by 18.
17
Let x = -5 - -62. What is the remainder when x is divided by 15?
12
Suppose -2*v + 8 = -q, 3*q = q + v - 4. Suppose 4*k + q*t - 2*t = 134, 0 = -3*k - 3*t + 78. Calculate the remainder when k is divided by 16.
15
Let o(y) = 8*y - 30. What is the remainder when 69 is divided by o(6)?
15
Calculate the remainder when 18*(-4)/(-2) - 5 is divided by 12.
7
Suppose 0 = 2*w + g - 30, 4*g - 33 + 11 = -w. Calculate the remainder when w is divided by 3.
2
Suppose -3*y = -57 - 27. What is the remainder when 82 is divided by y?
26
Suppose 0 = w + 3*w - 80. Suppose 105 = 5*s + 5*u, 3*s - 2*u - w = 23. Let f(c) = -c - 1. What is the remainder when s is divided by f(-7)?
5
Let m(v) = v. Suppose -p + 0*p + 5*c = -8, -13 = -3*p + 4*c. Suppose p*a = 5*a - 8. Calculate the remainder when a is divided by m(2).
0
Let q be 22/6 + 2/(-3). Suppose -o + 34 = 2*y, 27 = 2*y + q*o - 15. Let i(c) = 13*c + 4. What is the remainder when i(3) is divided by y?
13
Let q be (-3 + (-40)/(-6))*-3. Let x = q + 29. What is the remainder when 34 is divided by x?
16
Let p = -5 + 7. Suppose -30 = -p*o - 2*l, -9 - 22 = -2*o - l. What is the remainder when 47 is divided by o?
15
Let n be 2/(-2)*(1 - 3). Suppose -2*a + n*w = -6, 5*w - 1 = -2*a + 2*w. What is the remainder when a is divided by 2?
0
Let n(w) = -w**3 - 4*w**2 + 7*w + 8. Let m(q) = -6*q + 1. Suppose 0 = 4*a + 3*l + 20, 0 = a + 5*l + 22. Calculate the remainder when n(-6) is divided by m(a).
12
Let w = 9 - 18. Let l be (-3)/w + (-34)/(-6). Suppose l*c = 3*c + 57. Calculate the remainder when c is divided by 10.
9
Suppose b - 80 = -3*b. Suppose g - b = -g. Calculate the remainder when 20/(-6)*126/(-15) is divided by g.
8
Suppose 4*l = c + 4, -2*c - 4*l = c - 20. Calculate the remainder when 23 is divided by c.
3
Suppose 2*p - 3*o - 53 = -6, -4*o = 20. What is the remainder when 639/21 - ((-72)/(-21) + -3) is divided by p?
14
Let b be (-66)/(-14) - 2/(-7). Suppose 5*a + 29 = -1. Let f = b - a. Calculate the remainder when 31 is divided by f.
9
Suppose d - 164 = -3*r, 4*d + 2 = 10. What is the remainder when 161 is divided by r?
53
Suppose -13*u + 290 = -8*u - 4*x, 330 = 5*u + 4*x. Calculate the remainder when u is divided by 22.
18
Suppose 3*j + p - 2*p = 487, 4*j - 5*p = 631. Calculate the remainder when j is divided by 33.
32
Suppose 12 = -g + 2*g. Let b = 8 + g. Suppose -h - 4*h + b = 0. Calculate the remainder when h is divided by 3.
1
Let x(a) = -35*a + 2. Calculate the remainder when 73 is divided by x(-1).
36
Let d = -4 + 29. Let u(k) = k**2 + 4*k + 2. Calculate the remainder when u(5) is divided by d.
22
Suppose 0 - 4 = y. Calculate the remainder when 22 is divided by 5 - (-2)/y*-6.
6
Suppose -4*h + 3*i + 30 = 0, 0*h - i = 3*h - 16. What is the remainder when 15 is divided by h?
3
Let d be 60/14 - 6/21. Suppose x + 1 = d. Calculate the remainder when x is divided by 3.
0
Suppose u - 1 = 3. Suppose 0 = u*r - 72 - 48. Suppose -3*t + 0*z + 52 = z, t = 2*z + 8. Calculate the remainder when r is divided by t.
14
Suppose -2*v - 1 = -7. Suppose 0 = -3*n - n + 32. Calculate the remainder when n is divided by v.
2
Let x = 14 + -3. What is the remainder when 31 is divided by x?
9
Suppose 4*g + 0*g + 4 = 0. Let f(b) be the first derivative of -4*b**2 + b + 2. What is the remainder when 25 is divided by f(g)?
7
Let q(x) = -25*x - 1. Let t be q(1). What is the remainder when 35 is divided by 158/13 - (-4)/t?
11
Let t(x) = -x**2 + 7*x + 6. Let v = -7 + 7. Suppose -j + 4*j = 2*i - 1, -i + 2*j - 1 = v. Calculate the remainder when t(i) is divided by 6.
4
Suppose -w + 6 = -40. Calculate the remainder when w is divided by 24.
22
Let o(g) = 10*g - 1. Let x(i) = -i - 1. Let r be x(-2). What is the remainder when o(r) is divided by 16/(-4)*(-10)/8?
4
Let u(t) = 10*t + 10 + 2*t - 11*t + 4*t**2 - 5*t**2. Calculate the remainder when 18 is divided by u(0).
8
Suppose 0 = -2*l + 1 + 3. What is the remainder when 4 is divided by l?
0
Suppose -3*v = 2*a + 49, 3*v - 24 = 4*a + 47. Let o = -8 - a. Suppose 94 = 3*s + 5*p, -2*p - 2*p = -20. What is the remainder when s is divided by o?
11
Let v(l) = -l**2 - 10*l + 3. Suppose 3*h + h + 40 = 0. Let o be v(h). Suppose -o*g + 101 = -10. Calculate the remainder when g is divided by 13.
11
Let r(s) = 2*s**3 - s**2 + 2*s - 1. What is the remainder when 6 is divided by r(1)?
0
Let t = -1 + 28. Suppose 3*h + 0*f - 24 = -f, 0 = 5*h - 2*f - 29. What is the remainder when t is divided by h?
6
Let z(o) = 2*o**2 - 2*o - 1. Let x(a) = -a**2 + 1. Let w(t) = -2*x(t) + z(t). Let p = -7 + 5. What is the remainder when w(p) is divided by 9?
8
Let x(z) = 10*z**3 + z**2 + z - 1. Let b = -8 + 8. Let h be (-3)/(0 + -3) + b. Calculate the remainder when 20 is divided by x(h).
9
Calculate the remainder when (-4)/(-6) + 2028/36 is divided by 12.
9
Let q(d) = d**2 - 6*d + 10. What is the remainder when q(12) is divided by 12?
10
Let i be 7*((-2)/(-2))/1. Let u(g) be the third derivative of -g**5/60 + 3*g**4/8 - g**3/6 - 2*g**2. Calculate the remainder when 37 is divided by u(i).
11
Let m = 2 + 13. Suppose -116 - 107 = -5*k - p, k = 5*p + 29. What is the remainder when k is divided by m?
14
Let b = 1 - 10. What is the remainder when 12 is divided by 44/6 + 3/b?
5
Let m(z) = -2*z**2 - 15*z - 6. Let v be m(-7). What is the remainder when 22 is divided by v/2*4 + 10?
10
Suppose 23 + 21 = 2*g. Calculate the remainder when 24/(-30)*430/(-4) is divided by g.
20
Suppose 587 = 15*x - 28. What is the remainder when 120 is divided by x?
38
Suppose -3*l + 115 = 2*l. Suppose -4*u + 20 = u, 0 = -4*t - 4*u + 48. Suppose 4*s = 5*s - t. What is the remainder when l is divided by s?
7
Let d(u) = -u**3 + 13*u**2 + 15*u - 8. Let o be d(14). Suppose -j - 4*l - 1 = 0, -4*l + 59 = -j + o*j. What is the remainder when 43 is divided by j?
13
Let l be (2/(-6))/((-10)/660). Let v = l - 7. Suppose 3*q = 2*q + v. Calculate the remainder when 43 is divided by q.
13
Let s be 2 + -4 + 2 + -4. Calculate the remainder when (54 - s) + 0/3 is divided by 30.
28
Suppose -5*g - 4 = 6. Let s(t) = -4*t**3 - t**2 - t. Let h be s(g). Suppose -j = j - h. Calculate the remainder when j is divided by 8.
7
Let s(o) = -o**3 + 2*o**2 + 5*o - 4. Let y be s(3). Suppose y*x = x + 12. What is the remainder when 4/18 - (-410)/18 is divided by x?
11
Suppose 4*c - 379 = 793. Let u = c - 203. What is the remainder when u is divided by 23?
21
Let c = 14 + 1. What is the remainder when c is divided by 9?
6
Let z = 21 + -3. Suppose -5 - 2 = -m. What is the remainder when z is divided by m?
4
Let g(a) = -34*a + 1. Let h(z) = z**2 - 6*z - 15. Calculate the remainder when g(-1) is divided by h(-3).
11
Let n(d) = -28*d. What is the remainder when n(-3) is divided by 11?
7
Suppose i - 222 = -2*i. What is the remainder when i is divided by 19?
17
Let p be 2/(-2) + 0 - 2. Calculate the remainder when 77 is divided by (-8)/1*p - -2.
25
Let l(a) be the second derivative of a**4/6 + 5*a**3/6 + 9*a**2/2 - 5*a. What is the remainder when l(-4) is divided by 12?
9
Suppose 8 = -3*j - 121. Let n = j - -63. Calculate the remainder when n is divided by (6*1 - 0) + 1.
6
Let g = -10 + 4. Let k = 4 - g. What is the remainder when 37 is divided by k?
7
Suppose 3*q - 5*y - 267 = 0, 0 = 3*y - 0*y. What is the remainder when q is divided by 23?
20
Suppose -5*r - 2*v - v = 4, -12 = -3*r + 3*v. Suppose -2*b + 3 = b. What is the remainder when b is divided by r?
0
Suppose -3*l + 2*v + 134 = 0, 2*l - 93 = -0*l + 5*v. What is the remainder when l is divided by 13?
5
Let k be 1*-1*(-1 + -5). Suppose 0 = i + 2*w + 2*w + 1, i + 5*w = -k. What is the remainder when i is divided by 10?
9
Suppose 5*k - 10 = 0, 2*o - 2*k = -3 - 1. Suppose o = 2*p - f - f - 34, 4*f - 44 = -3*p. What is the remainder when 30 is divided by p?
14
What is the remainder when 48 is divided by (11/22)/((-2)/(-68))?
14
Let y(f) = f. Let w be y(2). Let g be -1 - -4 - (w + -2). Suppose -2*x - n = -g*x - 2, 8 = -2*x + 3*n. Calculate the remainder when 2 is divided by x.
0
Let y = 154 - 149. Suppose 3*n + 4*f + 31 = 0, -5*f = 4*n + 13 + 27. Let j = n - -14. Calculate the remainder when j is divided by y.
4
Suppose -4*y - 473 = -57. Let o = -88 + 97. What is the remainder when (-12)/8*y/6 is divided by o?
8
Let d = 40 + -29. Let v = -4 - -2