 What is the remainder when k is divided by 33?
31
Let u = -251 + 277. Calculate the remainder when (2670/14)/5 - (-12)/14 is divided by u.
13
Let i(v) = 4*v**2 - 17*v - 16. Let a be i(11). Suppose -3*l + 82 = -a. What is the remainder when l is divided by 41?
39
Suppose d + 4*m - 3*m = 12, 4*d - m - 43 = 0. Suppose -5*r + 1228 = 4*l, -3928*l + 7 = -3927*l. Calculate the remainder when r is divided by d.
9
Let y = 160 + -158. Suppose y*g + 5 = -3*h - 2*h, -2*g + 25 = -h. What is the remainder when 18 + -1 + (-1 - -2) is divided by g?
8
Suppose 2*b - 826 = 16*s - 18*s, 4*s + 393 = b. Calculate the remainder when 1658 is divided by b.
22
Let m = 18230 - 18084. Calculate the remainder when 886 is divided by m.
10
Let q be -5 - (-6 + 9 + -12). Let s be (189/(-15))/(2/(-10)). Suppose -s - 37 = -q*i. What is the remainder when i is divided by 13?
12
Let f(d) = -d**3 - 9*d**2 - 9*d + 14. Let q(n) = -n**2 - 8*n. Let h be q(-8). Let r be (23 + -22)*(h/(-1) - 8). What is the remainder when f(r) is divided by 6?
4
Let z = -3473 + 3601. What is the remainder when z is divided by 11?
7
Let y = 76 + -234. Let v = y + 184. What is the remainder when v is divided by 9?
8
Let o be ((-2888)/(-190))/(12/(-15) + 1). Let l = 30 - -10. Let y = o - l. What is the remainder when y is divided by 14?
8
Suppose -u + 2*m = -9, 82*u + 2*m + 69 = 87*u. Let r(d) = -3*d**3 - 2*d**2 + 4*d - 5. Calculate the remainder when r(-3) is divided by u.
1
Suppose -245 = -4*l - 37. Let p = -28 + 34. Suppose -p*m + l = -134. Calculate the remainder when m is divided by 11.
9
Suppose -79*y + 78*y + 2*t = -18, 0 = -4*t - 4. Calculate the remainder when (0 - 1)/(15/(-3585)) is divided by y.
15
Let w(s) = 13*s + 283. What is the remainder when 438 is divided by w(-6)?
28
Let s(h) = 9*h - 61. Let n be s(-7). Let l = -79 - n. What is the remainder when l is divided by 27?
18
Let h(o) = -o**2 - 65*o - 44. What is the remainder when h(-52) is divided by 7?
2
Let n(o) = 2*o**2 + 13*o - 19. Suppose -2*u + 6 = p, -5*u + p + 15 = -p. Let j be u*20/18*-3. What is the remainder when n(j) is divided by 13?
12
Let q(l) = -l**3 + 11*l**2 + 10. Let b(d) = -d + 2*d + 63 - 47. Let v be b(-5). What is the remainder when 26 is divided by q(v)?
6
Suppose 0 = n - 30 - 14. Suppose 17*q - 11*q = 4*i - 892, -4*i + 896 = -7*q. Calculate the remainder when i is divided by n.
41
Suppose -6*k = -0*k - 2*k - 556. Calculate the remainder when 416 is divided by k.
138
Suppose -7*u - 5*d = -3*u - 5, -4*d = -u + 17. Suppose v - 14 = 3*m - 41, m - 9 = u*v. Let l = 14 + m. Calculate the remainder when l is divided by 13.
10
What is the remainder when (222/(-148))/(-1*4 + (-7599)/(-1902)) is divided by 259?
58
Calculate the remainder when 105 is divided by -76 + 86 + 21 + -2.
18
Suppose -2*p - 2610 = -20*p. Let g = 32 - 28. Suppose -14 = -t - 5*u + 18, g*u = -2*t + 70. Calculate the remainder when p is divided by t.
34
Let b be -1 + 6 + (1 - (-12)/(-3)). Suppose -20 = -b*g + x, 3*g - 68 = -2*g - 2*x. Calculate the remainder when g is divided by 8.
4
Let i = 45 - 41. Suppose i*c - 4*m - 33 = 43, 0 = -3*m - 15. Calculate the remainder when 39 is divided by c.
11
Let t = 78 + -36. Let j = -16454 - -17166. What is the remainder when j is divided by t?
40
Let j = -18218 - -18317. Calculate the remainder when 1392 is divided by j.
6
Calculate the remainder when 270/360*((-1)/(-1) + 87) is divided by 23.
20
Suppose -3*v = -5*i - 334, 5*v - 4*i - 570 = i. What is the remainder when 599 is divided by v?
9
Suppose 338 = 2371*s - 2345*s. Calculate the remainder when 1 - -5*(-4)/(-1) is divided by s.
8
Let b = -7722 + 7991. Calculate the remainder when b is divided by 30.
29
Let g(k) = -732*k - 720. What is the remainder when 306 is divided by g(-1)?
6
Suppose -3*z - 2*u + 5 - 1 = 0, z - 2*u - 4 = 0. Suppose 236 + 102 = z*b. Suppose -5*d - 34 = -b. What is the remainder when d is divided by 16?
11
Let u(h) = -h**3 + 10*h**2 - 8*h + 6. Let v(s) = s**2 - 16. Let o be v(5). Calculate the remainder when 87 is divided by u(o).
12
Suppose 2*i = 3*y - 0*i - 1339, -2*i + 441 = y. What is the remainder when y is divided by 29?
10
Calculate the remainder when 235410/209 + 4/(-11) is divided by 113.
109
Let o = -445 - -485. Suppose -10*c + 9*c = 3*t - 10, 0 = 3*t - 5*c - o. What is the remainder when 73 is divided by t?
3
Let v(j) = j**3 - 21*j**2 - 15*j + 382. What is the remainder when (-10)/(-5) + -1 - (-2 - 130) is divided by v(21)?
66
Suppose -v + 65 = -9*l + 4*l, 4*v - 192 = 3*l. Suppose 2*d = 5*o - 6*o + 41, -2*d + 3*o + v = 0. What is the remainder when 271 is divided by d?
19
What is the remainder when 19469 is divided by ((-74907)/36)/(-7) + (-72)/32?
294
Let z be 9/(-9) - 34*1. Let d = z - -46. Calculate the remainder when ((-56)/70)/(2/(-50)) is divided by d.
9
Let x = -229 - -321. Suppose x*c - 66 = 89*c. Calculate the remainder when 196 is divided by c.
20
Let g(y) = -11*y - 135. Let s be (9/(-6))/(1/(-2)). Suppose -s*l - 4 = -2*a, 2*a - 3*l = -a + 12. Calculate the remainder when g(-15) is divided by a.
6
Let p be (90/4)/((-132)/(-176)). Suppose q + 6 = 22*t - 18*t, -5*q + p = -5*t. What is the remainder when 35 is divided by q?
5
Let x be ((-123)/15 + 8)*-20. Suppose -x*l = -42*b + 40*b - 2, -2*l + 31 = 5*b. Calculate the remainder when 154 is divided by b.
4
Let s = 13849 - 13160. Calculate the remainder when s is divided by 32.
17
Let a = -1353 + 2070. Let k = -16 - -64. What is the remainder when a is divided by k?
45
Let r(c) = -c**3 + 22*c**2 + 3*c - 32. Let d(j) = j**2 - j + 22. Let b be d(0). Let l be r(b). Let w = l + 0. Calculate the remainder when w is divided by 12.
10
Calculate the remainder when 616 is divided by 4/(-40) - (-36)/(-40) - (1 - 31).
7
Let r = 19691 + -17334. What is the remainder when r is divided by 36?
17
Let y(k) = 2*k + 18. Let i(a) = -69*a - 2. Let m be 3 + 0 + -18 + 14. What is the remainder when i(m) is divided by y(0)?
13
Let p(s) = 4*s + 113. Let r be p(-20). Suppose -34*f - 2*w = -r*f - 390, 1205 = 3*f - w. What is the remainder when f is divided by 13?
10
Suppose c + d = -d + 11, -3*d = -4*c + 11. Let h = -44 + 85. Suppose c*q - u - 32 = 32, -2*u = 3*q - h. What is the remainder when 38 is divided by q?
12
Let m = 656 + -626. Let v(o) = o**2 - o - 22. Let s be v(0). Let p = m + s. Calculate the remainder when p is divided by 8.
0
What is the remainder when 229 is divided by (387/36)/((-9)/(-180))?
14
Let h = 713 - 1157. Let u = 456 + h. What is the remainder when 18 is divided by u?
6
Let s(l) = -3*l**2 + 53*l + 7. Let b be s(19). Let t = b + 81. What is the remainder when 27 is divided by t?
3
Let u be (-2)/((2/(-21))/2). Suppose g + u = 7*g. Calculate the remainder when (-11136)/(-168) - (1 - 5/g) is divided by 17.
15
Let n(g) = 3*g + 35. Suppose -2*i + 51 = -6*i - 3*c, -4*i = c + 41. Let m be n(i). Suppose -358 + 110 = -m*l. What is the remainder when l is divided by 21?
10
Let d(q) = -q**2 + 55*q - 86. Let f(a) = -13*a + 2. What is the remainder when f(-12) is divided by d(53)?
18
Let g(d) = 2*d**2 - 6*d + 392. Calculate the remainder when g(35) is divided by 17.
14
Let q(m) = -51*m + 7938. What is the remainder when q(143) is divided by 19?
18
Suppose 0 = -5*j + 2*m + 358, j - 86 = -m + 5*m. Suppose -4*t = -3*g + 5, -14*g + 9 = -11*g. What is the remainder when j is divided by 8/(-2) + t + 3 + 18?
16
Suppose -2*g + 5*s - 4 = 0, -5*s = 4*g - 3*s - 16. Let v be -1*(g - 4)*52. Suppose -v = -8*h + 4*h. Calculate the remainder when 50 is divided by h.
11
Suppose y - 1254 - 606 = 0. Calculate the remainder when ((-15)/(-2))/(-3*(-10)/y) is divided by 26.
23
Let u = 227 + -87. Let d = -118 + u. Suppose -2*i - 4*j = -3*j - 29, 5*j = 25. Calculate the remainder when d is divided by i.
10
Suppose 4216*k = 4206*k + 4250. What is the remainder when k is divided by 107?
104
Suppose 24 = o - 5*i, -4*i + 72 = 5*o - 5*i. Let l(y) be the third derivative of y**4/12 + y**3/2 + 20*y**2. Calculate the remainder when o is divided by l(0).
2
Suppose 5*l - 85 = -15. Calculate the remainder when 1406/l - (-36)/63 - 3 is divided by 9.
8
Suppose -68 = -4*b + w - 2*w, -5*b = 5*w - 100. Let a = 69 + 7. Calculate the remainder when a is divided by b.
12
Let n = -2109 - -2226. Calculate the remainder when 380 is d