t + r = -r - 166. Calculate the remainder when t is divided by 12.
7
Suppose 4*n + 2 = -2*d, -2*d - 11 = 4*n - 3*d. Let r be (-1)/(-2) + 31/n. Let j = r + 23. Calculate the remainder when j is divided by 5.
3
Suppose 5*i - 2*i - 12 = 0. Suppose i = -4*d + 28. Calculate the remainder when d is divided by 6/(-4)*8/(-3).
2
Suppose 164 = 4*h + 3*k + k, 0 = -3*h - k + 117. What is the remainder when 182 is divided by h?
30
What is the remainder when 63 is divided by (-1)/(3/(-24 + 0))?
7
Suppose -2*u = 3*j - 7*j - 96, j - 109 = -3*u. Let n(s) = -24*s - 3. Calculate the remainder when n(-8) is divided by u.
37
Let o be (2 - 3)*(2 + -6). Suppose -10 = -3*z - o. Let q = -2 + 3. Calculate the remainder when z is divided by q.
0
Calculate the remainder when (-13 + -5)*(2 - 62/6) is divided by 39.
33
Let h(m) = -m + 45. Let t = -56 + 63. Calculate the remainder when 188 is divided by h(t).
36
What is the remainder when 42/(-18)*(-5 - -9)*-6 is divided by (0 - 1)*45/(-3)?
11
Let g = 993 - 872. What is the remainder when 356 is divided by g?
114
Let n be (-5 + 0 - -4) + 27 + -1. Suppose -3*z = -6*z + 15. Let w = n - z. What is the remainder when 39 is divided by w?
19
Suppose -a + 1 - 4 = 0. Calculate the remainder when (-318)/(-8) + a/4 is divided by 71/5 - 1/5.
11
Suppose -3*j + 20 + 43 = 0. Let p = 2285 - 2204. Calculate the remainder when p is divided by j.
18
Let d be (6/3)/(1*2). Let a(n) = 5*n + 1. Let m(b) = 24*b + 6. Let y(r) = 11*a(r) - 2*m(r). What is the remainder when y(d) is divided by 2?
0
Suppose 0 = -4*u + 4*m + 12, -5*m - 7 = 2*u + 1. Let r = 56 + u. What is the remainder when r is divided by 10?
7
Let p be (-151)/(-9) + 34/153. Suppose p*f = 15*f + 100. What is the remainder when f is divided by 17?
16
Suppose 2*k - 135 = -5*b, -k + 3*k - 10 = 0. Calculate the remainder when 56 is divided by b.
6
Let j = -18 + 23. Suppose -44 = -6*n + 2*n - 4*i, j*i - 49 = -4*n. Let z = -1 - -5. What is the remainder when n is divided by z?
2
Let r(q) be the first derivative of -2/3*q**3 - 2*q + 9/4*q**4 + 3 + 3/2*q**2. What is the remainder when r(2) is divided by 18?
14
Suppose -9*m + 3680 = -13*m. Let l = -16 - -26. Calculate the remainder when m/(-35) + (-2)/7 is divided by l.
6
Let q(r) = 19*r**2 + 3*r + 3. Let h be q(-2). Suppose -h = -3*f - 25. Calculate the remainder when 63 is divided by f.
15
Suppose -3*w - 78 + 387 = 0. What is the remainder when w is divided by 15?
13
Let l = 5 + -3. Calculate the remainder when -1 - (-25 + ((-4)/l)/(-2)) is divided by 13.
10
Let h be (-413)/(-70)*4 - 4/(-10). Suppose -2*r + 170 = -h. Calculate the remainder when r is divided by 25.
22
Let b = -3 + 37. Let j = 153 - 141. What is the remainder when b is divided by j?
10
Suppose -17*h = -2*h - 1425. What is the remainder when h is divided by 33?
29
Let u(h) = h**2 - 3*h + 3. Let r be u(0). Suppose z - 4*z = 2*w - 27, -4*z = r*w - 39. What is the remainder when 43 is divided by w?
7
Let i(a) = 5*a**2 - 55*a + 195. Calculate the remainder when i(21) is divided by 52.
49
Suppose -4*g + 5*i - 88 = 0, 5*g - 4*i + 139 = -5*i. Calculate the remainder when (g/(-5))/((-27)/(-90)) + 1 is divided by 4.
3
Let k be 1/(3/(-18) - 0). Let q(u) = -3*u - 2*u + 7*u - 8 + 2*u + u**2. Calculate the remainder when 11 is divided by q(k).
3
Let v(m) = -57*m + 99. Calculate the remainder when v(-4) is divided by 47.
45
Let r = -917 - -938. Suppose 4*o - 122 = 118. What is the remainder when o is divided by r?
18
Suppose 0*i = 2*i - 10. Let f = 106 - 85. Let w(r) = -3*r + 81. Calculate the remainder when w(f) is divided by i.
3
Let c = 172 + 583. Calculate the remainder when c is divided by 27.
26
Suppose -29 = -3*p + 4*t - 1, 3*t = 15. Let u(d) = -8*d**3 + 3*d - 1. Let y be u(-3). What is the remainder when 4/p - y/(-8) is divided by 7?
5
Let m = 568 + 28. Suppose 9*a - 5*a = m. What is the remainder when a is divided by 50?
49
Let o = -1423 + 1495. Calculate the remainder when 355 is divided by o.
67
Let m = 712 - 673. What is the remainder when 414 is divided by m?
24
Suppose 4*j + 0*x - 45 = -3*x, -3*j - 5*x + 20 = 0. Suppose 21*l + 12*l = 2*l + 124. Calculate the remainder when j is divided by l.
3
What is the remainder when 2168*((-2)/(-28))/(22/77) is divided by 14?
10
Suppose -m = 1, -5*z + m = -8*z + 77. Let t(i) = i**3 - 21*i**2 + 22*i - 24. Calculate the remainder when z is divided by t(20).
10
Let s be 1 - (12/(-2))/3. Suppose -10 = -6*j + 14. Suppose s*f - j = -f. Calculate the remainder when 3 is divided by f.
0
Let u(l) be the first derivative of l**4/4 - 4*l**3/3 + l**2/2 + 6*l - 32. What is the remainder when 117 is divided by u(4)?
7
Calculate the remainder when 671 is divided by 11700/105 - (25/(-7) + 3).
111
Let y = 209 + -208. What is the remainder when 27 is divided by y?
0
Let u be (-30)/(-20) - (-2 + (-5)/(-2)). Suppose -2*r + 10 = -0. Let g = r - u. What is the remainder when 9 is divided by g?
1
Let b(p) = p**3 - 7*p**2 - 5*p - 10. Suppose 4*g + 4*m - 24 = 0, 0 = -12*m + 9*m + 15. Calculate the remainder when 78/2 - (0 + g) is divided by b(8).
10
Let b = -24 - -26. Suppose -120 = -3*w + 3*g, -g = b*w + 3*g - 62. Suppose -t - 2*t + 30 = 0. Calculate the remainder when w is divided by t.
7
Let a be (-281)/(-1) - (0/3 - 3). Suppose 165*n - a = 161*n. Suppose -4*m + 21 = w - 80, 95 = 5*m - 5*w. What is the remainder when n is divided by m?
23
Let v = 52 + -37. Let z = 106 + -51. What is the remainder when z is divided by v?
10
Suppose -11*k - 9 = -14*k, 3*k = 5*m - 36. What is the remainder when 10 is divided by m?
1
Suppose -5*b + 5*k + 100 = 0, 2*b - k + 0*k - 40 = 0. Calculate the remainder when 73 is divided by b.
13
Let m = 481 + 193. Calculate the remainder when m is divided by 45.
44
What is the remainder when (-3 + 8 - 2)/(1/2) is divided by 4?
2
Let d be 99/15 - (-6)/15. Let t be (5 + (-12)/3)*d. Suppose 0 = 2*c - 13 - t. What is the remainder when c is divided by 3?
1
Let k = -517 - -644. Calculate the remainder when k is divided by 14.
1
Suppose 0*q - 5 = -q. Suppose 265 = 2*a + q*r, 3*r = -2*a - 2*a + 495. Suppose 4*y + y = a. Calculate the remainder when y is divided by 13.
11
Suppose -2*d - 97 = -6*d + 3*z, 4*z + 92 = 4*d. Calculate the remainder when 69 is divided by 40/(-120) - (d/(-3) + 0).
6
Let w(u) = -3*u - 12. Let p be w(-6). Suppose -5*g + 16 - p = 0. Suppose g*x + 0*x - 128 = 0. What is the remainder when x is divided by 22?
20
Let n(d) = -d**3 + d**2 + 2*d + 1. Calculate the remainder when n(-2) is divided by 81/12 + (-2 - 27/(-12)).
2
What is the remainder when 3*(-1846)/(-36) - (-1)/6 is divided by 12?
10
Let x be (312/(-18))/((-1)/24). Suppose -x = 4*c + 224. Let z = c + 234. Calculate the remainder when z is divided by 19.
17
Suppose -l + 5*g - 4 = 1, -2 = -2*g. Suppose l*f + 31 = f. Let w = 245 - 228. Calculate the remainder when f is divided by w.
14
Let w(p) = -p**2 + 9*p + 22. Let z(a) = -a**2 + 9*a + 23. Let s(g) = 5*w(g) - 6*z(g). What is the remainder when 31 is divided by s(12)?
7
Let p = -1307 - -1317. Let h(i) = -8*i - 2. Calculate the remainder when h(-4) is divided by p.
0
Let f = 139 - 131. Calculate the remainder when 30 is divided by f.
6
Suppose -o - r + 2*r + 28 = 0, -5*r = -o + 36. Calculate the remainder when 100 is divided by o.
22
Let f = -7 - -11. Suppose g - 47 = -t + 3*t, 4*g = -f*t + 248. Calculate the remainder when g is divided by 24*12/(-108)*(-90)/8.
27
Suppose -5*i + 60 = 30. Suppose -x - 4*j = 18 - 57, 2*x = -j + 71. What is the remainder when x is divided by i?
5
Suppose -3*p = 4*j + 2, -2*j + 1 = 5*p - 5. Suppose 9 = p*b - 37. Calculate the remainder when 66 is divided by b.
20
Let p = -801 - -809. Calculate the remainder when (-181)/(-4) - 3/12 is divided by p.
5
Let n(r) = r**3 + 12*r**2 - 26*r + 2. Let j be n(-14). What is the remainder when 208 is divided by (-4)/j - (-388)/13?
28
Let g = 46 + -37. Suppose -248 - 52 = -5*j. Calculate the remainder when j is divided by g.
6
Calculate the remainder when (7/(-35))/((-3)/(-65))*-81 is divided by 94.
69
Let d = 6 + 8. Suppose 16 = 3*i + 1. Suppose i*v = 5*l - 30, 3*l - 5*v - 8 = d. What is the remainder when 6 is divided by l?
2
Suppose 0 = -5*g - 5, -4*m + 0*m = -4*g - 160. Let u(d) = d**3 - d**2 - 13*d + 14. Calculate the remainder when m is divided