What is the remainder when 19 is divided by (-29)/(-3) + 2/x?
9
What is the remainder when 54 is divided by (-1)/(-2)*-7*(-4 + -4)?
26
Suppose 20*u - 590 = 15*u. Calculate the remainder when u is divided by 30.
28
Suppose 5*h + 0*u + 3*u = 44, -4*u = 3*h - 33. Calculate the remainder when h is divided by 6.
1
Let f(i) = -i**2 + 5*i - 2. Suppose -5*y = -5*c + 50, -c + 2*y = -0*y - 8. Let g = c + -8. What is the remainder when f(g) is divided by 2?
0
Suppose 0 = -0*y + 4*y - 12. Calculate the remainder when y + 60/((-9)/(-3)) is divided by 12.
11
Calculate the remainder when 22 is divided by -15*(1/1)/(-3).
2
Let t = 15 - 3. Let h(a) = a**3 - 13*a**2 + 16*a - 9. What is the remainder when h(t) is divided by 20?
19
Let y = -26 + 36. What is the remainder when 29 is divided by y?
9
Let m(i) = -2*i + 2*i**2 + 18*i**2 - 6*i**2 + 1. Calculate the remainder when m(1) is divided by 4.
1
Suppose -28 = 7*r - 3*r. Let k = r - -13. What is the remainder when 16 is divided by k?
4
Let i = -10 - -7. Let u = 8 - i. Suppose 0*t + u = 3*d + t, -d = 5*t - 13. Calculate the remainder when 9 is divided by d.
0
Let u(x) = x**3 + 5*x**2 - 6*x - 1. Suppose 134 + 716 = 10*q. What is the remainder when q is divided by u(-5)?
27
Suppose 5*t - 65 - 60 = 0. What is the remainder when t is divided by 14?
11
Let g(s) = -4*s + 37. Calculate the remainder when g(0) is divided by (-13)/2*4/(-2).
11
Let t(k) = k + 4. Suppose 2*d = -4 - 4. Let w be d + 2 + 0 + 0. Calculate the remainder when 5 is divided by t(w).
1
Suppose 2*m - 11 = v, 3*v + 4 = 4*m - 13. Calculate the remainder when 29 is divided by m.
5
Let x = -16 - -13. Calculate the remainder when (x - -53)*3/6 is divided by 14.
11
Let a be (-5 - -7)*(-1)/(-2). Let t(q) = -q**3 - 5*q**2 + 5*q + 4. Calculate the remainder when t(-6) is divided by (-3*a)/((-6)/12).
4
Suppose -4*v + 0*v = -40. Let y = 40 - 59. What is the remainder when (-6)/2*y/3 is divided by v?
9
Calculate the remainder when 65 is divided by ((-66)/(-4)*-2)/(1 + -2).
32
Let y(n) = 8*n**2 + 5*n + 6. What is the remainder when y(5) is divided by 26?
23
Let n = -107 - -143. Calculate the remainder when 71 is divided by n.
35
Suppose 0 = -5*u + 9 - 74. Suppose -4*m + 2*m + 5*z + 30 = 0, 4*z - 16 = 0. Let j = m + u. Calculate the remainder when 35 is divided by j.
11
Suppose 2*f + 201 = 45. What is the remainder when 38/3*3*1 is divided by (10/15)/((-4)/f)?
12
Let r(b) = b**2 + b - 4. Let d be 4/(-18) + (-29)/(-9). What is the remainder when 15 is divided by r(d)?
7
Let b(h) = -h**3 - 9*h**2 - 6*h - 1. Calculate the remainder when b(-9) is divided by 27.
26
Let z(c) = -c**3 + 9*c**2 - 6*c - 1. Calculate the remainder when z(6) is divided by 18.
17
Suppose y - 6*y + 45 = 0. Suppose 2*i - 6 = -n + 5*i, 3*i + 6 = -4*n. Suppose -5*x + 137 + 28 = n. Calculate the remainder when x is divided by y.
6
Suppose f + 4*f = 190. Suppose -j - v + 5 = 0, -2*j + 0*j + 5*v = -f. What is the remainder when 32 is divided by 51/j*(-1 + 4)?
15
Suppose 73 = 4*d + 1. Suppose -4*n + 153 = -n. What is the remainder when n is divided by d?
15
Suppose -g + 5 = -0. Suppose q + 40 = g*q. Calculate the remainder when 28 is divided by q.
8
Let q = -9 + 52. What is the remainder when q is divided by 9?
7
Let k be (2 + -5)/(-3) - 1. Suppose 3*g - 3*v - 78 = -2*g, k = g + 4*v - 11. Calculate the remainder when 43 is divided by g.
13
Let j(i) = -i**2 + i + 4. Let v be j(-5). Let u = v + 41. What is the remainder when -1 - -3 - -24 - -2 is divided by u?
13
Suppose j - 4*x = 5*j - 20, x - 20 = -4*j. Calculate the remainder when j is divided by 1.
0
Let x(u) = u + 1. Let j = 0 - -1. Let p be x(j). What is the remainder when (p - -13)*8/3 is divided by 14?
12
Let b(u) = u**2 + 20*u + 8. What is the remainder when b(-23) is divided by 13?
12
Suppose -2*a - a + 65 = 5*r, -a - 35 = -4*r. Suppose 0 = -2*u + 22 + r. What is the remainder when 29 is divided by u?
13
Let h(v) = -v**3 - v**2 + 3*v + 2. Let q be h(-2). Let m be -1 + 10 + q + -1. What is the remainder when 4 is divided by ((-6)/m)/((-4)/16)?
1
Suppose -4*i - 51 = -y - 0*y, -4*y = 5*i + 48. Let t be (14/(-6))/(1/3). Let u = t - i. What is the remainder when 9 is divided by u?
4
Suppose 5*p - h = p - 63, 4*p + 62 = 2*h. Let q = p + 17. What is the remainder when q is divided by 1?
0
Suppose 46*f = 47*f - 15. Calculate the remainder when f is divided by 8.
7
Suppose -s = 3*i - 10, 3*s = -2*i + s + 8. Suppose x + 3*l = -x - 4, 0 = -i*x - 5*l - 7. Calculate the remainder when 3 is divided by (-1*1)/((-1)/x).
0
Let c(y) = 15*y + 7. Calculate the remainder when c(4) is divided by 23.
21
Let l(g) = g**2 + 13*g - 45. What is the remainder when l(-19) is divided by 7?
6
Let n(t) = 2*t**3 - 6*t**2 - t. Let a(x) = -5*x**3 + 13*x**2 + 2*x. Let f(w) = 4*a(w) + 9*n(w). What is the remainder when 19 is divided by f(-2)?
9
Let x = 8 + -3. Suppose 0 = x*l - 4*t - 32, 4*l + 2*t - 6 = l. Calculate the remainder when 52 is divided by -1*l*(-9)/2.
16
Let p(s) = s**2 + 2*s + 32. Calculate the remainder when p(0) is divided by 7.
4
Let q = -50 - -100. Suppose -4*o + 51 = 4*n - 17, 3*o - q = -4*n. Calculate the remainder when o is divided by 5.
3
Let p = -18 + 20. Let j = p - -2. Calculate the remainder when 10 is divided by j.
2
Suppose 0 = -5*m - 4*x - 1132, 0 = -4*m - 7*x + 2*x - 911. Calculate the remainder when 23 is divided by 6/(-27) - m/36.
5
What is the remainder when (0 - 1) + -2 + (5 - -31) is divided by 17?
16
Let n = 1 + -1. Suppose 4*r - 11 - 9 = n. Suppose 3*q + 4*z - 76 = 0, -2*q - r*z + 7 = -q. Calculate the remainder when q is divided by 11.
10
Let h(d) = 3*d**3 - 3*d**2 - 11*d - 178. Let q(c) = -2*c**3 + 2*c**2 + 7*c + 119. Let j(b) = 5*h(b) + 8*q(b). What is the remainder when j(0) is divided by 16?
14
Let f = -5 - -22. Calculate the remainder when 67 is divided by f.
16
Let p(u) = -u**2 + 15*u + 3. Calculate the remainder when 23 is divided by p(15).
2
Suppose 95 = 3*y + 2*y. Calculate the remainder when 37 is divided by y.
18
Let j = 14 - -6. Let r = 8 + -5. Suppose 3*y - t - 23 = -r*t, -3*y = -3*t - 18. Calculate the remainder when j is divided by y.
6
Let c(j) = -j**2 + 9*j + 8. Let u be c(6). Let l be u/2 - (1 - 0). Suppose -4*w = 5*q - 6, 4*q = -w - 4*w + l. What is the remainder when 10 is divided by w?
2
Suppose -60 = -4*k + 2*l, l = k + 2*l - 9. Let d = 28 - k. Calculate the remainder when d is divided by 9.
6
Let n = -20 + 53. Suppose 0 = -30*x + 36*x - 588. What is the remainder when x is divided by n?
32
Suppose 3*f = 11 + 46. Suppose 0 = 5*b - 4*s + 34, b + 4*s - 3*s = -5. Let l = 4 - b. What is the remainder when f is divided by l?
9
Calculate the remainder when 27 is divided by -1 + 0 + (-12 - -23).
7
Calculate the remainder when 27 is divided by (-2)/8 - (-2 - (-212)/(-16)).
12
Suppose 2*v - 5*v + 3 = 0. Calculate the remainder when 30 is divided by -1 - (-8 - v - 0).
6
Suppose 19 = 3*f - 5*l, l - 3 = -2*f + 1. Suppose -f*p + 10 = g, -g + 3*p = -0 + 2. What is the remainder when g is divided by 3?
1
Let x(m) be the third derivative of -7*m**4/12 + m**3/2 - 3*m**2. What is the remainder when x(-4) is divided by 10?
9
Let y(m) = 10 - 2*m + 6*m**2 - m**3 + 4*m - 5. What is the remainder when 33 is divided by y(6)?
16
Let x = 18 + -2. Calculate the remainder when x is divided by 9.
7
Let h = 12 - 76. Let o(v) = -14*v. What is the remainder when o(-2) is divided by h/(-6) - 10/15?
8
Suppose 25 = 2*i + 5*m, -5*i - m + 4*m + 16 = 0. Suppose -5*n + 82 = -t, n - 100 = -4*n - i*t. What is the remainder when 33 is divided by n?
16
Suppose 27*w + 110 = 29*w. Calculate the remainder when w is divided by 14.
13
Let g = 38 + -26. Calculate the remainder when 44 is divided by g.
8
Suppose 3*i + v = 2, -v - 1 = i - 3. Let j(d) = d**2 - 3*d - 1. Let t be j(5). Suppose -t = -3*f - i*f. What is the remainder when 4 is divided by f?
1
Let y be 2/4 + 4/(-8). Let v(r) = -r**2 + r + 2. What is the remainder when 5 is divided by v(y)?
1
Let w = -7 - -10. What is the remainder when (2/4)/(2/20) is divided by w?
2
Let o = 6 - -4. Calculate the remainder when 18 is divided by o.
8
Let g = 2 - -6. Calculate the remainder when (-2)/(-6)*-5*-6 is divided by (1*3)/(6/g).
2
Let l(f) = -2*f + 5. Let t be l(4). Suppose 0 = 4*c + x - 15, -4*x - 16 = -c - 2*c. Ca