
Calculate the remainder when 2973 is divided by 56/(-210) - (-1399)/15.
90
Let l(w) = -3*w + 9. Let f be l(-6). Let h(r) = 3*r - 4. Calculate the remainder when h(5) is divided by f/6 + 2/4.
1
Suppose 0 = 85*v - 81*v - 24. What is the remainder when 105 is divided by v?
3
Let a be (-1 + -1)*20/(-8). Suppose n - a*n + 176 = 0. What is the remainder when n is divided by 15?
14
Suppose -5*t = -5*q + 6 - 1, -3*t = 5*q + 19. Let p = t + 8. Suppose 2*x = p*l + 49, 5*x + 2*l = l + 55. What is the remainder when 22 is divided by x?
10
Let f(c) = 2*c**2 - 6*c - 40. Let b be f(-7). Suppose -5*q + 70 = -b. Calculate the remainder when q is divided by 12.
10
Suppose -2 = 2*s, 2*r + 3*r - 234 = -s. Calculate the remainder when 234 is divided by r.
46
Suppose -4*s + 921 = 3*m, 4*s = -12*m + 16*m + 928. What is the remainder when s is divided by 18?
15
Let i(s) = 3*s**3 - 4*s**2 - 3. Let z be i(3). Suppose 33 = 3*n + 2*g, 3*n = 4*g - 3*g + z. What is the remainder when n is divided by 26/6 + 2/(-6)?
1
Let s = -26 - -69. Let z(g) = -3*g - 49. Let n be z(-17). Suppose 5*u - 105 = -n*u. What is the remainder when s is divided by u?
13
Let s(d) = -5*d + 21. Let l be s(-11). What is the remainder when 29 is divided by ((-3)/(-9) - 1) + l/6?
5
Let p = -49 - -73. Suppose -9*y = -12*y + p. Calculate the remainder when -2*((-124)/y + -1) is divided by 9.
6
Suppose 2*o = 5*o - 15. Suppose a = o*a - 64. Calculate the remainder when 79 is divided by a.
15
Let j = 69 + -41. Let o(l) = -l**3 + 7*l**2 + l + 3. Let z be (-2)/9 + 195/27. What is the remainder when j is divided by o(z)?
8
Suppose -j + 27 = 2*j. Let u be 8 - (3 + 1) - 1. Suppose -4*c + 6*c + 20 = 4*r, 4*r - u*c = 24. Calculate the remainder when j is divided by r.
0
Let p be -1 + 0/(-3) + 4. Let y(b) = -b**p - 2*b + 10 + 3*b + 0 - b**2. What is the remainder when 19 is divided by y(0)?
9
Let h = 178 - 95. Calculate the remainder when 413 is divided by h.
81
Suppose 0 = -28*a - 25 + 193. Suppose 0*h = h. Suppose -3*i - i + b + 13 = 0, -3*i + 5*b + 14 = h. What is the remainder when a is divided by i?
0
Suppose -v + 4*v = 81. Suppose 0 = -5*f + 227 + 718. What is the remainder when v is divided by (-6)/8 - f/(-28)?
3
Suppose -2*j = 18*l - 16*l - 708, -4*j = l - 1416. What is the remainder when j is divided by 90?
84
Suppose 0 = -3*y + 5*b + 22, -12*b - 12 = -5*y - 16*b. Calculate the remainder when 137 is divided by y.
1
Suppose -o - 1 = 11. Let x be o/36 - 2/(-6). Suppose x = -h - 4*h + 45. What is the remainder when 24 is divided by h?
6
Let l(w) = 2*w - 2. Let s be l(3). Let k = 2 + s. Let v = 1391 + -1376. What is the remainder when v is divided by k?
3
Let d(p) = -9*p - 72. Let g(r) = -r**3 + 11*r**2 - 11*r + 14. What is the remainder when d(-10) is divided by g(10)?
2
Suppose 197*i - 182*i = 3390. What is the remainder when i is divided by 54?
10
Let m be ((-16)/10)/(1/(-5)). Let j = 336 - 317. Suppose -j = -w + m. Calculate the remainder when w is divided by 10.
7
Suppose 145*b - 798 = 138*b. Suppose 3*v - 99 = -0*m - 4*m, 3*v - 4*m = 75. What is the remainder when b is divided by v?
27
Let h = 73 - -27. Suppose 6*q - h = q. What is the remainder when q is divided by 6?
2
Suppose -i = -4*v - 48, 13*i + v = 17*i - 147. Calculate the remainder when 103 is divided by i.
31
Let o = 24 + -57. Let b be (-8)/44 - 2283/o. Suppose 4*m = 55 + b. What is the remainder when 123 is divided by m?
30
Suppose -u + g + 31 = 0, -5*g + 18 = u - 1. Suppose 525 - 9195 = -102*q. Calculate the remainder when q is divided by u.
27
Suppose -102*s + 72234 = -30276. What is the remainder when s is divided by 46?
39
Suppose -4*z + 6*z = -3*c - 31, 5*z - 5*c = -65. Let t = -8 - -4. What is the remainder when 17 is divided by (-1)/((t/z)/(-2))?
3
Let l(a) = -a**2 + 33*a + 131. Let u be l(37). Let z be (-1 - -50)/(2/(-4)). Let g = u - z. Calculate the remainder when g is divided by 21.
18
Suppose -3*h + 26 + 4 = 0. Calculate the remainder when 47 is divided by (-51*2/9)/(h/(-15)).
13
Suppose 0 = 5*v - 237 + 7. Let k = v - 7. Let d = k + -18. Calculate the remainder when 60 is divided by d.
18
Let b(y) = y**2 + y + 53. Calculate the remainder when b(-9) is divided by 65.
60
Suppose -4*z + 2*i - 210 - 200 = 0, 3*z + 300 = 3*i. Let b = 356 + -181. Let s = b + z. What is the remainder when s is divided by 24?
22
Let z = 66 - 29. Let h = z - 39. What is the remainder when h/(-11) + (-1116)/(-33) is divided by 10?
4
Suppose -64*g + 2020 = -59*g. Calculate the remainder when g is divided by 45.
44
Let k be (-6)/4*(1 - -31). Let h = -27 - k. Let y = 54 - 43. Calculate the remainder when h is divided by y.
10
Suppose 39 = -25*p + 26*p. Calculate the remainder when 77 is divided by p.
38
Suppose -4*b + 86 = 2*u, 0 = -u - 0*b + 3*b + 68. Calculate the remainder when 206/1*(-11 + 23)/24 is divided by u.
50
Let d(n) = n. Let g(u) = -7*u - 7. Suppose -m - 3*m = 12. Let i(w) = m*d(w) + g(w). Calculate the remainder when i(-3) is divided by 13.
10
Suppose 3*a - 39 = -5*y, a - 81 = -4*a - 3*y. What is the remainder when 70 is divided by a?
16
Suppose 3*w = c + 2*c - 336, 0 = -3*c - 2*w + 351. What is the remainder when c is divided by 13?
11
Let f(d) = d**2 + 11*d. Let o be (-7)/(5*1/10). Calculate the remainder when f(o) is divided by 11.
9
Suppose -84 = -y - 5*v, -2*y + v + 316 = 3*y. What is the remainder when 381 is divided by y?
61
Suppose -4*s + 5*s = -4. Let i = s + 6. Suppose 5*p = -4*x + 190, -i*x + 176 = 2*x - 2*p. What is the remainder when x is divided by 16?
13
Suppose o - 297 = -223. Calculate the remainder when o is divided by 30.
14
Let o = 85 + -59. Suppose -31 = 4*p + i - 11, 2*i = 5*p + 38. Calculate the remainder when 20/p*(-225)/10 is divided by o.
23
Let f be 4/6 + 86/6. Let p = f + -10. Suppose 0 = p*i - 6*i + 27. What is the remainder when 53 is divided by i?
26
Suppose 0 = -0*x + x - 135. What is the remainder when x is divided by 41?
12
Let y = 0 - -5. Suppose -154 = -2*s - y*s. Calculate the remainder when 87 is divided by s.
21
Suppose -3*q = 5*f + 42, 4*q - 22 = f + f. What is the remainder when 14 is divided by (0/1 + (-4)/12)*f?
2
Let r(h) = -21*h. Let i be r(-6). Suppose 5*n - 2*n = i. Suppose 0 = 5*w - 89 + 34. What is the remainder when n is divided by w?
9
Suppose -o - 855 = -4*v, -2*v + 7*v = 4*o + 1077. What is the remainder when v is divided by 43?
41
Let a = 266 + -217. Calculate the remainder when 92 is divided by a.
43
Let o = 29 + 33. Suppose h - 4*f + 29 = 0, 0*f = -3*f. Let v = o + h. What is the remainder when 96 is divided by v?
30
Let a = 71 + -71. Suppose -u - 5*c + 2 = a, -12*u + 14*u - 4*c = 60. Calculate the remainder when u is divided by 9.
4
Let j = -1 - -1. Suppose 0 = -j*h + 2*h - 14. Suppose t - 30 = 4*y, 0*y = t - 2*y - 24. Calculate the remainder when t is divided by h.
4
Let z(c) = -2*c**3 - 15*c**2 + 11*c + 2. What is the remainder when z(-9) is divided by 30?
26
Suppose 5*g - j = g + 64, 2*j + 68 = 4*g. Calculate the remainder when 702 is divided by g.
12
Suppose 5*v + 4*l - 34 = 0, 2*v - l + 3*l - 12 = 0. Suppose 5*g + 86 = 3*a, -3*a + 10 = 2*a. What is the remainder when 29 is divided by (v/8)/((-2)/g)?
9
Let u = 4 - -6. Let i(f) = f**2 + 29 - 49 + 29 - f. Calculate the remainder when i(-5) is divided by u.
9
Let o = 95 + -40. Let b = -737 + 765. Calculate the remainder when o is divided by b.
27
Let z = 89 - 53. Let o = -43 - -149. Calculate the remainder when o is divided by z.
34
Suppose -4*y + 14 = 3*z, -4*z + 7*z + 2*y - 16 = 0. Suppose z*x = -39 + 117. Calculate the remainder when 77/2 + (-6)/4 is divided by x.
11
Suppose -n + 21 = 20. Suppose 2*v = -2*v + 244. What is the remainder when v is divided by 2 + (13 - (0 - n))?
13
What is the remainder when (16/(-8) + 135)/(1/2) is divided by 67?
65
Let l = 56 + -59. Suppose -3*h + 81 = -0*h. Calculate the remainder when h is divided by -3 - l - 20/(-2).
7
Suppose 137 = 3*j + 4*v, 5*j + 2*v - 78 = 141. What is the remainder when 78 is divided by j?
35
Suppose 6*s + 104 = 4*s. Let a = 135 + s. Calculate the remainder when a is divided by 21.
20
Suppose g + 2*r - 62 = 0, 3*r = g - 2*r - 27. What is the remainder when g is divided by 8 + 2/((-8)/3)*(-21 + 17)?
8
Let k(i) = i + 48. Let m be k(0). Suppose -2*a - 2*a + m = 0. Suppose 12 + 