der when f is divided by 9?
7
Suppose 230 = 5*y + 3*o, 0 = 5*y - 3*o - 2*o - 230. Calculate the remainder when y is divided by 18.
10
Let m be (-5)/(2/4 + -1 + 0). Suppose 6*l - m = 134. What is the remainder when l is divided by 5?
4
Let r be (-2)/(2*(-1)/(-5)). Let j = r - -5. Suppose -5 = -p + 2*p, j = q - 2*p - 18. Calculate the remainder when 13 is divided by q.
5
Let h = -29 - -31. Suppose h*d - 4*d + 10 = 0. Calculate the remainder when 13 is divided by d.
3
Let k be (-2)/9 + (-1072)/36. Let v be ((-24)/k)/((-2)/10). What is the remainder when (1 - 25/4)*v is divided by 6?
3
Let h(u) = -4*u + 3. Let y(c) = -c**2 - 21*c - 17. Let w(g) = -g**2 + 6*g + 12. Let n be w(9). Calculate the remainder when y(n) is divided by h(-4).
16
What is the remainder when 2/((-2)/(-54)*1) is divided by (-10 + 13)*55/15?
10
Let k = -557 - -569. Suppose -75 = 5*w - 2*p, -4*w + w - 64 = -5*p. Let v = 34 + w. What is the remainder when v is divided by k?
9
Suppose 12*c + 69 = 13*c - 2*d, 4*c - 286 = -2*d. Suppose -3*g + 88 = -4*z, -4*g - 5*z + 75 + 1 = 0. Calculate the remainder when c is divided by g.
23
Let h(z) = -12*z - 40. Calculate the remainder when 173 is divided by h(-7).
41
Let v(g) = 36 - g + 33 - 63. Let u be v(-5). Let q = u - -3. What is the remainder when 55 is divided by q?
13
Let x be (-20)/(-9) + 0 + 2/(-9). Calculate the remainder when 46 is divided by ((-4)/x)/(3/(-9)) - -2.
6
Suppose -7 = -c - 3. Suppose -3*g = -6*g. Suppose -t + 6*t - 60 = g. What is the remainder when t is divided by c?
0
Let h = -20 - -37. Calculate the remainder when h is divided by ((-1)/(-2))/(8/160).
7
Let s = -1 - -3. Suppose -s = 3*k + 28. Let i = k + 55. What is the remainder when i is divided by 16?
13
Let p(t) = 18*t**2 + 1. Suppose -6*s - 41 = -3*q - 2*s, 3*q = 5*s + 43. Calculate the remainder when p(-1) is divided by q.
8
Let i = -2090 + 2375. What is the remainder when i is divided by 103?
79
Let u be 4 - (85 - (0 + -2)). Let d = -75 - u. What is the remainder when 38 is divided by d?
6
Let v(y) = y**2 - 7*y + 59. Calculate the remainder when 133 is divided by v(0).
15
Let p(z) = -z**2 - 10*z + 9. Suppose 0 = -4*x - 5*j + 6, 0 = -x + 2*x - j - 6. What is the remainder when p(-8) is divided by x?
1
Let p be 4 - (-1 + 0 - -3). Suppose 2*o = p + 2. Suppose -34 + 0 = -o*f. Calculate the remainder when f is divided by 9.
8
Let q(r) = -r**3 + 8*r**2 + 10*r - 12. Let n be q(9). Let v(s) = -s**2 - 9*s - 7. What is the remainder when 74 is divided by v(n)?
8
Let i(f) = f**3 + 15*f**2 - 18*f - 19. Let t(x) = x**3 + 3*x**2 + x + 4. Let g be t(-4). Calculate the remainder when 25 is divided by i(g).
12
Let m(q) = -2*q**2 + 14*q - 1. Calculate the remainder when 100 is divided by m(2).
5
Let w be (-6)/2 - 208/(-4). Suppose -i + 3*o = i - w, 5*i - o = 129. Suppose -130 - 98 = -3*k. What is the remainder when k is divided by i?
24
Let w(a) = -a**2 + 37*a + 112. What is the remainder when w(25) is divided by 46?
44
Suppose -2*j - 10 = -3*j. Let d(r) be the third derivative of r**5/60 - 11*r**4/24 + 13*r**3/6 + 27*r**2. Calculate the remainder when d(13) is divided by j.
9
Let g = -46 - -72. Suppose 0*p + 5 = p. Suppose -i + 2*j - p*j = -14, 5*i = 2*j + 70. Calculate the remainder when g is divided by i.
12
Suppose 2*f - 2*a = -7 + 43, -5 = a. Let j = 0 + f. What is the remainder when 36 is divided by j?
10
Let s(n) = n**3 - 2*n**2 - 6*n + 1. What is the remainder when ((-21)/(-315) - (-2)/(-5))*-75 is divided by s(4)?
7
What is the remainder when 856/8 - (-12)/6 is divided by 29?
22
Let c(y) = -11*y + 1. Let s be (-10)/(-4) + 1/2. Let k be 4/8*-8 + s. Calculate the remainder when 46 is divided by c(k).
10
Suppose -z = -5*u + 20, z = u - 1 - 3. Suppose 0 = 2*m - u. Suppose -66 + 60 = -6*w. Calculate the remainder when m is divided by w.
0
Suppose 45*y - 4049 = -17*y + 1035. What is the remainder when y is divided by (-1)/((-2)/7)*6?
19
Let i be 240/(-108) + 4/18 + 9. Let u = 13 - 1. Suppose u = q - i. What is the remainder when 53 is divided by q?
15
Suppose 3*b - 6*b - 234 = 0. Let o = 93 + b. Calculate the remainder when o is divided by 8.
7
Let r = 128 - 21. Let n = r + -29. Calculate the remainder when n is divided by 16.
14
Let f be 0*(-3)/(-9) - -71. Let r = -143 - -173. Let z = r + f. What is the remainder when z is divided by 26?
23
Suppose 6*a = 50*j - 51*j + 125, -2*j = -4*a - 330. What is the remainder when j is divided by 53?
49
Suppose 0 = 3*p - 17 - 1. Let v = p - -2. Suppose 4*w - 34 = -2*u, -w = -3*u + 3*w + 41. Calculate the remainder when u is divided by v.
7
Suppose -11*m = -9*m - 102. Suppose -5*z + 126 = 2*y, 2*y = 2*z + 3*y - m. Let x = z - 15. Calculate the remainder when 42 is divided by x.
6
Suppose -12*x = -7*x - 200. Suppose -5*a + x = 5*y, -7*y = 5*a - 4*y - 44. Calculate the remainder when a is divided by 3.
1
Let c be 35*(-2 + (-24)/(-15)). Suppose -a - 125 = -4*h + 52, 5*a + 165 = 4*h. Calculate the remainder when h is divided by (24/(-28))/(1/c).
9
Suppose -2*v = -0*v + 10. Let p be 1 + -4 + (v - -4). Calculate the remainder when 70/p*16/(-10) is divided by 10.
8
Suppose 3*v = v. Let l(w) = -w**2 + 82. Suppose 0 = -80*f + 91*f - 308. Calculate the remainder when l(v) is divided by f.
26
Let o(s) = -s + 5. Suppose -1 = t - 4. Calculate the remainder when o(2) is divided by t.
0
Let q(s) = 13*s**2 + 3*s + 2. Suppose -5*t - 17 = -3*f, -3 = 3*f - 15. Let w be q(t). Let g = 3 + w. What is the remainder when g is divided by 8?
7
Let k(v) = 2*v**3 + 17*v**2 + 8*v + 3. Let d be k(-8). Calculate the remainder when ((-238)/(-5))/((d/5)/3) is divided by 30.
28
Suppose 2*m + 201 = 4*r - 23, -4*m - 70 = -r. Calculate the remainder when 483 is divided by r.
51
Let k be 10/3 - 4/12 - -1. Let i(a) = -26*a + 1. What is the remainder when i(-2) is divided by -1 + (-116)/k*-1?
25
Let w = -15 + 26. Calculate the remainder when (10 - 46/4) + (-83)/(-2) is divided by w.
7
Let l(x) = -x + 59. Suppose 4*k - 20 = 2*k. What is the remainder when l(1) is divided by k?
8
Let a(k) be the first derivative of k**4/4 + 5*k**3/3 + 2*k - 3. Let v be a(-5). Suppose -m + v = -44. What is the remainder when m is divided by 12?
10
Let f be (-6)/(-21) - 141/(-21). Calculate the remainder when 38 is divided by (f + 13)*2/4.
8
What is the remainder when 348 is divided by (89 - -2) + (-37 - -31)?
8
Let m(n) = -13*n**2 + 3*n - 5. Let d(x) = 14*x**2 - 4*x + 6. Let r(z) = -3*d(z) - 4*m(z). What is the remainder when r(2) is divided by 24?
18
Suppose -u = -5*h + 23, -5*h = -0*h - 25. Let d = -12 + 13. Calculate the remainder when (1 - 0)/(d/5) is divided by u.
1
Let y(d) = 6*d**2 - 2*d + 1 - 3*d + d + 3*d. Let h be y(1). Suppose -u = -h - 9. What is the remainder when u is divided by 6?
3
Let w(x) = -x**3 - 13*x**2 - 10*x - 15. Let f be w(-12). Let k = -3 - f. Calculate the remainder when k is divided by 13.
10
Let o(z) = -3 + 2*z - 3 + 0 - 6*z. What is the remainder when 7 is divided by o(-2)?
1
Let u(v) = -53*v - 8. Let c be u(-3). Suppose c*i - 1 = 150*i. What is the remainder when 5 is divided by i?
0
Let i = 5 + -3. Suppose 7*n - i*n - 55 = 0. Calculate the remainder when 0 + -4 + (55 - (4 + -7)) is divided by n.
10
Suppose 114*t - 32 = 115*t. What is the remainder when t/(-192) - (-143)/6 is divided by 17?
7
Let d(o) = 2*o**2 + 5*o + 1389. What is the remainder when d(0) is divided by 16?
13
Let d = 69 + -45. Suppose 44*r = 514 + 1422. Calculate the remainder when r is divided by d.
20
Suppose 55 - 7 = 4*z. What is the remainder when 3*6/4*400/z is divided by 39?
33
Suppose -4*g = 72*x - 76*x + 1640, 0 = x - 4*g - 422. Calculate the remainder when x is divided by 41.
37
Suppose 2*k = 9*a - 5*a + 40, 0 = 5*k + 3*a - 139. What is the remainder when 123 is divided by k?
19
Let s(l) = -l**2 + 4. Suppose f - 1 = k, -4*k - 12 = -k. Let q be s(f). What is the remainder when 28 is divided by q/(3 + (-14)/4)?
8
Let h(c) = -2*c**3 + 40*c**2 - 40*c + 102. What is the remainder when 764 is divided by h(19)?
60
Let y be 1 - 4 - -4 - -1. Suppose 2*w + 16 = -y*w. What is the remainder when 4 - w/(4 + 0) is divided by 2?
1
Let b(k) = 15*k**3 - k**2 + k - 1. Let m(g) = g**3 + 2*g**2 - g + 3. What is the remainder when b(1) is divided by m(-2)?
4
Suppose 2*l = -l + 6. Let r = 3 + l. Let f = 24 +