the remainder when a is divided by 19 - (1 + (-3 - p)).
11
Let o(i) = -7*i**2 - 10*i + 192. Let y(u) = -3*u**2 - 5*u + 96. Let d(v) = 2*o(v) - 5*y(v). What is the remainder when 155 is divided by d(10)?
47
Suppose -1321 - 2228 = -21*n. Suppose 6*j - n = -109. Calculate the remainder when 24 is divided by j.
4
Suppose 0 = 2*l + n - 8 - 6, -2*l + 3*n = -14. Let p = 57 + -57. Suppose d - 5*d + 68 = p. Calculate the remainder when d is divided by l.
3
Let z be (-32)/(-11) + 3/33. Calculate the remainder when 13 is divided by 1*z - 6*(4 + -5).
4
Suppose -4 = -2*d - 0. Let f(n) be the second derivative of n**4/4 + n**3/2 - n**2 - 76*n. Calculate the remainder when 78 is divided by f(d).
14
Let f = -4259 + 4262. Let q(z) = z**2 + 6. Suppose 0 = -5*a - 0*a. What is the remainder when q(a) is divided by f?
0
Suppose -90*g + 287886 = -123864. What is the remainder when g is divided by 508?
3
Suppose 28*k + 231 - 431 = 1592. What is the remainder when 1145 is divided by k?
57
Let f(i) = 0*i**2 + 1 - i**2 - 6*i - 6 + 13*i. Suppose 1021*t = 1030*t - 180. What is the remainder when t is divided by f(5)?
0
Suppose -5*o = -12*q + 15*q - 135, 0 = -2*o - 3*q + 63. What is the remainder when 469 is divided by o?
13
Suppose 66*y - 7752 = 47*y. Calculate the remainder when y is divided by 112.
72
Suppose -112 = 3*v - 28. Let q be (-26)/(-14) + -2 - 4/v. Suppose 3*r + r = 4*n - 44, q = 3*n + 5*r - 41. What is the remainder when 78 is divided by n?
6
Suppose -926*u + 950*u - 6384 = 0. Suppose -3*c + 277 = 2*c + s, -5*c + 3*s = -269. What is the remainder when u is divided by c?
46
Let n be (-2 - -4) + -1 - (2 + -17). Suppose 2*z + 154 = n*z. Calculate the remainder when (z/2)/((-6)/(-36)) is divided by 9.
6
Let n(y) = -y**3 + 25*y**2 - 111*y - 21. Calculate the remainder when n(7) is divided by 29.
26
Let b = -66 + 71. Suppose 0 = -2*u + b*c + 8, -u - 2*c = -7*c - 4. Suppose -179 = -u*p + 1. Calculate the remainder when p is divided by 16.
13
Let b(r) = -2*r**2 - 8*r + 53. Let o be b(8). Let v = o - -150. Suppose -5*h + 1 = 3*x, h + 27 = 5*x + 3*h. Calculate the remainder when v is divided by x.
4
Let a(o) = 3*o**2 + 6*o - 19. Let r = 17 + -13. Calculate the remainder when a(4) is divided by r.
1
Suppose 3 = -3*d + 5*n + 27, 0 = d + 4*n - 8. Let i be 10/(2/(-4 - -2)). What is the remainder when (16/i)/(4/(-30)) is divided by d?
4
Let i(q) = q**3 - 7*q**2 - 5*q + 1. Let r be i(3). Let j = r - -64. What is the remainder when 110 is divided by j?
12
Let x(d) = 52*d - 3178. Let b(q) = 225*q**2 - q + 2. Calculate the remainder when b(1) is divided by x(62).
42
Let h = 1924 - 1910. Calculate the remainder when 263/6 - 1/(-6) is divided by h.
2
What is the remainder when 315 is divided by -1*3/(-7) - 16600/(-140)?
77
Calculate the remainder when 1086 is divided by (-6)/3 + 354 + 8.
6
Let j(u) = -u**2 + 7*u + 2. Let g be j(0). Suppose -3*f = -0*a + 5*a - 84, g*a + 140 = 5*f. Calculate the remainder when 447 is divided by f.
27
Suppose 656 = 10*v + 6*v. Let h(g) = -g**3 - 7*g**2 + 8*g + 19. Calculate the remainder when v is divided by h(-8).
3
Let s(i) = i**3 + 2*i**2 - 30*i + 26. Calculate the remainder when 400 is divided by s(6).
132
Suppose -4*p + 4*f + 488 = 0, 97 = -p + 3*f + 217. What is the remainder when p is divided by 28?
11
Let p = 200 + -47. Let g = -109 + p. Suppose -8*y = -3*y + 4*f - 64, 84 = 5*y - f. What is the remainder when g is divided by y?
12
Suppose -4 - 8 = -4*q. Suppose 0*c + q = -2*c - 3*h, -5*c + 20 = 2*h. Suppose c*p - 8 = 4*p. Calculate the remainder when p is divided by 2.
0
Let c = 81 - 92. Let l(z) = z**2 + 12*z + 7. Let j be l(c). Let g(v) = -v**3 - 4*v**2 - 4*v - 15. What is the remainder when 6 is divided by g(j)?
0
Let f(w) = w**3 + 23*w**2 + 47*w + 391. Calculate the remainder when f(-21) is divided by 31.
7
Suppose 18*b - 13*b - 532 = 3*v, 4*b + 3*v - 458 = 0. What is the remainder when 10778 is divided by b?
108
Let u(v) = 3*v**2 - v + 35. Let d(y) = 5*y**2 - y + 69. Let q(z) = 4*d(z) - 7*u(z). Calculate the remainder when 4 is divided by q(7).
1
Suppose -4*c - 286 = -3*f + 607, -5*f - 3*c = -1527. Calculate the remainder when f is divided by 3.
0
Let p be (330/(-8))/((-24)/256). Suppose -12*x = -p + 128. What is the remainder when x is divided by 10?
6
Suppose 2240 = 13*f + 121. Suppose 158*u = f*u - 1045. What is the remainder when u is divided by 55?
44
Let f(w) = 5*w**3 - 30*w**2 - 34*w + 9. Calculate the remainder when 15/6*-1*-50 is divided by f(7).
13
Let r(l) = -3*l**2 - 58*l + 21. Suppose -349 = -2*g + g - 4*p, 359 = g - p. What is the remainder when g is divided by r(-19)?
37
Suppose -4*w + 42 = 5*j, -2*w - 35*j + 32*j = -22. Suppose -w*t = -4*t + 3*z - 100, 3*z = -3*t + 72. What is the remainder when 93 is divided by t?
9
Let p = 1196 - 1125. What is the remainder when 222 is divided by p?
9
What is the remainder when 238 is divided by (-5244)/(-414) + 2/6?
4
Calculate the remainder when (-76 - -31)/(-90)*(2137 - 1*-1) is divided by 174.
25
Let q(u) = u**3 + 17*u**2 + 35*u + 28. Let y be (-42)/(-56) - 59/4. Calculate the remainder when q(y) is divided by 44.
38
Let t = -134 - -139. Suppose o = -5*f + 44, -2*o + 73 = t*f - 10*f. Let q = 17 + -6. What is the remainder when o is divided by q?
6
Let m(i) = 110*i + 533. What is the remainder when m(2) is divided by 188?
1
Let s(h) = 3*h - 45. Let r be (-1)/(-2)*-4 + 21. Let f be s(r). What is the remainder when (4 + 15/9)/(1/f) is divided by 24?
20
Let n be 1 - -72 - (15 + -15). Suppose a - 4*l = n, -3*a - a = -5*l - 281. Let o(j) = -11*j + 102. Calculate the remainder when a is divided by o(6).
33
Suppose 491*f = -490*f + 990*f - 2061. What is the remainder when f is divided by 29?
26
Suppose 0 = 23*l - 13*l + 70. Let i(p) = 3*p + 31. Calculate the remainder when i(l) is divided by 9.
1
Let u(i) = -12*i - 29. Let y be u(-22). Let v = 360 - y. What is the remainder when v is divided by 14?
13
Let l(w) = 6*w**2 - 3*w + 2. Let s be l(1). Suppose -40 = s*n - 585. What is the remainder when n is divided by 28?
25
Let g be 40/24 - 98/(-6). What is the remainder when g/12*114/9 is divided by 7?
5
Suppose -4*i - 112 = -2*z, -152 = -4*z + 216*i - 220*i. What is the remainder when 3296 is divided by z?
40
Let b = 780 + -762. Suppose 21*x - b*x - u - 79 = 0, 41 = x - 4*u. What is the remainder when 214 is divided by x?
14
Let j be 3/(3 + 147/(-56)). Let x(g) = g + 42. What is the remainder when 95 is divided by x(j)?
45
Suppose 0 = g - 94 - 20. Let c = -4844 + 4887. Calculate the remainder when g is divided by c.
28
Suppose -j + 4*y = -346 - 611, 2*y = 2*j - 1950. What is the remainder when j is divided by 61?
5
Suppose 116*n - 113*n + 153 = 15*b, 0 = -5*b - n + 49. Suppose -g + 16 = -5*g. Calculate the remainder when (-1)/g - (-453)/12 is divided by b.
8
Let z(w) = -394*w + 18 - w**2 + w**3 + 17 + 393*w. Calculate the remainder when z(0) is divided by (-5)/1*((-104)/20 + 4).
5
Let r(l) = -2*l**3 + 8*l**2 + 24*l + 17. What is the remainder when 253 is divided by r(-3)?
40
Suppose 8*n = 13*n - 10. Suppose 3*u - 7 = 2*y - y, 5*u + n*y = 30. Suppose -u*p + 5*p = 23. Calculate the remainder when 67 is divided by p.
21
Let b(k) = -426*k**2 + 1784*k - 1. Calculate the remainder when b(4) is divided by 8/(50/16 + -3).
63
Calculate the remainder when 540 is divided by 8 + (116/2)/(30/270).
10
Let t(y) = -3*y + 6. Let m be t(8). Let c = -8 - m. Suppose 0 = 4*d + 25 - 37, 4*d = -5*g + 257. Calculate the remainder when g is divided by c.
9
Let b be 12/28 - 1560/(-35). Let i be (-30)/b*3/2. Calculate the remainder when 2/5*i - 688/(-20) is divided by 7.
6
Suppose 2*a - 2*d = -0*d + 368, 5*d = -3*a + 584. Calculate the remainder when 245 is divided by a.
57
Let q be (-116)/(-3)*(-120)/(-80). Suppose 121*u = 123*u - q. Calculate the remainder when u is divided by 11.
7
Let s(i) = -4*i - 46. Let u be s(-12). Suppose -n = -u*t + 5*t - 24, -5*n = 15. What is the remainder when 3/2 + 0 + (-125)/(-10) is divided by t?
5
Let z be (0 + 1)*0 + -15 + 18. Suppose 4*i + z = -5*k + 7, 2*i = 5*k + 2. Calculate the remainder when 61 is divided by 1 + 9 + 2 + (-3 - k).
7
Suppose 27 = 5*b - 3. Let p be (6/(-5))/(b/(-40)). Suppose 432 = -p*u + 12*u. Calculate the remainder when u is divided by 37.
34
Let p(v) = v +