is divided by 8?
5
Suppose -5*t + 3*l + 298 = 0, 3*t + 12 = 2*l + 191. Suppose -4*k + 4*a + t + 65 = 0, -5*k - 2*a + 141 = 0. What is the remainder when 347 is divided by k?
28
Let x(d) = 8 - 42 - 15*d + 11 - 27. Suppose 2*j + 0*m + 1 = -3*m, -3*j + 5*m = -46. Calculate the remainder when x(-5) is divided by j.
4
Let j(i) = -14*i + 1. Let k = -181 + 180. What is the remainder when 3/(2/116*2) is divided by j(k)?
12
Suppose -3*r + 16*a = 19*a - 30, -18 = -3*r + 3*a. Suppose r*d = -433 + 1705. What is the remainder when d is divided by 52?
3
What is the remainder when (-2)/(-9 - -3)*8/((-48)/(-15534)) is divided by 180?
143
Let m(a) = -a**3 + 33*a**2 - 138*a + 38. Let h = 45 - 18. Calculate the remainder when m(28) is divided by h.
13
Let z = -99 + 101. Suppose -6*v + 32 = z. Calculate the remainder when v is divided by 2.
1
Let x(q) = 550*q**2 - 3836*q - 56. Suppose -3*k + 16 = -1745. What is the remainder when k is divided by x(7)?
41
Suppose 205 = b + 2*p, 8*p - 207 = -b + 7*p. Suppose -t + 12*u + 43 = 11*u, 0 = 5*t - 2*u - b. Calculate the remainder when 87 is divided by t.
5
Suppose -4*u = -9*u + 4*a + 940, -u = 2*a - 188. Suppose 34 + u = 2*y. Calculate the remainder when y is divided by 6.
3
Suppose 9*m = -0*m + 45. Suppose y - w - 11 = 4, 35 = m*y + 5*w. What is the remainder when 29 is divided by y?
7
Suppose -8*a = -465 - 167. Suppose -221 = -10*g + a. What is the remainder when 477 is divided by g?
27
Let g(z) = 2*z**3 - z**2 + 2*z + 11. Let n be 2/4*4 + 126 + -3. Suppose 2*x - 7*x = 5*w - n, -12 = -3*x. What is the remainder when w is divided by g(0)?
10
Let c = 5121 + -4871. Calculate the remainder when c is divided by 51.
46
Let y(h) = h**3 - 5*h**2 - 4*h + 3. Let z(n) = -64*n + 264. Calculate the remainder when z(3) is divided by y(6).
12
Let a(r) = -221*r - 1311. Let s = -13 + 133. Suppose o + s = 4*o. Calculate the remainder when o is divided by a(-6).
10
Suppose 382*k - 258410 = 1072478. What is the remainder when k is divided by 69?
34
What is the remainder when ((-72711)/(-126)*-7)/((-6)/4) is divided by 103?
15
Let i(c) = -c**3 - 12*c**2 + 8*c - 30. Let z be i(-13). Suppose 7*g - z = 2*g. What is the remainder when 37 is divided by g?
2
Suppose 118*n - 12513 - 15119 = 74*n. What is the remainder when n is divided by 205?
13
Suppose 5*h = -c + 2*h + 1249, -4*h = -5*c + 6112. What is the remainder when 2472 is divided by c?
16
Let m = -1 - 0. Let i(d) = -2*d + 1. Suppose -3*j + 106 = 5*v, 2*j = -22*v + 21*v + 31. What is the remainder when v is divided by i(m)?
2
Let q(j) = -17*j + j**2 - 10*j - 4*j + 44*j - 20 + 0*j**2. Calculate the remainder when q(9) is divided by 26.
22
Let u(k) = 2*k**2 - 13*k - 5. Let z be u(7). What is the remainder when z/9 - (-8205)/135 is divided by ((-35)/15)/(-1 + (-8)/(-9))?
19
Calculate the remainder when (-14 + (-15 - -32))/((-1)/(-63)) is divided by 5.
4
Let g(n) = -n**3 + 5*n**2 + 55*n + 160. Let q = -47 - -178. Calculate the remainder when q is divided by g(-3).
64
Suppose 150 = 24*s - 14*s. Calculate the remainder when 165 is divided by (-235)/s*-3 - 5.
39
Let u be ((-23)/(-7) - 3)/((-2)/(-434)). Suppose 0 = -u*q + 70*q - 352. Calculate the remainder when q is divided by 14.
2
Suppose 21*o - 25*o - 1698 = -3*b, 4*b - 2242 = -2*o. Calculate the remainder when b is divided by 53.
32
Let a(u) = u + 62. Calculate the remainder when a(-19) is divided by 43.
0
Suppose -2*d + 137*x - 140*x = -97, -4*x = -4*d + 264. What is the remainder when 3125 is divided by d?
57
Suppose -2*q + 4 = -5*k, 0*q + 3*q = 4*k + 13. Let j be (1/2)/((-5)/(-10))*q. Suppose j*x = 38 - 10. Calculate the remainder when 4 is divided by x.
0
Let u(q) = 168*q**3 - 7*q**2 + 7*q + 1. What is the remainder when u(1) is divided by 36?
25
Suppose 89*p - 72 = 87*p. Suppose 18*v = p*v - 414. Calculate the remainder when v is divided by 1*(8 + 0)*1.
7
Suppose -99 = -m + 174. Let h = -71614 - -71660. Calculate the remainder when m is divided by h.
43
Let m be (5 + -1)*(-3)/(-4). Let p be (2/m)/((16/(-366))/(-4)). Let k = -39 + p. Calculate the remainder when 108 is divided by k.
20
Suppose 0 = 87*n - 2463 + 897. What is the remainder when 8151 is divided by n?
15
Let s(y) = -3*y**3 - 9*y**2 - 4*y - 18. Let t be s(-4). Suppose -44*k = -t*k + 4. What is the remainder when 23 is divided by k?
1
Let u(o) = o**2 + 3*o + 2. Let b be u(3). Let l = 112 + -107. What is the remainder when 64 - -1 - (b - 17) is divided by l?
2
Suppose 0 = -5*r + 5*f + 120, -7*r - 4*f + 80 = -3*r. What is the remainder when 218 is divided by r?
20
Suppose -49*z + 875 = -24*z. What is the remainder when 98 is divided by z?
28
What is the remainder when 435 is divided by 17 - (4/(-16) - (-6)/(-72))*0?
10
Suppose -10 = k + 3*n, 3 = 3*k + 2*n + 5. Suppose 3*z - z + k*a = 92, a - 92 = -2*z. What is the remainder when 226 is divided by z?
42
Let y(b) = -b**3 - 7*b**2 - 6*b - 10. Let m be y(-6). What is the remainder when ((-408)/42 - m) + (-530)/(-7) is divided by 32?
12
Suppose o - 17 - 6 = 0. Suppose 0 = -13*u + o*u - 1590. Calculate the remainder when u is divided by 21.
12
Suppose 28*j - 380970 = -59*j - 3*j. What is the remainder when j is divided by 29?
28
Suppose 14*m - 28 = -0. Let a = 54 - 7. What is the remainder when a is divided by (-2)/((-5)/30*m)?
5
Suppose 18*l + 1989 = 51*l - 20*l. What is the remainder when 336 is divided by l?
30
Let j(r) = 6*r**2 - 33*r + 21. Let i be 164/20 - 2/10. Let p = 30 + i. Calculate the remainder when p is divided by j(5).
2
Suppose 5 = 5*p, -10*l + 5*l + p = -24. Suppose 56*w - 55*w = 93. What is the remainder when w is divided by l?
3
Let m(r) be the third derivative of -1/2*r**4 - 11*r**2 + 0 + 5/6*r**3 + 0*r. Calculate the remainder when m(-6) is divided by 20.
17
Suppose t - 41*t = -1480. Suppose 0 = -5*a + 3*q + 152, 3*a - 97 = -41*q + t*q. Calculate the remainder when ((-38)/(-2))/((-1)/(-3)) is divided by a.
26
Let k be ((-6)/(-15))/(1/35). Let d be 1/(-4)*14*(-8)/k. Calculate the remainder when (2 + d/5)*(-540)/(-9) is divided by 29.
28
Let p(b) = -5*b**2 - 8*b + 17. Let x be p(2). Calculate the remainder when 84 is divided by 21/14 + x/(-2).
7
Let c be (-404)/(-12) - 70/42. Let k = c + -17. Calculate the remainder when 29 is divided by k.
14
Let o = -3 + -7. Let x be 4*(-5)/o + (-1 - 19). Let v = 26 - x. What is the remainder when v is divided by 13?
5
Suppose -3*j + 30 = 2*j. Let l be (-18)/(3 + 87)*(-15 + 0). Suppose 0 = 2*o - j, -3*u - l*o + 37 = -u. Calculate the remainder when u is divided by 2.
0
Suppose 2*m - 482 = -3*g, 28*m - 31*m = -g - 734. Suppose 0 = -6*d + m + 44. What is the remainder when 238 is divided by d?
46
Let a(y) = 48*y**2 - y + 10. Calculate the remainder when a(3) is divided by 112.
103
Let h(n) be the second derivative of -n**4/12 - 11*n**3/6 + 81*n**2/2 + 29*n - 5. What is the remainder when ((-1)/(-3))/((-1)/(-6)) is divided by h(-16)?
0
Let u(n) = -2*n**2 - 20*n + 9. Let i = -57 + 47. Suppose -19 = -3*h - 1. What is the remainder when u(i) is divided by h?
3
Suppose 4*m - f = 120, -3*m + 14*f - 13*f + 89 = 0. Calculate the remainder when 1327 is divided by m.
25
Suppose 11*c = 10*c + 10. Suppose c*w = 12*w - 66. What is the remainder when 361 is divided by w?
31
Suppose 10*u = 96 - 46. What is the remainder when 173 is divided by u?
3
Let o = 11 + 40. Suppose -o = -11*k + 8*k. What is the remainder when (4/(-4) - -5) + 122/2 is divided by k?
14
What is the remainder when 487 is divided by 486/(-405)*(-1 + (-9)/6)?
1
Let k be 1 - ((-2 - -1) + -40). Let t be k/4 + ((-9)/(-6) - 1). Suppose -5*g = 5*b - 80, 4*g - 55 - t = -5*b. Calculate the remainder when 25 is divided by g.
11
Suppose 0 = -83*f + 67*f + 742 + 586. Calculate the remainder when f is divided by 22.
17
Suppose -5*s - 9*n + 12*n + 68 = 0, 2*s - 20 = -6*n. Calculate the remainder when 1298 is divided by s.
11
What is the remainder when (1113/12)/(14/(-1456)*-13) is divided by 9?
4
Suppose 220*i - 3619 = 6*i - 115*i. What is the remainder when 743 is divided by i?
6
Let r = -113 - -117. Suppose -r*f + 1402 = 3*n, 4*f + 4*n - 706 = 2*f. What is the remainder when f is divided by 39?
37
Suppose -27*w - 34*w - 4*w = -390. Calculate the remainder when 2536 is divided by w.
4
Suppose -9 = -4*j + 3. Suppose 23 = 5*q + 3*i, -9 - 