4*d - 1160. What is the remainder when 284 is divided by d?
9
Let n(z) = z - 11. Suppose 8*m - 39 = 5*m. Let x be n(m). Suppose -x*a + 18 = 2*g, 5*g - 29 = 2*a - 3*a. Calculate the remainder when 10 is divided by a.
2
Suppose -3*w + 2*r = -152, w - 14 = -5*r + 65. Calculate the remainder when w is divided by (286/(-91))/((-4)/14).
10
Let a(l) = l**2 + 12*l - 1. Let m be a(-13). What is the remainder when 14 is divided by m - 5 - (2 + 0)?
4
Let g(z) be the second derivative of -z**4/12 - 8*z**3/3 - 4*z**2 + 6*z. What is the remainder when g(-13) is divided by 8?
7
Let f(i) = -31*i - 759. What is the remainder when 136 is divided by f(-26)?
42
Let r(o) = -36*o + 137. Suppose 0 = s + s - 60. What is the remainder when r(3) is divided by 1/(2*1/s)?
14
Calculate the remainder when (-6 + 4)*(-91)/2 is divided by 23.
22
Suppose -f = -4*f + 4*z + 16, -2*f - 2*z = 8. Suppose 15*t - 10*t - 90 = f. What is the remainder when 62 is divided by t?
8
Let s = 4 - 7. Let k(g) = g**3 + 4*g**2 - 5*g - 2. Let p(u) = -31*u - 20. What is the remainder when p(-2) is divided by k(s)?
20
Let z = -21 + 23. Suppose q = 2*q - 5*d - 17, 2*d = 4*q - 32. Calculate the remainder when q is divided by z.
1
Suppose 7*k + 366 - 842 = 0. What is the remainder when k is divided by 4?
0
Calculate the remainder when 234 is divided by 8 - 2/6*-9.
3
Suppose 932*i - 832 = 919*i. Suppose 4*w - 154 = -2*b + 52, 2*b + 6 = 0. Suppose 5*c - w = 3*p, 0*p = c - 3*p - 1. What is the remainder when i is divided by c?
12
Suppose 0 = 5*t + y - 680, 4*t - 302 = -4*y + 226. Calculate the remainder when t is divided by 18.
11
Let y = 523 - 404. Calculate the remainder when y is divided by 60.
59
Let t(g) = 2*g**2 - 35*g + 19. Let l be t(17). Suppose 4*i + 5*h - 217 = l*h, -5*i - 2*h = -280. What is the remainder when i is divided by 15?
13
Suppose 9 = p + 4. Suppose -28 = -p*g - 3*d, 0 = 7*d - 2*d + 20. Suppose -63 = -g*z + 3*z + 2*h, -5*h = 20. What is the remainder when 20 is divided by z?
9
Suppose 8 + 129 = 3*r - 4*p, 3*r + p - 112 = 0. What is the remainder when 190 is divided by r?
34
What is the remainder when 67 is divided by ((5 - -1) + 0)/(1/3)?
13
Let p = -31 + 34. Suppose 174 = 9*g - p*g. What is the remainder when g is divided by 10?
9
Let m(q) = -q**2 + 27*q - 44. What is the remainder when 123 is divided by m(22)?
57
Suppose 0 = -5*a - 2*t + 1105, 3*a + 448 = 5*a + 2*t. What is the remainder when a is divided by 11?
10
Suppose -3*g + 81 = -0*g. Let w = -20 - -24. Let k = 18 - w. Calculate the remainder when g is divided by k.
13
Let g = -7 - -11. Let n(y) = -4*y + 9. Let x(v) = -13*v + 26. Let w(r) = 8*n(r) - 3*x(r). Calculate the remainder when w(2) is divided by g.
0
Suppose -20 = -4*k, 0 = -0*s - 2*s - 4*k + 24. Suppose s = 2*q - 2. Calculate the remainder when 4/18 - 170/(-45) is divided by q.
0
Let r be (35/14)/((-1)/(-4)). Let c be (-2)/(-2)*(210 - r). Suppose -v = 2*f - 88, 0 = -4*f + 2*v + 2*v + c. What is the remainder when f is divided by 24?
22
Let n = -317 + 327. Calculate the remainder when 10 is divided by n.
0
Let k be (-14)/(-7) + (-110)/2. Let t = k - -94. Calculate the remainder when 161 is divided by t.
38
Let j(u) = -u**2 - 20*u - 63. What is the remainder when 140 is divided by j(-5)?
8
Let x(r) be the first derivative of -2*r**3/3 + r**2/2 + 4*r - 10. What is the remainder when 13 is divided by x(0)?
1
Suppose 1498*d + 663 = 1511*d. Calculate the remainder when d is divided by 9.
6
What is the remainder when 16 is divided by 4*2/(-52) + (-56)/(-26)?
0
Let y be 6/((-15)/(-5)) - 2. Suppose 0 = p - m - 81, y = -p - 4*m - m + 69. What is the remainder when p is divided by 14?
9
Suppose -b + 17 = -8. Calculate the remainder when b is divided by 1.
0
Suppose -3 + 15 = 2*m. What is the remainder when 64 is divided by m?
4
Suppose -3*y + h = -95, -5*y + y + 3*h = -120. What is the remainder when 40 is divided by y?
7
Let z(b) = 2*b + 1. Let p be z(5). Suppose 0 = 8*w - p*w. Suppose 3*u - 5*f - 9 = w, 5*f + 0*f - 15 = -5*u. What is the remainder when 5 is divided by u?
2
Suppose 0 = 3*c - l + 3*l - 26, 0 = c - 2*l - 22. What is the remainder when 45 is divided by c?
9
What is the remainder when 124 is divided by 31 - (72/(-3))/(-6)?
16
Suppose 0 = 8*g - 4*g - 8. Let k(n) = -4*n + 5*n + n**3 - n**g + 0*n**2 + 2*n**2 + 6. Calculate the remainder when 28 is divided by k(0).
4
Let n be 2 - 6/2 - -491. Let o = n + -349. What is the remainder when o is divided by 6?
3
Calculate the remainder when 35 - (-28)/(24/6) is divided by 15.
12
Let x(j) = -19*j + 1. Calculate the remainder when (-17918)/(-153) + 6/(-54) is divided by x(-1).
17
Suppose 3*f + 7*a = 4*a + 90, -f + 31 = 2*a. Calculate the remainder when 135 is divided by f.
19
Let l(k) = 3*k + 2. Let r be l(-2). Let z be (-6)/r - (-121)/2. Suppose 3*d - 5*s - z = 0, -d + 2*d = 4*s + 23. Calculate the remainder when 55 is divided by d.
17
Suppose -2*s = -2*g - 3*s + 8, -4*s = -3*g + 1. Suppose -g*m + m = 2. Calculate the remainder when 48 is divided by ((-50)/(5 + -3))/m.
23
Let z = -20 - -25. Suppose 5*p - 35 = -z. Suppose -4*j - 4 = -5*j. Calculate the remainder when p is divided by j.
2
Suppose 10*x - 34 - 1806 = 0. What is the remainder when x is divided by 9?
4
Let h(m) = -m**3 - 5*m**2 + 3*m - 4. Suppose 2*s - 4*k = 140, 211*k - 213*k - 274 = -4*s. Calculate the remainder when s is divided by h(-6).
12
Let x = 128 - 73. What is the remainder when x is divided by 32?
23
Suppose -3*f = 8 + 4. Calculate the remainder when 5 is divided by (f/10)/((-1)/5).
1
Let t = -14 + 20. Let z(k) = -12581*k**2 - 5*k - k + 12583*k**2 - 13. Calculate the remainder when 68 is divided by z(t).
22
Suppose 36*u + 0 - 1044 = 0. Calculate the remainder when 693 is divided by u.
26
Suppose 5*s - 7*s - 8 = -n, -2*n = 3*s + 12. Calculate the remainder when (n/4 + -1 - -1) + 209 is divided by 30.
29
Let d = 30 + -27. Suppose -2*b = -d*b + 83. Let h = -40 - -61. Calculate the remainder when b is divided by h.
20
Suppose 5*i + 69 = 27*c - 25*c, i - 99 = -2*c. Let k = -17 + 35. What is the remainder when c is divided by k?
11
Let d = 113 + 116. Calculate the remainder when d is divided by 23.
22
Suppose 4*s - 96 = s. Suppose 6*f - f - 20 = 0, -3*f = 2*c - 262. Calculate the remainder when c is divided by s.
29
Let a = 60 - 37. Suppose -6*c + 218 + 598 = 0. What is the remainder when c is divided by a?
21
Let w = 35 - 24. Let l(i) = i**2 - 8*i - 25. What is the remainder when l(w) is divided by (-11 - 1)*(-2)/4?
2
Let w(p) = p**2 - 4*p. Suppose 2*n - 7 = 11. What is the remainder when w(n) is divided by 23?
22
Suppose 25*r - 2318 = 1282. What is the remainder when r is divided by 58?
28
Let q(c) = c**3 - 12*c**2 - 13*c - 3. Let d be q(13). What is the remainder when 23 is divided by -3 + d + -4 + 23?
10
Suppose 63 = 35*j - 26*j. What is the remainder when 173 is divided by j?
5
Let i be 22/165 - (-56)/30. Let a = i + 13. Suppose -m - m + 22 = 2*t, -4*t + 3*m + 9 = 0. What is the remainder when a is divided by t?
3
Suppose 0*r = 2*r - 8. Suppose -3*h - 2*w + 7 = -4*h, 4*h - 2 = 2*w. What is the remainder when r is divided by ((-1 + 0)*1 - -2) + h?
0
Let p(s) = 2*s**2 - 5 + 14*s - 2 - 4*s**2 + 3. Let k be p(6). Suppose 5*q = -2*a + q - k, 4*a - 5*q = 36. Calculate the remainder when 13 is divided by a.
1
Suppose 758 - 2786 = -78*n. Let u(w) = 13*w - 3. Calculate the remainder when u(6) is divided by n.
23
Let q = -74 + 762. Calculate the remainder when q is divided by 23.
21
Let a = -533 - -293. Let k = 68 - 40. Calculate the remainder when k is divided by 32/a + (-122)/(-15).
4
Let w be (-2)/2*(-1 - -4). Let y be 3 + 0 + (-5 - w). What is the remainder when (-22)/(y*(-3 - -2)) is divided by 12?
10
Let a = -247 - -255. What is the remainder when 14 is divided by a?
6
Let j = 31 - 29. What is the remainder when 45 is divided by 3 + 13/((j + -3)/(-1))?
13
Suppose -7*r = 1 - 43. Let p(l) = l**3 - 4*l**2 + 7*l - 9. Calculate the remainder when p(r) is divided by 27.
24
Let d(z) be the first derivative of -4*z**4 + z**3/3 - z - 1. What is the remainder when 62 is divided by d(-1)?
14
Let j be ((-160)/(-2) + 2)/(2/2). Suppose 0 = 3*k + 4*c - 49, j = 4*k - 0*c - 3*c. What is the remainder when k is divided by 4?
3
Let j(v) = 2*v**3 - 10*v**2 + 2*v - 1. Let