Suppose -3*l + 2*l = 13. Let t = 77 + l. What is the remainder when t is divided by 22?
20
Let h be ((-3)/(-2))/(6/(-8)). What is the remainder when 47 is divided by (-2)/(45/24 + h)?
15
Let c(i) = 2*i**2 + 2*i - 2 - 1 + 0*i + 4*i. Calculate the remainder when ((-96)/(-15))/((-1)/(-5)) is divided by c(-5).
15
Suppose -3 - 5 = -l. Suppose 6 + 0 = 2*a. Suppose -2*y + 5*r + 46 = 0, a*y + r + 4*r = 69. Calculate the remainder when y is divided by l.
7
Let n = 99 + 33. Calculate the remainder when n is divided by 19.
18
Let o = -13 + 25. Let x = 5 - 3. Suppose -x*b + 38 = 3*i, -5*b + 3*i = -10*b + 104. What is the remainder when b is divided by o?
10
Suppose a - 11 = 3*t + 6, a + 2*t + 8 = 0. What is the remainder when 2 is divided by a?
0
Suppose 3*x - 2*u - 513 = -73, 286 = 2*x - 5*u. Let d = x + -87. What is the remainder when d is divided by 16?
13
Let x(p) = -12*p - 4. What is the remainder when x(-4) is divided by 15?
14
Suppose -2*t - l + 134 = -5*l, -l = -4*t + 275. Calculate the remainder when t is divided by 36.
33
Let r(m) = -3*m + 1. Let l(a) = 37*a**2 + 1. Calculate the remainder when l(1) is divided by r(-3).
8
Suppose 0 = 13*m - 4 - 3857. What is the remainder when m is divided by 20?
17
Let y(u) = -u**3 + 9*u**2 + 12*u - 11. Calculate the remainder when 12 is divided by y(10).
3
Calculate the remainder when 158 is divided by (-2400)/(-72) - 4/3.
30
Let b(d) = -6*d**3 + 2*d**2 - 2*d + 1. Let v be b(1). Let r be v/(-3) + (-2)/(-6). Calculate the remainder when (24/(-18))/(r/(-15)) is divided by 4.
2
Calculate the remainder when 12 is divided by 85/10 + ((-3)/(-2) - 2).
4
Suppose c = 86 - 8. Calculate the remainder when c is divided by 40.
38
Calculate the remainder when -1 + 65 - (-2 + 6) is divided by 16.
12
Suppose c - 2*c = 0. Suppose 4*r + r = c. Suppose -2*x - 5*o - 1 = 2, r = 3*o + 15. What is the remainder when x is divided by 6?
5
Let l(f) = -f**3 - 6*f**2 - 6*f + 6. What is the remainder when 43 is divided by l(-5)?
10
Suppose -11 = g + 2*b, -3*b + 20 = -5*g - 6*b. Let w(z) = 15*z**2 + z + 1. Calculate the remainder when 56 is divided by w(g).
11
Suppose -h - 5 = 0, -5*h = 4*r - 0*r + 13. What is the remainder when 14 is divided by r?
2
Let f(c) = c**3 - 4*c**2 + 2*c - 3. What is the remainder when 18 is divided by f(4)?
3
Let y(l) = -48*l + 5. What is the remainder when 315 is divided by y(-1)?
50
Let w be 1 - (0 - 2)/2. Suppose w*c - 4*j = 7*c - 140, -5*j - 71 = -4*c. What is the remainder when c is divided by 9?
6
Let y = 11 + -8. Calculate the remainder when 23 is divided by 4 + -4 + 3 + y.
5
Let m(o) = -o + 11. Let z = 3 - 3. Suppose z = q - 6*q. Calculate the remainder when 32 is divided by m(q).
10
Suppose 28 = -3*n - 0*n + 4*r, 2*n + 4*r = 8. What is the remainder when 2/n*0 - -22 is divided by 8?
6
Suppose 3*a - 59 - 52 = 0. What is the remainder when a is divided by 19?
18
Suppose -3*p - 13 + 70 = 5*x, -p - 3*x = -15. What is the remainder when p is divided by 7?
3
Suppose -3*n - 14 = 4*w - 5*n, -w + n = 1. Let z(i) = -8*i + 10. What is the remainder when z(w) is divided by 20?
18
Let u(o) = 4*o**2 - 4*o + 5. Calculate the remainder when u(3) is divided by 5.
4
Suppose -4*w - 31 = -3*f, 4*f + f + 5*w - 75 = 0. Calculate the remainder when 40 is divided by f.
1
What is the remainder when 75 is divided by (-42)/(-9)*((-9)/(-2))/1?
12
Suppose h + 4 - 8 = 0. Suppose -3*b = 0, -b + 6 = 3*c - 0*b. What is the remainder when h is divided by c?
0
Suppose 5*v - 47 - 23 = 0. Let s = 60 - 7. Calculate the remainder when s is divided by v.
11
Suppose 2*s - 7*s - 57 = -u, -2*s = -4*u + 246. Calculate the remainder when u is divided by 7.
6
Let g(k) = -2*k + 5. Let u be 1/(1/(-59))*-1. Let l = -31 + u. What is the remainder when l is divided by g(-5)?
13
Let o(k) = -11*k - 3. Let u = 17 + -9. Suppose v + u = -3*v. What is the remainder when o(v) is divided by 10?
9
Let r(n) = -11*n - 4. Let g be r(-6). Suppose -p + 29 = 4*o, 16 + g = 4*p - 3*o. Let l(q) = -64*q - 2. What is the remainder when l(-1) is divided by p?
20
Suppose -2 = -4*y + 18. Calculate the remainder when y is divided by 3.
2
Let n = -116 - -120. Calculate the remainder when 29 is divided by n.
1
Let i(b) = b**3 - 4*b**2 + 3*b + 1. Let v be i(5). Let w = v - 23. Suppose -4*o + 371 = 3*o. What is the remainder when o is divided by w?
17
Suppose 1 = 3*d - 29. Calculate the remainder when 33 is divided by d.
3
Suppose -7*v = -5*v - 18. Let x(a) = 0*a + a**2 - 7*a - 1 + 2. Calculate the remainder when x(v) is divided by 7.
5
Suppose -m = -4*v - 39 - 87, 2*v = 5*m - 594. Calculate the remainder when m is divided by 41.
36
Let w = 44 - 29. What is the remainder when 29 is divided by w?
14
Let n(w) = 120*w - 3. Calculate the remainder when n(1) is divided by 24.
21
Let p be (-1 + 4)*(0 + -17). Let t be 2/4 - p/2. Suppose 0 = 4*y - 6*y + t. What is the remainder when 24 is divided by y?
11
Let h(y) = -y**2 + 3*y + 4. Let w be h(5). Let z be 3*-1*(3 + w). Suppose -3*p + z = 0, -3*p - 21 = -5*r - 0*p. What is the remainder when 17 is divided by r?
5
Suppose 4*h - 314 = -2. Calculate the remainder when h is divided by 20.
18
Let g(r) = r + 7. Let y be (2/3)/((-4)/(-30)). What is the remainder when g(y) is divided by 7?
5
Suppose -x + 9 = m, -m - 3 = -3*x + 2*m. Suppose 0 = -4*w + x*d + 38, 0*w + 3*d - 8 = -2*w. Calculate the remainder when w is divided by (-4)/(-10)*(-75)/(-10).
1
Suppose 2*a = -5*x + 125, -3*a + 26 = 2*x - 24. What is the remainder when x is divided by 10?
5
Suppose 4*f + j = 33, -4*f + 3*f + 18 = -3*j. Let n = f + -2. Let p = n + 2. What is the remainder when p is divided by 6?
3
Suppose 3*k - 2*i = 691, -3*k + 3*i - 2*i + 686 = 0. What is the remainder when k is divided by 38?
37
Suppose -7*z + 5 = -2*z. What is the remainder when 6*z/(-8)*-72 is divided by 14?
12
Suppose -y = 3*y. Suppose -4*a + 11 + 5 = y. Let w(h) = 2*h**2 - 2*h - 2. What is the remainder when w(-2) is divided by a?
2
Suppose 2*k - 2*n - 34 = 0, -3*k + n + n + 46 = 0. Let a(q) = q**2 - 8*q + 13. Calculate the remainder when a(9) is divided by k.
10
Suppose 3*z - 44 - 12 = 5*i, z + 4*i = -4. What is the remainder when 33 is divided by z?
9
Let j(l) = 3*l + 3. Let s(p) = -6*p - 7. Let f(q) = -9*j(q) - 4*s(q). Let c be f(1). Calculate the remainder when ((-24)/(-9))/(c/(-27)) is divided by 13.
10
Suppose o + 1 - 6 = 0. Let f(l) = l. What is the remainder when 9 is divided by f(o)?
4
Let i(k) = -k**3 - 7*k**2 - 3*k - 10. What is the remainder when (4/6)/((-4)/(-114)) is divided by i(-7)?
8
Let a(s) = -s**2 + 14*s - 25. Let v = -111 - -156. Calculate the remainder when v is divided by a(8).
22
Let d(s) = 6*s - 6. Let m be 41/2 - 2/(-4). Suppose -2*p + m = 7. What is the remainder when d(p) is divided by 19?
17
Let u(w) = -w**3 - 12*w**2 - 15*w + 5. Let x be u(-12). What is the remainder when ((-1)/1)/1*-23 is divided by 6/10 + x/25?
7
Suppose 5*g - 1 = 2*l - 11, 0 = -l + 5*g + 10. Suppose 4*z + z - 115 = l. Calculate the remainder when z is divided by 6.
5
Let y(c) be the second derivative of c**4/6 + 5*c**3/6 + 2*c**2 + c. Suppose -3*k - 8 = 4. What is the remainder when y(k) is divided by 6?
4
Let h = 8 + 6. Let y be 1/(-2)*-2*1. Let u = 41 - y. What is the remainder when u is divided by h?
12
Let o(w) = -w. Let g(x) = -x**2 + 5*x + 2. Let y(j) = g(j) + 6*o(j). Let r be y(0). What is the remainder when 34 is divided by 1/((-38)/(-18) - r)?
7
Let l(t) = 2*t**2 - t + 7. Calculate the remainder when 85 is divided by l(3).
19
Let i = -36 + 68. Let w(f) = f - 6. Let x be w(-6). Let p = 29 + x. What is the remainder when i is divided by p?
15
Calculate the remainder when 20 is divided by 14 + ((-4)/(-2) - 5).
9
Let x = -13 - -23. What is the remainder when 98 is divided by x?
8
Let u(x) = -x**2 - 10*x + 9. Calculate the remainder when u(-9) is divided by 7.
4
Let x = 2 - 2. Suppose -30 = -x*d - 2*d. Suppose 5*m = d, f = m + 15 - 4. What is the remainder when 41 is divided by f?
13
Suppose -3*a + 11 + 4 = 0. Suppose -a*w - 2*l - l = -8, w = -4*l - 12. Let v(y) = -8*y**3 - y**2 + y + 1. What is the remainder when v(-1) is divided by w?
3
Suppose -q + 4*m + 3 = 3*m, -1 = -2*q + m. Suppose -4*a - 72 = -4*d, -3*d + 2*a - 19 + 73 = 0. What is the remainder when d is divided by (-20)/q - 0/1?
8
Su