 is divided by x?
1
Let f = 25 + -2. Suppose 5*p + 8*p = 1456. What is the remainder when p is divided by f?
20
Suppose -17*d - 76 = -144. Calculate the remainder when 28 is divided by d.
0
Let n = -2080 - -2137. Calculate the remainder when 454 is divided by n.
55
Let j(k) = k**3 - 10*k**2 + 4*k - 33. What is the remainder when j(10) is divided by 5?
2
Suppose 4*n + 109 = 4*i + 5*n, 2*n + 133 = 5*i. Suppose -3*o = 4*j - 328, -379 = -5*j - 6*o + 10*o. What is the remainder when j is divided by i?
25
Let o be 16 + (12/(-3) - -2). Suppose 5*w - o = 4*w. Calculate the remainder when w is divided by (14/(-42))/((-1)/15).
4
Suppose -19*k = -15*k - 16. What is the remainder when k is divided by 4?
0
Let x = -63 - -63. Suppose d + d - 46 = x. What is the remainder when 160 is divided by d?
22
Suppose -g - 4*z = -6, -4*g - 5*z + z = -48. What is the remainder when 49 is divided by g?
7
Let x(d) = d**3 - 16*d**2 + 20*d - 14. Let a(w) = w**2 + 6*w + 7. Let p be a(-7). Let z be p/21 - 43/(-3). Calculate the remainder when x(z) is divided by 21.
19
Suppose -4*k = -5*v - 3*k - 19, 4*k - 31 = 5*v. Let m = 1 - v. Suppose m + 5 = 3*s. What is the remainder when s is divided by 3?
0
Suppose -a + 1490 = 4*a. Suppose 87 = 5*p - a. What is the remainder when p is divided by 13?
12
Suppose c + 33 = 2*z, z = 3*c - 16 + 125. Let h = 73 + c. Let m = -14 + h. Calculate the remainder when 85 is divided by m.
19
Suppose 3*f + 40 = 112. Suppose 29*h = f*h + 45. What is the remainder when 24 is divided by h?
6
Let t(a) = 2 - 5 + 200*a - 198*a. Calculate the remainder when 29 is divided by t(6).
2
Suppose 0 = 3*r + 149 - 311. Let j(i) = 2*i + 3. What is the remainder when r is divided by j(4)?
10
Suppose -5*m = -4*r + 52 - 3, 3*m = 5*r - 58. Suppose 5*j = -r + 36. Calculate the remainder when 18 is divided by 5*j/(15/6).
8
Let i = 185 + 175. Let m = i + -224. Calculate the remainder when m is divided by 35.
31
Let b = 96 + -48. Let v = b + -24. What is the remainder when v is divided by 5?
4
Let n(z) = -8*z - 5. Let r(y) = -85*y - 18. What is the remainder when r(-2) is divided by n(-2)?
9
Suppose 0 = 77*s - 66*s - 561. What is the remainder when 186 is divided by s?
33
Let b = 621 + -557. What is the remainder when 575 is divided by b?
63
Suppose -5*c + 363 = -2*r + 3*r, 4*c + 2*r = 288. What is the remainder when c is divided by 8/32 - (-900)/48?
16
Let m(w) = 20*w - 28. What is the remainder when m(5) is divided by 21?
9
Suppose -5*c + 4*c - 5*r = 24, 5*r + 27 = 2*c. Suppose 80*v - 75*v = -n - 39, 0 = -4*v - 3*n - 40. Let h = c - v. What is the remainder when 15 is divided by h?
7
Suppose q + 18 = 64. Suppose 15*o - 17*o + q = 0. What is the remainder when 45 is divided by o?
22
Let s = 355 - 320. Calculate the remainder when 1049 is divided by s.
34
Let w = -853 + 926. What is the remainder when w is divided by 44?
29
Suppose 0*g + 5 = r + 4*g, 5*r = -g - 13. Let t be 4/(4/r) + -2. Calculate the remainder when 2/10 + (-209)/t is divided by 9.
6
Let g be -5*36/4 + 0. Let q = -11 - g. Calculate the remainder when q is divided by 25.
9
Let b be ((-16)/3)/((-5)/30). Suppose 0*w = -2*w - 34. Let t = w + b. Calculate the remainder when 57 is divided by t.
12
Let g = -28 - -46. Let r = -5 + g. Suppose 0*h + 3*h = -4*x + 185, -3*x - 4*h = -130. What is the remainder when x is divided by r?
11
Let b = 193 + -56. Calculate the remainder when b is divided by (420/18)/(2/3).
32
Let q = 23 + -8. Let l(k) = 2*k - 4. Suppose -5*a + 27 = -3. Calculate the remainder when q is divided by l(a).
7
Let z = 102 + -60. Let k = z - 27. What is the remainder when (-59)/((-1)/((-2)/(-2))) is divided by k?
14
Let v(p) = 2*p + 4. Let d be v(-3). Suppose -q = 4*u - 2 - 19, -6*q - 4 = -2*u. Calculate the remainder when d/(-1 + (-1 - -1)) is divided by q.
0
Let z(u) = -u**3 + 11*u**2 + 13*u + 11. Let r be z(12). Let l = -2 + r. What is the remainder when 83 is divided by l?
20
Let t(z) = -z**3 - z**2 + z - 1. Let f be t(-2). Suppose 2*u - 13 = 3*c - 8*c, 3*c - u = -f. What is the remainder when ((-2)/3)/((-4)/18) is divided by c?
0
Let b = -1357 - -1407. What is the remainder when 1247 is divided by b?
47
Calculate the remainder when 7/(-1) - (-106 + 43) is divided by 45.
11
Let l(s) = -s**3 - 4*s**2 + 3*s + 2. Let m be l(-5). What is the remainder when 83 is divided by (-514)/(-12) + 2/m?
40
Let o = -181 - -347. What is the remainder when o is divided by 43?
37
Let d(p) = -p + 17. Let w be (-2 - -1)/(-1)*0. Suppose -n + 4*n = w. What is the remainder when d(n) is divided by 10?
7
Let x be (-416)/9 + (-32)/(-144). Let k = x + 86. Suppose 5*a = k + 25. What is the remainder when 25 is divided by a?
12
Suppose 2*k + 50 - 3 = s, 0 = -2*s + k + 103. Suppose -2*a = -21 - s. Calculate the remainder when a is divided by 19.
18
Suppose -17*n + 19*n - 8 = 0. Suppose n*r - 6*r + 3*x - 7 = 0, 0 = 4*r + 3*x - 31. Calculate the remainder when 18 is divided by r.
2
Suppose -123*y = -131*y + 464. Calculate the remainder when y is divided by 12.
10
Let w = -242 - -133. Let m = w - -123. Calculate the remainder when 53 is divided by m.
11
Suppose -2179 = -44*r + 19161. What is the remainder when r is divided by 60?
5
Suppose 217 + 311 = 6*t. Calculate the remainder when t is divided by 7.
4
Suppose -5*y - 3*c = -156, -8*y + 171 = -3*y - 2*c. Let h be 3/(9/2 + -3). Suppose 6 = -3*l, l = h*f - 2*l - 40. Calculate the remainder when y is divided by f.
16
Let s(u) = -u - 2. Let d = -39 - -55. Suppose -2*f = -f + d. What is the remainder when 54 is divided by s(f)?
12
Suppose -v + 17 = 2*a, 4*v - 19 - 34 = -3*a. Let i(u) = -u**3 + 11*u**2 + 2*u - 15. What is the remainder when 19 is divided by i(v)?
5
Let w = 218 + -217. Let i = -11 - -14. Calculate the remainder when i is divided by w.
0
Suppose 14*c - 293 - 533 = 0. What is the remainder when c is divided by 29?
1
Let x(v) = -161*v**3 - 3*v**2 + v + 2. Let f be x(-1). Suppose -4*y - 2*w + 3*w + f = 0, -3*w = -2*y + 87. What is the remainder when 114 is divided by y?
36
Let k = 34 + -20. Suppose 4*r + 28 = 2*j, 0 = -5*r - j + 3*j - 33. Let a = r + k. Calculate the remainder when 16 is divided by a.
7
Let o(n) = -4 + 2*n - 10*n**3 + 3*n**3 - 3*n**2 + 6*n**3 + 2*n. Calculate the remainder when 50 is divided by o(-5).
24
Suppose -9*j + 4*j = -500. Suppose 7*f - j = 2*f. What is the remainder when 6/10*50/60*74 is divided by f?
17
Suppose -45*y = -44*y + 48. Let u = y - -57. Calculate the remainder when 35 is divided by u.
8
Let x = 7 - 12. Let g(n) = n**3 + 6*n**2 + 4*n + 7. Suppose 0 = 4*f - 4*w - 28, -f - 4*f = -w - 35. What is the remainder when g(x) is divided by f?
5
Suppose q + 24 = -2*q. Calculate the remainder when (-654)/q - (-5)/20 is divided by 1 + (2 + 15 - -3).
19
What is the remainder when (127 - 1)/6*(2 + 3) is divided by 53?
52
Let m be 46/((-9)/(-7) + -1). Suppose -4*u + 4*s = -0*u - 324, -2*u = -3*s - m. What is the remainder when u is divided by 17?
14
Suppose -l = -2*a + 6*a - 273, 342 = 5*a + 2*l. Calculate the remainder when 103 is divided by a.
35
Let u = 4 + -1. Let m = u + 4. Let a(f) = f**3 - 20*f**2 + 35*f + 31. What is the remainder when a(18) is divided by m?
6
Let x = -250 - -278. What is the remainder when 107 is divided by x?
23
What is the remainder when ((-190)/(-40))/19 - 139/(-4) is divided by 26?
9
Suppose -461*w = -481*w + 4160. Calculate the remainder when w is divided by 16.
0
Let m(s) = 5*s**2 + 4*s + 7. Calculate the remainder when m(-4) is divided by 18.
17
Let f(a) = -2*a**3 - a**2 + 3*a + 127. Calculate the remainder when f(0) is divided by 52.
23
Suppose 0 = 2*k - 2 - 2. Let l be -150*(7/2 - 4). Suppose -5*p + l = -k*p. What is the remainder when 98 is divided by p?
23
Suppose -4*r - 159 + 5 = -5*g, 162 = 5*g - 2*r. Calculate the remainder when 133 is divided by g.
31
Let v = -116 + 1302. What is the remainder when v is divided by 29?
26
Suppose h - 6*h = -55. Let v(r) = -63*r - 7. Let a be v(-5). Suppose 0 = -6*t - 50 + a. Calculate the remainder when t is divided by h.
10
Let q(a) = 4*a - 5. Let k be (-2)/8 + (-6)/(-24). Suppose 0 = -k*z - 4*z + 8, -3*x - 4*z = -17. Calculate the remainder when 18 is divided by q(x).
4
Let j = -10 - -12. Suppose -a + j*a + 3 = 0, 2*n + 3*a = 61. Let u(k) = 4*k**2 + 3*k + 2. Calculate the