0*j**2 + 13*j - 370. Calculate the remainder when 451 is divided by k(12).
7
What is the remainder when 605 is divided by (98 - (-40 + 19)) + -26?
47
Suppose 0 = o - 16 - 7. Suppose -l + o = -0*l. Suppose 0 = -5*j - 19 + 59. Calculate the remainder when l is divided by j.
7
Let l = -31 - -53. Suppose -3*y - 21 = -3*j, 4*j - 31 = -3*y + 18. Calculate the remainder when l is divided by ((-105)/j - -4)*-2.
9
Let s(g) = g + 6. Let i be s(-9). Let q = 7 - i. What is the remainder when 16 is divided by q?
6
Let i(m) = 2*m**2 - 115*m + 1294. Calculate the remainder when 175 is divided by i(45).
6
Let c = -56 + 74. Let s = 41 - c. What is the remainder when (-26)/(-12) + -2 + (-1028)/(-24) is divided by s?
20
Calculate the remainder when ((-32)/16 + 1)/(-2 + 18219/9111) is divided by 80.
77
Suppose 0 = -2*q + m + 39, -2*q = -6*m + m - 43. Let j be (-11)/13 - 22/143. Let o(h) = -6*h + 5. What is the remainder when q is divided by o(j)?
8
Let j(p) = 2*p**2 - 11*p. Suppose 0 = 5*g - 19 - 11. Let n be j(g). Calculate the remainder when n/15 + 186/10 is divided by 10.
9
Suppose -9*t - 204687 = -66*t. What is the remainder when t is divided by 29?
24
Suppose 5*o - 443 = 18*b - 20*b, 584 = 3*b - 4*o. Calculate the remainder when 394 is divided by b.
190
Let o(l) = l**2 + 12*l - 6. Let f be o(-13). Suppose 5*n + f = 32. What is the remainder when 25 + n/(-3 + -2) is divided by 7?
3
Suppose 126*t = 58*t + 45*t + 151179. What is the remainder when t is divided by 22?
17
Suppose -5*u + q = -50, 317*q - 20 = 321*q. Let h(n) = 2*n**3 + 25*n**2 + 10*n - 12. What is the remainder when h(-12) is divided by u?
3
Let a be (3 + (-20)/(-24)*-3)*16. Suppose 18 = 2*w + a*h, 3*h + 18 = 4*w + h. What is the remainder when w is divided by 2 + (-2)/(-2) + 1?
1
Let c be (-84)/(((-6)/(-24))/1). Suppose -3*t - 5*p - 4 = -14, -3*p - 12 = 0. What is the remainder when 48/c - 576/(-14) is divided by t?
1
Let j(o) = -7*o - 5. Let b = 16 - -8. Let k be (0 + -6)*-3*(-4)/b. Calculate the remainder when j(k) is divided by 6.
4
Let m = 11172 + -11147. What is the remainder when 4073 is divided by m?
23
Let u(t) = 176*t - 327. Let h be u(7). Let r = h - 342. Calculate the remainder when r is divided by 94.
93
Let n(l) = 84*l**2 - 76*l + 4. Calculate the remainder when n(3) is divided by 86.
16
Suppose 8*f + 2847 + 73 = 0. Let s = f + 798. What is the remainder when s is divided by 29?
27
Let p be ((-15)/50*-5)/((-3)/14). Let d = 71 + p. Suppose -5*r = -53 - 2. What is the remainder when d is divided by r?
9
Suppose 4*t + z - 2 = 0, z = -5*t + 2 + 1. Calculate the remainder when (-84)/15*45/(-6) is divided by t/(-2) + (-62)/(-4).
12
Let f(u) be the second derivative of -u**4/12 - 29*u**3/6 + 105*u**2/2 - 101*u. What is the remainder when f(-31) is divided by 10?
3
Suppose 12 - 36 = -8*r. Suppose -6 = -4*j + 5*o, -4*j = -j + r*o - 18. What is the remainder when 123 is divided by j?
3
Let f = 17684 - 16861. What is the remainder when 2482 is divided by f?
13
Suppose 3*m - 2*j - 126 = 0, 62*m - 4*j = 54*m + 324. What is the remainder when 6036 is divided by m?
24
Calculate the remainder when 529 is divided by (4/(-5))/(-1) + 200512/4160.
39
Suppose 22724 - 2348 = 18*o. What is the remainder when o is divided by 71?
67
Suppose 5*f - 156 = -f. Let k = -53 + 90. What is the remainder when k is divided by f?
11
Let n = 32 + -51. Let h = n + 19. Suppose -3*x + 5*l + 88 = h, 8*x - 3*x + l = 128. What is the remainder when 48 is divided by x?
22
Let u = -92 - -196. Let h = -2294 - -2322. What is the remainder when u is divided by h?
20
Let k be (-9)/((-12)/(-18)*(-18)/(-8)). Let f be (-1691)/(-2) + k/4 + 2. Suppose f = 25*r - 19*r. Calculate the remainder when r is divided by 24.
21
Calculate the remainder when 23938 is divided by (-3930)/(-4716) - 565/(-6).
93
Let t(m) be the third derivative of 11*m**5/30 - m**4/12 + m**3/6 - 3*m**2 + 10. What is the remainder when t(1) is divided by 15?
6
Let d(u) = -15*u**2 - 2*u - 2. Let n be d(4). Let w = n + 287. Suppose 62 = 5*k - 0*r - r, -r + 3 = 0. What is the remainder when w is divided by k?
11
Let n be 10/((-40)/33) - 1/(-4). Calculate the remainder when 33/((-20)/n + -1) is divided by (16/(-10))/(2/(-5)).
2
Let u(q) = -q**3 + 10*q**2 + 27*q + 34. Let h = 457 + -416. Calculate the remainder when u(12) is divided by h.
29
Let n = -24 + 30. Suppose 0 = -f - 4*q - n, -2*f - 3*f + 4*q = 6. Calculate the remainder when (432/(-40))/(f/5) is divided by 15.
12
Let m(n) be the third derivative of n**4/8 + n**3/6 - 14*n**2. Let u be m(-3). What is the remainder when 10 is divided by u/(-20)*-2*-5?
2
What is the remainder when 3632 is divided by (-40 - 1748/(-38))*(1 - 34/(-12))?
21
Suppose 4*r - 255 = 5*j, 4*r - 231 = 4*j - 7*j. Suppose -5*k = -4*u + 175, 5*u - 2*k + 4*k = 260. What is the remainder when r is divided by u?
10
Let k(g) be the first derivative of 8*g**4 - g**2/2 - 1. Suppose 1446*w + 2329*w = 807*w + 365064. What is the remainder when w is divided by k(1)?
30
Suppose -5*x + 1113 = -4*v - 108, 5*x - 1263 = -3*v. What is the remainder when x is divided by 206?
43
Suppose -6 = -4*b + 2*o, 0 = -2*o - 0*o + 2. Suppose -3*y = 3*c - 0*y - 315, b*c - 2*y = 206. What is the remainder when (c/4 - -1) + -1 + -1 is divided by 13?
12
Let u(g) = g**2 - 3*g - 143. What is the remainder when u(15) is divided by 4/6*(18 + -3)?
7
Let s(f) = f**3 + 10*f**2 - 24*f + 4. Let u be s(-12). Suppose d = -u*h - 15, -3*d - 1 = -2*h - 26. What is the remainder when 43 is divided by d?
3
Suppose -h + 2*i = -22, 4*h - i - 100 + 26 = 0. Suppose 3*z = 30 - 123. Let b = 58 - z. Calculate the remainder when b is divided by h.
17
Let b be (8/12)/((-4)/(-6)) + -27. Let a(s) = -7*s - 92. What is the remainder when a(b) is divided by 46?
44
Suppose 45*q - 9*q - 1620 = 0. What is the remainder when 356 is divided by q?
41
Let q = 114 + -114. Suppose q = -3*b + 317 + 91. What is the remainder when b is divided by 23?
21
Suppose -2*u = -2*v - 1676, -2*v - 3*v = 5*u + 4220. Let t = -484 - v. Calculate the remainder when t is divided by 36.
33
Let i(y) = -8*y**2 - 378*y + 44. What is the remainder when 407 is divided by i(-47)?
131
Suppose -3*a + 204 = 4*z, 339*a - 2*z - 88 = 338*a. What is the remainder when 103 is divided by a?
27
Suppose -27*q = 816 - 37482. What is the remainder when q is divided by 85?
83
Let k = -229 - -258. Suppose 23*p - k*p = -36. Suppose -d + 9 = -h, -6*d + 5*d + 7 = -2*h. What is the remainder when d is divided by p?
5
Suppose -2*r + 1861 = 61. Let g be ((-4)/(-3))/(5/r). Suppose 4*a = 2*o - 6*o + g, 4*a - 5*o - 276 = 0. What is the remainder when a is divided by 17?
13
Suppose -9*u - 23*u + u + 3069 = 0. Calculate the remainder when 392 is divided by u.
95
Suppose 0 = 7*z + 9*z - 1168. Suppose -216 = -3*x - 39. Let w = -34 + x. What is the remainder when z is divided by w?
23
Let o(y) = 33 - 5 + y + 24 + 0. Calculate the remainder when o(-2) is divided by 31.
19
Let x(f) = 3*f**2 - 6*f. Let d(u) = -19264*u - 76652. What is the remainder when d(-4) is divided by x(5)?
44
Suppose 33*j + 3*p = 34*j - 29, 4*j + 2*p - 158 = 0. What is the remainder when 263 is divided by j?
35
Suppose 3*u + u = 68. Let p = -2316 - -2355. What is the remainder when p is divided by u/2 + 3/(-2)?
4
Suppose 506 - 1136 = -70*f. What is the remainder when 1680 is divided by f?
6
Let u(z) = z**2 + 17*z + 33. Suppose -3 = -2*o - 11. Calculate the remainder when ((-88)/o)/((-4)/2 - -4) is divided by u(-15).
2
Suppose 46 = -5*a + 21. What is the remainder when 134 is divided by (-2 + 8 + a)*-1 - -15?
8
Let t = 1054 - 773. What is the remainder when t is divided by 74?
59
Calculate the remainder when 113 is divided by ((-1500)/360)/((-2)/12).
13
Let a(m) = m**3 - 7*m**2 + 17*m. Suppose -4*p + 5 = 5*f, 2*f + 3*p = -7 + 2. Suppose -u + 272 = u. Calculate the remainder when u is divided by a(f).
31
Let w(v) = -v**2 + 10*v + 308. Calculate the remainder when 1686 is divided by w(-11).
69
Let p = 3262 + -3226. Calculate the remainder when 250 is divided by p.
34
Suppose -22*m + 4*m + 54 = 0. Suppose 62 = 5*a + 3*u - 2*u, 5*u + 14 = 2*a. What is the remainder when (-163)/(-2) + (6/4)/m is divided by a?
10
Let h be 30 - (3 + 2)/(12 - 13). Suppose -3306 = 16*o - h*o. What is the remainder when o is