ppose -610*o + 3*f = -609*o, 0 = o + f - 16. What is the remainder when 1747 is divided by o?
7
Let s(l) be the second derivative of 19*l**5/20 - 7*l**4/12 + l**3/6 - l**2 - 34*l + 1. What is the remainder when s(2) is divided by 46?
32
Let q be ((-18)/3 - (-1 + -2)) + 28. Suppose -q*k + 20*k + 725 = 0. What is the remainder when k is divided by 31?
21
Let k be -3 - 5/((-15)/(-126)). Let l(t) = -12*t**2 - 8*t - 16. Let u be l(-2). Let f = k - u. What is the remainder when 18 is divided by f?
0
Let b = -122 + 51. Let k = -50 - b. What is the remainder when (15*(-5)/45)/(1/(-24)) is divided by k?
19
Suppose r = 2*r - w - 474, -4*w = r - 494. What is the remainder when r is divided by 40?
38
Let k(o) = -11*o + 69. Let r be -2*1/(-10) + 620/(-100). What is the remainder when k(r) is divided by 28?
23
Suppose -2*c - 2976 = -50*c. Calculate the remainder when 14/35 - (4652/(-10))/2 is divided by c.
47
Let x(p) = p**3 + 16*p**2 - 19*p - 32. Let j be x(-17). Calculate the remainder when ((-6)/84*8)/(j/(-119)) is divided by 11.
1
Suppose 46*l = 42*l. Suppose l = -b + 23*b - 1452. Suppose 38 = -i + 4*i - 4*v, -i + 11 = -3*v. Calculate the remainder when b is divided by i.
10
Let a(m) = m**3 - 12*m**2 - 7*m - 18. Let j = -925 - -942. What is the remainder when a(13) is divided by j?
9
Let u(l) = l + 26. Let j be u(15). Let c = -35 + j. Suppose v - c*v = -205. Calculate the remainder when v is divided by 11.
8
Let f = 1669 + -1558. What is the remainder when 418 is divided by f?
85
Suppose -69 = -3*g - 0*g. What is the remainder when 89 is divided by g?
20
Let l = 2514 + -2331. What is the remainder when 699 is divided by l?
150
Suppose -5*t + 75 = -n, 5*t + 3*n - 70 = 5*n. Let c(g) = 17*g - 239. What is the remainder when 63 is divided by c(t)?
30
Let b be ((-13)/2)/((-10)/(-20)). Calculate the remainder when 58 is divided by (b + -11)*(-1)/2.
10
Calculate the remainder when ((-11)/(-3))/(20368/2544 - 8) is divided by 153.
124
Let h = -323 + 288. Calculate the remainder when 28 is divided by (37 + h)*(-54)/(-4).
1
Let h = -150 - -245. Let q be (-23)/((-115)/180)*19/(-2). Let p = 358 + q. Calculate the remainder when h is divided by p.
15
Let r = 110 + -106. Suppose -r*u - 2*x + 378 + 20 = 0, -193 = -2*u + x. Calculate the remainder when u is divided by 17.
13
Suppose -6*b + 14 = 2*u - 7*b, -u = -4*b. Calculate the remainder when 93 is divided by 97/3 + u + 154/(-21).
27
Let n = 31 - -16. Suppose -8*z + 32 = 2*r - 6*z, -n = -3*r - 2*z. What is the remainder when r is divided by (12/(-16))/(6/(-64))?
7
Let p be (-94)/(3*5/(-30)). Suppose 340 = p*a - 183*a. Calculate the remainder when 131 is divided by a.
63
Let c(g) = 8*g + 92. Let r = -520 - -1002. What is the remainder when r is divided by c(-6)?
42
Suppose c = -5*n + 752, 107*c - 110*c + 2272 = -n. Calculate the remainder when c is divided by 192.
181
Let q = 30759 - 30752. What is the remainder when 3673 is divided by q?
5
Let d(a) = -13*a + 96. Let q(g) = -g + 1. Let z(v) = d(v) - 2*q(v). What is the remainder when 249 is divided by z(4)?
49
Suppose -17 = -3*b + 2*n, -n + 10 = n. Suppose -538 = -3*y + 5*v, b*y - 7*y = -v + 337. What is the remainder when y is divided by 43?
42
Let x = -47 + 54. Suppose -x - 26 = -k. Calculate the remainder when (11 - 10) + (-387)/(-3) is divided by k.
31
Let g(y) = 8*y**2 + y + 6. Let i be -1 - 2 - (89 + -5 - 1). Let j = -83 - i. What is the remainder when g(j) is divided by 14?
11
Suppose 0 = -3*k + 3*y + 202 - 25, -3*y = -k + 57. Suppose -g - 2 - 120 = -4*d, -k = -2*d + g. Calculate the remainder when 54 is divided by d.
23
Let m be 0*(-9)/144*-8. Suppose 20*f - 14*f - 36 = m. Let a = 50 - 31. What is the remainder when a is divided by f?
1
Let g = -30 - -144. Suppose -5*v = 0, 2*p + 5*v - g = -8. What is the remainder when 208 is divided by p?
49
Suppose v - 194 = -4*h, -389*h = -392*h + 4*v + 174. What is the remainder when 496 is divided by h?
46
Let q = 181 - 197. Let i(k) = -k**3 - 17*k**2 - 17*k - 13. Calculate the remainder when 18 is divided by i(q).
0
Suppose -6*y - 587 + 785 = 0. Let t = 30 - 16. Calculate the remainder when y is divided by t.
5
Calculate the remainder when (-10*12/90)/(16/(-984)) is divided by 166/4 + (-3)/(-6).
40
Let y be (28/(-21))/(1/(-3)). Suppose 5*h - h + 520 = 5*w, 2*h = -y*w + 390. What is the remainder when w is divided by 18?
10
Suppose -3*h + 288 = 4*o, o + 2*h - 7*h - 49 = 0. Let w = o - 68. What is the remainder when w/((-52)/(-17) + -3) is divided by 6?
5
Suppose 4*p + 1422 = 3*d, 33*p - 29*p = -3*d + 1422. Calculate the remainder when d is divided by 25.
24
Suppose -27*m + k = -32*m + 3191, 3*m - 2*k = 1925. Calculate the remainder when m is divided by 35.
9
Let z be (4 - 75/20) + 118/8. Suppose z = 41*b - 38*b. Calculate the remainder when b is divided by 2.
1
Let c = -40870 - -41444. What is the remainder when c is divided by 36?
34
What is the remainder when (112 - -12) + (-4 - 0) is divided by (495/(-44) + 1/4)/(-1)?
10
Let s = -92 + 205. Suppose 19*j - 77 = s. Calculate the remainder when 10 is divided by j.
0
Suppose 0 = -2*a + 7*z - 5*z + 1520, -2*z + 3800 = 5*a. Suppose -6*r + a = 82. What is the remainder when r is divided by 25?
13
Let x(r) = -r**3 + 18*r**2 - 18*r + 23. Let q be x(17). Let l(b) = 3*b**3 - 17*b**2 - 5*b + 12. What is the remainder when 47 is divided by l(q)?
11
Let z(v) = v**3 + 5*v**2 - 130*v - 90. What is the remainder when 410 is divided by z(10)?
80
Suppose -2*k + 1592 = 3*g - 996, 3*g - 3*k - 2598 = 0. Suppose -11*v - v = -g. Calculate the remainder when v is divided by 5.
2
Suppose -3*n - 2*f + 63 = 0, -5*n = -3*f - 33 - 72. What is the remainder when (-8)/28 - 1166/(-14) is divided by n?
20
Suppose -5*n = 2*j + 1, -2*n - 9 = -5*j - 3*n. Suppose 2*z + 84 = j*i, -5*z + 20 = -9*z. Calculate the remainder when i is divided by 13.
11
Suppose -5*z = 28*m - 25*m + 1, 0 = 3*m - 5*z + 11. Let s(g) = 3*g**2 - 7*g - 15. Calculate the remainder when 53 is divided by s(m).
9
Let f = 1593 - 368. Calculate the remainder when f is divided by 10.
5
Let w(m) = m**2 - m + 4. Let y(k) = 3*k - 64. Suppose 0*f = -4*t - 3*f + 99, -f + 97 = 4*t. Calculate the remainder when w(-6) is divided by y(t).
6
Suppose 10*w + 155 - 1375 = 0. Calculate the remainder when 496 is divided by w.
8
Suppose 4 = -2*m + 2*c - 14, -m + 4*c = 12. Let v = -6 - m. What is the remainder when 57 is divided by 28 + -28 + 3*v?
3
Suppose 3*r - 85 = -5*a, 3*r - 8*r = 0. Let f be ((-48)/18)/(-3*6/513). What is the remainder when a is divided by ((-114)/f)/(-1*6/20)?
2
Let k(y) = -y**3 + 27*y**2 - 78*y - 1. What is the remainder when k(15) is divided by 254?
5
Suppose 0 = 2*v + 75 - 27. Let z = v - -66. Suppose i - 172 = -7. What is the remainder when i is divided by z?
39
Suppose 3*t = -3*u + 348, -5*t + 140 + 440 = -5*u. What is the remainder when 157 is divided by t?
41
Let v(a) = 12 - 169*a**2 + 168*a**2 - 1 - 8*a. What is the remainder when 36 is divided by v(-6)?
13
Suppose 5*a - 8*r = -4*r + 26, 3*r = -12. Suppose -a*o + 4*t = -536, -2*o - t + 542 = -2*t. Calculate the remainder when o is divided by 40.
32
Let n = -361 + 358. What is the remainder when 67 is divided by ((1 - -2) + -22)/(n + 2)?
10
Let n(s) = 3*s**2 - 13*s - 11. Let q be n(7). Let u = -34 + q. Calculate the remainder when 20 is divided by u.
9
Suppose 42 = 5*q + 4*a, -7*q + 9*q = 3*a + 3. Calculate the remainder when 115 is divided by (-4 - -12)/(4/q).
7
Let l(u) = 16*u + 219. Let h(o) = -5*o - 73. Let x(d) = -11*h(d) - 4*l(d). What is the remainder when x(-27) is divided by 35?
30
Calculate the remainder when (-2010)/(-25) - (-3)/(45/(-6)) is divided by -9 + 1/(-6)*-186.
14
Let c(s) = -60*s - 164. Let p be c(-9). Let j = p - 336. What is the remainder when j is divided by 14?
12
Let q = -17 + 114. What is the remainder when q is divided by ((-8)/(-3))/((-3664)/(-240) + -15)?
7
Let q(u) be the second derivative of -u**4/12 - 19*u**3/6 - 6*u**2 + 9*u. Calculate the remainder when q(-13) is divided by (-2)/(-3) + 441/27.
15
Let n(h) = 10*h**2 - 53*h + 55. What is the remainder when 57 is divided by n(1)?
9
Let g(p) = -19*p + 1557. Calculate the remainder when g(-83) is divided by 43.
38
Let p(a) = a**3 - 6*a**2 + 2*a - 8. Let l be p(6). Suppose -11 = 7*y + l*y. Calcu