e remainder when 34 is divided by b.
4
Let u(k) = -k + 12. Let j be u(8). Let x be (j - 16)*(-2)/6. Suppose 0*y = -x*y + 32. What is the remainder when 30 is divided by y?
6
Suppose 3*f + 150 = 6*f. Calculate the remainder when f is divided by 1*26/2*1.
11
Let g be 347/5 + (-2)/5. Calculate the remainder when (-2)/(-6) - g/(-9) is divided by 5.
3
Let y(w) = w**2 + 10*w. What is the remainder when 21 is divided by y(-11)?
10
Let s(x) be the second derivative of -2*x**3/3 - 3*x**2 - 3*x. Suppose -3*p + 4*l = -l - 9, l = 3*p - 9. What is the remainder when s(-4) is divided by p?
1
Suppose 0*i - 88 = -4*i. Calculate the remainder when 41 is divided by i.
19
Let n(r) = -1 + r - r + 3*r**3 + 2*r**2. Let d be n(1). Suppose -101 = -5*a - 0*u + u, d*a + 3*u = 77. Calculate the remainder when a is divided by 11.
9
Let k(x) = x**2 + 6*x - 3. Suppose 5*b - 2*q - 24 = 0, 3*b = 3*q - 8*q + 2. What is the remainder when k(b) is divided by (-2)/((-1)/(-38)*-4)?
18
Let v = 125 - 37. Suppose 0 = -r - 3*z + 18, 2*r - 3*z - 52 = -5*z. Calculate the remainder when v is divided by r.
28
Let d be ((-34)/3 + 2)*-3. Suppose -2*x + 5*x = -4*g + 41, d = 2*x + 3*g. What is the remainder when 32 is divided by x?
10
Let h = 20 + -14. Let k(o) = o**3 - 7*o**2 + 9*o - 7. What is the remainder when k(h) is divided by 6?
5
Suppose -y - 4*y = 20. Calculate the remainder when 29 is divided by (-30)/y*(-28)/(-21).
9
Suppose -4*y = 3*b - 92, 0 = -0*y - y + b + 30. Calculate the remainder when y is divided by 14.
12
Let v(p) = -18*p - 21. Calculate the remainder when v(-10) is divided by 18.
15
Suppose -3*z - 18*z = -1512. What is the remainder when z is divided by 37?
35
Suppose -x - 3 = -3*w, 2*w + 1 = x + w. Suppose -3*l - 8 = -l, 72 = 3*a + x*l. What is the remainder when a is divided by 15?
13
Let o(p) = -p**3 + 18*p**2 - p + 40. What is the remainder when 41 is divided by o(18)?
19
Let w(q) = 20*q - 9. What is the remainder when w(5) is divided by 23?
22
Suppose -2*h + 27 = -3*d, 21 = 4*h - 3*h - 4*d. Suppose 3*p = 4*p - h. Calculate the remainder when 16 is divided by p.
7
Let m(l) = 4*l - 22. What is the remainder when 104 is divided by m(11)?
16
Let h(n) = -4*n**2 + n + 1. Let j be h(-1). Let d be ((-12)/9)/(j/(-18)). Let y = 18 + d. Calculate the remainder when y is divided by 7.
5
Suppose -n - u + 75 = 17, -146 = -2*n + 4*u. Let b(c) = c**3 - 7*c**2 + 10*c - 8. Calculate the remainder when n is divided by b(6).
15
Suppose m = v + 13, -37 = 2*v + 2*v + m. Suppose 5*h - 5*u - 35 = 0, -4*u = -5*h - 12 + 42. Calculate the remainder when h is divided by (-5)/v + 1/2.
0
Suppose y = -2*y - 3. Calculate the remainder when 2*(16 + y)/3 is divided by 6.
4
Suppose 2 = 3*f - 7. What is the remainder when 5 is divided by f?
2
Suppose 5*x + 0*i - 25 = -2*i, i = -4*x + 23. Suppose 0 = -2*q + 7 + x. Calculate the remainder when 3 - 2/4*-34 is divided by q.
6
Let a = -176 + 265. What is the remainder when a is divided by 23?
20
Let q = -3 + 4. Suppose 0 = c - 6*c + 5, 2*t - 5 = -5*c. Suppose 5*k - 4*w + 16 = k, t = 2*w - 10. What is the remainder when k is divided by q?
0
Let m(a) = -a**2 + 5*a - 1. Let z(r) = 2*r. Let w be (-78)/(-21) - (-2)/7. Calculate the remainder when z(w) is divided by m(4).
2
Let v(u) = u**3 + 8*u**2 - 3. Let x be v(-8). Let o(h) = -7*h - 4. Calculate the remainder when 32 is divided by o(x).
15
Let y = -81 - -255. Calculate the remainder when y/18 + 2/6 is divided by 6.
4
Suppose 0 = a - 17 - 2. What is the remainder when a is divided by 11?
8
Suppose 4*x + 8 = 2*a + 572, 0 = -2*a + 4. What is the remainder when x is divided by 36?
34
Suppose 4*u = -3*y + 22, -11 = -5*u + 4*y + 32. Calculate the remainder when u is divided by 6.
1
Suppose 4*k + w - 50 = 0, -3*k - 2*w = -4*k + 17. What is the remainder when 0 + 2 + 36 - 1 is divided by k?
11
Let x(t) = 16*t**3 - 1. What is the remainder when (-11)/(2 + 27/(-12)) is divided by x(1)?
14
Suppose 0 = 2*v - 6*v + 36. Suppose 0 = 5*d + 25, 4*i - 3*d - 2*d - 73 = 0. Suppose -2*z = -20 - i. What is the remainder when z is divided by v?
7
Let w(a) = -a**2 + 10*a + 13. Let u be w(11). What is the remainder when 2 is divided by 3 + (3 - 3 - u)?
0
Suppose 2*i + 0*i = t + 20, -t - 32 = -3*i. Calculate the remainder when 167 is divided by i.
11
Suppose -3*y - y = 20, 0 = 2*k - 4*y - 36. What is the remainder when 37 is divided by k?
5
Suppose 5*c - 25 = 20. Suppose 6*v + 87 = 243. Calculate the remainder when v is divided by c.
8
Let w = 123 + 106. What is the remainder when w is divided by 33?
31
Let j(i) = i**2 - 7*i - 19. Calculate the remainder when j(13) is divided by 20.
19
Let g(z) = 2*z + 2. Suppose -8 = 3*t - 32. Calculate the remainder when g(6) is divided by t.
6
Let l = 97 - -21. Calculate the remainder when l is divided by 17.
16
Let b(h) = 2*h**2 - 6*h + 2. Let w be b(-7). Let m = w - 87. What is the remainder when m is divided by 19?
17
Let o(x) = x**3 - 2*x**2 + x + 28. What is the remainder when o(0) is divided by 5?
3
Suppose -204 = -2*z - z. Suppose 0*n = -2*n. Suppose n = q + q - z. What is the remainder when q is divided by 12?
10
Let j = 33 + -20. Let k(r) be the third derivative of -19*r**4/24 + 2*r**2. What is the remainder when k(-2) is divided by j?
12
Let f(o) = -o**2 + 11*o. Suppose 5*c - 11 - 28 = 2*p, -4*c = -4*p - 24. What is the remainder when f(c) is divided by 7?
4
Let s = 81 + -45. Calculate the remainder when s is divided by 2 - (-21 + (-8)/(-2)).
17
Calculate the remainder when 62 is divided by 187/9 - 8/(-36).
20
Let c = 81 + -24. Suppose 15 = 4*y - c. Suppose -10 - 30 = -4*j. What is the remainder when y is divided by j?
8
Let j(q) = q**2 + 4*q + 2. Suppose 4 = 4*t - 3*n, 2*t - 4*n = t + 14. Let g be j(t). What is the remainder when 33 - ((-6)/(-3) + g) is divided by 17?
16
Let z be 14/(-8) + 17/(-68). Calculate the remainder when 29 is divided by 75/10 + z/(-4).
5
Suppose -2*u - 20 = -u. Let d = -10 - u. Calculate the remainder when 29 is divided by d.
9
Let o be 2 + 2*(-2 + 1). Suppose -d = -o*d - 52. Suppose 4*x - 78 = 3*p, 2*x + 2*p + 22 = 3*x. Calculate the remainder when d is divided by x.
16
Suppose v + 8 = -v, m - v = 25. What is the remainder when m is divided by 38/5 - (-2)/5?
5
Let q(d) = d**2 - 2*d. Let j be 1 + -3 - 5/(-1). Let p = 15 + -8. What is the remainder when p is divided by q(j)?
1
Calculate the remainder when 42 is divided by 1*-2 - (-12 - 5).
12
Let x = 98 + -64. Suppose -39 = -2*t - 3. Calculate the remainder when x is divided by t.
16
Let d = 0 - -1. Let g(r) = r**2 - 5*r + 8. What is the remainder when g(6) is divided by 1/(((-2)/(-10))/d)?
4
Let z = -13 - -16. Calculate the remainder when 9 is divided by z.
0
Let q(v) be the first derivative of 16*v**3/3 - v - 2. What is the remainder when q(1) is divided by 8?
7
Suppose -3*z - 5*u = -39, -3*z + 3*u = u - 18. What is the remainder when 21 is divided by z?
5
Suppose 0 = -4*j + 53 + 159. Suppose 5*m = 2*l - j, l + 5*m + 39 = 2*l. Suppose -u = -3, 5*r - 215 = -4*u - u. What is the remainder when r is divided by l?
12
Let t = -52 - -78. What is the remainder when 63 is divided by t + 0 + 28/(-7)?
19
Suppose 4*d + 5*j - 45 = 0, -3*j = 3*d + 2*j - 40. What is the remainder when 23 is divided by d?
3
Suppose 0 = -0*g - 3*g. Suppose g = 2*d - 5*p - 12 - 6, -5*p = 3*d - 27. What is the remainder when 26 is divided by d?
8
Let p(f) = f**2 + 4*f - 5. Let j be p(-6). Let u(r) = r**2 - 6*r - 5. Calculate the remainder when 3 is divided by u(j).
1
Let w(h) = -h**2 - h - 1. Let u(p) = -p**3 - 14*p**2 - p - 14. Let r(a) = -u(a) + 2*w(a). Calculate the remainder when r(-12) is divided by 13.
11
Suppose -2*h = 2*t - 16, -2*h - 2*h = -3*t - 32. Suppose 3*z = z + h. Suppose -z*g - 45 = -113. Calculate the remainder when g is divided by 6.
5
Suppose -55 = -4*m + 57. Suppose -m = -6*v + 2*v. Calculate the remainder when v is divided by 2.
1
Let q = 78 - 47. Suppose -2*g + 69 + 19 = 0. Suppose -4*o + 44 = 4*x, -g = -2*x - 2*x - 5*o. Calculate the remainder when q is divided by x.
9
Suppose 2*p - 8 + 1 = -3*x, -5*p = x - 37. Let k(f) = 3*f - 4. Calculate the remainder when k(6) is divided by p.
6
Suppose 2*p + 2*p = 16. What is the remainder when (-18)/(-10)*50/6 is divided by p?
3
Let c be -4 + -3 - (-1 - -1). Let i = c - -2. Le