 What is the remainder when 33 is divided by b?
3
Let i be (4/10 - (-60)/225)*6. Suppose 5 + 51 = i*s. Calculate the remainder when 25 is divided by s.
11
Suppose 2*p + 3*w - 30 = 5*p, 20 = 4*w. Let m = p - -12. Calculate the remainder when -2*-2*76/16 is divided by m.
5
Let a = 270 - 193. Let g(r) = -r**3 - r**2 + 3*r + 16. What is the remainder when a is divided by g(0)?
13
Let d = 218 - 213. Calculate the remainder when 13 is divided by d.
3
Suppose 0 = 7*h + 7*h - 98. Calculate the remainder when 27 is divided by h.
6
Let v(g) = -3*g - 5. Let o be v(-2). Calculate the remainder when 286/6 + (-1)/(-3) is divided by 12 + (-2 + o - 1).
8
Let s(n) = n**3 - 17*n**2 - 10*n - 120. Calculate the remainder when 309 is divided by s(18).
21
Let d = 33 + -19. Suppose -3*m + d*m = 517. What is the remainder when 185 is divided by m?
44
Let u(p) be the first derivative of -p**4/4 + 5*p**3 - p**2/2 + 22*p + 11. What is the remainder when u(15) is divided by 6?
1
Let f(c) = -62*c + 410. Let q = -12 + 26. Calculate the remainder when f(6) is divided by q.
10
Let g(i) = -i**3 - 2*i**2 + 17*i - 10. Calculate the remainder when g(-8) is divided by 24.
22
Suppose -9 + 9 = 6*u. Suppose 0 = 9*t - u*t - 378. What is the remainder when t is divided by 11?
9
Suppose 0 = 3*d + a + a - 22, 4*a = 8. Suppose r - p = 2*p - 40, 3*p - 15 = 0. Let q = r + 35. Calculate the remainder when q is divided by d.
4
Suppose 2*m = -5*f - 11, -4*f - 3*m = -0*f + 13. Let u be ((f - -1) + -4)*2. What is the remainder when 2/1*(-12)/u is divided by 3?
0
Suppose -u + 188 = -5*p, 5*p + 3 = 8*p. What is the remainder when u is divided by 49?
46
Let u(s) = 25*s + 148. Let p = 5 - 3. Calculate the remainder when u(-5) is divided by p.
1
What is the remainder when 28 is divided by ((-3)/1)/(6/(-4))?
0
Let j(n) = 39*n**2 + 1. Suppose -5*m = 4*m + m - 70. Calculate the remainder when j(-1) is divided by m.
5
What is the remainder when 838 is divided by 30 - (13 - 6 - 8)*0?
28
Let z = 62 + -3. What is the remainder when 228 is divided by z?
51
Suppose -4*h - 15 = -39. Let d = h - 14. What is the remainder when 16 is divided by (d - -14) + 1*3?
7
Suppose y + k + 20 = 2*y, -y = 3*k - 8. Calculate the remainder when 133 is divided by y.
14
Let q be (-2)/(-7) + 12/7. Suppose 12*d - 3*d = 45. Suppose x = 1 + q, 0 = d*r + 5*x - 85. What is the remainder when 67 is divided by r?
11
Suppose -4*x = t - 107 + 34, 3*x - 69 = 4*t. Let p = 6 + -5. What is the remainder when 2/(p + 33/(-35)) is divided by x?
16
Suppose -12 = -2*x - 4*u, -3*x - 4*u + 2 = -14. What is the remainder when 25 is divided by ((-4)/(-6))/(x/234*3)?
12
Suppose 2*h - 5 = 7*h. Let y = h - -1. Suppose -3 = f, y*c + c - 3*f = 20. Calculate the remainder when 20 is divided by c.
9
Let u(b) = -14*b + 109. Calculate the remainder when 52 is divided by u(7).
8
Suppose 150 = 3*y + 3*b - 8*b, 0 = -2*y - 5*b + 75. Suppose 3*r - y = -2*r. Calculate the remainder when 10 is divided by r.
1
Suppose 0 = -21*r + 1345 - 148. What is the remainder when r is divided by 12/54 + 356/18?
17
Let g(w) = -43 + 23 + 25 - 7*w. What is the remainder when g(-8) is divided by 31?
30
Suppose -4*s + 234 = -0*i + 5*i, 0 = -5*s - 2*i + 284. Let j = 65 - s. Calculate the remainder when 41 is divided by j.
5
Suppose -20*z - 63*z = -6308. What is the remainder when z is divided by 36?
4
Suppose 4*f = -4 - 4, -h = -2*f - 7. Suppose 3*y = -6, -2*u + h*y = -0*y - 220. What is the remainder when u is divided by 54?
53
Suppose 0 = 10*w - 15*w. Suppose -3*y = r + 3*r + 17, w = -y - 5*r - 24. Let s(n) = 13*n**2 - 3*n + 2. What is the remainder when s(y) is divided by 7?
5
Let i(s) = -20*s + 29. Calculate the remainder when 147 is divided by i(1).
3
Let t = 14 - -24. Calculate the remainder when (-6)/(-2) + -1 + 33 is divided by t*(4/(-8) + 1).
16
Let j(u) = 8*u - 58. Let w be j(9). Let f = -6 + 2. What is the remainder when 102 is divided by (w/f)/(9/(-90))?
32
Let d = 12 + 38. Let u = -25 + 96. Let y = u - d. Calculate the remainder when 61 is divided by y.
19
Suppose -15*u = -5*u - 360. What is the remainder when (-1 - (-25)/15)/(2/u) is divided by 12?
0
Let w(o) = o**3 - 5*o**2 - 22*o + 14. What is the remainder when 208 is divided by w(8)?
28
Suppose 3*t = 6*t + 9, -3*v = -2*t - 60. Suppose 0 = 171*x - 179*x + 24. Calculate the remainder when v is divided by x.
0
Suppose -10*a = -50 - 480. What is the remainder when 195 is divided by a?
36
Let q(o) = o**3 + 21*o**2 - 10*o - 1. What is the remainder when q(-21) is divided by 10?
9
Let v = -9 + 11. Let n be (v/(-1) - -1)*-2. Suppose -6*k + 28 = -n*k. Calculate the remainder when 12 is divided by k.
5
Let r(t) = -t**3 + 7*t**2 - 4*t - 2. Calculate the remainder when 21 is divided by r(6).
1
Let u = 6 + 3. Let b(x) = x + 2. Let y be b(3). Suppose y = -3*g + 104. What is the remainder when g is divided by u?
6
Suppose -2*m = 2*m - 80. Let f = 2 - -36. What is the remainder when f is divided by m?
18
Let d = 143 - 77. Let q(k) = -k**2 - 7*k + 385. Calculate the remainder when d is divided by q(-23).
15
Suppose 5*p + 4*t - 9680 = 0, -5*t + 4392 + 1416 = 3*p. Calculate the remainder when p is divided by 17.
15
Let i = -373 + 386. Let q = -150 + 242. Suppose -4*z = -2*z + 5*m - 68, 0 = -3*z - 5*m + q. Calculate the remainder when z is divided by i.
11
Let l(z) = -153*z + 317. Let m = 52 - 35. Calculate the remainder when m is divided by l(2).
6
Let c(r) = -r**2 - 9*r - 10. Let a(z) = -2*z**2 + z + 10. Let g be a(3). Calculate the remainder when 19 is divided by c(g).
9
Suppose 7*m + 10*m = -8*m + 175. Suppose g = 2*i + 11, -2*g + 29 = -g + 4*i. What is the remainder when g is divided by m?
3
Let f(a) = a**2 + 3*a + 8. Let k be f(13). Suppose -3*u = 6*u - k. What is the remainder when u is divided by 9?
6
Let g(j) = -2*j**2 + 6*j. Suppose 0 = -2*r - 3*r + 20. Let u be g(r). Calculate the remainder when 21 is divided by (3 - 4)/(1/u).
5
Suppose 0 = 3*p + 5*n - 3 + 28, 2*n - 2 = 0. Let x = p - -20. Let t = 19 - x. Calculate the remainder when 24 is divided by t.
6
Let g(w) = -w**2 + 30*w - 143. Suppose 10 = 5*c - 0*c. Suppose 7 = c*m + 3. Calculate the remainder when m is divided by g(24).
0
Suppose 0*p + 20 = 4*p, 45 = 3*v + 3*p. What is the remainder when 37 is divided by v?
7
Let t(f) = 215*f**2 + 9*f - 4. What is the remainder when t(1) is divided by 76?
68
What is the remainder when 133/(-21)*-3 - 2 is divided by 7?
3
Let g = -9 - -15. Let s be (-5 - -10) + (-2 - 2). What is the remainder when 0 + ((-40)/(-4))/s is divided by g?
4
Suppose -5*i + 0*i - 2*k + 89 = 0, 4 = 2*k. What is the remainder when (-122)/(-3 - (-3 + 0)/3) is divided by i?
10
Suppose 4*b + 4*n - 24 = 0, 4*b = -2*n + 5 + 11. Suppose -4 - 3 = -d + 2*g, g + 5 = b*d. Calculate the remainder when 27 is divided by -3 + 9/d + 1.
6
Let d(h) = h**2 - h. Let i(x) = -x + 1. Let k be i(0). Let s be d(k). Let z(o) = -o**2 + 26. Calculate the remainder when z(s) is divided by 9.
8
Let q = -19 + 24. Suppose -j + 1 = -0, -q*j = x - 30. Let y = 94 - -3. What is the remainder when y is divided by x?
22
Let t(n) = n**2 + 57*n + 400. What is the remainder when t(-51) is divided by 4?
2
Let x(i) be the second derivative of 3*i**4/4 + i**2/2 - 7*i. Calculate the remainder when 25 is divided by x(-1).
5
Let q(g) = 2*g**2 - 4*g + 3. Let w be (2 + -3 - -3) + 0. Suppose -4*k = 2*v + 2, v = -3*k - 4*v - 19. What is the remainder when q(w) is divided by k?
1
Let j(l) = 17*l**3 - 7*l**2 - l. Let k be j(-2). Let x = k - -228. What is the remainder when x is divided by 17?
15
Let i(w) = -12*w + 8. Let v be 4 + (1 - 2) - (0 - -7). What is the remainder when i(v) is divided by 19?
18
Let s(d) = -d**3 + 8*d**2 + 6*d + 11. Suppose 0 = 4*c - 3*x - 96, 8*c - 96 = 4*c + 5*x. What is the remainder when s(8) is divided by c?
11
Let t = 164 - 127. What is the remainder when 88 is divided by t?
14
Let z(v) = -4*v**3 - 17*v**2 - 7*v. Calculate the remainder when 706 is divided by z(-4).
10
Let k = -4 - -2. Suppose 10*j - 15*j = -40. Calculate the remainder when (-61)/k - 1/2 is divided by j.
6
What is the remainder when 282 is divided by (-7)/(-2)*3840/280?
42
Let z(k) = -3*k**2 + 4*k + 1. Let q(y) = -2 - 2*y**2 + 5 + 4*y - 2*y**2 - 2. Let p(b) = -2*q(b) + 3*z(b). What is the remainder when p(2) is