22 + 13 = 0. Let k(l) = l**2 + l + 1. Calculate the remainder when n is divided by k(2).
3
Let b = 46 - 32. What is the remainder when (-2)/3*(-3216)/32 is divided by b?
11
Let z = 16 - 13. Suppose 76 = z*t + a, t = 3*a - 5 + 17. Calculate the remainder when t is divided by (2 - 0) + 10 + 1.
11
Let r(h) = -h**3 + 5*h**2 - 16*h + 9. Let f be r(10). What is the remainder when 2/(-6)*11/(77/f) is divided by 11?
9
Suppose 0 = 2*g + 4 - 58. Calculate the remainder when 71 is divided by g.
17
Suppose -k - 16 = 3*k. Let h = -4 + 19. Calculate the remainder when h is divided by ((-18)/k)/((-9)/(-12)).
3
Suppose 2*h + 0*h = 4. Suppose -48 = -h*x - 4*n, 2*x + 2*x = -5*n + 84. Calculate the remainder when 2*x + (-5)/(-5) is divided by 17.
16
Let s(z) = -17*z - 43. Calculate the remainder when 412 is divided by s(-6).
58
Let s = -310 + 324. What is the remainder when 52 is divided by s?
10
Calculate the remainder when 530/11 + 0 + 4/(-22) is divided by -3*(20/3)/(-2).
8
Suppose 3*o + 80 = 8*o. What is the remainder when 92 is divided by o?
12
Let y = -2985 - -2998. Let p = 108 - 58. What is the remainder when p is divided by y?
11
Suppose -5*m - 540 = -17*m. Calculate the remainder when m is divided by 16.
13
Suppose 0 = -373*r + 375*r - 768. Calculate the remainder when r is divided by 55.
54
Suppose -a = 3*j - 51 + 4, -j + 21 = 3*a. Suppose 6292 = 36*u + 107*u. What is the remainder when u is divided by j?
14
Suppose 4*p - 12 = -4. What is the remainder when 70 is divided by 4 - -12 - 2 - p?
10
Let a(n) be the first derivative of -1/3*n**3 + 5/2*n**2 - 4 + 8*n. Calculate the remainder when a(4) is divided by 5.
2
Let z = -71 - -490. Calculate the remainder when z is divided by 18.
5
Suppose 174 = 2*f + 4*r, -f + 3*r + 0*r = -82. Let v = f - 53. Calculate the remainder when v is divided by 7.
4
What is the remainder when 17 is divided by 148/16 + 3/4?
7
Suppose k = -2*j + 4*j - 167, 0 = -k - 3. Let w = j + -30. Calculate the remainder when 206 is divided by w.
50
Let i = -396 - -397. Calculate the remainder when 4 is divided by i.
0
Suppose 0 = -5*i - 18*i + 276. What is the remainder when 263 is divided by i?
11
Let n(o) = -o**3 - 6*o**2 - 3*o + 4. Let u be n(-6). Let g = -22 - -14. Let d = u + g. What is the remainder when d is divided by 9?
5
What is the remainder when -2*9/(45/(-470)) is divided by 19?
17
Let a be (1/(-3))/((-3)/36). Suppose -203 + 30 = -a*d + 5*p, -5*p = 5*d - 250. Calculate the remainder when d is divided by 17.
13
Let a(s) = -4*s**2. Let f be a(1). Let m be f/(-6) + 57/9. Calculate the remainder when 3 is divided by (-4)/(-14) - (-12)/m.
1
Suppose 3*s = 4*k - 349, 4*k + 33*s - 357 = 28*s. What is the remainder when k is divided by 57?
31
What is the remainder when (630/27)/((-10)/(-45)) is divided by 36?
33
Let d = 9 - 6. Let v(y) = 9*y + 10. Let o be v(20). Suppose d*m - o = -2*k, -4*m - 285 = -5*k + 2*k. What is the remainder when k is divided by 24?
23
Let s = 6 - 4. Suppose 0 = 2*n + 2*n + s*g - 154, -5*n + 190 = 3*g. What is the remainder when n is divided by 11?
8
Let w = -644 - -652. Let g(n) = -2*n + 12. What is the remainder when g(-9) is divided by w?
6
Let o(t) = 7*t - 17. Let c(k) = -k**3 - 7*k**2 - 8*k - 7. Let v be c(-6). What is the remainder when 31 is divided by o(v)?
13
Let s be (-3)/(-2)*(0 + 2). Suppose -3 + 0 = -s*f. Suppose 0 = -3*i + 10 - f. Calculate the remainder when 12 is divided by i.
0
Let a = -152 - -294. Let m(g) = -2*g**3 - g**2 + 4*g + 3. Calculate the remainder when a is divided by m(-3).
34
Suppose 7*r + 36216 = 79*r. Calculate the remainder when r is divided by 101.
99
Suppose -3*n - 3*r + 132 = 0, r - 2*r = -4*n + 166. Suppose 0 = -3*u - 9, 2*u - 4 + 25 = -5*h. Calculate the remainder when n is divided by (5 + 6)/(h/3 + 2).
9
Let t = 1126 - 1107. Calculate the remainder when 512 is divided by t.
18
Suppose 2*x = q - 0*q + 2, 5*q + 4*x = 18. Suppose -3*y + q*a + 133 = a, -3*y = 3*a - 117. Calculate the remainder when y is divided by 11.
10
Suppose 114 = 15*b - 66. Calculate the remainder when 32 is divided by b.
8
Let z be 13/5 + 4/10. Suppose -1 + 13 = 4*v. Suppose 5*o + v = z*w + 23, 4*w = 2*o + 6. Calculate the remainder when o is divided by 2.
1
Suppose 2*z - a - 56 = 0, -2*a - 85 = -3*z - 0*a. Let p be 2/(-3) - (-140)/3. Let j = p - z. Calculate the remainder when j is divided by 5.
4
Suppose f = -3, 0 = -a + 3*a - 3*f - 13. Suppose a*r = r + 13. What is the remainder when 7 is divided by r/3 - (-4)/6?
2
Let p = 9 + -9. Suppose 2*r + 2*r - 324 = p. What is the remainder when r is divided by 41?
40
Let z(j) be the second derivative of -j**5/20 - j**4/4 + j**3/3 - 7*j**2/2 - 14*j. Calculate the remainder when z(-5) is divided by 5.
3
Suppose 5*q - 2146 = 5*p - 326, 4*q = -5*p + 1420. Let h = q - 153. Let l = 296 - h. What is the remainder when l is divided by 23?
20
Let n = 17 - 0. Let s(i) be the third derivative of -i**4/8 - 5*i**3/2 + i**2 - 23*i. What is the remainder when n is divided by s(-8)?
8
Let x(z) = 4*z - 9. Suppose -11*d + 21 = -4*d. Calculate the remainder when x(3) is divided by d.
0
Let j(u) = u**3 - 13*u**2 + 4*u + 12. Let x be j(13). Suppose 21*w - 19*w - x = 0. Calculate the remainder when w is divided by (-69)/(-6) - (-2)/(-4).
10
Suppose -3*a + 4*w - 36 = -98, 47 = 3*a - w. Let x(t) = t**2 - 12*t - 13. Calculate the remainder when 59 is divided by x(a).
14
Let d(s) = 11*s - 471. Calculate the remainder when 83 is divided by d(48).
26
Let j = 66 + -35. Calculate the remainder when j is divided by 18.
13
Let l(b) = -b**3 + 11*b**2 - 7*b + 24. Let n be l(10). Let p = 89 - n. Calculate the remainder when 138 is divided by p.
33
Suppose 4*v + 0*v - 136 = 0. Suppose 0 = -4*i + 5*i - v. What is the remainder when i is divided by 9?
7
Suppose -11 - 1 = 4*w. Calculate the remainder when (30 - 3) + 4/((-4)/w) is divided by 11.
8
What is the remainder when (2 + -3)/(7 + 16030/(-2289)) is divided by 4?
3
Let p(f) = f**3 - 4*f**2 + 4*f. Let g be p(4). Let q = -12 + g. Suppose 12*r = q*r + 88. What is the remainder when r is divided by 4?
3
Let j(o) = o**3 - 20*o**2 - 15*o + 41. What is the remainder when j(21) is divided by 43?
38
Let h = -358 - -636. Calculate the remainder when h is divided by 10.
8
Let g(i) = -2*i**3 + i**2 + i - 2. Let c be g(-3). Suppose 15 = 2*v - 4*o - 41, -3*o = -2*v + c. What is the remainder when 63 is divided by v?
31
Let r = 2 - -20. Calculate the remainder when 1 + r/2 - 1/(-1) is divided by 7.
6
Suppose -o + 15 = 6. What is the remainder when 91/5 + 3 - 9/45 is divided by o?
3
What is the remainder when 220 is divided by (-1220)/(-38) - 4/38?
28
Let b be 1359/6 - (-5)/10. Let r be (5/(-3))/(5/(-450)). Let p = b - r. What is the remainder when p is divided by 26?
25
Suppose 0 = -30*v + 29*v + 53. Suppose -17 = 3*w - v. Suppose 18 = 5*p - q, 3*p = -0*q + q + 12. What is the remainder when w is divided by p?
0
Suppose 2*s - 1 = a, 3*s + 1 = 6*a - 2*a. What is the remainder when 50 is divided by s - ((4 - 17) + -3)?
16
Suppose -8*x + 48 = -4*x. Let m be 9 + (0 - 3) + -2. Suppose -m*l = -88 + x. What is the remainder when l is divided by 5?
4
Let r(c) = 3*c**2 + 37*c - 124. Calculate the remainder when r(-21) is divided by 13.
6
Let v = -174 + 302. Let w = -154 - -206. Suppose -w - v = -5*f. What is the remainder when f is divided by 19?
17
Let t(c) = -c**3 + 9*c**2 + 12*c - 16. Suppose -5*z + 46 = 4*d, -29 = -5*z + 2*z - d. Calculate the remainder when t(z) is divided by 3.
1
Let l(p) = 4*p**3. Let w be l(1). Suppose 0 = w*d - 6 - 2. Let j(h) = h**3 + 7*h**2 - 14*h + 39. What is the remainder when j(-9) is divided by d?
1
Let d = -170 + 291. Calculate the remainder when d is divided by 63.
58
Suppose -3*n + 22 = -4*n. Let d(a) = 6*a - 1. Let p be d(14). Let q = p + n. What is the remainder when q is divided by 21?
19
Let y = 11 + -7. Suppose 4*m + k - 65 = 0, -4*m - 7*k + 2*k + 69 = 0. Calculate the remainder when 35/y - (-4)/m is divided by 3.
0
Let v(s) = -9*s - 8. Let z be ((0 - -5) + -3)*-1. Calculate the remainder when 18 is divided by v(z).
8
Let w(x) = 2*x**3 + 25*x**2 - 43*x + 13. Calculate the remainder when 57 is divided by w(-14).
3
Suppose 418*i = 410*i + 256. What is the remainder when i is divided by 10?
2
Calculate the remainder when 6/3