ppose -a = -0*s - s. Calculate the remainder when 13 is divided by s.
6
Let f be 744/(-60)*(1 - 16). Let g = -133 + f. Suppose o = 5*o - 56. Calculate the remainder when g is divided by o.
11
Let b(r) = r**3 + 7*r**2 + 3*r + 3. Calculate the remainder when b(-6) is divided by 8.
5
Suppose -2*y = 3*r - 4*y - 58, 16 = 4*y. What is the remainder when 219 is divided by r?
21
Let t = 8 + -8. Suppose 25 = 5*j - t*j. Calculate the remainder when 9 is divided by j.
4
Suppose 2*g = -2*a + 7*a + 28, -3*a - 12 = 0. Suppose -3*s + 28 = 2*q, -s + g*q - q + 2 = 0. Calculate the remainder when 53 is divided by s.
5
Calculate the remainder when 3/(-2)*2780/(-30) is divided by 7.
6
Let c(f) = -f + 0*f + 6 - f. Let q be c(3). Suppose -3*t + q*t + 4*z + 6 = 0, 2*t - 6 = 2*z. What is the remainder when t is divided by 2?
0
Suppose 5*f - 53 = -5*i + 22, i - 2*f = 0. Calculate the remainder when 77 is divided by i.
7
Suppose -2*p + 59 = -3*p. Let d = 97 + p. Let i(u) = 6*u + 67. Calculate the remainder when d is divided by i(-9).
12
Let w = -207 - -300. What is the remainder when 461 is divided by w?
89
Suppose -16*z + 21*z - 3*i = 1624, -4*i = -3*z + 981. What is the remainder when z is divided by 65?
63
Let d(j) = 16*j**2 + 2*j - 1. Suppose 0 = 3*t - 1 - 2. Suppose -r = 2*a - 55, -317*r - 155 = -319*r + 5*a. Calculate the remainder when r is divided by d(t).
14
Suppose 0 = o + q + 84 - 29, q = 2. Let a = -41 - o. What is the remainder when a is divided by 3?
1
Suppose -5*v + 1 = -n - 4*v, -3*v + 17 = 4*n. Suppose -30 = -3*h - 3*s, 2*s - 30 = -h - n*h. Calculate the remainder when h is divided by 4.
2
Let m(z) = 3*z**2 + z + 1. Let f be m(-1). Suppose -j = 3*r - 30, -j = 4*j - f*r - 114. What is the remainder when j is divided by (-9)/((-4 - -7) + -4)?
6
Let j = -19 + 41. Suppose 0 = -2*t + b + 2 + 39, 0 = -t + 5*b + 34. What is the remainder when t is divided by (-5)/10 - j/(-4)?
4
Suppose 4*z + 708 = -0*z. Suppose -5*y + 3*x - 246 = 0, -3*y + 16*x - 140 = 18*x. Let w = y - z. What is the remainder when w is divided by 33?
30
Suppose -63*g = 7068 - 18093. Calculate the remainder when g is divided by 63.
49
Let f(q) = -q**3 + 10*q**2 - 7*q - 18. Let h be f(9). Suppose 5*d = -0*z - 2*z + 180, -4*d + 4*z + 144 = h. Calculate the remainder when 107 is divided by d.
35
Let p = 65 - 0. Let o = p + -40. What is the remainder when o is divided by 0 - (-10 + (-12)/(-4))?
4
Suppose -14 = -2*n - 2. Suppose -26 = -2*q - q + 7. Calculate the remainder when q is divided by n.
5
Suppose -3*i + 11 = -2*i - 5*a, -21 = -4*i - 3*a. Let w(n) = 3*n + i*n - 3 + n**2 - n. What is the remainder when w(-9) is divided by 4?
2
Suppose -c + 3*c = 10. Suppose 0*k - 3*k + j = -33, 9 = 2*k - c*j. Suppose -7*u + 44 = -5*u. What is the remainder when u is divided by k?
10
Suppose -37*p + 1047 = 48. Calculate the remainder when 78 is divided by p.
24
Let q = -50 + 12. Let l = -29 - q. What is the remainder when 15 is divided by l?
6
Let u(i) = -3*i + 45. Suppose 0 = -5*n - 2*m + 137, -2*n + 6*m + 51 = 3*m. Calculate the remainder when n is divided by u(10).
12
Let z(t) = -t**3 + 18*t**2 - 32*t + 24. Calculate the remainder when 46 is divided by z(16).
22
Suppose -5*r = -133 + 33. Suppose 20*j = 15*j + r. Let i = -1 + 4. Calculate the remainder when j is divided by i.
1
Let k = 154 + -137. Suppose -5*w + h = -20, k = 4*w - h + 1. What is the remainder when 35 is divided by w?
3
Suppose -4*w = -394 + 210. What is the remainder when 201 is divided by w?
17
Let h(i) = 8*i - 25. Let m be h(14). Suppose -7*p + 256 = -m. Let l = 23 + -10. What is the remainder when p is divided by l?
10
Suppose 4*x + 0 = -q - 18, 4*q + 3*x + 7 = 0. Suppose -2 + 22 = 5*o. What is the remainder when ((-6)/q)/(3/(-15)) is divided by o?
3
Suppose 3*j - l + 7 = 0, 2*l = 5*j + 4*l + 8. Calculate the remainder when -1 - j - (-150 - -4) is divided by 37.
36
Let t be (-3 - 14/(-4))*0. Suppose t = -9*p + 14*p - 400. What is the remainder when p is divided by 27?
26
Let f(x) = -7*x + 9. Let g be f(-4). Suppose 3*c = -u + g, -4*u - c = -0*u - 115. Calculate the remainder when u is divided by 6.
4
Let c be (-384)/(-208) - (-4)/26. Suppose 4*x = -5*z + 43, -6 - 12 = -2*z - c*x. Calculate the remainder when 13 is divided by z.
6
Let v(p) = 60*p + 6. Let y(k) = -1. Let x(s) = -v(s) - 9*y(s). What is the remainder when x(-3) is divided by 46?
45
What is the remainder when 62 is divided by 6/45 - 66*(-4)/45?
2
Let z(i) = -3 - 9*i - i**3 - 17*i**2 + 5*i**2 + 8*i**2 + 1. What is the remainder when z(-2) is divided by 6?
2
Let r = 31 + -10. Let g = -15 + r. What is the remainder when 10 is divided by g?
4
Let g = 71 + -29. Let i = g - 37. Calculate the remainder when 12 is divided by i.
2
Let u(a) = a**2 - 13*a + 50. Calculate the remainder when u(8) is divided by 2.
0
Let j = 72 + -19. Let h = j + -17. What is the remainder when h is divided by 10?
6
Let a = 97 - 44. Suppose -5*n - 5 = 0, -3*x + n = 6*n + a. Let d = 28 + x. Calculate the remainder when 47 is divided by d.
11
Let z be (5 - -20)/(-5) + 65. Suppose 6*u - z = 2*u. Calculate the remainder when u is divided by 8.
7
Suppose 15 = 5*z, -3*r + 5*z - 20 + 65 = 0. What is the remainder when 99 is divided by r?
19
Suppose -2*g - 6*j = -j - 98, 2*j + 109 = 3*g. Let y = -269 + 279. What is the remainder when g is divided by y?
9
Suppose 2*x - b - 294 = 0, -5*x + 233 = 2*b - 502. Suppose 4*f + 39 = x. Calculate the remainder when 106 is divided by f.
25
Suppose 7 = 2*j + 1. Suppose -3*d - u + 110 = -2*u, d - j*u - 42 = 0. Calculate the remainder when d is divided by 20.
16
Suppose 8*n + 8 = 10*n. Suppose -n = -z + 9. Calculate the remainder when 76 is divided by z.
11
Suppose 208 = 9*k - 35. What is the remainder when k is divided by 24?
3
Let w = -70 + 131. Let q = 12 + 19. Calculate the remainder when w is divided by q.
30
Let o(l) = 59*l + 376. Let u(y) = -y**3 - 7*y**2 + 6*y - 3. What is the remainder when o(-6) is divided by u(-8)?
9
Suppose 3*v + 139 = 5*q, 4*v + v + q = -213. Let k = v + 89. Calculate the remainder when k is divided by 8.
6
Let f(t) = t + 8*t**2 + 11 + 4*t + t**3 - 20. Let l be f(-7). Suppose -o = 3*y - 33, 0 = l*o - y - 2*y - 237. What is the remainder when o is divided by 12?
9
Suppose 3*u - u = 20. Let i(j) be the third derivative of j**6/120 + j**5/12 + 8*j**3/3 - 4*j**2. What is the remainder when i(-5) is divided by u?
6
Let n = -2737 + 2752. Let b = 12 - 4. What is the remainder when n is divided by b?
7
Let w(k) = -k**3 + 24. Let j be w(0). Let v = 48 + -31. Let x = j - v. What is the remainder when 18 is divided by x?
4
Let y(s) = -s**3 + 21*s**2 + 5*s - 5. Calculate the remainder when y(4) is divided by 10.
7
Suppose 0 = -28*n + 26*n + 4. What is the remainder when 25 is divided by n*-2 + (-85)/(-5)?
12
Suppose -2 = -3*i + 10. Suppose -5*x = -4*y + 87, -3*x = -5*y - i*x + 116. Calculate the remainder when y is divided by 13.
10
Let l(a) = 6*a + 2. Let d be l(1). Suppose -d*o - 6 = -y - 3*o, 5*y - o - 78 = 0. Calculate the remainder when 29 is divided by y.
13
Let l(s) = -16*s - 2 + 11*s + 8*s + 9*s**2. Let z = -9 - -6. Calculate the remainder when l(z) is divided by 18.
16
Calculate the remainder when -2*12/(192/(-7784)) is divided by 15.
13
Let d(c) = c**2 + 4*c - 4. Let p be d(-4). Suppose -5*m - 26 = 2*t - 0*m, -2*t - 2*m - 14 = 0. What is the remainder when (p/8)/(t/156) is divided by 9?
8
Let f = 192 - 190. What is the remainder when 3 is divided by f?
1
Suppose -53*t + 94*t = 4920. What is the remainder when 716 is divided by t?
116
Let x be 15*1/12*4. Let f = 10 - x. Suppose -r - 2*t = -f*t - 40, -3*t + 60 = 3*r. What is the remainder when 47 is divided by r?
22
Suppose -5*m + 25 = -0*m, -5*y = m - 25. Let r(i) = i + 7. Let q be r(-6). Let u(b) = 6*b**2. What is the remainder when u(q) is divided by y?
2
Let k = 23 - 20. Let r(x) = -x**2 + 8*x - 4. Calculate the remainder when k is divided by r(7).
0
Let n(a) = 4*a**2 - 2*a + 2. Suppose 175 + 62 = 3*m. Suppose 3*h + 4 = m. What is the remainder when n(-4) is divided by h?
24
Let c = -262 - -364. What is the remainder when c is divided by 52?
50
Let n(f) = 102*f**2 - 3*f - 1. Calculate the remainder when n(-1) is divided by 35.
34
Let s be ((-2)/9 - 14/(-63)) + 3. Suppose -115 = -5*g + 3*m, 0 =