is the remainder when (-1020)/(-34)*(0 - 32/r) is divided by 20?
16
Let n = 4364 + -4321. Calculate the remainder when 296 is divided by n.
38
Let z be -1*3*2/6. Suppose 3*y - 8*y + 13 = -k, y - 17 = 5*k. Calculate the remainder when 9 is divided by (y + z + 0)*5.
4
Let j = 647 - 638. Suppose j*a - 19 = 17. Calculate the remainder when 22 is divided by a.
2
Let a(y) = -4*y + 951. Calculate the remainder when 4877 is divided by a(166).
285
Let d(v) = -3*v**2 + 9*v + 38. Let w be d(-3). Let t(s) = -s**3 - 16*s**2 - 2*s - 29. Calculate the remainder when 23 is divided by t(w).
2
Suppose 14*f - 461 = 169. Suppose h + 0*y + 3*y - f = 0, 5*h + 4*y - 170 = 0. Calculate the remainder when h is divided by 8.
6
Suppose 22*c = -c - 3*c + 62244. Calculate the remainder when c is divided by 100.
94
Suppose -99 = -4*z - 5*z. Suppose 9*w = z*w - 174. Let n = w - 49. What is the remainder when n is divided by 8?
6
Let x be (-5 - 910/(-7)) + 5. Suppose 0 = 8*n - 782 - x. Calculate the remainder when n is divided by 60.
54
Let o(q) = 8*q + 34. Let l(d) = -d**2 + 19*d - 81. Let s be l(13). Calculate the remainder when o(s) is divided by 1.
0
Let d(b) = -b**3 + 6*b**2 - 5*b - 1. Let k be d(5). Suppose 2*p = 100 - 4. Calculate the remainder when p is divided by 1/(2/(35 + k)).
14
Let v = -20 - -5. Let c be 10/v*54/(-4). What is the remainder when 51 is divided by (-2)/c - (-224)/36?
3
Let z = -82 - -260. What is the remainder when z is divided by -45*((-224)/(-21))/(-8)?
58
Let p(n) = n**3 - 18*n**2 + 15*n + 41. Let l be p(17). Suppose l*z + 204 = 8*z. Calculate the remainder when z is divided by 23.
20
Suppose -37*j = -35*j - 5*a - 4332, 5*j + 34*a = 10458. What is the remainder when j is divided by 154?
144
Suppose 19*n + 39476 = 105*n + 8946. What is the remainder when 2500 is divided by n?
15
What is the remainder when 1716 is divided by -13 + (11 - 10) - -56?
0
Let s = -26609 + 26625. Suppose -4*h - 356 = -8*h. What is the remainder when h is divided by s?
9
Let o = -2184 + 2185. Calculate the remainder when 278 is divided by o.
0
Suppose 5*f - 5*g = 20, 0 = -2*f + 3*g + 9. Suppose -f*v + 10 = 2*v. Calculate the remainder when v/(-5) - 320/(-50) is divided by 1.
0
Suppose -10*u = -33*u + 2806. Calculate the remainder when 622 is divided by u.
12
Let r(w) = w**2 + 3*w + 12. Let l be r(-3). Calculate the remainder when 2673/36 + (-15)/l is divided by 38/(-3)*3/(-2).
16
Suppose -3*y = 2*t - 68, 3 = t - 2*y - 17. Suppose m + 6*c = -6*c + 7*c + 61, 66 = 6*c. Calculate the remainder when t is divided by m.
4
Suppose 195*p - 191*p - 76 = 0. Suppose -k + 3*s + p = 0, -5*s = 12*k - 14*k + 43. Calculate the remainder when 105 is divided by k.
3
Suppose 82*h - 85*h = -30. Suppose 5*f - f = 176. Calculate the remainder when f is divided by h.
4
Let n(s) = -18*s - 1182. What is the remainder when n(-86) is divided by 16?
14
Let v = 33 - 28. Suppose 0 = 3*f - 2*f - v. Suppose f*o = 2*k - 11, 4*o - o - 9 = 0. What is the remainder when 51 is divided by k?
12
Let v(i) = 63*i + 1430. What is the remainder when 2751 is divided by v(-21)?
76
Let w = 1412 + -826. Suppose -47*g + 683 = -w. What is the remainder when 294 is divided by g?
24
Suppose -6*h + 4 = 10. Let g be (h/3)/((-3)/522). Suppose -g = -7*d + 5*d. Calculate the remainder when 202 is divided by d.
28
Let u = -67 + 80. Suppose 2*v + 3 = -c, 3*c - 8 = v + 11. What is the remainder when u is divided by c?
3
Let a = -141 + 217. Let o = a + -62. What is the remainder when 153 is divided by o?
13
Suppose -50993 = -5*k + p, 0 = 4*k - 3*p + 1910 - 42722. What is the remainder when k is divided by 50?
47
Let b = 86841 + -86762. Let v = -3 - -138. What is the remainder when v is divided by b?
56
Let a = -229 + 232. Suppose 5*o - n = a*n - 2, -2*n + 2 = -2*o. What is the remainder when 11 is divided by o?
1
Let f be 1110/(-148)*1/((-6)/8). Let t(q) = -q**3 + 11*q**2 + q - 42. Calculate the remainder when t(f) is divided by 18.
14
Let l be (7 - 4) + (-1292)/(-2). What is the remainder when (-75)/18 + 4 + l/6 is divided by 16?
12
Suppose -2*m = -m - 195. Let a = 319 - 279. Calculate the remainder when m is divided by a.
35
Suppose -10*y = -17*y - 1610. Let v = -225 - y. Calculate the remainder when v is divided by 1.
0
Let q(b) = b + 41. Let j be q(0). Let x(v) = 3 + 16*v + 40*v + 10*v - j*v. What is the remainder when 54 is divided by x(1)?
26
Let k(j) = -j + 5. Let d be k(1). Suppose s = -3*y + 25, d*y = 5*s + 29 + 17. Suppose -309 - 969 = -y*p. What is the remainder when p is divided by 29?
26
Suppose 3*f = -5*p + 11 + 80, 3*p - 2*f - 47 = 0. Suppose 4*h = -0*h + 2688. Suppose -3*k - 11*k = -h. What is the remainder when k is divided by p?
14
Suppose -5*s - 5*z = -2*s - 182, z - 271 = -4*s. Let o = s + -90. Calculate the remainder when -2*(-7)/(o/(-6)) is divided by 2.
0
Let f be (-6)/(-15) - 1/((-15)/(-246)). Let l be f/12*15/(-10). Suppose -4*z + 59 = -j, -72 = -l*z - 3*j - 25. What is the remainder when 79 is divided by z?
15
Suppose 5*d = 18*h - 13*h + 140, 4*d = -h + 102. Suppose 15*r + 176 = d*r. Calculate the remainder when 30 is divided by r.
14
What is the remainder when 863 is divided by ((-73)/4*-6)/(67/134) - 7?
15
Let q(s) = 8*s + 1. Let b be (-12702)/(-145) + (-2)/(-5). Let n = b + 9. What is the remainder when n is divided by q(6)?
48
Let k = 30 - 234. Let f = k + 141. Let u = f + 109. Calculate the remainder when u is divided by 17.
12
Let g be (-848)/(-176) - 2/(-11). Suppose 655 + 55 = g*j. Calculate the remainder when j is divided by 24.
22
Let f(a) = -a**3 - 4*a**2 + 2*a - 7. Suppose -7653 = 5*n + 4*s - 7662, 3*s = -5*n + 18. What is the remainder when n is divided by f(-5)?
1
Let r(w) = w**2 + 2*w - 75. Let a be r(-9). Suppose x + 31 = 88. Calculate the remainder when 72 is divided by (-4 - 4)*x/a.
34
Let v(b) = 3*b**3 + 2*b**2 - b + 82. What is the remainder when 182 is divided by v(0)?
18
Suppose -2*u + 130 = -4*l - 166, 2*l - 728 = -5*u. Let z = 6 - -15. Calculate the remainder when u is divided by z.
20
Suppose -816 = -5*u - 7*u. Let h(x) = -21*x - 21. Let p be h(-5). Suppose -p = -o - 6*o. Calculate the remainder when u is divided by o.
8
Let x = 431 - 402. Let p(m) = -m**3 + 27*m**2 + 59*m - 3. What is the remainder when 50 is divided by p(x)?
24
Let p = -307 + 617. Suppose -305*z + p*z = 715. Calculate the remainder when z is divided by 12.
11
Suppose -3*c = -4*r + 60 - 86, -4*c + 18 = 3*r. Let k(q) = q**2 - 19 + 0*q**2 + 4*q - 3*q. What is the remainder when k(c) is divided by 4?
3
Let h be (-2)/((2 + 2/(-4))/(-3)). Suppose 5*s - b + 21 = 0, -5*s + h*b - 8 = 1. What is the remainder when 72 is divided by (s*(-2)/(-4))/(3/(-18))?
12
Suppose 3*l = -2*c + 57 - 11, -5*l + 78 = 3*c. Let r(u) = u**3 - 19*u**2 + 29*u - 189. What is the remainder when 152 is divided by r(l)?
8
Suppose 5*o - w + 0*w = 118, 2*w - 860 + 836 = 0. What is the remainder when o is divided by 290/14 + (-4)/(-14)?
5
Suppose 1184 = -8*f + 1256. Let u = 132 - f. What is the remainder when u is divided by 5?
3
Let s(g) = -5*g + 7 - 24 + 2*g**2 - 1 - 4*g. Calculate the remainder when s(-7) is divided by 9.
8
Suppose 5*i + 2*q = -136, -6*i + 10*i + 101 = q. Let x = 142 + i. Calculate the remainder when x is divided by 35.
11
Suppose -3*p = 6*u - 21687, -5*p + 3*u - 21663 = -8*p. What is the remainder when p is divided by 10?
3
Let b(r) = 2*r**3 + 27*r**2 - 7*r + 12. Let p = 79 + -93. Let d be b(p). Let j = 110 + d. What is the remainder when 47 is divided by j?
23
Suppose -3*k + 34 + 23 = 0. Let z(b) = -12*b**3 - 130*b**2 + 6*b + 31. Calculate the remainder when z(-11) is divided by k.
17
Let r = -27 + 30. Suppose r = h - 0*h. Suppose 3*d + 32 + 94 = 5*u, 0 = h*u - 4*d - 80. Calculate the remainder when u is divided by 3.
0
Let o = 1318 + -929. Suppose 219 = 3*v - 3*c, -5*v + 0*v - c = -o. What is the remainder when v is divided by 10?
7
Suppose m = k + 74, 94 = 3*m + 2*k - 118. Suppose -5*r + 2*o + 104 = -m, -3*r + 90 = 4*o. What is the remainder when 131 is divided by r?
29
Suppose -c - k = k, 0 = 2*k + 4. Suppose -46 - 71 = -3*u. Suppose 4*y - 53 = -3*i, 3*y + 3*i = i + u. What is the remainder when y is divided by c?
3
Suppose -2*a = -3*q - 3, 5*a - 11 = 7*q - 3*q. Suppose -36 - 100 = -5*i + 2*o, -4*i - a*o = -118. Let j = 13