remainder when 76 is divided by f?
24
Let i(z) = -z**3 + 8*z**2 + 13*z - 31. Let v be i(9). Suppose -v*o = -4*r - 454, -11 = -4*r + 5. Calculate the remainder when o is divided by 34.
26
Let z(i) = -i**3 + 14*i**2 + 181*i - 4. What is the remainder when 710 is divided by z(-9)?
20
Suppose -2*l - 31 = -x + 19, 101 = 2*x - 5*l. Suppose 26*q = 20*q + 216. Calculate the remainder when 51 is divided by (-166)/(-8) - q/x.
11
Let f(x) = 4*x**3 + 42*x**2 + 16*x - 16. What is the remainder when 909 is divided by f(-10)?
21
Let m be -1 - (-113 + -2)*1. Suppose 14*t = 296 - m. Calculate the remainder when 62 is divided by t.
10
Suppose -396*u + 399*u = -5*m + 9, 5*u + 2*m = 15. Calculate the remainder when 562 is divided by u.
1
Suppose 0 = 2*x + 4*p - 2932, 3*p = 4*x - p - 5852. Suppose -58*b = -52*b - x. What is the remainder when b is divided by 7?
6
Suppose -3*q - 2318 = -2*k - 7741, 4*q + 2*k - 7254 = 0. What is the remainder when 3627 is divided by q?
5
Suppose 0 = 2*h - 96 + 18. Suppose 0 = 19*o - 12*o + 14. What is the remainder when h is divided by (-170)/153*18/o?
9
Calculate the remainder when 4/14 + (-1004)/(-14) is divided by -30*30/54*(-42)/28.
22
Suppose -3*i - 54 = -294. Suppose 8*d - 1366 = -118. What is the remainder when d is divided by i?
76
Suppose -10 = 5*y, -2*h = 6*y - 2*y - 5536. What is the remainder when 63 is divided by (2/6)/(33/h)?
7
Suppose -79 = -2*c + 5*o, -c + 42 = -34*o + 29*o. What is the remainder when 304/6 + 4/(-6) is divided by c?
13
Let a(i) = -68 + 11*i**2 - 5*i**2 - i**2. Calculate the remainder when a(7) is divided by 45.
42
Let r be (-5 + 3 - -2) + (-5 - 11). Let o(x) = x**3 + 15*x**2 - 20*x - 25. What is the remainder when 157 is divided by o(r)?
1
Let s(m) = -784*m - 5375. What is the remainder when s(-22) is divided by 25?
23
Let y = -17 + -21. Let t = 65 + y. Let u(f) = 8*f + 1. What is the remainder when t is divided by u(1)?
0
Calculate the remainder when ((-5)/3)/(354795/22176 - 16) is divided by 104.
96
Suppose -p - 5*d - 3 = 0, 0 = -3*d - 3. What is the remainder when 60 is divided by -111*(-2)/24*8/p?
23
Let w = -163 - -168. Suppose -87 = -d - 0*d + 4*r, -w*r = -2*d + 162. What is the remainder when d is divided by 7?
1
Let m = -27 - -56. Suppose -6*i + m = -55. Suppose 2*f - f = x - i, -5*f = 15. Calculate the remainder when 51 is divided by x.
7
Let b be -11 + -8 + 9 + 4 + -2. Let l(s) be the second derivative of s**4/12 + 5*s**3/6 - 15*s**2/2 - 3*s. Calculate the remainder when 29 is divided by l(b).
2
Suppose 0 = 2*l - 125 - 1. Suppose l = 3*t - 3*f, -5*f - 5 = -10*t + 9*t. What is the remainder when 59 is divided by t?
9
Let d(v) = v**3 - 8*v**2 + 3*v - 8. Suppose -3*s = 2*o - 150 - 175, -3*o + 492 = 3*s. Let w = -161 + o. What is the remainder when d(8) is divided by w?
4
Let h(m) = -m**2 - m. Let n(w) = w**3 + 12*w**2 + 6*w + 13. Let r(c) = -h(c) - n(c). What is the remainder when r(-11) is divided by 11?
9
Suppose 597 + 2553 = -10*k. Let i = k - -424. What is the remainder when i is divided by 8?
5
Suppose a + 8*r = 11*r + 429, 0 = a - 4*r - 433. Calculate the remainder when a is divided by 115.
72
Suppose 0 = 5*o + 5*a - 120, -24 = -o - a - 3*a. Suppose -u + o = 3*u. Let p(v) = v**2 - 291*v + 13523. Calculate the remainder when p(58) is divided by u.
3
Let g be 1 - 6 - (5 - 6). Let h be (4 + (g - -3))/1. Let r(n) = 3*n**3 - 5*n**2 + 3*n - 3. Calculate the remainder when 81 is divided by r(h).
39
Let y(j) = 10*j**2 - 202*j - 16. What is the remainder when y(28) is divided by 26?
10
Let h(b) = 6*b**2 + 103*b + 486. Calculate the remainder when 317 is divided by h(-5).
75
Suppose -2*g - 89 = -w - 144, g - 4*w - 38 = 0. Calculate the remainder when 11593 is divided by g.
23
Suppose 0 = -30*k + 14*k + 48. Suppose 5*c + 5*s = 185, s + k*s = -8. Let l = 44 - 29. Calculate the remainder when c is divided by l.
9
Suppose -4*y + 3*p = -3*y + 11, y = 5*p - 1. Let c be (y/8)/(7 + 1348/(-192)). Suppose c = -n + 4*n. What is the remainder when n is divided by 18?
16
Let u(o) = 5*o**2 - 108*o + 258. Suppose 3*x + 3*s = 4*x + 32, 5*x - 5*s = -150. What is the remainder when (6/(-3) - x)/1 is divided by u(19)?
5
Let n be (952/(-102))/(4/(-162)). Suppose 48*k = 54*k - n. Suppose 0 = v + 12 - 45. What is the remainder when k is divided by v?
30
Let r = -173 + 351. Suppose -39 = -7*g + r. Calculate the remainder when 100 is divided by g.
7
Let q = -268 - -438. Let a = 180 - q. Calculate the remainder when 58 - (2 + 2/(-1)) is divided by a.
8
Suppose 102*b - 106*b = 2*h - 108, 3 = -b. Let g(q) = -q**3 + 11*q**2 + 7*q + 3. Calculate the remainder when g(11) is divided by h.
20
Let p(u) = -10*u**2 + 27*u + 1. What is the remainder when 2394 is divided by p(2)?
9
Suppose -3*w + 65 - 35 = p, -4*w = -2*p + 110. What is the remainder when 640 is divided by p?
10
Suppose 24 + 75 = 2*x - 3*n, -5*n + 5 = 0. Calculate the remainder when 1069 is divided by x.
49
Let a = 221 + -269. What is the remainder when 12/a + 0 + (-1683)/(-12) is divided by 48?
44
Let s(g) = -74*g**3 + 3*g**2 - 4*g - 2. Let f be s(-3). What is the remainder when f/25 - (-4 + (-132)/(-30)) is divided by 15?
6
Let a be (-3 + 0)*1 - -38. Let m = -34 + a. Let w(p) = 36*p + 3. What is the remainder when 154 is divided by w(m)?
37
Let m be 2/(-14) + 10365/35. Suppose 3*z + m - 143 = 0. Let g = 136 + z. Calculate the remainder when g is divided by 18.
13
Suppose -20 = r - 13. Let k(d) = -19*d - 125. Calculate the remainder when 29 is divided by k(r).
5
Let p(t) be the second derivative of -7*t**3/6 + 17*t**2/2 + 13*t - 2. Calculate the remainder when p(-4) is divided by 16.
13
Let i(f) = f**2 - 83*f + 838. Calculate the remainder when 363 is divided by i(9).
19
Let l = 1931 - 1923. Calculate the remainder when 79 is divided by l.
7
Calculate the remainder when 943 is divided by (8 + (-225)/18)*-42.
187
Suppose -9*b + 90 = 6*b. Suppose 10*o = 154 + b. What is the remainder when 27 is divided by o?
11
Suppose l - 644 = -4*n, 4887*n + 3*l = 4882*n + 805. What is the remainder when n is divided by 2/(-8) - 218/(-8)?
26
What is the remainder when 767 is divided by (19/7 + -1)/(1110/3885)?
5
Let j(k) = -k**3 - 9*k**2 - 3*k + 12. Let l be j(-9). Let u = l - -3. Let n = u - 29. What is the remainder when 38 is divided by n?
12
Suppose k - 4 = -2*h - 2, 5*h = -5. Suppose -r + 23 = -k*n + 163, -5*n - 5*r = -200. What is the remainder when n is divided by 15?
6
Let j = 10585 + -7170. What is the remainder when j is divided by 190?
185
Suppose -5*m = 4*x - 196, -185 = -290*x + 287*x + m. Calculate the remainder when 1442 is divided by x.
26
Let a(u) = u + 13. Let n(b) = -b - 26. Let y be n(-13). Let l be a(y). Suppose l*g - 38 = -g. Calculate the remainder when 148 is divided by g.
34
Let q(h) = h**2 - 3*h - 1. Let b be q(0). Calculate the remainder when 13660/30 - b - (-8)/(-6) is divided by 24.
23
Suppose 27*r = 128*r - 1152 - 17533. What is the remainder when 362 is divided by r?
177
Suppose 52*h + 1815 - 2959 = 0. Calculate the remainder when 108 is divided by h.
20
Let t = 10365 + -10316. Calculate the remainder when 10924 is divided by t.
46
Let m = -646 + 1116. Let w = m - 424. What is the remainder when 176 is divided by w?
38
Let i = -493 + 536. Suppose 38*l = -k + i*l + 158, 0 = -5*k - 4*l + 877. What is the remainder when k is divided by 53?
14
Suppose -3*q - 66 = -6. Let x = -21 - q. Let k(h) = -29*h. What is the remainder when 86 is divided by k(x)?
28
Let s(c) = -83*c - 351. Calculate the remainder when s(-12) is divided by 2.
1
Let h(t) = -9 + t**2 - 16*t + 12 + 5*t + 0*t**2. Suppose -x = 4*v - 94, -2*x = 2*v + 2*v - 196. What is the remainder when x is divided by h(12)?
12
Let j(n) = 5*n + 780. Calculate the remainder when j(-104) is divided by 129.
2
Suppose 0 = 5*v - 15, -46 = -t - t + 4*v. Let x = t - -13. What is the remainder when x is divided by 27?
15
Let s(w) = 28*w**2 + 335*w - 1025. Calculate the remainder when s(3) is divided by 5.
2
Let t(j) = -j**2 - 28*j + 112. Let f(v) = -2*v + 1. Let n(i) = -2*f(i) - t(i). What is the remainder when n(-36) is divided by 16?
14
Let y be (-34)/((4/(-6))/(28/21)). Let q = y + -95. Let g = 8 - q. Calculate the remainder when g is divided by 19.
16
Let i(l) = -2*l**3 - 315*l**2 - 774*l + 233. Calculate t