pose 3*j = -5*u + 10, -6*j = -4*j - 5*u + 35. Let k be (-6)/j - (56/(-20) - -3). Suppose -k = 16*s - 161. What is the remainder when 17 is divided by s?
7
Let u(d) = -18*d + 17. Let l be u(0). Suppose -11*p - l*p = -5208. Calculate the remainder when p is divided by 63.
60
Let j = 1224 - 1215. Suppose -2*d - 2*l + 31 = l, -3*l = -5*d + 67. What is the remainder when d is divided by j?
5
Suppose -14*m = 5*m - 912. Let g(o) = -8*o + 1. Let k be g(-2). Suppose -x = -k - m. Calculate the remainder when x is divided by 11.
10
Calculate the remainder when 8585 is divided by (-9228)/(-57) - 10/(-95).
161
Let t(y) = y**3 + 2*y**2 - 4*y - 5. Let l be t(-2). Suppose 0*s + 5*g = 3*s - 600, -l*g = -2*s + 401. What is the remainder when s is divided by 71?
63
Let o be (2/9)/(-1) + (-120)/(-54). Suppose -5*v - 48 = -o*l, 2*l = v + 18 + 22. What is the remainder when 71 is divided by l?
14
Suppose -12*a - 12843 + 13143 = 0. Calculate the remainder when 298 is divided by a.
23
Suppose 0 = -11*k + 3*k + 5090 - 1066. What is the remainder when k is divided by 246?
11
Let a(y) = -2*y**3 + 5*y**2 + 184*y - 32. Calculate the remainder when a(-10) is divided by 105.
103
What is the remainder when ((-820)/20)/(10/(-100)) is divided by 17?
2
Suppose 317*a - 930 = -2*f + 319*a, 2*f - 920 = -3*a. Calculate the remainder when f is divided by 149.
16
Let s = 9 + -24. What is the remainder when 560/3 + (-5)/s is divided by 19/((-7)/(14/(-2)))?
16
Let w(n) be the third derivative of 0*n + 7/60*n**5 - 7/6*n**3 - 7/24*n**4 + 8*n**2 + 0. What is the remainder when 139 is divided by w(-2)?
34
Let i be (-1 + 0)/(2/(-22)). Let k(n) = -28*n - i + n**2 + 34*n + 30. Calculate the remainder when 49 is divided by k(-7).
23
Let q(l) = -l**3 - 34*l**2 - 88*l + 229. What is the remainder when q(-33) is divided by 76?
68
Suppose -15*u - 29546 = -37*u. What is the remainder when u is divided by 7?
6
Suppose 2091 + 151 = 13*i - 358. What is the remainder when i is divided by 32?
8
Suppose -559*w = -475*w - 27636. Calculate the remainder when w is divided by 99.
32
Let d(p) = 146*p**3 - p**2 + 4*p - 4. Calculate the remainder when d(1) is divided by 140.
5
Let i(a) = -a**2 + 8*a - 66. Let x be i(22). Let k = x + 404. What is the remainder when 58 is divided by k?
28
Let n be -4*((-886)/12)/((-10)/(-15)). Let r = n - 403. Suppose 5*k - 115 = -0*k. What is the remainder when r is divided by k?
17
Let k(y) = 2*y**3 + 5*y**2 + 8*y + 404. What is the remainder when k(0) is divided by 17?
13
Let r(u) = -3*u**2 - 80*u - 39. Suppose 2*f = -10 - 42. What is the remainder when 77 is divided by r(f)?
12
Suppose -35086 - 69234 = -14*y - 2050. What is the remainder when y is divided by 36?
33
Suppose -36 = -3*x + 4*t, -4*x - 8 + 25 = 5*t. Suppose 0 = -x*q + q + 35. What is the remainder when 16 is divided by q?
1
Let y be 36/(-60) + 90010/(-25). Calculate the remainder when y/52*(-8)/2 is divided by 56.
53
Let i(l) = -27*l - 252. Calculate the remainder when i(-34) is divided by 53.
30
Let r(f) = -7*f + 97. Let u be 424/(-14) + (-6)/(-21). Let h = u + 49. Calculate the remainder when r(6) is divided by h.
17
Suppose -83131*v = -83165*v + 578. Calculate the remainder when v is divided by (-2 - 0) + 6 - 1.
2
Let f(o) = o**2 - 18*o + 48. Let s be f(13). Let d be (-72)/(-5) - 2/5. Let k = d - s. Calculate the remainder when 61 is divided by k.
30
Suppose -10*u - 420 = -17*u. Suppose -6*m = -3*m - u. Suppose w = 5, 2*w + 217 = 4*g - w. What is the remainder when g is divided by m?
18
Suppose -2*u - 4*v + 87 = 19, -u - 5*v = -43. Calculate the remainder when 2079 is divided by u.
7
Let s be -4 - (651/(-7) + 8). Let q = 16 + -71. Let k = q + s. What is the remainder when k is divided by 2?
0
Let s = -25250 + 25314. Calculate the remainder when 35198 is divided by s.
62
Let s(g) be the second derivative of -g**5/20 + g**4/6 - g**3/6 - 8*g**2 + g + 10. What is the remainder when s(-4) is divided by 36?
12
Let c(a) = -6*a + 465. What is the remainder when 165 is divided by c(74)?
18
Suppose 4*t - w = -4*w + 780, 0 = 5*t - 3*w - 975. Suppose 0 = 3*h - t - 12. Suppose -7*c + 4*c + h = 0. Calculate the remainder when 43 is divided by c.
20
Let g = 2237 - 2064. Let q(l) = -l**3 + 8*l**2 + 3. Let b be q(8). Suppose -b*n - 4*n = -203. Calculate the remainder when g is divided by n.
28
Suppose 0 = 10*z - 6*z - 4*f + 636, -3*z - 479 = -f. Let o = -151 - z. What is the remainder when 30 is divided by o?
3
Let k = -37855 + 37880. Suppose 0 = -b - 3*b + 376. Calculate the remainder when b is divided by k.
19
Suppose n - 66 = -42. Suppose -6*v + 180 = -n. Calculate the remainder when 100 is divided by v.
32
Suppose -70*f + 63*f + 6874 = 0. Suppose -6*p = -f + 574. Calculate the remainder when p is divided by 16.
4
Suppose 0 = 29*p - 66*p + 4375 + 1915. What is the remainder when 1523 is divided by p?
163
Suppose 924 + 1614 = 27*y. Suppose 3*l - 143 = -4*u, 5*l + 3*u = -2*u + 240. Calculate the remainder when y is divided by l.
45
Let p(c) = 4*c**2 - 234*c - 1867. What is the remainder when p(-8) is divided by 45?
36
Suppose 3 = y - 111. What is the remainder when y is divided by 3/((-220)/(-52) - 4)?
10
Let v(c) = c**2 + 6*c + 2. Let w be v(-5). What is the remainder when (-101)/w - 76/(-57) is divided by 10?
5
Let i = 2917 - 4191. Let t = 14 - -4. What is the remainder when 1/(-6) - i/12 is divided by t?
16
Let m = -37 - -39. Suppose 4*u - 260 + 44 = -m*b, 148 = 3*u - 2*b. Suppose -4*c + 21 = -35. What is the remainder when u is divided by c?
10
Suppose 55*z - 60*z = 65. Let g = z + 67. Calculate the remainder when g is divided by (-12)/30 + (-194)/(-10).
16
Let s be 30/45*(-465)/2. Let t = 161 + s. What is the remainder when 311 is divided by t?
5
Let x(u) = 2*u**2 - 9*u + 5. Let f be x(4). Suppose -i - 5 - f = 3*r, -8 = 2*i + 2*r. Calculate the remainder when i - (-54)/(-4)*(-5 - -3) is divided by 7.
3
Let o(w) = w**2 - w + 1. Suppose 192*f + 11745 = -392*f + 845*f. What is the remainder when f is divided by o(-2)?
3
Suppose 0 = 6408*w - 6496*w + 30712. Calculate the remainder when 1390 is divided by w.
343
Suppose r - 924 = -11*r. Suppose 0*d + 4*m = 3*d - 14, -d = 5*m + 27. What is the remainder when r is divided by (3 + d)*1*16?
13
Suppose 446 = 5*y + j + 24, -4*j + 344 = 4*y. Calculate the remainder when 82 is divided by (-1 + 2)*y/3.
26
Let l(u) = u**2 - 9*u + 7. Let h be 4/6 + (-76)/(-12). Let x be l(h). Calculate the remainder when 105 is divided by (-2)/x - 124/(-7).
15
Suppose 14*r + 6*r = 860. What is the remainder when 55 is divided by r?
12
Let r be (273/(-14))/13*(-40)/3. Suppose 0 = 3*w + c - r, 2*w - 4*c - 28 = -c. Let x = 7 - -8. What is the remainder when x is divided by w?
7
Suppose -73*g + 76*g + 3*q = 234, -5*q + 25 = 0. What is the remainder when 305 is divided by g?
13
Suppose -26*y - 493 = 77*y - 1935. Calculate the remainder when 1395 is divided by y.
9
Suppose 66*q = 53*q + 39. Suppose -5*r + 550 - 75 = 2*g, -112 = -r + q*g. Calculate the remainder when r is divided by 33.
31
Let x be (128/10)/(38/570). Let d = -144 + x. What is the remainder when d is divided by 27?
21
Let j = 439 - 341. Let n = j - 93. What is the remainder when (-3)/(0 - 1/7) is divided by n?
1
Let l(i) = -i**3 + i**2 - i + 1. What is the remainder when 66/(-44)*118/(-3) is divided by l(-2)?
14
Let x = -56 + 23. Let k be (4 - 291/x) + 4/22. Suppose 275 = 18*b - k*b. Calculate the remainder when b is divided by 14.
13
Calculate the remainder when 376 is divided by 56/336 - (-2252)/24.
0
Suppose -3*l = 60*s - 61*s + 65, -4*s + 206 = -3*l. Calculate the remainder when 4133 is divided by s.
44
Let p(x) = -2*x**2 - 34*x - 47. Let d = 182 - 197. Calculate the remainder when 51 is divided by p(d).
12
Let g(j) = j + 4. Let s be g(-6). Calculate the remainder when 202 is divided by 18 - (-3 + (-1 + -1 - s)).
13
Let u = 229 + -233. Let j(f) = -99*f + 107. Calculate the remainder when j(u) is divided by 12.
11
What is the remainder when 2176 is divided by (-16 - 3672/(-90))/((-4)/(-70))?
6
Suppose 3*g - 9*g + 110 = -5*g. What is the remainder when g is divided by 24?
14
Let y(g) = 2*g**2 - 21*g - 2. Let h be y(11). Let d be ((-6)/h)/(2/(-36)). Let p = d + 3. Calculate the remainder when p is divided by 9.
6
Let m = 280 + -285. Calcul