b) = b**2 - 4*b + 13. Calculate the remainder when q(8) is divided by 12.
9
What is the remainder when (-26)/(3 - 1)*-3 is divided by (-15)/(21/(-6) + 2)?
9
Suppose d + 4*g = 3*d + 8, -4*d = 3*g + 27. Let r = 10 + d. Suppose -2*c - 4 + 18 = -j, -r*j = 2*c - 24. What is the remainder when c is divided by 5?
3
Suppose -q + 0*q = -36. Suppose -3*w + 5*v = -59, 4*w - v = 4*v + 72. Calculate the remainder when q is divided by w.
10
Let j(l) = 9*l - 3. Let g be j(-3). Let h = g - -56. Calculate the remainder when h is divided by 0/2 + 14 - 0.
12
Suppose -d + 12 = -0. Let u(b) = b - 3. Let g be u(5). Suppose 88 = g*q + 2*q. Calculate the remainder when q is divided by d.
10
Let a = 6 + 8. Calculate the remainder when 27 is divided by a.
13
Let j = -40 - -70. Calculate the remainder when 88 is divided by j.
28
Let k = 7 + 34. What is the remainder when k is divided by 7?
6
Let h = 163 - 91. Suppose 5*g - h + 2 = 0. Calculate the remainder when 53 is divided by g.
11
Let o(i) = -i**3 + 28*i**2 - 49*i - 27. Let a = 82 + -56. What is the remainder when o(26) is divided by a?
25
Suppose 32 = -16*z + 864. Calculate the remainder when z is divided by 22.
8
Let m(x) = x**3 + 5*x**2 - 4*x + 3. Let b(l) = -l**2 - 12*l - 5. Let t be b(-12). What is the remainder when m(t) is divided by 8?
7
Suppose -23*g + 20 = -18*g. Let h = g - 0. What is the remainder when h is divided by 3?
1
Let b(f) = f + 33. What is the remainder when b(0) is divided by 9?
6
Suppose -4*j - 3*o = -165, 48 + 92 = 3*j - o. Calculate the remainder when j is divided by 12.
9
Suppose 0 = -5*v - 5*x + 6 - 16, 3*v = -2*x - 1. What is the remainder when 10 is divided by v?
1
Let h(v) = -v**2 + 6*v - 2. Suppose 3*w + 2*w = 3*b + 8, -20 = -3*b - 2*w. Let o be h(b). Suppose p + 235 = o*p. What is the remainder when p is divided by 16?
15
Let b = -3 - -23. What is the remainder when 38 is divided by b?
18
Suppose -2*m = -4*m - 4*y + 10, -5*m = y - 25. Suppose -9 - 30 = -3*l. Calculate the remainder when l is divided by m.
3
Let v = 65 - 31. What is the remainder when 202 is divided by v?
32
Let h be 3 + (-1)/2*6. Suppose h = -0*m + m - 7. What is the remainder when 13 is divided by m?
6
Let m be ((-12)/20)/(3/(-165)). Let j = m - 24. What is the remainder when 35 is divided by j?
8
Let c(o) = -o**2 - o + 77. Let q be c(0). Calculate the remainder when 29 is divided by q/5 - (-4)/(-10).
14
Let h(w) = -w**3 - 2*w**2 - 3*w - 3. Let x(t) = -t**2 - 5*t - 6. Let f be x(-4). Suppose 0 = -6*m + 22 + 2. Calculate the remainder when m is divided by h(f).
1
Let p(a) = 7*a + 2 - 15*a - 10*a. Calculate the remainder when p(-2) is divided by 20.
18
Let o = -5 - -9. Let t(g) = -3*g**3 - 2*g**2 + 1. Let q be t(-1). Let m(x) = 5*x. Calculate the remainder when m(q) is divided by o.
2
Let y(o) = 3*o**2 - o + 2. Let q be y(2). Suppose -2*g + 5*s - q = 0, -5*g - 3*s - 30 = -s. Let l = 15 - g. What is the remainder when l is divided by 11?
10
Let n = 116 + -97. Calculate the remainder when n is divided by 12.
7
Let s(g) = -3*g - 3. Let i be s(-4). Suppose i = 3*f - 0*f. Calculate the remainder when f is divided by 2.
1
Let b = 2 + -2. Let o(w) = -w**3 - 7*w**2 - 5*w + 7. Calculate the remainder when (2 - (0 - b)) + 0 is divided by o(-6).
0
Suppose 60 = -10*d + 12*d. What is the remainder when d is divided by 9?
3
Let r(l) = 3*l - 5. What is the remainder when 13 is divided by r(3)?
1
Let j(x) = x**3 + 5*x**2 + 4*x + 1. Calculate the remainder when (-160)/16*((-6)/15 + 0) is divided by j(-4).
0
Let g be 0/(-2*2/(-4)). What is the remainder when g + 1 + (1 - -16) is divided by 10?
8
Let a = 3 - 1. Suppose a*u = -0*u + 34. What is the remainder when 33 is divided by u/(2 - (-1)/(-1))?
16
Let j(g) = g**2 - 4*g + 1. What is the remainder when (328/(-12))/((-2)/3) is divided by j(-3)?
19
Suppose -2*s + 5*m + 42 = 0, s - 17 = -2*m + 4. Let h be (-2)/7 + 132/s. Let g = -4 + h. What is the remainder when 4 is divided by g?
0
Let j = 14 - 12. Suppose 3*k = -j*k + 95. Calculate the remainder when 75 is divided by k.
18
Suppose 0 = -s + 4*s - 9. Let a(p) = -2*p - 3. Let f be a(-2). Let h = 6 - f. What is the remainder when h is divided by s?
2
Let k(y) be the second derivative of -2*y**3/3 + 2*y**2 - y. Suppose -5*w - 3*h + 37 = -h, -5*h - 11 = w. Calculate the remainder when k(-3) is divided by w.
7
Suppose 4*a - 250 = -4*s + 22, 3*a - s = 212. Calculate the remainder when a is divided by 24.
22
Suppose 103 = 5*h + 3*m, -2*m = -2*h - 3*m + 41. Suppose 3*n - 5*n + 2 = -5*t, -2*n - 2*t + 30 = 0. What is the remainder when h is divided by n?
9
Suppose -2*i + 4*i - 160 = 0. Calculate the remainder when i is divided by 27.
26
Let d(m) = 6*m**2 + m + 1. Calculate the remainder when d(-2) is divided by 13.
10
Suppose 0 = -3*t - 17 + 47. Suppose 0 = -3*j + 16 - 4. What is the remainder when t is divided by j?
2
Suppose 7 = -2*a + 35. Suppose 3*u - 161 = 4*p, -3*p + 2*p = 4*u - 221. What is the remainder when u is divided by a?
13
Let u(k) = k + 1. Let y be u(5). Let n(i) = 2*i**2 - 6*i + 1. Calculate the remainder when n(y) is divided by 19.
18
Suppose -31*s + 10*s + 378 = 0. Suppose -5*w = -3*q - 20, 22 = w - 0*q + 3*q. Calculate the remainder when s is divided by w.
4
Let o(w) = -10*w**3 + 2*w**2 - 1. Calculate the remainder when o(-1) is divided by 7.
4
Suppose 4*m = 5*o + 14, m + o + o + 3 = 0. Suppose z - 17 - 8 = 0. Let r = m + z. Calculate the remainder when r is divided by 9.
8
Let c be (-2 + 1)*2 + 2. Suppose 10 = -4*w + 9*w. What is the remainder when w is divided by -1*(c/(-1) + -1)?
0
Let i(p) = p**2 - 9*p - 7. Let q be i(9). What is the remainder when (5 + -2)/(q/(-21)) is divided by 3?
0
Let l = 8 + -6. Suppose 10*z - 5*z = 180. Suppose y + l*y = z. Calculate the remainder when 23 is divided by y.
11
Suppose -12 - 40 = -4*q. What is the remainder when 24 is divided by q?
11
Let m(t) = -t**3 + 7*t**2 + t - 3. Let f = -13 - -18. Calculate the remainder when m(f) is divided by 14.
10
Let z(b) = b**2 - 8*b + 17. Suppose 4*h - 14 = a, -6 + 18 = 4*h - 2*a. Calculate the remainder when z(7) is divided by h.
2
Suppose -4*m - 71 = -3*l, l + l + 5*m = 55. Calculate the remainder when 97 is divided by l.
22
What is the remainder when 45 is divided by -6*2/(-4) - -13?
13
Suppose 3*k = m - 1 + 10, -4*m = 12. Let x(z) = z**2 - 5*z - 5. What is the remainder when k is divided by x(6)?
0
Suppose -2 = 2*j + 14. What is the remainder when (15/(-2))/(3/j) is divided by 6?
2
Calculate the remainder when 33 is divided by (36/14)/((-3)/105*-5).
15
Suppose 5*s = -3*h + 10 + 36, 0 = -2*s + 5*h + 37. Calculate the remainder when 39 is divided by s.
6
Let a(f) = 4*f. Let m be a(2). Suppose 0 = -3*v - 5*b + m, 0 = -2*b - 4 - 0. Suppose -2*i + 4 + 4 = 0. What is the remainder when v is divided by i?
2
Suppose 0 = 3*f + 13 + 14. Let r = f - -9. Calculate the remainder when 14 is divided by -1 - -5 - r/(-1).
2
Let q(i) = i**3 + 6*i**2 + 7*i + 7. Calculate the remainder when 35 is divided by q(-3).
9
Let d be (-7)/((-7)/(-6)) - 0. Let p(k) = -k**3 - 8*k**2 - k + 8. Let w be p(d). Let s = -21 - w. What is the remainder when s is divided by 13?
11
Suppose 55 = 7*i - 2*i. Calculate the remainder when 0 + (-5)/2*-8 is divided by i.
9
Let b be (6/14)/(8/56). Let v(u) = -22*u. Let c be v(-1). Calculate the remainder when 31 is divided by (c/(-4))/(b/(-6)).
9
Calculate the remainder when (0 + 6)/(2/3) is divided by 3.
0
Suppose -2*l - 26 = -2*z, -2*l - 13 = -z - 0*l. What is the remainder when z is divided by 2/(-4) + (-15)/(-2)?
6
Suppose 5*g - 12 = 4*g. Calculate the remainder when 57 is divided by g.
9
Let d = -14 - -10. Let a(l) = l**2 + 3*l - 3. Calculate the remainder when 2 is divided by a(d).
0
Suppose t + 0*t - 10 = 0. Calculate the remainder when t is divided by 6.
4
Let f = -8 + 22. Suppose -4*g - 6 = -18. Suppose w - 4*t = g*w + 2, -2*w + 7 = t. What is the remainder when f is divided by w?
4
Suppose -5*u - 14 = 3*a, 5*a + 3 + 17 = -5*u. Let h(s) = -s + 8. Calculate the remainder when 1/(((-9)/96)/a) is divided by h(-9).
15
Let z(k) = -k**2 + 7*k - 9. Let f(t) = -3*t**2 + 20*t - 26. Let u(s) = -3*f(s) + 8*z(s). Calculate the remainder when u(5) is divided by 7.
4
Let o = -8 - -19. What is the remainder when 41 is divided by o?
8
Let n = -11 - -19