y be p(d). Let s = 17 + y. Calculate the remainder when s is divided by 3.
2
What is the remainder when 188 is divided by 0/4 + (-105)/((-10)/2)?
20
Let z(m) = m**2 - 16*m + 22. Let g be z(15). Suppose g*p - 13*p = -216. What is the remainder when 213 is divided by p?
33
Let n = 104 - 49. Let p = -26 + n. Calculate the remainder when p is divided by 9.
2
Let d be 4*((-2 - -2) + -50). Let i = -117 - d. Calculate the remainder when i is divided by 22.
17
Suppose -h + 3*h = 3*q + 52, -5*h = -3*q - 121. Suppose -5*a + 213 = -122. Calculate the remainder when a is divided by h.
21
Let a(f) = 9*f + 602. Calculate the remainder when 231 is divided by a(-59).
18
Suppose w + 51 = 3*v - 4*w, w = -3. What is the remainder when 92 is divided by ((-19)/(-4))/(3/v)?
16
Suppose -6*b = -b - 2*l + 83, -b - 27 = -3*l. Let z = 21 + b. What is the remainder when 15 is divided by z?
3
Suppose -3*g + n = -2*g - 10, -3*n + 35 = 2*g. Suppose -g = 3*u + 8. Calculate the remainder when 7/(u/(-24)) - 0 is divided by 13.
11
Let r(j) = -j - 5. Let l be r(-7). What is the remainder when 1 + -5 - 59/(-1) is divided by (l/2)/(2/38)?
17
Suppose -5*z + 117 = -8. Let t(w) = w**2 + 18*w + 20. Let c be t(-16). Calculate the remainder when z is divided by (c + (-2)/1)*-1.
11
Let g be (-832)/40 - 1/5. Let a = g + 94. Calculate the remainder when a is divided by 15.
13
Let c(a) = 11*a - 14. Let b(l) = 4*l - 5. Let r(z) = 8*b(z) - 3*c(z). Calculate the remainder when (3*(-5 + 4))/(9/(-87)) is divided by r(-6).
5
Suppose -4*l + 326 = 2*m, 0 = l + 4*m + m - 68. What is the remainder when l is divided by 12?
11
Suppose -34 = -12*c + 386. What is the remainder when 134 is divided by c?
29
Let c(u) = -2*u**3 - 7*u**2 + 6*u - 18. Let p be c(-9). Suppose 1365 = 5*o + 5*r, 0 = -7*o + 4*o + 2*r + p. What is the remainder when o is divided by 23?
20
Let d = -16 - -9. What is the remainder when 16 is divided by (d + 3)/(2/(-3))?
4
Let r = 39 + -38. Calculate the remainder when 19 is divided by 4 - ((-16)/4 - r).
1
Suppose 0 = -18*a + 28*a - 390. Calculate the remainder when 114 is divided by a.
36
Suppose -4*a + 40 = -3*f + 7*f, -5*a = -4*f + 67. What is the remainder when f is divided by 8?
5
Let l(p) = -p**3 - 9*p**2 - 13*p + 17. Let x be 2*(25/(-10) + -1). Calculate the remainder when 39 is divided by l(x).
9
Suppose 4*t - 7*t + 330 = 0. Let p = t + -35. What is the remainder when p is divided by 19?
18
Let l(s) = 6*s + 284. Calculate the remainder when l(45) is divided by 18.
14
Suppose 3*v - 25 = 47. What is the remainder when 13 + (-3)/3 + -2 is divided by (v/(-10))/(4/(-10))?
4
Suppose -23*m + 2001 = -1219. What is the remainder when m is divided by 33?
8
Suppose -5*w + 2256 = 11*w. What is the remainder when w is divided by 47?
0
Let n = 26 - 14. What is the remainder when (0 + (-8)/20)*-85 is divided by n?
10
Suppose 1768 + 586 = 11*f. Let n = -59 + f. What is the remainder when n is divided by 26?
25
Let n = 47 + -26. Suppose 5*l + 3 + 7 = 0. What is the remainder when n is divided by 2/4 - 23/l?
9
Suppose 8*h + 5*h - 234 = 0. What is the remainder when 179 is divided by h?
17
Let o = -1 - -5. Suppose -3*m - 92 = -o*y + m, -m = -3*y + 59. What is the remainder when 47 is divided by y?
11
Let a(s) = -4*s**3 - 64*s**2 - 15*s + 35. Calculate the remainder when a(-16) is divided by 48.
35
Let b = 16 - 12. Suppose -b*a + 4 = -0*a. Let u = 8 + a. What is the remainder when 25 is divided by u?
7
Let o = -27 - -71. Suppose 5*r = 3*r + o. Suppose 0 = 2*z - 4*b - 4, 3*z + 3*b + 15 = 6*z. What is the remainder when r is divided by z?
6
Let k = 47 - 38. Suppose -1 = -5*a + 24. Calculate the remainder when k is divided by a.
4
Suppose 0*z - 44 = -2*z. What is the remainder when z is divided by (3 - (-70)/10) + -5?
2
Suppose -73 = -5*y - 13. Let x = 19 + -14. Let i = 18 + x. Calculate the remainder when i is divided by y.
11
Suppose 78 = 3*q - 3*d, 0 = 8*q - 3*q + d - 106. What is the remainder when 77 is divided by q?
11
Let g = 235 + -100. Let t = g + -77. What is the remainder when t is divided by 21?
16
Let s = 1299 + -1274. Calculate the remainder when 374 is divided by s.
24
Let z(j) = 5*j + 5. Let m be z(2). Suppose 0 = w - 20 + m. What is the remainder when 16 is divided by w?
1
Let g = -188 - -238. What is the remainder when g is divided by 9?
5
Calculate the remainder when 1309/4 + (264/(-32))/(-11) is divided by 8.
0
Suppose 41 = -5*n + 171. Let a be (-8 - -10)/(2/(-8)). Let z(q) = -12*q + 5. What is the remainder when z(a) is divided by n?
23
Suppose 0 = 68*n - 3181 - 2735. What is the remainder when n is divided by 63?
24
What is the remainder when ((-6)/4)/(-6*(-12)/(-3216)) is divided by 34?
33
Let v(k) = 2*k**2 + 3*k - 2. Let c be v(2). What is the remainder when 29 is divided by c/5*(0 + 15/6)?
5
Suppose -117 = 5*a - 6*a + k, 5*a = -5*k + 595. Let y = 38 - 8. What is the remainder when a is divided by y?
28
Let b = 18 - 16. Suppose b*q + 2 = k + 3*q, 0 = -5*q. Suppose 3*x + 3*u = 21, 0 = -k*x + x + 4*u + 32. What is the remainder when 46 is divided by x?
10
Let a be (-1 - 2)/3 + -8. Let z = 23 + a. What is the remainder when 52 is divided by z?
10
Let j = -292 - -73. Let z = j + 321. Calculate the remainder when z is divided by 13.
11
Let g be 90/(12/4) + 2. Let l = -16 + g. Let d(h) = 25*h - 6. Calculate the remainder when d(4) is divided by l.
14
Let a(h) = -h**2 + 19*h + 22. Let n be a(10). Let t = -96 + n. Calculate the remainder when 43 is divided by t.
11
Let k(f) = -10*f + 196. What is the remainder when k(9) is divided by 19?
11
Let q = 2663 - 4602. Calculate the remainder when (-2)/(-3) + 5*q/(-105) is divided by 16.
13
Let x = -97 + 208. Calculate the remainder when x is divided by 95.
16
Let i(s) = 6*s**2 + 98*s - 24. Suppose 5*o - 51 = 2*o. Calculate the remainder when i(-17) is divided by o.
10
Let z = 116 + -60. What is the remainder when -1*3*(-30 + -6) is divided by z?
52
Suppose 0 = 4*v + 2 - 22. Suppose 135 = v*w + 5*u - 135, 0 = 3*w - 3*u - 174. What is the remainder when w is divided by 20?
16
Let g(k) = -3*k + 1. Let u be -19 + -8*(-1)/2. Calculate the remainder when g(u) is divided by 12.
10
Let v(h) be the first derivative of h**3 + 7*h**2/2 - 5*h + 26. Calculate the remainder when v(-8) is divided by 33.
32
Suppose -4*c - 6 + 18 = 0. What is the remainder when 46 is divided by c?
1
Let k(x) = 2*x - 6. Let c be k(2). Let y be (-3 - c)/((-1)/(-3)). Calculate the remainder when -3*(-96)/9 + y is divided by 8.
5
Let u(t) = -139*t - 6. What is the remainder when u(-1) is divided by 5*(272/10)/4?
31
Suppose 7*m = 8*m - 211. Calculate the remainder when m is divided by 46.
27
Suppose a - 1 = 0, -z + 3*z + 4*a = 92. Let j be (-2)/(-11) - (-80)/z. Let i(x) = 6*x**3 - 4*x**2 + 3*x - 1. Calculate the remainder when i(j) is divided by 20.
17
Let t(a) = -a**3 + 8*a**2 - 16*a + 17. Calculate the remainder when 126 is divided by t(5).
6
Suppose -142*f + 138*f + 128 = 0. Calculate the remainder when 159 is divided by f.
31
Suppose -3 + 48 = 5*l - 5*m, 5*l + 4*m = 27. What is the remainder when 104 is divided by l?
6
Let f = 87 + -62. Let j = 32 + -18. What is the remainder when f is divided by j?
11
Let t = -87 + 128. Suppose -t*w - 259 = -48*w. Calculate the remainder when 145 is divided by w.
34
Suppose u - 5*i - 9 = 0, u + 18 = 3*u - i. Let m(z) = -9*z - 1. Suppose -2*w + 4*w + 3*j - 5 = 0, w - j = -5. What is the remainder when m(w) is divided by u?
8
Calculate the remainder when ((-12)/5)/3*43775/(-170) is divided by 37.
21
Let o = 164 - 116. What is the remainder when 96 is divided by o?
0
Let b = -66 + 71. Suppose 5*n = b*d - 5, -3*d + n = 2*n - 15. Calculate the remainder when d is divided by 1.
0
Let r = 69 + -49. Suppose -5*h = -r, 0*h = -4*c - h + 8. Let d = -8 - -9. Calculate the remainder when c is divided by d.
0
What is the remainder when 1845 is divided by 3 + -1 + 3/(36/276)?
20
Let s = -10 + 20. Let g = 0 + s. Calculate the remainder when g is divided by 0 + (-5)/((-20)/16).
2
Suppose 61*a = 19*a + 6930. Calculate the remainder when a is divided by 36.
21
Let j(n) be the second derivative of n**4/12 + 2*n**3/3 + n**2/2 - 2*n. Calculate the remainder when (1 - 1) + 12 + -2 is divided by j(-5).
4
Suppose 73 = 3*v - w - 90, 4*v - 249 = -5*w. Calculate th