ded by k.
0
Let g = -1806 + 1823. Let j be -1 - (2 + (1 - 6)). Suppose 4*h - 4*w - 152 = -24, j*h - 64 = -w. What is the remainder when h is divided by g?
15
Let z = -152 + 232. Calculate the remainder when 88 is divided by (-208)/(-7) - z/(-280).
28
Suppose -3*y + 269 = 4*m + 31, 0 = 5*m - 4*y - 282. Suppose 70 + m = 2*c. Calculate the remainder when c is divided by 11.
9
Let y(n) be the first derivative of -3*n**2/2 + 36*n - 39. Calculate the remainder when y(-15) is divided by ((-14)/6)/(1/(-9)).
18
Let i(f) = 24*f**3 - f**2 + 4*f - 3. Let a be (-3)/21 + 4/28. Let c(t) = t**3 + t**2 + 2. Calculate the remainder when i(1) is divided by c(a).
0
Let y(s) = -8*s**3 + 7*s**3 + 0*s - s + 1. Let u(g) = -5*g**3 + 3. Let c(w) = u(w) - 4*y(w). Calculate the remainder when 110 is divided by c(-3).
12
Suppose -5571*f + 5584*f = 8359. What is the remainder when f is divided by 38?
35
Suppose 4*q - n = 15293, 10*q - 23*n = -18*n + 38245. Calculate the remainder when q is divided by 9.
6
Let y(w) = 2*w**3 + 12*w**2 - 6*w - 4. Let r = -9 + 21. Calculate the remainder when y(-3) is divided by r.
8
Let i(p) = -67*p - 919. What is the remainder when 134*(3/3)/2 is divided by i(-14)?
10
Suppose 7*l - 248 - 256 = 0. Let j = -57 + l. Suppose j*w - 9*w = 600. Calculate the remainder when w is divided by 21.
16
Let m be ((-20)/16)/(6/(-24)) - -165. Suppose -79*y + 89*y - m = 0. Calculate the remainder when y is divided by 3.
2
Let a(y) = -45*y + 617. What is the remainder when 137 is divided by a(13)?
9
Suppose 2*r + 49*c - 57 = 48*c, -145 = -5*r - 5*c. What is the remainder when 459 is divided by r?
11
Let c(i) = i**3 + 11*i**2 - 17*i - 2. Suppose -33 = 3*t - u, -3*u - 41 - 16 = 4*t. Calculate the remainder when 229 is divided by c(t).
55
Let l = -648 - -704. Suppose 7*b + j = 9*b - l, 8 = -4*j. Calculate the remainder when 64 is divided by b.
10
Let k = 12479 - 12192. What is the remainder when k is divided by 13?
1
Suppose 1898*c + 24696 = 1940*c. What is the remainder when c is divided by 84?
0
Calculate the remainder when 700 is divided by ((-14)/56*59)/(1/(-8)).
110
Let x(v) = 113*v - 159. What is the remainder when x(2) is divided by 28?
11
Let d be -3 + 108 - (-1 + 5). Let p = 171 - d. Suppose -5*q - 3*s = -128, q - 2*q + 30 = 5*s. Calculate the remainder when p is divided by q.
20
Let w be 32 + (3 + 0 - 5). Let b = 70 - w. What is the remainder when 76 is divided by b?
36
Let y(l) = 9*l**2 + 29*l + 59. Let w(u) = 11*u**2 + 28*u + 56. Let k(f) = -4*w(f) + 5*y(f). Calculate the remainder when 68 is divided by k(-31).
5
Let h(s) = -5*s + 1. Let v = 699 + -698. Let k(g) = 113*g - 62. Calculate the remainder when k(v) is divided by h(-1).
3
Let u be 2*14*(-30)/(-24). Let l(p) = p**3 - 34*p**2 - 34*p - 16. Calculate the remainder when l(u) is divided by 7.
5
Let j(x) = -15*x + 1. What is the remainder when (320/(-40) - -64 - -7*(0 + -1)) + 1 is divided by j(-2)?
19
Let m be (108/(-8))/(21/(-56)). Suppose 4*x = 4*n - m, -2*n - x = -21 - 6. What is the remainder when 142 is divided by n?
10
Suppose -f + 2*i - 26 + 36 = 0, 5*f - 8 = -4*i. Suppose -d + f*o + 17 = 0, -5*o + 2 - 32 = -3*d. Calculate the remainder when 15 is divided by d.
0
Let d(u) = 3*u + 7. Let x be 9 + (61 - -1) - (-2 + 0). Let q = -61 + x. What is the remainder when d(5) is divided by q?
10
Suppose 4*k - 58 = 2*p, 2*k = -p + 3*p + 24. Let a = -153 + 237. What is the remainder when a is divided by k?
16
Suppose 28*t + 15*l = 23*t + 5, 2*t - 10 = -2*l. What is the remainder when 0 + (-1 - -1) - -40 is divided by t?
5
What is the remainder when ((-12)/15)/(2/(-90)) is divided by -48*(3198/117)/(-41)?
4
Let r = -17 + 20. Suppose r*w - 15 + 15 = 0. Calculate the remainder when 9*(w + (-8)/(-6)) is divided by 5.
2
Suppose 3*u = y + 26, 7*u - 6*u + 3*y + 8 = 0. What is the remainder when ((-6052)/(-238))/(1/u) is divided by 10?
8
Suppose 0 = -19*z - 114300 + 1282630 + 352411. What is the remainder when z is divided by 131?
129
Suppose 0 = a + 3*x - 26, 4*x - 5*x + 5 = 0. Suppose 0 = 5*f - a - 39. What is the remainder when f is divided by (0 - 2/2) + 5 + 3?
3
Suppose 105*s - 40*s - 590 = 385. What is the remainder when 529 is divided by s?
4
Suppose 0 = -3*s - 15, -b + 823 = 3*b - 3*s. Let l = 259 - b. Calculate the remainder when 168 is divided by l.
54
Suppose 0 = -t + j + 295, -t + 4*j + 179 = -137. Calculate the remainder when t is divided by 10.
8
Let h(t) = -8*t + 107. Suppose -2*r - 4 = -22. Calculate the remainder when h(r) is divided by 6.
5
Let o be -6 + 3 - (-45)/(6/2). Suppose o*t = -0 + 348. Let m(u) = -u + 34. Calculate the remainder when t is divided by m(16).
11
Let c(u) = -u**3 + 4*u**2 + u - 1. Let y be -198*15/(-2)*(-12)/27. What is the remainder when (-6)/9 - y/18 is divided by c(3)?
3
Suppose 0 = -63*f + 65*f - 62. Suppose f*b - 192 = 23*b. Calculate the remainder when b is divided by 1*4*(-15)/(-12).
4
Suppose -3*t + 6 = 0, -100*p + 105*p - 4*t - 677 = 0. Calculate the remainder when 7259 is divided by p.
135
Suppose 2*b + 4*r + 17 = -13, b + 3*r = -20. Let f(x) = x**3 + 3*x**2 - 10*x + 7. Calculate the remainder when 62 is divided by f(b).
6
Let s = -1103 - -1220. Calculate the remainder when s is divided by 17.
15
Suppose 0 = -3*a + 2*d + 15, 2*d + 15 = 3*a - d. Suppose a*i - 149 = -o, -i + 11 - 2 = -5*o. Calculate the remainder when 36 is divided by i.
7
Let q = -4 + -1. Let u(k) = -17*k - 2. Let m = -127 + 144. Calculate the remainder when u(q) is divided by m.
15
Let o(r) = r**3 + 9*r**2 - 62*r + 26. Calculate the remainder when 794 is divided by o(-13).
14
Let m be (356/16)/((-7)/112). Let x = m + 375. What is the remainder when 128 is divided by x?
14
Let z(a) = 4*a**3 - 3*a - 14. Let c(w) = -3*w**3 + w**2 + 3*w + 15. Let d(u) = 3*c(u) + 2*z(u). What is the remainder when d(-4) is divided by 4?
1
Let d = 1661 - 1648. What is the remainder when 1468 is divided by d?
12
Let z(a) = 5*a**2 - 63*a - 198. Calculate the remainder when z(-10) is divided by 117.
113
Let r(u) = 3*u**2 + 2*u - 87. Let o be r(8). Let w = o + 202. Calculate the remainder when w is divided by 54.
53
Suppose -5*z = -b - 56, -b + 0*b - z = 38. Suppose 0 = -3*a - 144 + 153, -k + 5*a = 16. What is the remainder when 2 - b - (k - 1 - -3) is divided by 8?
2
Suppose 0 = 4*n + 12 - 0. Let d = 108 + n. Calculate the remainder when d is divided by 482/18 + 16/(-648)*-9.
24
Let b(x) be the second derivative of -x**5/20 - x**4/12 + x**3/6 - 3*x**2/2 - 5*x. Calculate the remainder when b(-3) is divided by ((-30)/18)/(2/(-6)).
2
Let z(j) = j**3 + 16*j**2 + 29*j + 17. Let v be z(-14). Suppose 223 = -v*b + 1924. Calculate the remainder when b is divided by 57.
54
Suppose 7383 = -29*h - 1868. Let p = -268 - h. Calculate the remainder when 110 is divided by p.
8
Let z be (-24)/(-14) + 60/210. Suppose -53 - 55 = -z*l. Suppose 9 = 5*s - 46. Calculate the remainder when l is divided by s.
10
Let s be 336/60 - 4/(-10). Suppose -s*w + 2*w = -24. Let k(m) = m**3 - 4*m**2 - 9*m + 10. What is the remainder when 54 is divided by k(w)?
26
Let s = 6889 - 6886. Calculate the remainder when 485 is divided by s.
2
Let d(h) = 3*h**2 - 123*h - 13. What is the remainder when d(42) is divided by 64?
49
Suppose 2*h - h - 243 = 0. Suppose 4*l + h = 3*b, l + 178 = 5*b - 210. Suppose 2*r - 8 = 12. Calculate the remainder when b is divided by r.
7
Let o = -6712 + 6959. What is the remainder when 255 is divided by o?
8
Suppose 5*w + 5*w - 1430 = 0. Let v = w + -131. Let y(c) = -c**3 + 8*c**2 - 6*c - 3. Calculate the remainder when v is divided by y(7).
0
Let f = -15 + 7. Let c(m) = 2*m**2 + 7*m - 7. Let a be c(f). Calculate the remainder when (-4)/(-12) - 0 - a/(-3) is divided by 5.
2
Suppose -3*v + 11 = 3*p - 25, -5*p + 35 = 0. Let x be (-4)/(-10)*(5 + 0). Suppose 0 = -y + 15 + x. What is the remainder when y is divided by v?
2
Let m(x) = 206*x**2 - 233*x + 466. Calculate the remainder when m(2) is divided by 26.
18
Let s be (12/(-4) - -6)*(-66)/9. Calculate the remainder when (55 - 25) + 0 + 2 is divided by 4/s - 402/(-33).
8
Let a(m) = -m**2 - 24*m + 87. Suppose 3*n = -2*n. Suppose n = 2*w + w - 519. Calculate the remainder when w is divided by a(-26).
33
What is the remainder when 70/56 - (-620)/(-32)*-2 is divided by 23?
17
Suppose 14*g