v) is divided by 5.
3
Let o(w) = -w**3 + 5*w**2 + 7*w - 2. Let b(c) = 2*c. Let k be b(3). Let h be o(k). Suppose -3*p = -p - h. What is the remainder when 7 is divided by p?
1
Suppose 5*r - 4 = -o, o + 60 = 6*o + 5*r. Let v = -20 + 24. Calculate the remainder when o is divided by v.
2
Let c(b) = -b**3 - b**2 - b + 2. Let u be ((-6)/12)/(2 - 14/8). What is the remainder when 39 is divided by c(u)?
7
Suppose -5*c - 3*g + 829 = 0, 21*c - 503 = 18*c + g. What is the remainder when c is divided by 34?
31
Suppose -g - u + 66 = g, -5*u - 112 = -3*g. Suppose -3*l - 3 = -c, -2*c - 2*c = -l - g. What is the remainder when c is divided by 2?
1
Let s = 55 - 2. Suppose 0 = 2*c - 2*l - 152, -c - 2*l - 308 = -5*c. Let r = c - s. What is the remainder when r is divided by 14?
11
Let n be (-5)/((-15)/(-69))*-1. Suppose -5*q + n = -42. What is the remainder when 63 is divided by q?
11
Suppose 50*o = 56*o - 1452. What is the remainder when o is divided by 35?
32
Suppose -2*n - 2 = 26. Suppose -4*u + 57 = 3*h, 0*u = 5*u + 3*h - 75. Let z = u + n. What is the remainder when 10 is divided by z?
2
Suppose -1 = -l + 13. Let r be 194/l - (-8)/56. Suppose a - 3*a + r = 0. Calculate the remainder when a is divided by 4.
3
Suppose 3*h + 0*h + 4*o - 12 = 0, h - 5 = -o. Calculate the remainder when 24 is divided by h.
0
Let n be (-8 - -10) + 4/2 + 1. Suppose 0 = 3*y - n*l - 59, 0 = l - 1 - 1. Calculate the remainder when y is divided by 3.
2
Let x = -19 - 3. Suppose -4*c = -2*s + 70 + 16, 0 = 5*s - 2*c - 191. What is the remainder when s is divided by 4/x + (-435)/(-33)?
11
Suppose 3*k - 528 = -5*j + 332, 0 = -3*j - 5*k + 532. Let u = -96 + j. Let x(g) = 2*g**2 - 10*g + 7. What is the remainder when u is divided by x(6)?
16
Suppose -4*q = -4*m, 3*m = 3*q - m - 4. Calculate the remainder when 35 is divided by q/6*27/(-1).
17
Suppose 12*x = 14*x - 68. Let w = -1 + x. What is the remainder when w is divided by 5?
3
Let v(g) = 2*g**2 + 15*g + 54. Calculate the remainder when 76 is divided by v(-3).
22
Suppose -4*s - 3*s = 14. What is the remainder when 9 is divided by s/8*-4 + 7?
1
Let p(a) = -a**3 - 26*a**2 + 23*a - 49. Calculate the remainder when 187 is divided by p(-27).
10
Let w(k) = -3*k**3 - 5*k**2 - 3*k + 4. Let c = -115 - -108. What is the remainder when w(-3) is divided by (-92)/c + 2/(-14)?
10
Suppose 0 = 5*k - 0*k. Let a = 14 - 12. Suppose -n - 4*p - a = k, 38 = 5*n + p + 10. Calculate the remainder when 10 is divided by n.
4
Calculate the remainder when 84 is divided by 21/((0 - 1)/((-252)/108)).
35
Let o(i) = i**3 - 10*i**2 - 9*i - 8. Suppose -14 = 4*y - 58. Suppose 8 = 2*g, 4*h - 3*g - 40 = -5*g. Calculate the remainder when o(y) is divided by h.
6
Let v = 2145 + -1183. Calculate the remainder when v is divided by 46.
42
Let s = 383 - 302. What is the remainder when s is divided by 22?
15
Let d(x) be the first derivative of 4*x**3/3 - 7*x**2/2 + 7*x - 39. Calculate the remainder when 80 is divided by d(4).
37
Suppose 0 = j - r - 4*r - 18, -4*r - 27 = -5*j. Suppose 0 = v - 2*t - 5, -j*t + 1 = -v + 6. What is the remainder when 13 is divided by v?
3
Let f(o) = o**3 - 11*o**2 - 10*o - 14. Suppose -2*i + 5*d + 38 + 33 = 0, -3*d = i - 41. Calculate the remainder when i is divided by f(12).
8
Suppose -231 = -5*q + 3*m, -2*m - 21 = q - 75. Suppose -3*l + 66 = -3*b, 2*l + 2*b + 2*b = 20. What is the remainder when q is divided by l?
12
Suppose -23*d = -4*d - 1254. What is the remainder when 657 is divided by d?
63
Let y(c) = c**3 + 5*c**2 - 5*c + 8. Let f be y(-6). Suppose 0 = 3*b - 3, -3*b = f*a - 1 - 62. Let h = -16 + a. What is the remainder when 25 is divided by h?
11
Suppose -2*j + 26 = 2*b, b + 5*j = 6*j + 7. Suppose 2*a - 4 = -0. What is the remainder when b is divided by a?
0
Suppose g = 4*r - 71, -r + 6*r - 93 = -3*g. Calculate the remainder when 124 is divided by r.
16
Let v(s) = -3*s**2 - 229*s + 217. Suppose -4*b + 2 = 10. What is the remainder when v(-77) is divided by -5*(64/(-10) - b)?
19
Suppose 17*l - 402 + 11 = 0. What is the remainder when l is divided by 4?
3
Suppose 8*s - 1097 = -4*f + 11*s, 0 = -3*f - 2*s + 844. Calculate the remainder when f is divided by 71.
65
Suppose -1725 = -3*c - 12*c. Calculate the remainder when c is divided by 61.
54
Let s = 42 + -22. Suppose f + l - 4*l - 15 = 0, -4*l - s = 3*f. Suppose -5*t - 15 = 0, f*a + 25 = 4*a + t. What is the remainder when 17 is divided by a?
3
Let r(v) = -v**3 - 2*v**2 + v + 139. Let l = -89 - -136. What is the remainder when r(0) is divided by l?
45
Calculate the remainder when 2/(-8) + 15/(-4) - -81 is divided by 19.
1
Let x(c) = -c - 10. Let i be x(-5). Let o = 40 - i. What is the remainder when o is divided by (18/11)/((-1044)/(-7656))?
9
Let b(n) = -22*n - 13. Let k be b(-7). Let p = k - 90. What is the remainder when p is divided by 13?
12
Suppose 0 = 38*l - 19*l - 77463. What is the remainder when l is divided by 120?
117
Let b be ((-1)/(-3))/((-4)/(-48)). Suppose b*r - 17 = 51. What is the remainder when (-6 + 10)*(-134)/(-8) is divided by r?
16
Suppose -3*m = -c - 134, -3*c + 2*c + 1 = 0. Let q = 59 - m. What is the remainder when 68 is divided by q?
12
Suppose -2*y - 34 = -r, -4*y + 3*y + 4*r = 31. What is the remainder when (-3)/y - 1428/(-10) is divided by 36?
35
Let v(g) = g**3 + 11*g**2 - 14*g - 5. Let d be v(-12). Suppose -110 = -5*f - 0*k - 2*k, d = f + k. Calculate the remainder when 116 is divided by f.
20
Let m = 109 - 103. Suppose 3*l = l + 4. Suppose 4*s + 14 = -3*r, l*s + 13 = 3. What is the remainder when m is divided by r?
0
Suppose -3*y + 123 = 5*z, -13 = -4*y - 29. What is the remainder when z is divided by 6?
3
Suppose g = 3*m, g + 10 = m + 4*g. Suppose -m = k, -4*k + 50 - 15 = 3*i. Let a = 17 - i. What is the remainder when 9 is divided by a?
1
Let u(j) = j**3 - 6*j**2 + j - 12. Let a be u(6). What is the remainder when 24 is divided by 1 - 1 - (a - 2)?
0
Let i = -1687 + 1712. What is the remainder when 2823 is divided by i?
23
Suppose 2*d - 84 - 140 = 3*j, 4*j = -8. Let k = d - 27. Calculate the remainder when k is divided by 21.
19
Let h(q) = -q**3 + 15*q**2 - 24*q - 19. What is the remainder when 41 is divided by h(13)?
6
Suppose -43 = -5*g - 13. Let y(r) = -r**3 + 6*r**2 + 3*r + 7. What is the remainder when 68 is divided by y(g)?
18
Let w(a) = a**3 + 10*a**2 - 11*a - 5. Let v be w(-9). What is the remainder when (v*3)/5 + -2 is divided by 21?
19
Let z = -22 + 10. Calculate the remainder when 27 is divided by ((-3)/z)/(-1) - 427/(-28).
12
Let u(q) = -8*q + 2. Let o be 1710/(-27)*(9 - 0). What is the remainder when o/(-20)*(-14)/(-3) is divided by u(-4)?
31
Let v(c) = 15*c - 155. What is the remainder when v(19) is divided by 41?
7
Suppose -5*k - 5*l + 3*l - 31 = 0, 5 = -k - l. Calculate the remainder when (-1575)/(-49) - (-1)/k is divided by 12.
8
Suppose 0*n = -n + 5. Let m(y) = -6*y + n*y - 3*y**3 - 7*y**2 + 4*y**3 + 6*y + 8. Calculate the remainder when m(7) is divided by 15.
13
What is the remainder when (67 + -13)*8/6 is divided by 44?
28
Suppose 5*t + h - 4*h - 4 = 0, -5*h = -3*t + 12. What is the remainder when 4 - t*(68 - -3) is divided by 19?
18
Suppose -111 = -k - s - 3*s, 0 = 4*k - 4*s - 364. Suppose 2*l + 132 = -2*f, -2 = 2*l - 6. Let z = k + f. What is the remainder when z is divided by 10?
7
Suppose -4*k = -5*f - 3315, -k - f = 2*f - 816. Let g be 1/(k/(-411) - -2). What is the remainder when (-5)/20 + g/(-4) is divided by 9?
7
Let v = -23 - -49. Let q = 123 - v. Calculate the remainder when q is divided by 25.
22
Let c = -54 - -81. What is the remainder when 107 is divided by c?
26
Suppose -3*k + 4061 = 28*k. What is the remainder when 1439 is divided by k?
129
Let n(d) = -d**3 - 8*d**2 - 7*d + 6. Let i(y) = -2*y - 9. What is the remainder when n(-7) is divided by i(-6)?
0
Let k = -18 + 70. Let s = -50 + k. Suppose -3*u = 2*u + j - 15, -2*j = -u - 8. What is the remainder when u is divided by s?
0
Let l = 46 + -40. Suppose 0 = l*t - 3*t - 9. What is the remainder when 4 is divided by t?
1
Suppose 3*i = i + 36. Suppose 5*g = 83 + 82. Calculate the remainder when g is divided by i.
15
Suppose 92 = -12*r + 236. Calculate the remainder when 35 is divided by r.
11
Let x = -47 - -66. Let t be 1*(-177 - 3)*-1. Suppose -7*g + 2*g + t = 0. Calculate the 