by j.
10
Suppose -4*l - 5*g = -2*g - 1, -5*l + 3*g = 19. Let v be l*1*103*6/(-6). Suppose 4*a = -v + 734. What is the remainder when a is divided by 17?
13
Let j = 5495 - 5285. Calculate the remainder when j is divided by 73.
64
Suppose 7*v + 8778 = 13*v. Suppose 5*x + 3*a - v = 0, -494 = -2*x - 4*a + 94. What is the remainder when x is divided by 21?
19
Let s = 223 - 144. Suppose -u + 3*x - s = -6*u, 5*x = -10. What is the remainder when 4/(3*10/195) is divided by u?
9
Suppose 3253 = -28*y + 3929 + 8088. What is the remainder when 316 is divided by y?
3
Let t = 25548 + -25489. Calculate the remainder when 930 is divided by t.
45
Suppose -2*x - 9*x = -2772. What is the remainder when 185 is divided by (69/12 + -5)/(3/x)?
59
Calculate the remainder when (-33900)/(-102) + 24/(-68) is divided by 40.
12
Let i(m) = -2*m + 2. Let l = -492 + 484. Let h(x) = 34*x + 276. What is the remainder when i(-2) is divided by h(l)?
2
Suppose 5*v + 4*c = 336, -8*c + 13*c = -4*v + 258. What is the remainder when 299 is divided by v?
11
Let d = -1941 + 2017. What is the remainder when 234 is divided by d?
6
Let p(r) = -5*r**2 - 1 - 17*r**2 + 2*r**2 - r - 2*r**2. Let t be p(-1). Calculate the remainder when 6/(-4) + (-1705)/t is divided by 11.
10
Suppose 128 = 2*f - 2*l, 5*l = 3*f - 313 + 125. What is the remainder when 1652 is divided by f?
2
Suppose 3*q + 26 = 32. Calculate the remainder when 29 is divided by 5 + (0*q/(-8) - -5).
9
Let v = 3110 + -3082. What is the remainder when 531 is divided by v?
27
Suppose 2*i = -i + 9. Suppose -z + 81 = i*s - 8, 2*s - 5*z - 48 = 0. Suppose 26*y - 323 = 7*y. What is the remainder when s is divided by y?
12
Let h(p) = p**3 - 2*p**2 + 11*p + 363. Let l be h(0). Let u = l + -344. Calculate the remainder when 169 is divided by u.
17
Let n(f) = -56*f**3 - 3*f**2 - 71*f - 69. What is the remainder when 991 is divided by n(-1)?
1
Let b(g) be the first derivative of g**2/2 - 7*g + 32. Suppose 5*r - i - 270 = 0, 4*r = r + i + 164. What is the remainder when r is divided by b(21)?
11
Suppose -12*o + 4*o = -2368. Calculate the remainder when o is divided by ((-4)/(-6))/(14*12/2268).
8
What is the remainder when 32753/91 - (-33)/429 is divided by 198?
162
Let m = -21588 - -21938. Calculate the remainder when 22049 is divided by m.
349
Suppose -2*q = -13 - 13. Let f = -4252 + 4403. Calculate the remainder when f is divided by q.
8
Let a(b) = 9*b**2 - 33*b - 33. Calculate the remainder when a(-7) is divided by 107.
104
Suppose -o - 373 + 1054 = 5*l, 5*o + 431 = 3*l. Let h = -114 - -120. Calculate the remainder when l is divided by h.
5
Let b(h) = h**3 + 3*h**2 - 3*h + 9. Let p be b(-4). Suppose p*i + 1 = -2*s, 4*i + 6 - 13 = s. Calculate the remainder when 30 is divided by ((12 - -1) + i)/2.
2
Suppose 269 = 3*h - 2*f, -20 = -462*f + 458*f. What is the remainder when 1478 is divided by h?
83
Let l = 153 - 87. Let r(t) = 8*t - 50. Let m be r(5). Let i(y) = 4*y + 54. Calculate the remainder when l is divided by i(m).
10
Let q(u) = -u**3 - 37*u**2 + 38*u + 93. Let a = 7 + -45. Calculate the remainder when q(a) is divided by 5.
3
Suppose 63 = -33*n + 1284. Let k = -228 - -452. Calculate the remainder when k is divided by n.
2
Suppose -4*j = -f - f - 528, 2*j = -3*f + 256. Let u(g) = -g**2 + 376*g + 2325. Calculate the remainder when j is divided by u(-6).
32
Suppose 25 = 5*s, 162*t = 159*t + 3*s + 10233. What is the remainder when t is divided by 569?
2
Let k be (-32)/80 - ((-2)/5 - 2). Suppose 4*i = -5*n + 259, -k*n - 5*i = -49 - 58. Calculate the remainder when n is divided by 9.
6
Let x be (-62)/7 - (-3)/(-21). Let t(f) = f**2 + 4*f + 102. Calculate the remainder when t(x) is divided by 50.
47
Suppose 0 = -4*i + 6*i + 3*b - 52, -5*i = -3*b - 172. Calculate the remainder when i is divided by (-3)/((-24)/40) - -18.
9
Suppose -58*f + 28*f - 1254 + 4014 = 0. Calculate the remainder when 5611 is divided by f.
91
Let l be (72 + -14)*(-2)/(-4). Let k = 45 - 21. Let g = l - k. What is the remainder when 13 is divided by g?
3
Let m(v) = 13*v + 17*v**2 + 0*v**3 - 3*v**3 - 38 + 2*v**3 + 28*v + 42. Calculate the remainder when 120 is divided by m(19).
59
Let o(f) = f**2 - 5*f - 8. Let u(w) = 20*w + 1822. What is the remainder when u(-85) is divided by o(8)?
10
Suppose -4*n = b - n + 32, -5*b + 4*n - 236 = 0. Let v = b + 62. Calculate the remainder when 52 is divided by v.
16
Let x(a) = 3*a**3 + 158*a**2 - 67*a - 53. What is the remainder when x(-53) is divided by 63?
59
Let g(r) = -r**3 - 26*r**2 + 23. Let b(i) = -7*i + 25. What is the remainder when b(-4) is divided by g(-26)?
7
Let z(v) = -5*v**2 + 4*v - 10. Let x be z(-8). Let m = x - -754. Suppose -6*y = y - m. Calculate the remainder when 164 is divided by y.
52
Let u be 21/(-14)*50/(-3). Suppose -9 = u*c - 28*c. Suppose i - 15 = -z, -6*i + 2*z = -3*i - 35. What is the remainder when i is divided by c?
1
Let v = 1456 + -997. Let p = v + -340. What is the remainder when p is divided by 62?
57
Let y be (-452)/2*(0 + -1) + -2. Let m = y - 213. Calculate the remainder when 64 is divided by m.
9
Let p(r) = -168*r + 3006. Calculate the remainder when p(17) is divided by 33.
18
Let g be -1 - -151 - (30 + -23). Suppose -2*r = -29 - g. Calculate the remainder when r is divided by 4.
2
Suppose -31*t + 10359 - 9739 = 0. What is the remainder when 3355 is divided by t?
15
Suppose 8740 = 375*b - 299*b. What is the remainder when b is divided by 10?
5
Let b = 3327 - 1151. What is the remainder when b is divided by 66?
64
Suppose 8*d = -4*l + 9*d + 1383, 327 = l - 4*d. Suppose -11*y + 137 = -l. What is the remainder when y is divided by 18?
8
Let f = 399 - -17. Suppose 3*c = q + 29 + 33, 0 = 3*q + 6. Suppose 7*i + f = c*i. What is the remainder when i is divided by 12?
8
Suppose -13*o + 262 + 24 = 0. Let m = o - 14. Suppose -3*u + 594 = m*u. What is the remainder when u is divided by 28?
26
Suppose -2*d - 55 = -4*d + 5*v, 4*d + v = 165. Suppose 0 = u + 3*i - 17, -4*u + 82 = 3*i + 2*i. Calculate the remainder when d is divided by u.
17
Suppose 2*q - 4*q - 14 = -3*g, -g + 16 = 5*q. Suppose -68 = -g*n + 4*n. Suppose n + 6 = 5*r. What is the remainder when r is divided by 4?
0
Let k(o) = 2*o**3 - 7*o**2 - 5*o - 19. Let n be k(7). Let d = n - 236. Calculate the remainder when 157 is divided by d.
51
Suppose 9*x - 20*x + 9*x + 1750 = 0. Calculate the remainder when 2629 is divided by x.
4
Let q = 11098 - 11077. What is the remainder when 192 is divided by q?
3
Let k = 10213 - 10024. What is the remainder when k is divided by 160?
29
Let i(k) = 11*k - 147. Let r be i(16). Suppose -2*b + r = -17. Calculate the remainder when 84 is divided by b.
15
Suppose -5*n = -c - 459, -2*c - 15*n - 926 = -17*n. Let f = c + 475. Calculate the remainder when f is divided by 8.
3
Suppose -5 = m - 15 - 53. Calculate the remainder when 686 is divided by m.
56
Let q = 477 - 475. Suppose q*d + 105 = 17*d. What is the remainder when 39 is divided by d?
4
Suppose 0 = r - 42 - 54. Let c = 404 - 642. What is the remainder when r is divided by (-96)/(-528) + c/(-22)?
8
Suppose c - 2*b = -6, -2 = -2*c + 3*b - 11. Suppose -2*m - t + 0*t + 60 = c, 0 = 2*m - 3*t - 44. Calculate the remainder when 37 is divided by m.
9
Let b = -48 - -93. Let n(t) = 9*t**2 + 366*t - 856. What is the remainder when n(-43) is divided by b?
2
Let z(r) = -2*r**3 - 25*r**2 - 5*r + 336. Calculate the remainder when z(-17) is divided by 9.
7
Let k = 13 + 12. Let x(p) = 312 - 122*p - 24*p + 32*p - 55*p + 547. Calculate the remainder when k is divided by x(5).
11
Let y be (0 - 7)*(-7)/(-56)*8. Let f(l) = l**3 + 6*l**2 - 12*l - 9. Calculate the remainder when 225 is divided by f(y).
17
Let i(c) = -36*c - 117. Let h be i(-11). Let d = h + -227. Calculate the remainder when d is divided by 8.
4
What is the remainder when 150 is divided by 24*(7*(-10)/(-105))/((-12)/(-9))?
6
Let y(z) be the third derivative of z**4/8 + 25*z**3/3 + 38*z**2. Let d be y(-18). What is the remainder when (-1414)/(-42) - d/(-6) is divided by 4?
1
Suppose m - 38 = -3*z, 0 = 4*m + 5*z - z - 112. Let w be 1/(-1*3/39). Let i = w - -57. Calculate the remainder when i is divided by m.
21
Suppose 8*v - 296 = 424. Suppose -3*s + 270 = 9*c - 10*c, 0 = s + 2*c - v. What is the remainder when s is divided by