vided by x.
6
Let d(g) = -6*g + 3. Let m be d(5). Let z = -26 + -25. Let l = m - z. What is the remainder when l is divided by 13?
11
Let o = 18 + -12. Suppose 0*n = 3*n - o. What is the remainder when 29 is divided by (-1 + 6)*6/n?
14
Let z = 2 - -1. Suppose 0 = -2*j + z*j - 18. Suppose -4*r - 13 = -153. What is the remainder when r is divided by j?
17
Let z(k) = 3*k - 6 + 2*k + 3*k. Let l be z(4). Let t = l + -1. Calculate the remainder when t is divided by 13.
12
What is the remainder when 39 is divided by 130/12 - 1*6/(-36)?
6
Suppose -2*a + 56 + 38 = 0. Suppose 4*d - a = -3*r - d, 4*r - 53 = 3*d. What is the remainder when 40 is divided by r?
12
Let n(g) = -g**3 + 14*g**2 + 16*g - 17. Let i be n(15). What is the remainder when -9*(-2 - -8)/i is divided by 7?
6
Let a = -113 - -168. What is the remainder when a is divided by 14?
13
Suppose -5*y + 0*y + 171 = 3*n, -5*y = 15. Calculate the remainder when n is divided by 11.
7
Let z(n) = -4*n**2 - 2*n - 3. Let t be z(3). Suppose 17 = 4*i - 243. Let c = t + i. What is the remainder when c is divided by 7?
6
Suppose j = -4*w + 3*j + 36, -2*w + 14 = j. Calculate the remainder when 30 is divided by w.
6
Suppose 0 = 3*q + 3*f - 24, q = -0*q + 3*f - 8. What is the remainder when 11 is divided by q?
3
Suppose 2*y - 2*l = 12, -l = 2*y - 4*y + 13. Let t(k) = k + 7. Let a be t(-6). Let q = 11 + a. Calculate the remainder when q is divided by y.
5
Suppose -4*m - m + 9 = -4*t, 2*m = t + 6. What is the remainder when 19 is divided by m?
4
Let d = 1 + 0. Let f = d + -1. Suppose q - 4*q = 2*l - 102, f = 5*q - 2*l - 154. Calculate the remainder when q is divided by 17.
15
Let q = 33 - 10. Suppose -3*v = -3*u - 24, -4*u + 2*u + 14 = 3*v. Suppose 72 = v*n - 0*n. Calculate the remainder when q is divided by n.
11
Let d(r) = r**2 + 3*r + 6. Let a be d(-4). Suppose 0 = 5*i - 0 - a. Suppose -3*j + 2 = -i*j. What is the remainder when 5 is divided by j?
1
Let h(b) = -b**3 + b**2 - 2*b - 3. Suppose -4*d - 6 = 2. Calculate the remainder when 51 is divided by h(d).
12
Let l(m) = -m + 20. What is the remainder when 22 is divided by l(8)?
10
Let f = 121 + -57. Let d = f + -26. What is the remainder when d is divided by 3/(-6) - 81/(-6)?
12
Let y(a) = 5*a + 5. Let i(p) = -11*p - 11. Let z(s) = 4*i(s) + 9*y(s). What is the remainder when z(11) is divided by 5?
2
Let z(f) = -f**3 + 4*f**2 + 6*f - 3. Calculate the remainder when (-77)/(-55) + (-6)/(-10) is divided by z(5).
0
Suppose -4*s = -v + 23, 6*v - 37 = 2*v + 5*s. Suppose 4*p + h + 7 = 26, -3*p - v = -5*h. Suppose -3*g = g - 8. What is the remainder when p is divided by g?
0
Let v(k) = -k**3 - k**2. Let c be v(-2). Let q be (1 + -2)/(c/(-20)). Suppose q*h = 6*h - 18. Calculate the remainder when 35 is divided by h.
17
Calculate the remainder when (18/12)/((-1)/(-18)) is divided by 10.
7
Let i(q) = q**2 + 8*q + 7. Let x be i(-7). Calculate the remainder when (x + 1)/(1/9) is divided by (3/(-2 - -8))/(6/60).
4
Suppose 16 - 70 = -3*x. Let d be 933/7 - 12/42. Suppose -132 = -5*f + d. Calculate the remainder when f is divided by x.
17
Suppose -3*s + 50 = -p, 2 = -s + 8*p - 3*p. Let r = -23 - -33. What is the remainder when s is divided by r?
8
Let q = 3 + 0. Let t(l) = -6*l - 6. Let h be t(-5). Suppose -v = -q*v + h. Calculate the remainder when 35 is divided by v.
11
Suppose 4*g = -5*m + 16, -3*g + 3 = 2*m - 2. Suppose -5*f = m - 34. Let z = f + 9. Calculate the remainder when 57 is divided by z.
12
Suppose -2*q + 23 + 39 = 0. Calculate the remainder when q is divided by 16.
15
Calculate the remainder when 63 is divided by 3/7 - (-1359)/63.
19
Let n be (-80)/(-12) + 2/(-3). Let a = n - 5. Calculate the remainder when a is divided by 4/(-1 - 1) - -3.
0
Suppose -2*k - 4 + 20 = 0. Let p(a) = a + 2. Calculate the remainder when 49 is divided by p(k).
9
Suppose 245 = 5*f - 10. Let x(y) = 18*y**3 - y**2 + y. Calculate the remainder when f is divided by x(1).
15
Suppose -2*b - 2*b = 0. Let s be b/1*2/(-4). Suppose 2*m = -t, -5*m + s*m = -5*t + 60. What is the remainder when 23 is divided by t?
7
Let r(m) = 4*m**2 + m. Let n be r(1). Suppose -n*x = -4*w + 306, -2*w - 3*w + 393 = -x. What is the remainder when w is divided by 27?
25
Let w(f) = f**2 - 3*f + 10. Calculate the remainder when w(-4) is divided by 10.
8
Let h(i) = i**2 - 4*i + 1. Let d be h(5). Let m(f) = 2*f - 3. What is the remainder when 26 is divided by m(d)?
8
Let b = 39 - 24. Suppose -p + b = 2*p. Suppose -4*n + r = p*r - 24, 4*r + 40 = 4*n. What is the remainder when 21 is divided by n?
5
Let b(g) = -g + 8. Let w be b(5). Suppose -53 = -5*i - w. Calculate the remainder when 18 is divided by i.
8
Let i be (-2)/((-2)/3) + 0. Suppose -5*m + 16 = -3*j, 0 = -i*j - m - m + 19. Let u = -119 - -124. What is the remainder when u is divided by j?
2
Suppose -n - 21 + 11 = 0. Let a(t) be the second derivative of t**5/20 + 5*t**4/6 + 7*t**2/2 + t. What is the remainder when 11 is divided by a(n)?
4
Calculate the remainder when 50 is divided by 196/16 - (-6)/8.
11
Suppose -29*y + 27*y + 50 = 0. Calculate the remainder when y is divided by 9.
7
Let p be (-4)/10 - (-54)/10. Let q = 51 - p. Calculate the remainder when q is divided by 24.
22
Suppose -6 = -2*f + 4*n, 1 = 4*f + 4*n - 11. Suppose 4*s - f - 41 = 0. Calculate the remainder when 19 is divided by s.
8
Let n(x) = -x**2 - 5*x - 1. Let m be n(-5). Calculate the remainder when (m - 1)/((-5)/20) is divided by 5.
3
Suppose -5*r + j - 67 = -8*r, 0 = -3*r + 2*j + 73. Calculate the remainder when 24 is divided by r.
1
Suppose -90 = 3*a - h, 0*a = 2*a - 5*h + 47. Let p = -13 - a. Calculate the remainder when p is divided by 7.
4
Suppose t + 54 = 4*t. Calculate the remainder when t is divided by ((-15)/10 - 1)*-4.
8
Suppose 53 = 5*u + 4*b, 0 = -u + 3*u + b - 23. Suppose -2*r = -0*r - 32. Let g = r - 9. Calculate the remainder when u is divided by g.
6
Let l be (-4)/32 - (-430)/(-16). Suppose -4*c = -5*f + 5, c - 5 = -4*c - 5*f. Calculate the remainder when (-4)/(-2) - (c + l) is divided by 8.
5
Let p be 0/(2 + 1 + -1). Suppose p = -2*w - 3*w + 1045. Suppose u + w = 5*a + 3*u, -2*a - 5*u + 71 = 0. What is the remainder when a is divided by 15?
13
Suppose -n + 4*h = -11, -16 = -2*n + 5*h + 3. Suppose -2*j - 135 = -n*j. Calculate the remainder when (-1 - -2)*(99 + -20) is divided by j.
25
What is the remainder when (-33)/(-9) - (-3)/9 is divided by 2?
0
Let j(t) = t**3 + 7*t**2 + 9*t + 8. Calculate the remainder when 90 is divided by j(-5).
12
Let l = 28 - -11. Calculate the remainder when 76 is divided by 1/(42/l + -1).
11
Let g = -8 - -2. Let u(m) = -2*m - 1. Let s(k) = k**2 - 2*k - 3. Calculate the remainder when s(-5) is divided by u(g).
10
Let a = 28 + -25. What is the remainder when 4 is divided by a?
1
Suppose 55 = -2*r + 5*r - 2*w, 0 = 4*w - 4. Suppose -5*y - 71 = -2*f - 6*y, 0 = 2*f - 5*y - 65. Calculate the remainder when f is divided by r.
16
Let i be 3/9*3 + 6. Let s(w) = 15*w**2 + w + 3. Let n(u) = 45*u**2 + 4*u + 10. Let r(v) = i*s(v) - 2*n(v). What is the remainder when 29 is divided by r(1)?
14
Let i(o) = -2*o + 1. Let d be i(1). Let s be 8 + d/(-2)*-4. Let u = s + 3. Calculate the remainder when 16 is divided by u.
7
Suppose 152 = 5*m - 0*m + c, -c - 3 = 0. What is the remainder when m is divided by 16?
15
Suppose 2*x - 42 = -5*y + 24, -3*y = -12. What is the remainder when 44 is divided by x?
21
Suppose 0 = 2*b + 2*b - 408. Let n = b - 18. Suppose 0 = -5*g - 5*l + 56 + n, 4*g - 109 = -5*l. What is the remainder when g is divided by 16?
15
Suppose 139 = 3*r + 16. Calculate the remainder when r is divided by 7.
6
Suppose -4*o + 72 = 3*a, 26 = 2*o + 3*a + a. Suppose 4*q - o + 186 = 5*i, 0 = -2*q. What is the remainder when i is divided by 9?
6
Let a(v) be the third derivative of -v**4/6 - 7*v**3/6 - 2*v**2. Let n = 24 - 29. Calculate the remainder when 36 is divided by a(n).
10
Let t(g) = -g**2 + 9*g + 12. Let n be t(10). Suppose -15 = -n*o + 1. Calculate the remainder when 22 is divided by o.
6
Suppose -4*o - 12 + 4 = -4*i, 0 = 3*o - 4*i + 7. Let a = 2 - 3. Calculate the remainder when 32 is divided by a + 2 - o*10.
10
Suppose 4*c = c + 18. Suppose -y - y = -c. What is the remainder when 5 is divided by y?
2
Suppose 4*n = -0*n + 48. Calculate the remainder when 10