467 = 527. What is the remainder when 36 is divided by c?
16
Let t(u) = u**3 - 9*u**2 + 18*u - 14. What is the remainder when 96 is divided by t(7)?
12
Suppose -23*o + 408 = -15*o. What is the remainder when o is divided by 39?
12
Let x be (1 - (-7 - -2))*-1. Let r be (-1288)/x + (-1)/(-3). Suppose -5*y + 0*l + 4*l + 233 = 0, -5*y - 5*l = -r. What is the remainder when y is divided by 12?
9
Let r(t) = 4*t**2 + 20*t - 12. Let b be r(-11). Suppose 4*s = 5*c - 429, -3*c + b = 2*s + s. Calculate the remainder when c is divided by 22.
19
Suppose 0 = -2*i + a + 8, -5*i - 5*a + 6 = -4*a. What is the remainder when 2/((4/58)/1) is divided by (-784)/(-96) + i/(-12)?
5
Let j(f) = 3*f + 47. Calculate the remainder when 177 is divided by j(-9).
17
Let i = 2 + -42. Let w = i + 68. Let k(y) = 2*y**2 + 12*y + 1. Calculate the remainder when k(-11) is divided by w.
27
Let z be ((-23)/(-4))/(1 - (-67)/(-68)). Suppose -z - 291 = -11*q. Calculate the remainder when q is divided by 9.
8
Let b = -212 + 258. What is the remainder when 319 is divided by b?
43
Suppose 3*q - 279 = -2*b, -3*q - 815 + 800 = 0. Let z(v) = -2*v**3 - 5*v**2 - 2*v. Calculate the remainder when b is divided by z(-3).
12
Let r(u) = u**3 + 10*u**2 + 17*u - 14. What is the remainder when 82 is divided by r(-6)?
26
Let i = 3 + 24. Calculate the remainder when i is divided by 5.
2
Let f = 6225 + -6083. Let c(x) = 2*x**2 - x. What is the remainder when f is divided by c(-4)?
34
Suppose -6*b = -11*b - 505. Let i = b - -154. Calculate the remainder when i is divided by 18.
17
Suppose 2*o = 18 - 14. Suppose 6*l = -4*p + 4*l + 58, -o*p + 3*l + 9 = 0. Calculate the remainder when 44 is divided by p.
8
Suppose 62*q - 116 = 58*q. Calculate the remainder when 87 is divided by q.
0
Let b(d) = -2*d**3 - 26*d**2 - 4*d + 25. Calculate the remainder when b(-13) is divided by 14.
7
Suppose q + q - 2 = 0. Let d = q - -10. Let h(x) = x**2 - 10*x + 1. Calculate the remainder when h(d) is divided by 8.
4
What is the remainder when 118 is divided by 470/188*92/5?
26
Let s be (-2484)/16 - (-1)/4. Let g = s + 166. Calculate the remainder when 15 is divided by g.
4
Suppose 1016 + 1752 = 16*s. Calculate the remainder when s is divided by 35.
33
Let l = -29 + 51. Suppose 4*y + 496 = -3*w - w, -5*w - 656 = -4*y. Let o = w - -170. Calculate the remainder when o is divided by l.
20
Let d = -18 + 18. Suppose 3*n = -2*t + 34, 3*n - 4*n + t + 18 = d. Suppose -u = -3*x - x + n, 4*x - 2 = 3*u. Calculate the remainder when u is divided by 4.
2
Calculate the remainder when (47 - -5) + 0/1 is divided by (144/40)/(2/10).
16
Suppose 5*m = 3*m + 118. Suppose w - m = 15. Let j(f) = -f**3 - 18*f**2 - 45*f + 19. Calculate the remainder when w is divided by j(-15).
17
Suppose -5*o = 3*d - 70, 16*o + d = 18*o - 39. Calculate the remainder when 49 is divided by o.
15
Let p(h) = -h**2 - 8*h + 2. Let k be p(-6). Let r = k + -13. What is the remainder when r*12 + 1 + 0 is divided by 5?
3
Let y(l) = -l**2 - 5*l + 5. Let u be (-344)/(-72) - 6/(-27). What is the remainder when (u*-2 - -2)/(-5 - -4) is divided by y(-5)?
3
Let u(a) = 5*a + 6. Let h be u(6). Let k = 50 - h. What is the remainder when 55 is divided by k?
13
Let k(x) = 5*x - 2. Let j be ((-3)/(-2))/(1/10) - 0. Suppose -j*v + 102 = 2*v. What is the remainder when k(7) is divided by v?
3
Let m = 280 + -260. What is the remainder when m is divided by 6?
2
Let a(z) = -2*z**2 - 19*z - 10. Let f = 67 - 60. What is the remainder when a(-4) is divided by f?
6
Let p(j) be the first derivative of j**3/3 + 10*j - 3. Suppose 4*a = -4 + 20. What is the remainder when p(0) is divided by a?
2
Suppose o - 2*o = 0. Suppose o = -4*a + 2*a + 30. Calculate the remainder when 43/((-1 + 2)/1) is divided by a.
13
Let m = 195 - 173. Calculate the remainder when 83 is divided by m.
17
Let a = 8 + -6. Suppose a*m - 16 = -l, 3*l = -2*l + 20. Suppose 4*x - m*x = -12. What is the remainder when 13 is divided by x?
1
Suppose 0 = 5*r - 5*t - 120, -36*r + 3*t = -39*r + 66. Let l = 20 + -14. What is the remainder when r is divided by l?
5
What is the remainder when ((-9)/(45/(-10)))/((-4)/(-186)) is divided by 49?
44
Calculate the remainder when 3 + -5 - -136 - 7 is divided by 26.
23
Let j = 633 + -612. What is the remainder when 501 is divided by j?
18
Suppose 0*f = -10*f + 700. Suppose -4*i - 5*u = -f, -2*i + 3*i = -5*u + 25. Calculate the remainder when 7/((-1)/4*-1) is divided by i.
13
Let m = 81 + -44. Suppose -5*s = 3*u - 9, 4*u + 2*s - m = -11. What is the remainder when 21 is divided by u?
5
Let y be (-1156)/12 - (-20)/15. Let o = 170 + y. What is the remainder when o is divided by 19?
18
Suppose 29 = 4*j + 2*c - 19, -2*j + 28 = -c. Let i = 840 + -793. What is the remainder when i is divided by j?
8
Let z(n) = -2*n**2 - 18*n - 3. Let y be z(-9). Let r(d) = -2*d**3 + d**2 + 2*d + 2. Calculate the remainder when r(y) is divided by 30.
29
Suppose 5*f - 175 - 20 = 4*k, f = -k + 48. What is the remainder when 727 is divided by f?
39
Let t(v) = v**3 + 9*v**2 - v - 4. Let d be 2 - (15 + 4/(-1)). What is the remainder when 8 is divided by t(d)?
3
Suppose -56 = -5*a + a. Let x(v) = 2*v - 4. Calculate the remainder when -2 + 2 + a*2 is divided by x(5).
4
Let l(q) = 6*q + 288. What is the remainder when l(-38) is divided by 13?
8
Let n(s) = -s**3 + s**2 - s + 16. Let y be n(0). Let b be (-4)/y - (-116)/16. Suppose -5*c - 26 = -b*c. Calculate the remainder when c is divided by 8.
5
Let m(w) = 13*w + 24. Let a(u) = -84*u - 156. Let r(d) = 5*a(d) + 32*m(d). What is the remainder when 13 is divided by r(-5)?
5
Let m(c) = 4*c - 21. Suppose 2*d + 4*g = 38, -3*d + 49 = -0*d + 4*g. What is the remainder when m(d) is divided by 6?
5
Suppose 4*b + 1800 = 13*b. Suppose 3*c - c = -5*q + b, -c - 185 = -5*q. Calculate the remainder when 149 is divided by q.
35
Let s(n) = -2*n**2 - 23*n - 3. Let h(g) = 2*g**2 + 22*g + 4. Let w(a) = 5*h(a) + 6*s(a). Calculate the remainder when w(-12) is divided by 26.
24
Let u be 64 - ((-8)/(-4))/2. Suppose -3*t = -0*t - 3*q - u, -4*q + 36 = 2*t. Calculate the remainder when 39 is divided by t.
19
Suppose 4*d + 4 = 0, 0*d + 5*d + 130 = -5*s. What is the remainder when 1/((-10)/s)*(-84)/(-15) is divided by 8?
6
Let o(d) be the third derivative of 5*d**4/12 + 5*d**3/6 + 27*d**2 + 1. Calculate the remainder when 95 is divided by o(2).
20
Let n = 400 - 372. Let w be (1/(-1))/(2/(-6)). Suppose -j = w - n. What is the remainder when j is divided by 7?
4
Let b = 22 + -16. Suppose -10 = 2*u, -5*w + 3*u + 41 - b = 0. Suppose -4*m + 16 = w. What is the remainder when 9 is divided by m?
0
Let o = 177 - 167. Calculate the remainder when 79 is divided by o.
9
Suppose -75 = 13*j - 439. Let y(v) = -v**3 + 7*v**2 + 4*v + 4. Let d be y(7). Suppose -3*k = -d - 13. Calculate the remainder when j is divided by k.
13
Let d = -309 - -340. What is the remainder when 90 is divided by d?
28
What is the remainder when 234 is divided by ((-1435)/28)/((-35)/56)?
70
Suppose -8*f = -9*f + 5. Suppose t - m + 293 = 6*t, f*t - 4*m = 303. Let s(q) = -2*q**3 + q**2 - q - 2. Calculate the remainder when t is divided by s(-2).
19
Suppose -r = -n - 24 - 15, -3*r = -4*n - 151. Suppose -180 = -4*b + b. Let a = b + n. What is the remainder when 50 is divided by a?
24
Suppose -p + 37 = 30. What is the remainder when 54 is divided by p?
5
Let y = -105 - -97. Let q(g) = -g**2 - 12*g - 18. What is the remainder when 50 is divided by q(y)?
8
Suppose 66 = 10*s - 4. Suppose 3*w + 324 = s*w. Calculate the remainder when w is divided by 42.
39
Let x be (-38)/(-4) - (-2)/4. Calculate the remainder when (-6)/(7 - 6 - x/8) is divided by 5.
4
Let c = -76 - -114. What is the remainder when 189 is divided by c?
37
Calculate the remainder when 6/15 + -1 + (-14180)/(-50) is divided by 7.
3
What is the remainder when 1409 is divided by 21/6*2 - -10?
15
Suppose -p + 6 = p. Suppose 0*o = o - p. Calculate the remainder when 38 is divided by (-3)/(o/(-17)) - -3.
18
Let s(k) = 1 - 412*k - 178*k - 1. Let i be s(-1). Calculate the remainder when (i/20)/((-2)/(-4)) is divided by 20.
19
Let k = 80 + -46. What is the remainder when k is divided by 21?
13
Let b be 9*((-40)/12)/5. Calculate the remainder when 1*56 + b + 2 is divided by 14.
10
Let a(s) = -s**3 + 19*s