 73 = 0. Calculate the remainder when 2/(-10) - 271/(-5) is divided by p.
16
Let f(l) = -l**3 - 2*l**2 + 6*l. Let p be f(4). Let v = -21 - p. Suppose 6*x + x = 196. Calculate the remainder when v is divided by x.
23
Suppose -123 = -3*b + 2*b. Let c = -121 + b. Suppose -7*p + 50 = -c*p. Calculate the remainder when 117 is divided by p.
7
Suppose -80*s + 24205 = -33*s. What is the remainder when s is divided by 74?
71
Suppose 8 = -4*a + 4*h, 5*h + 12 = -8. Let t be a/9 + 128/12. What is the remainder when 78 is divided by ((-108)/t)/((-20)/50)?
24
Suppose 0 = -5*u - d + 401, 18 = u - 2*d - 49. What is the remainder when 611 is divided by u?
58
Suppose 2*r - 2364 = -2*a, -5*a - 3558 = -3*r - 6*a. Calculate the remainder when r is divided by 200.
188
What is the remainder when 352 is divided by 35 + 244/44 + 42/(-77)?
32
Let m(n) = -42*n + 69. Calculate the remainder when m(-5) is divided by 234.
45
Let x = 50 + -46. Suppose i + x*i = 100. What is the remainder when 77 is divided by i?
17
Suppose 170*z = 174*z + 40. Suppose -4*a + 204 = 3*w, 3*a + 2*w - 154 = -0*w. Calculate the remainder when a is divided by -2*(0 + 55/z) + 3.
12
Suppose -4*z = -2*z + 50. Let r = -21 - z. Suppose 0 = -r*i + 5*p + 135, 5*i - 170 = 3*p + 2*p. Calculate the remainder when i is divided by 9.
8
Let k be 1/3*-1*3. Calculate the remainder when 158 is divided by (-321)/(-6) + (-4)/(-8)*k.
52
Let w(a) be the second derivative of -a**4/12 + a**3/6 + a**2 - 22*a. Let f be w(0). What is the remainder when 73 is divided by (((-20)/15)/4)/(f/(-90))?
13
Let f(b) = 19*b + 901. What is the remainder when 209 is divided by f(-44)?
14
Let z be (-1863)/(-21) - 8/(-28). Suppose 13 = 12*t - 107. What is the remainder when (3 - 0)/(3/z) is divided by t?
9
Suppose m - 5*h = 53, m + 41 = -2*h + 108. Calculate the remainder when 1698 is divided by m.
60
Suppose -82 = -5*c + 3. Let v(q) = -5*q - 84*q**2 - 2*q + 91*q**2 - c + q**3. Calculate the remainder when v(-7) is divided by 9.
5
Calculate the remainder when 564 is divided by -19*10*(-4)/20.
32
Let l = -19 - 24. Let k = 47 + l. Suppose 4*c - 8 = -c - 4*d, -k*c - 2*d + 10 = 0. Calculate the remainder when 5 is divided by c.
1
Let j = -131 + 161. Suppose -4*c + 3*i = 4*i - 332, 0 = i. Calculate the remainder when c is divided by j.
23
What is the remainder when 325 is divided by ((-13)/((-234)/(-2412)))/(3*-1 + 2)?
57
Let a = 9871 + -9830. What is the remainder when 1131 is divided by a?
24
Suppose 14*w - 412 = 12*w. Suppose -16*q + w + 66 = 0. What is the remainder when q is divided by 9?
8
Let o(y) = 9*y**3 + 2*y**2 - 1. Let i be o(-1). Let p(w) = -10*w + 38. What is the remainder when p(i) is divided by ((-2)/2)/1 + 41?
38
Let l(f) = 47*f - 5. Let k = 57 - 53. Suppose -5*m = -k*o - 1, 0 = m - 4*o + 3*o. Calculate the remainder when 81 is divided by l(m).
39
Suppose -4*j + 4*d = -0*j - 136, 9*d - 28 = 13*d. Suppose -25 = -2*v + 3. What is the remainder when j is divided by v?
13
Suppose 0 = u + 5*y - 116, 5*y = -u - 2*u + 308. Let a = -12 + u. Suppose -a - 78 = -f. What is the remainder when f is divided by 41?
39
Suppose -4*r = -2*c - 2*c + 12, -4*c - r + 7 = 0. Suppose 3*t + c*i + 2*i - 24 = 0, 0 = -t + 2*i + 8. What is the remainder when 31 is divided by t?
7
Suppose 141*o = 2058743 + 81496. Calculate the remainder when o is divided by 110.
109
Suppose y = -5*p + 1330, 7*p - 3*y - 532 = 5*p. Suppose -8*k + p = 11*k. What is the remainder when 124 is divided by k?
12
Suppose 10*q + 105 = 12*q + 5*i, 0 = 4*q + 4*i - 192. Suppose -5*h - 9 + 94 = 0. What is the remainder when q is divided by h?
11
Suppose 5*a + 4*d - 9*d = 715, 3*a - 5*d - 433 = 0. Calculate the remainder when (-5 - -1 - -1) + a is divided by 7.
5
Let x(s) = -28*s - 123. Suppose 0 = 69*z - 6827 + 2204. Calculate the remainder when z is divided by x(-5).
16
Suppose 42 = 50*k - 33*k + 8. Calculate the remainder when 38 is divided by k.
0
Suppose -1808 = -22*f + 1758 + 3034. Calculate the remainder when 1051 is divided by f.
151
Let g be (-2)/3 + (-19633)/(-87). Suppose 5*v + 1550 = g. What is the remainder when 13 is divided by 2 + 26/(-10) + v/(-25)?
3
Suppose 21*m - 18*m = 3*y + 3285, 3*m - 3273 = y. What is the remainder when m is divided by 219?
213
Let k be 73/4*(1 - -3). Let b = 76 - k. Let g = b + 18. Calculate the remainder when 80 is divided by g.
17
Suppose -13 - 71 = -3*f. Suppose 27*k + 4 = f*k. Suppose k*g - 15 = g. What is the remainder when 22 is divided by g?
2
Let f(x) = 4*x**2 + 4*x + 3. Suppose -17 + 25 = 4*k. Suppose 5 = -4*c - y, -k*y + 1 = c - 3. What is the remainder when 53 is divided by f(c)?
9
Let o = -3611 + 3625. What is the remainder when 2029 is divided by o?
13
Let c(l) = 9*l + 18. Let n be c(0). What is the remainder when 53 is divided by n/(-9) - 21/(-1)?
15
Let j = 2139 + -2030. What is the remainder when 1522 is divided by j?
105
Suppose -40*k + 5950 = -231*k + 11680. Calculate the remainder when (-4)/6 + (-1252)/(-6) is divided by k.
28
Let w = -1828 - -1912. Calculate the remainder when 157 is divided by w.
73
Suppose 7*v = 4*d + 12*v - 815, -5*d + v = -997. Calculate the remainder when d is divided by 61.
17
Suppose 126*v - 2160 = -54*v. What is the remainder when v is divided by 43/5 + (-2)/(-5)?
3
Calculate the remainder when (60200/(-258))/((8 + -4)*(-4)/24) is divided by 9.
8
What is the remainder when (-7 - -1)/(8/(-64)) is divided by (-901)/106*8/(-4)?
14
Suppose 455*v = 456*v - 301. What is the remainder when v is divided by 17?
12
What is the remainder when (-10)/((-50)/1005) + -5 + -6 is divided by ((-84)/35)/((-4)/10)?
4
Let p = 6479 - 6467. What is the remainder when 152 is divided by p?
8
Suppose -18*n + 5965 - 5497 = 0. Calculate the remainder when 384 is divided by n.
20
What is the remainder when 462 is divided by 1610/15 - ((-13)/(-3) - 5)?
30
Suppose 0 = -4*s - 3*t + 32, -4*t = 4*s + s - 41. Let z be (-15)/(-3) + -4 - s. What is the remainder when z*(-5 + 19/(-4)) is divided by 11?
6
Let c = -379499 - -379663. Suppose -24 = -3*g + 21. What is the remainder when c is divided by g?
14
Suppose 5*s = 3*t + 116, t + 96 = 4*s - 3*t. Calculate the remainder when 239 is divided by s.
19
Let i(b) = b**2 - 17*b + 211. Calculate the remainder when i(31) is divided by (-232)/(-13) + (-2)/(-13).
15
Suppose -122*o + 20 = -117*o. Suppose -2*f + 184 = o*n + 2*f, 15 = -3*f. What is the remainder when 203 is divided by n?
50
Let r(p) = 6*p + 331. What is the remainder when 181 is divided by r(-39)?
84
Let r(a) = -a**3 - 3*a**2 - 4*a - 2. Let b be r(-2). Let q(f) = 6*f**2 + 3*f - 16. What is the remainder when 25 is divided by q(b)?
11
Let j(h) = 12*h**2 - 70*h - 6. Let y be j(6). Suppose -y = w - 2*f - 30, 4*w - 5*f = 99. What is the remainder when w is divided by 3?
2
Suppose 1011 = 31*m - 1438. Calculate the remainder when 1176 is divided by m.
70
Let c(n) = 21*n**2 + 6*n + 49. Let t(o) = -8*o**2 - 2*o - 16. Let i(b) = -3*c(b) - 8*t(b). What is the remainder when 60 is divided by i(7)?
12
Suppose -4*q + 67 = 4*n - 117, 0 = 3*n - 4*q - 152. Suppose -52*t + n*t = -1852. Calculate the remainder when t is divided by 31.
29
Let x be -1*9*(5 + -32). Suppose 0 = 16*y - x - 477. Calculate the remainder when y is divided by 14.
3
Suppose 19 = 5*w - 6. Suppose w*p = 0, -o + 5 = p - 11. Suppose 0 = -m + h + 7, -5*m + 3*h = -27 - o. Calculate the remainder when m is divided by 4.
3
Suppose 0 = -36*q + 35*q - 348. Let f = 686 + q. Calculate the remainder when f is divided by 57.
53
Suppose 161*b = 24*b + 31647. What is the remainder when b is divided by 221?
10
Let j(v) = 2*v**2 + 18*v + 25. Let b be j(-7). Calculate the remainder when 108 is divided by ((-15)/(-9) + b)*(-17 - -5).
12
Suppose -3*x + 1286 - 188 = 0. Let z = x + -322. Calculate the remainder when z is divided by 33.
11
Let w(s) = -2*s**2 - 80*s - 62. What is the remainder when w(-35) is divided by 98?
92
Let a = -1049 - -1535. Calculate the remainder when 70 is divided by (-3)/10 + a/20.
22
Suppose 0 = -20*y + 6000 + 39520. Calculate the remainder when y is divided by 76.
72
Suppose 3*i + 2 = 50. Suppose -4*s + 2*r - 8 = 0, 3*s = -3*r - 8 - i. What is the remainder when (-278)/(-6) - s - (-2)/(-6) is divided by 11?
6
Let x = 208 - 82. Let j = -84 + x. Calculate the remainder w