n 83 is divided by (-347)/(-23) - (-21)/((-2898)/12)?
8
Suppose -4*f = -f - 222. Let o = f + -40. What is the remainder when 132 is divided by o?
30
Suppose 0 = -w - 2*w + 3. Let c be 6/9*(-24)/(-16). Suppose c = y - 2. Calculate the remainder when y is divided by w.
0
Suppose 18 = 3*o + 3. Suppose o*m - 39 - 106 = 0. What is the remainder when m is divided by 10?
9
Let w(r) = -12*r + 62. Let t be w(0). Let a = 70 - t. What is the remainder when 15*(-1 + (3 - 1)) is divided by a?
7
Let g = 163 + -91. Suppose 3*a + 0*k - 4*k = 123, -3*a + 123 = k. Suppose 20 = z - s, -5*s + 2*s = -2*z + a. What is the remainder when g is divided by z?
15
Let r(y) = 157*y**2 + 15*y + 1. What is the remainder when r(1) is divided by 29?
28
Let b(r) = -5*r + 34. Let l be b(5). Suppose -6*n = -l*n + 51. Calculate the remainder when 51 is divided by n.
0
Suppose -5*d - 9*r + 525 = -4*r, 3*r + 345 = 3*d. Suppose p + 4*p - d = 0. Calculate the remainder when 63 is divided by p.
19
Let d(f) = -12 - 18 + 8*f + 5. What is the remainder when d(10) is divided by 29?
26
Calculate the remainder when 87 is divided by (36 + (-3 - 12))/(0 - -1).
3
Suppose -3*r - z + 183 = 0, -2*r + 0*z + 122 = 3*z. Calculate the remainder when r is divided by 11.
6
Suppose 180 = 410*b - 401*b. Calculate the remainder when 99 is divided by b.
19
Let a = 14 - -1. Let o(s) = s**2 + 8*s - 14. Let p be o(-11). Let t = 63 - p. What is the remainder when t is divided by a?
14
Suppose v + 13*g - 15*g = 37, -2*g - 154 = -4*v. What is the remainder when 70 is divided by v?
31
Suppose -4*m - 5*s = -263, s + 57 = 60. Calculate the remainder when 805 is divided by m.
61
Let m(a) = -a - 4*a + 6 - 10 + 3*a. Let n = 6 + -12. Calculate the remainder when 23 is divided by m(n).
7
Suppose x - 6*x = 2*q - 153, -5*q - 3*x + 335 = 0. Calculate the remainder when q is divided by 14.
8
Calculate the remainder when 8/(-76) + 10890/209 is divided by 38.
14
Suppose k + 4*t - 8 = 0, -6 = 2*k - k - 3*t. What is the remainder when 3 + 34 + k + 1 is divided by 13?
12
What is the remainder when 4255/253 + 2/11 is divided by 4?
1
Suppose b = -5*f + 308, 3*f - b = f + 119. Suppose f*d = 62*d - 20. What is the remainder when 39 is divided by d?
19
Let w = 761 - 748. What is the remainder when w is divided by 7?
6
Let h be -3*((-4)/1 + 3). Suppose 4*a - 55 = -h. What is the remainder when a is divided by 3?
1
Let w(v) = -26*v - 28. Calculate the remainder when w(-7) is divided by 53.
48
Suppose -51 - 741 = -12*n. Calculate the remainder when 321 is divided by n.
57
Suppose -6*o + 23*o - 425 = 0. What is the remainder when 174 is divided by o?
24
Suppose -102*p + 32 = -101*p - 3*b, -b - 94 = -2*p. Suppose -4*n + 80 = 8. Calculate the remainder when p is divided by n.
14
Let w(f) = f - 6. Let x be w(8). Suppose -x*n = 5892 - 2056. What is the remainder when n/(-42) - (-2)/6 is divided by 12?
10
Let m(w) = -w**3 - 16*w**2 + 4*w + 4. Let l be m(-16). Let f = -46 - l. Calculate the remainder when 53 is divided by f.
11
Suppose 0 = 5*l - 335 - 310. Suppose 3*w - 4*k + 14 = l, -w - 5*k + 13 = 0. Calculate the remainder when 64 is divided by w.
31
Suppose -50 = 7*u - 8*u. Let m = 12 - 7. Suppose 2*v - 54 = -k - 3*k, -60 = -5*k + m*v. What is the remainder when u is divided by k?
11
Let z = 23 + 1. Let c(w) = 2*w**2 - 9*w - 10. Calculate the remainder when c(8) is divided by z.
22
Suppose -5*k = -2*h - 40 - 0, 4*h = 5*k - 30. What is the remainder when 81 is divided by (-2)/(k/(-105))*1?
18
Suppose 4*d + 414 = 3*u, -3*d = 1 + 8. What is the remainder when u is divided by 46?
42
Let d(t) = -t + 6. Let q be d(3). Let m(f) = 3*f + 22. Calculate the remainder when 119/q - (-4)/(-6) is divided by m(-4).
9
Let i(u) = -u**2 - 8*u - 7. Let m be i(-7). Let v(s) = 11*s + m + 13*s - 7. Calculate the remainder when v(3) is divided by 17.
14
Let c(t) = 15*t**2 + t - 1. Suppose 2*n + 98 = d - 0*n, d + n = 89. Let y = d - 48. What is the remainder when y is divided by c(1)?
14
Suppose -y + 748 = 652. Suppose 7 = 2*o - 33. What is the remainder when y is divided by o?
16
Let h be ((-2 - 1) + -5)/(-2). Let k(r) = 4*r**2 - 7*r + 8. Calculate the remainder when k(h) is divided by 4.
0
Suppose 136 = -5*h + 9*h. Calculate the remainder when h is divided by (-6)/15*-25 + (-3)/1.
6
Suppose 4*o = -7*g + 897, 16*o + 141 = g + 14*o. Calculate the remainder when g is divided by 15.
11
Suppose -3*t + 6*t - 72 = 0. Suppose 3*r - 5*o = 67, -5 = -5*r + 2*o + 75. What is the remainder when t is divided by r?
10
Suppose -3*x - 39 + 135 = 0. Calculate the remainder when x is divided by (-1 - 41)/(-2) - (-93 - -102).
8
Suppose 0 = a + 4 - 20. Suppose 48*k - 678 + 246 = 0. Calculate the remainder when a is divided by k.
7
Let f(s) = -98 + 15*s + 8*s + 96. Calculate the remainder when f(2) is divided by 23.
21
Let g = 1857 + -1793. Let i = -25 - -42. Calculate the remainder when g is divided by i.
13
Suppose 2*n = -3*n + 65. What is the remainder when (-7)/(-5 + (-18)/(-10) + 3) is divided by n?
9
Suppose 550 = -52*l + 77*l. What is the remainder when 52 is divided by l?
8
Suppose -4*r + 225 = 5. What is the remainder when 161 is divided by r?
51
What is the remainder when 95 is divided by -3 - 9/(-6)*(-3 - -13)?
11
Let a = -774 - -891. What is the remainder when a is divided by 54?
9
Suppose -4*o + o = -99. What is the remainder when (2/(-1))/((-324)/(-328) + -1) is divided by o?
32
Suppose 0 = -7*n + 42 - 7. Suppose -14 - 31 = -n*q. What is the remainder when 42 is divided by q?
6
What is the remainder when 44 is divided by 144/14 + (-8)/28?
4
Suppose 0 = 334*c - 360*c + 1274. What is the remainder when 170 is divided by c?
23
Calculate the remainder when 64 is divided by (-6768)/(-192) + 2 + 15/(-12).
28
Suppose -840 = -4*q - 276. Calculate the remainder when q is divided by 13.
11
Let g = -24 - -24. Suppose 5*n - 5*r - 1 - 59 = 0, -5*r - 20 = g. Calculate the remainder when n is divided by 2.
0
Let b = 42 + -42. Let o(y) = y + 60. Let i(u) = 2*u + 119. Let w(z) = -6*i(z) + 13*o(z). Calculate the remainder when w(b) is divided by 17.
15
Suppose 0 = g - 1 - 1. What is the remainder when 54 is divided by 24/3 + g - -4?
12
Let h(x) = 2*x + x**3 + 6*x**2 + 0 + 3 + 0. Calculate the remainder when 47 is divided by h(-5).
11
Let d(z) = 3*z**3 - 8*z**2 - 10*z + 10. Let g(x) = 2*x**3 - 5*x**2 - 7*x + 7. Let m(u) = -5*d(u) + 7*g(u). Calculate the remainder when 74 is divided by m(4).
17
Suppose 0 = 84*f - 87*f + 18. What is the remainder when 40 is divided by f?
4
What is the remainder when 4 - (4 - (-388)/(-4)) is divided by 12?
1
Suppose 32 - 102 = -5*c. Suppose 3*q - c = 40. Suppose 0 = 2*v - 14 - q. Calculate the remainder when 29 is divided by v.
13
Suppose 4*m + 0*x - 28 = -4*x, -5*m - 4*x = -38. Let l be 130/(-14) + 4/14. Let w = l + 13. Calculate the remainder when m is divided by w.
2
Let y(t) = 7*t**2 - 6*t - 4 + t**3 + t - 4*t**3 + 4*t**3. Calculate the remainder when y(-7) is divided by 16.
15
Let i be (1/((-3)/30))/(10/(-95)). Suppose 8*j - 123 = -3*y + 9*j, 2*y = 5*j + i. What is the remainder when 79 is divided by y?
39
Let r = 26 - 26. Suppose -5*b - 3*k + 226 = r, -170 = -6*b + 2*b + 3*k. Calculate the remainder when b is divided by 16.
12
Suppose 9*v + 420 = 21*v. What is the remainder when 64 is divided by v?
29
Let b = 71 + -50. Let t(w) = -30*w + 1. Calculate the remainder when t(-1) is divided by b.
10
Let k(y) = -12*y + 2. Let h = -3 + 2. Let m(x) = -x. Let q(s) = h*k(s) + 8*m(s). Calculate the remainder when q(8) is divided by 8.
6
Let p = 6 - 18. Let v be ((-4)/p)/((-1)/(-12)). Suppose -v*n + 2*n + 160 = -4*c, 2*n + 3*c = 167. What is the remainder when n is divided by 28?
26
Let s = -203 - -329. Calculate the remainder when s is divided by 43.
40
Let g(p) = p**3 + 11*p**2 - 4*p - 1. Let v be (6/3)/(0 + 2). Calculate the remainder when g(-11) is divided by -2 + v + -2 - -18.
13
Let m(z) be the third derivative of z**6/120 - 11*z**5/60 - z**4/2 + 5*z**3/3 - 5*z**2. What is the remainder when 57 is divided by m(12)?
7
Let m = -54 + 70. Let i = 21 + 6. Let b = i - m. What is the remainder when b is divided by 6?
5
Let s = -81 + 146. Suppose 82 = -7*o + 201. What is the remainder when s is divided by o?
14
Let k = 480 + -397. Calculate the remainder when k