ulate the remainder when 23 is divided by (2 - j) + -4 + 4.
7
Let l be 2*(-2 - (-11)/2). Suppose -5*f + 25 = -25. Let z = f - l. What is the remainder when z is divided by 2?
1
Let j be (-68)/11 - (-18)/99. Let h(p) = -p**3 - 7*p**2 - 7*p + 8. What is the remainder when 26 is divided by h(j)?
12
Let c be 0 + -14 + (9 - 7). Calculate the remainder when 43/9 - c/54 is divided by 14/6 - (-1)/(-3).
1
Suppose -2*i - 10 = -5*f - 0*i, -3*f = 3*i + 15. Suppose -4*n + 4*m + 68 = -f*m, -18 = -2*n - 2*m. Calculate the remainder when 51 is divided by n.
12
Let r be (-2)/5 - (-28)/(-5). Let m = r + 12. Calculate the remainder when 34 is divided by m.
4
Suppose 5*n = 2*n + 66. Suppose 16*l - 25*l = -576. What is the remainder when l is divided by n?
20
Let p = -184 - -196. What is the remainder when 95 is divided by p?
11
Suppose 0 = -d + 5*i + 8, -d - 6*i - 1 = -2*i. Suppose -c + 0*c = -w + 21, d = 3*c. What is the remainder when 64 is divided by w?
20
Suppose -12*a + 50 = -10*a. Calculate the remainder when 72 is divided by a.
22
Suppose 0 = 2*k - 5*k - v + 355, -2*v - 234 = -2*k. Calculate the remainder when k is divided by 30.
28
Suppose w + 2*w - 6 = 0. Suppose w*o = 5*o - 81. What is the remainder when o is divided by 10?
7
Suppose 2*i - 10 = 0, 13*i - 9*i = 2*x - 336. What is the remainder when x is divided by 46?
40
Let a = -19 - -24. Suppose 3*t - 208 = 2*f - 7*f, t + 224 = a*f. Calculate the remainder when f is divided by 15.
14
Suppose 0 = 6*o - 15 - 99. Calculate the remainder when 55 is divided by o.
17
Let o = 6 + -4. Suppose -5*t + 22 - o = 0. Suppose h - t*d = d - 5, -3*h = -d - 13. What is the remainder when 13 is divided by h?
3
Suppose 0 = -2*h - 2*a + 48, -73 = -0*h - 3*h - 4*a. Calculate the remainder when 91 is divided by h.
22
Let f(j) = 2*j**2 + 14*j + 4. Let x be f(-7). Suppose 0 = -x*d - 4*z + 76, -3*d + 3*z + 0*z + 57 = 0. What is the remainder when d is divided by 10?
9
Suppose -5*o = -o - 12. Calculate the remainder when 2 - 1 - -22 - 1 is divided by (18/4)/(o/4).
4
Suppose -2*t - 2*k = -57 + 21, 0 = -2*t - 4*k + 34. Calculate the remainder when 94 is divided by t.
18
Let p(x) = 3*x**2 - 1. Suppose 0 = -0*z + 3*z + 6. Suppose -32 = -2*i - 2*g, 4*i + 8*g = 3*g + 60. Calculate the remainder when i is divided by p(z).
9
Let w(n) = 2*n**2 - 3*n + 3. Calculate the remainder when 19 is divided by w(2).
4
Suppose 12*m - 15*m = -30. What is the remainder when m is divided by 8?
2
Calculate the remainder when 56 is divided by 4*(38/24)/((-3)/(-9)).
18
Let k(d) = 4*d**2 + 5*d + 8. What is the remainder when k(-3) is divided by 5?
4
Let i(a) = -8*a + 3. What is the remainder when 63 is divided by i(-1)?
8
Suppose -2*l + s + 2*s + 1 = 0, 5*l = 4*s + 6. Suppose -b + z = 3*b - 155, -l*b + z = -79. What is the remainder when b is divided by ((-26)/(-6))/(5/15)?
12
Let f(t) = 4*t**2 - 2. Let q be f(-2). Suppose -2*d + 4*s = -q, 5*d - d + 2*s = 78. Calculate the remainder when 30 is divided by d.
13
Let a(y) = 10*y**2 + 4*y - 3. What is the remainder when 31 is divided by a(1)?
9
Let o = -3 - -5. Suppose o*g - 16 = -2*g. Let f = 132 + -121. What is the remainder when f is divided by g?
3
Let g be (0 - 16)/(2/(-5)). Suppose -2*a + g = -5*r, r + 54 = 2*a + 3*r. Suppose -a = -5*k + 5. Calculate the remainder when 11 is divided by k.
5
Let s(j) = 15*j + 20. What is the remainder when s(19) is divided by 44?
41
Suppose -2*d + 100 = 2*d. Let b be d/15 + 2/6. Suppose 6*m - 66 = -f + m, -2*m + 92 = b*f. Calculate the remainder when f is divided by 11.
8
Let w(m) = 0*m + m + 3 + 1. Let x be w(0). Suppose 40 = x*n + 4*d, 0*n + 2*n = -d + 20. What is the remainder when 39 is divided by n?
9
Let h(g) = -8*g + 1. Let f = -7 - -9. Suppose 0 = v - 4*b - 25, 2*b + 26 = f*v - 0*v. Calculate the remainder when h(-4) is divided by v.
6
Suppose 380 = -3*f + 7*f. Suppose 5*n = t + 43, -2*n + 12 + 82 = -2*t. Let x = f + t. What is the remainder when x is divided by 16?
15
Let b(w) = -w + 6. Let z(x) = -x + 6. Let k(o) = -2*b(o) + 3*z(o). Let y be k(-7). Let n = y + -7. Calculate the remainder when 22 is divided by n.
4
Let n = -4 + 4. Suppose n = -2*t + 13 - 3. Suppose -a + 0*d + 77 = d, t*d + 168 = 2*a. Calculate the remainder when a is divided by 27.
25
Let a(c) = -3*c - 4. Let r be a(-3). Suppose -3*o = -r*o + 70. What is the remainder when o is divided by 18?
17
Suppose a - 5*a = -32. Suppose -2*g - a = -4*g. What is the remainder when 2*(-1)/(g/(-6)) is divided by 1?
0
Let j = 25 - 41. Let x be 4/j + 59/(-4). Let d = 34 + x. Calculate the remainder when 55 is divided by d.
17
Let n(r) = -r**2 - 4*r - 13. Let z(j) = j - 1. Let h(u) = n(u) - 5*z(u). Let f be h(-8). What is the remainder when -1 - (f + 1*-4) is divided by 2?
1
Suppose -1 = -2*w + 5. Let k(a) = a**2 - 2*a + 2. Suppose -p + 6*p + 4*g - 50 = 0, g - 23 = -2*p. Calculate the remainder when p is divided by k(w).
4
Let b(v) be the first derivative of v**4/12 - v**3/6 - 2*v + 2. Let h(p) be the first derivative of b(p). What is the remainder when h(-4) is divided by 11?
9
Let u = -29 + 51. What is the remainder when 85 is divided by u?
19
Suppose -127*v + 4 = -126*v. What is the remainder when 35 is divided by v?
3
Let j(d) = -5*d**3 - 3*d**2 + d + 2. What is the remainder when 110 is divided by j(-2)?
26
Suppose 4*k + m = 5*m + 64, 0 = -k + 4*m + 22. Calculate the remainder when 34 is divided by k.
6
Suppose -38 - 19 = -3*s. Let b(m) = -m**3 + 3*m**2 + 3*m. Let k be b(3). Let z = k - 2. What is the remainder when s is divided by z?
5
Let m = 48 + 33. What is the remainder when m is divided by 30?
21
Let t(i) = -47*i + 1. What is the remainder when 141 is divided by t(-1)?
45
Let j(k) = -5*k + 2. Let u be j(2). Let r = u + 13. What is the remainder when 22 is divided by r?
2
Suppose s - 35 = -2*u, 0*s + 28 = u + 4*s. Calculate the remainder when 47 is divided by u.
15
Let n = -79 + 169. Suppose 4*i - 10 - n = 0. What is the remainder when i is divided by 9?
7
Calculate the remainder when 40 is divided by (-36 + 16)*(-2 - 5/(-4)).
10
Suppose -56*n = -58*n + 84. What is the remainder when n is divided by 12?
6
Suppose 0 = 5*f + 18 - 68. What is the remainder when f is divided by 6?
4
Suppose 4*a + 45 = a. Let k = -2 - a. Let s(h) = -h**3 - 19*h**2 + 19*h - 13. Calculate the remainder when k is divided by s(-20).
6
Suppose u - 42 = -14. Let n = u - 18. Let h = n + -6. Calculate the remainder when h is divided by 2.
0
Suppose 4*b = 12, -b + 12 = r + b. Suppose 0 = -x + r*x + 10. Calculate the remainder when 39 is divided by (-42)/12*x*2.
11
Let y(a) = 2*a - 5. Calculate the remainder when 165 is divided by y(13).
18
Let w(t) = 65*t. Suppose -v = -5*v + 88. What is the remainder when w(1) is divided by v?
21
Let r(p) = -p**2 + 7*p - 1. Let t(j) = -3*j - 2 + 2 - 4. What is the remainder when r(5) is divided by t(-3)?
4
Suppose 4*u = 2*c + 2, -3*u + 6*u - c = 4. Let o = 26 - u. What is the remainder when 45 is divided by o?
22
Let x(j) = 4*j**3 - 4*j**2 + 4*j - 4. Let h be x(4). Suppose -2*k + h = 2*k. Suppose -a = -2*a + k. What is the remainder when a is divided by 13?
12
Let s(t) = -2*t - 1. Suppose -5*p = -4*u + 28, 1 = -2*p + u - 9. Let f be s(p). Suppose f + 24 = h. Calculate the remainder when h is divided by 11.
9
Suppose -4*m = y - 0*y + 4, 0 = -3*y - 12. Suppose 3*r = -m*r - 12. Let k(a) = a**2 + a + 2. What is the remainder when 27 is divided by k(r)?
13
Suppose 4*k - 52 = -0*k. Let l(d) = d**3 + 9*d**2 + 11*d + 15. What is the remainder when l(-7) is divided by k?
10
Suppose 2*m + m = 0. Suppose m = -w - w. Suppose -7*b + 3*x = -2*b - 119, -4*b - x + 85 = w. Calculate the remainder when b is divided by 12.
10
Let y = 431 - 308. Suppose -5*t + 313 = y. Let h(f) = -3*f + 1. Calculate the remainder when t is divided by h(-4).
12
Let a = 3 + -4. Let c(k) = 36*k**2 - 2*k - 1. Calculate the remainder when c(a) is divided by 10.
7
Suppose -5*j = 3*w - 0*j - 23, 4*j = w + 15. Suppose 0 = 3*p + w - 13. What is the remainder when 15 is divided by p?
3
Suppose -54*d + 120 = -49*d. What is the remainder when 69 is divided by d?
21
Let c = -65 - -44. Let k = 10 - c. What is the remainder when k is divided by 17?
14
Let s(t) = -t + 17. Calculate the remainder when 31 is divided by s(0).
14
Suppose -2*c + 5 = 3