u(q) = -q**2 - 4*q + 7. Let t be u(-6). Let k(l) = 4*l**3 - l**2 - 7*l + 9. Calculate the remainder when k(3) is divided by 1 - -27 - 10/t.
27
Suppose -2*o - 84 = 2*q - 7*q, 2*q + 5*o - 51 = 0. Suppose -q = -4*f + f. Suppose w - f*w = -50. Calculate the remainder when 37 is divided by w.
7
Let u(n) be the third derivative of 0 - 4*n**2 + 1/6*n**3 + 0*n + 37/24*n**4. Calculate the remainder when u(1) is divided by 20.
18
Suppose 27 = -38*g + 1053. What is the remainder when g is divided by 10?
7
Suppose 0*t = 7*t - 588. Let u(r) = -9*r - 23. Calculate the remainder when t is divided by u(-4).
6
Let r(k) = k**2 - k - 1. Let z(y) = -y**2 + y. Let u be 5/10 + 14/(-4). Let x(n) = u*z(n) - 2*r(n). Calculate the remainder when 65 is divided by x(-4).
21
Suppose 2*t - 189 - 147 = 0. Let p = t - 45. Calculate the remainder when p is divided by 31.
30
Calculate the remainder when 133 is divided by ((-1092)/(-20))/3 - (-2)/(-10).
7
Suppose 4*c - 3*f = 1045, 14*f + 1033 = 4*c + 15*f. Calculate the remainder when c is divided by 59.
23
Suppose 7*q - 2*q - 475 = 0. Suppose 2*n + 3*n = q. Suppose 11*p = 9*p + 14. Calculate the remainder when n is divided by p.
5
What is the remainder when (-165)/(-385) - (-3620)/14 is divided by 10?
9
Suppose -3*k + 82 = -4*n + 5, -135 = -5*k + 5*n. What is the remainder when 338 is divided by k?
28
Suppose -3*m - 3*d = -d - 26, -3*d = 5*m - 43. Let l = 0 - -2. Calculate the remainder when m is divided by (1*-1)/(l/(-10)).
3
Suppose -267 = -6*l - 69. Let v = l + -24. Calculate the remainder when 16 is divided by v.
7
Let j = 176 + -155. What is the remainder when 87 is divided by j?
3
Suppose 5*c - 107 = -2*b, 2*c - 2*b + 5*b - 45 = 0. Let f = -15 - c. Calculate the remainder when -3*(-4)/f*-15 is divided by 2.
1
Let m(t) = 13*t + 107. Suppose a - 60 = -3*a. What is the remainder when m(-5) is divided by a?
12
Calculate the remainder when (28/(-8) - -3)*(-29 + 1) is divided by 10.
4
Let h be (-3 + (-10)/(-4))*0. Suppose -4*w + h*k - 5*k + 159 = 0, -2*w = k - 75. Calculate the remainder when w is divided by 14.
8
Suppose 0 = 4*g - 3*n - 217, -4*g + n - 4*n = -223. What is the remainder when 438 is divided by g?
53
Let x(l) = -4*l**2 - 18*l - 2. Let r(q) = 2*q + 4. Suppose 0 = -4*p - d + 34, -10 = -2*p + d + 10. Calculate the remainder when r(p) is divided by x(-4).
4
Let a(b) = b**2 + 10*b. Let x be a(-10). Let h = -2 - x. What is the remainder when h + ((-60)/2)/(-1) is divided by 10?
8
Let a = 50 - 41. Suppose 128*y - 126 = 125*y. Calculate the remainder when y is divided by a.
6
Suppose 2*w - 6 = -4. Let u = -22 + 28. Calculate the remainder when u is divided by 6/(-4)*(-1 - w).
0
Let n = -331 + 364. What is the remainder when 323 is divided by n?
26
Let u(n) = -n - 3. Let a be u(-6). Suppose 3*p + 12 = 0, -4*p - 11 = -a*l - 2*p. Calculate the remainder when 21 is divided by (l/(-2))/((-3)/72).
9
Suppose 3*m - 48 = 4*m. Let c = 55 + m. Calculate the remainder when 40 is divided by c.
5
Let w = 776 + -684. Calculate the remainder when 365 is divided by w.
89
Let x = 452 + -374. What is the remainder when 158 is divided by x?
2
Let j(s) = 5*s**2 - s. Let u be j(1). Calculate the remainder when 13 is divided by 7/(u + -4 - -1).
6
Let x(o) = 0*o**2 - 1 - 2*o**2 + 3*o**2 - o - o. Let l be x(3). Suppose -143 = -l*k - 35. What is the remainder when k is divided by 14?
12
Suppose 2*o - 20*z - 1664 = -22*z, -2*o = 5*z - 1667. What is the remainder when o is divided by 16?
15
Suppose -3*g = 4*l - 243, 82 + 198 = 5*l - g. Calculate the remainder when 182 is divided by l.
11
Let l be (20/15)/((-4)/1086). Let c = -136 - l. Suppose 0 = 4*s - 2*g - c, 79 = s + g - 6*g. Calculate the remainder when s is divided by 14.
12
Let t be (-5 - -3) + 4*-2. What is the remainder when 4/t + (-816)/(-15) is divided by ((-3)/(-6))/(24/(-240)) + 24?
16
What is the remainder when ((-273)/(-117))/((-1)/(-45)) is divided by 22?
17
Suppose b = -3*r - 15 + 119, -3*r = -b - 94. What is the remainder when r is divided by 11?
0
Let f(s) = 13*s**2 + 3*s + 4. Suppose 4*c + 10 = -c. Let z = -30 + 43. What is the remainder when f(c) is divided by z?
11
Let v = -8 - -9. Suppose 0 = -4*j + s - 0 - v, 2*j - 3*s + 13 = 0. Let i(y) = 73*y**3 + 2*y - 1. Calculate the remainder when i(j) is divided by 19.
17
Suppose 9*x = 4*x + 25. Suppose 7*p - 36 = x*p. Suppose -3*g + 32 = 2*k, -5*k - g + 42 = -3*g. What is the remainder when p is divided by k?
8
Suppose -4*n - 36 = -3*b, -5*b + 26 = 5*n - 69. Let y(c) = -c + 35. Calculate the remainder when 36 is divided by y(b).
17
Suppose -142*x + 144*x - 2269 = -5*b, 5*x + 5*b = 5680. What is the remainder when x is divided by 6?
3
Let p(f) = -f**3 - 11*f**2 - 9*f + 2. Let y be p(-10). Let t be ((-2)/(-5))/(y/160). Let j = t - -24. What is the remainder when j is divided by 5?
1
Suppose -36 = 30*c - 2946. What is the remainder when c is divided by 9?
7
Suppose -4*k = 3 + 5. Calculate the remainder when 44 is divided by (-23)/(12/(-12) + 0/k).
21
Let u(o) = 2*o + 24. Let d be u(-12). Suppose 2*v - 5*v - 4*x + 23 = d, 5*x - 10 = 0. Calculate the remainder when v is divided by 5.
0
Suppose 16 = p + 2*q, -2*p - 48 = -6*p - 4*q. Let n be (-3)/(-12) + -2*9/(-24). Calculate the remainder when 1*(-1 + 32)*n is divided by p.
7
Let g = -1 - 7. Let p = -19 - g. Let s(v) = -v - 1. Calculate the remainder when 16 is divided by s(p).
6
Suppose -m = 3*a - 0*m - 85, -a + 29 = m. Let u = 9 - -2. Calculate the remainder when (-4)/8*-3*a is divided by u.
9
Let d(f) = 15*f**2 + 2*f - 1. Let i be d(-3). Suppose -3*n + i = 29. Let x = -31 - -49. Calculate the remainder when n is divided by x.
15
What is the remainder when 1072/6 + (-5)/(-15) is divided by 26?
23
Let c = -64 + 120. Calculate the remainder when 181 is divided by c.
13
Let u(g) = 3*g - 40. Let t be u(21). Suppose 28*n = t*n + 110. Calculate the remainder when n is divided by 3.
1
Let f = 19 - 16. Let d(u) = 3 + 2*u**2 - 3 + 1 + f*u + 2. Calculate the remainder when d(-4) is divided by 12.
11
Let i = 90 + -53. Let b = 51 - i. What is the remainder when 50 is divided by b?
8
Let p(n) = -n**3 + 4*n**2 + 13*n - 2. Calculate the remainder when 179 is divided by p(6).
3
Let t be (1 - 1) + (4 - 2). Calculate the remainder when (-10)/3*(-9)/t is divided by ((-24)/(-9))/(1 - (-2)/(-6)).
3
Suppose 32 = -4*f - 56. Let v = -9 - f. Calculate the remainder when 36 is divided by v.
10
What is the remainder when 766 is divided by ((-36)/(-15))/(794/(-160) - -5)?
62
Let t = -49 - -51. Calculate the remainder when 34 is divided by (6/144*8)/(t/108).
16
Let d(x) = -2*x**2 - 61*x - 56. Calculate the remainder when d(-28) is divided by 54.
30
Let u(g) = -g - 13. Let c be u(-23). Suppose 3*f + c*l = 5*l + 27, -3*l = -3*f + 27. What is the remainder when f is divided by 6?
3
Let u be (-4)/6*2/(-4)*21. Calculate the remainder when 38/(-4)*u/(21/(-48)) is divided by 31.
28
Let l = -19 + 42. What is the remainder when l is divided by -4*(-2)/60 + (-1545)/(-225)?
2
Let a = -4448 - -4451. What is the remainder when (-13 + -2)*(-24)/10 is divided by a?
0
Suppose -7*q = 6*q - 351. Suppose -2*i - i = -312. Calculate the remainder when i is divided by q.
23
Suppose -y = 3*y, 0 = -2*r - y + 10. Let c = -1579 - -1638. What is the remainder when c is divided by r?
4
Let z = -1078 + 1736. Calculate the remainder when z is divided by 10.
8
Suppose 2*t + 3*t - 500 = 0. Suppose -3*s + t = -2. Calculate the remainder when s is divided by -12*(-1 - 1/2).
16
Suppose -1215*c + 6054 = -1209*c. Calculate the remainder when c is divided by 22.
19
Suppose -5*g = 0, -u + 0*g + 53 = -g. Calculate the remainder when 140 is divided by u.
34
Let u = -173 - -32. Suppose 11*w = 2*w + 279. What is the remainder when w is divided by u/(-15) + 2/(-5)?
4
Let y(u) = 44*u + 12. Let b be y(-3). Calculate the remainder when 34 is divided by (2/(-4))/(5/b).
10
Let w = 871 - 770. What is the remainder when w is divided by 96?
5
Let x = 15 - 4. Suppose 3*g + r = 7, -2*g - 2*r + 8 = g. Suppose g*l - 39 = -1. Calculate the remainder when l is divided by x.
8
Suppose 3*y = 4*v - 102, 15*y - 11*y - 114 = -3*v. Calculate the remainder when ((-8)/3)/(4/(-174)) is divided by v.
26
Let w be 20 - (4 + -2 + 1). Let q = 14 + w. Suppose -64*h = 2*r - 69*h + 3,