et z be (-9)/6*(-4)/(-6). What is the remainder when (-3)/(-6)*z*-46 is divided by 30*((-4)/(-10) - 0)?
11
Let c(u) = u**3 - 13*u**2 + u - 7. What is the remainder when 209 is divided by c(13)?
5
What is the remainder when 77 is divided by 1/((-448)/(-147) - 3)?
14
Suppose z = -0*z + 2*z. Calculate the remainder when (3 + z)/((2/(-7))/(-2)) is divided by 11.
10
Let w = 53 - 32. Let q be ((-24)/w)/(12/(-42)). Suppose 3*a - q*a + 88 = 0. Calculate the remainder when a is divided by 23.
19
Let i = 587 - 404. What is the remainder when i is divided by ((-185)/(-15))/(1/3)?
35
Let n(f) = -f**3 - f**2 - f + 27. Let u be -3 + -2 + (460 - 3). Calculate the remainder when 2*(u/8 - 3) is divided by n(0).
26
Suppose 205*z = 214*z - 567. What is the remainder when z is divided by 2*1 + (-80)/(-4)?
19
Let f(q) = 14*q + 7. Let v = 294 - 248. Calculate the remainder when f(6) is divided by v.
45
Suppose 4*b - 809 = -3*y, y - 1012 = -5*b - 3*y. What is the remainder when b is divided by 53?
41
Let d = -729 + 832. What is the remainder when 210 is divided by d?
4
What is the remainder when 70 is divided by (-392)/(-22) - 54/(-297)?
16
Let w be 1/2 - (-26)/4. Let m = -130 + 143. Let q = m - w. What is the remainder when 10 is divided by q?
4
Suppose 2*m = j + 414, 3*m - j - 618 = 2*j. Let t = m + -121. Let y = -29 - -52. Calculate the remainder when t is divided by y.
18
Suppose 4*o + 6 = -14. Let v(d) = d + 8. Let u(s) = 4. Let r(a) = o*u(a) + 3*v(a). What is the remainder when r(7) is divided by 7?
4
Let w(o) = o + 12. Let b be w(-5). Suppose -b*s + 146 + 183 = 0. Calculate the remainder when 138 is divided by s.
44
Let q(a) = 2 + 3*a**2 - 4*a**2 + 3*a**2 - 4*a. What is the remainder when ((-10)/3)/((-125)/75) is divided by q(2)?
0
Let w(i) = 24*i**2 - 6*i + 1. What is the remainder when w(4) is divided by 33?
31
Suppose -130 = 4*s - 170. Calculate the remainder when s is divided by 2.
0
Let j(k) = k**3 + 11*k**2 + 8*k - 5. Suppose 0 = -4*o + 6 + 6. Suppose -o*b - 4 = r, -4 - 2 = -3*b. Calculate the remainder when 42 is divided by j(r).
12
Suppose -i = -2*s + 142, 38*s - 3*i = 40*s - 158. What is the remainder when 280 is divided by s?
61
Suppose -t + 35 = -4*a, 11*t - 15*t + 2*a = -70. What is the remainder when 824 is divided by t?
14
Let a be 18/(-12) + 569/(-2). Calculate the remainder when a/(-6) + 2 + 4/12 is divided by 17.
16
Suppose 2*r = 3*f - 212, -3*f - 72 = -4*f + r. Calculate the remainder when 201 is divided by f.
65
Let r = 1178 - 1062. What is the remainder when 235 is divided by r?
3
Let p be 4/(-2) + (2 - 1) - -11. Calculate the remainder when (p/(-6))/((4 + -6)/6) is divided by 2.
1
Suppose -y - 6 = -4*v + v, -2*y - 4*v = -18. Suppose -2*c + 90 = g, -y*c + 4*g = -185 + 72. What is the remainder when c is divided by 0 + (0 + 11 - 0)?
10
Let l(m) = -m**2 - 3*m + 108. Calculate the remainder when 375 is divided by l(-10).
33
Let q(m) = -m**2 - 7*m - 6. Let k be q(-6). Suppose -4*g + 49 = 5*l - k*g, -g - 26 = -3*l. What is the remainder when (-152)/(-11) - 8/(-44) is divided by l?
5
Let b = 178 - 153. Suppose 23*v + 16 = b*v. Calculate the remainder when 17 is divided by v.
1
Let y be (6/(-9))/(((-10)/(-6))/5). Calculate the remainder when 69 is divided by -86*(-2)/12 - y/3.
9
What is the remainder when (-365)/(-15) + 2/(-6) is divided by 2?
0
Let p(d) be the third derivative of -d**4/24 + 13*d**3/6 - 2*d**2. Let n be 4*(-28)/(-16)*-1. What is the remainder when 79 is divided by p(n)?
19
Let k = -326 - -340. Suppose 2*f + h - 49 = 0, -3*f + h = -4*h - 80. Calculate the remainder when f is divided by k.
11
Let f = -152 - -152. Suppose f = 7*r - 185 - 25. What is the remainder when 177 is divided by r?
27
Suppose 672 = -8*w + 56*w. Calculate the remainder when 79 - (-4 + 2 + 0) is divided by w.
11
Let c(k) = 10*k - 32. Let v(s) = 9*s - 33. Let b(g) = 4*c(g) - 5*v(g). Calculate the remainder when 41 is divided by b(6).
6
Let n = 686 + -670. Suppose -35 = -r + 24. Calculate the remainder when r is divided by n.
11
Suppose 40*v - 2*l - 186 = 35*v, l = v - 36. Calculate the remainder when 42 is divided by v.
4
Let z(i) = -4*i + 15*i - i**2 - 5 - 12. What is the remainder when 29 is divided by z(7)?
7
What is the remainder when ((-217)/(-28) + -4)*24 is divided by 33?
24
Suppose 0 = -5*r - 4*t - 28, 0*t - 2*t + 30 = -3*r. Let f = r + -11. Let w = -11 - f. Calculate the remainder when 13 is divided by w.
5
Suppose 73 + 79 = 4*w. Suppose -h = -w + 16. Let s(m) = 78*m + 553. What is the remainder when s(-6) is divided by h?
19
Suppose -4*u + 0*u + 12 = 4*y, 0 = -5*y - 4*u + 19. Let c = 11 - y. Suppose -k + 50 = c*k. Calculate the remainder when 27 is divided by k.
7
Let y(r) = r**2 + 5*r - 29. Suppose 3*n = 1 - 19. Let k = n - -12. What is the remainder when y(-10) is divided by k?
3
Let d(j) = 478*j - 729. Calculate the remainder when d(3) is divided by 34.
25
Let q(a) = -3*a - 52. Let b be q(-17). Calculate the remainder when 26 is divided by (25 + -42)/(b/1).
9
Suppose 3 = 3*h + 4*n - 8*n, -4*h = 5*n - 35. What is the remainder when 18 is divided by h?
3
Let v(c) = -25*c - 4. Suppose -5*q + 4*g + 425 = 0, -7*q = -3*q + 2*g - 366. Calculate the remainder when q is divided by v(-2).
43
Suppose -4*k + 2*b + 7 + 11 = 0, -4*k - 8*b = -28. Calculate the remainder when 85 is divided by k.
0
Suppose 0 = 705*s - 687*s - 180. What is the remainder when 2547 is divided by s?
7
Let u = -50 + 89. Let v(i) = 10*i**3 + i**2 - 4. Let h(d) = 10*d**3 + d**2 - 3. Let p(z) = 3*h(z) - 2*v(z). Calculate the remainder when u is divided by p(1).
9
Suppose 28*c - 25*c - 105 = 0. Suppose 2*b + 4*u - 30 = 0, 3*b - u = -5*u + c. Calculate the remainder when 22 is divided by b.
2
Suppose -3*t = p - 40, -3*p + 77 = 5*t + 9. Let c(i) = i + 6. Let d be c(-3). Suppose -96 = -d*v - v. What is the remainder when v is divided by t?
11
Let d = -7 + 93. Suppose 3*v + d = 29. Let s = 51 + v. Calculate the remainder when s is divided by 11.
10
Suppose -5*u + 8*s - 9*s = -98, -3*s = -3*u + 48. Calculate the remainder when 89 is divided by u.
13
Let z = -17 - -23. Let t = 8 + 65. Calculate the remainder when t is divided by 0 - ((-81)/6 - z/4).
13
Let x(w) = -28*w + 2. Let k be x(-1). Suppose -26*n - 284 = -k*n. Calculate the remainder when n is divided by 12.
11
Let j = -20 + 22. Suppose 4*n - 23 = -a, -2*n - a + 7 = -j. What is the remainder when n is divided by 3?
1
Let q(w) = w + 24. What is the remainder when 228 is divided by q(-3)?
18
Suppose 270 = 3*v - 2*p, -2*v + 5*p + 83 = -86. What is the remainder when v is divided by 0 - 1 - (-25 - 0)?
20
Let z(c) = -59*c - 74. Calculate the remainder when z(-4) is divided by 51.
9
Let m(o) be the first derivative of 5 + 2*o**3 - 7/2*o**2 + 1/4*o**4 - o. Calculate the remainder when m(-6) is divided by 21.
20
Suppose 0*t - 5*t + 20 = 0. Suppose 0*b - 16 = -t*b. Calculate the remainder when 7/((2 + 0)/b) is divided by 4.
2
Suppose -27*q + 14*q = -1170. Calculate the remainder when q is divided by 16.
10
Let n(k) = -10*k + 9. Let u(i) = -21*i + 19. Let p(w) = -9*n(w) + 4*u(w). Calculate the remainder when p(4) is divided by 11.
8
Suppose 3*v - 94 = -m, -47*m - 5*v = -46*m - 100. Calculate the remainder when m is divided by 22.
19
Let w(i) = i**3 - 48*i**2 + 18*i - 400. What is the remainder when w(49) is divided by 26?
23
Let b be (7 - 2)*(-42)/(-35). Suppose 5*p = 4*j - 46, -b*p + 10 = -p. Calculate the remainder when 53 is divided by j.
11
Let k(r) = -2*r**3 - 2*r**2 + 5*r + 2. Let f be (2 - 1)/((-2)/6). Suppose 23*y - 125 = 887. What is the remainder when y is divided by k(f)?
21
Let p(w) = -w**3 - 2*w**2 + 5*w - 1. Suppose 3*o + 6 = o. Calculate the remainder when (-2 + 1)/(o/90) is divided by p(-4).
8
Let r = 217 + -146. Suppose 64 - 10 = 3*c. Calculate the remainder when r is divided by c.
17
Let t be ((-9)/4)/(9/48). Let d = 76 + t. Suppose -3*b + 9 = -2*c + 31, 3*c - 5*b = 33. What is the remainder when d is divided by c?
9
Let i = 31 - 27. Suppose -2*t = m - 20, 2*m - m - i*t = 2. What is the remainder when 39 is divided by m?
11
Calculate the remainder when ((-116)/(-5))/(120/900) is divided by 41.
10
Suppose 2*k - 5*k - 99 = -4*q, -5*k - 39 = -2*q. What is the remainder when 76 is divided by q?
22
Let q(b) = 8*b + 5. Let f be q(-1)