t p(a) = -a**3 + 47*a**2 - 49*a + 155. Calculate the remainder when 117 is divided by p(46).
15
Suppose 0 = 4*o + 3*x - 1504, -10*x = o - 5*x - 359. What is the remainder when o is divided by 76?
75
Suppose -9*n + 451 = -593. What is the remainder when n is divided by 9?
8
Let w(a) be the second derivative of a**4/12 - 7*a**3/6 + 4*a**2 + 13*a. Calculate the remainder when w(10) is divided by 8.
6
Let t(k) = k**3 - 5*k**2 - 2*k + 16. Let u be t(5). Let j(f) = f**3 - 6*f**2 + 4*f + 4. What is the remainder when j(u) is divided by 10?
8
Let k = -227 + 274. Calculate the remainder when k is divided by 26.
21
Let a(p) = -13*p + 1. Let l(o) = -7*o + 1. Let j(y) = -6*a(y) + 11*l(y). Let s be 3 + (8 - 3) + -3. What is the remainder when 29 is divided by j(s)?
9
Let o = 313 - 239. Calculate the remainder when o is divided by 5.
4
Let w be (-6 - -3)*16/(-6). Let u = w + -2. Let q = -1585 - -1594. What is the remainder when q is divided by u?
3
Suppose 3*z - 24 = z. Calculate the remainder when ((-3)/21 - (-1788)/21) + -4 is divided by z.
9
Let n be (-2 - 0) + -2 + 129. Suppose 0*u - n = 2*i - 3*u, -i - 75 = -4*u. Let w = i - -102. What is the remainder when w is divided by 12?
11
Suppose -28*l + 75 = -13*l. Calculate the remainder when 49 is divided by l.
4
Let o = -12 + 21. Let d be (6/(-5))/(o/90). What is the remainder when 117 is divided by (-286)/(-12) - 2/d?
21
Let q(u) = -u**3 + 5*u**2 + 8*u - 5. Suppose -17*b = -628 - 545. What is the remainder when b is divided by q(5)?
34
Let t(y) = y**3 + 17*y**2 + 6*y - 22. Suppose -11 = -4*i + 5*i + 5*s, 0 = -4*i - 5*s - 59. Calculate the remainder when t(i) is divided by 47.
44
Let s(g) = -2*g**3 - 8*g**2 + g - 2. Let i(q) = q**3 + 8*q**2 - 2*q + 1. Let h(m) = 3*i(m) + 2*s(m). Calculate the remainder when h(5) is divided by 14.
12
Suppose -6*r = -4*r - 10. What is the remainder when ((-392)/21)/((-2)/3) is divided by r?
3
Let w be 12/2 - (31 - 28). Let o(a) = -a**3 + 2*a**2 + 4*a + 3. What is the remainder when 16 is divided by o(w)?
4
Let q(a) = -a**3 + a**2 + 34. Let h be 12/54 + 604/36. Suppose 152 + 1 = h*s. Calculate the remainder when q(0) is divided by s.
7
Suppose 0 = -8*m + 4033 + 2007. Calculate the remainder when m is divided by 18.
17
Let k(q) = -q**3 - 28*q**2 - 90*q - 65. Calculate the remainder when k(-25) is divided by 105.
100
Let i(r) = 7*r + 158. Suppose 4*q + 0*q = 40. Calculate the remainder when i(-17) is divided by q.
9
Let w(l) = 6*l - 7. Let x(d) = -5*d + 6. Let q(s) = 3*w(s) + 4*x(s). Let t be q(-6). Let z = t + 6. What is the remainder when 62 is divided by z?
20
Let l(t) = -29*t**3 - t - 1. Let z be l(-1). Let a = 87 - z. Let s = 93 - 63. Calculate the remainder when a is divided by s.
28
Let r = 669 - 464. Let z = r + 5. Suppose 168 = 4*w - 2*h, -3*h - z = -5*w + h. Calculate the remainder when w is divided by 22.
20
Let j = -1348 - -1388. Calculate the remainder when 188 is divided by j.
28
Suppose 256 = 33*a - 17*a. What is the remainder when a is divided by 2?
0
Let h(w) = -2*w**3 - 4*w**2 + 4*w - 5. Let p = -114 + 224. Suppose -2*n - 3*n + p = 0. What is the remainder when h(-4) is divided by n?
21
Suppose -3*c - 4*x = -139, 7*x - 3*x - 188 = -4*c. What is the remainder when 179 is divided by c?
32
Let l(v) = v**3 + 2*v**2 - 11*v - 2. What is the remainder when 229 is divided by l(3)?
9
Let c(v) = 17*v - 460. What is the remainder when 344 is divided by c(32)?
8
Calculate the remainder when (-1725)/46*12*4/(-20) is divided by 23.
21
Let q = -236 + 274. What is the remainder when 72 is divided by q?
34
Let o = -102 + 618. Calculate the remainder when o is divided by 26.
22
Suppose -v = v. Suppose 5*q = 5*m - 10, 4*q + v = m + 1. What is the remainder when 75 is divided by 37 - (q + 2)/(-3)?
37
Let b = -32 + 60. What is the remainder when 92 is divided by b?
8
Suppose -9*m + 3150 = -567. What is the remainder when m is divided by 23?
22
Let b be (-2)/(-2) + -3 - -5. Let z(r) = 3*r - 7. Let m be z(b). What is the remainder when 108 is divided by (1480/100)/(m/5)?
34
Suppose -2*s - 8 = 0, 5*d - 94 = 3*d + 4*s. Suppose 4*f - 355 = 3*q, -5*f + 3*q - 6*q = -464. Let x = f - 81. Calculate the remainder when d is divided by x.
9
Let j = -254 + 274. Calculate the remainder when 72 is divided by j.
12
Let t(i) = 4*i**2 + 5*i - 6. Let a be t(4). Let n = a - -20. What is the remainder when n is divided by ((-15)/12)/(3/(-60))?
23
Suppose 336 = -222*l + 234*l. Calculate the remainder when l is divided by 28.
0
Let l(i) be the second derivative of 17*i**4/4 + i**3/2 - 3*i**2/2 - 10*i. What is the remainder when l(1) is divided by 20?
11
Let o = 36 - 29. Suppose -4*q = -3*u + o, 3*u = -0*u + 3*q + 9. Suppose h + 2*b - u*b = 27, -3*h = 5*b - 11. What is the remainder when h is divided by 5?
2
Let d(v) = -12*v - 246. Calculate the remainder when 225 is divided by d(-21).
3
Suppose 4*a + 16 = 28. Calculate the remainder when 16 is divided by a.
1
Let m(h) be the third derivative of 5*h**4/24 + h**3/3 - 16*h**2. Let p = 3 - -2. What is the remainder when m(3) is divided by p?
2
Let h = -188 + 196. What is the remainder when 39 is divided by h?
7
Suppose 0 = 2*y + 5*r - 17, r - 12 = -y - 2. Let g = 28 - y. Let i = g - 7. Calculate the remainder when 39 is divided by i.
9
Suppose 3*v - 44 = -2*h, 2*h + 10*v - 24 = 12*v. What is the remainder when 173 is divided by h?
13
Suppose 15 = 37*p - 32*p. Calculate the remainder when 22 is divided by p.
1
Let a(x) = -28 - 8*x + 28*x - 10*x + 2*x**2. Calculate the remainder when 128 is divided by a(4).
40
Let l = -128 + 249. Suppose 606 - 173 = 27*n - 431. Calculate the remainder when l is divided by n.
25
Let r(v) = v**3 - 3*v**2 + 2*v + 1. Let x be r(4). Let y = -2 + x. Suppose 3*b - 13 - y = 0. Calculate the remainder when 23 is divided by b.
11
Calculate the remainder when (215*(-4)/(-7))/(102/357) is divided by 54.
52
Suppose r - 9 = -3*n + 4*n, -3*r + n = -23. Suppose r = -7*s - 0. What is the remainder when 53 is divided by s/(-1)*(15 - 1)?
11
Calculate the remainder when 59 + -12*(-2)/4 is divided by 11.
10
Let i be 6/(-15) + (-8)/(-20). Suppose i = -3*h - 9, 2*r = 4*r - h - 23. Calculate the remainder when 28 is divided by r.
8
Let t(l) = l**3 - l**2 + 8*l + 6. Calculate the remainder when 239 is divided by t(3).
47
Let w(c) be the second derivative of c**3/6 + 23*c**2/2 - 13*c. What is the remainder when 100 is divided by w(11)?
32
Let a = -411 - -435. What is the remainder when 183 is divided by a?
15
Let m = -9 + 12. Suppose 4*s + 3*g - 33 = 0, 2*s = -m*s - 5*g + 35. Suppose 6*k = 530 - 110. Calculate the remainder when k is divided by s.
10
Suppose 39*b = 38*b + 40. Calculate the remainder when 398 is divided by b.
38
Let q = -782 + 799. Let x(f) = -66*f. What is the remainder when x(-1) is divided by q?
15
Let n(h) be the second derivative of h**4/2 + 5*h**3/6 + 7*h**2/2 - 33*h. Calculate the remainder when n(-5) is divided by 27.
24
Suppose -c + 4*o + 1029 = 0, 2*c - 2097 = 2*o - 7*o. Calculate the remainder when c is divided by 12.
9
Let k be 10/45 + 4642/9. Suppose n + 420 = -3*n - 2*j, 0 = -5*n + 2*j - k. What is the remainder when (-78)/8*n/39 is divided by 9?
8
Suppose 2*r + 167 = -2*z + 5*r, -2*z - 4*r - 132 = 0. Suppose 43 = 3*i + 10. Calculate the remainder when (7/28)/((-1)/z) is divided by i.
8
What is the remainder when -16 + 19 + 309/1 is divided by 38?
8
Suppose 4*w + 3*z = 84, 3*z + 2 = w - 4. What is the remainder when 46 is divided by w?
10
Suppose 3*s - 102 = -5*o, -o + 0*o - 2*s = -26. What is the remainder when 86 is divided by o?
14
Let d(v) = v**2 - 14*v - 81. Calculate the remainder when 139 is divided by d(19).
13
Let u(b) = -b**3 - 3*b**2 + b - 6. Suppose -12 = 7*g - 4*g. Calculate the remainder when 16 is divided by u(g).
4
Suppose 4*a + 37 = w, 17*a = 2*w + 13*a - 66. Calculate the remainder when 47 is divided by w.
18
Suppose 8 = 4*t - 8. Calculate the remainder when 55 is divided by (116/10)/1 - t/(-10).
7
Let a(t) = t**3 + 19*t**2 + 2*t + 3. Let z be a(-19). Let i = -27 - z. Let w = i - -1. What is the remainder when 24 is divided by w?
6
Let f(c) = c**3 + 7*c**2 + c - 10. Let o be f(-8). What is the remainder when (o/(-3))/(1/3) is divided by 14?
12
Suppose 8*r - 4*g = 484, -r - 4*g + g + 71 = 0. Calculate