a, 0 = 3*p - a - 97. Calculate the remainder when 1255 is divided by p.
25
Suppose -15*f + 420 = -3*f. What is the remainder when f is divided by (-2 + -24)/(5 - 7)?
9
Suppose 0 = 5*f - 8*f + 276. Let t = -332 + 263. Let k = t + f. Calculate the remainder when 62 is divided by k.
16
Let c = 12942 - 12794. Calculate the remainder when c is divided by 27.
13
Let k(n) = 58*n + 207. What is the remainder when 3784 is divided by k(-3)?
22
Let g(r) = -r**3 - 8*r**2 - 9*r - 2. Let b = 30601 + -30536. Calculate the remainder when b is divided by g(-7).
5
Let v(n) = -2*n**3 + 45*n**2 - 26*n + 177. Calculate the remainder when 262 is divided by v(22).
84
Let s = 13507 + -13418. Calculate the remainder when 2485 is divided by s.
82
Suppose -2145*h + 186664 + 36416 = 0. Suppose -l = -11 - 10. Calculate the remainder when h is divided by l.
20
Suppose 141*m + 46157 = 242*m. What is the remainder when 1848 is divided by m?
20
What is the remainder when 814/10 - (-22)/(-55) is divided by 24*-7*(-4)/16?
39
Suppose -343 = 2*c - 131. Let o = c + 111. Calculate the remainder when 49 is divided by o.
4
Let x = -15667 + 15676. Calculate the remainder when 575 is divided by x.
8
Calculate the remainder when 1491 is divided by (-1015)/147 - -7 - (250808/(-168) + 2).
0
Let m = 225 + -154. Let k = m - 61. Calculate the remainder when (-114)/4*2/(-3) is divided by k.
9
Suppose 6 = -4*v + 2*i, 0 = -v - v - 2*i. Let j be (0 - v)/((-3)/27). Calculate the remainder when (24/4)/(j/(-96)) is divided by 23.
18
Suppose 2756 = -21*i + 127*i. Calculate the remainder when i is divided by ((-39)/12 - -2)*-12.
11
Suppose 144793 + 368841 = 342*c + 11236. What is the remainder when c is divided by 366?
5
Suppose 389 = 3*g - 226. Suppose 9*z + 169 = g. What is the remainder when 14 is divided by z?
2
Let s(t) = 32*t - 64. Let i be s(12). Suppose 140*n - i = 130*n. What is the remainder when n is divided by 0 + 2 - 7*-1?
5
Let q(w) = w**2 + w - 4. Let a be q(3). Let x(v) = -2*v**2 - 69*v + 116. Let k be x(-36). Calculate the remainder when 59 is divided by (30/a)/(2/k).
14
Let x = -3422 - -3593. Calculate the remainder when 656 is divided by x.
143
Suppose -225*p + 3860 = -9*p - 23*p. What is the remainder when 53 is divided by p?
13
Let d = 22 - 20. Suppose 5*l + 0*l + d*u = -15, -4*u + 9 = -3*l. What is the remainder when 47 is divided by (-12)/4 + l + 19?
8
Suppose 6*x - 114 = -0*x. Calculate the remainder when 1032/32*(8 + (-8 - -4)) is divided by x.
15
Let g(p) = 5*p**2 + 5*p - 4. Suppose -3*j + 23 = -5*f, 4*f = -j + 8 - 6. Calculate the remainder when g(-4) is divided by (((-36)/j)/18 + 1)*33.
12
What is the remainder when 233 is divided by ((-1457)/(-517) - 2/(-11)) + 45?
41
Suppose 45*c - 2123 - 6742 = 0. Calculate the remainder when c is divided by 59.
20
Suppose 2*g + 2954 = 2*f, -4*g + 8*g = -9*f + 13332. What is the remainder when f is divided by 210?
10
Let y = -10257 - -10340. Suppose 2*i - 10 = 3*i. Let j = 11 - i. What is the remainder when y is divided by j?
20
Suppose 0 = -4*g - 5*o + 1256, g + 3*o + 1224 = 5*g. Let i = g + -288. Calculate the remainder when i is divided by ((-2)/(-6) - 1)*-18.
9
Let b = 490 - 496. Let i(u) = u**3 + 2*u**2 - 29*u - 15. What is the remainder when 223 is divided by i(b)?
13
Let j(f) = f**2 + 22*f + 60. Let r be j(-18). Calculate the remainder when 3*(6 + -1 + (-4)/r) is divided by 5.
1
Let t = 247 + -228. Suppose k - 2*i - t = 0, 7*i - 8*i - 1 = 0. Calculate the remainder when 644 is divided by k.
15
Let p(h) = 9*h + 32. Let u be p(-2). Let w(d) = -4*d + 71. Calculate the remainder when 46 is divided by w(u).
1
Let b(w) = w**3 + 22*w**2 + 23*w + 41. Let g be b(-21). Let f(m) = -76*m + 8. What is the remainder when f(g) is divided by 48?
36
Suppose -9 + 21 = 4*h. Suppose 3*n - 202 = -5*r, 5*n + h*r = -4 + 314. Calculate the remainder when n is divided by 33.
26
Suppose 7*q + 1629 = 11*q + 5*q. What is the remainder when q is divided by 8?
5
Suppose 3*d + 39 - 183 = 0. Let r = 55 + d. Suppose 0 = -4*p + 186 - 46. Calculate the remainder when r is divided by p.
33
Let y(x) be the second derivative of -x**4/6 + 13*x**3/6 + 21*x**2/2 + 2*x - 2. Calculate the remainder when 94 is divided by y(7).
10
Let d = 23060 - 22557. What is the remainder when d is divided by 398?
105
Let p = 27 - 27. Suppose s + 2 = p, -4*n - 5*s - 7 = -29. Calculate the remainder when (-8)/(-14) + (-2644)/(-28) + 7 is divided by n.
6
Suppose 24 + 6 = 3*w. Suppose 0 = 2*m - w - 2. What is the remainder when 10/(-3)*1224/(-120) is divided by m?
4
Let h(y) = 10*y + 24. Let g = 37 - 34. Let r(j) = j**3 - j**2 - 3*j + 2. Calculate the remainder when r(g) is divided by h(-2).
3
Let x = 23823 - 22940. Calculate the remainder when x is divided by 395.
93
Let u = 5106 - 3747. Calculate the remainder when u is divided by 227.
224
Suppose -44*y + 391*y - 30264 = 35*y. What is the remainder when y is divided by 106/8 - 3/(-4)?
13
Let q(p) be the first derivative of p**3/3 - 3*p**2/2 - 4*p - 465. Let s be (-4 + 2)/((-4)/10). Calculate the remainder when 10 is divided by q(s).
4
Suppose -c - 249 = -443. Suppose -3*q = 6*q - 351. What is the remainder when c is divided by q?
38
Let q(t) = -3*t**2 + 8*t - 7. Let a = 43 + -48. Let y be q(a). Let f = -115 - y. Calculate the remainder when 10 is divided by f.
3
Suppose -1378 = -109*n + 694 - 328. Calculate the remainder when 3339 is divided by n.
11
Suppose -705 = 5*p - 80. Let a = p + 118. Let b(d) = -d**3 - 7*d**2 - 7*d - 8. Calculate the remainder when 367 is divided by b(a).
39
Suppose 15*x = -35*x - 46*x + 3168. What is the remainder when 256 is divided by x?
25
Let f(q) = -19*q + 1186. Calculate the remainder when f(5) is divided by 7.
6
Let s be 2/4*(60 - 20/5). Suppose -v - 4*y = -43, -y = -v - 3*y + 45. Let p = v + s. What is the remainder when p is divided by 38?
37
Let o(i) = 247*i**3 + i**2 - 3*i + 2. Let v be o(1). Suppose 2*u - 2*z = 98, -4*z - v = -5*u - 0*z. What is the remainder when 112 is divided by u?
10
Suppose -4*o + p = -13 - 35, 4*p + 5 = -o. What is the remainder when 1/(-3)*(-117 + 0) is divided by o?
6
Let l(q) = q**3 - 54*q**2 + 62*q + 16. What is the remainder when l(54) is divided by 34?
32
Let v(x) = -196*x - 544. What is the remainder when 346 is divided by v(-3)?
38
Suppose 0 = 3*w - 4*o - 30 - 32, -4*o = -2*w + 48. Let r = 68 - 91. Let u = 61 + r. What is the remainder when u is divided by w?
10
Suppose -g + 5 - 10 = 0. Let q be 3 - (-35)/(0 - g). Suppose y - 23 = -q. What is the remainder when 35 is divided by y?
9
Let n = -12638 - -18628. Calculate the remainder when n is divided by 14.
12
Let p = 160 - 163. What is the remainder when 173 is divided by 1 - p - (-4)/1?
5
Suppose t + 5*b + 21869 = 4*t, 4*t = 5*b + 29157. Calculate the remainder when t is divided by 9.
7
Suppose 5*r = 4*p - 245, 13*r = -2*p + 12*r + 119. What is the remainder when 383 is divided by p?
23
Suppose 368*v = 371*v - 6. Let o(s) = 10*s**2 + 9*s - 15. Calculate the remainder when o(v) is divided by 8.
3
Suppose 0 = -50*v + 19214 - 4514. What is the remainder when ((-490)/v)/(1/(-96)) is divided by 24?
16
Let j(d) = 0*d**2 - 101 + 33*d + d**2 - 7*d + 13*d + d**2. Calculate the remainder when j(-31) is divided by 41.
38
Suppose 0 = -2*o - 4*s + 404, o - 4*s - 100 - 126 = 0. What is the remainder when o is divided by 3?
0
Let b = 3309 - 2837. Calculate the remainder when b is divided by 451.
21
Suppose 7*n - 4*n - 1581 = 0. Suppose -5*g - n - 623 = 0. Calculate the remainder when 17 is divided by 4/(-20) + g/(-25).
8
Suppose 4*y + 246 = -570. Let r = -150 - y. Calculate the remainder when r is divided by 31.
23
Let c = -17343 - -18486. Calculate the remainder when c is divided by 37.
33
Suppose -3*k = -85 + 19. Let y(l) = -5*l + 115. Suppose -s - 3*m = s - 28, -2*s + 5*m - 4 = 0. What is the remainder when s is divided by y(k)?
3
Let p be (161/14)/((-1)/(-18)). Suppose 7 = -8*h + p. Calculate the remainder when 63 is divided by h.
13
What is the remainder when 3/((-12)/(-3254)) + 6/(-12) is divided by 19?
15
Suppose -14 - 6 = -2*g. Suppose 17*t = 23*t - 96. Suppose t*w - 12*w = 116. Calculate the remainder when w is divided by g.
9
Let p(o) = 11*o - 8. Let t = 3940 + -3930. What is the remainder when p(15) is divided by t?
7
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