y (-42 - -8)/(-2*1).
14
Suppose 2*l - 144 = -l. Suppose 0 = -4*f + 6*f - l. What is the remainder when 70 is divided by f?
22
Suppose 215 = 2*t + 3*t. Let c(g) = -g**2 + 5. Let y be c(-8). Calculate the remainder when t is divided by y/(-4) + 2/8.
13
Suppose 2*r - 300 = -0*u + 4*u, 4*r = -u + 564. Calculate the remainder when r is divided by 29.
26
Let b(k) = -k**3 + 8*k**2 - 7*k + 9. Let i(q) = q**3 + 7*q**2 - q. Let m be i(-7). What is the remainder when 17 is divided by b(m)?
8
Suppose p - 4*p + 6 = 0. Calculate the remainder when p/8 - (-765)/12 is divided by 22.
20
Let o(y) = -4*y + 4. Let b be o(-5). Suppose 0 = -5*g + 10, -5*v + 0*g + 105 = -5*g. Calculate the remainder when v is divided by (-1)/(2 - 51/b).
7
Let w(y) = y**2 - 2*y - 8. Calculate the remainder when 62 is divided by w(6).
14
Let z be 7 + (2*-2)/2. What is the remainder when z - (1*-2 - 0) is divided by 4?
3
Suppose 4*a + 5*b = 2*a + 6, -4*b - 8 = 0. Let u(x) = x**2 - x - 7. Let y(c) = -4*c - 2. Let f be y(-2). Calculate the remainder when u(f) is divided by a.
7
Let d be 178/9 - (-24)/108. Let w = -9 + d. What is the remainder when w is divided by 5?
1
Suppose -3*g + 10 = 5*t + 1, -5*t - 3 = -g. Suppose 96 = g*x - 0*x. What is the remainder when x is divided by (10/15)/(2/51)?
15
Let k = -72 - -88. Calculate the remainder when 75 is divided by k.
11
Suppose 0 = 2*z + 3*z - 60. Suppose 4*a - a = -2*w - 1, -2*a - 3 = -w. Calculate the remainder when a/4 + 63/z is divided by 2.
1
Let v(w) = -5*w + 12. Let a(k) = -k + 1. Let t(d) = -6*a(d) + v(d). Let z be ((-16)/10)/((-3)/15). Calculate the remainder when 41 is divided by t(z).
13
Let w(l) = -4*l + 12. Let p = 7 - 4. Let k = p + 4. What is the remainder when w(0) is divided by k?
5
Let x(h) = 208*h - 1. Let d be x(1). Suppose 18*m - d = 15*m. Calculate the remainder when m is divided by 18.
15
Let r = -18 + 47. Suppose -5*q = y + 3*y - r, -25 = -5*y + 5*q. Calculate the remainder when 17 is divided by y.
5
Suppose -17 = -5*y + 4*y. What is the remainder when (9 + 40)/(0 + 1) is divided by y?
15
Suppose 85 = 2*i - 4*n - 43, -3*i - 3*n + 165 = 0. Suppose 0 = 4*a - 68 - 12. Calculate the remainder when i is divided by a.
18
Suppose 3*n - 40 + 4 = -f, -3*f = -4*n - 147. Suppose 14 = -4*w + 2*t + 2, 0 = -w + 5*t + 15. Let c = w - -17. What is the remainder when f is divided by c?
9
Let s be 5*1/(5/6). Suppose 4*v - 4 = s*v. Calculate the remainder when 16 is divided by ((-6)/(-5))/(v/(-10)).
4
Suppose 4*z - 4 = 0, 3*s + z + 3*z = 37. What is the remainder when s is divided by 3?
2
Suppose 0 = -5*j + j - 8, 7 = 3*p + j. Let m(w) = 3*w**2 - 3*w - 4. Calculate the remainder when 25 is divided by m(p).
11
Let t = -2 - 7. What is the remainder when ((-8)/3)/(3/t) is divided by 2?
0
Suppose -4*j + 42 + 6 = -4*x, -2*j - 2*x = -12. Let v(l) = l**2 - 3. Calculate the remainder when j is divided by v(-3).
3
Suppose 0 = -4*w + 3*w + 22. Calculate the remainder when 39 is divided by w.
17
Suppose 4*a - 18 = 26. What is the remainder when a is divided by ((18/(-7))/(-3))/((-4)/(-28))?
5
Let a(u) = u. Suppose 4*i = -2*k - 26, -i = -k + 4*k - 6. Let q = -7 - i. What is the remainder when 3 is divided by a(q)?
1
Let v(s) = -s**3 - 5*s**2 + 6*s + 7. Let w(z) = z**2 + 4. Calculate the remainder when w(4) is divided by v(-6).
6
Suppose 8 = -w + 3*w. Suppose -3*g + 46 = 4*x, -4*x - 9 = w*g - 69. Suppose -2*d + d = -g. What is the remainder when 27 is divided by d?
13
Suppose 3 = -3*h, 4*l - h - 3*h = 48. Suppose 0 = 3*o - 5*x + 9, 5*o + 15 = -2*x. Let k = o - -6. What is the remainder when l is divided by k?
2
Suppose -3 = 3*t, -6*t - 3 = 2*n - 3*t. Suppose -v + 12 = -n. Calculate the remainder when 22 is divided by v.
10
Let m(s) = s**3 - 2*s**2 - 7*s + 2. Let l = 10 + -5. What is the remainder when m(l) is divided by 15?
12
Suppose -6*k = 6*k - 108. Calculate the remainder when 16 is divided by k.
7
Suppose -3*u + u = -2*g + 178, -4*u + 104 = g. Let o = -63 + g. What is the remainder when o is divided by 15?
14
Suppose 31 + 33 = 2*z. Calculate the remainder when z is divided by 21.
11
Let c = 14 + -11. What is the remainder when 13 is divided by c/21 - 48/(-7)?
6
Suppose 0 = -3*c - 3*v - 54, 0 = -c + 3*v + 2*v - 42. Let h(u) = 13*u + 8. Let f be h(4). Let m = c + f. Calculate the remainder when m is divided by 13.
12
Let u(n) = -9*n - 8. Suppose 0*z + 2*z - 24 = 0. Calculate the remainder when u(-6) is divided by z.
10
Let r(i) = -i**3 + 6*i**2 + 6*i. What is the remainder when r(5) is divided by 19?
17
Let q(v) = -v**3 + 10*v**2 - 4*v + 11. Suppose 3*j = -2*t + 68 - 21, 3*t = -5*j + 72. Calculate the remainder when q(9) is divided by t.
18
Let y(n) be the third derivative of n**6/120 - n**5/12 - n**4/4 + 5*n**3/2 - 8*n**2. What is the remainder when 43 is divided by y(6)?
13
Let y = 31 + -4. Let x = 1 + 1. Suppose -x*w + 3*w = 4*o - 1, 2*w = 5*o + 10. Calculate the remainder when y is divided by w.
12
Calculate the remainder when 0 + -5 + 2 + 153 is divided by 38.
36
Let u(i) = -2*i - 13. What is the remainder when 74 is divided by u(-19)?
24
Let k(l) = l**3 - 6*l + 1. What is the remainder when 78 is divided by k(3)?
8
Let f(m) = -m + 9. Let c be f(7). Suppose 5*u - 3*l - 265 = 0, -c*u - l = l - 90. What is the remainder when u is divided by 13?
11
Let y = 110 + -73. Let b(f) = -f**3 + 15*f**2 + 17*f - 3. Calculate the remainder when y is divided by b(16).
11
Suppose -3*d + 8*d - 65 = 0. Let k be (1/2)/((-6)/(-48)). Calculate the remainder when d is divided by (-10)/k*(3 - 5).
3
Let t = -2 + 8. What is the remainder when 20 is divided by t?
2
Let t = 175 + -125. Calculate the remainder when 25 is divided by t/7 - 1/7.
4
Suppose 0 = 5*c - 2*c - 84. What is the remainder when 53 is divided by c?
25
Calculate the remainder when 76 is divided by 18 + 0 + (20 - 18).
16
Let a be (2 + -4)/((-2)/2). Let z be 15*(-2 - -5)/9. Suppose -a*d - 87 = -z*d - 4*f, -4*f + 29 = d. What is the remainder when d is divided by 15?
14
Let d(c) = 7*c. Calculate the remainder when 20 is divided by d(1).
6
Let n(s) = 4*s + 37. Let b(y) = 11*y - 6. What is the remainder when b(5) is divided by n(-6)?
10
Let k(u) = 7*u - 7. Let p be k(7). Suppose -4*l + 4*z + p = -14, 2*z + 58 = 4*l. Calculate the remainder when 43 is divided by l.
13
Let w = -15 - -38. Calculate the remainder when w is divided by 8.
7
Let n(a) = a**3 + 4*a**2 - 5*a + 1. Let j = 18 + -12. Let f = j + -11. Calculate the remainder when n(f) is divided by 1.
0
Suppose 2*r - 2*o = -6, -3*r + 0*r - 3*o + 21 = 0. Suppose -3 = -5*a + r*a. Let d = -24 - -26. What is the remainder when d is divided by a?
0
Suppose d = 2*d - 267. Calculate the remainder when 2/(-8) - d/(-12) is divided by 10/(-35) - 86/(-7).
10
What is the remainder when 29 is divided by ((-40)/(1 - 3))/2?
9
Let r = 15 - 12. Suppose -3*p - p = -4*d - 48, 3*p + r*d = 36. Calculate the remainder when 47 is divided by p.
11
Suppose 0 = -5*p + o + 14, 0*o + 3 = 3*o. Suppose t - 60 = -p*l + 18, -l + 26 = -2*t. Calculate the remainder when l is divided by 7.
5
Suppose 0 = -4*h - g + 29, h = -2*g + 10 - 1. Let w = -8 + h. What is the remainder when 22 is divided by w/(-6) - (-188)/24?
6
Let p(g) = 5*g + 3*g - 4 - 2. Let f(h) = h**2 - 2*h - 2. Calculate the remainder when p(6) is divided by f(6).
20
Suppose 0 = 7*n - 2*n - 50. Let w(z) = z + 12. Let j be w(-11). Let y(a) = 4*a. What is the remainder when n is divided by y(j)?
2
Suppose 2*d + 3*m - 2 = 5*m, -3*d - 5*m = 5. Let v(u) = u + 20 - 3*u + 3*u. Calculate the remainder when 39 is divided by v(d).
19
Suppose 0 = 4*q - 3*q - 4*m - 34, q = -m + 14. Calculate the remainder when q is divided by 10.
8
Let s be 3 - (3 - (2 + 1)). Suppose -32 = -5*t + s*t. What is the remainder when t is divided by 9?
7
Suppose 4*v = -3*n + 291, n = -5*v - 3*n + 365. Calculate the remainder when v is divided by 14.
13
Suppose -x - 5*j + 10 = 0, 4*x + 5*j + 1 = 41. Suppose -2*n - 2*n - 8 = 0, -2*h - n + 56 = 0. Calculate the remainder when h is divided by x.
9
Suppose 137 = 5*c + 57. Calculate the remainder when -2 + 2/(6/141) is divided by c.
13
Let y(h) = 0 + 26*h + 0 + 6*h. What is the remainder when y(1) is divided by 11?
10
Suppose 58 + 50 = 4*g. Let z = 16 + -1. Calculate the remainder when (58/3)/(18/g) is divided 