lculate the remainder when f is divided by 6.
4
Let y = 13 + -8. What is the remainder when 14 is divided by y?
4
Let y(j) = 16*j + 1. Let x(i) = i. Let b(m) = -36*m - 2. Let v(g) = b(g) + 4*x(g). Let t(k) = 2*v(k) + 5*y(k). What is the remainder when 33 is divided by t(1)?
16
Let u(b) = -b**2 - 11*b + 24. Calculate the remainder when 16 is divided by u(-12).
4
Suppose -14*k + 390 = -k. Suppose 17 = d - 8. Suppose -5*l + d = 0, 4*j + 5*l = 8*j - 19. What is the remainder when k is divided by j?
8
Suppose -25 = -5*r + 2*n, -23 = -r - 0*n + 4*n. Let o(w) = 2*w**3 - 5*w**2 + 5*w - 3. What is the remainder when o(r) is divided by (0 + -2)/(-2) + 7?
5
Suppose 6*j - 33 = -15. Calculate the remainder when 7 is divided by j.
1
Suppose -4 = -3*k - 4*i, -k - 5*i = -i + 4. What is the remainder when 8 is divided by k?
0
What is the remainder when 9 is divided by 0 - -3*20/12?
4
Suppose -3*k + 5*j - 29 = 0, 4*j - 25 = 4*k - k. Let u(l) = l**2 + 3. What is the remainder when 21 is divided by u(k)?
9
Let k = -3 - -15. Let x(r) = -r - 4. Let i be x(-8). Suppose i*h = 3*g + 79, 3*h - 9 - 66 = -3*g. What is the remainder when h is divided by k?
10
Suppose -4*b - w + 64 = -2*w, -2*b = -5*w - 32. Calculate the remainder when b is divided by 12.
4
Let s(l) = 1 - 1 + 2*l + 1. Let v be s(-3). What is the remainder when 37 is divided by ((-5)/(-4))/(v/(-40))?
7
Suppose 2*j - 39 = v, -2 + 78 = 3*j - 5*v. Let q(k) = -k**3 - 4*k**2 + 2*k - 5. Calculate the remainder when j is divided by q(-5).
7
Suppose 0 = -5*b - 3*r + 76, -4*b + 65 = -4*r + 5*r. Calculate the remainder when 66 is divided by b.
15
Suppose -2*p - w + 20 = 4*w, -3*w + 12 = 5*p. Suppose 0 = 2*r - 4 - p. Suppose -r*a = 3*a - 50. Calculate the remainder when 28 is divided by a.
8
Suppose 5*k + 5*d = 5, d + 3 + 2 = 0. Calculate the remainder when (-9)/(-12) + (-255)/(-12) is divided by k.
4
Suppose 5*y - 2*y - 98 = j, 5*y - 2*j = 164. Calculate the remainder when 126 is divided by y.
30
Let s = 19 - -9. Suppose -16 = -y + 4*t, -y = 2*y - 2*t - s. Suppose 3*b + 25 = 40. Calculate the remainder when y is divided by b.
3
Let a(n) = n**2 - 1. Let r be a(-2). Suppose 4*k + 58 = 2*h, -7*k + r*k + 18 = 2*h. Let c = h - -16. What is the remainder when c is divided by 18?
17
Suppose 2*d - 12 = -d. Let h(b) = b**2 - 7*b + 8. What is the remainder when h(6) is divided by (-12 - -10) + -1 + d?
0
Let p = 14 + -12. Suppose 2*r = 3*r - p*x + 5, 8 = 2*x. What is the remainder when 7 is divided by r?
1
Suppose 4*g - 129 = -0*g + 5*t, 3*g + 3*t = 63. Calculate the remainder when 50 is divided by g.
24
Suppose 65 - 128 = -3*z. Calculate the remainder when 145 is divided by z.
19
Let m be 8 + -6 + (0 - 2). Let d(t) = t + 24. Calculate the remainder when d(m) is divided by 13.
11
Suppose -4*q - 5*m = q - 5, 3*m + 3 = -q. Suppose -q*z = -0*z - 24. What is the remainder when 15 is divided by z?
7
Suppose 18 = s - 5. Suppose 0 = -3*k - 9 + 45. Calculate the remainder when s is divided by k.
11
Suppose z - 60 = -3*z. What is the remainder when 58 is divided by z?
13
Let c(p) = -p**3 - 14*p**2 - 13*p + 6. Suppose -5*x - 66 = -1. Calculate the remainder when 22 is divided by c(x).
4
Suppose -2*m + 2 = 0, 4*v - 3*m - 2*m = 59. What is the remainder when 62 is divided by v?
14
Let z(x) = 4*x**2 + x + 2. Suppose c + 0*c - 2 = 0. What is the remainder when z(c) is divided by 11?
9
Let m be -1 + 1*(2 - -56). Let d = -41 + m. Calculate the remainder when 47 is divided by d.
15
Let m be ((-74 + -3)/1)/1. Let p = 111 + m. Suppose 18 = -4*v + 5*v. Calculate the remainder when p is divided by v.
16
Let u(h) = -47*h**3 - 2*h**2 + 1. Let f(r) = r**2 + 2. Let s be f(-3). Let j = 27 - s. Calculate the remainder when u(-1) is divided by j.
14
Let t = -1 - -6. Calculate the remainder when 17 is divided by t.
2
What is the remainder when 1256/30 - (-1)/(120/16) is divided by 9?
6
Let m(w) = -w**2 + 11*w + 5. What is the remainder when m(9) is divided by 3?
2
Let w(p) = p**3 - p - 1. Let y be w(2). Suppose i - 2*d = 4, -y*d + 7 = -3. What is the remainder when 30 is divided by i?
6
Let o(y) = 2*y + 19. Let u be o(14). Suppose -79 = 4*x - 15. Let i = u + x. What is the remainder when i is divided by 16?
15
Let p(h) = 2*h**2 + 6*h + 7. Let n be p(-5). Suppose -2*l = 3*a - n, -l = -4*a + 4*l + 36. Suppose -7 - 9 = -b. Calculate the remainder when b is divided by a.
7
Let a = 6 - -74. Suppose -28 = -2*m + z - 3, -4*m - 4*z + a = 0. Let j(k) = k**3 - 5*k**2 + 2*k - 5. What is the remainder when j(6) is divided by m?
13
Let s be 5*(-4)/(-2)*-1. Let c = -9 - s. Let z(d) = -d**3 + d**2 + 2*d + 1. What is the remainder when c is divided by z(-1)?
0
Let v = 5 + 25. Let d = 6 + v. Calculate the remainder when d is divided by 13.
10
Suppose -166 + 46 = -12*z. Suppose -2*f = -66 - 48. Calculate the remainder when f is divided by z.
7
Suppose -5*u + 97 = -68. What is the remainder when u is divided by 19?
14
Suppose 0 = -3*o - 6, 3*a - 10 = -3*o + 8. Suppose -3*m + 5*m - 64 = 0. Suppose -a - m = -4*j. What is the remainder when 29 is divided by j?
9
Calculate the remainder when 84 + (-1 - (0 - -2)) is divided by 21.
18
Let x be (9/4)/(2/(-8)). Let j(s) = 7*s + 2. Let c be j(3). Let z = c - x. What is the remainder when z is divided by 11?
10
Suppose 0 = -3*j - 3*x + 123, -11*j + 206 = -6*j + 4*x. Calculate the remainder when j is divided by 9.
6
Let d(j) = 5*j - 8. Let y be (6/(-7))/((-5)/35). Calculate the remainder when d(y) is divided by 8.
6
Let u = -5 - -12. What is the remainder when u is divided by 5?
2
Suppose 2 = 2*i - 2. Suppose i*k - 4*m - 20 = 0, 9 = -0*k + k - 3*m. What is the remainder when 35 is divided by k?
11
Suppose 4*v + 4*q - 33 - 107 = 0, 5*v - 5*q - 165 = 0. What is the remainder when v is divided by 1 + 10 + 2/(-1)?
7
Let q = 397 - 230. What is the remainder when q is divided by 57?
53
Let b(w) = 3*w + 2. Let z = 8 + 7. Calculate the remainder when b(14) is divided by z.
14
Let x be -2 - (12 + 6/2). What is the remainder when (-1 - 69)/(15 + x) is divided by 9?
8
Let h be (-67)/(-3) - 4/(-6). Suppose 4*y - h = 245. What is the remainder when y is divided by (-3)/3*(4 - 2 - 25)?
21
Let i(o) = o**3 - 5*o**2 + 4*o - 6. Suppose -8*f = -5*f - 120. What is the remainder when f is divided by i(5)?
12
Let s(t) = -t**3 + 5*t**2 + 10*t - 6. Let a be s(7). Let o = a + 68. Let m = -13 + o. What is the remainder when 62 is divided by m?
20
Let t(x) = -x**3 + 7*x**2 + 4*x - 10. Let s be (-1)/(-3) - 100/(-15). Let c(a) = -a**2 + 9*a - 4. What is the remainder when t(7) is divided by c(s)?
8
Let w be (8 + 1*-2)/(-1). What is the remainder when 5 is divided by (w/4)/((-1)/2)?
2
Suppose 12 = y - 7. What is the remainder when y is divided by 7?
5
What is the remainder when 137*(-5 + 2 + 4) is divided by 28?
25
Calculate the remainder when 55 is divided by 282/10 - 1/5*1.
27
Let s be (-31)/(-2) + 1/2. Suppose 5*t - t = -s. Calculate the remainder when 1275/27 + t/18 is divided by 12.
11
Let o = -40 + 46. Calculate the remainder when 16 is divided by o.
4
Let b(l) = l**2 + l + 3. Let r = -4 + 11. Suppose -s + r = -9. What is the remainder when s is divided by b(-3)?
7
Let k(t) = -6*t**3 + 2*t**2 + t. Calculate the remainder when k(-2) is divided by 20.
14
Let g = 113 + -60. What is the remainder when g is divided by 11?
9
Suppose 13 = s - 3*p, 4*s - 3*p + 22 = 8*s. Let b = 12 - s. Suppose -105 + 0 = -b*o. What is the remainder when o is divided by 11?
10
Suppose -4*o + 73 = -5*b, 0 = 5*o + 2*b + b - 119. Calculate the remainder when 61 is divided by o.
17
Let m = 117 + -66. Calculate the remainder when m is divided by 19.
13
Let h(c) = 2*c**2 - 19*c + 8. Calculate the remainder when h(11) is divided by 11.
8
Let q = 9 + 21. What is the remainder when q is divided by 8?
6
Suppose 2*m - 2*p = 10, 7*m + 3*p - 21 = 4*m. Let n(h) = -h**3 + 7*h**2 + 2*h + 4. Calculate the remainder when n(m) is divided by 18.
16
Let m(f) = f**2 + 4*f - 8. Let s = 0 - 6. What is the remainder when 7*(-2 - -3*1) is divided by m(s)?
3
Suppose 5*u = u - 5*c + 100, 0 = -4*u - 2*c + 100. What is the remainder when 172 is divided by u?
22
Let k(s) = -s**3 + 4*s**2 + s - 3. What is the remainder when k(3) is divided by (-10)/(-3) + 2/(-6)?
0
Let k(y) = -y**2 + 16*y + 41. What is the rema