culate the remainder when (-24)/(-156) + 21978/117 is divided by 19.
17
Let w(r) = -6*r + 62. Let g be w(10). Suppose -4*b - g*q + 0*q + 102 = 0, 4*b = 5*q + 123. What is the remainder when 99 is divided by b?
18
Let x be (18/8)/((-8)/(-96)). Suppose 3*m = 4*d - 3 + 1, 5*m + d + 11 = 0. Let k = x - m. Calculate the remainder when k is divided by 16.
13
Suppose k - 19 = -3*v, 4*k - 17 = k - v. Suppose 3*x = 2*n - 96 - 92, 394 = k*n + 3*x. What is the remainder when n is divided by 33?
31
Let x(l) = -7*l - 89. Let p be x(-28). Let q = -75 + p. Calculate the remainder when q is divided by 9.
5
Suppose -m + 36 = 2*m. What is the remainder when 119 is divided by m?
11
Let t = -13 + 17. Calculate the remainder when 116 is divided by 32 - (-6)/3 - t.
26
Suppose 5*a + 25 = -0*a. Let q = -15 - a. What is the remainder when 17*q*(-5)/10 is divided by 22?
19
Let o be 0*(3/(-2) - -2). Suppose o = -10*f + f + 63. Calculate the remainder when 17 is divided by f.
3
Calculate the remainder when 11/(2 - 945/477) is divided by 31.
25
Suppose -43 = -2*w + 41. What is the remainder when 121 is divided by w?
37
Let s(z) = z**3 + 3*z**2 - 6*z - 3. Let t be s(-4). Let c = t + 29. What is the remainder when c is divided by 12?
10
Let u(q) = -3*q**3 - 11*q**2 + 3*q + 3. What is the remainder when u(-5) is divided by 30?
28
Calculate the remainder when (3 - 45/12)/((-16)/3392) is divided by 18.
15
Suppose -2*l + 63 = -w, 5*l + 5*w = 78 + 102. Calculate the remainder when 1352 is divided by l.
32
Suppose 5*w - 97 = -232. Let m = -8 - w. Calculate the remainder when m is divided by 7.
5
Let y = -1037 + 1246. Calculate the remainder when y is divided by 97.
15
Suppose 4*l + 11 = 5*w, 4*w - l = l + 10. Suppose -w*b + 4 = -44. What is the remainder when 77 is divided by b?
13
Suppose -8*f - 3*f + 77 = 0. Let h(x) = -2*x + 20. Calculate the remainder when ((-14)/(-4))/(2/12) is divided by h(f).
3
Let i(b) = 4*b - 19. Suppose 6*n - 23 = 13. What is the remainder when 13 is divided by i(n)?
3
Calculate the remainder when 123 is divided by (4*4 + -1)/(16/48).
33
Let l = 20 - 3. What is the remainder when 23 is divided by l?
6
Suppose -3*a + 202 = 88. What is the remainder when 529 is divided by a?
35
Suppose -16 = -b - 4*l, -8 - 30 = -2*b - 2*l. Calculate the remainder when 51 is divided by b.
11
Let v = 182 - 176. What is the remainder when 87 is divided by v?
3
Suppose 0*n + 637 = 3*n + 2*h, -5*n + 3*h = -1068. Calculate the remainder when n is divided by 46.
29
Let z = 132 + -76. Let y = z + -36. What is the remainder when 39 is divided by y?
19
Suppose -o - 4 = 0, -2*j + 6*j + 5*o = 44. Let z be ((-21)/(-12))/(4/j). Suppose -z*d = -12*d + 90. What is the remainder when d is divided by 4?
2
Let t(c) = -c**2 + 9*c + 10. Suppose a - 15 = 6*a. What is the remainder when (47/a)/((-7)/42) is divided by t(7)?
22
Let h = -224 - -452. Suppose 115 = z - h. Calculate the remainder when z/(-7)*(-2 + 1) is divided by 26.
23
Let q = -1252 + 1266. Calculate the remainder when 195 is divided by q.
13
Let g(p) = -p**3 - 10*p**2 + p + 13. Let c be g(-10). Suppose c*o - 66 = 18. What is the remainder when 139 is divided by o?
27
Suppose 0 = -16*d + 77 + 131. Suppose 3*x - 2 = 5*h + 5, -4*h + x = 0. Calculate the remainder when (-10)/8*(-20)/h is divided by d.
12
Let m = 7 - 4. Suppose 2*w = w + 5. Let z(s) = 2*s - 7. What is the remainder when z(w) is divided by m?
0
Suppose -2*y + 5*z = -40, -5*y + 62 + 57 = -3*z. Calculate the remainder when 174 is divided by y.
24
Let k be (-23)/(-7) - (-8)/(-28). Suppose 0 = -5*v + k*v + 16. Calculate the remainder when (34/4 + 2)*(-12)/(-6) is divided by v.
5
Let q(z) = 2*z**2 - z - 2. Let p be q(2). Let l be 8/(-52) + 67/13. Suppose l*g + 15 = 5*s, 0*g - 10 = -p*s + 3*g. What is the remainder when s is divided by 1?
0
Let f = -89 + 156. Suppose 10*q - 11*q = -31. Let d = f - q. Calculate the remainder when d is divided by 13.
10
Suppose 51 = 2*f - 2*q - 9, -8 = 2*q. Calculate the remainder when 4*((1 - -43) + -12) is divided by f.
24
Suppose 5*y + k = 280, -2*y - k + 115 = -0*k. Let l(m) = 3*m**3 - m**2 - 3*m + 1. What is the remainder when y is divided by l(2)?
10
Calculate the remainder when 187 is divided by 2*((-21)/9)/((-2)/3).
5
Calculate the remainder when 99 is divided by (-4)/12*(-127 + -2).
13
Suppose -29*y + 596 = -1985. Let w = 7 - -18. What is the remainder when y is divided by w?
14
Let y be (-3)/6 + 46/4. Suppose 14*p - 66 = y*p. What is the remainder when p is divided by 8?
6
Let w(o) = o**2 - 6*o + 3. Let a be w(7). What is the remainder when (-4)/(-1)*315/a is divided by 43?
40
Let k = 14 + -10. Suppose 4*l = -4*n + 7 + 13, k*n + 10 = l. Let m = -60 - -63. Calculate the remainder when l is divided by m.
0
Let n = -12 + 28. Let u = -244 - -275. Calculate the remainder when u is divided by n.
15
Suppose -1 = -q + 1. Suppose 2*r - q = 0, 3*g - 3*r = 4*g. Let u(k) = -2*k**3 - 2*k**2 + 2*k. What is the remainder when u(g) is divided by 11?
8
Suppose 5*r - 131 = -4*i, -2*i - i = 4*r - 97. What is the remainder when 192 is divided by i?
36
Suppose 0 = -2*o - 5*g + 122, g + 89 = o + 21. Suppose 10 = 5*c, 3*c = 3*s + o - 15. What is the remainder when 24 is divided by (4/2 + s)*-1?
11
Let g(n) = -3*n**2 + 33*n - 14. What is the remainder when g(8) is divided by 20?
18
What is the remainder when 62/(-5*(-6)/30) is divided by (2/(-6))/(1/(-48))?
14
Let p(o) = o**3 + o**2 - 8*o - 15. What is the remainder when 131 is divided by p(4)?
32
Suppose 121 + 23 = -6*r. Calculate the remainder when (r - (-2 - 0))/(-1) is divided by 13.
9
Let l(r) = r**2 + 3. Suppose 60 = -0*m + 6*m. What is the remainder when m is divided by l(2)?
3
Let n(o) = 3*o + 41. Let p = 1 - -1. What is the remainder when 1*-1*p - -52 is divided by n(-8)?
16
Suppose -17*k = -7*k - 210. Let f be 3 + -1 + -15 + 5. Let x = f + k. Calculate the remainder when x is divided by 5.
3
Suppose -2983 = -8*a - 159. Calculate the remainder when a is divided by 59.
58
Suppose 0 = u - 1. Let g(c) = -9*c**2 + 5*c - u - 6*c + 0*c**3 - c**3. What is the remainder when 30 is divided by g(-9)?
6
Let k be (-3)/(4 + 41/(-10)). Suppose -k = -2*q + 4*t - 8, -q = -t - 7. What is the remainder when 4 is divided by q?
1
Suppose 6*m + 4*m + 480 = 0. What is the remainder when (-26 + -4)*m/15 is divided by 33?
30
Let q = -10 + 10. Suppose -10*d + 9*d + 11 = q. Suppose 2*l = 12 + 26. Calculate the remainder when l is divided by d.
8
What is the remainder when 537 is divided by -6 - (80/(-10) - 3)?
2
Let c = -126 + 14. Let h = c - -218. Suppose 4*g - h = 3*s, -g + 0*g + 5*s = -18. What is the remainder when 54 is divided by g?
26
Let s(c) be the third derivative of -c**4/24 - 5*c**3/6 + 12*c**2. Let a be s(-11). Suppose 43 = a*w - 5. What is the remainder when 21 is divided by w?
5
Let w be -10*((-1)/(-35) - 6/14). Suppose w*p - 51 = -27. Calculate the remainder when 15 is divided by p.
3
Calculate the remainder when 7626/155*(1 - 6/(-4)) is divided by 11.
2
Let l = -63 - -125. Suppose -8*v = -l - 50. Calculate the remainder when 53 is divided by v.
11
Let n be 34/289 - (-38)/(-34). Let x = 6 - -1. Calculate the remainder when (0 - n)*(-2 + 13) is divided by x.
4
Suppose -7*q + 2*q + 195 = -5*z, -z = -3*q + 119. Let h(a) = a**3 + 11*a**2 + 2*a - 21. Calculate the remainder when h(-5) is divided by q.
39
Let o be 4/10 + 234/65. Suppose 0 = o*u - 5 + 1. Let w = u - -6. What is the remainder when 20 is divided by w?
6
Let m(x) = -x - 5 + 12 + 16 - 4. Suppose -2*p + g + 21 = 0, 4*g - 4 = -24. Calculate the remainder when 41 is divided by m(p).
8
Suppose -3*m - 7 + 2 = -4*x, -2*x = -3*m - 7. Let h be (-4)/(-10) + 16/10. Calculate the remainder when m*(h + 94/(-6)) is divided by 11.
8
Suppose 2*j = 5*j - 669. Let w be (12/(-6))/((-4)/30). What is the remainder when 28 is divided by j/w - (-12)/90?
13
Let d(k) = -k**3 + 10*k**2 - 17*k + 7. Let b = 23 - 16. Calculate the remainder when 103 is divided by d(b).
33
Let s(a) = 6 + 2*a**2 - a**2 - 8*a - 2*a**2. What is the remainder when 33 is divided by s(-6)?
15
Suppose -d + 6 = 1. Suppose 225 = -5*u - 0*u - 5*q, d*u + 190 = 2*q. What is the remainder when 59 is divided by (-15)/5*u/6?
19
Let g be 4/7*(-49)/(-7). Let k be 5 + 2*(g - 5). What is the remainder when 17 is