Calculate the remainder when 1509 is divided by w(-65).
15
Let j be 3 + (7 - 3)/(-4)*-1. Suppose j*u + o - 27 = 0, -3*u + 2*o = -u - 26. Calculate the remainder when 78 is divided by u/16*2*20.
18
What is the remainder when 60 is divided by 190*26/325 + -1 + 18/10?
12
Let q(f) = -f**3 + 4*f + 3. Let o(m) = 316*m - 3209. Calculate the remainder when o(11) is divided by q(-3).
15
Let m(n) = -2*n**2 + 26*n + 383. Calculate the remainder when 481 is divided by m(19).
16
Let m = -57 - -59. Suppose -3*u = 9, -m*z + u + 27 = z. What is the remainder when (189/(-6))/(-7)*6 is divided by z?
3
Let u = -23 + 22. Let b = 1 - u. Calculate the remainder when 4 is divided by (-1)/(-8)*b + (-133)/(-76).
0
Suppose 0 = -2*y + 4 + 2. Suppose -5*r + y = -27. Calculate the remainder when (8 - 20)*-1 - (3 + 1) is divided by r.
2
Suppose 71*c - 539 - 3261 = -1102. Suppose 0 = -0*b + 4*b - 80. What is the remainder when c is divided by b?
18
Let f(y) = y**3 - 6*y**2 + 13*y + 1. Let x be f(3). Suppose x*c - 1160 - 3286 = 0. What is the remainder when c is divided by 23?
20
Let a(j) = 4*j**3 - 5*j**2 + 13*j - 1. Suppose k - 3*v = 25, 0*k = -2*k - 5*v - 5. What is the remainder when a(4) is divided by k?
7
Let i = -36 - -38. Suppose -i*w - 55 = 31*y - 32*y, 4*w = 5*y - 263. Calculate the remainder when y is divided by 26.
25
Let i(f) = -f**3 + 19*f**2 - 7*f - 193. Suppose 25 = 5*q, 3*v - 59 = -5*q + 4*q. Calculate the remainder when 48 is divided by i(v).
3
Let z(t) = -t - 15. Let v(w) be the first derivative of -w**3/3 + 5*w**2/2 + 3*w + 34. Let b be v(-3). What is the remainder when 28 is divided by z(b)?
4
Suppose -162 - 54 = -3*b. Let a = 23 + -23. Suppose a = -i + 1, 4*l - 31 - 78 = -5*i. Calculate the remainder when b is divided by l.
20
Calculate the remainder when (181594/68)/49 - (-2 + 3/2) is divided by (0 - 1)*(-4 - 3).
6
Let d(r) = 2*r**2 - 2*r. Let u be d(2). Suppose u*p - 6*p = -40. What is the remainder when (2028/(-260))/(1/(-10)) is divided by p?
18
Suppose -101*p + 106*p - 100 = -5*y, p = -2*y + 14. Calculate the remainder when 6472 is divided by p.
24
Suppose -5*r - 4*n = -42 + 2, 4*r + 4*n = 32. What is the remainder when (-74)/(-4)*(0 - -2) is divided by (r/(-10))/(57/(-570))?
5
What is the remainder when 1124 is divided by 7*2/(-10 + 4)*-21?
46
Suppose 92 = -5*b + 542. Suppose 3*r - 24 = -3*x, -x + 5 = r + 3*x. What is the remainder when (-20)/b + (227/9 - -1) is divided by r?
8
Let a = -1 + 9. Let o(y) = -20*y**2 - 2*y + 1. Let b be o(1). Let c = 22 - b. What is the remainder when c is divided by a?
3
Suppose -242*t + 1224 = -39*t - 4663. Calculate the remainder when 3120 is divided by t.
17
Let q(h) = 3*h**2 + 3*h - 3. Let v be q(1). Suppose -3*u - 14*g + 15*g + 85 = 0, -105 = -4*u + v*g. Calculate the remainder when u is divided by 8.
6
Let l = -23 + 32. Calculate the remainder when (-2)/4*-34 + 9 + -10 is divided by l.
7
Let l(i) = -18*i + 0 - 11 + 2 - 5. Calculate the remainder when 22/(-11) + 133 + -1 is divided by l(-2).
20
Suppose -2*h - 4*l = -86, -2*h + 5*l + 45 = 4. Suppose 2 = -r, 0 = -5*x - r + 2*r + 147. Calculate the remainder when h is divided by x.
4
Suppose 555*u - 441 - 879 = 533*u. What is the remainder when 2280 is divided by u?
0
Suppose 20 = -5*x - 0, -w - 5*x = -50. Calculate the remainder when (-139)/2*-2*2 is divided by w.
68
Let d(l) = 2*l - 8*l + 4*l + l + 13. Let w be d(13). Suppose w = -o + 2*y + 18, -y - 47 = -5*o + 16. What is the remainder when 33 is divided by o?
9
Suppose -26*i - 23 = -205. Suppose -i*t - 30 = -12*t. Calculate the remainder when 106 is divided by t.
4
Let f(s) = -9*s - 5 + 21*s**2 - 14*s - 13*s + 40*s. Calculate the remainder when f(-2) is divided by 18.
17
Let t(j) be the second derivative of j**5/20 + j**4 + 10*j**3/3 + 11*j**2/2 + 210*j. What is the remainder when t(-10) is divided by 5?
1
Let p(r) = -r**3 + r + 157. Let h(z) = z**3 - 28*z**2 - 60*z + 40. Let y(l) = -l + 10. Let v be y(-20). Calculate the remainder when p(0) is divided by h(v).
37
Suppose -4*f = -2*j - 3 + 59, -3*f = -4*j + 52. Let t = f - -38. Let u(a) = -a**3 - 12*a**2 - 50*a - 4. What is the remainder when u(-7) is divided by t?
23
Suppose -4*u + w + 160 = 0, 25 = -2*u - 2*w + 105. Suppose -3930 = -u*k + 1830. Calculate the remainder when k is divided by 33.
12
Suppose -3*k = 14*z - 9828, 41*z = 40*z - 9. Calculate the remainder when k is divided by 26.
16
Let k(d) = -37*d + 122. Suppose -6*j + 2*j - c = -3, 33 = 4*j - 5*c. What is the remainder when k(j) is divided by 25?
23
Suppose 0 = -v + 3*u - 3, 0 = -4*v + 8*v + 4*u - 68. Suppose m - 26 = -2*j, 2*m = 4*m + 2*j - 58. Calculate the remainder when m is divided by v.
8
Calculate the remainder when 2258 is divided by (-50)/425 - (-14800)/85.
170
Suppose -5 + 17 = -4*t, 0 = -4*k - t + 293. Let o = 754 + -429. Suppose -18*x = -5*x - o. Calculate the remainder when k is divided by x.
24
Suppose -79*q = -80*q + 216. Let r = q - 189. Calculate the remainder when r is divided by 17.
10
Suppose 3*j + f + 30 = 0, 0 = j + 3*f + 26 - 8. Let v(z) = -2*z**3 - 15*z**2 + 22*z + 28. What is the remainder when v(j) is divided by 5?
3
Let c be (2/(-4))/(1/146). Suppose -5*v - 307 = -3*g, -14*v = 5*g - 13*v - 549. Let t = g + c. Calculate the remainder when 69 is divided by t.
33
Suppose -4 = -2*w - 3*g, 5*g + 3 = 2*w - 1. Let l be (w/3)/((-21)/(-189)). Suppose -58 + 16 = -l*o. What is the remainder when 45 is divided by o?
3
Let x = 30 - 13. Suppose 9 = f + 2*f + i, -2*i + 6 = 2*f. Suppose -2*k - 9 = 3*b - 88, f*b - 4*k = 103. What is the remainder when b is divided by x?
12
Let f = 3821 + -3528. Calculate the remainder when f is divided by 90.
23
Suppose 26*z - 3012 + 152 = 0. Calculate the remainder when 133 is divided by z.
23
Suppose -7*b = 26*b - 1254. Suppose 0 = -4*h + 3*h - 14. Let f = 24 + h. What is the remainder when b is divided by f?
8
Suppose 3*k - 14 = -v, k = -4*v - 0*k + 1. Let t be (-1)/1*v + 3. Suppose -41 = -o + t. What is the remainder when o is divided by 24?
21
Let q = 321 + -215. Let x = q + -92. Suppose s = d + x, d + 3*d = -3*s + 49. Calculate the remainder when 74 is divided by s.
14
Let j(n) = -2*n**3 + 17*n**2 - 62*n + 38. Let t(c) = c**3 - 8*c**2 + 31*c - 19. Let v(s) = 6*j(s) + 11*t(s). What is the remainder when 156 is divided by v(11)?
33
Let i = 23930 + -23802. Calculate the remainder when i is divided by 41.
5
Calculate the remainder when 150*66/22 - (2 + (0 - 1)) is divided by 35.
29
Let c(p) = p**2 - 3*p + 12. Let d be c(7). Suppose 5*a = 3*n + 1043, 5*n + 253 = a + d. What is the remainder when a is divided by 42?
40
Suppose -i - 150 = -6*i. Let b be (2/5)/(6/i). Calculate the remainder when 81 is divided by 3 - (20 - b)/(-2 - -1).
18
Suppose -552 - 203 = -5*z. Suppose 1227*d = 11381 + 8659 - 6543. Calculate the remainder when z is divided by d.
8
Let r be (2/3)/(((-144)/(-1809))/8). Suppose p = -5*f + 108, -p - r = -4*f + 14. What is the remainder when 167 is divided by f?
20
Let h be 4/(-10)*255/(-17)*-1. Calculate the remainder when 144 is divided by (-30 + 4 - h)/(-2).
4
Let k be (-6)/3*(-153)/18. Let q(v) = -6*v + 156. Suppose -58 = -8*u + 4*u + 2*h, -3*u + 3*h + 39 = 0. Calculate the remainder when q(k) is divided by u.
6
Suppose 3*a + 3*s - 993 = 0, -12*a + 11*a + 337 = 2*s. What is the remainder when 2275 is divided by a?
0
Let s(k) = -32*k + 179. What is the remainder when 242 is divided by s(3)?
76
Let b(s) = 5*s**2 + 6*s - 5. Let a be b(6). Let k = -141 + a. Suppose 127 = 90*d - 2147 + 114. What is the remainder when k is divided by d?
22
Suppose 3*y - 44 = -4*q + 503, 4*q = 2*y - 418. Calculate the remainder when 1542 is divided by y.
191
Let z(i) = -31*i - 94. What is the remainder when (-3)/((45/174)/(-5)) is divided by z(-4)?
28
Let q = -2566 - -1652. Let b = -899 - q. Calculate the remainder when 15 is divided by b.
0
Suppose 188 = 2*n + 2*g, n - 6*g + g - 88 = 0. What is the remainder when 122 is divided by -4*(-6)/72*n?
29
Suppose 0 = y - 17 - 0. Calculate the remainder when 8 + (-510)/(-21) + (8 - (-464)/(-56)) is divided by y.
15
Let n(c) = -2*c**2 + 80*c - 711. Calculate the remainder when 2096 is divided by n(15).
29
Let x(t) = -2*t**3 + 20*t**2 - 13*t + 19. What is the remainder when x(7) is divided by 104?
14
Let n = -49 - -