). What is the remainder when n/((-1 - -2)*2) is divided by 13?
3
Let p = -95 + 84. What is the remainder when (-783)/(-12) + p/44 is divided by 18?
11
Let m(u) = -5*u**3 - 4*u**2 - 13*u - 58. Calculate the remainder when m(-4) is divided by 14.
12
Let z = -12539 - -12565. What is the remainder when 15155 is divided by z?
23
Calculate the remainder when (7775/(-622))/(1/(-72)) is divided by 42.
18
Suppose 5*g - 113*u - 2501 = -112*u, -2*u - 1509 = -3*g. Calculate the remainder when g is divided by 168.
163
Suppose 2*z + a = -3*z + 143, -4*z + 4*a = -124. Let t(b) = 28*b**3 - z*b**3 - b + b**2 - 1 + 7*b. What is the remainder when 32 is divided by t(-3)?
15
Let i(t) = -t**3 + 53*t**2 - 46*t - 282. What is the remainder when 1244 is divided by i(52)?
14
Suppose 237 = 4*j + a, -7*j + 421 = 26862*a - 26859*a. Suppose 4*k - 858 = -3*p + 2*k, -5*p = 4*k - 1432. What is the remainder when p is divided by j?
52
Let j be ((-2)/(-5))/(4/40) - 32. Calculate the remainder when 3 - 7/(j/40) is divided by 8.
5
Suppose 14*k - 15*k + 14 = 0. Calculate the remainder when (-130 - 42/((-42)/(-7)))*-1 is divided by k.
11
Suppose 116 - 6 = 5*l. Let b = l - -8. Suppose -5*h = 20 - 100. What is the remainder when b is divided by h?
14
Let z = -45 - -6. What is the remainder when 272 is divided by z/52 - 446/(-8)?
52
Suppose 5*b - 2*b - 66 = 0. Let k = 139 - 55. Suppose -172 = k*m - 86*m. Calculate the remainder when m is divided by b.
20
Suppose -44*t + 2*h = -37*t - 568, 248 = 3*t - 2*h. Calculate the remainder when 986 is divided by t.
26
What is the remainder when 123 is divided by 89 - 2 - 17*(-462)/(-714)?
47
Let z = 6 - 3. Let y = 18 - 15. Suppose 3*r - 9 = 0, 0 = 3*q - 5*r + 3*r - y. What is the remainder when q is divided by z?
0
Let v be 1/((-4)/48*-3). Suppose v*x + m + 3 = 16, 3*m - 18 = -5*x. Suppose -x*f - 1 = -22. Calculate the remainder when 20 is divided by f.
6
Suppose -3*j + 675*p - 672*p = -177, -5*p = 4*j - 182. What is the remainder when 1738 is divided by j?
42
Let j = -105 + 97. Let f(g) = -21*g + 9. What is the remainder when f(j) is divided by ((-10)/(-6))/((2 + 2)/72)?
27
Let q = 2020 - 1964. Calculate the remainder when 440 is divided by q.
48
Let p(o) be the first derivative of 2*o**2 - 22*o + 50. Let d = 31 - 19. What is the remainder when p(d) is divided by 10?
6
Suppose 3*v = v + 64. Let u(h) = 2*h**2 - 27*h - 1372. What is the remainder when u(-22) is divided by v?
30
Let o(p) = -17*p - 19. Suppose 2 = -2*n - 4, 2*v - 6 = 4*n. Calculate the remainder when o(v) is divided by 5.
2
Let k = 61 + 58. Let z = 133647 - 133637. What is the remainder when k is divided by z?
9
Suppose w - 4*u - 229 - 264 = 0, 3*w + 5*u = 1479. Calculate the remainder when w is divided by 170.
153
Let z = -1647 - -1964. What is the remainder when z is divided by 13?
5
Suppose t - 2 = -5*k, 3*k + 4*t - 8 = -0*t. Let n be (-2 - k)*(-2 + -1). Suppose n*r + 0*r - 66 = 0. What is the remainder when 54 is divided by r?
10
Let l(a) = -a**2 - 105*a - 1261. What is the remainder when 305 is divided by l(-15)?
38
Let r = -17178 + 24240. What is the remainder when r is divided by 45?
42
What is the remainder when ((-1390)/556)/((-4)/((-10272)/(-20))) is divided by 301?
20
Suppose -26 = 2*q - 3*q. Suppose 3*h - 2*v - 1497 = 0, -499 = -15*h + 14*h - 5*v. Let i = -398 + h. Calculate the remainder when i is divided by q.
23
Suppose -4*j = 57 - 49, -5*j = -g - 8. Calculate the remainder when 1 + 15/g + (-49405)/(-246) is divided by 57.
30
Let a(u) = u**3 - 17*u**2 - 11*u - 32. Calculate the remainder when 6670 is divided by a(18).
90
Suppose 4*m = -38*m + 28*m + 126. Calculate the remainder when 3570 is divided by m.
6
Let m = -686 + 706. Let k be -9*(6/9 - 1). Suppose 116 = 5*v - k*v - z, v + 5*z - 47 = 0. Calculate the remainder when v is divided by m.
17
Let p(m) = m**3 - 17*m**2 + 35. Let w be p(17). Suppose -r = -266 + w. What is the remainder when r is divided by 39?
36
Let l(j) = -4*j**3 + 186*j**2 + 88*j + 342. Calculate the remainder when l(47) is divided by 7/((1 - 3)/(-2)).
4
Suppose -41*o + 83*o - 3864 = 0. Let p(f) = -f**3 + 6*f**2 + 7*f + 4. Let r be p(7). Calculate the remainder when o is divided by (r/(-6))/(3/(-144)).
28
Let y(s) be the second derivative of s**4/12 + s**3/2 - 19*s**2 + 16*s. What is the remainder when y(-11) is divided by 17?
16
Suppose 4*r + 41 = q, -5*r + 144 = 4*q - r. Let g = q + 33. Let b = -136 - -172. What is the remainder when g is divided by b?
34
Suppose 0 = 3*v - 3*f - 3838 - 1463, 5*v - 8883 = -3*f. What is the remainder when v is divided by 4?
1
Suppose 21 = 2*s + a, -11 = -5*a + 4. Calculate the remainder when 3/(-2)*(-426)/s is divided by (-4*1/4 + -36)/(-1).
34
Let n(w) = 3*w - 57. Let l(t) = t**2 - 15*t + 36. Let u be l(14). What is the remainder when 179 is divided by n(u)?
8
Let t be 132/10*(-60)/24. Calculate the remainder when (-758)/(-6) - t/(-99) is divided by 31.
2
Let c be (140/84)/((4/(-6))/2). Calculate the remainder when 1 - -33*1/((-1)/c) is divided by 17.
13
Let g be 1692/(-8)*-1 - 6/4. Suppose 11*u = 6*u + g. Let z = 57 - u. Calculate the remainder when 86 is divided by z.
11
Let o = -71 - -119. Suppose -12 = 3*b, -5*b + 3*b + o = 4*m. Suppose 19212*c - 14725 = 18623*c. What is the remainder when c is divided by m?
11
Let g = 19 - -4. Let i = g - -29. Calculate the remainder when i is divided by ((-141)/(-3) - -3)*2/5.
12
Let y = 218 - 132. Suppose -y*h = -80*h - 234. Calculate the remainder when h is divided by 20.
19
Let a(c) = 5*c**2 - 71*c + 305. What is the remainder when 1715 is divided by a(4)?
99
Let p(y) = 20*y - 141. Let o be p(8). Suppose -2*t = -4*g + 52, 3*g + 3*t - o - 29 = 0. What is the remainder when g is divided by 10 - (3/3 - 2)?
3
Suppose 4*u = -u + 15. What is the remainder when (59 + -8)/(-3*(-3 + 2)) is divided by u?
2
Calculate the remainder when 10/(1276/212 - 6) is divided by 17.
3
Suppose 19*x = 17*x + 62. Let c(q) = q**3 + 27*q**2 - 33*q - 111. What is the remainder when x is divided by c(-28)?
2
Let c(d) be the third derivative of -d**6/8 - d**4/12 - d**3/6 - 10*d**2. Let f = -24 - -69. Calculate the remainder when f is divided by c(-1).
13
Let v = 10995 - 10676. Calculate the remainder when v is divided by 52.
7
Suppose 0 = -754*r + 763*r - 432. Calculate the remainder when 61 is divided by r.
13
Suppose 8*h = 28*h + 46200. What is the remainder when (-7)/6 + 1 + h/(-36) is divided by 5?
4
Suppose -1387*l = -1063*l - 7452. What is the remainder when ((-14)/8)/(2/(-496)) is divided by l?
20
Suppose -176*j + 27085 = -5579 - 70472. Calculate the remainder when j is divided by 19.
16
Let w(h) = -2*h + 14. What is the remainder when 230 is divided by w(-76)?
64
Suppose 4*z = -5*p + 6, -6 = -5*p - z + 3. Let o(a) = 6*a - 20*a + 39 - 8*a + a**p - 3*a. Calculate the remainder when 42 is divided by o(24).
12
Suppose -4*g - 5*f = -163, -f = -3*g - 2*g + 153. What is the remainder when 694 is divided by g?
22
Let u(z) = -40*z + 2459. What is the remainder when 432 is divided by u(56)?
213
Suppose 4*u + 2848 = -71*r + 75*r, u = 5*r - 3536. What is the remainder when r is divided by 51?
43
Let o(n) = -1299*n + 58. What is the remainder when o(-1) is divided by 80?
77
Suppose 117*l + 43220 = 162326. What is the remainder when l is divided by 30?
28
Let t be (3 - (-12)/(4 + -7))*1. Let g be 9*8/12 + t. Suppose -l + 12 = -3*n + 2*n, n = -g*l + 54. Calculate the remainder when 43 is divided by l.
10
Calculate the remainder when ((-85446)/27 + -10)*((-3)/6 - 1) is divided by 227.
222
What is the remainder when 1245 is divided by (21/(-14) + 7/10)/((-16)/8240)?
9
Let r = 1754 - 1713. Calculate the remainder when 568 is divided by r.
35
Suppose 3*j = 13*j - 30. Suppose j*i + 648 = 9*i. Calculate the remainder when 177 is divided by (10/15)/(2/i).
33
Let p = 3434 + -3406. What is the remainder when 922 is divided by p?
26
Suppose -1165*l + 1179*l - 728 = 0. Let n(h) = -3*h - 4 - 7*h - 4*h**2 - 7*h**2 + h**3 - 11. What is the remainder when l is divided by n(12)?
7
Suppose 2*a - 2*l - 5134 + 5132 = 0, 0 = 2*a + 4*l - 26. What is the remainder when 1015 is divided by a?
0
Let p(j) = -j**3 + 13*j**2 - 14*j + 16. Let c be p(12). What is the remainder when ((-10)/c)/(3/84) is divided by (-24)/(-60)*-15 - 