pose 0 = -y + 5*y + 4. Suppose -9*f = -11*f + 22. Calculate the remainder when 45 is divided by 2 + f - (y - 2).
13
Suppose -65*s + 359 = -681. What is the remainder when 542 is divided by s?
14
Let k(v) = 29*v + 806. Suppose 5*f - 22 = 2*l, -4*l + 0*f + 4 = 2*f. Let u(b) = -6*b**3. What is the remainder when k(-27) is divided by u(l)?
5
Suppose 0 = -3*h - 24 - 24. Let s = -18 - h. What is the remainder when (-15)/s*28/6 is divided by 19?
16
Suppose -1 = -3*x - 70. Let c = 26 + x. Suppose -81 = -4*u + u + c*t, t = -3. Calculate the remainder when 71 is divided by u.
23
Let a(q) = -10*q. Suppose -117 = 183*n - 186*n. Calculate the remainder when n is divided by a(-2).
19
Suppose 0*q - 44 = -4*q. Suppose -15*s - 364 - 852 = -79*s. What is the remainder when s is divided by q?
8
Let a(o) = -3 + 3 - 15*o. Let l be a(-2). Suppose -2*x + l + 18 = 0. Calculate the remainder when 70 is divided by x.
22
Let d be ((-2)/(-6))/(40/12 + -3). What is the remainder when (4/12)/(d/111) is divided by 10?
7
Suppose 11*p - 93 = 8*p. Calculate the remainder when 89 is divided by p.
27
Let r(n) = -n**3 + 13*n**2 - 14*n - 3. Suppose -4*c - 16 + 60 = 0. Let a be r(c). Suppose -5*m + a + 70 = 0. What is the remainder when 123 is divided by m?
30
Let r = -371 + 463. What is the remainder when r is divided by 50?
42
Let n(f) = -4*f**2 + f + 2. Let j be n(2). Let q be (-8)/6*18/j. Calculate the remainder when (q - (-15)/(-3)) + 26 is divided by 12.
11
Suppose -4*v - 5*c + 47 = 0, 0*v - 51 = -2*v + 3*c. Let y = -18 + v. Suppose 51 + y = 3*n. What is the remainder when 32 is divided by n?
15
Let k(f) = -22*f - 20. Let y = -6 - -11. Let v(a) = -11*a - 10. Let i(l) = y*v(l) - 2*k(l). What is the remainder when i(-5) is divided by 12?
9
Let q(m) = 10*m + 82. Let j be q(-8). Suppose -j*k + 16 = -62. Calculate the remainder when k is divided by 20.
19
Let s = -41 + 46. Let n(p) = p**3 - 7*p**2 + 11*p + 4. Calculate the remainder when 29 is divided by n(s).
2
Calculate the remainder when 67 is divided by ((-24)/8 + 19)*(-6)/(-4).
19
Let g = 4 + -2. Suppose 2*y - 3 = -3*v, g*v + 3 = v. Let h = -477 + 506. What is the remainder when h is divided by y?
5
Suppose 17*m = 6*m + 858. Suppose -o - m = -4*o. Calculate the remainder when 49 is divided by o.
23
Suppose 3*m = 3, -4*m - 59 = -5*j + 62. Calculate the remainder when 6 - (2/(-10) - 10170/150) is divided by j.
24
Suppose 5*b - 574 = 116. What is the remainder when b is divided by -2*(2 + 0) - 39*-1?
33
Let y = -116 + 202. Suppose 8 = g - 14. What is the remainder when y is divided by g?
20
Let d(f) = 30*f + 207. Let l = 22 + -12. What is the remainder when d(-6) is divided by l?
7
Suppose d + 2*h + 2 = 0, -2*d - 3*h = -2*h + 19. Let r(k) = 7*k**3 - k + 2. Let x be r(1). What is the remainder when (x/d)/((-2)/33) is divided by 4?
3
Let d be (10/(-3))/(-1*3/162). Suppose g - 43 - d = 0. Calculate the remainder when g is divided by 32.
31
Suppose 3*x - 42 = 21. Calculate the remainder when (-12 - -53)*1*1 is divided by x.
20
Let w(q) = -q**2 + 33*q + 45. What is the remainder when 12 is divided by w(34)?
1
Suppose 5*w - 146 = 3*j, -3*w - 2*w + 4*j = -148. What is the remainder when -2*(4 - (-225)/(-10)) - 0 is divided by w?
9
Suppose -2*p - 198 = p. Let z = -58 - -163. Let t = p + z. What is the remainder when t is divided by 20?
19
What is the remainder when 113 is divided by (-9849)/(-189) + (-2)/(2 + 16)?
9
Let l(x) = -168*x + 2. Let f be l(-3). Let u = -361 + f. Calculate the remainder when u is divided by 49.
47
Suppose 2*q = 6*q. Suppose 0 = 4*n - q*l - 3*l - 109, n - l - 28 = 0. Calculate the remainder when n is divided by 13.
12
Suppose 4*f - 34 = 3*f. What is the remainder when f is divided by (-50)/(-4) + 1/(-2)?
10
Let s be (1 + -1)/(7 + -5). Suppose s = -4*c - 2*c + 30. Suppose -4 = -3*d + 2*q + 7, 2*d + 3*q - 29 = 0. What is the remainder when d is divided by c?
2
Let w = -576 + 579. Calculate the remainder when 286 is divided by w.
1
Let q = -44 + 60. Suppose 2*c = -4*w + 104, 104 = 2*w + w - 5*c. What is the remainder when w is divided by q?
12
Suppose -3*v + 24 - 69 = 0. What is the remainder when 18 is divided by (-111)/v - (-10)/(-25)?
4
Suppose -5*b + 600 = 9*l - 7*l, -3*b - 5*l = -341. Calculate the remainder when b is divided by 9.
5
Suppose 26*g = 146 + 504. What is the remainder when 62 is divided by g?
12
Let x(k) = 3*k**2 + 46*k + 147. Let r(i) = -i**3 - 4*i**2 - 2*i - 4. What is the remainder when x(-4) is divided by r(-4)?
3
Let j(z) = 3*z**2 - 3*z - 12. What is the remainder when 153 is divided by j(-4)?
9
Suppose 29*q - 9867 = -4*q. Calculate the remainder when q is divided by 75.
74
Calculate the remainder when (-24 - 138)*((-8)/6)/4 is divided by 3.
0
Let y(l) = -73*l**2 + 5*l + 5. Let o(m) = -366*m**2 + 24*m + 24. Let z(k) = -3*o(k) + 14*y(k). What is the remainder when z(-1) is divided by 26?
24
Let c be -6 + 21 + -1 + 1. Suppose -4*m = -43 + c. Let p(k) = -k**2 - 2*k + 3. What is the remainder when m is divided by p(0)?
1
Let k = -7 - -13. Suppose 0 = -i + 6 + k. What is the remainder when 41 is divided by i?
5
Let m = 18 - -38. Calculate the remainder when m is divided by 3/(-2)*(-52)/6.
4
Let f(u) = -23*u - 740. Calculate the remainder when 40 is divided by f(-33).
2
Let f = 14 + -9. Suppose 6*t + 0*t = 0. Suppose -2*a + v + 15 = t, 2*a - 5*v = 16 - 5. What is the remainder when a is divided by f?
3
Let r = -1973 + 2009. Calculate the remainder when r is divided by 19.
17
Suppose -2*n + 0*n + 2*l + 120 = 0, -4*n - 4*l + 224 = 0. Let a be (-16)/(-12)*12/16. What is the remainder when n is divided by (-45)/(a*(-12)/8)?
28
Let l(x) = x**3 - x**2 + 6. Suppose 3*z - 35 + 35 = 0. What is the remainder when 29 is divided by l(z)?
5
Let j(k) = k**3 + 6*k**2 + 5*k - 4. Let q be j(-5). What is the remainder when ((-5220)/464)/(-1*2/8) is divided by (q/10)/(2/(-60))?
9
What is the remainder when 683 is divided by 28 + 25*16/(-40)?
17
Let g = 33 + -5. Suppose -206*h + 165 = -203*h. What is the remainder when h is divided by g?
27
Let w = 10 + 28. Let c = 20 - 16. Suppose -c*b + 3*b = -13. Calculate the remainder when w is divided by b.
12
Suppose 92*v - 88*v + r = 10633, 13289 = 5*v + 2*r. Calculate the remainder when v is divided by 95.
94
Let q(i) = 75*i**3 + i**2 - i - 1. Let c be q(-1). Suppose 0 = 8*x - x + 91. Let t = x - c. Calculate the remainder when t is divided by 16.
13
Suppose 2*y = -3*y - 10, 0 = x + 5*y - 241. What is the remainder when x is divided by 37?
29
Let a(s) = s**3 - 3*s**2 + 3*s. Let i be a(2). Suppose 2*b - i = b. Suppose 3*o - 43 = b*o. Calculate the remainder when o is divided by 11.
10
Let k(w) be the first derivative of -w**3/3 + 9*w**2 + 43*w + 45. Calculate the remainder when k(15) is divided by 13.
10
Suppose 0 = -7*t + 12*t - 215. What is the remainder when 213 is divided by t?
41
What is the remainder when 592 is divided by -255*((-175)/21 - -8)?
82
Let d = 18 - 14. Suppose 9 - d = 5*o. Let i(a) = a**3 - a**2 + 1. Calculate the remainder when i(0) is divided by o.
0
What is the remainder when (-13 - -2)/(3/(-21)) is divided by 30?
17
Let x(l) = l + 4. Let p be x(0). Suppose 4*f - 2*y - 22 = y, 3*y - 34 = -p*f. Calculate the remainder when 21 is divided by f.
0
Let v(t) = -t**3 - 5*t**2 + 3*t - 2. Suppose -3*r - 2*w + 139 + 99 = 0, -2*r - 5*w = -177. Let k = -50 + r. Calculate the remainder when k is divided by v(-6).
10
Calculate the remainder when 459 is divided by (-230)/(-4)*40/50.
45
Calculate the remainder when (1005/10)/((-5)/(-20)) is divided by 81.
78
What is the remainder when -6 - (-139 + -14 + 8) is divided by 14?
13
Suppose -14*n + 561 - 15 = 0. Calculate the remainder when 186 is divided by n.
30
Let d = -440 - -733. Let z = d - 169. What is the remainder when z is divided by 42?
40
Let x(n) = n**3 + 35*n**2 - 41*n - 141. What is the remainder when (-4)/10 + (-3048)/(-20) is divided by x(-36)?
35
Let s(z) = 17*z**2 + z - 1. Let d = -37 + 34. Let f(w) = -7*w - 4. What is the remainder when s(-2) is divided by f(d)?
14
Let x be 66/(-15) + 6/15. Let n = x + 6. Suppose -n = -u + 10. What is the remainder when 21 is divided by u?
9
Suppose 80*q = 87*q - 273. Calculate the remainder when q is divided by 20.
19
Let r(v) = 3*v**3 + v**2 - v. Let d be r(1). Suppo