**2. What is the remainder when x(q) is divided by 14?
12
Let r(m) = -m**3 - 5*m**2 - 15*m - 98. What is the remainder when 100 is divided by r(-6)?
16
Suppose -10*g + 143 = -147. What is the remainder when 491 is divided by g?
27
Let p = -457 + 487. What is the remainder when p is divided by 19?
11
Suppose 43*g - 64*g = -714. Calculate the remainder when g is divided by 13.
8
Let k(o) = o**2 - 8*o - 173. Suppose -4*f - 2 = 2. What is the remainder when (1/f)/((-6)/78) is divided by k(-10)?
6
Suppose 2*g + 5*q + 15 = 36, g - 9 = -2*q. Suppose p + 14 = g*p. Calculate the remainder when 34 is divided by p.
6
Let d(s) = 4*s**2 - 79*s - 9. Let k(y) = -2*y**2 + 40*y + 4. Let n(m) = 3*d(m) + 5*k(m). Calculate the remainder when n(20) is divided by 11.
9
Suppose 7 - 32 = -5*s. Suppose -s*q + 37 = 27. What is the remainder when 5 is divided by q?
1
Let g(l) = -2*l**3 - 3*l**2 - 3*l - 1. Suppose r - 3*r = 4. Let b be g(r). Calculate the remainder when (58/10)/(b/45) is divided by 15.
14
Let g(m) = m**2 - 16*m + 28. What is the remainder when 82 is divided by g(17)?
37
What is the remainder when 34 is divided by 56/16 + -4 - (-78)/4?
15
Suppose 3*s = -3*z - 99, 3*s + 3*z = -z - 103. Let k = -20 - s. Calculate the remainder when 16 is divided by k.
7
Let b(i) = 15*i - 236. What is the remainder when b(23) is divided by 46?
17
Let g be (-9)/6*(-7)/((-21)/(-10)). Suppose -a + 42 = -3*p, -2*a - 2*a = -g*p - 133. Calculate the remainder when a is divided by 6.
3
Suppose g = 4*y + 224, 3*y - 352 - 96 = -2*g. What is the remainder when g is divided by 69?
17
Suppose -2*b - 1176 = 5*v + 1561, 2*v + 3*b = -1086. Let j be (-4)/6*v/6. Suppose 0 = 3*i + 10 - j. Calculate the remainder when i is divided by 10.
7
Let t(d) = d - 5. Suppose -5*s = -3*a + 25, -2*a + 29 = a - s. Suppose -17 = -3*l + a. Calculate the remainder when 13 is divided by t(l).
1
Let k be (4/(-3))/((-1)/3). Suppose k = 2*m - 4. Calculate the remainder when 118/(-6)*(1 - m) is divided by 20.
19
Calculate the remainder when (1 - -94)/(12/48) is divided by 129.
122
Let b = -44 - -69. Let d = -32 + b. Let s(m) = -m**2 - 15*m - 1. Calculate the remainder when s(d) is divided by 28.
27
Let f = -46 - -52. Suppose -4*z + f = -v, v + z - 9 = 2*z. Calculate the remainder when 52 is divided by v.
10
Let t = -244 + 271. Calculate the remainder when 72 is divided by t.
18
Suppose -2*q + 8 = -62. Let o = 19 + -10. What is the remainder when q is divided by o?
8
Let y(l) = 0*l**2 - l**2 - 3*l + 23 - l**2 - 30*l. Let u be y(-17). What is the remainder when 22/33 + 170/u is divided by 6?
5
Let h = -38 + 41. What is the remainder when 31 is divided by ((h/(-6))/1)/(12/(-408))?
14
Suppose 5*t - 2*m = 25, -3*m = -8*m. Calculate the remainder when 8 is divided by t.
3
Suppose -7 - 7 = -7*d. Suppose -y = -5*y - 8. What is the remainder when 65 + y/(-4)*d is divided by 23?
20
Let a(t) = -20*t - 78. What is the remainder when 418 is divided by a(-6)?
40
Suppose 4*z = -c + 586, -2*c + 1172 = 8*z - 9*z. Calculate the remainder when c is divided by 42.
40
Let x be (-1220)/(-25) + 3/15. Suppose -15 = r - x. What is the remainder when r is divided by 12?
10
Let c = 3 - 3. Suppose t = 2*t + 2*d - 46, c = -4*t - 2*d + 172. Calculate the remainder when t is divided by (1/(-3))/((-1)/45).
12
Let s be (56/10)/((-2)/(-5)). Suppose 1510 = s*y + 26. Calculate the remainder when y is divided by 28.
22
Let x(d) = -2*d**2 - 2*d - 3. Let l(v) = -v**2 + 1. Let q(r) = -4*l(r) - x(r). What is the remainder when q(1) is divided by 6?
1
Calculate the remainder when (-4*(-1286)/(-12))/(2/(-6)) is divided by 13.
12
Let o = 25 - 11. Let v = 12 - o. What is the remainder when 82 is divided by -14*(28/(-8) - v)?
19
What is the remainder when 175 is divided by 30*((-22)/132)/(2/(-18))?
40
Let h = 305 - 268. Calculate the remainder when 258 is divided by h.
36
Suppose f + 4*c = 5, 4*f - 20 = 2*c + 3*c. What is the remainder when f is divided by 4?
1
Suppose 168 = 5*f + 18. Suppose p + 72 = 3*i, 3*i - 2*p - 39 - f = 0. Calculate the remainder when i is divided by 14.
11
Suppose j - 3*b + 37 = 2*j, -5*b + 113 = 4*j. Let s = j - 18. Calculate the remainder when 9 is divided by s - ((-2)/2)/(-1).
0
Suppose -2*l + 2*b + 16 = 0, -2*l + 6 + 1 = -5*b. What is the remainder when 12 is divided by l?
1
Let p(z) = z + 16. Let a be p(-6). Suppose -a*k + 1650 = k. What is the remainder when k is divided by 38?
36
Suppose 2*f + f - 36 = 5*h, 2*f = 3*h + 24. What is the remainder when -3 - -6*1 - -61 is divided by 4 - (-3 - (f - 2))?
13
Suppose -55 = u - 6*u. Let a = 233 - 165. Let m = a - 38. Calculate the remainder when m is divided by u.
8
Let s be 2/(-8) + 252/(-16). Let h(p) = -2*p - 17. Calculate the remainder when 25 is divided by h(s).
10
Let i = -3 + 7. Let w(y) = y**3 - 4*y**2 + 3. Suppose 2*u - 26 = -5*h, 2 = -3*u + 2*h + 3. Calculate the remainder when w(i) is divided by u.
0
Let b(m) = -3*m**3 + 20*m**2 + 6*m - 10. Calculate the remainder when b(5) is divided by 73.
72
Suppose -3*a - 36 = -5*r + a, -a - 15 = -2*r. What is the remainder when 18 is divided by r?
2
Suppose 0 = 5*b + q - 36, b - 2*q - 2 - 3 = 0. Suppose 0 = -3*y + 4 + 53. Calculate the remainder when y is divided by b.
5
Let k(x) = -x**3 + 32*x**2 + 34*x + 11. What is the remainder when k(33) is divided by 24?
20
Let l(b) = b - 3. Let d be l(5). Suppose 24 + 156 = d*f. Suppose 0 = 2*q + 4*q - f. Calculate the remainder when 55 is divided by q.
10
Let u = 2130 - 1040. What is the remainder when u is divided by 12?
10
Suppose -2 = -6*o + 22. Suppose -s + o*b = 5*b - 7, 5*s + 3*b - 35 = 0. Calculate the remainder when s is divided by 6.
1
Suppose -5*j + 5*u - 35 = -135, 0 = 5*j + 5*u - 80. Calculate the remainder when 86 is divided by j.
14
Let d = -9 - -9. Suppose d = -0*p - 5*p - 235. Let n = -32 - p. Calculate the remainder when 29 is divided by n.
14
Suppose -3*r = 4*p + 57, 2*p + 33 = -0*p + 3*r. What is the remainder when 109 is divided by 14 - (p/(-5) - 0)?
10
Let m(n) = 4*n**2 - 28*n + 137. Calculate the remainder when m(13) is divided by 25.
24
Let n = 59 + -55. Suppose 2*z + 37 = 3*t + z, -n*t - 3*z = -45. What is the remainder when 70 is divided by t?
10
Calculate the remainder when 141 is divided by 31 + (-10)/(2/(-1) - 0).
33
Let w = 1 + 5. Suppose f - 17 = w. What is the remainder when f is divided by 7?
2
Suppose 5*o + 5*c = 135, -109 = -3*o + 5*c - 20. What is the remainder when 79 is divided by o?
23
Suppose 5*w = 7*w + 12. What is the remainder when w/10 - (-2314)/65 is divided by 13?
9
Suppose -8*v + 152 = 8. What is the remainder when v is divided by 4?
2
Suppose 0 = 2*r + r - 4*i + 8, -i + 9 = r. Suppose -m + 4*w + 65 = 4*m, r*m - 2*w = 58. What is the remainder when m is divided by 5?
2
Suppose -d = 2*h + 21, 4*h - 2*d + 35 = 13. Suppose -x + 9 = -2*p - 4*x, -22 = 4*p + 2*x. Let n = p - h. Calculate the remainder when 2 is divided by n.
0
Let i = -39 + 57. What is the remainder when 44 is divided by i?
8
Let f(d) = -d**2 - 24*d - 70. What is the remainder when f(-20) is divided by 3?
1
Calculate the remainder when 63 is divided by 1/7 - (-900)/70.
11
Let a be (196/6)/7 - 1/(-3). Suppose -143 = -a*d + 4*d. Suppose -3*s + 0*s - 2*r = -100, -2*s - r = -68. Calculate the remainder when d is divided by s.
35
Suppose 5*h = 2*j - 78, 0 = -5*j - 8*h + 4*h + 129. Suppose n + 3*n - 304 = -4*g, 3*g - 238 = -n. What is the remainder when g is divided by j?
23
Let m be 1/2 - (-15)/10. Let s = 15 - m. Calculate the remainder when s is divided by 7.
6
Let r(q) = 2*q - 20. Let n be r(10). Suppose -49 = -2*i + 101. What is the remainder when i is divided by (-1 - -38) + 2 + n?
36
Let z = -1977 - -2069. Calculate the remainder when z is divided by 31.
30
Suppose 0 = 5*f + 19 - 4. Calculate the remainder when 41 is divided by f + (0/(-4) - -14).
8
Let v(n) = -n + 15. What is the remainder when (4 - 2) + 20*2 is divided by v(4)?
9
Let c(m) be the second derivative of -m**4/12 + 8*m**3/3 - 10*m**2 + 10*m. Calculate the remainder when c(11) is divided by 9.
8
Suppose -t - x + 6 = 2*x, 24 = 4*t - 5*x. Suppose 3*y + 0*a - a = 10, -a + t = y. What is the remainder when 7 is divided by y?
3
Let h(g) = -g**3 + 8*g**2 + 5*g + 1. Let x be h(5). Let v = x + -66. Suppose -4*k - d - 5 = -52, -2*