st derivative of -125*n**2/2 + 3*n + 7. Let y be h(-3). What is the remainder when 5/2*y/35 is divided by 10?
7
Suppose -2*a - 84 = -210. Suppose -225*f - 3402 = 89*f - 81274. What is the remainder when f is divided by a?
59
Calculate the remainder when 5104/(-12)*(-156)/208 is divided by 19.
15
Let f = 12501 + -12499. What is the remainder when 966 is divided by f?
0
Let s = -72 - 28. Let u = s - -108. Let p(i) = i**2 + i - 2. Calculate the remainder when p(4) is divided by u.
2
Suppose 0 = 42*n - 50148 - 13440. What is the remainder when n is divided by 15?
14
Let g(w) = -54*w - 329. What is the remainder when g(-10) is divided by 85?
41
Suppose 5*r - 30 = -w, 4*w = 2*r + 3*r - 5. Suppose -5*u + 3 + 2 = r*h, -5*h = 3*u - 3. Suppose -3 - u = -4*f. What is the remainder when 3 is divided by f?
0
Let f be ((-104)/6)/(2/(-3)). Suppose -f + 5 = -3*j. Suppose -j*r + 43 + 20 = 0. Calculate the remainder when 17 is divided by r.
8
Let r = -63 + 111. What is the remainder when (585 + -611)*22/(-4) is divided by r?
47
Let x(n) = -4*n**3 + 11*n**2 + 4*n + 107. What is the remainder when x(-10) is divided by 19?
18
Suppose -426 = -5*p - 4*t, 2*p + p - 259 = t. Suppose p + 34 = 4*z. What is the remainder when z is divided by (-10)/(-4) - 1953/(-126)?
12
Let v(n) = -20*n - 151. Let i be v(-29). Calculate the remainder when ((-2)/3)/(2563/i - 6) is divided by 6.
2
Let p(j) = -16*j + 4. Let q = 686788 + -686634. Calculate the remainder when q is divided by p(-3).
50
Let i = 9807 - 9554. What is the remainder when 993 is divided by i?
234
Let d = -1701 + 1969. What is the remainder when d is divided by 30?
28
Suppose -42*r + 5631 = -14025. Calculate the remainder when r is divided by 45.
18
Suppose -5*a - 2 = 5*i + 13, 8 = -i. What is the remainder when 34 is divided by a?
4
Let w(o) be the third derivative of o**6/120 + o**5/20 - 3*o**4/8 + 7*o**3/3 - 22*o**2. Calculate the remainder when 60 is divided by w(-5).
6
Calculate the remainder when -1 - (51 - 2)/(-1) is divided by (10 - 1) + (-8)/2.
3
Suppose 5*q + 4*b - 798 = 0, -3*q = 4*b + 135 - 625. Calculate the remainder when 222 is divided by q.
68
Let s(i) = -5*i**3 - 3*i**2 + 7*i - 1. Let x be s(2). Let d = 41 + x. Suppose -d*m - 20 = -58. What is the remainder when 55 is divided by m?
17
Let v = 88 - 102. Let p = -21 + 15. Calculate the remainder when (2/p)/(v/1974) is divided by 24.
23
What is the remainder when 34*(31218/(-44))/(-43) is divided by 76?
29
Let k(f) = -820*f - 626. Calculate the remainder when k(-1) is divided by 60.
14
Let z be -2*(5 - (-6 - -8)) - -606. Let v = z + -588. Calculate the remainder when 68 is divided by v.
8
Let t(i) = 223*i - 89. What is the remainder when t(4) is divided by 115?
113
Suppose -30*p - 35 = -37*p. Suppose 0 = p*y - 267 - 8. Calculate the remainder when 218 is divided by y.
53
Suppose 5*l - 4*h - 10507 = 0, 0 = -2*l - 4*l - 5*h + 12579. What is the remainder when l is divided by 30?
29
Let k(h) = -h**3 + 8*h**2 - 10*h - 8. Let s = -695 + 701. What is the remainder when 13 is divided by k(s)?
1
Let r(k) = k**2 + 16*k + 22. Let i(l) = 15*l**3 + l**2 - l - 2. Let u be i(-1). Calculate the remainder when (-1)/5 - 182/(-10) is divided by r(u).
4
Suppose -8 + 1 = -5*d + 3*o, 4*o + 21 = -5*d. What is the remainder when 170 is divided by (-1 + 3)*d*145/(-5)?
54
Let o(z) = -34*z - 80. Let y be o(-2). Let f(j) = 17*j - 20. Let c(a) = -2*a. Let x(g) = -18*c(g) - 2*f(g). Calculate the remainder when 45 is divided by x(y).
13
Calculate the remainder when (9 + 92/(-20) + 0)*870 is divided by 637.
6
Suppose 4*s - 940 = -5*w, 378 = 3*w + 3*s - 183. Suppose 21*x + 160 = 25*x + 4*t, w = 5*x + 3*t. What is the remainder when 49 is divided by x?
13
Let w(y) = y**2 + 17*y + 28. Let l = -284 - -267. Calculate the remainder when w(l) is divided by 8.
4
Suppose -4*y = -4*k + 684, k = 4*y + y + 175. Suppose 9*c + k = -190. Let n = c - -47. Calculate the remainder when 24 is divided by n.
3
Let w(i) = -i**2 + 29*i + 2394. What is the remainder when w(49) is divided by 284?
278
Suppose 0 = 14*u + 858 - 1586. Calculate the remainder when 342 is divided by u.
30
Let v be -3 + 1 + 6/(10 - 7). Suppose v = 4*r - 970 - 210. Suppose h + 4*t = 3*h - 142, -3*t = 4*h - r. What is the remainder when h is divided by 38?
35
Let d = 6 - -6. Suppose 0 = 17*w - 22*w + 560. Suppose 361 = 3*h + w. Calculate the remainder when h is divided by d.
11
Suppose -3*f = 3*s - 8*f - 399, 639 = 5*s - 4*f. What is the remainder when s is divided by 115?
8
Let s = 290 - 50. Suppose s = -2*i - 4*i. Let w = i + 82. Calculate the remainder when w is divided by 15.
12
Let q(g) = 65*g**3 - 1. Suppose -1 = b, -53 + 2 = -4*w - b. Let h = w - 12. Calculate the remainder when q(h) is divided by 17.
13
Suppose -z = 3*q - 57, -10*q + z + 38 = -8*q. Suppose q*m - 1058 + 13 = 0. Calculate the remainder when m is divided by 14.
13
Let u = 24308 + -24101. Calculate the remainder when 2478 is divided by u.
201
Suppose -b + 276 = 108. What is the remainder when b is divided by 4 + 48 - (-28 - -34)/(1*-1)?
52
Suppose 73 = z + 8 + 2. What is the remainder when 1322 is divided by z?
62
Suppose 4*p + p - 3*m - 240 = 0, -m = 2*p - 96. Suppose -73*r + 200 = -p*r. What is the remainder when 45 is divided by r?
5
Let p = -12144 - -13225. Calculate the remainder when p is divided by 18.
1
Let a(n) = n**2 - 7*n + 13. Let y be a(3). What is the remainder when 79 is divided by (19/(475/(-30)))/(y/(-25))?
19
Let f = -27 + 31. Suppose -f*n + 22 = 6. Suppose 61 + 13 = 5*p - 4*g, -n*g + 70 = 3*p. Calculate the remainder when 52 is divided by p.
16
Suppose -n = w - 25, n + 2669 = 5*w + 2730. Let c = -158 - -249. Calculate the remainder when c is divided by n.
29
Suppose 0 = -5*z + 40*z - 945. Calculate the remainder when 31 is divided by z.
4
Suppose -2*l = 5*v + 344, 4*l + 88 + 124 = -3*v. Let k = 113 - v. What is the remainder when k is divided by 39?
25
Let y(m) = -13*m + 4. Let b(o) = -7*o + 1. Let n(q) = 10*b(q) - 6*y(q). What is the remainder when 115 is divided by n(7)?
31
Let k be 9*74/(-3)*-1. Suppose k = 4*v + 30. What is the remainder when v is divided by 32?
16
Suppose 3*c + 3*o - 9 = 0, -2*c - 3 + 1 = 4*o. Calculate the remainder when (-4)/(-34) + (-51300)/(-3230) is divided by c.
2
Suppose 132*q + 202*q = 107214. Calculate the remainder when 980 is divided by q.
17
Suppose -61 = -3*n - 13. What is the remainder when ((-9072)/(-120))/(18/60) is divided by n?
12
Suppose 3419 = 59*n - 3. What is the remainder when 1402 is divided by n?
10
Suppose -7*x + 2*x + 696 = -4*l, l + 276 = 2*x. Suppose 503*d = 499*d + x. Calculate the remainder when 82 is divided by d.
14
Let m(n) = -n**2 + 38*n - 39. What is the remainder when 3019 is divided by m(33)?
121
Let i = -1715 + 1772. Calculate the remainder when 165 is divided by i.
51
Suppose 437*m = 534*m - 2975766. Calculate the remainder when m is divided by 26.
24
Suppose 210 = -4*h + 3*m, 3*h - 6*m + 4*m + 158 = 0. Let w = 120 + h. What is the remainder when 66/4 + 1 + w/44 is divided by 5?
4
What is the remainder when 993 is divided by ((-3)/27)/((432/18)/(-52056))?
29
What is the remainder when (493/51)/((-5)/(-180)) is divided by 92?
72
Calculate the remainder when 2190 is divided by 4608/180 + -26 + (-117)/(-5) + 2.
15
Suppose -6570*g = -6567*g - 1146. Calculate the remainder when g is divided by 96.
94
What is the remainder when 638/20097 + 1368734/126 is divided by 1809?
9
Let z = -1777 + 2435. Calculate the remainder when z is divided by 7.
0
What is the remainder when 696 is divided by (-8 + 9)/((-6)/30) + 234?
9
Suppose -322*p = -299*p - 414. What is the remainder when 5920 is divided by p?
16
Let z(s) = -18*s + 1680. What is the remainder when 2044 is divided by z(93)?
4
Let m = 28247 + -28241. What is the remainder when 12105 is divided by m?
3
What is the remainder when (((-396)/8)/11)/(39/(-572)) is divided by 54?
12
Suppose u - 47 + 17 = 0. Suppose -527*o - 220 = -522*o. What is the remainder when u is divided by 1 + ((-24)/(-1))/((-66)/o)?
13
Suppose 3*k + 5*o = 885 + 734, -4*k + 2236 = -3*o. Calculate the remainder when k is divided by 124.
57
Suppose 11*j + 1520 = -5*j. Let d be 2/(-19) + (-295)/j. Suppose 20 = d*p - 148. Calculate the remainder when p is divided by 19.
18
