4. What is the remainder when 69 is divided by c?
19
Calculate the remainder when 36 + 809 - (-5 - 9/3) is divided by 9.
7
Let s = 477 - 466. Suppose -s*k = -l - 8*k + 54, 5*l - 330 = 3*k. What is the remainder when l is divided by (-25)/(-10)*(-18)/(-5)?
6
Suppose 0 = -2*a - 2, 4*a = w - 61. Let v be 6/(-9) + (-5)/(-3). Suppose 5*z - 29 = v. What is the remainder when w is divided by z?
3
Suppose -1599 - 176 = -71*v. Calculate the remainder when 98 is divided by v.
23
Suppose 752*c = 736*c + 1648. What is the remainder when 120 is divided by c?
17
Let r(g) = 3*g**2 + 67*g + 281. Calculate the remainder when 628 is divided by r(-4).
18
Let s(m) = m**2 - 66*m + 307. Calculate the remainder when s(62) is divided by 6.
5
What is the remainder when 210 is divided by ((-44)/(-10) - 4/10)*(-985)/(-20)?
13
Suppose -g = 10*q - 15*q + 7, -5*g + 85 = -q. Calculate the remainder when 265 is divided by g.
13
Let v(a) = 2*a**2 + 3*a. What is the remainder when v(-6) is divided by 6 + (18304/32)/52?
3
Let x(d) = d**3 + 131*d**2 + 138*d + 1407. Calculate the remainder when x(-130) is divided by 121.
4
Suppose 5 = 134*z - 133*z. Calculate the remainder when ((-9)/((-45)/z))/(2/38) is divided by 13.
6
Suppose -7 + 133 = 14*d. Suppose 68 = -a - 4. Let h = 103 + a. Calculate the remainder when h is divided by d.
4
Let z = 10 + -10. Suppose p = -z*p - 5*b - 62, 0 = 4*b + 4. Let s = p - -64. What is the remainder when 68 is divided by s?
5
Let w be (-55)/15 + 4 + 440/3. Suppose w = -8*o + 29*o. Let q(f) = -f**2 + 14*f - 1. Calculate the remainder when q(6) is divided by o.
5
Suppose 0 = 2*t - 7*t - 2*o + 71, -2*t + 3*o + 36 = 0. What is the remainder when ((-572)/8 + -1)*(-5 + 3) is divided by t?
10
Let o(m) = m**2 + 9*m + 2. Let b be o(-4). Suppose 9*z + 0*z = 28*z + 190. Calculate the remainder when (b/z)/((-30)/(-50)) is divided by 1.
0
Let q(o) = 346*o - 3415. Calculate the remainder when 1778 is divided by q(10).
23
Suppose -2*f = 3*f - 4*l + 1168, 700 = -3*f + 2*l. Let q = f + 262. Calculate the remainder when 448 is divided by q.
28
Suppose 1157*o + 1849 + 161 = 1160*o. What is the remainder when o is divided by 64?
30
Let n = 945 - 617. Let m = 495 - n. Calculate the remainder when m is divided by 14.
13
Let m(k) = -k**2 - 13*k - 12. Let x be m(-8). Suppose 0 = 3*v - v - x. Let n(s) = s**3 - 3*s**2 - 6*s - 29. What is the remainder when n(7) is divided by v?
13
Suppose -19*c + 177 + 70 = 0. Suppose 4*r = -3*r + 63. Calculate the remainder when c is divided by r.
4
Let o(q) = -5*q**2 + 44*q + 95. Let d(l) = 3*l**2 - 46*l - 96. Let c(s) = 3*d(s) + 2*o(s). Calculate the remainder when c(-42) is divided by 30.
28
Let h(z) = -z**2 - 13*z + 14. Suppose 38*u + 321 = -59. What is the remainder when 86 is divided by h(u)?
42
Suppose -5*f = -183 + 223. Let w(c) = 4*c + 50. What is the remainder when 47 is divided by w(f)?
11
Suppose 2*f + 5*a = 9, -f + 2*a = 4*f - 8. Suppose -92 + 505 = 3*d - f*k, 695 = 5*d - 2*k. Calculate the remainder when d is divided by 13.
11
Suppose 0 = -2*h + n + 93, -2*n - 66 = -h - 21. Calculate the remainder when h is divided by 8.
7
Let r be (-2)/3*(-6)/(-4). Let u = r - -5. What is the remainder when (-14)/(-10) - (-2322)/645 is divided by u?
1
Let i(s) = s**2 - 5*s - 21. Let a be (2*-1)/2 + (-1 - -46). Suppose -a = 7*z - 11*z. What is the remainder when i(z) is divided by 16?
13
Let a = -2868 - -2972. Calculate the remainder when 221 is divided by a.
13
Suppose -4*m + d = 33, 8*m = 9*m + 4*d - 13. Let l(n) = -10*n**3 + n. What is the remainder when l(-1) is divided by (-129)/(-21) - (-1)/m?
3
Let h(n) = 5*n**3 + 7*n**2 - 16. Let a be h(-4). Let m = 232 + a. Calculate the remainder when 55 is divided by m.
7
Suppose -12*f - 3800 = -17*f + j, 4*j - 3825 = -5*f. What is the remainder when f is divided by 189?
5
Let f = -73 - -124. Let h(p) be the second derivative of -p**5/20 + 11*p**4/12 - 14*p**3/3 + 3*p**2 + p + 4. What is the remainder when f is divided by h(7)?
3
Let z(l) = -l**3 + 3*l**2 + 13*l + 17. Let x be z(-4). Suppose 5*n + 427 = 4*v, -2*n - 238 = -3*v + x. What is the remainder when v is divided by 19?
8
Let o(z) be the third derivative of -5/24*z**4 + 0*z - 23/6*z**3 + 0 + 31*z**2. Calculate the remainder when o(-11) is divided by 6.
2
Suppose -4*n = 4*s - 700, 2*n - 175 = -s - 5. Calculate the remainder when 792 is divided by s.
72
Suppose 4*z - 2*z = 10, 0 = -3*m - 5*z + 364. Suppose -5*r + 125 = i, -2*r + m = i - 21. What is the remainder when i is divided by 46?
2
Let n(o) = o - 12. Suppose 0 = -4*c + 34 - 2. Let s be n(c). Calculate the remainder when 64 + (-1)/(2/s) is divided by 17.
15
What is the remainder when 848 is divided by 50/(-15)*11/(440/(-1392))?
36
Let b(l) = l**3 - 29*l**2 - 19*l + 6689. What is the remainder when b(0) is divided by 97?
93
Let a be -9*(-99)/(-27) - 1/(-1). What is the remainder when 72/a*-44 + -1 is divided by 22?
10
Let z = 414 + -380. Suppose -z*q + 300 = -9*q. Calculate the remainder when q is divided by 4.
0
Let f = -330 - -329. Calculate the remainder when -454*f/5 + (-12)/15 is divided by 31.
28
Let c = 1894 - 1415. What is the remainder when 1455 is divided by c?
18
Let b = 1524 - 1356. Calculate the remainder when b is divided by 33.
3
Let c be (-4 + (-68)/(-20))*(0 + -15). Suppose -4*k - 4 = -i + 35, -5*k = -10. What is the remainder when i is divided by 1/3*c + 22?
22
Suppose -2*y + 330 = -112. Calculate the remainder when y is divided by (1 - -39) + 4 + 1.
41
Let q(p) = 8*p + 33. Let t(k) = -10*k**3 - 6*k**2 - 2*k + 3. Let z be t(-3). Suppose 20 = 5*r - z. Calculate the remainder when r is divided by q(-3).
4
Let z(j) = 206*j - 10. Suppose 4*h - 16 = -12. What is the remainder when z(h) is divided by 18?
16
Suppose 0 = 3*z - 3*f - 6, 11*z = 9*z - 3*f + 29. Suppose 0 = 3*v + v + 4. Calculate the remainder when 9 + v/1 - -1 is divided by z.
2
Let v = 189 + -106. Let y = v - -4. Let w(o) = 4*o**2 + 59*o + 231. What is the remainder when y is divided by w(-8)?
12
Suppose -9*h + 25 + 19 = -127. What is the remainder when 3968 is divided by h?
16
Let w(b) = b**3 + 17*b**2 - 107*b + 130. What is the remainder when 3513 is divided by w(-22)?
57
Suppose -25 = -31*n + 9*n + 17*n. Suppose 0 = 3*m - s - 35, -2*s - 6 - 12 = -2*m. Calculate the remainder when m is divided by n.
3
Let i = 542 + -333. Suppose -o + 73 = -4*h + 20, 2*h - 353 = -5*o. Calculate the remainder when i is divided by o.
2
Calculate the remainder when 939 - 44 - (-7)/(28/32) is divided by 175.
28
Let g(u) = -u**2 + 47*u + 1031. Calculate the remainder when 67 is divided by g(-16).
21
Let x(y) = -4*y**2 + 19*y + 5. Let p be x(5). Suppose 3*d - 16 - 50 = p. What is the remainder when 81 is divided by d?
15
Let l(x) = -83*x - 578. Calculate the remainder when 332 is divided by l(-8).
74
Suppose -11*t + 7*t + 12 = 0. Calculate the remainder when 51 is divided by 24 + (t - 4 - 4).
13
Suppose 6*i + 51 - 99 = 0. Calculate the remainder when 741 is divided by i.
5
Suppose 4*y - 1068 = -41*f + 44*f, 1337 = 5*y - 4*f. Suppose -m = -4 - 29. Calculate the remainder when y is divided by m.
30
Let d(h) = h**2 - h + 58. Let q = 13661 - 13373. What is the remainder when q is divided by d(0)?
56
Let k(b) = 2*b**3 + 39*b**2 + 185*b + 72. What is the remainder when 1475 is divided by k(-12)?
11
Let j be 4/(368/(-1818) + (-14)/(-63)). Suppose j = n + 182. What is the remainder when 42 is divided by n?
2
Let c = -303 + 320. Let i(z) be the second derivative of -2*z**3/3 - z**2 - 6*z. Calculate the remainder when c is divided by i(-2).
5
Let v(s) be the first derivative of -21*s**2/2 - 92*s - 162. What is the remainder when 67 is divided by v(-6)?
33
Let a = 34 + -7. Let w = -144 - -235. Let m = w + -76. Calculate the remainder when a is divided by m.
12
Let a(u) = u**2 + 5*u + 5. Calculate the remainder when 8/(-7) + (-15544)/(-812) is divided by a(-5).
3
Let n = 18855 + -18745. Calculate the remainder when 261 is divided by n.
41
Suppose -6*w = -12, -2*j + 5*w + 2244 = 8*w. Calculate the remainder when j is divided by 66.
63
Let b = 266 - 257. Let p(k) = -k**3 - k**2 - k - 2. Let j be p(-3). Suppose 2*y - 15 = j. What is the remainder when y is divided by b?
8
Suppose 0 = f + 4*r + 26, -3*r - r = -5*f - 154. What is the remainder when 