.
8
Let l(n) = 3*n + 40. Let j(k) = -2*k - 27. Let v(w) = 7*j(w) + 5*l(w). Calculate the remainder when v(0) is divided by 6.
5
Let g(a) = -9*a - 12. Calculate the remainder when g(-5) is divided by 18.
15
Let m(g) = g**2 + 8*g - 7. Let h be m(-7). Let o = -5 - h. Calculate the remainder when 26 is divided by o.
8
Let y(q) be the third derivative of -q**6/120 - q**5/20 + q**3/6 + 4*q**2. What is the remainder when y(-4) is divided by 9?
8
Let n = 33 + -21. What is the remainder when 35 is divided by n?
11
Let i = 14 - 8. Suppose -4*g + 26 = -i. Calculate the remainder when g is divided by 3.
2
Suppose -13 = -4*b - 5, 2*f - 10 = 5*b. Let k = 11 - f. What is the remainder when 3 is divided by k?
0
Suppose 3*j - 4*u - 8 = 0, -5*j - 3 = 4*u + 5. Suppose j = x + 4, 0*s + 10 = -s - 5*x. What is the remainder when 28 is divided by s?
8
Let h(x) = 4*x - 8. Suppose 3 = -3*v, 4*k - v - 282 = v. What is the remainder when k is divided by h(8)?
22
Let x(z) = -4*z + z**3 + 11*z**2 - 2*z + 0*z**3 - 2*z**3 + 14. Calculate the remainder when x(10) is divided by 28.
26
Suppose 0 = 2*w + 5*z - 30, 4*z + 68 = 2*w + w. Calculate the remainder when 119 is divided by w.
19
Suppose -g = -0*g - 3. Let h = 5 + g. What is the remainder when 22 is divided by h?
6
Suppose 17 = 2*i + 7. Suppose -5*q + 0*q + i = 0. Suppose 4*c - 10 = -c. What is the remainder when c is divided by q?
0
Suppose -34 = -5*i - 0*i + v, -4*i - 5*v + 33 = 0. Calculate the remainder when i is divided by 6 - (3 - (2 - 1)).
3
Let a be (-26)/(-2) + 12/(-4). Let j be 4 - (-1 + 1 + -1). Suppose j*t - 75 - a = 0. Calculate the remainder when 32 is divided by t.
15
Let h(m) be the first derivative of -m**4/4 + 3*m**3 - 3*m**2/2 + 10*m + 2. What is the remainder when h(8) is divided by 82/6 + (-14)/21?
11
Let q(p) = 14*p**2 + 1. Suppose 4*d - 15 = m, 5*m + 5 = 4*d - 6. Calculate the remainder when q(m) is divided by 8.
7
Let b(a) = 3*a - 1. What is the remainder when b(3) is divided by 3?
2
Let y be 762/9 + 2/(-3). Suppose 144 - 34 = 5*a. Calculate the remainder when 1/((-1)/y*-2) is divided by a.
20
Let t = 151 - 22. Calculate the remainder when 26 is divided by t/9 + (-3)/9.
12
Calculate the remainder when (-15 + 4 + -1)*-2 is divided by 13.
11
Let a = 65 - 40. What is the remainder when a is divided by 13?
12
What is the remainder when 28 is divided by (-4)/18 + 56/9?
4
Let z be (-7)/(28/(-16)) + 1. Suppose -z - 10 = -3*u. What is the remainder when u is divided by 3?
2
Suppose -a = -6*a. Suppose 2*y + a*y = 2*t - 62, 3*t - 63 = -3*y. Calculate the remainder when t is divided by 14.
12
Let k be 2 + (-3 - -6 - 3). Suppose -11 = -k*o + 25. What is the remainder when o is divided by 7?
4
Let i(y) = -y**3 - 23*y**2 - 21*y + 41. Calculate the remainder when (-5)/2*-7*2 is divided by i(-22).
16
Let q(v) = -v**3 - 3*v**2 + 4. Suppose -w + 0 = 3. Let t be q(w). Let s = -1 + t. Calculate the remainder when s is divided by 2.
1
Let c = -35 - -37. What is the remainder when 3 is divided by c?
1
Let s = -4 + 13. Suppose 10 = 2*j + 4*k - 3*k, -4 = j + 5*k. What is the remainder when s is divided by j?
3
Suppose 2*s - 4*s + 21 = -r, 0 = -r + 5. Suppose -85 = -4*k - s. Calculate the remainder when k is divided by 10.
8
Suppose -54 = -3*j - 3*x, -4*x = -5*j + 46 + 17. Let p(y) = -30*y - 1. Calculate the remainder when p(-1) is divided by j.
14
What is the remainder when (-794)/10*-2 - 1/(-5) is divided by 27?
24
Let t(g) = g**3 + 11*g**2 - 15*g + 3. What is the remainder when t(-12) is divided by 20?
19
Let a(k) = 3*k**2 + 14*k + 12. Let b be a(-10). Suppose 5*z - 290 = 5*w, 5*w + b = 3*z + w. What is the remainder when z is divided by 21?
18
Let d(t) = t**3 - t**2 + 33. Calculate the remainder when d(0) is divided by 18.
15
Let y = -29 + 77. What is the remainder when 141 is divided by y?
45
Let a be (-5)/2*(-6)/5. Let w(b) = -6*b + b**a - 3*b**2 + 2*b**2 + b**2 + 1 - 2*b**2. What is the remainder when w(5) is divided by 16?
14
Let i(c) = 4*c - 17. Calculate the remainder when i(7) is divided by 6.
5
Calculate the remainder when 15 is divided by 2*(-4)/(-8) - (-4 + 1).
3
Suppose 2*s + 2 = 3*m - 138, -4*m + 175 = -5*s. What is the remainder when m is divided by 17?
16
Let h = -45 - -79. Suppose h = 3*s + k - 42, -27 = -s - 2*k. Calculate the remainder when s is divided by 7.
4
Suppose -2*c = 0, 6 = q + 8*c - 3*c. Suppose -s + q*s - 4*n = 215, n - 86 = -2*s. Calculate the remainder when s is divided by (17 - -2) + 9/3.
21
Suppose l + l + 54 = a, 5*l = -4*a + 190. What is the remainder when a is divided by 13?
11
Let l(r) = r + 1. Let m be l(-4). Let k be -18 - -1 - 3/m. Let c = k - -27. Calculate the remainder when 32 is divided by c.
10
Let f = 8 + -6. Suppose -o = -f*o + 7. What is the remainder when 4*5 - (6 + -4) is divided by o?
4
Let c(z) = 12*z**3 - z**2 - z + 1. Let r be c(1). Let w = r - 4. Calculate the remainder when 18 is divided by w.
4
Suppose -4*q - 185 = -5*f, 0 = -f - 0*f - 2*q + 51. Calculate the remainder when f is divided by 21.
20
What is the remainder when 16 is divided by 2 + 7*2/2?
7
Let k = -9 - -14. Suppose -3*h + k*n = -110, 3*n + 178 = 5*h - 0*n. Calculate the remainder when h is divided by (-37)/(-3) - 1/3.
11
Suppose -11*b - 1075 = -6*b. Let l = b - -317. Calculate the remainder when l is divided by 21.
18
Let w be 44/10 + 4/(-10). What is the remainder when 27 is divided by (9 - 5)/(w/14)?
13
Suppose 0*q = -3*q + 15. Calculate the remainder when q is divided by 4.
1
Let z(m) = -m**3 + 6*m**2 + 5*m + 1. Let p be z(6). Let c = 53 - p. Calculate the remainder when c is divided by 12.
10
Suppose -n + 33 = -28. What is the remainder when n is divided by 9?
7
Let v(u) = u**2 - 4*u + 8. What is the remainder when v(7) is divided by 8?
5
Suppose 4*n - 5*k + 2 = 10, 4*n - 4*k - 8 = 0. Suppose -t = -n*t + 41. What is the remainder when t is divided by 11?
8
Suppose 3*f = -2*f + 85. What is the remainder when f is divided by 5?
2
Let i(q) = -8*q + 5. Calculate the remainder when i(-6) is divided by 14.
11
Let z(j) = -1 - 3*j + 6*j + j. Let p be z(1). Suppose p*x = 2*g - 92, 3*g = -x + 58 + 80. Calculate the remainder when g is divided by 16.
14
Let v be (-4)/8 + (-3)/2. Calculate the remainder when 8 is divided by (1 + -7)/v*1.
2
Let c(r) = 2*r**2 + 14*r + 8. Calculate the remainder when 10 is divided by c(-7).
2
Let a = -2 + 13. Suppose 5*s = -3*i + a, -i + 4*s = -2*i + 6. Suppose -i*v - 3*v = -200. Calculate the remainder when v is divided by 14.
12
Suppose 0 = -3*w + x + x + 10, 4*x = 4*w - 16. Suppose 0 = 3*j - w - 46. Suppose -2*g = 2*g - j. Calculate the remainder when 6 is divided by g.
2
Let j(m) = m**2 + 6*m + 8. Calculate the remainder when j(-6) is divided by 3.
2
Suppose -6*h - 704 = -14*h. What is the remainder when h is divided by 13?
10
Suppose 6*p = 2*p + 60. What is the remainder when 14/(-5)*(6 - 16) is divided by p?
13
Suppose 0*u + 3 = m - 2*u, -2*m - 3*u + 34 = 0. What is the remainder when 31 is divided by m?
9
Suppose 9 = 3*y - 0. Suppose 3*v + y*c = c + 16, v = 5*c - 23. Calculate the remainder when 3*(-6)/(-36)*10 is divided by v.
1
Let w(l) = -l**3 + 10*l**2 - 8*l + 7. Calculate the remainder when w(7) is divided by 25.
23
Suppose 0 = -3*n - 6, -n + 2 + 2 = 2*v. What is the remainder when 5 is divided by v?
2
Suppose 5*z + 3 = 23. Let x be (8/10)/(4/30). Let j = 0 + x. Calculate the remainder when j is divided by z.
2
Suppose 15 = 4*u - 37. Let a = -103 - -107. Let m = u - a. Calculate the remainder when 33 is divided by m.
6
Let u(o) = -2*o**3 - 2*o**2 + 4*o + 4. Calculate the remainder when 14 is divided by u(-2).
2
Let g = 16 - 7. What is the remainder when 26 is divided by g?
8
Let n(k) = 3*k - 6. Calculate the remainder when 15 is divided by n(5).
6
Let d(o) = o**3 - 7*o**2 + o - 5. Let j be d(7). Let i be j - (-73 - 6/(-3)). What is the remainder when (-4)/8 + i/2 is divided by 13?
10
Suppose h - 10 = 6*h. Let i be (h/4)/(1/(-2)). What is the remainder when 112/4 + (1 - i) is divided by 10?
8
Let l be (-14)/3 + 1/(-3). Let a = l - -9. What is the remainder when 11 is divided by a?
3
Suppose -4*i - 2*v + 6 - 2 = 0, -2*i = 4*v + 10. Let f(k) be the first derivative of -k**2/2 + 1. What is the remainder when f(-8) is divided by i?
2
Let d(g) = 8*g**2 + 5*g - 4 - 6*g