divided by 13.
11
What is the remainder when 66 is divided by (-68 - 0)*4/(-8)?
32
Let x = 2 + 0. Suppose x*p + 3*p = 70. Calculate the remainder when p is divided by 10/(-45) - 148/(-18).
6
Suppose 3*r - r - 114 = 0. Let w = -37 - -67. Calculate the remainder when r is divided by w.
27
Let b = -1 + 4. Let j be 137/b - 1/(-3). Suppose 0 = 4*f - 6 - j. Calculate the remainder when 24 is divided by f.
11
Let x(l) = -2*l - 4. Suppose j + 12 = 2*i + 3, 2*i + 2*j - 6 = 0. Let p be (-5)/10 + (-22)/i. Calculate the remainder when 23 is divided by x(p).
7
Suppose 4 = -2*i - 2. Suppose -4*l + 2*d + 56 = -2*d, 3*d - 38 = -5*l. What is the remainder when 12/(1/(i/(-2))) is divided by l?
8
Calculate the remainder when 25 is divided by (-33)/(-6) + (-12)/(-8).
4
Let u(z) = 3*z + 2. Let y = 14 + -7. What is the remainder when u(6) is divided by y?
6
Let m(z) = z - 1. Let w be m(3). Suppose -d + 114 = w*d. What is the remainder when d is divided by 13?
12
Suppose -3*d + 64 = 5*t, 4*d - 51 = 2*d - 5*t. Let v = 6 + 0. Let m(f) = -f**3 + 8*f**2 - 7*f + 7. What is the remainder when m(v) is divided by d?
11
Let s(w) = w - 4. Let b be s(7). Suppose b*d = 4*q + 5*d - 30, 10 = 2*q + 2*d. Suppose -z + 19 = -q. Calculate the remainder when z is divided by 10.
9
Suppose -30*u - 164 = -31*u. What is the remainder when u is divided by 33?
32
Calculate the remainder when 45 is divided by (5 + -2)*6/1.
9
Let g(q) = -q + 4. What is the remainder when 8 is divided by g(2)?
0
Let o be 1/(-5) + (-6)/(-5). Suppose 3*y - 3*q - 54 = 0, -3*q = 5*y - 59 + o. Let i = -2 - -10. What is the remainder when y is divided by i?
6
Suppose 0 = 4*i - 5*i - 270. Calculate the remainder when (4/6)/((-6)/i) is divided by 6/((-3)/16*-2).
14
What is the remainder when 53 + -13 - -2*1 is divided by 11?
9
Suppose v - 20 = -5*t, 0 = -0*v - 4*v + 4*t + 32. Suppose -3*k - 55 = -67. Calculate the remainder when v is divided by k.
2
Let d = -25 - -45. Calculate the remainder when 77 is divided by d.
17
Suppose 0*a = 5*a - 60. What is the remainder when (-4)/((-30)/44 - (-3)/6) is divided by a?
10
Let d(f) = 5*f**2 + f**3 + 5 - 4 + f - 3. Let h(k) = 36*k**2 - 2*k. What is the remainder when h(-1) is divided by d(-3)?
12
Suppose 2*i - 4 = 0, 2*c + 4*i = 5*i + 20. Suppose -d + 3*a = 46 + 80, -5*a = -5. What is the remainder when (-1 + -1)*d/6 is divided by c?
8
Let g(s) = s + 1. Suppose c - 15 = -4*c. Calculate the remainder when g(3) is divided by c.
1
Calculate the remainder when 8/20 + (-4)/10 - -9 is divided by 6.
3
Let u(s) = s**3 - 13*s**2 - 12*s - 12. Let p be u(14). Let o = p - 8. What is the remainder when 15 is divided by o?
7
Let k(n) = 3*n + 3. Let u be 2/(-10) - (-3)/15. Suppose 0 = -4*t - 3*r + 20, 4*t = -u*r + 2*r + 20. What is the remainder when k(t) is divided by 10?
8
Let v(g) = -g**3 - 4*g**2 - 3*g. Suppose -3*p = -4*c - 4*p + 16, -c + 13 = -2*p. Let i be -6 - c/((-10)/4). What is the remainder when 34 is divided by v(i)?
10
Suppose 0 = 2*m - 2 + 8. What is the remainder when 9 is divided by 1/m + 16/3?
4
Let a(p) = -11*p**2 - 2*p - 1. Let t be a(-1). Let h = t + 14. Let m = h + 17. What is the remainder when m is divided by 11?
10
Suppose 4*f = -5*s - 11, -33 = 2*f + s - 4*s. Let v = f + 14. Calculate the remainder when v is divided by 3.
2
Let v(r) = -10*r - 9. Let w be v(-6). Suppose 2*g - 3*u = 51, 146 = 4*g + u + w. Suppose 2*b + 70 = 3*b. Calculate the remainder when b is divided by g.
22
What is the remainder when 1/(2 + (-61)/31) is divided by 11?
9
Suppose -3*p + 116 = p. Let c = p - 19. Suppose 3*a + 20 = 5*i - 2*a, 0 = 5*i + 3*a - 36. What is the remainder when c is divided by i?
4
Calculate the remainder when 30/(-35)*(-74 - 3) is divided by 35.
31
What is the remainder when (5 + -12)*(1 + -6 - -3) is divided by 4/(-18) + 76/18?
2
Let s be ((-15)/(-12))/(1/(-4)). Let b = 12 + s. Suppose 0*r + r - 4 = -5*m, 0 = -2*r - 2*m + 32. Calculate the remainder when r is divided by b.
5
Let q(v) = -v**2 + 9*v - 5. What is the remainder when q(7) is divided by 3?
0
Suppose -5*d + 79 = -3*l, 4*l = 4*d - 64 + 4. What is the remainder when d is divided by 10?
7
Suppose -3*j + 664 = 5*j. Calculate the remainder when j is divided by 21.
20
Suppose -2*x + 7 = -1. Suppose 0*u = -u + 12. Suppose b - 2*m - 2 = -m, x*m - u = 0. What is the remainder when 8 is divided by b?
3
Let g(a) = -a**3 - 12*a**2 - 1. Let o be (-15)/(-2)*(-24)/15. Let s be g(o). Let r(x) = -18*x**3 + 2*x**2 + x. What is the remainder when r(s) is divided by 7?
5
Suppose -8 = -3*u + u. Let z = -7 + u. Calculate the remainder when 63 + z/6*-4 is divided by 17.
14
Suppose -r - 4*b = -4*r + 119, 2*r + 2*b = 98. Suppose -n - 11 = -27. Calculate the remainder when r is divided by n.
13
Let a be 3 - (12/3 + 2). Let v = a + 11. What is the remainder when 14 is divided by v?
6
Let p(x) = 8*x + 4. Let u be 2 - 1*4 - -5. Let r = 1 + 14. Calculate the remainder when p(u) is divided by r.
13
Suppose 0*t = 3*t. Suppose t*d - 22 = -2*d. What is the remainder when -5*1 - (308/(-11) + -9) is divided by d?
10
Suppose 0 = 2*r + 4*q - 50, 0*r + 54 = 2*r + 3*q. Let i = r + 7. Calculate the remainder when i is divided by 14.
12
Let n(g) = 4*g**2 + 3*g - 7. Calculate the remainder when n(3) is divided by 20.
18
Let z = 48 - 40. Calculate the remainder when 53 is divided by z.
5
Suppose -3*s = 5*z - 206, -6*s + 10 = -s. What is the remainder when 78 is divided by z?
38
Suppose -3*x - 2*c + 3*c + 44 = 0, x + 2*c - 17 = 0. Let g(j) = 3*j - j - 2 + 3 - 5*j**2 + 3*j**3. What is the remainder when g(3) is divided by x?
13
Suppose -4*a + 16 = -12. What is the remainder when a is divided by 4?
3
Let l be -1*(-3)/(-6)*6. What is the remainder when (-110)/(-15) + (-2)/l is divided by 3?
2
Let a = 7 - 1. Let q be (-3)/a + 9/2. Suppose -4 = -0*n - q*n. What is the remainder when n is divided by 1?
0
Suppose -4*d - 3*h + 33 = -2*h, 28 = 4*d - 4*h. Calculate the remainder when d is divided by 5.
3
Let y(j) be the third derivative of 5*j**4/6 - j**3/6 + j**2. Let k be y(-1). Let l = -11 - k. Calculate the remainder when 28 is divided by l.
8
Suppose -7*l + 291 = -66. Calculate the remainder when l is divided by 11.
7
Let i(m) = m**3 - 5*m**2 + 3*m + 4. What is the remainder when i(5) is divided by 13?
6
Suppose -6*k + 4*k = 3*d - 57, 0 = -2*d - 3*k + 43. Let x = 23 - d. What is the remainder when 21 is divided by x?
3
Suppose 12*i - 108 = 108. Let t = -81 + 113. What is the remainder when t is divided by i?
14
Let z be (1 + -2)/(3 + -4). Suppose -5*n + 85 = 4*p, 5*n = 3*n + 5*p + z. What is the remainder when 51 is divided by n?
12
Suppose 28 = 2*m - 4*f - 0*f, 42 = 3*m - 2*f. What is the remainder when 25 is divided by m?
11
Let b(q) = -q + 10. Let p be (-102)/(-14) + (-10)/35. Suppose 0 = -2*m + p*m - 140. What is the remainder when m is divided by b(0)?
8
Let i be 5/(-2) - (-3)/6. Calculate the remainder when 14 is divided by (-10)/12*i*3.
4
Let v = -44 - -62. Suppose u - v = -u. What is the remainder when 24 is divided by u?
6
Let l(f) = f**3 - 4*f**2 + 6*f - 5. Calculate the remainder when 56 is divided by l(4).
18
Let j be (0 - (-12 - -2)) + 2. Suppose -3*q = 5*m - 18, 0 = 4*m + 5*q - j - 5. What is the remainder when 7 is divided by m?
1
Suppose 0 = -5*o + o + 24. Suppose 25 = -b + o*b. Suppose -n + b = -3*f - 20, -5*n + 4*f + 169 = 0. What is the remainder when n is divided by 13?
11
Suppose -25 = -3*b - a, -4*a = -3*b + a + 1. Suppose z - 24 = b. What is the remainder when z is divided by 11?
9
What is the remainder when (-12)/30 - ((-344)/10 + -2) is divided by 8?
4
Let c(o) = 2*o**3 - 5*o**2 + 5. Let a be c(4). Suppose -4*s + a = 5*v, s + s = -6. What is the remainder when v is divided by (14/1)/2 - 0?
6
Let a = -12 + 49. Let u = a + -19. What is the remainder when 35 is divided by u?
17
Let o = 87 + -62. Let c = -12 + 20. Let u(k) = -k**3 + 7*k**2 + 10*k - 7. What is the remainder when o is divided by u(c)?
7
Let m = -12 + 36. Suppose -280 = -4*o - 4*s, 2*o - 2*s = -74 + 218. Calculate the remainder when o is divided by m.
23
Let x(n) = -n**2 + 8*n - 9. Let t be x(6). Suppose 3 = t*i - 3. Suppose -2*c = -3*c + 4. Calculate the remainder when c is divided by i.
0
Let h(g) = -g**3 - 11*g**2 - 11*g - 10. Let n be h(-10). What is the remainder when 