What is the remainder when y is divided by 12?
10
Suppose -3 = -5*v + 2*v - f, 6 = -3*v - 4*f. Let t = -1012 + 1039. What is the remainder when t is divided by 8*v + 0 + -1?
12
Let k = -21 + 18. Let t(i) = -2*i**3 + 4*i**2 - i - 3. Let s = 32 + -9. Calculate the remainder when t(k) is divided by s.
21
Suppose 0 = 11*l + 9*l - 1080. Calculate the remainder when 157 is divided by l.
49
Let f = -3 + 7. Suppose -2*h - p = -48 + 13, 0 = f*h - p - 73. Calculate the remainder when 4/(-18) - 26/(-36)*46 is divided by h.
15
Suppose -5*h + 2*z - 8 = 0, 3*h + z + 0*z = 4. Suppose -k + 6*k - 240 = h. Let i = -24 + 34. Calculate the remainder when k is divided by i.
8
Suppose -55*k = -34*k - 63. Let n(c) = c**3 + 2*c**2. Let j be n(-2). Suppose 0 = -j*w - 3*w + 6. What is the remainder when k is divided by w?
1
Calculate the remainder when 235 is divided by (-7)/((-49)/(-35)) - -81.
7
Let s be ((-16)/10)/(-2)*5. Let y = -4 + s. Suppose -60 = -5*g - y. Calculate the remainder when 35 is divided by g.
11
Let l(a) = 2*a**3 - 3*a**2 + 2*a - 2. Suppose 0 = 2*n - 5*n + 18. Suppose 9*y - 6*y = n. Calculate the remainder when 17 is divided by l(y).
5
Let y(k) = 21*k. Let h = -6 + 8. Let n be y(h). Let l = n + -29. What is the remainder when 38 is divided by l?
12
Let t(n) = -n**2 + 4*n - 4. Let h(v) = -v**2 + 4*v - 3. Let u(x) = -6*h(x) + 5*t(x). Calculate the remainder when 75 is divided by u(-3).
18
Let o(l) = l**2 + 5*l - 6. Calculate the remainder when 52 is divided by o(-8).
16
Let r = -69 + 57. Let t(x) = -12 - 5*x + 3*x + 4. What is the remainder when t(r) is divided by 6?
4
Calculate the remainder when 352539/648 + (-3)/72 is divided by 7.
5
Let b(j) = -j**2 - j + 1. Let x(r) = -7*r**2 - 10*r + 6. Let g(c) = -6*b(c) + x(c). Let d = 5 - 8. Calculate the remainder when 7 is divided by g(d).
1
Let d = -15 - 3. What is the remainder when 27 is divided by (-84)/d - 2/(-6)?
2
Suppose -2*d - 5*w = -56, 0*w = -2*w. What is the remainder when d is divided by 1 - (0 + 3) - -10?
4
Suppose 2*y + 2*a - a = -22, y - 2*a + 11 = 0. Calculate the remainder when (-6)/y - 34938/(-198) is divided by 15.
12
Let n = -92 - -141. Suppose 4*l = -2*f - 194, -f - 2*f + 9 = 0. Let q = l - -63. What is the remainder when n is divided by q?
10
Suppose 2*n - 310 = -3*n. Suppose -3*z - 16 = 107. Let g = n + z. What is the remainder when g is divided by 8?
5
Let b(q) = 4*q**2 + 9*q + 3. Let a(x) = -3*x**2 - 8*x - 3. Let z(o) = -3*a(o) - 2*b(o). What is the remainder when (-1 - -6) + -99 + 131 is divided by z(-7)?
7
Let q = 593 + -585. What is the remainder when 109 is divided by q?
5
Let s be -3 + 5 - 2 - -18. Let q = s + -19. What is the remainder when 46 is divided by 1 - ((-16 - q) + 0)?
14
Let q(z) = -35*z - 48. Calculate the remainder when q(-5) is divided by 8.
7
Let d = -106 + 131. Let h(m) = 62*m - 2. Let v be h(2). Suppose 27*n = d*n + v. What is the remainder when n is divided by 16?
13
Let j(d) = 16*d + 59. Let w be j(-9). Let m = w - -142. What is the remainder when 227 is divided by m?
56
Let z be (3 + -1)*(6/3)/(-4). Let j(f) = 7*f**2 - 3*f - 1. Suppose -y + 4*y - 51 = 0. Calculate the remainder when y is divided by j(z).
8
Let m = -253 - -181. Let d = -67 - m. Calculate the remainder when 29 is divided by d.
4
Let p(o) = -35*o + 1. Let c be p(-4). Let u = c - 128. Calculate the remainder when u is divided by 10.
3
Let p(k) = 3*k**2 + 8*k - 19. Calculate the remainder when 202 is divided by p(-6).
38
Let q = -17 + 26. Suppose -q = -5*m + 1. Suppose 55 + 53 = m*i. What is the remainder when i is divided by 14?
12
Let i(d) be the third derivative of -d**4/12 + 7*d**3/3 - 2*d**2. Calculate the remainder when i(0) is divided by 3.
2
Suppose -m + 0*m - 3 = 2*l, -5*l - m - 12 = 0. What is the remainder when (-4)/(-6) - 232/l is divided by 40?
38
Let x = 3154 + -3143. Let n(s) = -31*s + 1. What is the remainder when n(-1) is divided by x?
10
Suppose w - 10*w + 2799 = 0. Calculate the remainder when w is divided by 26*((-55)/(-33) - 1/6).
38
Suppose 0 = -2*u + 5*n + 105, -3*n + 4*n = -5*u + 276. What is the remainder when 433 is divided by u?
48
Let h(i) = -i**2 - 2*i - 12. Let l(k) = 2*k**2 + 5*k + 25. Let w(x) = 5*h(x) + 3*l(x). Calculate the remainder when 61 is divided by w(-6).
19
Let k = 1810 - 1775. Calculate the remainder when 171 is divided by k.
31
Let m(t) = -t**3 - 18*t**2 - t + 15. Let z be m(-18). Let l = z - 15. What is the remainder when 33 is divided by l?
15
Suppose 10 = -2*w + 30. Calculate the remainder when (1 + -4)*1 - -21 is divided by w.
8
Let m(d) = -d**3 - 28*d**2 - 32*d - 120. Calculate the remainder when m(-27) is divided by 14.
1
Let q = 18 + -11. Suppose -5*w + 3*y + 21 = 0, w - q = 2*w + 5*y. Suppose -28 = -w*j + 47. Calculate the remainder when j is divided by 13.
12
Suppose 5*z + 5612 = 5637. What is the remainder when 35 is divided by z?
0
Suppose 5*q + 80 = 5*v, 5*v + 5*q - 19 = v. Suppose v = -9*c + 10*c. Calculate the remainder when 42 is divided by c.
9
Let k(q) = 7*q**2 - 78*q + 48. Calculate the remainder when 157 is divided by k(11).
9
Let h(d) = d**2 - 14*d + 23. Let f be h(11). Calculate the remainder when (-22 + 21)*f/2 is divided by 2.
1
Let x be 26/(-14) + 2/(-14). Let b = 8 + x. What is the remainder when 29 is divided by b?
5
Let v(b) = 18*b + 40. Calculate the remainder when v(1) is divided by 37.
21
Let l = -10 + -8. Suppose t + 2*o + 8 = 2, 21 = -t - 5*o. Calculate the remainder when t is divided by ((-4)/(-12))/((-2)/l).
1
Suppose 7*g - 291 - 31 = 0. What is the remainder when g is divided by 44?
2
Let l = 64 - 104. Let o = 14 - l. Calculate the remainder when o is divided by 14.
12
Let r(c) = -6*c + 5. Let x(a) = 7*a - 4. Let o(l) = -4*r(l) - 3*x(l). Calculate the remainder when o(11) is divided by 14.
11
Suppose -3*b = -3*w - 3, 0 = -0*b - b - 4*w + 21. Suppose -z + 0 = 1, -b*i - z = -14. Suppose -i*l + 80 = -10. What is the remainder when 119 is divided by l?
29
What is the remainder when 563 is divided by -2*(243/(-6) + 5)?
66
Let k(m) = 121*m**3 + m**2 - 2*m + 1. Let t be k(1). Let y = t - 83. What is the remainder when y is divided by 13?
12
Let d(v) = 45*v. Let m be d(1). Let b = m - 11. What is the remainder when 135 is divided by b?
33
Let n(i) = i**2 - 6*i - 6. Let w be n(7). Calculate the remainder when w/2 - ((-294)/12)/7 is divided by 2.
0
Suppose -7*j + 18 = 4. Calculate the remainder when 74 is divided by j + 0 + -1 + 38.
35
Let m = 96 - 93. Calculate the remainder when (-751)/(-3) + 14/(-6) + m is divided by 51.
47
Suppose 3*b + 4 = 16. Let g(r) = 6*r - 5. Suppose -i + 292 = -5*o + 9*o, -o = 4*i - 73. What is the remainder when o is divided by g(b)?
16
Let j be ((-45)/(-10))/((-1)/(-26)). Suppose -2*c = -5*c + j. Calculate the remainder when 153 is divided by c.
36
Let g(i) = -i**3 + 6*i**2 + 7*i + 5. Calculate the remainder when 40 is divided by g(7).
0
Suppose 1211 + 49 = 9*d. Calculate the remainder when d is divided by 48.
44
Suppose -3*x + 13 + 74 = 0. Calculate the remainder when x is divided by 8.
5
What is the remainder when 87 is divided by ((-220)/15)/4*-12?
43
Suppose 0 = -4*r - 5*y + 112, 5*r - 181 = -0*r + 4*y. Suppose 0 = -2*f - 2*f + 56. Suppose 0 = i + 2 - f. What is the remainder when r is divided by i?
9
Let x(a) = a + 10. Let u be x(0). What is the remainder when u - (10/5 - 2) is divided by 3?
1
Let z be 36*4/((-8)/(-33)). What is the remainder when (1/2)/(9/z) is divided by 22?
11
Let u = -11 + 12. Calculate the remainder when 109 is divided by (u + -3)/((-2)/28).
25
Suppose -2*s + 186 = 4*v + 38, -3*v + 116 = -s. Calculate the remainder when v is divided by 10.
8
Suppose 2*q - 119 = -z - 4*z, -q - 2*z = -60. Let o(y) = 17*y + 50. Calculate the remainder when q is divided by o(-2).
14
Let n(w) = -w**3 - 2*w**2 - 3*w + 3. Let q = 25 - 28. What is the remainder when n(q) is divided by 7?
0
Let w(u) = 270*u - 2149. Calculate the remainder when -1 + 3 + (-190)/(-2) is divided by w(8).
9
Let y be 529 + (-25)/(-5) + -10. Suppose -3*r + 631 = 5*n - 163, y = 2*r + 2*n. Calculate the remainder when r is divided by 52.
50
Let a = -8 - -10. Let n(w) = 6*w**2 - w + 7*w**a + 1 - 11*w**2. Calculate the remainder when n(3) is divided by 9.
7
Let f be 7/(6/(-2) + 4). Let j(h) = -h**3 + 6*h**2 + 7*h + 3. Le