p = -11 - y. What is the remainder when p is divided by 11?
10
Suppose -4*m + 10 = -42. What is the remainder when 33 is divided by m?
7
Let w(p) = p**3 + 7*p**2 - 9*p + 8. Let f = 12 + -3. What is the remainder when w(-8) is divided by f?
7
Suppose 2*t = -4*h + 114, -2*t - 3*h - 250 = -6*t. What is the remainder when t is divided by (-2 - (-15)/6) + (-124)/(-8)?
13
Suppose 155 = 6*q - q. What is the remainder when q is divided by 15 - (1 + 1)/(-2)?
15
Let t(v) = -v**2 + 12*v - 10. What is the remainder when 82 is divided by t(9)?
14
Let g(x) = -x + 6. Let n be g(-6). Let r(u) = u**2 + 5*u - 16. Let w be r(-8). Let f = w + n. What is the remainder when f is divided by 11?
9
Suppose 8 = -5*i - 307. Let t = -26 - i. Calculate the remainder when t is divided by 19.
18
Let j(a) = -a**2 + 19*a - 20. Calculate the remainder when j(8) is divided by 15.
8
Suppose -7*t + 2*t + 270 = 0. Suppose -41 - t = 5*g. Let m = 28 + g. Calculate the remainder when 17 is divided by m.
8
Calculate the remainder when (4 - (-138)/(-36)) + 239/6 is divided by 374/18 - 4/(-18).
19
Suppose 2*c - 2*t + 0*t = -2, -4*c - 19 = -t. Let r(f) = 2*f**2 + 5*f - 4. What is the remainder when r(c) is divided by 13?
12
Let g(w) be the first derivative of 3*w**2/2 + 2*w - 1. Let a = 26 - 5. What is the remainder when a is divided by g(3)?
10
Let c(f) = -f**2 + 6*f - 6. Let x be c(4). Let a be 70/(x*(-2)/(-4)). What is the remainder when 33 is divided by (-3)/(-12) + a/8?
6
Let a(w) = w**2 - 3*w - 27. Calculate the remainder when 45 is divided by a(-5).
6
Let c = -20 + 34. What is the remainder when 3/(-5) + 138/5 is divided by c?
13
Suppose -2*u + 29 = 2*u + b, 27 = 2*u + 3*b. What is the remainder when u is divided by 2?
0
Let m = 0 + -4. Let k = 23 - m. Calculate the remainder when k is divided by 14.
13
Let r(n) be the third derivative of -n**5/60 + 5*n**4/24 + 4*n**2. What is the remainder when r(4) is divided by 2?
0
Calculate the remainder when (-1)/(1*(-1)/43) is divided by 11.
10
Suppose -29 + 18 = -d. What is the remainder when 35 is divided by d?
2
Let m be 2*-1 + 9 + 1. Suppose m = -t + 2*c, -t - 25 = 4*t - 5*c. What is the remainder when 25 is divided by t + 17 - (1 + 1)?
12
Suppose 2*v - 8 = 4. Let c be 1*-2 + 1 + 5. Suppose 2*z = z + c. What is the remainder when v is divided by z?
2
Suppose 0 = -u + 4*i + 16, 0 = -u - 2*u - 4*i + 16. What is the remainder when 37 is divided by u?
5
Suppose -20*l = -15*l + 40. Let i(u) = -19*u - 5. Let s be i(-5). What is the remainder when 31 is divided by (-1)/4 - s/l?
9
Suppose 2*w = -w + 78. Let d = -9 + 21. Suppose w = -3*z + 2*a + 77, z + a = d. What is the remainder when 43 is divided by z?
13
Suppose 1 = -3*o + 7. Suppose o*a - 24 = -2*a. What is the remainder when 29 is divided by a?
5
Suppose -3*b - 5*h + 36 = -h, 60 = 5*b - 2*h. Calculate the remainder when 33 is divided by b.
9
Suppose 0 = a - 1 - 0, -3*a = 2*u - 15. Suppose 0*f + u = f. Let i(y) = -y**3 - 2*y**2 + y + 4. What is the remainder when i(-3) is divided by f?
4
Let v = -28 + 30. Suppose -v*i = 3*i - 190. What is the remainder when i is divided by 10?
8
Suppose 2*j - 18 = -4*j. Let f = 8 + -6. Calculate the remainder when j is divided by f.
1
Suppose y = -o - 10 + 44, -4*y - 8 = 0. What is the remainder when o is divided by 10?
6
What is the remainder when 27 is divided by (-4 - -3)/((-3)/21)?
6
Suppose 2 - 30 = -4*t. Suppose t*v = 3*q + 3*v - 84, 0 = -2*q + 3*v + 56. Calculate the remainder when q is divided by 15.
13
Let d be ((-118)/6 + 1)*-42. Calculate the remainder when (4/8)/(4/d) is divided by 25.
23
Let f(z) = 6*z**2 + z - 1. Calculate the remainder when f(1) is divided by 3.
0
Suppose 11 = -3*p + 47. Let a = -136 + 143. What is the remainder when p is divided by a?
5
Suppose 2*s = -3*z + 321 + 9, -5*z = 4*s - 656. What is the remainder when s is divided by 40?
39
Let j(h) = -15*h + 1. Let k be j(2). Let s = k - -41. What is the remainder when (-9 - -2)*(0 - 5) is divided by s?
11
Suppose -7*w + 69 = -4*w. Let q be 0/(-1) + 2 + 22. What is the remainder when w is divided by (2 + q/(-10))*-30?
11
Let k = -3 - -3. Suppose k = 5*l - 26 + 6. Calculate the remainder when 10 is divided by l.
2
Suppose 0 = -4*t, -2*t + 0*t + 87 = 3*r. Calculate the remainder when r is divided by 17.
12
Suppose 0 = d + 4 - 182. What is the remainder when d is divided by 45?
43
Suppose 9*a = a + 32. Suppose 0 = 3*r + 2*r - 70. What is the remainder when r is divided by a?
2
Suppose 0 = -w + 4*w - 6. Suppose -s + 36 = w*s. Suppose 0 = -0*k - 3*k + s. What is the remainder when 10 is divided by k?
2
Let a(r) = 8*r - 4. Let g be a(5). Suppose 2*s = -2*z - s + 41, 0 = -2*z + 2*s + g. Let t(n) = n**2 + 10. What is the remainder when z is divided by t(0)?
9
Let q(s) = s**3 - s**2 - s + 151. Calculate the remainder when q(0) is divided by 14.
11
Suppose 6 = 6*d - 3*d. Calculate the remainder when d/4 - (-102)/12 is divided by 6.
3
Let f = 6 - 3. Let w = -235 + 244. What is the remainder when w is divided by f?
0
Let f = 12 + 5. Suppose -5*m + 58 + f = 0. Suppose 4*z - 42 = -2*w - 0*w, 4*w = -3*z + 44. What is the remainder when m is divided by z?
7
Suppose -2 = 2*j - 34. Suppose -r + 16 = 3*y, 2*y = r + r + j. What is the remainder when 15 is divided by y?
3
Let y(v) = 8*v + 1. Calculate the remainder when y(2) is divided by 5.
2
What is the remainder when 34 is divided by ((-4)/(-6))/(40/1140)?
15
Suppose -4*k + 5*a - 9 = -3*k, 5*k - 5*a - 15 = 0. Suppose t - 4 - k = 0. Suppose 4*p - 24 = 92. What is the remainder when p is divided by t?
9
Let i(z) = -8*z**3 + z**2 - 2*z - 1. What is the remainder when 77 is divided by i(-1)?
7
Suppose 282 = 6*f - 0*f. Let q be -23*1*(-2)/2. Suppose b = 4*k - f, -3*k - q + 71 = -5*b. Calculate the remainder when 21 is divided by k.
10
Let i(t) = -t**2 + 17*t + 60. What is the remainder when 130 is divided by i(19)?
20
Let l(z) = -z**3 + 6*z**2 + 11*z - 14. What is the remainder when l(7) is divided by 6?
2
Let t(c) = c**2 - 4*c - 6. What is the remainder when 12/16 + 114/8 is divided by t(6)?
3
Let n = -7 - -8. Let w be (-3 - (2 - 25))/n. Suppose -w = -4*j - d + 8, 2*j + d - 16 = 0. What is the remainder when 21 is divided by j?
3
Let x(h) = h**2 - 4. Suppose -t + 2*t + 3*u = -5, -u - 32 = -4*t. What is the remainder when x(4) is divided by t?
5
Suppose -o = 18 - 114. Calculate the remainder when o is divided by 33.
30
Let s(z) = z + 6. Let q be s(9). Let c = q - -3. Let i = c + -12. Calculate the remainder when 17 is divided by i.
5
Let t = -22 + 41. Calculate the remainder when t is divided by 6/1*1 + 1.
5
Suppose -4*r + 7 + 4 = -a, -2*r + 4*a = -16. Let g(x) = 2*x**2 + 2*x - 3. Suppose -9*m = 41 - 194. Calculate the remainder when m is divided by g(r).
8
Let n = -54 + 72. Calculate the remainder when n is divided by 5.
3
Let h = 46 + -31. What is the remainder when (-10)/65 - (0 + (-1137)/39) is divided by h?
14
Let j(s) = 2*s**2 - 7*s. Suppose 3*x - 11 = 7. Calculate the remainder when j(x) is divided by 16.
14
Let t be (-1)/2 + (-274)/4. Let y = 97 + t. Calculate the remainder when y is divided by 30/(-20)*-2*5.
13
Let j(m) = -m**2 + 10*m - 4. Calculate the remainder when 81 is divided by j(5).
18
Suppose -4*w - 16 = 5*u, -4*w - 14 = -3*u + 2. Suppose 5*j = 4*s + 143, u = -4*j + 4*s + s + 109. What is the remainder when j is divided by ((-1)/1 - 0) + 17?
15
Let q(u) = 3 + 3 - 2 + 6*u - u**2 + 3. What is the remainder when 11 is divided by q(6)?
4
Let a(h) = h**2 + 14*h - 24. Calculate the remainder when a(-17) is divided by 10.
7
Suppose 35 = 7*o - 0*o. Calculate the remainder when o is divided by 3.
2
Let q(c) = c + 11. Suppose -2*r - 3*r + 28 = 2*w, 2*w - 26 = -4*r. Let d be q(w). Let a = d - 9. What is the remainder when 42 is divided by a?
9
Suppose 0 = -2*b - 4*c + 28, 3*b + 4*c - 6 = 2*b. What is the remainder when b is divided by 13?
9
Let c = 8 - 2. Suppose 0 = -4*h + 2*h + c. Calculate the remainder when 17 is divided by -4*(9/(-2))/h.
5
Let o(v) = -2*v + 4. Calculate the remainder when 39 is divided by o(-5).
11
What is the remainder when 92 is divided by (-3 - 1)*((-39)/2)/3?
14
Let v = 42 - 12. Let k(m) = m**2 - 7*m + 8. What is the remainder when v is divided by k(8)?
14
Let p = 23 - -2. Calculate the remainder when p is divided b