by o?
1
Let d(h) be the third derivative of -h**5/12 - 2*h**4 + h**3/3 - 3*h**2 + 6*h. Calculate the remainder when d(-9) is divided by (1 + 0)/((-2)/(-24)).
5
Let a(u) = -u**3 - u**2 - 20*u - 480. What is the remainder when a(-12) is divided by 27?
21
Let u = -117 + 121. Suppose u*j = -5*g + 183, -4*j + 162 = -4*g + 2*g. What is the remainder when 669 is divided by j?
39
Let f = -337 - -520. Let c = -48171 + 48233. What is the remainder when f is divided by c?
59
Let f(z) = -z**3 + 6*z**2 - 2*z + 1. Let v be f(6). Let j = 1553 - 1574. Let m = v - j. What is the remainder when m is divided by 8?
2
Suppose -2*h + 836 = -h - p, 0 = p + 2. Suppose 9*c = 3*c + h. Calculate the remainder when c is divided by 10.
9
Suppose -n = -5*i - 232, 0 = 6*n - n - 2*i - 1091. Let w = -132 + n. Calculate the remainder when w is divided by 25.
10
Suppose -p + 110 = 4*p. Let g = -4454 + 4532. What is the remainder when g is divided by p?
12
Suppose 0 = 4*w - 384 - 296. Suppose 3*g - 145 = w. Suppose -666 = -97*l + 60*l. What is the remainder when g is divided by l?
15
Suppose 3*j + 375 = -4*h + 581, -h = 5*j - 349. What is the remainder when j is divided by 51?
19
Suppose 260*s = 825*s - 660623 - 18507. What is the remainder when s is divided by 256?
178
Let w(h) = -20*h**3 + 31*h + 63. What is the remainder when w(-2) is divided by 76?
9
Let h(d) = -599*d + 675. What is the remainder when 2956 is divided by h(1)?
68
Let x(o) = 6*o**2 - 185*o + 524. Calculate the remainder when 969 is divided by x(28).
9
Suppose 8*r - 24*r - 5*f = -134, -5*r = -5*f - 55. Calculate the remainder when 208 is divided by r.
1
Suppose 0 = -8*x + 155 + 141. Suppose 37 - 222 = -x*p. Calculate the remainder when 63 is divided by p.
3
Let k be (-3393)/435*(-30)/9. Let x be 194/7 - (-6)/21. Let w = x - k. Calculate the remainder when 5 is divided by w.
1
Suppose -49 = -2*n + 17. Suppose -3*q + 234 + 231 = 0. What is the remainder when q is divided by n?
23
Let k(t) = 7*t - 119. Let f be k(29). Suppose -f = -9*c + 132. Calculate the remainder when 80 is divided by c.
8
Let h be (-4)/(-7) - ((-1560)/14 - -3). Let w = 140 - h. What is the remainder when w is divided by 22?
9
Let j = 47 - 51. Let a be 1*10*j/8. Calculate the remainder when (-473)/a + -5*(-4)/50 is divided by 12.
11
Suppose 0 = -v - 6*z + z + 22, z = 0. Suppose -27*w = -v*w - 200. Let n(g) = -g**2 - 7*g + 39. What is the remainder when w is divided by n(-9)?
19
Suppose -2*r = -4*l - 1258 + 1228, -2*r = 4*l - 78. Calculate the remainder when 124 is divided by r.
16
Calculate the remainder when (-1245)/20*15/((-135)/72) is divided by 54.
12
Suppose -24*o + 2*o + 481 = -9*o. What is the remainder when 403 is divided by o?
33
Calculate the remainder when 460 is divided by (-11 - -6) + 8 + (75 - (1 + 0)).
75
Let x = 3974 - 3911. Let p = 14 + -2. Calculate the remainder when x is divided by p.
3
Let s(n) = 42*n - 52. Let k(l) = 14*l - 17. Let m(a) = 8*k(a) - 3*s(a). Calculate the remainder when m(0) is divided by 7.
6
Let i = -16 - -86. Let j = 226 - 128. Let m = j - 80. Calculate the remainder when i is divided by m.
16
Suppose -3*x + 4*x - 5*c = -10, -5*c = -4*x + 20. Let g(f) = 13 - 1 - 1 - 2*f + 0. What is the remainder when g(-9) is divided by x?
9
Let u(z) = 41*z**2 + 1. Suppose 0 = -35994*c + 36504*c - 8670. Calculate the remainder when u(6) is divided by c.
15
Suppose -3957 = -34*d - 404 + 289. Calculate the remainder when 676 is divided by d.
111
Suppose 2666 = 25*d - 959. Calculate the remainder when 3622 is divided by d.
142
Let n be (-3 - -35*1) + 1. Let z = 33 - n. Suppose -4*t = 3*b - 9, z*t = -b - t + 4. What is the remainder when 32 is divided by b?
4
Suppose 4*j = -5*y - 24, -j = -0*y - 4*y - 15. Let o(p) = p**3 + 7*p**2 + 22*p + 73. Calculate the remainder when j + (-273)/(-4 + 1) is divided by o(-5).
12
Let t(a) = 122*a + 2. Suppose -6 = w + f, 10 = -5*w + 5*f - 0. What is the remainder when t(1) is divided by (-2 - 2/2*-31) + w?
24
Let z = 31483 + -28815. Calculate the remainder when z is divided by 27.
22
Suppose 0 = -5*t, 5*v - 4*v + 3*t - 24 = 0. Suppose 0 = v*r - 29*r + 25. What is the remainder when 20/r*71/4 is divided by 15?
11
Let s(g) = 11466*g - 3223. What is the remainder when s(2) is divided by 28?
25
Let m be (0 + 4 - (-258)/(-18))*-42. Let y = m - 270. What is the remainder when y is divided by 31?
9
Calculate the remainder when 13/((-104)/(-63156))*4/6 is divided by 81.
79
Let n(s) = s**3 + 29*s**2 - 57*s - 194. Calculate the remainder when n(-30) is divided by 22.
0
Suppose -5*p = -36*t + 41*t - 15, -5*t = p + 5. Let d(f) = 4*f - 1. Calculate the remainder when p is divided by d(1).
2
Suppose 22*n - 23*n + 10 = 0. Let q(m) = -m**2 - 1 + 3*m**2 + 3 + 0 + n*m. Calculate the remainder when 95 is divided by q(-6).
11
Let v(a) = 6*a**2 + 6*a + 5. Let s(r) = r**3 - 20*r**2 + 20*r - 20. Let k be s(19). Calculate the remainder when 12 is divided by v(k).
2
What is the remainder when 34/10 + 56/(-14) + 24893/55 is divided by 83?
37
What is the remainder when 778 is divided by (-40 + 48)/((-2)/(-50))?
178
Let i(f) = -6*f - 161. Suppose 4*l + 66 + 62 = -5*t, 90 = -2*l + 4*t. Calculate the remainder when i(l) is divided by 22.
17
Suppose 4*t - 280 = d, -34*t + 5*d - 256 = -38*t. What is the remainder when t is divided by (-6)/(3/12 + -1)?
5
Let f be -1*1 - (-29 + 24). Suppose -f*z + 8*z - 8 = 0, 3*z - 7 = -a. Suppose 5 = v - a. Calculate the remainder when 22 is divided by v.
4
Let n(m) = m + 18. Suppose 5*b + 2 = -28. What is the remainder when 47 is divided by n(b)?
11
Let f = -2883 - -2997. What is the remainder when f is divided by 72?
42
Suppose -19*z = -18*z - 1, -4*z = -3*f + 2426. Calculate the remainder when f is divided by 51.
45
Suppose -k = 2*q + 9 - 20, q = -2*k + 19. Suppose -8*g = -k*g + 389. What is the remainder when g is divided by 17?
15
Let c = -3801 + 3816. What is the remainder when 2632 is divided by c?
7
Let x = -5132 - -5977. Calculate the remainder when x is divided by 33.
20
Let u = -279602 + 279605. Suppose -4*g = -0*g - 4*z - 60, g + 5*z = -9. What is the remainder when g is divided by u?
2
Let u = 1091 - 922. What is the remainder when 216 is divided by u?
47
Suppose 50*h + 20*h = 1034 + 646. Let d be 1 + -1 + -2 - 89. Calculate the remainder when d/(-2) - 3/6 is divided by h.
21
Let a = -190 - -193. Suppose 3*k - 40 - 371 = a*l, 2*k - 3*l = 270. What is the remainder when k is divided by 12?
9
Let h = 24 + -16. Suppose 0 = -h*x + 10*x - 6. Suppose -9 = x*v, -m - 5*v + 8 = -4*v. Calculate the remainder when 141 is divided by m.
9
Let x = -83 - -110. Suppose 27*j = 36*j - x. What is the remainder when 39 is divided by j?
0
Suppose -4*g + 2*h - 15 = -527, -3*h - 18 = 0. What is the remainder when 600 is divided by g?
100
Let g = -16921 + 19122. Calculate the remainder when g is divided by 130.
121
Suppose 0 = g - 10 - 0. Let z(v) = v**3 + 4*v**2 - 8*v + 29. Let u be z(-6). Calculate the remainder when u/((-45)/261)*-1 is divided by g.
9
Let b(v) = 72*v**2 + 2*v + 4. Let m be b(3). Suppose -148 = 6*o - m. What is the remainder when 48 is divided by -2*(3/6)/((-5)/o)?
14
Suppose 0 = 5*v + w - 143, -5*w - 2 - 8 = 0. Let l be (2 - -4)*(-5 + 150/36). What is the remainder when v is divided by (-624)/(-40) - (-2 - 13/l)?
14
Suppose 5*r - 55 = -0*r - 2*g, -5*g = 5*r - 40. Calculate the remainder when 56 is divided by 11*(-3 - 0)/(r/(-13)).
23
Let v = 245 - 139. Suppose -12*c + 334 - v = 0. What is the remainder when 75 is divided by c?
18
Suppose 703 = -77*d + 114*d. What is the remainder when 1155 is divided by d?
15
Let x(d) = d**3 + 9*d**2 + 6*d + 2. Let m be -4 + (6 + -10 - -4). What is the remainder when x(m) is divided by 35?
23
Let u = -264 - -261. What is the remainder when 48/(-32) + u/(6/(-217)) is divided by 29?
20
Let f be -8 - (-4)/8*(1 - -7). Calculate the remainder when (246 + -52)*(-1 - 1)/f is divided by 33.
31
Let b = -164 - -315. Suppose 15*o - b = -16. What is the remainder when 78 is divided by o?
6
Suppose 3*l - 8 = -j, 2*j + 3 = 1. Let m(n) = -l - 1 + 23 - 10*n. Calculate the remainder when m(-10) is divided by 30.
29
Suppose -s = -2*s + 62. What is the remainder when s is divided by ((-208)/24)/(2/(-3))?
10
Let l = -31702 - -32326. Calculate the remainder when 