2
Let s be (13/((-26)/12))/(-3). Suppose -s*n = -9*n + 301. Calculate the remainder when n is divided by 15.
13
Let g = -56 - -55. What is the remainder when 0/(-2) - -1 - -14 is divided by g - (-6)/5 - 87/(-15)?
3
Suppose 47 = 3*a - 529. Suppose -m = -4*p + a, -6*p + 3*p = -5*m - 161. Calculate the remainder when p is divided by 12.
11
Suppose 0 = -701*j + 704*j - 249. What is the remainder when j is divided by 42?
41
Suppose -3*y + 2 = 3*k - 1, 4*y = -16. Calculate the remainder when 98 is divided by -11*(k - (1 + 5)).
10
Let a(k) = k - 11. Suppose 0 = -3*s + 5*d + 101, -2*s + 4*d + 59 = -d. Calculate the remainder when s is divided by a(20).
6
Let u(m) = -3*m + 60. Let q be u(-17). Let j = q + -93. Calculate the remainder when 71 is divided by j.
17
Let o be -15 + (-1 - -1 - 1). Suppose -5*f + b + 143 = 0, -2*f - 4*b - 124 = -6*f. Let n = f + o. Calculate the remainder when 47 is divided by n.
11
Let a = 66 - 94. Let r = a - -57. Let q = r - 19. Calculate the remainder when q is divided by 6.
4
Let j(o) = 3*o**3 - 5*o**2 - o + 15. Let p(y) = 3*y**3 - 5*y**2 - y + 15. Let q(m) = -3*j(m) + 4*p(m). What is the remainder when q(4) is divided by 31?
30
Let n(c) = c**2 + 7*c - 16. What is the remainder when n(7) is divided by 42?
40
Let x = 70 + 2. Let b = 6 + -24. Let l = 7 - b. What is the remainder when x is divided by l?
22
Let c = 525 + -489. Calculate the remainder when 319 is divided by c.
31
Let l = 462 + -422. Suppose -2*b = -30 - 36. Let r = l - b. Calculate the remainder when 11 is divided by r.
4
Let g be (-1)/5 - ((-1892)/5)/2. Suppose 0 = -10*k + 81 + g. What is the remainder when k is divided by (-123)/(-9) - 2/(-6)?
13
Let s(w) = 53*w - 118. Calculate the remainder when s(5) is divided by 4.
3
Let w(d) = -d - 30. Let f(j) = j + 30. Let q be (-6)/(-15) - (-102)/(-30). Let s(n) = q*f(n) - 4*w(n). What is the remainder when 67 is divided by s(-13)?
16
Let w = 14 + 2. Calculate the remainder when 54 is divided by w.
6
Suppose -2*w + 50 = -7*w. Let d = -9 - -7. Calculate the remainder when 26 is divided by (12 + d)*(-15)/w.
11
Calculate the remainder when 40 is divided by 2/(-28) + 7100/1400.
0
Let n = 0 - -23. Suppose -4*l = -n - 17. What is the remainder when 27 is divided by l?
7
Let f = -32 - 7. What is the remainder when 17 is divided by 6/f + (-396)/(-39)?
7
Let p(k) = -k + 17. Let u be p(-7). Suppose -64 = -5*f + 3*z, -3*z - 2*z + u = f. What is the remainder when 27 is divided by f?
13
Let i(s) = s**3 - 7*s**2 - 6*s - 7. Let f be i(8). Suppose 1552 = -k + f*k. What is the remainder when k is divided by 7?
5
What is the remainder when 155 is divided by (80/100)/(1/50)?
35
Let w(f) = 10*f**2 + 2*f - 1. Suppose -v = -5*v + 4. Let h(x) = -2*x - 7. What is the remainder when w(v) is divided by h(-5)?
2
Let s = 122 - 43. Calculate the remainder when 150 is divided by s.
71
Let c(v) = 4*v - 7. Calculate the remainder when 7 is divided by c(3).
2
Suppose 20*i = 3*o + 16*i - 267, 3*o + i = 267. Calculate the remainder when o is divided by 37.
15
Let f(i) = 5*i**2 + 2*i + 5. Suppose 3*u - 4*u - 40 = 0. Let b = u + 60. Calculate the remainder when f(-4) is divided by b.
17
Let y(t) = -t**3 + 10*t**2 + 13*t - 1. Let x be y(11). Suppose -3*z - 24 = -3*v, 2*z = 4*v - 3 - x. Calculate the remainder when 14 is divided by v.
2
Suppose -22*r + 59*r - 481 = 0. Calculate the remainder when r is divided by 6.
1
Suppose -5*n + 3*q + 2925 = 0, 5*q = 3*n + n - 2353. Calculate the remainder when (2/(-3))/((-4)/n) is divided by 14.
13
Let p(w) = 35*w**3 + 1. Let d(n) = -n + 8. Let b be d(7). Calculate the remainder when p(b) is divided by 3/(-15) - 132/(-10).
10
Suppose -353 + 2368 = 31*a. What is the remainder when 1882 is divided by a?
62
Let q(z) = 2*z + 2*z - 6*z. Let t be q(-6). Suppose 2*p = 4 + t. What is the remainder when 30 is divided by p?
6
Suppose -5*n = 4*z + 21 - 4, -4*z - n + 3 = 0. Let w = 326 + -324. What is the remainder when z is divided by w?
0
Suppose 5*a = 4*g + 3, 0*a = 2*a - 4*g + 6. Suppose -y - 13 = -17. Calculate the remainder when (-4)/(-1) - (y - 4) is divided by a.
1
Suppose 7*u = 529 - 74. Calculate the remainder when u is divided by 41.
24
Suppose -46*s + 217 + 243 = 0. What is the remainder when 298 is divided by s?
8
Let z = 2 + 8. Let j = z - -23. Let k = j + -19. What is the remainder when k is divided by 5?
4
Let x be (8/(-6))/2 - 540/(-81). Suppose -x*g + 85 = -g. Calculate the remainder when 24 is divided by g.
7
Suppose 20 = -4*t, 0 = -5*i + 3*t - 2*t + 85. Suppose 3*z = 2*p - i - 27, z + 3 = 0. What is the remainder when p is divided by 4?
1
Let m = -3 + -111. Let k = 121 + m. Let y = -1 - -4. Calculate the remainder when k is divided by y.
1
Suppose 278 = 6*f - 184. Calculate the remainder when f is divided by 21.
14
Let a(y) = y**2 + 4*y + 15. Calculate the remainder when 154 is divided by a(-5).
14
Suppose -2*x + 146 = -x. Let u = 8399 + -8392. Calculate the remainder when x is divided by u.
6
Let w = 52 - 22. Suppose -18 = -6*o + w. Let r = -21 - -43. Calculate the remainder when r is divided by o.
6
Suppose 62 - 16 = -3*s - 2*k, 0 = 4*s + 5*k + 59. Let j = 5 + -15. Let g = j - s. What is the remainder when 22 is divided by g?
4
Let p = -143 - -146. Calculate the remainder when 97 is divided by p.
1
Suppose -28*y + 987 = -665. Calculate the remainder when 942 is divided by y.
57
Suppose 0 = -2*k - 5*d + 11, 5*d = 4*k - 48 + 11. Let r(c) = c - 2. Let v be r(2). Suppose v*f - 23 = -f. Calculate the remainder when f is divided by k.
7
Suppose 6 = j - 4*p, 7*j - 5*p - 24 = 3*j. Calculate the remainder when 22 is divided by j.
4
Let a(v) = -15*v - 1001. What is the remainder when a(-68) is divided by (-3 - 0)*3/(-1)?
1
Suppose -30 = q - 3*q. Let g(w) = w**2 + 12*w - 27. Let u be g(-15). Suppose -u*l + 18 = -q*l. Calculate the remainder when 11 is divided by l.
5
What is the remainder when 86 is divided by 5*((-720)/(-25))/8?
14
Suppose 2 = -q - 3*x, -q + 4*x = -0*x - 19. Suppose 3*y + 81 = 3*v, y + 3 = 2*y. What is the remainder when v is divided by q?
2
Let j(t) = 13*t + 2. Let y(s) = -s**3 - s**2 - s + 9. Let i be y(0). Let u(h) = h**2 - 7*h + 5. Calculate the remainder when j(5) is divided by u(i).
21
Let h(s) = s**2 + 10*s - 6. Let u be h(-11). Let y(t) = 3*t - 2. Calculate the remainder when 36 is divided by y(u).
10
Suppose -406*m = -409*m + 93. Calculate the remainder when 303 is divided by m.
24
What is the remainder when 171 is divided by ((-768)/(-33))/4 - (-4)/22?
3
Suppose 23*p = 18*p. Suppose -9*v = -p*v - 81. What is the remainder when 23 is divided by v?
5
Let n(u) = u**3 + 8*u**2 + 11*u + 19. What is the remainder when 189 is divided by n(-5)?
33
Suppose 0 = -12*d + 3*d + 414. Calculate the remainder when 178 is divided by d.
40
Let j(d) = -17*d - 53. Calculate the remainder when 267 is divided by j(-4).
12
What is the remainder when 386 is divided by ((-1092)/(-130))/(3/20)?
50
Suppose -19*j + 34*j = 105. Calculate the remainder when 9 is divided by j.
2
Suppose b = -j + 3*j - 21, 6 = j + b. Calculate the remainder when 494 is divided by j.
8
Let u be (-2)/(-3) + (-55)/15. Let i be ((-3)/u + 10)*1. Calculate the remainder when i - 3 - -3 - 0 is divided by 3.
2
Suppose 5*q + 91 = 4*p, -5*p = 5*q - 90 - 35. Calculate the remainder when p is divided by 30/(-44)*-10 + 12/66.
3
Let l = -442 + 474. What is the remainder when 79 is divided by l?
15
Suppose -t + 156 = 2*t. Suppose 0*u = 12*u - 132. Suppose 2*d + 18 = 2*k, 5*d = u - 1. What is the remainder when t is divided by k?
8
Let t(c) = -c**2 + 59*c + 90. What is the remainder when 277 is divided by t(59)?
7
Let p = -86 - -1424. Calculate the remainder when p is divided by 61.
57
Suppose -9 + 0 = -i. Let a(f) = -4 + 3*f - f - 5. What is the remainder when i is divided by a(6)?
0
Let z(y) = 2*y**2 - 2*y + 4. Let s be 2 + (0 - (1 + -1)). Let c be z(s). What is the remainder when (18/10)/(c/120) is divided by 10?
7
What is the remainder when (-6)/9 + (-300)/(-18) is divided by ((-8)/(4 - 2))/((-24)/84)?
2
Let d(f) = -3*f - 5. Let s(m) = m**3 - 9*m**2 + 10*m - 26. Let q be s(8). Let t = 77 + -5. What is the remainder when t is divided by d(q)?
22
Suppose -w = 2*n - 260, n = -0*n - w + 129. Let y = -85 + n. Suppose 0*m = 2*m + 3*c - 17, -2*c = 4*m 