*k - 4*k - 103, -3*k + 3*w = 81. Let q = 23 - -22. Let z = k + q. Calculate the remainder when z is divided by 5.
4
Let j = -193 + 206. What is the remainder when 62 is divided by j?
10
Let a = -235 - -237. Calculate the remainder when 5 is divided by a.
1
Suppose -5*i = -3*q - 1381, 0 = -4*i - 6*q + 8*q + 1104. Calculate the remainder when i is divided by 96.
83
Let p = -32 + 27. Suppose 3*y = -3*o - 90, 2*o + 3*y + 22 = -41. What is the remainder when 69 is divided by (-10)/(-3)*o/p?
15
Let c = 1236 + -1200. What is the remainder when c is divided by 14?
8
Let b = 5310 + -3330. Suppose 6*t - b = -9*t. Calculate the remainder when t is divided by 45.
42
Let n be 5/20 + 113/(-4). Let g be (n/(-8))/(3/(-36)). Let f = -37 - g. What is the remainder when f is divided by 4?
1
Suppose c - 11 = -3*w, -2*c + c = -w + 5. Let i(p) = -p**2 - 5*p + 4. Calculate the remainder when ((-153)/17)/((-2)/w) is divided by i(-3).
8
Suppose 0 = -4*n + 3*n - 4*k + 64, -4*n = -5*k - 340. What is the remainder when 129 is divided by n?
49
Suppose 0 = -v - 5, 5*v = -4*t + 75. Let n(d) = 19*d**2 + d - 2. Calculate the remainder when n(-2) is divided by t.
22
Let i(b) = 2*b**2 - 28*b - 12. Calculate the remainder when i(17) is divided by 31.
28
Calculate the remainder when 170 is divided by ((-42)/126)/((-1)/171).
56
Let t = -366 - -374. Let m(b) = -5*b - 11. What is the remainder when m(-10) is divided by t?
7
Suppose 2*x = -2, 3*i = -0*x - 2*x + 247. Calculate the remainder when i is divided by 14.
13
Suppose 0 = -6*j + j + 95. Let d(k) = -14*k - 93. Calculate the remainder when j is divided by d(-7).
4
Let l(y) = 13*y - 8. Let h be l(1). Calculate the remainder when ((h - 2) + 4)*7/1 is divided by 14.
7
Let k(v) be the third derivative of -v**6/120 - 7*v**5/60 - 7*v**4/24 + v**3/6 + 2*v**2. Calculate the remainder when 23 is divided by k(-6).
2
Suppose 3*o + 15 = 3*j, 4*o - 44 = -j - 3*j. What is the remainder when 111 is divided by j?
7
Let a = 67 - 56. Suppose -a*q + 44 = -33. What is the remainder when 19 is divided by q?
5
Let c(k) = k**3 + 6*k**2 - 5*k + 15. Let g be c(-7). Suppose 3*n + o - g = 5*n, 2*n - 2 = -2*o. Calculate the remainder when -53*4/(n + -4) is divided by 27.
26
Let f(v) = -v + 18. Let m be f(15). Suppose 0 = -q + 2*q + 2*o - 6, m*q - 4*o - 28 = 0. What is the remainder when 29 is divided by q?
5
Let l(v) = -v**2 + 14*v - 11. Let w(i) = 8*i - 5*i**2 + i**3 - 3*i + 0*i**3. Calculate the remainder when w(4) is divided by l(1).
0
Suppose -21*k - 82 + 2308 = 0. Calculate the remainder when k is divided by 18.
16
Let j(y) = -y**3 + 4*y**2 + 3. Let q = -1 + 4. What is the remainder when 90/4 + ((-135)/(-10) - 13) is divided by j(q)?
11
Let y(n) = n**2 + 3*n - 34. Suppose 35 = 3*k - 4*z, -4*k + 2*z = -3*k - 11. Calculate the remainder when y(7) is divided by k.
10
Let a(k) = -k**3 - 11*k**2 - 10*k + 24. Suppose 7*p - 40 = 11*p. Calculate the remainder when a(p) is divided by 13.
11
Suppose -827*k = -833*k + 450. What is the remainder when k is divided by 24?
3
Let v(b) = 2*b - 7. Let o(y) = y**2 - y. Let j(q) = q**3 - 14*q**2 + 13*q - 1. Let d be j(13). Calculate the remainder when v(6) is divided by o(d).
1
Let r(a) = -202*a**3 - 3*a**2 + a + 3. What is the remainder when r(-1) is divided by 29?
27
Let g(o) = -10*o + 2. Let s be g(-9). Let l = s + -83. What is the remainder when l is divided by 3?
0
Suppose -440*g + 451*g - 55 = 0. Let l be 1*5*6/10. Suppose -2 = -l*p - 2*s + 4*s, 5*s = -p + 12. What is the remainder when g is divided by p?
1
Let x(z) be the first derivative of z**3/3 + 5*z**2 + 13*z - 9. Calculate the remainder when ((-7)/(-3))/(1/6) is divided by x(-9).
2
Let x = 27 + -22. Suppose x*j - 2*j - 3 = 0. Let y(i) = 27*i**3 + 2*i - 1. What is the remainder when y(j) is divided by 11?
6
Let n be (-442)/8 + 18/72. Let y = 64 + n. Calculate the remainder when 14 is divided by y.
5
Let d = 473 - 462. Let j(h) = 41*h**3 - h + 1. Calculate the remainder when j(1) is divided by d.
8
Suppose 2*b - 5*b + 5*d + 7 = 0, d = 1. Suppose -b*i + i = -39. Calculate the remainder when 24 is divided by i.
11
Suppose 2*p - 87 = -25. Calculate the remainder when 712 is divided by p.
30
Let b(x) be the second derivative of x**4/12 + x**3/6 + x**2 - 2*x. Let d be b(-2). Let u = d + 13. Calculate the remainder when 47 is divided by u.
13
Let j = 2594 - 856. What is the remainder when j is divided by 60?
58
Suppose -5*i = -4*l + 21, -20 - 7 = -4*l + 3*i. What is the remainder when 53 is divided by l?
8
Suppose 4*w + 16 = -5*x, x + 1 = -2*w - w. Calculate the remainder when 171 is divided by 43 + (x + 5 - 1).
42
Suppose 3*d + 0*w + w = 210, 0 = 5*w. Let t = -333 - -483. Suppose -4*n + t = -d. Calculate the remainder when n is divided by 14.
13
Let q = 500 - 497. Let f(g) = -g**2 + 2*g - 5. Let w be f(7). Calculate the remainder when w/(-5) - 1*-2 is divided by q.
1
Let u = 1428 - 1405. What is the remainder when 259 is divided by u?
6
Let d(s) = s**2 + 22*s - 159. What is the remainder when 12 is divided by d(-28)?
3
Suppose 0 = l - w + 1, 2*l = l - 2*w - 16. What is the remainder when 16 is divided by ((-12)/9 + 1)*l?
0
Let v be ((-10)/(-15))/((-6)/(-27)). Suppose 2*o - v*x = -2*x + 71, 0 = -5*o - 3*x + 183. Calculate the remainder when 1046/10 - (-2)/5 is divided by o.
33
Suppose -5*i + 13 = -4*i. Suppose -i = 3*a - 4*a. What is the remainder when 25 is divided by a?
12
Let y = -67 + 88. Let h(l) = -l**3 - 5*l**2 - l - 2. Let q be h(-6). Let p = 22 + q. Calculate the remainder when p is divided by y.
20
Suppose 52 - 7 = 2*m - 5*d, 0 = 3*m - d - 48. Let o = -135 + 163. Calculate the remainder when o is divided by m.
13
Suppose 3 = p, 5*r + 5*p + 21 = 7*r. What is the remainder when 128 is divided by r?
2
Let w(y) = 2*y**2 - y + 7. What is the remainder when 328 is divided by w(3)?
20
Let t = -30 - -45. Suppose 4*u - 2*u = -s + 172, -5*u + 436 = s. Calculate the remainder when u is divided by t.
13
Let t(n) = -n**2 + 31*n - 26. What is the remainder when 17 is divided by t(30)?
1
Suppose 817 = 23*n - 34. What is the remainder when 75 is divided by n?
1
Let g(a) = a**3 + 6*a**2 - 7*a + 4. Let c be g(-7). Suppose 22 = c*k - 70. Calculate the remainder when 89 is divided by k.
20
Let q(k) = k**2 - 10*k + 7. Let f be q(10). Let d(m) = 2*m**3 - 2*m**2 - 3*m + 2. Let v be d(2). Let i = f - v. What is the remainder when 3 is divided by i?
0
Let u(c) = -6*c**2 - 2*c + 14. Let j be u(9). What is the remainder when 50 is divided by (j/(-15))/(-7)*-6?
22
Let f(t) be the third derivative of 13*t**5/30 + t**4/8 + t**3/6 + t**2. Let b(n) = 6*n + 65. Let p be b(-11). What is the remainder when f(p) is divided by 9?
6
Let x be -2*9/6*-26. Suppose 2*q - 220 = -3*p + 7*q, -p = -4*q - x. What is the remainder when p is divided by 18?
16
Suppose 0 = -h + 7 + 5. Let a = -9 + h. Suppose -s + d + 3*d = 12, -a*s - 3*d = -24. What is the remainder when 11 is divided by s?
3
Let f = 724 + -711. Let d = -2 + 10. Calculate the remainder when f is divided by d.
5
Let j = 101 - 101. Suppose -2*z - 4*z + 180 = j. What is the remainder when z is divided by 13?
4
Suppose -9 = x - 25. Calculate the remainder when 79 - ((-2)/4)/(2/(-4)) is divided by x.
14
Suppose 6*p - 9*p = -24. Let d be (-3)/((-4)/(16/(-6))). Calculate the remainder when p is divided by 13/3 - d/3.
3
Suppose 0 = 7*z - 41 - 92. Let c = 5 + z. What is the remainder when c is divided by 14?
10
Let x = -482 - -494. What is the remainder when 42 is divided by x?
6
Let l(h) = 20*h + 2. Suppose 5*y + 35 = t, -t + 67 = 2*t + 4*y. Calculate the remainder when l(6) is divided by t.
22
Suppose 2*r + 80 = 6*r. Let s = -16 + r. Suppose -s*d + 3*d + 3 = 0. What is the remainder when 6 is divided by d?
0
Let s(t) = t + 10. Let a = 1400 + -1333. Calculate the remainder when a is divided by s(0).
7
Let s = 124 - 74. Suppose 2*c = -3*z + 99, z - 3*z + s = c. Calculate the remainder when c is divided by 17.
14
Let f(s) = -80*s**3 + s**2 + s. Let x be f(1). Let p = x - -112. What is the remainder when 99 is divided by p?
31
Let t = 107 - 30. What is the remainder when 98 is divided by (-2)/(-7) - (-1903)/t?
23
Let i = -502 - -529. Calculate the remainder when 214 is divided by i.
25
Suppose 6*g - 822 = -24. Suppose 35 + g = 6*s. Calculate the