remainder when a is divided by d.
9
Let h = 19 + -7. Let g(z) = z**3 + 39*z**2 + 74*z - 4. Let y be g(-37). Calculate the remainder when 9*(68/h + y) is divided by 8.
7
Let l be ((-3)/(-4))/(1/(-8)). Let j(h) = h**3 + 7*h**2 + 4*h + 5. What is the remainder when 67 is divided by j(l)?
16
Let i(s) = -5*s + 16. What is the remainder when 543 is divided by i(-15)?
88
Let a = -96 + -40. What is the remainder when 191 is divided by (-2 - a/3)/((-14)/(-21))?
61
Suppose -32 - 53 = -5*q. Let j(u) = -u + 5. What is the remainder when q is divided by j(-4)?
8
Let u be (-9)/(-15) - (-8)/20. Let t = 14 + u. Calculate the remainder when 44 is divided by t.
14
Suppose -z = -4*a + 13, 4*a + 8 = -2*z + 42. What is the remainder when ((-2)/6)/(2/(-66)) is divided by z?
4
Let r = 327 + -305. What is the remainder when 49 is divided by r?
5
Let t = -33 + 20. Let x(l) = l**3 + 14*l**2 + 15*l + 19. Let d be x(t). Calculate the remainder when 70 is divided by (-170)/d + (-12)/42.
22
Let q(t) = -t - 6. Let u be q(-10). Suppose -3*m - 30 = -r, 118 = u*r + 4*m - 34. Suppose -26 = -3*p + p. What is the remainder when r is divided by p?
10
Suppose 5 - 1 = 2*h. Suppose -d + 41 = 6*w - h*w, 3*d - w - 188 = 0. Let q = d + -41. What is the remainder when q is divided by 12?
8
Suppose -4*k + 4*p + 11 + 5 = 0, k + 3*p = -4. Suppose 17 = k*v + 1. Let a = 411 + -405. What is the remainder when v is divided by a?
2
Let n = 812 + -587. Calculate the remainder when n is divided by 72.
9
Suppose 3*n + 2*c = -22, 17 + 16 = -4*n + c. Let l(f) = f**2 + 3*f + 22. Calculate the remainder when l(n) is divided by 7.
6
Let r(v) = -7*v**2 + 4*v + 2. Let u be r(-3). Let h = u + 90. What is the remainder when 63 is divided by h?
12
Suppose -4*x + 4*a = -300, -17 + 139 = 2*x + 5*a. Calculate the remainder when 131 is divided by x.
60
Suppose -f + 13 - 11 = 0. Suppose l - 77 = -0*x - 5*x, -l + 42 = -f*x. What is the remainder when 1*l/(-8)*-18 is divided by 30?
27
Let s(f) = -58*f + 24. What is the remainder when s(-3) is divided by 8?
6
Suppose 30*v = 12*v + 396. Calculate the remainder when 135 is divided by v.
3
Let o = 47 + 356. What is the remainder when o is divided by 101?
100
Let q(l) = l**2 - 20*l - 495. What is the remainder when -1 + 86 + (-4)/(-2) is divided by q(-15)?
27
Let j be (4 - (6 + -3)) + -1 + 90. Suppose 5 = -3*o - k + j, -4*o + 4*k + 108 = 0. What is the remainder when 52 is divided by o?
24
Let d(s) = s**3 + 2*s**2 + s - 1. Let x be d(-3). Let i = -312 - -307. Let p = i - x. What is the remainder when p is divided by 3?
2
Let i be 11 + -10 + -1*1. Suppose -2*q - 5*f - 31 = 0, 0 = 3*q - f - i*f + 89. Let v = -10 - q. Calculate the remainder when v is divided by 10.
8
Suppose 4*n - 92 = -5*m, -8*m - 4*n = -11*m + 68. Let g = 13 + 0. Calculate the remainder when m is divided by g.
7
Let x = 13 + -8. Suppose 0 = u + x*s + 12, 4*u + 5*s - 16 = s. Let l(a) = -a + 13. What is the remainder when l(-16) is divided by u?
5
Calculate the remainder when 29 is divided by (68/12 - 5)/(2/24).
5
Suppose 2*v - 3*d = 155, -2 = -16*d + 18*d. What is the remainder when v is divided by 41?
35
Let w(f) = -f**3 - 5*f**2 + 2*f + 9. What is the remainder when 164/(-40) - 6/(-60) - -67 is divided by w(-6)?
30
Suppose u - 5*h = -6, 3*h - 19 = -7. Let i(c) = 54*c**2 - 2*c + 1. Suppose 3*k = -2 + 5. What is the remainder when i(k) is divided by u?
11
Suppose -3*y + 9 = -6*y. Calculate the remainder when 145 is divided by (5 + y)*(-74)/(-4).
34
What is the remainder when (2/3)/((-76)/(-34656)) is divided by 51?
49
Suppose -2*q - 5*p = -1646, -12*p - 1626 = -2*q - 7*p. What is the remainder when q is divided by 9?
8
Suppose 0 = -3*i - 32 + 56. Calculate the remainder when 71 is divided by (-2)/i*2 - (-325)/26.
11
Calculate the remainder when 48 is divided by (1 - 6)/(4/(-112)*4).
13
Suppose 5*f - 10 = -0. Suppose -f*k - 25 + 95 = 0. Let i(y) = y + 2. What is the remainder when k is divided by i(7)?
8
Let i = 28 + 96. What is the remainder when i is divided by 32?
28
Suppose -47*h - 712 = -20358. Calculate the remainder when h is divided by 10.
8
Let u(r) = r**3 - 2*r**2 - 3*r + 8. Let j be u(-3). Let i(m) = -2*m - 35. Calculate the remainder when 38 is divided by i(j).
17
Let d = 25 - -28. Suppose 89 = -26*g - 67. Let q = d - g. Calculate the remainder when q is divided by 15.
14
Let t(w) = -w**2 + 2*w + 11. What is the remainder when 45 is divided by t(4)?
0
Let r(m) = 4*m**2 - m + 1. Let c be r(1). Suppose -4*i = 0, -c*i + 2*i = -4*f + 36. Let u(h) = 2*h - 3. What is the remainder when f is divided by u(3)?
0
Let h = 22 - 12. Let f(i) = -i + 17. Let m be f(h). Suppose 3*u - 11 - m = 0. Calculate the remainder when 22 is divided by u.
4
Let m(z) = z**3 - 2*z**2 - 7*z + 15. Let v be m(5). Suppose 0 = -b, -5*b - 3 + v = 4*k. What is the remainder when 38 is divided by k?
12
Suppose 3*r - 54 = -6. Suppose 903 = 5*k + 2*k. Suppose 7*l - x - 181 = 4*l, -2*l - x + k = 0. What is the remainder when l is divided by r?
14
Let o be 87/4 + 7/28. Let g = o + -11. Let b(j) = j - 8. Calculate the remainder when 4 is divided by b(g).
1
Calculate the remainder when 205 is divided by 230/5 + 7/(14/(-4)).
29
Suppose 11*m = 31*m - 2540. Calculate the remainder when m is divided by 41.
4
Let b = 48 + -47. Let k(f) = 2*f**2 - f - 1. What is the remainder when (-1)/((-6)/(-12)) - -5*b is divided by k(-1)?
1
Suppose 0 = 3*s + s + 4, -q + 337 = -2*s. Calculate the remainder when q is divided by 52.
23
Let x = 39 + -16. Let t(u) = -2*u**3 + 4*u - 3. Calculate the remainder when x is divided by t(-2).
3
Suppose 5*x - 630 = x - 2*k, 3*x + 5*k - 455 = 0. Let g = x + -96. Calculate the remainder when g is divided by 13.
12
Let l = -684 + 969. Calculate the remainder when l is divided by 36.
33
Suppose -5*j = -5*c + 120, -2*c - j = -0*j - 60. What is the remainder when c is divided by 5?
3
Let u(t) = 24*t + 34 + 44 - 88. Calculate the remainder when u(5) is divided by 28.
26
Let q = -545 - -813. Calculate the remainder when q is divided by 10.
8
Let v = -144 + 99. What is the remainder when 67 is divided by (-4)/(-10) + (-1017)/v?
21
Suppose 5*q = -20, 3*a + 15*q - 36 = 18*q. What is the remainder when 55 is divided by a?
7
What is the remainder when 234 is divided by (-12)/90 - 257/(-15)?
13
Calculate the remainder when 75/2 - (-1)/2 is divided by 21*(-30)/(-10)*1/3.
17
Suppose 22 = 3*d - 0*d + 2*s, -10 = -2*s. Suppose 0 = f + 4*y - 14 - 0, -d*y + 22 = 5*f. What is the remainder when f is divided by 1?
0
Suppose 3*v + 71 = 5*d, -5*d = -d - 4*v - 52. Calculate the remainder when 236 is divided by d.
12
Suppose -2*v - 4 = -l + 18, 4*l = 8. Let o = 35 - v. What is the remainder when 87 is divided by o?
42
Let m = 45 + -20. Let l = 87 - 39. What is the remainder when l is divided by m?
23
Let v(r) be the first derivative of -4*r**2 - 4*r - 2. Let t = -672 - -693. Calculate the remainder when v(-8) is divided by t.
18
Let s = 1019 - 1001. Calculate the remainder when 78 is divided by s.
6
Let x(g) = 3*g + 6. Let l be x(-4). Let a(p) = 2*p**2 + 7*p - 4. Let y be a(l). Suppose -y = -f - f. What is the remainder when 36 is divided by f?
10
Let s(h) = 2*h**2 - h. Let q(c) = c**2. Suppose -3*f + f - 6 = 0. Let w(m) = f*q(m) + 2*s(m). What is the remainder when 3 is divided by w(-1)?
0
Suppose 2*p - 409 = -4*n - 141, 0 = -4*p + 8. Calculate the remainder when n is divided by 30 + 1 - (-3 + 0).
32
What is the remainder when (109/5)/(((-6)/(-15))/2) is divided by 38?
33
Suppose 4*c - 4*s - 8 = 0, 6*c - 3*s - 10 = c. Let x be (-5)/(-5) + 8/(-2). What is the remainder when 14 is divided by (-224)/(-42) - c/x?
2
Let y(l) = l**2 - 16*l + 112. Calculate the remainder when y(6) is divided by 10.
2
Suppose 3*f = -y - 3 - 9, -5*y - 2*f = 8. Suppose y = -2*u + 21 + 9. Let g = 65 + -37. What is the remainder when g is divided by u?
13
Let p = 18 - -6. Suppose -4*k = k + 3*o - 120, k - 3*o = p. What is the remainder when 118 is divided by k?
22
Suppose -99 = -19*d - 42. Suppose 0*b + 5*b - 340 = 0. Suppose t + d*t - b = 0. What is the remainder when 66 is divided by t?
15
Let z(s) be the first derivative of -s**4/2 + 8*s**3/3 + 5*s**2/2 - 4*s - 1. Let c = 74 + -70. Calculate the remainder when 43 is divided by z(c).
11
Let o(p) = -3*p**2 - 19*p + 