2*b + 32 - 6 = 0. Suppose -j - 36 = 9. Let n = -37 - j. Calculate the remainder when b is divided by n.
5
Let a(b) = 78*b + 4537. What is the remainder when 1912 is divided by a(-46)?
14
Let p = -3418 + 3517. What is the remainder when 119 is divided by p?
20
Suppose -140118 = -401*p + 368*p. Calculate the remainder when p is divided by 51.
13
Let j(o) = o**2 + 40*o + 116. Let t be j(-37). Suppose -3*a + 118 = -5*f, -4*a - t*f = -2*f - 167. What is the remainder when a is divided by 25?
16
Suppose 17*d - 3*v - 1540 = 13*d, -d - v = -392. Let z(i) = -i**3 - 46*i**2 - 46*i - 15. Calculate the remainder when d is divided by z(-45).
28
Suppose -3*q + 329 = -4*i, -8*q = -3*q + 4*i - 591. What is the remainder when q is divided by 22?
5
Let q(l) = -1 - 11*l + l**2 + 12*l - 12*l**3 + 2*l**3 + 0*l**2. What is the remainder when q(-2) is divided by 14?
11
Suppose 0 = -3*x + 4*w + 834, -14*x + 831 = -11*x - 3*w. Let g = x - 254. Calculate the remainder when g is divided by 15.
5
Let d = -1189 + 1246. Suppose 2*u - s = 4*s + 38, 4*s = 4*u - 52. Suppose 31 = 4*f - u. Calculate the remainder when d is divided by f.
7
Let v = 433 - 424. Suppose v*u = 4*u + 225. What is the remainder when u is divided by 17?
11
Suppose 294 - 837 = -83*m + 702. What is the remainder when 2564 is divided by m?
14
Suppose 86*q - 84*q + 50 = 4*s, s = -2*q - 5. Let t = 9 - 5. Suppose -t*m + 8 = -2*m, 0 = 4*u + 4*m - 152. Calculate the remainder when u is divided by s.
7
Let k(n) = n**3 - 3*n**2 - 4*n - 2. Suppose -20*q - 242 = -42*q. Calculate the remainder when k(5) is divided by q.
6
Calculate the remainder when 245*12/120*288/42 is divided by 12.
0
Let h = -70 - -122. Let t = -9 + h. Suppose 8*v = 5*v + 36. Calculate the remainder when t is divided by v.
7
Calculate the remainder when 778 is divided by (434/4)/((-3157)/(-5412)).
34
Suppose 4*k - 1 - 11 = -4*i, -2*k + 9 = 3*i. Suppose f = 5*p, -3*f - i*p + 20 = -8*p. Calculate the remainder when 56 is divided by f.
6
Let r(f) = 41*f - 9. Let z be r(1). Let t = z - 26. Calculate the remainder when 8 is divided by t.
2
Suppose k - 5*l = 51, 125 = -3*k - 2*l + 193. What is the remainder when 960 is divided by k?
24
Let m(g) = 26*g**3 + 3*g**2 - 4*g + 2. Let h = 170220 + -170145. What is the remainder when m(2) is divided by h?
64
Suppose -o = 4*n - 3668, -3*o = -n + 881 + 49. Suppose 129*d - n = 120*d. Calculate the remainder when d is divided by 28.
18
Let z(m) = 7*m**2 - 31*m - 516. Calculate the remainder when z(15) is divided by 209.
176
Let r(a) = -6*a - 33. Let x be r(-5). Let s be (-1 - -2)*x - 139. Let f = s - -175. What is the remainder when 97 is divided by f?
31
Let w = -192 - -443. Suppose -93*c + 3043 = 346. What is the remainder when w is divided by c?
19
Suppose -9*k + 874 = -35. Suppose -33 = 3*a - 3. Let m(p) = p**3 + 9*p**2 - 14*p - 14. What is the remainder when k is divided by m(a)?
23
Suppose 2*s + 5*j - 262 = 0, -3*s + j + 402 = -25. Calculate the remainder when s is divided by 1/(2/2)*12.
9
Suppose -32872 = -470*j + 414*j. Calculate the remainder when j is divided by 308.
279
Suppose -5 = -4*f + 86 + 149. What is the remainder when 194 is divided by f?
14
Suppose -28*o + 26*o + 158 = 0. Let k(l) = l**2 + 19*l + 100. What is the remainder when o is divided by k(-5)?
19
Let l(d) = -d**3 - d**2 - d + 3. Let w be l(0). Suppose 3*s = w + 3. Suppose 0 = -18*m + 341 - 233. What is the remainder when m is divided by s?
0
Let d(x) = 31*x**2 - 102*x - 285. What is the remainder when d(-3) is divided by 14?
6
Let k be 117/(-99) - (-8)/44. Let y(o) = 39*o - 11. Let x(t) = -19*t + 6. Let v(q) = -5*x(q) - 3*y(q). Calculate the remainder when v(k) is divided by 7.
4
Suppose -3*l = -2*l - 3*b - 54, 2*l - 3*b - 105 = 0. Suppose -3*a + 3*s = -l, 3*s = -0*a - 5*a + 61. Calculate the remainder when 34 is divided by a.
6
Suppose -1386 = -508*f - 189*f + 13251. What is the remainder when 2358 is divided by f?
6
Let k(w) = -w**3 + 16*w**2 + 40*w + 32. Calculate the remainder when k(14) is divided by 491.
2
Suppose 0 = -110*y - 11 + 596 + 1065. Calculate the remainder when 255 is divided by y.
0
Let m(u) = -2*u**2 - 30*u - 52. Let p be m(-24). Calculate the remainder when (-4)/6 - p/6 is divided by 29.
22
Let m = -375 + 414. Suppose 195 - m = 12*u. Calculate the remainder when u is divided by 12.
1
Let u = 11934 - 11837. Suppose -4*h = -g - 0*g + 46, -4*h = 3*g - 106. Calculate the remainder when u is divided by g.
21
Let z(d) = 2*d**3 + 5*d**2 - 13*d - 17. Let o be z(-4). Let f(s) = -s**3 - 13*s**2 + s + 43. What is the remainder when 119 is divided by f(o)?
29
Let o = -686 - 539. Calculate the remainder when (o/(-45) - -10) + (-2)/9 is divided by 15.
7
Suppose 0 = -35*k + 1270 + 1110. Suppose -2*q = v - 32, -3*q + 2*v = 4*v - 49. What is the remainder when k is divided by q?
8
What is the remainder when (-992)/6*-1 + 28/(-12) is divided by 15?
13
Let k(n) = n**3 + 55*n**2 - 261*n + 116. Calculate the remainder when k(-59) is divided by 147.
121
Let g = -23073 - -26543. What is the remainder when g is divided by 28?
26
Calculate the remainder when (-11482536)/(-27118) + (3/28)/((-2)/8) is divided by 43.
36
Let l(f) = 3*f + 7. Let j be l(-2). Let i be 64/((-3)/(-9) - j). Let k = -87 - i. Calculate the remainder when 78 is divided by k.
6
Let y(s) = -15*s**3 - 9*s**2 + 7*s + 54. Calculate the remainder when y(-8) is divided by 69.
64
Let n = -2112 - -2153. What is the remainder when 1840 is divided by n?
36
Suppose u - 20 = -3*u. Let t(d) = -d**3 + 4*d**2 + 7*d - 4. What is the remainder when (-8)/12*177/(-2) is divided by t(u)?
5
Let r(a) = -22*a + 1999. Calculate the remainder when r(79) is divided by 88.
85
Let z = -37611 - -37624. Let o = -42 - -105. Calculate the remainder when o is divided by z.
11
Let v = -52 - -73. Let m = v - -20. Let l = m - 36. What is the remainder when 13 is divided by l?
3
Suppose 314*w - 4702 = 243*w + 3108. Calculate the remainder when 2315 is divided by w.
5
Let a(o) = -o**2 + 14*o + 3. Let f = 56 + -47. Let s = f - -3. What is the remainder when 80 is divided by a(s)?
26
Let c = 485 - 470. Calculate the remainder when 1767 is divided by c.
12
Let d(k) = 39*k**2 + 21*k - 128. What is the remainder when d(5) is divided by 55?
17
Suppose -202*t + 241*t - 14001 = 0. What is the remainder when t is divided by 10?
9
Suppose -3*j + 18 = -4*f + 6, -4*f + 5*j - 20 = 0. Suppose r + 0*r - 147 = f. Suppose -33*c + 512 = -313. What is the remainder when r is divided by c?
22
Let o = -52 - -312. Let b be o/(-6) + (-14)/(-42). Let c = b - -47. Calculate the remainder when 11 is divided by c.
3
What is the remainder when 462 is divided by -2*((-135)/18 - 6)?
3
Let u be (-120)/(-32)*(-2)/(-3)*2. Suppose -u*r = 3*q - 114, -2*q = -r + 2*r - 20. Calculate the remainder when (r/(-9))/(14/(-189)) is divided by 13.
10
What is the remainder when 599 is divided by 1960/224*(-4)/(-5)?
4
Suppose 5 = 4*j + 1, -2*u - j + 101 = 0. Let o be u/4*(-3 - -5). Let x = o + -2. What is the remainder when x is divided by 10?
3
Let b = -41 + 43. Let z be (b + -2)/2 - 13. Let x = z + 18. What is the remainder when 28 is divided by x?
3
Let n = -7405 - -7527. What is the remainder when 14881 is divided by n?
119
Suppose -752*v = -718*v - 1428. What is the remainder when v is divided by 40?
2
Let d = -361 + 389. Let x(c) = -3*c + 3. Let i be x(4). What is the remainder when d is divided by 0 - (1 - (0 - i))?
4
Let g(n) be the first derivative of -n**4/4 - 5*n**3/3 - 6*n**2 + n - 210. Calculate the remainder when 218 is divided by g(-5).
35
Let w(p) be the first derivative of -8*p**2 - 2*p + 30. Let x be w(1). Calculate the remainder when 0 - (1341/x + (-2)/4) is divided by 13.
10
Let k(r) = -42*r**3 - 54*r**2 - 5*r - 5. Calculate the remainder when 1123 is divided by k(-2).
123
Suppose 0 = -2*u - p + 556, 3*p - 5*p = u - 278. Calculate the remainder when 904 is divided by u.
70
Calculate the remainder when 4*70236/(-120)*15/(-9) is divided by 64.
62
What is the remainder when (-277160)/(-1312) + (-3)/(-4) is divided by 59?
35
Suppose 27*q + 247 = 80*q - 40*q. Calculate the remainder when 1964 is divided by q.
7
Suppose -29*g + 250 = 18. Suppose -g*x - 21*x = -667. Suppose -6*k + 4*k = -82. Calculate the remainder when k is divided by x