).
9
Suppose 2*t + 4 = -2*b + 6*b, -5*b - 1 = -4*t. Suppose -t*v + 185 = v. Calculate the remainder when v is divided by 13.
11
Let c = -42 + 110. Let t = 375 + -260. What is the remainder when c is divided by (t/10)/(3/6)?
22
Let m(k) = 19*k**3 - k. Let u be m(-1). What is the remainder when 13 is divided by u/(-2) - (-1)/(-1)?
5
What is the remainder when 32 is divided by ((-22)/(-6))/(4/12)?
10
Let k be (-51)/(-3 - -2) - 1. Let f = -36 + k. Calculate the remainder when 26 is divided by f.
12
Let o(r) = -3*r**3 - r**2 + 3*r + 2. Calculate the remainder when 29 is divided by o(-2).
13
Let u(k) = k**2 - 9*k + 16. Calculate the remainder when 31 is divided by u(8).
7
Let m = -84 + 119. What is the remainder when m is divided by 12?
11
Let n(z) = -20*z - 3. What is the remainder when n(-2) is divided by 10?
7
Let u(x) = 5*x - 11. What is the remainder when 52 is divided by u(4)?
7
Let i(z) = -z**3 - 2*z - 1. Suppose 2*l + 5 = -3*l. Let y(q) = 2*q**2 - 1. What is the remainder when i(-1) is divided by y(l)?
0
What is the remainder when 79 is divided by 274/10 + (-9)/(-15)?
23
Let m(s) = -s**3 + s**2 + s - 1. Let z(i) = -8*i**3 + 2*i**2 + i - 2. Let r(p) = -2*m(p) + z(p). Calculate the remainder when r(-1) is divided by 5.
2
Suppose 0 = 2*f + y + y - 4, 5*f = -4*y + 12. Let u = 30 - 21. Calculate the remainder when u is divided by 21/f - (-2)/(-8).
4
Suppose 4 = -5*g + 39. Calculate the remainder when 13 is divided by g.
6
Suppose -2*w = -2*c - 62, 7*w - 2*w = c + 163. Suppose 4*m - 169 = s - w, 4 = -s. Calculate the remainder when m is divided by 12.
9
Let y(j) = j**2 - 10*j + 13. Calculate the remainder when 50 is divided by y(10).
11
Suppose -5*b + 3*s = -s - 11, 5*b + s = 16. Suppose -b*n + 12 = n. Suppose n*i = -2*i + 115. What is the remainder when i is divided by 8?
7
Let f = -48 + 90. Suppose x + 2 = -5*o - 8, -3*x + 60 = -3*o. Calculate the remainder when f is divided by x.
12
Suppose 0 = -n - 0*n + 65. What is the remainder when n is divided by (-8 - -7)/((-3)/51)?
14
Let t(u) = u**3 + 5*u**2 - u. Let i(h) = h**2 + 8*h + 26. What is the remainder when i(-4) is divided by t(-5)?
0
Suppose -2*n + 102 = n. What is the remainder when n is divided by 18?
16
Let n(c) = c**2 + 2*c - 6. What is the remainder when 84 is divided by n(5)?
26
Let w(o) = 2*o**2 + 3*o - 50. Let t(r) be the second derivative of 7*r**3/3 + r**2/2 - r. Calculate the remainder when t(2) is divided by w(5).
14
Let o(n) = 3*n**2 - 1 + 0 - 2*n**2 - 2*n**3. Calculate the remainder when o(-2) is divided by 7.
5
Let m(a) = a + 18. Calculate the remainder when 92 is divided by m(13).
30
Suppose 4*s - 4 = 8, -2*r - s = -33. Calculate the remainder when 58 is divided by r.
13
Let g = 81 - 79. Calculate the remainder when 8 is divided by g.
0
Let c = -37 + 52. Calculate the remainder when 27 is divided by c.
12
Suppose -5*k = -t + 17, -5*k + 0 = 5*t + 5. Suppose t*d - 21 - 131 = 0. What is the remainder when d is divided by 26?
24
Suppose 5*t - 2*s = 10, 2*t - 2*s - 3 = -s. Calculate the remainder when 17 is divided by t.
1
Calculate the remainder when 105 is divided by 16 - (-1)/(4/8).
15
Let z(j) be the first derivative of -11*j**4/4 + j - 2. Let n be z(1). What is the remainder when 27 is divided by ((-38)/n - 1)*5?
13
Let c(y) = 2*y**2 - 3*y - 2. Let s(b) = -2*b**2 + 17*b - 2. Calculate the remainder when s(7) is divided by c(3).
5
Let d(k) = 14*k**2 + 2*k + 1. Let i(w) = -22*w + 2. What is the remainder when i(-1) is divided by d(-1)?
11
Suppose -4*u = 4*f - 8 - 0, 2*f - 3*u = 19. Calculate the remainder when 62 is divided by f.
2
Let b = 6 - 3. Suppose 2*h = -2, 2*h + 7 - b = p. Suppose -y - y = -l + 6, -3*l + 3*y = -12. Calculate the remainder when l is divided by p.
0
Suppose 0 = 5*q + 168 + 137. Let g = -24 - q. Let v(y) = -y**3 + 4*y**2 + 4*y - 2. Calculate the remainder when g is divided by v(3).
18
Suppose 55 = 4*y + 5*m, 5 - 1 = y - 2*m. Suppose s - 5*t + 14 = 0, 0*s + s - 4*t = -y. Calculate the remainder when s is divided by 2 - (-2 + 0 + 2).
0
Suppose 6*i - 4*i - 280 = 0. Suppose -2*r + r = -3*n - 16, -5*r = 5*n - i. Calculate the remainder when r is divided by 7.
4
Let a(c) = 9*c**3 - 3*c**2 + 3*c - 3. Calculate the remainder when a(2) is divided by 13.
11
Let r(k) = k - 1. Let x(n) = -2*n - 1. Let j(w) = -4*r(w) - x(w). What is the remainder when 65 is divided by j(-6)?
14
Suppose -3*m + 9 = 0, -2*c + 18 = 5*m - 7. Calculate the remainder when 13 is divided by c.
3
Suppose -84 = -2*h - h. What is the remainder when 41 is divided by h/(-8)*6*-1?
20
Let n(t) = -t**3 - 2*t**2 + 2*t + 6. What is the remainder when 57 is divided by n(-4)?
27
Suppose 2*t = t - 2*z + 10, -3*t = 2*z - 14. Suppose t*p - 24 = -2*p. Calculate the remainder when 17 is divided by p.
5
Suppose 0*o = -4*o + i + 99, 5 = i. Calculate the remainder when o is divided by 7.
5
Suppose -4*a = 5*t - 92, t + 3*t = -a + 78. Calculate the remainder when 29 is divided by t/((-6)/(-3)) - 0.
9
Suppose 0 = 3*a - 75 + 3. Let z = -99 + a. What is the remainder when 24 is divided by z/(-6) - (-2)/4?
11
Suppose 2*c = 5*c - 78. What is the remainder when 102 is divided by c?
24
Suppose -2*b + 18 = 8. Let m = 3 - -2. Suppose -m = -k + b. Calculate the remainder when 19 is divided by k.
9
Suppose -d - 18 = -i, 4*d = 3*i + 6*d - 74. Calculate the remainder when i is divided by 12.
10
Suppose 2*n = 3*n - 40. Let t(q) be the third derivative of q**6/120 - 5*q**4/24 + q**3/3 + 2*q**2. Calculate the remainder when n is divided by t(3).
12
Suppose -u + 1 - 5 = -3*g, 1 = -u + 2*g. Suppose -w = 3*s + 2, u*w - s - 15 - 7 = 0. Calculate the remainder when w is divided by 3.
1
Let v = 46 - 6. What is the remainder when v is divided by 11?
7
Let f = -22 - -39. Suppose -4*p = 3*k - 152, -p + 0 + 2 = 0. What is the remainder when k is divided by f?
14
Suppose -c + 0*c - 9 = 0. Let z = c - -11. Calculate the remainder when 6 is divided by z.
0
Suppose 3*h + r - 59 = 13, 3 = -r. Calculate the remainder when 123 is divided by h.
23
Suppose -v = -14 - 64. Suppose -90 = -4*s + 2*u, -4*s + 5*u = s - 125. Calculate the remainder when v is divided by s.
18
Suppose 0 = -7*h + 2*h + v + 161, -2*v = -8. Calculate the remainder when 63 is divided by h.
30
Let o(u) = 17*u + 9. Let g(v) = -6*v - 3. Let p(x) = -8*g(x) - 3*o(x). Let n be p(-6). Suppose -1 - n = -2*i. Calculate the remainder when 23 is divided by i.
7
Suppose -3*h - 127 = -4*l, -4*l - 3*h = -2*h - 123. What is the remainder when l is divided by 12?
7
Suppose -108 - 37 = -5*t. Suppose 2 = -s + 6. Suppose -30 = -0*m - 3*m + 2*g, 0 = -s*m + 5*g + 40. What is the remainder when t is divided by m?
9
Suppose -160 = -2*b + 3*q, -5*b + 9*b + q = 334. Calculate the remainder when b is divided by 22.
17
Suppose -5*c + 28 + 17 = 0. Suppose 5*h + 3*t - 16 = 0, -13 = -5*h - 2*t - 2*t. What is the remainder when c is divided by h?
4
Suppose 0 = -p + 4*p - z - 367, 4*z - 20 = 0. What is the remainder when p is divided by 25?
24
Suppose -5*z + 3*j = 142, -2*z + 5*j = 23 + 30. Let a = -14 - z. Calculate the remainder when a is divided by 6.
3
Let i(a) = -5*a + 4. What is the remainder when i(-7) is divided by 14?
11
Let t = -10 + 16. Suppose -4*u - h + 5*h = -104, 5*h - 102 = -3*u. What is the remainder when u is divided by t?
5
Let t(h) = -5*h - 3. Let k be t(-4). Let n = k + -11. What is the remainder when (-2 + 36)*(-2)/(-4) is divided by n?
5
Suppose 57 = -4*i + 1. Calculate the remainder when 26 is divided by (-8 - -5)*i/6.
5
Suppose 0*l - 3*l + 33 = 0. What is the remainder when l is divided by 60/8 - (-3)/(-2)?
5
Let l be (-42)/(-9) - 1/(-3). Suppose l*t = -2*j + 95, -4*j + j - t + 110 = 0. Let n(m) = m**2 - m. Calculate the remainder when j is divided by n(4).
11
Let x = -5 - -7. Suppose 0 = x*r - 4*j - 54, 0 = r + 3*r + j - 81. Suppose -3*h + 57 - r = 0. What is the remainder when 34 is divided by h?
10
Let y = -18 - -25. Calculate the remainder when 25 is divided by y.
4
Let s = 1 - 0. Let a = 5 - -8. What is the remainder when 5 + -3 - s - -36 is divided by a?
11
Let d = 18 - 87. Let i = -46 + 80. Calculate the remainder when i is divided by (-2)/(-4) + d/(-6).
10
Suppose -6 = -4*i + 6. Let r(n) = 2*n**2 + 3*n + 3. Let x be r(-2). Suppose -68 = -x*a - 23. What is the remainder when