= 12. What is the remainder when p(z) is divided by i?
1
Suppose 2*p - 4*a - 2 + 8 = 0, 3*p - 11 = a. Suppose 4*k + 39 = p*k + y, -3*y = -15. What is the remainder when 51 is divided by k?
17
Suppose 5*y = 4*z - 877, 4*z = 2*y + 607 + 279. What is the remainder when 4676 is divided by z?
216
Let m = 18921 + -18904. Suppose s - 91 = -4*v, 2*v + 421 = 5*s + 5*v. Calculate the remainder when s is divided by m.
15
Let c(b) = b**3 - 9*b**2 - b - 4. Let h be c(9). Let x = 13 + h. Suppose l = 1, l + x*l + 67 = 4*s. Calculate the remainder when s is divided by 4.
1
Let x = 82 - 56. Calculate the remainder when (-69)/18*-20 - (-555)/(-333) is divided by x.
23
Suppose -s + 17 = -2*p, 6*p = 4*s + p - 59. Calculate the remainder when 10 is divided by (0 + -1)/((-684)/(-63) - s).
3
Suppose 0 = 330*d - 414943 - 525557. What is the remainder when d is divided by 17?
11
Let k(p) be the first derivative of -17*p**3 + 2*p**2 - 2*p - 17. Let s be k(1). Let o = -32 - s. Calculate the remainder when o is divided by 10.
7
Let k(x) be the first derivative of 31/2*x**2 - 33*x + 25 + 2/3*x**3. What is the remainder when k(-17) is divided by 6?
0
Let u be (2*6/(-4))/(3/158). Let d = -156 - u. What is the remainder when 8 is divided by d?
0
Let k = -2307 + 2311. Calculate the remainder when 82 is divided by k.
2
Let o = -9015 + 9075. What is the remainder when 117 is divided by o?
57
Let w(m) = 4*m**3 - 36*m**2 - 5*m - 31. What is the remainder when w(10) is divided by 38?
15
Suppose 0 = 3*f - 2*f - 2*f. Suppose f = 13*i + 654 - 2409. What is the remainder when i is divided by 34?
33
Let g(j) = -j**3 + 36*j - 23. Let v(o) = 16*o + 9. Suppose 0 = -5*k - w - 0*w + 33, -3*k + 2*w + 25 = 0. What is the remainder when v(k) is divided by g(5)?
25
Let w(c) = 10*c**2 + 68*c - 86. What is the remainder when 1379 is divided by w(-8)?
9
Let w = -160 - -263. Let b(u) = 4*u - 15. Calculate the remainder when w + (5 + -3 - 7) is divided by b(10).
23
Let h(r) = 25*r**2 + 210*r - 47. What is the remainder when h(-9) is divided by 42?
4
Suppose 4*m + 91 = 5*q, 0 = 3*q - q + 5*m - 10. Suppose -17*u + q*u = 4. Let y(f) = f**2 - 3*f - 3. What is the remainder when 47 is divided by y(u)?
5
What is the remainder when 260 is divided by 164/164 + (0 - -67)?
56
Let t(j) = -j**2 - 6*j - 50. Let k be t(0). Let b(s) = s**3 - s**2 - 4*s + 5. Let i be b(5). Let x = i + k. Calculate the remainder when 103 is divided by x.
33
Let m = -3110 + 3330. What is the remainder when m is divided by 43?
5
Let z = -9424 - -9458. What is the remainder when 9315 is divided by z?
33
Suppose -r + 1 = 0, o + 33*r = 29*r + 134. What is the remainder when 639 is divided by o?
119
Let g be -4 - ((-17 - -2) + 1). Suppose -g = 2*s - 7*s. Suppose -27 = -3*t + s*t. Calculate the remainder when 53 is divided by t.
26
Suppose -2*r + 5*h = -22, -18 - 12 = -4*r + 3*h. Calculate the remainder when (-2064)/(-72) + 2/r is divided by 8.
5
Suppose 0 = -2*q - 3*s + 97, -3*q - 2*s = 2*q - 270. Suppose -416*o - 63 = -419*o. What is the remainder when q is divided by o?
14
Let r(b) = 20*b**2 + 2*b + 1. Suppose 4*z = -3*t + 413, -4*t + 113 - 39 = z. What is the remainder when z is divided by r(-1)?
15
Suppose 0 = -5*n - 0*n - 80. Let o be (n/120*-40)/(4/(-4614)). Calculate the remainder when 113 is divided by 4/(-26) - o/104.
54
Let o = -132 - -226. Let d = o + -9. Let t = -44 + d. Calculate the remainder when 80 is divided by t.
39
Let x(t) = 334 + t + t - 350. Let h be x(9). What is the remainder when 130 is divided by 1/h + 348/8?
42
Let i(g) = g**2 - g + 17. Let c = -18084 + 18234. What is the remainder when c is divided by i(0)?
14
Suppose 3*x - 859 = 5*n - 777, 0 = -5*x + 5*n + 110. What is the remainder when 7246 is divided by x?
8
Suppose -25*c + 422 + 803 = 0. Calculate the remainder when 5 + 16/(-4) - -141 is divided by c.
44
Suppose y + 3*z = -45, -30 = y - 3*z + 33. Let b = y + -21. Calculate the remainder when b*(-5)/15 - 3 is divided by 10.
2
Suppose 5*d + 184 = 1309. Calculate the remainder when d + (7 - 6)*(0 - 3) is divided by 16.
14
Suppose 530 = -2*p - 3*y - 166, 5*p + 1714 = -y. Let v be (-2)/14 + (p/14)/(-3). Suppose -10*j - v = -68. What is the remainder when j is divided by 2?
0
What is the remainder when 76 is divided by ((-319)/(-33))/(((-7)/(-168))/((-1)/(-4)))?
18
Let w = -76 + 78. Suppose r + 2 = c - w*c, c = 5*r - 2. Calculate the remainder when 0/(-6) + ((-2)/c - -24) is divided by 7.
4
Suppose 3*c - 684 = 2*z + 3383, 3*z - 6 = 0. What is the remainder when c is divided by 29?
23
Let v = -14 + 21. Suppose -2*y - n - 2 = 0, 4*y = 3*n - 1 + v. Suppose 4*r + y*r - 240 = 0. Calculate the remainder when r is divided by 21.
18
Suppose 121*h - 59786 = 9426. Calculate the remainder when h is divided by 145.
137
Let p = -27325 - -27724. Calculate the remainder when 1542 is divided by p.
345
Let h(d) = 6*d**3 - 32*d**2 - 9*d + 47. What is the remainder when 1504 is divided by h(6)?
134
Let y be (-3)/3 + -3 + 1. Let w be ((-18)/12)/(y/34). Let a = w + -10. Calculate the remainder when 18 is divided by a.
4
Let n(u) = u**3 + 23*u**2 - 21*u + 73. Let m be n(-24). Let c(v) = 212*v**2 - 20*v + 19. Calculate the remainder when c(m) is divided by 27.
22
Let l = -21356 + 21366. Calculate the remainder when 153 is divided by l.
3
Let h(w) = -w**3 + 2*w**2 - 2*w - 4. Let t = 147 - 144. Suppose 2*r + t*n + 4 = 14, 5*r - 3*n = 25. What is the remainder when h(-2) is divided by r?
1
Suppose 4*w - 82 = -5*u + 43, -2*u + 134 = 4*w. Let b = -30 + w. Suppose -b*l + 22 = -8. What is the remainder when 64 is divided by l?
4
Suppose 3*q + 2*q + 772 = 2*v, -5*q - 768 = 2*v. Let j = q + 174. What is the remainder when 98 is divided by j?
18
Let x = 38 + 11. Let z(p) = -3*p**2 - 302*p + 115. Calculate the remainder when z(0) is divided by x.
17
Let y be (-2)/6 + 13/3. Suppose m - 297 = -5*b - m, y*b + 3*m = 232. Let q = 251250 + -251227. Calculate the remainder when b is divided by q.
15
Suppose 297 + 401 = 20*y - 302. What is the remainder when 711 is divided by y?
11
Suppose 4*m - 104 = 6*m - 4*o, 0 = 2*m - 2*o + 106. What is the remainder when 1 is divided by m/36*8/(-12)?
0
Let q be 59*-5 + 76/19. Let f = -281 - q. What is the remainder when 436 is divided by f?
6
Let g(r) = 2*r**3 + 204*r**2 - 36*r - 2850. What is the remainder when g(-102) is divided by 273?
3
Let u = -36339 + 36557. Calculate the remainder when 8282 is divided by u.
216
Suppose 0 = 20*o + 2*b + 125 - 877, -b = -2*o + 68. Calculate the remainder when 1590 is divided by o.
36
Calculate the remainder when 6525 is divided by (5 - (12 + -1)) + 23.
14
Suppose -m + f - 816 = 0, 1958 = -2*m - 2*f + 338. Let k = m + 1226. What is the remainder when k is divided by 18?
17
Let r(t) = 23*t + 1. Let c be r(-3). Let l = 75 + c. Let n = 113 - 81. Calculate the remainder when n is divided by l.
4
Suppose 4*y - y - 4*z = 28, 4*y + 2*z - 8 = 0. Calculate the remainder when 39 is divided by 30/y*(-20)/(-15).
9
Suppose -54*z - 9*z = -3969. Suppose 68*v = z*v + 350. What is the remainder when 278 is divided by v?
68
Let i be -12 + (-2 - -1)/(3/(-12)). Let x = i - -46. Calculate the remainder when x is divided by (-1)/(((-8)/(-14))/(-4)).
3
Let v(h) = -2*h**3 - 7*h**2 - 2*h + 7. Let p be v(5). Let g = p - -468. Calculate the remainder when g is divided by 15.
10
Let h(l) = l + 16. Let r be h(-9). Suppose 3*m = r*m + x + 132, 5*x = -20. Let n = m - -67. What is the remainder when n is divided by 12?
11
Let a(s) = -2*s**3 - 16*s**2 - 484*s - 3283. Let o(r) = r + 1. Let w be o(3). Suppose -10 - 126 = -w*h. What is the remainder when h is divided by a(-7)?
6
Suppose -2*s + 1586 = 4*v, -4*v - s + 1583 = -0*s. Suppose -v = u - 6*u. Let w(d) = d**3 + 7*d**2 + 12*d + 26. What is the remainder when u is divided by w(-5)?
15
Suppose -v + 18 = 2*u, 5*v + 6*u - 96 = 2*u. Let g(r) = -6206*r + 111801. Calculate the remainder when g(18) is divided by v.
13
Let y be (7 - -60) + 13 + -5. Suppose -17*c + 602 = y. Calculate the remainder when 59 is divided by c.
28
Suppose -5*v = 5*n - 225 - 55, 2*v + 4*n - 116 = 0. What is the remainder when 697 is divided by v?
49
Let z(c) = -10*c**2 - c + 1. Let a be z(2). Let i be (5/10)/((-101)/50 - -2). Let o = i - a. Calculate the remainder when 77 is divided by