ainder when f(103) is divided by 269.
8
Suppose 35*u + 144902 = 40*u + 2*h, 2*u + h = 57962. What is the remainder when u is divided by 23?
21
Suppose -c + 332 = -5*f, -2*c - 2*f + 354 = -298. Calculate the remainder when c is divided by 327.
0
Suppose 0*o = -o + 44. Suppose 77 = -14*z - 357. Let r = z + o. What is the remainder when r is divided by 3?
1
Suppose -83 = -7*o - 83. Suppose o = -34*b + 4*b + 5190. Suppose 0 = -9*i + 4*i + 125. Calculate the remainder when b is divided by i.
23
Suppose 4*l = -32, -4*l + 723 = 20*m - 15*m. What is the remainder when 3165 is divided by m?
145
Let a(f) be the first derivative of f**3/3 + 5*f**2/2 + 54*f + 43. What is the remainder when a(-10) is divided by 36?
32
Let u(x) = x - 1 + 6*x - 4*x. Let v = -285 - -288. Calculate the remainder when u(2) is divided by v.
2
Let k = 5 - 11. Suppose -3*y - 3*g + 9 = g, 0 = 4*y + 3*g - 5. What is the remainder when 34 is divided by (15/k + 1)/(y/16)?
10
Let u = 0 + 2. Suppose 15 = u*d - 3. Suppose 0 = -11*r - 5*c - 3, 24 = 88*r - 86*r - 4*c. What is the remainder when d is divided by r?
1
Let x(m) = -2*m**3 + 360*m**2 - 725*m**2 + 8 + 362*m**2 + 3 + 32*m + m**3. Calculate the remainder when 218 is divided by x(-8).
68
Suppose 7*z - 10 = 5*z. Let j(f) = z + 120*f + 41 - 142*f + f**2. What is the remainder when 7 is divided by j(20)?
1
Let d(n) = -25*n - 7. Let x = 71 - 66. Suppose 12*r + x + 7 = 0. What is the remainder when 69 is divided by d(r)?
15
Suppose -754 = 37*j - 63*j. What is the remainder when 14554 is divided by j?
25
Suppose 9826 = 162*v - 284852. What is the remainder when v is divided by 133?
90
What is the remainder when 1644 is divided by (-6 + -11)/((-5)/60*3)?
12
Let w be -26 - 3/1 - 0. Let p = w - -34. Suppose p*q - 8*q = -30. Calculate the remainder when 37 is divided by q.
7
Let h(d) = 7*d - 1. Let g be h(-1). Calculate the remainder when -43*g/(-6)*(-15)/10 is divided by 2/(-11) - (-244)/11.
20
Suppose -i = -5*p + 3, -i = 2*i - p - 19. Let n(v) = v**3 - 4*v**2 - 8*v + 18. Let r be n(i). Let u = 112 - r. Calculate the remainder when 4 is divided by u.
1
Suppose 121*j - 107*j = 0. Suppose -4*k + 3*z + 317 = j, -132 = -2*k + 5*z + 9. What is the remainder when k is divided by 33?
17
Suppose 290*j - 112*j = 6230. Let c = 28 - 10. What is the remainder when j is divided by c?
17
Let c be 15/(-1*21/140). Let z = c + 101. Calculate the remainder when 4 is divided by z.
0
Suppose -2*h = 4, 4*o + 2*h - 2289 = -833. Calculate the remainder when o is divided by 108.
41
Let m = 8618 + -8156. Calculate the remainder when 933 is divided by m.
9
Suppose -5*q = 5*t - 30, 0*q + q = -2*t + 11. Let f be 9 - 6 - (-2)/q. Suppose -x - 280 = -f*x. Calculate the remainder when x is divided by 15.
10
Let h(f) = 74*f - 261. Suppose m - 7 = -j, -j + 4 = -m + 5. Let r(p) = -5*p - 5. Calculate the remainder when h(m) is divided by r(-5).
15
Suppose -97 = 8*w - 329. Calculate the remainder when ((-13965)/9)/7*(-1 - 2) is divided by w.
27
Let f be 60 + (-1 - (-1 - -3)). Suppose 2*d - f = -m + 59, -5*m = -d - 635. Suppose -g - 2*g = -m. What is the remainder when g is divided by 11?
9
Let t = 285 + -219. Suppose t*q = 62*q + 84. What is the remainder when 124 is divided by q?
19
Let c be (-8)/4 + -1 + 4/(-1). Let m(a) = a**3 + 8*a**2 + 3*a - 5. Calculate the remainder when m(c) is divided by 5.
3
Let o(d) be the third derivative of d**5/30 - d**4/3 + 7*d**3/6 - 12*d**2 + d. Calculate the remainder when o(-6) is divided by 43.
41
Suppose -21*z + 191 = -10 - 198. Calculate the remainder when 105 is divided by z.
10
Suppose 219*a + 91 = 226*a. What is the remainder when 41 is divided by 5/(-1) - (-25 + a)?
6
Let a(x) = -85*x**3 - 421*x**2 + 3*x - 13. Calculate the remainder when 5181 is divided by a(-5).
69
Let u = 404 - 387. Suppose 3*z = -2*z + 50. Suppose 0 = -5*c + 10 + z. Calculate the remainder when u is divided by c.
1
Let p(y) = 2*y**3 - 3*y**2 - 36*y + 76. Calculate the remainder when 601 is divided by p(5).
33
Suppose -5*q = 5*y - 4495, q + 4479 = 6*q + y. What is the remainder when q is divided by 117?
76
Let h be 3 - (-1)/(-2 - -3). Suppose -2*w = 5*t - 90, 125 = h*t + t - 5*w. Calculate the remainder when 54 is divided by t.
14
Let d be (-3)/4 + 34/(-8) + 50. Suppose -d*g - 90 = -50*g. Calculate the remainder when 59 is divided by g.
5
Let s = 19 + 3. Suppose 23*x = 25*x + s. Let r(o) = o**3 + 11*o**2 + 14. What is the remainder when 52 is divided by r(x)?
10
Suppose 16633 + 13854 = 37*h - 20092. Calculate the remainder when h is divided by 153.
143
Suppose 114*g - 5347 - 6623 = 0. What is the remainder when 931 is divided by g?
91
Suppose -2*i - 111 = -2*j - 37, 3*i + 181 = 5*j. Calculate the remainder when 168 is divided by j.
28
Let i(h) be the first derivative of -h**3 + 35*h**2/2 - 12*h - 32. Let p be i(12). Calculate the remainder when 3/18 + (-1796)/p is divided by 38.
37
Suppose -3*x - u = -37, -2*u = -4*x + 58 - 22. Let d = 2210 - 1563. Calculate the remainder when d is divided by x.
9
Suppose 56*i = 78379 + 12061. Calculate the remainder when i is divided by 101.
100
Let n(s) = -6*s - 82. Let j be n(-20). Calculate the remainder when 267 is divided by (171/j)/((-1)/(-2)).
6
Let x = -11 - -19. Let o = -33007 - -33051. What is the remainder when o is divided by x?
4
Let a(p) = 28*p - 2. Calculate the remainder when 157 - -9 - (15/(-6) + 2)/(60/(-960)) is divided by a(2).
50
Let j(o) = 4*o - 5. Let d = 2 - -7. Let y be j(d). Suppose -2*c + 2*g + y = -c, -5*g - 180 = -5*c. Calculate the remainder when c is divided by 11.
8
Suppose -72 = -3*i - 0*i. What is the remainder when (-56)/12*(27/(-6) - 99/11) is divided by i?
15
Let d = 108 - 52. Suppose 24*y + 31*y = 15345. Calculate the remainder when y is divided by d.
55
Let j be 5/2 + (-899)/(-58). Suppose -1605 = j*h - 6249. Calculate the remainder when h is divided by 26.
24
Let h = 333 + -93. Let g = h + -132. What is the remainder when g is divided by 19?
13
Suppose -72*p + 212561 = -29071. What is the remainder when p is divided by 32?
28
Suppose 0 = -15*o + 13*o - 566. Let m = -249 - o. Calculate the remainder when m is divided by 7.
6
Suppose -134*t = -130*t + 240. Let m = t + 129. What is the remainder when m is divided by 14?
13
Let f = 46 + 28. Let w = 137 + f. Calculate the remainder when w is divided by 53.
52
Calculate the remainder when 87 is divided by (2 - -3) + (-216)/((-60)/5).
18
Suppose 48340 = 52*i - 10160. Calculate the remainder when i is divided by 71.
60
Let h = -3784 + 3787. Let v(k) = k**3 - 5*k**2 + k - 5. Let s be v(5). Let m = s + 4. What is the remainder when m is divided by h?
1
What is the remainder when (25/3 + -8)/(6/3924) is divided by 22?
20
Let g = -5616 - -5621. What is the remainder when 627 is divided by g?
2
Suppose 0 = 2226*w - 2173*w - 2332. Calculate the remainder when 643 is divided by w.
27
Suppose -5*g + 4*m = -24, 2*m + 2 - 10 = 0. Let l(r) = 2*r**2 - 42*r - 8. What is the remainder when l(22) is divided by (g + -10)*(-24)/2?
12
Suppose -4*m + 225 = -11. Let y = m + -28. Calculate the remainder when 60 is divided by y.
29
What is the remainder when 969 is divided by 96/112*(-7)/4*-24?
33
Let l(f) = -4*f - 1. Suppose -601 = -2*a - c, 0*a + a + 5*c = 323. Suppose -7*n = -122 - a. What is the remainder when n is divided by l(-2)?
4
Let f(t) = t**3 + 31*t**2 + 26*t - 81. Let l be 19/(-19) + 1/(1/(-29)). What is the remainder when 147 is divided by f(l)?
30
Let j(o) = 0*o**3 + 17 - 14*o**2 - 12*o**2 - 21*o**2 - 2*o**3 + 10*o - 34. What is the remainder when j(-24) is divided by 10?
9
Let j = -2507 - -3326. Calculate the remainder when j is divided by 117.
0
Let s be (339/9 - 3) + (-20)/30. Suppose 5*j - 316 = s. Calculate the remainder when 278 is divided by j.
68
Suppose 3*r - 405 = -3*h + 762, 5*r + 1538 = 4*h. Calculate the remainder when 35989 is divided by h.
385
Let n = 59 + 83. Suppose 241 = 5*p - l, 6*p - 9*p - 2*l + n = 0. Calculate the remainder when p is divided by 3.
0
Suppose -2*j - 38 - 98 = 0. Let b = 72 + j. Calculate the remainder when 4 is divided by b.
0
Suppose 396 = 16*o - 20*o. Let s(r) = -r**3 + 6*r**2 - 4*r + 4. Calculate the remainder when (9/(o/77))/((-2)/26) is divided by s(3).
15
Suppose h + 5*m + 444 = 0, 0*m + 3*m - 452 = h. Let i =