 -24. Calculate the remainder when (-90)/(-8) - (-3)/s is divided by n.
2
Suppose -16 = -4*g - 8. Suppose 43 = g*r - 59. What is the remainder when r is divided by (-2 - -1)*(-26)/2?
12
Let d = -144 + 160. What is the remainder when 141 is divided by d?
13
Suppose 3*q - 28 = -5*d + 67, 91 = 6*d - q. Let x be (-1)/(-3) + 68/(-6). Let s = 52 - x. What is the remainder when s is divided by d?
15
Let g = -263 - -296. Calculate the remainder when 37 is divided by g.
4
Calculate the remainder when 49 is divided by (-9)/12 + -1 + 222/8.
23
Let x(t) = 20*t + 47. Let c be x(7). Suppose -321 = -4*a + c. Calculate the remainder when a is divided by 32.
31
Let d = 1021 + -1011. Suppose 58 = 2*p - 2*t, p = -0*t + 3*t + 31. Calculate the remainder when p is divided by d.
8
Suppose -32 = -4*x + 4*k, -8*k + 7*k + 1 = 0. Calculate the remainder when 61 is divided by x.
7
What is the remainder when 136 + (-8)/(-18) + 82/18 is divided by 58?
25
Suppose -3*n = 2*l - 64, 0*n - 4*l = 3*n - 62. Let z = -23 - -87. What is the remainder when z is divided by n?
20
Suppose 0 = i + 3*i - 8. Let z(j) = -7*j**3 - 3*j**2 + 3*j - 3. Let x be z(i). Let f = x - -119. Calculate the remainder when f is divided by 14.
12
Suppose -118 = -5*q - 3*w + 367, -388 = -4*q + 5*w. Let o = 946 - 926. Calculate the remainder when q is divided by o.
17
Let m = 703 - 504. Calculate the remainder when m is divided by 8.
7
Suppose 0 = -24*d + 19*d + 300. Let v be d/8*-4 + 0. What is the remainder when 37 is divided by (-101)/(-5) + 6/v?
17
Let p(r) = -4*r + 45. Suppose 5*k - 6 = 3*a + 8, -2*a - 5*k - 51 = 0. Let w(d) = 25*d**2. Calculate the remainder when p(a) is divided by w(-1).
22
Suppose 10 = 2*a - 2*s, 5*a + 3*s = s + 11. What is the remainder when 55 is divided by (-4 + -53)/a*-1?
17
Let b(u) = -15*u + 705. Calculate the remainder when b(30) is divided by 120.
15
Let z(w) = -81*w**3 - 2*w**2 - w - 2. Calculate the remainder when 227 is divided by z(-1).
71
What is the remainder when (-7279)/(-174) + 2/12 is divided by 22?
20
Suppose 24*x = -19*x + 1376. Calculate the remainder when 80 is divided by x.
16
Suppose f - 4*f + 33 = 0. Suppose 4197*p + 123 = 4200*p. Calculate the remainder when p is divided by f.
8
Let p(z) = 4*z**2 + 3*z - 5. Let m(a) = -22*a**2 + 23*a**2 + 3 - 4. Let j be m(2). What is the remainder when p(j) is divided by 14?
12
Suppose c + 3*c - 44 = 0. Let s = c + 47. Suppose 51 = 5*l - j - 21, 0 = 2*l - 4*j - 18. Calculate the remainder when s is divided by l.
13
Let q = -92 + 134. Let h(r) = -8*r + 1. Let u be h(-7). Suppose 2*d = 5*d + 5*c - 38, u = 5*d + 2*c. What is the remainder when q is divided by d?
9
Suppose 0 = 3*a - 358 + 25. What is the remainder when a is divided by 8?
7
Let l = 344 + -222. Let f = -113 + l. Suppose 0 = 4*d - 3 - 21. What is the remainder when f is divided by d?
3
Let n(v) = 2*v**3 - 7*v**2 + 8*v - 8. Calculate the remainder when 129 is divided by n(4).
9
Let w = -2 - -2. Suppose w = j - 3*j + 22. Calculate the remainder when 45 + 1*(-3 + (3 - 2)) is divided by j.
10
Suppose 6*r = -12*r + 4032. Calculate the remainder when r is divided by 25.
24
Suppose -6*y + 7 = -29. Let w(t) = -t**3 + 6*t**2 + 8. Let n be w(y). Suppose j + 28 = n*j. Calculate the remainder when j is divided by 4.
0
What is the remainder when 34 is divided by -3 - (3 - 1)*(-56)/7?
8
Let w = -1402 - -1693. Calculate the remainder when w is divided by 31.
12
Suppose 250 = 5*f + 5*w, w + 31 = f - 29. Let s = 18 + -3. Let t(u) = 2*u - 1. What is the remainder when f is divided by t(s)?
26
Let x(p) = 142*p**2 - 19*p + 5. Calculate the remainder when x(1) is divided by 40.
8
Let v be (-32 - -18)*4/(-14). Let x(b) = 16*b - 2. What is the remainder when x(v) is divided by 13?
10
Let i(t) = -t**3 - 4*t**2 + 6*t + 1. Let n be i(-5). Let v = n - -6. What is the remainder when 2 is divided by v?
0
Suppose -86 = -5*c - p - 1, -5*p + 25 = 0. Calculate the remainder when 367 is divided by c.
15
Calculate the remainder when 120 is divided by (2 - 6)/(((-16)/(-84))/(-1)).
15
Suppose 1010 + 1938 = 44*k. What is the remainder when k is divided by 18?
13
Suppose 52*u + 265 = 57*u. What is the remainder when u is divided by 7?
4
Suppose 4*n = -3*v + 2*n - 2, 4*v + 12 = 2*n. Calculate the remainder when 112 is divided by (14 - v)*1 - (-2 + -1).
17
Let k(y) = y**3 + 4*y**2 - 1. Calculate the remainder when ((-3)/1)/(201/(-2278)) is divided by k(-2).
6
Let q(z) = 81*z - 80. What is the remainder when q(6) is divided by 68?
66
Let o = -122 + 118. Let n(t) = -46*t + 9. Calculate the remainder when n(o) is divided by 28.
25
Let y(k) = 14*k**2 + 2*k - 2. Let n be y(1). Let q = n + 9. What is the remainder when q is divided by 4?
3
Let m = 131 - 113. What is the remainder when m is divided by 1?
0
Let u(c) = c + 13. Let l = -27 - -19. Let k be u(l). Suppose 5*m + 7*f = 4*f + 42, k*m - 4*f - 49 = 0. Calculate the remainder when 24 is divided by m.
6
Let w = -2 + 6. Suppose 4*s + s - 130 = 0. Let b = s - 19. Calculate the remainder when b is divided by w.
3
Suppose -3*h = -2*h - 4. Suppose 0 = -7*c + 9*c - h. Calculate the remainder when 6 is divided by (-18)/(-12) - 1/c.
0
Suppose g + 5 - 2 = 0, g = -i + 16. What is the remainder when i is divided by (-90)/(-8) + 3/(-12)?
8
Let t be 0 + -4 + 6/3. Let s(k) = -3*k**2 - k - 2. Let d be s(t). What is the remainder when 33 is divided by 34/2 + d + 12?
16
Let x(h) = -h**2 - 57*h + 123. Calculate the remainder when 455 is divided by x(0).
86
Suppose -6*r + 9 = -3*r. Suppose -r*i = 12, i = -5*x - i + 217. Suppose 4*w - x = 3*c + 119, 0 = 5*w + 3*c - 205. What is the remainder when w is divided by 22?
19
Suppose -251*o = -255*o + 432. Calculate the remainder when o is divided by 8.
4
Suppose 0 = 3*p - 5*p + 162. Suppose -2*u = -4*u + 148. Suppose o = -5, -a = -4*a - 2*o + u. What is the remainder when p is divided by a?
25
Let o be 320/18 - 4/(-18). Let c = o + 11. Calculate the remainder when c is divided by 10.
9
Suppose 248 = 3*i - i - 4*b, -895 = -7*i + 5*b. Calculate the remainder when 909 is divided by i.
129
Suppose -3*s + 5 = 2*j - 22, -4*s = 3*j - 36. Suppose -s*f = -3*f - 36. Calculate the remainder when 16 is divided by f.
4
Let f be (-6)/12 + 21/6. Let x = 12 - f. Let q(r) = r**2 - 6*r + 8. What is the remainder when q(x) is divided by 9?
8
Let t(h) = 4*h + 209. What is the remainder when t(-32) is divided by 12?
9
Suppose -1 = -4*j - 13. What is the remainder when 32 is divided by (j + 120/25)*5?
5
Let o = -1 + 6. Suppose 11*s = 2*s + 36. What is the remainder when o is divided by s?
1
Suppose 4*v + 4*u + 48 = 5*v, -4*v + 206 = -2*u. Calculate the remainder when v is divided by 15.
7
Suppose 0 = 4*r - c - 210, -204 = -4*r + 2*c + 2*c. What is the remainder when r is divided by 18?
17
Let d = 641 - 97. Calculate the remainder when 13/((-195)/(-1764)) + 6/15 is divided by d/18 - 4/18.
28
Let f(h) = 2*h**2 + h + 1. Let w be 10/(-5)*(1 - 3). Let p be (-224)/126 + w/(-18). Calculate the remainder when 25 is divided by f(p).
4
Let z(v) be the third derivative of -v**4/24 + 7*v**3/6 + 9*v**2. Let c be z(8). Calculate the remainder when 105 is divided by (9/15)/(c/(-30)).
15
Let k(n) = 23*n - 69. Calculate the remainder when k(9) is divided by 13.
8
Let y(d) = -d**3 - 3*d**2 + 17*d + 15. What is the remainder when y(-6) is divided by 16?
5
Let j be 51/15 + (-4)/10. Let w(v) = 2*v**2 - 4*v. What is the remainder when ((12 + -13)*20)/(-1 - 1) is divided by w(j)?
4
Let s(r) = -r**2 + r + 1 - 3*r - 2*r + 0. Suppose 5 + 31 = 2*i. Calculate the remainder when i is divided by s(-3).
2
Let d(t) = 3*t**2 - 9*t + 15. Let q be d(9). Let c = q - 100. What is the remainder when c is divided by 10?
7
What is the remainder when (5 - 216/42) + (-400)/(-7) is divided by 15?
12
Let f = 0 + 13. Suppose 0 = 4*n - 192 + 16. Suppose 3*k - n = 2*k + 4*v, 5*v = 4*k - 231. What is the remainder when k is divided by f?
12
Suppose 5*y - 2*r - 78 = -r, -3*r + 86 = 5*y. Let c(x) = x**3 - 12*x**2 + 3*x - 9. Calculate the remainder when c(12) is divided by y.
11
Suppose -3*r + 58 + 8 = 0. Suppose -17*z = -r*z - 15. Calculate the remainder when z*6/(-9) - -25 is divided by 10.
7
Let d be 6/15*-1*-5. Suppose 0*u = d*i + 5*u + 130, -2*i - 3*u - 134 = 0. Calculate the remainder when 20