 = b**3 - 10*b**2 - b + 11. What is the remainder when 30 is divided by i(10)?
0
What is the remainder when 129 is divided by -1 + (77 - (11 + -6))?
58
Suppose 8 = 11*i - 9*i. Suppose 576 = i*c - 6*c. What is the remainder when c/(-15) - (-1)/(-5) is divided by 5?
4
Let n = -322 - -620. What is the remainder when n is divided by 5?
3
Let z(j) = j**3 - 11*j**2 + 15*j + 56. Calculate the remainder when 108 is divided by z(9).
21
Suppose 5*j + 5*u + 1154 = 7*u, 0 = -5*u + 10. Let r = j - -335. What is the remainder when r is divided by 28?
21
Let y(p) = -p**3 - 18*p**2 - 31*p + 35. What is the remainder when 113 is divided by y(-16)?
18
Let w = 10 + -3. Suppose -q - w = 4*f, -20 = -q - 0*f + 5*f. Suppose -756 + 266 = -q*u. Calculate the remainder when u is divided by 20.
18
Suppose 0*t - 3*g - 105 = -t, 5*g - 273 = -3*t. Suppose 0 = 3*i + 3*c - 5*c - 14, i + c = 13. Let m = 25 + i. Calculate the remainder when t is divided by m.
30
Let q = -427 - -467. Calculate the remainder when 90 is divided by q.
10
Let n = 9 - 6. Suppose 107 = n*w - 5*a, 2*a + 3*a - 38 = -2*w. Suppose 0 = 2*v + 3*t - 11, -2 = v - t + 5*t. Calculate the remainder when w is divided by v.
9
Suppose -4 = 7*v - 32. What is the remainder when 67 + (0/3 - v) is divided by 32?
31
Suppose 8*j = 11*j - 102. Suppose -j*s + 31*s = -477. Calculate the remainder when s is divided by 20.
19
Suppose -5*d = 4 + 11. Let p(x) = 5*x**2 - 2*x + 2. What is the remainder when p(d) is divided by 14?
11
Let h(k) be the third derivative of 0*k + 0 + 41/6*k**3 - 4*k**2 + 1/24*k**4. Calculate the remainder when h(0) is divided by 15.
11
Let z(x) = 2*x**2 - 4*x + 103. Calculate the remainder when z(13) is divided by 28.
25
Suppose -3*w - 4*l + 119 = 0, -w = -0*l - l - 35. Suppose 35*q + 88 = w*q. What is the remainder when 131 is divided by q?
43
Suppose o = -4*v + 63 - 7, 5*o - 314 = -3*v. Let j = 18 - o. Let y = -14 - j. What is the remainder when y is divided by 18?
14
Let z(o) = 12*o + 5 - 1 - o**2 + 6*o. What is the remainder when 18 is divided by z(18)?
2
Let g(q) be the first derivative of 7*q**2/2 - 3*q + 1. Let r(t) = 2*t**2 + 6*t. What is the remainder when g(6) is divided by r(-5)?
19
Suppose -9*k = 88 - 16. Let m(b) = -3*b**2 - 25*b + 17. What is the remainder when m(k) is divided by 14?
11
Suppose -21 = -2*s + 5*b, -b - 30 = -4*s - 3*b. Suppose 0 = s*r + 29 - 109. Calculate the remainder when 19 is divided by r.
9
Suppose 4*u + 254*d = 249*d + 3508, -2*d = 0. What is the remainder when u is divided by 11?
8
Let w be (-56)/(-24) - -2*3/9. Let r = 25 + -4. Suppose -r = -3*x - l, x - 3 = -w*l + 4. Calculate the remainder when 26 is divided by x.
5
Let h(d) be the second derivative of -5*d**3/6 - 5*d**2 + d. Suppose -11*v - 35 = 31. What is the remainder when h(v) is divided by 7?
6
Let t(f) = f**2 - 8*f + 63. Calculate the remainder when t(-10) is divided by 80.
3
Suppose 3*n = -4*p + 14, -4*n + 7*n + 4 = 5*p. Suppose -17 = -3*c - n, -c + 31 = g. What is the remainder when g is divided by 9?
8
Calculate the remainder when 74/(-518) - 1229*2/(-7) is divided by 30.
21
Let s(c) = 6*c - 56. What is the remainder when s(17) is divided by (39/(-15) + 3)*40?
14
Suppose -d = 2*d + u - 18, 0 = -2*d - 3*u + 12. Suppose -d*j = 18 - 72. What is the remainder when 41 is divided by j?
5
Let l = 7442 - 7439. What is the remainder when 0/(-3 - -2) + 17 is divided by l?
2
Let g(p) = -p**3 - 15*p**2 - 3*p - 26. Let n be g(-11). Calculate the remainder when (-1)/2 - n/6 is divided by 20.
19
Suppose 3*l = l, -4*n + 8 = -4*l. Suppose 27 = n*b + b. Suppose 0 = -5*h - w + 84, 3*w - 7 = h - 27. Calculate the remainder when h is divided by b.
8
Suppose 4*n = -2*l + 338, 5*l = 16*n - 13*n + 845. Calculate the remainder when l is divided by 57.
55
Suppose 5*x + 4*q - 211 = 0, -x + 10*q - 235 = -6*x. What is the remainder when 427 is divided by x?
37
Let d = 4 - 1. Suppose 5*w = 30 + 10. Suppose 5*r - w*r = -27. What is the remainder when r is divided by d?
0
Suppose 2*p = -5*o - 151 + 388, -5*p + 642 = -4*o. Calculate the remainder when p is divided by 16.
14
Suppose 4*d + 44 = -3*n, d = n - 0*d + 10. Let i = 13 + n. What is the remainder when 2 is divided by i?
0
Suppose 79*z = 77*z + 3*y + 90, z = y + 45. Calculate the remainder when 58 is divided by z.
13
Let v(l) = -9*l - 1. Let a = 13 + -8. Suppose 10*g - a*g - 10 = 0, 2*g - 60 = -4*d. Calculate the remainder when v(-3) is divided by d.
12
Let u = -8 - -16. Suppose 29*j - 105 = 8*j. Calculate the remainder when u is divided by j.
3
Suppose -7*f = -2*f - 315. Let j = -9000 + 9008. Calculate the remainder when f is divided by j.
7
Let b = -65 - -71. Suppose b*o + 4*o - 1710 = 0. What is the remainder when o is divided by 58?
55
Suppose -5*s - x - 44 + 224 = 0, -190 = -5*s - 3*x. Calculate the remainder when 445 is divided by s.
25
Let n(w) be the second derivative of 3*w**3/2 - 3*w**2 + 12*w. What is the remainder when 81 is divided by n(3)?
18
Let h = -93 - -85. Calculate the remainder when h/(-3)*(-1 + (1 - -24)) is divided by 23.
18
Let q(a) = 5*a - 41. Let b be q(20). Let l = b - 42. Calculate the remainder when 50 is divided by l.
16
Suppose 2 = 7*x - 110. What is the remainder when 61 is divided by x?
13
Let p = 99 + -23. What is the remainder when p is divided by 26?
24
Suppose 4*v = 3*h - 3706, 10*h = 8*h + 3*v + 2472. Calculate the remainder when h is divided by 16.
14
Let r(l) = 8*l + 19. Calculate the remainder when r(5) is divided by -3 - -21 - (0 - 6/(-3)).
11
Suppose 0 = 3*c + 2*f - 313, -2*c - 2*c - 5*f + 422 = 0. Let o = c - 38. Suppose -3*z = z - 88. Calculate the remainder when o is divided by z.
21
Suppose -4*q + 1 - 13 = 2*m, -3*m - 5*q - 21 = 0. Let x = 37 - m. What is the remainder when x is divided by 4?
1
Suppose -2*c + 5*s = -3*c + 3, -s = 2*c - 6. Let m be (0/3)/(-4 + c). Suppose 0 = j - 4, m = -3*l - j + 36 + 7. Calculate the remainder when 49 is divided by l.
10
Suppose -2*t - 96 = -5*t. Let c = t - 24. Calculate the remainder when 39 is divided by c.
7
Suppose 8*z - 4*z + 48 = 0. Let l be ((-9)/(-6))/(z/16). Let b(k) = 3*k**2 + 2. What is the remainder when 39 is divided by b(l)?
11
Let j = 40 + -19. Calculate the remainder when 2*((-183)/24)/((-9)/36) is divided by j.
19
Let d be 2/11 + (-36)/(-44). What is the remainder when (5/1)/(d/29) is divided by 37?
34
Suppose 5*i = q + 265, 4*i + 2*q = -q + 193. Suppose -6*r + 3*r + 40 = 2*w, -2*w = -3*r + 44. Calculate the remainder when i is divided by r.
10
Let c = 49 + -7. Let l = -5 + 5. Suppose -v = 2*a - 0 - 5, -3*a - 9 = l. Calculate the remainder when c is divided by v.
9
Suppose 14127 = 21*i - 4*i. Calculate the remainder when i is divided by 64.
63
Suppose 2*v - k = 3*k + 78, -v - 4*k = -27. Let g = 348 - 209. What is the remainder when g is divided by v?
34
Let t = 1531 + -1395. What is the remainder when 528 is divided by t?
120
Suppose -25 = 4*s - 5*s. Suppose 4*x - 850 = -6*x. What is the remainder when x is divided by s?
10
Let l(p) be the first derivative of 15*p**3 - p**2/2 + p - 4. Let f be l(1). Suppose -5*a + f = -125. Calculate the remainder when a is divided by 18.
16
Suppose 0*r - 98 = 2*n + 4*r, 2*r + 8 = 0. Let v = 70 + n. Suppose -3*u = g - 169, -4*g - 226 = -4*u - 6*g. Calculate the remainder when u is divided by v.
27
What is the remainder when 337 is divided by 35/(-10)*1968/(-56)?
91
Let j(d) = 8*d - 3. Let t(r) = 2*r - 12. Let m be t(9). Suppose -6*f + 3*f + m = 0. What is the remainder when j(f) is divided by 6?
1
Let y(q) = q**2 + 14*q - 11. Let z be y(-15). Suppose 40 = 2*r - 4*c, 0 = 4*r - z*c - 5 - 91. Calculate the remainder when 111 is divided by r.
27
Calculate the remainder when (222/21)/(-4*(-4)/112) is divided by 28.
18
Suppose 4*i - 4*z - 76 = 0, 35 + 62 = 3*i + 5*z. Let j(q) = 23*q + 619. What is the remainder when j(-23) is divided by i?
18
Suppose -8*a + 12 = -11*a. Let p = 11 - a. Calculate the remainder when p is divided by 7.
1
Let d be -1 - (580/(-4) - 0). Let z = d + -97. Calculate the remainder when z is divided by 16.
15
Let i(d) = d**3 + 3*d**2 - 5*d - 11. Let k be i(-5). What is the remainder when (10136/k)/(-2) - (-4)/18 is divided by 37?
30
Let o(q) = -q**2 + 5. Let j be o(0). Suppose -2*p + 75 = 3*b - 132, -j*p + 3*b = -549. Suppose 