a. Let j be (4/(-2))/((-1)/4). Suppose 3 = p - m - j, -2*p + 23 = -m. What is the remainder when p is divided by a?
0
Suppose 7*s = -2*s + 9. Let a(x) = 3*x**2 + 7. Let o(d) = 8*d**2 + 20. Let g(b) = 17*a(b) - 6*o(b). Calculate the remainder when 6 is divided by g(s).
0
Let z be -5 + 208/21 + (-4)/(-42). Calculate the remainder when 219 is divided by -74*((0 - z) + (-27)/(-6)).
34
Suppose -4*f = 4*r - 1000, 2*f - 608 = -3*r + 147. Calculate the remainder when 782 is divided by r.
17
Let m be (-3)/((-4)/(-14) + 1241/(-3094)). Suppose -18*r - 240 = -m*r. Calculate the remainder when 64 is divided by r.
4
Let d(g) be the first derivative of -469*g**2/2 + 37*g + 206. Calculate the remainder when d(-1) is divided by 51.
47
What is the remainder when ((-236)/354)/((-2)/10470) - -8 is divided by 206?
202
What is the remainder when (-6*(-7)/(-105))/(12/(-79980)) is divided by 887?
5
Let z(p) = -6*p + 11. Suppose 0 = -2*v + 7*v + 4*r - 158, -3*r = -2*v + 54. Suppose 7 = v*s - 31*s. What is the remainder when z(s) is divided by 11?
9
Let u = 22554 + -22279. What is the remainder when u is divided by 3?
2
Let o(v) = 4*v**2 - 80*v - 1599. Calculate the remainder when o(-18) is divided by 290.
267
Let r(y) = y**3 - 46*y**2 + 44*y + 38. Let d be r(45). Let c(b) = b**2 + 4*b - 15. Calculate the remainder when 76 is divided by c(d).
4
Suppose 5*c - 6 = -2*m + 2, 4*c - 6 = -2*m. Let p be c/3*6*18. Suppose -3*f + 214 + p = -2*v, -5*v - 176 = -2*f. What is the remainder when f is divided by 20?
18
Let y = 1027 + -201. What is the remainder when y is divided by 408?
10
Suppose 3*f - 6 = 0, -1 - 1 = -3*j + 5*f. Suppose -689 = -j*i - 621. Suppose -4*n + 313 - 49 = 0. What is the remainder when n is divided by i?
15
Suppose 1 = -0*u + u, 5*u = 2*p - 25. Suppose -3*f + 121 = -3*s - 218, 331 = -3*s + f. Let b = s - -197. Calculate the remainder when b is divided by p.
13
Suppose 131*o - 31830 = -8774. Calculate the remainder when 3691 is divided by o.
171
Calculate the remainder when 416 is divided by (-190)/(-95) + 180/2.
48
Suppose 2*s - 20 = -5*m - s, 4*s + 12 = 3*m. Suppose 165 = 3*b - 4*a + 13, -m*b + a = -207. Let h = b - 29. What is the remainder when 67 is divided by h?
21
Let h = 154 - 95. Suppose -x + 49 = 5*j - 4*j, -4*j - h = -x. Suppose -2*c - 3*m + 18 = -30, 2*m + 64 = 4*c. Calculate the remainder when x is divided by c.
15
Let k(z) be the first derivative of 14*z**3/3 + z**2 + 5*z + 5. What is the remainder when k(2) is divided by 33?
32
Suppose -10*d + 212 = -178. What is the remainder when d is divided by 12?
3
Suppose -d = -2*v - 24, -131 = -3*d - 2*v - 19. Let f(h) = -h**3 - 13*h**2 - 10*h - 35. Calculate the remainder when f(-13) is divided by d.
27
Let v = 3549 - 2978. What is the remainder when 606 is divided by v?
35
Let x = -15697 - -15851. Calculate the remainder when 2635 is divided by x.
17
Let d = -131 - -129. Calculate the remainder when 97 is divided by (14 - 13)*(27 + d).
22
Suppose 2*x + 428 = 5*n, -433 = -307*n + 302*n - 3*x. Let d(b) = -2*b**3 - 4*b**2 + 4*b + 5. Calculate the remainder when n is divided by d(-4).
33
Suppose -57 = -5*w + 2*w. Let p(g) = 2*g**2 - 16*g + 15. Suppose 0 = 4*m + 12, 0 = -3*l - 17*m + 16*m + 27. What is the remainder when p(l) is divided by w?
17
Let p(n) = -n**3 - 14*n**2 + 20*n + 15. Let b be p(-15). Let g = 19 - 19. What is the remainder when 4432/60 + g + (-8)/b is divided by 15?
14
Suppose 2*a + 10 = 2*f, -2*f - a + 1 = -0*f. Suppose 2*h - f*d + 54 = 0, h + 45 = -h + 5*d. Calculate the remainder when 142/4 - (h/12 - -3) is divided by 9.
8
Suppose -202*n - 7 = -203*n. Suppose n*m + 62 - 552 = 0. Calculate the remainder when m is divided by ((-1)/(-2))/((-13)/(-624)).
22
Let s = 36555 + -34677. What is the remainder when s is divided by 17?
8
Let h(x) = -x**3 - 4*x**2 + 8*x + 12. Suppose -2*g + 4*c = g - 32, -2*g + 3 = c. Suppose -57 + 33 = g*s. What is the remainder when h(s) is divided by 11?
3
Suppose -3*z = -2*x + 114, z = 3*x - 94 - 70. Let k = x - 111. Let v = 71 + k. Calculate the remainder when 51 is divided by v.
9
Suppose 5*h = 13*h - 64. Suppose h*q - 65 = 143. What is the remainder when 34 is divided by q?
8
Suppose -60240 = -5*n - 20215. Calculate the remainder when n is divided by 88.
85
Let o(s) = 4*s**2 + 7*s. Suppose 3*n - 204 = -5*k, 4*k = n - 37 + 190. Calculate the remainder when o(-5) is divided by k.
26
Let r = 395 - 396. Calculate the remainder when 47 + -2 + 5 - r is divided by 31.
20
Suppose -86 = -17*d - 1. Suppose 337 = d*z - 1158. What is the remainder when z is divided by 12?
11
Let w(j) = 688*j + 700. What is the remainder when 860 is divided by w(-1)?
8
Let s be (3/(-9))/((-1)/207). Suppose s = 8*i - 51. Let x = 8 + 20. What is the remainder when x is divided by i?
13
Let s = 3809 - 3730. Calculate the remainder when 120 is divided by s.
41
Suppose 3*p - 41 = -2*h, 2*h - p = -0 + 29. Suppose -7*f = -26*f + 13547. Let x = f - 684. What is the remainder when x is divided by h?
13
Let w = 4268 + -3352. Calculate the remainder when w is divided by 132.
124
Suppose -52*r + 99*r = 190 + 186. Let j be 106/3 - 4/(-6). Calculate the remainder when 4/(-18) - (-1052)/j is divided by r.
5
Let f be 66/1 - (1 - -1). Suppose 20 = -2*b + f. Suppose 52*s + 85674 = 89002. What is the remainder when s is divided by b?
20
Suppose -4*s = 0, 40*s - 37*s = 2*o - 356. What is the remainder when o is divided by ((-95)/(-10) + 2)*4?
40
Suppose 3*k + 446 = 5*q, -k + 94 = q - 0*q. Let m be 58/(-8 + 15 - 6). Suppose 0 = 2*g + 10*y - 7*y - m, 12 = 3*y. What is the remainder when q is divided by g?
22
Let d(w) = w**3 - 3*w**2 + 4*w - 2. Suppose 5*a - 2 = 8. Let j be d(a). Suppose 49 + 65 = j*x. What is the remainder when x is divided by 12?
9
Suppose -781*f + 780*f = c - 107, c = -5*f + 119. What is the remainder when 1767 is divided by c?
103
Calculate the remainder when 254 is divided by 1017070/14310 + 4/(-54).
41
Suppose -5*s = -0*s - 4*a + 2, 5*a = 2*s + 11. Suppose 5*t + 23 = u, 17 = -u - t - s*t. What is the remainder when ((-6)/(-18))/(u/(-426)) is divided by 38?
33
Let b(x) = 4*x**2 + 5*x - 2. Let z be b(5). Let p = -67 + z. Calculate the remainder when p is divided by (15/(-5) + (-13 - -4))*30/(-18).
16
Let m(c) = -39*c + 1115. What is the remainder when m(27) is divided by 35?
27
Let n = 8 + 7. Let d(h) = -h**3 + 11*h**2 + 44*h + 61. What is the remainder when d(14) is divided by n?
14
Suppose 0 = -3*h + 25 - 4. Suppose -h*m - 200 = -32*m. Calculate the remainder when 43 is divided by m.
3
Suppose -134 = -3*s + l, -53 = -2*s + s + 2*l. Let v = s - 16. Suppose -3*q - 4*r + 2 = -41, q - v = 5*r. Calculate the remainder when q is divided by 9.
8
Suppose 66*s = 710099 - 85013. What is the remainder when s is divided by 64?
63
Let i(u) = -5*u + 37. Let t(v) = 3*v**2 + 6*v - 2. Let j be t(-3). Let y be i(j). Calculate the remainder when (-489)/(-6) + 5/(20/y) is divided by 28.
26
Let d = 68 - 60. Suppose -3*g - d = -50. What is the remainder when -6*((-14)/4 - 3) is divided by g?
11
Suppose 3*i = 5*d - 174, 1621*i - 1617*i = -d + 21. Let g be 160/24 + (-2)/(-6). Let b = 13 - g. What is the remainder when d is divided by b?
3
Let m be ((-45)/18)/((-2)/4) - -129. Let i = 154 - m. Let j(l) = 37*l**2 + l - 1. What is the remainder when j(1) is divided by i?
17
Let u = 3622 + -3075. Calculate the remainder when u is divided by 4.
3
Suppose -4*m + 3*m + 149 = 0. Let r = 304478 + -304459. Calculate the remainder when m is divided by r.
16
Let u = 13550 + -13544. Calculate the remainder when 2625 is divided by u.
3
Let o be 98/(-16) + (1 - (-14)/(-16)). Let n(z) = -4*z + z**3 - 9*z**2 - 4 + 0*z + z**2 + 14*z**2. Calculate the remainder when 76 is divided by n(o).
16
Suppose 37*y - 25*y = 600. Suppose -2*j = -3*c + 742, -5*j + 208 = c - 28. What is the remainder when c is divided by y?
46
Suppose -699*t = 5*b - 696*t - 198, 2*b - 2*t - 76 = 0. What is the remainder when 304 is divided by b?
31
Let n(f) = -f**3 + 14*f**2 - 7*f + 8. Let h be n(11). Let z = -188 + h. Let r = -68 + z. Calculate the remainder when 111 is divided by r.
35
Let r be -3 + (-372)/28 - 10/(-35). Let t(u) = u**3 + 17*u**2 + 11*u + 16. What is the remainder when t(r) is divided by 20?
16
Let o = -22298 - -22418. Calculate the remain