 25 - j. Calculate the remainder when 23 is divided by c.
7
Suppose 0 = -4*k + 35 + 9. Suppose -k*c = -3*c - 648. Calculate the remainder when c is divided by 14.
11
Let v(n) = 2*n**3 - 6*n**2 - 4*n + 24. What is the remainder when v(6) is divided by 56?
48
Suppose -2*x + 43*z - 42*z = -190, 2*z = 3*x - 287. What is the remainder when 369 is divided by x?
90
Let q be 148 + (-4)/(-4) + (-1)/1. Calculate the remainder when 117 is divided by q/5 + (-2)/(-5).
27
Let m = 9 - -7. Let x = 415 - 361. What is the remainder when x is divided by m?
6
Let z = 561 + -509. Calculate the remainder when 565 is divided by z.
45
Suppose 3*c - 2*c + 3*q = 16, c = 2*q + 11. Let l = 30 - -7. Calculate the remainder when l is divided by c.
11
Suppose -5*x + 100 = 5*h, -3*x + 33 = 30. What is the remainder when 126 is divided by h?
12
Suppose 0 = -3*f + 1 + 5. Let s(k) = -47*k + 288. What is the remainder when s(6) is divided by f?
0
Let d = 289 - -116. Calculate the remainder when d is divided by 24.
21
Let s = -172 - -215. What is the remainder when s is divided by 15?
13
Suppose 10*a - 7*a - 1759 = -5*r, -a - 347 = -r. Calculate the remainder when r is divided by 9.
8
Let o = 1920 - 1784. What is the remainder when o is divided by 42?
10
Suppose -5*n - 6 = 4, -39 = -x - n. What is the remainder when 118 is divided by x?
36
Let c(n) = 13*n + 6. Let g(b) = 2*b**3 - b**2 + b + 1. Let p be g(2). Let k = p + -3. What is the remainder when c(2) is divided by k?
8
Suppose l - 3*w = 540, 4*l - 3*w + 1035 = 6*l. Calculate the remainder when l is divided by 48.
45
Suppose 0 = -4*q - 96 - 360. Let u = q - -128. What is the remainder when u is divided by 4?
2
Suppose -2*u + 2 = 3*n, 0*u + 2 = -2*u - 2*n. Calculate the remainder when u/(-30)*17*6 is divided by 9.
8
Suppose 78*d - 19845 = 29*d. Calculate the remainder when d is divided by 17.
14
Let k be 32/(-5) + 6 + (-36)/10. Calculate the remainder when (k/3)/(-1 - 95/(-105)) is divided by 9.
5
Let n = -208 - -222. Let z(h) = h**2 + 3*h - 2. Let l be z(6). Suppose -4*o + 48 = -l. Calculate the remainder when o is divided by n.
11
Let p(z) = z**3 - 9*z**2 - 23*z + 15. Let b be p(11). Suppose -b*l = -41 + 5. Calculate the remainder when 29 is divided by l.
2
Let d = -108 - -151. Suppose 1 = 5*x - 44. Calculate the remainder when d is divided by x.
7
Suppose -111 = -h + 3*o, -153 = -5*h + 2*o + 441. What is the remainder when 330 is divided by h?
90
Suppose -3*f + 1105 = 10*f. What is the remainder when f is divided by -1 - (-31 + (-1)/(-1))?
27
Suppose 2*n + 79 = t, -2*n + 7*n - 44 = -t. Suppose -15*q - 79 + 529 = 0. Let r = q + -20. What is the remainder when t is divided by r?
9
Let j(r) = r**2 - 7*r - 11. Let p be j(9). Suppose -p*q + 2*q = -25. What is the remainder when 7 is divided by q?
2
Suppose -12*k = -42 + 6. Calculate the remainder when 69 is divided by (6/(-4))/((k/(-26))/3).
30
Let s(v) = -6*v + 4. Let j be s(3). Let r(k) = -2*k**3 - k**2 + 2. Let w be r(-2). Calculate the remainder when 22 is divided by 2/j - (-170)/w.
10
Let p(r) be the first derivative of -r**2/2 - 6*r - 2. Calculate the remainder when 2 is divided by p(-8).
0
Let c(s) = 2*s**2 + 2*s + 10. Calculate the remainder when 130 is divided by c(5).
60
Let m = -11 - -11. Suppose 3*c - c = m. Let t(u) = -u**3 + 2*u**2 + 82. Calculate the remainder when t(c) is divided by 17.
14
Calculate the remainder when 3 - 0 - (-43 - -51) - -580 is divided by 17.
14
Let h = -30 - -37. Suppose -3*m + 8 = -h. Let i(j) = 2*j**2 - 5*j + 4. What is the remainder when i(3) is divided by m?
2
Suppose 1143 = 4*i - 369. Suppose 24*h = 17*h + i. What is the remainder when 268 is divided by h?
52
Let u(c) = -c. Let t(w) = -5*w - 11. Let n(q) = -t(q) + 6*u(q). Let l be n(9). Suppose -23 = -5*o + l. Calculate the remainder when 10 is divided by o.
0
Let j = 1662 - 1636. What is the remainder when 414 is divided by j?
24
Let g(q) = 1 + 9*q - 5*q**2 + q**3 - 3*q**2 - 16 - 4*q. Let o = 15 + -1. What is the remainder when g(8) is divided by o?
11
Let k(y) be the second derivative of y**5/20 + y**4/3 - 2*y**3/3 + 5*y**2 - 5*y. What is the remainder when 17 is divided by k(-5)?
2
Let b(c) = -c**3 - 8*c**2 - 4*c + 1. What is the remainder when 125 is divided by b(-8)?
26
Let f(i) = 67*i - 2846. Suppose -5*p - 80 = -200. What is the remainder when f(43) is divided by p?
11
Calculate the remainder when 1054 is divided by 6/(((-30)/80)/(-3)).
46
Let r = 3 + -3. Suppose r = b - j - 14, 3*b - j = -4*j + 12. What is the remainder when 18 + (-7 - -1 - (-48)/12) is divided by b?
7
Let s(q) = q**3 + 8*q**2 - 4*q - 9. Let r be (-99)/11 + 1/1. Calculate the remainder when s(r) is divided by 9.
5
Let v be ((3 - -3) + -4)*102. Calculate the remainder when 66 is divided by (v/30)/(6/15).
15
Let s(u) = -19*u - 5. Let t be s(-4). Suppose 6*p - 37 = t. Suppose -4 = -2*i + 6. What is the remainder when p is divided by i?
3
Let h = 51 - 43. Let g be -3*(-15)/12*4. Suppose d + 4*d - g = 0. Calculate the remainder when h is divided by d.
2
Let u = -148 - -178. What is the remainder when 89 is divided by u?
29
Let q = 1347 - 1280. Calculate the remainder when 867 is divided by q.
63
Let o(f) = 5*f - 32. Let y be (-1)/4 + (4 - (-58)/8). What is the remainder when o(y) is divided by 5?
3
Let s(t) = -t**3 + 6*t**2 - 4*t - 5. Let x be s(5). Suppose 3*n = -x*n + 57. Calculate the remainder when 94 is divided by n.
18
Let z(s) = s**2 + 1. Suppose 5*h = -4*p + 37, 4*p - 52 = -3*h - 33. What is the remainder when h is divided by z(2)?
4
What is the remainder when (-4)/(-6) - 151/(-3) is divided by 183/10 - 102/340?
15
Suppose -27*o + 246 = -21*o. Calculate the remainder when o is divided by 14.
13
Let n(g) = g + 10. Let p = -9 + 3. Suppose 29 = 5*q - w, 0 = -5*q - 2*w - 14 + 31. Calculate the remainder when q is divided by n(p).
1
Suppose 113*j - 16 = 112*j. Calculate the remainder when 505 is divided by j.
9
Suppose 3*x - 7 = 32. Suppose -7 - x = -4*u, -28 = -4*a - 4*u. Suppose 2*r = -a*p + 18, -p = -4*p - 12. Calculate the remainder when 24 is divided by r.
11
Let w(t) = t**2 + 5*t + 4. Let y(v) = -v**3 + 3 + 3 - 2*v**2 - 3 + v**2 + 2*v. Calculate the remainder when w(-5) is divided by y(-2).
1
What is the remainder when 57 is divided by -10*(-10 - (7 + -15))?
17
Let x = 60 - 28. Suppose -2*i + 2*r = -244, 0*r - 4*r + 637 = 5*i. What is the remainder when i is divided by x?
29
Suppose 5*h = -3*v - 22, h = -5*v + 6*h - 50. Let z be 372/5 - v/15. Suppose -5*a + z = -50. What is the remainder when a is divided by 13?
12
Suppose -313*x + 317*x = 120. What is the remainder when 147 is divided by x?
27
What is the remainder when 34 is divided by 1 + 7*15/35?
2
Let s(u) = -u + 23. Suppose -6 = 4*t - x - 39, 5*x - 27 = -4*t. Calculate the remainder when s(0) is divided by t.
7
Let a(l) = 2*l - 11. Let o be a(10). Let c = -6 + o. What is the remainder when 9 is divided by c - 1 - (0 + -4)?
3
Suppose 3*o + 30 = -v - 64, 2*o + v = -61. Let g = o - -11. Let s = g + 23. What is the remainder when 1 is divided by s?
0
Let g = 32 - 4. Let r(n) = n**2 - 46*n + 82. Calculate the remainder when r(0) is divided by g.
26
Let o = 172 - -164. Suppose -4*w + o = 4*w. What is the remainder when 167 is divided by w?
41
What is the remainder when (-4 - 52/(-16))*-908 is divided by 19?
16
Let k(q) = 102*q**2 - 3. What is the remainder when k(-1) is divided by 68?
31
Let t(h) be the first derivative of 3*h**4/4 - 7*h**3/3 - 3*h + 20. Calculate the remainder when t(3) is divided by -3*((-7)/3 + 1).
3
Let a(i) = 20*i**2 + 2*i - 1. Let u be a(-2). Suppose 0 = -4*l - l + u. Let h = 172 - 114. What is the remainder when h is divided by l?
13
What is the remainder when 113 is divided by (-147)/(-42)*48/14?
5
Let w(g) = -15*g. Let l be w(1). What is the remainder when (0 + 8)/(l/(-90)) is divided by 7?
6
Let z(m) = -m**3 + 9*m**2 - 9*m + 7. Let f(w) = -w**2 - 8*w - 3. Let n be f(-7). What is the remainder when z(n) is divided by 13?
12
Let q = -108 + 173. Calculate the remainder when q is divided by 20.
5
Suppose 77 = 4*x - 3*f, 0 = 3*f - 6 + 3. Calculate the remainder when 439 is divided by x.
19
Let a(i) = -1 + 3 + 4 - 30 + 2*i. What is the remainder when 69 is divided by a(21)?
15
Suppose 0 = m - 2*u - 57, 2*m - 167 = -m + 4*u. Let b = 3