he remainder when 0 + 29/1 + m is divided by 11?
8
Suppose -28*f + 174 = -134. Suppose 0*j = -2*j + 86. Calculate the remainder when j is divided by f.
10
Suppose 163 + 61 = 2*g. Suppose -2*t = -f - 52, -5*t + 0*f - 2*f + g = 0. What is the remainder when 47 is divided by t?
23
Suppose -6*h = -5*h - 22. What is the remainder when h is divided by 6?
4
Suppose 5*w - 36 = 2*n - 4*n, 3*w - 58 = -4*n. What is the remainder when 36 is divided by n?
10
Let j be (-14 - -2)/(12/(-8)). Let w(m) = 3*m - 12. What is the remainder when 47 is divided by w(j)?
11
Let k = 2 - -4. What is the remainder when 14 is divided by k?
2
Let b(z) = 3*z - 13. What is the remainder when b(11) is divided by 3?
2
Suppose -154 + 39 = -5*s. Calculate the remainder when s is divided by 1/((-2)/(-16)) + 0.
7
Suppose -5*v = -10*v + 280. Calculate the remainder when v is divided by 15.
11
Suppose 0 = 5*p - p - j - 18, 0 = 5*j + 10. Calculate the remainder when 8 is divided by p.
0
Let u = 0 + 5. Calculate the remainder when 7 is divided by u.
2
Let w(f) = -5*f - 6. Calculate the remainder when 49 is divided by w(-5).
11
Let s = -9 + 14. Calculate the remainder when -5 - (-4*12)/4 is divided by s.
2
Let g = -5 + 12. Let h = 32 + g. Calculate the remainder when h is divided by 14.
11
Suppose -2*q = 4*x - 18, 2*q + 0*q - 23 = x. What is the remainder when (-2)/7 - (-876)/28 is divided by q?
9
Let u be (-2)/4*-6 + 3. Let q(s) = s**2 + 6*s. What is the remainder when u/(-18) - 176/(-6) is divided by q(-8)?
13
Suppose 0 = 3*l - 0*l - 2*a - 47, 0 = -5*a + 25. What is the remainder when 73 is divided by l?
16
Let l be ((-18)/27)/(2/(-180)). Let r = -21 + l. Calculate the remainder when r is divided by 14.
11
Suppose 1 = 2*h - h. Let f = 4 - h. What is the remainder when 8 is divided by f?
2
Let w be (-6)/9 - 191/(-3). Let v = -37 + w. Let n = -26 - -35. Calculate the remainder when v is divided by n.
8
Let q(p) = p**2 - 2*p - 1. Let i be q(4). Let k = 4 + i. Calculate the remainder when 32 is divided by k.
10
Let k(w) = -w**3 - 11*w**2 + 7*w - 16. What is the remainder when k(-12) is divided by 14?
2
Let q(s) be the second derivative of -s**3/6 + 13*s**2/2 + s. Calculate the remainder when 35 is divided by q(-6).
16
Let w = -3 + -3. Let y = 3 - w. Calculate the remainder when y is divided by 5.
4
Let g be 4/18 - 25/(-9). Let x(y) = -107*y + 1. Let o be x(-1). Suppose -g*b + 3*j + o = 0, j - 3 = -0*j. Calculate the remainder when b is divided by 20.
19
Suppose 0 = 3*z + 9 - 42. Let u(v) = -2*v**3 - 38*v**2 + 40*v + 21. What is the remainder when u(-20) is divided by z?
10
Suppose 0 = 5*w - 0*w - 2*n - 49, 0 = -4*n - 8. Suppose -3*i + 54 = z - 0*z, -3*i + z = -48. What is the remainder when i is divided by w?
8
Suppose -3*r = 6, 2*h + 2*h = 5*r + 198. Calculate the remainder when h is divided by 12.
11
Let i = -174 - -179. Let f(o) = o**3 + 3*o**2 - 3*o + 3. Calculate the remainder when f(-3) is divided by i.
2
Calculate the remainder when ((-26)/4 - 1)*-2 is divided by ((-1)/(-3))/(4/96).
7
Let i(t) = -t**3 + 5*t**2 + t + 5. Suppose -72 = -4*k - 0*u + 4*u, 4*k - 67 = 3*u. Calculate the remainder when i(4) is divided by k.
12
Suppose 0*a - 4*a = -4. Let s(f) = 27*f**3 + f**2 - 1. What is the remainder when s(a) is divided by 10?
7
Let x(r) = r**2 - 4*r - 1. What is the remainder when x(5) is divided by 3?
1
Suppose 0 = 5*f + c - 51 - 189, -123 = -2*f + 5*c. Calculate the remainder when f is divided by 1*(-2 + 3)*13.
10
Suppose -3*b + 48 = 5*b. Calculate the remainder when 45 is divided by b.
3
Let t be (-4)/6 - 10/(-15). Suppose 4*b - 88 = -t*b. Calculate the remainder when b is divided by 8.
6
What is the remainder when 4*-1 - (-8 + -73) is divided by 20?
17
Suppose -5*q + 27 - 477 = 0. Let c = -44 - q. What is the remainder when c is divided by 12?
10
Let v(u) be the second derivative of -u**5/20 - 3*u**4/4 - u**3/2 - 5*u**2/2 + 2*u. Let b = -15 - -6. Calculate the remainder when v(b) is divided by 8.
6
Let v(s) = -s**3 + 6*s**2 + s + 4. What is the remainder when 28 is divided by v(6)?
8
Suppose 4*q - 61 = 3. Let i = -55 - -29. Let u = 5 - i. What is the remainder when u is divided by q?
15
Let k(v) = v**2 - 4*v. Let j be k(5). Suppose o + 24 = j*o. What is the remainder when (-13 - (0 + -2))*-1 is divided by o?
5
Let k(s) = -4*s - 14. Calculate the remainder when 9 is divided by k(-5).
3
Suppose -i - 7 + 19 = 0. Suppose -5*p - 2*z - 4 = -175, p - 37 = z. What is the remainder when p/1 + 10 + -11 is divided by i?
10
Calculate the remainder when (-92 - -10)*2/(-4) is divided by 11.
8
Let g = -15 - -19. What is the remainder when 6 is divided by g?
2
Suppose 2*r + h = 6*h + 70, -105 = -3*r - 4*h. What is the remainder when 137 is divided by r?
32
Suppose -2*s + 5*s - 48 = 0. Calculate the remainder when 31 is divided by s.
15
Let g(x) be the third derivative of x**6/120 + x**5/10 + x**3/6 + 2*x**2. Let l be g(-6). Let k = 8 + l. Calculate the remainder when 17 is divided by k.
8
Let n(i) = -i**3 + 4*i**2 + 4. Let l be n(4). Suppose -l*m - 16 = -40. Calculate the remainder when m is divided by 3.
0
Suppose 110 = 2*j + 3*j. Let u(z) = -z**3 + 6*z**2 + 3. Let i be u(5). Let m = -16 + i. What is the remainder when j is divided by m?
10
Suppose -36 = 4*u - 192. Calculate the remainder when u is divided by 14.
11
What is the remainder when 66 is divided by (17 - 1) + (0 - -1)?
15
Let q(t) = t**2 + 9*t - 20. Let f(a) = 8*a**2 - a. Let x(p) = 2*p - 4. Let s be x(3). Calculate the remainder when f(s) is divided by q(-12).
14
Suppose -4*r = -25 - 75. Calculate the remainder when 122 is divided by r.
22
Suppose 2*s - 100 = -4*j - 0*s, 0 = 3*s - 6. Calculate the remainder when j is divided by 14.
10
Let j = 46 + -18. Calculate the remainder when 83 is divided by j.
27
Suppose -91 - 9 = -4*k. Calculate the remainder when 98 is divided by k.
23
Suppose 0*o = 4*o - 80. Let v = 59 - 21. Calculate the remainder when v is divided by o.
18
Let u(m) = -2*m + 33. Calculate the remainder when 8 is divided by u(14).
3
Let v(m) = 4*m**2 - 7*m + 4. What is the remainder when v(4) is divided by (-100)/(-7) - (-2)/(-7)?
12
Calculate the remainder when 144 + (-3 + 2 - -3) is divided by 50.
46
Suppose 0*m = 3*m - 33. Suppose -5*u + 16 = -4*u. Suppose -u = -4*j - j + 2*a, -2*j + a = -6. Calculate the remainder when m is divided by j.
3
Let a = -10 - -19. Calculate the remainder when a is divided by 6.
3
Let r = 91 + -75. What is the remainder when 78 is divided by r?
14
Suppose -5*v + t = -229, 3*t = 3*v + 7*t - 119. What is the remainder when 133 is divided by v?
43
Let r(t) = -3 - 5 - 4*t - 4*t + 3*t. What is the remainder when r(-5) is divided by 10?
7
Let v = -25 + 28. Suppose v*p + 18 = 3*i, 57 + 3 = 5*i + p. Calculate the remainder when 43 is divided by i.
10
Calculate the remainder when 39 is divided by (-1)/(0 - 2/20).
9
Suppose 2*a = -6, 0*a = n - 3*a - 42. Calculate the remainder when 129 is divided by n.
30
Let z(w) = -w**3 - 4*w**2 + 2. Let u be z(-2). Let o = u + 5. Calculate the remainder when o*-1*11/1 is divided by 4.
3
Let w(b) = -b**2 - 3*b + 2. What is the remainder when w(-3) is divided by 1?
0
Suppose 7*f - 2*f + 4*i - 231 = 0, -4*i - 192 = -4*f. What is the remainder when f is divided by 25?
22
Let m(b) = b**3 - 6*b**2 + 7*b - 7. Let l be m(5). Let v be -4 - (2 - l)*3. Calculate the remainder when v/(309/(-102) + 3) is divided by 18.
16
Suppose 22 = 5*n + 12. What is the remainder when n is divided by 2?
0
Let u be (8/6)/((-2)/15). Calculate the remainder when ((-32)/u)/(6/45) is divided by 9.
6
Suppose -w + 306 = 5*w. Calculate the remainder when 202 is divided by w.
49
Let y(t) = t**2 - t - 1. Suppose 3*z = -4*n - z + 8, -2*z = -3*n + 16. Suppose -2*m + 0*m = -12. What is the remainder when y(n) is divided by m?
5
Let q(d) = -d. Let z be q(4). What is the remainder when (4 - (-87)/z)*-4 is divided by 18?
17
Suppose 2*j - u = 81, j + 2*u + 0*u = 33. Calculate the remainder when j is divided by 15.
9
Let m be 5/((-20)/(-8)) - -1. Suppose -m*t + 78 = -0*t. Calculate the remainder when 77 is divided by t.
25
Let t(y) = 53*y**2. What is the remainder when t(1) is divided by 14?
11
Suppose 3*c + 5*y = 12, 2*y = 3*c - 5*c + 8. Suppose -2*w + 48 = -i + 5*i, c*w + 24 = 4*i. Calculate the remainder