- 3*l = -158, 5*l - 6 = k - t. Let b = 61 - k. What is the remainder when b is divided by 8?
4
Let r = -135 - -179. Calculate the remainder when r is divided by 28.
16
What is the remainder when (-50 - -10)/((-6)/21) + -2 is divided by 43?
9
Let g = -387 + 658. Calculate the remainder when g is divided by 55.
51
Let h(k) = k**3 - 6*k**2 + k + 6. Let q(t) = -t**2 + 3*t. Let v be q(4). Calculate the remainder when (-6 - (v + 1)) + (46 - -2) is divided by h(6).
9
Suppose 4 = z - 3*t, -5*z - 7*t = -3*t - 115. What is the remainder when z is divided by 7 - (1/(-5))/(2/(-20))?
4
Let q = 105 + -54. Let r = 77 - q. Calculate the remainder when 74 is divided by r.
22
What is the remainder when (15/20)/(12/992) is divided by 20?
2
Let b be (-4)/(-16)*4 + 0 - 5. Calculate the remainder when b/(-4) + -1 + 13 is divided by 2.
1
Let k be (1 - -7) + (2 - 1). Suppose 14*b - 10 = k*b. Calculate the remainder when 7 is divided by b.
1
Suppose 3*l - 49 = -5*j, -26*j + l + 21 = -23*j. What is the remainder when 165 is divided by j?
5
What is the remainder when 105 is divided by (-1198)/(-26) + 6/(-78)?
13
Let i(v) = v**3 + 8*v**2 + 11*v + 26. Calculate the remainder when 95 is divided by i(-6).
31
Suppose 0 = -s + 3*d + 39, -4*s + 31 = 3*d - 140. Let b = s + -15. Calculate the remainder when b is divided by 7.
6
Suppose 4*a + a - 2*n - 190 = 0, -2*a - 2*n + 62 = 0. Let t(w) = w + 7. Calculate the remainder when a is divided by t(-4).
0
Let u be -7 + 15 + 32/(-8). Let k = -2 - -8. Suppose -2*x - 3*n = -23, -3*x - 2*n + k = -u*x. Calculate the remainder when 7 is divided by x.
3
Let z = 3 + 22. Suppose -6*f + 5 + z = 0. Calculate the remainder when 19 is divided by f.
4
Suppose 0 = -3*y - y + 44. Suppose -145 = -3*l + 35. Calculate the remainder when 414*6/l - (-3)/5 is divided by y.
9
Let v be (2 - 4)*22/(-4). Let q be (5 - 7)/1*2. Let r = q + v. What is the remainder when r is divided by 5?
2
Suppose -12 = -5*n - 2, -t + 45 = 4*n. Suppose 2*v - t + 11 = 0. Calculate the remainder when 37 is divided by v.
11
Suppose -3*h - 264 = 3*h. Calculate the remainder when 2 + (-3)/(6/h) is divided by 9.
6
Let p(i) = -2*i**2 - 77*i + 2. Calculate the remainder when 563 is divided by p(-37).
111
Let d = -137 + 80. Suppose 11*z = 179 + 415. What is the remainder when z is divided by (2/3)/((-2)/d)?
16
Suppose 7*y + 4*d - 310 = 4*y, y + 5*d - 107 = 0. Suppose -3*k + 3*b + 39 = 0, 0*b + 26 = 2*k + 3*b. What is the remainder when y is divided by k?
11
Suppose -3*k - 1 = -4, -55 = -5*u + 5*k. Suppose 5*y + u = 6*y. Calculate the remainder when 57 is divided by y.
9
Let v(f) = f + 7. Let r(a) = a**3 - 9*a**2 + 2*a - 6. Let j be r(9). What is the remainder when v(j) is divided by 10?
9
Let t(u) = u**3 + 15*u**2 - 20*u - 61. Let o = -9 - -5. Calculate the remainder when o*(-3)/6 + 7 is divided by t(-16).
0
Let i(x) be the second derivative of 2*x**3/3 + 15*x**2 - 2*x + 28. What is the remainder when i(19) is divided by 28?
22
Let y = 18 - 20. What is the remainder when (48 - y)*(-9)/(-6) is divided by 11?
9
Let f(n) = -n**3 + 24*n**2 - n + 24. Let c be f(24). Suppose c = 22*p - 21*p - 52. Calculate the remainder when p is divided by 15.
7
Let z(k) = -5*k - 18. Let v be z(-4). Suppose -5*w + 4*i = -0*i - 745, -v*w = -3*i - 291. Calculate the remainder when w is divided by 26.
23
Calculate the remainder when 154 is divided by (78*10/(-15))/(-2 + 1).
50
Let d = -11 + 11. Let t be 5 - (3 + (-1 - d)). Suppose 0 = -3*w - c + 22, 3*w = -2*c + t*c + 20. What is the remainder when 19 is divided by w?
5
Suppose -7*t + 4 + 10 = 0. Suppose -41 = -u + t*c, -3*u + 6*c = 2*c - 115. Calculate the remainder when u is divided by 9.
6
Let y(g) = g**3 + 5*g**2 - 4*g - 1. Let w be y(-5). Let j = 6 + -3. Suppose j*m = 62 + w. What is the remainder when m is divided by 15?
12
Let j(o) = 3*o - 15. Suppose -245 = -9*f - 74. Calculate the remainder when j(f) is divided by 15.
12
Let q(p) = 42*p + 422. Calculate the remainder when q(-7) is divided by 58.
12
Let m(d) = 3*d**2 + 45*d + 34. Calculate the remainder when m(-17) is divided by 121.
15
Suppose -h + 67 = -0. Suppose -108*x + 112*x - 96 = 0. Calculate the remainder when h is divided by x.
19
Suppose -2*b - 30 = -u, -5*u + 2*u + 54 = 3*b. What is the remainder when 172 is divided by u?
18
Suppose -m + 24 = 5*f, -2*f + m + 11 = -0*m. Suppose f*y - 3*o = 723, -o - 608 = -4*y - 24. What is the remainder when y is divided by 25?
22
Suppose -u + 2*u = 4*w + 8, 4 = -u. Let g be 3 + 0 + (w - -40). Suppose s = -k + g, 3*k - 38 = 2*s + 72. Calculate the remainder when k is divided by 13.
12
Let b(z) = 6*z - 4. Let i = 4 + 0. Suppose -2*v - 3*v + 180 = -i*x, 0 = 4*v + 4*x - 180. What is the remainder when v is divided by b(3)?
12
Let r(s) = -s**3 + 14*s**2 + s + 54. Suppose -k - 2 = 0, 43 = p - k + 6. Calculate the remainder when r(14) is divided by p.
33
Suppose 4*q - 6*o = -2*o + 1280, -2*o = 0. Calculate the remainder when q is divided by 159.
2
Let m = -42 - 10. Let y = -17 - m. Calculate the remainder when y is divided by 18.
17
Let m = 6 - 3. Suppose -3*l = -m*g + 12, -g - 2*g - l + 12 = 0. Suppose -2*u + 3 = -23. What is the remainder when u is divided by g?
1
Suppose 5*m = -0*m. Suppose -5*d + 4*f + 20 = m, 2*f - 11 = -3*d + 1. Let n = -3 + 5. Calculate the remainder when d is divided by n.
0
Suppose 4*t - 5*h + 8 = 0, -3*h - h + 7 = -3*t. Suppose -4*s + 73 = -t*f, f = 2*s - 0*f - 35. What is the remainder when 273/6 + 3/6 is divided by s?
14
Suppose -2*u = 5*k - 26, -4*k - 4*u + 1 = -9*u. Suppose -5*y = 0, -3*y - 61 = -k*j + 23. Suppose -6 = -5*i + 49. Calculate the remainder when j is divided by i.
10
Suppose 2*c = -i + 2, -2*c + 2*i + 14 = -0*c. Suppose -c*m = -23 + 2. Let q = 12 - m. Calculate the remainder when 9 is divided by q.
4
Let v(f) = 21*f**2 - 5*f - 3. Let s be v(-2). Let n = s - 52. Calculate the remainder when 112 is divided by n.
34
What is the remainder when (81/(-18))/((-3)/96) is divided by 28?
4
Suppose -28 = -0*f - 4*f. Let v(m) = m**2 - 7*m - 6. Let h be v(f). Let o(r) = r**2 - 5*r - 15. What is the remainder when o(h) is divided by 27?
24
Let v(y) = -11*y - 106. Calculate the remainder when v(-38) is divided by 83.
63
What is the remainder when ((-4)/(-6))/(246/222507) is divided by 32?
27
Suppose -28 - 87 = -5*q. Let k be ((-65)/20)/((-2)/8). Let z = k + -1. What is the remainder when q is divided by z?
11
Suppose -4*d + 5*u - 5 = 0, -d - u + 2 = 1. Suppose -4*x + 3*x - c + 14 = d, -3*x - 5*c = -42. What is the remainder when 97 is divided by x?
13
Suppose -3*a = 4*k + 6, 2*a + 1 = 4*k - 3. Let n = 6 + a. Calculate the remainder when (-3 - -2)*3 - -13 is divided by n.
2
Let b(m) = 2*m**3 + 5*m**2 - 9*m + 4. What is the remainder when 55 is divided by b(2)?
11
Suppose -6*o = 79*o - 10965. Suppose -g + 4*d - 107 = -4*g, -d - 130 = -4*g. Calculate the remainder when o is divided by g.
30
Let o(p) = p**2 - 19*p + 22. Let q be o(18). Suppose -109 = q*g - 273. What is the remainder when g is divided by 14?
13
Let s = 1738 - 1636. Let i = 27 + -14. What is the remainder when s is divided by i?
11
Suppose 2*o = 51 + 29. Calculate the remainder when 199 is divided by o.
39
Suppose 3*g = -6, 3*v - g - 7 = 2*v. Let p be (9/v)/((-27)/(-90)). Suppose p*j - j = 65. What is the remainder when 25 is divided by j?
12
Let r be 14/6 + 24/36. Calculate the remainder when (2/(-4))/(-1*r/618) is divided by 27.
22
Let d be (-2760)/21 - 27/(-63). Let g = d + 134. Calculate the remainder when 4 is divided by g.
1
Suppose 0 = 3*i - 7*i + 108. Let f(j) = j**2 + 6*j + 5. Let b be f(-8). Suppose 15*k - 18*k = -b. Calculate the remainder when i is divided by k.
6
Suppose 0 = o - 2 - 0, 5*f + 5*o - 15 = 0. Let d = 10 - 6. What is the remainder when 8 is divided by d - 1/(f/1)?
2
Let k(w) = w**3 + 3*w**2 - w + 8. Suppose -g = g + 8. Let s be k(g). Let o = s + 6. What is the remainder when 6 is divided by o?
0
Suppose -2 = -b + 2. Let r be (13/(-7) - -1)*(8 + -1). Let f(m) = -m**2 - 13*m - 31. What is the remainder when f(r) is divided by b?
3
Let c = 114 + -46. Calculate the remainder when 265 is divided by c.
61
Let b(y) = -2*y**3 + y**2 + 38*y + 6. What is the remainder when b(-5) is divided by 23?
22
Let z(h) = 2*h - 12. Let r be z(6). Suppose 3*i - 4*l =