4. Suppose 5*d = 5*m + 100, 4*d = -m + 167 - 82. Calculate the remainder when d is divided by p.
10
Suppose 11 = y - 5*d, 0 = y - d - 2*d - 21. Suppose 184 = 22*b - 278. What is the remainder when y is divided by b?
15
Suppose y - 3*y - 4*t = 0, 0 = -4*y + 2*t - 30. Let j(d) = -d**2 - 15*d - 15. Calculate the remainder when j(y) is divided by 15.
9
Suppose -3*x + 7 = 4*k, k + 0*k + 2*x + 2 = 0. Let o be (-12)/15*210/k. What is the remainder when (-2)/(-14) + (-246)/o is divided by 4?
2
Let v(f) = -f**3 + 10*f**2 - 7*f + 5. Suppose 0 = -2*m - 3*u + 4*u + 13, 3*u = -3*m + 33. What is the remainder when v(m) is divided by 27?
23
Suppose -192 = 95*f - 101*f. What is the remainder when 60 is divided by f?
28
Suppose -4*x + 2*u = -46 - 18, 0 = 5*x + 3*u - 69. What is the remainder when 32 is divided by x?
2
Let b = -117 - -144. What is the remainder when 73 is divided by b?
19
Let w = 52 - 37. What is the remainder when 3 + (-405)/(-6) - (-12)/8 is divided by w?
12
Suppose -25*o + 38 = -23*o. Let m(s) = -s**3 + 18*s**2 + 22*s + 21. What is the remainder when m(o) is divided by 27?
24
Suppose c + 57 - 85 = -2*r, 0 = -2*r - 8. What is the remainder when 234 is divided by c?
18
Let i = 261 + -187. Calculate the remainder when 1552 is divided by i.
72
Suppose 3*g + 0*g = 321. Suppose 74 + 106 = 5*s. What is the remainder when g is divided by s?
35
Let v(r) = 2*r**2 - 28*r - 11. Calculate the remainder when v(-11) is divided by 20.
19
Let w(p) = -6*p - 15. Suppose 162 - 57 = 5*g. Calculate the remainder when w(-16) is divided by g.
18
Let y = -23 - -29. Suppose y*t - 7 = 53. Calculate the remainder when 68 is divided by t.
8
Let w be 3 - 100/36 - (-32)/18. What is the remainder when 85 is divided by (-5 - -4) + w + 7?
5
Let b = 294 + -278. Calculate the remainder when 57 is divided by b.
9
Suppose 0 = 3*h + u - 21, 1 = h - 2*u - 13. What is the remainder when 14 is divided by h?
6
Let r = -334 + 375. Calculate the remainder when r is divided by 21.
20
Let g = -36 + 28. Let y = g + 59. What is the remainder when y is divided by 27?
24
Let l(a) = a**3 + 17*a**2 + 15*a + 22. Let g(i) = -i**3 + 6*i - 20*i - 16 - 5*i**2 - 10*i**2. Let q be g(-14). What is the remainder when l(q) is divided by 10?
8
Suppose -183 + 62 = -11*k. Suppose -k*u = -4*u - 84. Calculate the remainder when 33 is divided by u.
9
Suppose -5*w = 2*i - 23, -12 = -2*i - i. Suppose -5*n = -u - 36, 0 = n - w*u - 12 + 2. Calculate the remainder when 11 is divided by n.
4
Calculate the remainder when 329 is divided by (448/(-40))/((-2)/20).
105
Suppose 2*s - 52 = -0. What is the remainder when (-8 - 6/(-6))/(2/(-22)) is divided by s?
25
What is the remainder when 46/8*8/4*66 is divided by 20?
19
Let r(m) = m**2 - 1. Let v(t) = 2*t + 9. What is the remainder when v(10) is divided by r(-3)?
5
Suppose 3*b = -5*t + 355, t = -2*t + 2*b + 194. Let l = 98 - t. What is the remainder when l is divided by 16?
14
Let u be ((-9)/(-2) - 4) + 30/4. Suppose u*s = 3*s - 3*j + 74, 0 = 4*s - 5*j - 74. Calculate the remainder when 30 is divided by s.
14
Let v(t) = 9 + t**3 + 34*t + 19*t**2 + 21 - 17. Calculate the remainder when 64 is divided by v(-17).
12
Calculate the remainder when 1 + 2 + (-3)/(-1) + 222 is divided by 33.
30
Suppose 5*v + 51 = 2*i, 2*v - 57 = -4*i + 3*v. Let s = -15 + 20. Suppose 3*q = s*g + 98, 5*q - 2*q = g + 106. What is the remainder when q is divided by i?
10
Let y be (26/(-6))/((-15)/(-45)). Let o(a) = a**2 + 14*a + 17. What is the remainder when 19 is divided by o(y)?
3
Let r(w) = w**3 + 7*w**2 + 2*w - 6. Suppose 4*v + 14 + 10 = 0. Let g(y) = 8*y**3 + y**2 - 2*y + 7. What is the remainder when g(2) is divided by r(v)?
17
Suppose -l - 27930 = -58*l. Calculate the remainder when l is divided by 16.
10
Suppose 3*j = i - 78, -3*j - 2*j - 25 = 0. Suppose 4*q - i = -2*w + w, -q + 17 = -w. Calculate the remainder when 46 is divided by q.
14
Let k(j) = 16*j**2 + 7*j + 8. Calculate the remainder when k(-3) is divided by 58.
15
Let j = -257 - -290. Calculate the remainder when 63 is divided by j.
30
Suppose -6*r = -2*r. Suppose 25 = 5*f + 3*v, 5*v - 15 = -r*f - 3*f. Let p = -1234 - -1240. What is the remainder when p is divided by f?
1
Let x(w) = 9*w + 2. Let i(p) = -4*p**2 - 4*p - 4. Let j(r) = -r - 1. Let c(q) = -i(q) + 6*j(q). What is the remainder when x(3) is divided by c(2)?
9
Suppose -29 = -k + 3*s, -4*s = 4*k + s - 82. Let q(b) = 6*b**2 + 5*b + 7. Calculate the remainder when k is divided by q(0).
2
Suppose 4*i - 157 + 13 = 0. Suppose 5*v - 7 = -4*m + 23, 2*v - 24 = -4*m. Suppose -j = -11 - v. What is the remainder when i is divided by j?
10
Suppose 0 = 3*s + a + 5, 0*s + 2*s = 3*a - 7. Suppose c + 12 = 3*c. Calculate the remainder when ((-44)/10)/(s/5) is divided by c.
5
Let i be (-401 - 3)*(-1)/2. Suppose -4*g = -2*g - i. What is the remainder when g is divided by 34?
33
What is the remainder when 383 is divided by (-52 - -34)*(195/(-9))/5?
71
Suppose -4*x = -3*s + 101, 2*x = -s + 15 + 32. Calculate the remainder when 20 is divided by 435/s - (-2)/(-13).
9
Suppose -7 = -4*g - 3. Let u(a) = -a**2 - a - 2. Let f(d) = d + 1. Let w(c) = -2*f(c) - u(c). Calculate the remainder when w(-1) is divided by g.
0
Calculate the remainder when 20*(13/(-39) + (-357)/(-45)) is divided by 74.
4
Let y(c) = -c**3 + 3*c**2 + 11*c - 1. What is the remainder when 510 is divided by y(4)?
24
Let x(q) be the first derivative of -q**4/4 - 2*q**3 - 3*q**2 + 2*q + 1. Calculate the remainder when 380/(-95) + 2 + (12 - -2) is divided by x(-5).
5
Suppose 105 = -5*m - 160. Let f = 66 + m. What is the remainder when 49 is divided by f?
10
Let l(a) = -93*a + 0 + 112*a + 1. What is the remainder when l(4) is divided by 39?
38
Suppose -10*h - 10 = -50. Suppose -4*p = 3*g - 3*p - 60, 0 = -h*g - 5*p + 69. Let o = 146 + -84. Calculate the remainder when o is divided by g.
20
Let q(z) = -z**3 + 14*z**2 + 16*z - 13. Let y be q(15). Suppose 0*s = -2*s - y. What is the remainder when -1 - (2 + (s - 31)) is divided by 15?
14
Suppose 19 = p - 2*j + 6, -25 = -4*p - j. Suppose -p*i + 2*i = -90. Calculate the remainder when (176/(-6))/((-3)/9) is divided by i.
16
Suppose -4*k + 26 = -2*y, -7*k = -12*k + 5*y + 45. Suppose -9 = -4*p - 3*w, -w + 14 = 2*p + 3*p. What is the remainder when k is divided by p?
1
Let s = -6 + 5. Let k be -6*(3 + s/3). Let l = k + 28. What is the remainder when l is divided by 7?
5
Let p(l) = l**3 - 4*l**2 + 2*l - 6. Suppose 6*a = 4*a + 8. Let v be p(a). What is the remainder when 5 is divided by -3*3/(-6)*v?
2
Let h be 3 - 1 - (-3)/(2 + -5). What is the remainder when 101 is divided by -4 + -1 + 5 - (h + -18)?
16
Let v = 23 + -42. Let t = 3 - -24. Let n = v + t. What is the remainder when 29 is divided by n?
5
Let h = -7473 + 7505. Let s(c) = -3*c + 2. Calculate the remainder when h is divided by s(-3).
10
Let o(a) = -4*a**3 + 2*a + 1. Suppose 0 = -4*m + 3*u - 81 + 432, 3*m = 4*u + 272. Calculate the remainder when m is divided by o(-2).
26
Let i(n) = -n**3 - 8*n**2 + 84*n + 6. What is the remainder when 194 is divided by i(6)?
2
Suppose 2*g + 3*z - 90 = 8, -3*z + 6 = 0. Calculate the remainder when (-6)/4*2 + g is divided by 22.
21
Suppose s - 1852 = -4*j, 443*j - 447*j = 5*s - 1868. What is the remainder when j is divided by 26?
20
Let l(c) = 3*c - 14. Let r be l(6). Suppose -t + 3*t = r. Suppose -t*s - 185 = -7*s. What is the remainder when s is divided by 10?
7
Suppose -26*g + 1011 = -289. What is the remainder when 221 is divided by g?
21
Let q(k) = 2*k**2 + 4*k + 2. Let y be q(-2). Suppose -4*p - d + 4 = 0, -2*d - y = p - 3. Let m(r) = -2*r - 9. What is the remainder when m(-6) is divided by p?
0
Let g be 2/3*(-3)/(-1). Suppose 0 = -g*i - 9 + 25. Let m = -22 - -51. What is the remainder when m is divided by i?
5
Let s = -245 + 366. Let x = s + 158. Calculate the remainder when x is divided by 56.
55
Suppose 3*v = 5*v - 186. Let u(s) = -7 - 150*s**3 + 1 - 4*s**2 + 151*s**3. What is the remainder when v is divided by u(5)?
17
Let i be 5/(-7) + 24/(-84). Calculate the remainder when 98 is divided by (-5)/i*-5*-1.
23
Let g(p) = p**2 - 39. Let y be g(0). Let u be -22 - (48/(-30))/(2/(-5)). What is the remainder when 57 is divided by (-4)/u - 579/y?
12
Let l(c) = -2*c**2 + 12*c + 12. Let b be l(7). Calc