der when i(151) is divided by x.
56
Suppose -u - 200 = -6*u. Suppose 0 = -13*g + 8*g - u. Calculate the remainder when 107 is divided by -10*14/g - (-9)/18.
17
Let o be 3*(-39)/(-9)*-1. Let p = 34 + o. Let u(l) = 7*l + 52. Calculate the remainder when p is divided by u(-7).
0
Suppose -5*r + 260 = 38*j - 40*j, j + 260 = 5*r. What is the remainder when 4886 is divided by r?
50
Let i = -11716 + 11899. What is the remainder when i is divided by 39?
27
Let b be -11 - -114 - (-2)/2. Let f be (-2)/(-15) - b/(-120). Suppose 0 = 3*p + 4*n - 83, 0 = -n - f. Calculate the remainder when 84 is divided by p.
26
Let m = -2919 + 3004. Calculate the remainder when m is divided by 20.
5
Calculate the remainder when 305 is divided by (4/(-1))/((-4)/64).
49
Suppose -2*f + 16 = -f - s, 4*s = 0. Calculate the remainder when 123 - (746/1119)/((-2)/(-6) - 0) is divided by f.
9
Suppose 176*q = 239*q - 20349. Calculate the remainder when q is divided by 126.
71
Suppose 0 = 4*q - 279 - 1093. Suppose 0 = 3*k + 2*x + 115 + q, 2*k - 2*x = -322. What is the remainder when 107 is divided by -1*(k/7 - (-10)/35)?
19
Let h = -83 - -81. What is the remainder when 219 is divided by (-9)/3 - -2 - (h + -31)?
27
Suppose -53*i = 3*k - 58*i - 490, -4 = -4*i. What is the remainder when k is divided by 32?
5
Let a(s) = -3*s - 18. Let w(c) = 4*c + 19. Let u(x) = -5*a(x) - 4*w(x). What is the remainder when u(-7) is divided by 15?
6
Suppose 0*d + d - 13 = 0. Suppose -d*o = -15*o - 32. Let j = o - -35. Calculate the remainder when 48 is divided by j.
10
Let i be (-6 + 3)/(-2 + (-87)/(-45)). Let p = 72 - i. What is the remainder when 115 is divided by p?
7
Suppose 2*a - 389 = 4*s - a, 4*s - 2*a + 386 = 0. Let f = -2152 + 2201. What is the remainder when s/(-1) - (0 + -1) is divided by f?
47
Let g(f) = 3*f**2 - 12*f + 3. Let y be g(6). Suppose 6 = -3*h - y. Let q(k) = k**3 + 15*k**2 - 2*k - 26. Calculate the remainder when 6 is divided by q(h).
2
Let c be 4*-3*51/(-36). Let n(m) = m**3 - 4*m**2 - 5*m + 14. Let k be n(5). Let l = k + c. What is the remainder when l is divided by 11?
9
Let y(o) = 2*o**3 - 47*o**2 + 41*o - 215. What is the remainder when y(23) is divided by 59?
22
Let b be 10/8 + (-6)/(-8). Suppose -b*v = -2*x + 18, -19 = -3*v - 4. Let p = -84 - -166. Calculate the remainder when p is divided by x.
12
Suppose -2*i + 68 = 2*c, -c + 2*i + 191 = 4*c. Let h = -125 - -49. Let v = h - -84. Calculate the remainder when c is divided by v.
5
Let n = -5447 + 5477. Let t(k) = 13*k - 9. Calculate the remainder when n is divided by t(3).
0
Suppose 5*k - 2*k - 72 = 0. Suppose a = 3*q - 3*a - 29, -2*q = -3*a - 19. Calculate the remainder when k is divided by q.
2
Suppose -5*s = -3*s - 4. Suppose -s*t = -4*k + 76 - 4, -5*k + t + 93 = 0. What is the remainder when k is divided by 9?
1
Suppose 5*x - 55 = -0. Let v(w) = 33*w - 71. Calculate the remainder when v(3) is divided by x.
6
Suppose 0 = 23*o - 27*o + 1784. Calculate the remainder when o is divided by 156.
134
Suppose -52*y + 53*y - 296 = 2*f, 284 = y - 5*f. What is the remainder when y is divided by 18?
16
Suppose -239*v + 7660 = 146*v - 2*v. What is the remainder when (-2)/2 + (256 - -1) is divided by v?
16
Let v(w) = -w**2 + w - 1. Let s be v(2). What is the remainder when 14/42*(-252)/(-12) is divided by 1/s*-1*18?
1
Suppose -24 = l - 5*u, 0 = 5*u - 25 - 0. Suppose z - 3*v + 5 = l, -2 = v. Calculate the remainder when 14 is divided by 9/2 - (-5)/z.
2
Let x(c) = -c**2 - 22*c + 14. Let y be x(6). Let s = 192 + y. What is the remainder when 70 is divided by s?
32
Suppose 2205*z - 775 = 2200*z. What is the remainder when z is divided by 87?
68
Suppose 248*v = 252*v - 8. Suppose -5*d = v*o - 98, 4*o - 8 - 8 = 0. Calculate the remainder when 45 is divided by d.
9
Let f(m) be the second derivative of m**5/20 - 11*m**4/12 + 8*m**3/3 - 3*m**2/2 - 288*m. What is the remainder when f(11) is divided by 58?
57
Suppose -11*t = -15*t + 56. Calculate the remainder when 163 is divided by (-4*(-5)/(-25))/(t/(-665)).
11
What is the remainder when 4241 is divided by 4226/((-31)/(403/(-26)))?
15
Suppose 294 = h + 4*q, -h - 130*q + 303 = -135*q. What is the remainder when h is divided by 151?
147
Suppose -p = -v - 18807 + 18786, 0 = p + 4*v - 51. Suppose 400 = c + 3*c. Calculate the remainder when c is divided by p.
19
Let o(r) = -148*r + 3265. What is the remainder when 473 is divided by o(22)?
5
Suppose 884 = 5*z - 4*h + 6*h, 5*h = 10. Let n = z + -158. Suppose 2*a + 3*a = 255. Calculate the remainder when a is divided by n.
15
Let a(s) = s**2 + s - 13. Let f(x) = -x**2 - 10*x - 10. Let w be f(-2). Calculate the remainder when 170 is divided by a(w).
25
Suppose -131*f = -121*f + 120. Calculate the remainder when f + (-40)/(-8) + 19 is divided by 6.
0
Let g = 81916 + -81780. Calculate the remainder when g is divided by (-1 - 41)/((-9)/6).
24
Suppose 17*l - 19*l - 3*f + 103 = 0, -2*f - 109 = -3*l. What is the remainder when 157 is divided by l?
34
Suppose 0*b + 40 = 4*b. Let z = -70 - -126. Suppose -4*t = -11*t + z. What is the remainder when b is divided by t?
2
Suppose 0 = -3*x - 3*j + 78, 2*x - 5*j + 88 = 5*x. Suppose 2*g + 8 = -0. What is the remainder when 1/(-10)*g - (-1194)/15 is divided by x?
17
Suppose -25*t + 24*t + 3*r = -165, 4*t = -r + 686. Calculate the remainder when t is divided by 64.
43
Let p = -114 - -249. Suppose 0 = 3*c - m - 178, -3*c - 7*m + 158 = -3*m. What is the remainder when c is divided by (p/(-36))/((-3)/12)?
13
Let l(p) = 6 + 2*p - 5*p - 7*p**2 - 23*p**2 - 2. Let r be l(1). Let q = r - -44. Calculate the remainder when 27 is divided by q.
12
Let u(m) = 194*m - 579. Let n = -34 - -84. Calculate the remainder when u(4) is divided by n.
47
Suppose -15*r + 128 = -7*r. Suppose 888 = -8*c + r*c. Suppose 4*j = -3*g + 37, -2*g + 3*j + 21 = -32. Calculate the remainder when c is divided by g.
16
Let y be (-2 - 9/(-2))*2. Let u(n) = 28*n + 33. Let r be u(-1). Suppose -y*g - r*i = -g - 53, 32 = 3*g - 4*i. What is the remainder when 70 is divided by g?
10
Suppose -31*l + 166 = -20. Suppose -4*f - 5*z = -102, -2*f - l*z + 5*z = -48. What is the remainder when 57 is divided by f?
11
Suppose -4*d = 6 - 22. Suppose -35 = -5*i + 5*l, 4*l - 80 = d*i - 9*i. Calculate the remainder when i is divided by 5/(28/(-8) + 4).
2
Suppose -f - 2*y - 554 = f, 2*f - 3*y + 564 = 0. Let j = 357 + f. What is the remainder when j is divided by 16?
14
Let z = -19 + 30. Suppose 0 = 37*t - 3173 + 657. Suppose -5*p - 18 = -5*k - t, 3*k + 18 = p. Calculate the remainder when z is divided by p.
5
Let f(v) = 411*v**2 - 83*v - 84. Calculate the remainder when f(-1) is divided by 15.
5
Suppose 0 = 3*x - 39 - 66. What is the remainder when -5 + (1014/(-24))/(-13)*32 is divided by x?
29
Let j(r) = -r**3 - 6*r**2 - 12*r - 10. Let u(o) = -o**2 - 6*o + 13. Calculate the remainder when j(-5) is divided by u(-6).
12
Let o = 128 - 184. Let d = -58 - o. Let f(a) = 20*a**2 - 5. What is the remainder when f(d) is divided by 13?
10
Let f(b) = 3*b**2 - 56*b - 765. Let a be ((-2)/6)/((-3)/9). Calculate the remainder when 2 - a/(2/(-140)) is divided by f(28).
15
Let n(q) = 9*q**2 - 38*q + 36. What is the remainder when n(8) is divided by 53?
43
Let z(p) = 24*p**2 - 41*p - 39. What is the remainder when 404 is divided by z(-1)?
14
Let u = 227 - 159. Suppose m + u = 3*s, 0 = s - 4*s - m + 58. What is the remainder when s is divided by 18?
3
Let h(a) = a**3 + 10*a**2 + 15*a + 20. Let m be h(-7). Suppose -124 = -4*u + z, -5*u - 4*z = -7*u + m. What is the remainder when 88 is divided by u?
26
Suppose 0 = 9*v - 46*v - 68884 + 455497. Calculate the remainder when v is divided by 19.
18
Let w be 26/10 + 10/25 + 180. Suppose -w = -17*y + 38. What is the remainder when 258 is divided by y?
11
Let g(y) = -377*y - 85. Let w be g(-3). Suppose -1088 = -22*m + w. Calculate the remainder when m is divided by 52.
45
Let s(p) = 3*p**2 + 2*p - 5. Calculate the remainder when (-222)/(-5) - ((-224)/(-80))/7 is divided by s(3).
16
What is the remainder when 3147 is divided by (1 - -8)/(150/750)?
42
Suppose -4*c = -3*l - 5445, l = -42*c + 37*c + 6830. Calculate the remainder when 4098 is divided by c.
3
Suppose 8*q - 8 = 6*q. Suppose 6*g - q*g - 66 = 0. Calculate the remainder when g is divided by 1/4