Let p(c) be the third derivative of -c**5/60 - 7*c**4/12 + 3*c**3 + 11*c**2. Calculate the remainder when g is divided by p(-15).
0
Suppose 81*n = 84*n - 171. What is the remainder when n is divided by 21?
15
Let l(u) = u**3 - 5*u**2 + 24. What is the remainder when 140 is divided by l(0)?
20
Suppose 0 = 3*m + t + 11 + 3, -4*t = -m + 4. What is the remainder when -6 - (-39)/6 - 386/m is divided by 14?
13
Let q(l) = -3*l + 182. What is the remainder when q(20) is divided by 37?
11
Suppose 0 = -3*n + 5*x + 893, -7*n = -3*n + 2*x - 1182. Calculate the remainder when n is divided by 60.
56
Suppose 4*z + 235 - 339 = 0. Calculate the remainder when 280 is divided by z.
20
What is the remainder when 416 is divided by (-4)/6*-87 - (-12 - -10)?
56
Suppose -4*i = -4*y + 32, -30*y - 4*i = -29*y - 23. What is the remainder when 48 is divided by y?
4
Suppose -48*x + 1560 = -40*x. Calculate the remainder when x is divided by 62.
9
Let h(x) = -19*x - 35. Calculate the remainder when 78 is divided by h(-4).
37
Let v(c) = 3*c**2 - 68*c - 36. What is the remainder when v(26) is divided by 15?
14
Suppose 9 = -3*y + 24. Let v be (-180)/(-50)*y/2. Suppose -115 = -v*h + 4*h. Calculate the remainder when h is divided by 6.
5
Suppose -2*l - 4 = 2*d, -l + 0 + 1 = 0. Let b(o) = 5*o. Let q be b(d). Let v = q - -26. What is the remainder when 21 is divided by v?
10
Let q = 998 - 958. Calculate the remainder when 119 is divided by q.
39
Let n = 27 - 21. Suppose 0 = -n*c - 0*c + 192. What is the remainder when 95 is divided by c?
31
Suppose -3 - 17 = -5*j. Suppose -52 - 168 = -4*q + t, 72 = q + j*t. Let c = -16 + 35. What is the remainder when q is divided by c?
18
Let x = -157 - -234. Let s = 21 + 6. What is the remainder when x is divided by s?
23
Suppose 11*r - 9*r = -16. Let f = r - -18. What is the remainder when f is divided by 6?
4
Let f be -4 + -3 + 5 + 4. Suppose -11 = y - f*y. What is the remainder when 74 is divided by y?
8
Suppose 29*n - 165 = 734. What is the remainder when 58 is divided by n?
27
Suppose 0 = -21*f + 9*f + 228. Calculate the remainder when f is divided by 1.
0
Let u(i) = -31*i - 12. Let g be u(4). Let o = g - -149. What is the remainder when o is divided by 7?
6
Let r be (-5)/45 - (-6886)/9. Suppose 0 = -2*l + 5*d + 313, 9*l + 5*d = 4*l + r. Calculate the remainder when l is divided by 31.
30
Let k = 1083 + -1079. Calculate the remainder when 333 is divided by k.
1
Let s(a) = -a**3 - 7*a**2 + 40*a + 9. Calculate the remainder when s(-12) is divided by 6.
3
Let w = 657 + -290. Calculate the remainder when w is divided by 42.
31
Let v(n) = 17*n**2 - 2*n - 9. Let t be v(-4). Let y = 276 - t. Suppose -1 - 5 = -3*r. What is the remainder when y is divided by r?
1
Calculate the remainder when 194 - (30/(-9) + 2/(-3)) is divided by 58.
24
Let v = 105 + 11. Suppose -n + 2*h = h - 8, 4*n + 3*h - 67 = 0. Calculate the remainder when v is divided by ((-54)/18)/((-1)/n).
38
Let h = -737 + 1035. Calculate the remainder when h is divided by 43.
40
Let n be (-10 + 2)*(-7)/(-14). Let u = n + 6. Suppose -5*v - p = -3*p - u, -4*v = 5*p - 28. What is the remainder when 7 is divided by v?
1
Let w be (-18)/4 - (-6)/12. Let p be w/10 - 18/(-45). Calculate the remainder when 25 is divided by p + 4/(-8)*-26.
12
Let z = -1044 - -40178. Let w be 10/(-35) + z/14. What is the remainder when w/85 - (-2)/17 is divided by 17?
16
Let s(n) = -n**3 + 11*n**2 + 25*n + 24. Calculate the remainder when s(12) is divided by 62.
56
Let d(i) = i**3 - 15*i**2 + 9*i + 11. Let y be d(13). Calculate the remainder when (y/49)/((-2 - -1)/7) is divided by 8.
6
Let a = -4748 - -4780. Calculate the remainder when 4/22 + (-3063)/(-33) is divided by a.
29
Suppose 0 = 43*s - 6*s - 7511. Calculate the remainder when s is divided by 12.
11
Suppose 76*j - 48 = 72*j. What is the remainder when 15 is divided by j?
3
Let r(q) = 13*q - 2. What is the remainder when (5 + -1 + 53)*(4/(-12) - -2) is divided by r(2)?
23
Let f(u) = u - 9. Let l be f(-6). What is the remainder when 91 is divided by (l/10)/(3/(-62))?
29
Suppose -o + 4*o = v - 1, -2*v = -3*o - 8. Let z(s) = 2*s**2 - 8*s - 4. Suppose -286*i - 13 = -287*i. What is the remainder when z(v) is divided by i?
12
Let j(n) = -3*n**3 - 6*n**2 - n - 1. What is the remainder when j(-3) is divided by 12?
5
Suppose -3*d = 9, 0 = h + 2*h + 3*d - 6. Suppose -12 = -h*l + 38. Calculate the remainder when 34 is divided by l.
4
Let z(y) = 2*y**3 - y**2 + 2*y + 3. Suppose -14 + 0 = -7*u. What is the remainder when 111/((-6)/(-4) + 0) is divided by z(u)?
17
Let v = -37 + 63. Suppose 3*j - 86 = -v. What is the remainder when 78 is divided by j?
18
Let c be 1*(-4 - 12/(-4))*2. Let y(u) = -2*u + 1. What is the remainder when 19 is divided by y(c)?
4
Let f(q) = -q**2 - 22*q - 21. Let u(m) = 2*m - 8. Let h be u(-4). Let p be f(h). Let v = -36 + p. What is the remainder when v is divided by 10?
9
Calculate the remainder when 90 is divided by -4 + (0 - (2 - 52)).
44
Suppose 12 = -5*u + u. Let y(a) = -3*a - 1. Let z(d) = 2*d. Let o(f) = -3*y(f) - 5*z(f). Calculate the remainder when o(u) is divided by 2.
0
Let a = 74 - 27. Let p = -29 + a. Suppose 0 = -u - 2*u + 30. What is the remainder when p is divided by u?
8
Suppose 3*r + 4*n = 153, -4*n = -9*n. What is the remainder when r is divided by 8?
3
Let h(n) = -n**2 + 22*n - 15. Let q be h(18). Let c = -46 + q. What is the remainder when 29 is divided by c?
7
Suppose -n = -3*n - 8, 5*n + 324 = 4*r. Suppose -3*x = 19 - r. Calculate the remainder when x is divided by 5.
4
Let x be 2 + ((-18)/(-2))/3. Suppose x*g - 10 = 3*g. What is the remainder when ((-72)/(-10))/(15/50) is divided by g?
4
Suppose -2*x = -0*x - 56. Suppose -4*j + 2 = -2*q + x, 4*q - 76 = 2*j. Calculate the remainder when q is divided by 6/4*330/45.
10
Suppose 438 = 4*n - 26. Let a be (-4)/(-6) + n/6. Let s = a - 5. Calculate the remainder when s is divided by 6.
3
Suppose 0 = -2*b - 4*g + 544, -3*b + 7*b - 1076 = 4*g. Calculate the remainder when b is divided by 73.
51
Suppose -3*z - 5861 = -6746. What is the remainder when z is divided by 16?
7
Let d(f) = -f**3 - 4*f**2 - 8*f - 10. Calculate the remainder when d(-5) is divided by 28.
27
Let y(q) = 2*q**2 - 32*q - 37. Let u be y(17). What is the remainder when 44/(-16)*36*u/3 is divided by 52?
47
Let s(y) = -8*y - 12. What is the remainder when s(-14) is divided by 26?
22
What is the remainder when 33 is divided by ((-9)/3)/((-13)/39)?
6
Calculate the remainder when 83 + (0/(-3) - (8 + -5)) is divided by 33.
14
Let q(w) = -5*w + 87. What is the remainder when 145 is divided by q(10)?
34
Suppose 0 = -43*b + 40*b + 1851. What is the remainder when b is divided by 69?
65
Let d = -104 + 106. Calculate the remainder when (-396)/(-27) + d/(-3) is divided by 3.
2
Suppose -g - 3 = 0, 19 = 4*z - 5*g - 8. Suppose -135 = -z*w - 27. What is the remainder when 104 is divided by w?
32
Suppose 1073 = 5*g + 2993. Suppose -49 = -2*k + k. Calculate the remainder when k is divided by (-2)/7 - (g/21 - -5).
10
Suppose 4*y = 3*y + 2. Suppose 4*b - j = -y*j + 52, b - 3*j - 26 = 0. What is the remainder when b is divided by (4 - (-2)/(-5)) + (-2)/(-5)?
2
Suppose j - 2*h - 50 = 0, 4*j = 4*h + 116 + 76. Let q = j - 20. What is the remainder when q is divided by 16?
10
Suppose 0 = -4*l - 4, 5*j + 0*j - 167 = -3*l. Suppose -5*d = 5*c + 335, -j = 2*c - 2*d + 96. Let f = c - -99. Calculate the remainder when f is divided by 12.
9
Let s be 2/((3/9)/(246/9)). Suppose -5*h - 59 = -2*f + 33, 5*h = 4*f - s. What is the remainder when 142 is divided by f?
34
Let x(m) = m**3 - m**2 + 2*m + 34. Calculate the remainder when 134 is divided by x(0).
32
Let s(u) = u**2 + 25*u - 164. Calculate the remainder when s(7) is divided by 30.
0
Let y = -173 - -365. What is the remainder when y is divided by 49?
45
Calculate the remainder when (-969)/(-38) - 2/(-4) is divided by (-3 - -2) + (1 - -7).
5
Suppose 5*z - 5*t - 90 = 0, 37 + 39 = 4*z - 5*t. What is the remainder when 19 is divided by z?
5
Let k(n) = 3*n + 6. Let w be k(5). Let u be ((-8)/10)/(-2 - 840/(-425)). Let a = u - w. Calculate the remainder when 49 is divided by a.
10
Let y = -2118 - -2196. Calculate the remainder when 382 is divided by y.
70
Suppose -k = k - 4. Let o = -18 + 24. Suppose 