n is divided by y.
10
Let y = 940 + -544. Calculate the remainder when y is divided by 56.
4
Suppose 152 = w + 3*q + 43, -6 = -3*q. Let j = -67 + w. Suppose j + 142 = 2*f. What is the remainder when f is divided by 23?
20
Let t be (-2)/(-3 - 676/(-228)). What is the remainder when t/(-2)*14/(-21) is divided by 6?
1
Let m(d) = 4*d**2 - 2*d + 6. Suppose -2*f - 3*o - 11 = 0, 0 = -0*f - f - 2*o - 8. What is the remainder when 71 is divided by m(f)?
17
Let g = -2 + 2. Let t = 17 + -14. Suppose g*d = -d + 5*i - 18, 5*i - 26 = -t*d. Calculate the remainder when 2 is divided by d.
0
Suppose 2*v - 300 = 4*h, -v - 5*h + 86 + 36 = 0. Suppose v = 4*p + j, 2*p = p - 4*j + 43. Let k = 117 + -98. Calculate the remainder when p is divided by k.
16
Let k = -1294 + 1313. Calculate the remainder when 115 is divided by k.
1
Let z(m) = -9*m + 14. What is the remainder when z(-11) is divided by 24?
17
Suppose 2223 = 22*w - 659. What is the remainder when 378 is divided by w?
116
Suppose 0 = -4*y + 4*a + 16, 5*y + 17 - 72 = -2*a. Suppose -10*q + 30 = -5*q. Let r(s) = -s**2 + 6*s + 3. Calculate the remainder when y is divided by r(q).
0
Calculate the remainder when 1678 is divided by (-17)/(-323) + (-3112)/(-76).
38
Suppose 0 = r - 42 - 27. Calculate the remainder when r is divided by 6.
3
Let a be (-114)/(-27) + (-6)/27. Suppose a*x = 7*x - 18. Calculate the remainder when 34 is divided by x/((16/12)/4).
16
Suppose -3*d + 45 = -0*d. Suppose -2*h - 4 = 2*h, b = h + 119. Calculate the remainder when b is divided by d.
13
Let j(i) be the third derivative of -5*i**4/24 + 3*i**3 + 16*i**2. What is the remainder when j(-13) is divided by 21?
20
Let k(f) be the second derivative of -f**5/20 + f**4/3 + f**3/2 + 7*f**2 + 24*f. Calculate the remainder when 24 is divided by k(5).
0
Suppose 716 = 4*y - 5*z + 121, 2*z + 6 = 0. What is the remainder when y is divided by 35?
5
Let v(y) = -22*y - 6. What is the remainder when 111 is divided by v(-1)?
15
Suppose 2*h + 2*h = 392. What is the remainder when h is divided by 21?
14
Let b = 553 + -544. Let y = 0 + 1. Suppose 0 = i - y - 2. Calculate the remainder when b is divided by i.
0
Calculate the remainder when 14 is divided by (-2)/(-16) - 333*(-13)/312.
0
Let y(j) = -2*j + 10. Let s(w) = 2*w - 6. Let d be s(-3). What is the remainder when 133 is divided by y(d)?
31
Suppose -5*z = 5*u - 9 - 91, -4*z = 3*u - 85. Let r = 79 + -7. Calculate the remainder when r is divided by z.
22
Let i = -18 + 23. Suppose h - 5*l - 32 = 0, -i*l - 4 = h + 2*h. What is the remainder when 9/(-6)*3*-6 is divided by h?
6
Suppose 3*b - 200 = -5*z + 346, -870 = -5*b + 5*z. What is the remainder when b is divided by 46?
39
Let f = -184 + 187. What is the remainder when 29 is divided by f?
2
Let a be (-6)/33 - (-444)/22. Suppose 8*y = 6*y + a. What is the remainder when 37 is divided by y?
7
Suppose -4*y + 5 = -y - 2*d, 3*d = 4*y - 8. Let w(k) = -53*k**3 - 2*k**2 - 2*k - 1. Calculate the remainder when w(y) is divided by 18.
16
Let y(r) = -4*r**3 - 2*r**2 + 3*r + 2. What is the remainder when 239 is divided by y(-2)?
19
Suppose 3*t - 7*t + 40 = 0. What is the remainder when t is divided by (-2)/6 + 8 + 5/15?
2
Suppose -25 = -5*r, -5*r + r + 20 = c. Suppose c = -17*v + 20*v - 168. What is the remainder when v is divided by 15?
11
Suppose -13481 = 169*i - 182*i. What is the remainder when i is divided by 104?
101
Let c(z) = 8*z**2 + 14*z - 57. What is the remainder when c(9) is divided by 30?
27
Suppose 4*m = 4*f + 180, 16*m - 11*m + f = 237. What is the remainder when 231 is divided by m?
43
Let x(f) = 33*f - 30*f + 54 + 11. What is the remainder when x(0) is divided by 11?
10
Let p(o) = o**3 + 8*o**2 + o + 8. Let m be p(-8). Suppose -2*b - 3*y + 0*y = 6, 2*b - 5*y - 26 = m. What is the remainder when (74/b)/(18/27) is divided by 19?
18
Let t(m) = 366*m + 2220. Let d be 2/4 + 930/4. Suppose 4*s + 5*r = 200, 5*s + 0*r - d = -2*r. What is the remainder when s is divided by t(-6)?
21
Suppose 5 = 5*g - 10. Suppose -4*t = -2*z - 6, 3*z + g*t - 10 = -z. What is the remainder when 2 is divided by z?
0
Let c(y) = 8*y**2 - 21 + 13 + y**3 + 7. Calculate the remainder when c(-6) is divided by 19.
14
Suppose 0*m + 15 = 5*m - 5*h, 0 = 4*m + 4*h - 12. Suppose -m*r + 9 = -33. Calculate the remainder when r is divided by 3.
2
Let a = 780 + -766. Calculate the remainder when 277 is divided by a.
11
Let u be 6/(-24) - 42/(-8). Suppose u*a = 3*v + 135, -5*a - 2*v + 62 = -2*a. Suppose -15 = -3*c + a. What is the remainder when 38 is divided by c?
12
Suppose -251 - 674 = -5*w. Let n be 9/24 - w/(-40). Suppose n*x = -3*l + 91, -3*x - 73 = 2*l - 6*l. What is the remainder when 65 is divided by l?
21
Let y(p) = 13*p + 11. Suppose -4*q + 2 = -46. Suppose q = 2*l + 2. Calculate the remainder when y(l) is divided by 11.
10
Suppose -47 = 3*j - 11. What is the remainder when ((-4)/(j/9) - 1) + 7 is divided by 5?
4
Let f(q) = -q**2 + 11*q - 5. What is the remainder when 64 is divided by f(9)?
12
Suppose -11 + 45 = 2*j. Calculate the remainder when (-124)/14*-5 + 14/(-49) is divided by j.
10
Let z(n) = 3*n + 12. Let y be z(5). Calculate the remainder when 14 is divided by y/(3 - 0) - 4.
4
Calculate the remainder when 1024/10 - 4/10 is divided by (26/(-9))/((-16)/144).
24
Let i = -1 - -5. Suppose 0 = 5*o + 2*a - 0*a - 32, -i*o = -3*a - 44. Calculate the remainder when 21 is divided by o.
5
Suppose -3*p - 38 = -155. Let x = p + -29. Suppose 5 + 16 = -d - 5*l, 0 = 4*l + 20. What is the remainder when x is divided by d?
2
Let s(u) be the second derivative of u**4/12 - 2*u**3/3 - 7*u**2 - 2*u. Let y = 56 - 38. What is the remainder when y is divided by s(7)?
4
Suppose 420*c - 30 = 415*c. Calculate the remainder when 31 is divided by c.
1
Suppose 3*h + 4*z = 34, -2*z + 18 = -5*h + 118. Calculate the remainder when 83 is divided by h.
11
Suppose -7*n = 28*n - 5460. Calculate the remainder when n is divided by 44.
24
Let o(w) = 3*w**2 - 4*w + 3. Let c be o(3). Suppose -t = -2*t - 3*l + c, 0 = -2*t + 3*l. Suppose -g = -t*g + 265. What is the remainder when g is divided by 14?
11
Suppose -5*r = -u - 185, -4*r + 22*u + 154 = 20*u. What is the remainder when r is divided by 19?
17
Let f(t) = -t**2 + 26. Let h be (-5 - -12)/(-28) - (-2)/8. What is the remainder when 103 is divided by f(h)?
25
Let g(f) be the first derivative of -f**4/2 + 16*f**3/3 - 26*f - 31. Calculate the remainder when g(7) is divided by 25.
22
Suppose -3*x = x + 20. Let w = 5 + x. Suppose 2*s - 3 - 1 = w. What is the remainder when s is divided by 1?
0
Let f = -94 + 96. Suppose 2*x = -v + 10, f*x = -2*v + 4*x + 38. Calculate the remainder when 53 is divided by v.
5
Let r be 28 + -1 + 0 + -3. Suppose 3*g - o = 40, g - 2*g - 5*o + r = 0. Calculate the remainder when 37 is divided by g.
9
Let s = -3278 - -4606. What is the remainder when s is divided by 18?
14
Suppose -78 = -5*i + 542. Calculate the remainder when 226 is divided by i.
102
Suppose 4*c = -0*c + 4. Let z(r) = 8*r + 1. Let w be z(c). Suppose 4*l + w = 7*l. Calculate the remainder when 4 is divided by l.
1
Let i(n) = 2*n - 1. Let q(k) = 3*k - 2. Let z be q(1). Calculate the remainder when 1 is divided by i(z).
0
What is the remainder when ((-6)/2 + 91)*(-1 + 2) is divided by 65?
23
Suppose 0 = 3*t - 2*z - 146, 3*z + 304 = 5*t + 62. Let n = -32 + t. What is the remainder when n is divided by 5?
4
Let u(z) = -z**2 + 10*z - 4. Let v be 4 + (1 - 0) + -1. Suppose 71*m - 84*m + 507 = 0. What is the remainder when m is divided by u(v)?
19
Let g = 49 - 14. Calculate the remainder when (1287/22 - -9)/(2/4) is divided by g.
30
Suppose 7 = -52*v + 53*v. Suppose f - 5*y = 0, -f - 5*y + v = -3*y. Calculate the remainder when f is divided by 4.
1
What is the remainder when 3030/33 + 8/44 is divided by 47?
45
Suppose 13*d + 23*d = 360. What is the remainder when 207 is divided by d?
7
What is the remainder when (9/((-360)/736))/(3/(-15)) is divided by 39?
14
Suppose -15*j + 53 = -322. What is the remainder when 68 is divided by j?
18
Suppose -5*a - f + 4341 = 0, -35*a + 4*f = -34*a - 864. What is the remainder when a is divided by 67?
64
Suppose -2 = -4*h + 10. Let q(d) = -7*d - 69 - d + 67. What is the remainder when q(-1) is divided by h?
0
Let n(z) = 15*z - 86. What is the remain