e -9 = d - 0*d + 5*y, 3*d - 5*y = 13. Suppose 4*t = 25 - d. Let n(r) = r**2 + 2*r - 4. Calculate the remainder when n(-5) is divided by t.
5
Let c = 13 - 2. Let n(s) = 16*s. Suppose o + 4*j - 6 = -0, -5*o = 5*j - 15. Calculate the remainder when n(o) is divided by c.
10
Let a(x) be the first derivative of 11*x**4/3 - x**3/6 + 2*x + 1. Let k(p) be the first derivative of a(p). What is the remainder when k(1) is divided by 22?
21
Suppose -2*w = -5*n - 27, 3*n + 6 = 5*n. Calculate the remainder when 83 is divided by w.
20
Let w = 53 - 29. What is the remainder when 17/(4/(w/3)) is divided by 12?
10
Let a(f) = 2*f**2 + 3*f. Let d be a(-2). Suppose d*i = -4 - 10. Let p(q) = -q. Calculate the remainder when 19 is divided by p(i).
5
Suppose 0 = 2*t - 2*j - 3*j + 47, -109 = 5*t - 4*j. Suppose s + 4*s = y - 229, 3*s - 3*y = -147. Let d = t - s. What is the remainder when d is divided by 13?
11
Suppose 18 = 5*y - 17. Calculate the remainder when 25 is divided by y.
4
What is the remainder when 23 is divided by 3 + (-3 - (0 - 4))?
3
Let y = -8 + 7. Calculate the remainder when 32 is divided by (1/(-3))/y*51.
15
Suppose 7*m - 2*m - 20 = 0. Suppose m*x = -0*x + 88. Calculate the remainder when x is divided by 12.
10
Let p be 306/8 - (-1)/(-4). Suppose -6*d + d + 20 = 0. Suppose 0 = -3*h + d*h - p. Calculate the remainder when h is divided by 13.
12
Let t(v) = v**3 - 8*v**2 - 10*v + 6. Let x be t(9). Let l = 2 - x. Let q(a) = 2*a - 4. What is the remainder when l is divided by q(3)?
1
Suppose -13*c = -2*c - 66. Calculate the remainder when 14 is divided by c.
2
Suppose 0*g - g = 4*u - 14, 2*g + 8 = 4*u. Suppose d - 66 = -59. Calculate the remainder when d is divided by u.
1
Let l(b) = b**3 - 3*b**2 + b - 8. Let j be l(6). Suppose 0*y + 2*y = 76. Suppose -j + y = -4*f. Calculate the remainder when 49 is divided by f.
15
Suppose 5*r - 10 = 3*r. Suppose r*y - y = -16. What is the remainder when (8/3)/(y/(-30)) is divided by 11?
9
Suppose 22 = 2*z + 3*j - 22, 88 = 4*z - 3*j. What is the remainder when 63 is divided by z?
19
Let u = -18 + 106. Let f = 125 - u. What is the remainder when f is divided by 13?
11
Let v(k) = k + 12. Calculate the remainder when 11 is divided by v(-9).
2
Let j = -47 - -75. Suppose -t = -5*t + 84. Calculate the remainder when (-6)/t - (-380)/7 is divided by j.
26
Suppose -8*d - 1488 = -16*d. What is the remainder when d is divided by 38?
34
Let q(m) = 2*m**3 + 15*m**2 + 3*m + 13. Suppose -o + 4*o + 5*n = 67, 5*o - 80 = -2*n. What is the remainder when q(-7) is divided by o?
13
Let k(h) = 595*h. Let b be k(1). Let g = b - 330. Suppose 5*v - 2*d = 113 + 152, -d + g = 5*v. Calculate the remainder when v is divided by 14.
11
Let f(l) = -3*l - 5. Calculate the remainder when f(-13) is divided by (1 + 2)/(2/6).
7
Let m = 8 - 8. Let l = 6 + m. What is the remainder when l is divided by 3?
0
Let v = 82 - 23. Calculate the remainder when v is divided by 16.
11
Suppose i = o - 0*o - 3, -3*o + 9 = -5*i. Let y = -1 + o. What is the remainder when y is divided by 2?
0
Let n be ((-8)/(-10))/((-6)/(-15)). Let c be -5*(0 + n - 1). Calculate the remainder when 9 is divided by 1/5 + (-24)/c.
4
Let a be (6 - 5) + 2*-2. Let r = a - -4. Calculate the remainder when 1 is divided by r.
0
Let s(m) = 0*m**3 + 5 - m**3 + 5*m**2 + m**2 + 9*m. Let v be ((-6)/9)/(6/(-63)). What is the remainder when 37 is divided by s(v)?
18
Let a = -128 + 425. Calculate the remainder when a is divided by 15.
12
Let o = -12 - -18. Suppose a + 3 = -5*x + 15, -o = x - 4*a. Calculate the remainder when 58 is divided by ((x - 0) + -3)*-15.
13
Let c = 7 + -3. Suppose -c = -h + 2. Suppose 1 = -d, 2*a - 3*d + d = h. Calculate the remainder when 2 is divided by a.
0
What is the remainder when 115 is divided by 5 + -4 - -14*2?
28
Suppose 7*n - 69 = 4*n. Suppose -3*d = -263 + 59. Calculate the remainder when d is divided by n.
22
What is the remainder when (-3 - 0) + 108 - (-3 - -2) is divided by 18?
16
Let y(c) = -c - 3. Let p be y(-7). Suppose -p*m - 262 = -5*g, 3*g - 5*g = -5*m - 115. Suppose -h = 4*h - g. What is the remainder when 18 is divided by h?
8
Calculate the remainder when (28/30*-3)/((-8)/80) is divided by (2/1)/((-4)/(-20)).
8
Let m be 5/(15/12) + -34. What is the remainder when 51 is divided by m/(-135) - 160/(-9)?
15
Let q(s) = s**3 + 23*s**2 - 23*s + 64. Calculate the remainder when q(-24) is divided by 11.
7
Suppose 33 = -4*z + s, 0 = -5*z + 5*s - 64 + 4. Suppose 2*b - 4*h = 5*b - 3, 2*b - 2*h = -12. Let r = b - z. What is the remainder when 10 is divided by r?
2
Let t(n) = 6*n - 20. Calculate the remainder when 174 is divided by t(6).
14
Suppose 0 = -5*i + 146 + 99. Suppose 2*v = 3*v - 13. Calculate the remainder when i is divided by v.
10
Let f(y) = -y - 9. Let u be f(-9). Suppose -62 = -2*m + 3*n, 3 = 2*n + 11. Calculate the remainder when m is divided by (0 - 9)/(u + -1).
7
Let a(v) = -2*v**3 - v**2 + 4*v + 4. Calculate the remainder when 147 is divided by a(-3).
36
Suppose -75 = -5*r + 2*k, 21 = 2*r + 2*k - k. Suppose -2*s - 25 + 75 = 0. What is the remainder when s is divided by r?
12
Let w = 75 + -12. What is the remainder when w is divided by 33?
30
Let l = -10 - -27. Calculate the remainder when 67 is divided by l.
16
Let c = -7 + 16. Let q = -6 + 3. What is the remainder when 6*((-5)/q - -1) is divided by c?
7
Suppose 3*x - 2*d - 519 = 0, -3*x + 261 + 249 = -5*d. Let g = x + -85. Suppose 3*o = 5*b + g, 2*o - 43 = 5*b + 22. What is the remainder when o is divided by 9?
7
Suppose -172 = -4*t + 4*g, 9 = t - 5*g - 26. Let f = t + 6. What is the remainder when f is divided by 18?
15
Suppose -4*m = -3*j + 17, 3*j - 6 = -j - 3*m. What is the remainder when 10 is divided by j?
1
Suppose -4*h = -2*h - 2. What is the remainder when h + 1 - -17 - 1 is divided by 10?
8
Calculate the remainder when 108 is divided by -44*1*(3 - (-7)/(-2)).
20
What is the remainder when (-3 + 2)*34/(-4)*2 is divided by 13?
4
What is the remainder when 85 is divided by (-29*1)/(10 + -11)?
27
Suppose 27*o - 19*o = 392. Calculate the remainder when o is divided by 17.
15
Let r(b) be the third derivative of b**6/120 + 3*b**5/20 + b**4/8 - b**3/6 - 8*b**2. Let n = 4 + -12. Calculate the remainder when r(n) is divided by 10.
9
Suppose 3*w = 2*w + 60. Suppose 7*p = 178 + 25. What is the remainder when p is divided by (2/4)/(2/w)?
14
Let j = 154 - 89. Calculate the remainder when j is divided by 17.
14
Let d(v) = v - 3. Let z be d(-6). Let n(a) = -4*a + 14. Calculate the remainder when n(z) is divided by 13.
11
Let g = 18 + 15. What is the remainder when 65 is divided by g?
32
Let j = -30 - -53. Calculate the remainder when 112 is divided by j.
20
Suppose 0*n = 2*n - 4. Suppose -2*c + 16 = n*c. Suppose c*r + 2*q - 38 = 0, 2*q - 15 = -r - 1. What is the remainder when r is divided by 5?
3
Let k = 14 - 9. Suppose -k*v = 5*r - 315, 5*r + 325 = 5*v - 0*r. Suppose 4*h + h - v = 2*z, -5*z = -4*h + 41. What is the remainder when h is divided by 8?
6
Suppose -8*d + 73 = -55. What is the remainder when 142 is divided by d?
14
Calculate the remainder when 99 is divided by (-4)/5*(2 + -68 + 1).
47
Suppose 338 + 67 = 9*j. What is the remainder when j is divided by 24?
21
Suppose 4*i - 10 = -i. Let g be (2/(-2))/((-1)/5). Suppose 46 = y - 3*h, -3*y + g*y - i*h = 76. Calculate the remainder when y is divided by 12.
10
Let y be (3/(-4))/((-2)/40). Suppose -4*f - 3*u + u - 2 = 0, 5*f + 5*u = -y. Calculate the remainder when 3 + f + (-2 - -1) is divided by 2.
0
Let t(y) = y**3 + 7*y**2 + 6*y + 4. Let v be t(-6). Suppose 0 = r - 2 - v. What is the remainder when r is divided by 3?
0
Suppose 4*d = 0, -4*o = -9*o + 5*d + 10. Let v = -5 + 4. Calculate the remainder when o + 1 - (-60 - v) is divided by 21.
20
Suppose -2*m = -0*m, -m = -5*y. Suppose y = -3*s, 3*s = 5*n - 53 - 17. What is the remainder when 40 is divided by n?
12
Suppose 4*a = 101 + 15. What is the remainder when a is divided by 8?
5
Let p = 12 + 130. Calculate the remainder when p is divided by 11.
10
Let x(y) = 3*y + 15. Calculate the remainder when x(7) is divided by 13.
10
Suppose 6 + 15 = -3*v. Let y = v + 21. Let r(z) = z**2 + z - 4. Calculate the remainder when y is divided by r(-4).
6
Suppose 4*x - 5 = 3*x. Suppose 0 = x*h + 3*l - 5*l - 6, 0 = h