 = -0*f + 9. Calculate the remainder when 9 is divided by f.
0
Suppose -3*q - 3*j + 65 = q, 2*q + j = 31. What is the remainder when 136 is divided by q?
10
Suppose -3*i = 4*d - 17, -i = -3*d + 4*d - 5. What is the remainder when 28 is divided by i?
1
Suppose -65 = t - 6*t. Let y = 15 - -10. Calculate the remainder when y is divided by t.
12
Let r(m) = -2*m**3 - 6*m**2 - 3*m - 10. Let h be r(-4). Calculate the remainder when (9/(-3) - -2) + h is divided by 9.
6
Suppose 4*k - 11 = 5. Let b(y) = -y**3 + 6*y**2 + 12*y - 71. Calculate the remainder when k is divided by b(6).
0
Let n(p) = -19*p - 6. Calculate the remainder when n(-4) is divided by 24.
22
Suppose -4*b = -5*b. Suppose 0 = 3*n + 2*s - 2 - 3, b = n - s. Let y = 3 - n. Calculate the remainder when 2 is divided by y.
0
Suppose 51 = 5*h - 2*h. Suppose 3*j = j - 102. Let o = 15 - j. What is the remainder when o is divided by h?
15
Suppose -56 = -5*k + 34. What is the remainder when k is divided by 5?
3
Suppose 5*p + 3*l - 112 = -0*p, 0 = -5*l + 20. Let a = p - 14. Calculate the remainder when a is divided by 4.
2
Let y = 81 + -32. What is the remainder when y is divided by 26?
23
Let g(h) = -h**3 - 5*h**2 + 4*h - 4. Calculate the remainder when g(-6) is divided by 3.
2
Let j(c) = c**3 - 3*c + 1. Let i(v) = v**3 + 4*v**2 - 7*v - 7. Let d be i(-5). What is the remainder when j(d) is divided by 11?
8
Let r = 47 - 29. Let f(o) = -o**3 - 23*o**2 - 6*o - 49. Calculate the remainder when f(-23) is divided by r.
17
Suppose 0 = y + 3*y + 12. Let g = 7 + y. Let b = g + 2. What is the remainder when b is divided by 4?
2
Calculate the remainder when ((-29)/(-2))/((-3)/(-6)) is divided by 6.
5
Calculate the remainder when 35 is divided by (-2)/(-8) - 94/(-8).
11
Suppose -23 = -5*u - 2*d + 2, -3*u - 11 = -4*d. Let k = 3 + -10. What is the remainder when 7/(k/(-6)) + -2 is divided by u?
1
Suppose 2*o + o - 48 = 0. Let r be o/6 - (-4)/(-6). What is the remainder when r*1 + 11 + 0 is divided by 7?
6
Let w be (-26)/((0 + 2)*-1). Let n = w + -6. Let i = 11 - 6. What is the remainder when n is divided by i?
2
Let u(j) = 5*j**3 - 3*j - 3. Let p(g) = -11*g**3 + 5*g + 5. Let h(m) = -3*p(m) - 5*u(m). Calculate the remainder when h(1) is divided by (-7)/21 + (-80)/(-15).
3
Suppose -4*c + 3*h + 51 = -c, -4*h - 12 = 0. Calculate the remainder when 236 is divided by c.
12
Let s(c) = 4*c**2 - c. Let q be s(1). Suppose 2*m - 37 = -3*w, -q*m + 7*m + 3*w - 65 = 0. Calculate the remainder when 39 is divided by m.
11
Let h(g) = -g**2 - 9*g - 9. Let v be 5/3 + (-2)/3. Calculate the remainder when v/2 + 31/2 is divided by h(-6).
7
Suppose -m + 5*m - 68 = 0. Calculate the remainder when m is divided by (-438)/(-48) - 2/16.
8
Let y be ((-12)/(-2))/((-6)/4). Let z(m) = -12*m - 5. Let s = 12 + 3. Calculate the remainder when z(y) is divided by s.
13
Let z(q) = -1. Let v(s) = -s + 1. Let l(r) = 4*v(r) + 7*z(r). What is the remainder when l(-7) is divided by ((-6)/(-5))/((-6)/(-45))?
7
Suppose -3*j = j - 20. Let n(d) = d**3 - 9*d**2 - 1. Let m be n(9). What is the remainder when (m - (-3 - -1))*8 is divided by j?
3
Let y(k) = -k - 2. Let o be y(6). Let x = -1 - o. What is the remainder when x is divided by 3?
1
Let p = 1 + 37. Let q = -20 + p. Calculate the remainder when q is divided by (-100)/(-8)*(-4)/(-5).
8
What is the remainder when 11 is divided by 16/64 + 30/8?
3
What is the remainder when (78 - -9)*2/3 is divided by 21?
16
Suppose -4*m + 3*t = 5*t - 50, 4*m - 53 = -5*t. Calculate the remainder when 95 is divided by m.
11
Let c(n) = n**2 + 12*n + 27. What is the remainder when 45 is divided by c(-11)?
13
Let s be 1*61 + -2 + 5. Suppose -w - 13 = -s. Let o = 5 + 8. Calculate the remainder when w is divided by o.
12
Let j be -4*((-65)/(-4))/(-1). Calculate the remainder when 60/50*j/2 is divided by 14.
11
Let z(d) = -4*d - 3. Let f be z(-2). Suppose -f*h - 2 = -17. Let x(c) = -c**3 - 5*c**2 - 5*c. What is the remainder when x(-4) is divided by h?
1
Suppose 5*c + 5*p + 15 = 0, 2*c = 2*p - 7 + 21. Let a(v) = 2 + c - 6 + 4*v - 3*v. What is the remainder when 8 is divided by a(5)?
2
Suppose 2*t + 9 = 25. Let j(o) = -o**2 + 8*o + 4. Calculate the remainder when j(t) is divided by 2.
0
Let n(h) = -h**3 + h**2 - 2*h + 46. What is the remainder when n(0) is divided by 7?
4
Let h(q) = -22*q - 1. What is the remainder when h(-3) is divided by 18/(-6) - (-26 + 1)?
21
Suppose -2*n - 29 = -3*j, 3 = j - 5*n + 3*n. Let f(s) = s - 4. Calculate the remainder when j is divided by f(11).
6
Suppose 0 = -6*j + 3*j + 96. Let y(n) = -2*n**2 + 14*n - 13. Calculate the remainder when j is divided by y(4).
10
Suppose 4*k + 0*k - 10 = -2*z, -5*k + 14 = 4*z. What is the remainder when 2 is divided by 2/4*(4 - k)?
0
Suppose 0 = a + 9. What is the remainder when 18/4 - a/(-6) is divided by 2?
1
Let h be (-2)/4*0 - 5. Let u(b) = -4*b - 7. Let t = 62 + -25. What is the remainder when t is divided by u(h)?
11
What is the remainder when (-680)/(-12) + 2/6 is divided by 15?
12
Calculate the remainder when ((-76)/(-6))/((-2)/(-3)) is divided by 10.
9
Let v = -4 + 5. Suppose -2*d - v = -7. Calculate the remainder when 11 is divided by d.
2
Suppose 0 = -2*j - 4*i + 48, -2*j + 5*i + 31 = -j. Let x(p) = 8*p**2 + p. What is the remainder when j is divided by x(1)?
8
Suppose -a + 8 = -3. What is the remainder when 31 is divided by a?
9
Suppose -4*u + 59 + 69 = 0. Suppose -k = 5*j - 60, 3*j - u = -j - 4*k. Let v = 5 - 1. What is the remainder when j is divided by v?
1
Let g = -134 - -153. Calculate the remainder when 112 is divided by g.
17
Suppose 2*p + v - 8 = 26, 2*p - 50 = -5*v. Suppose -2*l + p + 23 = 0. Let g = l + -7. Calculate the remainder when 34 is divided by g.
10
Suppose 0 = -3*r + 8*r - 145. Calculate the remainder when r is divided by 11.
7
Suppose -x - 3*y = -19, 48 + 9 = 3*x + 3*y. What is the remainder when (36/5)/((-1)/(-5)) is divided by x?
17
Let f(k) = -k**3 + 10*k**2 - 8*k - 4. Let r be f(9). Suppose 0 = t + t + 6, -1 = -4*h - r*t. Calculate the remainder when 7 is divided by h.
3
Let c be (-10)/(-1)*(-3)/(-6). Suppose 17 = -c*r + 67. Let a = 172 + -153. What is the remainder when a is divided by r?
9
Let i(l) = 5*l. Let a be i(1). Suppose -c - a = -6*c. What is the remainder when 1 is divided by c?
0
Let o(q) = -2*q**3 - 3*q**2 - 2*q - 4. What is the remainder when o(-4) is divided by 29?
26
Let t(m) = -m**2 + 15*m - 12. What is the remainder when t(11) is divided by 17?
15
Let r(o) = -4*o + 1. Let j be r(-1). Suppose -4*y + 63 = j*n, -y - 2 = 5*n + 1. Suppose 4*t - 40 = -t. What is the remainder when y is divided by t?
6
What is the remainder when ((-121)/2 - -4)/(2/(-4)) is divided by 39?
35
Let b = -14 + 16. Suppose -3*k - 4 = -2*k. What is the remainder when (-52)/(-8) + (-2)/k is divided by b?
1
Suppose 4*a + m + 2*m - 111 = 0, -5*m - 103 = -4*a. Calculate the remainder when 78 is divided by a.
24
Let u = 1 + 1. Let s be 1*-3*(u - 3). Suppose -s*n = 2*n - 185. What is the remainder when n is divided by 13?
11
Let k(x) = x**3 - 10*x**2 + 4*x - 3. Calculate the remainder when k(11) is divided by 41.
39
Suppose -3*c + 134 = 5*g, -c - 3*c - 13 = -g. Let p = 2 + -2. Suppose 4*o - 3*a - 8 - 31 = p, 5*o - 48 = 3*a. What is the remainder when g is divided by o?
7
Suppose -35 = -4*t + 5. Calculate the remainder when (t/3)/((-3)/(-45)) is divided by 13.
11
Let x = 48 + -20. Let p = -11 + x. What is the remainder when p is divided by 6?
5
Let y = 41 + -25. What is the remainder when 45 is divided by y?
13
Let t(h) = h**2 + 6*h + 4. Let c be t(-6). Let d = 10 - c. Suppose -2*m - 22 = -4*m. Calculate the remainder when m is divided by d.
5
Let f be 6/4 + 6/(-4). Suppose -v - 2*s + 17 = f, 2*s = -5*v + s + 58. Calculate the remainder when v is divided by 4.
3
Let s = -4 + 261. What is the remainder when s is divided by 65?
62
Let x = 25 - 12. What is the remainder when 36 is divided by x?
10
Let f(n) = 2*n + 9*n**2 + 6 - 7*n - 5*n - n**3. What is the remainder when f(6) is divided by 14?
12
What is the remainder when 78 is divided by (-345)/(-21) - (-9)/(-21)?
14
Suppose w - s - 33 = 0, 4*s = -3*w + w + 60. Calculate the remainder when w is divided by 17.
15
Suppose -14 = -2*v - 3*w, -3*v - 4*w + 10 + 12 = 0. What is the remainder when 46 is divid