 when z is divided by 40?
27
Let y be (2 + (-4)/(-8))*(-16)/(-10). Suppose y*i + 6 = -4*o + 26, 23 = 4*o + 3*i. What is the remainder when 79 is divided by o?
7
Suppose 14*l - 12*l - 114 = 0. What is the remainder when 105 is divided by l?
48
Suppose 8*a = a + 98. Let n = 23 - a. Calculate the remainder when n is divided by 4.
1
Suppose 34 = f - 4. Let j = 73 - f. Let c(m) = -8*m + 1. What is the remainder when j is divided by c(-1)?
8
What is the remainder when (7 - -2) + -7 + 51 is divided by 9?
8
What is the remainder when 86/(-7) - -12 - 298/(-14) is divided by 3?
0
Suppose 5*f + 61 = -2*w, -12 - 3 = 3*f. Let p = -6 - w. Let y(i) = -i**3 - 3*i**2 + 2*i + 5. Calculate the remainder when y(-5) is divided by p.
9
What is the remainder when ((-391)/345 - 4/(-30))*-55 is divided by 4/6 + 40/3?
13
Suppose 18*f = 24*f - 60. What is the remainder when 18 is divided by f?
8
Let f(q) = -3*q + 4. Let d be f(0). Suppose -p - 10 = 2*m - 5*m, -4 = d*p. Calculate the remainder when ((-3)/(-2) - 0)*4 is divided by m.
0
Suppose 0 = -4*a + 55 + 1. Let q be 1/(-2)*10 + 26 - -4. Let d = q - a. What is the remainder when 30 is divided by d?
8
Let a(d) = 11*d**2 - 25. What is the remainder when a(5) is divided by 86?
78
Suppose -82 = 3*q - 163. Calculate the remainder when 53 is divided by q.
26
Let p(z) = z + 12. Suppose -3*s = -4*w, -2*s + 3*w = -0*s. Suppose 0 = -5*g - 3*l + 124, -2*g + 5*l + 58 = 9*l. What is the remainder when g is divided by p(s)?
11
Suppose 0 = 3*v - 13 + 4, -5*v = -5*n - 50. Let d be (n/(-1 + 2))/(-1). Let x = 22 - d. What is the remainder when x is divided by 6?
3
What is the remainder when (10 + (68 - -6))*6/9 is divided by 20?
16
Let d be (3/(-6))/((-3)/(-6)). What is the remainder when (-3 - 1) + 99 + (2 - d) is divided by 17?
13
Let p = 7 - 3. Suppose -p*u + 3*q + 2*q = 12, -2*u - 4 = -2*q. Calculate the remainder when u is divided by 1.
0
Suppose 8*o + 0*o - 16 = 0. Suppose 0 = -o*a + 2*t + 60 - 16, 5*t = -4*a + 106. Calculate the remainder when 43 is divided by a.
19
Let d = -23 + 22. What is the remainder when 59 is divided by ((-3)/d)/((-3)/(-21))?
17
Suppose -4*f - l = -5*l - 104, l = 2*f - 56. Calculate the remainder when 70 is divided by f.
10
Let k(q) = q**2 + 6*q - 9. Calculate the remainder when k(-10) is divided by 15.
1
Suppose o - 4 + 1 = 0. Suppose 8 - o = t. Let u = t - -3. What is the remainder when 15 is divided by u?
7
Let s = -203 + 235. Suppose s*o - 867 = 15*o. Suppose y + 0*y = 26. What is the remainder when o is divided by y?
25
Let r be 7824/13 - 14/(-91). Let k be 22/33 - r/(-6). Suppose 3*c - 88 = k. Calculate the remainder when c is divided by 13.
11
Suppose 0*y - 12 = -2*y. Suppose -5*m - 4*r = -244, y*m - 145 = 3*m - r. Let u(x) = -16*x + 513. Calculate the remainder when m is divided by u(31).
14
Let s(h) = -h**2 + 4*h - 1. Let y be s(-3). Let c = y - -29. What is the remainder when 12 is divided by c?
5
Let b = 1579 + -1487. Calculate the remainder when 166 is divided by b.
74
Suppose 0 = 45*y - 37*y - 2232. What is the remainder when y is divided by 56?
55
Let y = 315 + -306. What is the remainder when 69 is divided by y?
6
Let h be 38*((5 - 4) + 0). Suppose -5*z = -4*f - 1 - 57, -4*f = -3*z + h. Calculate the remainder when 16 is divided by z.
6
Let w = 313 - -315. What is the remainder when w is divided by 7?
5
What is the remainder when 136 is divided by (91/14)/((-4)/(-8))?
6
Suppose 2*g - 50 = -2*r, g - 6*g - 3*r = -125. What is the remainder when 1/(-2) - (15225/14)/(-15) is divided by g?
22
What is the remainder when 30*(3/6)/((-13)/(-117)) is divided by 6?
3
What is the remainder when (-242)/(-18) + 196/(-441) is divided by 4?
1
Suppose -5*a - 329 + 719 = 0. Calculate the remainder when a is divided by 6.
0
Suppose -d + 151 + 130 = 2*h, 701 = 5*h + 4*d. Calculate the remainder when h is divided by 16.
13
Let b = -44 + 103. Suppose -2*y = 3*m - 24 - 4, 5*y - 5 = -m. Calculate the remainder when b is divided by m.
9
Suppose -1535 = -7*m + 47. Let u = -129 + m. What is the remainder when u is divided by 25?
22
What is the remainder when 35 is divided by 28/(-98) + 90/21?
3
Calculate the remainder when 238 is divided by -12*(-42)/8 + (1 - -1).
43
Suppose -155*u + 44*u = -8214. Calculate the remainder when 360 is divided by u.
64
Let p = 209 + -185. Calculate the remainder when 40 is divided by p.
16
Let c(v) = 7*v - 1. Let g be c(-7). Let i be (g/40)/(1/(-20)). Suppose 0*b = b - i. What is the remainder when b is divided by 7?
4
Let x = -877 - -911. What is the remainder when 44 is divided by x?
10
Suppose -5*s - 110 + 1083 = 3*n, -5*s = n - 971. Calculate the remainder when s is divided by 51.
41
Suppose 746 = -6*h + 848. Calculate the remainder when (-715)/(-15) - 1/(-3) is divided by h.
14
Let y = 95 + -80. What is the remainder when 163 is divided by y?
13
Suppose 0 = s + 3*d - 2*d - 11, -46 = -4*s - 3*d. Calculate the remainder when (28 - (-4 - 1)) + 4 is divided by s.
11
Suppose a - 44 = -3*a. Suppose -5*i + 0*i = -100. Calculate the remainder when a is divided by (16/(-6))/(i/(-30)).
3
Suppose 7 = 2*j + 1, 3*o = 5*j. What is the remainder when 23 is divided by o?
3
Suppose r + d = 70, -4*r + 19*d - 16*d + 294 = 0. Calculate the remainder when r is divided by 26.
20
Let h(k) = -20*k + 56. What is the remainder when 1157 is divided by h(-3)?
113
Suppose 2*u - 4*u = -78. Let a(n) = n**3 - 9*n**2 + 2*n + 46. Let t be a(8). Calculate the remainder when u is divided by ((-14)/42)/(t/84).
11
Suppose 287*f = 296*f - 180. What is the remainder when 53 is divided by f?
13
Let y be 6/42 + 1047/21. Suppose c - 3*k = y, 8*c - 3*k - 173 = 4*c. What is the remainder when c is divided by 6?
5
Suppose 4*t - 2 = 3*t. Suppose 3*h = t*x + 33, 2 + 37 = 3*h - 4*x. What is the remainder when 12 is divided by h?
3
Suppose 126*d = 121*d + 225. Calculate the remainder when d is divided by 6.
3
Let r be 7 - (-2 + 6/2). Suppose 5*l - 122 = -2*w, r*w - 332 = w + l. Let q = w - 30. Calculate the remainder when q is divided by 10.
6
Suppose 4*a - 196 = -4*r, 0 = -5*a + 400*r - 399*r + 269. What is the remainder when a is divided by (2 - -28) + -2 - 1?
26
Let j = -14 + 34. Let c = -15 - -23. Calculate the remainder when j/70 + 430/14 is divided by c.
7
Suppose g = -1, 2*g = -5*x - 0*g - 277. What is the remainder when 30/(-20) + 2/(-4) - x is divided by 10?
3
Suppose -59*t + 4*s + 28 = -57*t, s = -3*t + 49. What is the remainder when t is divided by 7?
2
Let w(k) be the third derivative of k**5/30 + k**4/12 - 3*k**3/2 + 10*k**2. Calculate the remainder when w(3) is divided by 4.
3
Suppose 0 = -4*z - k - 338 + 2009, 4*k = -z + 414. Suppose 0 = 11*o - z + 44. Calculate the remainder when o is divided by 14.
6
Let v = -14 + 16. Suppose -3*c - 53 = -v*k, -5*k = 2*c - 106 - 55. Let s(d) = d**2 + 3*d + 5. Calculate the remainder when k is divided by s(-4).
4
Let g(t) = -2*t - 5. Let b(u) = -113*u**2 - u. Let r be b(1). Let h = r + 164. What is the remainder when h is divided by g(-9)?
11
Let u = 167 + -118. Let f be 6/(-4)*222/9. Let o = -12 - f. What is the remainder when u is divided by o?
24
Let w = 33 + -15. Calculate the remainder when 56 is divided by w.
2
Let y be (-1)/(45/(-21) + 2). Let z = y - 5. Suppose 0 = z*r - r - 16. What is the remainder when r is divided by 10?
6
Suppose 2*m - 146 = -2*d - 38, 0 = 3*d - m - 166. Calculate the remainder when 1319 is divided by d.
54
Let l(g) = -2*g - 11. Let w be l(-7). Suppose -2*x + 34 = w*p, p - 61 = -3*x - p. Calculate the remainder when x is divided by 13.
10
Let d = 16 - 12. Suppose -4*l = 2*u + d, 4*l + 4 = 2*l. Suppose -3*b = -2*g + 21, 4*g - 5*b - 27 = -2*b. Calculate the remainder when g is divided by u.
1
Let f be (-1 + -379)*(-12)/30. Suppose -2*s + s + f = 0. Let y = s + -89. What is the remainder when y is divided by 11?
8
What is the remainder when 47 is divided by 2*(18/8 + (-45)/60)?
2
Suppose -19*k = -10*k - 2934. What is the remainder when k is divided by 47?
44
Let y be 4/10 - 36/(-10). Suppose r = y*r - 54. Suppose -q = -b + 6, -2*b - b + 6 = 3*q. Calculate the remainder when r is divided by b.
2
Let x(l) = -7*l + 24. Calculate the remainder when 175 is divided by x(-1).
20
Suppose 3*i = 5*i - 58. Suppose -2*l = 2*l - 8, -5*v = -3*l - 79. Let x = i - v