n.
6
Let a(i) = i - 1. Let v(t) = t - 23. Let m(p) = 6*a(p) - v(p). Let x be m(-5). Calculate the remainder when (-1 - 42/4)/(4/x) is divided by 12.
11
Suppose 5*y - 20 = 105. Let a = -79 - -65. What is the remainder when 10/35 + (-654)/a is divided by y?
22
Let s(f) = -f + 10. Let o be s(6). Suppose 0 = l - o*x - 30, 0 = 4*l + 4*x + 10 - 110. Suppose -5*c = -259 - l. What is the remainder when c is divided by 15?
12
Let u be ((-29)/3)/(((-26)/12)/13). Suppose 3*a - 4*d = 239 + u, 2*a + d - 187 = 0. What is the remainder when a is divided by 39?
17
Suppose 76 = 3*s - 5*d, -2*d = -4*s + d + 116. What is the remainder when s is divided by 34/119 - ((-630)/1176)/(3/32)?
2
Suppose -2*x + 549 = -462*l + 463*l, -5*x - 4*l = -1374. Calculate the remainder when 461 is divided by x.
187
Let q be ((-140)/(-15))/(-4)*-3. Suppose -q - 18 = -n. Calculate the remainder when 122 is divided by n.
22
Let p(s) = -4*s - 10. Let b(r) = 77*r + 189. Let i(v) = 3*b(v) + 56*p(v). Let w be i(11). Suppose 0*t = t - w. What is the remainder when t is divided by 29?
26
Let m(z) = z + 39. Suppose -k + 652 = 5*o, -2*o + 4*o - 5*k - 277 = 0. What is the remainder when o is divided by m(-9)?
11
Suppose -6*j + 15*j = 0. Suppose 10*g + 0*g - 20 = j. Suppose -g*a = w - a - 78, -2*w = 5*a - 159. What is the remainder when w is divided by 27?
23
Let k(o) = -o + 34. Let v be k(6). Let b(m) = -v - 45*m + 21*m - 19*m. Calculate the remainder when b(-6) is divided by 29.
27
Suppose 4*g = -c + 9228, 6*g - 3*g + 3*c = 6921. What is the remainder when g is divided by 110?
107
Let n(j) = -4 - 8 + 7*j - 3*j - 1. Let q be n(10). Calculate the remainder when 8*(-4 + q/6 + 3) is divided by 15.
13
Let z(s) be the first derivative of s**4/4 + 2*s**3 + 4*s**2 + 10*s - 158. Let p = 9 - 13. Calculate the remainder when 29 is divided by z(p).
9
Suppose 25*z - 17449 = 4101. Let i = z + -794. What is the remainder when 202 is divided by i?
66
Suppose 0 = -q + a + 188, 30*q + 3*a + 938 = 35*q. Suppose 72 = 4*m - 3*x - 0*x, 121 = 5*m + 4*x. Calculate the remainder when q is divided by m.
19
Suppose 2*t + 2*t + 2*n - 30 = 0, 2*n - 37 = -5*t. Suppose -57 = -y + f, -3*y - f + 273 = 2*y. Calculate the remainder when y is divided by t.
6
Let c be (-44)/33*(-6)/(-4). Let p = -4 + 7. What is the remainder when (30/4 - c)/(14/28) is divided by p?
1
Let g(d) = -33*d - 36. What is the remainder when g(-10) is divided by ((-5)/15)/((-200)/198 + 1)?
30
Let j(y) = -y**3 + 2*y**2 + 49*y + 274. Calculate the remainder when j(-11) is divided by 360.
228
Let o = -23 - -22. Let t(f) = 4*f**2 + 21*f - 17. What is the remainder when (6 - -25)*(-3)/o is divided by t(-7)?
29
What is the remainder when 666 is divided by (3/(-9))/((-42)/28) + 2008/36?
50
Suppose 232 = 2*g + 5*y, 2*y + 0*y = 4*g - 416. Let c(s) = 5*s + 198. Calculate the remainder when g is divided by c(-38).
2
Suppose 17*c - 1658 = -837 + 1763. Calculate the remainder when 160 is divided by c.
8
Let f = -10861 + 11187. What is the remainder when 657 is divided by f?
5
Let r(k) = 14*k**2 + 15*k + 3. What is the remainder when r(3) is divided by (-2)/11 + (-5540)/(-220)?
24
Suppose -26*t + 94 + 198 = -98. Calculate the remainder when 145 is divided by t.
10
Let w = 105 + -89. Let i(p) = p**3 - 4*p**2 - 6*p + 9. Calculate the remainder when i(6) is divided by (4/(-24))/((-1)/w)*6.
13
Suppose -4*s = -p + 728, -2*p = -5*s - 622 - 285. Let x = 231 + s. What is the remainder when 139 is divided by x?
43
Let s(m) = 101*m - 879. What is the remainder when s(59) is divided by 13?
10
Let f be (-1)/(-2)*(-52 + 58). Suppose -p + 73 = -f*u, -p + 2*p - 61 = -3*u. Calculate the remainder when p is divided by 21.
4
Suppose -2*l + 0*l + 4 = 0. Calculate the remainder when 81 is divided by (-6 - (-114)/12)*l.
4
Suppose 0 = 4*y - 2*q - 1152, -3*y + 25*q + 153 = -570. Calculate the remainder when 1141 is divided by y.
268
Let c = 20 - 2. Calculate the remainder when 36128/256 + 3/(-24) is divided by c.
15
Let h(q) = -2*q**3 - 35*q**2 - 280. What is the remainder when h(-18) is divided by 43?
1
Calculate the remainder when 1020 is divided by 24*(73/(-584) + 19/24 + 0).
12
What is the remainder when (-653)/(3/(-15) - ((-3)/(-10))/(-3)) is divided by 92?
90
Suppose -46*a - 27*a = 31*a - 12168. Calculate the remainder when 297 is divided by a.
63
Let o = 2716 - 2678. Calculate the remainder when 339 is divided by o.
35
Let y(w) = -w + 6. Let z(m) = -m - 7. Suppose -6*f + 9*f = 21. Let h be z(f). Calculate the remainder when 79 is divided by y(h).
19
Let z(j) = -2*j**2 + 13*j + 1. Let s(d) = -30*d + 23. Let b be s(3). Let x = b + 73. What is the remainder when 20 is divided by z(x)?
6
Let t = -22039 + 22254. Calculate the remainder when 594 is divided by t.
164
Let v(i) = 2*i**2 - 14*i + 32. Let w be v(15). Let y = w - 157. What is the remainder when y is divided by 29?
28
Let q = 45 - 22. Let p = q - 23. Suppose 4*s + 8 = 0, -3*i + 2*s + 190 = -p*i. Calculate the remainder when i is divided by 32.
30
Calculate the remainder when 585 is divided by 8/32*(-7 - -15).
1
Calculate the remainder when 363 is divided by 7 + 0 + (84 - -46).
89
Let w be -2*1/3 + (-32)/24. What is the remainder when (-30)/(-1) + -7 + 6 is divided by (4/(-9)*-12)/(w/(-3))?
5
Suppose 535 = b - 3*f + 4*f, 5*b = -2*f + 2684. Let m = -300 + b. What is the remainder when m is divided by 61?
55
Suppose -4*o - 5*f = -4467, 7*o - 3753 - 3996 = f. What is the remainder when o is divided by 11?
8
Let b = -93 - -99. Suppose -b*v - 5*v = -176. What is the remainder when 236 is divided by v?
12
Let f(s) = s**2 + 4*s + 3. Suppose 0 = -5*h + 5*r - 40, -4*r + 2 = 3*h + 12. Let a = -2336 + 2380. What is the remainder when a is divided by f(h)?
14
Let m = 1055 - 937. What is the remainder when 2357 is divided by m?
115
Suppose 0 = 2*i - 84*c + 83*c - 127, -i - 2*c = -81. Calculate the remainder when i is divided by (-11 + -2)*(-3 - 0).
28
Let l = 61 + -24. Suppose 1 = l*v - 36*v. What is the remainder when 2 + 3/v - 4/(-4) is divided by 2?
0
Let w(p) = p + 5. Let t be w(7). Let s(q) = -2*q**2 + 6*q + 23. Let m be s(t). Let u = 318 + m. Calculate the remainder when u is divided by 14.
13
Let d(f) = 85*f - 3474. What is the remainder when d(49) is divided by 98?
5
Suppose 4*o - 72 = 5*w + 19, 3*o - 57 = 3*w. What is the remainder when 359 is divided by w/1*2*-2?
59
Calculate the remainder when ((-87948)/(-630))/(4/30) is divided by 15.
12
Let r(w) = -9*w**2 - 13. Let h(v) = -5*v**2 - 6. Let n(g) = -11*h(g) + 6*r(g). What is the remainder when n(-9) is divided by (1/(-7 + 3))/((-5)/740)?
32
Let y = 3755 + -3615. What is the remainder when 839 is divided by y?
139
Let z(k) = k**3 - 10*k**2 + 27*k + 35. Calculate the remainder when z(8) is divided by 16.
11
Suppose -116 = 16*g + 41*g - 800. What is the remainder when 48 is divided by g?
0
Suppose 3*d - 1131 = 4*g + 396, g + 372 = 4*d. Let q = g - -439. Calculate the remainder when 216 is divided by q.
51
Suppose 3*y + 7*n = 8*n + 1977, -y + 3*n + 651 = 0. Let r = -639 + y. Calculate the remainder when 80 is divided by r.
17
Suppose -4*v + v = -4*w - 85, -3*v = -5*w - 110. Let t = 5 - w. Let k(b) = 3*b**2 - 7*b - 4. What is the remainder when t is divided by k(4)?
14
Let b(l) = l**2 - 1 - 11*l**3 + 2*l**3 - l**2. Calculate the remainder when b(-1) is divided by 16/7 - (-22)/(-77).
0
Let i be ((-3)/1)/(39/(-26)). Let x(n) = 1. Let b(v) = -3*v - 3. Let l(t) = -b(t) + 2*x(t). What is the remainder when 31 is divided by l(i)?
9
Let p = 205 - 523. Let u = 352 + p. What is the remainder when 78 is divided by u?
10
Let t = 3190 - 3126. Calculate the remainder when 4798 is divided by t.
62
Suppose 24*n = -19*n + 31*n + 228. What is the remainder when 1290 is divided by n?
17
Let q(k) = -5*k**2 - 5*k + 0*k**2 + 2 + 4*k**2. Let z be q(-8). Let w = -20 - z. Calculate the remainder when w is divided by 1.
0
Suppose 4*s - 2*j = -j + 224, 4*s = 4*j + 236. Let q(p) = p**3 + 16*p**2 + 22. Calculate the remainder when s is divided by q(-16).
11
Let q be 4356/45 - 3/(-15). Suppose 5*y + q - 477 = 0. Calculate the remainder when y is divided by 27.
22
Suppose 4*d - i = 23 + 2, d = 2*i + 15. Suppose -4*w + 56 = -5*k, -d*k = w - 11 + 22. Let a = -4 + 7. Calculate the remainder when w is divided by a.
