4. Let b(n) = n + 4. Let z be b(i). Let g(v) = 35*v**2 - v. Calculate the remainder when g(z) is divided by 6.
4
Suppose 0 = -2*y - 4*b + 2 + 336, 5*y + 3*b - 859 = 0. Calculate the remainder when y is divided by 58.
57
Let m(x) = 7*x - 1. Let d be (33/(-4))/((-7)/56). Suppose -5*a + d = a. What is the remainder when m(3) is divided by a?
9
Suppose -4*r + 26 = -2*o, -r - 2*o = 7 - 26. Let y(x) = x**3 - 21*x**2 - 23*x + 39. Calculate the remainder when y(22) is divided by r.
8
Let a(q) = q**2 - 2*q + 4. Suppose -4*n = -3*i + 5*i - 10, 4*i = -4*n + 20. Suppose 4*m + n*m - 16 = 0. Calculate the remainder when 20 is divided by a(m).
8
Suppose -1460 = -5*p - 2*d, -876 = -3*p + 5*d - 7*d. What is the remainder when p is divided by 6?
4
Let h = -24 + 149. Let c = h + -111. Suppose -n = 3*d - 155, -5*d + n + 122 = -147. Calculate the remainder when d is divided by c.
11
Let b = 25 + -21. Suppose -6 = b*y - 10*y. Suppose j - y = 35. Calculate the remainder when j is divided by 10.
6
Suppose 25*b - 30*b + 450 = 0. Calculate the remainder when b is divided by 31.
28
Suppose -10*m = -m - 531. Suppose -y + m + 26 = 0. What is the remainder when y is divided by 8?
5
Let m(k) = -2*k - 19. Let v be m(-10). What is the remainder when (v - -2)*130/6 is divided by 24?
17
Suppose 2*k - 7*k = 25, -5*k = -h + 195. Suppose -3*z + h = -z. Calculate the remainder when z is divided by 43.
42
Let t(s) be the third derivative of 3*s**5/20 + 7*s**4/24 - 3*s**3/2 + 6*s**2 + 2. Calculate the remainder when t(2) is divided by 11.
8
Let m(z) = 9*z - 3*z + 2 - 2*z + 2*z**2 + 3*z. Calculate the remainder when 49 is divided by m(-5).
15
Calculate the remainder when 106 is divided by 33 + 15/5 + 2.
30
What is the remainder when 53 is divided by 16/(-10) + (-480)/(-50)?
5
Suppose -4*v + 13 + 15 = 0. Suppose -w = -2*z - 3, 5*w + 5*z - 19 - 71 = 0. Let p = -10 + w. What is the remainder when v is divided by p?
1
Let f = 478 - 290. Suppose -5*r + f = -r. Suppose -2*m = 3*h - 0*h - r, 55 = 3*h - 2*m. Calculate the remainder when 49 is divided by h.
15
Suppose 2*w - 5*x = 15, -w - 5*x + 6 - 21 = 0. Suppose w = 2*c + 24 - 36. What is the remainder when 19 is divided by c?
1
Let w = -607 - -1092. What is the remainder when w is divided by 27?
26
Let a = 20 - -19. Calculate the remainder when a is divided by 8.
7
Suppose 0 = 5*t + 3*z - 68, 0 = -t - 14*z + 17*z + 10. Calculate the remainder when 154 is divided by t.
11
Suppose -i - 8*o + 7*o = -6, -2*i = 5*o + 3. What is the remainder when 96 is divided by i?
8
Suppose 3*b + 5*z - 70 = 2*b, 4*z = 20. Suppose 0*r - 5*r = -b. Suppose 0 = -3*l - 4*p - p - 2, -16 = -4*l - 2*p. What is the remainder when r is divided by l?
3
Let c = -673 + 706. Calculate the remainder when 824 is divided by c.
32
Suppose -4*l + 9*l = 275. Let t be ((-5)/(-3))/((-7)/(-84)). Calculate the remainder when l is divided by (4/(t/(-35)))/(-1).
6
Suppose 12*o + 344 = 872. What is the remainder when 72 is divided by o?
28
Let l(g) = g**3 - 11*g**2 + g + 4. Suppose -4*x + 4*f + 29 + 23 = 0, -x - 5*f + 1 = 0. What is the remainder when l(x) is divided by 9?
6
Let y = 140 - 137. Suppose -i - y*z + 116 = 0, -z - 3 = 2*z. Calculate the remainder when i is divided by 30.
29
Let h(z) = -3*z + 3. Let u be h(-12). Let n = -15 - -76. Calculate the remainder when n is divided by (-3 - 0) + (u - 5).
30
Let z = 1628 - 1608. Calculate the remainder when z is divided by (1 - 7)*-1*1.
2
Let j(p) = -4*p**3 + p**2 + 3*p + 1. Let q be j(-3). Let n = 156 - q. Suppose -4*k + 108 = 4*c, -c = -5*c + 12. What is the remainder when n is divided by k?
23
Let x(q) = -q**3 - 5*q**2 - 5*q + 5. Suppose -15*r = -13*r - 116. What is the remainder when r is divided by x(-5)?
28
Suppose -4*q = 4*d - 204, 41*d + 96 = 43*d + 4*q. What is the remainder when 91 is divided by d?
37
Let g = -46 - -31. Calculate the remainder when 11 is divided by 5/(-15)*(g - 3).
5
Let h(c) = -c**2 - 33*c - 33. Calculate the remainder when h(-23) is divided by 19.
7
Suppose 0 = 15*p + 25 - 445. What is the remainder when p is divided by 10?
8
Let f(z) = z**3 + 2*z**2 - 3*z. Let k = 677 - 651. Calculate the remainder when k is divided by f(2).
6
Suppose 2*h = -3*y + 4*y - 2, 0 = -5*y - 5*h + 40. Let a(l) = l - 3. Let q be a(0). Calculate the remainder when (-21)/14*58/q is divided by y.
5
Let v be ((-296)/24)/((-2)/(-24)). Suppose -u = -2*h + 27, h - 8 = 3*u + 8. Calculate the remainder when ((-1)/2)/(2/v) is divided by h.
11
Let k(w) = -31*w**3 - 4*w**2 - 2*w + 2. What is the remainder when 214 is divided by k(-1)?
28
Suppose 5*y + 34 = 5*r + 14, 0 = 2*r + 3*y - 28. Let l(n) = n**3 - 3*n**2 - 6*n + 3. Calculate the remainder when l(5) is divided by 1 + 4/(r/14).
7
Suppose -3*c = -4*c + 29. Calculate the remainder when c is divided by (-2 - 1)/(-3*(-3)/(-30)).
9
Let k = -267 + 692. Suppose 0 = g + 4*g + 4*a - 520, 4*g + 5*a = k. Calculate the remainder when g is divided by 34.
32
Let q = -77 + 194. What is the remainder when q is divided by 2/((-1*(-3)/9)/5)?
27
Let u be 2 + -1 + 1 + 3. Suppose -2*q = -5*q + 12. Suppose 2*g - q*l = 102, 3*g = -0*l - u*l + 175. What is the remainder when g is divided by 14?
13
Suppose -7*b + 26 = -16. What is the remainder when ((-30)/(-5) - b/2) + 19 is divided by 8?
6
Let i = 172 + -164. What is the remainder when 61 is divided by i?
5
Let k(j) = -5*j**3 + 3*j**2 + 6*j + 2. What is the remainder when 97 is divided by k(-1)?
1
Suppose 3*z - 218 = -26. Let p = z + -20. What is the remainder when p is divided by 15?
14
What is the remainder when (-7 + 37)/3 + 30 is divided by 15?
10
Suppose 2*k + 3*d = 15, 5*k - d = -4*d + 15. Suppose 5*p - 5 = -k. Suppose -2*w - p = -5. What is the remainder when w is divided by 2?
0
Let c be 1 - 4*(-2)/4. Suppose c*b - 7 = 2. Let z(v) = v**2 - 3*v - 1. Calculate the remainder when z(-2) is divided by b.
0
Let g = 468 - 435. Let c(j) = 8 - j - 2*j - 9*j + 3*j. Calculate the remainder when c(-10) is divided by g.
32
Suppose -5*k = -3*k - 18. Let n(t) be the first derivative of t**4/4 - 8*t**3/3 + 25*t + 43. What is the remainder when n(8) is divided by k?
7
Calculate the remainder when 21 is divided by 10*((-16)/(-40) + 0/2).
1
Let s be -47*(2 - 3)*-1. Let l = 12 + -6. What is the remainder when (-4)/10 + s/(-5) is divided by l?
3
What is the remainder when 77 + -83 + (175 - 0/(-1)) is divided by 52?
13
Let g be 540/28 - (-4)/(-14). Let t = g - -4. Calculate the remainder when 45 is divided by t.
22
Let f(k) = -7*k**3 + 2*k - 4. Calculate the remainder when 1334/14 - (-4)/(-14) is divided by f(-2).
47
Let q(a) = a + 1. Let d(h) = 2 - 1 + 12*h + 4 + 6. Let y(c) = -4*d(c) + 44*q(c). What is the remainder when y(-6) is divided by 5?
4
Let v(z) = -12*z - 16. What is the remainder when 31 is divided by v(-2)?
7
Let r = 558 + -544. What is the remainder when 17 is divided by r?
3
Calculate the remainder when ((-130)/13 + 8)/((-2)/2203) is divided by 49.
47
Let n = 131 + -128. Suppose 0 = -n*h - 5 + 50. What is the remainder when 23 is divided by h?
8
Let r be (-3)/(-3) + 0 + -17. Let i = r + 36. Calculate the remainder when 78 is divided by i.
18
Let c(u) = u**3 - 19*u**2 + 8*u - 82. Calculate the remainder when c(19) is divided by 3.
1
Let c(r) = 13*r. What is the remainder when (-341)/22*1*(-2 - (-1 + 3)) is divided by c(1)?
10
Let i(r) = 2*r**2 - 3*r. Let w be i(2). Let g be (1 + 22/8)/((-201)/(-1072)). Suppose w*t - 4 - g = 0. Calculate the remainder when t is divided by 5.
2
Suppose -15 = w - 420. Suppose -3*h + w = -3*x, 2*x + 532 = 3*h + h. What is the remainder when h is divided by 15?
11
Let p be (3 - 5 - -5) + 1. Suppose -5*n - p*t + 298 = 85, 2*n = -3*t + 88. Calculate the remainder when n is divided by (-3 - 31/(-3))*3.
19
Let d = 452 + -440. What is the remainder when d is divided by 4?
0
Let t(c) = -c**3 - 9*c**2 - 8*c. Let k be t(-8). Suppose k = -5*x + 33 + 22. Let l = 13 + 8. Calculate the remainder when l is divided by x.
10
Let p(w) = -17*w**3 + 2*w**2 + 2*w + 1. Let i(u) = u**3 - 18*u**2 + 3*u - 3. What is the remainder when i(18) is divided by p(-1)?
15
Suppose j = 4 + 74. Calculate the remainder when 155 is divided by j.
77
Suppose 5*w - 4*f = 60, -3*w - w - 4*f = -48. Let j = 1 + -7. Let n(y) = y**3 + 8*y**2 + 6*y + 9. What is the remainde