 -f + 5*f = -3*a - 16, -2*f - 8 = -2*a. Calculate the remainder when (31/3)/(f/(-12)) is divided by 12.
7
Let q = 2503 - 2447. What is the remainder when 442 is divided by q?
50
Suppose 0 = 46*z - 47*z + 8. Suppose z*m = -266 + 826. Calculate the remainder when m is divided by 9.
7
Calculate the remainder when 424 is divided by (5 - (-78)/(-18))*3*43.
80
Suppose 3*b + 3*m = 5*b - 23, -13 = -b + 2*m. Suppose b = -2*j + 15. Calculate the remainder when 10 is divided by j.
2
Suppose 25 = -5*t, -2*j - 17 = 2*t + t. Let z(u) = -8*u**3 - u**2 + u + 1. Let x = 44 + -31. What is the remainder when x is divided by z(j)?
6
Suppose 3 = -2*v - 5. Let x be ((-1)/1)/(v/(-12)). What is the remainder when 26 is divided by 69/5 + x/(-15)?
12
Suppose 4*c = 5*h + 1, 1 = h - 0*c - 2*c. What is the remainder when 42 is divided by ((-4)/h)/(-24) - 182/(-12)?
12
Let h(b) = b**3 + 5*b**2 + 4*b + 4. Let v be h(-4). Suppose -v*x + 393 = 5*q, -51 = -q - 2*x + 24. What is the remainder when q is divided by 21?
18
Let m = -22 - -26. Suppose 4*p - m*t - 4 = p, p + t = -1. Suppose 5*j = -3*c + 69, 5*c - 115 = j - p*j. Calculate the remainder when c is divided by 13.
10
Let x(u) = -u - 3. Let i be x(-3). Let z(s) = -s**2 + s + 16. What is the remainder when z(i) is divided by ((-88)/33)/((-192)/648)?
7
Let o = -101 - -163. Calculate the remainder when o is divided by 7.
6
What is the remainder when 183 is divided by (5/2)/(-6 - 847/(-132))?
3
Let h = 40 - 90. Let c = h - -98. Suppose -3*x + 4*x - 17 = 0. What is the remainder when c is divided by x?
14
Suppose f + 12 = -f. Let d = 18 + f. Calculate the remainder when 45 is divided by d.
9
Let i(r) = -2*r + 3. Let s be i(0). Let j(y) = -7 - s + 4 + 3*y - 9. What is the remainder when 6 is divided by j(6)?
0
Let x = -1162 - -1169. What is the remainder when 19 is divided by x?
5
Suppose -32*j + 242 = -21*j. Let p(b) = -b**2 - 21*b - 18. Calculate the remainder when p(-16) is divided by j.
18
Let m = 1975 - 1843. What is the remainder when 378 is divided by m?
114
Let d(z) = z**3 + 6*z**2 - 11*z - 7. Let p(u) = u**3 - 11*u**2 - 26*u - 7. Let j be p(13). Calculate the remainder when 79 is divided by d(j).
16
Let n = -627 - -728. What is the remainder when n is divided by 17?
16
Suppose 2*i + 4 + 2 = 0. Let l = 92 - 89. What is the remainder when 107 is divided by (30 - (-3 + l)) + i?
26
Let g(k) = k**2 + k - 10. Let a be g(-4). Let v = 88 - a. What is the remainder when v is divided by 22?
20
Let u(h) = -10*h + 22*h**2 - 8*h**2 - 15*h**2 - 2. Let x(r) = -14*r - 3. Calculate the remainder when x(-2) is divided by u(-9).
4
Let g(h) = h**2 - 4*h - 3. Let x be g(3). Let s be (1 - 1)/(4 + x). Suppose 5*i = -p, s*p - i = p - 20. Calculate the remainder when p is divided by 9.
7
Let t = -26 + 29. Suppose 0 = t*v + 3*c - 42, -v + 4*c = 4*v - 34. Calculate the remainder when 29 is divided by v.
9
Let c be -2 + 3 + (-8)/(-2). Suppose 0 = 4*j + 2*o - 172, 2*o - 133 = -3*j - c. What is the remainder when 84 is divided by j?
40
Let l = 19 + -38. Let v = 47 + l. Suppose -3*t = t - 5*n - 60, -75 = -5*t + 3*n. Calculate the remainder when v is divided by t.
13
Let l(a) = -4*a - 16. Let j be l(-5). Let n = j + 8. Let m(c) = c**3 - c**2 - 2. What is the remainder when m(4) is divided by n?
10
Suppose -u - a = u + 1, 31 = 3*u - 5*a. Let s = 30 + -13. Calculate the remainder when s is divided by 18/1*u/4.
8
Let o be (4/10)/((-3)/(-60)). Suppose 2*w = 2, 3*k - o = -0*k + w. Suppose 0 = -k*g + 160 + 2. What is the remainder when g is divided by 19?
16
Let k(g) = 2*g + 3. Let m be k(-13). Let l = 62 + m. Calculate the remainder when l is divided by 20.
19
Let z = 1 - -14. Let i be 5 - 2/3*3. Let g = 26 + i. Calculate the remainder when g is divided by z.
14
Let y be 6/(-15) - 2742/(-30). Suppose -y = -5*l - h + 81, 138 = 4*l + h. Suppose -4*z - l = -142. Calculate the remainder when z is divided by 7.
6
Let x = 57 + -90. Let l = 9 - x. Let b = 59 - 44. What is the remainder when l is divided by b?
12
Let j(c) = 5*c**2 + 57*c + 411. Calculate the remainder when j(-9) is divided by 80.
63
Suppose 0 = -4*m + 5*f + 108, -3*m = 13*f - 8*f - 46. Calculate the remainder when 59 is divided by m.
15
Suppose 2552*d + 48 = 2558*d. Calculate the remainder when d is divided by (-88)/(-14) + (-4)/14.
2
Suppose 3*k - 3 = 9. Suppose 2*b = 5*s - 157, -5*s + 32*b = 29*b - 153. What is the remainder when s is divided by 262/14 - k/(-14)?
14
Let x be (9/(-2) + 4)*-52. Suppose -2*i + v + 30 = 0, 0*i = 2*i - 2*v - x. What is the remainder when 49 is divided by i?
15
Calculate the remainder when 202*1/2 - (-12 + 10) is divided by 18.
13
Suppose -15*p - 1736 = -77*p. Calculate the remainder when 43 is divided by p.
15
Let n(j) = 4*j**3 + 26*j**2 - 12*j - 27. Calculate the remainder when n(-6) is divided by 20.
17
Suppose -70*h - 602 = -77*h. What is the remainder when h is divided by 34?
18
Let l(s) = -3*s**3 + s - 7. Let w(x) = 2*x**3 + 3. Let f(i) = -2*l(i) - 5*w(i). Calculate the remainder when 19 is divided by f(-1).
4
What is the remainder when ((-288)/15)/((-6)/20) is divided by (-3)/(-2)*(3080/42)/10?
9
Let u(r) = -r**3 - 2*r**2 - 2*r + 13. Let o be (-5)/25 + (-236)/(-5). Let n = 85 - o. Calculate the remainder when n is divided by u(0).
12
Let u = 2 - 0. Suppose -23 = -u*d + 11. Suppose -2*z + 6 + 0 = 0. What is the remainder when d is divided by z?
2
Suppose 4*w - 77 = -3*w. Calculate the remainder when 1/5 + 2354/55 is divided by w.
10
Let s(c) = 6*c**3 + 4*c**2 + 4*c - 5. Calculate the remainder when s(2) is divided by 38.
29
Let x(a) = -1 + 2*a + 1. Calculate the remainder when 8 + (-10 - 5) - -52 is divided by x(6).
9
Suppose -2*c = 5*g - 193, 4*g = -2*c + 76 + 80. Calculate the remainder when g is divided by 3.
1
Let d(w) = -3*w**2 + w. Let p be d(-1). Calculate the remainder when 5 is divided by 7/2 + (-2)/p.
1
Suppose -4*p = 2*v - 654, -5*p + 1113 = 4*v + 291. Calculate the remainder when p is divided by 15.
12
Let n(c) = c**2 + c - 4. Let h be n(6). Suppose p - 2*p = -s + 8, -p - h = -4*s. What is the remainder when 39 is divided by s?
9
Let q be -3 - -97 - 8/6*3. Calculate the remainder when 44 is divided by (-12)/9*q/(-5).
20
Let b(j) = 4*j + 44. Let u be b(0). Suppose 27 = 47*v - u*v. Calculate the remainder when v is divided by 4.
1
Suppose 4*l = -l - z + 563, 5*l - 557 = -4*z. Calculate the remainder when 1127 is divided by l.
110
Let t = 415 + -353. Calculate the remainder when t is divided by 36.
26
Suppose 3*f - 385 = -2*f. Let y = -1 - -5. Suppose 3*p - 209 = -4*x, -y*x + f = p - 134. What is the remainder when x is divided by 11?
9
Suppose -10*b - 172 = -302. Suppose -4*p + 16 - 4 = 0. Let a = 39 - p. What is the remainder when a is divided by b?
10
Let h be ((-6)/(-4))/((-6)/(-8)). Suppose -h*q + 5 = -95. Suppose -3*v = -q - 73. Calculate the remainder when v is divided by 14.
13
Suppose -5*p = -79 - 81. Suppose -13*m + 17*m - 148 = 0. Suppose -8 = -5*x + m. What is the remainder when p is divided by x?
5
Let z be ((-13)/((-52)/168))/(3/(-2)). Let r = z + 52. Calculate the remainder when r is divided by 14.
10
Let u = 5 - 3. Suppose 0 = -4*x - 20, x = -5*k - u*x + 5. Suppose 0*y = -k*y + 44. Calculate the remainder when 54 is divided by y.
10
Calculate the remainder when -6 - (-207 + 2) - -6 is divided by 70.
65
Suppose -5*z = -0*z - 215. Suppose -2*h = 2*l - 13 - 11, h - 5*l - 12 = 0. Calculate the remainder when z is divided by h.
7
Let x = 128 + -65. What is the remainder when x is divided by 13?
11
Let m = 94 + -63. Suppose 3 = -2*y + 7. Suppose -7*q = 5*x - 2*q - 65, 0 = y*q - 4. What is the remainder when m is divided by x?
9
Let f(p) = p**2 - 20*p - 16. What is the remainder when 316 is divided by f(23)?
51
What is the remainder when (21/9)/((-1)/(-21)) is divided by 8?
1
Let p(y) = -y + 21. Let f = -48 + 57. Calculate the remainder when p(-5) is divided by f.
8
Suppose 8*j + 81 = 3*a + 11*j, 2*a = 2*j + 66. What is the remainder when 1617 is divided by a?
27
Let f(v) = v**3 - 4*v**2 - 3. Let h = -280 - -191. Let s = -71 - h. Calculate the remainder when f(6) is divided by s.
15
Let v = 18 + -4. Let u = -11 + v. Suppose 0 = u*z + 4 - 19. What is the remainder when 17 is divided by z?
2
Suppose 0 = -4*p - 102 + 134. Calculate the remain