ded by 3?
1
Let f(o) be the second derivative of 0 - 1/6*o**3 + 5/6*o**4 + 3/2*o**2 - 7*o. What is the remainder when f(2) is divided by 7?
6
Let g = -1742 - -2758. What is the remainder when g is divided by 34?
30
Calculate the remainder when (0 + 644/(-4))/((9 + -5)/(-40)) is divided by 54.
44
Suppose 2*y + 114 = 3*y. Suppose -41*q + 1351 = 572. Calculate the remainder when y is divided by q.
0
Suppose -4*j = 5*q - 2495, -13*q + 14*q - 4*j = 475. Calculate the remainder when q is divided by 191.
113
Suppose 0 = c + 3*d - 109, 3*d = 689*c - 694*c + 533. Calculate the remainder when c is divided by 38.
30
Suppose 96*u - 93*u = 480. Let n(b) = 2*b**2 + 9*b + 9. What is the remainder when u is divided by n(-6)?
25
Let l = -24 + 22. Let n(m) = 4*m**2 + 4*m - 2. Calculate the remainder when -10 + 9 + (-1 - -25) is divided by n(l).
5
Let b(h) = h**3 - 15*h**2 - 82*h + 1603. What is the remainder when b(20) is divided by 654?
1
Let w = 16 - -21. Let b be (3 + -2)/(-3 + (-64)/(-20)). Calculate the remainder when w is divided by (b + -4)/((-2)/(-28)).
9
Let y = -8356 - -8364. Suppose 5*r = 410 - 20. Calculate the remainder when r is divided by y.
6
Suppose -10*m = -12*m + 218. Let i = 187 - m. Suppose -5*j - i = -233. Calculate the remainder when j is divided by 17.
14
Let x = -3 - 0. Let i(s) = -s**2 - 485*s + 17699. Calculate the remainder when i(34) is divided by (x/(-6))/((-1)/(-22)).
9
Let a(q) = -42 - 40*q + 19*q - 8*q - 21*q - 48. Calculate the remainder when a(-5) is divided by 46.
22
Suppose 0 = -2*x - 13*x + 135. Let s(y) = -2*y**2 + 28*y - 1. What is the remainder when s(x) is divided by (-1)/(-3) + 204/9?
20
Suppose -2*p + 2*l + 10 = 0, p + 3*l + 4 = l. Let s(d) be the third derivative of -d**4/24 + 7*d**3/6 - d**2. Calculate the remainder when s(4) is divided by p.
1
Let u = -4 + 19. Let l be 9 + 21/(-2) - 14/(-4). What is the remainder when 1360/(-255)*(1 + (-29)/l) is divided by u?
12
Suppose -41*w + 74*w = 5247. Suppose 4*v = -31*h + 33*h + 66, -4*v - 4*h + 84 = 0. What is the remainder when w is divided by v?
15
Suppose 87*m - 2058 = -60*m. What is the remainder when 349 is divided by m?
13
Suppose 2*r + r - p - 223 = 0, 3*p = -r + 71. Suppose -4*h + 8 = 0, 4*f + h - r = 4*h. Suppose -1 = -3*i + f. What is the remainder when 17 is divided by i?
3
Suppose 5*b + 288 = 3*d, -4*b = -3*d - 5*b + 288. Suppose -4*k - 74 = -2*t - 26, -3*t - 2*k = -d. What is the remainder when 416 is divided by t?
26
Let y(x) = 2*x**2 - 5*x. Let v be ((-4)/(-3))/((-8)/(-12)). Suppose v*i + 26 = 3*i. Calculate the remainder when y(-6) is divided by i.
24
Suppose 0 = -6*k - 5*k + 55. Suppose -k*s - 198 = -11*s. What is the remainder when s is divided by 17?
16
Let o = 120 - 90. Calculate the remainder when 0 + 626/o + 68/510 is divided by 7.
0
Let j = 1262 + 7928. What is the remainder when j is divided by 26?
12
Let p(d) = -d**2 - 9*d + 16. Suppose 220 = -s + 354. Calculate the remainder when s is divided by p(-6).
32
Suppose -61 + 66 = -2*b + 5*a, b + 3*a = 14. Let f(d) = -11*d**2 - 4*d - 5. Let o be f(-2). Let g = 59 + o. Calculate the remainder when g is divided by b.
3
Let j(i) = -550*i - 7587. What is the remainder when 485 is divided by j(-14)?
33
Suppose -23 = -12*a + 1. Suppose -h - 57 + 152 = 2*q, -a*q + 3*h = -107. What is the remainder when 145 is divided by q?
47
Suppose -6*r = -4*r. Suppose -2*l + 0*l + 3*l = r. Suppose -4*u - u + 230 = l. What is the remainder when u is divided by 12?
10
Suppose 612*g + 205 = 615*g - 4*r, -3*r + 332 = 5*g. Calculate the remainder when 1335 is divided by g.
62
Suppose -222 + 145 = 7*k. What is the remainder when -2 - 210/(-3) - (k + 5) is divided by 23?
5
Suppose 85 = 2*h + 3*h. Let m be 3/(212/108 - 2). Calculate the remainder when ((-5)/1)/(9/m) is divided by h.
11
Let t be (-576)/27 + 4/(-6). Let c = 32 + t. Suppose 5*f - 4*l - 98 = 0, 5*f - 35 = -3*l + 49. Calculate the remainder when f is divided by c.
8
Let h(f) = f**2 + 14*f + 59. Let p be h(-6). Suppose -4*l + 5*l = p. Calculate the remainder when 27 is divided by l.
5
Let r be 6 + -3 + (-129)/(-3) + 3. Suppose r*q - 59*q = -170. Calculate the remainder when 63 is divided by q.
12
Let o be 113/2 + (5 - 44/8). Suppose -q + o = 14. Let w = 54 - q. Calculate the remainder when 58 is divided by w.
10
Suppose -76*x = -3490 - 4946. Calculate the remainder when x is divided by 56.
55
Let m = 146 + -98. Calculate the remainder when m is divided by (-123)/(-7) - (3335/(-203) - -17).
14
Let p = -216 - -31. Let i = p - -237. Suppose 4*m - 5*m = -21. Calculate the remainder when i is divided by m.
10
Let c(u) = -u**2 + 15*u + 11. What is the remainder when 1238 is divided by c(0)?
6
Let o be (-1)/(2/19 + (-175)/1843). What is the remainder when (-9)/(45/(-35)) - o is divided by 27?
23
Suppose 2*m - 106 = -u, 0 = u - 56*m + 53*m - 101. Suppose 13*r - 11*r - 76 = 0. Calculate the remainder when u is divided by r.
28
Let h(v) = -12 + 14 - 1 - 35*v - 7*v - 5. Let b = 4 + -7. Calculate the remainder when h(b) is divided by 31.
29
Let i(g) = -g**3 - 2*g**2 + 2*g + 3. Suppose 0 = -12*o + 11*o - 2*n - 2, 5*o = -4*n + 38. Calculate the remainder when i(-5) is divided by o.
12
Let s(y) = y**3 - 56*y**2 - 49*y - 445. Suppose 0 = -o + 4*o - 2*p + 58, -2*o - 3*p = 56. Let j = o - -65. What is the remainder when j is divided by s(57)?
10
Suppose -j - 2 = 13. Let r be 1*4 - (-5)/(j/(-93)). Let z = r - -22. Calculate the remainder when z is divided by 15.
12
Let l(h) = 108*h**3 + h**2 - 6*h - 7. Let f be l(-1). Calculate the remainder when (-12)/f - 1131/(-27) is divided by 15.
12
Suppose -420 = -5*g + 5*l, 3*g = 5*l - 7*l + 257. Suppose 0 = -5*w - 4*i + i + 72, -2*w + 3*i = -33. Calculate the remainder when g is divided by w.
10
Let r = -20 + 215. Suppose r*f - 190 = 190*f. What is the remainder when f is divided by 15?
8
Let s(f) = f**3 + 7*f**2 - 11*f - 11. Let z = -100 - -109. What is the remainder when s(-8) is divided by z?
4
What is the remainder when (557 + 12 + 0)*3 is divided by 66?
57
Suppose -2*r + 32 + 402 = -2*g, 0 = -4*r - 5*g + 814. What is the remainder when r is divided by (-3)/(-1 - (-34)/36)?
49
Suppose 0 = n + 4*n - 1840. Let r = n + -361. Calculate the remainder when 13 + (1 - 2)*1 is divided by r.
5
Let v be (-3)/9*72/(-2). Suppose 2701 - 769 = v*l. What is the remainder when l is divided by 33?
29
Suppose 0 = 332*x + 2328 - 3988. What is the remainder when (2 + 22/(-8))*-20 is divided by x?
0
Suppose -3*q - 16 = 4*j + 5, 5*j + 3*q + 24 = 0. Let o be (1 - 0) + j + -28. Let x = o - -77. What is the remainder when x is divided by 12?
11
Let y = -1670 + 958. Let v = y + 771. Calculate the remainder when 169 is divided by v.
51
Let a(m) = m**2 + 6*m - 69. Let t be a(6). Suppose t*f = k - 14, -4*f = 5*k - 7 - 6. What is the remainder when 18 is divided by k?
3
Let r be (-316)/(-26) - (63/(-13) + 5). Suppose -o - r*j + 11 = -13*j, 2*j = -5*o + 55. Let y = -130 - -184. Calculate the remainder when y is divided by o.
10
Let m(a) = a**2 - 8. Let b = 201 + -180. What is the remainder when m(6) is divided by b?
7
Let h(l) = -l**3 - 26*l**2 - 25*l + 30. What is the remainder when 5309 is divided by h(-25)?
29
Let p = 837 - 744. Calculate the remainder when 532 is divided by p.
67
Suppose -g = 6*g - 91. Let c = -10718 + 10805. Calculate the remainder when c is divided by g.
9
Suppose 0 = -3*m + 70 + 2. Suppose -3 = 2*t + o, -10 + 8 = -2*t - 2*o. Let i(x) = -x**3 - 3*x**2 - 11. What is the remainder when m is divided by i(t)?
4
Let a(h) = 2*h**3 + 24*h**2 + 2*h + 7. Calculate the remainder when a(-7) is divided by 81.
78
Let g(d) = 2*d - 1. Let n be g(12). Let s be (n/(-2))/((-7)/(-14)). Let w = 58 + s. Calculate the remainder when w is divided by 21.
14
Suppose -4 = -q, 5*q - 35 = -4*b - 3. Let c(k) = -32 - b*k + 4*k + k**2 + 30. Calculate the remainder when c(-3) is divided by 3.
1
Suppose -55 = -s - i - 0*i, 3*s + i = 165. Suppose -5*l + o + s = 0, -l - 4*o - 28 = -5*l. What is the remainder when 27 is divided by l?
3
What is the remainder when ((-1995)/70)/(7/(1148/(-6))) is divided by 17?
14
Let l(f) = 2*f**2 + 3*f - 4. Suppose 56*r = 85*r - 377. Calculate the remainder when l(-4) is divided by r.
3
Suppose 16*k - 8 = 18*k. Let g be -453*((-33)/(-9) + k). Let m = g