 = 16. What is the remainder when r is divided by 6?
4
Suppose -2*k + 28 = -4*g, 0 = 2*k + 2*g - 29 - 23. Calculate the remainder when 83 is divided by k.
17
What is the remainder when 108 is divided by (1/(-2) - -1) + (-275)/(-10)?
24
Suppose -5*j + 3*b = -36, 0 = 3*j + b - 12 - 4. What is the remainder when 10 is divided by j?
4
Let x(c) = c**2 + 10*c + 4. Let p be x(-8). Calculate the remainder when 7 is divided by (p/(-14))/((-4)/(-14)).
1
Let s = 2 - -1. Suppose 49 = 2*k + s*j, j = 4*k - 3*j - 128. Suppose m - 7*i = -3*i + 1, 3*i = -m + k. Calculate the remainder when m is divided by 6.
5
Suppose 0 = 4*y - 0 + 4. Let r(k) = 8*k**2 - 1. What is the remainder when 19 is divided by r(y)?
5
Let t be (-22)/(-18) + 4/(-18). Suppose 33 = 6*f - 75. Calculate the remainder when f is divided by (3 - -2)/(t/2).
8
Let w(a) = -a**3 - 5*a**2 - 3*a + 7. Let f be 26/(-4) + (-1)/(-2). Let g(y) = 3*y**2 - 26*y - 24. What is the remainder when w(f) is divided by g(10)?
13
Let a(n) = 14*n**3 + 2*n - 2. Let s be a(2). Let x(l) = l - 2. Calculate the remainder when (4/3)/(4/s) is divided by x(15).
12
Suppose y - 14 = 4*d - 48, -5*d = 4*y - 53. Calculate the remainder when 14 is divided by d.
5
What is the remainder when 16 is divided by (-2 + 12)*(3 - 2)?
6
Suppose -t = 2*j - j - 12, t - 16 = -5*j. Calculate the remainder when t is divided by 6.
5
Let h(m) be the first derivative of -m**4/4 + 7*m**3/3 - 3*m**2/2 + 5*m - 1. Calculate the remainder when h(4) is divided by 11.
8
Let p = 87 + -51. What is the remainder when 70 is divided by p?
34
Let r = -60 - -70. What is the remainder when 37 is divided by r?
7
Let y = 47 + 53. Calculate the remainder when y is divided by 21.
16
Let w(d) be the third derivative of d**5/20 + d**4/24 - d**3/6 + d**2. Let j be w(-2). Let r = j - 4. Calculate the remainder when 14 is divided by r.
4
Suppose 1024 = 5*q + a, -2*q - 4*a + 424 = -0*q. Calculate the remainder when q is divided by 41.
40
Let z = 54 - 31. Suppose 0 = -3*w + 5*x + 6, 4*w + 6 = -4*x - 18. Let y = w + z. Calculate the remainder when y is divided by 11.
9
What is the remainder when 794/9 - (-18)/(-81) is divided by 23?
19
Suppose -2 = -5*s + 4*s. Let m be (-15)/s*(-22)/11. Let x = m - -8. What is the remainder when 44 is divided by x?
21
Let f(x) = x - 1. Let g(a) = 10*a - 12. Let r(m) = -6*f(m) + g(m). What is the remainder when 35 is divided by r(6)?
17
Let g(z) = 11*z**2 - 2*z - 2. What is the remainder when g(-2) is divided by 12?
10
Let z(a) = -a**2 - 8*a. What is the remainder when z(-5) is divided by 8?
7
Let g(l) = l**3 + l**2 - l + 11. What is the remainder when (37 - 5)/(0 + 1) is divided by g(0)?
10
Let j be (-21)/(-2)*(-4)/(-7). Suppose -108 = 2*w - j*w. What is the remainder when 53 is divided by w?
26
Let r = 13 - 22. Let a = -2 - r. What is the remainder when 12 is divided by a?
5
Let f = 4 - 4. Let g = 63 + f. Calculate the remainder when g is divided by 16.
15
Let m(s) = s**3 - 4*s**2 - 3*s - 1. Let j be m(-2). Let x = -33 - j. Let z = -9 - x. What is the remainder when 14 is divided by z?
4
Calculate the remainder when 23 is divided by 1 - -22*3/6.
11
Let s = -13 - -33. What is the remainder when 30 is divided by s?
10
Let j = -30 + 18. Let t(y) = -y**2 - 17*y - 12. What is the remainder when t(j) is divided by 17?
14
Suppose 4*t + 84 = 4*n, -32 + 10 = t - 2*n. Let s = -18 - t. What is the remainder when 3 is divided by s?
1
Let y = 6 - 3. Suppose -8 + 5 = -y*j. Calculate the remainder when (46/8)/(j/4) is divided by 12.
11
Suppose x + 4*t - 426 = 96, 0 = 5*x - 4*t - 2538. What is the remainder when x/12 - 1/(-2) is divided by 23?
20
Suppose 4*o - 76 = -2*y - 2*y, 2*y - 48 = 3*o. Let k = 117 - 55. Calculate the remainder when k is divided by y.
20
Let i(j) = -j**3 + 5*j**2 - 5*j + 4. Let g be i(3). Calculate the remainder when 1*g*(14 - 3) is divided by 16.
13
Let u(y) = -y - 2. Let c = 25 + 12. Suppose 0 = -5*f - 4*k + c, 4*f + 2*k = 3*f + 5. Calculate the remainder when f is divided by u(-7).
4
Calculate the remainder when 25 is divided by (-1)/(4 + (-228)/56).
11
Suppose c - 4*u + u - 26 = 0, -5*c + 3*u + 82 = 0. What is the remainder when 95 is divided by c?
11
Let v = 16 - 7. Let x(g) = 2*g - 11. Let c be x(5). Let t(k) = -6*k**3 - 2*k**2 - 2*k - 1. What is the remainder when v is divided by t(c)?
4
Let y(p) be the first derivative of p**3/3 - 7*p + 2. Let s be y(0). Let g(r) = r**2 + 5*r + 2. Calculate the remainder when 31 is divided by g(s).
15
Suppose -a + 6*a + 2*s - 7 = 0, 3*s = -4*a. Suppose 0 = 2*y - 1 - a. Calculate the remainder when 7 is divided by y.
1
Let x be 3*(-3)/(-6)*-6. Let q be 2/x + 50/(-18). Let t = q + 10. What is the remainder when 19 is divided by t?
5
Suppose 4*b = 2*v - b - 40, v + 2 = -3*b. What is the remainder when 17 is divided by v?
7
Let o(w) = 10*w + 8. Suppose -2*g = -5*k, 5*k + 6 = 2*g + 3*k. Calculate the remainder when o(g) is divided by 15.
13
Let m = -24 - -55. What is the remainder when 90 is divided by m?
28
Let d(w) = -w**3 + 5*w**2 - w - 2. Let b(u) = -u - 1. Let s be b(-2). Let n be (8/(-10))/(s/(-5)). What is the remainder when 18 is divided by d(n)?
8
Let z = 4 - 1. Let g = -15 + 14. Let u(v) = -4*v - 1. Calculate the remainder when u(g) is divided by z.
0
Suppose 0*k - 38 = -k. What is the remainder when 112 is divided by k?
36
Suppose -3*c = 15, -y = -0*y + 4*c + 20. Suppose y*f = f - 132. Suppose b + 2*b = f. What is the remainder when b is divided by 15?
14
Let a = -12 + 18. Suppose h + h - a = 0. Let d = 15 - h. Calculate the remainder when d is divided by 7.
5
Calculate the remainder when 1 - 1 - (-25 + -48) is divided by 25.
23
Let y = 158 + -103. Suppose -k + 2 = -26. Calculate the remainder when y is divided by k.
27
Let s = -6 + 2. Let j(r) be the second derivative of -2*r**3/3 - 5*r**2/2 + r. What is the remainder when 31 is divided by j(s)?
9
Let s be -2*3 + 3 - 0. What is the remainder when 7 is divided by 4/12 + (-8)/s?
1
Let v be ((-2 - -3) + 0)*-3. What is the remainder when (-152)/12*v + -1 is divided by 8?
5
Let u be (-18)/(4/2) + 0. Let v = u + 11. Calculate the remainder when 4 is divided by v.
0
Let r(g) = -5*g**3 - 2. Let m(u) = -u**3 + 8*u**2 - 7*u + 5. Let v be m(7). Suppose v*z = -0 + 65. Calculate the remainder when r(-2) is divided by z.
12
Let j(o) = 6*o + 1. Suppose -5*l + 14 + 86 = 0. Calculate the remainder when l is divided by j(1).
6
Let v(n) = n**2 - n - 7. Let t be v(4). Suppose t*w + 21 = 6*w. Calculate the remainder when 41 is divided by w.
20
Let a be (4/12)/((-2)/174). Let m = a - -48. What is the remainder when 55 is divided by m?
17
Suppose -2*r = -m - 3*m + 6, 5*m - 14 = 3*r. What is the remainder when 17 is divided by 252/52 - 2/r?
2
Calculate the remainder when (-2)/10 - (-2796)/30 is divided by 24.
21
Let x be -1 + -2 + -3 + -2. Calculate the remainder when ((-4)/8)/(1/x) is divided by 2.
0
Let y(v) = v**3 + 5*v**2 + 2*v + 5. Suppose -7*l + 504 = 7*l. What is the remainder when l is divided by y(-4)?
10
Suppose -159 - 9 = -3*g. Suppose -4*q - 6*a + g = -4*a, 4*q + 3*a - 56 = 0. What is the remainder when 41 is divided by q?
13
Calculate the remainder when (-3837)/(-13) - 1/((-26)/(-4)) is divided by 33.
31
Suppose 2*h = -4*l + 138, -h - 240 = -5*h + l. Let p(i) = -2*i**3 + 2*i**2 + 3*i + 3. What is the remainder when h is divided by p(-2)?
19
Let t(b) = -10*b + 23. What is the remainder when t(-15) is divided by 8?
5
Let p = 69 - 37. Suppose -1 + 8 = -2*x - 3*l, -2*x + 28 = -4*l. What is the remainder when p is divided by (-2)/2 + x*3?
10
Let j = 26 - 80. Let y = 79 + j. What is the remainder when y is divided by 9?
7
Let v = -1 - -1. Let k(u) = u + 8. Let h be k(-4). Suppose h*l - 8 = -v*l. Calculate the remainder when 2 is divided by l.
0
What is the remainder when 187 is divided by 756/(-70)*5/(-2)?
25
Let w be 2/18*3*9. Suppose -k - 10 = -w*k. Suppose 3*t - 8*t + 105 = 5*x, t = k*x + 33. What is the remainder when t is divided by 12?
11
Suppose -2*z - z + 24 = 0. Let t = z - 4. Calculate the remainder when 5 is divided by t.
1
Let o(r) = 3*r**2 + 5*r + 10. Calculate the remainder when o(-3) is divided by 9.
4
Suppose 13*m - 12*m = 39. What is the remainder when m is divided by 14?
11
Let i(l) = 4*l**2 - 4*l + 2. Calculate the remainder wh