t w = 105 - 79. Calculate the remainder when w is divided by x.
5
Let d(x) = -x**3 + 11*x**2 + x - 2. Calculate the remainder when 26 is divided by d(11).
8
Let f be 3/6 + (-54)/(-4). Suppose -3*q = 9, -a + 2*q = q - f. Calculate the remainder when 41 is divided by a.
8
Suppose -3*c - 2*c = -90. Suppose -4*r - c = -3*r. Calculate the remainder when (r/7)/((-3)/21) is divided by 5.
3
Suppose -3*w + 76 = 5*q - 29, 0 = 2*q - w - 31. Suppose -5*v + 5*d = -60, 0*v - 3*d = -4*v + 43. Calculate the remainder when q - (1 + -2)/1 is divided by v.
5
Suppose -4*g = 4*v - 132, -3*v + 10 + 53 = 2*g. Let x = 56 - g. What is the remainder when 79 is divided by x?
19
Suppose -2 - 18 = -2*n. Suppose 0 = m + 1. What is the remainder when 0/(-2) - m*29 is divided by n?
9
Let i(n) = n**2 + 6*n - 1. Let u = -9 - -3. Let j be i(u). What is the remainder when 8/1 + -1 + j is divided by 2?
0
Let f(g) = -g**3 + 5*g**2 - 4*g - 5. Let m be f(5). Calculate the remainder when (-8)/(-16) - m/2 is divided by 7.
6
Let v be (20/(-35))/((-1)/7). Suppose -4*x = 12, v*q - x - 63 = q. Calculate the remainder when 77 is divided by q.
17
Suppose 3*i = -3*g + 24, -4*i + 5*i = 3*g - 12. Suppose 67 - 212 = -g*m. Calculate the remainder when m is divided by 15.
14
Suppose 8*c - 214 = 66. Calculate the remainder when c is divided by 12.
11
Let r(w) = 4*w - 4. Let u = -4 + 16. What is the remainder when r(u) is divided by 15?
14
Let n = 45 - 4. Suppose 6*k = 9*k - 2*c - 23, 3*c - 70 = -5*k. What is the remainder when n is divided by k?
8
Calculate the remainder when 26 is divided by 42/(-4)*36/(-27).
12
Let m = 2 + 1. Let o(j) = j - 8*j**m + 17*j**3 - 4 + 6 - 3. What is the remainder when o(1) is divided by 5?
4
Let c(z) = -z**3 + 7*z**2 - 3*z - 1. Let f(m) = m**3 - 2*m**2 + 1 + m**2 + 2*m + 3 - 3. Calculate the remainder when c(3) is divided by f(2).
8
What is the remainder when 39 is divided by (6/(-4))/(3/(-22))?
6
Suppose -u + 0*u = -8. What is the remainder when 30 is divided by u?
6
Let p(a) = -a + 10. Let b be p(16). Let g(c) = c + 1. Let s(u) = u + 2. Let k(j) = 4*g(j) - 6*s(j). Calculate the remainder when 10 is divided by k(b).
2
Let q = 70 + -66. What is the remainder when 13 is divided by q?
1
Suppose 3*w = -2*s + 11, 0 = -0*w - 4*w - s + 13. Suppose 39 = -0*d + w*d. Calculate the remainder when (5/(-3))/((-3)/45) is divided by d.
12
Let i(m) = m + 15. What is the remainder when 57 is divided by i(0)?
12
Suppose d - 21 = 3*y, 3*y - 6*y + 3*d - 21 = 0. Let s = y + 10. What is the remainder when 7 is divided by s?
1
Let u(i) = i**3 + 6*i**2 + 7*i + 12. Let z be u(-5). Suppose 2*d + 3*a = 3*d - 4, -z*d + 5*a + 9 = 0. What is the remainder when 23 is divided by d?
2
Suppose 5*d + 4*g = -0*d + 70, -g + 42 = 3*d. What is the remainder when 23 is divided by d?
9
Suppose -2*t = 4*k - 18, -1 = t + 2. What is the remainder when 13 is divided by k?
1
Let g(n) = n**2 + n + 6. Suppose 22 = 2*a + y - 3*y, -2*y + 13 = 3*a. Calculate the remainder when g(-5) is divided by a.
5
Suppose 0 = -4*s + 28 - 8. Suppose 3*d - 1 = v, -3*v = 4*d - 10 - 26. Calculate the remainder when v is divided by s.
3
Suppose 4*l + 2*x = 10, 4*l + 15 = -0*l + 3*x. Suppose -j - 2*n + 15 = -l, n = -3*j + 35. What is the remainder when j is divided by 7?
4
Suppose -3*a = -3*n + a - 3, -5*n - 4*a + 27 = 0. Suppose 2 = 2*d, l - 3*d = n*l - 49. Suppose -5*g + 2 = -l. Calculate the remainder when 13 is divided by g.
3
Calculate the remainder when (-15)/(-10)*584/12 is divided by 19.
16
Let h(s) = -9*s**3 - 3*s - 4. What is the remainder when h(-2) is divided by 19?
17
Let l(j) = -j**3 + 6*j**2 - 6*j + 1. Let p be l(6). Let o = 23 - p. Calculate the remainder when o is divided by 20.
18
Let l(q) = q**2 - q + 28. What is the remainder when l(0) is divided by 10?
8
Let q = 34 - 10. What is the remainder when q is divided by 9?
6
Suppose 3*p - 5 = 2*p. Let x = 38 - 21. Calculate the remainder when x is divided by p.
2
Let v = 5 + 26. Calculate the remainder when 121 is divided by v.
28
Let z be ((-3)/9)/(2/(-894)). Let r = z + -20. Suppose 2*q + s + 42 = r, 5*q + 5*s - 225 = 0. Calculate the remainder when q is divided by 15.
12
Let h(s) = -41*s. Let n(i) = 2 - 3*i - 2*i - 2. Let u(r) = 5*h(r) - 40*n(r). What is the remainder when u(-5) is divided by 9?
7
Let m be 0 - (-20)/(-6)*6. Let z = m - -28. Calculate the remainder when 22 is divided by z.
6
Let l(f) = 3*f**2 + 11*f + 39. Calculate the remainder when 294 is divided by l(-3).
30
Let p(h) = h + 16. Calculate the remainder when 30 is divided by p(0).
14
Let c(z) = -16*z**3 + 2*z**2 - 1. Calculate the remainder when 2*(165/(-2))/(-5) is divided by c(-1).
16
Let q = 40 - -16. Let b = q + -40. What is the remainder when 46 is divided by b?
14
Let g = -19 + 39. Suppose -d + 62 = -s, -4*d + 3*s = -2*d - 128. Calculate the remainder when d is divided by g.
18
Suppose 4*x = -3*h + 176, -3*x - 5*h + 83 = -49. What is the remainder when x is divided by 12?
8
Let u = -30 + 39. Calculate the remainder when 17 is divided by u.
8
Suppose 27 = 4*v - 25. Let g = -6 + v. Suppose 93 + 7 = 5*p. What is the remainder when p is divided by g?
6
Suppose q - 8 + 4 = 0. Calculate the remainder when 11 is divided by q.
3
Let s = 29 + -13. Let x be (s/6)/((-4)/(-6)). Suppose 2*q = -5*u + 76, 2*u = -x*q - 0*u + 120. What is the remainder when q is divided by 10?
8
Let m = 53 - 27. What is the remainder when 101 is divided by m?
23
Suppose 3*g = -12, -3*g = -4*o - 4*g + 112. Let z(h) be the second derivative of 2*h**3/3 - h**2/2 - 3*h. What is the remainder when o is divided by z(4)?
14
Let s = 17 + -3. Let z = s - 24. Let j = z - -34. What is the remainder when 46 is divided by j?
22
Let y = -2 + 5. Suppose v + 5*b = y, 17 = 4*v + 3*b + 5. Calculate the remainder when 7 is divided by v.
1
Let d(x) be the second derivative of -x**5/20 + x**4/4 + x**3 - x**2 + x. What is the remainder when d(4) is divided by 6/10 - 68/(-20)?
2
Suppose 4*u + 22 = 590. Suppose -4*z + 55 = 3*n - u, -3*n + 192 = 3*z. Calculate the remainder when n is divided by 30.
29
Let k(q) = -7*q - 10. Calculate the remainder when 70 is divided by k(-5).
20
Suppose -5*w - 4 = 2*p - w, -6 = 3*w. Suppose -l = -3*l - 2*b + 122, 0 = -p*b + 4. Calculate the remainder when l is divided by 15.
14
Let n(o) = o**2 + 9*o + 10. What is the remainder when n(-8) is divided by 2?
0
Suppose -4*h = 2*k - 7*k + 21, -3*k + 11 = -4*h. Let s(y) = y**2 - 4*y + 5. Calculate the remainder when 18 is divided by s(k).
8
Suppose -40 = -p - 3*p. What is the remainder when (3 - 2/1)*29 is divided by p?
9
Let k be 1/((-2 - 1)/(-75)). Let h = k + -11. What is the remainder when h is divided by 8?
6
Let n(q) = -q**2 - q + 1. Let c(h) = -h**3 - 4*h**2 - 2*h + 11. Let y(o) = -c(o) + 6*n(o). Calculate the remainder when y(4) is divided by (12/(-10))/((-1)/5).
5
Suppose 5*y - 208 = y. Let x be (10/(-8))/((-5)/40). Suppose 4*g = x + 62. Calculate the remainder when y is divided by g.
16
Suppose 5*b + 10 = x, 4*x - 15 - 10 = 5*b. Suppose -q = j - 14, x*q + j - 48 = 2*q. What is the remainder when q is divided by 6?
5
Let q(j) be the third derivative of -j**5/60 - j**4/3 - 2*j**3/3 + 2*j**2. Let c be q(-8). Let o(l) = -3*l + 5. What is the remainder when o(c) is divided by 9?
8
Let z(l) = -l**3 + 5*l**2 + 6*l + 6. Let p = -4 + 10. Let f(d) = d**3 + 4*d**2 - 2*d + 3. What is the remainder when f(-4) is divided by z(p)?
5
Let n(o) = 6*o**2 - 4*o - 3. Let i = 366 + -350. Calculate the remainder when n(-3) is divided by i.
15
Let f(w) be the second derivative of -w**4/12 + 3*w**3/2 + w**2 + 3*w. What is the remainder when 30 is divided by f(7)?
14
Suppose -8 + 65 = 3*h. What is the remainder when 35 is divided by h?
16
Let j(m) = -m**3 + 5*m**2 + 6*m + 3. Let r be j(6). Let b = 42 - 27. Calculate the remainder when b is divided by ((-8)/r)/((-3)/9).
7
Let w be ((-1)/2 + 1)*2. Suppose -10 = -4*n + 6. Let v = n - w. What is the remainder when v is divided by 3?
0
Suppose -4*k + 58 + 18 = 0. Suppose 0 = -4*w + 2*l + 36, -2*l = -5*w - 4*l + 54. Calculate the remainder when k is divided by w.
9
Let o = -9 - -61. Calculate the remainder when (-2)/(o/27 - 2) is divided by 10.
7
Let f(d) = -d + 7. Let b(h) = h**3 - 20*h**2 - 22*h + 25. What is the remainder when f(0) is divided