4. Calculate the remainder when a is divided by g.
13
Suppose 0 = 3*x - 4*t - 24, x + t = -t + 8. Let k(g) = g**3 - g + 15. What is the remainder when k(0) is divided by x?
7
Let c = 639 - 437. What is the remainder when c is divided by 29?
28
Let i(j) = j**3 - 2*j**2 + 2. Let a(n) = n**2 - 10*n - 47. Calculate the remainder when i(4) is divided by a(14).
7
Let h = 24 + -2. Calculate the remainder when h is divided by 8.
6
Suppose -27 - 208 = -5*p. Suppose 4*m = -4*t + 156, -m + 6*m = -t + p. Let s = -9 + t. What is the remainder when s is divided by 10?
8
Suppose -9*m - 18 + 18 = 0. Let z = -9 + 18. Suppose -4*t + m*s = -3*s - z, 5*t - 25 = s. Calculate the remainder when t is divided by 4.
2
Let s be (4/10)/((-2)/(-50)). Suppose 0 = 4*k - 14 - 2. What is the remainder when k is divided by ((-8)/s)/(4/(-10))?
0
Suppose -w - 3 = -3*i + 81, 3*i - 78 = -w. Suppose n = i + 31. Calculate the remainder when n is divided by 60/(-3)*(0 - 1).
18
Let h = 18 + -12. What is the remainder when 4/8*(25 + -3) is divided by h?
5
Let x = 16 - -34. Calculate the remainder when x is divided by 17.
16
Let k = -80 + 119. What is the remainder when k is divided by 8?
7
Suppose 3*m - 2*x = 51, 0 = -0*m - 5*m + 3*x + 86. What is the remainder when m is divided by 132/24*(-1 - -3 - 0)?
8
What is the remainder when 45 is divided by (-3)/4 - 134/(-8)?
13
Let q = 152 + -245. Let i = -50 - q. What is the remainder when i is divided by 15?
13
Suppose -l - 2*n - 23 = -6*l, -7 = 3*l + 4*n. What is the remainder when 7 is divided by l?
1
Let p(n) = n**2 - 4. Calculate the remainder when p(-3) is divided by 2.
1
Let k(h) = -h**3 + 3*h**2. Let i be k(3). Suppose -4*a + 47 + 9 = i. What is the remainder when 39 is divided by a?
11
Suppose 10*b - 5*b = 65. Calculate the remainder when 37 is divided by b.
11
Let v(b) = -b + 4. Let a(s) = -3*s + 12. Let f(o) = 4*a(o) - 11*v(o). What is the remainder when f(-13) is divided by 9?
8
Let y(v) = v**2 - 3. Let s = 2 + 5. Let i = s - -3. Calculate the remainder when i is divided by y(-3).
4
Let h(i) = -7*i + 14*i + 7 - 2*i**2 + i**2. Let j be h(-5). Let n = j + 93. What is the remainder when n is divided by 14?
12
Suppose -2*c = 2*m - 16, 2*c - 7 = -5*m - 3. Suppose 0*g + 2*g = 6. What is the remainder when (-4)/(-6) - (-97)/g is divided by c?
9
Suppose 8*s - 4 = 4*s. Let b(c) = 12*c**2 - 2*c + 1. What is the remainder when b(s) is divided by 3?
2
Suppose -87 = 7*d - 206. Let o(z) = 2*z - 6. Calculate the remainder when d is divided by o(6).
5
Suppose 0*v + 4 = v. Suppose m - 9 + 1 = -3*l, 21 = v*m + l. Calculate the remainder when m is divided by 2.
1
Let y = -8 - -2. Calculate the remainder when (3/y)/(3/(-60)) is divided by 18/(-1 + 4) + -2.
2
Let f(a) = -a**2 + 13*a - 9. What is the remainder when 131 is divided by f(6)?
32
Let k(i) = 3*i**3 - 2*i**2 + 3*i - 2. Let a = -6 - -8. Calculate the remainder when 39 is divided by k(a).
19
Calculate the remainder when 27 is divided by ((-40)/(-12))/((-2)/(-6)).
7
Suppose -3*h + 2*t = 6*t - 169, h - 3*t - 52 = 0. Calculate the remainder when h is divided by 14.
13
Let k(o) = 3*o + 2. Let m(y) = 3*y**2 - 5*y + 6. Let i be m(5). What is the remainder when k(3) is divided by i/10 - 4/(-10)?
5
Suppose 5*q = 16 - 1. What is the remainder when 16 is divided by q?
1
Suppose -3*c + 25 = 2*c, -3*u - 4*c = -143. Let p = 98 - u. What is the remainder when p is divided by 15?
12
Let o(p) = 4*p. Let w(u) = 5*u + 1. Let m(d) = 4*o(d) - 4*w(d). Let g be m(6). Let r = -7 - g. What is the remainder when r is divided by 8?
5
Suppose 0 = -4*s - s + 60. Calculate the remainder when 32 is divided by s.
8
Suppose 0 = r - t + 1, 5*r - 6*r + 4*t - 16 = 0. Suppose 5*g - f + 33 = 3*g, r*f = g + 20. Let b = -2 - g. Calculate the remainder when 27 is divided by b.
13
Suppose 0 = -2*y - 5*k + 2*k + 12, y - 4*k - 28 = 0. Calculate the remainder when (2/(-1))/(2/(-22)) is divided by y.
10
Let t(m) = -m**3 - 2*m**2 - 2. Let r be (-2)/5 - (-48)/(-30). Let u be t(r). What is the remainder when 2 is divided by -3 + 6 - u/(-2)?
0
Let g = -22 + 12. Let k(d) = d**2 + 5*d + 9. What is the remainder when k(-8) is divided by g/(-35) - (-117)/7?
16
Suppose 5*a = 66 + 24. Let t = -25 - -36. Calculate the remainder when a is divided by t.
7
Let k(n) = n + 10. Let f(l) = -l**3 + 11*l**2 - 11*l + 1. Let p be f(10). What is the remainder when 3 is divided by k(p)?
0
Calculate the remainder when 63 is divided by ((-8)/2)/(-8)*34.
12
Let z = -8 + 12. Let y(v) = v + 2. Let l be y(-2). Suppose l*t + t = 7. Calculate the remainder when t is divided by z.
3
Suppose 0 = -4*s - 4*v + 24, -2*s - v + 3*v = 0. Let b = -2 - -4. Calculate the remainder when s is divided by b.
1
Suppose -4*s + 425 = 3*x, -4*s + 0*x = 4*x - 420. Calculate the remainder when s is divided by 38.
34
Let r(l) = -2*l**2 - 20*l + 7. What is the remainder when 12 is divided by r(-10)?
5
Let j(l) = -2*l**2 - 7*l + 1. Suppose -4*y - 18 + 42 = 0. Suppose 2*m - y - 14 = 0. Calculate the remainder when m is divided by j(-3).
2
Suppose -6 = 3*s - 120. Suppose -3*l - 26 = -68. Calculate the remainder when s is divided by l.
10
Let p(z) = -2*z + 2. Let s be (13/(-3))/(2/(-12)). Let x = s + -3. What is the remainder when x is divided by p(-3)?
7
Let b = 178 + -127. Let g = -20 + b. Suppose o = -5*i + g, 5*o = -3*i - 0*i + 67. What is the remainder when 32 is divided by o?
10
Let x(j) = -j - 5. Let v be x(-8). Let n(h) = -h**3 + 3*h**2 + 3*h - 3. What is the remainder when 15 is divided by n(v)?
3
Let n = 3 - -34. Let g(f) = -5*f**3 + 2*f**2 - 14*f**3 - f + 0*f**2 - 3*f**2. Calculate the remainder when n is divided by g(-1).
18
Let t(j) = -1 - j**2 + 2*j**2 - j + 4*j**2. Suppose -n - 1 = 4, -5*n + 27 = 4*o. What is the remainder when o is divided by t(-1)?
3
Let h(d) = 2*d**2 - 4*d. Let o = -7 - -10. Let q be h(o). Suppose -12 = 4*c - q*c. What is the remainder when 16 is divided by c?
4
Suppose 0 = -0*h - h + 4. Suppose -3*z - 22 = -2*t, -8*t + 5*z = -3*t - 60. What is the remainder when (-564)/(-14) - h/14 is divided by t?
12
Let u(i) = -23*i - 1 + 2 + 14*i. Calculate the remainder when u(-8) is divided by 25.
23
Let f(w) = -3*w + 1. What is the remainder when f(-12) is divided by 10?
7
Suppose -7*a = i - 3*a, -4*i + 3*a = -19. Suppose -3*b = -3*d + 2*d - 20, -5*b = 4*d - 22. Suppose h - 3*h = -b. Calculate the remainder when i is divided by h.
1
Suppose 6*a - 4*a = 64. Suppose 2*v + 129 - 11 = 4*r, -a = -r + 3*v. Let h = 20 + -10. Calculate the remainder when r is divided by h.
9
Suppose -f + 2*h + 0*h + 5 = 0, 5*h + 9 = -f. Suppose -i + p - 6 = -3, -3*i - 19 = -5*p. Suppose -f - 9 = -i*x. Calculate the remainder when 14 is divided by x.
4
Let n = 8 - -5. What is the remainder when n is divided by 8?
5
Let d = 14 - 11. What is the remainder when 6 is divided by d?
0
Let a = 6 + 3. Calculate the remainder when 33 is divided by a.
6
Let f be (-9)/(-63) - (-26)/14. Let q = -1 + 1. Calculate the remainder when 14 is divided by (q - -1)*(2 + f).
2
Suppose -2*a = 2*a - k - 95, 5*a + 2*k = 109. Suppose -h = -4*h - 6, 0 = -v - 5*h - a. Let n = 23 + v. Calculate the remainder when n is divided by 4.
2
What is the remainder when 21 is divided by (-3)/21 + (-86)/(-14)?
3
Suppose -3*i - 8*o = -3*o - 19, 2*o + 8 = 4*i. Suppose i*y - 4 = 11. Let w(b) = -b**2 + 7*b - 6. What is the remainder when 6 is divided by w(y)?
2
Suppose 18*p = -3*g + 13*p + 9, 5*g + 4*p - 15 = 0. Let v be -1*(0 + 1 - 2). Calculate the remainder when (7*-1)/(v/(-1)) is divided by g.
1
Suppose 5*j = -3*h - 0*h + 51, -2*h + 30 = 3*j. Suppose -5*l + 8 = -j. Let k(w) = w**2 + 4*w + 3. Calculate the remainder when l is divided by k(-4).
1
Let u = -36 + 70. Suppose 3*j + 0*p - 4*p = 31, -4*p = -5*j + 41. Suppose -3*o + 46 = -5*a, o = j*a + 2 + 20. What is the remainder when u is divided by o?
10
Let f = -1 + 11. Suppose -5*u + 4*u + 3 = 0. Let v = 9 - u. Calculate the remainder when f is divided by v.
4
Suppose 3*j = 6, 7*y - 3*j = 2*y + 384. Calculate the remainder when y is divided by 40.
38
Let g(c) = c + 4. Suppose 1460 + 91 = -3*t + 3*w, -t = w + 521. What is the remainder when 6/(-27) - t/27 is divided by g(3)?
5
Let k be 2/5 + (-438)/(-30). Suppose -5*o = -5 - k. What is the remainder when o is divided by 3?
1
Suppose 