t is the remainder when 23 is divided by x?
10
Let p = -4 - -9. Let m = 83 + -81. Suppose -m*n + 10 + 15 = q, -p*n + 5*q = -85. Calculate the remainder when n is divided by 8.
6
Let a be (1 + 0)/(13/65). Suppose 4*n - a - 71 = 0. Calculate the remainder when n is divided by 11.
8
Let h = -6 + 22. Calculate the remainder when 6480/140 + 4/(-14) is divided by h.
14
Let u(g) = -g**2 + 6*g + 2. Let p be u(6). Suppose 4*z - 6 - p = 0. Suppose -a + 44 = z*v, 2*v - a + 15 = 63. What is the remainder when v is divided by 8?
7
Suppose 2*z - 30 = -2*w, -z - z - 30 = -w. Calculate the remainder when 37 is divided by w.
17
Suppose 0 = y - 5*w - 76, 0*w + 4*w - 94 = -y. Suppose 0 = 2*j - 3*v - 47 - 0, 4*v - 18 = -j. Calculate the remainder when y is divided by j.
20
Let b(q) = -q + 9. Calculate the remainder when b(-4) is divided by 4.
1
Suppose -4*c + 4*b = -128, -b - b + 8 = 0. Calculate the remainder when 69 is divided by c.
33
Let w(c) = -c**3 - c**2 + 5*c + 2. What is the remainder when (2/8)/(10/520) is divided by w(-3)?
3
Suppose -4*v + 30 = -70. What is the remainder when 97 is divided by v?
22
Suppose 4*x = 2*n + 12, n - 4*n + 4*x = 12. Suppose -3*z = -n*z - b - 8, -5*z - b = -8. Suppose 2*p - z = 16. Calculate the remainder when 17 is divided by p.
8
Let u(a) be the third derivative of 5*a**4/12 - 4*a**2. What is the remainder when u(2) is divided by 7?
6
Let x(k) = 3*k**2 - 2*k + 1. Let h be x(1). Suppose -j = -3*a + 84, -h*a + 48 = -0*a + 2*j. Calculate the remainder when a is divided by 7.
6
Let c = 62 - 9. Suppose 5*i = 233 - c. Suppose -5*d - 3*g - 5 = 2*g, 4*g = 4*d - i. Calculate the remainder when 10 is divided by d.
2
Let w(q) = -q**2 - 9*q - 9. Suppose 3*f = 3*m - 9, -m - 3*m - 16 = 0. What is the remainder when 19 is divided by w(f)?
4
Let n(j) = -j**2 + 3*j + 2. Calculate the remainder when 14 is divided by n(2).
2
Let o = -9 - -11. Suppose -3*r + o = -7. Suppose 10 = v - r. What is the remainder when 38 is divided by v?
12
Let v(y) be the third derivative of y**6/40 + y**5/60 - y**4/12 + y**3/6 + y**2. Suppose -5*z + 9 = -11. What is the remainder when z is divided by v(1)?
1
Let a = -11 + 11. What is the remainder when 17 is divided by a/1 - (-18)/3?
5
Suppose 0 = -3*m + 88 + 92. What is the remainder when m is divided by 16?
12
Let c = 0 - -3. Calculate the remainder when 6 is divided by c.
0
Let u be (3 + -5)*(-2)/(-4). What is the remainder when 3 is divided by 6 - (5 - (1 - u))?
0
What is the remainder when (912/40)/(1 - 14/20) is divided by 13?
11
Suppose 5*k - 39 = 106. Calculate the remainder when 115 is divided by k.
28
Suppose 3 - 17 = -g. Let f(j) = 4*j - 3. What is the remainder when g is divided by f(2)?
4
Let r(o) = -o**2 - 8*o - 4. Let g = -45 - -51. What is the remainder when r(-5) is divided by g?
5
Suppose 12*v - 14*v = -90. What is the remainder when 134 is divided by v?
44
Let h = 112 + -8. Calculate the remainder when h is divided by 35.
34
Let t(x) = x**2 + 18*x + 20. Calculate the remainder when 154 is divided by t(-19).
37
Let z = 17 - 12. Calculate the remainder when 41 is divided by 65/5 + z + -3.
11
Let v(w) = 5*w - 4. What is the remainder when v(6) is divided by 7?
5
Let p(r) = -r**3 + 3*r**2 - 2*r. Calculate the remainder when p(-3) is divided by 16.
12
Suppose 0 = -3*y - 12, 4*y - 29 = -f + 4*f. What is the remainder when 35 is divided by (108/f)/(-2)*5?
17
Let v(q) = -q**2 - 7*q - 5. Suppose -z + 5 - 1 = 0. What is the remainder when v(-3) is divided by z?
3
Let c = 0 + 0. Let a(z) = z**2 + c*z**2 + 1 + 2*z + 21*z**2. Calculate the remainder when a(-1) is divided by 11.
10
Let y(w) = 3*w + 4. Calculate the remainder when 16 is divided by y(2).
6
Let s = 41 + 38. Calculate the remainder when s is divided by 20.
19
Let f(o) = -o**2 + 7*o - 5. Calculate the remainder when 7 is divided by f(2).
2
Suppose 64 = 5*z + 9. What is the remainder when z is divided by ((-16)/64)/(-1 - 54/(-56))?
4
Suppose 3*z + 0 = 9. Suppose z = 4*s - 37. What is the remainder when 17 is divided by s?
7
Suppose 4*a - 4*m = 64, 5*m + 3 = -2. Suppose 0 = -4*i - 0*i + 24. Calculate the remainder when a is divided by i.
3
Suppose 0 = -5*q - 4*j + j + 26, 5*j + 2 = 3*q. Let t(v) = v**3 - 3*v**2 - 3*v + 1. Calculate the remainder when t(q) is divided by 4.
1
Let g(n) = -2*n**2 + 6*n + 3. Let u be g(5). Let k = u + 30. Calculate the remainder when k is divided by 5.
3
Let c(z) = z**3 + 7*z**2 + 8*z - 2. Let t be c(-6). Let f = t + 31. Let b = -42 + 91. What is the remainder when b is divided by f?
15
Let n = 47 + 13. Let w be 3/(69/n + -1). Suppose -5 = d - w. Calculate the remainder when d is divided by 8.
7
Calculate the remainder when 187 is divided by (-2 + 3)*(1 + 62).
61
Let d = 8 - 11. Let h be 15/9 + 2/d. Calculate the remainder when h/(-3) - (-93)/9 is divided by 4.
2
Let i(o) = -o + 4. Let q be i(4). Let n = 5 - q. Calculate the remainder when 19 is divided by n.
4
Suppose -1 = y - 5*t, 0 = y + 4*y + 2*t + 140. Let x = y - -44. What is the remainder when 34 is divided by x?
16
Suppose -y + 7 - 6 = 0. What is the remainder when 49 is divided by 9 + 1 - (-2 - y)?
10
Let r(h) = h**2 - h + 2. Suppose 2*n - 4 = n. What is the remainder when (-9 + -32)*1*-1 is divided by r(n)?
13
What is the remainder when 105*(-5)/(-5) + 0 is divided by 27?
24
Suppose 4*l = 4*n - 2 - 22, 4 = 2*n + 2*l. Suppose n*t + 22 = 3*x - 3, x + 4*t - 19 = 0. What is the remainder when 41 is divided by x?
8
Let t(h) = h**2 + 3*h. Suppose 4*m - 320 = -3*a - 87, -218 = -3*a - m. Calculate the remainder when a is divided by t(-6).
17
Let r = 22 - 14. Suppose -3*f = f - r. Suppose -f*b - b + 95 = -5*d, -3*b + 110 = -2*d. Calculate the remainder when b is divided by 14.
12
Suppose 0 = 12*h - 7*h - 80. Let d = 29 - 23. What is the remainder when h is divided by d?
4
Let j = -8 - -15. Suppose 0 = -d - 4 + j. Suppose -5*i + 30 = -d*i. Calculate the remainder when 44 is divided by i.
14
Suppose 0 = 415*g - 417*g + 62. Let n = -18 - -34. What is the remainder when g is divided by n?
15
Suppose -48 = -5*u + 2*u. Calculate the remainder when (-2)/8 + 164/u is divided by 4.
2
Let k(r) be the second derivative of 3*r**5/10 + r**4/6 - r**2/2 - 6*r. What is the remainder when 20 is divided by k(1)?
6
Suppose -4*c = -16, -q - 3*c = 2*c - 170. Suppose 0 = 4*g + g - q. Calculate the remainder when g is divided by 8.
6
Suppose -2*a + 6 = 0, 0*r - r - 3*a = -35. Suppose l = -6 + r. Let h = 13 - 6. What is the remainder when l is divided by h?
6
Let t(r) = -3*r - 1. Suppose 0*b - 9 = 3*b. What is the remainder when 22 is divided by t(b)?
6
Suppose 6*p - 5*p = 22. What is the remainder when p is divided by 4?
2
Let z(q) = q + 6. Suppose 2*t - 5 - 45 = 0. Calculate the remainder when t is divided by z(7).
12
Suppose -2*j - 4 + 6 = 0. Let l be (-1)/((4 - j)/219). Let d = -24 - l. Calculate the remainder when d is divided by 17.
15
Let l be 3 + (-2 + 5)/3. Suppose 2*u - 10 = -0*u. Suppose 100 = l*f + f + 5*m, 36 = f + u*m. What is the remainder when 47 is divided by f?
15
Let u be (9/(-18))/(1/(-10)). Suppose -5*o + u*j = -3*o + 11, -o - j = -12. What is the remainder when 19 is divided by o?
5
Let r = 111 - 105. Calculate the remainder when r is divided by 3.
0
Let g = 14 - 2. Calculate the remainder when ((-2)/3)/((-10)/345) is divided by g.
11
Suppose 5*d - 3*d = 4. Suppose -8 + 34 = d*i. Calculate the remainder when 23 is divided by i.
10
Let r(q) = -q**2 - 11*q - 6. Let g be r(-9). Let w be (28/1 - 1) + 2. Let x = w - g. Calculate the remainder when 33 is divided by x.
16
Suppose -4*o = -20, 2*r + r + 3*o - 183 = 0. Calculate the remainder when r is divided by 23 + 6 - (-2 + 2).
27
Suppose -5*t + 26 = -9. Calculate the remainder when 12 is divided by t.
5
Let x = -36 + 37. Suppose -h = k + 1, -6*k + 3*k - 5 = 2*h. Let s = h + 0. What is the remainder when s is divided by x?
0
Suppose 0*k = 4*k - 4. Let t(i) = 33*i - 1. Let d(u) = u**2 - 3*u - 1. What is the remainder when t(k) is divided by d(6)?
15
Suppose 4*v = v + 5*n + 106, -3*v + 91 = -2*n. Let b(t) = t + 5. What is the remainder when v is divided by b(9)?
13
Let b = 8 - 3. Suppose 25 = k - 4*a - 8, -b*a - 135 = -5*k. Calculate the remainder when k is divided by 9.
7
Suppose g - 5 - 1 = 0. Calculate the remainder when g 