 m is divided by 12.
10
Let r(w) = 4*w**2 + 4*w + 13. Let g be -4*1*(5 + -6). Suppose 5*m = 4*l - 4 - 3, 4*m - g*l + 4 = 0. Calculate the remainder when r(m) is divided by 14.
9
Let z = 575 + -567. Suppose 26*c - z*c - 756 = 0. Let b(l) = -l**3 + 3*l**2 + 2*l - 1. What is the remainder when c is divided by b(-2)?
12
Suppose 242 = 11*u + 165. Suppose -u*j = -15*j + 512. What is the remainder when j is divided by 24?
16
Let n be 6/(-9) + 46/6. Let x(g) = -g**2 + 13*g - 8. Suppose 50*k - 159*k - 506 = -1923. Calculate the remainder when x(n) is divided by k.
8
Let k(w) = w**2 - 14*w + 11. Suppose 4*f + 5*l = 40, 4*f + 4*l = 3*l + 56. Let z = 0 + f. Calculate the remainder when 102 is divided by k(z).
24
Suppose 2036*p - 2806 = 1990*p. Calculate the remainder when 2488 is divided by p.
48
Let m(n) = n**3 - 9*n**2 - 215*n - 61. Calculate the remainder when 182 is divided by m(20).
26
Let m = -2923 - -3296. Calculate the remainder when m is divided by 125.
123
Let a = -12756 - -12853. Calculate the remainder when 228 is divided by a.
34
Suppose -2*l + 2*z = 6*z - 4, -5*z - 4 = 4*l. Let k = -4 - l. Suppose k*w - 3*w + 4*j + 47 = 0, 3*j + 150 = 5*w. What is the remainder when w is divided by 10?
7
Let s(i) = 39*i + 593. Calculate the remainder when -6*-1*(-63)/(-6) is divided by s(-15).
7
Let p(g) be the third derivative of g**4/24 + 15*g**3/2 + 54*g**2. What is the remainder when p(21) is divided by 18?
12
Let z(u) = 490*u + 1592. Calculate the remainder when z(-2) is divided by 11.
7
Let p be 5 + 38 - (0 - -7). Suppose 2*c - 64 = -p. What is the remainder when 50 is divided by c?
8
Calculate the remainder when (2/(-4))/(7/(-13580)) is divided by 12.
10
Suppose -5*d - 3*t = -456, -3*d - 9*t + 11*t + 285 = 0. Calculate the remainder when 358 is divided by d.
79
Let r = 82 + -80. Suppose r*c = 6, 0 = -2*h + 5*h - 4*c. Suppose 0 = 2*s + h*s - 150. Calculate the remainder when 93 is divided by s.
18
Suppose -965 + 2825 = 155*d. Calculate the remainder when 275 is divided by d.
11
Suppose -10*m + 106 = -8*m. Let l(s) = 51*s - 250. Calculate the remainder when l(9) is divided by m.
50
Let x = 41961 - 41737. Calculate the remainder when 287 is divided by x.
63
What is the remainder when 970 is divided by (-1 - -127)/7 + (-22)/(-2)?
13
Suppose 222*f - 4078 = 220*f. Calculate the remainder when f is divided by 13.
11
Let w(a) = 15*a**2 - 2*a - 2. Let c(r) = 2*r**2 - 43*r - 245. Let h be c(-5). Suppose 0 = -h*p - 4*p + 432. What is the remainder when w(-2) is divided by p?
8
Suppose -q = r - 94, 3*r - q - 3*q - 247 = 0. Let j be 136/32 + (22/8 - 3). Suppose 8*w - 236 = j. Calculate the remainder when r is divided by w.
29
Calculate the remainder when 54 + 9 - -2 - 8 is divided by 45.
12
What is the remainder when 3870*(4/16)/((-7)/(-28)) is divided by 44?
42
Calculate the remainder when 2122/6 + 952/(-357) is divided by 55.
21
Let z(d) = 5*d + 30. Let f be z(-6). Suppose 11*p - 25*p + 238 = f. Let i = -142 - -226. What is the remainder when i is divided by p?
16
Suppose 5*u - 6 = 5*s + u, 4*s = u - 7. Let a be s + 1/(2/(-4)) + 61. Suppose -z - 10 + a = 0. What is the remainder when 187 is divided by z?
46
Suppose 19*p = 14*p + 25. Let b = 48 - 3. Calculate the remainder when b is divided by 27 + 0/p + -3.
21
Suppose 2*z + 4*k - 26 = -28, 4*z = 30*k + 376. Let y(f) = -72*f**3 - f**2 - f. Calculate the remainder when y(-1) is divided by z.
15
Suppose -3*p + 12 = 0, 43*t = 45*t + 5*p - 694. Calculate the remainder when t is divided by 115.
107
Suppose -25 = -4*x + 5*v, -x - 5*v = 17 + 8. Let r be x - 0 - (-4 - -1). Calculate the remainder when 406/8 + 1/(-4)*r is divided by 18.
14
Calculate the remainder when 2875 is divided by 1441/9 - 84/756.
155
What is the remainder when -3*717*(60/(-720))/((-2)/(-40)) is divided by 22?
21
Let s = -58 + -55. Let q = s - -149. Calculate the remainder when q is divided by 20.
16
Suppose 18*t + 85 = 23*t. Suppose -7*q = -3*n - 266 - 428, q - n = 94. Calculate the remainder when q is divided by t.
1
Let x = 3 + 12. Suppose -3*h - 3*q = -x, -5*h + 2*q + 45 = 3*q. Suppose f + 12 = 3*s, 4*s + 3*f = 2*s + 8. Calculate the remainder when h is divided by s.
2
Let d = 13 - 5. Suppose 121*j - 104*j = -157*j + 348. Calculate the remainder when d is divided by j.
0
Let g be 24/14*8/(-80)*-35. Suppose 0 = -g*w + 380 + 262. What is the remainder when w is divided by 43?
21
Let v(o) = -o**3 - o**2 + o - 7. Let q = 183370 - 183365. What is the remainder when v(-5) is divided by q?
3
Let s(p) be the second derivative of p**5/20 - p**3/3 - p**2/2 - 36*p. Let n be s(0). What is the remainder when n*(0 - -1)*-59 is divided by 6?
5
Let m = 8647 + -8517. What is the remainder when 896 is divided by m?
116
Suppose 127*q = -12*q + 40449. What is the remainder when q is divided by 112?
67
Let l(o) = o - 44. Let z be l(-33). Let d = 191 + -79. Let j = z + d. What is the remainder when j is divided by 9?
8
Let z(d) = 2*d**2 + 3*d - 4. Let g be z(-3). Suppose -g*b = -0*b - 215. Calculate the remainder when b is divided by ((-20)/8)/((-30)/264).
21
Calculate the remainder when 43 is divided by 77/(-63)*(-1)/2*18.
10
Let a(w) = 3*w**3 + 215*w**2 + 134*w + 211. What is the remainder when a(-71) is divided by 30?
29
Suppose -1664 = -9*b + 5572. Let s = b - 373. What is the remainder when s is divided by 16?
15
Let a(d) = -8*d - 20. Let z be a(-4). Suppose -7*t = -5*t - z. Let i(j) = j**3 - 12*j**2 + 12*j - 1. Calculate the remainder when i(11) is divided by t.
4
Suppose -o - 1 = x + 6, 5*x = -3*o - 31. Calculate the remainder when 66 is divided by ((-16)/(-20))/((-184)/(-90) + o).
12
Let l(h) = -2*h**2 - 40*h + 2. Let n be l(-14). Suppose -171*c + n*c = -30. Calculate the remainder when c is divided by 11.
8
Let q(j) be the first derivative of 2*j**2 - 15*j + 44. Let o = -12 - -45. Calculate the remainder when o is divided by q(8).
16
Suppose -o + 0*r = r - 88, -5*r = 40. Calculate the remainder when 1196 is divided by o.
44
Let s = 26 - 15. Suppose 0 = -3*g - 43 + 61. Suppose 3*m + 129 = g*m. Calculate the remainder when m is divided by s.
10
Let s(m) = 21*m**2 + 9*m + 10. Let y(q) = 2*q - 8. Let g be y(4). Suppose g = i - 8 - 5. What is the remainder when s(-1) is divided by i?
9
Let x(i) = i - 19. Let o = -70 - -94. Let u be x(o). Suppose w + 254 = u*t - w, 0 = 2*t + 4*w - 116. Calculate the remainder when 153 is divided by t.
49
Suppose -39601 - 309836 = -167*g - 44161. Calculate the remainder when 7317 is divided by g.
5
Suppose -4*z - 36*i + 813 + 247 = 0, 0 = -3*z + 3*i + 705. Calculate the remainder when z is divided by 93.
52
Let g(s) = -29*s**2 - 10*s + 1. Let t(m) = -59*m**2 - 22*m + 3. Let b(h) = -9*g(h) + 4*t(h). What is the remainder when b(-1) is divided by 6?
2
Let a be 9/6 + -2 - (-27)/6. Let c(h) = 3*h**3 + 2 - a*h**2 + 7 - 2*h**3 + 15*h**2. What is the remainder when 35 is divided by c(-11)?
8
Let x(b) = 816*b**2 + 44*b + 29. What is the remainder when x(-2) is divided by 228?
13
Let y(u) = -108*u**3 - 1402*u**2 + 9*u + 4. What is the remainder when y(-13) is divided by 30?
15
Let v = -4202 - -4237. Let q(d) = 2*d - 6. Let g(f) = 6*f - 18. Let i(k) = -4*g(k) + 11*q(k). Calculate the remainder when v is divided by i(-6).
17
Let i(u) = u**2 - 8*u + 14. What is the remainder when 92 is divided by i(7)?
1
Let g(h) = 1215*h**3 - 5*h**2 + 32*h - 28. What is the remainder when g(1) is divided by 89?
57
Let r = 28 + -16. Suppose -14*f + 27056 = 5*f. Suppose 3*u = -5*u + f. What is the remainder when u is divided by r?
10
Suppose 6*p - 11 - 402 - 169 = 0. What is the remainder when 1976 is divided by p?
36
Calculate the remainder when 917 is divided by (-1)/(7/(-14)*17) - (-574)/34.
16
Let z be 4 + 0*(28/8)/(-7). Suppose 5*t - 50 = -3*g + 28, z*t = 12. What is the remainder when g is divided by 3?
0
Let t = 172 - 142. Suppose -39 = -4*k - 11. Suppose k = 5*h - 38. Calculate the remainder when t is divided by h.
3
Suppose -26 = -3*j + j. Let a(n) = -2*n**2 - 2*n + 23. Let p be a(0). Let k(v) = -v**3 + 23*v**2 + 5*v - 53. Calculate the remainder when k(p) is divided by j.
10
Suppose -2*s - 4*o + 26 = 0, 6 = -62*o + 60*o. Let f(n) = 2*n**2 - 17*n - 77. What is the remainder when f(s) is divided by 13?
10
Let q(o) = 9*o**2 + 32*o + 58. What is the 