ded by f.
9
Let a(j) be the first derivative of -j**3/3 - 25*j**2/2 - 84*j + 31. What is the remainder when a(-19) is divided by 19?
11
Suppose j + 3*j - f - 506 = 0, 0 = -2*f - 4. What is the remainder when j is divided by (606/404)/(6/104)?
22
Calculate the remainder when 489 is divided by (-16)/(-72) - (3 - (-10052)/(-126)).
27
Suppose -23*r - 34281 = -48357. Calculate the remainder when r is divided by 27.
18
Let x = -81 - -72. Calculate the remainder when 94 is divided by ((-7344)/30)/x - 2/10.
13
Let h(m) = -374*m + 167. Calculate the remainder when h(-3) is divided by 7.
1
Let s(c) = 6*c + 5*c - 26*c - 19 + 17*c + 2*c**2. Calculate the remainder when 54 is divided by s(-5).
12
Suppose -169 = 2*k - 201. Suppose 4*d + d = -5*t + 30, -5*d + 6 = -3*t. Let b = d + 6. Calculate the remainder when k is divided by b.
7
Suppose 2100 = 3278*i - 3253*i. Calculate the remainder when i is divided by 22.
18
Suppose -161*d + 378887 + 778335 = -734528. Calculate the remainder when d is divided by 73.
70
Suppose -24*w + 26*w + 5*n - 167 = 0, n + 242 = 3*w. What is the remainder when 318 is divided by w?
75
Let y = -81 + 83. Let w(a) = -5 + 9 + 16*a - 2 + a**y + 0*a**2. What is the remainder when w(-18) is divided by 13?
12
Let f be 764/10 - (-2)/(-5). Suppose -29 = -p + 4*u, -p + 3*p - f = 2*u. Suppose -9*l - p = -185. What is the remainder when 30 is divided by l?
14
Suppose -6*j = i - 7*j + 91, -3*j + 363 = -4*i. Let c = -86 - i. Let k = c - -28. Calculate the remainder when k is divided by 11.
10
Let j(r) = 2*r**3 - r**2 + 3*r - 4. Let s(u) = -1 - 2*u + u - 3 + 2*u. Let c be s(6). Calculate the remainder when j(c) is divided by 6.
2
Let d(q) = -q**3 + 7*q**2 - 5*q - 10. Let p(b) = b**2 - 2*b + 1. Let n(y) = d(y) + 3*p(y). What is the remainder when n(8) is divided by 5?
3
Let s = 1250 + -743. Suppose -s = -27*k - 156. What is the remainder when 188 is divided by k?
6
Suppose -5*y + 771 = x, 3*x + 37*y - 28*y = 2355. What is the remainder when x is divided by 50?
6
Let o(g) = -147*g + 28. Let d be o(7). Suppose 3*c - 4*c = -136. Calculate the remainder when c is divided by (d/4)/(-7) - 6/8.
31
Let n = -219 - -168. Let a = 122 - n. Calculate the remainder when a is divided by 29.
28
Suppose -224 = 2*a - 9*a. Let i(s) = -8*s - 9. Let d be i(-2). Let y(j) = -j**2 + 8*j + 4. Calculate the remainder when a is divided by y(d).
10
Let k be 124/155 - (-42)/10. Let h(o) = -o**3 + 6*o**2 + 2*o - 18. Calculate the remainder when 162 is divided by h(k).
9
Let g = 25 - 25. Let m = 4 + -1. Suppose 13 - 98 = -5*r + m*l, 2*r - 3*l - 34 = g. What is the remainder when r is divided by 11?
6
Suppose 0 = -4*r + 2*g + g + 60, g - 30 = -2*r. Let u(c) = -c**3 - 9*c**2 - 30*c - 366. What is the remainder when u(-10) is divided by r?
4
Let h(g) = 13 - 2212*g - 2*g**2 + 2209*g + 5*g**2 - 2*g**2 - 1. Suppose 3 + 15 = 3*y. Calculate the remainder when h(y) is divided by 19.
11
Suppose 0 = 160*k - 2975 - 2305. What is the remainder when 84 is divided by k?
18
Let k be (-2)/(2/1)*(865 - 8). Let s = k - -460. Let w = -275 - s. What is the remainder when w is divided by 41?
40
Let f be 3 + 15/1 - (-6)/3. What is the remainder when f/(-25) - (-13986)/45 is divided by 13?
11
Suppose 1797*u - 1819*u = -1540. What is the remainder when 1971 is divided by u?
11
Calculate the remainder when ((-40)/(-80) - 643/2)/((-6)/256) is divided by 19.
16
Let u = 362978 + -362919. Suppose 0 = 3*x + c - 698, -5*x + 930 = -x + 2*c. Calculate the remainder when x is divided by u.
56
Let a be 0/((-16)/4) - (-36 + 0). Let t = a + 7. Calculate the remainder when t is divided by 816/(-32)*(-1)/(-3)*-2.
9
Suppose -5*w + 120 = -55. Let h = 2492 - 2475. What is the remainder when h is divided by 14/w - (-8)/5?
1
Suppose 1551*o - 1615*o + 896 = 0. What is the remainder when 424 is divided by o?
4
Let o = -13246 + 13270. What is the remainder when 363 is divided by o?
3
Let d(z) = z**2 - z - 3. Let j(s) = s**2 - s - 26. Let b = -252 + 264. Calculate the remainder when j(b) is divided by d(-5).
25
Let o be ((-6)/(-4))/((-3)/(-20)). Suppose o = 8*p - 3*p. What is the remainder when 294/77 + p/11 is divided by 3?
1
Let i(l) = 420*l - 23. Let u be i(1). Suppose 4*j - 15*k = -19*k + 792, 0 = 2*j + k - u. What is the remainder when j is divided by 10?
9
Suppose 6*c - 2*q = c + 793, c - 131 = 5*q. Calculate the remainder when c is divided by 8514/154 - -3*(-2)/21.
51
Suppose -2*r + 46 = -4*y, 3*y - 8 - 15 = -r. Calculate the remainder when 12/(-14) + 6175/91 is divided by r.
21
Suppose -1288 = 28*g - 51*g. Suppose -6*u - 4 = -58. Calculate the remainder when g is divided by u.
2
Let w = -127 - -3. Suppose -2*c + 120 = s, -3*s - 4 - 63 = -c. Calculate the remainder when c is divided by w/(-6) + (-4 - 13/(-3)).
19
What is the remainder when 2262 + -5*17/5 is divided by 1120?
5
Let u = 67 - 65. Suppose 0 = u*z - 5*z. Suppose z = -5*p + x + 95, p + 3*x = x + 19. What is the remainder when 131 is divided by p?
17
Let j = -74 + -10. Calculate the remainder when (-1 + -30)*j/21 is divided by 26.
20
Suppose 0*m + m - 2*j = 13, j = m - 17. Let s(v) = 39*v + 362. What is the remainder when m is divided by s(-9)?
10
Suppose n = 3*t - 587, -4*n + 0*t - 3*t - 2348 = 0. Let j = -528 - n. What is the remainder when 412 is divided by j?
58
Let x(h) = h**3 - 13*h**2 - 6*h + 257. Calculate the remainder when x(14) is divided by 17.
12
Suppose 2*j - 2 = 3*q - 2*q, 5*q + j + 10 = 0. Let o = 9 + q. Suppose 0 = -2*m + 7 + 17. Calculate the remainder when m is divided by o.
5
Suppose 5*i - 150 = 3*x + 2*x, 3*i + x - 110 = 0. What is the remainder when i is divided by ((-10)/7)/((-183)/42 + -2 + 6)?
3
Let f = 2 - -1. Let z = 5756 + -5714. Calculate the remainder when z is divided by 232/10 - f/15.
19
Let z = -178 - -260. Let l(j) = j**3 - 82*j**2 - 83*j + 21. Calculate the remainder when z is divided by l(83).
19
Suppose -5*s - 5*x = -112 - 33, 0 = 4*x - 12. Calculate the remainder when 12426 is divided by s.
24
Let c = -4382 - -4387. Suppose -8*t + 7*t + 45 = 0. What is the remainder when t is divided by c?
0
Suppose 2*r - 4 = 3*y, 2*r + 5*y = y + 4. Suppose -r*u = -7*u + 3*c + 1020, 2*c - 816 = -4*u. What is the remainder when u is divided by 52?
48
Let m = 147 - 177. What is the remainder when m/(-21) - 1 - (-2738)/14 is divided by 11?
9
Suppose -433*w = -503*w + 2526720. Calculate the remainder when w is divided by 9.
6
Let f(p) = 84*p - 702. Let q(w) = -2*w**2 + 44*w + 45. Calculate the remainder when q(19) is divided by f(9).
51
Let j(g) = g**2 + 5*g - 12. Let x be j(-7). Let a be 369/2 + x/4. Suppose -4*t + a = -75. Calculate the remainder when t is divided by 17.
14
Let d(h) = -3*h**2 - 31*h - 17. Let c be d(-10). Suppose 9*x - 4*x - 155 = 0. Calculate the remainder when c/28*-8*28 is divided by x.
25
Let z(a) = -20*a - 16. Let t be z(-1). Suppose 107 = 5*d + 5*w - 3, -t*d + 5*w = -79. What is the remainder when 69 is divided by d?
6
Let a = 6849 - 6576. What is the remainder when a is divided by 124?
25
Suppose 16*x = 17*x. Suppose x = -16*o + 13*o + 27. Let p(n) = n**2 + 3*n - 5. Calculate the remainder when p(5) is divided by o.
8
Let q(l) = -l**2 - 14*l - 19. What is the remainder when q(-10) is divided by (-4 - (-110)/15)/(6/9)?
1
Let c(q) be the second derivative of q**4/12 - 5*q**3/2 + 241*q**2/2 + 33*q - 1. Calculate the remainder when c(19) is divided by 20.
17
Suppose 310 + 125 = 5*x. Suppose -118 = -5*d - 2*t + x, -t = d - 44. What is the remainder when d is divided by ((-33)/(-27) - 1) + (-1176)/(-54)?
17
Let j(c) = c**3 - 7*c**2 - 5*c + 33. Let k = -13 - -24. Calculate the remainder when k is divided by j(2).
2
Suppose 35211 = 44*c - 12*c - 5045. What is the remainder when c is divided by 20?
18
Suppose 201 = -38*b + 961. What is the remainder when 1017 is divided by b?
17
Suppose -u + 15 = -5*t + 4, -5*u + 331 = 21*t. What is the remainder when 314 is divided by u?
27
What is the remainder when (20 - 9) + -8 + 254 is divided by 17?
2
Suppose -4*v = -3*q - 56, 10*q - 63 = -5*v + 12*q. What is the remainder when 280 is divided by v?
5
Suppose -11*b + 23*b = 132. Suppose -2*s - 10 = 0, 10*y - s + 95 = b*y. What is the remainder when y is divided by 27?
19
Let a be (-24930)/25 + 5 + 2/10. Let y = -985 - a. Let l(o) = 3*