Suppose 2*h = h + 5. Suppose 20 + 85 = h*n. Suppose -71 = -4*g + n. What is the remainder when 66 is divided by g?
20
Let g be -50*(-12)/(-8)*-1. Suppose 45 + g = 5*x. Suppose -2*c - m = -95, -3*c - 2*m = -8*c + 215. What is the remainder when c is divided by x?
21
Let r = -30 - -71. Let y(u) = -8*u + 199. Calculate the remainder when y(15) is divided by r.
38
Let o = 54 - 28. Let g = 167 - 153. What is the remainder when o is divided by g?
12
Let w(f) = -f**2 + f. Let x be w(5). Let s = -17 - x. Suppose s*m - 131 = -5*a - 3, 0 = -5*a - m + 136. What is the remainder when a is divided by 10?
8
Suppose 39 = -5*k - 11. Let q(h) = h**2 + 10*h + 11. Suppose -7*p = -1 - 125. Calculate the remainder when p is divided by q(k).
7
Suppose -48 = -14*w + 10*w. Calculate the remainder when 239 is divided by w.
11
Let t = -8 + 50. Suppose 0 = b - 3*b + 52. What is the remainder when t/(-4)*(-14)/3 is divided by b?
23
Suppose 4*w = -5*r + 153, -148 = -2*w - 2*w - 4*r. What is the remainder when w is divided by 1 + -1 + -3 - -10?
4
Let q(p) = 329*p + 0 - 332*p + 2. Calculate the remainder when 26 is divided by q(-5).
9
Let t = 23 + -13. Let l be 102/(-15) - (-3)/(-15). Let j = -3 - l. Calculate the remainder when t is divided by j.
2
What is the remainder when 368 + (-7)/(-6) + 1/(-6) is divided by 12?
9
Let l(g) = 85*g**2 - 2*g - 1. Let a be 4/6*12/(-8). Suppose -24*q = -28 - 668. What is the remainder when l(a) is divided by q?
28
Let d = -202 + 220. Calculate the remainder when 46 is divided by d.
10
Let v(t) = t**2 + 3*t + 1. Suppose 12 = -4*l + l. Let m be v(l). Suppose 5*s + m*r = 120, -4*s - 2*r = -0*r - 88. What is the remainder when 78 is divided by s?
18
Suppose -2*w + 7 = -1, -8 = 2*v - w. Let b be (-2)/(-2) + v + 1. Suppose 145 = -b*q + 5*q. What is the remainder when q is divided by 15?
14
Let u(j) = j**3 + 4*j**2 - 2*j + 3. Let h be u(-4). Let o = 16 - h. Suppose 0 = -5*l + 72 - 12. Calculate the remainder when l is divided by o.
2
What is the remainder when ((-1)/5 - 4 - -5)*5 is divided by 4?
0
Suppose -16*x + 425 = -71. Calculate the remainder when 66 is divided by x.
4
Suppose -48*j + 201 = -135. Let z = -3 + 6. Calculate the remainder when j is divided by z.
1
Suppose 0 = -4*w - 4 - 48. Let m = -7 - w. What is the remainder when 9 is divided by (-36)/m*1/(-2)?
0
Let n = -9 + 11. Suppose -x + n = k, 2*k + 0*k - 13 = -5*x. Suppose -16 = -x*f - s + 5, -4*f + 27 = s. Calculate the remainder when 22 is divided by f.
4
Let a(s) be the third derivative of s**6/120 + s**5/10 - 5*s**4/12 - 4*s**3/3 - 11*s**2. Calculate the remainder when 88 is divided by a(-7).
10
Suppose 2*l - 2*c + 132 = 376, -374 = -3*l - c. Let q = l - 49. Suppose 4*i = -i + q. What is the remainder when 42 is divided by i?
12
Let n(h) = -5*h**2 + 38*h - 7. Let r(t) = -t**3 + 13*t**2 + 15*t - 8. Let g be r(14). What is the remainder when 80 is divided by n(g)?
39
Let k(i) = 34*i - 34. What is the remainder when 269 is divided by k(3)?
65
Suppose 42 = 4*v + 2*x, 0 = 2*v + v - 5*x - 64. What is the remainder when 634 is divided by v?
10
What is the remainder when 315 is divided by (-6)/(-2)*(-4256)/(-399)?
27
Suppose 2*n + 25 = 93. What is the remainder when (-64)/(-20)*(-1 + 21) is divided by n?
30
Let s(z) = 3*z - 6. Let w be s(4). Let x be 29 - (-2 + 2 + -2). Suppose -q = w - x. Calculate the remainder when q is divided by 14.
11
Let i = 81 + -22. Let s = 6 + -3. Suppose -2*l = l + 2*q - 37, -s*q + 63 = 5*l. Calculate the remainder when i is divided by l.
14
Let n = 1 - -17. What is the remainder when 46 is divided by n?
10
Let a(i) = 0 - 2*i**3 - 1 + i - i**3. What is the remainder when a(-2) is divided by 11?
10
Let b(v) = -v**2 + v + 1. Let z be b(2). Let p be 8 + z + (-5 - -2). Suppose -p*a = a - 175. Calculate the remainder when a is divided by 19.
16
Let r = -149 + 223. Let g(v) = v. Let c(a) = -2*a - 5. Let z(d) = -c(d) - 4*g(d). What is the remainder when r is divided by z(-10)?
24
Suppose 63*z - 3*u + 23 = 64*z, 4*u - 84 = -4*z. Calculate the remainder when 84 is divided by z.
4
Suppose -8*f - 22 = -10*f. Suppose 4*g + 2*u + 210 = 0, g - 3*u + 54 = -2. Let w = g - -93. What is the remainder when w is divided by f?
7
Let p = 694 + -660. What is the remainder when 373 is divided by p?
33
Let g(s) = -s**3 + 6*s**2 - 2*s + 2. What is the remainder when 3/7 - (-6 + (-4496)/28) is divided by g(5)?
14
Suppose -4 = -y - 2. Let d(p) = p - p + 1 - 7*p**3 - y*p**2 - 5*p**3. Calculate the remainder when d(-1) is divided by 6.
5
Suppose 4*o + 4*h - 180 = 0, 3*h + 136 = 4*o - 23. Suppose 5*x - 15 = 2*x, -4*n = 2*x - o. What is the remainder when 14 is divided by n?
6
Calculate the remainder when (-1 - 9)*-8 - 7 is divided by 39.
34
Let l(f) = -f**2 + 6*f + 4. Calculate the remainder when 115 is divided by l(5).
7
Let i(v) = -9*v + 78. What is the remainder when 82 is divided by i(5)?
16
Let p(j) = j**2 + j + 3. Suppose 49 = -4*k + 2*s - 65, 54 = -2*k + 4*s. Let t = 71 + k. Calculate the remainder when t is divided by p(3).
12
Let q(z) = 2*z**2 - 15*z + 113. Calculate the remainder when q(7) is divided by 40.
26
Let m = 3183 + -3104. What is the remainder when m is divided by -15*(96/9)/(-4)?
39
Let a(y) = 7*y**2 + 12*y + 14. Calculate the remainder when a(-7) is divided by 12.
9
Suppose -5*f = -5, -4 - 6 = -i - 5*f. What is the remainder when (14/(-4))/(4/(-200)*i) is divided by 12?
11
Let y = 10 + -7. Calculate the remainder when (-6)/4*(-396)/27 is divided by y.
1
Suppose -2*h - q + 37 = -0*q, -h + q + 11 = 0. Let z be -1 + -2 + 99 + -3. Let u = z + -63. Calculate the remainder when u is divided by h.
14
Suppose -3*x + 12 = 0, x + x = v + 2. Let c = -28 - -50. Calculate the remainder when c is divided by v.
4
Suppose -3*x = 4*z - 162, -3*z + 2*x + 132 = 19. Let f = 9 + -5. Suppose f*y = 97 - 13. Calculate the remainder when z is divided by y.
18
Suppose -5*k + 20 = 0, -289 = -3*s + 50*k - 51*k. Calculate the remainder when 280 is divided by s.
90
Suppose 5*n = 2*w + 46, 0 = 4*n - w - w - 38. Calculate the remainder when n is divided by 3.
2
Suppose -495 = -5*r - 0*r - m, -2*r + 3*m + 215 = 0. Calculate the remainder when 34 is divided by 720/r + (-2)/10.
6
Suppose 0 = 9*b - 24*b + 480. What is the remainder when 221 is divided by b?
29
Let i be -296*((-5)/12 + 8/(-24)). Suppose 3*q - 4*a + 114 = 4*q, 2*q - i = -5*a. Calculate the remainder when q is divided by 9.
7
Calculate the remainder when (-6985)/(-25) + (-12)/30 is divided by 10.
9
Suppose -3*g = -339 - 3. Let x = -3040 + 3063. What is the remainder when g is divided by x?
22
Let n be (-26)/52 - 162/(-4). Calculate the remainder when (2/4)/(4/n) is divided by 4.
1
Let f = -68 - -72. What is the remainder when (48/f + 0)/(9/12) is divided by 11?
5
Calculate the remainder when 48/(-88) - 83398/(-154) is divided by 17.
14
Let l be 6 - 2/(-2) - 2. Suppose 0*o = l*o - 20. Let h(x) = -15*x**3 - 2*x**2 - 2*x - 1. What is the remainder when h(-1) is divided by o?
2
Suppose 7*m - 259 - 238 = 0. What is the remainder when m is divided by 42?
29
Let w(s) be the second derivative of -14/3*s**3 + 2*s + 0 + 1/2*s**2. Calculate the remainder when w(-2) is divided by 15.
12
Let r(j) be the second derivative of -3*j**3 - 2*j**2 + 5*j. Calculate the remainder when 62 is divided by r(-2).
30
Suppose -s - 3*d + 45 = 0, 5*d = 2*s - 50 - 62. Calculate the remainder when 209 is divided by s.
5
Suppose 315 = -15*i + 24*i. Suppose -3*f = -2*f - 18. What is the remainder when i is divided by f?
17
Let y = 990 + -766. What is the remainder when y is divided by 220?
4
Let u = 1 - -1. Suppose i + u*i - 6 = 0. Suppose r + 4*q - 75 = 22, 5*q - 206 = -i*r. What is the remainder when r is divided by 29?
26
Let a = -155 - -91. Let j = a + 77. Calculate the remainder when 77 is divided by j.
12
Let b be 1 + 1 + -2 + 0 + 0. Let d = 8 - b. What is the remainder when 45 is divided by d?
5
Let y(o) = o + 12. Suppose -4*b + 32 - 12 = 0. What is the remainder when y(9) is divided by b?
1
Let i(y) = -y**3 + 7*y**2 - 2*y + 1. Let h = 5 - -7. What is the remainder when i(5) is divided by h?
5
What is the remainder when (3 - 1)/((-11)/((-3223)/2)) is divided by 59?
57
Suppose -16*i + 69 = 5. Calculate the remainder when 37 is divided by i.
1
Calculate the remaind