(5).
0
Suppose -4*k + q = k + 22, -4*k + 5*q = 26. Let c be (k/(-8))/((-4)/(-2472)). Suppose 2*t - 5*t = -c. What is the remainder when t is divided by 26?
25
Suppose -115 = -3*j - 2*x, 2*x + 50 = j + 5*x. Calculate the remainder when 42 is divided by j.
7
Let x be (194/4)/(2/(-4)). Let q = x + 212. Let t(w) = w**3 - 13*w**2 + 29*w - 48. What is the remainder when q is divided by t(11)?
28
Let c = -26 - -26. Suppose 0*j - 4*j = c. Suppose -5*u - 4*q + 3*q = -47, j = 5*u + 3*q - 51. What is the remainder when u is divided by 3?
0
Let i = -110 + 117. Calculate the remainder when 12 is divided by i.
5
Let z be 4/(-8)*-254*-1. Let s = z - -195. Calculate the remainder when s is divided by 23.
22
Suppose 0 = -4*k + 5*k - 157. Suppose 0 = 2512*n - 2517*n + 200. What is the remainder when k is divided by n?
37
Let n = -25 - -48. Calculate the remainder when n is divided by 8.
7
Suppose -x + 76 = 3*k, -2*k - 6*x + 34 = -2*x. Calculate the remainder when 91 is divided by k.
10
Let f(v) = v**3 - 3*v - 3 - 6*v**2 + 4*v - 3*v + 10*v**2. Let i be f(-4). What is the remainder when 42 is divided by 2/i - 864/(-40)?
20
Suppose -2*s = -66 + 22. Suppose -m - 3*t + s = 0, 2*m - 6 - 13 = -t. Suppose 140 = -3*y + m*y. What is the remainder when y is divided by 9?
8
Let j(d) = d**3 + 11*d**2 - 3*d - 2. Let a be j(-11). Suppose 0 = 10*f - a - 129. What is the remainder when 46 is divided by f?
14
Let d(c) = -4*c + 5. Let a be d(11). Let k = a - -71. Let m = -21 - -38. What is the remainder when k is divided by m?
15
Let k(a) = 2*a**2 - 45*a + 57. Calculate the remainder when 252 is divided by k(23).
12
Suppose 269*i = 263*i + 858. What is the remainder when i is divided by 50?
43
Suppose 60 = -u + 6*u. Suppose -1084*z = -1067*z - 578. What is the remainder when z is divided by u?
10
Suppose 5*t = 4*s - 2501, 2*s = t + 1057 + 198. Calculate the remainder when s is divided by 106.
99
Suppose -3*p - p = -3*a - 296, -5*a - 365 = -5*p. What is the remainder when p is divided by 39?
38
Let s = 12 + -14. Let f(l) = -15*l**2 - 2*l - 3. Let q be f(s). Let h = -29 - q. What is the remainder when h is divided by 11?
8
What is the remainder when 2/5 + ((-721)/(-35) - -4) is divided by 15?
10
Let r = -2 - -14. Let x be (3/4)/(r/96). What is the remainder when (-35)/10*-3*x is divided by 16?
15
Suppose q = 2*q. Suppose q = -3*r - r + 100. Let b = -24 + r. What is the remainder when 2 is divided by b?
0
Let l = 75 - 67. Suppose 5*f + 195 = l*f. Calculate the remainder when f is divided by 17.
14
Suppose 5*k - 85 = -s, -3*s + 5*s - 2*k = 158. Calculate the remainder when s is divided by 20.
0
Suppose 0 = t - 411 + 306. Calculate the remainder when t is divided by 47.
11
Suppose 4*n + 7 = 15. Suppose x - 4 = -0*x, n*x + 4 = -2*u. Let p(d) = -d - 3. What is the remainder when 8 is divided by p(u)?
2
Let v be ((-10)/(-4))/(-1 + 9/6). Suppose v*g - 308 = g. What is the remainder when g is divided by 32?
13
Let f = -294 - -349. Calculate the remainder when 128 is divided by f.
18
Suppose 0 = -c - 4*g + 10, 2*g - 5*g = -c - 4. Let t = 36 - 9. Calculate the remainder when t is divided by (1 - c)*2 - -12.
7
Let n = 13 - 16. Calculate the remainder when (n/(-4))/((-4)/(-112)) is divided by 12.
9
Suppose 161 = 3*l - l - 3*q, 3*l - 234 = -3*q. Let y = -25 + l. Suppose 0 = -2*z + z + y. Calculate the remainder when z is divided by 19.
16
Suppose -z + 5*b + 7 = -32, 0 = -2*z - 5*b + 33. Let c = z - 1. What is the remainder when 44 is divided by c?
21
Suppose g + 47 = 3*z - 0*g, 51 = 3*z - 3*g. Suppose 13 + 7 = 4*f. Suppose 128 = -f*c + 413. Calculate the remainder when c is divided by z.
12
Let g(r) = r**3 - 16*r**2 + 11*r - 59. Calculate the remainder when g(16) is divided by 10.
7
Let v = 45 + -23. What is the remainder when 109 is divided by v?
21
Let m(w) = 11*w - 14. Suppose 8*f - 35 = 5. What is the remainder when 78 is divided by m(f)?
37
Let z(j) = 2*j + 7. Let f be z(-2). Suppose -18 = -5*h - f. What is the remainder when 39/15 - (-6)/15 is divided by h?
0
Let k = 16 - -165. Let c = k - 287. Let w = -63 - c. Calculate the remainder when w is divided by 15.
13
Suppose 37*q - 26*q - 88 = 0. Calculate the remainder when 190 is divided by q.
6
Suppose 18*c - 1128 + 48 = 0. What is the remainder when 191 is divided by c?
11
Let m = 19 + -16. Let q be -1 - 9/m - 8. Calculate the remainder when 35 is divided by (q/10)/(10/(-75)).
8
Let l(m) = 14*m - 7. Suppose -w + 112 = -3*p, -4*w = 4*p - 2*w + 146. Let o = p + 42. Calculate the remainder when l(o) is divided by 22.
19
Calculate the remainder when (-20481)/(-18) + 7/(-84)*-2 is divided by 12.
10
Suppose 0 = -4*q - 4*i + 168, -3*q + 30 + 88 = i. What is the remainder when 147 is divided by q?
33
Suppose -35*n + 205 + 390 = 0. Let t(l) = 29*l**2 + l. What is the remainder when t(1) is divided by n?
13
Let s(l) = -l**3 - 6*l**2 + 5*l + 10. Let p(v) = -v**3 + v**2 + 1. Let q(t) = 2*p(t) - s(t). Calculate the remainder when q(6) is divided by 19.
15
Suppose -2*h - 128 + 47 = j, 5*h - 4*j + 196 = 0. Let u = -20 - h. Let g = 10 + -3. Calculate the remainder when u is divided by g.
6
Suppose 2*r - 6*r + 16 = 0. Suppose -4*c - v + 5*v + 60 = 0, -50 = -2*c - 3*v. Let w = -6 + c. What is the remainder when w is divided by r?
1
Let d(t) be the second derivative of -5*t**3 + t. Let g(u) = -u. Let k(y) = 3*d(y) - 60*g(y). Calculate the remainder when k(-1) is divided by 16.
14
Suppose -6*m - 144 = -24. Let y = m - -23. What is the remainder when (6 + 0)/(y/8) is divided by 9?
7
Let s(a) = 8*a + 20. What is the remainder when s(2) is divided by 6/(-15) - 67/(-5)?
10
Suppose n = 0, 10*r - 7*r = n + 2010. Let f = r + -444. Calculate the remainder when f is divided by 57.
55
Suppose 2*x = y + 6, 2*x + 0 - 2 = -y. Let f(w) be the third derivative of w**4/24 + w**3/2 + 2*w**2. Calculate the remainder when f(3) is divided by x.
0
Let y(m) = -m**2 - 70*m - 256. What is the remainder when y(-16) is divided by 31?
19
Suppose 0 = 3*h + 3 + 6. Calculate the remainder when h*-2*(-3)/(-18) is divided by 1.
0
Suppose -14*d + 3*b + 23156 = 8405, 5*d = -2*b + 5259. What is the remainder when d is divided by 132?
129
Let v(t) be the third derivative of -t**5/60 + 19*t**3/3 - 10*t**2. What is the remainder when v(0) is divided by 13?
12
Let s(c) be the first derivative of -c**5/20 + c**4/12 - c**3 - 1. Let k(z) be the third derivative of s(z). What is the remainder when k(-2) is divided by 5?
4
Let r = 36 - 63. Let w = 31 + r. Suppose 0 = 3*i - 5*x - 47, -61 = -3*i + 2*x - w*x. What is the remainder when 37 is divided by i?
18
Let g be -80 + -2*2/(-4). Let r = g + 135. Let m(b) = -b**3 + 16*b**2 - 50*b + 43. Calculate the remainder when r is divided by m(12).
18
Suppose -270 + 202 = -17*v. What is the remainder when (-25)/(-1) + (-10)/(-5) is divided by v?
3
Suppose 38 = 4*b - 3*y, 3*b + y = 2*b + 13. Let a = b + 15. What is the remainder when a is divided by 14?
12
Let s = -34 + 47. Suppose -15 = 2*c - 5*c. Suppose -5*g + 0*g + c*h = -135, -4*h = -3*g + 84. What is the remainder when g is divided by s?
11
Let n(l) = l**2 - 2*l - 8. Let y be -3*(-1*3 + (-77)/(-21)). Let m(z) = -7*z**3 + 3*z**2 + 4*z + 2. Calculate the remainder when m(y) is divided by n(6).
14
Let d be ((-3)/(-9))/(4/12). Suppose -c = -2 - d. Suppose 0 = -c*q + 6*q + 5*k - 62, -4*k = 3*q - 58. What is the remainder when q is divided by 8?
6
Let v(u) be the first derivative of u**3/3 - 3*u**2 + 9*u - 10. Let b(n) be the first derivative of v(n). Calculate the remainder when 23 is divided by b(7).
7
Suppose -7*u + 2*u + 11 = -s, u - 1 = -s. Suppose -u*t + 54 = -18. Calculate the remainder when t is divided by 183/15 - 4/(-5).
10
Suppose n = -6*n + 336. Let j = -11 - -18. Calculate the remainder when n is divided by j.
6
Let j be (-4)/(-12) - 646/(-6). Suppose -j = -4*u - 88. Calculate the remainder when (-62)/(-4) + 1/(-2) is divided by u.
0
Let y(b) = -b**2 + 15*b - 40. Let m = 65 + -116. Let u = 128 + m. What is the remainder when u is divided by y(8)?
13
Suppose 2*w - 36 = 4. Suppose 0 = -2*b + 4*b - w. Calculate the remainder when 42 is divided by 88/b + (-2)/(-10).
6
Suppose -16*c = -669 - 867. What is the remainder when 124 is divided by c?
28
Let d = 143 - 18. Calculate the remainder when d is div