remainder when q is divided by 16.
14
Let r(w) = -6*w + 79. Calculate the remainder when 0 + 11 - (1 + -1) is divided by r(12).
4
Suppose 8*m - 4*m - 28 = 0. What is the remainder when 34 is divided by m?
6
Calculate the remainder when 77 is divided by ((-18)/4 - 0)*(-24)/12.
5
Suppose 0*l - 3*l + 18 = 0. What is the remainder when (-2)/(-1 + 14/16) is divided by l?
4
Suppose 2*f = 5*b + 63, 2*b - f = -26 + 1. Let p = -2 - b. What is the remainder when 31 is divided by p?
9
Suppose 4*o - 4*j = -j - 78, 3*o - 4*j = -62. Suppose u = 2*t + t, 3*u - 5*t = -4. Let z = u - o. What is the remainder when 43 is divided by z?
13
Let l = -10 - -6. Suppose -2*p + 7 = 3. What is the remainder when (p - 1)*(l + 30) is divided by 7?
5
Suppose -2*d = 4*m - 92, 5*m - 115 = d - 6*d. Let q(i) = i**2 + 5*i - 6. Let z(u) = -4*u - 2. Let x be z(2). Calculate the remainder when q(x) is divided by m.
21
Let x(h) be the second derivative of 2*h**3/3 - 10*h**2 - 3*h. Suppose y - 6*y = u - 39, -3*u + 41 = -4*y. Calculate the remainder when x(14) is divided by u.
17
Let k(h) = -4*h + 17. Suppose -w - 12 = w. Suppose q + 3 - 24 = 0. Calculate the remainder when k(w) is divided by q.
20
Let r = -25 - -61. Suppose 162 = 5*s - 3*v, 0 = -0*s + s + 3*v - r. Calculate the remainder when s is divided by 12.
9
Let w(z) = 3*z**2 + 6*z - 1. Let p be w(-5). Let a = 71 + p. Suppose 5*k + a = 5*j, 4*j - 59 = 3*k + 32. Calculate the remainder when j is divided by 8.
6
What is the remainder when 1 - 4 - (-35 + 15/5) is divided by 8?
5
Let h = -33 + 21. Let a = h + 33. Calculate the remainder when 61 is divided by a.
19
Suppose -73 = -3*x - q, 3*q = -3 - 3. Calculate the remainder when x is divided by 15*(-1 + (-24)/(-15)).
7
Let a(p) = -p**2 + 3*p - 3. Let l be a(2). Let b be ((-15)/12)/(l/40). Suppose 2*q - q = b. Calculate the remainder when q is divided by 17.
16
Suppose 2*i + 27 = -5*f - 19, 0 = 4*i - 2*f + 44. Let x(w) = w + 19. Calculate the remainder when 11 is divided by x(i).
5
Let f = 11 + 3. Suppose 17 = 3*r - 1. Suppose r*v = 2*v + 108. What is the remainder when v is divided by f?
13
Suppose -2*j = 0, -j + 36 = 8*y - 6*y. What is the remainder when 51 is divided by y?
15
Let r be (-15)/(-35) - 802/(-7). Let s = r + 9. Suppose 0*b + 4*b = s. Calculate the remainder when b is divided by 11.
9
Let n(u) = 28*u**2 - u - 1. Calculate the remainder when 128 is divided by n(1).
24
Let f = -20 + 10. Let l(s) = 2*s**2 + 5 - 10*s + 0 - 3*s**2. What is the remainder when l(f) is divided by 3?
2
Let z = 12 - 6. Let n(x) = -x**2 + 7*x - 8. Let r be n(z). Let y = r - -7. What is the remainder when y is divided by 2?
1
Let t(b) be the third derivative of -b**4/24 + b**3 + 5*b**2. Calculate the remainder when 34 is divided by t(-6).
10
Let b = -77 - -98. What is the remainder when 59 is divided by b?
17
Suppose -9*c + c + 424 = 0. Calculate the remainder when 211 is divided by c.
52
Suppose -g + 5*f = -40 - 45, 4*g = 5*f + 325. Let s(z) = 2*z + 7. What is the remainder when s(7) is divided by g/14 + 2/7?
3
Suppose 4*h + t + 0*t = 36, t = -2*h + 20. Let b = 22 - h. Calculate the remainder when b is divided by 5.
4
What is the remainder when (-8455)/(-76) + 1/4*-1 is divided by 28?
27
Suppose 3 = n - 0*n. Suppose 0*h - 45 = -n*h. Let k = 82 - 53. Calculate the remainder when k is divided by h.
14
Suppose 4*q + 0*f - 3*f = 23, -3*f - 13 = -2*q. Let a = q + 7. Suppose -3*o + a = o. Calculate the remainder when 4 is divided by o.
1
Suppose -4*p - 111 = -3*v, -p - 4 = -1. What is the remainder when v is divided by 18?
15
Let s(i) = -2*i - 8. Let r be s(-6). Suppose 5*m - 125 = -3*p, -5*m - r*p + 135 = -3*p. Calculate the remainder when 53 is divided by m.
25
Suppose -4*o - 4*s + 20 = 8, 5*s - 15 = 2*o. What is the remainder when 23 is divided by 12 - 1/2*o?
11
Let c(a) = -a**2 - 5*a - 3. Let j be c(-4). What is the remainder when j/(3/231) - -3 is divided by 27?
26
Let m = -24 + 91. What is the remainder when 130 is divided by m?
63
Let p(u) = 7*u**3 + 6*u**2 - 11*u + 5. Let n(o) = 11*o**3 + 9*o**2 - 17*o + 8. Let q(a) = -5*n(a) + 8*p(a). What is the remainder when 26 is divided by q(2)?
12
Suppose n - 12 = -5*p + 36, 0 = -5*n + p + 344. Suppose 0*g = 2*g - n. Suppose 0*b - 18 = -b. Calculate the remainder when g is divided by b.
16
Let q(u) = 5*u**3 + u**2 - 3*u + 1. Let z = -7 - -9. What is the remainder when q(z) is divided by 14?
11
Let r = -2 - -4. What is the remainder when 4 is divided by 5 - (0/r + 3)?
0
Let o(w) be the third derivative of -5*w**4/24 + w**3/6 + 6*w**2. Calculate the remainder when 47 is divided by o(-3).
15
Let m(i) = i**3 + 2*i**2 - i. Suppose -x - 2*r + 6 = 0, -3*x - 14 = r - 3*r. What is the remainder when 7 is divided by m(x)?
1
Let d(b) = b**2 - 1. Calculate the remainder when 22/3*(-1 - -4) is divided by d(-3).
6
Let z = -11 + 29. Suppose 5 - z = -q. Suppose 0 = 2*t + 17 - 27. Calculate the remainder when q is divided by t.
3
Let q = 129 + -67. What is the remainder when q is divided by 16?
14
Let s = 4 - -9. Calculate the remainder when 23 is divided by s.
10
Let g be (0 - 0) + (-460)/(-5). Suppose 2*h - g = -22. Calculate the remainder when h is divided by 0 - 1 - (-65)/5.
11
Suppose 4*j - 301 = -5*u, 2*j + 61 = u + 3*j. Suppose 0*y + 3*y - u = 0. Calculate the remainder when y is divided by (-34)/(-5) + 5/25.
5
Let l(w) = -37*w**3 - 3*w**2 - 3*w - 1. Calculate the remainder when 106 is divided by l(-1).
34
Let h be -2 - 12/9*-3. Suppose 0 = -r + h + 15. What is the remainder when 48 is divided by r?
14
Let y(p) = p**2 + 26*p + 15. What is the remainder when y(-27) is divided by 24?
18
Let k(z) = z**3 + 7*z**2 + 2*z - 4. Let y = -24 - -20. What is the remainder when 107 is divided by k(y)?
35
Let g = 31 + -26. Let o = -14 + 21. What is the remainder when o is divided by g?
2
Suppose -5*l = -136 + 26. Calculate the remainder when l is divided by 4.
2
What is the remainder when 2 is divided by (3 + 20/(-8))/((-1)/(-2))?
0
Suppose 12 = 2*g + 2. What is the remainder when 8/6*(g + 13) is divided by 7?
3
Suppose -79 = -3*z - 4*h, 0 = z + 2*z + h - 76. Calculate the remainder when 70 is divided by z.
20
Let a = 11 - 6. Suppose 235 = a*b - 110. Calculate the remainder when b is divided by 18.
15
Let b = 2 - 0. Suppose -3*k - b*g = 4, 6*k - k - 20 = 2*g. What is the remainder when k is divided by 1?
0
Suppose 3*u + u - 8 = 0. Suppose 5*m - 4*d = 39, -2*d = -m - u*m + 23. What is the remainder when 12 is divided by m?
5
Let a(y) = -2*y + 2. Suppose -3*x - 3 = -0*x. Calculate the remainder when (-6)/(x + 9/15) is divided by a(-3).
7
Suppose 2*p - p - 5 = 0. Calculate the remainder when 12 is divided by p.
2
Suppose -f = -4*t + 3*f + 68, 0 = -4*t + 3*f + 63. Calculate the remainder when t is divided by 5.
2
Let v(j) = -3*j + 2. Suppose 29 = -3*z - z + 5*w, -5*w = 4*z + 19. Calculate the remainder when v(z) is divided by 11.
9
Suppose -6 = 3*u, -2*m = -2*u - u - 100. Let g = 122 - 110. What is the remainder when m is divided by g?
11
Let p(k) = -4*k - 2. Let r be p(-4). Let w = -6 + r. Calculate the remainder when 22 is divided by w.
6
What is the remainder when (-1 + -22)*3*5/(-3) is divided by 29?
28
Suppose -q + 2*z = -48, 77 + 43 = 2*q + 4*z. Let g = -30 + q. Calculate the remainder when g is divided by 9.
6
Suppose -3*m = -9 - 0. Suppose 0 = -4*o + 4*d - 4, -4*o - 4*d - 3 = -23. Suppose o*s - 8 = s. What is the remainder when s is divided by m?
2
Let f(v) = v**3 - 3*v**2 - 3*v + 6. What is the remainder when (-68)/51 + 58/3 is divided by f(4)?
8
Let v be 3 + (2 - 31) + 1. Let c = v - -35. What is the remainder when 18 is divided by c?
8
Let b be 2/(-1 + 3)*0. Suppose w - 4 = -4*f - w, b = f - 5*w - 12. Calculate the remainder when 2 is divided by f.
0
Suppose 0 = -2*d - 1 + 27. Suppose -51*i = -42*i - 441. Calculate the remainder when i is divided by d.
10
Let t(i) = i**3 - 2*i**2 + 2*i. Let w be t(3). Let o = 25 - w. What is the remainder when 27 is divided by o?
7
Let l(c) = -c**2 + 13*c - 7. Let u be l(12). Suppose 6 = j + u. Calculate the remainder when j is divided by 1.
0
Let d be (-1 - 1)/4*-2. Let x(f) = 17*f**2 - 1. Calculate the remainder when 31 is divided by x(d).
15
Let g be (2 - 13/5)*-5. Let d(y) = 6 + 3*y + 2*y**2 + y**3 - 3 - 8*y**3 + 6*y**3. What i