t d = -506 + 564. Let y = -5 + 25. What is the remainder when d is divided by y?
18
Suppose -3*n + 33 = -174. Suppose 81*p - 88*p = -252. Calculate the remainder when n is divided by p.
33
Let x(s) = -9*s + 36. Calculate the remainder when x(-7) is divided by 25.
24
Let r(q) = -3*q + 38. Let i be r(12). Suppose 0 = 5*b + 4*k - 76 - 49, 4*b + i*k = 94. What is the remainder when 61 is divided by b?
19
Suppose 0 = -5*y + 68 - 3. Suppose 4*n - 93 = -4*b - 25, -3*b + 45 = -3*n. Let c = 5 + b. Calculate the remainder when c is divided by y.
8
Suppose -813 = 13*h - 1034. What is the remainder when 407 is divided by h?
16
Let s = -21 + 32. Let k be (0 + 6)/(-3) - -10. Suppose y = -y - k, u + 2*y = 23. Calculate the remainder when u is divided by s.
9
Suppose 3767 = 13*s + 3507. Let w = -64 - -122. Calculate the remainder when w is divided by s.
18
Let p(j) = j**3 - 4*j**2 + 2*j - 2. Let f(v) = v**3 + 11*v**2 + 7*v + 1. Let x be f(-11). Let a = 85 + x. What is the remainder when a is divided by p(4)?
3
Let w = -59 + 63. Suppose -5*i - 3*b = -3*i - 30, w = 2*b. Calculate the remainder when 47 is divided by i.
11
Let b = -25 + 46. Let w be 0*(2 + -1) - -6. What is the remainder when b is divided by w - -1 - -1 - 0?
5
Let c = 1 - -10. Let x(y) = -y**2 + 10*y + 14. Let i be x(c). Suppose -i - 7 = -5*p. Calculate the remainder when 6 is divided by p.
0
Let g(n) = 4*n + 8. Let x(l) = l - 1. Let f(w) = g(w) + 6*x(w). Calculate the remainder when 92 is divided by f(3).
28
Suppose -6*x - j + 180 = -x, x - 36 = 3*j. What is the remainder when x is divided by 5?
1
Let w(q) = 5*q - 3. Let z = -127 - -177. What is the remainder when z is divided by w(4)?
16
Suppose 0*f - 2*f = -4*t - 42, -3*f = -4*t - 61. Suppose 0 = x - f - 3. What is the remainder when (-6)/(-2) + (42 - 2) is divided by x?
21
Suppose -u = 3, -4*n + 2*u + 36 = -n. Let o = 91 + -62. What is the remainder when o is divided by n?
9
Let a = 121 + 73. Calculate the remainder when a is divided by 50.
44
Calculate the remainder when 1925 is divided by (302 - 97)*((-1)/(-5) - 0).
39
Let i be 4*1/1*1. Suppose 0*j + i*j = -3*c + 15, -5*c + 14 = 3*j. Suppose 0 = 2*o - 5*s + 3, 3*o + s = 5*s - 1. What is the remainder when c is divided by o?
0
Let d(c) = -c**3 + 8*c**2 + 10*c - 5. Let b be d(9). Suppose -2*r = -3*l - 399, b*l - 5*l = 3*r - 582. Calculate the remainder when r is divided by 33.
30
Let z(n) = n**2 - n - 4. Let g be z(3). Suppose -4*q - 18 = -4*c + 2, -10 = -g*c - q. What is the remainder when 16 is divided by c?
1
Let f = 84 + -51. Let h = -19 - -31. Calculate the remainder when f is divided by h.
9
Let l = -37 + 37. Suppose -43 = -g - l*g. What is the remainder when 83 is divided by g?
40
Suppose -5*c = -11 - 9. What is the remainder when (-42)/c*64/(-12) is divided by (14 - -3) + 7 + -12 - -3?
11
Let q = -2 + 12. Suppose -n = -2*n - 2*t - 10, 2*t = n - q. Suppose -5*o + i + 43 = n, -2*o - 6 = i - 26. What is the remainder when 24 is divided by o?
6
Let d be ((-2)/(-4))/(2/40). Suppose -6*m + d*m = -4. What is the remainder when (7 - 6)*(106 - m) is divided by 27?
26
Let h(g) = -2*g**2 - 16*g - 4. Let c be h(-9). Let r = c - -113. Calculate the remainder when r is divided by 23.
22
Suppose -5*i + 527 = -143. Calculate the remainder when i is divided by 46.
42
Let h(y) = 3*y**3 + y**2 + 2. Suppose 6 = 3*g - 7*f + 2*f, -3*g + 6 = 2*f. What is the remainder when h(g) is divided by 11?
8
Let d(z) be the third derivative of -z**5/60 - z**4/3 + 7*z**3/6 - z**2. Let o = -6 + -1. Calculate the remainder when d(o) is divided by 6.
2
Suppose 4*r = 682 - 98. Let k = r - 90. What is the remainder when k is divided by 29?
27
Let k = 125 + -300. Let w be (18/(-15))/(10/k). Suppose 3*h - w = 18. What is the remainder when h is divided by 4?
1
Let r = 656 + -557. Let b = 110 + -60. Calculate the remainder when r is divided by b.
49
Let c = 73 + 273. Calculate the remainder when c is divided by 58.
56
Calculate the remainder when -1 + 106*(-6 - -7) is divided by 36.
33
Let s(i) = -5 - 19*i - 17 + 11 - 28 - i**2. What is the remainder when 42 is divided by s(-16)?
6
Suppose -3*h + 32 = h. Let i(l) = -10*l**3 + 2*l**2 - 1. Let m be i(-1). Calculate the remainder when (m - 1)/(h/24) is divided by 16.
14
What is the remainder when 181944/2331 - (-4)/(-74) is divided by 31?
16
Let h be -15*-6*4/3. Suppose -5*y + y = -h. Let g(f) = f**3 - 15*f**2 - 14*f - 21. What is the remainder when y is divided by g(16)?
8
Let s(v) = 43*v**2 + 106*v - 6. Calculate the remainder when s(-4) is divided by 87.
84
Let b(k) = 146*k - 1791. Let t = 9 - -27. Calculate the remainder when b(13) is divided by t.
35
Suppose -44*k + 25*k = -1520. Calculate the remainder when 234 is divided by k.
74
Suppose -3*v = 4*z - 816, -5*v + 2*z = -4*v - 282. Calculate the remainder when (v/8)/(-3)*-2 is divided by 13.
10
Suppose 0 = -35*l + 9161 + 4209. What is the remainder when l is divided by 24?
22
Let h(i) = 138*i + 6. Let f(m) = -28*m - 1. Let d(q) = -24*f(q) - 5*h(q). What is the remainder when d(-2) is divided by 8?
6
Let a(r) = r**2 - r + 19. Let q(x) = 19*x**2 + 7*x + 10. What is the remainder when q(-2) is divided by a(0)?
15
Suppose -3*r + 6 = -r. Let k(v) = -v**3 + 5*v**2 - 9*v + 4. Let m be k(4). Let h = m - -17. Calculate the remainder when r is divided by h.
0
Let v(p) = -p**3 + 4*p**2 + 2*p - 5. Let i(m) = 2*m - 8. Let u be i(6). Let j be v(u). Suppose -1 = j*a - 70. What is the remainder when 90 is divided by a?
21
Suppose -10*g = 11*g - 147. Calculate the remainder when 85 is divided by g.
1
Let w(z) = -10*z + 348. What is the remainder when w(27) is divided by 14?
8
Let n = -3 - -17. Calculate the remainder when 26 is divided by n.
12
Suppose k + k - 32 = 0. Let i(z) = z**2 - 2*z - 24. Let a be i(6). Let m = a + k. What is the remainder when 59 is divided by m?
11
Suppose -n + 69 = 4*d - 6*n, 0 = 3*d - 5*n - 58. Suppose -144 = 6*h - 3*h. Calculate the remainder when (-9)/((h/64)/(7/2)) is divided by d.
9
Let i(w) = -2*w + 7. Let l(o) = 2*o - 6. Let b(u) = 3*i(u) + 4*l(u). What is the remainder when b(10) is divided by 4?
1
Suppose s + 3*g - 11 = -0*g, 4*s + 2*g = 84. Calculate the remainder when ((2896/72)/1)/(22/99) is divided by s.
20
Let l = -271 + 452. Calculate the remainder when l is divided by 23.
20
Let h = -99 - -99. Suppose h = 3*g + 5*a - 28 - 28, -4*a - 44 = -5*g. Calculate the remainder when g is divided by 11.
1
Suppose 2*t = 3*c + 7*t - 22, 5*t + 6 = -c. Let q = 133 - 79. What is the remainder when q is divided by c?
12
Let a(d) = d - 4. Let j be a(7). Suppose j*q = -7*q + 430. Calculate the remainder when q is divided by 15.
13
Suppose 2*b + m = 3*b - 2, 4*b - 23 = -m. Suppose b*s - 80 = 25. What is the remainder when s is divided by 2*-1 - 13*-1?
10
Suppose 2*k = -4*p - 0*p + 28, 4*p = -k + 22. Let d(i) = -18*i + 425. What is the remainder when d(23) is divided by k*(-1)/(-1 + -1)?
2
Calculate the remainder when (-3 + 0)/(82/(-16482)) is divided by 299.
5
Let a = 40 - 37. Let m(d) = -d + 10. Let o be m(10). Suppose o = -f - 0 + 3. Calculate the remainder when f is divided by a.
0
Let b = 16 - 14. Suppose 5*t + b*g - 271 = -2*g, 0 = -3*t + g + 166. Calculate the remainder when t is divided by 29.
26
Let r(y) = -2*y - 11. Let t be r(-6). Calculate the remainder when (25 - -14)/(1/t) is divided by 10.
9
Suppose 177 = l - 44. What is the remainder when l is divided by 59?
44
Let n = 28 - 10. Let h be (1 - (2 + -1)) + (-2 - -5). Suppose 74 = h*v - 73. Calculate the remainder when v is divided by n.
13
Suppose 5*h - 198 = -2*t, -h - 4 = -0*h. Suppose -w - 4*c + 41 = 0, 5*w - t = -c + 5*c. Let z = 35 - w. What is the remainder when 39 is divided by z?
9
Suppose 8*g - 731 = -539. What is the remainder when 110 is divided by g?
14
Let a(w) = -w**2 + 30*w - 110. What is the remainder when a(23) is divided by 2?
1
Suppose -3*j - 2*j = -160. Suppose -5 = 5*f, -3*x + j = -3*f - 2*f. What is the remainder when 16 is divided by x?
7
Suppose 5*b - 278 = l - 93, -b + 37 = -l. What is the remainder when b is divided by 21?
16
Let r be (12/(-10))/((-4)/(-10)) - -5. Suppose 5*y - 112 = -2*p, -r*p = -9*y + 5*y + 86. What is the remainder when 39 is divided by y?
17
Let v(y) = 0*y - 3 - 2*y + 3*y - 2*y. Calculate the remainder when