
Suppose -u + 4*o = -3*u + 192, 5*o + 266 = 3*u. Calculate the remainder when u is divided by 28.
8
Suppose 3*g + 2*g + 5*a - 75 = 0, -4*g + 70 = -a. Let p = 16 + g. What is the remainder when p is divided by (-117)/(-7) - (-4)/14?
16
Suppose p - 5*k = 150, -2*p - 27*k + 300 = -28*k. What is the remainder when p is divided by 14?
10
Let b(r) = r**3 - 11*r**2 - 25*r + 22. What is the remainder when 518 is divided by b(13)?
28
Let g = -84 + 129. What is the remainder when g is divided by 15?
0
Suppose -5419*d + 5427*d = 4352. What is the remainder when d is divided by 271?
2
Suppose 24*i - 19*i = t - 902, -t + 4*i + 899 = 0. Calculate the remainder when t is divided by 4.
3
Let c(k) = 2*k - 5. Let w(n) = n - 4. Let i(h) = 2*c(h) - 3*w(h). Let a = -29 + 50. What is the remainder when a is divided by i(6)?
5
Suppose -2*x + 24 + 6 = -4*h, 30 = x + 3*h. Calculate the remainder when x is divided by 7.
0
Suppose 6*a - 165 = 537. Suppose 2*j + 42 + 20 = 0. Let v = j + a. What is the remainder when v is divided by 22?
20
Let b(h) = -9*h - 32 - 18 + 3*h + 7. What is the remainder when b(-20) is divided by 27?
23
Suppose 3*u + 25 - 77 = -2*j, -4*u = 0. Calculate the remainder when 60 is divided by j.
8
Let m = -32 + 33. Let f(k) = -27*k - 2. Let h be f(-2). Calculate the remainder when (-2 + h + -3)*m is divided by 10.
7
Let w = -120 + 137. Suppose 4*q - 5*v = 31, 3*q - v - 35 = -9. What is the remainder when w is divided by q?
8
Suppose -5*q - 3*u + 30 = 0, 5*u - 4*u + 50 = 5*q. Let l = 22 - q. What is the remainder when 46 is divided by l?
7
Let v be (-31 + 13)*(0 + 2). Suppose i + 3*i - 5*k + 37 = 0, -3*k + 43 = -5*i. Calculate the remainder when 9 is divided by (-68)/(-18) + i/v.
1
Let x = 353 - 334. What is the remainder when 73 is divided by x?
16
Let s = -11 + 11. Suppose 0 = -5*h, -3*p + 8*p + 4*h - 25 = s. Calculate the remainder when (-2)/(-4) - 33/(-2) is divided by p.
2
Suppose 2*t + 3*r = 4*r + 104, t - 5*r - 43 = 0. Let o = 12 - 36. Let b = o + t. Calculate the remainder when b is divided by 10.
9
Let c = -47 - -156. Calculate the remainder when c is divided by 58.
51
Let b(a) = 4*a**3 - 5*a**2 - 4*a + 9. What is the remainder when b(4) is divided by 40?
9
Let z be 3/6*(7 + 1). Suppose -z*l = -317 - 631. Suppose -o = 4*h - 177, -3*h - 2*h + l = -4*o. What is the remainder when h is divided by 24?
21
Let g = -18 + 34. Suppose g = 2*x - x. What is the remainder when 159 is divided by x?
15
Let i = 124 - 81. Let n = 58 - i. Let w(p) = 6*p - 5. What is the remainder when w(8) is divided by n?
13
Let z(p) = p**2 - 7*p - 11. Let t be z(-5). Let v = t - 5. Suppose 0 = 5*l - 3*l - v. What is the remainder when 63 is divided by l?
19
Let u(d) be the first derivative of -d**4/2 + 4*d**3/3 + d**2/2 + d + 2. Let a be u(3). Let z = 19 + a. Calculate the remainder when z is divided by 3.
2
Suppose 105 = -14*n + 9*n. What is the remainder when 104 is divided by ((-54)/n)/((-4)/(-56))?
32
Calculate the remainder when 1437 is divided by 5025/35 + 3/7.
141
Suppose q - 159 = -4*u + 299, 234 = 2*u + 3*q. Calculate the remainder when u is divided by 40.
34
Let w = -5 + 16. Suppose 12*u - w*u - 5 = 0. Calculate the remainder when 351/u - (-3)/(-15) is divided by 18.
16
Suppose -169*f = -195*f + 32656. Calculate the remainder when f is divided by 37.
35
Suppose 1100*x - 1116*x + 4960 = 0. Calculate the remainder when x is divided by 35.
30
Let k = 102 + -62. What is the remainder when k is divided by 1/(-2 - (-92)/44)?
7
Suppose 4*i + k - 25 = 0, -5*i + 2*k + 45 = 6*k. Suppose 0 = -3*b + 224 - 188. Calculate the remainder when b is divided by i.
2
Let c = -5 + -6. Let i(m) = -m**3 - 9*m**2 + 13*m - 4. Suppose -k + 2*z - 4*z + 8 = 0, 3*k + 3*z = 36. What is the remainder when i(c) is divided by k?
15
Let d(x) = 7*x + 6. Let s be d(-4). Let q = s + 58. Let k = -22 + 35. What is the remainder when q is divided by k?
10
Suppose -82 = -n - 80, -88 = -3*j + 4*n. Calculate the remainder when j is divided by 21.
11
Let v(t) = -4*t + 33. Let m be v(10). Suppose 0 = -0*l - 4*l + 12, -3*f + 4*l + 114 = 0. What is the remainder when f is divided by (m - 37)/((-8)/4)?
20
Let p be (12/(-10))/(24/60). What is the remainder when 41 is divided by (-2)/(6/63*p)?
6
Suppose -5*k = -3*k - 202. Let a(j) = -j**3 + 12*j**2 - j + 25. Calculate the remainder when k is divided by a(12).
10
Let s(c) be the second derivative of -c**5/20 - c**4/12 + c**3/2 - c**2/2 - 4*c. What is the remainder when s(-4) is divided by 18?
17
Let x(y) = 2*y - 13. Let o be x(9). Suppose -3 = -2*p + o. What is the remainder when p is divided by 2?
0
Let s = 86 - 21. Calculate the remainder when s is divided by (-3)/(-3) - -3 - (-71 - -53).
21
Let w = 155 - 141. What is the remainder when 78 is divided by w?
8
Calculate the remainder when 3286 is divided by 77/4 + ((-90)/40)/9.
18
Suppose -2*y - y = -33. Suppose 5*v + 3 = -2*x - 8, -x = -3*v - y. Suppose 3*c = c + x. Calculate the remainder when 1 is divided by c.
0
Let m = 681 - 590. What is the remainder when m is divided by 10?
1
Let l = -7 + 12. Let j(n) = n - 5. Let p be j(7). Suppose 0 = -2*c + v + 18, 6*v = p*v. What is the remainder when c is divided by l?
4
Let c = 1453 - 1414. What is the remainder when 155 is divided by c?
38
Suppose 2*g + k - 34 = 0, g = 4*g - k - 56. Suppose 66 = 2*b + 2*t, -b + 99 = 2*b - 4*t. What is the remainder when b is divided by g?
15
Let x = 1916 + -1897. What is the remainder when 51 is divided by x?
13
Let n(u) = 5*u + 34. What is the remainder when 185 is divided by n(6)?
57
Suppose 310*z = 293*z + 5457. Calculate the remainder when z is divided by 17.
15
Suppose 3*l + l = 28. Let h(g) = 7*g + l*g**3 - 2*g - g**3 + 10*g**2 + 8 - 5*g**3. What is the remainder when h(-9) is divided by 15?
14
Calculate the remainder when 11 is divided by -2 + (-2)/(-3) - (-112)/21.
3
Let d(u) = u + 11. Let j be d(-7). Suppose 47*k + 67 = 2088. What is the remainder when k is divided by (2/j)/((-2)/(-60))?
13
Suppose 0 = -2*a - 2*m - 2, -4*a = -3*m - 24. Suppose n - 44 = -a*n. Suppose 13*d = n*d + 152. What is the remainder when d is divided by 16?
12
Suppose -4*z - 5*l - 167 = -452, z = 2*l + 55. Let h(r) = -r**2 + 6*r + 18. What is the remainder when z is divided by h(5)?
19
Let h = 12 - 4. What is the remainder when ((-6384)/(-36))/(-7)*(-3)/2 is divided by h?
6
Suppose 0 = 2*b - 163 - 1. Suppose 30*x - 438 - 151 = -79. Calculate the remainder when b is divided by x.
14
Suppose 4*t - 9*t + y + 35 = 0, 0 = 5*t + 4*y - 35. Calculate the remainder when 32 is divided by t.
4
Let p = 45 - 39. Let k(j) = 2*j - 24. Calculate the remainder when p is divided by k(14).
2
Let k = -1300 - -1324. Calculate the remainder when k is divided by 3.
0
Suppose 4*b - 51 = l, -5*l = b - 20 - 19. Calculate the remainder when b is divided by 10.
4
Let m = -178 + 308. Suppose -4*p + 81 = -2*w - 53, -4*p + m = 2*w. Let v(r) = -r + 12. What is the remainder when p is divided by v(0)?
9
What is the remainder when (570/42)/5*7 is divided by (10 - 3) + -3 + 3?
5
Let f(a) = 4*a**3 - a**2 + 2*a - 2. Let k be f(1). Suppose w = 3*w + 3*b - 114, 0 = -4*w + k*b + 210. Calculate the remainder when w is divided by 19.
16
Suppose -5*y + 4*r + 82 = 10, 2*r + 76 = 5*y. What is the remainder when y is divided by 11?
5
Let h = 408 + -388. What is the remainder when 217 is divided by h?
17
Let r(f) = -f**3 - 6*f**2 - 2*f - 6. Let b be r(-6). Suppose -s = -b*s - 50. Let k = 16 + s. Calculate the remainder when k is divided by 4.
2
Calculate the remainder when (9/(-12))/(3/(-708)) is divided by 15.
12
Calculate the remainder when 1/(-3) - 106/(-3) is divided by 3 - (2/16 + (-784)/128).
8
Let r(y) = -5*y - 2. Let o be r(-11). Let s = o - 30. What is the remainder when 109 is divided by s?
17
Suppose 0*l - 5*l = 4*a - 103, 5*l - 2*a = 91. Let z(i) = -4*i + 20*i + l - 5*i + i**2. What is the remainder when 33 is divided by z(-10)?
6
Suppose -4*t - t + 360 = 4*g, 0 = -5*t - 20. What is the remainder when g is divided by 15?
5
Suppose -2*a + 0*a + 24 = 0. What is the remainder when 248 is divided by a?
8
What is the remainder when 164 is divided by ((-15)/20 - (-1)/(-4))*-11?
10
Suppose -3*p - p = -20. Suppose 0 = -r + p*r - 232. Calculate the remainder when r is divided by 15.
13
Let 