uppose -10*u + 7*u - l + 156 = 0, -u + 5*l = -52. Calculate the remainder when 155 is divided by u.
51
Suppose 5*h = -4*l + 223, 7*l = 3*l + 8. What is the remainder when 82 is divided by h?
39
Suppose 0 = x - 5*x - 5*j + 124, 0 = 4*x + j - 124. What is the remainder when x is divided by 18?
13
Suppose w - 28 = -3*w + 5*i, -w + 7 = 4*i. Calculate the remainder when 18 is divided by w.
4
Let y = -9 + 6. Let i(w) = -3*w - 10. Calculate the remainder when i(-9) is divided by 100/12 - 2/y.
8
Let y(p) = p**3 + 21*p**2 + 19*p + 39. Let z(u) = u**2 + 3*u + 2. Let m be (0 - 1) + -6 - -1. What is the remainder when y(-20) is divided by z(m)?
19
Let r(d) = d**2 - 13*d + 13. Let f be r(14). Suppose b - y - f = 0, -2*y + 7*y = -20. Calculate the remainder when 45 is divided by b.
22
Let d(o) = -38*o + 211. Calculate the remainder when 215 is divided by d(5).
5
Let v = -577 + 654. Calculate the remainder when v is divided by 8.
5
Let o = -62 - -70. Suppose -7*k - o = -57. What is the remainder when 40 is divided by k?
5
Suppose 0 = 2*q - q + 23. Let t = 27 + q. Calculate the remainder when 11 is divided by t.
3
Let c(v) = -v**2 - 7*v. Let y be c(-6). Let l = 41 + y. Suppose -1 = -5*r + 59. Calculate the remainder when l is divided by r.
11
Let n = -39 + 64. Suppose n - 5 = 4*o. Suppose -2*b + o = -3. What is the remainder when 10 is divided by b?
2
Suppose 0 = 3*w - 2 - 1. Suppose -218 = -511*s + 5403. What is the remainder when s is divided by w?
0
Let f = 26 - 26. Suppose f = -2*b - 4*b + 180. What is the remainder when 117 is divided by b?
27
Let m = 21 + -8. Suppose m = -z + 8. Let l(a) = 3*a**2 + 8*a + 8. Calculate the remainder when l(z) is divided by 15.
13
Let k be 24/60 + 93/5. Let i = k + -33. Calculate the remainder when 35 is divided by (-174)/i + 33/(-77).
11
Let p(b) = -6*b**2 - 3*b + 152. Calculate the remainder when 307 is divided by p(0).
3
Suppose 18*z - 3*z = 390. Calculate the remainder when 52 is divided by z.
0
Suppose 5*y - 41 + 16 = 0. Suppose -5*t + 4*t + 4*u = 0, -5*t - y*u = 0. Suppose -2*h + t*h = -30. What is the remainder when 55 is divided by h?
10
Let d = 230 - -36. Suppose 2*j - 4*j + d = 0. What is the remainder when j is divided by 27?
25
Let w(t) be the second derivative of -2*t**3/3 - 54*t**2 + 24*t. What is the remainder when 46 is divided by w(-31)?
14
Let h(x) = -x**2 - x + 6. Let b be h(2). Suppose -18 = -b*t - 2*t. What is the remainder when 25 is divided by t?
7
Let f = 9 - -26. Suppose q = -5*q + 96. Suppose -5*j = 3*x - 41, -x - 3*j - 1 = -q. What is the remainder when f is divided by x?
11
Let o(b) = 22*b**3 + 14*b - 13. Calculate the remainder when 203 is divided by o(1).
19
Let h(q) = -2*q**3 - 6*q**2 - 9*q - 7. Suppose -2*v = -10*v + 600. What is the remainder when v is divided by h(-3)?
15
Let v(p) = 3*p**3 - 5*p**2 + 5*p - 3. Let y be v(3). Suppose 5*w - y = w. Calculate the remainder when (-9)/(-5)*1400/120 is divided by w.
9
Let j be (4*(-1)/5)/((-4)/(-670)). Let c = j - -241. Calculate the remainder when c is divided by 22.
19
Let x be (-8)/10 + (-540)/(-50). What is the remainder when 89 is divided by -1 + x + 0/(-3 + 5)?
8
Let n(r) = 3*r + 126. Suppose 2*c = -3*i + 86, -4*i + i + 4*c + 116 = 0. Calculate the remainder when n(0) is divided by i.
30
Suppose 9*r + 30 - 66 = 0. Suppose -2*n - n = 0. Suppose r*s - 3*s - 28 = n. Calculate the remainder when 53 is divided by s.
25
Suppose 162 = -33*v + 36*v. What is the remainder when 485 is divided by v?
53
Let m(z) = z**2 - 4*z - 25. Let k be m(6). Calculate the remainder when 24 is divided by (-3)/(-2 - k/8).
0
Suppose 5*l = -5*s + 190, -70*s = -68*s - 4*l - 46. Let w = -7 - -17. What is the remainder when s is divided by w?
3
Let p be -2 - -5 - -6*3. Suppose -y = -p + 1. Suppose a + 5*t - 19 = 0, 0 = -2*a - t + 4*t + 90. What is the remainder when a is divided by y?
19
Let h(w) = -12*w - 13. Let b be h(-8). What is the remainder when b*4/(3 - -1) is divided by 43?
40
Let j(t) = 5*t - 20. Let z be j(7). Suppose -2*y - z = -77. Calculate the remainder when y is divided by (-130)/(-8) + (-2)/8.
15
Suppose -3*y + 0*y = -42. Let t = 970 - 960. Calculate the remainder when y is divided by t.
4
Let x be (1 - 0)*-3*(-2 - -3). Calculate the remainder when 41 is divided by (-21)/((-3)/(-6)*x).
13
Suppose 5*m = 4*g + 73 + 196, 2*m - 266 = 4*g. Let k = 102 + g. Let l = k + 24. What is the remainder when l is divided by 21?
18
Suppose 13*b + 429 = 24*b. Calculate the remainder when 104 is divided by b.
26
Suppose 4*j = 347 + 85. Calculate the remainder when j is divided by 11.
9
Let u = -16 + 27. Suppose u = -3*q + 17. Suppose -3*a - 2*r = -78, 3*r = q*a + 2*r - 52. Calculate the remainder when a is divided by 9.
8
Let c(r) = -r**2 + 11*r + 7. Suppose -2*z - 1 = -11. Suppose -2*a + 98 = -z*o + o, 2*a - 3*o = 97. What is the remainder when a is divided by c(9)?
22
Let l = -342 + 360. Let i = 77 + -24. What is the remainder when i is divided by l?
17
Suppose 3*r - 7*x + 2*x - 95 = 0, 0 = 4*r + 4*x - 180. Let p = r - 12. What is the remainder when 108 is divided by p?
24
Suppose 11*r - 899 = 421. Calculate the remainder when r is divided by 41.
38
Let v(m) = -3*m + 132. Calculate the remainder when 91 is divided by v(28).
43
Suppose -4*u + 7*v - 3*v = -836, -2*v = 6. What is the remainder when u is divided by 53?
47
Suppose -k + 2*v + 38 = 0, 15*k - 4*v - 196 = 10*k. Calculate the remainder when 73 is divided by k.
33
Suppose -w + 2*w - 2 = 0. Suppose w*f + 0 = 2. Calculate the remainder when f/(-6) + (-605)/(-30) is divided by 7.
6
Let p = -35 - -45. Suppose -15*l + 13*l = 14. Let f = -1 - l. Calculate the remainder when p is divided by f.
4
Calculate the remainder when (127 - 9/(-3)) + 36/9 is divided by 35.
29
Suppose 3*a + 1 = 2*q + 44, 0 = q - 4. Calculate the remainder when 135 is divided by a.
16
Let v = 132 - 77. Let x be (-4)/6*30/4. Let i(f) = 2*f**2 + 6*f - 6. What is the remainder when v is divided by i(x)?
13
Let b(s) = -s**3 - 16*s**2 - 22*s + 18. Let o be b(-16). Suppose 5*z = 5*m + o, -m - 202 = -3*z - 2*m. What is the remainder when z is divided by 18?
15
Let o = -40 - -48. Calculate the remainder when 854/7 - o/2 is divided by 30.
28
Suppose 0 = -3*h + 73 - 7. Let a = 28 - h. What is the remainder when 16 is divided by a?
4
Suppose 23*x - 682 = x. Calculate the remainder when 113 is divided by x.
20
Suppose 5*x - 5*g = 40, -3*g + 6 - 42 = -4*x. Suppose -5*n + k = -286, -4*n + 3*k = -0*n - 231. What is the remainder when n is divided by x?
9
Let n = -222 - -300. What is the remainder when n is divided by 27?
24
Let d(j) = -j**3 - 10*j**2 + 5*j - 2. Let v be d(-10). Let r = 64 + v. Calculate the remainder when 19 is divided by r.
7
Suppose -1652 = -8*g - 444. What is the remainder when g is divided by 33?
19
Suppose 3*v - 266 - 235 = -4*z, z - 4*v - 111 = 0. What is the remainder when z is divided by 33?
24
Let a(h) = h**2 + 2*h + 99. Let j be a(0). Let t = -86 + j. What is the remainder when 22 is divided by t?
9
Let p(x) = x**2 + 8*x + 18. Let t be p(-4). What is the remainder when (-8 - 745)*(-3)/18*t is divided by 42?
41
Suppose 477 - 167 = 5*q. Let r = q - 42. Let v(p) = -20*p - 3. Calculate the remainder when v(-2) is divided by r.
17
Suppose 37 = 17*f - 99. Suppose 0 = r + 2 + 6. Calculate the remainder when (-2)/r - 302/(-8) is divided by f.
6
Let y(m) = 4*m**2 - 2*m - 2. Let q be y(-2). Let x = -5 + q. Calculate the remainder when 3 + 5/(-5) + (20 - -1) is divided by x.
10
Let u(g) = -g**3 - 5*g**2 - 5*g - 4. Let n be u(-3). Let z = n - -14. Suppose z - 18 = -j. Calculate the remainder when 19 is divided by j.
8
Suppose -5*x - 29*o + 33*o + 124 = 0, -5*x - 2*o + 148 = 0. What is the remainder when 63 is divided by x?
7
Suppose 4*m = 198 - 42. Let f = m + 29. What is the remainder when f is divided by 10?
8
Let h(o) be the third derivative of o**5/15 - o**4/6 - 5*o**3/6 - 11*o**2. Calculate the remainder when h(6) is divided by 39.
37
What is the remainder when (-4 - 0)/(-1 - 20/(-21)) is divided by 47?
37
Suppose 66 = -13*u + 35*u. Suppose -5*i = -i - 132. Suppose -u*p + i + 33 = 0. What is the remainder when 65 is divided by p?
21
Suppose 133 = 5*w - 32. Suppose w = 3*d - 51. Let u(z) = -z**3 - 7*z**2 - 2*z - 9. Calculate the remainder whe