5. Let o(h) = -h**3 - 15*h**2 + 16*h + 97. What is the remainder when 193 is divided by o(x)?
96
Let b(u) = -5*u**2 + 2*u**3 + 1 - 19*u - 12*u**3 + 32*u - 17*u. Let g be b(-2). Let j = 98 - g. Calculate the remainder when j is divided by 10.
9
Suppose 1600 = 5*p + 5*z, 1323 = 4*p - z + 18. Suppose -75 = 30*t - 1305. What is the remainder when p is divided by t?
38
Let z = -3852 - -3951. What is the remainder when z is divided by 51?
48
Let h = 558 - 558. Suppose h = -6*l + 52 + 38. Calculate the remainder when 209 is divided by l.
14
Let x(q) = q**2 + 7*q + 17. Calculate the remainder when x(-11) is divided by 41 + (4/10)/((-2)/10).
22
Let s = -5909 + 6495. Calculate the remainder when s is divided by 98.
96
Let d be 1/((-5)/(-4))*(-100)/(-40). What is the remainder when 99 is divided by (-7 - -42)/((-4)/4 + d)?
29
Let g(d) = 170*d - 505. Let y be 18/(4/(32/3)). Suppose 0 = -n + 5*n - y. Calculate the remainder when n is divided by g(3).
2
Calculate the remainder when -2 - -5 - ((-162)/2 - -11) is divided by ((-30)/60)/(1/(-12)).
1
Let h be -10 - (0 + (1 - 2)). Suppose 177*a - 2560 = 49*a. Calculate the remainder when ((-58)/3)/(3/h) is divided by a.
18
Let r = 8545 - 8534. Let q = -2 - -2. Let u(c) = c**2 + c + 3. Calculate the remainder when r is divided by u(q).
2
Suppose -9*s = s + 240. Let f(h) = -12*h - 271. Let x = 72 - 7. What is the remainder when x is divided by f(s)?
14
Let d(q) = -34*q + 136. What is the remainder when d(-5) is divided by 73?
14
Suppose -5*o - 11*z + 3 = -13*z, 2*z = 3*o - 1. Suppose -3*v - o = -40. What is the remainder when 39 is divided by v?
0
Suppose 0 = 14*p - 8*p - 12. Suppose p*n + 3*n + 87 = -3*l, -5*l = 3*n + 65. Calculate the remainder when (-5)/(n/9) - -37 is divided by 12.
4
Let w(j) = -j + 62. Let k(r) = -6*r**2 + 45*r + 1. Let v be k(7). Calculate the remainder when -3 - -6 - 3 - -2*59 is divided by w(v).
38
Let q be (-2)/(-4) + 44/(-8) + -665. Let d = -605 - q. What is the remainder when d is divided by (-8)/(-2)*(-11)/(-2)?
21
Suppose 0 = 5*o - 3*l - 1226, 5*o + 4 = -2*l + 1270. Calculate the remainder when o is divided by 9.
7
Suppose 0 = 11*x - 10*x - 625. Suppose -865 - x = -5*d. Calculate the remainder when d is divided by 30.
28
What is the remainder when 503 is divided by (-252)/15*((-3)/(-9))/(10/(-75))?
41
Suppose -h = 4*g - 3001, -760 = -2*g + 3*h + 751. Calculate the remainder when g is divided by 51.
37
Let f(m) = -m**3 - 24*m**2 - 36*m + 43. Let i be f(-22). Let y = -130 - i. Calculate the remainder when 29 is divided by y.
2
Let o(z) = z**3 + 6*z**2 + 3*z + 3. Let p be o(-5). Suppose -48 - p = -4*i + 5*l, i + 2*l = 25. Let r = i - -37. What is the remainder when r is divided by 15?
11
Let b be (4 - -2)/(-3) + 17*3. Let y = b - 16. Suppose 0 = 4*w - 20, 0 = -i + 5*w - y + 11. Calculate the remainder when 7 is divided by i.
1
Suppose 1560*t - 1563*t + 2*q + 46 = 0, -5*t + 110 = 5*q. Calculate the remainder when 212 is divided by t.
14
Suppose -1171 + 118 + 9 = -29*y. What is the remainder when 158 is divided by y?
14
What is the remainder when 10*(47008/40)/26 is divided by 302?
150
Let h = -400 + 408. Let g(o) = -o**2 + 7*o - 4. What is the remainder when g(6) is divided by h/(-10)*40/(-16)?
0
Suppose -8*b + 653 = 5*z, -2*z + 18 + 248 = 2*b. What is the remainder when z is divided by 47?
43
Suppose -v + 189 = 2*v. Let c(k) = -23*k + 12. Let g be c(0). Calculate the remainder when v is divided by 15/10*128/g.
15
Suppose 8*q - 390 = 266. Suppose 64 = 5*s + 2*i, -5*s = 3*i - 7*i - q. Calculate the remainder when 67 is divided by s.
11
Suppose 0*t = 3*k + t - 5, 4*t = -2*k. Suppose 2 = -k*h + 3*h. Suppose 7 = z - h. Calculate the remainder when 22 is divided by z.
4
Let o = 7031 + -7012. Let y(f) = -f**3 - 4*f**2 - 2*f - 2. Calculate the remainder when o is divided by y(-4).
1
Let t(l) = 2*l**3 + 158*l**2 - 14*l - 404. Calculate the remainder when t(-79) is divided by 65.
52
Suppose -77*d - 76*d + 14841 = 0. Calculate the remainder when 799 is divided by d.
23
Let k(t) = -t**3 - t**2 + t + 4. Let v = 161 + -163. Calculate the remainder when 28 is divided by k(v).
4
Let m = -243 + 553. Let s = -294 + m. Calculate the remainder when s is divided by 10.
6
Let f(d) = -d**3 + 8*d**2 + 7. Suppose 51*g = 11826 + 1179. Let m = 310 - g. What is the remainder when m is divided by f(8)?
6
Suppose 3*d = -2*t + 18, 2*d = -t + 3*t + 2. Suppose -3 = q + t. What is the remainder when 35 is divided by (-20)/q*(10 - 7)?
5
Let a = -53 - -57. Suppose -4*k = -r - 111, -4*k - 2*r = -a*r - 114. Let y = k - 3. Calculate the remainder when 95 is divided by y.
23
Suppose -3*c + 16413 = 3*m, -10*c + 12*c - 7*m = 10960. Calculate the remainder when c is divided by 37.
34
Let d = 13425 - 13404. What is the remainder when 2619 is divided by d?
15
Let h(p) = 6*p**2 + 105*p + 689. Calculate the remainder when 709 is divided by h(-8).
10
Suppose 517 = 5*c + 4*s - 3753, 0 = 4*c - 4*s - 3416. What is the remainder when c is divided by 19?
18
Calculate the remainder when -3 - ((-425)/15)/(9/324*2) is divided by 24.
3
Let g = 32062 - 28540. What is the remainder when g is divided by 28?
22
Let p = -397 + 395. Calculate the remainder when 561 is divided by (-26 - -24) + 118 + p.
105
Suppose 1 = -r + 47. Let c(p) = -p**3 - 72*p**2 - 461*p - 336. What is the remainder when c(-65) is divided by r?
8
Let p be 1 + (1463 - -2)*12/60. Let w = -261 + p. Calculate the remainder when w is divided by 28.
5
Let y(z) = 148*z**2 + 2958*z + 1. Calculate the remainder when y(-20) is divided by (-410)/(-18) + 4/18.
18
Suppose -x - 53 = -2*m, 3*m - 7*m + 3*x = -103. What is the remainder when (37 + -35)*5 - 8*(-10 - 2) is divided by m?
22
Let q be 1150/2 - (-3 + 5 + -3). Let d = -346 + q. Let w = d - 152. What is the remainder when w is divided by 20?
18
Let f(u) = u**3 + 19*u**2 - 22*u - 27. Suppose -p - 34*d + 622 = -31*d, 0 = 2*p + 2*d - 1244. What is the remainder when p is divided by f(-20)?
11
Let z(d) = 2*d**2 + 7*d - 67. Let t be z(-8). Suppose 5*h = t*b - 1410, -5*b + 1730 - 320 = -4*h. What is the remainder when b is divided by 29?
21
Suppose 0*k + 624 = 4*k. Suppose -42 = 3*y - k. Suppose 0 = -5*g + 4*f + 969, -9*g + 402 = -7*g - 4*f. What is the remainder when g is divided by y?
37
Let r = -1546 - -1560. What is the remainder when 1944 is divided by r?
12
Suppose -4*o - 4*r = -16, 10*r - 7*r = o - 4. Suppose -19 = -3*f - 2*d - 3, -o*d + 22 = f. What is the remainder when 18 is divided by f?
0
Suppose 38*x - 17*x - 798 = 0. What is the remainder when 2810 is divided by x?
36
Let c(a) = 34 - 5392*a + 24 + 5393*a. What is the remainder when c(-29) is divided by 11?
7
Suppose 13*o - 31 = 21. Suppose o*g + 4*g = -440. Let w = 88 + g. Calculate the remainder when w is divided by 21.
12
Suppose 5*k - 3*k = 116. Suppose 3*s + 2512 = -m + 2596, -3*s = 5*m - 60. What is the remainder when k is divided by s?
28
Let o = 298 - 268. Suppose -293 = -2*h - 13. What is the remainder when h is divided by o?
20
Suppose 11 + 16 = 3*r. Suppose -r*y + 81 = -8*y. What is the remainder when y is divided by 12?
9
Suppose 386 = 3*w + 2*u - 1257, 536 = w - u. What is the remainder when w is divided by 89?
9
Let f be 48/112 - 75/(-21). Suppose i - 313 = -5*y, -f*y - 4*i + 251 = -3*i. What is the remainder when 206 is divided by y?
20
Suppose 3*k + 22 - 67 = 0. Suppose -5*v + 243 = 43. Calculate the remainder when (v/25)/(3/k) is divided by 4.
0
Calculate the remainder when 66/10*704/66 - (-12)/20 is divided by 12.
11
Suppose -310 = -3*t + 2*q, -t + 75 = -q + 6*q. Suppose f - t = -3*f. Calculate the remainder when (-9)/(-7 - -4) - (-46 + 1) is divided by f.
23
Let w(m) = -30*m**3 + 24*m**2 + 38*m - 69. Calculate the remainder when 1725 is divided by w(-3).
39
Let y be -1*(-3 - (-9)/3). Suppose y = -31*p + 32*p. Suppose p = -5*f - 2*f + 329. What is the remainder when f is divided by 6?
5
Let m(y) = -2*y**2 - 21*y + 27. Let w be m(-11). Suppose -2*z + 30 = -98. What is the remainder when z is divided by (-4 + w/5)*(-110)/4?
20
Let b(u) = 24*u**3 - 3*u**2 + 6*u - 7. Let r be b(2). Suppose 0*o + o + q - 61 = 0, -4*q + r = 3*o. What is the remainder when o is divided by 38?
21
Let p be ((-9)/6)/(30/(-1400)). Suppose -3*c - 3*t = 2*c - 64, -5*c = 5*t - p. Suppos