87. Calculate the remainder when f is divided by (12/(-7))/(2/(-14)).
8
Suppose 73*n = 62*n + 11. What is the remainder when 5 is divided by n?
0
What is the remainder when (-51)/(-1) - 11/(10 - 21) is divided by 28?
24
Suppose 188 = 2*u - 4*v, -u + 16 + 81 = -5*v. What is the remainder when u is divided by 85?
7
Suppose 4*k - 1 + 18 = -5*b, -4 = -2*k. Let p = 10 - b. Let w = p - -1. What is the remainder when w is divided by 6?
4
Let r(n) = 8*n - 13. Let h be r(7). Let q = h + -24. Calculate the remainder when q is divided by 10.
9
Let p(v) = 9*v + 123. Let r(g) = 6*g + 82. Let a(y) = 5*p(y) - 7*r(y). What is the remainder when a(16) is divided by 23?
20
Suppose 5*w - 678 = -4*b, -2*w - 3*w = b - 687. Suppose -w = -8*l + 46. Calculate the remainder when 90 is divided by l.
21
Suppose 4*t = -j + 16, -3*t + 0*t + 1 = -2*j. Let u = 6 - j. Suppose 5*i - 22 = -u*n, -4*n + 22 = 3*i - 22. What is the remainder when 43 is divided by n?
10
Let f = -1339 + 1479. Calculate the remainder when f is divided by 50.
40
Let y(p) = 10 + 3 - 5 + 2 - p**3 - 6*p - 7*p**2. What is the remainder when y(-6) is divided by 3?
1
Let h(z) be the second derivative of z**5/20 + 5*z**4/6 - 7*z**3/3 - 5*z**2 + z. Let b = 0 + -11. Calculate the remainder when 45 is divided by h(b).
22
Suppose -23*t + 0*t = -6762. Calculate the remainder when t is divided by 27.
24
Let o(j) = -j**2 - 5*j - 3. Let v be o(-4). Let p(t) = 6*t**3 - 2*t**2 + 2*t - 1. What is the remainder when p(v) is divided by 3?
2
Suppose 0 = 4*o - 5*j + 2, 0 = 4*o + 3*j + j + 20. What is the remainder when -1*(3 + -35 - o) is divided by 11?
7
Suppose 0 = -3*z - 2*u + 602 - 46, -2*z = -4*u - 392. Calculate the remainder when z is divided by 16.
12
Let j(u) = 21*u. Suppose -4*l = -4*t + 16, -2*t + 3*l + 5 = -1. Suppose 0 = -3*p - t - 0, -4*a + 2*p = -160. What is the remainder when a is divided by j(1)?
18
Let l = -37 - -30. Let m(s) = 2*s**2 + 12*s - 6. Calculate the remainder when 20 is divided by m(l).
4
Suppose -286 - 736 = 14*o. Let h = o + 164. What is the remainder when h is divided by 32?
27
Let f(q) = -17*q - 96. What is the remainder when f(-35) is divided by 25?
24
Let v = 125 - 120. Suppose 0 = -o - o - 4*h + 142, -5*h - v = 0. What is the remainder when o is divided by 15?
13
Suppose 72 = -19*z + 21*z. Calculate the remainder when 176 is divided by z.
32
Suppose -2 = 4*a - 5*p - 4, -23 = -5*a - 4*p. Let y = -8 + 14. Calculate the remainder when 4 + (-9)/a - -15 is divided by y.
4
Let i = -15 + 18. Suppose -32 = -i*t - t - 4*q, -3*q - 80 = -5*t. Suppose 2*w + 0 - 4 = -2*f, -2 = -3*f - 5*w. Calculate the remainder when t is divided by f.
1
Let p be 15/60 - (-34)/(-8). Let k be p + (-4)/(8/14). Let f = k + 33. Calculate the remainder when 41 is divided by f.
19
Let i(v) = -7*v - 12. Let x be i(-8). Suppose 4*c - x = 3*c. Suppose -4*u - c = -108. Calculate the remainder when 47 is divided by u.
15
Suppose 0 = -3*p - 12 - 0. Let v be p/(16/(-28)) - 2. Suppose v*n - 85 = 4*f - f, -4*n + 4*f + 76 = 0. What is the remainder when 26 is divided by n?
12
Suppose 87 = a + 2*c, -468 = -a - 4*a + c. Calculate the remainder when 276 is divided by a.
90
Suppose 2*a = 128 + 334. What is the remainder when a is divided by 9?
6
Suppose 4*y = 2*y + 268. Suppose 0 = 3*f - 6*f + 132. Let u = -17 + f. What is the remainder when y is divided by u?
26
Let a = 176 - 144. What is the remainder when 62 is divided by a?
30
Let l = -271 + 281. Suppose 0 = -5*i + 2*g + 20, i = 2*i - 4*g - 4. Let r(x) = x**3 - 2*x**2 + 2*x - 3. What is the remainder when r(i) is divided by l?
7
What is the remainder when 186 is divided by 201/(-6)*60/(-30)?
52
Let d be 12*(1/(-1))/(-1). Let n = d + 9. Let y = 6998 - 6958. What is the remainder when y is divided by n?
19
What is the remainder when 407 is divided by 2/(-4)*102/(-5 - -2)?
16
Suppose 5*h - 7*h + 14 = 0. Suppose -y - 5*r - h = 1, 4*r + 8 = 0. Suppose 0 = y*j + 67 - 167. What is the remainder when j is divided by 13?
11
Let p be (83 + -9)/((-4)/6). Let v = -93 - p. Calculate the remainder when v is divided by 5.
3
Suppose -4*k - 14 - 118 = -5*z, 3*z + 4*k - 92 = 0. Calculate the remainder when 83 is divided by z.
27
Let h(q) = -19*q - 255. Suppose 4*l - 9 - 27 = 0. Suppose c - l = 34. Calculate the remainder when c is divided by h(-14).
10
Suppose 0 = 62*z + 1570 - 10126. Calculate the remainder when z is divided by 12.
6
What is the remainder when 172 is divided by 8/(-2) + (-330)/(-6)?
19
Let g = 511 + -388. What is the remainder when 366 is divided by g?
120
Let a = 297 + -290. What is the remainder when 23 is divided by a?
2
Suppose 22*p - 17*p = 105. What is the remainder when (144/(-56))/((-1)/p) is divided by (-66)/9*(-3)/2?
10
Let x(u) = 5*u + 1. Let d = 173 + -111. What is the remainder when d is divided by x(4)?
20
Suppose -7*u - 480 = -11*u. Calculate the remainder when u is divided by 32.
24
Let i = 42 + -44. Calculate the remainder when 57 - (-12)/(-4) - i is divided by 12.
8
Suppose -8*f + 679 = 5*b - 5*f, 3*f = -2*b + 277. What is the remainder when b is divided by 20?
14
Let q = -966 - -1053. Calculate the remainder when q is divided by 22.
21
Let p be 15 - (-5)/((-5)/4). Let s(y) = -2*y**2 + 24*y - 14. Let r be s(p). Suppose -z + r*z - 210 = 0. Calculate the remainder when 119 is divided by z.
29
Let p(i) = i**3 - i**2 - 1. Let u(m) = -7*m**2 + 5*m + 6. Let k(l) = -p(l) + u(l). What is the remainder when 60 is divided by k(-7)?
18
Let z = -3 + 14. Calculate the remainder when 27*4/(-16)*8/(-3) is divided by z.
7
Let s(g) = 11*g + 1. Let i be s(1). Suppose 0*y + i = -4*y. What is the remainder when 14 is divided by 3/(-2)*8/y?
2
Suppose -2*j = 9*j + 737. Let z = 90 + j. What is the remainder when 159 is divided by z?
21
Let p(g) = 16*g**2 - 3*g. What is the remainder when 31 is divided by p(1)?
5
Suppose -k + 22 = -7. Suppose -12*i + 62 = -58. Calculate the remainder when k is divided by i.
9
Let l(g) = 10*g**2 + 4*g - 3. Suppose -8*u - 86 + 150 = 0. Calculate the remainder when l(2) is divided by u.
5
Suppose 0 = 3*y - y - x - 3, x = -3*y + 2. Let k = y + 4. Suppose -k*c + 4*c + 8 = 0. What is the remainder when 13 is divided by c?
5
Let t(a) = 6 - 1 - 3 - 17*a + 3*a. Calculate the remainder when 55 is divided by t(-1).
7
Calculate the remainder when 307 is divided by (32/112)/(3/252).
19
Let m(o) = 20*o - 7. Suppose y + 3*q - 4 = 2*q, -3*q = -2*y + 8. Let r be y + -3 - (-3)/3. What is the remainder when m(r) is divided by 13?
7
Suppose 0 = -3*o + 3*z + 534, 8 - 4 = 4*z. What is the remainder when o is divided by 52?
23
Suppose -22*o = -3*o - 1729. What is the remainder when o is divided by 20?
11
What is the remainder when 33 is divided by 9*((0 - 1) + (-12 - -14))?
6
Let c be 6/(-2) - (-104)/2. Suppose -121 = -5*l + c. Calculate the remainder when l is divided by (1/2)/(1/18).
7
Let h(y) = 4*y**2 + 2*y - 3. Let r be h(3). Suppose 4*v + 2*d = 372, v + 3*d = r + 54. Calculate the remainder when v is divided by 16.
13
Suppose 0 = 3*l + 15, 2*x - 3*x = 4*l + 16. Calculate the remainder when 60 is divided by ((-12)/(-4) - x) + 24.
14
Let o(l) = 2 - 3 - 2 + 0. Let b(d) = -d - 8. Let f(m) = -3*b(m) + 12*o(m). What is the remainder when 59 is divided by f(9)?
14
Suppose -3*q = -2*o + 96, o = -4*q + 5*q + 48. What is the remainder when 623 is divided by o?
47
Let n(w) = -75*w - 203. Calculate the remainder when n(-4) is divided by 20.
17
Suppose -9 + 81 = 8*h. Calculate the remainder when 42 is divided by h.
6
Let j(g) = 80*g - 50. Suppose -3*w - 2*m = -269, -m = 4*w + 3*m - 360. Calculate the remainder when w is divided by j(1).
29
Let a = -10 - -16. Suppose -73 + 15 = -29*s. What is the remainder when a is divided by s?
0
Suppose m + 2*g - 14 = -g, -2*m = g - 18. Let p = 18 - -36. Let o = -33 + p. What is the remainder when o is divided by m?
5
Let v(o) = -o**2 - 47*o - 114. What is the remainder when 158 is divided by v(-43)?
42
Let x = 8 - 6. Suppose 2*t + 4*n - 24 = 0, -2*t + 12 = x*n - 4. Calculate the remainder when 43 is divided by 3 - t - (-5 + -5).
7
Suppose 2*y = 2, 4*m = -0*y - 5*y + 77. Calculate the remainder when 50 is divided by m.
14
Let g be (-12)/(-21) - (-76)/14. Suppose 14 = 2*s + g. What is the remainder when 10 is divided by s?
2
Suppose 15 = 5*q + 