8/9 - 32/b.
48
Let x = -114 - 35. Let y = 202 + x. What is the remainder when y is divided by 13?
1
Suppose 5*f = n + 2155, -3*n - 243 = -f + 174. Calculate the remainder when 446 is divided by f.
14
Let c(a) = -a**2 + 64*a - 178. Calculate the remainder when 399 is divided by c(3).
4
Suppose -c + 224 = 6*c. Suppose 0 = -13*w + 7*w + 1902. What is the remainder when w is divided by c?
29
Suppose h + h + 564 = 0. Let m = h + 395. Let y = -77 + m. Calculate the remainder when y is divided by 19.
17
Let u(a) = 0*a + 102 - 95 - 6*a. Calculate the remainder when 47 is divided by u(-3).
22
Let v = 3392 + -2883. Calculate the remainder when v is divided by 3.
2
Calculate the remainder when 5392 is divided by -87*(7 + -13 - -5).
85
Let b(i) = -i**2 + 3*i. Let f be b(3). Let s be (-66)/88 - 387/12. Let d = f - s. What is the remainder when 97 is divided by d?
31
Let b(s) = s**3 + 3*s**2 - 7*s - 6. Let c be b(-4). Let t = c + 14. Suppose 0 = -4*p + 14*p - 80. Calculate the remainder when t is divided by p.
4
Let k = 16001 - 14855. Calculate the remainder when k is divided by 373.
27
Let c = -628 + 1134. What is the remainder when c is divided by 36?
2
Let v = 30 - 6. Suppose z + q - 16 = 0, 3*q - v = -2*z + 3. Suppose 4*m - 2*l - 138 = 0, z + 11 = m - l. What is the remainder when 184 is divided by m?
36
Suppose 81*c - 35673 = 58*c. What is the remainder when c is divided by 8?
7
Let i = -1210 - -2213. What is the remainder when i is divided by 112?
107
Let q(i) = -1606*i - 57799. Suppose -d + 3*d - 1178 = 0. Calculate the remainder when d is divided by q(-36).
11
Let x(f) = -f + 11. Calculate the remainder when (341/(-155))/((-13)/65) is divided by x(0).
0
Suppose 3*g - 4*v - 121 = -37, v = 0. Suppose -i + 2*w + 126 = 0, -293 = -4*i + 2*w + 241. What is the remainder when i is divided by g?
24
Let l(n) = -n**3 + 5*n**2 - 3*n + 195. What is the remainder when l(0) is divided by 109?
86
Let v(c) = 2*c - 1. Let h = 583 - 1136. Let i = -545 - h. What is the remainder when i is divided by v(4)?
1
Let t(l) = 9*l + 721. What is the remainder when 3097 is divided by t(-69)?
97
Suppose 29*r + 23 = x + 32*r, -r = -x + 7. Let t(g) = 84*g**2 - g. Let i be t(-1). Suppose 6*u + i = x*u. Calculate the remainder when 50 is divided by u.
16
Let p(m) be the third derivative of m**4/24 + 31*m**3/3 - m**2 - 183. What is the remainder when 191 is divided by p(-23)?
35
Suppose 0 = 14*t + 14 + 42. What is the remainder when 17 is divided by ((-4)/2)/2*(-14 - t)?
7
Let u(r) = -30*r**2 + 86*r**2 - 52*r**2 + 10 - 13*r + 3*r**3. Calculate the remainder when 62 is divided by u(2).
14
Let l be 1*25 + 31 + -33. Suppose 12*w = l*w - 759. Calculate the remainder when w is divided by 16.
5
Let l(c) = c**2 - 3*c - 155. Let j be l(-11). Let w(n) = 166*n**2 - 9*n - 7. Calculate the remainder when w(j) is divided by 31.
13
Let i(n) = n**3 + 14*n**2 + 24*n + 2. Let x be i(-12). Suppose 5*u - 15 = 0, 4*d - x*u = d + 39. What is the remainder when 59 is divided by d?
14
Let s(x) = -3*x**3 - 8*x**2 - 30*x - 21. Calculate the remainder when 131 is divided by s(-2).
7
Let j = 3119 + -2146. Calculate the remainder when j is divided by 65.
63
Suppose -228 = 4126*z - 4131*z + 3*t, -3*z + 136 = -t. Calculate the remainder when (-4)/10 + (-1117)/(-5) is divided by z.
43
Let k(u) = 26*u + 819. Calculate the remainder when k(-11) is divided by 19.
1
Let u = 3115 - 3046. Calculate the remainder when 1998 is divided by u.
66
Let f = 782 + -2698. Let m = -1295 - f. Calculate the remainder when m is divided by 52.
49
Let c(v) = -v**3 + 13*v**2 + 29*v + 1. Let s be c(15). Let g be (-1)/(-2) - (-49)/s. What is the remainder when 92 is divided by 31*(-3 - 12/g)?
30
Suppose -5 = -n - 0, -4*j - 2*n = -10. Suppose j = i - 57 + 34. What is the remainder when i is divided by 15?
8
Let z = -4126 + 4578. Calculate the remainder when 1360 is divided by z.
4
Let m = 1255 - 720. Calculate the remainder when m is divided by 37.
17
What is the remainder when (-36)/(-20) - (-350052)/310 is divided by 96?
75
Let p(g) be the third derivative of g**6/60 - g**5/30 + g**4/4 + 38*g**2. Let q be (2 - 0)/(4/10). Calculate the remainder when p(q) is divided by 21.
20
Let b(x) = 6*x + 46. Let y(n) = 7*n + 46. Let d(a) = 6*b(a) - 5*y(a). What is the remainder when 214 is divided by d(-19)?
25
Let s = 120 + -448. Suppose 68 = 2*u - y + 14, u = -5*y + 38. Calculate the remainder when (-3)/(12/s*1) is divided by u.
26
Suppose -12604 = -18*p - 5*p. Let v = -534 + p. What is the remainder when 69 is divided by v?
13
Let m(d) = -12*d + 16. Let v(z) = -13*z + 19. Let j(c) = 4*m(c) - 3*v(c). What is the remainder when j(-9) is divided by 19?
12
Suppose 9*v - 15 = 6*v. Let b = v + 14. Calculate the remainder when b is divided by (-1 + -9)*(-1 + (3 - 3)).
9
Let h(f) = 22 + f - 33 + 0*f + 21. Let s(z) = z**2 + 3*z - 17. What is the remainder when h(10) is divided by s(-7)?
9
Let u = 9263 + -9137. Calculate the remainder when u is divided by 35.
21
Let j(s) = 95*s**2 + s + 2. Let u be j(2). Suppose 0 = -g + 7*g - u. Let o = g - 37. Calculate the remainder when 79 is divided by o.
25
Suppose r = -5*g + 229, g - 26 - 18 = -2*r. Let b = -19 + g. What is the remainder when 61 is divided by b?
7
Let c = 178 + -102. Suppose 469*q - 2332 = 257*q. Calculate the remainder when 1 + c - 3*1 is divided by q.
8
Let y be 1*(3 - 40)*-17. Calculate the remainder when 74/y + 404/34 is divided by 7.
5
Let u be 3 + (110/8 - 3/(-12)). Let b = u - 17. Calculate the remainder when 28 is divided by (15/(-4) + b)/(45/(-120)).
8
Let k(p) = -12*p - 5. Let b be k(14). Let s = -167 - b. Calculate the remainder when 43 is divided by s.
1
Suppose 5*a - 33 = -o, 10*o - 7*o + 3*a - 87 = 0. Suppose -3524 = -o*k - 52. What is the remainder when k is divided by 20?
4
Let y(f) = 3*f**2 - 12*f + 17. Let q be y(12). Suppose 0*r = 3*r + 15, q = 4*m - r. Suppose 0 = -3*b + 6*b - m. What is the remainder when b is divided by 14?
11
Let l(w) = w**3 - 17*w**2 - 37*w - 254. What is the remainder when 445 is divided by l(20)?
33
Suppose -40 = -o - o. Let p = 60288 - 60196. What is the remainder when p is divided by o?
12
Suppose 3*s - 19*c + 32*c = 44, 0 = 3*s - 3*c - 60. What is the remainder when 4958 is divided by s?
18
Suppose 2*g = -3*i + 56, 2*g = 3*g + i - 26. Suppose 2*c - g*c + 320 = 0. What is the remainder when 21 is divided by c?
5
Let v be (33/18 - 2) + (-279)/(-54). Suppose -37 = -g + 4*p, 54 - 12 = g - v*p. Calculate the remainder when 32 is divided by g.
15
Suppose 21636 = -254*z + 91740. What is the remainder when 3610 is divided by z?
22
Let i(w) = 58*w**2 + 24*w + 24. Calculate the remainder when 355 is divided by i(-1).
7
Suppose 0*w + 2*w = 2*v - 18, 4 = 2*w. Suppose -z = -4*i + 73, i - 4*z = z + 4. Let l = i + v. Calculate the remainder when 88 is divided by l.
28
Let h(j) = j**3 - 2*j**2 - 5*j - 1. Suppose -2*r + 73 = -2484*n + 2483*n, 4*r = 5*n + 179. Calculate the remainder when r is divided by h(4).
9
Let z(g) be the first derivative of 1/2*g**2 + 5*g - 24 - 8/3*g**3 + 1/4*g**4. Calculate the remainder when 38 is divided by z(8).
12
Let t(s) = s**3 - 15*s**2 - 2*s + 117. What is the remainder when t(15) is divided by 26?
9
What is the remainder when 189 is divided by (-22167)/(-351) + 7/(273/(-6))?
0
Let d(g) = g**3 - 22*g**2 + 8*g - 34. Let h be d(22). Suppose 32*b - 2318 = -h. What is the remainder when 270 is divided by b?
66
Let h be (-4 - 2) + -2 + -538. Suppose 4*u - 2*x = 10, -3*u - x = -4 + 9. What is the remainder when h/(-6) - (4 - u) is divided by 22?
21
Suppose 6122 + 16136 = 2*p - 3*m, 0 = p - 2*m - 11128. Calculate the remainder when p is divided by 85.
82
Let a = -1585 + 1762. Calculate the remainder when a is divided by 85.
7
Let s(x) = 2*x**2 + 9*x + 40. Suppose 15*w + 26 + 79 = 0. What is the remainder when s(w) is divided by 26?
23
Suppose 0*r + 4*r = 56. What is the remainder when 63 is divided by ((-51)/(-6))/(7/r)?
12
Suppose 0 = -2*r - 5*i + 96, -5*r - 38 + 173 = -5*i. Suppose -j - 2*j = -66. Calculate the remainder when r is divided by j.
11
Suppose 4247 = 17*j - 3845. Suppose -j = 7*f - 24*f. What is the remainder when f is divided by 6?
4
Let w = 806 - 752. What is the remainder when w is divided by 14?
12
Suppose -47*w - 4286 + 11