t a = q + v. What is the remainder when a is divided by 6?
5
Suppose 45*p - 83138 = 35302. Calculate the remainder when p is divided by 19.
10
Suppose 4*z - 936 = -5*z. What is the remainder when z/2*(-10)/(-4) is divided by 49?
32
Let u = 4 - -20. Let s(w) = 11*w + 14. Let p be s(-5). Let x = -32 - p. What is the remainder when u is divided by x?
6
Suppose -38 = -2*z + 36*j - 39*j, 5*z + 5*j - 85 = 0. Calculate the remainder when -32*((-5)/(-2) - 3) is divided by z.
3
Let s(t) = 102*t + 575. Calculate the remainder when s(-3) is divided by 68.
65
Let m be ((-3)/(-6))/((-9)/45)*-64. Suppose 884 = 12*t - m. Calculate the remainder when t is divided by ((-4)/5)/(2/(-45)).
15
Suppose 146*t + 9553 - 19482 = 48179. Suppose c - 6 - 44 = 0. Calculate the remainder when t is divided by c.
48
Let n = 7445 + -7430. Calculate the remainder when 2277 is divided by n.
12
Suppose 17*m - 13*m - 16 = 0. Suppose -13*w + 11*w = m*u - 118, u - 4*w - 34 = 0. Let v = 116 - 32. Calculate the remainder when v is divided by u.
24
Suppose 4*o + 4*d - 16 = 0, -3*o + 12 = 11*d - 13*d. Suppose -o*g = -111 + 15. Suppose -3*n + 16 = -335. Calculate the remainder when n is divided by g.
21
Let z = 3 - -26. Let l(q) = 7*q - 4 - 21*q + 19*q + q**3 + 2*q**2. Calculate the remainder when l(3) is divided by z.
27
Suppose 10671 = 55*y + 1926. Calculate the remainder when 173 is divided by y.
14
Let f(g) = -g**2 + 9. Let q be f(3). Calculate the remainder when (-16 - -89) + q*(-1)/3 is divided by 25.
23
Let r(v) be the second derivative of -3*v**5/20 - 3*v**4/4 + 13*v**3/6 + 2*v**2 - 42*v. Calculate the remainder when r(-6) is divided by 23.
20
Suppose 5*x = 3*u - 0*u + 33, 5*x - u - 31 = 0. Let m(k) = -k**3 + 5*k**2 + 12*k + 5. Calculate the remainder when 122 is divided by m(x).
40
Let k = -3 - -34. Let p(h) = -9 - 8 - 13*h**2 - 21*h**2 - 22*h + 31*h**2. Calculate the remainder when k is divided by p(-5).
13
Let j be 9/((-36)/308464)*(-2)/4. Calculate the remainder when 10/12 + j/156 is divided by 66.
50
Let x be 45/(-12)*16/(-12). Let c be x + (-1)/(-4 - -3). Let v(u) = 2*u + 3. What is the remainder when v(c) is divided by 9?
6
Suppose -33 = -4*p + 7. Suppose 0 = -17*n + 16*n + 1. What is the remainder when n/(-6)*-2*54 is divided by p?
8
Let j = -9854 + 9931. What is the remainder when 180 is divided by j?
26
Let b be (1310/(-30))/((-4)/24). Suppose 5*f - b = -3*r, 2*f - 5 = f. Calculate the remainder when r is divided by 28.
23
Let o = -30335 + 30365. Calculate the remainder when 349 is divided by o.
19
Suppose 3*q + 3*o - 48 = -0*q, 3*q + 4*o = 50. Suppose 0 = y + 3*i + 13, -4*y - 101 = y + 3*i. Let m = 75 + y. What is the remainder when m is divided by q?
11
Suppose -5*z - 16 = -2*r, 5*z - 4*z - 16 = -2*r. Suppose -12 = -d + r. Calculate the remainder when 479 is divided by d.
19
Let m = 7617 + -5554. Calculate the remainder when m is divided by 685.
8
Let v(f) be the second derivative of 85*f**3/6 - 7*f**2/2 - 9*f. Let b be v(5). Suppose 2*d = 4*d - b. What is the remainder when d is divided by 35?
34
Let n(x) = 19*x**2 - x - 2. Let h = -12 + 11. Let r be n(h). Calculate the remainder when 50 is divided by (24 - 3)/(-3)*r/(-7).
14
Suppose -3*i + 0*q + 864 = 4*q, 2*i - 581 = -q. Let z = i + -276. What is the remainder when 77 is divided by z?
13
Let l = -3787 - -3856. Suppose -3*d + 49 - 12 = v, 4*v - 16 = -d. What is the remainder when l is divided by d?
9
Suppose 2*w - 5*h + 3*h = 48, 0 = -4*w - 5*h + 69. Let c = -199 - -260. What is the remainder when c is divided by w?
19
Let p = 3624 - 3609. Calculate the remainder when 34 is divided by p.
4
Suppose 12 = 4*h, -3*l + 1337 - 11 = 3*h. Let w = 446 - l. Calculate the remainder when 25 is divided by w.
4
Suppose 138*w = 141*w - 321. Suppose 5*u = 0, 29 + w = 2*y - u. Calculate the remainder when 270 is divided by y.
66
What is the remainder when 0 - (-173 - (-2 + 2)) is divided by 269010/6125 - 6/(-75)?
41
Let g(m) = m**2 + 9*m + 20. Let b be g(-4). Suppose b = 12*p - 27*p + 330. Let z(k) = k + 64. What is the remainder when z(0) is divided by p?
20
Suppose -y - 3*r - 50 = 0, -r - 56 = -2*y + 3*y. Let l = 97 + y. Suppose 0 = 4*i - 16, -2*u + 3*u + 3*i - 25 = 0. What is the remainder when l is divided by u?
12
Let v be 1/((-7)/(-28)) - -1043. Suppose -5*j = -3*g + v, 4*j + 129 = 2*g - 569. What is the remainder when g is divided by 59?
54
Suppose -2*f - 16*w + 516 = 0, w = 6*w - 45. What is the remainder when f is divided by 72?
42
Suppose -21 = -69*n - 21. Let c = -5 - -18. Suppose 1066 = c*p - n*p. What is the remainder when p is divided by 23?
13
Suppose 5*h - 277 = -4*u, 4*u = 5*h - 66 - 187. Let b = -258 + 262. Suppose 0 = -w - b*l + 10, 3*w - 5*l = 47. What is the remainder when h is divided by w?
11
Let c(k) = -339*k + 5816. Calculate the remainder when c(-45) is divided by 25.
21
Let p(v) = v**2 - 18*v + 126. Calculate the remainder when 1076 is divided by p(9).
41
Let u(a) = -16*a**3 + 382*a**2 + 51*a - 27. What is the remainder when 53 is divided by u(24)?
8
What is the remainder when 8/(-2) - ((-21 - -6) + -9655) is divided by 24?
18
Let f(j) = 3*j - 14. Let x be f(6). Suppose -5*v = -x*n + 306, -7*v + 4*v = -6. Calculate the remainder when n is divided by 21.
16
Let i = 2154 + -2017. What is the remainder when 1504 is divided by i?
134
Suppose 2*v = 3*f - 16, 0 = -4*v + 2*f - 4*f. Let d(o) = -o**3 + 2*o + 1. Calculate the remainder when (144/(-56))/((-1)/7) is divided by d(v).
3
Suppose -12 = -2*c + 2*i + 2*i, -5*c + 3*i = -9. Suppose h - 5*o = -2*o + 98, c = -o + 2. Calculate the remainder when h is divided by (-4 - -1)/((-2)/14).
20
What is the remainder when (-1 + 4 + -4)/(2/(-982)) is divided by 17?
15
Let u(j) = 23*j - 155. What is the remainder when 520 is divided by u(18)?
2
Let j = 1006 - 658. What is the remainder when j is divided by 26/10*7/(-7)*-5?
10
What is the remainder when 331 is divided by (-3*36/189)/((-7)/1911)?
19
Let z(i) = -741*i - 10358. What is the remainder when z(-16) is divided by 304?
282
Let n(l) = -l**2 - 73*l - 732. Calculate the remainder when n(-28) is divided by 169.
21
Let k be -1 + -3 + 2 + 44. Let y be (-39)/(-2) + (-17 - (-700)/40). Suppose 18*g - y*g = -k. What is the remainder when 103 is divided by g?
19
Suppose 44*v - 40*v - 5*x - 120 = 0, 5*x = -v + 30. What is the remainder when 358 is divided by v?
28
Let m(i) = -i**3 - 14*i**2 - 13*i - 6. Let y be m(-13). What is the remainder when y*(-12)/(2 + 33/(-30)) is divided by 17?
12
Let h(q) = 3*q + 26. Suppose -5*m - 173 - 92 = 5*y, -y - 2*m = 55. Calculate the remainder when h(0) is divided by (-771)/y + (-10)/85.
11
Suppose -3*w = u - 235, 3*w + 824 + 191 = 4*u. Suppose -c = c - u. Calculate the remainder when c is divided by (-16)/36 - 4316/(-234).
17
Suppose -5*a + 515 = 490. What is the remainder when a is divided by (-20)/110 - (-1 - 70/22)?
1
Let n(a) = -5*a**2 + 0*a**2 + 18*a**2 - 2*a + 23 - a**3 + 13. Let h be n(13). Suppose h*v - 517 = -v. Calculate the remainder when v is divided by 4.
3
Let r(y) = -3*y**2 - 6*y - 6. Let j be r(-4). Suppose 5*q - 2*s - 150 = 108, -s - 103 = -2*q. Calculate the remainder when (-7776)/j + (-1)/5 is divided by q.
51
Let i(h) = -5*h**3 - h**2 + 1. Suppose -3*a = 21, -6*v + 516 = a - 11. Calculate the remainder when v is divided by i(-1).
4
Let c(l) = 4*l**2 - 34*l + 154. Suppose 165 = 60*k - 55*k. What is the remainder when c(6) is divided by k?
28
Let p(o) = -13*o - 31. Let s(u) = -u**3 + 9*u**2 - 11*u - 5. Let z be s(7). Let q be p(z). Let x = q + 391. Calculate the remainder when x is divided by 14.
12
Let f = 3786 + -3770. Suppose 0*v - v + 3*k + 47 = 0, -4*v - 2*k = -188. What is the remainder when v is divided by f?
15
Let y = 20000 - 18490. What is the remainder when y is divided by 2?
0
Let q = -3122 - -3141. What is the remainder when 277 is divided by q?
11
Let h be (36/(-6))/(2/3). Calculate the remainder when 5 + (-484)/h + 2/9 is divided by 9.
5
Suppose 25*l = 64*l - 2457. Calculate the remainder when l is divided by 16.
15
Let p = -6 + -47. Let o = p - -78. Let l(x) = 6*x**2 + 1261*x - 5043. What is the remainder when l(4) is divided by o?
22
Suppose 0 = -43*a + 8*a + 18*a + 1309. What is the remainder when a is divided by 31?
15
Suppose -k - 36 = -45. Let i be 11