 18186. Calculate the remainder when r is divided by 54.
51
Let c = -63 - -67. Let q(g) = -13*g + 81. What is the remainder when 142 is divided by q(c)?
26
Let z be 29 + 0 + 6*4/6. Suppose -3*n = 3*l - z, -5*l = -3*n + 50 - 1. Calculate the remainder when 34 is divided by n.
8
Suppose u - 3*x + 67 = 0, -3*u + x + 75 = -4*u. Let y = -68 - u. What is the remainder when 47 is divided by 891/36 + (y/4 - 2)?
23
Let m(c) be the second derivative of c**5/20 + 5*c**4/3 + 7*c**3/3 - 32*c**2 + 63*c - 1. What is the remainder when 60 is divided by m(-19)?
29
What is the remainder when (-2*(-1)/(-21)*144)/(3228/(-282450)) is divided by 24?
0
Let z be 40*-76*4/(-32). Suppose 21*f - 271 = z. Calculate the remainder when 152 is divided by f.
28
Let g(d) = -d**2 - 10*d + 64. Let p be g(-14). Suppose -4*j + 0*j = -56. Let z = j - p. Calculate the remainder when z is divided by 4.
2
Let p(f) = 137*f**2 + 20*f + 14. Calculate the remainder when p(3) is divided by 324.
11
Let c(o) = 5*o**2 + 19*o - 16. What is the remainder when c(4) is divided by 22?
8
Calculate the remainder when 115 is divided by -5*(-84)/((-180)/(-15)).
10
Let a(j) = -86*j - 4469. What is the remainder when 848 is divided by a(-52)?
2
Let q(v) = 21*v. Suppose h + 41 = -5*i + 26, -2 = i. What is the remainder when (h + 6 - 2)*-59 is divided by q(1)?
17
What is the remainder when 633 is divided by (10 - (-1)/(-1)*12)*-19?
25
Let k = -5355 - -5577. What is the remainder when k is divided by 58?
48
What is the remainder when 3222 is divided by 1 - (-608)/44 - 21/(693/(-6))?
12
Let r(u) = 4*u**2 + 8*u - 3. Suppose -5*t + 40 = 3*q, 2*t + 2*t + 4*q - 40 = 0. Suppose -10*l - 35 = t. What is the remainder when 86 is divided by r(l)?
28
Let q(b) = -13*b + 282. Let c be q(-14). Let a = c + -419. Suppose -2*l + l = -10. What is the remainder when a is divided by l?
5
Suppose -50 = -5*o - 35. Suppose -5*t + z + 0*z = -104, 0 = t + 5*z. Calculate the remainder when (-30)/t*(-10)/o is divided by 3.
2
Suppose 2*k = -0*k - 38. Let r = 1722 - 1742. Let j = k - r. Calculate the remainder when 2 is divided by j.
0
Let z(i) = -3*i - 54. Let y be z(-28). Suppose f = -4*f + y. Suppose 5*b - 7*s + 9*s - 38 = 0, -b - 2*s + f = 0. What is the remainder when 21 is divided by b?
5
Let y(s) = 88*s + 16. Let o be y(2). Let q = 204 - o. Calculate the remainder when q is divided by 7.
5
Suppose 3*c - 2403 = 3*r + 1662, -c - 4*r = -1365. Calculate the remainder when c is divided by 28.
13
Let k = 32 - 12. Suppose -x - 7 = 0, -3*n - 166*x + 169*x + 195 = 0. What is the remainder when n is divided by k?
18
What is the remainder when 863 is divided by 4*(-4)/(-32)*(5 + 153)?
73
Suppose 4*f - 33*f + 22620 = 0. Suppose 788*q - 376 = f*q. Calculate the remainder when 373 is divided by q.
44
Let u be 3*(-26)/15*20/(-8). Let z(v) = 5*v + 13. What is the remainder when 147 is divided by z(u)?
69
Let l(z) = 17*z + 59 - 41*z + 14*z + 12*z. What is the remainder when 247 is divided by l(-18)?
17
Calculate the remainder when 6044 is divided by (0 - -10)/(18/1053*9).
64
Let p(d) = -3*d - 2*d**3 + 2*d**2 + 10 + 4*d**3 + 0*d**3 + 5*d. Calculate the remainder when 29 is divided by p(0).
9
Let s = 335 + -96. Suppose 0*t = 14*t - 308. What is the remainder when s is divided by t?
19
Let x be 4/36*-3*6. Let o(y) = -5*y**3 - 3*y**2 - 2*y - 2. Let f be o(x). Let k = 44 - f. Calculate the remainder when 49 is divided by k.
7
Let q(l) = -18*l - 106. Let p be q(-6). Suppose -4*m - p*i = -7*m + 126, -5*i = 0. What is the remainder when m is divided by 32?
10
Let o be ((-54)/4)/(6/(-32)). Let k = -45 + o. Let b = 8 - -3. Calculate the remainder when k is divided by b.
5
Let g(f) be the second derivative of f**3/6 + 3*f**2/2 - 12*f. Calculate the remainder when 2*13*(-80)/32*-1 is divided by g(14).
14
Suppose 40 = 5*o - 5*m, o - 3*m - 1 - 7 = 0. Let r(n) = -8*n**3 - 28*n**2 + 201*n + 898. Calculate the remainder when r(-4) is divided by o.
6
What is the remainder when ((-41)/3 - (-665)/399) + 769 is divided by 370?
17
Let d(j) = -2*j**3 + 17*j**2 + 18*j - 35. Let o be d(10). Let g = 194 + o. Calculate the remainder when g is divided by 14.
11
Let m(a) = -a**3 + 26*a**2 - 164*a + 107. Calculate the remainder when 5284 is divided by m(16).
38
Suppose 0 = -2*c + 7 + 7. Let a(s) = s**3 - 8*s**2 + 8*s + 10. Calculate the remainder when 100 is divided by a(c).
15
Let j = -279 - -297. Suppose 0 = -j*i + 17*i + 3. Calculate the remainder when 7 is divided by i.
1
Let k = -403 - -574. Let s = k + -103. Suppose -3*j = -4*p - j + s, -3*p + 3*j = -57. Calculate the remainder when p is divided by 5.
0
Suppose 3*l - 4*b + 0*b + 833 = 0, -5*l - 1398 = 3*b. Let v = -250 - l. Calculate the remainder when 142 is divided by v.
26
Let p(j) = -j**2 + 34*j + 1120. Suppose 2*g - 12 = 2. Suppose 2*d - 47 + g = -k, 0 = -4*d - 4*k + 72. Calculate the remainder when p(54) is divided by d.
18
Suppose 45*o = 4*o + 615. Suppose 94 = j - 5*t, -5*j + 0*j - 2*t = -362. Calculate the remainder when j is divided by o.
14
Let b = -3902 + 4020. Calculate the remainder when b is divided by 49.
20
Suppose 0 = 2*k - 5*o - 267, -k + 522 = 3*k + 2*o. Suppose -30*w + 352 = -218. Calculate the remainder when k is divided by w.
17
Let k = 7 + 0. What is the remainder when (((-2880)/6912)/(1/(-68)))/(1/6) is divided by k?
2
Suppose -3671*t = -3670*t - 255. Calculate the remainder when t is divided by 19.
8
Let t = 52 - 1. Let b(m) = m**2 + 273*m + 9. What is the remainder when t is divided by b(0)?
6
Let d(h) = -h**3 - 8*h**2 + 15*h - 46. Let v be d(-10). Suppose -4*u + 1246 = 2*i, 12 + 8 = -v*i. Calculate the remainder when u is divided by 64.
58
Suppose -3 = -2*y - 1. Let j = y + 6. Suppose 5*b + 88*v - 60 = 92*v, 2*b + v = 24. Calculate the remainder when b is divided by j.
5
Suppose 0 = -3*a + 4*k + 126, -6*a + 10*a = k + 168. Suppose -980 = -a*f + 6370. What is the remainder when f is divided by 46?
37
Suppose -32 + 410 = 5*i - 3*w, 0 = 5*i - 5*w - 380. Calculate the remainder when 194 is divided by i.
44
Calculate the remainder when 872 is divided by (134/(-737))/(1/(-11)) + 71.
69
Let b = 139 - 93. Let g = 72 - 16. Suppose g = 3*x + 4*d - 12, 3*x - 43 = d. What is the remainder when b is divided by x?
14
Let q = 6 - 0. Suppose -335 = -q*v + v. Let c(o) = -o**3 - 24*o**2 - 77*o + 47. What is the remainder when v is divided by c(-4)?
32
Let w(p) = 10*p - 221. Let f be w(27). Calculate the remainder when 21/f - (-17625)/35 is divided by 46.
44
Let b(d) = 210*d - 1652. Suppose 0*u = -3*m + 4*u + 766, 4*u = -5*m + 1234. Calculate the remainder when m is divided by b(8).
26
Suppose -5*p + 4*g - 6*g = 7, -5 = 3*p + 2*g. Calculate the remainder when (-30)/60*-138*(p - -2) is divided by 27.
15
Let d(k) = -14*k - 331. Suppose 0*n = 4*p + 3*n - 53, n = -4*p + 63. What is the remainder when p is divided by d(-24)?
2
Suppose -5*n = -21*n - 288. Calculate the remainder when 16 is divided by (-7)/(-14)*n - -21.
4
What is the remainder when (3/(-9))/((-2)/7412) - (-228)/(-171) is divided by 40?
34
Suppose 4903 = 4*a + 4551. What is the remainder when 286 is divided by a?
22
Let u(q) = q**3 - 11*q**2 - 28. Let g be u(11). Calculate the remainder when 239 is divided by 20/70 + (-608)/g.
19
Let n(i) = 3*i**2 - 226*i + 685. Calculate the remainder when 220 is divided by n(3).
16
Suppose -5*w = 5*r - 185, -4*w + 143 = -r - 0*r. What is the remainder when w is divided by -9*(1 - (-1840)/96*(-4)/30)?
8
Let q be ((-54)/24 + 1)*4. Let m(w) = -2*w**3 - 7*w**2 - 7*w + 8. What is the remainder when m(q) is divided by 21?
13
Suppose -196*w + 151552 = 60*w. What is the remainder when 1195 is divided by w?
11
Suppose 2*f - 20 = 4*n - 220, 4*n - 214 = -5*f. Let o(k) = 2*k**2 + 4*k + 11. What is the remainder when n is divided by o(-3)?
0
Suppose 64 = d - s - 0*s, -3*d + 204 = 3*s. Let z = -1452 - -1709. What is the remainder when z is divided by d?
59
Let r(c) = -3*c + 1. Let g be r(1). Let t(q) = 51*q + 51. Let h(f) = 34*f + 33. Let x(k) = 7*h(k) - 5*t(k). What is the remainder when 35 is divided by x(g)?
5
Let v be 12487/5 + 156/260. Let d = 2523 - v. Calculate the remainder when (-1 + 1)/(-2) - -46 is divided by d.
21
Let h = -230 + 625. Suppose 0 = 3*a - w - h, -4*w + 405 = 3*a - 7*w. Suppose -232 - a = -2*k. Wha