Let n = c + 15. What is the remainder when n is divided by 11?
9
Suppose -3*m + 32 = s, -m + 4*s + 1 + 1 = 0. What is the remainder when 28 is divided by m?
8
Suppose 3*u + 12 = 30. What is the remainder when 9 is divided by u?
3
Suppose 154 = -12*d + 23*d. What is the remainder when 55 is divided by d?
13
Let u = 18 + -10. Suppose 3*g + 4*p - 54 = 0, -5*g = -5*p + 3*p - 64. Calculate the remainder when g is divided by u.
6
Suppose 56 = 4*h - 0*h. Suppose -3*u + 2*u = -h. Calculate the remainder when u is divided by 8.
6
Let j(d) = -3*d + 1 + d - 8. Let y be j(-6). Suppose -1 - 87 = -y*n - l, l = -3*n + 52. What is the remainder when n is divided by 10?
8
Suppose 0 = -4*d + d + 132. Let c(f) = -f**2 + 9*f - 3. What is the remainder when d is divided by c(6)?
14
Suppose 3*b - 7*b = -140. What is the remainder when b is divided by (285/(-30))/(2/(-4))?
16
Suppose -5*a + 2*a = 9, -3*a - 21 = -2*j. Calculate the remainder when 28 is divided by j.
4
Suppose -2*m + 2 = -10. Suppose 0*a + a = m. Let b(z) = -7*z - 3. Calculate the remainder when b(-2) is divided by a.
5
Suppose 2*h - 5*h + 372 = -3*f, 5*f - 396 = -3*h. Calculate the remainder when h is divided by 32.
31
Suppose b - 2*w + 2 = 2*w, -3*b + 8 = 2*w. Suppose -9 = b*o - 3*o. What is the remainder when 17 is divided by o?
8
Let j(z) = z**3 + 3*z**2 - 2*z. What is the remainder when 22 is divided by j(-3)?
4
Let u = 14 - -145. Calculate the remainder when u is divided by 41.
36
Let x be (-75)/(-27) + (-4)/(-18). Suppose -35 = -x*d - 2. What is the remainder when d is divided by (8/(-20))/((-3)/30)?
3
Let i(s) = 5*s**3 - 3*s**2. Let m = 7 - 5. Let v be i(m). Suppose w + 3 = -5*l, 5*l + 91 = 4*w + v. What is the remainder when 23 is divided by w?
11
Suppose -3*l = l - y - 7, 4*y = -4*l + 32. Suppose 16 = -3*q - q, 2*h - l*q = 38. What is the remainder when h is divided by (-7 - 1)*-1 + -1?
6
Let y = -60 - -80. Calculate the remainder when 33 is divided by y.
13
Let y(f) = 3*f - 4. Calculate the remainder when y(6) is divided by 4.
2
Suppose j - 7*j + 42 = 0. Calculate the remainder when 25 is divided by j.
4
Suppose -q - 5*k - 1 = 3, -3*q - 3*k + 12 = 0. Let j(x) = -9*x - 8. Calculate the remainder when j(-2) is divided by q.
4
Suppose 3*b - 6 = -0. Suppose -4*z = n - 32, z = -b*n + 3*z + 24. Calculate the remainder when 31 is divided by n.
15
Let f = 23 - -1. Calculate the remainder when 44 is divided by f.
20
Let g(m) = 4*m**2 + 2*m - 1. Calculate the remainder when g(-2) is divided by 6.
5
Suppose 4*l = 701 - 157. Suppose -2*c - 3*z + 11 = -l, 0 = -5*c + 5*z + 355. Suppose 17 - c = -5*i. What is the remainder when 20 is divided by i?
9
Suppose -4*y = -y - 69. Let i = y - 14. What is the remainder when 16 is divided by i?
7
Let n(f) = -f**2 + 4*f**2 - 2*f - 2 - f + 1. Calculate the remainder when 65 is divided by n(3).
14
Let i be 2176/52 - (-4)/26. Suppose 0 = -6*b + 8*b - i. Calculate the remainder when b is divided by 8.
5
Calculate the remainder when 286/(-5)*65/(-26) is divided by 48.
47
Let x be 10/75 + 64/(-30). Let p = x - -31. Calculate the remainder when p is divided by 8.
5
Let z(p) = p + 5. Let m be z(0). Let t be (-2)/5 - (-17)/m. Suppose -5*s + 74 = -t*s. Calculate the remainder when s is divided by 13.
11
Let n(k) = -1 - 9*k**3 + 0 + 27*k**3 + k**2. Let r be n(-1). Let o = r + 32. What is the remainder when 40 is divided by o?
12
Let n be (4/1)/1 + -1. Suppose -n - 7 = -2*h. Suppose 8 = -2*a, -38 = -b + 3*a - 7. Calculate the remainder when b is divided by h.
4
What is the remainder when 89 is divided by -1 - (-35)/(-10)*-4?
11
Let n = 40 + -30. What is the remainder when 38 is divided by n?
8
Suppose 4*t + 5*l - 47 = 0, l - 24 = 5*t - 90. What is the remainder when t is divided by 9 - 1 - (6 - 5)?
6
Let y(a) = -10*a - 48. Suppose q - 85 = -0*q. Calculate the remainder when q is divided by y(-7).
19
Let s(d) = -8*d - 20. Calculate the remainder when 221 is divided by s(-6).
25
What is the remainder when 7/(-35) + 9/(-30)*-74 is divided by 12?
10
Suppose -3*r + 3*n + 18 = r, -3*r + 20 = n. Suppose 0 = 5*c - 2*c - 48. Calculate the remainder when c is divided by r.
4
Suppose q - 2*o + 11 = 0, -3*o = 2*q - 16 + 3. Calculate the remainder when 23 is divided by 13 - (-2 - -1)*q.
11
Suppose -5*d = -5, -2*n - 3*d + 4*d = -3. Let p(j) = j**2 - 2. Let t be p(0). Calculate the remainder when (-5)/t*(5 - 3) is divided by n.
1
Suppose m - 17 = 9. Calculate the remainder when m is divided by 9.
8
Let n be (-6)/21 - 660/(-7). Let r = 35 - 71. What is the remainder when 8/r - n/(-18) is divided by 3?
2
Suppose 0 = 5*w - 3*r - 189, r - 107 = -3*w + 6*r. What is the remainder when w is divided by 14?
11
Let x = 140 - 128. Let h(j) = 6*j - 1. Calculate the remainder when h(6) is divided by x.
11
Suppose -4*f + f = -12. Suppose 0 = 2*d - 3*j + 1 - 3, -j - 2 = -d. Calculate the remainder when 22/(0 + f/2) is divided by d.
3
Let z(a) = a**3 + 2*a**2 + a + 1. Calculate the remainder when z(0) is divided by 1.
0
Let j = 3 + 8. Let z be (-49)/(0 + -1) - 1. Let m = z + -17. Calculate the remainder when m is divided by j.
9
Suppose 0*x = 3*x - 12. Suppose 3*l + 2115 = -x*q, 717 + 342 = -2*q - 3*l. Calculate the remainder when q/(-9) + (-2)/(-6) is divided by 20.
19
Suppose 0 = 4*w - 8 - 0. Suppose -2*g + 96 = w*g. Let o(l) = 2*l**2 + 10*l - 2. What is the remainder when o(-9) is divided by g?
22
Suppose -z + 3*n = -15, 5*z - 87 = 5*n + 8. Suppose 2*m + 39 = 2*v + 3*v, 4*m + 54 = 2*v. Let k = 23 + m. Calculate the remainder when z is divided by k.
10
Suppose 0 = -r - 5*c + 139, 4*r + 133 = 3*c + 666. What is the remainder when r is divided by 45?
44
Let b = -53 - -77. Calculate the remainder when b is divided by 13.
11
Let d(j) = -j - 4. Let s be d(0). Let l be 670/s*(-28)/(-35). Let z = -74 - l. Calculate the remainder when z is divided by 21.
18
Let h(l) = -l**2 + 5*l + 4. Let v be h(8). Suppose -3*k = -2*k + 10. Let m = k - v. Calculate the remainder when m is divided by 6.
4
Let x = -13 - -46. Suppose 5*z - x = 97. What is the remainder when z is divided by 14?
12
Suppose -2*z + 5*z = 111. Suppose 0 = 3*u + 8 + 1. Let n(t) = -t**2 - 6*t + 1. What is the remainder when z is divided by n(u)?
7
Suppose v + y = -3*v + 112, 2*y = 2*v - 66. Let h(u) = -u**2 + 8*u. Let f be -1*(1 + -7 + 1). What is the remainder when v is divided by h(f)?
14
What is the remainder when ((-4)/(-8))/((-4)/(-480)) is divided by 7?
4
Suppose -13 = -2*i + 7. What is the remainder when i is divided by 3?
1
What is the remainder when (2 - (-14)/(-4))*(-8 + 6) is divided by 1?
0
Let q be (4 + -1)*(-6)/9. Let j be -47*-2*q/(-4). Suppose -j = -2*n - 17. Calculate the remainder when n is divided by 6.
3
Let b = 14 - 4. Let m = -2 + 5. Calculate the remainder when m - -27 - (0 - -1) is divided by b.
9
Suppose -r = -0*r + 1. What is the remainder when (-2 + -31 + r)/(-1) is divided by 12?
10
Let d be (-2)/(-7) - 1758/(-21). Suppose -d = -6*s + 4*s. Calculate the remainder when s is divided by ((-10)/8)/(1/(-12)).
12
Suppose 36 = -2*g + 5*g. Suppose -2*o = -4*i + 268, -93 = -2*i - 3*o + 57. Suppose 4*p = 7*p - i. Calculate the remainder when p is divided by g.
11
Suppose -26 + 0 = -c. What is the remainder when 50 is divided by c?
24
Let r = -5 - 1. Let u = 14 + r. Suppose 5*b - 7 - 18 = 0. What is the remainder when u is divided by b?
3
Let w(z) = -9*z - 2. Let k(f) = -f**3 + 2. Let c be k(0). Let l be w(c). Calculate the remainder when (-374)/(-10) + 8/l is divided by 10.
7
Calculate the remainder when (32/40)/((-4)/(-90)*1) is divided by 7.
4
Let n be (-3)/(3*(-4)/216). Let k = n + -26. What is the remainder when k is divided by 15?
13
Suppose -2*g + 1 = -1. Let i be (-49)/(-14)*2*g. Let a = 13 - i. Calculate the remainder when a is divided by 4.
2
Suppose 3*z - 28 = -4*q, -4*z + 1 = -15. Suppose -3*v + 132 = -3*i, q*v - 3*i = 2*v + 93. Calculate the remainder when v is divided by 10.
9
Suppose f = -3*f + 16. Let g(r) = r**2 + 18*r + 10. What is the remainder when g(-18) is divided by f?
2
Let o(g) = 5*g**2 - 4. Let a = 150 + 24. Let n be 4/18 + a/(-54). Calculate the remainder when o(n) is divided by 14.
13
What is the remainder when 2/((-68)/70 + 1) is divided by (-3)/((-21)/(-35) + (-23)/30)?
16
Suppose 80 = 5*x - 5*b + 4*b, 25