 by k?
20
Let o(p) = 2*p**3 + 13*p**2 + 7*p - 3. Let y be o(-6). Let k(q) = q**2 + 9*q + 5. Calculate the remainder when 11 is divided by k(y).
1
Suppose -4*x + 178 + 8 = -5*w, -5*w - 10 = 0. Suppose -4*y = 2*v - x, 3*v = 5*y + 13 - 2. Calculate the remainder when 23 is divided by v.
11
Suppose 4*f = 4*z - f - 36, -5*z + 54 = -4*f. What is the remainder when 39 is divided by z?
11
Let b(x) = -x**3 - 2*x**2 - 5*x - 3. Let d(v) = -2*v + 20. Calculate the remainder when b(-3) is divided by d(6).
5
Suppose -3*g - 2*g + 2*y + 79 = 0, -3*y - 6 = 0. Let r be 21*2*1/(-6). Let p = r - -15. What is the remainder when g is divided by p?
7
Let a(o) = -o + 1. What is the remainder when a(-17) is divided by 10?
8
Suppose 2*t - 148 = -0*t. Calculate the remainder when t is divided by 19.
17
Suppose 2*z = -5*s + 194, -5*s - 4*z + 142 + 46 = 0. What is the remainder when s is divided by 14?
12
Suppose 5*u - 4*x - 22 = 0, x = -u + 3*x + 8. What is the remainder when ((-1)/u*-6)/1 is divided by 3?
0
Calculate the remainder when (-282)/(-10) + 8/(-40) is divided by 10.
8
Suppose -g - 4*a = -4, 2*g - 4*a = g - 20. Let t(k) = k**3 + 8*k**2 - 4*k - 3. Calculate the remainder when t(g) is divided by 10.
9
Suppose 0 = u + d - 3*d - 31, 4*d = 3*u - 93. What is the remainder when u is divided by 8?
7
Let w = 222 - 94. Suppose 0*d = -4*d + w. What is the remainder when d is divided by 12?
8
Let w = -23 - -48. Suppose 0 = 2*t + 1 - w. What is the remainder when 22 is divided by t?
10
Let t(r) = 7*r - 12. Let o be t(5). Let u = o - 18. Calculate the remainder when -1 - (2 + 1*-11) is divided by u.
3
Let r = 586 - 577. Calculate the remainder when 6/4*136/6 is divided by r.
7
Let o be (2/(-6))/(6/(-54)). Let f = o + -1. Suppose m = -f*m + 60. What is the remainder when m is divided by 11?
9
Suppose -124 = -2*c - 2*c. Suppose -4*q - b + 0*b = c, -b = 5*q + 40. Calculate the remainder when 57 is divided by (-3)/(9/5)*q.
12
Suppose 4*z - 5*b + 0*b = 135, -2*b = 6. Calculate the remainder when z is divided by 13.
4
Let l(b) = 16*b**2 + 8*b - 10. What is the remainder when l(2) is divided by ((-6)/4)/((-1)/12)?
16
Let a(k) = -k**3 + 5*k**2 + k - 5. What is the remainder when a(4) is divided by 4?
3
Suppose -4*n + 0*t = -3*t - 29, 0 = -4*n + 4*t + 32. Suppose n*w = -g + 16, g + 16 = 5*g - 4*w. What is the remainder when 7 is divided by 8/(3*g/9)?
3
Suppose -81*r = -77*r - 340. What is the remainder when r is divided by 18?
13
Let f(b) = 2*b + 1 + 30*b**3 + 0 - 2*b. Suppose -3*c + 2*l + 37 = 0, -3*c + 10 = 5*l - 13. Calculate the remainder when f(1) is divided by c.
9
Let m be (-2)/6 + (-4)/6. What is the remainder when 41 is divided by (28*1)/(3 + m)?
13
Let j = 2 + 0. Suppose -30 = -4*r - r. Suppose j + r = 4*o. What is the remainder when 4 is divided by o?
0
Let o(r) = -r + 10. Let l be (-28)/(-4) - 3 - -1. Calculate the remainder when 10 is divided by o(l).
0
Suppose -u = -2*d + 5*d - 49, 91 = 5*d + 4*u. Calculate the remainder when 72 is divided by d.
12
Suppose 5*q - 4*d - 12 = 0, -4*q = -d - 19 + 5. Calculate the remainder when 6 is divided by q.
2
Let s(z) = -2*z**2 - 2*z + 12. Calculate the remainder when 26 is divided by s(0).
2
Let a(b) = 8*b - 3. Let x(v) = v - 4. Let z be x(9). What is the remainder when a(z) is divided by 19?
18
Let n(c) = -c**2 - 11*c + 16. Let o be n(-8). Suppose -17 = -3*t + o. What is the remainder when 34 is divided by t?
15
Suppose -4*r + 70 = -26. What is the remainder when r is divided by 9?
6
Let y = 6 + -3. Suppose 5*h + 12 = 4*d, 4*h = 3*d - 0*d - 9. Suppose -4*x - 16 = 0, 2*f = d*x + 12 + 4. Calculate the remainder when y is divided by f.
1
Suppose 4*r - 36 = -0. Calculate the remainder when 43 is divided by r.
7
Suppose -3*n + 0*n + 30 = 0. Suppose n = 9*s - 8*s. Let g = -24 + 43. Calculate the remainder when g is divided by s.
9
Let x(n) = n - 1. Let c be x(0). Let m = 28 - c. Suppose -4*t + 61 = -5*s, -t - t + 3*s = -m. What is the remainder when 37 is divided by t?
18
What is the remainder when 99 is divided by (-5)/(-3)*(-1 - -3 - -13)?
24
Suppose 3*g + 5 = 4*o, -4*o + g - 11 = -9*o. Suppose -96 = -4*r + 5*b, -o*b + b = -r + 23. Let q = 13 - 3. What is the remainder when r is divided by q?
9
Let a be 0 + 0 + 1 + 1. Suppose -a*b - 3*z + 35 = 2*b, 2*z = 3*b - 22. Calculate the remainder when 32 is divided by 134/b - 1/(-4).
15
Let f be (1 - -18)*(-4)/(-4). Suppose 3*j = -5*r + f, 2*r - r + 4*j = 14. What is the remainder when 5 is divided by r?
1
Let v(f) be the first derivative of -f**4/4 - 16*f**3/3 - f**2 - 15*f - 5. What is the remainder when 67 is divided by v(-16)?
16
Let w(m) = 3*m**2 + m + 1. Calculate the remainder when w(2) is divided by 8.
7
Let u = -1 - 1. Calculate the remainder when 48 is divided by 2 + -1 + (-18)/u.
8
Suppose 5*a + 0*a - 105 = -3*c, -3*c - 4*a = -102. Suppose 80 = 2*b + c. Calculate the remainder when b is divided by 13.
12
Let y(x) = x + 2. Let z be y(0). What is the remainder when 14 is divided by z/(-8) - 34/(-8)?
2
Let l(j) = -j**3 - 10*j**2 - 6*j + 37. Calculate the remainder when 29 is divided by l(-9).
9
Let m = 42 + 38. Suppose -5*p + 0*p = -m. What is the remainder when p is divided by 6?
4
Let v(d) = d + 2 + 1 + d. Suppose 2*i = 27 + 7. What is the remainder when i is divided by v(3)?
8
Let w = -21 + 25. Calculate the remainder when 13 is divided by w.
1
Let j = 177 + 30. Calculate the remainder when j is divided by 52.
51
Let z = -165 + 247. Let d(i) = i**3 + 33*i**2 + 3*i + 113. Calculate the remainder when z is divided by d(-33).
12
Suppose 0 = -6*y + 8 + 28. What is the remainder when 28 is divided by y?
4
Suppose -4*y + 5*z - z + 24 = 0, -4*y = 3*z - 59. Calculate the remainder when 17 is divided by y.
6
Suppose -2*n - 8 = -4*b, -5*n + n - 10 = -5*b. Let t = n - -16. What is the remainder when 61 is divided by t?
13
Suppose -q + 11 = -2*q. Let t = q + 24. Let m = 56 + -19. What is the remainder when m is divided by t?
11
Let i = -24 + 29. Suppose 2 + 36 = 2*m. What is the remainder when m is divided by i?
4
Let a be 3 + (2 - (0 + -392)). Suppose -2*o - 5*k = -203, -2*o - k + a = 2*o. What is the remainder when o is divided by 25?
24
Let l = 193 + -110. Calculate the remainder when l is divided by 42.
41
Suppose 12 = 5*x - x. Suppose 0*w - 4*w = -x*j - 103, -2*w - 5*j = -19. Let v = 8 - -4. What is the remainder when w is divided by v?
10
Let s(q) = -2*q - 5. Calculate the remainder when 9 is divided by s(-5).
4
Let g = 27 - 20. What is the remainder when g is divided by 6?
1
Let i = -10 - -38. What is the remainder when 81 is divided by i?
25
Let r = -4 - -9. Suppose q + 7*l - 2 = 3*l, -r*q + 4*l = 38. Calculate the remainder when (174/4)/(q/(-8)) is divided by 20.
18
Let u = 19 - -2. What is the remainder when 62 is divided by u?
20
Suppose 5*l + 4*n - 73 = 0, 0 = -3*l - 2*n - n + 45. What is the remainder when 24 is divided by l?
11
Let a = 16 + -8. Suppose -3*d + 2*m = -57, -30 = -2*d + m + 3*m. What is the remainder when d is divided by a?
5
Suppose u - 5 = 4. Suppose -u = -0*z - 3*z. Calculate the remainder when z is divided by 2.
1
What is the remainder when 30627/581 - (-2)/(-14)*-2 is divided by 12?
5
Let p = 384 + -134. Let z(v) = -v - 8. Let k be z(-8). Suppose 5*n - p = -k*n. What is the remainder when n is divided by 17?
16
Calculate the remainder when (-2 + 33 - 1)*1/1 is divided by 11.
8
Let t = 6 + -10. Let y be 3/(-3*1/t). Suppose -2*r = -2*s - 44 + 8, s = y. Calculate the remainder when r is divided by 12.
10
Suppose 3*o - 5 = -4*u, 3*u + 5*o = -0*u - 10. Calculate the remainder when 4/(-14) - (-3105)/161 is divided by u.
4
What is the remainder when 6 + -2 + 0 + 1 is divided by 2?
1
Let c = -8 + 1. Let t(k) = k**2 + 6*k - 4. Calculate the remainder when 1/(2/12) + 1 is divided by t(c).
1
Let z = -15 + 39. Calculate the remainder when 95 is divided by z.
23
Let a(q) = -q - 12. Let y be a(-5). Let b(z) = -z**3 - 6*z**2 + 11*z + 9. Let s be b(y). Let t = 36 + s. Calculate the remainder when 50 is divided by t.
16
Let l(z) = z**2 + 4*z + 6. Let h(t) = -6*t - 6. What is the remainder when l(-5) is divided by h(-2)?
5
Let w be -2 - (-70 - (-1 + 2)). Suppose -41 = -5*j - 5*u + 74, -3*j - u = -w. What is the remainder when j is divided by 1 + 2/(-2) - -12?
11
Suppose -3*q + 