 - 2. Let q(l) = l**2 - l + 1. Let o(p) = -i(p) - 2*q(p). What is the remainder when o(8) is divided by 25?
23
Let a(k) = k**2 + 6*k + 4. What is the remainder when 171/(-27) + 6 - 56/(-6) is divided by a(-6)?
1
Suppose 2*n + c = 61, -n - 2*c + 44 = 6. Calculate the remainder when 277 is divided by n.
25
Let f(t) = 2*t**3 - 29*t**2 + 40*t + 19. What is the remainder when 58 is divided by f(13)?
26
Suppose -2*c = 2*g - 48, -2*g - 3 + 43 = -2*c. What is the remainder when g is divided by 13?
9
Suppose 2*g + d = -0*g + 46, 62 = 2*g - 3*d. Calculate the remainder when 168 is divided by g.
18
Suppose -5*d = -10, -2*a = -5*d - 27 - 199. Let m = a - 110. What is the remainder when m is divided by 5?
3
Suppose -5*d - 3718 + 4228 = 0. Suppose 0 = -3*g - 2 + 41. What is the remainder when d is divided by g?
11
Let n(z) = -15*z + 4. Let o be (-2)/10 + (-96)/20. Calculate the remainder when n(o) is divided by (12 - 88/11)*(6 + -2).
15
Let d(l) = -l**3 + 15*l**2 - 36*l + 2. Let v be d(12). Suppose -r + 19 = 6. Calculate the remainder when r is divided by 36/16*(-20)/(-15) + v.
3
Suppose 2*z = 5*u - 37, 3*z - 2*u + 51 - 1 = 0. Let b be z/(-28) + 11/(-7). What is the remainder when ((-9)/6 - b)*-34 is divided by 10?
7
Suppose -1 = 2*r - 13. Let t = 17 - r. Suppose 2 = 2*h - 84. Calculate the remainder when h is divided by t.
10
Suppose 0*g - 6 = 3*g, -5*g - 15 = -5*y. Let l be (-471)/(-12) - y/4. Suppose 30 = 3*c - l. What is the remainder when c is divided by 13?
10
Let t(y) be the second derivative of -2*y**3/3 + 3*y**2 - 31*y. What is the remainder when 49 is divided by t(-5)?
23
Let f(u) = 4*u**3 - 22*u**2 + 11. Let r(a) = 9*a**3 - 45*a**2 + 23. Let k(z) = 7*f(z) - 3*r(z). What is the remainder when 52 is divided by k(19)?
4
Let q be ((8/28)/1 + 0)*14. Suppose h - 2*a = -4, 0 = -2*h + 3*h + a - 2. Suppose -q*w + h*w + 52 = 0. What is the remainder when 64 is divided by w?
12
Suppose -u - 10 + 27 = 0. Suppose -5*t + 183 = 4*d - 37, -t + 5*d = -73. What is the remainder when t is divided by u?
14
Let j(m) = m**2 - 9*m - 4. Let c be j(15). Suppose 81*l + 75 = c*l. What is the remainder when 47 is divided by l?
2
Let j = 134 + -127. Suppose 2*n + n - 75 = 0. Calculate the remainder when n is divided by j.
4
Suppose 6*g = 14*g + 48. Let m(a) = -a**2 - 7*a + 9. Let t = 142 + -85. Calculate the remainder when t is divided by m(g).
12
Let m(o) be the third derivative of -o**6/120 + o**5/20 + o**4/8 + 2*o**3/3 - 12*o**2. Calculate the remainder when 62 is divided by m(3).
10
Let z = 5 - -6. Suppose -5*l + 0*l + 20 = 0. Suppose -t - 96 = -l*t. Calculate the remainder when t is divided by z.
10
Let p(x) = -x**3 + x**2 + 4*x + 1. Let u be p(2). Let q = 19 - u. What is the remainder when 40 is divided by q?
12
Suppose 364 = -5*x + 12*x. Suppose 2*r - 6*r + a = -112, 2*a = -8. What is the remainder when x is divided by r?
25
Suppose 372 = m + 2*c, 0 = -5*m - 6*c + 2*c + 1884. Suppose -r + 38 = 2*s - s, 8 = r - 5*s. What is the remainder when m/6 - (-10)/(-30) is divided by r?
30
Let h(r) = 62*r**2 - r - 1. Let g = -2 + 8. Suppose -3*z - w + 8 = 4*w, 4*z - g = -2*w. What is the remainder when h(z) is divided by 16?
12
Suppose 5*a - 293 = 4*w, -3*a - 7*w + 198 = -2*w. What is the remainder when 130 is divided by a?
8
What is the remainder when 2 + 424/24*12 is divided by 31?
28
Let x(g) = 6 + 4*g - 4 - 3 + 3. Let l be (-6)/(-9) + (-10)/(-3). Calculate the remainder when 70 is divided by x(l).
16
Suppose 9*i = 301 + 86. What is the remainder when 209 is divided by i?
37
Suppose -40 - 45 = -r + b, -b = r - 81. Calculate the remainder when r is divided by 32.
19
Suppose -99*m + 272 = -95*m. Calculate the remainder when 201 is divided by m.
65
Suppose 0 = i - 0*i - 3*b - 23, -3*i + 17 = 4*b. Suppose 4*a = 12, -5*p + 222*a + 426 = 219*a. Calculate the remainder when p is divided by i.
10
What is the remainder when 616 is divided by 210/28*(237/15 - -1)?
112
Suppose 2*b + 8 = 2*u, -u = 2*b - 0*u + 11. Let w(a) = 3*a**2 - 2*a - 6. What is the remainder when w(b) is divided by 27?
25
Suppose 130 = 11*i - 123. Let s = i + 17. What is the remainder when 78 is divided by s?
38
What is the remainder when 99 is divided by 1720/50 + 12/(-30)?
31
Suppose -6*c + 87 = -9*c. Let p = 82 + c. What is the remainder when p is divided by 28?
25
Let w = 6 + 52. Let s(f) = -2*f**2 - 19*f - 14. Calculate the remainder when w is divided by s(-8).
8
Suppose 0 = n + 5*n + 30. Let r = n - -53. Let p(a) = a + 7. What is the remainder when r is divided by p(6)?
9
Suppose -u + 2 + 7 = 2*t, 3*t - 18 = 3*u. Calculate the remainder when 85 is divided by t.
0
Suppose 0 = 46*s - 28*s - 1008. Calculate the remainder when s is divided by 5.
1
Let k = 101 - 98. Suppose -82 = -f - 5*y, y - 16 + 278 = k*f. Calculate the remainder when f is divided by 44.
43
Suppose 9 = -2*p + 33. What is the remainder when 94 is divided by p?
10
Suppose -2*n + n = 18. Let w = n - -54. What is the remainder when 178 is divided by w?
34
Let r be (-32)/(-14) + 28/(-98). Suppose -120 = -r*y + 5*z, -4*y + 338 = y - 3*z. Calculate the remainder when y is divided by 24.
22
Let h(n) = -14*n - 90. Calculate the remainder when h(-14) is divided by 12.
10
Suppose 5*v - 532 = 3*p - 4, -5*v - 2*p = -548. Suppose v + 92 = 8*k. What is the remainder when 43 is divided by k?
18
Let d be (-12)/(-5) + 8/(-20) + 1. Suppose -147 = -d*b + 213. What is the remainder when b is divided by 18?
12
Let y = 116 + 7. Let l = -125 - -139. What is the remainder when y is divided by l?
11
Suppose 2*f + 7*c - 4*c = 71, -4*f = -c - 149. What is the remainder when 104 is divided by f?
30
Let x = -21 - -27. Calculate the remainder when 56 is divided by (-1)/((x/57)/(-2)).
18
Let y = 11 - 7. Calculate the remainder when 615/55 - (-12)/(-66) is divided by y.
3
Let u be (-4)/6 - (70/21 - 1). What is the remainder when ((-6)/(-24))/(u/(-1284)) is divided by 27?
26
Suppose 12 = 4*l + 4. Let i(m) = 4*m + 1. Let k be i(-2). Let y = -6 - k. What is the remainder when l is divided by y?
0
Suppose 4*b - 24 = 4*z, 3*b - 5*z = -z + 20. Suppose -b*s - d = -235, 3*d = 4*s + d - 250. Calculate the remainder when s is divided by 31.
29
Suppose -4*y = -64 + 16. Let j(q) = 2*q - 50. Let v be j(20). Calculate the remainder when 9 is divided by -1 - y/(v/5).
4
Let j = 24 + -26. Let q be 10/(j + 8/3). Suppose -q*s = -17*s + 34. Calculate the remainder when s is divided by 6.
5
Let h(p) = p**2 + 6*p + 3. Suppose 3*k - 7 - 17 = 0. Let a = k + -14. Calculate the remainder when 5 is divided by h(a).
2
Suppose -5*u + 103 = s, -26*s = -24*s + 2*u - 246. What is the remainder when s is divided by 66?
62
Suppose -99*p + 854 = -92*p. Calculate the remainder when p is divided by 42.
38
Let d = 6 - 26. Let y = -5 - d. What is the remainder when 56 is divided by y?
11
Suppose 2*f + 232 = 4*c, 5*c - 2*c - f = 173. Calculate the remainder when c is divided by ((-4)/2)/(36/(-558)).
26
Suppose 8*w - 11*w = 456. Calculate the remainder when 50 is divided by 2/6 + w/(-12).
11
Suppose -13*h - 39*h + 10296 = 0. Calculate the remainder when h is divided by 14.
2
What is the remainder when -8*(-6 - 404/8) is divided by 65?
62
Suppose 0 = -4*w + 41 + 7. Let f = 33 - 40. Let r(g) = g**3 + 9*g**2 + 7*g - 14. What is the remainder when r(f) is divided by w?
11
Let p(v) = 4*v + 24. Let l be p(-12). Let o(y) = -y - 1. What is the remainder when (9/(-2))/(9/l) is divided by o(-6)?
2
Suppose 5*p - 2 = m - 104, -4*p - 99 = -m. What is the remainder when 95 is divided by m?
8
What is the remainder when 104 is divided by ((-66)/(-9) + (-5 - 0))*9?
20
Suppose -12 = -3*o, 2*c - o + 4*o = 30. Let a(j) = 2*j**2 + 12*j + 3. Calculate the remainder when c is divided by a(-6).
0
Suppose -f + k - 2*k + 494 = 0, -1492 = -3*f - k. Calculate the remainder when f is divided by 36.
31
Let x be 20/6 - 1/3. Let k = -335 + 332. What is the remainder when 38 is divided by (7 + x)*(k + 4)?
8
Let v be 22/(-77) - (-144)/14. Suppose -v*h = -9*h - 15. What is the remainder when 41 is divided by h?
11
Let t(y) = 13*y**2 - 2*y + 4. Let k be t(3). Suppose 0 = -g - 4*g + k. What is the remainder when 91 is divided by g?
22
Let x = -1454 + 2082. Calculate the remainder when x is divided by 42.
40
Let j(v) = 83*v - 824. Calculate the remai