47 is divided by q.
47
Let n(v) = -v**3 - 9*v**2 - 6*v + 25. Let m = 6 - 9. What is the remainder when m + 15*2 + -2 is divided by n(-8)?
7
Let w = -5917 - -5920. Calculate the remainder when 149 is divided by w.
2
Suppose -3*w - 3*n = n - 88, n + 130 = 4*w. Suppose d + d = w. Let r = 25663 + -25650. What is the remainder when d is divided by r?
3
Let x = -16807 - -16877. What is the remainder when 379 is divided by x?
29
Suppose 0 = c + 3*h, 158 - 88 = c - 7*h. Let n(j) = j**3 - 5*j**2 - 7*j + 7. Let v be n(6). Calculate the remainder when c is divided by 15*v - (0 - -1).
7
Let h(g) be the second derivative of 3*g**4/4 - g**3/2 - 8*g**2 + 10*g + 3. What is the remainder when h(3) is divided by 22?
12
Let b be 0 + 3 + -4 - 1. Suppose -236 + 1001 = 15*a. Calculate the remainder when a is divided by (3/b)/(9/(-156)).
25
Suppose 4*m + 4*w - 1837 = 1723, 5*m + 2*w = 4450. Calculate the remainder when m is divided by 233.
191
Calculate the remainder when 394 is divided by 5*39 + 435/(-120) + (-30)/80.
12
Let b = -43 + 53. Let p(x) = x**2 - 30*x - 429. What is the remainder when p(41) is divided by b?
2
Suppose 0 = 2*n - 3*t - 3 - 13, 59 = 5*n + 2*t. Suppose 151 = n*l - 234. What is the remainder when 172 is divided by l?
32
Let n(v) = 35*v + 17. Let w(o) = -33*o - 16. Let g(i) = -4*n(i) - 5*w(i). Calculate the remainder when 867 is divided by g(3).
84
Suppose -11*s - 3685 = -0*s. What is the remainder when ((0 + -1)*(-15 - s))/(-1) is divided by 12?
8
Let d = 300 - 294. Let h(m) = m**3 - 6*m**2 + 12*m - 7. What is the remainder when h(d) is divided by 33?
32
Suppose 26*j = 9*j - 17. What is the remainder when 0 - j/((-3)/(-159)) is divided by 14?
11
Suppose -15*s + 24*s - 10*s = -148. Calculate the remainder when s is divided by 11.
5
Calculate the remainder when (6 - 4)*((-14315)/(-630) + 4/(-18)) is divided by 23.
22
Let p be ((-14)/(-3))/((-1)/(-24)). Suppose 0 = -8*q + 12*q - p. Calculate the remainder when 529 is divided by q.
25
Suppose -4*s - 2545 = 4*s - 9449. What is the remainder when s is divided by 11?
5
Suppose 0 = 4*o + 2*f - 19441 - 3037, 2*o + 4*f = 11218. What is the remainder when o is divided by 2808?
7
Let w = 6747 + -3624. Calculate the remainder when w is divided by 71.
70
Let o(w) = w**3 - 12*w**2 - 5*w + 3. What is the remainder when 1710 is divided by o(13)?
105
Suppose 2*b + 556 = 2*d, 5*d - 4*b - 1396 = -9. Let n = d - 255. Calculate the remainder when n is divided by 9.
2
Suppose 4*v - 2*v = 6. Suppose -2*w + 10 = -v*d - 61, 0 = w + 3*d - 13. Calculate the remainder when w is divided by (-19)/((-95)/(-25))*-1.
3
Suppose 5 = -24*g + 125. Suppose 6*j = 4*f + g*j - 473, -2 = 2*j. Calculate the remainder when f is divided by 12.
10
Suppose 3*j - 56 = 1. Let u(c) = -15*c**2 + 8*c + 10. Let k(n) = -n. Let x(h) = -5*k(h) - u(h). What is the remainder when x(-2) is divided by j?
18
Suppose 4*a - 55 = -3*n + 209, -4*a = -3*n + 264. Let b = n + -32. What is the remainder when b is divided by 22?
12
Let x = -20 + 29. Let z(s) = s + 53. Calculate the remainder when z(x) is divided by 6.
2
Let s = -145 - -234. Let k = 34 + s. What is the remainder when k is divided by 25?
23
Let z(j) = -120*j**3 + j**2. Let d = -6918 - -6981. What is the remainder when z(-1) is divided by d?
58
Let d = 18235 - 17183. Calculate the remainder when d is divided by 102.
32
Suppose 0 = 11*j - 4*j - 266. Let s be 746/14 + 16/(-56). Let y = s - j. What is the remainder when y is divided by 6?
3
Suppose -13*v = -6428 + 4153. What is the remainder when v is divided by 15?
10
Suppose 378*j = 538*j - 1115200. Calculate the remainder when j is divided by 84.
82
What is the remainder when -1 - -4 - (396645/(-45) - 2/(-6)) is divided by 126?
123
Let y(x) = -x**3 - 8*x**2 - 8*x - 2. Suppose -5*r - 4*f - f = 35, 3*r = -5*f - 21. Suppose -13 = -i + 1. What is the remainder when i is divided by y(r)?
4
Suppose -20 - 460 = -12*o. What is the remainder when o is divided by 13?
1
Let d = -11115 - -11147. Let z(q) = q**2 + 2*q + 6. What is the remainder when z(10) is divided by d?
30
Let t = -178 - -180. Calculate the remainder when (-300)/(-40)*(-1 - (-5 + t)) is divided by 4.
3
Suppose -15*y + 12 = -9*y. Let d be (5 + (-45)/10)/(y/20). Suppose 4 = -j, -k = k - d*j - 150. What is the remainder when k is divided by 22?
21
Suppose 79*v - 1063 - 43 = 0. Calculate the remainder when 12191 is divided by v.
11
Suppose 6*z - 204 = 4*w + 4*z, -w - 65 = -4*z. Let f = -48 + 89. Calculate the remainder when f is divided by -3 + 106/7 - (-7)/w.
5
Suppose 166*z - 37373 = -42*z - 8461. Calculate the remainder when 269 is divided by z.
130
Let a(w) = -6*w**2 + 110*w + 1. What is the remainder when a(7) is divided by 96?
93
Let a(d) = -d + 18. Let o be a(-11). Suppose o*y + 60 = 34*y. Suppose -9 = 3*z - 111. Calculate the remainder when z is divided by y.
10
Let u = -5 + 10. Suppose -w + u*w + 136 = 0. What is the remainder when ((-70)/(-4))/(-7)*w is divided by 44?
41
Suppose 4*y = -f + 60, y = 3*f - 6 + 34. Calculate the remainder when (15/105)/(-4*(-4)/(-16))*-553 is divided by y.
15
Calculate the remainder when 195 is divided by (-6 + 5)/((-1510)/(-190) + -8).
5
Suppose 0*h - 3*h + 5*d + 378 = 0, -646 = -5*h + 3*d. Suppose -5*y - 31*t + 26*t = -190, 86 = 2*y + 4*t. Calculate the remainder when h is divided by y.
32
Let m(t) be the second derivative of 18*t + 0 + 0*t**2 - 7/12*t**4 - 1/20*t**5 + 1/3*t**3. Calculate the remainder when m(-8) is divided by 13.
9
Suppose -75*t + 2269 = -2986 + 905. What is the remainder when 505 is divided by t?
41
Suppose -c - 3*u - 457 = 0, 2*u + 31 - 1803 = 4*c. Let s = 474 + c. Calculate the remainder when s is divided by 8.
5
Let y be (-40)/24*3 - -15. Calculate the remainder when 285 is divided by (-56)/y*-7*265/106.
89
Let i = -837 - -850. Suppose -300 = i*j - 482. Calculate the remainder when j is divided by 11.
3
Suppose 0 = 6*m - 15*m + 540. Suppose -v = -q + 4 - 12, -5*v + q = -m. What is the remainder when 18 is divided by v?
5
Suppose 35*n - 11*n - 288 = 0. Let g(i) = i**2 - 16*i + 65. What is the remainder when g(n) is divided by 3?
2
Let l(g) = -g + 40. Suppose 12*u = 188 + 328. What is the remainder when u is divided by l(17)?
20
Calculate the remainder when 516 is divided by -2 + -14 - (-3968)/32.
84
Let n = 172 - 154. Let y = 459 - 282. Calculate the remainder when y is divided by n.
15
Let s = -146 - -488. Let f = 345 - s. What is the remainder when 44 is divided by f?
2
Suppose 18*b + 3325 = -3325 + 7262. Suppose -4*j = -4*m - 36, -5*m + 27 + 18 = 5*j. What is the remainder when b is divided by j?
7
Suppose -9*g + 5*k = -5*g + 57, -5*k - 21 = 2*g. Let v be (-37)/(1*1/(-1)). Let h = g + v. Calculate the remainder when h is divided by 9.
6
Suppose 0 = 5235*c - 5239*c + 3*k + 179, -4*c - 3*k + 125 = 0. Let h(z) = -z**2 + z + 143. Calculate the remainder when h(0) is divided by c.
29
Let a(f) = f**3 + 11*f**2 - 57*f + 5. What is the remainder when a(-13) is divided by 132?
12
Suppose 26*j - 2268 - 800 = 0. Calculate the remainder when j is divided by 18.
10
Let o(d) = d**3 + 42*d**2 + 417*d + 22. What is the remainder when 395 is divided by o(-17)?
79
Let z(c) = 245*c**2 - 1231*c + 56. Calculate the remainder when ((-2)/(-2))/(1/99) is divided by z(5).
21
Suppose -18*w + 1899 = -1629. Calculate the remainder when 382 is divided by w.
186
Let c(j) = -j**2 + 165*j + 5188. Suppose 5*l - 15 = 0, 89 = 5*n - l - 23. Calculate the remainder when n is divided by c(192).
3
Suppose 14*j + 125*j - j - 71346 = 0. What is the remainder when j is divided by 109?
81
Suppose -3*u - 201 = -5*j + 289, -2*u + 196 = 2*j. Calculate the remainder when 141 is divided by j.
43
Let k = 1784 + -1777. Suppose 440 = 3*t - 34. What is the remainder when t is divided by k?
4
Let f(z) = -3 - 41*z - 49*z + 0 + 101*z. Calculate the remainder when 143 is divided by f(3).
23
Suppose 5*k + u + 271 = 0, -5*u = 5*k + 305 - 30. What is the remainder when 819 is divided by -7 - ((k - -2) + 4)?
40
Let y(z) = -z**2 + 10*z - 9 - 26*z + 0*z**2 + 5*z. Let x(t) = -t**2 + 15*t - 20. Let l be x(14). Calculate the remainder when 146 is divided by y(l).
20
Suppose -o = -641*p + 642*p - 6, p + 2*o = 3. Let w = -6 - -11. Suppose w*k - 3*k + t = 61, -29 = -k - t. Calculate the remainde