3*r = 4*w + 31, 0*r + 2*w = 2*r - 18. Let q = r + 8. Suppose 0 = 4*k + 8, l + q = 4*l + k. Calculate the remainder when 11 is divided by l.
1
Suppose 71*q = 73*q + 2. Calculate the remainder when 388 is divided by q/(-2) - 1 - (-270)/20.
11
Let h be (-1)/(-4) - (-2552)/32. Suppose -h + 17 = -7*t. Let i = t - -14. Calculate the remainder when 90 is divided by i.
21
Let q(l) be the first derivative of 3*l**2/2 + 122*l - 86. Calculate the remainder when 50 is divided by q(-32).
24
Suppose 4*b = 4*s - 840, 4*b + 631 = 3*s - 0*b. Let t = s + -192. What is the remainder when 201 is divided by t?
14
Let w = 211 - 121. Calculate the remainder when w is divided by 10/(-12)*3*-12.
0
Let z(f) = 12*f**2 + 40*f + 13. What is the remainder when z(9) is divided by 40?
25
Let u(j) = -277*j - 74. Let z be u(2). Let w = 666 + z. Calculate the remainder when w is divided by 17.
4
What is the remainder when (9 - 15/(-5)) + (-3 - -117) is divided by 64?
62
Let g = -224 + 232. What is the remainder when 879 is divided by -4*g/(-16)*49?
95
Suppose 0 = 12*t + 309 + 375. Suppose -4*i = 5*y - 327, -5*y + 325 = 2*i + 3*i. Let g = t + y. Calculate the remainder when 48 is divided by g.
8
Let w be 14/(-6) + 2 + (-320)/48. Let q be 3/(-7) + 120/35. Calculate the remainder when (w/1 - -1)/((-2)/q) is divided by 4.
1
Let w(s) = 25*s - 8. Let q(x) = 26*x - 8. Let o(t) = -2*q(t) + 3*w(t). What is the remainder when o(5) is divided by 33?
8
Let k be 4*5/(20/14). Suppose 0 = n - 4*o - k - 66, -4*n + 5*o + 265 = 0. What is the remainder when 226 is divided by n?
46
Suppose -108*l = -110*l + 1564. What is the remainder when l is divided by 157?
154
Suppose -24*v + 89 = -415. What is the remainder when 101 is divided by v?
17
Let o(w) = 5*w - 15. Let z(g) = -17*g - 10. Let f be z(-1). What is the remainder when 69 is divided by o(f)?
9
Let t(s) = 5*s**2 + 3*s - 10. Let i(u) = -u + 28. Let g be i(32). Calculate the remainder when t(g) is divided by 43.
15
Let j(w) = 3*w - 25. Let a be j(10). Suppose a*b - 306 = 179. Let o = -52 + b. Calculate the remainder when o is divided by 24.
21
Let q(a) = a**3 - 7*a**2 + a - 2. Let v be (-3 + (10 - 0))*1. Suppose -3*l + 3*o = 21 - 48, 0 = -2*l + 5*o + 9. What is the remainder when l is divided by q(v)?
2
Suppose 2*d = 62 + 56. Let y(w) = -w**3 + 4*w**2 + 9*w - 34. Let h be y(4). Calculate the remainder when d is divided by (-5 - h/(-2 + 1)) + 24.
17
Let z = -9 - -28. Suppose -10*q + 8*q = -16. What is the remainder when z is divided by (q - 2)*22/12?
8
Suppose 18*z - 3434 = 184. Calculate the remainder when z is divided by 40.
1
Suppose 5*s - 41 = -2*n, 41*n + 2*s = 43*n - 34. Let b(c) = 23*c - 409. What is the remainder when 107 is divided by b(n)?
2
Let p = 52 + -22. What is the remainder when 1/((-21)/18*(-531)/123900) is divided by p?
20
Let t = 18090 + -18028. Suppose -145 = -2*l + 5*y + 209, 4*l - 2*y = 724. Calculate the remainder when l is divided by t.
58
Let w(r) = -r**3 + 8*r**2 - r - 16. Let g be w(8). Let b(a) = 4*a**2 + a + 2. Calculate the remainder when b(3) is divided by 1/((-4)/32) - g.
9
Suppose -173 = 5*d + 157. Suppose -105*l + 101*l = -q - 52, -223 = 4*q - l. Let s = q - d. What is the remainder when 28 is divided by s?
8
Let h(g) = 279*g + 2887. What is the remainder when 4476 is divided by h(-5)?
0
Suppose -55*k - 110*k + 2261 = -2194. What is the remainder when 1048 is divided by k?
22
Let b be (-83)/(-9) - 10/45. Let f = -51 + 72. Calculate the remainder when f is divided by -97*(-1)/b - (-6)/27.
10
Suppose 7*g - 2*g + 975 = 0. Let d = -152 - g. What is the remainder when 85 is divided by d?
42
Suppose 4*q - 8*q + 3*b = -2391, 0 = -5*q - 3*b + 2982. Let g = 831 - q. Calculate the remainder when g is divided by 19.
6
Suppose -126 = -5*f + 2*f. Suppose -2*a - k + 1091 = 0, -2*a + 385 = -5*k - 712. Let x = 561 - a. What is the remainder when f is divided by x?
12
Calculate the remainder when 593 is divided by -218*(14 + -23)/18.
48
Suppose -115*n + 10206 = -52*n. Calculate the remainder when 646 is divided by n.
160
Let g(i) = -i**3 + 12*i**2 - 24*i + 4. Let d(f) = f**2 - f. Let m = 4 + -5. Let q(p) = m*g(p) - 2*d(p). What is the remainder when 98 is divided by q(12)?
18
What is the remainder when 180 is divided by ((-62)/(-186))/(3 - (-1456)/(-486))?
18
Suppose 0 = -4*c + 5*c - 2. Suppose z - 4*k - 97 = 0, -c*z - 5*k - 440 = -7*z. What is the remainder when z is divided by 26?
7
Let l = 34 - 22. Suppose -208 = 38408*d - 38423*d + 227. What is the remainder when d is divided by l?
5
Let i(w) = -w**2 - 9*w + 26. Let p be i(-11). Suppose -p*g + 4*g = -10*g. Suppose 11*x - 7*x - 260 = g. Calculate the remainder when x is divided by 17.
14
Let l = -103 + 209. Suppose 2*v = 2*f + l, -6*f + 5*v = -2*f + 214. Let i = -47 - f. Calculate the remainder when 17 is divided by i.
1
Suppose 372*l + 11361 - 40005 = 0. Calculate the remainder when 531 is divided by l.
69
Suppose -34 + 169 = 45*j. Suppose j*u = -2*o + 141, -3*u + 2*o = -2*o - 159. What is the remainder when u is divided by 14?
7
What is the remainder when (-129)/(-516)*(-2192)/(-2) is divided by 6?
4
Let c(l) = -l**2 - 18*l + 4114. What is the remainder when 452 is divided by c(54)?
0
Let k(c) be the first derivative of 2*c**2 + 26*c - 70. What is the remainder when 141 is divided by k(3)?
27
Let m be (30/(-75))/((-1)/2075). Let w = m + -291. Calculate the remainder when w is divided by 30.
29
Suppose -4*i + 3 = 5*x, -4*x = 5*i - x - 7. Let q be i/(-4) + 3/(-2). What is the remainder when (2 - 1)*(53 + q) is divided by 27?
24
Suppose 0 = -2*o - 2*o + 60. Suppose 0 = 4*m + 287 - 907. What is the remainder when o is divided by (m/35 - (-4)/7) + 3?
7
Suppose 0 = 5*l - 206 - 329. Calculate the remainder when 517 is divided by l.
89
Let l = 26886 + -26826. Calculate the remainder when 1145 is divided by l.
5
What is the remainder when 2/10 - (1/14 - (-1995819)/(-3430)) is divided by 36?
6
What is the remainder when 17*106 + (3/51 - 1675/(-425)) is divided by 8?
6
Let i = 60 - 32. Let w = i + -14. Suppose -4*g + 180 = y + 3*y, -2*y = -6*g + 238. Calculate the remainder when g is divided by w.
13
Let h = -2551 - -2588. What is the remainder when 320 is divided by h?
24
Let r(k) = -k**2 - 5. Let v be r(5). Let u be (v/4)/5*2. Let m(l) = -2*l**3 - 3*l**2 - 4*l - 7. Calculate the remainder when 125 is divided by m(u).
29
Let n(o) = -8*o - 86. Let a be n(-28). Suppose -4*j = -a + 14. What is the remainder when 929 is divided by j?
30
Suppose d = v, 0 = 2*d + 705*v - 710*v + 27. What is the remainder when 6538 is divided by d?
4
Let v = -30263 + 30515. Calculate the remainder when v is divided by 74.
30
Suppose -4*q + 95 = 5*a, -4*q + 3*q - 4*a = -32. Let c = 197 + -108. Let n = c + -55. What is the remainder when n is divided by q?
14
Suppose 6*w = -233 - 667. Let z = -81 - w. Suppose -3*f - 3*s + 58 = 2*s, 4*f + 5*s = z. What is the remainder when f is divided by 7?
4
Suppose 15*d - 769 = 16*d. Let u = d + 852. What is the remainder when u is divided by 14?
13
Let c be 2/(-11) - 1343/(-187). Let d(s) = 6*s - 40. Let l be d(c). Calculate the remainder when 34 is divided by -4*(l + -3) - 0/1.
2
Suppose 116*c = 1063234 - 1062190. Suppose 0 = -5*h - 0*h + 10. Calculate the remainder when c is divided by h.
1
Let d = 15 + -72. Let j(k) = k**2 - 8*k + 5. Let i be j(5). Let g = i - d. What is the remainder when g is divided by 16?
15
Let d(p) = -78*p - 436. Suppose -34*t - 180 = -4*t. Let b(c) = 2*c**2 + c - 3. What is the remainder when d(t) is divided by b(-3)?
8
Suppose -2*l + 4 = 5*o, o = 4*l + 10 + 4. Let b = -917 + 948. Let t = b - l. Calculate the remainder when t is divided by 23.
11
Let v(o) = -7*o**3 - 80*o - 264. What is the remainder when v(-4) is divided by 37?
23
Let o(w) = w**2 - 91*w + 1775. Calculate the remainder when 1528 is divided by o(28).
10
Suppose -2*d + 448 = -2*t, -1672 + 556 = 5*t - 3*d. Let w = t + 357. Let b = 13024 + -12978. Calculate the remainder when w is divided by b.
43
Suppose -94*t + 98*t - 320 = 0. Calculate the remainder when 263 is divided by t.
23
Let r(z) = 786*z**2 + 114*z - 114. What is the remainder when r(1) is divided by 37?
9
Let c = -307 + 312. Suppose 0 = -3*d - c*v + 191, -d - 6*v = -2*v - 73. Calculate the remainder when 67 is div