
50
Let y(d) = 2*d + 5. Let f be y(0). Suppose -f*n = -2*n - 69. Suppose -5*h = -x - 21, 2*x = 4*h - 7*h + n. What is the remainder when x is divided by 3?
1
Let r(x) = -20*x**3 + x**2 + 2*x + 1. Calculate the remainder when r(-1) is divided by 4.
0
Suppose 8*r - 752 = -0*r. Let k = r + -66. What is the remainder when 82 is divided by k?
26
Let y(m) = m - 6. Let s be y(6). Suppose s = 3*j + g + 22 - 107, 3*g = 3*j - 69. What is the remainder when j is divided by 6?
3
Let o be (60/(-42))/(1/(-14)). Suppose -f = -o - 43. What is the remainder when f is divided by (-22)/((-3)/3) + 0?
19
Let f(w) = -11*w - 480. Calculate the remainder when f(-55) is divided by 21.
20
What is the remainder when 404 is divided by (9 - (-3 + 12)) + (11 - 0)?
8
Let m(w) = -7*w - 4. Suppose 2*j + 126 = 20*j. Calculate the remainder when m(-4) is divided by j.
3
Calculate the remainder when 614 is divided by (-11)/(-99)*-3*-309.
99
Suppose -1128*z - 112 = -1132*z. Calculate the remainder when 102 is divided by z.
18
Suppose 3*v - 98 = i, -108*i + 105*i - 90 = -3*v. Calculate the remainder when 611 is divided by v.
33
Suppose 2*d + 12 = 20. Let r = 7 - d. Suppose 2*m + 11 = r*m. What is the remainder when 52 is divided by m?
8
Let f = -24 + 543. What is the remainder when f is divided by 20?
19
Let m(j) = 11*j**3 + 2*j**2 - 2*j + 1. Suppose 2*l = -l + 3. Calculate the remainder when (-2)/5 - (-321)/15 is divided by m(l).
9
Let h = 63 + -57. Suppose -2*g = -h - 28. What is the remainder when g is divided by 7?
3
Let t(n) = -36*n - 5. Let f be t(-5). Let s = -125 + f. Suppose 6*x - 5*l + 41 = 7*x, -4*x = l - 107. Calculate the remainder when s is divided by x.
24
Let m = 58 - -3. Let o = 98 - m. Let l(h) = -4*h - 2. What is the remainder when o is divided by l(-3)?
7
Let z be (-2 - 3)/(1/1). Let g(c) = -c**2 - 11*c + 14. Let j be g(-13). Let f = z - j. Calculate the remainder when 20 is divided by f.
6
Let x = -111 - -135. Calculate the remainder when 81 is divided by x.
9
Suppose -6*s = -0*s - 54. Let o(r) = -r**3 + 9*r**2 + 14*r - 11. What is the remainder when o(s) is divided by 29?
28
Suppose -4*d = 4*l - 32, -3*l = l - 5*d - 23. Let g(t) be the second derivative of t**3/3 + t. What is the remainder when l is divided by g(2)?
3
Suppose 24 = -6*b - 6. Calculate the remainder when 23 is divided by 0 - (620/(-50) + (-2)/b).
11
Let w = -447 - -517. Calculate the remainder when w is divided by 12.
10
Calculate the remainder when 14520/143 - 30/(-65) is divided by 34.
0
Suppose -4*k = -4*b - b - 13, 8 = -k - b. Let h(m) = -15*m - 15. Let t(w) = 8*w. What is the remainder when h(k) is divided by t(2)?
14
Suppose -8*t + 94 = -2*g, 6*g - 28 = -t + 3*g. Calculate the remainder when 17 is divided by t.
4
Suppose -l - l + 4 = 0. Suppose l*r + 18 = 5*r. Suppose 3*v + 26 = 5*v - 3*w, v = 4*w + 8. What is the remainder when v is divided by r?
4
Let o = -14 - 7. Suppose -3*f + 88 + 83 = 0. Calculate the remainder when f is divided by (87/9)/(-2 + o/(-9)).
28
Let d = -232 - -309. Calculate the remainder when d is divided by 39.
38
Let n(d) = d**3 + d**2 - 2*d. Let c be n(0). What is the remainder when 27 is divided by (-69)/(-6) - c - 2/4?
5
Let u(o) = -2*o - 2. Let i be u(-5). Let y(c) = c**3 - 8*c**2 + c - 6. What is the remainder when (-1 + -6)*(15 + -1)/(-14) is divided by y(i)?
1
Let r = -4 - -13. Let z(c) = c**3 - 34*c**2 + 32*c + 50. Calculate the remainder when z(33) is divided by r.
8
Suppose -t = -5*f + 27, -f + 15 = -0*f + 3*t. Suppose 5*b + 2*v - 85 = 0, 60 = 5*b - 4*v + v. Calculate the remainder when b is divided by f.
3
Suppose 8*l = 10*l - 638. Let i = l + -174. Calculate the remainder when i is divided by 21.
19
Suppose 0 = 6*u - 26*u + 80. Suppose 3*r + 6 = 4*r. Calculate the remainder when ((-8)/r)/(2/(-9)) is divided by u.
2
Suppose 3*a - 265 = f - 26, -a + 69 = -3*f. Calculate the remainder when 158 is divided by a.
77
What is the remainder when (287/(-21) + -3)*1674/(-45) is divided by 125?
120
Let p(a) = -a**3 + 8*a**2 - 6*a - 4. Let c(s) = 456*s - 5002. Calculate the remainder when p(5) is divided by c(11).
13
Suppose -5*z - 8 = c - z, -4*z = 12. Suppose -c*n = -n - 5*i - 69, 0 = 4*i + 12. Let t = n - 11. What is the remainder when 18 is divided by t?
4
Let h(w) = w**2 - 19*w + 21. Let r be h(18). Suppose 3*g - 12 = 6*i - r*i, -2*g + 6 = -4*i. Calculate the remainder when i is divided by 1.
0
Let h(f) = -f**2 - f + 60. Let x be h(0). Suppose -v = -6*v + x. Calculate the remainder when 58 is divided by v.
10
Suppose 18*j + 3*j = 189. What is the remainder when 93 is divided by j?
3
Suppose -7*d + 2*d + 500 = 0. Let p = d - 25. Suppose -2*r - 6*b + b + 18 = 0, -b - 4 = 0. What is the remainder when p is divided by r?
18
Calculate the remainder when 62 is divided by (-1404)/(-45) + 3/(-17 + 2).
0
Let k = 55 + -42. Calculate the remainder when (0 + 1)*(k + 16) is divided by 16.
13
Suppose -5*h - 89 = -2*v, -7*v - 207 = -12*v - 3*h. What is the remainder when v is divided by 39?
3
Let l(z) = 2*z + 3. Suppose 713 = 4*d + 2*i + 145, 2*d = 3*i + 276. What is the remainder when d is divided by l(5)?
11
Suppose g - 4*g - 54 = 0. Calculate the remainder when 41 is divided by (-43)/(-3) + (-12)/g.
11
Let t(q) = 4*q**3 + q**2 - q - 29. Let w(y) = -3*y**3 - y**2 + y + 29. Let g(d) = 2*t(d) + 3*w(d). What is the remainder when 85 is divided by g(0)?
27
Let n(c) = 11*c**2 + c + 1. Let a(b) = -b**3 - 11*b**2 - 6*b + 39. Let s be a(-10). Calculate the remainder when (667/(-115))/((-1)/(-5)*s) is divided by n(-1).
7
Let d(a) = a**2 - 14*a + 42. Calculate the remainder when 47 is divided by d(12).
11
Suppose 0 = 21*r + 462 - 2079. What is the remainder when r is divided by 14?
7
Suppose -285 = -3*c + 3*t, c - 2*t = -3*t + 85. Suppose 5*j + 6 = u, 3*u = 4*j + 98 - 25. What is the remainder when c is divided by u?
28
Let d = -41 + 21. Let s be 24/d*(-80)/6. Suppose 5*w = g - s, -5*g - 3*w = -w - 188. What is the remainder when g is divided by 13?
10
Suppose -5*i + 6*i = 9. Suppose -4*g + r = -i, -g + 5*g - 15 = -r. Suppose -30 - 27 = -g*y. What is the remainder when 75 is divided by y?
18
Let z(t) = -t**3 - 5*t**2 + 7*t + 9. Let o be z(-6). Suppose 0 = -0*m + o*m - 36. Calculate the remainder when 20 is divided by 80/m + (-3)/(-9).
6
Let y be 26/(-13)*(-19)/2. Suppose -16*h + y*h = 0. Suppose -4*c + 0*c + 5*u + 33 = 0, -3*u + 9 = h. Calculate the remainder when c is divided by 5.
2
Let k = 821 - 792. Calculate the remainder when 220 is divided by k.
17
Suppose 3*s + 18 = -0*s. Let b(p) = -12 - 7*p - 12 + 10 - 7*p + 11*p. Calculate the remainder when b(s) is divided by 3.
1
Let g(k) = k**3 + 5*k**2 - 7*k - 2. Let t(x) = x**2 + 11*x + 12. Let a be t(-10). Suppose -2*l + 26 + a = 0. Calculate the remainder when l is divided by g(-6).
2
Let d = 1203 - 693. Calculate the remainder when d is divided by 73.
72
Let f(i) = -i**3 + 12*i**2 + 12*i - 125. Calculate the remainder when f(10) is divided by 18.
15
Let m(l) = 0*l - l**3 + 15*l + 10 + 7*l**2 - 13*l. What is the remainder when 118 is divided by m(7)?
22
Let x(a) = 3*a**2 - a + 5. What is the remainder when 147 is divided by x(2)?
12
Let x(m) = m**2 + 15*m - 150. Suppose -a = -4*a + 6. Calculate the remainder when (-5)/((-3)/(a + 4)) is divided by x(-22).
2
Suppose -1 = 2*o + 23. Let f = o + 17. Suppose -f*w + 65 = 5*q, 5 = -0*q + 5*q. What is the remainder when 23 is divided by w?
11
Suppose 8*s = 7*s. Suppose -3*z + 5*f - 35 = -8*z, s = -3*z + f + 5. Suppose -16 = -5*u + z*u. Calculate the remainder when u is divided by 5.
3
Let h = -4 - -7. Suppose t = h*d - 35, 0*t = -3*d - t + 31. Calculate the remainder when (2 - (4 - 4))*(1 + 204/8) is divided by d.
9
Let w(r) = -r**3 + 6*r**2 - 6. Let d(y) = -48*y - 798. What is the remainder when d(-18) is divided by w(5)?
9
Let f(y) = -y**3 - 4*y**2 - y - 7. Calculate the remainder when f(-5) is divided by 20 - 11 - (-5 + 1).
10
Let s(j) = -12*j - 32. Let i(t) = 8*t + 21. Let g(o) = -7*i(o) - 5*s(o). What is the remainder when g(3) is divided by 14?
11
Let n = 152 - -128. What is the remainder when n is divided by 16?
8
Let i = -81 - -102. Calculate the remainder when i is divided by 12.
9
Suppose 3*h + 5*m - 14 + 3 = 0, -5*m + 7 = h. What is the remainder when ((-10 - -2) + -2)/(13 + -14