3. What is the remainder when v(3) is divided by 4?
3
Suppose -5*z = -5*m - 155, -z + 5*m + 48 = 13. Suppose 2*b = 4*k + 44, -4*b = -5*k - 46 - 33. What is the remainder when z is divided by b?
14
Let x be (3/3*94)/2. Calculate the remainder when (x - 0)*(-2 - -3) is divided by -15 + 14 + 13 + 0.
11
Let x be 21/14 - 213/6. Let g = 28 + -46. Let l = g - x. Calculate the remainder when l is divided by 10.
6
Suppose 7 + 19 = -2*j. Let m = j - -17. Calculate the remainder when 7 is divided by m.
3
Let j(w) = -w + 1. Let z be j(-4). Suppose -3*s + 21 = 4*o - 0*s, z*s = 2*o - 43. What is the remainder when 26 is divided by o?
8
Let t(h) = 5*h - 6. Let r(l) = l**2 - 6*l + 1. Let j(u) = 7*u - 1. Let c(n) = 5*j(n) + 6*r(n). Let y be c(1). What is the remainder when 47 is divided by t(y)?
23
Let g = 33 - -166. Calculate the remainder when g is divided by 25.
24
Let z(j) = 15*j**2 + j - 3. Let i be z(3). Suppose -2*v = v + 2*b - 74, -i = -5*v - b. Calculate the remainder when (-3 - -2) + 55/1 is divided by v.
26
Suppose 4*q + 2*r = 216, -3*q + 9*r = 6*r - 144. Let u be 4/18 - 160/(-90). Calculate the remainder when q is divided by u - 32/6*-3.
16
Let x be (-4)/(-14) + 12313/(-49). Let z = 363 + x. Calculate the remainder when 1*-5*z/(-10) is divided by 19.
18
Suppose 4*h = -2*a + 66, a + 37 = 2*h + 6*a. Let f(k) = 8*k**2 - k + 4. Calculate the remainder when f(-3) is divided by h.
15
Let q(i) = 2*i**2 - 2*i + 1. Suppose 3*x + 10 = -4*h, x - 3*x = -4*h. Let c = h - -9. Calculate the remainder when q(3) is divided by c.
5
Let r(l) = -l**3 + 6*l**2 + 44*l - 238. What is the remainder when 25 is divided by r(7)?
4
Let b = -802 + 854. What is the remainder when 238 is divided by b?
30
What is the remainder when (8 + 2 - 3) + 520 is divided by 59?
55
Let y(z) be the third derivative of -5*z**4/24 + z**3/3 + 19*z**2. What is the remainder when 14 is divided by y(-2)?
2
Suppose 0 = -2*d + 27 + 11. Calculate the remainder when (2 + 0)/(1/13) is divided by (-23)/46 - d/(-2).
8
Let q(k) = -k - 1. Let y be q(-5). Suppose -12 = -4*a - y*h, 0 = a - 3*h - 7 - 8. What is the remainder when 58 is divided by a?
4
Let w(t) = t**3 - 16*t**2 + 14*t + 18. Let v be w(15). Suppose -v*g = -4 - 26. Calculate the remainder when 37 is divided by g.
7
Let m(c) = 24*c**3 + c**2 - c. Let j be m(1). Suppose 6*a = 11*a - 25. Calculate the remainder when j/(15/6 - 1) is divided by a.
1
Suppose -q = 2*d - 4 - 2, 4*q - 30 = -2*d. Suppose 4*w + 9 = 29. Suppose 4*p + 3*t = 92, -w*t - 92 = -2*p - 2*p. Calculate the remainder when p is divided by q.
7
Suppose 3*y = 4*y - 4*s - 106, 20 = 5*s. Calculate the remainder when y is divided by 56.
10
Suppose 0 = -332*g + 320*g + 2220. What is the remainder when g is divided by 94?
91
Suppose -119*f = -5696 - 2991. Suppose -5*l + 2*l + 78 = 0. Calculate the remainder when f is divided by l.
21
Let z(a) = a**2 + 12*a + 21. Suppose -g + 4*j + 64 = -5*g, -12 = g - j. Calculate the remainder when z(g) is divided by 26.
23
Let u(m) = -m - 5 + 2*m - 1 - 5*m. Let q be u(-6). Suppose -d + q = d + p, -3*d + 38 = -4*p. Calculate the remainder when 37 is divided by d.
7
What is the remainder when 183 is divided by (17 - 19) + 147/3?
42
Let d = -1696 + 1814. Calculate the remainder when d is divided by 18.
10
Let z(v) = v**2 + v + 30. Let d be z(0). Suppose 0 = -4*s + d + 6. Calculate the remainder when (-1 + s)*2 - 0 is divided by 6.
4
Let l(q) = 16*q**2 + q + 2. Let j be l(2). Suppose 3*k = -3*c - 112 + 316, -c + j = 2*k. What is the remainder when c is divided by 26?
16
Suppose 4*s = -93 + 165. What is the remainder when 49 is divided by s?
13
Suppose -138 = -5*b + 647. Let m = b + -80. What is the remainder when m is divided by 16?
13
Let d = -4050 + 4192. Suppose -7 - 138 = -5*z. What is the remainder when d is divided by z?
26
Let r = 450 - 263. Let v = 68 - 30. What is the remainder when r is divided by v?
35
Let g(a) = -a**2 + 6*a - 12. Let l be g(4). Calculate the remainder when 95 is divided by l + 38 - (1 + 2 + -1).
31
Suppose -9*c - 144 = -612. What is the remainder when c is divided by 11?
8
What is the remainder when 49 is divided by (-10 - -13) + -3 + 27?
22
Let t = -24 - -21. Calculate the remainder when 9 is divided by (12/14)/(t/(-14)).
1
Suppose 31*t = 6*t + 3825. What is the remainder when t is divided by 32?
25
Let h(b) = b**3 - 11*b**2 + b + 4. Let d(k) = k**3 + 8*k**2 - k + 3. Let n be d(-8). Calculate the remainder when h(n) is divided by 5.
0
Calculate the remainder when (3 + -19)/(-4) + 27 is divided by 12.
7
Suppose 45*m - 52*m + 154 = 0. Suppose -7*b - 5*p = -3*b - 237, b + 4*p - 51 = 0. Calculate the remainder when b is divided by m.
19
Let o(w) = -3*w. Let n be 10*(51/15 - 3). Suppose -4*h - 108 = -9*h + 2*b, n*h - 86 = 2*b. Calculate the remainder when h is divided by o(-2).
4
Let l = -7 + 47. What is the remainder when l is divided by 29?
11
Suppose 3*j - 119 = -2*f - 0*j, f = -4*j + 67. What is the remainder when f is divided by 10?
5
Let c = 826 - 659. Suppose 4*o - 26 = 30. Calculate the remainder when c is divided by o.
13
Let n = -35 + 35. Suppose g + 4*o - 45 = n, 2*o - o = -g + 48. What is the remainder when g is divided by (26/8)/((-2)/(-8))?
10
What is the remainder when ((-1)/4)/((-20)/14800) is divided by 8?
1
Let n(g) = 6*g**2 - 2*g - 2. Let a be n(2). Suppose -8*o = -2*o - a. Suppose -o*i + 11 = -2*i. What is the remainder when 19 is divided by i?
8
Let l = -343 + 357. What is the remainder when 175 is divided by l?
7
Suppose 3*u + 0*u = 3*d + 129, 4 = -u. Let l = -25 - d. Calculate the remainder when 108 is divided by l.
20
Let s(j) be the first derivative of j**4/4 - 2*j**3/3 + 2. Let q = 3189 + -3154. What is the remainder when q is divided by s(3)?
8
Let u be (-1)/(2/(-102)*3). Let x = u - 10. Calculate the remainder when 55 is divided by x.
6
Let b(w) = 3*w**2 - 4*w + 10. Suppose -t + 14 = 3*x, 0 = -0*x - 3*x - 3*t + 18. Let a = 35 + -20. Calculate the remainder when b(x) is divided by a.
12
What is the remainder when -33*(2 - -1)/(-3) is divided by ((-238)/18)/(-1) + 10/(-45)?
7
Let n be (-92)/(-230) - (67/5 - 1). Calculate the remainder when 158 is divided by (-975)/(-18) - (-2)/n.
50
Let r be (-3*(-1)/(-3))/((-1)/3). Suppose 3*f - 2*d - 197 = 2*d, 3*f - r*d = 198. Calculate the remainder when f is divided by 14.
11
Let s = -225 + 253. Calculate the remainder when 530 is divided by s.
26
Suppose -2*j = -0*j + 38. Let y = 22 + j. What is the remainder when 8 is divided by y?
2
Let n(c) = c - 4. Let s be n(5). Let i(z) = -z**3 - 2*z**2 - z - 3. What is the remainder when (3/2)/(s*(-6)/(-64)) is divided by i(-3)?
7
Let i(v) = -3*v - 34. Let q be i(-15). Suppose 14*x = q*x + 27. What is the remainder when 43 is divided by x?
7
Let g(k) = 14*k**2 - 4*k + 7. Let z = 105 + -103. Calculate the remainder when g(z) is divided by 16.
7
Let g = -69 - -74. Suppose d + g*f = 33, 5*d - 7*d + 3*f = -53. What is the remainder when 111 is divided by d?
27
Let n(o) = -2*o**2 - 20*o + 74. What is the remainder when n(-12) is divided by 5?
1
Let v be (1/2)/(3/18). Suppose 0 = 2*n - 3*m - 70, 2*n - 4*m = -v*m + 70. What is the remainder when n is divided by 13?
9
Suppose 0 = g + 3*s - 14, -3*g + 6*g - 3*s = 102. What is the remainder when 74 is divided by g?
16
Suppose 0 = 5*p + 3*t - 155, -t = p + 5 - 36. Calculate the remainder when 153 is divided by p.
29
Let q(m) = -38*m. Let g be q(-2). Suppose 0 = 2*d - a - g, 0 = -5*a + 3*a. What is the remainder when d is divided by 20?
18
Suppose 4*g = -5*k + 684, -10*k = 4*g - 9*k - 684. What is the remainder when g is divided by 22?
17
Suppose 0 = -4*p - 4, 4*g + p - 460 + 177 = 0. Calculate the remainder when g is divided by (7/3)/(2/18).
8
Let l(b) = b**2 - 18*b + 19. Let u be l(17). Suppose u*t + 0*w - 278 = -w, 4*w = -4*t + 548. What is the remainder when t is divided by 48?
45
Suppose -4*x = 2*l - 224 - 302, 5*l + 5*x - 1310 = 0. Calculate the remainder when l is divided by 44.
41
Let c(x) = 2*x - 2. Let z be c(3). Let k be 64 - 3/(-6)*2. Suppose k = f + z*f. What is the remainder when f is divided by 8?
5
Suppose 121 = 12*y - 179. Let z(q) = -47*q**3 + q**2. Calculate the remainder when z(-1) is divided by y.
23
Suppose -5*j - 3 = 2*m - 32, 0 = -5*j + 25. Suppose 4*n = 2*s + 6 + 