7*u - 5. Let z be n(v). Calculate the remainder when 8 is divided by 10*((-60)/z - -3).
2
Suppose 5*y = q + 3, 0 = 4*q + 4*y - y - 34. Let n be (-2 - -5)*(-26)/(-6). Let s = 20 - n. What is the remainder when s is divided by q?
0
Let b(q) = q**3 + 4*q**2 - 7*q - 6. Let f = -67 - -75. Suppose f*j - 4*j = 48. What is the remainder when b(-4) is divided by j?
10
Suppose 2*k = 79 + 35. Let u = -159 - -541. Suppose -162 = -34*f + u. Calculate the remainder when k is divided by f.
9
Suppose -33*t + 42*t - 1323 = 0. Let d = 714 + -670. What is the remainder when t is divided by d?
15
Suppose -25*k + 17*k = -106*k + 2352. What is the remainder when 2356 is divided by k?
4
Let c = 31 - 2. Suppose -4*s = -5*h, -h = -0*s + 5*s + c. Calculate the remainder when (-26)/3*6/h is divided by 4.
1
Let x(c) be the second derivative of -c**4/12 + c**3/2 + 75*c**2 + 4*c + 4. Calculate the remainder when 139 is divided by x(13).
19
Let j = -23 + 51. Suppose 4*h + 17 - 113 = 0. Suppose 12*x - h = 96. Calculate the remainder when j is divided by x.
8
Let x be (-2946)/11 - 30/165. Let w = 311 + x. Calculate the remainder when 100 is divided by w.
14
Suppose -192*w + 191*w = -5*z - 11678, 4*w + z - 46586 = 0. Calculate the remainder when w is divided by 6.
2
Calculate the remainder when 1*-8 + 8732/59 is divided by 17.
4
Let i(z) = 26*z. Suppose 7050 = -3*g - 2*h, -9*g + 2*h - 7062 = -6*g. What is the remainder when i(3) is divided by g/(-108) + 6/27?
12
Let c be 9 - (1 - -8)/3. Suppose k = 4*k - c. Suppose 3*m - 14 = k*m. What is the remainder when 40 is divided by m?
12
Suppose -2*t - 5 = 3, 4*t = 5*b - 126. Let f be 1235/38 - 2/4. Let k = f + -27. What is the remainder when b is divided by k?
2
Let q(g) = -g**2 + 25*g - 137. Let t = 439 + -425. What is the remainder when q(t) is divided by (-82)/(-14) - 2/(-14)?
5
Let t(a) = 38*a - 1194. What is the remainder when 718 is divided by t(32)?
14
Let v = -44 - -63. What is the remainder when 3/(-6)*3240/50*(-110)/4 is divided by v?
17
Let r(k) = 19*k**3 - 3*k**2 + k. Calculate the remainder when r(2) is divided by -12*(4 + -6)*(-6)/(-9).
14
Suppose 5*z - 2*v = -11 + 54, -3*z + 4*v = -37. Let c be ((-4)/(-3))/((-10)/15) + z. Suppose -16 = -w - c. What is the remainder when 13 is divided by w?
2
Suppose 7 = -f + w + 133, 24 = 4*w. Calculate the remainder when 1563 is divided by f.
111
Let l = 9077 - 8762. What is the remainder when 945 is divided by l?
0
Suppose 3 = -3*a + 15, 5*i - 234 = -a. Let x(t) = 10*t - 6*t - t - 45 + 11*t. Calculate the remainder when i is divided by x(5).
21
Suppose -4*u - 12 + 16 = 4*y, -4*y - 3*u + 1 = 0. Calculate the remainder when 105 is divided by 2662/165 - y/(-15).
9
Let h = -19 + 19. Let o be (-2)/(h - (-5)/5). What is the remainder when 48 is divided by (30/(-4) - 1)*o?
14
Let w(y) = 95*y - 148. Calculate the remainder when 1347 is divided by w(4).
187
Let u(m) = m + 90. Let v be u(-5). Let d = v - 64. Suppose -r - 300 = -6*r. What is the remainder when r is divided by d?
18
Let f = 28735 + -28640. Calculate the remainder when 8547 is divided by f.
92
Suppose -113*j + 118*j = 35. Let p(r) = -5*r - 52. Let o be p(j). Let n = o + 104. What is the remainder when n is divided by 3?
2
Suppose -5*d = 5*z - 285, -7 = -2*d + 3. Let h = -35 + z. Suppose -4*n + 86 = 2*j, -5*j - 71*n + 74*n + 241 = 0. What is the remainder when j is divided by h?
13
Let r be ((-170)/2)/(((-15)/45)/(-1)). What is the remainder when 46 is divided by (-5)/15*r/5?
12
Let i = 51 - 84. Let t be ((-341)/i)/((-2)/(-6)). Suppose 9*r - t = 77. What is the remainder when 46 is divided by r?
10
Let m = 0 + 10. Suppose 8 = -a + 3*a, -4*n - 3*a = -44. Calculate the remainder when (44/m)/((-3)/(-15)) is divided by n.
6
Suppose 1190717 + 1262656 = 608*i - 2005091. What is the remainder when i is divided by 29?
25
Suppose 2*b + 2*n - 21 = n, 28 = b - 3*n. Suppose 493 = b*k + 4*k. What is the remainder when 140 is divided by k?
24
Let h be (2895/(-4))/5 + 11/(-44). Let g = 259 + h. Calculate the remainder when g is divided by 11.
4
Suppose 2832 = -20*o - 948. Let q = o + 213. What is the remainder when 84 is divided by q?
12
Suppose 4*h - 2*y - 191 = -3*y, -y + 47 = h. Let o = h + -28. Suppose 5*l = l + o. Calculate the remainder when l is divided by 2.
1
Suppose k - 6812 = -2*m, -5*k = 44*m - 43*m - 34087. Calculate the remainder when k is divided by 110.
108
Let b(g) = -384*g + 15000. Let k = 265 + -174. What is the remainder when k is divided by b(39)?
19
Let u(a) = a**3 + 5*a**2 - 9*a - 14. Let v be u(-6). Let r be (v + (-26)/4)*-62. What is the remainder when r/(-20)*(-12 + 0) is divided by 24?
21
Suppose -8*n + 36 = -2*n. Let a(t) = 5 + n + 0 + 2*t + 7. What is the remainder when 4 is divided by a(-8)?
0
Suppose -5273 - 319 = -85*q + 528. Calculate the remainder when 101 is divided by q.
29
Suppose -107*o = -430339 + 161341. Calculate the remainder when o is divided by 8.
2
Suppose -22*f + 15*f = -5*g + 219, 3*g + 5*f = 67. What is the remainder when ((-546)/12)/((-2)/4) is divided by g?
23
Let q(z) = -z**2 + 15. Let l be q(7). Let d = l - -38. Suppose -19*x + 34 = -17*x + a, -32 = -2*x - 2*a. Calculate the remainder when x is divided by d.
2
Let f(p) = 43*p + 40*p + 26 - 76*p - 11 + p**2. Suppose -3*y + 4*y + 10 = 0. What is the remainder when f(y) is divided by 12?
9
Suppose 7 = 2*h + 1. Let k = -198 - -268. Suppose 4*w = k + 2. What is the remainder when w is divided by h?
0
Suppose 376*m + 231 = 383*m. Suppose 0 = -q + 32*d - 34*d + m, 4*d = 3*q - 129. What is the remainder when q is divided by 33?
6
Suppose 0 = -7*p + 443 + 3351. Let w = 562 - p. What is the remainder when 50 is divided by w?
10
Suppose 421*h - 423*h = -156. Suppose -62*b - h = -65*b. Calculate the remainder when 47 is divided by b.
21
Let v = -77 + 114. Let a = -305 + 449. What is the remainder when a is divided by v?
33
Calculate the remainder when (-8044)/(-40) - (-42)/(-420) is divided by 60.
21
Let h = 67 + -42. Suppose 7*k = 24*k - 1037. Suppose 2*m = -4*g + 14, 0*g - k = -4*m + 3*g. Calculate the remainder when h is divided by m.
12
Suppose 0 = -2*z - m - 0*m + 492, -5*z - 3*m = -1231. What is the remainder when z is divided by 25?
20
Let q = 11 + -6. Suppose 0 = p - 2*k + 15, q*p - 7*k + 75 = -3*k. What is the remainder when (-618)/(-9) + (-5)/p is divided by 18?
15
Suppose -2*l - f + 1138 = -4*f, -1694 = -3*l - 2*f. Calculate the remainder when 2/20*l - 14/(-35) is divided by 20.
17
Suppose 5*g + 9*z - 10*z - 200 = 0, -g + 40 = -z. What is the remainder when (-3)/((0 - -2)/(-78)) is divided by g?
37
Let s(x) = x**2 - 6*x + 71. Calculate the remainder when 338 is divided by s(6).
54
Suppose 4*q + 14*b - 11*b = 78450, 19578 = q - 5*b. What is the remainder when q is divided by 53?
51
Suppose 3*a + 5*w - 1108 = 0, a - 4*w - 365 = -24. Calculate the remainder when a is divided by 25.
11
Let n(f) be the first derivative of -f**4/4 + 17*f**3/3 - 13*f**2 - 7*f + 71. Calculate the remainder when n(15) is divided by 21.
11
Calculate the remainder when (-6 - -3)*-151 + 25 is divided by 140.
58
Suppose -94 = -3*j - 16. Suppose 2*y = 3*n + y + 35, 5*n - y + 57 = 0. Let v = 3 - n. What is the remainder when j is divided by v?
12
Let a(n) = n**3 - n**2 - 9*n + 16. Let r be a(2). Let g(u) = 60*u - 75. What is the remainder when 135 is divided by g(r)?
0
Let z = 3121 - 2997. What is the remainder when 491 is divided by z?
119
Let j be 5 + 2/(-2) + -3. Suppose 5 = l + j, 3*m + 5*l = -7. Calculate the remainder when (27/6)/m - (-127)/2 is divided by 25.
13
Suppose 84*s = 14*s + 31220. Calculate the remainder when s is divided by 3 - (-1)/((-2)/(-122)).
62
Let i(o) = -2*o**2 - 17*o - 170. Let c be i(-9). Let x = 566 + c. Calculate the remainder when x is divided by 98.
93
Suppose -1100 = 1277*s - 1299*s. Calculate the remainder when 242 is divided by s.
42
Suppose -35*v = -26*v - 423. Suppose -v + 85 = 2*h. Calculate the remainder when 33 is divided by h.
14
Let g(h) = h**2 + 2*h - 14. Let d be g(-5). What is the remainder when (1 - -32*2) + d + 0 is divided by (-6)/(-6) + 33*(-2)/(-2)?
32
Suppose -19*n - 11717 + 37987 = -36639. Calculate the remainder when n is divided by 44.
11
Let n(g) = -g**3 + 10*g**2 + 2*g - 11. Let r(m) = 11*m - 1. Let u be r(1). Let w 