when k is divided by 12.
9
Let a(f) = 5*f**2 - 11*f - 4. Let m be a(3). Suppose m*o = -11*o + 1425. Let t = o - 57. Calculate the remainder when t is divided by 7.
4
Suppose k - 95 = 3*i, -175 = -2*k + 32*i - 31*i. Calculate the remainder when 352 is divided by k.
8
Let w = -18 - -32. Let j(m) = -21*m + 42. Let u be j(2). Suppose g = -u*g + w. What is the remainder when 20 is divided by g?
6
Let x(q) = q**3 - 17*q**2 + 62*q + 69. What is the remainder when 9775 is divided by x(7)?
12
Let u(p) = -p**3 - 5*p**2 + 3*p + 15. Let y be u(-6). Let o = y - -6. Let v = 36 - 22. Calculate the remainder when o is divided by v.
11
Suppose 0 = 128*u + 3012 - 24772. Calculate the remainder when 998 is divided by u.
148
Let o(u) = -4*u**2 - 20*u - 18. Let r(j) = j**2 - j - 2. Let l(w) = -o(w) - 5*r(w). Calculate the remainder when 102 is divided by l(24).
50
Let h(l) = 15*l**2 + l. What is the remainder when (38/(-8))/(154/(-1232)) is divided by h(-1)?
10
Suppose 30*h - 380 = 25*h. Let c = 24 + -10. Calculate the remainder when h is divided by c.
6
Suppose 3*v - 5*d + 6*d = 899, -4*v + 1188 = 4*d. What is the remainder when 911 is divided by v?
8
Let t be 95/10 + 3/(-2). Suppose k = 3*f - 9, -5*f + t + 5 = -k. Suppose f*c - 4*c + 38 = 0. Calculate the remainder when 52 is divided by c.
14
Let w(u) = -u**2 - 6*u + 27. What is the remainder when 871 is divided by w(-7)?
11
Let s(i) = -9*i**3 - i**2 + 4*i + 3. Let k be s(-2). Let t = k + -24. What is the remainder when t is divided by ((-20)/(-30))/(1/15)?
9
Suppose l + 3*l + 5*v - 131 = 0, -5*v = 25. What is the remainder when 20 is divided by l*(19/(-285) + 4/10)?
7
Suppose -110*g + 109*g + 24311 = i, -5 = g. Calculate the remainder when i is divided by 126.
124
Calculate the remainder when 25 is divided by (1 + 5)/(456/988).
12
What is the remainder when 4*(-12)/144 + (-26260)/(-12) is divided by 17?
12
Let t be (-2 - 1)/(1267/254 + -5). Suppose -10*g + t = -146. What is the remainder when 156 is divided by g?
36
Let m(l) = 36*l**2 - 2*l - 16. What is the remainder when m(-2) is divided by 36 - 0/(-2) - 2?
30
Let s(w) = 3*w**2 - 35*w + 80. Suppose -5 = 5*c, -a - 23 = 4*c - 194. Calculate the remainder when a is divided by s(9).
7
What is the remainder when 1256 is divided by 65 + -60 - (-16)/(-12)*-3?
5
Let b be (-1)/((0 - 3) + 24/9). Let h be (4 - (1 + b))/(3/(-1)). What is the remainder when -3 + -2 + h + 132 is divided by 32?
31
Let z = 232 + -228. Suppose -z*k = p - 95, -p + 12 + 35 = 2*k. What is the remainder when 215 is divided by k?
23
Calculate the remainder when 1157 is divided by 36 - ((-6)/135*-9 - 74/10).
39
Let p(g) = 48*g + 5. What is the remainder when p(7) is divided by (-7)/(1995/(-168) + 11)?
5
Suppose 0 = 4*q - 16, 5*y - 23 = -2*q. Suppose -z = y*j - 20, -2*j - z + 4*z = -6. Suppose 144 = -3*w + j*w. Calculate the remainder when w is divided by 17.
14
Let x be -4*3*1/(-3). Suppose -x*z + 3*m = 4*m - 112, -z = 2*m - 28. What is the remainder when 37 is divided by z?
9
Let a(k) = k**3 - 2*k**2 - 2*k - 6. Let l be a(3). Let f be l*(-4)/18 + (-428)/(-6). Calculate the remainder when (f/(-20))/((-2)/65) is divided by 24.
21
Suppose -18 = -3*d + 2*y + 14, 50 = 5*d - 5*y. What is the remainder when (-4)/(-18)*d*(-396)/(-6) is divided by 26?
20
Let q(p) = 18*p**3 + 137*p**2 - 65*p + 1. What is the remainder when 227 is divided by q(-8)?
8
Let g(x) = -x**3 - 3*x + 15. Let w be g(0). What is the remainder when 3422/w + 8/(-60) is divided by 35?
18
Let s(o) = -3698*o - 17864. Calculate the remainder when s(-5) is divided by 32.
18
Let d(w) = 67*w**2 - 43*w + 7. Calculate the remainder when d(-3) is divided by 240.
19
Suppose 0 = -3*p - 4*d + 102 - 42, 0 = -4*p - 2*d + 80. Let a be 1/(-4) - (-1826)/8. Suppose k = 5*k - a. Calculate the remainder when k is divided by p.
17
Let z = 121188 + -121125. Suppose r = s - 38, s + 3*r = 7 + 11. Calculate the remainder when z is divided by s.
30
Let g(x) = 110*x + 13434. What is the remainder when g(-110) is divided by 61?
53
Let a = 2443 - 1247. What is the remainder when a is divided by 63?
62
Suppose -4*d + 658 = 5*f + 1834, 4*f + 883 = -3*d. Let x = d - -490. Calculate the remainder when x is divided by 34.
31
Suppose 5*s - 5*n - 380 = 0, 5*s + 5*n - 158 - 222 = 0. Let z = 75 - s. Let u(c) = -29*c - 3. What is the remainder when 153 is divided by u(z)?
23
Suppose 74*j - 70*j = 4*z + 148, -5*z = -3*j + 121. What is the remainder when 175 is divided by j?
15
What is the remainder when 2670*(30/(-720))/((-1)/8) is divided by 29?
20
Let o(k) = -6*k - 20. Let d be o(-9). Suppose -4*s + d = -3*s. What is the remainder when s is divided by 18?
16
Suppose 0 = -g + 2*g - 4, 32 = -2*j + 5*g. Let q be (3/j + 0)*-10. Suppose q*w + 42 - 102 = 0. What is the remainder when 23 is divided by w?
11
Let p(s) = s**3 + 5*s**2 + 8*s + 59. Let i be p(-6). Let w = -35 + 62. What is the remainder when -2 + 0 - 2700/i is divided by w?
25
Let x(d) = -29*d - 73. Let y be x(-17). Suppose -4*a + 0 = -12. Suppose -y = -a*r - 3*g, 4*r - g - 568 = 3*g. Calculate the remainder when r is divided by 24.
21
Let h(z) = 4*z**2 - 46*z + 194. What is the remainder when h(6) is divided by (9/3 + -2)*13?
10
Let r(u) = u**3 + 45*u**2 - 27*u - 160. Let x be r(-44). Suppose -x*b = -2971*b + 14. What is the remainder when 10 is divided by b?
0
Suppose 0 = -464*t + 478*t - 13286. Calculate the remainder when t is divided by 136.
133
Suppose -5*x + 922 = -2*z, 31*z - 356 = -2*x + 35*z. Calculate the remainder when x is divided by 34.
16
Let d = 57 - 38. Let c be 11 - (-5)/(10/6). Let s(q) = q + 34. What is the remainder when s(c) is divided by d?
10
Let a(m) = 2*m**2 + 2*m - 14. Let o(d) = 9*d**2 + 14*d - 5. What is the remainder when a(-8) is divided by o(1)?
8
Let a = 4796 - 4772. Calculate the remainder when 317 is divided by a.
5
Suppose 0 = 9*d - 7*d - 312. Suppose -u + 24 = 4*i, 39*i = u + 37*i - 48. What is the remainder when d is divided by u?
36
Suppose -7*o + 922 = -758. Suppose -23*u = 2*k - 22*u - 125, 0 = -4*k - 4*u + o. What is the remainder when 258 is divided by k?
63
Suppose -58*a = -56*a - 22. Suppose -a*x - 320 = -21*x. Suppose 2*c = 3*t + 7*c - 456, -800 = -5*t + 5*c. Calculate the remainder when t is divided by x.
29
Let q(s) = 7*s**2 - 6*s + 3. Suppose 5*t + 15 = 0, -295*t = -3*z - 294*t + 219. Calculate the remainder when q(-5) is divided by z.
64
Suppose 0 = -t + 116 + 13. Suppose 5*h - 3*r + 190 = -230, 2*h - 2*r + 164 = 0. Let s = t + h. What is the remainder when s is divided by 12?
6
Let o(k) = -4*k - 8. Suppose 260*t - 982 - 686 = 932. Calculate the remainder when o(-6) is divided by t.
6
Let i = -114 + 123. What is the remainder when (21/i)/(-1 + (-46)/(-45)) is divided by 18?
15
Suppose -3*k = 2*w - 2 - 6, 3*k + 3*w - 12 = 0. Suppose 7*m = 13*m - 144. Let i = k + m. Calculate the remainder when 95 is divided by i.
23
Let w(f) = 60*f**2 + 20*f + 17. Calculate the remainder when w(-2) is divided by 44.
41
Suppose 5*g - s - 1171 = 0, -4*s - 9 + 5 = 0. Suppose 36*h - g = 34*h. Calculate the remainder when h is divided by 29 + 3/(-3) + 2.
27
Calculate the remainder when 1176 is divided by (4/6)/((4/(-14))/((-1926)/42)).
106
Suppose 40 - 145 = -5*l. Suppose 0 = l*g - 3454 - 1565. What is the remainder when g is divided by 48?
47
Let a(u) = 5*u**2 + u - 1. Let n be a(1). Suppose -7 = -n*p + 3. Suppose -p*w - 1 = m - 26, 4*w + 4*m - 48 = 0. Calculate the remainder when w is divided by 5.
3
What is the remainder when 1491 is divided by (-18)/4*((-14)/35 - 126/35)?
15
Suppose 10*v = v - 72. Let m be (-4)/v*542 - (-4 - -2). Suppose 5*w + 8 = -7, 3*p = 2*w + m. Calculate the remainder when p is divided by 24.
17
Let g be (-1)/(3*(-2 - (-70)/36)). Suppose k + 62 = 3*a, 8*k + 48 = 2*a + g*k. What is the remainder when 54 is divided by a?
16
Let a be ((189/14)/9)/(3/(-6)). Let k = -22 - -45. What is the remainder when 66 - (a + -4)/7 is divided by k?
21
Suppose -5*s = -5*i + 1987 + 1418, i = -3*s + 661. What is the remainder when i is divided by 36?
28
Let o(h) = -h**2 + 15*h - 18. Let f = 7 - 1. Let m(p) = p**2 - 3*p - 10. Let j be m(f). Calculate the remainder when o(j) is divided by 23.
15
Suppose 115 + 141 = 16*o. Suppose 0 = -p - 1, -f + 2*p + p + o = 0. Calculate the remainder 