divided by j?
8
Suppose -w = -5*w - 4, 3*b + 3*w - 90 = 0. Let x = -14 + b. Suppose -q + 4 = -5. What is the remainder when x is divided by q?
8
Let k = -22 - -24. Suppose n + 1 = -k*t + 6, 0 = -5*t + 2*n - 1. What is the remainder when 3 is divided by t?
0
Let l be -3*((-132)/(-3))/(-4). Let v = l - 24. Let s(q) = q**3 - 9*q**2 + 3*q - 7. What is the remainder when 98 is divided by s(v)?
18
Let d(x) be the second derivative of -7*x**3/3 + 39*x**2 + 99*x. Calculate the remainder when 4/(-10) - 424/(-10) is divided by d(4).
20
What is the remainder when 422 is divided by (1 + -8)*(828/21)/(-4)?
8
Suppose 5*z - 57 = 4*g, 5*g + 42 = 4*z - z. What is the remainder when ((-9020)/(-605))/((-2)/(-11)) is divided by 183/z + 4/6?
19
Let z(o) = -9*o**2 + 33*o**2 + 4 - 24*o + 27*o. What is the remainder when z(-2) is divided by 24?
22
Suppose f + 5*z = 14, 5*f + 46 - 212 = -z. Suppose -15*k + 40*k - 250 = 0. Calculate the remainder when f is divided by k.
4
Suppose 5*h + 97 = 4*c, c + 2*h = -2*h + 40. Suppose 6*b - c = 4*b. Let p = b + -7. What is the remainder when 20 is divided by p?
6
Let j(c) = -4*c - 7. Let m be j(-10). Suppose -h = 2*h - m. Calculate the remainder when h is divided by 6.
5
Suppose -5*g = -238 + 43. Suppose 3*d - g = -2*x + 32, 100 = 3*x - 2*d. Suppose 13*y = 28*y - 180. Calculate the remainder when x is divided by y.
10
Suppose 4*v - 4*a - 4 = 0, -57*v + 16 = -53*v - a. Let w = -6 - -10. Suppose 2*g = x + 4, 2*x - 4*g = -2*x + w. What is the remainder when x is divided by v?
1
Let l = -297 + 301. Calculate the remainder when 64 is divided by l.
0
Let s = -51 + 89. Suppose -2*a + s = -0*a. Let v(k) = 5*k - 20. Calculate the remainder when a is divided by v(5).
4
Suppose 2*l - k - 392 = 0, 14*l - 597 = 11*l - 3*k. Calculate the remainder when l is divided by 51.
44
Let y(t) = 5*t**3 - 4*t**2 + 3*t + 2. Let k(s) = -6*s**3 + 4*s**2 - 4*s - 3. Let x(d) = -6*k(d) - 7*y(d). What is the remainder when x(-3) is divided by 1?
0
Suppose 0 = f + 1, -n - 3*f - 57 = 0. Let h = 29 - n. Calculate the remainder when h is divided by 17.
15
Suppose -5*r + 0*r = -205. Suppose 5*c - 36 = l, -7*c + 36 = -3*c + l. Let y(u) = -u**3 + 6*u**2 + 18*u - 2. Calculate the remainder when r is divided by y(c).
13
Let j = -131 - -110. Let b(v) = -6*v - 35. Calculate the remainder when b(j) is divided by 19.
15
Suppose -187*w = -222*w + 4655. What is the remainder when 501 is divided by w?
102
Let s(j) = -j**3 - 17*j**2 + 21*j + 65. Let f = 96 + -65. Calculate the remainder when f is divided by s(-18).
9
Let v(l) = -l**3 + l**2 + 2*l + 10. Let d be v(0). Calculate the remainder when 24 is divided by (d - 6)/(4/3).
0
Suppose -5*u = 6*a - 4*a - 88, -4*a = -3*u - 176. What is the remainder when 85 is divided by a?
41
Let y = 2129 + -2081. Calculate the remainder when 65 is divided by y.
17
Let p(s) be the second derivative of -7*s + 1/20*s**5 + 2*s**3 - 8*s**2 + 0 - 3/4*s**4. What is the remainder when 47 is divided by p(8)?
15
Let b(w) = -w**3 - 3*w**2 + 2*w + 5. Let a = -2797 + 2802. What is the remainder when b(-4) is divided by a?
3
Let a(h) = 3*h**2 + 13*h - 9. What is the remainder when 93 is divided by a(-7)?
46
Let m = -39 - -51. Let t(k) = k + 12. Let b be t(-9). Let x(f) = 10*f + 3. What is the remainder when x(b) is divided by m?
9
Suppose -5*r - 32 = -7*r. Let y(a) = r - a**2 + 7*a + 0*a + 6*a. What is the remainder when y(14) is divided by 2?
0
Suppose 2*s = 8, n - 7*s = -6*s + 346. What is the remainder when n is divided by 90?
80
Suppose 0 = -2*c + 10. Suppose 4*w - 2*o = 72, 4*w + c*o = 4*o + 78. Let z = 135 + -125. Calculate the remainder when w is divided by z.
9
Let p be 113949/55 + (-2)/(-10). Calculate the remainder when 197 is divided by 4/26 + p/52.
37
Let d = -1084 + 1265. Calculate the remainder when d is divided by 13.
12
Suppose 5*q = 3*q + 5*t + 11, 0 = -q + 5*t + 3. Calculate the remainder when 101 is divided by q.
5
Suppose -314 - 96 = -3*f - z, -z + 5 = 0. Suppose 5*i - 2*k - f = 0, -4*k - 105 = -5*i - 8*k. What is the remainder when 47 is divided by i?
22
Suppose 16*c - 62 = 34. Let v(f) = -3*f + 3. Calculate the remainder when v(-6) is divided by c.
3
Suppose -3*t + 5 = 2. Suppose n - t = -3, -5*n - 46 = -3*h. Let o = 287 + -264. What is the remainder when o is divided by h?
11
Let b = -21 + 25. Suppose -2*l + b = 2*r, -3*r = -0*r - 4*l - 20. Suppose -r*s + 130 = s. Calculate the remainder when 76 is divided by s.
24
Let q = 356 - 177. Calculate the remainder when q is divided by 13.
10
Let j = 33 - 17. Let v(z) = 24*z + 270. Calculate the remainder when j is divided by v(-11).
4
Suppose 25*s + 138 = j + 23*s, -3*s - 572 = -4*j. Calculate the remainder when j is divided by 41.
23
Suppose -9*v + 10*v = 331. Calculate the remainder when v is divided by 37.
35
Let z be 3/(3 - (-15)/(-6)). Let j be -1 - (z - (-12)/(-3)). What is the remainder when (98/(-3) + -3)*j is divided by 27?
26
Let n = 51 - 29. Let c = n - 10. Let x = 19 - c. What is the remainder when x is divided by 5?
2
Let c be 5 + 0 - (5 + -5). Suppose 5*k - 150 = -c*o, k + 14 = 2*o - 31. Calculate the remainder when o is divided by -18*(-4)/6 - 3.
7
Suppose 0 = o, -3*y - 5*o + 1 = -2. Let h be (3/y - 6)*3. Let x = h - -22. What is the remainder when 24 is divided by x?
11
Let m be (-2)/2 - (-6)/24*-4. Let s(z) = 22*z**2 - z - 1. What is the remainder when s(m) is divided by 10?
9
Let m = -10 + 29. Let s = 4 - 6. What is the remainder when -2 + 174/3 + s is divided by m?
16
Let m(j) = -j**2 - 3*j + 5. Let w be m(-4). Let g = w + 6. What is the remainder when 20 is divided by g?
6
Suppose -3304 = 35*p - 63*p. What is the remainder when 601 is divided by p?
11
Let i(v) = -3 - 3*v - v**2 - 4 + 21*v - 4. What is the remainder when i(12) is divided by 9?
7
Suppose 5*t = -t + 42. Let q(r) = -r**3 - 3*r**2 + 3*r - 2. Let a be q(-4). Suppose -4*w + a + 102 = 0. What is the remainder when w is divided by t?
5
Let y = 239 + -2. Calculate the remainder when y is divided by 24.
21
Suppose 8 = w - 0*w - 5*y, -4*w + y + 13 = 0. Suppose -w*x = 4*h - h - 54, -2*h + 87 = 5*x. Calculate the remainder when 42 is divided by x.
8
What is the remainder when (13 - 14)*75/((-12)/4) is divided by ((-20)/16)/((-1)/12)?
10
Suppose -10930 = -36*l - 238. Calculate the remainder when l is divided by 75.
72
Let b(r) = -4*r**2 - r - 2. Let q(n) = n + 1. Let l(o) = -b(o) - 2*q(o). Suppose -2*j + 114 - 8 = 0. What is the remainder when j is divided by l(-2)?
17
Suppose -14*c + 16 = -10*c. Suppose -5*x - 20 = 0, -z + x = -c*z + 29. What is the remainder when 19 is divided by z?
8
Let y(p) = -66*p + 640. What is the remainder when 458 is divided by y(9)?
44
Let s be (0 - -45)*(-152)/(-57). Suppose 0 = -5*n - 0*n - 5*g + s, 28 = n + 2*g. What is the remainder when n is divided by 7?
6
Let v = -34 - -51. What is the remainder when v is divided by (-3 - (-8)/(-2))/(-1)?
3
Suppose 0 = 36*b - 2517 - 1443. Calculate the remainder when 274 is divided by b.
54
Suppose 5*q - 6 = 2*a, -4*a + 9*a + 77 = -3*q. Let k be 15/a - (-2)/13. Let p = k - -20. Calculate the remainder when 56 is divided by p.
18
Suppose -2*m + 4*m - 635 = 5*r, -2*r = 4*m - 1234. What is the remainder when m is divided by 53?
45
Let w be 0/((-1)/(-4 - -5)). Suppose 2*t - t - 28 = w. Let z = -8 + t. Calculate the remainder when 38 is divided by z.
18
Suppose 0 = -4*z + 5*a + 88, a = -z + 2*a + 21. What is the remainder when 48 is divided by z?
14
Suppose 5*f = 79 + 356. Calculate the remainder when 257 is divided by f.
83
Let g = -132 + 349. Suppose -3*z - 4*z + g = 0. Calculate the remainder when 121 is divided by z.
28
What is the remainder when 177 is divided by (-41)/(5412/(-5256)) + (-4)/(-22)?
17
Let f(w) be the third derivative of w**6/120 + w**5/15 - 5*w**4/24 + 4*w**3/3 - 7*w**2. Calculate the remainder when 46 is divided by f(-5).
6
Let h = 284 + -257. Calculate the remainder when h is divided by 2.
1
Suppose -2*r = -5*l + 652, -4*l - r = r - 518. Suppose 6 + 4 = 5*n. Calculate the remainder when 2/(-10) + 1066/l is divided by n.
0
Calculate the remainder when 702 is divided by (-5)/(8/(-376)*5).
44
Suppose 334 + 1511 = 3*b. Suppose -97 - b = -8*v. Calculate the remainder when v is divided by 10.
9
Let r(v) = 4*v**2 + 20*v + 1. Let c be r