 m(y) = 6*y - 55. Let s be m(10). Calculate the remainder when j(s) is divided by 4.
2
Suppose 49352 = 133*b - 71811. Calculate the remainder when b is divided by 375.
161
Suppose 1518 - 3338 = -128*j + 2404. Calculate the remainder when 313 is divided by j.
16
Let d(z) be the first derivative of z**4/2 - 5*z**3 - z**2/2 - 6*z + 12. What is the remainder when 97 is divided by d(8)?
47
Suppose 19 = 2*d - 1. Let m(g) = -2*g**3 + 17*g**2 + 126*g + 69. Calculate the remainder when m(13) is divided by d.
6
Let j(r) be the first derivative of 5*r**2 - 15*r + 96. Calculate the remainder when j(4) is divided by 4.
1
Let s(v) = -105 + 7*v + 5 - 64 + 21*v - v**2. What is the remainder when 39 is divided by s(11)?
16
Suppose 3*d + 112 - 394 = 3*k, -4*d + 10*k = -376. Let z = -1 - -1. Suppose -h + z*h = -16. What is the remainder when d is divided by h?
14
Suppose 3*x = 7*x - 12. Let u = 34 - 8. Calculate the remainder when u is divided by x.
2
Suppose 22*u - 1855 = -31*u. What is the remainder when 92 is divided by u?
22
Let a(q) = 2*q**2 - 3*q - 2. Suppose 0 = 11*d - d - 150. Suppose 11 = -2*y - 4*b + d, -25 = 5*b. Calculate the remainder when a(5) is divided by y.
9
What is the remainder when (-562887)/2652*4/(-3) is divided by 281?
2
Let h(d) = 254*d - 3074. What is the remainder when h(24) is divided by 11?
8
Let t be (-448)/(-210) + 4/(-30) + 3. Suppose 4*n + 136 = 13*j - 9*j, 5 = t*n. Calculate the remainder when 174 is divided by j.
34
Suppose 13000 = 12*z + 28*z. Suppose 5*q - 24*r = -23*r + z, -5*r + 355 = 5*q. Suppose 2*d + 6 = 34. Calculate the remainder when q is divided by d.
10
Let v(s) = 5*s**2 + 3*s - 14. Let p be v(5). Let w = -60 + p. What is the remainder when w is divided by 24?
18
Suppose 2*i + 0*w = -4*w - 18, -2*w = 2. Let s = 50 - -35. What is the remainder when s is divided by 17 + (-35)/(i/1)?
19
Let p(s) = 15*s**2 - 4. Let n = 142364 - 142348. Calculate the remainder when p(4) is divided by n.
12
Let b(a) be the third derivative of -a**5/10 + 241*a**4/24 + 35*a**3/6 - 14*a**2. What is the remainder when b(40) is divided by 11?
9
Suppose 7*j + 3*s - 57 = 4*j + 2*s, 0 = -5*s. What is the remainder when 470 is divided by j?
14
Let g = 369 + -337. Let y(q) = q**3 + 6*q**2 + 6*q + 4. Suppose 4*z + 13 = -3*w, -16 = 5*z - 4*w + 8. Calculate the remainder when g is divided by y(z).
8
Let k = -115 - -146. Calculate the remainder when k is divided by 108/40 - 39/(-130).
1
Let i = -44 - -188. Suppose -3*t + 87 = 4*n, 0 = 11*t - 8*t + 3*n - 93. What is the remainder when i is divided by t?
33
Suppose 0 = -4*a + 4*a + 8*a. What is the remainder when 52 is divided by (70/(-25))/((-2)/30 + a)?
10
Suppose -10*s = -5*s + g - 2566, -4*s = 4*g - 2072. What is the remainder when 519 is divided by s?
7
Let s(k) = -23*k - 243. Calculate the remainder when 18 is divided by s(-11).
8
What is the remainder when 5068/(-48)*-33 + 35/(-28) is divided by 83?
80
Let l = 494 + -476. Let b(o) = -o**3 + 14*o**2 + o - 11. What is the remainder when l is divided by b(14)?
0
Let b(u) = 10*u**3 + u**2 + u - 1. Let o be b(2). Let i = o + -46. Let v(l) = -l**3 + 3*l**2 + 10*l + 6. Calculate the remainder when i is divided by v(5).
3
Suppose 252*h - 75*h - 102*h - 35175 = 0. What is the remainder when h is divided by 200?
69
Suppose 852 = i + 11*i. Let h = i + -40. What is the remainder when h is divided by -2 - -2 - (-16)/2?
7
Suppose 0 = -0*x - 4*x + 302 - 2. What is the remainder when x is divided by 18?
3
Suppose -301*f = -311*f. Suppose h - 122 = -5*t - 45, f = 5*t - 2*h - 86. What is the remainder when 79 is divided by t?
15
Let q = 250 - 157. Let f(w) = -3*w**2 - 16*w - 49. Let z be f(-12). Let l = -270 - z. What is the remainder when q is divided by l?
17
Suppose x - 1098 = -11*g + 9*g, -6*x + 2204 = 4*g. What is the remainder when g is divided by 543?
5
Let f = 237 + -156. Let u be 46*((-7)/21)/(4/(-18)). Let m = 90 - u. What is the remainder when f is divided by m?
18
Let l(i) = i**2 + 7*i + 27. Let m = 76 - 126. Calculate the remainder when l(-8) is divided by ((-20)/m)/(1/30).
11
Let s = 3818 - 6608. Calculate the remainder when 2/3*s/(-60) is divided by 11.
9
Suppose -90*b = -52*b - 2318. Calculate the remainder when 178 is divided by b.
56
Let j be 123*4/20*5. Suppose 6*o - 93 = 3*o. Calculate the remainder when 2 + j + -2 + -1 is divided by o.
29
Suppose n = 6*n - 5*j - 445, 187 = 2*n - 5*j. Suppose -14*b + 226 - n = 0. Calculate the remainder when 26 is divided by b.
6
Suppose -2*b = -2*z - 24, b - 4*z - z = 0. Let t(v) = 179*v**2 + 834*v + 7. Calculate the remainder when t(-5) is divided by b.
12
Let t(s) = -12*s**2 - 4*s. Let q be t(-4). Let d = q + 83. Let o = 111 + d. Calculate the remainder when o is divided by 7.
4
Suppose -2*o - 4*g = -18, -2*g + 10 = o + g. Let a(x) = -16 - 15 - o*x + 0*x. Calculate the remainder when 35 is divided by a(-7).
17
Suppose -1232 = -38*h + 34*h + 4*f, -3*f - 298 = -h. Calculate the remainder when h is divided by 40.
33
Let c = -22996 - -23041. Calculate the remainder when 95 is divided by c.
5
Suppose 24*p - 752 = 8*p. Suppose 0 = -u - i - 9 + 18, 0 = 3*u - 2*i - p. What is the remainder when (-602)/(-8) + 1/(-4) is divided by u?
10
Suppose -10*d + 15*d = -35. Let f be (2 + d)*-1*1086/15. Suppose -3*w - a = 2*w - 435, 4*w - 2*a = f. What is the remainder when w is divided by 23?
19
Suppose 85 + 68 = -17*f. Let l(i) be the third derivative of i**4/12 + 11*i**3/3 + i**2. Calculate the remainder when 9 is divided by l(f).
1
Let j(a) be the third derivative of a**5/30 - 11*a**4/24 + 25*a**3/6 + 20*a**2 + a. What is the remainder when 53 is divided by j(6)?
22
Let i(u) = 10*u + 22 + 5*u + 115 + 6*u - 22*u. Calculate the remainder when i(-49) is divided by 13.
4
What is the remainder when 2518 is divided by -5 + ((-45)/(-15) - (-32 + (-8)/(-4)))?
26
Calculate the remainder when 340 is divided by (7/(-1))/(4*(-4)/752).
11
Let q(u) = -5*u + 23. Let v(w) = -w + 4. Let i(j) = -6*q(j) + 34*v(j). Let c(b) = 168*b**3. What is the remainder when c(1) is divided by i(-9)?
32
Suppose 4*b - 2*x + 8 - 4 = 0, 10 = -5*x. Let l be -2 + b + (1 - 0). What is the remainder when 71 is divided by 41 + (-3 + -4 - l)?
34
Let q(x) = -124*x**3 - 9*x**2 - 12*x - 2. Let k(z) = -z**3 + 8*z**2 + 10*z - 120. Let g be k(7). Calculate the remainder when q(g) is divided by 39.
8
Suppose -2*r + 829 = -57. What is the remainder when r is divided by 145?
8
Let i be -6 + 7 + -4 - -3. Suppose i = 73*m - 78*m + 110. Suppose 2*j + 35 = 5*v, 2*j + 2 = -3*v + 7. Calculate the remainder when m is divided by v.
2
Let p(s) = -s**2 + 5*s - 2. Let y be p(5). Let u be 1 + 10/y + 1 - 1. What is the remainder when 2/(-5*u/630) is divided by 22?
19
Suppose -100*d + 490 = -410. Suppose -40 - 24 = -2*j. Calculate the remainder when j is divided by d.
5
Suppose -29*r = -30*r + 35*r - 30668. What is the remainder when r is divided by 3?
2
Suppose 5*l + 5*j = 955, 0*j - 5*j = -4*l + 737. Suppose -2*k = -4*t + 2*k + l, 0 = 5*t + 5*k - 195. Calculate the remainder when 49 is divided by t.
6
Let u(i) = 8*i + 183. Let q(w) = -w**2 + 12*w - 51. Let x be q(8). Calculate the remainder when u(x) is divided by 8.
7
Suppose 2*n - 45 = 151. Suppose h + 7*p = 76, 0 = -3*h + 56*p - 52*p + 78. Calculate the remainder when n is divided by h.
30
Let a be 5*((-8)/10)/(-2). Suppose -3*r - 46 = -a*u, -78 + 6 = -4*u + r. What is the remainder when 96 is divided by u?
11
Suppose 5*a - 14*a + 63 = 0. Suppose 5*x + a = 12. Let z(c) = 124*c**2 + 3*c - 2. Calculate the remainder when z(x) is divided by 32.
29
Let c = -5690 - -6265. Calculate the remainder when c is divided by 16.
15
Suppose -20*w = 10107 - 10807. Calculate the remainder when w is divided by (-5 - -6) + 0 + 9.
5
Suppose 65*u - 10951 = -141*u + 2851. Calculate the remainder when 305 is divided by u.
37
What is the remainder when (23 - 24)/(3/(-618)) is divided by 27?
17
Suppose 129 = 3*x + 2*a, 4*x - 193 = -3*a - 22. Suppose -d - 3*y = -8*y - 60, -d - y = -54. Let i = d - x. Calculate the remainder when 27 is divided by i.
7
Let z = 398 + -1312. Let q = -493 - z. Calculate the remainder when q is divided by 25.
21
Suppose 2*y - 4*y = 0. Let l be ((-3)/6*18)/(-3). Suppose y = 4*f + l*f - 70. Calculate the remainder when 29 is divi