at is the remainder when ((-17)/5 + 4)/(10/19400) is divided by 16?
12
Let l(o) = 0 - 44*o + 35*o - 51*o - 3. Suppose -8*z + 5*z - 7 = -2*i, -5*z = 15. Calculate the remainder when l(i) is divided by 10.
7
Let y = -16224 + 19485. What is the remainder when y is divided by 251?
249
Let j be (-8084)/282*(-9)/(-6). Suppose 0 = -4*d + 530 + 302. Let a = d + j. Calculate the remainder when a is divided by 24.
21
Suppose -2*f + 1 = 3*m, 3*f - 5*m = 6*f - 1. What is the remainder when (7 - 1253/(-14))*f is divided by 50?
43
Suppose -21914*u = -21902*u - 192. What is the remainder when 3962 is divided by u?
10
Let y(p) = -18*p + 106. Calculate the remainder when 99 is divided by y(5).
3
Let g = 13992 + -13746. What is the remainder when g is divided by 54?
30
Suppose 2*v - 130 = -120. Suppose 4*m + 0*m = v*t - 6, 0 = -t + 2. What is the remainder when (1 + -2)*-1 - -1 is divided by m?
0
Suppose -2*t = -3*x + 678, -x - 25*t = -26*t - 228. What is the remainder when 247 is divided by x?
25
Let g = -86 + 128. Suppose -n - 4*b = -27, 0*b = -2*n + 4*b + g. Calculate the remainder when n is divided by 13.
10
Let m(d) = 3*d + 36. Calculate the remainder when 1*73 + (-7)/7 is divided by m(-7).
12
Let u(d) = 318*d + 2886. Calculate the remainder when u(0) is divided by 25.
11
Calculate the remainder when (0 + 5)/(-7 + 8) is divided by 5.
0
Suppose 4*n = -20*c + 15*c + 3151, -4*n = -2*c - 3102. What is the remainder when n is divided by 39?
38
Let l = 51 + -22. Suppose 2*y = -0*y - c + 14, -3*y = 2*c - 23. Suppose 2*v + 5*z = 139, -19*z = y*v - 23*z - 430. What is the remainder when v is divided by l?
24
Let n(w) = -6*w**3 + 252*w**2 - w + 52. Let m = 297 - 255. What is the remainder when 30 is divided by n(m)?
0
Let r(f) = f - 9. Let o be r(6). Suppose 0 = 261*w - 188*w - 3942. Calculate the remainder when w is divided by 0*1/o + 29.
25
Suppose 16410 + 11476 = 191*s. Calculate the remainder when 690 is divided by s.
106
Let g(o) = 2*o**2 - 533*o - 7172. Calculate the remainder when 1234 + (1 - 4/2) is divided by g(-13).
93
Let c(x) = 2*x**3 - 13*x**2 - x + 1. Let n = -121 - -128. What is the remainder when 254 is divided by c(n)?
39
Let q = -1901 + 2292. Calculate the remainder when q is divided by 31.
19
Suppose 5*z + 4*m - 745 = 0, z + 3*z + 3*m - 597 = 0. Suppose -2861*k - 438 = -2867*k. Let x = z - k. Calculate the remainder when x is divided by 9.
8
Let f = 12065 + -11787. Let c(g) = 2*g**2 + 4*g - 2. Calculate the remainder when f is divided by c(3).
26
Suppose -d = 4*q + 40, -4*q - d = -q + 29. Calculate the remainder when 0 + (6/27 - (-78)/27*20) is divided by 1 - (2 - q/(-1)).
8
Let d(y) = y - 16. Let c be d(11). Let g = c - -36. Suppose -g = -7*f + 18. Calculate the remainder when 21 is divided by f.
0
Let r = -16585 + 16638. Calculate the remainder when 563 is divided by r.
33
Let p = 409 + -321. Calculate the remainder when p is divided by ((-108)/60)/(5/(-50)).
16
Let c = 4585 - 4435. What is the remainder when 899 is divided by c?
149
Let t(v) be the second derivative of 83*v**4/6 + 2*v**3/3 + v**2/2 + 9*v + 1. Suppose b - 2*b + 55 = 0. Calculate the remainder when t(-1) is divided by b.
53
Let w(m) = -m**3 + 55*m + 29. Calculate the remainder when 1474 is divided by w(-10).
37
Let m(n) be the third derivative of 7*n**5/10 - n**4/24 - n**3/6 - 3843*n**2. Let r = 3 + -2. What is the remainder when m(r) is divided by 15?
10
Let x = -19182 + 19213. Calculate the remainder when 237 is divided by x.
20
Let f(s) = -2*s**2 + 16*s + 44. Calculate the remainder when 152 is divided by f(9).
22
Suppose 13*b - 2575 - 3055 = 20656. Calculate the remainder when b is divided by 25.
22
Let t = -11899 + 12026. Calculate the remainder when t is divided by 86*1*5/10.
41
Let g(y) be the first derivative of y**2/2 - y + 6. Let q(v) = -v**3 + 5*v**2 - 3*v + 2. What is the remainder when q(4) is divided by g(4)?
0
Let d(m) = -3*m**3 - 85*m**2 + 54*m - 99. Let f = 265 + -66. Calculate the remainder when f is divided by d(-29).
12
Let q(y) = -y + 17. What is the remainder when ((-2022)/(-4))/((-27)/(-18)) is divided by q(-17)?
31
Let t(a) = 3*a**3 + 75*a**2 - 196*a - 63. What is the remainder when t(-27) is divided by 85?
5
What is the remainder when 245 - (-21)/(-6)*((-180)/35)/(-3) is divided by 16?
15
Let g(x) = -x**3 - 3*x**2 + 7*x + 7. Let c be g(-6). Calculate the remainder when 590 is divided by (6 + -7 - -2) + c.
72
Let k = 768 - 372. Let c(h) = 58*h**3 + 52*h**2 - 28*h - 25. What is the remainder when k is divided by c(1)?
54
Let z(n) = -40*n + 20. Let u be z(5). Let c = 438 + u. What is the remainder when c is divided by 52?
50
Let l(o) = -333*o - 988. What is the remainder when 202 is divided by l(-3)?
4
Suppose 2*o + 32 = 42, -o = -2*n + 39. What is the remainder when 498 is divided by n?
14
Suppose 5*o + 5*p - 60 = 0, 0 = -5*o + 2*p + 50 + 24. Calculate the remainder when o is divided by (-25 - (16 + -38)) + (-2 - -9).
2
Suppose 0 = -4*p + z + 3682, 3*p - 2776 = 5*z - 23. What is the remainder when p is divided by 377?
167
Let n(h) = -h**3 - 156*h**2 + 316*h + 8. Let z(t) = -2 - 4*t**2 - 3*t - 1 - t**3 + 4*t**2 - 3*t**2. What is the remainder when z(-5) is divided by n(-158)?
6
Suppose 45 = 5*c, 6*c = -9*r - 9*r + 16*r + 122. What is the remainder when r is divided by (6/(-15))/((-2)/10)?
0
Let p = -866 + 1008. Calculate the remainder when p is divided by ((-165)/75)/((-2)/(-10)*-1).
10
Suppose 0*f = 3*f + 2*h - 62, 10 = -2*h. Let o(i) = i**2 - 7*i + 46. Let q = 70 - 70. What is the remainder when o(q) is divided by f?
22
Suppose 43*f - 4648 - 3636 = -1748. Let i(x) = -x**2 + x + 11. What is the remainder when f is divided by i(0)?
9
Let i(h) = -1 - 54*h - 10 + 47*h - 12. What is the remainder when 34 is divided by i(-6)?
15
Suppose 0 = -3*n - 5*v - 19, -n - 7*v = -3*v + 18. Let m(i) = 2*i**3 - i**2 - 4*i. Let q be m(n). Calculate the remainder when 4 is divided by 2/q + 65/26.
1
Suppose -5*x + j + 22 = 0, x = -3*j + 8*j + 14. Suppose -x*w + 26 = -5*t + 6*t, 3*w = -3*t + 123. What is the remainder when t is divided by 28?
18
Suppose 6*o - 68 = 130. Let f = o - 31. Suppose -l - 49 = -f*c, -2*l + 7*l = c - 47. What is the remainder when c is divided by 8?
6
Suppose 4*z - 2*h + 4*h = 232, 5*z + 5*h - 290 = 0. Calculate the remainder when 186 is divided by z.
12
Let m be (-300)/(2*1) - (129 + -128). Let h = 165 + m. Calculate the remainder when 35 is divided by h.
7
Let j(g) = 3*g**2 + g + 3. Calculate the remainder when ((-2)/(-4)*-519)/((-4302)/2868) is divided by j(3).
8
Suppose 49*v = 44*v - 2*l + 9970, 3*v + 4*l - 5996 = 0. What is the remainder when v is divided by 15?
12
Let j = 6102 + -6094. Suppose 4*f + 3*k - 66 = k, -4*f + 51 = -3*k. What is the remainder when f is divided by j?
7
Suppose 4*l + 10 + 388 = 2*s, -4*s + 4*l = -792. What is the remainder when s is divided by 64?
5
Suppose 0 = -5*a + 8*x - 9*x + 22, 0 = -4*x - 12. Suppose -2*f = -a*n - 29, -5*n - 2 = -3*n. Calculate the remainder when 107 is divided by f.
11
Suppose -45*x - 15092 = 4*x. Let y = x + 695. What is the remainder when y is divided by 30?
27
Suppose 35 = -5*i, 3*u - 5*i + 0*i - 5693 = 0. Calculate the remainder when u is divided by 61.
56
Let p(g) = -25*g + 596. What is the remainder when p(6) is divided by 9?
5
Let f(q) = 26*q**2 - 373*q - 187. Calculate the remainder when 475 is divided by f(15).
67
Let k = 8889 + -8846. What is the remainder when (45/(-20))/(1/(-52)) is divided by k?
31
Suppose -u - 5*y = 4336 - 4453, -2*u + 114 = -5*y. Calculate the remainder when 828 is divided by u.
58
Calculate the remainder when 1 + 8 - (0 + 1)*-9627 is divided by 23.
22
What is the remainder when 249 is divided by 464/7 + 540/315?
45
Let x be 200/(-16)*192/15. Calculate the remainder when x*8/(-16) + 6 is divided by 19.
10
Let t(z) = -29*z - 7. Calculate the remainder when 336 is divided by t(-5).
60
Let v(o) = o + 3. Let c be v(0). Suppose -2*r + c*r - 14 = 0. Suppose 30*n - 34*n = -5*q + 67, -5*q + n = -88. What is the remainder when q is divided by r?
5
Suppose 342*t - 347*t = -25. Suppose 6*x - 5*k + 49 = 8*x, -t*k - 70 = -5*x. What is the remainder when x is divided by 3?
2
Suppose 15*g + 1309 = 32*g. Calculate the remainder when g is divided by (-63)/(-378) + (-35)/(-6) + -1.