d = -2*j + 70. What is the remainder when 51 is divided by j?
24
Let g be 6438/30 - (-9)/(-15). Suppose -4*j = -2*y + g, 3*j - 303 = -4*y + y. Calculate the remainder when y is divided by 5.
3
Suppose 5*a = -4*m + 115 + 51, -a + 26 = -m. What is the remainder when 167 is divided by a?
17
Suppose 3*q - 8*q + 25 = 0. Suppose 0 = 2*s - 2*l - 2*l - 84, -q*s = -2*l - 242. Suppose 5 = 5*w - s. What is the remainder when 30 is divided by w?
8
Suppose 9306 - 585 = 19*s. What is the remainder when s is divided by 42?
39
Let n(u) = 18*u**3 - u**2 - u + 1. Let a(c) = 3*c - 47. Let v be a(16). Calculate the remainder when 167 is divided by n(v).
14
Suppose -3*x = -4*m - 50 - 12, 3*x - 5*m = 61. Let t be -78 - (-3)/((-3)/4). Let l = -76 - t. What is the remainder when x is divided by l?
4
What is the remainder when 1556/(-6)*(-48)/32 is divided by 30?
29
Let v(p) = 7*p**2 + 17*p + 17. Let u(w) = 13*w**2 + 33*w + 34. Let c(t) = 6*u(t) - 11*v(t). Calculate the remainder when (-1 - -18)/1 - -1 is divided by c(-10).
4
Suppose -3 = -4*t - q, -7*t + 3*q + 13 = -8*t. Suppose -5*r + 66 = 2*a, -a = -3*r - t*a + 39. What is the remainder when 34 is divided by r?
10
What is the remainder when 245 is divided by 8*32/44 - 8/(-44)?
5
Suppose 2*j = -5*g + 44, -j - 4 = -0*j - 4*g. Suppose 0 = -y + j + 1. Calculate the remainder when 30 is divided by y.
4
Let y(v) = -3*v - 14. Let a be y(-8). Suppose -2*w - a = 0, -43 = -j + 4*w + 2. What is the remainder when j is divided by 9?
7
Suppose -2*r + 5*f + 71 = 0, -2*r + 4*f = r - 89. What is the remainder when 40 is divided by r?
17
Let w(a) = -a**2 + 15*a + 74. Calculate the remainder when 56 is divided by w(18).
16
Suppose -3*i + 5*i - 342 = 0. Suppose 1346 = 5*m - 3*u, -4*m + 907 + i = -2*u. Let n = m + -168. Calculate the remainder when n is divided by 35.
33
Suppose c - 3*z - 31 = -z, -4*z - 4 = 0. Calculate the remainder when 53 is divided by c.
24
Let i be (18 + -10)/(1 - 3). Let y be (-1)/i + 548/(-16). Let g = y - -60. Calculate the remainder when g is divided by 9.
8
Suppose 4*h = -2*s - 422, -7*s = 2*h - 2*s + 199. Let y = -48 - h. Let m(n) = -3*n + 3. What is the remainder when y is divided by m(-3)?
11
Let j(t) = -19*t - 7. Let m(q) = 15*q - 15. What is the remainder when j(-5) is divided by m(4)?
43
Let v(n) = -n**2 + 8*n - 6. Let o be v(7). Suppose -r + 76 - 1 = 0. What is the remainder when r is divided by -26*(-3 + o + 1)?
23
Let p(f) = f**3 - 7*f**2 + 5. Let h be p(7). Suppose -3*b + 93 = -h*v, -v = 3*b - 0*v - 111. Calculate the remainder when b is divided by 10.
6
Calculate the remainder when 30/(-40) + (-6983)/(-4) is divided by 76.
73
Let h(o) = 3*o**2 + 14*o + 17. What is the remainder when 120 is divided by h(-6)?
38
Let f = -103 - -358. Suppose 5*c - f + 45 = 0. Calculate the remainder when c is divided by 15.
12
Let i(y) = -y**3 - 4*y**2 + 21*y - 9. Let z = 136 + -145. What is the remainder when i(z) is divided by 52?
51
Suppose -5*w + 32 = 7. Suppose -6 = -f - 2*p + 2, w*p - 20 = 5*f. Let u = f + 3. What is the remainder when 7 is divided by u?
1
Suppose 5*u - 89 = -269. Calculate the remainder when 14 is divided by 83/9 + 8/u.
5
Let x = 12 - -47. Let o = x + -54. Calculate the remainder when 5 is divided by o.
0
Let b(r) = r**2 - 18*r + 22. Let z(w) = -w**2 - w + 17. Let s be z(0). Calculate the remainder when 17 is divided by b(s).
2
Let l(n) = 26*n - 46. What is the remainder when l(3) is divided by 28?
4
Let g = 2614 - 2584. Calculate the remainder when 183 is divided by g.
3
Suppose 3*i - 15*t + 12*t - 324 = 0, 4*t + 108 = i. Calculate the remainder when i is divided by 22.
20
Suppose w + 178 = 3*k, -3*k - 7*w = -2*w - 172. Suppose 2*r - 4*r = -4. Suppose r*c - 8 = 22. Calculate the remainder when k is divided by c.
14
Let k = -9 + 20. Suppose 0 = 5*f - b + 29, 7*f - 6*f + k = -5*b. What is the remainder when 41 is divided by (-14*2)/(f - -4)?
13
Let o(b) = -b**3 + 42*b**2 - 44*b + 159. What is the remainder when 251 is divided by o(41)?
35
Let b = 301 - 229. Let h be ((-1)/2)/(3/(-42)). Suppose 11*g - b = h*g. What is the remainder when 34 is divided by g?
16
Suppose 0 = 4*j - 3*d + 40739 - 7504, 0 = -5*j - 3*d - 41510. Let i be j/25 + 3/15. Calculate the remainder when (-2)/((40/i)/5) is divided by 21.
20
Suppose 2*a + 3*t - t = 116, 4*t + 92 = 2*a. Let q = a + 83. What is the remainder when q is divided by 35?
32
What is the remainder when 51 is divided by 9 - (3 + -38)/5?
3
Let c be 2/10 + 676/20 + -1. Suppose -2*p + c + 75 = 0. What is the remainder when p is divided by 11?
10
Let w(b) = 2*b**2 + 3*b - 4. Let v be w(-3). Suppose 6*u = v*u - 5. Let h(i) = i**3 + 5*i**2 - 5*i - 7. What is the remainder when h(u) is divided by 5?
3
Let a(d) = 9*d - 67. Calculate the remainder when a(15) is divided by 23.
22
Suppose -2*b - 3*z + 0 = -12, 0 = 3*b + 4*z - 20. What is the remainder when ((-46)/(-3))/((-1)/(-3)) is divided by b?
10
Let k(w) = 5*w**2 - 15*w - 27. Calculate the remainder when 179 is divided by k(8).
6
Let w = -2 - -5. Let b = -723 + 732. What is the remainder when b is divided by w?
0
Suppose 19*b = 16*b + 138. What is the remainder when 137 is divided by b?
45
Let d(n) = -7*n + 564. Calculate the remainder when d(21) is divided by 10.
7
Let f(a) = -a + 3 + 0 - 9 + 0*a. What is the remainder when 25 is divided by f(-13)?
4
Let d = -81 + 122. Let v = -2575 + 2820. Calculate the remainder when v is divided by d.
40
Let q = 18 - 7. Let u = -114 + 105. Let r = u - -41. Calculate the remainder when r is divided by q.
10
Suppose 14 - 2 = 4*x. Suppose -14 = -2*l + x*c - 4, -2*l = 5*c - 42. What is the remainder when l is divided by 2?
1
Let p(g) = -15*g - 4. Let m be 10/(-4)*20/25. What is the remainder when p(m) is divided by 9?
8
Let k = 177 + -109. Let p = 31 + k. What is the remainder when p is divided by 50?
49
Let n(k) be the first derivative of k**2 + 4*k - 19. What is the remainder when 11 is divided by n(0)?
3
Suppose -6 = -c - s, 0 = c - 2*s + 1 - 4. Suppose 5*d + 3*m = 202, 3*m - c - 115 = -3*d. Calculate the remainder when d is divided by (-6)/(-16) - (-5559