Let t = -1884 + 2026. What is the remainder when t is divided by 69?
4
Let r = 470 - 193. Suppose 231*s - 287*s = -560. Calculate the remainder when r is divided by s.
7
Let c = -1447 - -1827. What is the remainder when c is divided by 127?
126
Suppose 0*o = 9*o - 21582. Calculate the remainder when 6/189*-7 + o/18 is divided by 27.
25
Let d = -8243 - -8644. What is the remainder when d is divided by 19?
2
Let z be (-46)/69 + (-2958)/(-9). Suppose -1127 = -15*b + z. What is the remainder when 182 is divided by b?
85
Let f(l) = -l**2 - 9*l + 56. Let a be f(-13). Suppose -4*w + 300 = -4*m, w - a*m = -2*m + 80. Calculate the remainder when w is divided by 52.
18
Suppose -12*n = -7*n - 260. Suppose -a = s + 4*s, 2*a - 3*s - n = 0. Calculate the remainder when a is divided by -2 + 0 - -6 - (-35 + 28).
9
Suppose -56 = -2*f + 96*n - 92*n, -4*f = -2*n - 94. Calculate the remainder when 852 is divided by f.
16
Suppose -67*n + 166*n - 1118 = 466. Let t = -5 + 67. What is the remainder when t is divided by n?
14
Suppose 3*t = 4*t - 4. Suppose -27 = j + z + 52, -415 = 5*j - 5*z. Let s = j - -87. Calculate the remainder when s is divided by t.
2
Suppose -4*z + 1237 = 5*p + 351, 4*z = -4*p + 712. Let k = p - 304. Let x = -87 - k. Calculate the remainder when 168 is divided by x.
39
Let n(i) be the second derivative of -7*i**3/3 + 22*i**2 - 14*i. Calculate the remainder when 168 is divided by n(0).
36
Let y = 90 - -28. Let a(b) = b**3 + 11*b**2 + 9*b + 20. Let p be a(-9). Let n = p + -71. Calculate the remainder when y is divided by n.
28
Let i(u) = -43*u + 2. Suppose -j = 4, -3*f - 4637 = -j - 4788. Calculate the remainder when i(-2) is divided by f.
39
Let h be 15 + 1/1 + 4. Suppose h = 12*m - 112. What is the remainder when 63 is divided by m?
8
Suppose -18*q - 132*q + 79650 = 0. Calculate the remainder when q is divided by 42.
27
Suppose 293*a = 6*a - 69*a + 50908. Let i(r) = r**3 + 7*r**2 - 3*r + 4. Calculate the remainder when a is divided by i(-7).
18
Suppose -3*w + 0 + 3 = 0, -5*w = -4*c - 993. Let j = c - -254. Calculate the remainder when 75 is divided by j.
5
Let c(a) = -a**3 + 2*a**2 + 6*a + 5. Let p(z) = z**3 + 5*z**2 + 5*z + 2. Let w be p(-3). Let b = 3 - w. What is the remainder when 15 is divided by c(b)?
6
Suppose -3370*d = -3345*d - 100. Calculate the remainder when 3705 is divided by d.
1
Suppose -2702 = -2*y - 5*d, 3*d = 5*y - y - 5456. Suppose -10*p - y = -4781. What is the remainder when p is divided by 49?
48
Suppose 112*z + 68*z - 2856 = -24*z. Calculate the remainder when 3756 is divided by z.
4
Suppose -6759 = -5*r - 6414. Let h(g) = -4 + 9*g**2 + 3*g + g - g**2 + 0*g. What is the remainder when r is divided by h(2)?
33
Let j(n) = -105*n**2 + 5*n + 15. Let q be j(-3). What is the remainder when (5 + -1 + 0)/((-54)/q) is divided by 19?
13
What is the remainder when 1575 is divided by (45/24)/(4/144) + (-25)/10?
15
Calculate the remainder when 1974 is divided by (65 + -88)*3/(-3).
19
Let f = -5192 - -10611. Calculate the remainder when f is divided by 39.
37
Let a be ((-8)/(-10))/(-3*(-3)/90). Let p(d) = d**2 + d - 66. Calculate the remainder when 50 is divided by p(a).
2
Let q = -60 + 28. Let o = q - -82. Suppose 0 = -3*w - 4*c + o, 0 = 3*w + 3*c - 6*c - 15. What is the remainder when 137 is divided by w?
7
What is the remainder when (99/(-27))/(-11)*(-696)/(-1 - 3) is divided by 20?
18
Let h = 228 - 198. Suppose 0 = -3*v - 4*r + 21, 5*v - 24 = -2*r - r. Let c = v - -6. What is the remainder when h is divided by c?
3
Suppose 2*a = 3*c + 98, -3*a - 2*c + 147 = 3*c. What is the remainder when a is divided by ((-36)/(-24))/((4 - 6)/((-156)/9))?
10
Let r(x) = 147*x**2 - 3*x - 4. Let j be r(2). Let u = j - 553. What is the remainder when 40 is divided by u?
15
Let p(u) = -2*u**2 + 50*u - 61. Suppose 0 = 3*b - 4*r - 278, 243 = 3*b + 16*r - 13*r. Calculate the remainder when b is divided by p(22).
15
Suppose -10*v = 61*v - 23*v - 16848. What is the remainder when 1471 is divided by v?
67
Suppose 54*a = 90*a - 58104. What is the remainder when a is divided by 19?
18
Let z(s) = s**3 - 147*s**2 + 430*s + 597. What is the remainder when z(144) is divided by 79?
72
Let s(u) = -u**2 + 77*u - 621. Calculate the remainder when 831 is divided by s(10).
47
Let v = -467 + 467. Suppose 3*o - 11 - 16 = -s, v = 2*o + 4*s - 28. What is the remainder when 130 is divided by o?
2
Calculate the remainder when 504868/365 + 2/(-10) is divided by 8.
7
Calculate the remainder when (23 + 8)*(6 - -27 - 4) is divided by 17.
15
Let v(f) = 104*f - 3. Let t be v(1). Let o = t + -99. Calculate the remainder when o is divided by 0 + -1 - (-8 - -6).
0
Let y(l) = 8*l + 12. Suppose 0 = 10*s - 205 + 65. Calculate the remainder when y(10) is divided by s.
8
Suppose 5*a + 5 + 20 = 0. Let y(v) = -12*v - 49. Let u be y(a). Calculate the remainder when 177 is divided by (u/(33/20))/(2/3).
7
Suppose 17*r + 7*r + 6720 = 0. Let h = -242 - r. Calculate the remainder when 339 is divided by h.
35
Suppose 1732 + 156 = -32*d. Let x = 81 + d. Calculate the remainder when 57 is divided by x.
13
Suppose 5*u - 2*u = 30. Suppose -175 = 5*m - u*m. Calculate the remainder when 243 is divided by m.
33
Let t = -20834 + 20897. Calculate the remainder when 1824 is divided by t.
60
Let a be -3 + 0/((-4)/2). Let d be (1 + 2)*(-10)/a. Suppose -3*s = -d*s + 196. Calculate the remainder when 79 is divided by s.
23
Let c(y) = 2*y**2 + 349*y + 1733. Calculate the remainder when 65 is divided by c(-5).
27
Let a be (-4)/12 - 55/15. Let t be (-3)/a - 4365/12. Let x = -214 - t. Calculate the remainder when x is divided by 15.
14
Let c(x) = x**2 - 114*x - 1359. What is the remainder when 9951 is divided by c(-11)?
15
Suppose 0 = -8*i + 3721 + 7231. What is the remainder when 1379 is divided by i?
10
Suppose -2*i + 8 = 0, -3*j - 5*i - 985 - 264 = 0. Let x = -393 - j. What is the remainder when 67 is divided by x?
7
Let i = -39 + 42. Let o be 0 - (-1 + (-4 - (1 - i))). Suppose 2 = -c, o*l - 4*c - 101 = -0*l. What is the remainder when l is divided by 16?
15
Let v = 14 - 9. Suppose -20 = -5*k, -v*k + 12 = -a - a. Let u = 1012 + -957. Calculate the remainder when u is divided by a.
3
Let i = -687 - -972. Calculate the remainder when (17 - 0)/(15/i) is divided by 13.
11
Suppose -147*l - 45 = -150*l. Let t be 0 + 14*(l/6 + 1). Suppose 0*x - 5*x - 4*u = -131, t = 2*x + 5*u. Calculate the remainder when 95 is divided by x.
14
Suppose -182*g - 110*g + 174468 = -78112. What is the remainder when 885 is divided by g?
20
Suppose 3*u - 651 = -5*w, -2*w = -318*u + 321*u - 255. What is the remainder when 348 is divided by w?
84
Calculate the remainder when 176 is divided by (8520/(-88) + 2/(-11))*-1.
79
Suppose 102*i - 167 - 345 = -26*i. What is the remainder when 17 is divided by i?
1
Let u(j) = j + 5. Let q be u(0). Suppose -20 = x - q*x. Calculate the remainder when 200/11 + -6 + 448/77 is divided by x.
3
Let d be (-6)/8 - 688701/52. Calculate the remainder when d/(-20) + (84/(-16))/(-7) is divided by 35.
33
Suppose -94*c - 9866 = -120*c + 10622. What is the remainder when c is divided by 129?
14
Let t be 1/1 + 102/(-1). Let d = -63 - t. Calculate the remainder when 2817/15 - (((-16)/(-4))/(-20))/1 is divided by d.
36
Let i(m) = 77*m + 935. Calculate the remainder when 452 is divided by i(-11).
12
Let y = 35 - 22. Calculate the remainder when -18*(1 + 51/(-18)) is divided by y.
7
Suppose 0 = -3*d + 20 + 1. Let m(f) be the third derivative of f**4/8 + f**3/2 - f**2. What is the remainder when m(3) is divided by d?
5
Let y(k) = 14*k - 5. Let s be y(4). Suppose -2*c - c = -s. Calculate the remainder when 50 is divided by c.
16
Let d(a) = 30*a + 218. Calculate the remainder when d(8) is divided by 23.
21
What is the remainder when 39 is divided by 9/18 - (-156)/8?
19
Suppose -5*h - 94 = -4*c, -19*c + h = -17*c - 50. Let r = 753 + -658. What is the remainder when r is divided by c?
17
Calculate the remainder when (1 + -2)*(12 - 19/(95/2890)) is divided by 19.
15
Suppose -2*w - q = q - 20, w = 4*q + 20. Suppose 0 = 8*a - w*a + 148. Let h = 78 - a. What is the remainder when h is divided by 4?
1
Suppose -271 + 84 = -17*v. Suppose 41*a - v*a - 6180 = 0. Calculate the remainder when a is divided by 53.
47
Let s = -4254 - -432