 = i**2 + i + 8. Let s(c) be the first derivative of c**3/3 - 13*c**2/2 + 17*c - 14. Let u be s(12). Calculate the remainder when j(u) is divided by 14.
10
Suppose 0 = -2*b + 7 + 91. What is the remainder when b is divided by 75*((-4)/12)/(-1)?
24
Let d be (-8)/12 - (-1996)/6. Suppose d = 3*t + 2*z, t - 327 = -2*t + 3*z. Suppose y - t = -4*y. Calculate the remainder when 41 is divided by y.
19
Let p = -3 + 7. Suppose 9*v = p*v. Suppose 5*r = -4*y + 161, -4*y + 74 + v = 2*r. What is the remainder when r is divided by 15?
14
Suppose 2671 = 25*p + 1121. Suppose -y + 7 = -3. Calculate the remainder when p is divided by y.
2
Suppose -4*q - 158 = -2*q + 4*m, 4*q = 3*m - 360. Calculate the remainder when q*(-7 - (-18)/3) is divided by 11.
10
Suppose f + 3*f = 12. Suppose 2*q = 3*r - 9, 0*r - 3*q + 3 = r. Suppose 5*w - f*z = 405, -z - 2*z = -r*w + 249. Calculate the remainder when w is divided by 21.
15
Let q(m) = -m**3 + 16*m**2 + 716*m - 59. What is the remainder when 2448 is divided by q(-21)?
4
Suppose w = 5*w. Suppose -2*q + 8*q - 174 = w. Suppose 8*r = 9*r - q. Calculate the remainder when 143 is divided by r.
27
Let p be (530 + 7 - 4) + -8. Suppose 2*u - 265 = p. What is the remainder when u is divided by 22?
21
Let m(n) = 224*n**2 + 28*n - 8. Calculate the remainder when m(2) is divided by 243.
215
What is the remainder when (110/4)/(16/288) is divided by 125?
120
Let n(j) = -j**2 + 25*j. Let x be n(25). Let s = 117 - 115. Suppose x = -4*z - c + 75, -s*z + 5*c - 11 = -32. Calculate the remainder when 49 is divided by z.
13
What is the remainder when 1622 is divided by (17 + 224/(-10))/((-1)/60)?
2
Let y(h) = -185*h + 947. What is the remainder when 107 is divided by y(5)?
19
Suppose -4*v + 24 = -v. Suppose v*l = 3*l + 30. Let q(g) = g**3 - 3*g**2 + 13*g - 86. What is the remainder when q(5) is divided by l?
5
Let t(q) = q**2 - 15*q - 355. Suppose 3*o - 138 = o. Calculate the remainder when o is divided by t(28).
6
Suppose 4*i = -3*b + 163, 5*b - 28 = -i + 34. Calculate the remainder when 254 is divided by i.
32
Suppose -11*l + 1264 + 1717 = 0. Let r = -123 + l. Calculate the remainder when r is divided by 25.
23
Suppose 0 = 4*z - 2*n - 0*n - 146, -140 = -4*z + 4*n. Suppose j = -5, -108*b - 275 = -113*b - j. Let v = b - z. What is the remainder when v is divided by 7?
4
Suppose -s = 3*x - 394, -2*x - 76 = -3*s - 346. What is the remainder when 908 is divided by x?
116
Let t(m) = m**3 - 6*m**2 + 6*m + 6. Let j be t(5). Suppose -13*k + j*k + 28 = 0. Calculate the remainder when ((-26)/(-8))/((-11)/(-176)) is divided by k.
10
Suppose 21*a - 316 = 188. Calculate the remainder when 1967 is divided by a.
23
Calculate the remainder when -5 + (11 + -8)/1 + 1481 is divided by 14.
9
Let o(s) = -2*s**3 - 18*s**2 - 29*s - 3. Calculate the remainder when o(-8) is divided by 25.
1
Let v = 270 - 253. Calculate the remainder when 1372 is divided by v.
12
Let k be ((-6)/10)/((-3)/585). Let j = 237 - k. Suppose 0 = 4*f + 2*b - j, 3*b = -5*f + b + 149. Calculate the remainder when f is divided by 15.
14
Suppose 8*z - 20125 = -15*z. Let b = -511 + z. Calculate the remainder when b is divided by 74.
68
Let o(d) = -d + 13. Let n be o(8). Suppose -n*k + 0*h + 315 = h, -k + 63 = -2*h. Calculate the remainder when 74 is divided by (k/6)/(2/4).
11
Let w = 223 - 108. What is the remainder when (7038/w)/(2/5) is divided by 13?
10
Let a be 522/12 + (-3)/(-6). Suppose a*w - 68*w + 168 = 0. What is the remainder when 16 is divided by w?
2
Calculate the remainder when -149*5*(-11)/55 is divided by 13.
6
What is the remainder when 248 is divided by (20/4)/((-110)/(-15) - (5 + 2))?
8
Let d be (15/(-6))/((-10)/24). Suppose 0 = 6*t - 159 + 69. Calculate the remainder when (-3)/(-2)*284/d is divided by t.
11
Suppose -d - 12 = -3*d. Calculate the remainder when (158/6 + 2)*(422127/445)/93 is divided by d.
1
Let i = -220 + 242. Suppose -35 - 88 = -3*x. What is the remainder when x is divided by i?
19
Let m(s) = s**2 + 3*s - 3. Suppose 0 = 3*k + 2*o - 10, k + 7*o - 25 = 2*o. What is the remainder when m(-6) is divided by (20/(-4) - -14) + (k - -2)?
4
Suppose 6*z = -g + 665, 2*g + 4*z = 9*z + 1194. What is the remainder when g is divided by 28?
1
Suppose 33*y - 3150 = -9*y. Suppose p + 3*w - 8 = 11, 0 = 3*p - 5*w - 29. Calculate the remainder when y is divided by p.
10
Let u(c) = c**3 + 27*c**2 - 10*c - 16. Let m be u(-27). Let q = m + -243. What is the remainder when 52 is divided by q?
8
Suppose 5*i = -h + 308, -3*h + 359 + 489 = -4*i. Calculate the remainder when h is divided by 86.
30
Let k(j) = -3*j - 25. Suppose 4*y + 0*y + 44 = 0. Calculate the remainder when 11 is divided by k(y).
3
Let g(w) = w**2 - 27*w + 57. Suppose 0 = -3*f + 2*f + 5, 0 = -4*n - 3*f - 37. What is the remainder when g(27) is divided by -3*((-3 - -6) + n)?
27
Let p(q) = -q**2 + 24*q + 27. Suppose -5*s + 270 = -0*s. Suppose 0 = -a + t + s, -4*t + 122 + 121 = 5*a. Calculate the remainder when a is divided by p(24).
24
What is the remainder when 2429 is divided by (972/702)/((-2)/(-39))?
26
Suppose -x = -2*x. Suppose 4*m + 10 - 110 = x. Calculate the remainder when 47 is divided by m.
22
Let r(n) = n**3 - 8*n**2 - 2*n - 16. Suppose -140 = -10*v + 30. What is the remainder when r(9) is divided by v?
13
Let w(s) = s + 12. Suppose -5*d - 28 = 2. Let r(j) = -j**2 - 23*j + 4. Calculate the remainder when r(d) is divided by w(0).
10
Calculate the remainder when 1673 is divided by (14/56)/((-6)/(-21) + (-970)/3640).
9
Let r be 2/(-6) + 33/(-9). Let k(o) = -4*o + 7. Let a(x) = -x**2 - 25*x - 3. What is the remainder when a(-23) is divided by k(r)?
20
Suppose -25 - 26 = -17*b. Suppose b*w - 2244 = -2*w + 3*j, 456 = w - 3*j. Calculate the remainder when w is divided by 14.
13
Suppose 0 = -4*a + 5*g + 6856, 6*g + 6856 = 4*a + 5*g. Calculate the remainder when a is divided by 33.
31
Let l(i) = i**3 - 3*i**2 + i + 1. Let d be l(1). Suppose 32*g - 37*g + 25 = d. Suppose -9*w + 22 = -g. Calculate the remainder when 33 is divided by w.
0
Suppose -x - 156 = -5*n, -2*x = 4*n - 7*x - 108. Let i = -81 - -78. Calculate the remainder when 17 is divided by i/(-2)*n/12.
1
Let m(k) = -k**2 + 22*k + 13. Let w be 1*-10*(-4)/(24/6). What is the remainder when m(w) is divided by 63?
7
Suppose 2*y = 13 - 3, 7 = -3*g + 5*y. Let u be 129/g - (-3)/(-6). Suppose 64 = 3*m - 2*p + 15, p - u = -2*m. What is the remainder when m is divided by 3?
1
Let y(s) = 71*s + 9314. What is the remainder when y(-113) is divided by 197?
109
What is the remainder when (-10 - 64)/(7 - (-234)/(-33)) is divided by 117?
112
What is the remainder when 2*1/(-2) - 33/(627/(-69616)) is divided by 8?
7
Let s(z) be the third derivative of 5/2*z**3 + 1/120*z**6 - 13/60*z**5 + 0 + 11/24*z**4 + 0*z + z**2. Calculate the remainder when 23 is divided by s(12).
2
Let h(u) = u**2 + 191*u + 793. What is the remainder when 635 is divided by h(-187)?
5
Suppose -4*b = 2*l - 1138, 83 = -2*l - 2*b + 1211. Calculate the remainder when l is divided by 12.
7
Suppose -59*v + 173388 = -17123. What is the remainder when v is divided by 32?
29
Suppose 12 = 2*h, -2*y + 18*h + 32546 = 23*h. Calculate the remainder when y is divided by 60.
58
Suppose 30*b + 1002 = 3912. What is the remainder when b is divided by 83?
14
Let f(n) = 3*n**2 - 136*n + 64. Suppose -35*c - 270 = -41*c. What is the remainder when 128 is divided by f(c)?
14
Suppose -5*i = 25, 584 = 5*d + i + 394. Calculate the remainder when d is divided by (26/6)/((-2)/(-18)).
0
Let b = 66 + -10. Let q = -542 - -874. What is the remainder when q is divided by b?
52
Let u = 977 + -954. Let w(y) = 9*y**2 - 5 + 7*y + 0 + y**3 - 4. Calculate the remainder when w(-7) is divided by u.
17
Suppose 611 = g + 3*p + 94, 4*g = -3*p + 2023. Let i = 1068 - 1047. Calculate the remainder when g is divided by i.
19
Suppose 0 = -73*f + 77*f - 4*w - 2232, 2*w = -5*f + 2769. What is the remainder when f is divided by 189?
177
Let k(x) = 89*x - 177. What is the remainder when k(7) is divided by 220?
6
Let u be (48/(-2))/4 - -9. What is the remainder when 59 is divided by (-58)/(-2) + 15/u?
25
Let y be 4*(16/4 + -9 + 3). Calculate the remainder when 199 is divided by (-2)/3*300/y.
24
What is the remainder when (-1)/(((114/(-1044))/(-19))/(1/(-2))) is d