et i(x) = 2*x**3 - 5*x**2 - 2. Calculate the remainder when i(4) is divided by 12.
10
Suppose 3*t - 2*t - 7 = 0. Let z(y) = 18*y**2 + y. What is the remainder when z(-1) is divided by t?
3
Let k = -3 + 11. Let v be 2 + -3 - -1 - 0. Let i(q) = -q**2 - q + 22. Calculate the remainder when i(v) is divided by k.
6
What is the remainder when (26 - 0)/((-18)/(-54)) is divided by 20?
18
Let g = -29 - -49. Calculate the remainder when 78 is divided by g.
18
What is the remainder when 7 is divided by (1/(-1))/(4/(-12))?
1
Let h be (-4)/12 + (-2)/(-6). Suppose -c + y + 2 = c, h = -4*y + 8. Calculate the remainder when 5 is divided by c.
1
Let c = 5 - 3. Suppose 98 = 4*z + 5*m, -2*m + c = -2. Calculate the remainder when z is divided by 8 - 0*2/4.
6
Suppose 3*g - 60 + 18 = 0. Suppose 0 = -4*m - m - 10. Let c(w) = 11*w**2 + 3*w + 2. What is the remainder when c(m) is divided by g?
12
Let z(r) = -r**3 + 9*r**2 - 6*r - 5. Suppose 32 = 11*k - 7*k. Calculate the remainder when z(k) is divided by 3.
2
Suppose 4*r = 6*r + 6. Let l(s) be the second derivative of s**5/20 + s**4/3 + s**3/2 + s**2 - s. Calculate the remainder when 4 is divided by l(r).
0
Let n = -102 + 310. Calculate the remainder when (n/(-24))/((-4)/6) is divided by 8.
5
Suppose -2*f = 5*x - 516, -228 = -f - 2*x + 32. Calculate the remainder when 37 is divided by f/20 - (-4)/(-10).
11
Let u(q) = -q**3 - q + 29. What is the remainder when 143 is divided by u(0)?
27
Suppose -136 = -3*s - 5*a, -5*s + 130 = -2*s + 2*a. Let o = -26 + s. Suppose 4*p = 64 + o. What is the remainder when p is divided by 7?
6
Let l be (1/4)/((-4)/(-16)). Suppose 2*x - 31 = l. What is the remainder when 46 is divided by x?
14
Suppose -3*u + 0 = -m + 17, 4*m + 4*u - 20 = 0. Suppose 3*k - m = 25. Suppose -1 = -4*i + k. Calculate the remainder when 5 is divided by i.
2
Suppose 2*y = 7*y - 50. Suppose -l - 3 = 0, 2*l = -5*z - 0*l + 184. Calculate the remainder when z is divided by y.
8
Calculate the remainder when 2 + -3 + 732/6 is divided by 31.
28
Let z = -18 - -18. Suppose y = -4*y - v + 77, z = 2*y - 4*v - 22. Calculate the remainder when y is divided by 8.
7
Suppose -2*d + 2*q + 26 = 0, 2*d + 0*q - 16 = -3*q. What is the remainder when (-84)/10*((-11)/2 - -3) is divided by 1/(d/(-6) - -2)?
3
Let f(s) = 3*s**2 - 6*s + 6. Let q(z) = -z - 4. Let c be q(-8). Calculate the remainder when f(c) is divided by 8.
6
Suppose 0 = -3*p + 6 + 18. Let v be (-17)/(-2 - 11/(-6)). Let n = v + -73. Calculate the remainder when n is divided by p.
5
Suppose -225 = -4*u + 7. Calculate the remainder when u is divided by 7.
2
Suppose -23 = -f - 3*u + 5*u, 2*u - 55 = -5*f. What is the remainder when 25 is divided by f?
12
Let w = -1 + 0. What is the remainder when ((-7)/3)/((-1)/6) is divided by 2 + 5 - (w + 0)?
6
Let h be (2 - (2 + -2)) + -2. Suppose -5*i + 3*o + 10 = h, i = 5*i + o - 25. What is the remainder when i is divided by 2?
1
Let z = 7 + 7. Calculate the remainder when z is divided by (24/(-15))/(1/(-5)).
6
Let d = 133 + -39. Suppose 4*j - 46 = d. Calculate the remainder when j is divided by 9.
8
Let m(i) = 2*i + 28. Suppose 5 = -3*r + 119. Calculate the remainder when r is divided by m(-9).
8
Suppose 3*g - 3 = -4*s, 0 = 2*s - 4*g + 4 - 0. Suppose s = -2*n + 12 - 2. What is the remainder when n is divided by 2?
1
Let a = 101 + -66. What is the remainder when 69 is divided by a?
34
Calculate the remainder when 26 is divided by 4 + (-2)/(-4)*10.
8
Suppose -r = 33 + 2. Let p = r - -102. What is the remainder when p is divided by 17?
16
Let g = -17 + 15. Calculate the remainder when 125 is divided by 1/(g/(32*-2)).
29
Let f = 12 + -4. Let s = f - 5. Suppose a + 5 = -s*q + 27, -q + 2*a = -19. Calculate the remainder when 16 is divided by q.
7
Calculate the remainder when (-7)/2*(-20)/7 is divided by 1.
0
Let o(d) = -25*d - 7. Calculate the remainder when o(-2) is divided by 23.
20
Suppose 0 = 75*z - 78*z + 63. What is the remainder when 120 is divided by z?
15
What is the remainder when (-2)/(-4)*1 - (-10975)/50 is divided by 45?
40
Suppose 53 + 22 = 5*f. Suppose 2*m - 86 = 2*y, -2*m - 3*y - 20 = -96. What is the remainder when m is divided by f?
11
Let n be -2 - -2 - -1*2. Suppose -7*z + n*z + 115 = f, -2*z + 24 = -4*f. Calculate the remainder when z is divided by 8.
6
Let w(j) = 7*j - 2. Suppose 24 = -h + 5*h. What is the remainder when w(h) is divided by 14?
12
Suppose 8*r - 206 = 7*r. Suppose 0 = -l + 1, 3*q + 75 = -2*l + r. Calculate the remainder when q/4 - 7/(-28) is divided by 6.
5
Let b be ((-4)/6)/((-6)/81). Suppose 5*a - 6 = b. Suppose -v = a*s - 4*s + 11, -5*s - v = -67. What is the remainder when s is divided by 5?
3
Suppose 23 = -q - 5*r, 0 = q - 6*q - 3*r - 5. Suppose -3*p = 12, q*v - 2*p = p + 44. What is the remainder when v is divided by 6?
4
Let g(p) = p**3 - 4*p**2 - 3. Let n be g(3). Let h = -5 - n. Calculate the remainder when h is divided by 3.
1
Let y be (-1)/4*-2*106. Let n = y - 24. What is the remainder when n is divided by 10?
9
Calculate the remainder when 121 is divided by -5 - -35 - 2*(-3)/6.
28
Calculate the remainder when 1/(4/4)*131 is divided by 34.
29
Let q = -1 + 16. Calculate the remainder when 43 is divided by q.
13
Suppose 4*n + 19 = -13. Let z = 50 + n. Calculate the remainder when z is divided by 11.
9
Let c = -247 + 954. Suppose 23 = 5*a - c. What is the remainder when a is divided by 37?
35
Let w(m) = -m + 13. Let l = 0 - -25. Suppose k - 6*k = -l. What is the remainder when w(0) is divided by k?
3
Suppose 0 = 4*k + 8, 3 = 4*z - 4*k + 19. What is the remainder when 28 is divided by (4 - 1)/(z/(-20))?
8
Let g be (-3 - -1)*1 + 3. Let w = 22 + g. Calculate the remainder when w is divided by 8.
7
Let i(h) = h**3 - 6*h**2 - 7*h. Let m be i(7). Let x be (-3 - -5) + m - -1. What is the remainder when 31 is divided by 2 - -9*(x + -2)?
9
Let j be ((-8)/10)/((-6)/135). Let z = j - 0. Suppose 5*o = 3*o + 68. What is the remainder when o is divided by z?
16
Suppose -c - 3*c + 68 = 0. What is the remainder when 220 is divided by c?
16
Let a(b) = -b + 11. Let r be a(5). Let j(p) = 6*p - 2. Let d be j(r). Suppose -5*u + 6 = -d. Calculate the remainder when 14 is divided by u.
6
Let p be 1*6*(-11)/(-22). Suppose -2*z + 65 = p*z. What is the remainder when z is divided by 8?
5
Suppose 3*r + g - 63 = 4*g, 2*r + 4*g - 48 = 0. What is the remainder when 38 is divided by r?
16
Let t be (1 + -1)*(-3 + 2). Let z = 17 - 12. Suppose d = -4*a + 23, -5*d = -t*a - z*a - 15. Calculate the remainder when 13 is divided by d.
6
Let i(l) = 6*l**2. Suppose g = -2*g + 3. What is the remainder when 22 is divided by i(g)?
4
Let q = -40 - -101. What is the remainder when q is divided by 16?
13
Let b = 79 - -53. Suppose -3*w - 114 = b. Let h = -32 - w. Calculate the remainder when h is divided by 17.
16
Calculate the remainder when 12 + 1/1 + -1 is divided by 5.
2
Let u be 6/(-8) - 99/(-4). Let a = -14 + u. What is the remainder when 17 is divided by a?
7
Let f(t) = 2*t**2 - 8*t - 5. Let g(d) = d**2 - 2*d + 2. Let c be (-6)/(-8) + (-39)/(-12). Calculate the remainder when f(6) is divided by g(c).
9
Let l = 86 + -77. Calculate the remainder when 26 is divided by l.
8
Let s = -25 - -66. Let k be (-32)/(-14) - (-8)/(-28). Suppose 6 = -k*o, -3*o + 54 = 5*d - 7. What is the remainder when s is divided by d?
13
Suppose -h - 2*t = -72, 3*h - h - 142 = -3*t. Calculate the remainder when h is divided by 14.
12
What is the remainder when (-8)/(-1) + (2 - -1) is divided by 6?
5
Let n(x) = 1 - 3*x + 4*x**2 - x + 2*x. Let k be n(1). Suppose 0 = 2*d - 5 - k. Calculate the remainder when 6 is divided by d.
2
Let u = -8 - -12. What is the remainder when 50 is divided by u/4 - (3 + -15)?
11
Suppose 0 = 5*r - 405 + 80. Calculate the remainder when r is divided by 14.
9
Let v(h) = 2*h**3 - 3*h**2 - 2*h + 4. What is the remainder when v(3) is divided by 14?
11
Suppose -8*c + 13*c - 20 = 0. Let z = 8 + c. Calculate the remainder when z is divided by 5.
2
Suppose 5*r = -2*t + 123, -r + 0*t + 30 = -5*t. Calculate the remainder when 149 is divided by r.
24
Let t(x) = 34*x - 24. Calculate the remainder when t(6) is divided by 14.
12
Suppose -2*a + 2*w = -38, -8 = -a + 2*w + 7. Let y be 60/(-70)*(6 - -1). Calculate the remainder when a is divided by 9 + 2*