d by w(8)?
78
Suppose 34*k = -8*k - 58*k + 123000. Calculate the remainder when k is divided by 67.
24
Suppose -758*v + 767*v - 1161 = 0. What is the remainder when v is divided by 58?
13
Let o(i) be the first derivative of -i**2/2 + 26*i - 19. Calculate the remainder when 15 is divided by o(15).
4
Let d(t) be the third derivative of -7*t**4/24 - 113*t**3/2 + 6*t**2 - 11. Calculate the remainder when d(-51) is divided by 9.
0
Let d = 12 + -4. What is the remainder when 27 - 4 - 3*(2 + -1) is divided by d?
4
Suppose 4*x + 3 = -w, 193*w - 5*x = 198*w - 45. Suppose 0 = -4*h - 0*h - 5*d + 384, -5*h + 5*d + 525 = 0. Calculate the remainder when h is divided by w.
10
Let j = -613 - -634. Let i(f) = -f**3 + 11*f**2 - 7*f + 7. What is the remainder when i(8) is divided by j?
17
Let n(v) = v**2 - 14*v - 7. Let z be n(16). Suppose z*h - 23*h = 8. Calculate the remainder when 21 is divided by h.
1
Let m be 12/(-2) + 2*4. Suppose -3*j = -4*r - 354, 0*j = m*j + 2*r - 250. What is the remainder when j is divided by 66?
56
Suppose -46*i + 808 - 658 = 840. Let l(n) be the third derivative of n**5/30 + 5*n**4/4 + 10*n**3/3 + n**2. Calculate the remainder when 78 is divided by l(i).
18
Suppose -434 = -4*i + a, -5*i + 2*i - a = -336. What is the remainder when 297 is divided by i?
77
Let v = 10032 + -9364. What is the remainder when 1344 is divided by v?
8
Let k = -257 + 207. Calculate the remainder when 78 - ((-30)/k + (-12)/(-5)) is divided by 19.
18
Let g(n) = -41*n**2 - 48*n**2 - 100 - 17*n + 90*n**2. What is the remainder when 848 is divided by g(22)?
8
Let y(n) = -7*n**2 + 18 - 269*n - n**3 + 4 - 4*n**2 + 260*n. Calculate the remainder when 119 is divided by y(-10).
11
What is the remainder when (-846)/(-1974) - 12888/(-14) is divided by 7?
4
Suppose 14 = l - b, -2*b + 28 = 5*l - 28. Let k(x) = x**3 + 8*x**2 - 10*x + 2. What is the remainder when k(-8) is divided by l?
10
Let b be 7*169*29/(-29). Let a = b + 1738. Calculate the remainder when a is divided by 18.
15
Let g = -413 + 411. Calculate the remainder when -22 + 18 + (g - (-200 + 2)) is divided by 34.
22
Let o(w) = 5*w - w**3 - 21 - 7*w**2 - 21 + 59 - 13. What is the remainder when 81 is divided by o(-8)?
25
Let q(h) = -h**2 + 25*h + 14. Let s be q(25). Suppose s*r = r + 117. Calculate the remainder when 116 is divided by r.
8
Suppose -9*t - 25 = -4*t, -5*q + 5830 = t. Suppose -3*n = 2*g - 608, 364 = 5*g + 2*n - q. What is the remainder when g is divided by 44?
43
Suppose 0 = -h + 10 + 5. Suppose -14*l + h = -11*l. Suppose l*j + 48 = 7*j. What is the remainder when j is divided by 14?
10
Let d(q) = -q**3 - q**2 + 34*q - 7. What is the remainder when 119 is divided by d(-7)?
21
Suppose -i + 4*i + 82 = c, -2*c + 164 = i. What is the remainder when c is divided by 28?
26
Let p = 4621 - 4526. Calculate the remainder when 3131 is divided by p.
91
Let l = 6051 - 5952. Calculate the remainder when 204 is divided by l.
6
Let o(n) = -n**3 + 3*n**2 - 7*n - 4. Let k be o(4). Let m = -15 - k. Suppose -80 = -37*v + m*v. Calculate the remainder when 31 is divided by v.
11
Let g be (-4)/(-10) - 26/(-10). Suppose 79 = 5*n + g*s, s = -2*s - 6. Suppose -408 + 2300 = 245*q - 10358. What is the remainder when q is divided by n?
16
Let d(f) = f**2 + 41*f - 231. What is the remainder when d(22) is divided by 166?
159
Suppose -4*m = -2 - 2. Suppose 606*g - 609*g - 79 = -4*z, z = -4*g + 34. Calculate the remainder when 7/(m*(-2)/(-30)) is divided by z.
17
Let x be (4 + -5 - 88)*3. What is the remainder when x/(-6) + 3/(-6) + 1 is divided by 17?
11
Let p(x) = 15*x + 315. Let o be p(-21). Suppose o = -4*d + n + 540, -106 = -2*d - 3*n + 150. What is the remainder when d is divided by 46?
42
Let z be ((-510)/4)/((-3)/(-8)). Let a = 376 + z. What is the remainder when a is divided by 11?
3
Let f(q) = -1914*q - 1797. Calculate the remainder when 853 is divided by f(-1).
34
Suppose -t - 33 + 14 = -3*n, -4*n = -4*t - 36. What is the remainder when 4588/93*(-3)/t is divided by 13?
11
Let z = 331 - 346. Let f(m) = -7*m - 24. What is the remainder when 173 is divided by f(z)?
11
Let z = 2067 + -1237. Let n = z - 376. Suppose 6 = -2*p, 0 = 14*x - 12*x - 2*p - n. What is the remainder when x is divided by 25?
24
Let q(i) = 10*i + 1. Let c(y) = 5*y + 37. Let n be c(-7). Let h be (1 - n - (-11 + 9))*3. What is the remainder when 89 is divided by q(h)?
27
Suppose z - q - 19 = 4, -4*z + 86 = 2*q. What is the remainder when 745 is divided by z?
19
Let u(a) = 4*a**3 - 88*a**2 - 5*a + 122. Calculate the remainder when 67 is divided by u(22).
7
Let n = 17 + -16. Let f be n*5/(-5)*45. What is the remainder when 86 is divided by (-16)/20*f/2?
14
Let i be (-32)/(-5) - 9/(-15). Let v be -11*((-3 - (1 + 0)) + 3). Suppose -108 = i*b - v*b. Calculate the remainder when 53 is divided by b.
26
Let g(z) = 360*z + 70973. Calculate the remainder when g(-197) is divided by 15/(-2)*(-4)/6.
3
Let n(g) = 6*g**2 + 17*g + 217. Calculate the remainder when n(-10) is divided by 25.
22
Suppose 3*n + 2 = 14, -4*j + 20 = 4*n. Suppose 9*d - j = 17. Suppose 412 = 3*p - 5*c, p = -d*c + 150 - 9. What is the remainder when p is divided by 28?
27
Let a(u) = 4*u**2 - 70*u + 38. Let c be a(17). Calculate the remainder when -11*(6/c)/((-1)/2) is divided by 13.
7
Suppose 4*a - 50 = -2*q, 4*q = -a + 32 + 61. Suppose 150 - 13 = p + 3*s, -2*s - 274 = -2*p. Calculate the remainder when p is divided by q.
22
Let j be ((-243)/(-729))/((-2)/228). Let s(m) = -m**3 - 4*m**2 + 5*m + 9. Let h be s(-6). Let o = j + h. What is the remainder when 77 is divided by o?
12
Suppose k = -4*k + 40. Calculate the remainder when 285 is divided by (k - (-272)/28) + (-2)/(-7).
15
Suppose -4*q - 2*l + 426 = 0, 59*q + l + 515 = 64*q. Calculate the remainder when 384 is divided by q.
72
Suppose 150*g - 6896 = 15304. What is the remainder when g is divided by 144?
4
Let n(f) = 54*f**2 - 17*f + 4. Calculate the remainder when n(-2) is divided by 92.
70
Let j(y) = -y + 7. What is the remainder when 1 + 15/(-5) + 3 + 38 is divided by j(-4)?
6
Let r(b) = 3*b**2 - 15*b + 7. What is the remainder when r(6) is divided by 2184/140 - (-2)/5?
9
Suppose -3*q - 4*y = -226, -5*y = q - 32 - 25. Suppose 10*c + 5*z - 59 = 9*c, 2*c = -z + q. What is the remainder when 110 is divided by c?
32
Let x = -27283 + 27330. What is the remainder when 252 is divided by x?
17
Let k = 260 - 260. Suppose 8*c = 10*c + n - 45, c + 3*n - 30 = k. Calculate the remainder when 312 is divided by c.
18
Suppose -46*g + 1610 = -0*g. What is the remainder when (-3018)/22*-1 - 4/22 is divided by g?
32
Suppose 15*s + 5 = 10*s. Let h(l) = -18*l - 7. Calculate the remainder when 242/6 - (-2)/3 is divided by h(s).
8
Let o(m) = -m**2 + 21*m + 16. Let v = -13 - 7. Let h be (-6 - 54/(-8))/((-1)/v). Calculate the remainder when o(h) is divided by 27.
25
Suppose -1891*c + 1894*c - 48 = -3*n, 0 = 2*n - 4*c - 2. Calculate the remainder when 393 is divided by n.
8
Calculate the remainder when 1 - (-42 - (3 - 11)) is divided by 252/(-24)*(-16)/6.
7
Suppose -5*b + 27 + 4 = -4*u, 2*b = -5*u - 14. Suppose -2*s + 55 = -2*a - 73, 0 = b*s - 5*a - 202. What is the remainder when 529 is divided by s?
57
Let v(d) = d**3 - 3*d**2 - d + 21. Calculate the remainder when 180 is divided by v(4).
15
Suppose 0*a + 214 = -2*a. Suppose -5*i = -27*i + 3*i - 1596. Let l = i - a. Calculate the remainder when 65 is divided by l.
19
Let q = -5 - -11. Let x be (-19)/(-57) - 1065/9. Let t = -108 - x. What is the remainder when t is divided by q?
4
What is the remainder when 2401 is divided by ((-105)/196*-7)/(50/360)?
25
Let y(w) = 2*w**2 + 50*w + 51. Let o be y(-24). Suppose o*c - 3*a + a = 299, -5*a + 414 = 4*c. What is the remainder when c is divided by 35?
31
Suppose 0 = 12*m - 2*m + 49*m - 3717. What is the remainder when 195 is divided by m?
6
Suppose 4*m = -0*m + 2*s, 5*s - 24 = -2*m. What is the remainder when 103 is divided by (-29 + 0)*2*(-1)/m?
16
Suppose -d - 215 = c - 236, -c = -4*d - 31. Calculate the remainder when 3516 is divided by c.
20
Let h(f) = 27*f**2 + 12*f + 3. Let g be h(9). Suppose -674 = 29*c - g. Calculate the remainder when 185 is divided by c.
17
Let t = 3497 + -3373. Calculate the remainder when t is divided by 118.
6
Let y(v) = -v**2 + 41*v - 228