e 73*z - 84 = 69*z. Calculate the remainder when 68 is divided by z.
5
Suppose f - 114 = -2*f. Calculate the remainder when f is divided by 13.
12
Calculate the remainder when 67 is divided by -17*2*3/(-6).
16
Let j(l) be the third derivative of l**6/120 - 3*l**5/20 + l**4/2 + l**2. Calculate the remainder when j(8) is divided by 11.
10
Suppose 0 = -8*x + 113 - 9. What is the remainder when 34 is divided by x?
8
Let s(j) = j**2 - 12. Suppose -18 = 4*k + 2. What is the remainder when 36 is divided by s(k)?
10
Let z(y) = 4*y**2 + y + 5. What is the remainder when z(5) is divided by 37?
36
Let c(l) = 17*l**2 - 2*l + 2. Let i be c(2). Let v = -20 + i. What is the remainder when v is divided by 12?
10
Let k = -2 + 6. Suppose k*b = 9*b - 110. Suppose 4*j + 3*y - 24 = 3*j, 4*j + 5*y - 68 = 0. What is the remainder when b is divided by j?
10
Calculate the remainder when 41 is divided by 13 - (-2)/(-2)*-2.
11
Let l(v) = v**3 + 3*v**2 + 2*v + 1. Let t be l(-2). Let j = t + 6. Calculate the remainder when 20 is divided by j.
6
Let q(g) = g**2 - 2*g - 1. Let v be 2/(-7) - 23/(-7). What is the remainder when 4 is divided by q(v)?
0
Let b be ((-4)/(-6))/((-4)/(-30)). Let p be (13/3 - 4)*-201. Calculate the remainder when 24 is divided by (-14)/35 - p/b.
11
Suppose 8*s - 4*s = 4*i + 4, 4*s + 5*i = 22. What is the remainder when 47/(s - (-4 - -6)) is divided by 25?
22
Let l = -5 - -11. Let s(i) = -5*i + 7*i**2 - i**2 - i**3 + 0*i**2 + 4. Calculate the remainder when l is divided by s(5).
2
Let h(f) = -2*f**3 + f**2 + f + 1. Let v be h(2). Let q = 56 + -27. Calculate the remainder when q is divided by ((-6)/4)/(v/60).
9
Suppose 0 = 2*h - 0*h. Suppose 4*x = -h*x + 24. Calculate the remainder when 10 is divided by x.
4
Suppose 59 = 4*n - 61. Calculate the remainder when n is divided by 11.
8
Suppose -2*m - 14 + 46 = 0. Suppose -3*n = -3*h + h + 23, 0 = -n + 2*h - 1. Let b = 17 + n. What is the remainder when m is divided by b?
4
Let j = 138 + -41. Suppose -4*h = -55 - j. What is the remainder when h is divided by 8?
6
Let w be (1/(-3))/(1/3). Let l = 5 + w. What is the remainder when (-2 - -10) + (2 - (8 - 4)) is divided by l?
2
Let s(v) = 164*v + 6. Let n be s(6). Calculate the remainder when 46 is divided by n/40 - (-3)/(-4).
22
Let z = -21 + 38. What is the remainder when 30 is divided by z?
13
Suppose 8*f - 90 = 3*f. What is the remainder when 50 is divided by f?
14
Suppose -3*h - 2*h = 115. Let l = 41 + h. What is the remainder when 35 is divided by l?
17
Let w(i) = 12*i**2 - 6 + 6 + 1 + 2*i. Calculate the remainder when 20 is divided by w(-1).
9
Let c(k) = k + 15. Let x(v) = -3*v**3 - 6*v**2 - 3*v - 3. Calculate the remainder when x(-4) is divided by c(12).
24
Suppose 5*b + 2*z = 4*z + 23, 5*z = 3*b - 29. Suppose 2*r - 40 = -3*f, 4*r - 2*f - 100 = -b*f. Let m = 59 - r. What is the remainder when m is divided by 17?
16
Let l(g) = -2*g + 2. What is the remainder when 2 is divided by l(0)?
0
Let v(a) = 11*a**2 + 2*a + 1. What is the remainder when 1*-95*(-2)/5 is divided by v(-1)?
8
Let a(m) = -6*m - 1. Let q be a(-1). Suppose 3*v + 2*b - 137 = 0, 3*v - q*b - 130 = -0*b. Let c = 12 + 11. What is the remainder when v is divided by c?
22
Let c(s) = 11*s**2 - 4*s + 3. Let m be (62/6)/(7/21). Let d = -11 + m. Calculate the remainder when c(2) is divided by d.
19
Let d(k) = k**2 - 3*k + 3. What is the remainder when 6 is divided by d(3)?
0
Suppose -2*c - 4*n + 2*n + 86 = 0, -5*c + 3*n = -247. Suppose -2*o - 2*o = -3*b + 49, -3*b + 2*o + c = 0. Calculate the remainder when b is divided by 8.
7
Suppose l - 4 = 10. Let a(v) = 2*v + 7. Let n be a(-5). Let s = n - -8. What is the remainder when l is divided by s?
4
Suppose 2*a + 11 + 1 = 0. Calculate the remainder when 47 is divided by ((-16)/a)/(2/12).
15
Suppose -2*k + k = -7. Let n(r) = -r**3 - r**2 + r + 3. Let b be n(0). Calculate the remainder when ((-12)/5)/(b/(-15)) is divided by k.
5
What is the remainder when 143 is divided by (1 + (-8)/(-4))/((-4)/(-48))?
35
Suppose 4*v = -z - 2*z + 17, 4*v - 37 = z. Calculate the remainder when 14 is divided by v.
6
What is the remainder when 63 is divided by (-1)/1 - (-12)/8*8?
8
Let d(h) = -h**3 - 7*h**2 + 8*h - 4. Let b be d(-8). Let p = 7 - b. Calculate the remainder when 32 is divided by p.
10
Let y(c) = -2*c - 3 + 11 + 0*c. Let x = 59 - 65. Calculate the remainder when 37 is divided by y(x).
17
Let h(b) = 1 + 5*b + 4 - 2 + 1. What is the remainder when h(9) is divided by 13?
10
Let r = -4 - -6. Suppose -2*k = r*k - 52. Calculate the remainder when 37 is divided by k.
11
Calculate the remainder when 4/((-4)/(-7)) - 2 is divided by 2.
1
Let b be ((-2)/(-6))/((-6)/(-144)). Let v = 9 - b. What is the remainder when 2 is divided by v?
0
Calculate the remainder when -3 + (8 - 0) + 40 is divided by 16.
13
Let a = -11 - -14. Suppose 30 = -0*w + a*w. What is the remainder when 18 is divided by w?
8
Let y(l) = -10*l**2 + 1. Let o be y(1). Let m = -6 - o. What is the remainder when 10 is divided by 3/(-2)*(-8)/m?
2
Suppose -232 = -k + 5*k. What is the remainder when k/6*(-10 + 4) is divided by 20?
18
Suppose 0*i = -i + 2. Suppose 1 = i*q - 5. What is the remainder when 4 is divided by q?
1
Let g be (-2)/(-4)*18/1. Suppose -s = 4*a - g*a + 2, 10 = 5*a. Calculate the remainder when 22 is divided by s.
6
Suppose 5*o = 5*v + 20, -o - v = -0*o - 14. What is the remainder when 11 is divided by o?
2
Calculate the remainder when 37 is divided by 1 + 32/2 + -4.
11
Let w = -116 + 202. Suppose 5*k - 6*p - w = -3*p, -p = 2. What is the remainder when 77 is divided by k?
13
Let l(d) = 3*d**3 + 8*d**2 - 6*d. Let q(x) = -4*x**3 - 9*x**2 + 7*x - 1. Let u(s) = -3*l(s) - 2*q(s). What is the remainder when 67 is divided by u(-7)?
21
Suppose 5*k - 2*k + 3 = 4*z, -4*k + 4*z = 0. Suppose k*d + 50 = 5*d. Calculate the remainder when d is divided by 13.
12
Let f = 27 + 4. Calculate the remainder when f is divided by 9.
4
Suppose -2*o - o - 12 = 0. Suppose -6 = -2*i + 3*t + 49, 2*i - 57 = t. Let s = i + o. Calculate the remainder when s is divided by 13.
12
Let u be -3*(-2)/3 - 149. Suppose -5*x = -3*x + 18. What is the remainder when u*(-2 + (-15)/x) is divided by 17?
15
Suppose -4*x + 100 = 4*r, -5*x - 2*r + 94 = -x. What is the remainder when x is divided by 8?
6
Suppose 0 = -4*p + 5*p - 23. What is the remainder when p is divided by 6?
5
Suppose -2*l = -1 - 21. Calculate the remainder when 72/(-180) + 87/5 is divided by l.
6
Suppose 4*i - 7*i = 18. Let j(w) = w**2 + 2*w - 10. What is the remainder when 25 is divided by j(i)?
11
Suppose 0 = m - 0*m - 4*w + 3, 5*m + 2*w = 73. What is the remainder when 9/(-6)*(-300)/18 is divided by m?
12
Let t = 5 - 5. Suppose -5*r - 5 = 4*b + 2, t = -5*b - 5*r - 5. Calculate the remainder when b is divided by 2.
0
Suppose 0 = -3*z + 15. Suppose -a - a + 4*c = 12, 3*a + 7 = -z*c. Calculate the remainder when a*(1/(-1) - 3) is divided by 9.
7
Suppose 4*b = -19 + 131. Let o = 8 + -2. Calculate the remainder when b is divided by o/21 - 136/(-14).
8
Let j = 53 + -29. Calculate the remainder when 45 is divided by j.
21
Let q = 52 + 19. Let n = q + -38. What is the remainder when n is divided by 17?
16
Let k(f) = -8*f - 6 + 5*f - 1. Let a be k(-5). Suppose 0 = -i - i + a. Calculate the remainder when i is divided by 2.
0
Let y(w) = -w**3 - 3*w**2 + 3*w + 2. Let j be y(-4). Suppose -j - 5 = -q. Calculate the remainder when q is divided by 4.
3
Suppose 3 = z - 7. Let h(f) = -26*f**3 - 2*f - 1. Let v = -17 + 16. Calculate the remainder when h(v) is divided by z.
7
Let i be (-2)/5 - (-17)/5. Let t(g) = -g**3 + 5*g**2 - 4*g - 1. What is the remainder when 9 is divided by t(i)?
4
Let t = 46 - 21. Suppose -5*c - 4*p + 24 + 329 = 0, 4*c - 283 = -3*p. What is the remainder when c is divided by t?
23
Suppose 5*h + 13 = -5*a + 43, 3*h - 2*a = -7. What is the remainder when (7/49)/(1/7) is divided by h?
0
Let c(w) be the first derivative of -w**4/4 - w**3/3 + w**2 - 2*w - 1. Let p(n) = -6*n + 3. Calculate the remainder when p(-6) is divided by c(-3).
9
Let v(r) = -r**2 + 49. Calculate the remainder when v(0) is divided by 17.
15
Let x(d) = d**3 + 4*d**2 - 6*d - 3. Let q be x(-5). Let j be 1/1*(2 - q). Calculate the remainder when -1*(-54 + j) + -2 is divided by 18.
16
Calculate t