7). Let v = 18 + y. Suppose -v*x + 10*x - 116 = 0. Calculate the remainder when x is divided by 8.
5
Let a = 549 + -512. Let t(f) = 3*f + 1. What is the remainder when a is divided by t(4)?
11
What is the remainder when 87 is divided by (5/((-10)/(-9)))/((-2)/(-8))?
15
Suppose -5*u + l + 175 = -2, -u + 37 = -l. Calculate the remainder when 131 is divided by u.
26
Suppose -15*w + 23*w - 304 = 0. Calculate the remainder when 73 is divided by w.
35
Suppose 3*h + n - 640 = 0, -4*h + 2*h - 4*n = -420. What is the remainder when h is divided by 74?
66
Suppose -50 = -4*u + 50. Suppose -3 = -4*m - d, m = 2*d - 6 + 18. Suppose m*s = -3*s + 3*p + 260, 5*s + p = 240. Calculate the remainder when s is divided by u.
24
Let t(q) = q + 11. Let a be t(-9). Suppose -4*n + 4*m + 148 = a*m, 74 = 2*n - 3*m. What is the remainder when n is divided by (13/2)/((-3)/(-6))?
11
Let m(z) = 24*z**2 - 1. Let b(s) = -s**3 + 9*s**2 - 20*s + 19. What is the remainder when m(1) is divided by b(6)?
2
Let c(m) = 10*m**3 - 79*m**2 + 61*m - 547. Suppose 16 = -5*t + t, 8 = -3*g + t. Let j = g - -11. Calculate the remainder when j is divided by c(8).
2
Suppose -3*t + 2*y + 17 = -2*y, -6 = 3*y. Suppose -t*o + 22 = j - 126, -j = 5*o - 244. Let d = -135 - -152. What is the remainder when o is divided by d?
14
Let w(a) = -35*a - 280. Calculate the remainder when w(-14) is divided by 109.
101
Suppose 6*v - 504 = -3*v. Let p = v - 31. What is the remainder when p is divided by 12?
1
Let r = 28 + 387. Calculate the remainder when r is divided by 19.
16
Suppose 3*m - 42 = -5*v + 54, -5*v + 93 = 4*m. Let p(g) = -2*g - 4. What is the remainder when v is divided by p(-5)?
3
Suppose 0 = 4*k - 8 - 0. Suppose 276 = k*u + 3*a, 2*u - 4*a - 276 = -a. What is the remainder when u is divided by 284/10 - 4*10/100?
26
Suppose 13*d - d = -1704. Calculate the remainder when (-2 + 0)/(-4) - d/4 is divided by 13.
10
Suppose -3*b = 5*a - 205, 5*a - 5*b + 231 = 476. Calculate the remainder when 244 is divided by a.
24
Suppose 214 = -3*s - 2*u, 5*s + 2*u + 181 + 181 = 0. Let a = -69 - s. Let y(n) = 12*n**3 - n**2 + n. What is the remainder when y(1) is divided by a?
2
Suppose 3*g - 26 = -2*b, -g = 2*b - 6*b - 32. Let n(j) = j**3 + 6*j**2 + 2*j - 6. Let y be n(-5). What is the remainder when y/((-2)/(g/(-9))) is divided by 2?
0
Suppose -177*w - 17515 = -208*w. What is the remainder when w is divided by 81?
79
Suppose -103*y + 105*y - 170 = 0. What is the remainder when y is divided by 32?
21
Let h = 28 - 2. Suppose -3*p + 15 = 0, -2*a + 31 = 3*p - 2*p. Suppose a = 2*l - 141. What is the remainder when l is divided by h?
25
Let n = 46 - 53. Let h(g) = g**2 + 16. Calculate the remainder when h(n) is divided by 17.
14
Let o be (224/35 + -6)/((-2)/530). Let r = 111 + o. What is the remainder when r is divided by 3?
2
Let n = -207 - -99. Calculate the remainder when 71 is divided by ((-3)/6)/(1 - (-111)/n).
17
Let q = -157 + 175. What is the remainder when 32 is divided by q?
14
Suppose -q - 24 = -3*q. Suppose -u + 3 = -q. Calculate the remainder when (-3)/(-27)*-2 + 15720/270 is divided by u.
13
Let f be -26*3/6 + 3 + 1. Let w = f - -97. What is the remainder when w is divided by 18?
16
Suppose 0 = -2*p + 2*d + 2, -p - 2*d = -2*p - 1. Suppose 0 = p*t - 2*t - 2. Suppose 0 = -5*q + 62 - t. Calculate the remainder when q is divided by 5.
2
Let b(s) = -7*s**3 + 2*s**2 + 2*s - 2. Let u be (3 - (-3 - -6)) + -2. Let g be b(u). Let t = g + -38. What is the remainder when 37 is divided by t?
17
Calculate the remainder when 91 is divided by (7 - (-187)/22)/((-1)/(-2)).
29
Let b be ((2 - 0) + 16)*-3. Let y = b - -93. What is the remainder when y is divided by 6?
3
Let v = -276 + 296. What is the remainder when 38 is divided by v?
18
Let u = 619 + -74. Calculate the remainder when u is divided by 26.
25
Calculate the remainder when 653 is divided by (0 - (-164)/(-3))/(40/(-60)).
79
Let y(m) = -2*m**3 + 44*m**2 + 3*m - 44. Calculate the remainder when 52 is divided by y(22).
8
Let m(x) = -x**3 + x**2 - 6*x + 6. What is the remainder when m(-8) is divided by 79?
77
Suppose 2*h - 30 = -h. Let n = h - 5. Suppose -n*u + 29 = -36. Calculate the remainder when 25 is divided by u.
12
Suppose 65*j = 2632 + 4063. Suppose 0 = 3*y - 3*f + f - 73, -y = -3*f - 36. Calculate the remainder when j is divided by y.
19
Let q(s) = s**2 - 31*s - 80. What is the remainder when q(36) is divided by 55?
45
Suppose -3*u = -12, -q - 5*u = -31 - 1. Let v = -13 - -11. Let s(p) = -4*p**3 + 1. Calculate the remainder when s(v) is divided by q.
9
Suppose 3*n = 32 + 253. Suppose 24*j - 19*j = n. What is the remainder when 75 is divided by j?
18
Suppose -5*d + 10*d - 190 = 0. Suppose 2*k + 14 = d. What is the remainder when 58 is divided by k?
10
Let i = -197 + 218. Let v(y) = -44*y. Let g be v(-1). What is the remainder when i is divided by g/8 + (-2)/(-4)?
3
Calculate the remainder when 77 is divided by 34/(-119) - (-60)/14 - -22.
25
Suppose l + 4*y = 24, -3*l - 3*y + 2*y + 17 = 0. What is the remainder when 101 is divided by l?
1
Let b = -3 + -3. Let y(v) = -3*v - 4. Let m be y(b). Calculate the remainder when 54 is divided by (-3 - -1) + m - 1.
10
Suppose 0 = 8*k - 4 + 372. Let w = 60 + k. Calculate the remainder when 35 is divided by w.
7
Let l(c) = 5*c**2 + 23*c + 5. What is the remainder when 838 is divided by l(-5)?
13
Suppose 2*u + 29 + 15 = 5*p, 0 = -5*p + 4*u + 48. Let j = 2 - 1. Let v = j + p. Calculate the remainder when 24 is divided by v.
6
Let d(h) = 30*h + 23. What is the remainder when d(4) is divided by 18?
17
Suppose 0 = p + p - 4. Suppose p*k - 10 = 12. Let f(h) = 23*h**2 + h - 1. What is the remainder when f(-1) is divided by k?
10
What is the remainder when ((-180)/1)/(-3) - -8 is divided by 20?
8
Calculate the remainder when 823 is divided by 3/((-8)/((-3680)/15)).
87
Calculate the remainder when ((-16)/48)/(1/(-3)) - -114 is divided by 11.
5
Let a = -10 - -21. What is the remainder when -31*2/(-4)*(-6 - (-5 + -3)) is divided by a?
9
Let f(p) = -29*p + 1. Suppose -1 = -2*m + 7, i + 22 = 5*m. Let b = -24 - -39. What is the remainder when f(i) is divided by b?
14
Suppose 0 = -2*f + 116 + 14. Calculate the remainder when f is divided by 23.
19
Let a = -40 - -79. What is the remainder when a is divided by 23?
16
Suppose 3*d - 79*d + 1900 = 0. Calculate the remainder when 90 is divided by d.
15
Suppose 0 = f - 10 - 12. Calculate the remainder when f is divided by 13.
9
Let d(r) = 2*r - 16. Let b be d(-7). Let y be 6/b - 1242/(-10). What is the remainder when y/16*1*4 is divided by 8?
7
Let n = -54 + 58. Suppose 10*u - 714 = n*u. Calculate the remainder when u is divided by 11.
9
Let l(k) = 54*k**2 + 55*k + 4. What is the remainder when l(5) is divided by 68?
65
Suppose 4*a + 196 = 4*c, -a - 257 = -4*c - c. What is the remainder when c is divided by 19?
14
Suppose p = -2*r + 5, 0 = -2*p - 3*p + 5*r + 55. What is the remainder when -30*3/p*-1 is divided by 10?
0
Let f(q) = 5*q**2 + 27*q - 21. Calculate the remainder when f(-12) is divided by 8.
7
Let f be 1/((-3)/(-21)) - 3. Calculate the remainder when 21 - (4 + (-9 - -3)) is divided by 9 + (11 - f) + -4.
11
Suppose -5*n = -26*n - 1680. Let b = 103 + n. Calculate the remainder when b is divided by 9.
5
Suppose -615 = -4*p - 447. Calculate the remainder when 200 is divided by p.
32
Suppose -2*m - 820 = -3*z - 3*m, -1380 = -5*z + 5*m. Calculate the remainder when z is divided by 56.
50
Calculate the remainder when 52 is divided by -10 + 8 - -9 - -20.
25
Let b = 86 - -31. Suppose -5*x = 4*o - 130, -5*o + 142 = x - 5*x. What is the remainder when b is divided by o?
27
Let q(s) = s**3 - s**2 + s + 14. Suppose -5*i - 4*g + 249 = 0, -3*i + 30 = -2*g - 137. Calculate the remainder when i is divided by q(0).
11
What is the remainder when (-126 + 3)*-2 - 9 is divided by 12?
9
Let x = -196 - -199. Calculate the remainder when 14 is divided by x.
2
Suppose 1 = q - 1, -10 = 4*l - 5*q. Suppose -y + 147 = 2*f + 2*y, l = 5*f - y - 359. Calculate the remainder when 25 is divided by (378/f)/((-6)/(-16)).
11
Suppose 24*c = -4*c + 37744. Calculate the remainder when c is divided by 19.
18
Let o(h) = h + 7. Let f be o(-7). Suppose -4*g + f*g = -72. What is the remainder when 4 - 50*5/(-10) is divided by g?
