u - 12 = h*u. Calculate the remainder when o(14) is divided by u.
1
Let z(h) be the first derivative of -h**4/4 + 8*h**3/3 + 9*h**2/2 + 4*h - 2. Let c be z(8). Let x = -37 + c. What is the remainder when x is divided by 8?
7
Let k = -7 - -166. Let f(j) = j**3 - 4*j**2 - 2*j + 5. Calculate the remainder when k is divided by f(5).
19
Let k be (-6)/(-12) - (-54)/4. Suppose r - 15 = 2*q, -2*r = 5*q - 25 - k. Calculate the remainder when r is divided by (-4)/14 + 88/14.
5
Let o be (-3)/(-9)*30/1. Suppose -3*c - 4*b + 317 = -0*c, -c - 4*b = -103. What is the remainder when c is divided by o/4*378/35?
26
Calculate the remainder when 1/(-8) + 237240/960 is divided by 89.
69
What is the remainder when 190 is divided by (-1)/(-5) + 119/5?
22
Suppose 28*r - 29*r - 3*y + 857 = 0, 3401 = 4*r + 3*y. Calculate the remainder when r is divided by 37.
34
Suppose 4*f = -5*y - 231, -4*f = -0*f + 2*y + 246. Let r = f - -90. Calculate the remainder when 75 is divided by r.
23
Let g(r) be the first derivative of r**4/4 + 5*r**3/3 + 3*r**2/2 + 3*r + 22. What is the remainder when g(-4) is divided by (2/(-3))/((-2)/6)?
1
Suppose 2*j - c = 11, 0 = -5*j - 3*c + 5*c + 29. Let d = j + -6. Let i(b) = 60*b**2 + b. What is the remainder when i(d) is divided by 16?
13
Let n = -12584 + 12597. Suppose 36 = 3*t - 2*t. What is the remainder when t is divided by n?
10
Suppose 5*l + m = 107, -44 = 5*m - 29. What is the remainder when 262 is divided by l?
20
Suppose 19 = 4*j + 3. Suppose -j*n + 127 = 47. What is the remainder when n is divided by 10 + -5 + 0 + 2?
6
Let w be (2 + -1)*1 - 133. Let l be w/5 + 24/60. What is the remainder when l*(52/(-8) - -2) is divided by 30?
27
Let v = 21 - 16. Suppose y = v*x - 2 - 14, 4*x - 17 = 5*y. Suppose i = -2*k, 2*i = 2*k + 15 - x. Calculate the remainder when 7 is divided by i.
3
Let k(t) = -5*t + 33 + 8*t - 50. What is the remainder when 33 is divided by k(12)?
14
Let m = 2623 - 2231. Calculate the remainder when m is divided by 12.
8
Suppose -18*h = -783 - 963. What is the remainder when h is divided by 53?
44
Suppose -2*u + 57 = -0*v + 3*v, u + 4*v - 41 = 0. Let k = -15 + 11. Let g(h) = -2*h**3 - 6*h**2 - h + 3. What is the remainder when g(k) is divided by u?
18
Suppose -8*l - 3*d = -7*l - 182, -4*l - 5*d + 714 = 0. Calculate the remainder when l is divided by 98.
78
Suppose 2*l + 646 = -4*b - 0*l, -3*l = -3*b - 480. Let x = -160 - b. Let g(r) = -5*r - 1. What is the remainder when g(-1) is divided by x?
0
Let t(m) = m**2 - 5*m - 21. Calculate the remainder when t(14) is divided by 22.
17
Suppose 9*r = 4*r + 520. Suppose r = 3*v - 22. Calculate the remainder when 25 is divided by (v/(-4))/((-3)/4).
11
Let x(l) = -2*l**2 - 168*l + 22. Let f = -1 - -1. Calculate the remainder when x(-84) is divided by (f - -9)/((-6)/(-4)).
4
Let j be 0 + 6/(-4) - (-18)/12. Suppose -4*o - 7*o + 176 = j. Calculate the remainder when 41 is divided by o.
9
Suppose -3 = 5*w - 88. Suppose 0 = k + 3*n - 8*n - w, -3*n - 3 = 0. Calculate the remainder when 34 is divided by k.
10
Suppose 0 = -8*f - 4*f + 4056. What is the remainder when f is divided by 31?
28
Let v(n) = 8*n**2 - 20*n + 47. Calculate the remainder when v(6) is divided by 44.
39
Suppose -536*c + 533*c = -234. Calculate the remainder when c is divided by 31.
16
Let b = 62 - -45. What is the remainder when b is divided by 36/5*(60/(-16))/(-1)?
26
Let m = -120 - -196. Suppose -3*r - f = -m, 1 = -2*f - 3. What is the remainder when r is divided by 1*8 - (-6)/(-6)?
5
Let m be 3*-4*(-5)/12. Suppose -19*r + m*r = -490. Calculate the remainder when 243 is divided by r.
33
Let d = 201 + -66. What is the remainder when d is divided by 23?
20
Let h = -16 + 18. Suppose h*j - 107 = -5*l + 76, 101 = 3*l - j. Calculate the remainder when l is divided by 1 + 7 - (14/(-7) + 1).
8
Let w be (-1 + (-3 - 3))*1. Let y = -7 - w. What is the remainder when 76 is divided by (-13)/2*(-4 - y)?
24
Let v = 9 - 4. Suppose -v*n + 56 = 2*n. What is the remainder when 37 is divided by n?
5
Suppose -145 = -4*i - 3*x, 4*x + 42 + 14 = 2*i. What is the remainder when 167 is divided by i?
31
Let p(j) = j**3 + 5*j**2 - 13*j - 10. Let m be p(-9). Let q be m/14*6/(-3). Let k = q - 1. What is the remainder when k is divided by 11?
8
Suppose 4*t - 17 + 9 = 0. Suppose -t*i = -h - 26, -4*h + 61 = 4*i - 3. Let u(f) = f**3 - 4*f**2 - 2*f - 7. Calculate the remainder when i is divided by u(5).
6
Suppose 1200 = 2*m + 8*m. Calculate the remainder when m is divided by 11.
10
Suppose 0 = f + r - 12, 5*r + 60 = -3*f + 8*f. Suppose -14*t = -8*t. Suppose t = -46*k + 49*k - 132. What is the remainder when k is divided by f?
8
Let t(f) = -f**3 - 3*f**2 - f + 2. Let h be t(-2). Let r = 10 + h. What is the remainder when 25 - 19/((-19)/(-6)) is divided by r?
9
Suppose 0 = 4*c - 4*h - 80, 5*c + h - 2*h = 88. Calculate the remainder when 249 is divided by c.
11
Let w = 49 - -12. Suppose 8 = 4*z, -b + 2*z = 4*b - w. Calculate the remainder when (-7546)/(-330) + 14/105 is divided by b.
10
Calculate the remainder when 15 is divided by (-98)/147 - 58/(-6).
6
Suppose 0 = k - 5*i - 24, -291*k + 296*k = i + 72. What is the remainder when 1047 is divided by k?
11
Calculate the remainder when (1854/54)/(2/6) is divided by 21.
19
Suppose 6*x = 7*x + b - 22, 5*x = 3*b + 94. Calculate the remainder when 135 is divided by x.
15
Let c(v) = v + 34. Let g be c(-4). Let y = 1 + g. Calculate the remainder when 119 is divided by y.
26
Let a(d) = 5*d - 1 + 5 - d**3 - 3*d**2 - 6*d + 2*d. What is the remainder when 1 is divided by a(-3)?
0
Suppose -5*p - 5*x - 526 = -6*p, 3*p - 1612 = -2*x. Calculate the remainder when p is divided by 45.
41
Let o = 8 - 11. Let m(r) = r**3 + 6*r**2 + 4*r - 6. What is the remainder when 25 is divided by m(o)?
7
Let v be ((-5)/4*-3)/(2/(-16)). Let c = v + 129. What is the remainder when c is divided by 17?
14
Calculate the remainder when 21 is divided by (-55)/44 + 0 - 98/(-8).
10
Suppose 115*x - 108*x - 105 = 0. What is the remainder when x is divided by 7?
1
Suppose -14 = 8*k - 54. Let f = -8 + 12. Calculate the remainder when k is divided by f.
1
Suppose -2*s + 85 = -6*y + 7*y, 4*s = 5*y + 191. Calculate the remainder when s is divided by ((-12)/(-7))/(2/14).
8
Suppose -3*f - 70 = -5*r, -4*f - 15 - 86 = r. Let u = f + 9. Calculate the remainder when 2*2*(-156)/u is divided by 10.
9
Suppose -3 + 7 = -p, 0 = 2*n + p. Suppose 0*o - 2*o + 2*v = -106, 5*o + n*v - 272 = 0. What is the remainder when o is divided by 8?
6
Let g(v) be the third derivative of -5*v**2 - 2*v**3 + 0 - 1/12*v**4 + 0*v. Calculate the remainder when 31 is divided by g(-10).
7
Suppose u + 4*u - 66 = -2*z, -4*z - 5*u + 122 = 0. Calculate the remainder when z is divided by 8.
4
Let z(h) = 5*h**3 + 3*h**2 + 3*h + 4. Let i be z(-2). Let y = i + 39. Calculate the remainder when 22 is divided by y.
4
Let i be -15 + 12 + (0 - -6). Calculate the remainder when 13 is divided by 14*(10/(-4) + i).
6
Let o(p) = 17*p**2 - p. Let v(w) = 2*w. Let d be v(7). Let a = d + -13. What is the remainder when o(a) is divided by 6?
4
Let o(v) = 6*v + 8. Let n be o(8). Suppose -44*z - n = -48*z. Let t = 59 + -20. What is the remainder when t is divided by z?
11
Let a = -7650 - -7684. Calculate the remainder when a is divided by 6*2/14*7.
4
Let r = -357 - -396. Calculate the remainder when 228 is divided by r.
33
Suppose 0*s = -5*q - 3*s + 10, -q - s = -2. Suppose -2*l = 0, q*h + 0*h - 60 = 5*l. Suppose -32 = -2*x - 0*x. Calculate the remainder when h is divided by x.
14
Let c(h) = 76*h - 383. Calculate the remainder when c(7) is divided by 53.
43
Let k(h) = -78*h - 2. Let m be k(1). Let u = m + 138. Suppose 3*i = 131 + u. Calculate the remainder when i is divided by 16.
15
Let c be (-19)/(-114) + (-1)/6. Suppose -10*k + 6*k + 84 = c. What is the remainder when k is divided by 6?
3
Let x = -1224 - -1305. What is the remainder when 156 is divided by x?
75
Let s(r) = 3*r**2 - 5*r + 3. Let j be -3 + (-2)/(-6) + 87/9. What is the remainder when s(4) is divided by (-2 + 4)*(10 - (-1 + j))?
7
Suppose -a + 98 + 51 = 2*f, a = -f + 149. What is the remainder when a is divided by 7?
2
What is the remainder when 319 is divided by 1 + (-6 - (-2 - 7)) + 73?
11
Suppose 16 + 8 = 2*d. What is the remainder when 52 is d