5).
1
Let q be -8*3/(-3 - 0). Suppose 3*t = -t + q, 2*t - 94 = -5*j. Calculate the remainder when 34 is divided by j.
16
Suppose -3*t + 2*r + 217 = 2*t, 0 = 5*r + 5. What is the remainder when 80 is divided by t?
37
Let x = 187 + -185. Let d(a) = a**2 + 5*a - 8. Let t be d(-7). Suppose 3*y - 76 = -x*f, 0 = 4*f + 10 + t. What is the remainder when 111 is divided by y?
27
Let n(w) = 3*w**2 - w**2 - w**2 - 4*w + 3 - 1. What is the remainder when n(-5) is divided by 17?
13
Suppose -191 = -5*z + 2*b + 780, -4*b = 3*z - 593. Suppose -5*c + 2*c + z = 0. What is the remainder when c is divided by 11?
10
Let p(u) = -99*u - 1. Let q(l) = -l**2 + 5*l + 7. Let j be q(5). Let i be p(j). Calculate the remainder when (-6)/(-36) - i/12 is divided by 15.
13
Let n(c) = -c**2 - 23*c - 6. Let t be n(-22). Let s = t - -78. Calculate the remainder when s is divided by 24.
22
Let t = -19 - -21. Suppose -3*q - t*q + 20 = 0. Calculate the remainder when 37 is divided by -1 + 56/q - 3.
7
Suppose 2*f = -0 + 6, 3*x - 21 = -f. Calculate the remainder when 69 is divided by x.
3
Suppose 0 = -2*j + 4*j - 62. Suppose 4*h = 4*k - 32, 0 = -4*k + 3*h - 8*h + 32. What is the remainder when j is divided by k?
7
Suppose 419*m + 2*f = 423*m - 7136, 5*m - 8935 = -5*f. Calculate the remainder when m is divided by 94.
93
Let p = 934 + -883. Suppose t - 2 = -3*k, 3*k = -5*t + k + 49. What is the remainder when p is divided by t?
7
Suppose 3*j - 9 = 5*x + 4, -3*j = -2*x - 7. What is the remainder when (-944)/(-24) + j/(-3) is divided by 14?
11
Suppose -1062 = -0*h - 6*h. What is the remainder when h is divided by 45?
42
What is the remainder when 150 is divided by (-168)/(-20) + (-22)/55?
6
Let b = -146 + 142. Let j(g) = 66*g**2 + 2. Let m be j(2). What is the remainder when 77 is divided by b + 1 - m/(-14)?
13
Suppose 173 = 5*g + 4*x, 7*x - 161 = -5*g + 9*x. Calculate the remainder when 139 is divided by g.
7
Let w(j) = j**2 - 7*j + 3. Let z be w(7). Suppose c = -3*d + 84, -z*d + c = -2*c - 96. Calculate the remainder when d is divided by 6.
5
Suppose -2*r = -7*r + 65. Suppose -2*g + r = -4*h + 141, 3*g + 12 = 0. Suppose -j - h = -4*j. What is the remainder when 29 is divided by j?
9
Calculate the remainder when (-118)/5*5/(-2) is divided by 10.
9
Suppose -l + 5*l + 92 = 4*o, 0 = -5*o - 4*l + 115. What is the remainder when -1*(-2 + 1) - -63 is divided by o?
18
Let g be (-12)/(-1 - 3) - 1. Suppose r + 53 = g*r + 4*f, 145 = 5*r - 4*f. Suppose 4 = -p + r. What is the remainder when p is divided by 8?
5
Let y = -30 - -44. Suppose -y*r + 36 = -11*r. Calculate the remainder when 55 is divided by r.
7
Let i(g) be the second derivative of 5*g**3/6 + 5*g**2/2 - 4*g. What is the remainder when 59 is divided by i(1)?
9
Let v(l) = 4*l**2 + 11*l + 16. Let k be v(-6). Suppose k = -6*m + 8*m. Suppose 0 = -8*j + 3*j + 40. What is the remainder when m is divided by j?
7
What is the remainder when (-5661)/34*(-4)/6 is divided by 43?
25
Suppose -672 + 4632 = 22*t. What is the remainder when t is divided by 14?
12
Let f(z) be the second derivative of z**4/12 - z**2/2 + 6*z + 5. What is the remainder when f(2) is divided by 3?
0
Let w(f) = -f**2 + 12*f - 8. Suppose 8*p = 3*p + 25. Let l = p - -3. What is the remainder when w(l) is divided by 9?
6
Suppose -o = 20 - 72. Let l = -29 + o. Suppose u - 6*u = -2*f - 43, -4*f = -u + l. What is the remainder when u is divided by 5?
2
Let g = 29 - 17. Calculate the remainder when (g - -1) + 3 + -1 is divided by 4.
3
Suppose -4*s + 74 - 2 = 0. Let j = 2 - -72. What is the remainder when j is divided by (3/(s/(-4)))/((-24)/684)?
17
Let f(s) = 2*s**2 - 26*s + 312. Calculate the remainder when f(-27) is divided by 25.
22
Let v be 20*(-30)/(-25)*(-2)/6. Let c(g) = 8*g**2 + 3*g + 1. Let p be c(-3). Calculate the remainder when 21 is divided by p/10 + v/20.
3
Let z = 836 + -820. What is the remainder when 555 is divided by z?
11
Suppose 9 = -3*d, 5*d + 80 - 5 = 5*j. Calculate the remainder when 190 is divided by j.
10
Let y(o) = 6*o**2 - o**3 + 1 + 24*o - 23*o + 2*o**3 - 5. Calculate the remainder when y(-4) is divided by 13.
11
Let r = -1536 + 1682. Calculate the remainder when r is divided by 6.
2
Let i(y) = -y**2 - 7*y + 2. Let h be i(-7). Suppose 9*k = -h*k + 363. Calculate the remainder when 96 is divided by k.
30
Let z(r) = r**2 + 12*r - 13. Let k be z(-13). Suppose k*o + 5*o = 60. What is the remainder when 42 is divided by (-3)/(-12) - (-105)/o?
6
Suppose -3*o + 3*i + 205 = o, 4*o = -i + 209. Calculate the remainder when o is divided by 21*(15/9 - 1).
10
Let n(s) = -27*s**3 + 4*s**2 - 12*s - 30. Calculate the remainder when n(-2) is divided by 57.
55
Suppose -5*x = r - 9, -3*x + 2*x = -3*r - 5. Let u = x - 3. Let h = 21 - u. Calculate the remainder when 86 is divided by h.
20
Suppose -n + 8 = 3*n. Suppose 95 = 5*y + z, 10 = n*y - 5*z - 1. Suppose -5*w = -y - 57. Calculate the remainder when 57 is divided by w.
12
Suppose -13 + 45 = -2*w. Let n = w + 30. Calculate the remainder when 37 is divided by -4 + 3 - -1*n.
11
Suppose -5*h + 2*h = -54. Calculate the remainder when h is divided by (28/35)/(3/15).
2
Suppose -7*r + 300 = -4*r. Suppose 5*w = 5*d + 160, r + 60 = 5*w + d. What is the remainder when 62 is divided by w?
30
Let c = 175 - 172. Suppose c*m - 64 = m. Calculate the remainder when 1*(62 + (3 - 2)) is divided by m.
31
Let o(h) = h**2 + 4*h - 4. Let k be o(-5). Let z = k - -3. Suppose g + 15 = b, 0 = -2*g - z - 0. Calculate the remainder when 25 is divided by b.
12
Let v = -81 + 84. Suppose v*a + 55 = 427. What is the remainder when a is divided by 21?
19
Let j = -18 - -43. Let z = 78 + -42. Let b = z - j. What is the remainder when 43 is divided by b?
10
Let a = -595 - -615. What is the remainder when 397 is divided by a?
17
Suppose 0 = 4*b - 4*n - 40, 5*b - 51 = -n - 7. Let c = b - 6. Let l = c - -18. What is the remainder when 81 is divided by l?
18
Let z(f) = f**3 + f**2 - 5*f + 2. Calculate the remainder when z(4) is divided by (4 - 5) + (4 - -10).
10
Let q(g) = 3*g**2 - 12*g + 14. Let p be q(4). Suppose 38 = 2*y + p. Suppose o + 47 = 2*a, -3*o - 65 = -3*a + 10. Calculate the remainder when a is divided by y.
10
Suppose 165 + 115 = 7*o. What is the remainder when 85 is divided by o?
5
Let r(m) = 10*m**2 - 38*m + 162. Calculate the remainder when r(4) is divided by 7.
2
Suppose 16*g - 452 = 1084. Calculate the remainder when 289 is divided by g.
1
Let p(j) = j**3 - 3*j**2 + 5*j - 4. Suppose -6*v = -0*v - 30. Suppose o - v*k = 1, -2*o + 34 = -0*k - 2*k. What is the remainder when o is divided by p(3)?
10
Let j(i) = i**2 - 12*i + 4. Let h be j(10). What is the remainder when 4 + 21 + h/(-4) is divided by 6?
5
Let i(k) = k**2 - 3*k + 2*k**2 + 5*k**3 + 5*k - 6*k**3 - 3. Suppose -32 = 3*s - 80. Calculate the remainder when i(-3) is divided by s.
13
Let z(q) = 146*q + 608. What is the remainder when 634 is divided by z(-4)?
10
Let g(u) = -8*u + 34. What is the remainder when g(-9) is divided by 18?
16
Calculate the remainder when (-1)/(336/1701 - (-1)/(-5)) is divided by 58.
57
What is the remainder when 33*(2/6*23 - 4) is divided by 37?
10
Let l(k) = -84*k + 9. Calculate the remainder when l(-5) is divided by 72.
69
Let h(b) = 4*b**2 + 4*b + 8. Let z be h(6). Suppose -5*w - 2*q - 484 = 0, 2*w = -3*w + 2*q - 496. Let l = w + z. What is the remainder when l is divided by 20?
18
Calculate the remainder when 101 is divided by (2/(6/(-57)))/(29/(-58)).
25
Suppose -o = 2*o - 42. Let y(u) = u**2. Let z(i) = i**3 - 19*i**2 - 14*i + 18. Let v(d) = 6*y(d) + z(d). Calculate the remainder when 51 is divided by v(o).
15
Suppose -3*b = -4*b + 4. Suppose 31 = 5*p - 2*c, -4*c + b = 2*p + 6. Calculate the remainder when 9 is divided by p.
4
Let v = -353 + 369. Calculate the remainder when (2 + 13)*(-2)/(-1) is divided by v.
14
Let z(i) = -i + 1. Let v be z(2). Let l(o) = -48*o**3 - 2*o**2 - 2*o - 1. Calculate the remainder when l(v) is divided by 15*7/((-35)/(-4)).
11
Suppose -5*g - 30 + 105 = 0. Let a(k) = -8*k - 5. Calculate the remainder when a(-4) is divided by g.
12
Let g(m) = -m + 14. Let u(w) be the second derivative of -w**3/6 + 7*w**2 + 9*w. Let t be u(7). What is the remainder when 19 is divided by g(t)?
5
Let l(c) = 13*c**2 + c. Let j = -20 - -4. Let z = 15 + 