*2. Calculate the remainder when n(-12) is divided by 18.
14
Suppose 3*s - s - 4 = n, 0 = 5*n - 3*s + 13. Let d = 243945 + -243865. What is the remainder when d is divided by 142/5 + n/5?
24
Suppose 0 = 2*b + i - 5, -2*b + i = 6*i - 1. Suppose -b*c + 384 = c + 4*j, 4*c = 4*j + 400. Let n = c + -59. Calculate the remainder when 155 is divided by n.
38
Calculate the remainder when 1029 is divided by (-39 - -15)/12 + 259.
1
Suppose 0 = 2*f - 5*q + 13, 4*f - 169*q - 29 = -170*q. What is the remainder when 168 is divided by f?
0
Suppose -2*b + 23*h - 20*h = -325, -b + 5*h = -159. Suppose b - 384 = -11*j. What is the remainder when 77 is divided by j?
17
Suppose -5*c + 4*g + 75 = 0, -11 = -c - 3*g + 23. Let p(h) = 17*h + 4. Let j be p(0). Let u(y) = 3*y + 80. Calculate the remainder when u(j) is divided by c.
16
Suppose 0 = 318*o - 1858 + 582 - 314. Calculate the remainder when 7832 is divided by o.
2
Let r = 2192 - 2110. What is the remainder when r is divided by 29?
24
Calculate the remainder when (-3799 - -14 - -22)/(-2 - -1) is divided by 5.
3
Let z(n) = -n**2 + 6*n + 1641. What is the remainder when 173 is divided by z(42)?
44
Let u(r) = -2*r**2 + 94*r + 177. Suppose 6*p = 2*p + 120. Calculate the remainder when u(47) is divided by p.
27
Let f(t) = 6*t**2 - 52*t + 852. What is the remainder when f(24) is divided by 8?
4
Suppose 10*n = -2*a + 11*n + 30, -5*a = n - 89. What is the remainder when 577 is divided by a?
16
Suppose 0 = 7*r - 4*t - 1226, -3*r - 2*t + 130 = -414. Suppose 4*l = -f + 246, -l + 3*l - 122 = -f. What is the remainder when r is divided by l?
54
Let x = -675 + 745. Let s(g) = -g**3 + 4*g**2 + 7*g - 4. Calculate the remainder when x is divided by s(5).
4
Let r be 40 + -45 + (-5 - 1). Let z(s) = s**2 - 82. Calculate the remainder when z(r) is divided by 20.
19
Let t(g) = -g**3 + 9*g**2 - 3*g + 13. What is the remainder when 786 is divided by t(8)?
44
Let o(h) = 18*h**2 - 27*h - 4. Calculate the remainder when o(3) is divided by 14.
7
Suppose 0 = 5*r - 4*r - 64. Let w = r - 39. Suppose 30*f - w*f - 90 = 0. Calculate the remainder when 35 is divided by f.
17
Suppose 189*n - 35351 + 8247 = -53*n. Calculate the remainder when 319 is divided by n.
95
Suppose 68*y - 2632 = 54*y. Let a(u) = 2*u + 24. Calculate the remainder when y is divided by a(7).
36
Let n(b) = 2*b**2 - 4*b - 1. Suppose -4*x = 163 + 77. Calculate the remainder when ((-145)/x - (-2)/(-8))*6 is divided by n(3).
3
Suppose -44*j + 41*j + 9 = 0. Suppose 7*q - 2*q - 5 = 0, j*p + 3*q - 702 = 0. What is the remainder when p is divided by 68?
29
Suppose -o - 3*w - 543 + 5186 = 0, 0 = 3*o - 3*w - 13953. What is the remainder when o is divided by 141?
137
Let w be (-1395)/30 - (-4)/((-8)/3). Calculate the remainder when 70 is divided by 15*((-9)/12 - 100/w).
10
Let n(z) = -z**2 - 168*z - 4253. Calculate the remainder when n(-101) is divided by 28.
22
Suppose -1 = -a, 2 + 0 = -3*l - a. What is the remainder when 9 is divided by (10 + (-116)/10)/(l/5)?
1
Let n(v) = 7*v - 6. Let d be n(10). Suppose b + d = 69. Suppose 0*x = i - 2*x - b, i - 1 = 3*x. What is the remainder when i is divided by 6?
1
Suppose 41 = h - 0*h. Let g(n) = -n**3 + 30*n**2 - 216*n + 15. What is the remainder when h is divided by g(12)?
11
Let c(h) = -h**3 + 50*h**2 + 51*h - 28. Let n be c(51). Let s(v) = v**2 + 22*v - 3. Calculate the remainder when s(n) is divided by 77.
11
Suppose -2*z - 4*s = -22, 0*s + 2*s + 22 = 2*z. Suppose 0 = 6*f - z*f - 100. Calculate the remainder when 32 is divided by (-1 - (-78)/10)/((-8)/f).
15
Calculate the remainder when 3004 is divided by ((-16)/20 + 4)/(5/100).
60
Let n(x) = -11*x + 7. Let w(i) = -22*i + 13. Let t(o) = -11*n(o) + 6*w(o). Calculate the remainder when t(-8) is divided by (10 - 7) + -5 - -20.
17
Let m(f) = f**3 + 27*f**2 + 50*f + 11. Let v be m(-25). Suppose g = -d + 31, -3*g - v*d + 77 = -16*d. What is the remainder when g is divided by 19?
10
Let k be 4/6 - (-140)/6. Suppose 0 = -4*n - 5*j + k + 4, 4 = -j. Let q = -13 - -58. What is the remainder when q is divided by n?
9
Suppose -2*w = 0, -2*g - g + w = -153. Suppose -1243*i - 35 = -1248*i, -k - 4*i = -58. What is the remainder when g is divided by k?
21
Let g be (603/6)/(6/4). Let h = g - 52. What is the remainder when 79 is divided by h?
4
Suppose 25*w = -2*w - 1350. What is the remainder when 117 is divided by w*(5 - 1 - 5)?
17
Let j(r) = r**2 - 49*r + 742. What is the remainder when 465 is divided by j(21)?
3
Let g(t) = 201*t - 4 - 197*t + 2. Let u be g(2). Calculate the remainder when 89 is divided by u/3 + 2 + 14.
17
Let v be 2*(-3)/12*-4. Let g(w) = 2*w - 9 - 4*w + 17*w**v + w**3 + 3 + 4. What is the remainder when g(-16) is divided by 41?
40
Suppose 3*c = -6*i + 3*i + 249, 0 = -2*c + i + 163. What is the remainder when 106 is divided by (-2829)/c*2/(-3)?
14
Suppose 10*h + 68 = -7*h. Calculate the remainder when 4/14 - (38700/21)/h is divided by 21.
20
Let t(p) be the first derivative of 25*p**3/3 - p**2 - 11*p - 5. Calculate the remainder when t(-4) is divided by 10.
7
Suppose -18*y = -6*y - 2984 + 548. Calculate the remainder when 522 is divided by y.
116
Let a be (-28)/(1*(-4 + 2)). Suppose 4*p + 3*z = -a + 106, 2*p = 5*z + 72. Calculate the remainder when 122 is divided by p.
18
Let z = 2559 + -2435. What is the remainder when 612 is divided by z?
116
Suppose 0 = -5*m + 5, -18*m = 2*u - 14*m - 92. Calculate the remainder when 0 - 156/(-2 + -1) is divided by u.
8
Suppose -2*c - 6 = -3*c. Let q = -253 + 255. Suppose n = 2*v + 2 - 19, 2*v + q*n = 14. Calculate the remainder when v is divided by c.
2
Let a(t) = t**2 - 12*t + 10. Let r(k) = 11*k - 10. Let w(m) = -3*a(m) - 2*r(m). Let u be w(4). What is the remainder when 71 is divided by (40 + u)/(6/3)?
14
Let w = 10 - 2. Calculate the remainder when 36 is divided by -3 - ((w + -4)*-7 + 1).
12
Calculate the remainder when 7820*(-3)/(-10)*31/(465/20) is divided by 39.
8
Let c = 248 + -144. What is the remainder when 389 is divided by c?
77
Suppose 7*l + 677 = -1542. Let x = l + 376. Calculate the remainder when x is divided by 39.
20
Suppose -15*v = 23 - 203. Let o(c) = 6*c + 12. Let b(i) = 17*i + 37. Let k(a) = -4*b(a) + 11*o(a). What is the remainder when v is divided by k(-12)?
4
Let b(s) = -54*s - 11. Let q = -751 + 750. What is the remainder when 115 is divided by b(q)?
29
Suppose 5*d - 15 = -5*z, -5*d + 27 = 2*z - z. What is the remainder when 1/((-5)/(-85))*1 is divided by d?
5
Suppose -j + r + 26 = 0, 2*j - 7*r = -3*r + 44. Let f(y) be the first derivative of 119*y**4/4 - y**3 + y + 6. What is the remainder when f(1) is divided by j?
27
Suppose -1394 = 139*u - 173*u. Let r(j) = j**2 + 4*j - 1. Let k be r(5). Suppose k = -f + 205. What is the remainder when f is divided by u?
38
Let r(p) be the second derivative of 5/3*p**3 + 7/6*p**4 + 1/20*p**5 + 0 - 3/2*p**2 - 4*p. What is the remainder when r(-13) is divided by 14?
8
Suppose -g - 13*p = -11*p - 7, -3*g = 3*p - 18. Let l(y) be the second derivative of -y**3/6 + 11*y**2/2 - y. What is the remainder when 16 is divided by l(g)?
4
Let b = 0 - -2. Let n = -4938 - -2554. Let y = n - -2387. What is the remainder when y is divided by b?
1
Let s(k) be the third derivative of 5*k**4/4 + 13*k**3/3 + 2*k**2 - 98*k. Calculate the remainder when s(6) is divided by 13.
11
Suppose y + 2*f = -0*y, 5*f - 5 = 0. What is the remainder when 73 is divided by ((-2)/3)/(y - (-303)/153)?
5
Suppose -47*n + 10 = -45*n. What is the remainder when (100/(-35))/(n - 741/147) is divided by 24?
22
Let y(m) = -1 - 4 + 4 + 3 - 17*m. Let f(u) = -6*u + 1. Let t(s) = 11*f(s) - 4*y(s). What is the remainder when t(4) is divided by 3?
2
Let z = -346 + 532. Let q = 2415 - 2290. Let a = z - q. Calculate the remainder when a is divided by 16.
13
Let c = 546 + -357. Suppose 0*o = -3*o + 30. Calculate the remainder when c is divided by o.
9
Suppose 3*a = 4*x - 0 - 5, -5*a = 2*x + 17. Let q(u) = 79*u**2 - 11*u - 10. What is the remainder when q(x) is divided by 44?
36
Let p = 152 - 190. Let t = p - -112. What is the remainder when t is divided by 23?
5
Let i = 85 - 97. Let l(u) = -u**2 - 13*u - 1. Calculate the remainder when (-73 + 0/1)/(-1) is divided by l(i).
7
Let o(s) = -s**2 - 17*s + 87. Let g be o(-21). Let k(r) = -6*r + 22. C