t a = 22 + -7. Suppose y = -0*y - 4*s + 14, -3*y - 4*s = -42. What is the remainder when (-198)/(-5) + 6/a is divided by y?
12
Suppose -2*o + 28 = m, 2*o - 13 = -m - 3*o. Suppose 5*a - 323 = -m. Calculate the remainder when a is divided by 20.
17
Let z(v) = -145*v**3 + v**2 + v - 1. Let l be z(1). Let k = -103 - l. What is the remainder when k is divided by 11?
8
Let k be (36/(-14))/(3/(-56)). Suppose -k = -4*a - 4*f, -3*f + 20 = -8*f. Calculate the remainder when 62 is divided by a.
14
Suppose -5*v + 3*q - 87 = 0, 2*v + q + 11 = v. Let i be 50/v*(-6)/4. What is the remainder when (i/(-15))/((-2)/30) is divided by 2?
1
Let r = 9 + -6. Suppose r = 5*k - 17. What is the remainder when 10 is divided by k?
2
Suppose -3*i = -i - 4, -62 = -2*l - 4*i. What is the remainder when l is divided by 7?
6
Let r = -10 - -12. What is the remainder when 3 is divided by r?
1
Let r be ((-160)/(-25))/(2/10). Suppose r + 68 = 5*p. Let v = p + -10. Calculate the remainder when 29 is divided by v.
9
Let x = 54 - 34. Calculate the remainder when 79 is divided by x.
19
Suppose 5*q = -4*s - s + 185, 0 = 5*s + 2*q - 182. Calculate the remainder when 8 is divided by (2/6)/(4/s).
2
Suppose -4*y = 0, -2*y = -4*r - 0*y + 12. Let c(j) = -j**2 - 5*j. Let b be c(-4). Suppose b*o - 12 = 20. What is the remainder when o is divided by r?
2
Let n(r) = 8*r - 1. Suppose 4*q + 0*q - 5*y - 23 = 0, 3*y + 17 = 4*q. Suppose -1 = p - q. What is the remainder when n(p) is divided by 4?
3
Suppose 3*k = -12, -5*m + 0*k = 3*k - 63. Let j(n) = 5*n - 3. Let i be j(-5). Calculate the remainder when 27 is divided by i/(-6)*m/10.
6
Let y = 171 - 125. Calculate the remainder when y is divided by 16.
14
Let c(a) = -4*a. What is the remainder when c(-9) is divided by 13?
10
Let w(y) = y**3 + 4*y**2 - 6*y - 2. Let f be w(-5). Suppose -3 = -3*d + f. What is the remainder when 6 is divided by d?
0
Let m(p) = 3*p - 2. Calculate the remainder when 25 is divided by m(5).
12
Suppose -81 = -5*f - 21. Let v = 112 - 51. Let a = v - 26. What is the remainder when a is divided by f?
11
Suppose 0 = -2*s - 3*j + 4, -5*s + 1 = 5*j - 2*j. Calculate the remainder when (-3)/(-3)*s + 39 is divided by 20.
18
Let v(f) = -27*f**3 + 2*f**2 - 3*f - 1. Let y(d) = d**3 + d**2 - d - 1. Let x(b) = -v(b) + 2*y(b). Calculate the remainder when x(1) is divided by 927/63 + 2/7.
14
Suppose 0 = -g + 3 - 0. Let d = g + 0. What is the remainder when 7 is divided by d?
1
Let d(m) = -m**3 - 9*m**2 + 9*m + 10. What is the remainder when d(-10) is divided by 4/((-1)/(-2) - 0)?
4
Let n = 5 - -8. Let d(m) = 4*m**2 - 4*m - 1. Calculate the remainder when d(3) is divided by n.
10
Suppose 2*a + a + 252 = 5*j, 98 = 2*j - 4*a. Calculate the remainder when 202 is divided by j.
49
Let t(r) = r**2 + r - 3. Let j be 6*-1 + 3 - 0. Let a be t(j). What is the remainder when 13 is divided by 5*a*(-2)/(-6)?
3
Let y = 6 - -2. Suppose w + 28 = y*w. What is the remainder when w is divided by 3 - (-1 - -1)/1?
1
Let l(n) = -n - 3. What is the remainder when l(-7) is divided by 4?
0
Suppose -3*b + 6*q - q + 28 = 0, 5*b - 3*q = 36. Let d(r) = -r**2 + 6*r + 3. Calculate the remainder when 8 - ((-4)/(-2) + -1) is divided by d(b).
1
Let p = 1391 - 878. Calculate the remainder when (2/6)/(9/p) is divided by 11.
8
Let j = -7 + 10. Suppose d - 3*w - 11 = 2, -w = j*d - 39. Calculate the remainder when 25 is divided by d.
12
Suppose -44*h = -39*h - 175. Let i(g) = 2*g**2 + 5*g - 3. Let b be i(3). Let z = b - 12. What is the remainder when h is divided by z?
17
Let v = 80 + -45. Calculate the remainder when v is divided by 6.
5
Suppose x + 3*p = 13, -5*x - 2 = 5*p - 37. Let h(v) = 3*v - 6. What is the remainder when 21 is divided by h(x)?
3
Let d = 54 + -36. Let z = 29 + 3. Calculate the remainder when z is divided by d.
14
Let v = 1 + -6. Let u = v + 4. What is the remainder when 29 is divided by 2/u - 12/(-1)?
9
Let y = -8 - -19. What is the remainder when y is divided by 3?
2
Suppose 0 = -3*i - 2*i + 170. Calculate the remainder when i is divided by (-8)/2*(-45)/10.
16
Let g(n) = 2*n - 17. Let f(u) = -2*u - 2. What is the remainder when f(-2) is divided by g(9)?
0
Let w(p) = 22*p**2 + 4*p + 1. What is the remainder when w(-1) is divided by ((-9 + 2)/(-1))/1?
5
Let m = -2 + 1. Calculate the remainder when 34 is divided by (-2)/(m*2) + 11.
10
Suppose 5*v = 3*z - 55, 0*v = -4*z - 4*v + 116. What is the remainder when 48 is divided by z?
23
Let w = 6 - 0. Suppose -5*i + 52 + 40 = 2*j, 3*j = 2*i + 176. Let d = -39 + j. What is the remainder when d is divided by w?
5
Let n = -5 - -8. Let k = -31 + 44. Calculate the remainder when k is divided by n.
1
Let h(d) = -d**2 - 12*d + 27. What is the remainder when 53 is divided by h(-12)?
26
Let d be 5*(-1 - 87/(-15)). Suppose -q = 3*z + z - d, -z = -5*q + 78. What is the remainder when 46 is divided by q?
14
Let n(g) = -g**3 - 3*g**2 + 4*g + 1. Let a be n(-4). Suppose -4 = -j - a. Let q = 8 - j. What is the remainder when 8 is divided by q?
3
Suppose 2*d - 5*a = 44, 2*d - 110 = -3*d - a. Suppose -3*k + 5*k - 24 = 0. Calculate the remainder when d is divided by k.
10
Suppose -2*r - 157 = -665. Let c be r/(-6) - 4/(-12). What is the remainder when 40 is divided by (c/(-4))/((-3)/(-6))?
19
Let x = 169 - 100. Calculate the remainder when x is divided by 18.
15
Calculate the remainder when (-51)/85 - 123/(-5) is divided by 3.
0
Let a = -24 + 34. Let s(m) = 9*m + 1. Let u be s(-1). Let h = a + u. Calculate the remainder when 2 is divided by h.
0
Let t = -4 - -4. Calculate the remainder when (t + (1 - 0))*31 is divided by 16.
15
Calculate the remainder when 9 - -5 - -3 - 1 is divided by 5.
1
Let h = -23 + -17. Let x(u) = u**2 - 10*u + 4. Let n be x(6). Let g = n - h. What is the remainder when g is divided by 7?
6
Let k = -30 - -46. Calculate the remainder when k is divided by 9.
7
Let g(c) = c - c - c**2 - 4*c. Suppose -3*k - 7 = -5*j + 2, -4*k + j - 12 = 0. Calculate the remainder when g(k) is divided by 2.
1
Let w(f) = f**3 + 10*f**2 - 11*f + 10. Calculate the remainder when 38 is divided by w(-11).
8
Let f(v) = v**2 + 2*v + 15. Let j(d) = d + 9. Suppose 4*n + 0*n = 0. Calculate the remainder when f(0) is divided by j(n).
6
Let t be ((-88)/6)/(4/(-12)). Let m = -22 + t. Calculate the remainder when m is divided by 12.
10
Calculate the remainder when (-24)/(-40)*190/1 is divided by 30.
24
Let s(v) = -v - v**2 - 4*v**3 + 11*v**2 - 11*v + 5*v**3. Let o = 16 - 10. What is the remainder when s(-11) is divided by o?
5
Suppose 14 - 74 = -6*x. Calculate the remainder when 17 is divided by x.
7
Let x be 6/(-9) - (-128)/3. Suppose 0 = -5*q - 3*u - 2*u + 35, 4*q = 3*u + x. Let k = 63 - 38. Calculate the remainder when k is divided by q.
7
Suppose -5*l + 54 = -41. Suppose -l = -5*d + 2*x, -3*d + 0*x = 5*x - 30. What is the remainder when 8 is divided by d?
3
Calculate the remainder when (-4 + -109)*1*-1 is divided by 38.
37
Suppose 7 + 1 = 2*p. Suppose 0 = 6*b - b. Suppose 2*f = -n - 2, b = -4*n - 5*f + f + 8. What is the remainder when n is divided by p?
2
Let x(t) = t + 2. Let r be x(-3). Let h(v) = -5*v**3 + 2*v - 1. Let w be h(1). Let c = r - w. What is the remainder when 7 is divided by c?
1
Let c = -252 + 354. Let h = c + -72. Calculate the remainder when h is divided by 11.
8
Let b = 1 + -1. Let f(y) = y**2 + 16. Let c be f(b). Suppose 5*n - c = n. What is the remainder when 7 is divided by n?
3
Let g(y) = 2*y + 3. Let x(s) = 5*s**3 - 2*s**2 - s. Let o be x(-1). Let m = 9 + o. Calculate the remainder when 34 is divided by g(m).
7
Let a = 5 - 9. Let s(g) = g**2 - 4. What is the remainder when 34 is divided by s(a)?
10
Let i be (-74)/5 + 3/(-15). Let m = 9 - i. Calculate the remainder when 46 is divided by m.
22
Suppose 4 = -5*y + 6*y. Let k = 6 - y. Suppose 8*v = 3*v + 25, 0 = k*j + v - 47. What is the remainder when 62 is divided by j?
20
Suppose 3 = -x + 12. Let i = -2 + 19. What is the remainder when i is divided by x?
8
Suppose -1302 = -3*a - 4*a. Calculate the remainder when a is divided by 38.
34
Let f be -8*1 - (0 - 2). Let h(r) = r + 8. Let u be h(f). Suppose -3*m - 2*c = -6*m + 27, -u*c + 50 = 4*m. What is the remainder when 32 is divided by m?
10
Let r(w) = -9*w - 2. Suppose 3*x - 5*p = -25, 24 = -2*x - 2*x + 2*p. What is the