).
8
Let y(a) = a**3 - 5*a**2 - a + 15. Calculate the remainder when y(6) is divided by 8.
5
Let g = 7 + -4. Suppose -h = -4*i + g*h + 12, 0 = -i - h + 5. Let p(y) = y**2 + y - 4. What is the remainder when p(i) is divided by 9?
7
Let u(p) = 4*p. What is the remainder when u(7) is divided by 10?
8
Let n be (-3)/4*(-16)/2. Let h be (-3)/9 + 608/n. Suppose -4*i + h = v - 2*v, 4*i - 98 = -2*v. What is the remainder when i is divided by 13?
12
Let o = 8 - 6. Suppose o*y = -2*y + 52. Calculate the remainder when 36 is divided by y.
10
Suppose 0 = -4*t - 2*l + 8 + 14, -2*t + l + 9 = 0. Suppose -1 = 2*z + 9, 80 = 5*r - t*z. What is the remainder when r is divided by 3?
2
Let g = -94 + 102. What is the remainder when g is divided by 5?
3
Suppose -5*r - 4 + 2 = 2*a, 10 = a - 3*r. What is the remainder when 15 is divided by a?
3
Suppose k - 11 = 1. Calculate the remainder when 71 is divided by k.
11
Suppose 4*f = 65 - 13. What is the remainder when 36 is divided by f?
10
Let g(x) = -13*x**3 - 4*x - 1. Let v be g(-3). Suppose -5*f + v = 127. What is the remainder when f is divided by 16?
15
Suppose -3*g + 51 = -4*p - 16, -4*g = 4*p - 52. What is the remainder when g is divided by 10?
7
Suppose -x + 2*x - 38 = 0. Suppose 2*l - w - 24 = 14, -2*l + x = -3*w. Calculate the remainder when l is divided by -2 - (-18 + (4 - -1)).
8
Suppose 4*m - 4 = 0, -i - 44 = -6*i - 4*m. What is the remainder when 14 is divided by i?
6
What is the remainder when -1*14/(-8)*24 + -1 is divided by 15?
11
Suppose -2*s = -3*s - 2*y + 25, 0 = 4*y - 20. Suppose -4*h + s = -3*h. Calculate the remainder when 28 is divided by h.
13
Let k(s) = -4 + 2 + 3*s - 8 - 3. What is the remainder when k(10) is divided by 6?
5
Suppose -5*f + 3*f + 200 = 0. What is the remainder when f is divided by 52?
48
Suppose -3*i - 2*i + 248 = -2*w, -5*i = -4*w - 246. Suppose -v - 2*v + 3*s + 54 = 0, 85 = 5*v - 4*s. What is the remainder when i is divided by v?
11
Let j = 59 + -38. What is the remainder when 38 is divided by j?
17
Let j be (4/14)/(2/14). Suppose 3*a = -2*a + 3*f + 30, j*f - 28 = -2*a. Calculate the remainder when 17 is divided by a.
8
Let z(s) = -s**3 + 47*s**2 + 5*s - 227. Let v(n) = -n**2 + 23. What is the remainder when v(0) is divided by z(47)?
7
Suppose 7395 = -3*v - 0*v. Calculate the remainder when v/(-25) - 3/5 is divided by 25.
23
Let y = 9 - 4. Suppose 310 = 4*c + c + y*d, 3*d = 3*c - 180. Calculate the remainder when c is divided by 21.
19
Suppose 0 = -g - 1, -18 = -2*j - j - 3*g. Let b = 26 - 8. Calculate the remainder when b is divided by j.
4
Let b(k) = k**3 + 14*k**2 + 10*k + 12. Let l = 42 + -24. Calculate the remainder when b(-13) is divided by l.
15
Let q(z) = -z**3 + z**2 + 6*z + 2. What is the remainder when 36 is divided by q(-3)?
16
Let u = -7 - 2. Let g(w) = -3*w - 12. Let m be g(u). Let b = m + -2. What is the remainder when 24 is divided by b?
11
Let a = 21 - -1. What is the remainder when a is divided by 1/(2/(-1 - -13))?
4
Let f = 7 + -14. Let r(y) = y**3 + 8*y**2 + 2*y. What is the remainder when r(f) is divided by 12?
11
Let c = 13 - 11. Suppose 0*r + 40 = c*r. What is the remainder when 79 is divided by r?
19
Suppose -14*g - g = -240. What is the remainder when g is divided by 9?
7
Suppose -4*r = r - 65. What is the remainder when 77 is divided by r?
12
Let b(o) be the third derivative of 7*o**4/24 - 8*o**3/3 - 3*o**2. Calculate the remainder when b(11) is divided by 16.
13
Let z(b) = b**2 + 6. What is the remainder when z(3) is divided by 6?
3
Let n = 6 + -4. Suppose -3*s + 1 - 10 = 0, n*s = 3*r - 24. Calculate the remainder when 10 is divided by r.
4
Let q be 4/3*37*3. Suppose -4*v + 176 = 3*n + n, -4*n + q = -3*v. Suppose 2*m - n = -0*m. What is the remainder when m is divided by 11?
9
Let y be -14*(3/6 - 1). Let k = y - -12. Calculate the remainder when 8/(-3)*162/(-12) is divided by k.
17
Let o be 1/(-2) + (-2)/(-4). Suppose 5*i + 8 + 2 = o. Let a = 3 + i. What is the remainder when 2 is divided by a?
0
Suppose v + 4*v = 100. What is the remainder when 74/(-6)*-3 - -2 is divided by v?
19
Let c = 29 + -19. Let k(h) = -25*h - 13. Calculate the remainder when k(-2) is divided by c.
7
Let j(p) = -5*p**2 - 2. Let z be j(-4). Let c = 141 + z. What is the remainder when c is divided by 20?
19
Suppose -2 = -4*x + 10. Let j be -1*1*(1 + -2). What is the remainder when (-2 + (-3)/j)*-1 is divided by x?
2
Let f = -8 - -11. Suppose 2*l - 132 = -f*d, 3*l + 49 = 3*d - 68. What is the remainder when d is divided by 22?
20
Calculate the remainder when 39 is divided by (-129)/(-27) - (-12)/54.
4
Let f(w) = -w**2 + 14*w + 7. What is the remainder when 18 is divided by f(14)?
4
Let q(z) = 8*z**2 - 3*z + 3. Calculate the remainder when q(2) is divided by 12.
5
Let a(o) = 8*o - 2. Let j(c) = -3*c**2 - 2*c. Let f be j(-2). Let r = -6 - f. Calculate the remainder when 40 is divided by a(r).
12
Let h = 6 - -18. What is the remainder when 95 is divided by h?
23
Let h(c) = 68*c**3 - c**2 - c + 1. Calculate the remainder when h(1) is divided by (-2)/9 - ((-12540)/54)/10.
21
Let a = -17 - -9. Let v be (2/(-2))/(2/a). Suppose 0 = v*k - 1 - 31. What is the remainder when 23 is divided by k?
7
Let i(k) = 2*k**2 - 5*k - 2. Suppose 2*p = -5*z - 21, -4*p + 7*p + 4*z = -14. Let s be 2 + p*(-1)/(-1). Calculate the remainder when 19 is divided by i(s).
9
Let p = 9 + -6. Suppose -9 = -p*o, -2*o + 7*o = 2*w + 21. Let r = 10 - w. Calculate the remainder when 24 is divided by r.
11
Suppose -o + 9 = -6. Let y = 16 + -12. Calculate the remainder when o is divided by y.
3
Suppose -4*f - k - 10 = 124, -3*k + 159 = -5*f. Suppose x + 12 = -5*q, 0*x - 4*q = 3*x + 58. What is the remainder when 6/f + (-444)/x is divided by 7?
6
Let n(a) = a**3 + 5*a**2 + 2*a + 1. Let i be n(-2). Suppose 0 = 2*d + 26 - 30. Calculate the remainder when (i/(-2)*d)/(-1) is divided by 5.
4
Let l(q) = -q - 15. What is the remainder when 8 is divided by l(-20)?
3
Let r(f) = -f**3 - 10*f**2 - 12*f - 13. Let d be r(-9). What is the remainder when 5 is divided by 1/(-2) - (-35)/d?
1
Suppose 3*n + 0*n = 3*v - 111, 185 = 5*v - 4*n. What is the remainder when v is divided by 20?
17
Let m(w) = -w**3 - 5*w**2 - 5*w - 1. Let f be m(-4). Suppose -f*r = r. Let q = 8 + r. What is the remainder when q is divided by 3?
2
Calculate the remainder when ((-4)/(-4) + 0)*29 is divided by 15.
14
Let k(a) = 2*a - 1. Let d be k(-4). Let n = d + 18. Let s(m) = m**3 - m**2 + m + 17. Calculate the remainder when s(0) is divided by n.
8
Suppose 0 = 3*v, 2*l - v - 89 = -37. Suppose -y - 1 = -15. Calculate the remainder when l is divided by y.
12
Let u(g) = 1. Let d(v) = -2*v + 3. Let f(j) = -d(j) + 5*u(j). Calculate the remainder when ((-4)/(-5))/(2/55) is divided by f(3).
6
Calculate the remainder when 46 is divided by (-3)/(-4) - 25/(-20).
0
Let k(z) = -z**2 - 15*z - 11. Let v be k(-14). Suppose -v*q = -0*q - 75. What is the remainder when 74 is divided by q?
24
Suppose 27 = 4*p + 7. Suppose -p*c - 6 = -16. Let h(s) = -s**2 - 2*s + 4. Calculate the remainder when c is divided by h(-3).
0
Suppose -t + 6*t = 5*r + 50, -75 = -4*t - 3*r. Let d = 57 + -53. Calculate the remainder when t is divided by d.
3
Suppose -2*b = 5*c + 28, -b + 31 = -0*c - 5*c. Let t(k) = k**2 + 3*k - 4. What is the remainder when 26 is divided by t(c)?
12
Suppose 0 = -4*o + 2 + 18. Calculate the remainder when 16 is divided by o.
1
Suppose -v = 2, 0*v + 12 = 2*n + 5*v. Suppose -2*u + r - 9 = -48, -3 = -r. Calculate the remainder when u is divided by n.
10
Let n = -13 + 39. Suppose -1 + 10 = c. Calculate the remainder when n is divided by c.
8
Calculate the remainder when (-4)/(-26) + (-3230)/(-130) is divided by 13.
12
Calculate the remainder when 28 is divided by 6/2 + (-21)/(-3).
8
Let f(o) = -20*o**3 - o. Let g = 13 + -14. Calculate the remainder when f(g) is divided by 6.
3
Let q(y) = -3*y - 2. Let c be q(-2). Suppose 195 - 503 = -c*d. What is the remainder when d is divided by 20?
17
Let h = 15 + -5. What is the remainder when 17 is divided by h?
7
Let w be (2/(-4))/((-1)/(-4)). Let n be 0 - (-2 + 2 - w). Calculate the remainder when 22 - (0 - n - 0) is divided by 11.
9
Let t(u) = -7*u**3 - u**2 - 1. Let p be t(2). Let d = -43 - p. Suppose 0 = -0*b - 4*b + 140. Calculate the 