v + 4, 0 = 2*a + 4*v - 44. Calculate the remainder when 73 is divided by a.
1
Let c(y) be the second derivative of y**4/12 - y**3/2 + 11*y**2/2 + y. Calculate the remainder when 31 is divided by c(0).
9
Suppose -2*m - 2*y + 63 - 15 = 0, -5*m + 80 = -5*y. Calculate the remainder when 99 is divided by m.
19
Suppose -140*m = -135*m - 495. What is the remainder when m is divided by 29?
12
Let r(h) = -2*h + 1. Let a be r(-2). Suppose -2*b = 2*k - 16, a*k + 0*b - 5*b = 0. What is the remainder when 13 is divided by k?
1
What is the remainder when 153 is divided by (-104)/52*(-111)/6*3?
42
Suppose 4*i + a = -i + 89, i - 19 = a. Suppose -i = -j + 4*z, -z - 4*z = -5. Calculate the remainder when 1 + j - (-2 + 1) is divided by 13.
11
Suppose -3*l - 15 = 0, 0 = 4*q + 2*l + 4 + 98. Let v = q - -42. Calculate the remainder when 49 is divided by v.
11
What is the remainder when 222 is divided by 42/4*(-1 - 21/(-9))?
12
Let h = 21 + -4. Let b(d) = 20*d - 51. Let u(n) = 3*n**3 + 25*n**2 + 8*n + 3. Let l be u(-8). Calculate the remainder when h is divided by b(l).
8
Let v(h) = h + 32. Calculate the remainder when v(-23) is divided by 1 + 2 + 0/(-1).
0
Suppose -6*c + 176 = 10*c. Suppose c*f - 13*f + 6 = 2*d, -5*d - 3 = -f. Let j(p) = 2*p**2 + 6*p + 1. Calculate the remainder when j(-4) is divided by f.
0
Let c = -34 - -42. Suppose -22 = -6*w + c. Calculate the remainder when w is divided by 2/(-6) + 16/12.
0
Suppose -p - p = -26. Suppose -6 = 4*b + 2*d, 4*b - 5*d + p = -0*b. Let l = b + 8. Calculate the remainder when l is divided by 2.
0
Suppose -2346 = -13*l + 449. What is the remainder when 438 is divided by l?
8
Let y(z) = z**3 + z**2 - 9*z + 7. What is the remainder when y(3) is divided by 3?
1
Let p = 230 + -93. Suppose 2*q - 26 = -d, 2*q + 102 = 2*d + 20. What is the remainder when p is divided by d?
29
Suppose -3 = -9*n + 15. Suppose 0 = 3*w - n*w - 9. Calculate the remainder when 26 is divided by w.
8
Let u(s) = s**2 + 2*s - 30. Calculate the remainder when 197 is divided by u(-8).
17
Suppose 6*n - 175 = -85. Suppose -4*u = -4*x, 3*u + 8 = -4*x - u. Calculate the remainder when x/2 + (-255)/(-6) is divided by n.
12
Let a(m) be the second derivative of -3*m - 5*m**2 + 0 + 1/6*m**3. Calculate the remainder when 12 is divided by a(15).
2
Let x(n) = 6*n**3 - n**2 + 7*n - 10. What is the remainder when 168 is divided by x(2)?
24
Let y(h) = -5*h**2 - 6*h + 3. Let l(d) = 2*d**2 + 3*d - 2. Let u(r) = -10*l(r) - 6*y(r). Calculate the remainder when u(-2) is divided by 16.
14
Suppose -21*f - 540 = -30*f. Suppose a - 3*d = 16, -60 = -5*a - 0*d - 5*d. Let u = 8 + a. Calculate the remainder when f is divided by u.
18
Let u = -322 - -370. Calculate the remainder when u is divided by 17.
14
Let b(o) = o + 1. Let y be b(3). Suppose 2*a - y*p = 94, -p = -5*a + p + 211. Let w = -1849 + 1860. What is the remainder when a is divided by w?
8
Let x be (1 - -1 - 10)/1. Let s = 10 + x. Suppose v = 3*d - d + 2, v + s*d = 18. Calculate the remainder when 29 is divided by v.
9
Suppose -126 - 18 = -9*s. Let c = s + -6. Let u = 22 + 15. Calculate the remainder when u is divided by c.
7
Let d = -5 - -16. Let l(s) = 6*s**2 - 12*s + 7. Let x(y) = 5*y**2 - 12*y + 7. Let c(j) = -4*l(j) + 5*x(j). Calculate the remainder when d is divided by c(12).
4
Suppose 4*i + 4 = 0, 0 = 5*o + 4*i + 1 + 8. What is the remainder when 28 is divided by (o + (-27)/(-3))/1?
4
Let d = 105 - 72. Suppose -4*f - o + 72 = 0, -3*f + 5*f - 3*o = 22. Calculate the remainder when d is divided by f.
16
Suppose -2*l = -4*p + 8, -2*p + 4*p - 10 = 0. Suppose k = -3*n + 10, -10 = 31*k - 29*k. What is the remainder when l is divided by n?
1
Let m(p) = -p**3 + 68*p**2 + 69*p + 246. Calculate the remainder when m(69) is divided by 28.
22
Calculate the remainder when (-2)/5 + 197/5 is divided by 1 + (1 + 4 - -2).
7
Let u(v) = -41*v + 4. Let n(w) = -3404*w + 333. Let x(i) = 4*n(i) - 333*u(i). Calculate the remainder when x(3) is divided by 38.
35
Let q = -166 + 232. Let s be 3 + -1 + 0/3. Suppose -s*r = -r - q. What is the remainder when r is divided by 17?
15
Suppose -4*d + w = -413, 13*w - 12*w = 2*d - 209. Calculate the remainder when d is divided by 9.
3
Suppose -116 = -2*s - 2*z + 34, 115 = 2*s - 5*z. Suppose -5*l = 180 - s. What is the remainder when 3 is divided by (-1)/(-4) - l/8?
0
Let r = 208 + -307. Let o = -81 - r. Calculate the remainder when o is divided by 14.
4
Suppose 1671 + 5643 = 131*f - 78*f. Calculate the remainder when f is divided by 42*((-4)/6)/(-1).
26
Let y(z) = -35*z**3 + z**2 - 1. Let m(v) = 19*v - 1109. What is the remainder when y(-1) is divided by m(59)?
11
Let q(k) = -k**2 + 8*k + 3. Let r be q(8). Suppose 5*w = -5*c + 40, 2*w + 2*w - r*c = -3. Suppose y = -w*y + 32. What is the remainder when y is divided by 6?
2
Let b(d) = -2*d + 31. Let z be b(0). Let j be (2/(-3) - -1)*183. Let m = j - z. Calculate the remainder when m is divided by 16.
14
Suppose 1 = 3*f - 5. Suppose 0*v = 3*g + f*v - 31, g + v - 12 = 0. What is the remainder when 83 is divided by g?
6
Let s be 4/3*(-21)/(-14). Suppose -s*x = -m + 2 + 4, 4*x + 8 = 0. Suppose g - 10 = -2*r + 5, -g + m*r = 1. Calculate the remainder when 12 is divided by g.
5
Let n be (1 - 1)/(-2 + (-9)/(-3)). Suppose 6*f - 115 + 13 = n. What is the remainder when 27 is divided by f?
10
Let q = -3 - 1. Calculate the remainder when 69 is divided by q*(-1*36)/4.
33
Suppose -5*w + 1 = -6*w + 4*f, -5*w + 31 = -2*f. What is the remainder when 41 is divided by w?
6
Let y(t) = 19*t - 24. What is the remainder when 120 is divided by y(2)?
8
Suppose 96 = 5*p + 2*q, 5*p + q - 92 = -3*q. Let o(r) = 6*r + 3. Let k be o(-6). Let l = k - -71. Calculate the remainder when l is divided by p.
18
Suppose 0 = 5*l - b - 53, -l - 3*b - 16 = -17. What is the remainder when l is divided by 2?
0
Let u = 380 + -296. Calculate the remainder when u is divided by 8.
4
Let q(c) = 52*c + 45. Let l(i) = 26*i + 23. Let k(o) = 7*l(o) - 4*q(o). Calculate the remainder when k(-2) is divided by 17.
16
Let h(s) = 4*s**2 + 47*s - 11. Let g be h(-12). What is the remainder when 146 is divided by (g + 2 + -2 - 4)*-7?
20
Suppose 354*p - 357*p + 27 = 0. What is the remainder when 35 is divided by p?
8
Let w = -26 + 47. Let i = w + -33. What is the remainder when i/7*(-21)/6 is divided by 4?
2
Let h(u) = -u**3 + 2*u**2 + u + 1. What is the remainder when 493 is divided by h(-2)?
13
Let k = 876 + -813. What is the remainder when k is divided by 13?
11
Suppose a = 5*l - 2858, -2*l - 3*a = l - 1704. Calculate the remainder when l is divided by 26.
25
Calculate the remainder when 87 is divided by (-156)/9*-9*(-5)/(-30).
9
Let r = -1961 + 2044. What is the remainder when 493 is divided by r?
78
Let r = 18 - -1. Suppose 0*k + k = r. Let w = -73 - -80. Calculate the remainder when k is divided by w.
5
Suppose 3*t - 100 = 23. Suppose -4*n + 319 = -4*a + 79, 5*a = -3*n + 156. Let c = n - t. Calculate the remainder when c is divided by 10.
6
Let c(b) = -6*b - 19. Let p(o) = o - 8. What is the remainder when c(-5) is divided by p(15)?
4
Suppose -3*m - 39 = 5*c, c + 13 = 3*m - m. Suppose b = z - 17 + 46, -115 = -4*b + 5*z. Calculate the remainder when 55 + c/(12/(-4)) is divided by b.
28
Let v = -3 - -7. Suppose 4*m = -v*i - 68 + 292, -3*i - 2*m + 166 = 0. Calculate the remainder when -2 + i + (2 - 4) is divided by 17.
16
Let o(h) = h**3 - 17*h**2 - 36*h - 28. What is the remainder when 129 is divided by o(19)?
9
Suppose 2*w - 12 = -2. Calculate the remainder when 21 is divided by w.
1
Suppose -42*g + 828 = 4*g. Calculate the remainder when 26 is divided by g.
8
Suppose 0 = -5*n - 4*x + 114, -n - 5*x + 25 = -2*x. Suppose 2*s + s - 57 = 0. Let b(u) = 2*u + 4. Calculate the remainder when b(s) is divided by n.
20
Let b(m) = -m**2 + 9*m - 13. Let u be b(9). Let p = 18 + u. Suppose -p*g - 2*q = -51, -5*q + 1 = g - 0. What is the remainder when 20 is divided by g?
9
Suppose -4*p - p - i + 218 = 0, -4*p + i = -169. Suppose 0 = -3*r - 5*l + 6 + 239, 3*l = -2*r + 164. What is the remainder when r is divided by p?
42
Suppose -132 = -11*t + 88. What is the remainder when 959 is divided by t?
19
What is the remainder when 612 is divided by (-1)/((-7)/22)*(-429 + 436)?
18
Let y(u) be the third derivative of -4*u**4/3