*j - 40 = -0*f - 5*f. What is the remainder when f is divided by (5 - (-25)/(-5)) + 4?
1
Let d(l) = -l**3 + 2*l**2 + 2*l + 1. Let o be d(-1). Suppose 0 = -m + o*m - 49. Calculate the remainder when m is divided by 17.
15
Let h = 130 - 49. Calculate the remainder when h is divided by 21.
18
Let f(u) = 2*u - 6. Calculate the remainder when 29 is divided by f(7).
5
Let r(j) = -5*j - 7. What is the remainder when r(-7) is divided by 16?
12
Let y(w) = w**2 + 6*w + 11. Let k be ((-8)/(-6))/((-2)/(-9)). Suppose 2*x = 4*x - k. Calculate the remainder when y(-4) is divided by x.
0
Let k = 68 - 30. Suppose 5*b = -3*z + 22, 3*z + 20 = 3*b - 2*z. Suppose b*d - k = -8. Calculate the remainder when d is divided by 3.
0
Let g = -50 - -78. Calculate the remainder when 104 is divided by g.
20
Suppose -4*f - 4 = -388. Let y = 141 - f. Suppose -y = b - 4*b. Calculate the remainder when 44 is divided by b.
14
Let k(g) = -g**3 + 2*g. Let l be k(-2). Suppose -9 = 3*q, l*x = q + 2*q + 141. Calculate the remainder when x is divided by 17.
16
Suppose 0 = -4*g - 12, -43 = -3*p + 5*g + 11. Calculate the remainder when 49 is divided by p.
10
Let i = 11 - 8. Suppose 2*v + 9 + 3 = -i*z, 2*v - 16 = 4*z. Suppose v = -k + 15 - 1. Calculate the remainder when 26 is divided by k.
12
Suppose -3*n + 161 = q, 5*n - 3*q = -5*q + 268. What is the remainder when n is divided by 11?
10
Calculate the remainder when ((-1 - 3) + -3)*-2 is divided by 5.
4
Suppose -v = -5*p - 17, 3*p = v + 1 - 20. Calculate the remainder when v is divided by 12.
10
Suppose -3*n = -2*k + k - 92, 0 = 5*n + 4*k - 176. Suppose -72 = -3*s + p, p - 3 - 50 = -2*s. Let q = -14 + s. Calculate the remainder when n is divided by q.
10
Let n(p) be the second derivative of 17*p**4/4 - p**3/3 - p**2 + 7*p. Calculate the remainder when n(-1) is divided by 13.
12
Suppose 0 = 3*z + 3*w - 39, -4*z - w = 4*w - 49. What is the remainder when 42 is divided by z?
10
Let v(g) = -g**3 - 3*g**2 + 4*g. Let c = -29 - -24. Let u(q) = 2*q + 3. What is the remainder when v(c) is divided by u(4)?
8
Suppose 2*r = -r + 12. Suppose r*v - 2 - 6 = 0. Suppose v*h - 10 - 36 = 0. Calculate the remainder when 44 is divided by h.
21
Let l = -262 + 436. What is the remainder when (-2)/4*l/(-3) is divided by 164/16 - (-3)/(-12)?
9
Let w = -9 - -12. Calculate the remainder when 11 is divided by w.
2
Let v = 0 - -5. What is the remainder when 7 is divided by v?
2
Suppose 0 = 5*p - 2 - 13. Let l(c) = c**3 + 4*c**2 - 5*c + 4. What is the remainder when l(p) is divided by 18?
16
Let v(z) = z**3 + 5*z**2 + 3*z + 1. Let n = -5 + 8. Suppose -n*w + 82 + 5 = 0. What is the remainder when w is divided by v(-3)?
9
Let b(k) = -14*k + 1. Let t be b(-1). Let v = 27 - t. What is the remainder when 21 is divided by v?
9
Let b = 107 - 10. What is the remainder when b is divided by 25?
22
Let y(p) be the third derivative of p**4/24 - p**3/2 + 3*p**2. Let q be y(6). Let f = q - -30. Calculate the remainder when f is divided by 17.
16
Let g(f) = f**2 + 5*f - 3. Let d(o) = o**3 + 8*o**2 - 11*o + 13. Let u be d(-9). Suppose 0*c + u = c. What is the remainder when c is divided by g(-7)?
9
Let y(m) = 2*m**2 - 3*m + 1. Let u be y(2). Suppose 0 = s - 11 + u. Let i = -16 - -31. What is the remainder when i is divided by s?
7
Suppose 3*c - 23 = -4*n, -n = -3*c - 4 + 17. Suppose j + n = 3*j - 3*z, 5*z - 10 = 0. Calculate the remainder when 11 is divided by j.
3
Suppose -3*o = -10*o + 658. Calculate the remainder when o is divided by 14.
10
Calculate the remainder when 193 is divided by ((-4)/((-24)/(-39)))/((-2)/12).
37
Suppose -2*l = 6, 2*k + 64 = 4*k - 4*l. Let f(r) = r + 3. What is the remainder when k is divided by f(7)?
6
Suppose 35*i = 39*i - 88. Calculate the remainder when 84 is divided by i.
18
What is the remainder when (-187)/(-4) + (-15)/20 is divided by 16?
14
Let i(t) = -t**3 - 6*t**2 - 2*t + 1. Calculate the remainder when i(-6) is divided by 4.
1
Let d(k) = k**2 + 3. Suppose 165 = 2*j + 3*j. What is the remainder when j is divided by d(3)?
9
Suppose 5*r - 43 + 3 = 0. Suppose 0 = -0*g - 5*g + 2*u + 20, 2*g - r = -u. Suppose g + 22 = 2*a. Calculate the remainder when a is divided by 5.
3
Suppose 0 = 2*f + f - 207. What is the remainder when f is divided by 18?
15
Let v = 136 - -47. Calculate the remainder when v is divided by 11.
7
Let o(a) = a**3 + a + 16. What is the remainder when o(6) is divided by 30?
28
Let n be 80/36 - (-2)/(-9). Suppose -5*p - 10 = -i + 26, 88 = 5*i - n*p. Suppose 2*j = 2 + i. Calculate the remainder when 35 is divided by j.
8
Let x = 8 + 81. Calculate the remainder when x is divided by 23.
20
Suppose -4*g - g = -210. Suppose 7*c - 3*o = 3*c + 38, -5*c + 5*o + 45 = 0. Calculate the remainder when g is divided by c.
9
Let m(n) = -2*n + 4. Suppose 3*t - 13 = 2. Suppose 0 = -c + 2, -t*c + 31 = 5*q - 2*q. What is the remainder when m(-7) is divided by q?
4
Let r = 16 + -12. What is the remainder when 8 is divided by r?
0
Let y be ((-24)/2)/((-6)/8). Suppose -5*i + i = -y. Suppose n - r + 3 = 0, -i*n + 2*r = -n + 5. What is the remainder when n is divided by 1?
0
Let l(q) = 2*q**2 + 8*q - 1. Let t be l(-6). Let s = t - -16. What is the remainder when s is divided by 4/18 + (-356)/(-18)?
19
Let c = 14 + -7. Calculate the remainder when 4/(-14) + 324/c is divided by 12.
10
What is the remainder when 64 is divided by ((-220)/15)/((-4)/6)?
20
Let j(c) = -c**3 + 7*c**2 + 1. Suppose -4*m - 5*p = -2*p - 3, 5*p + 15 = 0. Suppose 9 + 9 = m*f. What is the remainder when j(f) is divided by 13?
11
Suppose 0 = w - 0*y + 4*y + 4, -23 = -w + 5*y. Suppose 0 = 2*c - w. Suppose 4*b + 18 = s, -c*s + 4*b = b - 59. Calculate the remainder when 27 is divided by s.
13
Suppose 0 = 4*g - 2 + 10. What is the remainder when 3*(9 + g) - 0 is divided by (-265)/(-25) + (-2)/(-5)?
10
Suppose 5*r = -4*m + 96 + 35, r - 73 = -2*m. Calculate the remainder when -42*(3 - m/9) is divided by 19.
18
Let c = 0 - -11. Let t = c + 5. What is the remainder when 31 is divided by t?
15
Suppose -2*t + 182 = 3*p, -3*p + 178 = -2*t - 0*t. What is the remainder when p is divided by 21?
18
What is the remainder when (4/7)/((-2)/(-14)) is divided by 10/6 - 4/6?
0
Let n(t) = 3*t**3 + 2*t**2 - 4*t - 3. Let q(w) = 7*w**3 + 4*w**2 - 7*w - 6. Let x(c) = -5*n(c) + 2*q(c). What is the remainder when 21 is divided by x(-4)?
10
Let f(i) = -i**2 + 9*i - 2. Let z(c) = -c**3 + 5*c**2 + c + 2. Let u be z(5). What is the remainder when 22 is divided by f(u)?
10
Let f(c) be the second derivative of -c**5/20 + c**4/12 - c**3/6 + 4*c**2 + 3*c. Calculate the remainder when f(0) is divided by 5.
3
Let q(s) = -s**2 + s + 10. Suppose -2*k + 10 = -2*i, 3*k - 25 = -0*k + 5*i. What is the remainder when 38 is divided by q(k)?
8
Let y = 31 + -13. Suppose 27 = 3*n - 3*t, -5*n = -t - 37 + 8. Calculate the remainder when y is divided by n.
3
Suppose 4*l - 8 = -0. What is the remainder when 5 is divided by 4 + l + (-4 - -1)?
2
Let b(u) = -u**3 + 22*u**2 - u + 32. What is the remainder when 51 is divided by b(22)?
1
Let a = -8 - -61. Calculate the remainder when a is divided by (-74)/(-4) - 4/8.
17
Suppose 0*z - 12 = -5*z - 2*i, -3*z + 4*i + 28 = 0. What is the remainder when 89 is divided by 3/(-6) - (-122)/z?
29
Let u = -101 - -163. What is the remainder when u is divided by 16?
14
Suppose -3*s + s = 0, 0 = -5*d - 5*s + 75. Let v = d + -3. Calculate the remainder when 22 is divided by v.
10
Let n(z) = -z - 1 - 6*z**2 + 4*z**2 + z**3 + 0. Let q be n(3). Suppose -d + 35 = 4*o - 4*d, -q*o - d + 58 = 0. What is the remainder when 31 is divided by o?
9
Let x(m) = -m**3 - 2*m**2 - 2*m + 2. Let v be x(-2). Suppose o - 4*d = -9*d - 8, -2*d - 6 = 0. What is the remainder when 148/v + (-1)/(-3) is divided by o?
4
Let x(v) be the second derivative of 1/6*v**4 - 3*v + 0 - 3/2*v**2 + 1/6*v**3. Calculate the remainder when 23 is divided by x(-3).
11
Let w = 33 - 3. Let u(a) = a**3 + 7*a**2 - 10*a. What is the remainder when w is divided by u(-8)?
14
What is the remainder when 11 is divided by (-18)/45 + (-37)/(-5)?
4
Let m(k) = 2*k + 31. What is the remainder when 66 is divided by m(-7)?
15
Let v = 208 + -138. Suppose -36 = -3*w + w. Calculate the remainder when v is divided by w.
16
Let d(m) = -10*m. Let o be d(-1). Suppose -7 + 0