- -20. What is the remainder when z is divided by g?
9
Let z(n) = 6*n - 13. Suppose -2*k - 2 = 2*u, 4*u - 5*k - 17 = 15. Let h be z(u). Suppose -h*d + 10*d = 445. Calculate the remainder when d is divided by 13.
11
Let w(u) = 2*u**2 + 2*u + 3. Let c(k) = -109*k + 1127. What is the remainder when c(9) is divided by w(-3)?
11
Let o be 23 - (-2)/2 - -1. Suppose -13*h = 65 + 143. Let l = h + o. Calculate the remainder when l is divided by 4.
1
What is the remainder when 443 is divided by (-2)/(16/(-298)) + 3/(-12)?
36
Suppose -16*d + 15*d + 512 = 4*b, 615 = 5*b - 5*d. Calculate the remainder when b is divided by 68.
59
Suppose 6 = 11*m - 38. Suppose -3*r + 45 = -5*n, -m*r - 2*n + 24 = -r. Calculate the remainder when 19 is divided by r.
9
Let o(d) = -d + 0*d + 1 - 2 - 2. Let n be o(-6). Suppose 4*z + 3*m = z - 3, -n*z + 5*m = -21. What is the remainder when 2 is divided by z?
0
Let s = -171 - -180. What is the remainder when 368 is divided by s?
8
Suppose 21*c - 128 = -43*c. What is the remainder when 16 is divided by c?
0
What is the remainder when 65 is divided by 10 - (-4 + 6 + -3)?
10
Let d(i) = 4*i - 42. Calculate the remainder when d(16) is divided by 13.
9
Let v(k) be the third derivative of -k**4/3 - 2*k**3/3 - 2*k**2. Calculate the remainder when 86 is divided by v(-6).
42
Let c = -11 + 8. Let u be (-63)/(-6)*(-4)/c. What is the remainder when (u - (-2 - -1)) + -2 is divided by 8?
5
Suppose -3*l - 34 = -2*x - 140, 0 = 4*x + 8. Calculate the remainder when 184 is divided by l.
14
Suppose 35*q = 44*q - 396. Let g(r) = -r - 1. Let w(d) = d - 12. Let m(t) = -3*g(t) + w(t). Calculate the remainder when q is divided by m(8).
21
Suppose 9*m - 12*m - 3*w = -60, 2*w = 10. Let a = 85 - 43. Let j = a - m. Calculate the remainder when j is divided by 14.
13
Suppose 2*i = 6*i - 40. Suppose -f - 4*a = f + 270, 2*f + 274 = -3*a. Let x = f - -166. What is the remainder when x is divided by i?
3
Let g = -43 + 46. Suppose -654 = -q - 4*q + g*h, q + h = 134. Calculate the remainder when q is divided by 27.
24
Let f(t) = -t**3 + t + 4. Let m be f(0). Let a = 1 + m. Suppose a*l - 60 = -0*l. Calculate the remainder when 34 is divided by l.
10
Suppose 4*d = -10 + 78. Calculate the remainder when 1068 is divided by d.
14
Let w = -99 + 283. What is the remainder when w is divided by 61?
1
Let r(s) = s + 12. Let g be r(-9). Suppose -g*f - 2*f = -30. Suppose -9*c = -f*c - 84. What is the remainder when c is divided by 10?
8
Suppose 0*u - 2*h - 70 = 3*u, -5*h + 5 = 0. Let g = -6 - u. What is the remainder when 14 is divided by 68/g + (-12)/(-54)?
2
What is the remainder when 1*(-1 + 3) - 1167/(-3) is divided by 28?
27
Let s(j) = -59*j**3 + j**2 + 2*j + 1. What is the remainder when s(-1) is divided by 16?
11
Let m = -144 + 408. Calculate the remainder when m is divided by 30.
24
Suppose 5*m = 6*m - 12. Calculate the remainder when (194/(-6))/(-3 + 32/m) is divided by 9.
7
Let o(z) = -z + 6. Let i be o(4). Let s be (-16)/4 + (-1)/(3/(-18)). Suppose i*a = -s*a + 52. What is the remainder when a is divided by 5?
3
Let x(s) = 2*s - 5. Let l be x(5). Suppose -5*i - 31 = n, -n + l*i + 37 = -3*n. Let a = 14 - n. What is the remainder when a is divided by 7?
6
Let b(l) = 4 + 12*l**2 + 14*l**2 - 33*l - 29*l**2. Calculate the remainder when 42/8 + (-1)/4 is divided by b(-11).
1
Suppose -7*v - 140 = -9*v. What is the remainder when v is divided by 5 - 1 - -22 - 2?
22
Suppose -18*g + n = -16*g - 41, -4*g = -5*n - 97. Calculate the remainder when 50 is divided by g.
14
Suppose -20*h + 17*h + 323 = -2*r, 3*h = -3*r + 333. Calculate the remainder when h is divided by 52.
5
Let r = -12 + 24. Let k(x) be the third derivative of -x**5/60 + 7*x**4/6 - 31*x**3/3 + 5*x**2 + 3*x. Calculate the remainder when k(24) is divided by r.
10
Let i = 551 + -533. What is the remainder when 339 is divided by i?
15
Let n = 1809 - 1753. Calculate the remainder when 113 is divided by n.
1
Suppose 0 = -2*d - 3*d + 85. Suppose -116 + 158 = k - y, -12 = -4*y. Calculate the remainder when k is divided by d.
11
Let a = 149 + -105. What is the remainder when 129 is divided by a?
41
Let l be 0/(-1 - 9/(-3)). Suppose 5*n - 5*c = 75, -2*c - 3 - 7 = l. Suppose 5*q = 5*x - 40, 3*q - 2 = -x + q. What is the remainder when n is divided by x?
4
Let q(z) be the first derivative of z**4/4 + 3*z**3 - 2*z**2 - 22*z + 40. Calculate the remainder when q(-9) is divided by 8.
6
Let n(m) = 7*m - 130. Calculate the remainder when 172 is divided by n(26).
16
Suppose 0 = -4*o - 59 - 73. Suppose 3*z + 1 = 4*z. Calculate the remainder when (1 - (-5)/(-4))*(29 + o) is divided by z.
0
Suppose -w = 4*w - 2950. Calculate the remainder when (-16)/10*w/(-4) is divided by 17.
15
Calculate the remainder when -10*(-4)/(-10)*(-29)/2 is divided by 21.
16
Let g(d) = 2*d - 7. Let s be g(4). Let y be 0/(4/2*s). Suppose 2*x + 3*x = -5*b + 30, 3*b - 4*x + 3 = y. Calculate the remainder when 4 is divided by b.
1
Suppose -5*o = 3*o - 224. What is the remainder when o is divided by 13?
2
Suppose -5*p + 4*d + 6 = -2, 8 = -2*p - 4*d. Suppose 114 = 2*h - p*h. Calculate the remainder when 168 is divided by h.
54
Suppose -8*g + 4*w + 84 = -5*g, -2*w - 54 = -2*g. What is the remainder when 838 is divided by g?
22
Suppose 2*j - 57 = 57. Suppose 4*o + 2*y - 81 = 3*y, -37 = -2*o - 3*y. What is the remainder when j is divided by o?
17
Calculate the remainder when 51 is divided by -26*(0 - (1/(-2))/(-1)).
12
Suppose v = 4*k + 6 + 13, -117 = -3*v - 3*k. Suppose -5*x + 10 = -3*a + 47, 0 = -a - 4*x + 1. What is the remainder when v is divided by a?
8
Suppose k + 2*x = -2*x - 22, 3*k = -5*x - 31. Calculate the remainder when 226*(k/4)/((-1)/2) is divided by 19.
17
Let j = 218 - 207. What is the remainder when 675 is divided by j?
4
Let d = -25 - -32. Suppose -5*m - d - 3 = 0, -m = 4*j - 62. What is the remainder when j is divided by (-4)/(-14) - 40/(-7)?
4
What is the remainder when 72 - (-7 - -4 - -2) is divided by 25*(5 + (-1 - 3))?
23
Suppose -114*x = -104*x - 250. Calculate the remainder when x is divided by 4.
1
Let u be 45/(-55) - (-4)/(-22). Let x be 4/(1/u) + 4. Suppose -3*v + 21 - 3 = x. Calculate the remainder when v is divided by 3.
0
Suppose 64*n + 70 = 71*n. What is the remainder when 54 is divided by n?
4
Let s = -3 + 1. Let x be s/((-1167)/387 + 3). Let y = -72 + x. What is the remainder when y is divided by 15?
12
Suppose -5*s + 4*k = -497, -408 = -2*s - 2*s - 2*k. Suppose 0*b - 78 = -3*b. What is the remainder when s is divided by b?
23
Let u(y) = -2*y. Let k = -18 - -43. Let b = 18 - k. Calculate the remainder when 26 is divided by u(b).
12
Suppose 3*k + d - 18 = -8, -45 = -5*k + 4*d. Suppose k*l - 95 = -25. Calculate the remainder when 55 is divided by l.
13
Suppose -k + 157 - 169 = 0. Suppose 2*n + 2*n - 4*g = 120, -n - 5*g = -60. What is the remainder when (-8)/12 + (-812)/k is divided by n?
32
Let n(k) = 27*k**2 + 10*k + 9. What is the remainder when 100 is divided by n(-1)?
22
Suppose -5*b = -3*m - 21 - 42, 0 = 5*b - 2*m - 67. Let v = b + 1. Let z = v + 33. Calculate the remainder when z is divided by 13.
10
Suppose -185 + 89 = -2*m. What is the remainder when 88 is divided by m?
40
Suppose -294 = 37*y - 43*y. Calculate the remainder when y is divided by (0 - -1)/(3/51).
15
Let m(a) = -11*a - 81. Calculate the remainder when m(-22) is divided by 9.
8
Let p = -70 + 129. Calculate the remainder when p is divided by 31.
28
Suppose 5*p = -3*v + 402, p - 5*v - 89 = -31. Calculate the remainder when 217 is divided by p.
61
What is the remainder when 12/14*(-27 + 62) is divided by 17?
13
Suppose -2*s + 4212 = -1086. Suppose 1578 = -2*x + 2*r, 5*x + s = r - 1292. What is the remainder when 105 is divided by 16/88 + x/(-22)?
33
Let i(f) = -4*f + 5. Let o(s) = 3*s - 5. Let u(q) = -2*i(q) - 3*o(q). What is the remainder when (2/(-6))/(3/(-423)) is divided by u(-5)?
7
Suppose -3*s + 124 = -2*s. Calculate the remainder when 121 is divided by 1/((-3 - (-748)/s) + -3).
28
Suppose 5*t - 23 = 102. Let s = 997 - 904. Calculate the remainder when s is divided by t.
18
Suppose 0 = 4*d + 2*j + 16, 2*d - 3*j = -2*j - 8. Let m = 14 - d. Calculate the remainder when m is divided by (-1)/(((-63)/(-56))/(-9)).
2
Let m = -279 - -285. What is the remainder when 