Suppose 10 = 3*k + 2*k. Suppose 0 = 2*o + 4*u - k, 3*u + 9 = 4*o - 17. Suppose 6 = -3*c + o*c. Calculate the remainder when 4 is divided by c.
1
Let j(x) = x**2 + 18*x - 119. Calculate the remainder when 98 is divided by j(-24).
23
Suppose 0 = 2*i - 41 - 7. Suppose 35 = 2*b + 5*j, 0 = -0*b - b + 4*j - 15. Suppose -n = -b*n + i. What is the remainder when n is divided by 4?
2
Let n(y) = 2*y**2 + 5*y + 7. Calculate the remainder when n(-6) is divided by 13.
10
Let n = -60 - -107. What is the remainder when n is divided by 12?
11
Suppose 4*k = -229 + 585. Let p = k - 63. What is the remainder when p is divided by 9?
8
Let c(l) = l**2 - 11*l + 12. Let b be c(9). Let x = 10 + b. What is the remainder when 11 is divided by x?
3
Let r = 85 + -75. Calculate the remainder when 77 is divided by r.
7
Let b = -16 + 40. Suppose -9 = 2*d - 35. What is the remainder when b is divided by d?
11
Let w(u) = u**2 + 8. Let d be w(0). Let g(j) = j**3 - 7*j**2 - 6*j + 5. What is the remainder when 41 is divided by g(d)?
20
Let s(z) = 59*z**2 + 2*z - 2. Calculate the remainder when s(1) is divided by 30.
29
Suppose 52 = 3*m - 0*m + 4*v, 5*m - v = 102. Let j = -13 + m. What is the remainder when 26 is divided by j?
5
Suppose -13 = -3*k + 35. Calculate the remainder when 62 is divided by (5 - 3)*(k + 0).
30
Suppose 0 = 3*t + 5*u - 80, 4*u = -2*t - 0*u + 56. What is the remainder when 59 is divided by t?
19
Let k = 15 + -35. Let o = -12 - k. Calculate the remainder when 15 is divided by o.
7
Suppose 12 = -5*v + 57. What is the remainder when 33 is divided by v?
6
Let w = -21 - -38. Let i(b) = 9*b**2 + b - 1. What is the remainder when w is divided by i(1)?
8
Suppose 4*v - v = 534. Suppose 5*o - 172 - v = 0. Calculate the remainder when o is divided by 24.
22
Suppose h + 58 = -2*b + 15, 46 = -2*b - 2*h. Calculate the remainder when 15 - (3 + b/4) is divided by 10.
7
Suppose -15*h = -16*h + 23. What is the remainder when 112 is divided by h?
20
Let r = 7 - -14. What is the remainder when r is divided by 8?
5
Suppose 105 = 5*c + 20. Suppose 82 + 158 = 5*z. Calculate the remainder when z is divided by c.
14
Let t(a) = -a - 3. What is the remainder when 25 is divided by t(-12)?
7
Suppose -3*x + 19 - 4 = 0. Let j = 8 - x. What is the remainder when 8 is divided by j?
2
Let h = -49 + 73. Suppose 2*z + 192 = 6*z. Suppose -z = -4*c + 4. Calculate the remainder when h is divided by c.
11
Suppose 2*o - 4*o = -6. Suppose -z = o*z - 224. Calculate the remainder when z is divided by 29.
27
Suppose -3*x + 2*j - 4 = 8, 0 = 2*j. Let g = x + 9. Suppose 0 = 3*h + g*q - 1, -h + q = -3*h + 10. What is the remainder when 20 is divided by h?
6
Let v(i) = i + 5. What is the remainder when 25 is divided by v(2)?
4
Suppose 14*y = 20*y - 90. What is the remainder when 43 is divided by y?
13
Suppose 4*s - 5 = -1. Suppose 4*n - s - 11 = 0. Suppose -3*t - 6 = -5*j - 42, n*j + 25 = 2*t. What is the remainder when t is divided by 6?
5
Suppose 4*q - 4*x + 56 = 0, 16 = -4*q - 5*x - 31. Let z = q + 22. Let p(o) = -7*o - 15. Calculate the remainder when p(-7) is divided by z.
7
Let m = 0 - -9. What is the remainder when 71 is divided by m?
8
Let c(j) = -9*j + 4. Let i(p) = -26*p + 12. Let b(w) = 14*c(w) - 5*i(w). Calculate the remainder when b(3) is divided by 3.
2
Let q be ((-15)/5)/(6/20). What is the remainder when ((-4)/10)/(q/350) is divided by 8?
6
Let w(l) = 4*l - 3. Let t = 14 - 6. Calculate the remainder when 56 is divided by w(t).
27
Let u(s) = -2*s + 5. Let n be u(-5). Suppose 2*b - 5*f + n = -3*b, 4*b + 10 = 2*f. What is the remainder when 8 is divided by b*(15/(-6) + 1)?
2
Suppose -v = 2*v + 12. Let b = 8 + v. Let w = b - 1. What is the remainder when 8 is divided by w?
2
Let j = 0 + 2. Let h be (j/(-4))/(1/6). Let x = -2 - h. What is the remainder when x is divided by 1?
0
Suppose 6 = z - w, -2*z + z = 3*w - 22. Let t = -56 + 122. Suppose 2*k - 3*c = -0*c + t, -c - 112 = -4*k. What is the remainder when k is divided by z?
7
Suppose 70 = -3*o + 10*o. Calculate the remainder when 15 is divided by o.
5
Let o(c) = -c**3 + 5*c**2 + 7*c - 3. Let k(x) = -x + 1. Let l be k(1). Let m = 6 - l. What is the remainder when o(m) is divided by 2?
1
Let w(t) = -13 + 2*t + 2 + 2. Calculate the remainder when w(8) is divided by 3.
1
Let f(o) = o - 1. Let n be f(3). Suppose 48 = y + n*y. Calculate the remainder when 20*(0 - 6/(-4)) is divided by y.
14
Let y(d) be the second derivative of d**5/20 - d**4/12 - d**3/6 + d**2/2 - 9*d. Calculate the remainder when 3 is divided by y(2).
0
Let m = -98 + 116. What is the remainder when 105 is divided by m?
15
Suppose 3*p + j = 1 + 18, 5*p = 4*j + 26. Suppose 0 = g + 3*s + p, -2*g + 1 + 31 = -5*s. Let k = 19 - 3. What is the remainder when k is divided by g?
4
Let n(q) = 8*q - 3. Let s be n(4). Suppose -s = -4*t + 3*k, 3*k - 19 = t - 3*t. Let c = -8 + 21. Calculate the remainder when c is divided by t.
5
Let c = 20 + -18. What is the remainder when c is divided by 1?
0
Suppose -u - 3*u + 76 = 0. Let k(x) be the first derivative of -x**3/3 + 6*x**2 - 1. Calculate the remainder when k(6) is divided by u.
17
Calculate the remainder when (-10)/35 - (-240)/7 is divided by (10/4 + -2)*24.
10
Let b(l) = 45*l - 20*l + 3 - 2. What is the remainder when b(3) is divided by 26?
24
Let r(o) = -o**3 + 18*o**2 + 19*o + 3. Let q be r(19). Let z = 8 + 4. Calculate the remainder when (-312)/(-9) + (-2)/q is divided by z.
10
What is the remainder when 37 is divided by -8 - 16/(-4) - -23?
18
Let m(h) = -2 - 2*h**3 + 2 + 2 - 2*h**2. Let j(c) = c**3 - 2*c**2 - 2*c + 4. What is the remainder when j(4) is divided by m(-2)?
8
Let r be (4 - -8) + 3 - -4. What is the remainder when 75 is divided by (r + 0)/(3 + -2)?
18
Suppose 0 = 3*j - j - 10. Let t = 5 - j. Suppose 5*h - 43 = k, t = h - 4*k + 1 - 2. What is the remainder when 16 is divided by h?
7
Let l = 24 - 21. Suppose 2*v - 18 = -v. Suppose 4*w - w - v = 0. What is the remainder when l is divided by w?
1
Let l = -5 - -14. Let u = l + -5. Suppose 2 = o + 4*g - 1, 5*g - 23 = -u*o. Calculate the remainder when 13 is divided by o.
6
Suppose 3*z + 0*z = -5*d + 389, 2*z + 3*d = 261. Let a = z + -81. Calculate the remainder when a is divided by 12.
9
Let w(x) = x**3 + x**2 + x + 11. Let j(k) = k**2 - 3*k + 3. Suppose l + 15 = 3*f, 2*f + 3 = 3*f - l. What is the remainder when j(f) is divided by w(0)?
10
Let n(k) = k**3 - 13*k**2 + 19*k - 51. What is the remainder when n(12) is divided by 7?
5
Let v = 2 + 0. What is the remainder when 1*3*(-41)/(-3) is divided by (21/v)/((-6)/(-8))?
13
Suppose d + d - 14 = -4*l, -5*l + d + 21 = 0. Suppose -2*s - 2 = -l*s. Calculate the remainder when 1 is divided by s.
0
Let f(o) = -o**3 + 8*o**2 - 5*o. Let i(c) = c**3 - 4*c**2 + 3. Let w be i(4). Suppose -u = -w - 4. What is the remainder when f(u) is divided by 8?
6
Let i(g) be the first derivative of -g**2 - 2*g - 1. Suppose -w + 22 = -4*h, w - 6*h + 3*h - 18 = 0. Calculate the remainder when w is divided by i(-3).
2
Let x be (-2)/(3/(78/(-4))). Suppose -4*r - 4*n + 47 = -x, 2*r - 3*n = 25. Calculate the remainder when 53 is divided by r.
11
Suppose 3*f - 5*b - 22 = 0, -6*f + 2*f + 41 = 5*b. Calculate the remainder when 33 is divided by f.
6
Suppose 2*j + 2*w + 12 = 0, 0 = 4*j - 3*w + 41 - 10. Let y = 13 - 17. Let v = y - j. Calculate the remainder when v is divided by 2.
1
Suppose -2*l = -0*l - 8, 2*q = l + 2. Suppose -2 = -4*d + q*d. Suppose -4*k - d*s - 2*s = -60, -3 = 3*s. What is the remainder when 46 is divided by k?
14
Let s = 10 - 3. Let z = 1 + s. Calculate the remainder when z is divided by (-3)/(-12) - (-22)/8.
2
Suppose 15 = 4*s - 121. What is the remainder when 2*1*(-202)/(-4) is divided by s?
33
Let t = -53 + 61. What is the remainder when t is divided by (-5)/(-1*(1 + 0))?
3
Suppose 0 = -2*j - 2*j. Suppose j = -a + 3*f - 3, f = 3*a - f - 26. Calculate the remainder when a is divided by 7.
5
Let u = -28 - -50. What is the remainder when u is divided by 2/(-8) + (-66)/(-8)?
6
Let q(i) = i**2 + 3*i + 6. Let s be q(-5). Suppose s = 2*d - 3*a, 4*d - 18 = -d + 2*a. Suppose u = d*u - 14. What is the remainder when 26 is divided by u?
12
Suppose 2*i + 14 = 2. Suppose -5*w + 115 = 5. What is the remainder when w is divided by (2 + 21/i)*-4?
4
Let i(z)