 the remainder when m is divided by 22.
9
Suppose -5*z + m + 6 = 0, 0 = m - 6*m + 20. Suppose 3*x + 19 = -0*p + z*p, -14 = -2*p + 4*x. Suppose w - 15 = 16. What is the remainder when w is divided by p?
14
Suppose 27*b = 757 + 1754. Suppose -v + 12 = 2*n - 35, 4*v = -5*n + 113. What is the remainder when b is divided by n?
18
Let k = 11 + -11. Suppose k*j = -3*j + 18. Suppose -11 = 5*s - j*s. Calculate the remainder when s is divided by 4.
3
What is the remainder when 150 is divided by 2408/63 + 4/(-18)?
36
Suppose 3*p = -172 - 2294. Suppose 4*o + 52 = 4*c, 3*c + 4*o - 45 = -13. Calculate the remainder when (-2)/(-7) + p/(-14) is divided by c.
11
Let g(o) = -o**3 - 4*o**2 - 15. Let y(q) be the second derivative of -4*q**3/3 - q**2/2 + q. What is the remainder when g(-6) is divided by y(-2)?
12
Let n = -290 - -300. What is the remainder when 89 is divided by n?
9
Suppose 7*y = 3 + 620. What is the remainder when y is divided by 18?
17
Suppose -54*u - 113 = -55*u. What is the remainder when u is divided by 29?
26
Let x(w) = w**3 - 5*w**2 + 7*w - 11. Calculate the remainder when x(5) is divided by 14.
10
Suppose 0*h - 9 = -h - v, -5*h + v = -21. Suppose h = 2*i - 13. What is the remainder when 62 is divided by i?
8
Suppose w - 3*t - t - 20 = 0, -t - 5 = 5*w. Suppose w = -5*p + 55 - 10. What is the remainder when p is divided by 5?
4
Let n(l) = -l**3 - l**2 + 17*l - 14. Calculate the remainder when n(-6) is divided by 6.
4
What is the remainder when 134 is divided by (-3)/57*2 - (-9550)/475?
14
What is the remainder when ((-572)/(-33))/((-28)/(-357)) is divided by 57?
50
Let h = -26 + 76. Let f = 61 - h. Calculate the remainder when 28 is divided by f.
6
Suppose 2*p - 1 = 23. Let v(k) = -k**2 - 7. Let i be v(-3). Calculate the remainder when 7/(i/(-12) + -1) is divided by p.
9
Let b(z) = -z**3 - 14*z**2 - 6*z - 74. What is the remainder when 238 is divided by b(-14)?
8
Let h(c) = 140*c - 31. Calculate the remainder when h(3) is divided by 65.
64
Let h = 4497 + -4470. Let b(c) = 159*c**3 - 2*c + 1. Calculate the remainder when b(1) is divided by h.
23
Suppose -218 = -3*g - 176. Let d(y) = -y**2 + 13*y - 1. Let q be (1 + 0)/((-1)/(-6)). What is the remainder when d(q) is divided by g?
13
Suppose -q - 21 = -2*q. Suppose -4*u + q + 31 = 0. What is the remainder when 25 is divided by u?
12
Suppose r = -4*r. Suppose 2*c + 29 = 2*m + 3*c, 4*m + 5*c - 67 = r. Let b(w) = 19*w - 39. What is the remainder when b(4) is divided by m?
11
Suppose 4*y - r = -6*r - 100, 4*r = 16. What is the remainder when 53 is divided by ((-3)/(-2))/(y/(-220))?
9
Let q(s) = 6*s**3 - s + 1. Let g be q(1). Suppose 2*m - g = -2, -5*i + 176 = 3*m. Suppose 3*c - c = i. What is the remainder when c is divided by 10?
7
Let o = -129 - -70. Let p = o - -106. Calculate the remainder when p is divided by 16.
15
Let q = 348 - 159. What is the remainder when q is divided by 15?
9
Let q(g) = -2*g**3 - 7*g**2 - 7*g + 2. Calculate the remainder when 65 is divided by q(-3).
9
Let x(n) = -2*n**3 + 3*n**2 - 9*n + 6. Let k be x(4). Let l = 179 + k. What is the remainder when l is divided by 35?
34
Suppose 0*u + 12 = -2*u. Let o(k) = k**3 + 8*k**2 + 9*k + 3. Calculate the remainder when o(u) is divided by 12.
9
Suppose w + 2 = 0, -2*z + 3*w + 172 = -60. Let m(q) = q + 6. Calculate the remainder when z is divided by m(17).
21
Suppose -o - 2*a + 11 = 0, 2*o - 1 = 9*a - 6*a. What is the remainder when 7 is divided by o?
2
Suppose -3*i - 40 = -z, 5*z - 4*i - 96 = 159. Calculate the remainder when 162 is divided by z.
52
Suppose y = 489 + 21. Suppose -y = 2*d - 5*d. Suppose 2*x + d = 2*u, -4*x = -3*u + u + 168. Calculate the remainder when u is divided by 29.
28
Suppose 0*q + 2*q = 28. Let t(b) = b**3 - 9*b**2 + 16*b - 77. What is the remainder when t(9) is divided by q?
11
Suppose 3*q - 17 = -2*p, 1 = 3*p - 2*p. What is the remainder when q is divided by 2?
1
Let p be (-4)/(-6)*66/11. Suppose -40 = -p*c + 96. Calculate the remainder when c is divided by 12.
10
Let h = -10 + 19. Suppose 3*r - 12 = -4*x + x, x = r - 6. Suppose -4*n - r*j = -j - 52, 12 = -4*j. Calculate the remainder when n is divided by h.
7
Let u(f) = 6*f**2 - 61*f + 16. Calculate the remainder when 273 is divided by u(11).
60
Let d(s) = -4*s - 18. Let c(m) = -5*m - 18. Let a(g) = 5*c(g) - 6*d(g). Calculate the remainder when 29 is divided by a(2).
13
Let u be 6/2 - -1 - 4. Suppose u = 5*v - 6*v + 83. What is the remainder when v is divided by 2/(-3)*(2 - 35)?
17
Let v = -235 + 240. What is the remainder when 24 is divided by v?
4
Let d(p) = -2*p**2 + 29*p - 10. Calculate the remainder when 373 is divided by d(8).
91
Let d be 1/(-1) - (1 + -2). Suppose 3*u = -4*v + 28, -2*u + u - 4*v + 12 = d. What is the remainder when (23 - (2 + -1)) + -1 is divided by u?
5
Let m(p) = 9*p**2 - 6*p - 2. Calculate the remainder when m(-4) is divided by 14.
12
Let b = 236 - 211. Suppose h + 2*h - 291 = 0. What is the remainder when h is divided by b?
22
Let b(a) = -13*a + 5. Let m be b(3). Let r = m - -35. What is the remainder when 2 is divided by r?
0
Suppose -8*w + 3138 - 594 = 0. Calculate the remainder when w is divided by 40.
38
Suppose -4*a + 61 = -155. What is the remainder when a is divided by 28?
26
Let d(l) = 7*l + 4 - l + 22*l**3 - 20*l**3 - 4*l**2. Let n be d(3). What is the remainder when 24/n - 602/(-5) is divided by 31?
28
Suppose -5*t - 202 = -2*q, -6*t = 3*q - 3*t - 345. What is the remainder when q is divided by 8?
7
Suppose -5*z = -14942 + 4422. Suppose -m + 1062 = 2*q + q, q - z = -2*m. What is the remainder when 30 is divided by m/65 + 2/(-13)?
14
Suppose d = -2*f, d + 5 = -2*f - f. What is the remainder when 829 is divided by d?
9
Suppose 4*k + 0 = 4. Let f = -17 - -30. What is the remainder when 1/1 - (k + -49) is divided by f?
10
Let i be ((-2)/1)/(2/(-5)). Suppose 0 = -0*n - 2*n + i*u + 19, -n + 2*u = -8. Suppose n*s - 182 = -62. What is the remainder when s is divided by 21?
18
Let t = -41 + 21. Calculate the remainder when (-1700)/t + 0/1 is divided by 29.
27
Suppose -630*u + 189 = -627*u. Calculate the remainder when u is divided by 28.
7
Let q = 210 - 416. Suppose i = -5*g + 91, 5*i - 371 = -2*g + 5*g. What is the remainder when i is divided by (-6)/(-24) + q/(-8)?
24
Suppose -470 - 34 = -4*i. What is the remainder when i is divided by 43?
40
Suppose -6*r + 211 = -5*r. Suppose r + 109 = 3*n + 4*a, 0 = -5*n - a + 522. Calculate the remainder when n is divided by 15.
14
Suppose -3*x - 4*i - 187 = -0*x, -4*i = -20. Let q = x - -105. Calculate the remainder when 105 is divided by q.
33
Let u(g) = g**3 + 3*g**2 - 5*g - 4. Let c be u(-4). Let k be (c - 0) + -2 + 22. Calculate the remainder when (21/2)/(5/k) is divided by 11.
9
Let b(w) = w**3 + 19*w**2 + w + 27. Suppose 8*p - 5*p = 2*h + 38, 5*p - 38 = 2*h. What is the remainder when 15 is divided by b(h)?
7
Suppose 1829 = -18*i + 16643. What is the remainder when i is divided by 138?
133
Suppose 0*g = 18*g - 378. Calculate the remainder when 29 is divided by g.
8
Suppose 5*g - 2*j = 155, 13*g + 155 = 18*g + j. Suppose -4*v = v - 3*p, 3 = 4*v - 3*p. Calculate the remainder when g is divided by (v/(-2) + -2)*-24.
7
Let q(i) = 3*i + 22. Let r be q(-6). Suppose -3*m + r*w + 150 = -32, 3*w + 285 = 5*m. Calculate the remainder when m is divided by 14.
12
Let c = 840 + -737. What is the remainder when 207 is divided by c?
1
Suppose 3*h + 6 - 39 = 0. Suppose 4*s - 88 - 216 = 4*o, -4*o = 5*s - 371. What is the remainder when s is divided by h?
9
Let f be ((-14)/3)/(2/6). Let b = f - -14. Suppose b = r + 3*m - 34, 4*r - m - 171 - 17 = 0. What is the remainder when r is divided by 12?
10
Let f(a) = 10*a + 49. Suppose 0 = -3*y - 3*u + 51, 0 = 3*y + 5*u - 41 - 4. Calculate the remainder when f(7) is divided by y.
19
Let f = 475 + 188. What is the remainder when f is divided by 220?
3
Let s(h) = -10*h - 1. Let n be s(1). Let f = n + 28. What is the remainder when f is divided by 6?
5
Let o(z) = -4*z**2 - 45*z + 12. What is the remainder when 6/(-21) + 606/14 is divided by o(-11)?
20
Suppose 5 = -2*r + 93. Suppose -7*n + 889 = -28. Calculate the remainder when n is divided by r.
43
Let y(d) = d**2 + 9*d + 118. Calculate the remainder when y(-12) is divided by 39.
37
Let g(w) = 4*w + 49. Let 