der when b is divided by p?
7
Suppose -54*c = -3172 + 1012. Calculate the remainder when c is divided by 18.
4
Suppose 24*j - 266 = 118. Suppose -2*n - 8 = 0, -a + 5*n + 161 = 2*a. Calculate the remainder when a is divided by j.
15
Let d(i) = -i**3 - i**2 + 2*i - 3. Let y = 26 - 3. What is the remainder when y is divided by d(-3)?
5
Let j = 6 - -15. What is the remainder when 27 is divided by j?
6
Suppose -23*t = -8*t - 600. What is the remainder when 599 is divided by t?
39
Let b(j) = -2*j + 1. Let p be b(0). Let k be p/(-2) + 495/(-30). Let r = 21 + k. Calculate the remainder when 6 is divided by r.
2
Suppose 9*j = 23*j - 28. Calculate the remainder when 244 is divided by (28/(-4))/((j/10)/(-1)).
34
Suppose 5*v - 4*v - 3 = 0, -5*v = 5*r - 240. Calculate the remainder when 89 is divided by r.
44
Suppose 0 = -r - 2 + 8. Suppose y - 3*g = 17, 2*y - 18 - r = -4*g. Calculate the remainder when 27 is divided by y.
13
Suppose 3*j - 4*n - 27 = n, 0 = -3*n. Let d(u) = 2*u**2 - 14*u + 15. What is the remainder when d(j) is divided by 18?
15
Let c(u) = 2*u**2 - 3*u - 13. Calculate the remainder when 20 - -6*3/(-6) is divided by c(4).
3
Let p(b) = b**3 + 3*b**2 - b + 1. Let i be p(2). Let u = 3 + i. What is the remainder when 2*u + (0 - 1) is divided by 15?
13
Let m be -4*(1 - 7/4). Suppose m*u + 20 = 4*s, 6*s - s - 25 = -3*u. Let t(r) = -r + 11. What is the remainder when s is divided by t(9)?
1
Let u(z) = -z**3 + 13*z**2 + 5*z - 15. Let q be (-1)/(-3) + (-304)/(-24). What is the remainder when u(q) is divided by ((-65)/4)/(-5)*4?
11
Suppose 0 = 2*z + z + 3075. Let s = z + 199. What is the remainder when (-6)/10 - s/35 is divided by 13?
10
Suppose 46*f - 39*f = 2471. What is the remainder when f is divided by 90?
83
Suppose 0 = -4*u + 8*u. Suppose -4*r + q = -9*r + 56, u = -3*r - 3*q + 24. What is the remainder when r is divided by 7?
5
Let f = 20 + -16. Let l be (45/20)/3*f. Suppose l*u = -3*b + 411, -u + 0*u + 135 = 3*b. Calculate the remainder when u is divided by 35.
33
Suppose 3*b = 9, -1 = -4*o - 2*b + 9. Let n(r) = o + r**2 - 5*r - 3 - 5 - r. Calculate the remainder when n(9) is divided by 11.
9
Suppose 5*g + k + 371 - 83 = 0, -g - 4*k - 50 = 0. Let w = g + 119. What is the remainder when w + (-4)/4 + -1 is divided by 16?
11
Suppose w - 83 + 6 = -5*d, -3*d = 12. What is the remainder when w is divided by 83?
14
Let n(q) = q**3 - 24*q**2 + 20*q + 97. Calculate the remainder when n(23) is divided by 15.
13
Suppose v = -v + 162. Suppose -5*n + 97 = -2*s, -4*s + 45 = 4*n - 55. Suppose -a = -2*a + n. What is the remainder when v is divided by a?
18
Let y(b) = 8*b**2 + b - 4. Calculate the remainder when 173 is divided by y(-3).
43
Suppose 0 = -7*t + 2*t + 150. Suppose 48 = c + 2*u, 5*c - 4*u - 165 = u. Let z = c + -22. What is the remainder when t is divided by z?
14
Suppose -85*g + 106*g = 105. Calculate the remainder when 28 is divided by g.
3
Suppose -263 = -3*n - a - 4*a, 4 = -2*a. Let f = n + -84. Let r = -20 - -47. Calculate the remainder when r is divided by f.
6
Let l(z) = z + 70. Let n be l(0). Let f(o) = o**2 + 3*o + 4. Let r be f(9). Let a = r - n. Calculate the remainder when a is divided by 22.
20
Let j = -313 + 325. What is the remainder when 79 is divided by j?
7
Let x be -6*6/(-9) - 0. Calculate the remainder when (12/(-9))/(x/(-45)) is divided by 4.
3
Let n be -2*(9/(-6) + 2). Let p be 3/(n + 4) + -1. Suppose -4*f + p*f + 16 = 0. Calculate the remainder when 13 is divided by f.
1
Let g(y) = y**2 - 6*y + 6. Let b(f) = f**2 + 5*f + 8. What is the remainder when g(10) is divided by b(-5)?
6
Let q = 26 + 8. Let s = 92 + -87. Suppose -4*a = -y - q, 30 + s = 3*a + 4*y. What is the remainder when 35 is divided by a?
8
Suppose -2*q + 2 = 3*r + 6, -3*r - 3*q = 9. Let w be (r/6)/(2/(-12)). Calculate the remainder when 9 is divided by w/5 - (-32)/5.
3
Suppose 97*v - 2 + 72 = 102*v. What is the remainder when v is divided by 6*2*2/12?
0
Let h(t) = 4*t**2 + 3. What is the remainder when 427 is divided by h(-3)?
37
Let n = -39 + 44. Suppose -28 - 22 = -n*v. What is the remainder when 29 is divided by v?
9
Suppose -79 = -2*v - 3*i, 4*v - 120 = v - 5*i. Suppose v = 4*t + t. Calculate the remainder when 18 is divided by t.
4
Suppose -13*g = -24*g + 462. Calculate the remainder when 209 is divided by g.
41
Let a(w) = w**2 - 5*w - 3. Let l be a(5). Let r be -6 - 4*l/6. Let c(o) = -3*o + 4. What is the remainder when c(r) is divided by 6?
4
Suppose 4*k - 2*o - 297 - 93 = 0, 0 = -4*o - 12. What is the remainder when k is divided by 67?
29
Suppose 87*d + 34*d = 3751. Suppose 3*t = 5*t - 2*r - 292, -5*r = 3*t - 478. Calculate the remainder when t is divided by d.
27
Let t = -1118 + 1225. What is the remainder when t is divided by 2?
1
Suppose -42 = -d - 2*d. Let m(u) = 7*u**2 + 3*u - 1. Let r = -15 + 12. What is the remainder when m(r) is divided by d?
11
Let y be 50/175 - (-1620)/14. Suppose 6*j - y = 4*j. Suppose -3*g + 6*g = 2*b + 47, 79 = 5*g - 4*b. Calculate the remainder when j is divided by g.
13
Suppose t = -2*n + 33, n = -2*t + 82 - 31. What is the remainder when t is divided by 14/35 + (-28)/(-5)?
5
Suppose 3*z - 33 - 297 = 0. Calculate the remainder when z is divided by 19.
15
Let o = 71 - 33. Calculate the remainder when o is divided by (3008/1128)/((-1)/(-3)).
6
Let a = 31 - 31. Suppose 2*j - 8 = a, -3*j - 10 = -f + 27. Calculate the remainder when f is divided by -2*13/2*-1.
10
Suppose -38 = 2*a - 4*a. Suppose p = -g + a + 33, -p = 3*g - 164. Calculate the remainder when g is divided by 30.
26
Let p(y) = y + 1. Let c(r) = -4*r - 6. Let s(w) = c(w) + 2*p(w). Suppose 5*m + 2 = 7*m. What is the remainder when s(-4) is divided by m?
0
What is the remainder when 26 is divided by ((-118)/14)/(-1) - (-30)/(-70)?
2
Let s(h) = -2*h - 10. Let q(t) = t + 5. Let d be (1 + -8 + 3)/2. Let y(n) = d*s(n) - 5*q(n). What is the remainder when 19 is divided by y(-10)?
4
Let t(d) = d**3 - d + 33. Let o be 2/4 + 781/22. What is the remainder when ((-24)/(-9))/(1/o) is divided by t(0)?
30
Let v be (-4)/10 - 808/(-20). Let q = v - -35. What is the remainder when q is divided by 21?
12
Suppose -3*r = 2*g - 1194, 4*g + 4*r + 597 = 5*g. Calculate the remainder when g is divided by 12.
9
Suppose 2*w - 5*k + 427 = 1593, w + 2*k - 601 = 0. Calculate the remainder when w is divided by 11.
10
Suppose 7*o - 43 = -8. Suppose 0 = -f + 2*l + 28, o*f + 2*l - 80 = 0. Calculate the remainder when f is divided by 3.
0
Let l = 18 + -79. Let a = 2 - l. Let j(v) = 2*v**2 + 3*v + 4. Calculate the remainder when a is divided by j(-3).
11
Suppose 0 = -4*z - 4*x - 44, -2*x - 8 = -2*z + 2*x. Suppose 3*v + 8 = 50. What is the remainder when (z - 27)*10/(-6) is divided by v?
13
Let b(l) = -74*l**2 + 4*l - 1. Let c be b(1). Let w = c - -84. What is the remainder when 60 is divided by w?
8
Suppose -6*r - 362 = -128. Let x = r + 46. Let o = -22 - -25. What is the remainder when x is divided by o?
1
Suppose -64 = -4*k + 2*g, -49 = -3*k + 4*g - 1. Suppose 2*w + o + 3*o = 74, 0 = -w - 4*o + 27. Calculate the remainder when w is divided by k.
15
Let u be -1*(1/(-3))/((-5)/2115). Let g = 151 + u. What is the remainder when 13/(2*(-2)/(-12)) is divided by g?
9
Let d = 0 + 42. Suppose z - 108 + d = 0. Calculate the remainder when z is divided by 23.
20
Suppose -81*i + 38*i + 11524 = 0. Calculate the remainder when i is divided by 76.
40
Let q(u) = 8*u**2 + 1. Let v = -89 + 59. Let p = v - -45. Calculate the remainder when p is divided by q(1).
6
Let g(r) = -r**2 + 9*r - 1. Let y = 3 + -1. Suppose 5*c - 45 = -0*o + 5*o, 3*c - 25 = y*o. What is the remainder when g(c) is divided by 7?
6
Let p = -22 + 35. Let u be (p - 14)*1/(-1). Suppose 3*t + u - 94 = 0. Calculate the remainder when 121 is divided by t.
28
Suppose -4*v - 60 = -24. What is the remainder when 42/v*1*-15 is divided by 12?
10
Suppose 4*v = 4*h + 948, 984 = -0*v + 4*v + 5*h. What is the remainder when v is divided by 23?
11
Suppose -3*y = -5*h - 1111, 5*y + h + 55 = 1860. What is the remainder when y is divided by 52?
50
What is the remainder when 382 + -12 + (-20)/(-4) is divided by 77?
67
What is the remainder when 9/12 - (-306)/8 is divided by 19?
1
Let n be 30/9*(-60)/25. Let f(x) be the third derivative of -x**4/6 - 3*x**3 + x**2