culate the remainder when 60 is divided by f.
6
Let p(f) = f**2 - 6*f. Let k be p(6). Suppose k*j - 140 = -4*j. What is the remainder when j is divided by 12?
11
Let c = 13 - 12. Let w(n) = 18*n**2 + n. What is the remainder when w(c) is divided by 5?
4
Calculate the remainder when (2/(-3))/(6/(-387)) is divided by 11.
10
Let k(d) = -6*d - 61. What is the remainder when 70 is divided by k(-15)?
12
Let g = -19 + 25. Suppose 130 = 5*v + 25. What is the remainder when v is divided by g?
3
Calculate the remainder when (-2 - -1) + -3 + 17 is divided by 1.
0
Let d = 7 - -72. Suppose -8*w = -78 - 138. Calculate the remainder when d is divided by w.
25
Suppose -2*v - 10 = 16. Let k = -4 - v. What is the remainder when k is divided by 4?
1
Suppose -2*t - 3*m + 36 = t, 3*m - 48 = -4*t. Suppose 58 = w + 12. Calculate the remainder when w is divided by t.
10
Suppose -35 = -10*w + 65. What is the remainder when 43 is divided by w?
3
Let r = 10 - 6. Let i be (-23)/(-3)*(-1 - -16). Suppose 5*v + 45 - i = 0. What is the remainder when v is divided by r?
2
Suppose -221 = -3*c - 80. What is the remainder when c is divided by 7?
5
Let m(r) = r**2 + r - 6. Let x(a) = -28*a - 1. What is the remainder when x(-2) is divided by m(-5)?
13
Calculate the remainder when 29 is divided by 4 - 4 - (2 - 10).
5
What is the remainder when ((-3)/6 - -2)*26 is divided by 7?
4
Suppose 4*a + 28 = -5*c, -4*c + 64 = -5*a + a. Let l(z) = z + 27. Let v be l(a). What is the remainder when v - 3/6*0 is divided by 9?
6
Let h = 47 + -28. Calculate the remainder when h is divided by 13.
6
Suppose 0*h = 2*x + 5*h - 32, 2*h = 4*x - 64. Calculate the remainder when (-8326)/(-276) - (2/(-12))/(-1) is divided by x.
14
Suppose -54 = -k - 16. What is the remainder when k is divided by 10?
8
Suppose -6*u = -11*u + 15. What is the remainder when 7 is divided by u?
1
Let w(n) = -21*n - 3. Suppose 5*j = -4*v + 45, -4 - 11 = -v - 5*j. What is the remainder when w(-2) is divided by v?
9
Suppose -31 = 4*w - 7. Let i(m) = -9*m + 4. What is the remainder when i(w) is divided by 15?
13
Suppose 0*n + 4*n = 0. Suppose 4*j - 2*t - 30 = 0, 0 = t - n*t + 5. Suppose 5*y - 11 = -2*b, j*b + 3 = -y - 4. Calculate the remainder when 7 is divided by y.
1
Let d = 14 - 18. Let h(c) = -9*c - 13. Calculate the remainder when 65 is divided by h(d).
19
Suppose -9 = 4*x - 5*x. Calculate the remainder when 17 is divided by x.
8
Let y = 16 + -12. Suppose -160 = -4*x - y*k, 2*k = -2*k - 20. Let n(v) = -v**2 + 23. Calculate the remainder when x is divided by n(0).
22
Suppose 131 = 5*l + 4*p, -2*p + 7*p = l - 32. Suppose -10 - 60 = -7*j. What is the remainder when l is divided by j?
7
Suppose 13 = 2*f - 5. Suppose -2 - f = -j. Calculate the remainder when 42 is divided by j.
9
Let u = 4 + 9. Calculate the remainder when 51 is divided by u.
12
Suppose 0*g + 3*g - 54 = 0. Suppose -3*t - g = -4*t. Let d = 5 + 5. Calculate the remainder when t is divided by d.
8
Suppose -m - 5 = -2*m. Suppose -m*a - 4 + 34 = 0. What is the remainder when 11 is divided by a?
5
Let j = 42 + -25. Let k(t) = t**2 - 11*t + 6. Let o be k(8). Let g = 50 + o. What is the remainder when g is divided by j?
15
Suppose 4*h - 16 = -2272. Let w = 1 + 9. Calculate the remainder when h/(-15) - (-4)/w is divided by 13.
12
Let p be 6/(-2)*69/(-9). Let a = 11 + p. Calculate the remainder when a is divided by 9.
7
Calculate the remainder when 103 is divided by 0 + (-2 + -1)*-7.
19
Let h(w) = -w**3 - 7*w**2 - 11*w + 1. Calculate the remainder when 154 is divided by h(-6).
30
Calculate the remainder when (-6 + 8)*6/1 is divided by 8.
4
Suppose 0 = 4*t - 7*t - 4*j - 4, 4*j - 28 = t. Let m = 5 - t. Suppose -g - 2*g - 5*l + 55 = 0, -16 = 4*l. Calculate the remainder when g is divided by m.
12
Let s be (8/12)/(3/54). Let i = s + -7. What is the remainder when 7 is divided by i?
2
Suppose -4*g - 2*u = 2*u + 8, 17 = 2*g - 5*u. Let z = 4 - g. Suppose 37 = 2*r - l, z*r - 2*l = 4*r - 11. Calculate the remainder when 49 is divided by r.
15
Let o(t) = -3*t**2 - 10*t - 1. Let r(z) = -2*z**2 - 8*z - 7*z + 5*z - 2. Let v(m) = 3*o(m) - 4*r(m). What is the remainder when v(6) is divided by 10?
9
Suppose 15 = -5*d, -g + 2*d = 6*d + 4. What is the remainder when 20 is divided by g?
4
Let i = -188 - -336. Let a = 229 - i. Calculate the remainder when a is divided by 21.
18
Let w be (-2)/(-5) - (-141)/(-15). Let b(t) = t**2 - 3*t + 4. Calculate the remainder when b(3) is divided by 16/12*w/(-6).
0
Let u(o) = o + 3. Let z be u(-4). Calculate the remainder when -2 + z*(1 - 17) is divided by 8.
6
Let w = 8 + -6. Let o(h) = h**3 - 5*h**2 - 7*h + 10. What is the remainder when o(6) is divided by w?
0
Let h be 6*-2*(-5)/15. Suppose -h*m + 2*w = -58, 5*w = m + 3*m - 73. What is the remainder when 1/(-1*1/(-21)) is divided by m?
9
Suppose 0*t + 5 = -t. Let u = -1 - t. Suppose u = b - 4. Calculate the remainder when 22 is divided by b.
6
Let y(t) = -t**2 + 9*t + 7. Let l be y(9). Suppose 0 = -2*o + 3*o - l. Calculate the remainder when 19 is divided by o.
5
Let m(w) be the first derivative of w**2 - 9*w + 2. Calculate the remainder when 35 is divided by m(11).
9
Suppose 3*a + 3*m - 18 = 0, 0*a + 5*m = 3*a + 6. Let w(s) = -2*s + 8. Let o be w(6). What is the remainder when 2/o + 11/2 is divided by a?
2
Let o = 81 + -56. Let t = -226 - -300. Calculate the remainder when t is divided by o.
24
Suppose q + c = 2*c + 39, c + 156 = 4*q. Suppose z - 12 = -a - a, 5*z + 3*a = q. Suppose 38 - 8 = 3*d. Calculate the remainder when d is divided by z.
4
Let u be (-1)/2 + (-3)/(-6). Let r = u - -4. Calculate the remainder when r is divided by 3.
1
Suppose 3*p = 3, 4*b - 275 = -b + 5*p. What is the remainder when b is divided by 29?
27
Let m = 1 - -4. Suppose -2*c + 7 = -m. Suppose 0 = -v + 4*q - 5, 0 = -3*v - 5*q + 7 + 46. What is the remainder when v is divided by c?
5
What is the remainder when 92 is divided by 4/(-26) - 498/(-26)?
16
Suppose -436 = -27*d + 104. Calculate the remainder when d is divided by 16.
4
Let z(j) = -j**2 - 12*j + 4. What is the remainder when z(-7) is divided by 9?
3
Suppose -2*i + 0 - 35 = -3*o, 3*o - 4*i - 31 = 0. What is the remainder when 36 is divided by o?
10
Suppose -4*a + 2*i = a - 380, 5*i + 25 = 0. What is the remainder when a is divided by 19?
17
Let z = -49 - -64. What is the remainder when 59 is divided by z?
14
Let x be (-4)/10 - (-22)/5. Suppose -z - x = -3*z. Suppose -6*k - 3 = -7*k. Calculate the remainder when k is divided by z.
1
Let u = 224 - 139. Suppose 0 = -2*z + 9 + u. What is the remainder when z is divided by 12?
11
Let p(y) = y**3 + 14*y**2 + 5. What is the remainder when 8 is divided by p(-14)?
3
Calculate the remainder when 92 is divided by (1 + 97)*(-5)/(-12 - -2).
43
Let b = 22 + -34. Let m = b + 18. What is the remainder when 16 is divided by m?
4
Suppose 66 = 4*j - 2*a, -2*j + 3*a = -3*j + 6. What is the remainder when j is divided by 9?
6
Let z = 17 + -3. Calculate the remainder when z is divided by 52/6 - (-2)/(-3).
6
Suppose 0*g = -5*g - 5*s + 90, -14 = -g - 5*s. Calculate the remainder when g is divided by ((-12)/18)/2*(1 + -16).
4
Let k be 2/(2/(-8)*2). Let g(v) = v**3 + 6*v**2 + 2. Let q = 1 - -17. What is the remainder when g(k) is divided by q?
16
Suppose -6*d = -3*p - 3*d + 219, d - 227 = -3*p. Calculate the remainder when p is divided by 39.
36
Suppose 0 = -4*a + 965 - 241. Calculate the remainder when a is divided by 37.
33
Let t = 11 - 8. Calculate the remainder when (-2)/(t/((-81)/2)) is divided by 15.
12
Suppose -5*t - 6 = 3*v - 19, -t = -3*v + 19. Let u(k) = -k**3 + 6*k**2 - k + 8. Calculate the remainder when 6 is divided by u(v).
0
Suppose -y + 3*y = 8. Suppose 4*a + 4*v = 2*v + 66, y*a = -v + 63. Calculate the remainder when 27 is divided by a.
12
Suppose -9*r + 83 = -61. What is the remainder when 47 is divided by r?
15
Let g = 12 + -1. Let n be ((-10)/(-4))/((-2)/(-4)). Suppose -n*h + 2*l = -36, l = 3*h - 4*l - 33. What is the remainder when g is divided by h?
5
Suppose 59 = -3*z + 164. Calculate the remainder when z is divided by 19.
16
Let v(j) = -3*j - 3. Let c be v(-2). Suppose 5*m - 4*d - 121 = -46, -40 = -5*m - c*d. Calculate the remainder when 32 is divided by m.
10
Suppose -z - 1 = 0, 0 = w - 3*z - 8 - 16. What is the rema