*r = -5*u + 5*r + 26. Let z = 12 - u. Calculate the remainder when 22 is divided by z.
4
Let w(q) = q**2 + 3*q + 3. Let x be w(-3). Suppose -4*b = 4*y - 128, -4*b = -4*y + x*y - 143. Calculate the remainder when b is divided by 12.
11
Let t(u) = u**3 - 4*u**2 + 3*u - 2. What is the remainder when t(7) is divided by 24?
22
Let a(h) = h + 5. Let g be a(0). Suppose 5*r - 67 = 2*o, -g*r + 5*o = 24 - 94. Let q = 89 - 52. Calculate the remainder when q is divided by r.
11
Let a be (-3 - 28/(-8))*6. Suppose -4*b - b = -5*x + 25, -a*x + 15 = 2*b. Calculate the remainder when 8 is divided by x.
3
Suppose s - 2*l = -4*s + 110, s - 5*l = -1. Suppose -m - 5*k + s = 0, 0*m + 12 = m + k. Calculate the remainder when m is divided by (-1)/((-4)/(-16)) - -9.
4
Suppose -76 = -6*b + 8. What is the remainder when 26 is divided by b?
12
Suppose h + x - 37 = 0, -x - 5 - 118 = -4*h. Calculate the remainder when h is divided by 7.
4
Suppose -152*v + 151*v = -36. Suppose 0 = 5*a - 99 + 34. Calculate the remainder when v is divided by a.
10
Suppose g + 2*g = 117. Calculate the remainder when g is divided by 8.
7
Let q(z) = z**3 + z**2 - z - 2. Let b be q(0). What is the remainder when b/((-2)/(-2)*-1) is divided by 1?
0
Let p(g) = 24*g**3 - g + 1. Suppose 1 = 5*c - 4. Calculate the remainder when 47 is divided by p(c).
23
Calculate the remainder when 10/1 + 4 + (-5 - 2) is divided by (15/9)/((-2)/(-6)).
2
Suppose -2*c + 15 = -5*j, -3*j + 9 = 3*c - 24. Suppose -106 = -2*y - 50. What is the remainder when y is divided by c?
8
Suppose -2*a = 3*a - 1020. Suppose -5*x - 16 = 9, 4*x = 4*p - a. What is the remainder when p is divided by 24/(1 + 1/2)?
14
Suppose 2*p = 28 + 2. Calculate the remainder when 58 is divided by p.
13
Let b(w) = w**2 - w + 1. Let r be b(2). Suppose -2*g - 5 + 13 = 0, -5*a = -r*g - 173. What is the remainder when a is divided by 10?
7
Calculate the remainder when 184/6 - (-3)/9 is divided by 8.
7
Suppose -6 = -4*f + 5*f. Calculate the remainder when (f/4)/((-9)/444) is divided by 19.
17
Suppose -2*d = 3*h - 14, 5*d - 22 = -5*h + 8. Let i(s) = s**2 - 34*s + 7. What is the remainder when i(34) is divided by d + 1 + 1 + -2?
3
Let d = -2 - -5. Calculate the remainder when 8 is divided by d.
2
Suppose -3*h - 30 = -3*c, h + 1 + 69 = 5*c. What is the remainder when 3*(-10)/(-18)*c is divided by (-342)/(-26) - 4/26?
12
Let p(n) = n**3 + 23*n**2 - 24*n + 5. What is the remainder when 13 is divided by p(-24)?
3
Calculate the remainder when (4 + -3)/(2/134) is divided by 14.
11
Suppose -5*d - 10 = 0, 5*d = -5*r - 4 + 19. Suppose 5*c - 10 = -r*g, c - 2 = -0*c + g. Let k = -7 - -12. What is the remainder when k is divided by c?
1
Let z(y) = 2*y**2 + 9*y - 31. What is the remainder when z(-15) is divided by 19?
18
Let c = 19 - -16. Calculate the remainder when c is divided by 19.
16
Suppose 0*b = -2*b + 10. Suppose b*r + 7 = x, -3*x - 2*r - r = -21. Calculate the remainder when x is divided by 2.
1
Suppose 0 = -3*x + 5*c + 31, -4*x - 28 = 5*c - 11. Suppose -x + 0 = -2*g. What is the remainder when g is divided by (-2)/7 + (-27)/(-21)?
0
Suppose 3*y - 63 = 3*c, 6*y + 4*c - 49 = 3*y. Calculate the remainder when y is divided by 12.
7
Let z = 7 + 3. What is the remainder when 18 is divided by z?
8
Let x be (-48)/20 + (-2)/(-5). Let j(n) = -3*n. What is the remainder when j(x) is divided by 12/(-21)*(-7)/2?
0
Let i(f) = 2*f + 6. Let y be i(-4). Calculate the remainder when 40 is divided by (-26)/y + -4 + 5.
12
Suppose 5*p = 3*p. Suppose 3*q - 282 = -p*i + i, -i + 470 = 5*q. Calculate the remainder when q is divided by 24.
22
Let t(u) = -5*u + 0*u - 4 + u + 5*u. What is the remainder when 22 is divided by t(10)?
4
Calculate the remainder when 48 is divided by (100/(-6))/((-8)/12).
23
Suppose 50 = 5*x - 5*l, -2*l - 5 - 2 = -x. What is the remainder when x is divided by 8?
5
Let k(z) be the third derivative of 1/8*z**4 + 0 - 1/3*z**3 + 0*z + z**2. Calculate the remainder when 19 is divided by k(4).
9
Suppose k - 146 = -4*r, r - 5*k = -2*k + 30. Let y = r - 5. What is the remainder when y is divided by 11?
9
Let h(j) = -11*j - 1. Let r be h(-8). Let u = r + -2. Let i = u + -61. Calculate the remainder when 47 is divided by i.
23
Let h(p) = -p + 12. Let q = -7 - -16. What is the remainder when (-2)/7 - 204/(-28) is divided by h(q)?
1
Let k(f) be the third derivative of -5*f**4/24 + f**2. Calculate the remainder when k(-1) is divided by 3.
2
Suppose -2*g + 5*s = 4*s - 6, 0 = -2*g + 3*s + 6. Suppose 2 = 5*c - g. What is the remainder when 10 is divided by c + 3 - 2 - -2?
2
Let g(t) = 4*t + 6*t**2 + 5*t + 1 - 1 - t**3. What is the remainder when 41 is divided by g(7)?
13
Let y be 2 + (3 - (3 + -2)). Let x(z) = 6*z**2 + 3*z + 3. Let o be x(y). Suppose -4*r + o = -r. Calculate the remainder when r is divided by 13.
11
Suppose 3*z = -p - 7, 9 = 5*p - 3*z - 28. Let j(k) = -k**2 + 8*k + 6. What is the remainder when j(p) is divided by 6?
3
Let v(n) = n**2 - 8*n - 6. Let c = -6 + 16. Calculate the remainder when 41 is divided by v(c).
13
Let y(h) = h**2 - 18*h - 51. What is the remainder when 21 is divided by y(21)?
9
Suppose -10 = 5*f, -3*i + 2*f = -7*i + 44. What is the remainder when 70 is divided by i?
10
Suppose 78 = 2*v - 76. Calculate the remainder when v is divided by 16.
13
Let p = 20 + -31. Let g = -2 - p. Suppose 125 = 3*n + 20. What is the remainder when n is divided by g?
8
Let z(d) = -2*d**3 - 3*d**2 + 2*d. What is the remainder when z(-3) is divided by 8?
5
Let l = 23 - 13. Suppose 6*c = 150 + 78. What is the remainder when c is divided by l?
8
Let m(t) = -3*t + 22. Calculate the remainder when m(-5) is divided by 14.
9
Let t = -22 + 96. Calculate the remainder when t is divided by 20.
14
Suppose 0 = -4*i + 29 - 9. What is the remainder when 19 is divided by i?
4
Let u = -22 + 62. Let k be (-1)/2*-106 - 2. Suppose 5*j = k + 19. What is the remainder when u is divided by j?
12
Let t be 0 + (4/(-2) - -5). Suppose 2*n = 4*q + 20 + 14, 0 = t*n - 4*q - 41. Let v(x) = -x**2 - 7*x - 6. What is the remainder when n is divided by v(-5)?
3
Let l = 117 - 96. What is the remainder when l is divided by 13?
8
Suppose n - 84 = -n + 4*d, 0 = -3*d - 6. Calculate the remainder when n is divided by 14.
10
Let o be 1/(-2)*0 + 5. Suppose 16 = o*s - 44. Calculate the remainder when (1 - 31/(-3))*3 is divided by s.
10
Let l(y) = 5*y**2 - 6*y - 6. Let k be l(6). Suppose -c = 2*c - k. What is the remainder when c is divided by 12?
10
Let d(n) = -n**2 + 3. Let u be d(-3). Let r = 37 - 22. What is the remainder when r is divided by 104/12 - (-4)/u?
7
Let g(a) = a**2 + 4*a + 1. Let w be 106/(-22) + (-18)/99. What is the remainder when g(w) is divided by 3?
0
Let i(v) = v**3 + 7*v**2 - 9*v + 1. Let g(u) = 6*u + 1. Let p(k) = k. Let m(s) = g(s) - 4*p(s). Calculate the remainder when i(-8) is divided by m(2).
4
Let k be -1 - (-8 - (0 + 2)). Suppose 0 = 3*i - 6*i + k. Suppose -46 = -i*a + a. What is the remainder when a is divided by 8?
7
Calculate the remainder when 90 is divided by (31/2)/((-8)/(-64)*4).
28
Suppose -p = 2*p + 36. What is the remainder when p/18*(-54)/4 is divided by 3?
0
Let f(b) = b**3 - 5*b**2 - 6*b - 2. Let q be f(6). Let x = q - -4. Suppose -165 + 39 = -18*u. What is the remainder when u is divided by x?
1
Let s = 7 - 4. Let g(j) = j**2 - 5*j - 4. Let f be g(-4). Suppose -q + s*q = f. Calculate the remainder when q is divided by 9.
7
Let q(j) = -6*j**2 - 7*j - 1 + 5*j**2 + 8. Let a(y) = 20*y**2 - y + 1. What is the remainder when a(1) is divided by q(-7)?
6
Suppose z + 9 = 3. Let l be -4 + -1*0/3. What is the remainder when 11 is divided by z/5*(l + -1)?
5
Let v = 326 + -310. Suppose -2*d = 5 - 25. Calculate the remainder when v is divided by d.
6
Let h(k) = -4*k + 2. What is the remainder when 39 is divided by h(-2)?
9
Let w = 67 + -10. What is the remainder when w is divided by 16?
9
Let c be 2/(-5)*(4 - -121). Let r = 75 + c. What is the remainder when r is divided by 13?
12
Let v(h) = h + 2. Let k be v(-7). What is the remainder when 65 is divided by k + (-6)/(-3) - -20?
14
Let p be 1/(-2) - 346/(-4). Suppose 4 = 3*a - p. What is the remainder when a is divided by (-98)/(-6) - 2/6?
14
Suppose -5*k + 3*z = 2, k + 7*z - 22 = 2*z. Suppose k*b - 23 - 2 = -n, -59 = -3*n - 2