.
8
Let v = 131 + -60. Suppose 5*s - 82 = s - 2*z, -3*z + 15 = 0. What is the remainder when v is divided by s?
17
Suppose 0 = -0*n + 2*n - 46. What is the remainder when n is divided by 12?
11
What is the remainder when ((-36)/(-90))/((-2)/(-1060)) is divided by 54?
50
Suppose -3*t + 7 + 20 = 0. Let g = -52 - -76. Calculate the remainder when g is divided by t.
6
Calculate the remainder when 64 is divided by (-3 - 21/(-3)) + 18.
20
Let z be (-394)/(-3) + 2/3. Suppose -6*q + 2*q = -z. Suppose 2*i + 2*y - 91 = -3*i, -56 = -4*i + 4*y. Calculate the remainder when q is divided by i.
16
Suppose -35 = -4*h + 5*x + 53, h - 2*x - 25 = 0. Calculate the remainder when h is divided by 10.
7
Suppose q = -4*t + 11, 4*t + 1 = 3*q - 0. Suppose j + q = -0. What is the remainder when 23 is divided by -8*((-2)/(-1) + j)?
7
Let z = 9 - 5. What is the remainder when 15 is divided by z?
3
Let t(h) = h**3 - 10*h**2 - 8*h + 13. Let d(y) = -y**2 + 1. Let c(p) = 3*d(p) - t(p). What is the remainder when c(7) is divided by (-2)/5 - (-164)/10?
14
Suppose -31 = -5*y - 4*q, 2*y - 6*y + 4*q + 32 = 0. What is the remainder when 25 is divided by y?
4
Let n = 1 + 0. Let q = n + -2. Calculate the remainder when 1*q/3*-15 is divided by 3.
2
Suppose 5*g - 12 = -2*i + 11, -5*i - 2*g = -47. What is the remainder when 34 is divided by i?
7
Let c be (-1 - -6)*12/(-5). Let g(m) be the third derivative of m**5/60 + 5*m**4/12 - 7*m**3/3 - 3*m**2. What is the remainder when 29 is divided by g(c)?
9
Suppose 182 = 90*w - 89*w. Calculate the remainder when w is divided by 46.
44
Suppose 3*r + 10 = 8*r. Calculate the remainder when 226/4 - r/(-4) is divided by 15.
12
Let r = -13 - -18. Suppose 5*v - 360 = r*a - 3*a, 2*a = 0. What is the remainder when v is divided by 25?
22
What is the remainder when 67 is divided by (-27)/9 + (1 - -36)?
33
Let a = 9 - -4. Suppose -2*f = -5*n - 20, 3*n + 0 = -6. Suppose -j = 3*m - 12, f*m = 3*j - 4*j + 22. What is the remainder when a is divided by m?
3
Suppose 7*x - 12 = 9. Let a = -13 + 9. Let q = a + 7. What is the remainder when q is divided by x?
0
Let q be -1 + 1 - (-8 + 0). What is the remainder when (-78)/q*(0 - 4) is divided by 272/14 - 12/(-21)?
19
Let b be 2 + (2 - 3) + 32. Suppose q = -7 + b. Let w(t) = -t**3 + 4*t**2 + 5*t - 6. Calculate the remainder when q is divided by w(4).
12
Let y be ((-4)/(-10))/((-3)/15). Let j be (-2)/y - (-9 + -2). Suppose -z - 5 = -j. What is the remainder when z is divided by 4?
3
Suppose 0*u = -2*u + 20. Suppose 46 = 2*j - u. What is the remainder when j is divided by 10?
8
Suppose n = 20 - 6. Suppose -3*b + 53 + 28 = 0. What is the remainder when b is divided by n?
13
Suppose 0 = 2*t - 2*u - 14, -u = t - 3*u - 10. Let p be t + 2 + 3/(-3). Suppose -4*k - 12 = -p*k. What is the remainder when k is divided by 7?
5
Suppose 0 = -s - 2, 0*r + r = -2*s + 7. Calculate the remainder when 32 is divided by r.
10
Let i = 7 - -6. Let n(m) = 2*m + 1. Let j be n(1). Suppose 13 = -j*d + 28. What is the remainder when i is divided by d?
3
Let h(q) = -5*q - 1. Let t be h(-1). Suppose -2 - 2 = -t*p. Let b(s) = 9*s**3 - s**2 + 1. What is the remainder when 25 is divided by b(p)?
7
Let v = -20 - -28. Suppose a - 3*a = 4*y - 44, 4*a = -3*y + 23. Calculate the remainder when y is divided by v.
5
Suppose z + 4*z = 0. Let d(i) be the third derivative of -i**4/24 + 7*i**3/6 - 2*i**2. Calculate the remainder when 19 is divided by d(z).
5
Calculate the remainder when 33 is divided by 8/36 + (-106)/(-9).
9
Suppose r - 4*r - 4 = 2*k, 2*r + 4 = 0. What is the remainder when 32 is divided by 22 + -2 + (k - 4)?
15
Let n = 14 - 6. What is the remainder when 31 is divided by n?
7
Suppose 0*b = 5*b - 45. Calculate the remainder when b is divided by 5.
4
Let y(v) = 3*v - 2. Let s be 2 - -1 - 3/3. Let p be y(s). Suppose -7 + 27 = p*d. Calculate the remainder when 13 is divided by d.
3
Suppose -2*q - 2*d = -52, -q + 18 = -5*d + 4. Let w = q - -7. Calculate the remainder when w is divided by 11.
9
Suppose -214*v - 4 = -216*v. Suppose -2*f = f - 9. What is the remainder when f is divided by v?
1
Let p(f) be the second derivative of 19*f**4/6 - 2*f. Suppose b = 5*b - 52. Calculate the remainder when p(-1) is divided by b.
12
Let n = 2 - -2. Suppose n*h - 5*b = -0*b + 48, 31 = 5*h + b. What is the remainder when 25 is divided by h?
4
Let u = 13 - 5. What is the remainder when 21 is divided by u?
5
Suppose -3*h = 3*c - 102, -2*c + 3*h = c - 108. Suppose 7*x - 68 = 16. Calculate the remainder when c is divided by x.
11
Let n(b) = 49*b + 1. Let j be (2/(-5))/(2/(-10)). Let w be n(j). Suppose w = 2*l + l. Calculate the remainder when l is divided by 17.
16
Let k(s) = -s**3 - 6*s**2 - 7*s - 4. Calculate the remainder when k(-5) is divided by 2.
0
Let l = -16 + 10. Let j(y) = y**2 + y - 1. What is the remainder when j(l) is divided by 15?
14
Suppose 5*c + 15 = -m, 0 = -3*c + 2*m - 8 - 1. Let k(p) = -4*p - 3. Let a = 7 - -19. What is the remainder when a is divided by k(c)?
8
Let d(v) = -17*v**3 - 2*v**2 + 1. Calculate the remainder when 6*1/3 - -60 is divided by d(-1).
14
What is the remainder when (-5 + 6/1)*107 is divided by 10?
7
Let o = 99 - 68. Let s(c) = 10*c - 1. Let f be s(-2). Let q = f + 29. Calculate the remainder when o is divided by q.
7
Suppose -5 - 6 = 3*d + 4*w, 3*d + w + 14 = 0. Let b(f) = -f**2 - 12*f - 1. Calculate the remainder when b(d) is divided by 9.
7
Suppose -3*n - w + 12 = 0, w + 1 = 4. Let z = 3 + 0. Calculate the remainder when ((-4)/n)/((-2)/6) is divided by z.
1
Let i(s) = -s - s - 1 - 7*s. What is the remainder when i(-7) is divided by 16?
14
Let c(q) = q**2 + 2*q + 3. Let s be c(-2). Suppose 15 = -s*t, -3*t - t - 216 = -4*r. Calculate the remainder when r is divided by 17.
15
Let o(j) = j**3 - 3*j**2 - 4*j + 6. Let i = 3 + 1. Calculate the remainder when o(i) is divided by 4.
2
Let u(f) = f**3 - f**2 - 2*f + 3. Let d be u(2). Suppose -5*z = c - 22 - 31, 0 = -d*c - 4*z + 137. Calculate the remainder when c is divided by 11.
10
Suppose -2*o + 49 = 3*o - 3*w, 4*w - 12 = -3*o. What is the remainder when 8 is divided by o?
0
Suppose -2*m + 4 = -4. Suppose -m*h + 38 = -26. Calculate the remainder when h is divided by 6.
4
Suppose 3*r - 92 = -29. Suppose x + 2*x = r. Let u = x + 26. What is the remainder when u is divided by 12?
9
Calculate the remainder when (-2)/(-6) - 56/(-21) is divided by (3/(-2))/((-12)/8).
0
Let g(l) = -l**3 + 17*l**2 + 2*l + 5. Calculate the remainder when g(17) is divided by 14.
11
Let d(h) = h**3 - 6*h**2 - 7*h + 3. Calculate the remainder when 16 is divided by d(7).
1
Let h = 4 - 14. Let q = 14 + h. Calculate the remainder when 9 is divided by q.
1
Let j = -61 + 32. Let q = j + 58. What is the remainder when 114 is divided by q?
27
Let l = 54 - 34. Calculate the remainder when 58 is divided by l.
18
Suppose 4*z - 12 = 0, -2*x + 26 - 7 = z. Suppose x = 5*s - 7, -2*l = -5*s - 29. Calculate the remainder when l is divided by 12.
10
Let o be 1/((-2)/(1 + -5)). Suppose 28 + 1 = o*p - i, -4*i - 64 = -4*p. Let a(v) = 7*v - 2. What is the remainder when p is divided by a(1)?
3
Let s be 4/(-10) + (-224)/(-35). Let v(g) = g**3 - 6*g**2 + 6. Calculate the remainder when 17 is divided by v(s).
5
Suppose 11 = -2*i - 5*d, -3*d + 5*d + 8 = i. Suppose 4*y = i*q - 36, 0*q - 3*q + 2*y + 38 = 0. Calculate the remainder when 37 is divided by q.
7
Suppose -3*s = 5*g - 69, -1 = 4*s - 13. What is the remainder when 68 is divided by g?
8
Let v = 41 + 19. Calculate the remainder when v is divided by 21.
18
Calculate the remainder when 47 is divided by (-1)/2*12*(-35)/14.
2
Let q = 3 - -9. Suppose 5*v + 2*o = o + q, 5*v = 3*o + 4. What is the remainder when -1*3/(-6)*v is divided by 1?
0
Let a = -40 + 98. Calculate the remainder when a is divided by 20.
18
Suppose 5*t = -4*z + 8 - 2, 5*t = 4*z + 14. Suppose 2*k + 2*k - 12 = 0. Let i = k + z. Calculate the remainder when i is divided by 1.
0
Suppose -j + 3*a + 24 = 0, 0 = 2*j + a - 0*a - 13. What is the remainder when 35 is divided by j?
8
Suppose 0 = -2*t - 2*u + 20, -2*t - 2*u + 33 = t. Let l(o) = -2*o**2 - 3*o + 10. Let i be l(8). What is the remainder when i/(-6) - 16/(-48) is divided by t?
11
Let p(t) = -t**2 + 5*t + 80. Calculate the remainder when p(0) is divided by 41.
39