et t = c + 13. Suppose -30 = -t*j + j. What is the remainder when 23 is divided by j?
5
Suppose 6*z = z + 445. Calculate the remainder when z is divided by 2/7 - (384/(-28) + -4).
17
What is the remainder when -12*(4 - 166/8) is divided by 51?
48
Let y = 316 - 260. Calculate the remainder when y is divided by 1 + -3 - -33 - 1.
26
Suppose 0 = -3*w - 3*p + 81, 2*p + 5 = 7. Calculate the remainder when w is divided by 24.
2
Suppose -2*p = 0, 3*l + 4*p - 4 = 2*l. Suppose -l*d + 255 = 67. What is the remainder when 186 is divided by d?
45
Suppose 0*h - 36 = 4*h. Calculate the remainder when (-240)/h + (-6)/9 is divided by 14.
12
Let r(u) = -73*u + 2. Suppose -3*f + f + 8 = -2*p, f = 3. What is the remainder when r(p) is divided by 26?
23
Let d(s) = -3*s**3 - 27*s**2 - 2*s + 13. What is the remainder when 275 is divided by d(-9)?
27
Let d = 45 + -72. Let y = d - -56. Let g(n) = -8*n. Calculate the remainder when y is divided by g(-1).
5
Let i = 125 + -122. Suppose i*w + k - 90 = 5*k, 3*w = 3*k + 87. Calculate the remainder when w is divided by 10.
6
Let u = 951 + -937. Suppose 0*j = 4*j - 316. What is the remainder when j is divided by u?
9
Let c be -2*(2/3)/(12/(-27)). Suppose 15 = c*h, u - 62 = 4*h - 0*h. Calculate the remainder when u is divided by 17.
14
Let g = -6490 - -6505. Let j(w) = -45*w - 1. Calculate the remainder when j(-2) is divided by g.
14
Let s(f) = -6*f + 23. Let h be s(-16). Let c = h + -109. What is the remainder when 39 is divided by c?
9
Suppose 7*z - 24 + 73 = 0. What is the remainder when (-68)/z + (-32)/(-14) + -2 is divided by 4?
2
Suppose -12*f - 2268 = -6516. Calculate the remainder when f is divided by 119.
116
Let q(j) = j**3 + 5*j**2 - j + 20. Calculate the remainder when 70 is divided by q(-5).
20
Let g = 1 + 4. Suppose -35 = -2*h + g*b, -3*b = h - 2*b - 14. Suppose h = x + t, x + 3*x - 5*t - 51 = 0. Calculate the remainder when 53 is divided by x.
11
Let c be (-45)/12 + 2/(-8). What is the remainder when c/26 + (-522)/(-13) is divided by 11?
7
Suppose 5*m - 306 = -3*n + 7*n, 4*m = 5*n + 252. Calculate the remainder when 111 is divided by m.
53
Let m = 679 + -649. Calculate the remainder when 45 is divided by m.
15
Suppose -3*h + 0 = -6. Suppose 5 = -g + h*c - 5, 5*g - 5*c + 55 = 0. Let q = -9 - g. Calculate the remainder when 10 is divided by q.
1
Let p = 11 - 6. Suppose 5*b - p*u = -0*b + 20, 2*u = -2*b. What is the remainder when (-4560)/(-112) + b/7 is divided by 22?
19
Suppose 135 = -10*c + 25*c. Suppose g + 35 = 11. Let q = 41 + g. What is the remainder when q is divided by c?
8
Let h be -4 - ((-3)/(-2))/(42/(-112)). Let f = 25 + h. Calculate the remainder when f is divided by 7.
4
Let g(w) = -w**2 - 3. Let b be g(0). Calculate the remainder when b + (-1)/((-1)/43) is divided by (-3)/9 + (-43)/(-3).
12
Suppose 189 = -29*f + 1001. Calculate the remainder when 38 is divided by f.
10
Suppose -2*b + 2*i - 244 = 0, -537 = 5*b - 3*i + 71. Suppose 3*g - 47 = 2*y, 2*y + 3*g = 2*g - 43. Let j = y - b. What is the remainder when j is divided by 34?
31
Let i(z) = -z**3 - 2*z. Let d be i(0). What is the remainder when 64 is divided by -3*(-1 - d)*(21 + -10)?
31
Suppose 0 = -4*h + 328 - 144. What is the remainder when 127 is divided by h?
35
Suppose 0 = -q + 2*t + 176, 0*q + 2*t = -2*q + 364. What is the remainder when q is divided by 48?
36
Let s = 37 + -32. Let t(j) = 23*j + 6. What is the remainder when t(s) is divided by 31?
28
Let h = -1053 - -1064. Let t(y) be the second derivative of y**5/20 - y**4/12 + 3*y**2/2 - 2*y. Calculate the remainder when h is divided by t(0).
2
Let o = 18 - 15. Suppose o*p = p + 84. What is the remainder when p is divided by 23?
19
Suppose 4*f + 7*f = 440. Suppose -3*g - g + f = 0. Calculate the remainder when 27 is divided by g.
7
Let h be 4/(-6) + (-539)/(-3) + 1. Suppose 0 = 4*t + 3*v - 6*v - 113, -5*t + h = 4*v. What is the remainder when t is divided by 14?
4
Suppose -3*a + 8 = -p, -3 = -5*a + 2*p + 11. Suppose -3*i - 65 = -4*m, -4*m + 53 = 3*i - a*i. What is the remainder when 54 is divided by m?
12
Let y be (2/(-4))/(3/(-12)). Let h(u) = -82*u + 10. Let m(p) = -55*p + 7. Let g(d) = -5*h(d) + 7*m(d). Calculate the remainder when g(y) is divided by 13.
10
Suppose 14*a - 12*a - 60 = 0. What is the remainder when 89 is divided by a?
29
Let n(d) = 14*d**2 + 8*d - 6. Calculate the remainder when 1259 is divided by n(1).
11
Let j(k) = 7*k + 38. Let u(m) = 3*m + 20. Let h(o) = -4*j(o) + 9*u(o). Let t = -1 + 1. What is the remainder when 55 is divided by h(t)?
27
Suppose 5*y = 8 - 48. What is the remainder when 1*2/y - (-303)/12 is divided by 15?
10
Suppose 38 = a + 5*x, 4*a - 130 = 2*x - 0*x. Let t be (-1736)/32 - 1/(-4). Calculate the remainder when a is divided by t/(-6) - (1 - 4).
9
Suppose 101 + 33 = 2*g. Let x = g + -21. Suppose -4*b + 40 = 5*s - 3*s, 4 = 2*s - 5*b. Calculate the remainder when x is divided by s.
10
Suppose 561 = -3*b + 8*b - 3*o, -3*b = 4*o - 325. Calculate the remainder when b is divided by 8.
7
Let d = 316 - 163. What is the remainder when d is divided by 39?
36
Suppose 5*n + y = 46060, n - y = 11447 - 2235. Calculate the remainder when n/70 - (-6)/(-10) is divided by 33.
32
Let z = 77 - 48. Suppose z*u - 30 = 24*u. Calculate the remainder when u is divided by (5/3)/(3/9).
1
Let t = -90 - -162. Let f = -11 + t. Suppose 96*y + 34*y - 2461 - 269 = 0. What is the remainder when f is divided by y?
19
Let n = 0 - -2. Let h be (n/2)/((-5)/(-10)). Suppose 19 = h*x + w, -5*w - 7 = -4*x + 24. Calculate the remainder when x is divided by 5.
4
Suppose 0*k + 3*k = 9. Let d(p) = p**2 + 8*p + 23. Calculate the remainder when d(-5) is divided by k.
2
Let l(d) = 6*d**3 + d**2. Let j be l(1). Suppose -48 + 13 = -j*v. What is the remainder when 19 is divided by v?
4
Let r be (133/(-21))/(2/36). Let m = r - -135. What is the remainder when 76 is divided by m?
13
Suppose -2*q = 5*z + 74, 2*q + 148 = -2*q + 2*z. Let b = q + 48. What is the remainder when 76 is divided by b?
10
Let b(q) = 2*q - 6. Let u be b(3). Suppose 2*k - 5 + 11 = u, 3*k = 2*l - 197. What is the remainder when l is divided by 32?
30
Let a(b) = b. Let i be a(5). Let l(k) = -k**3 + 7*k**2 - 2*k - 4. What is the remainder when l(i) is divided by 20?
16
Suppose 2*y + 12 = 6*y, 0 = 5*b + 4*y - 232. Let s = 76 - b. Let q = 0 - -11. What is the remainder when s is divided by q?
10
Suppose -544 = -33*t - t. Let l(j) = 7*j + 1. Let d be l(2). What is the remainder when d/2*(4 + 2) is divided by t?
13
Suppose -3*x + 6*x + 4*d = 66, -66 = -3*x - 5*d. What is the remainder when 194 is divided by x?
18
Suppose -7*b + 47 = -37. Calculate the remainder when 152 is divided by b.
8
Suppose 2*j - 5*t = 2904, -4*j - 3*t + 3653 = -2103. Calculate the remainder when j is divided by 17.
14
Suppose 0 = 4*p - 5*x - 108, 0*p + 5*x = -3*p + 81. Let g be (-8)/36 - (-114)/p. What is the remainder when 2 - 2 - (g + -19) is divided by 9?
6
Let q be 9*1/2*(-32)/(-48). Suppose -q*c - 2*c = n - 58, 0 = -3*c + 6. What is the remainder when 141 is divided by n?
45
Let o be (0 - 1) + -9 + 14. Suppose -4*u = 5*g - 116, -u = -o*g + 4*u + 60. What is the remainder when 98 is divided by g?
18
Let k be 28/6 - (-15)/45. Suppose -4*v - k*a = -42, -v - 3*v + 5*a = -22. Calculate the remainder when v is divided by 5.
3
Let p = 11 - 14. Let c = -7 + p. Let i = 17 - c. What is the remainder when 78 is divided by i?
24
Let y be 15/(-2)*(-28)/(-35). Let x = 4 + y. Calculate the remainder when 7 is divided by (1 + -3)/(1 + x).
1
Suppose -3*s - s = -w - 28, -2*w + 8 = 0. Calculate the remainder when 920/12 - 48/(-36) is divided by s.
6
Let s(t) = -t**2 - 23*t - 121. Suppose -2*i + 5*d = -73, -5*i + 5*d = -2*i - 97. Calculate the remainder when i is divided by s(-9).
4
Suppose -11*p - 248 + 1139 = 0. Calculate the remainder when 725 is divided by p.
77
Let a be (-2)/(-5) - 8092/(-70). Let w = a - -12. Suppose -w = -3*q - 35. What is the remainder when q is divided by 17?
14
Suppose 0 = -3*x + 4*g - 200 + 1126, 4*x + 3*g - 1243 = 0. Calculate the remainder when x is divided by 21.
16
Let z(o) = 43*o**2 + 4*o - 3*o + 0*o - 2*o. What is the remainder when z(-1) is divided by 1957/133 + (-4)/(-14)?
14
Let m(i) be the first derivative of -i**4/4 - i**3 + 5*i**2/2 + 6*i