d = 5*z - 9*d - 620. What is the remainder when z is divided by 42?
39
Let l be (-86)/(-12) + 1/(-6). Let y = l - 1. Suppose 0 = 4*a - y*a + 8. Calculate the remainder when 5 is divided by a.
1
Let b be 16 + -17 + (0 - (-14)/(-2)). Calculate the remainder when 56 is divided by (-486)/(-24) - (-2)/b.
16
Let k = -21 - 28. Calculate the remainder when (18/21)/((-1)/k) is divided by 11.
9
Let w = 1952 + -1945. Calculate the remainder when 107/4 + (-1)/(-4) is divided by w.
6
Suppose -l + 8*v - 6*v + 227 = 0, -2*l + v + 463 = 0. Calculate the remainder when l is divided by 5.
3
Suppose -2*p + 2 - 12 = 0. Let y = p - -5. What is the remainder when 114 is divided by -1 + y + 1 + 29?
27
Let s(u) = -2 + 2*u + 11 - 3 - 3. What is the remainder when 114 is divided by s(13)?
27
Let y = -280 - -304. Calculate the remainder when 36 is divided by y.
12
Let r(n) = -3*n**2 - 40*n - 23. What is the remainder when 105 is divided by r(-11)?
51
Let f(h) = 2*h**3 - 14*h**2 - 15*h + 26. Calculate the remainder when 521 is divided by f(8).
11
Let q be 12/(-6) - ((-4)/(-1) + 3). What is the remainder when (3 - 0 - 2)/(q/(-45)) is divided by 4?
1
Let d(z) = -121*z**3 - z**2 - 5*z - 2. Calculate the remainder when 360 is divided by d(-1).
114
Calculate the remainder when 1587 is divided by 9672/91 - 12/42.
103
Let p = -374 - -397. Calculate the remainder when 66 is divided by p.
20
Suppose -s + 52 = -2*r - 0*r, -3*r - 15 = 0. Calculate the remainder when 86 is divided by s.
2
Let p(f) = f**3 + 22*f**2 - 12*f - 1. What is the remainder when p(-22) is divided by 67?
62
Suppose 0 = 5*j + 6*j - 363. What is the remainder when 75 is divided by j?
9
Let t(i) = -i**2 + 5*i + 5. Let q(g) = g**2 - 5*g + 6. Let v be q(4). Suppose -z - 5 = -v*z. What is the remainder when 8 is divided by t(z)?
3
Suppose -2*x - 7*k + 6*k + 480 = 0, 2*x + 2*k = 476. What is the remainder when x is divided by 82?
78
Let j = 2 + -5. Let s be -1*(0 + j)/(-3). Let v(q) = -10*q + 1. Calculate the remainder when v(s) is divided by 4.
3
Let l = 27 - 0. Let c = l - 48. What is the remainder when 296/7 + 6/c is divided by 11?
9
Let i be 30*((-16)/12)/(-2). Suppose 8*a - i = 3*a. What is the remainder when 6 is divided by a?
2
Let c = 132 - 113. What is the remainder when 90 is divided by c?
14
Let p = 38 - 19. Suppose 0 = 159*h - 13355 + 1748. Calculate the remainder when h is divided by p.
16
Let c(o) = o**2 - 23*o + 78. Let i be -1*19/4*(-12)/3. Calculate the remainder when 7 is divided by c(i).
1
Let z(a) = -3*a - 12. Let h be z(-6). What is the remainder when 40 is divided by (2 + 9)/((-6)/(-72)*h)?
18
Let y = 201 + -197. Calculate the remainder when (-1)/1*11*-1 is divided by y.
3
Suppose -7*p + 13*p = 102. What is the remainder when 203 is divided by p?
16
Calculate the remainder when (-6)/8*48/(-36) + 138 is divided by 40.
19
Let u(o) = 12*o - 2. Let j(g) = 13*g - 3. Let z(k) = 5*j(k) - 4*u(k). What is the remainder when z(3) is divided by 12?
8
Let q = 8 + 2. Suppose 5 = -5*r, -4*r = 3*v - 26 - 12. What is the remainder when v is divided by q?
4
Let z = -11 - -13. Let l(k) = -15*k + 0*k**3 - 3*k**3 - 15*k**z - k**3 + 3*k**3 - 9. Calculate the remainder when 13 is divided by l(-14).
3
Let u(b) = b**3 - 21*b**2 - 48*b + 53. Calculate the remainder when 20 is divided by u(23).
6
Let t = -136 + 286. Suppose 0 = w - t + 120. What is the remainder when w is divided by 19?
11
Let w(j) = 2*j**2 - 5*j + 2. Let r be w(-12). Let x be (16/(-20))/((-4)/r). Let t = -41 + x. What is the remainder when t is divided by 10?
9
Suppose h - 2*i + 4 = -3*i, -3*h - 10 = 4*i. Let t be 12/(-2)*(-12)/(-24) - -7. Let g = t - h. Calculate the remainder when 17 is divided by g.
7
Let j = -277 - -283. What is the remainder when 131 is divided by j?
5
Suppose 129*k = 137*k - 816. Calculate the remainder when 297 is divided by k.
93
Let u = 214 - 211. What is the remainder when 28 is divided by u?
1
Suppose k = -5*k + 36. Calculate the remainder when 29 is divided by 1*((-3)/(-9) - (-52)/k).
2
Let z(l) be the first derivative of 7*l**2/2 - 7*l + 18. Calculate the remainder when z(13) is divided by 43.
41
What is the remainder when ((-1602)/(-7) - -2) + 24/168 is divided by 9?
6
Let n = -188 + 223. What is the remainder when n is divided by 24?
11
Let v(c) = -10*c. Let j be v(-2). Suppose 0 = -4*r + 8, j = k + 2*r - 23. What is the remainder when k is divided by 0 + (-2)/(6/(-33))?
6
Suppose -5*v + 80 = 5. Let h be (0 - -2 - 3) + 1. Suppose -d + 39 + 3 = h. Calculate the remainder when d is divided by v.
12
Suppose 5*m + 7*q = 6*q + 21, 4*q + 4 = 2*m. Suppose 504 = -m*o + 16*o. What is the remainder when 123 is divided by o?
39
Let p(g) = g**2 + g + 31. What is the remainder when p(-9) is divided by (2/((-32)/20))/((-1)/28)?
33
Let o = 14 - 9. Let g(f) = -f + 14. Calculate the remainder when o/(50/(-205))*-2 is divided by g(0).
13
Suppose 2*y - 2*r + 0*r = 26, -4*y = 4*r - 20. Let d = 25 + 0. Calculate the remainder when d is divided by y.
7
Let r(i) = -i + 4. Let z be r(6). Let s be -2 + (4 - (-2)/z). Calculate the remainder when -12*(0 + s)*-4 is divided by 17.
14
Let v = -967 - -976. Calculate the remainder when 341 is divided by v.
8
Calculate the remainder when 3240/32 - 2/8 is divided by 36.
29
Suppose 3*t = 4*o - 642, 5*t = -o - 32 + 204. Suppose 3*n - o = -579. What is the remainder when 9/(-27) - n/3 is divided by 12?
10
Suppose 0 = 45*h - 35*h - 300. Calculate the remainder when 173 is divided by h.
23
Let v(y) be the second derivative of y**5/20 + 13*y**4/12 - y**3/3 - 6*y**2 + 12*y. Calculate the remainder when 38 is divided by v(-13).
10
Let p(y) = -y**2 - y + 106. Suppose 7*u - 42 = 6*u. Calculate the remainder when p(0) is divided by 2/(-12) - (-763)/u.
16
Suppose 0 = 39*a + 4*a - 2150. What is the remainder when 176 is divided by a?
26
Suppose -z + 0*z = 0. Suppose z = 4*d + 16, -l + 0*d = 2*d - 32. Suppose -2 = -3*f + l. What is the remainder when 39 is divided by f?
11
Suppose -44*o - 36 = -608. Suppose -4*x + 74 = 2*d - 20, -4*x = 3*d - 143. What is the remainder when d is divided by o?
10
Let b be (-153)/6*(20/15 + -2). Suppose 0 = -b*k - 323 + 986. What is the remainder when k is divided by 10?
9
Let q(t) be the third derivative of -t**6/120 - t**5/30 - t**4/4 - 5*t**3/3 + 10*t**2. Calculate the remainder when q(-4) is divided by 8.
6
Let u = -2139 - -2158. Suppose -2*g + 5*f - 13 + 3 = 0, 0 = 2*g + 2*f - 18. Calculate the remainder when u is divided by g.
4
Suppose q = 52 + 68. Suppose -2*p - q = p. Let c = p - -65. What is the remainder when 73 is divided by c?
23
Let u = 2 + 2. What is the remainder when (-20)/(-30)*(-6)/u*-107 is divided by 22?
19
Let v(g) = -55*g - 121. Calculate the remainder when v(-10) is divided by 18.
15
Let b be 141/45 - (-4)/(-30). Suppose 5*j - 2*a - 65 = 15, -b*a = 15. What is the remainder when j is divided by 8?
6
Let w = 78 - 75. Suppose -2*b = w*k - 109, 0 = -8*b + 3*b - 2*k + 256. Let h(m) = m**3 - 2*m**2 + 4*m - 4. Calculate the remainder when b is divided by h(3).
16
What is the remainder when 13 is divided by -1 + 4 - (-8 - -4)?
6
Let a = 41 - 38. Suppose a*n - 42 = -3*p, -n + p + 4 + 0 = 0. What is the remainder when 24 is divided by n?
6
Calculate the remainder when (3 - (5 + -1)) + 48 is divided by (5/(40/(-36)))/(9/(-24)).
11
Suppose 0 = 4*r + 3*z - z - 12, r + 2 = 2*z. Suppose 3*j + 125 = 3*m - j, -3*j - 84 = -r*m. Calculate the remainder when m is divided by 3.
0
Suppose -16289*a = -16304*a + 150. What is the remainder when (-2)/(6/(-135)) + -1 is divided by a?
4
Let x(i) = 11*i - 1. Let l(u) = -21*u + 2. Let m(k) = 6*l(k) + 11*x(k). What is the remainder when 19 is divided by m(-1)?
1
Let n(c) be the first derivative of -c**2 - 23*c + 14. Suppose 0 = 5*w + k - 236 + 26, 5*k + 197 = 4*w. Calculate the remainder when w is divided by n(-17).
10
Let n(d) = 2*d + 27. Let b be (1 + -1)*11/(-44). Calculate the remainder when n(b) is divided by 10.
7
Let j(v) = v**3 - 2*v**2 - 11. What is the remainder when 79 is divided by j(4)?
16
Suppose -19*p = -6 - 13. Suppose c - p = y - 18, -y + 2 = 4*c. What is the remainder when 41 is divided by y?
13
Let w be (-22)/8 - -3 - (-54)/8. What is the remainder when 57 is divided by 201/w - 2/(-7)?
28
Suppose -4*r + 6*r + g = 87, 2*g