ed by x.
10
Suppose -3*q = -4*o + 60, 4*o - 4*q + 18 - 82 = 0. Calculate the remainder when 21 is divided by o.
9
Let s(y) = -4*y - 1. Let q(b) = -b**2 + 7*b - 2. Calculate the remainder when q(6) is divided by s(-1).
1
Let w = 10 - 7. Suppose -h - 2*h + 183 = w*p, -5*p + 10 = 0. Calculate the remainder when h is divided by 15.
14
Let b be 3/(-2) + 2/4. Let q = 3 - b. Suppose 43 = q*c - 29. Calculate the remainder when 52 is divided by c.
16
Suppose 0 = -3*v + 4*p + 35, -5*v - 3*p + 8*p + 50 = 0. Suppose -29 = -2*o - s, v*o + 0*s + s = 65. What is the remainder when o is divided by 8?
4
Suppose -3*x = -2*x + 5*d - 239, 868 = 4*x - 2*d. Let c = x - 103. Suppose -y = -5*y + c. What is the remainder when y is divided by 10?
9
Let l(v) = -v - 7. What is the remainder when (-287)/(-35) + (-1)/5 is divided by l(-11)?
0
Let x(f) = -f**3 - 3*f**2 + 11*f + 7. Let o be x(-8). Suppose 4*l + y - 193 = -0*l, 5*l - o = -2*y. What is the remainder when l is divided by 2/(0 + 2/17)?
15
Let t(d) = 3*d**2 + 19*d + 27. What is the remainder when t(-7) is divided by 14?
13
Let s(t) = t**2 + 3*t + 4. Let a be 0 + (-12)/3 + 0. Let y be s(a). Suppose 52 = 2*h + y. What is the remainder when h is divided by 6?
4
Suppose -383 - 163 = -6*v. What is the remainder when v is divided by 24?
19
Let t be 3 + 0 + -1 + 1. Suppose 2*i = 5 + t. Suppose -i*b - 2*v = 3*v - 22, -4*v = -b + 16. Calculate the remainder when b is divided by 3.
2
Let y = 27 + 2. Suppose -y + 96 = p. Suppose -5*f + p = 4*t, 4 = -3*f + 1. Calculate the remainder when 53 is divided by t.
17
Suppose -57 = -p - 2*n, -130 = -5*p - 3*n + 120. Let s(o) = 2*o**2 - 12*o - 4. Calculate the remainder when p is divided by s(7).
7
Suppose -2*y = 60 - 22. Let p = -78 - -45. Let o = y - p. Calculate the remainder when o is divided by 8.
6
Let o(j) = -j**3 + 4*j**2 - 3*j + 1. Let k be o(2). Let x = 1 + k. Let v = x + 1. Calculate the remainder when 14 is divided by v.
4
Suppose 2*w - 72 = -4*w. What is the remainder when 32 is divided by w?
8
Let g(y) = 3*y**2 - 3*y + 2. Suppose 0 = m, -m - 6 = -2*r + m. Let p(t) = t**3 + 5*t**2 + t - 1. Calculate the remainder when g(r) is divided by p(-4).
9
Let h(d) = 14*d + 3. Let v be h(3). Suppose 2*i - 1 - v = 0. What is the remainder when 66 is divided by i?
20
Suppose 0 = -r - 2*n + 19 + 1, 100 = 5*r - 5*n. Calculate the remainder when r is divided by 6.
2
Let v(h) = -2*h. Let f be v(-1). Suppose -f*i + 6 = -4. Suppose 0*b - 47 = -5*w - 2*b, -i*w = -b - 44. What is the remainder when 26 is divided by w?
8
Suppose 0 = 5*a + 4*d - 47 - 38, a - 5*d = -12. Suppose a = 5*c - 22. What is the remainder when 27 is divided by c?
6
Let g = -8 + 18. Calculate the remainder when g is divided by 4.
2
Let l(s) = -s**3 - 2*s**2 + 1. Let n be l(2). Let x = 0 - n. Calculate the remainder when 57 is divided by x.
12
Suppose 3*n - 44 = 4*l, 0 = 3*n - 2*l - 1 - 33. What is the remainder when 15 is divided by n?
7
Suppose 0*v - 3*v + 18 = 0. Let m = -49 - 83. What is the remainder when (2/(-3))/(8/m) is divided by v?
5
What is the remainder when (-9)/(-11) + -1 - 783/(-11) is divided by 15?
11
Let f be -1 - (1 - -34*1). Let o = 61 + f. Calculate the remainder when o is divided by 1/3 + 52/6.
7
Suppose -5*q + 2 + 18 = 0. Let l = 12 - 6. Suppose 0 = -0*d + 3*d - l, 126 = q*z + d. Calculate the remainder when z is divided by 11.
9
Calculate the remainder when ((-1470)/12)/(-7) + 2/4 is divided by 3.
0
Let m(l) = 3*l**2 + 6*l + 1. Let n(x) = -4*x**2 - 6*x - 2. Let v(w) = -6*m(w) - 5*n(w). Let i = 21 - -13. Calculate the remainder when i is divided by v(4).
10
Let y be ((-3)/3)/((-1)/(-2)). Let q be (-33)/y*(11 - 7). Suppose -q = -3*c - 9. What is the remainder when c is divided by 11?
8
Let p = 146 + -59. Calculate the remainder when p is divided by 18.
15
Suppose 4*w - 3*m = 92, 2*w + m = 3*w - 23. Suppose -2*i + 120 = -4*u, -2*i + 4*u = -7*i + 356. What is the remainder when i is divided by w?
22
Let o(m) = 2*m + 6. Let s be o(5). Suppose 3*d = 5*h + 8 - 31, -5*h = 4*d - s. Calculate the remainder when 9 is divided by h.
1
Let r(v) = v**2 + 3*v + 2. Suppose -3*g - 2 = 2*a, -3*g + 14 = -3*a - 4. Calculate the remainder when r(a) is divided by 3.
0
Suppose 0*l - 20 = -4*l. Suppose -52 = -l*w + 23. What is the remainder when w is divided by 8?
7
Calculate the remainder when -21*4/(2 - 6) is divided by 8.
5
Suppose 13 + 67 = 5*y. Let l = -101 - -146. Calculate the remainder when l is divided by y.
13
Let z(c) = 2*c + 6. Calculate the remainder when 53 is divided by z(4).
11
Suppose 5*f + 2 = 4*f. Let y(i) = i**3 + 3*i**2 - 1. Let p = -1 - -3. What is the remainder when y(f) is divided by p?
1
Let f = 109 - 79. Calculate the remainder when 59 is divided by f.
29
Suppose 25 = -3*h + g, -2*h + 3*g - 11 = -h. Let k(u) = -u. Let a = 34 + -5. Calculate the remainder when a is divided by k(h).
5
Suppose 2*x - x - 53 = 0. Let z = 9 - 8. Let u = 15 - z. Calculate the remainder when x is divided by u.
11
Let d = 35 - -20. Calculate the remainder when d is divided by 15.
10
Suppose -4 = -2*h + 38. Suppose h = 3*z - 15. Let y = 18 - 11. Calculate the remainder when z is divided by y.
5
Let l be (2 + (-3)/2)*82. Let b be ((-1)/(-2))/(10/(-260)). Let d = l + b. Calculate the remainder when d is divided by 10.
8
Let o(s) = s**2 + 2*s - 6. What is the remainder when 208 is divided by o(-8)?
40
Let h(s) be the second derivative of -s**4/12 + s**3 - 2*s**2 + 3*s. Calculate the remainder when 13 is divided by h(3).
3
Let x = 15 - 0. What is the remainder when 43 is divided by x?
13
Suppose 32 = 4*g + 4*c, 0 = -g - 7*c + 2*c - 4. What is the remainder when (-76)/6*9/(-6) is divided by g?
8
Suppose -7*l + 2*l = -10. Suppose 2*j + 4 = p, 0 = l*p - p - 3*j + 1. Calculate the remainder when 26 is divided by p.
12
Let h(b) = 34*b**2 - b + 2. Let g be h(-2). Suppose -v = 3*v - g. What is the remainder when v is divided by 18?
17
Let b = 17 + -14. What is the remainder when b is divided by 1?
0
Let s = 1 + 28. Let c be (-1)/(2 - 10/4). Suppose 0 = b + c*v - 5*v - 27, 48 = 4*b + 3*v. Calculate the remainder when s is divided by b.
14
What is the remainder when 1776/10 + (-9)/15 is divided by 36?
33
Let i = -9 - -15. Let a(v) = -v**3 + 8*v**2 - 8*v + 6. Suppose 4*h - 65 = t, 0 = -t - 2 + 1. Calculate the remainder when a(i) is divided by h.
14
Let d = -3 + 6. Suppose -u - 3*r + 40 = 2*r, 0 = d*r - 12. What is the remainder when 39 is divided by u?
19
Suppose -7*z + 10*z = 60. What is the remainder when z is divided by 4?
0
Let o = 5 - 13. Let i(p) = -27*p - 1. Let f be i(1). Let k = o - f. Calculate the remainder when k is divided by 7.
6
Let n = 16 + -10. What is the remainder when 20 is divided by n?
2
Suppose -2*l - 16 + 2 = -n, -5*l - 38 = -3*n. Let i = n - 4. Let a(f) = -f**3 + 7*f**2 - 6*f + 5. Calculate the remainder when a(6) is divided by i.
1
Let k = -65 + 93. Calculate the remainder when k is divided by 8.
4
Let r = -5 + 7. Let p be r/3*-3 - 0. Let z(f) = -4*f**3 - 2*f**2 - f - 1. What is the remainder when z(p) is divided by 9?
7
Let y(w) = -w**2 + 19*w - 21. Let x be y(18). Suppose -4*z = -5*m + 92, 3*z - 3*m + 74 = 2*m. Let f = x - z. What is the remainder when f is divided by 8?
7
Let m be (-6 - -9)*10/6. Suppose 0 = m*c - c - 28. Calculate the remainder when 12 is divided by c.
5
Let h(i) = -3*i - 3. Calculate the remainder when h(-7) is divided by 10.
8
Suppose 0 = m - 0*m - 10. Let j(u) be the second derivative of u**4/12 - 4*u**3/3 - 4*u**2 + u. What is the remainder when 47 is divided by j(m)?
11
What is the remainder when 21/(-2)*(-48)/18 is divided by 5?
3
Suppose 5 - 3 = m. Suppose 0 = -5*d + 5*u + 30, 3*u - 26 = 4*d - 5*d. Let f = d - 6. Calculate the remainder when f is divided by m.
1
Suppose 5*q + 170 = 2*b, 273 + 49 = 4*b - q. Suppose 3*k + b = 8*k. Suppose -2 + 8 = y. What is the remainder when k is divided by y?
4
Calculate the remainder when 57 is divided by ((1*-2)/2)/(1/(-21)).
15
Suppose -26 - 64 = -2*s - 5*z, -75 = -s + 5*z. What is the remainder when s is divided by 14?
13
Suppose -4*j + 335 = 131. Suppose -j = -3*n + 15. What is the remainder when 64 is divided by n?
20
Suppose -z + 2 = -3*v - 7, 0 = v - 2. Suppose 2*h = 0, -4*t = 2*h - 6*h - 112. Calculate the remainder when t is divided b