 47. Let s(q) = 9 - j - 6*q**2 - 11 + 6*q + q**3 - q. Calculate the remainder when 119 is divided by s(6).
19
Let g(k) = k**3 + 19*k**2 - 72*k - 1. Calculate the remainder when 403 is divided by g(-22).
10
Let r(h) = 30*h**2 - 4*h - 3. Let o(b) = 153*b**2 - 1. Let f = 65 - 66. Calculate the remainder when o(f) is divided by r(-1).
28
Let g(h) = -182*h - 541. Calculate the remainder when g(-5) is divided by (2 - 0)*106/4.
51
Let q(b) = b**2 - 49*b + 337. Suppose 4*k = 5*l + 832, k + 4*l + 115 = 344. What is the remainder when k/(-3)*1*-3 is divided by q(7)?
41
Let q = 1562 + -1206. Calculate the remainder when q is divided by 14.
6
Let d be (56/(-42))/((-2)/75). Suppose -46*b - 104 = -d*b. Suppose -11*h + 25 = -85. Calculate the remainder when b is divided by h.
6
Let q(g) = 3*g**2 + 4*g + 21. Suppose 14*p = 9*p + 130. What is the remainder when q(-9) is divided by p?
20
Let d be (74/6)/(15/45). Suppose -2*x - 3*r + 73 = 0, x - 2*x - r + d = 0. What is the remainder when 150 is divided by x?
36
Calculate the remainder when (-45)/36 + 4 + 581/4 is divided by 26.
18
Suppose 3*x - x - 134 = 0. Let k(y) = 5*y**2 - 5*y + 8. Calculate the remainder when x is divided by k(2).
13
Let d = 8923 + -8556. What is the remainder when d is divided by 94?
85
Let y = -193 - -360. Let o = y + -140. What is the remainder when 160 is divided by o?
25
Let b(y) = -y**3 - 15*y**2 - 29*y - 14. Let c(w) = -w - 9 + 31 + 6*w. Let o be c(-7). What is the remainder when b(o) is divided by 9?
7
Let s = -662 + 818. What is the remainder when 476 is divided by s?
8
Let s = -9 + 18. Suppose -4*m + s = -3*m. Let f = 24 - m. Calculate the remainder when f is divided by 4.
3
Suppose -67*w = -75*w + 616. What is the remainder when w is divided by 16?
13
Let o = 473 + -469. Calculate the remainder when (-6 - -87)*(3 - (-16)/(-6)) is divided by o.
3
Suppose -145 = -3*d - f, 0 = -4*d - 3*f - 2*f + 197. What is the remainder when 64685/170 + (2/8)/(-1)*-2 is divided by d?
45
Suppose -5*x + 3*g + 306 = -73, -3 = g. Let n(t) = 3*t - 69. Let m be n(24). What is the remainder when x is divided by (25 - 2) + -7 + m?
17
Let p(n) = -n**3 - 8*n**2 + 11*n - 7. Let k be 2 + 2 - (1 - (-8)/(-2)). Let r be p(k). Calculate the remainder when 3/(-12) - r/20 is divided by 19.
14
Suppose -22064 + 7953 = 79*h - 160814. Calculate the remainder when h is divided by 15.
12
Let q(u) = -140*u + 17. Let z be q(-2). Let b = -231 + z. What is the remainder when b is divided by 14?
10
Suppose -683 = -2*n - 159. Calculate the remainder when n is divided by 86.
4
Let i be (-1)/1*0 + 4. Suppose t = 4*l + i*t - 503, 3*l - 5*t = 370. Suppose -l + 50 = -5*z. What is the remainder when 42 is divided by z?
12
Let l(t) = -t**2 + 3*t - 10. Let d be l(-5). Let x be (-522)/(-5) + 4/(-10). Let w = d + x. What is the remainder when 212 is divided by w?
50
Let v(f) = 17*f**3 + 4*f**2 - 14*f - 27. What is the remainder when v(4) is divided by 67?
64
Let m(d) = d**2 + 34. Let f = -1123 - -1138. What is the remainder when m(0) is divided by f?
4
Let d(w) = -394*w - 3. Let m be d(2). Let p = m + 814. What is the remainder when p is divided by 9?
5
Suppose 20*k - 7*k = -5395. Let n = k - -452. Suppose 5*z - 10 = 0, 73 = 6*u - u - z. What is the remainder when n is divided by u?
7
Let g(a) = -112*a - 874. What is the remainder when g(-14) is divided by 11?
1
Suppose 6*v - 372 = -v + 1413. Calculate the remainder when v is divided by 9.
3
Suppose -5*r + 4*r + 10 = 0. Let g(k) be the first derivative of k**4/4 - 10*k**3/3 + 5*k**2/2 - 11*k - 460. Calculate the remainder when g(r) is divided by 8.
7
Suppose 3*u - 3*j = 162, -4*j = 2*u + j - 80. Let f = 14 - 12. Suppose -4*a = -5*k - 14 - 65, a - f*k = 16. What is the remainder when u is divided by a?
24
Suppose 114*d - 3243 = -963. What is the remainder when 1218 is divided by d?
18
Let d(l) = l**2 - 9*l - 18. Let x be d(-3). Let k be (-2)/x - 1420/180. Calculate the remainder when 90 is divided by 26 - (-5*k/20 + -2).
12
Let w be (-4)/(-24)*-188*3/(-2). Suppose 0 = 44*f - w*f + 123. What is the remainder when 109 is divided by f?
27
Suppose -51 = -2*f - d, -47*f - 53 = -48*f + 5*d. Calculate the remainder when (-18)/((-14)/12 - -1) is divided by f.
24
Let d(l) = 6*l**2 + 235*l - 181. Calculate the remainder when 371 is divided by d(-40).
10
What is the remainder when 8 + 506 + 4 + -4 + 5 is divided by 162?
33
Suppose 5*a = 4 - 14, 5*a + 30 = 4*n. Suppose 2*b + 7*i - 23 = 12*i, -62 = -3*b + 2*i. Calculate the remainder when n*(3 + 141/15) is divided by b.
14
Let s = 2881 + -2776. Calculate the remainder when 1780 is divided by s.
100
Suppose p - 58 - 14 = -4*j, 3*p = 2*j - 22. Suppose 0 = 2*s - j - 15. Calculate the remainder when 61 is divided by s.
13
Let h be (67 + -65)/(1/125). Let r = h - 209. What is the remainder when 3/((-6)/(-242)) - 0 is divided by r?
39
Suppose -2*l - 4*a = -180, 5*l + 0*a - 2*a = 474. Let u = l - 18. Let x = -16105 + 16121. What is the remainder when u is divided by x?
12
Suppose -3*b + 21*z = 19*z - 1928, 656 = b + 2*z. What is the remainder when b is divided by 39?
22
Let l(g) = 2*g**2 - 28*g - 228. What is the remainder when 617 is divided by l(-6)?
5
Suppose -f - 2*u + 124 = 0, 5*f - 70*u + 71*u - 611 = 0. Calculate the remainder when 461 is divided by f.
95
Let c be -1 + 4 - (0 + (-3 - 18)). Suppose -13*y + 17*y = c. Suppose y*m + 360 = 10*m. What is the remainder when m is divided by 23?
21
Suppose -9*i - 6*i = -4290. Suppose 2*l = 6, l = 4*p - l - i. Calculate the remainder when p is divided by 15.
13
Let h = 4955 - 4886. Calculate the remainder when h is divided by 10.
9
Let q be ((-20)/(-35))/((-2)/(-7)). Suppose -q*p + p = -18. What is the remainder when (p/18)/(1/69) is divided by 12?
9
Let h(b) = -b**3 + 8*b**2 - 9*b + 9. Let p(y) = -y**3 + 28*y**2 - y + 32. Let u be p(28). Calculate the remainder when h(u) is divided by 16.
5
Suppose u - 120 = -19*u. What is the remainder when 67 is divided by 2/(6 - 0) + 106/u?
13
Suppose 3*s - 40 = 11. Calculate the remainder when ((-1248)/(-1040))/((-1)/(-45)) is divided by s.
3
Suppose -5*y - 2*g + 28 = -242, 0 = y + 2*g - 46. What is the remainder when 239 is divided by y?
15
Suppose -5*t - 76 = 12*w - 13*w, 3*t + 6 = 0. Suppose -2*x - w = -160. What is the remainder when x is divided by 6?
5
What is the remainder when 1899 + (1 + 119/28)*(-24)/(-18) is divided by 380?
6
What is the remainder when (-1 - -8)*(-2065)/(-245) is divided by 5?
4
Let a(i) = -252*i + 16. Let k be a(-4). Suppose -38*h = -6*h - k. Calculate the remainder when h is divided by 21.
11
Suppose -171*b - 1192*b + 12405 = 635*b - 19563. Let z be (-2)/(-3) - (-632)/6. Let s = z + -60. Calculate the remainder when s is divided by b.
14
Let o(n) = 4*n**2 + 47*n. Let r(x) = 7*x + 80. Calculate the remainder when o(-12) is divided by r(-11).
0
Let f = -14195 - -15336. What is the remainder when f is divided by 369?
34
Suppose -3*o + 41 = 2*r, -82 = -5*o + 14*r + 73. Calculate the remainder when 8*82*3/24 is divided by o.
14
Calculate the remainder when 91 is divided by (84/(-5))/(5 + (-78)/15).
7
Let v(z) = 9*z - 80. Suppose m + 62 = -3*j - m, 4*j = -5*m - 92. Let r = -2 - j. Calculate the remainder when v(14) is divided by r.
14
Let k(q) = q**2 - 4*q + 7. Suppose -500*b + 582*b - 6724 = 0. What is the remainder when b is divided by k(5)?
10
Suppose -3*g - 8 = -7*g. Let a(u) = 33 - u**3 + 1464*u**2 - 1464*u**g + u. What is the remainder when 131 is divided by a(0)?
32
Let l = 89 + -87. Let p = 197 + -183. What is the remainder when p is divided by l?
0
Suppose 2*h + 0 = -4. Suppose -5*w - 5*k + 35 = 0, w - 51490*k - 7 = -51487*k. Calculate the remainder when (-162)/(-21) - h/7 is divided by w.
1
What is the remainder when (-63 + -7)*672/(-196) is divided by 9?
6
Let v = 22542 + -21885. What is the remainder when v is divided by 60?
57
Suppose 2*j - 332 = -338. Suppose -56 = -3*l + 82. Calculate the remainder when l is divided by 120/25 + j/(-15) + 5.
6
Let v(p) = -p + 167. What is the remainder when v(-62) is divided by 154?
75
Let s be ((-39)/(-9) - 4)*1*0. Suppose n = -l, s*l + n + 8 = l. Calculate the remainder when 15 is divided by l.
3
Let i(s) = s**3 + 7*s**2 + 5*s + 2. Suppose -14 = 7*u + 7. Calculate the remainder when (-2)/(-13)