e remainder when k is divided by t.
12
Let l = -6 - -8. Suppose -q = 5*d - 51, 2*d + 4*q + 4 - 10 = 0. Suppose x + d = l*x. What is the remainder when 20 is divided by x?
9
Let r = 2 - 0. Suppose v - 16 = -r*x, -76 + 20 = -3*v - 2*x. Suppose s = -3*s + v. Calculate the remainder when s is divided by 2.
1
Let k = 4 - -14. Let o = 25 - -28. What is the remainder when o is divided by k?
17
Let t(y) = -3*y + 1. Let h be t(-1). Calculate the remainder when 28 is divided by 2/4*h - -8.
8
Suppose 2*a + 4 = -2*a. Let r be (-1 + 1*-14)*a. What is the remainder when 25 is divided by (65/r)/(2/6)?
12
Suppose -8 = -2*r, 0 = -3*y + 4*r - 1 - 12. Calculate the remainder when ((14 - y)*-1)/(-1) is divided by 5.
3
Let j be ((-82)/(-3))/(6/45). Suppose 5*i - 2*a = 193, 5*i + 3*a - j = 8*a. Calculate the remainder when i is divided by (-192)/(-10) + 2/(-10).
18
Let z(a) be the second derivative of -a**5/20 + a**4/6 + 2*a**3/3 + a**2 - a. What is the remainder when 19 is divided by z(-2)?
9
Suppose 5*x = m - 0 - 28, 12 = -m - 3*x. Suppose -2*u - u = -24. What is the remainder when u is divided by m?
2
Let c(f) = -1 + 9*f - 15*f + 37*f + 0. Calculate the remainder when c(2) is divided by 16.
13
Let w(u) = 1 - 3 + 0 + u. Let x = 5 + -1. What is the remainder when 5 is divided by w(x)?
1
Suppose -14 = -3*q + 2*q. Calculate the remainder when 40 is divided by q.
12
Let i(v) = -v**3 + 4*v**2 + 4*v. Let g be (3 + 15)/(9/12). Let n = g - -23. Calculate the remainder when n is divided by i(4).
15
Suppose 4*i + 0*z = -4*z + 40, 3*z + 33 = 4*i. Suppose 0 = -5*l + 3*d + 9, -l - d + 3 + 2 = 0. Calculate the remainder when i is divided by l.
0
Suppose -5*b = 10, -5*z + 5*b - 10 = -0. Let v be (-84)/9 + z/(-12). Let p = -1 - v. Calculate the remainder when p is divided by 3.
2
Suppose 116 = 5*l - 4. What is the remainder when l is divided by 7?
3
Let v(t) = -16*t**3 + t**2 + 1. What is the remainder when v(-2) is divided by 34?
31
Let v(s) = -s**3 - 5*s**2 + 7*s - 3. Let g be v(-6). Let b = g - -23. What is the remainder when 25 is divided by b?
11
Let p be 2/6 + 48/18. Let o = p - -5. What is the remainder when o is divided by 2/(16/(-10) + 2)?
3
Suppose -8*z + 106 = -22. What is the remainder when 77 is divided by z?
13
Calculate the remainder when 41 is divided by (-120)/(-9) + 4/6.
13
Let p = -20 + 24. Suppose -2*a + a = -3. Calculate the remainder when p is divided by a.
1
Suppose 6*j - 33 = -q + j, 0 = -2*q - 4*j + 42. What is the remainder when 50 is divided by q?
11
Let b = -168 - -208. What is the remainder when b is divided by 14?
12
Let y = 4 + 0. Suppose -3*f - 2*m = -8*f + 97, -4*m = y. Calculate the remainder when 36 is divided by f.
17
Let f = -14 - -26. Suppose w + 1 - 58 = 0. Suppose -4*z - w = -197. What is the remainder when z is divided by f?
11
Let y = 31 - 7. Suppose w = 52 - 5. What is the remainder when w is divided by y?
23
Let o(s) = s**2 + 4*s + 3. Calculate the remainder when 14 is divided by o(-5).
6
Let c = 49 - 33. Let l be (-102)/27 - 4/18. What is the remainder when c is divided by l/12 + 56/6?
7
Let q(d) = d**3 - 11*d**2 + 10*d + 24. What is the remainder when q(10) is divided by 4/(-18) + 119/9?
11
Let k = 30 - 24. Calculate the remainder when 21 is divided by k.
3
Let l = 181 - 129. Suppose 0 = -4*d - 2*p - 17 + 89, -4*d = 5*p - 72. Calculate the remainder when l is divided by d.
16
Suppose 0 = 4*u - 274 + 6. What is the remainder when u is divided by 23?
21
Let k = 19 + -11. Suppose -i - k = -3*i. Let m = i + 7. Calculate the remainder when m is divided by 6.
5
Let j(b) = b**3 - 5*b**2 + 4*b - 7. What is the remainder when -4*(-85)/20 - -6 is divided by j(5)?
10
Suppose j + 62 = -0*r - 2*r, -4*j = -3*r + 292. Calculate the remainder when 0 - (j + 9/3) is divided by 17.
16
Suppose 8*b + 42 = 5*b. Calculate the remainder when 41 is divided by 3/6 + (-189)/b.
13
Let i = 1 - -14. Suppose -g - 2*g = -i. Suppose g*w = 3*q - q - 38, 2*w + 74 = 5*q. Calculate the remainder when 40 is divided by q.
12
Let f = 32 + -21. Suppose 2*u = -3*h + 65, 4*h + 2*u = -39 + 125. Calculate the remainder when h is divided by f.
10
Suppose 0 = 19*v - 15*v. Suppose -h + 3*i + 43 - 11 = v, -4*h + 92 = -3*i. Suppose 2*s = 3*s - 59. Calculate the remainder when s is divided by h.
19
Let n be 4*1 - (-10 - -12). Calculate the remainder when 19 is divided by 183/27 + n/9.
5
Suppose 6*z - 48 = 30. What is the remainder when 49 is divided by z?
10
Let o = -7 - -13. Calculate the remainder when 43 is divided by o/(-21) - 326/(-14).
20
Let q(d) = 2*d**2 - 3*d - 4. Suppose -3*b = -18 - 9. Calculate the remainder when b is divided by q(3).
4
Calculate the remainder when 78 is divided by (574/21 + 6)*(-12)/(-10).
38
Let c(t) = -t**2 + 4. Let j be c(-3). Let u = 4 - j. What is the remainder when u is divided by 3?
0
Calculate the remainder when 83 is divided by (-3)/((-15)/106) + (-4)/20.
20
Let q(k) = 3*k - 2. Calculate the remainder when 11 is divided by q(3).
4
Suppose -3*c = -d - 121, -4*d = 5*c - 110 - 103. What is the remainder when c is divided by 2/4 - (-27)/2?
13
Let j be (42/2 - 0) + -1. Suppose 4*r = -j, -5*i - r + 1 = -19. Calculate the remainder when 13 is divided by i.
3
Let u = -58 + 104. What is the remainder when u is divided by 8?
6
Suppose m + 55 = -0*m - 4*i, -4*m + 3*i = 144. Let s(b) = -2*b**3 - b**2 - b - 2. Let o be s(-2). What is the remainder when 37 is divided by 4*(m/o)/(-1)?
11
Let l = -1 + 2. Let f(g) = 2*g + 1. What is the remainder when f(1) is divided by l?
0
Let m(y) = 1 + 2*y - 3*y - 5*y + y**2 + 5*y. Let z be m(-5). Suppose u + z = 2*u - 3*o, -o = 3. What is the remainder when u is divided by 8?
6
What is the remainder when 36 is divided by ((-21)/6)/(-7) - 45/(-6)?
4
What is the remainder when -2 - (-1)/((-2)/(-70)) is divided by 7?
5
Suppose 0 = -2*w - 3*d + 81, 0 = -5*w - 3*d + 5*d + 174. Calculate the remainder when w is divided by 8.
4
Let y = 24 + -18. Let x(q) = 9*q**2 - 1. What is the remainder when x(2) is divided by y?
5
Let b(m) = -m**2 - 7*m - 2. Let i be b(-7). Calculate the remainder when 79 is divided by (20/(-3))/(i/6).
19
Let v = -4 + 4. Let w(y) = y**3 - 15 - 2*y + 37 + 3*y. Calculate the remainder when w(v) is divided by 12.
10
Suppose 0 = 2*o + 1 - 11. Suppose -8 = -0*n - n - 5*l, -4*n + 32 = 2*l. Let w = n - o. Calculate the remainder when 8 is divided by w.
2
Let w = -34 + 51. What is the remainder when 31 is divided by w?
14
Suppose 5*g - 30 = 10. Let s = g - 4. Calculate the remainder when 10 is divided by s.
2
Suppose 0 = -4*o, 308 = 4*r + o + o. What is the remainder when r is divided by 20?
17
Let a(p) = -2*p**3 + 4*p**3 - 3*p**3 - 8 - 8*p**2 - 9*p. Suppose -4*t + 14 = -3*i - 19, -2*t - 8 = 2*i. Calculate the remainder when 11 is divided by a(i).
5
Suppose -3*j = -8*j - 5*d - 5, -d = 4*j + 4. Suppose -2*r - r = -24. Calculate the remainder when r is divided by j/1 - (-4 + 0).
2
Suppose -3*p - 38 = 5*g - 185, 0 = 2*g + 2*p - 58. Let l be g/(-9)*18/(-4). Calculate the remainder when ((-4)/(-5))/(6/l) is divided by 1.
0
Let f = 0 + 0. Suppose 3*m = -3*g + 27 - 0, f = 2*g + 10. Suppose 3*j - 13 = -2*x, 0 = 4*x - 2*j - 9 - 25. Calculate the remainder when m is divided by x.
6
Let o = 55 - 43. What is the remainder when 34 is divided by o?
10
Let y(z) be the second derivative of z**5/20 + 7*z**4/12 - 3*z**2 - 3*z. Calculate the remainder when y(-6) is divided by 8.
6
What is the remainder when 29 is divided by ((-24)/(-20))/((-15)/(-100))?
5
Suppose 5*k - 25 = -5. Suppose -k*p + 3*p = -35. What is the remainder when p is divided by 9?
8
Let y = 74 + -35. What is the remainder when y is divided by 16?
7
Suppose 2*i - i - 4 = 0. What is the remainder when 15 is divided by i?
3
Let x be 2 + -3 - -4 - 1. Suppose 0 = x*k - 3*w - 15, -3*k - w + 55 = w. Calculate the remainder when k is divided by 1/2 - 15/(-2).
7
Suppose -10 + 2 = -2*u. Suppose f - u*y = -8*y + 10, 2*f = -y + 6. What is the remainder when f*-5*(-14)/4 is divided by 18?
17
Let v = 45 - 22. What is the remainder when v is divided by 8?
7
Let q be (2/(-1))/2 + 0. Let a = q - -20. Calculate the remainder when a is divided by 7.
5
Suppose -i - 8 + 8 = 0. Let v = 22 + -6. Suppose 3*o - v - 17 = i. What is the remainder when 42 is divided by o?
9
Let c(x) = 4*x**2