2) is divided by 12?
11
Suppose 60*r - 44*r = 1968. What is the remainder when r is divided by 6?
3
What is the remainder when 186*2/15*5 is divided by 2 + 0 - (-20 + 1)?
19
Suppose 13*q + 65 = 14*q. Calculate the remainder when q is divided by (-108)/(-5) - (-2)/5.
21
Let d be 14/(-77) - 57/(-11). Suppose 5*h + 5 = -5*v, 17 + 5 = d*h - 4*v. Suppose 4*c + 10 = -h, 4*c + 73 = r. Calculate the remainder when r is divided by 16.
13
Let s be (-4 + 0)/(3 + -5). Suppose -3*m + s*m = -4. Suppose 4*z = 2*r - 11 - 13, -2*z + 18 = m*r. What is the remainder when r is divided by 2?
0
Suppose -5*q + 5*l = 0, 3*q + 2*l = 2*q + 12. Suppose i - 3*r = 22, -q*i - r + 43 = 2*r. Calculate the remainder when i is divided by 3.
1
Suppose 0*k + 2 = 2*k. Let p = k - -6. Let m(r) = -r**3 + 7*r**2 + r + 4. Calculate the remainder when 32 is divided by m(p).
10
Let g(q) = 11*q. Calculate the remainder when g(6) is divided by -23*(-10 - -5)/5.
20
Calculate the remainder when 270 is divided by (-2)/(-5) + 14/((-280)/(-2732)).
133
Suppose 5*y - 2*h = 1762 - 589, 475 = 2*y + 5*h. Suppose 0 = -b - 4*b + y. Calculate the remainder when b is divided by 17.
13
Suppose -15 = -5*u - 5*v, v + 1 = 2*u - 5. Suppose u*j + 0*j = 102. Let i = 82 - j. What is the remainder when i is divided by 17?
14
Let k(l) = -l**2 + 40. Let u(b) = -2*b**3 + 6*b**3 + 4*b**3 - 3 + 3*b**2 - 7*b**3 - b. Let f be u(-3). Calculate the remainder when k(f) is divided by 14.
12
Let i(t) = 5*t - 3*t - 4 - 8*t + 4*t. What is the remainder when i(-10) is divided by 9?
7
Let n(u) = u**3 + 7*u**2 - 2. Let v be n(-5). Suppose -v = -18*h + 14*h. Calculate the remainder when h is divided by 7.
5
Suppose 3*g + 6 = 0, -3*g = 4*p - g + 100. Let c be 1/((-2)/p*3). Suppose 4*t - 16 = 0, 5*t = -2*b + 22 + c. What is the remainder when 3 is divided by b?
0
Let o = -7 + 11. Calculate the remainder when (-8)/(-4)*122/o is divided by 21.
19
Let n = 681 - 319. Calculate the remainder when n is divided by 26.
24
Let w(r) = r**3 + r**2 - r + 2. Suppose 11 = 2*k + 3*v + 2*v, -4*v - 4 = 0. Calculate the remainder when (-6)/k*(14 - 22) is divided by w(0).
0
Let h be (42/(-8) - -2)/(3/12). Let k be -1 - (-4 + (-2 - 0)). Let l = k - h. What is the remainder when 33 is divided by l?
15
Let x = -611 + 728. Calculate the remainder when 1518 is divided by x.
114
Suppose 15 = -5*m, i + 2*i + 5*m = 39. Suppose -b + 5*b + 2*g - 72 = 0, -b - 2*g = -i. What is the remainder when 87 is divided by b?
15
Suppose n - 4*p + 1 = 0, -18 = 3*n - 3*p + 6*p. Let r = -1 + n. Calculate the remainder when 40 is divided by (-63)/(-6)*(-8)/r.
12
Let a(f) = -f**2 - 20*f - 59. Calculate the remainder when 173 is divided by a(-12).
25
Suppose 0 = -0*y + 4*y - 260. Let h = 123 - y. Calculate the remainder when h is divided by 16.
10
Suppose 0 = 23*d - 338 - 1019. Calculate the remainder when d is divided by 11.
4
Let x(q) = q**3 - 7*q**2 + q - 1. Suppose -4*j = -6*j + 6. Suppose 25 = j*p - 2*n, -9 = -2*p + n + 7. Calculate the remainder when x(p) is divided by 4.
2
Calculate the remainder when 143 is divided by (27*2)/(-42 + 43).
35
Suppose 0 = 2*s + s - 2*u + 19, -u = -5. Let r(n) = -n**2 - 7*n - 10. What is the remainder when 7 is divided by r(s)?
1
Suppose 0 = -4*t - 3*r + 21, 14 = 5*t + 3*r - 16. What is the remainder when 24 is divided by t?
6
Let n(f) = f**3 + 11*f**2 - 24*f - 99. What is the remainder when 130 is divided by n(-12)?
40
Let c = -28 - -94. Suppose -2*r - 4*z = -0*z - 32, 57 = 3*r - 3*z. Calculate the remainder when c is divided by r.
12
Suppose 2*y + 8 = r + 4*y, 20 = 4*r + 4*y. Suppose 27 + 11 = r*p. Calculate the remainder when p is divided by 9/1 - (-1 + 5).
4
Let s(y) = 4*y - 7. Suppose -15*j = -j + 910. Let h = 113 + j. Calculate the remainder when h is divided by s(6).
14
Let x(t) = t + 4. Let n be x(6). Suppose 5*d - n = 0, d = 5*g - 23 - 25. Let v = 19 - -18. What is the remainder when v is divided by g?
7
Let w(b) = b**3 + 9*b**2 + 10*b - 1. Calculate the remainder when 171 is divided by w(-5).
24
Let m(j) = 18*j - 34. Calculate the remainder when 279 is divided by m(5).
55
Let y be (5/(-5))/(((-14)/4)/7). Let z(s) = s**2 + 5*s - 2. What is the remainder when 47 is divided by z(y)?
11
Suppose -5*v + 0*o + 80 = 5*o, 0 = -5*v + 4*o + 53. Suppose -12 = -11*w + 7*w, -5*q = 5*w - 130. What is the remainder when q is divided by v?
10
Suppose 2*u - 2*k - 56 = 0, 2*u + k - 31 - 16 = 0. Let c(h) = h**3 + 9*h + 2 - 15*h**2 + 4 + 6*h**2. What is the remainder when u is divided by c(8)?
11
Let m be 13/(-4*1/(-8)). Let x = m - 23. Suppose -14 = -4*z + 3*p, -x*z + 21 = 6*p - 3*p. Calculate the remainder when 16 is divided by z.
1
Suppose -278 = -4*q - 2*w, -3*q + 5*w + 214 = w. Let u = q - 12. Calculate the remainder when u is divided by 12.
10
Suppose -3*c = v - 720, -3*c = -2*v - 0*v - 720. Calculate the remainder when c is divided by 49.
44
Suppose 5*i - 20 = 3*l, 3*l = -27*i + 23*i + 43. What is the remainder when 20 is divided by i?
6
Let p = 72 + -38. Suppose 0 = -2*c + p + 6. Calculate the remainder when c is divided by 11.
9
Let q be 0/(4/4) + -10. Let c = -16 - q. Calculate the remainder when 10 + (c/(-3))/(-1) is divided by 6.
2
Suppose 5*d = 25 + 10. Let x = d + 12. What is the remainder when 67 is divided by x?
10
Suppose a - 13 = -8, -a = v - 77. Calculate the remainder when 501 is divided by v.
69
Suppose -486 = -2168*y + 2162*y. What is the remainder when y is divided by ((-1)/3)/(1/(-21))?
4
Let z(p) = 2*p**3 + 10*p**2 + 8*p - 2. Calculate the remainder when 20 is divided by z(-3).
0
Let z = 7 + -7. Suppose z = -0*o + 3*o - 117. What is the remainder when 116 is divided by o?
38
Suppose 9*f - 156 = 60. What is the remainder when 71 is divided by f?
23
Suppose -3*d + 5*y = -7*d + 210, 5*y - 260 = -5*d. Calculate the remainder when d is divided by 16.
2
Let k(m) = -m**3 + 13*m**2 + m - 8. Let v be k(13). Let i(x) = -x + 15. What is the remainder when i(0) is divided by v - (5 + -2 + -2)?
3
What is the remainder when 1 + 1 + 29 - (-19 + 21) is divided by 15?
14
Suppose 5*q = 5, h - 5*q = -3*q + 103. What is the remainder when 524 is divided by h?
104
Suppose -3*v + 12 = 5*r - 28, 0 = -3*v + 3*r. Suppose 2*a + 15 = v*z, -3*z + 4*z + 2*a = -9. What is the remainder when 68 is divided by (12/(-30))/(z/(-35))?
12
Let k(t) = -2*t. Let m be k(-1). Suppose -n + 9 = m. Suppose -63 = -4*p + 3*r, 5*r = 5*p - 2*p - 39. What is the remainder when p is divided by n?
4
What is the remainder when 58 is divided by 2465/68 + -13 + (-2)/8?
12
Suppose -4 = -d + 1. Suppose -3*m = 3*v + 2*v - 63, 5*m = d. Let x = -1 + v. What is the remainder when 30 is divided by x?
8
Let k(m) = -2*m**2 + 6*m. Let s be k(2). Suppose s*y - 35 = 3*y. What is the remainder when y is divided by 19?
16
Let k(o) = -2*o - 6. Let q be k(-4). Suppose -q*w + a + 2*a + 52 = 0, -a = 2*w - 60. Let g = w - 16. Calculate the remainder when 22 is divided by g.
9
Let a = -47 - -50. Suppose -2*n - 4 = -m, 4*m - a*m = -3*n + 4. Calculate the remainder when 19 is divided by m.
3
Let b = 105 + -78. What is the remainder when b is divided by 6?
3
Let c(h) = 2*h**3 - 20*h**2 + h - 5. What is the remainder when 13 is divided by c(10)?
3
Let r(h) be the first derivative of h**3/3 + h**2 - 9*h + 1. Let u be r(-5). Let n = u - -14. Calculate the remainder when 77 is divided by n.
17
Let j = -10 + 150. Suppose j = 7*z - 42. Calculate the remainder when 101 is divided by z.
23
Suppose 5*w = -21 + 36. Suppose w*u - 62 = u. What is the remainder when u is divided by (-5 - -13 - -3*1)*1?
9
Let i = -2071 + 2124. What is the remainder when i is divided by 51?
2
Let j(y) = y**2 + 8*y + 7. Let m be j(-7). Suppose -10 = -2*z, 0 = -m*r + 3*r + 2*z - 40. Calculate the remainder when (1 + -2)/((-9)/342) is divided by r.
8
Let a(y) = 5*y + 4. Let h(z) be the second derivative of z**4/6 - z**2/2 - 14*z. Let j be h(1). What is the remainder when a(j) is divided by 4?
1
Let r be 13/((-39)/2) + 298/6. Suppose -j - a = 4*a - r, -52 = -j - 2*a. Calculate the remainder when j is divided by 14.
12
Suppose 2*s + 0*w + 4*w - 32 = 0, s + w - 12 = 0. Calculate the remainder when 175 is divided by s.
7
Let q be (-153)/2*4/(-3). Let l = q + -48. Suppose 3*i - 3*f - 48 = 6, -i - 4*f = 2. What is the remainder when l is