s divided by 3.
1
Suppose 15*d - 19*d = -12. Suppose 0 = d*x + 55 - 124. Suppose -3*i + a + 29 = 0, -5*i + 10 = 5*a - 5. What is the remainder when x is divided by i?
7
Let r(z) = -2*z**2 + 5*z + 5. Let l be r(3). What is the remainder when 12 is divided by l/4 - 170/(-20)?
3
Let p(d) = -d**3 - 4*d**2 - 19*d - 24. Calculate the remainder when 345 is divided by p(-2).
3
Suppose -2*q - 16 = -3*g, -3*q + 7 = -5. Let z(t) = -t - 1. Let d = -13 - -7. What is the remainder when g is divided by z(d)?
3
Let h(g) = g**2 - 13*g + 25. Let n be h(11). What is the remainder when 3 is divided by (n/2 - 2)*-2?
0
Suppose -4*j - 24 = -2*j. Let w = j - -10. What is the remainder when 58 is divided by -2 + (2 - 30/w)?
13
Let x(m) = -38*m**3 - m**2 + 1. Let f(v) = -v + 9. Let g be f(8). Let o be x(g). Let w = o - -95. Calculate the remainder when w is divided by 15.
12
Let v = 6 - 0. Suppose 4*k = 5*n - 550, 5*n + 62 = -3*k + 612. Suppose -n = -v*t + t. Calculate the remainder when 85 is divided by t.
19
Let p = -45 - -143. Let z(y) = 32*y**3 + 2*y - 1. What is the remainder when p is divided by z(1)?
32
Let u = 8 - -8. What is the remainder when u is divided by ((-20)/(-8) + -2)/((-4)/(-48))?
4
Calculate the remainder when 140 + (2/(-2))/(2/8) is divided by 23.
21
Calculate the remainder when (-9)/12 - (-39)/12*211 is divided by 69.
64
Suppose 5*t + 10 + 33 = 2*f, 0 = f - 2*t - 19. What is the remainder when 42 is divided by f?
6
Calculate the remainder when 91 is divided by 2 - 2*(-136)/16.
15
Let f(g) = -49*g**3 - 3*g**2 + 2*g + 3. What is the remainder when f(-1) is divided by 6/(-1)*(1 + -3)?
11
Suppose 4*z = -6*z + 50. Let m(a) = -a**2 - 9*a + 20. What is the remainder when m(-9) is divided by z?
0
Let g = 16 - -7. Let l(w) = -1 + 3*w - 5*w - w. What is the remainder when g is divided by l(-2)?
3
Suppose -42 = -b - 5*u - 9, 0 = -3*u + 6. Suppose 33 = 3*x - 24. Let l = b - x. Calculate the remainder when 15 is divided by l.
3
Calculate the remainder when ((39/(-6))/(-13))/(3/636) is divided by (-76)/(-6) - 4/6.
10
Let q be 4 - (1 - 4)/3. Suppose -4*w + 0*x + 317 = 3*x, q*x = 2*w - 165. Suppose 3*p = 85 - 4. Calculate the remainder when w is divided by p.
26
Suppose o = -3*o + 128. Let l(p) = -p**2 - p - 126. Let w be l(0). Calculate the remainder when (-11 - -9)/(2/w) is divided by o.
30
Let r = 1241 + -1157. Calculate the remainder when 670 is divided by r.
82
Suppose -4*w + 30 = -2*w - 2*f, 7 = w - 3*f. Calculate the remainder when w is divided by 6.
1
Suppose 2*i - 87 = 5*y, -2*y = 2 - 8. Calculate the remainder when 91 is divided by i.
40
Suppose 5*x - x + 32 = 0. Let a be (x/3)/((-1)/3). Let f = a - -30. Calculate the remainder when f is divided by 8.
6
Suppose 11*v = 19*v - 32. Suppose 9*o - 910 = -v*o. Calculate the remainder when o is divided by 36.
34
Let g(h) = h + 23. What is the remainder when 3 + -8 + 43 - (-4 - -4) is divided by g(-10)?
12
Let f = 919 - 891. What is the remainder when 93 is divided by f?
9
Suppose 0 = 3*g - 5*j + 155, 2*j - 2 = -2*g - 100. Let w(n) = -n**2 - 6*n + 15. Let s be w(-8). Let d = s - g. Calculate the remainder when d is divided by 17.
15
Let d(h) = 3*h**2 + 3*h - 26. What is the remainder when d(19) is divided by 80?
74
Let t(v) = -v + 10. Let x be t(8). Let m(o) = 1 + 4*o - 2*o - x - o**2 + 7*o. Calculate the remainder when m(8) is divided by 5.
2
Let m(x) = -8*x - 2. Let i be m(1). Suppose 3*z - 2*z = -2*u - 13, 0 = -2*z - u - 41. Let l = i - z. What is the remainder when l is divided by 7?
6
Let h(r) = -21*r - 39. Calculate the remainder when h(-6) is divided by 27.
6
Let u(m) = m + 11. Suppose -3*w + 57 = 15. Suppose -3*z + z - 2 = 0, -2*d - 4*z = w. What is the remainder when 17 is divided by u(d)?
5
Suppose 2*m = -9 + 3, -5*m - 105 = 3*r. Let g = r + 35. What is the remainder when 10 is divided by g?
0
Let j = -215 - -231. Calculate the remainder when j is divided by 9.
7
Let h(r) = 5*r + 2. What is the remainder when 88/110 - (-5)/(75/66)*8 is divided by h(2)?
0
Suppose -11 = -4*k + 49. Calculate the remainder when 145*(35/25)/7 is divided by k.
14
Suppose g + 60 = 6*g. Let p = g - -9. Let q = 83 + -43. Calculate the remainder when q is divided by p.
19
Suppose v + 5*s = -0*v - 12, -v + s + 6 = 0. What is the remainder when 105 is divided by (-3)/(-2)*v*6?
24
Let j(d) = -d**2 - 10*d + 18. What is the remainder when j(-6) is divided by 11?
9
Suppose -2*x - 2*x + 5*t = -24, 0 = -x - 2*t + 6. Suppose -59 - 115 = -x*b. Calculate the remainder when b is divided by 6.
5
Let m(n) = -4*n**2 + 62*n - 17. Calculate the remainder when m(13) is divided by 58.
55
Suppose 47*c - 45*c = -6. What is the remainder when 74 is divided by (-1770)/(-120) - (-1 + c/(-4))?
14
Suppose -306 = -21*t - 12. Calculate the remainder when 446 is divided by t.
12
Let n(r) = 5*r**2 - 2*r - 2. Let p be -4*(3 - (-28)/(-8)). Suppose p*j - 14 - 6 = 0. Calculate the remainder when n(3) is divided by j.
7
Suppose 0 = -2*m + 2*u + 14, -2*u + 11 = 5*m - u. Let h(w) = 21*w + 7. What is the remainder when h(m) is divided by 24?
22
Let g = -2176 + 3694. What is the remainder when g is divided by 80?
78
Suppose 5*d - 4*d - 33 = -2*l, 0 = 3*l - 3. Calculate the remainder when d is divided by 9.
4
Suppose -3*s - 5*p = -140, 4*s - p - 60 = 3*s. Calculate the remainder when s is divided by 8.
7
Suppose 0 = -4*j - 11 - 1, 0 = -5*d - 5*j + 685. Calculate the remainder when d is divided by 38.
26
Suppose 4*x - 39 + 325 = 3*v, 0 = 5*v + 2*x - 442. Suppose 4*h + v = 6*h. Let p = -6 + h. What is the remainder when p is divided by 8?
7
Suppose 2*z = -d - 34 + 159, 5*d + 5*z - 615 = 0. Let i(o) = -27*o**2 - 233*o - 111. What is the remainder when d is divided by i(-8)?
21
Let t be ((-5)/10)/(1/2) - -1. Let i = 38 + -20. Calculate the remainder when 3 - (-49 - -1 - t/3) is divided by i.
15
Suppose -4*z - k + 1549 = 0, 5*z - 4*k = z + 1544. What is the remainder when z is divided by 30?
27
What is the remainder when 50 is divided by 4/46 + (-962)/(-46)?
8
Suppose -9*c + 7 + 20 = 0. Suppose -4*r - 3*m = -27 - 12, -5*m = -c*r + 22. What is the remainder when 34 is divided by r?
7
Let b = -17 - -13. Let m(y) = y**2 - 7*y - 11. What is the remainder when m(b) is divided by 19?
14
Suppose 4*v - 14 = 42. Suppose 2*s - j = -0 + 21, s + 3 = 5*j. Suppose -s*i = -10*i - 16. Calculate the remainder when v is divided by i.
6
Let k = 93 - 77. What is the remainder when 42 is divided by k?
10
Let u(g) = -85*g**2. Let h be u(-1). Let p = 153 + h. Suppose 42 = 8*i - 5*i. What is the remainder when p is divided by i?
12
Let p = 519 - 397. What is the remainder when p is divided by 37?
11
Let q(u) = -20*u - 4. Let i(c) = c + 11. Let z = -26 + 35. Calculate the remainder when q(-3) is divided by i(z).
16
Let g be 0 + (-10)/4 - 6/4. Let i(s) = -2*s**3 - 6*s**2 - 2*s. Let k(p) = -2*p + 2. Calculate the remainder when i(g) is divided by k(-6).
12
Suppose 3*b - 22 = g, 4*b + g - 12 = 8. Suppose b*n = 89 + 13. Calculate the remainder when 47 is divided by n.
13
Let z = 13 - 25. Let j = 11 + z. What is the remainder when 3 is divided by (-5)/(5/3)*j?
0
Let c(o) = 38*o + 36. Let g(p) = 13*p + 12. Let s(v) = 5*c(v) - 16*g(v). Let z be s(4). What is the remainder when 8 is divided by z/(-35) + 4/(-10)?
0
Let f(m) = 83*m - 15. Let i be f(2). Let c = -82 + i. What is the remainder when c is divided by 37?
32
Suppose -4*h + 3*h + 23 = 3*u, 4*h - 75 = 5*u. Calculate the remainder when h is divided by (11 + 1)/(1 - 0).
8
Suppose 0 = 3*p + 2 + 1. Let l be p/(-2)*(1 + 3). Calculate the remainder when (-2*l)/(-2) + 16 is divided by 10.
8
Suppose -7*t - 113 = -351. Suppose -4*q - 54 = -7*q. Calculate the remainder when t is divided by q.
16
Suppose -2*o + 20 = 4*k, -o - 4*k = -3*o + 12. Let w(q) = -q**3 + 9*q**2 + 189*q + 35. Calculate the remainder when w(-10) is divided by o.
5
Let r(l) = -26*l - 12. Let g(k) = -26*k - 13. Let u(i) = -5*g(i) + 6*r(i). What is the remainder when u(-4) is divided by 14?
13
Suppose -q = -4*n - 104 - 24, 2*n = 0. Calculate the remainder when q is divided by 45.
38
Let z be 8/20*(-10)/(-4). Let j be z/(-3) + 28/12. Let a = j - -16. What is the remainder when 50 is divided by a?
14
Suppose 18 = 3*i - 3*b - 9, -2*b = 2*i - 38. Let v = i + -15. Let h = 6 + v. Calculate t