ulate the remainder when 6 is divided by 8/4 - 0/s.
0
Let n(g) = g**2 + 8*g - 8. Let w(f) = f**3 + 3*f**2 + 3*f - 1. Let p be w(-3). What is the remainder when 46 is divided by n(p)?
10
Suppose -b + 31 = 3*h, -h + 4*b + 29 - 10 = 0. Let r = 56 - 25. What is the remainder when r is divided by h?
9
Suppose -19 = -2*w + 4*l + 11, -20 = w + 5*l. Suppose w*f = -29 - 11. Let k = -5 - f. What is the remainder when 4 is divided by k?
1
Let b be (-1 + 2)/1 - -1. Let u = b + 0. Suppose 0*i + 22 = u*i. Calculate the remainder when 20 is divided by i.
9
Suppose -2*n + 10 = 2. Suppose -3*s + 0 - 3 = -3*z, -n = -4*z + 3*s. Let p(x) = -x**3 + 6*x**2 - 4*x - 3. Calculate the remainder when p(5) is divided by z.
0
Suppose 0*r - f - 27 = -5*r, 4*r - 24 = 2*f. What is the remainder when 7 is divided by r?
2
What is the remainder when 68 is divided by -1 - 0 - (-2 + -17)?
14
Suppose -193 = -3*h - 2*i, -2*h + i = -89 - 49. What is the remainder when h is divided by 17?
16
Suppose 5*l = -k + 83, 3*l - 5 = k + 48. Calculate the remainder when l is divided by 6.
5
Suppose 0*q - q = -14. Suppose 3*w - q = 2*w. Let r = 55 + -28. Calculate the remainder when r is divided by w.
13
Let l = -1 - -3. Suppose k + l = -1. What is the remainder when 22 is divided by 12/(2 - k/(-6))?
6
Let u = -175 - -113. Let p be (-1 - -3)*u/(-4). Suppose 5*m - p = 9. Calculate the remainder when 14 is divided by m.
6
Calculate the remainder when 64/(-48)*(-135)/2 is divided by 31.
28
Let s(p) = 6*p + 114. What is the remainder when s(0) is divided by 13?
10
Let u = 8 - -39. Let q(o) be the third derivative of -o**5/60 + 3*o**4/8 - o**3/3 - 2*o**2. What is the remainder when u is divided by q(7)?
11
Let g = 21 - 12. Calculate the remainder when g is divided by 4.
1
Suppose -85 + 5 = -4*g. Suppose k + 1 = -2*n - 2, -2*k + 34 = -4*n. Calculate the remainder when g is divided by k.
6
Let f(a) = 2*a**2 - 4*a + 3. Let v(o) = -o**2 + 4*o + 5. Let k be v(6). Let g = -5 - k. Calculate the remainder when f(2) is divided by g.
1
Let p be (-4)/(-10) + 1368/30. Let h be (-14)/8*-4*3. Let o = p - h. Calculate the remainder when o is divided by 9.
7
Let x(z) = z**3 + z**2 - z + 82. What is the remainder when x(0) is divided by 28?
26
Suppose 0 = -d - d + 32. Suppose 3*l = 4*a - 101, -10*a + 3*l = -7*a - 72. Calculate the remainder when a is divided by d.
13
Let x = 124 + -43. What is the remainder when x is divided by 12?
9
Let l = 172 - 144. What is the remainder when 51 is divided by l?
23
Let d be (15/6)/(2/4). Suppose -3*i + 75 = d*h - i, 4*h - 48 = -4*i. Suppose -2*r + h = -r. Calculate the remainder when 32 is divided by r.
15
Let u = 9 + -6. What is the remainder when 3 is divided by u?
0
Let g = -11 + 16. What is the remainder when 11 + -2 - (1 - -1) is divided by g?
2
Suppose 0 = -2*x - 6*x + 24. Let n(v) = 2*v + 2. Let u be n(-4). Let m = x - u. What is the remainder when 16 is divided by m?
7
Suppose -14*b - 105 = -19*b. Suppose q - 8 = 4. What is the remainder when b is divided by q?
9
Let i(v) = -v**2 + v + 3. Suppose 0 = -5*q + 4*q. Let u be i(q). Suppose -h + 14 = 3*w + w, w + 42 = u*h. Calculate the remainder when h is divided by 5.
4
What is the remainder when 71 is divided by 99/22*4/3?
5
Suppose 348 - 56 = 4*h. Calculate the remainder when h is divided by 25.
23
Suppose -5*f + 45 = -2*f. Let a = f - 11. Calculate the remainder when a is divided by 3.
1
Let v = 5 + -3. Suppose 0*f = -4*f - 20. Let g(l) = -l**3 - 5*l**2 - l - 2. What is the remainder when g(f) is divided by v?
1
Let w(i) = 30*i**2 + 2*i + 1. Let q be w(-1). What is the remainder when -2 - (0/2 - q) is divided by 14?
13
Let g(x) = -2*x + 17. Calculate the remainder when g(-14) is divided by 12.
9
Suppose 3*c - 3 = -2*b - 0*b, 0 = -3*c - b. What is the remainder when (-1)/(1/15*c) is divided by (-4)/(-3)*90/15?
7
Suppose 3*f - 6*f + 87 = 3*i, -2*i = -f + 38. Calculate the remainder when (1/2)/(4/f) is divided by (-2)/7 + (-16)/(-7).
0
Suppose -2*t - 13 = c, 2 - 6 = t - 2*c. Let a = t - -18. Calculate the remainder when 24 - (0 + -1)/(-1) is divided by a.
11
Let i(l) = 11*l - 3. Let y be ((-7)/(-2))/((-1)/2). Calculate the remainder when i(2) is divided by 2/y + (-102)/(-14).
5
Let w be ((-12)/4)/((-9)/12). Let i = w - -6. What is the remainder when i is divided by 4?
2
Let p be 2 - (-1 + (1 - -3)). What is the remainder when p + (-1 - (-2 + -1)) is divided by 1?
0
Let l be (-3 + -1)*1/2. Let w = -8 - -24. Calculate the remainder when w is divided by (-84)/(-15) + l/(-5).
4
Suppose 0 = -3*y + 3*h + 30, 0 = 4*y - 0*y - 2*h - 32. Suppose 3*n - 72 + 3 = 0. What is the remainder when n is divided by y?
5
Suppose t - 11 = 1. What is the remainder when 20 is divided by t?
8
Suppose -6*i = -9*i + 96. Calculate the remainder when i is divided by 11.
10
Suppose 5*j - 70 = -3*d, 7*j - 2*j - 70 = 4*d. What is the remainder when 53 is divided by j?
11
Let a(k) = -2*k**3 - 2*k**2 + 2*k + 2*k**3 + k**3. Let f(g) = g + 1. Let s be f(1). What is the remainder when 6 is divided by a(s)?
2
Calculate the remainder when (5 + -3)/(1/25) is divided by 17.
16
Suppose 0 = 3*t + 12, 0*v - 13 = 3*v + 4*t. Suppose 0 = -4*q - 5*j - 62, q + 2*q - 2*j = -58. What is the remainder when 22 is divided by (-8 + v)*q/21?
4
Suppose 4*w - 3*l - 50 - 65 = 0, -3*w = -4*l - 81. Calculate the remainder when w is divided by 8.
7
Suppose 0 = 5*s - 6 - 4. Suppose -l + s = l. What is the remainder when 25 is divided by l/2 - (-50)/4?
12
Let u = 56 + -34. Calculate the remainder when 64 is divided by u.
20
Suppose -2*o = 3*o + 4*j - 7, j = -3*o + 7. Let h be (4/o)/(12/18). Suppose -12 - 4 = -h*k. Calculate the remainder when 22 is divided by k.
6
Suppose z = -5*z + 48. Calculate the remainder when z is divided by 3.
2
Let f = 89 + -65. Calculate the remainder when 71 is divided by f.
23
Calculate the remainder when 89 is divided by 567/(-42)*(-4)/6.
8
Let a(v) = v**2 - v + 1. Let j(w) = -2*w**3 + 2*w**2 + w + 1. Let t be j(2). Calculate the remainder when a(t) is divided by 17.
14
Let z(x) = 4*x + 2. Let g be z(2). Suppose 2*n - g = -2. Let v = n + 6. Calculate the remainder when 29 is divided by v.
9
Let w = -4 + 3. Let u(q) = -10*q - 5. Let t(n) = -9*n - 4. Let b(j) = 4*t(j) - 3*u(j). What is the remainder when 7 is divided by b(w)?
2
Let x(g) = -2*g**2 + 22*g + 7. What is the remainder when x(10) is divided by 14?
13
Let o = 79 + -46. Suppose 2*b = 5*b - o. Let r = 33 - 12. Calculate the remainder when r is divided by b.
10
Let s(z) = -10*z - 10*z - 2 + 9*z - 9*z. Calculate the remainder when s(-2) is divided by 2/2*(-13)/(-1).
12
Let m(k) = 30*k - 1. Let g = 61 - 92. Let o = g + 46. What is the remainder when m(1) is divided by o?
14
Let r(j) = -j**2 + 19*j + 16. What is the remainder when 30 is divided by r(19)?
14
Suppose -16 = -5*n + 2*c - 2, c + 2 = 0. Suppose -3*i + 160 = n*i. What is the remainder when i is divided by 12/(-8)*(-68)/6?
15
Suppose 0 = 18*d - 13*d - 110. What is the remainder when 82 is divided by d?
16
Let h = 3 - 0. Suppose -j - 4*j + h*z + 49 = 0, -2*z = 6. Calculate the remainder when 6/(-15) + (-117)/(-5) + 0 is divided by j.
7
Suppose 7 + 15 = 2*b. Suppose -4*h - 60 = -4*q, -4*h = -7*h - 6. Let w = 34 - q. What is the remainder when w is divided by b?
10
Calculate the remainder when 3*((-16)/6 + 2) - -32 is divided by 11/((0 + -1)*-1).
8
Let r = 3 + -3. Suppose -4*a - a + 45 = r. What is the remainder when 3/21 + (724/(-7))/(-4) is divided by a?
8
Let o(m) = -m**3 - m**2 + 5*m + 4. Suppose -7*f = -9 - 12. Suppose r + 5*c = -f*r + 72, r + 2*c - 18 = 0. Calculate the remainder when r is divided by o(-3).
4
Suppose -4*t + 20 = -9*t. What is the remainder when ((-7)/2)/(t/24) is divided by 6?
3
Let b(j) = -j + 25. Let v(x) = 2*x**2 + 4. Let o be v(-2). Calculate the remainder when 62 is divided by b(o).
10
Suppose 12 = 8*g - 4*g. Suppose 2*b + 3*o = -9 - 0, -3*o = 3*b + 6. Calculate the remainder when b is divided by g.
0
Let g be 140/18 - 8/(-36). What is the remainder when 21 is divided by (-44)/6*(-12)/g?
10
Let t(q) = -q**3 + 10*q**2 + 13*q - 4. Suppose 0 = -2*p + 3*p - 33. What is the remainder when p is divided by t(11)?
15
Suppose -3*c = -2*c - 54. Let r = 2 - -12. What is the remainder when c is divided by r?
12
Suppose 84 = 2*w - l