52. What is the remainder when v is divided by 16?
11
Let n = -10 - -22. Suppose 9*w = n*w - 72. Calculate the remainder when w is divided by 9.
6
Suppose -3*n - 12 = -75. Let m = -45 + 45. Suppose m = -n*o + 17*o + 20. Calculate the remainder when 21 is divided by o.
1
Let v = 804 - 129. What is the remainder when v is divided by 136?
131
Let h = 14 + -10. Suppose 5*c = h*b + 10, -4*b - 2 = -0*b - c. Suppose a - 5*v - 61 = -2*a, b = 3*a + v - 49. What is the remainder when a is divided by 9?
8
Suppose -d - 4*f + 28 = 0, 5*f - 4*f - 35 = -2*d. What is the remainder when 58 is divided by d?
10
Let d(s) = -s**2 + 9*s - 15. Let u be d(6). Suppose -7*x + u*x + 52 = 0. Calculate the remainder when 34 is divided by x.
8
Let v be 2 - (-1 - -3)/2. Let w be (-3 + v)/((-4)/74). Let q = 62 - w. What is the remainder when q is divided by 9?
7
Suppose 0 = -3*l + 19 + 122. Suppose 4*t - a - 120 = -4*a, t - l = -5*a. Let q = t - -12. Calculate the remainder when q is divided by 21.
18
Let z = -13 - -30. Let c = z - -8. Calculate the remainder when 48 is divided by c.
23
Suppose -127*p + 143*p = 3264. What is the remainder when p is divided by 24?
12
Suppose 6*i = 3*i. Suppose i = -0*r + r - 5*f - 15, 4*f - 46 = -5*r. What is the remainder when 18 is divided by r?
8
Suppose 3*m - 426 = 27*y - 32*y, 0 = -5*m - 2*y + 729. Calculate the remainder when m is divided by 43.
18
Let r = -153 - -167. What is the remainder when 36 is divided by r?
8
Let r be (-1)/3 + (-1743)/9. Let i = -122 - r. Calculate the remainder when i is divided by 37.
35
Suppose 4*h = 20 + 20. Let k(v) = -6*v - 11. Let u be 42/(-8) + 2/8. Calculate the remainder when k(u) is divided by h.
9
Suppose 7 + 8 = 5*x. What is the remainder when x is divided by ((-15)/10)/(6/(-8))?
1
Let q be (80/(-12) + 1)*-3. Suppose 3*l = -6*u + u + 54, -l = 2*u - q. Calculate the remainder when l is divided by 8.
7
Let s(h) = -3006*h + 21082. What is the remainder when s(7) is divided by (10/4 + 0)*6?
10
Let v = 0 + -4. Let h(s) = s**2 - 16*s + 79. What is the remainder when h(8) is divided by (-23)/(-4) - 1/v?
3
Suppose -4*z - 22 - 6 = 0. Let g = z - -5. What is the remainder when 19 is divided by (6 - 3) + 9 + g?
9
Let s = -36 + 41. Suppose 0 = s*h - h - 372. Suppose -5*k + 15 = 0, 0 = -3*t - 4*k - h + 297. What is the remainder when t is divided by 17?
13
Suppose 0 = -29*b + b + 84. Calculate the remainder when 67 is divided by b.
1
Let g = 16 - 1. Let b(z) = -6*z + 3*z + 5*z - g. What is the remainder when 50 is divided by b(16)?
16
Suppose 93 + 1043 = 8*x. What is the remainder when x is divided by 16?
14
Suppose 0 = 4*l - l - 30. Let q = l + -8. What is the remainder when -3 - (216/(-4) + q) is divided by 13?
10
Suppose -2*c + 0 = -y - 2, 0 = -2*y + c + 2. Let z be (-2175)/90 - y/(-12). Let i = 53 + z. Calculate the remainder when i is divided by 16.
13
Let z(r) = -3*r + 14. Let q = 24 + -30. What is the remainder when z(q) is divided by 7?
4
Suppose -3086 = 40*i - 9206. Calculate the remainder when i is divided by 52.
49
Let x = 253 + 88. What is the remainder when x is divided by 57?
56
Suppose 2*p = -5*v + 835, 0 = -2*v - 3*p + 203 + 142. Calculate the remainder when v is divided by 83.
82
Suppose 4*c - 3*c = 0. Suppose c = -4*y - 1250 - 5666. Calculate the remainder when 6/(-8) - y/28 is divided by 16.
13
What is the remainder when 1558 is divided by ((-117)/6)/(30/(-800)*5)?
102
Suppose 2*g = 2*d + 120, -273 = -3*g + d - 103. Suppose -2*x + g = 3*x. Let o = 244 - 224. Calculate the remainder when o is divided by x.
9
Let d(n) = -n**3 + 27*n**2 + 3*n - 65. What is the remainder when d(27) is divided by 5?
1
Let y = -178 + 220. Let b(r) = -r**2 - 9*r + 1. Calculate the remainder when y is divided by b(-7).
12
Let y(r) = 3*r**2 + 5*r - 4 + 2 + 1. Suppose -29*w - 240 = -41*w. What is the remainder when y(-6) is divided by w?
17
Suppose -5*g - 109 = -339. What is the remainder when 274 is divided by g?
44
Let n(v) = -5*v**3 + v + 1. Let o(t) = t + 6. Let w be o(-4). Suppose -4*a + 4 = -4*j, -j - 4*a = -w*a - 8. What is the remainder when n(-1) is divided by j?
1
Let d(c) = 2*c**2 + 9*c + 6. Calculate the remainder when 109 is divided by d(-6).
13
Suppose 0 = -6*h + 2*h + 2*p + 294, 0 = 4*h + 2*p - 282. Let v(b) = -b + 17. What is the remainder when h is divided by v(-8)?
22
Let a = 38 - 39. Let n(b) = 2*b**2 - b - 5. What is the remainder when ((-1)/3)/(a/117) is divided by n(3)?
9
Let z(n) = n - 5. Suppose 5*d = -7 - 8. Let k be -3*(32/(-6) - d). What is the remainder when 6 is divided by z(k)?
0
Calculate the remainder when 1897 is divided by ((-19)/9)/((-92)/828).
16
Let k(z) = 3*z + 5. Let b be k(5). Suppose -15 = 15*o - b*o. What is the remainder when 12 is divided by o?
0
Let n be (-1)/(10/4 - 3). Suppose -3*d + 39 = n*h, 0 = 4*d - 30 + 10. Calculate the remainder when h is divided by (-1)/((-13)/(-7) - 2).
5
Let b(y) be the second derivative of 5*y**4/12 + 4*y**3/3 + 3*y**2/2 + 19*y. What is the remainder when 18 is divided by b(-2)?
4
Let q be (-1)/(-1 - 0) - (2 - 1). Suppose 3*z + b - 28 = -z, 3*b + 12 = q. What is the remainder when 20 is divided by z?
4
Let a = 10 - 8. Suppose -y - 1 = a. Calculate the remainder when 42 is divided by (y/9)/(1/(-45)).
12
Suppose 10 = 2*j - 3*f, 5*f = -2*j - 2*j + 64. Let r(k) = -k**2 + 87. Calculate the remainder when j is divided by r(9).
5
Let q(f) = 3*f**2 + 24*f + 14. Let y(v) = 3*v + 27. Let n be y(-12). Calculate the remainder when q(n) is divided by 11.
8
Suppose 7 = s - 5*u, 0*u - u - 1 = 0. Suppose 3*y + s*y = -2*b + 38, 38 = 2*b + y. Calculate the remainder when 55 is divided by b.
17
Let n(t) = t**3 + 31*t**2 - 47*t - 462. Suppose 0 = -5*g + 2*w - 0 - 4, -g = -2*w - 4. Calculate the remainder when -23*(1 + g + -2) is divided by n(-32).
15
Suppose 5*l = 11*l. Let m = 17 - l. Calculate the remainder when 48 is divided by m.
14
Let v(n) = -n**2 - n + 1. Let f(j) = -5*j**2 - 4*j + 8. Let z(t) = -f(t) + 3*v(t). What is the remainder when z(3) is divided by 9?
7
Suppose t + 0*t - 33 = 0. Suppose -6 = -3*q + 9. Suppose -o = 2*s + 2*s - 63, -4*s - q*o + 43 = 0. What is the remainder when t is divided by s?
16
Calculate the remainder when (-104 + -1)/(102/(-170)) is divided by 45.
40
Let z(f) = f**2 - 4*f + 3. Let y be z(2). Let t = -64 - -113. Calculate the remainder when t is divided by (-22)/(y - 1) - -2.
10
Let i(s) be the first derivative of 36*s**2 - 5*s - 15. Calculate the remainder when i(2) is divided by 35.
34
Let x be (-4)/6*(-215 + 8). Let s(z) = -z**2 - z - 2. Let o be s(-2). What is the remainder when 2/(o/x*-3) is divided by 6?
5
Let r = -5832 + 5862. What is the remainder when r is divided by 2 + -3 - 7*-3?
10
Let d(p) = -p**3 + 5*p**2 + 15*p - 4. Let u be d(7). Suppose -a - 5 = -u*i + 3, -7 = -2*i - a. Calculate the remainder when 16 is divided by i.
1
Suppose -y = -2*n + 8, 5*y + n - 1 = 3. Suppose 5*s - 4*j - 92 = y, -4*s = -8*s + 3*j + 73. Calculate the remainder when 42 is divided by s.
10
Let v = 15 + -7. Suppose -69 = -9*u + 6*u. Calculate the remainder when u is divided by v.
7
Suppose -2*t - 237 = -3*t. Let p = -128 + t. Suppose -19 - 9 = -s. What is the remainder when p is divided by s?
25
Let j = -455 - -544. Calculate the remainder when j is divided by 10.
9
Let g be 3/((-3)/(-4)) - -1. Suppose 4*q - 4 = 4*p + 8*q, g*q = 3*p + 27. Let d = p + 18. What is the remainder when 39 is divided by d?
11
Let b(x) = 35*x - 687. What is the remainder when b(23) is divided by 16?
6
Suppose 918 = -254*i + 260*i. What is the remainder when i is divided by 14?
13
Suppose 7*l - 5*l + 12 = z, -2*l = 6. Let i = -6 + 26. What is the remainder when i is divided by z?
2
Suppose y - 40 = -3*o + 76, 0 = -5*y - 5*o + 550. Calculate the remainder when y is divided by 36.
35
Let z = 713 + -450. What is the remainder when z is divided by 4?
3
Let w(g) = 34*g**2 - 14*g - 74. Let q(f) = -7*f**2 + 3*f + 15. Let t(m) = -11*q(m) - 2*w(m). What is the remainder when t(5) is divided by 23?
22
Let c be 57 + -1 - 0/2. Let d = c + -40. Calculate the remainder when 93 is divided by d.
13
Let f = -94 - -66. Let z = 6 + f. Let q = z + 39. What is the remainder when 32 is divided by q?
15
Let a = -591 - -706. What is the remainder when a is divided by (-1*58)/(1 + -3)?
2