r when 63 is divided by n.
8
Suppose 5 + 6 = -u + 3*j, 0 = -j + 5. Suppose u*w = -20, -3*w - 30 = -4*l + l. Calculate the remainder when 23 is divided by l.
3
Calculate the remainder when 54 is divided by (8 + -6)/((3 - 5)/(-12)).
6
Let c(v) = v**3 + 6*v**2 + 7*v + 1. Let y be c(-4). Suppose 0*u - 145 = -y*k + 3*u, -58 = -3*k - 4*u. What is the remainder when 48 is divided by k?
22
Let p(i) = i**3 - 2*i**2 + i + 34. Calculate the remainder when p(0) is divided by 18.
16
Calculate the remainder when (-5)/(-1 - 14)*351 is divided by 41.
35
Suppose 0 = -5*x - 2*o + 358, -4*x + 2*x + o = -136. Calculate the remainder when x is divided by 28.
14
Suppose 22*o - 1290 = 140. What is the remainder when 100 is divided by o?
35
What is the remainder when 276 is divided by (-1)/((-7)/(-49)) + 16?
6
Let j(u) = -18*u - 28. Calculate the remainder when 162 is divided by j(-4).
30
Let g(v) = -2*v**2 + 7*v + 7. What is the remainder when g(4) is divided by 1?
0
Let m = 74 + -10. What is the remainder when 575 is divided by m?
63
Let j(x) = 9*x**2 - 4*x - 15*x**2 + 3*x**3 - 2*x**3 - 7. Let t be j(7). What is the remainder when 101 is divided by 888/26 + t/(-91)?
33
Suppose -4*t - 3*n = -149, -2*n + 89 = 2*t + 15. Let j = 32 + -22. What is the remainder when t is divided by j?
8
Let z = -45 + 32. Let o = z - -28. Calculate the remainder when o is divided by 5.
0
Suppose 327 = 5*k + 97. Let j(l) = -2*l + 29. What is the remainder when k is divided by j(0)?
17
Let s be 1 - (8 + -3)/(-5). Let i = s - 1. Calculate the remainder when i is divided by 1.
0
Let g = -11 + 26. Calculate the remainder when g/12 - (-118)/8 is divided by 12.
4
Let y(p) be the first derivative of -17*p**2/2 + p - 22. What is the remainder when 206/3 + 1/3 is divided by y(-1)?
15
Let y(c) = c**3 - 13*c**2 + 16*c - 30. What is the remainder when 233 is divided by y(12)?
17
Let u(m) = -4*m**2 - m + 24. What is the remainder when 35 is divided by u(0)?
11
Suppose -8*b + 17*b = 1224. Calculate the remainder when b is divided by 5.
1
Suppose 0 = 4*d - 4*i - 280, 2*d - 2*i = -3*i + 149. Suppose -3*u = -7*u + n + 38, 5*u = 3*n + 44. What is the remainder when d/2 - 2/4 is divided by u?
6
Suppose 0 = 4*u - 4. Let o = -25 + 41. Let w = o + u. Calculate the remainder when 65 is divided by w.
14
Let y = 8 + 19. Suppose 39 = 2*p - y. What is the remainder when p is divided by 12?
9
Let y(u) = -u**3 + 26*u**2 - 29*u + 174. What is the remainder when 2293 is divided by y(25)?
73
Let r be (16/(-4))/(-1) + 1. Suppose r*c = 94 - 29. Calculate the remainder when 36 is divided by c.
10
What is the remainder when 266 is divided by (-968)/(-32) - 1/4?
26
Let d(v) = v**3 - 6*v**2 - v - 14. Let j be d(6). Let w be (-13)/(-4) - 15/j. Let c(b) = -b**2 + 7*b - 1. Calculate the remainder when 19 is divided by c(w).
8
Let h(n) = n**3 - 153*n**2 + 308*n - 864. What is the remainder when h(151) is divided by ((-1)/3)/(-1)*33?
9
Suppose 5 + 3 = -4*o. What is the remainder when 158 is divided by (5 + 2 + o/(-2))*4?
30
Suppose 47*z = -4*z + 4794. What is the remainder when z is divided by 16?
14
Let j(n) be the first derivative of n**4/4 - 8*n**3/3 + n**2 + 4*n - 3. Calculate the remainder when j(8) is divided by 8.
4
Suppose -3*p + 6*p + 4*j = 41, 3*j = p - 18. Calculate the remainder when 44 is divided by p.
14
Let t = -49 + 72. Let k(p) = 5*p**2 - 11*p + 12. Calculate the remainder when t is divided by k(1).
5
Let k be (3/(-2))/(39/260). Let h = 24 + k. Calculate the remainder when 41 is divided by h.
13
Let c(v) = v - 1. Suppose 0 = 16*z - 15*z - 2. Suppose 0 = z*y - 42 + 4. What is the remainder when y is divided by c(6)?
4
Let r(t) = -t**2 + 11*t - 5. Suppose -2*p = 3*b + 145, 19 = -p - 2*b - 52. Let z = -70 - p. What is the remainder when r(8) is divided by z?
5
Suppose 5*z + 55 = -2*w - 34, 0 = 3*z + 4*w + 45. Let q = -23 - z. Calculate the remainder when 11 is divided by 6/(-4)*-2 - q.
4
Suppose 2*r = -0*r + 14. Let j(w) = r - 3 - 17*w + 2*w. Calculate the remainder when j(-2) is divided by 12.
10
Suppose -3*g + 4*g + 4 = 0. Calculate the remainder when (g/(-8))/((-4)/(-568)) is divided by 24.
23
Let f be (-2)/2 - (-3)/1. Suppose -3*v = -v - 42. What is the remainder when 18 is divided by f/(-4) + v/2?
8
Let n = 16 - 14. Let p be ((-64)/(-12) + n)*-3. What is the remainder when 5/((-20)/p)*10 is divided by 14?
13
Let o = 1744 - 1724. Calculate the remainder when 114 is divided by o.
14
Let b(d) = -2*d**3 + 27*d**2 - 29*d + 16. What is the remainder when b(12) is divided by 37?
26
Let w be (6/2 - 2)*-10. What is the remainder when (-3696)/(-55) - (-2)/w is divided by 14?
11
Let m(z) = -z**2 + 12*z - 24. Let j be m(5). Let d = j - 3. What is the remainder when d is divided by 4?
0
Suppose 3*v - 2*s - 3*s + 8 = 0, -5*s + 4 = -4*v. Let r(z) = 6*z**2 + 2*z + 3. Suppose -24*p - 6 = -18*p. Calculate the remainder when r(p) is divided by v.
3
Let k(d) = 11*d**3 - 33*d**2 - 11*d + 1. Let x(s) = 4*s**3 - 11*s**2 - 4*s. Let t(q) = -3*k(q) + 8*x(q). What is the remainder when 21 is divided by t(11)?
5
Suppose -r + 62 = -0*r. Suppose -5*j + r = -8. What is the remainder when 40 is divided by j?
12
Suppose -2*m - 74 = -4*m. Let z = 500 + -391. What is the remainder when z is divided by m?
35
Let n = -114 - -83. Let j = -15 - n. What is the remainder when 26 is divided by j?
10
Let g(u) = -u + 180. Calculate the remainder when g(21) is divided by 41.
36
Suppose -j + 11 = 4*r, -4*j + 0*j - 3*r = -44. Calculate the remainder when 142 is divided by j.
10
Let u be (-1)/(0 + 3/(-36)). Let r = -7 + u. Suppose -r*m - 5 = -105. Calculate the remainder when m is divided by 11.
9
Let p = 186 - -29. Calculate the remainder when p is divided by 24.
23
Let w(c) = c**3 - 6*c**2 + 5*c + 1. Let o be w(5). Suppose 3*m = 11 + 22. What is the remainder when ((-14)/8)/(o/(-24)) is divided by m?
9
Suppose 5*v + 219 = 2*d - 1581, -3*d + v + 2726 = 0. Suppose -d = -13*l + 6*l. What is the remainder when l is divided by 19?
16
Suppose 66 = 3*s - 3*h, 4*s + 27*h = 23*h + 128. What is the remainder when 184 is divided by s?
22
Let c(t) = 2*t**2 - 12*t - 148. Calculate the remainder when c(15) is divided by 18.
14
Let c be (4/8)/(3/396). Suppose 10*n = 8*n + c. Let f(g) = g**2 - 3*g + 2. What is the remainder when n is divided by f(5)?
9
Suppose -4*p + 37 = -15. Calculate the remainder when 34 is divided by p.
8
Let j(m) = -m**2 - 15*m + 4. Let s be j(7). Let l = -103 - s. What is the remainder when l is divided by 8?
7
Let k be 9/(-27) + (-74)/(-6). Suppose -11*l - 4 = -k*l. What is the remainder when l is divided by 3?
1
Let w = -3 - -14. Suppose 2*n - 52 = 3*m + m, -2*m = 5*n - 142. Suppose 5*z - 2*f = 106, 2*z - n = f - 5*f. Calculate the remainder when z is divided by w.
9
Let q = -20 + 30. Let u = 21 - -3. What is the remainder when (q/25)/((-2)/(-230)) is divided by u?
22
Let n be ((-16)/(-4) - -77) + 3. Suppose -v - 3*v = -n. Calculate the remainder when 81 is divided by v.
18
Let w be (1 - (2 + -2)) + 3. Suppose -8 = -4*x + w. What is the remainder when -68*(20/8 - x) is divided by 12?
10
Let v be 5/(-10)*116/(-2). Let z = v + -13. Let g(c) = -4*c + 1. What is the remainder when g(-7) is divided by z?
13
Suppose -y + 64 = 2*f, 3*f = y - 3*y + 130. Let d = -3 + -156. Let i = -136 - d. Calculate the remainder when y is divided by i.
22
What is the remainder when 15200/114 - (-1)/(-3) is divided by 17?
14
Calculate the remainder when (-11)/(1*(4 + 305/(-75))) is divided by 38.
13
Let w(v) be the first derivative of -v**4/4 - 3*v**3 - v**2 + 11*v + 1. What is the remainder when w(-9) is divided by 5?
4
Let y(w) = 23*w - 78. What is the remainder when 145 is divided by y(5)?
34
Suppose x + 5*l = 29, 2*x + 4*l - 22 = 3*l. Suppose 110 = 11*n - x*n. What is the remainder when n is divided by 21?
13
Suppose 4*t + 0*t = 236. Let s = t + 15. Suppose -4*o + 6*o = s. What is the remainder when o is divided by 20?
17
Suppose 25*n + m = 22*n + 35, n + 2*m - 15 = 0. What is the remainder when 223 is divided by n?
3
Let p = -227 + 237. What is the remainder when p is divided by 3?
1
Suppose -5*c - 49 = -i + 16, 0 = 3*c + 2*i + 52. Let s = -9 - c. Let r(n) = -n**3 + 5*n**2 + n + 1. What is the remainder when r(s) is divided by 2?
0
Let a(z) be the first derivati