*g + 22 = 4*i, 9*i = -2*g + 6*i + 24. Calculate the remainder when h is divided by g.
11
Suppose -6*f + 5*f = -18. Let k = -795 - -883. What is the remainder when k is divided by f?
16
Let v be (-2)/(-4) + (-30)/(-20). Suppose 2*i + 112 = 5*r, -r + 0*r = v*i - 20. Calculate the remainder when 39 is divided by r.
17
Let d(t) = -2*t - 8. Let p be d(-4). Let v be 2/(1 - (p + 0)). Suppose v*b + 30 = 4*b. Calculate the remainder when 72 is divided by b.
12
Suppose 5*p - 12 = -12. Suppose -4*j + 208 + 256 = p. What is the remainder when j is divided by 59?
57
Let j be (-7)/(-28) + (-51)/(-4). Suppose -3*o - j = -139. Suppose 3*s - s = o. Calculate the remainder when 59 is divided by s.
17
Suppose -5*r = -4*q - 0*r + 11, -2*q = 4*r - 12. Suppose 0 = -q*v + 8, -5*v + v + 22 = 2*o. What is the remainder when 32 is divided by o?
4
Let x = 30 + -28. Suppose i = 4*b - 130, x*i - 4*i - 95 = -3*b. Calculate the remainder when 163 is divided by b.
31
Let k(g) = g + 2. Calculate the remainder when 91 is divided by k(21).
22
Let d = -859 - -860. Calculate the remainder when 4 is divided by d.
0
Let h be ((-1)/(-3))/(4*(-1)/(-120)). Suppose 29 = 11*a - h*a. Calculate the remainder when a is divided by 16.
13
Suppose -m = 2*m - 12. Suppose -m*r + 41 = -5*b + 17, b - 12 = -2*r. Let d = 51 + -29. What is the remainder when d is divided by r?
4
Let d(g) = -18*g - 2. Let q(t) = t**3 - t**2 - 2*t + 2. Let o be q(2). Suppose 44 = -k + o*k. Calculate the remainder when k is divided by d(-1).
12
Let r be (-10)/((-8)/(-5) + -2). Suppose 3*d + 0*d = -12, h - 4*d = r. Let u = 22 + h. What is the remainder when u is divided by 17?
14
Let f(x) = x**2 + 52*x - 6. Calculate the remainder when f(5) is divided by 47.
44
Let p be (0/(-1))/(26 + -25). Suppose 0 = t + 4*h + 2, -2*t + 9 = -p*t - 5*h. What is the remainder when 15 is divided by t?
1
Let k = -29 - -38. Calculate the remainder when 188 is divided by k.
8
Let b(j) = 2*j - 8. Let q be b(13). Let y = 31 - q. Let i(d) = d**3 - 12*d**2 - 12*d + 18. What is the remainder when i(y) is divided by 11?
9
Suppose 0 = -3*u + 21 - 9. Suppose -u*k + 9*k + 5*t = 50, 18 = 5*k - 3*t. Calculate the remainder when 23 is divided by k.
5
Suppose 2*i = 105 - 81. What is the remainder when 14*(-2)/i*(1 + -34) is divided by 20?
17
Let n be (-148)/(-8)*4 - 0. Suppose 3*w - n = 373. Suppose -5*f - 2*y = -w, -y - 65 = -2*f - 9. Calculate the remainder when 86 is divided by f.
28
Let w(z) = 447 - 4*z + 0*z - 459 + 3*z. Calculate the remainder when 10/1 - (-5 - -4) is divided by w(-15).
2
Let a(w) be the third derivative of w**5/60 + 3*w**4/8 + 13*w**3/3 + 14*w**2. Calculate the remainder when 101 is divided by a(-9).
23
Suppose 0*y + 56 = 4*y. Suppose 4*a = 3*u + 91, u = -2*a + 2*u + 47. What is the remainder when a is divided by y?
11
Let s(d) = -2*d + 6. Let w be s(5). Calculate the remainder when (-8 + 1152/27)/(w/(-6)) is divided by 11.
8
Suppose 4*x + 4 = 8. Let o(w) = -x + 3*w - 6*w + 2. What is the remainder when o(-3) is divided by 6?
4
Let y = -393 + 486. What is the remainder when y is divided by 28?
9
Let r(w) = -w**2 - 11*w - 7. Suppose 2*h - 2*a + 27 = -h, 0 = -5*h + 5*a - 45. What is the remainder when 31 - (2 + -1*2) is divided by r(h)?
9
Let l(k) = 142*k - 70. Calculate the remainder when l(2) is divided by 50.
14
Let u(q) = -q**3 - 4*q**2 + 22. Calculate the remainder when 467 is divided by u(-5).
44
Let h be 42/9 - (-3)/9. Suppose h*a - 4*a = 5. Suppose -104 = -a*q + 21. What is the remainder when q is divided by 14?
11
Suppose f - 5*f + 88 = 4*i, 0 = 5*i - 5*f - 60. Calculate the remainder when i is divided by (0 - 1)/(-1) - (0 - 3).
1
Suppose 2*z + 2*m = 3*m + 4, 5*m = z + 7. Suppose -8*j - 4*n + 245 = -3*j, -z*n = -j + 68. What is the remainder when j is divided by 9?
8
Let l = -4 - -30. Let q be l*8/1 - -2. Suppose -15*k = -10*k - q. What is the remainder when k is divided by 11?
9
Let y(s) = -s**3 - 8*s**2 + 17*s - 22. Let q be y(-10). Suppose 9*l - 116 + q = 0. Suppose -2*h + 30 = -62. Calculate the remainder when h is divided by l.
10
Suppose 55*q - 3510 = 28*q. What is the remainder when q is divided by 61?
8
Suppose -24*w = -27*w. Suppose w*r = -r + 18. Let a = 156 - 104. What is the remainder when a is divided by r?
16
Let u(b) = b**2 - 6*b + 6. Suppose 5*i = -2*t - 16, -t - 8 = 2*i - 0*i. Let c = t - -14. Calculate the remainder when 9 is divided by u(c).
3
Calculate the remainder when (2 - 4376/(-72)) + 4/18 is divided by 14.
7
Suppose 10*t - 11*t + 63 = 0. Calculate the remainder when t is divided by -2 + 16 + 1*2.
15
Let s = -1034 - -1320. What is the remainder when s is divided by 53?
21
Suppose -2 = -2*p + p. Let k = -132 + 130. What is the remainder when p is divided by (-10 + 13)*(k - 14/(-6))?
0
Suppose 2*j - 106 = 4*w, -w + 3 = -4*w. Calculate the remainder when j is divided by 26.
25
Let i = -37 - -107. What is the remainder when i is divided by 37?
33
Suppose -4 + 32 = 14*q. Let s(a) = 2*a + 2 - 2*a + 7*a. Calculate the remainder when 30 is divided by s(q).
14
Let d = 108 + -75. What is the remainder when 159 is divided by d?
27
Let g = 120 + -67. Suppose -52*l = -g*l + 12. Let j(t) = 4*t**2 + 2*t + 1. Calculate the remainder when j(2) is divided by l.
9
Let i(v) = -v**2 + 9*v + 4. Let t = 2571 + -2452. Calculate the remainder when t is divided by i(5).
23
Suppose -5*b = -4*b - 10. Let n(q) = -3*q + 40. Let i be n(0). Let y = i - 22. Calculate the remainder when y is divided by b.
8
Let i(f) = f**2 - 20*f - 144. Suppose a = 2*a - 21. What is the remainder when a is divided by i(26)?
9
Suppose 0 = 2*x - 2 - 10. Let s = 28 - 24. What is the remainder when x is divided by (s + -5)/((-2)/8)?
2
Suppose 5*u = 4*y - y - 40, 0 = 3*y + 2*u - 47. Suppose 11*p + 40 = y*p. What is the remainder when 37 is divided by p?
7
Let k = 17 + 119. What is the remainder when k is divided by 35?
31
Let x(h) = 2*h + 5. Let z be x(5). Let d = -5 + z. What is the remainder when d is divided by 3?
1
Suppose -5*c + 23 + 51 = 3*n, -n + 62 = 4*c. Let p = c + -42. What is the remainder when 37 is divided by 3*(-1)/(6/p)?
11
Let r = -118 - -55. What is the remainder when 7 is divided by (-140)/r + 6/(-27)?
1
Suppose 0 = 2*t - 55 - 107. Let a = 1383 + -1362. What is the remainder when t is divided by a?
18
What is the remainder when 32 is divided by (-10)/((-2)/4*(-1 + 2))?
12
Let b be ((-12)/5)/(((-2)/5)/2). Calculate the remainder when 32/3 - (2 - 6)/b is divided by 7.
4
Let p(l) = l**3 - 14*l**2 + 112. Calculate the remainder when p(15) is divided by 84.
1
Let s = -40 + 35. Let g(m) = -2*m - 6. What is the remainder when 4/1*(-21)/(-12) is divided by g(s)?
3
Let c = 4404 + -4391. Suppose -3*v + l = -7*v + 84, -5*v + 104 = l. Calculate the remainder when v is divided by c.
7
Let o(f) = 29*f**2 + f - 4. Let p be o(-2). Suppose -5*s = -p - 30. What is the remainder when 111 is divided by s?
27
Suppose -126 = -3*r + 5*c, -3*r - 7*c + 147 = -5*c. Suppose -20 - 32 = -4*y + 3*s, 2*y - 24 = s. Calculate the remainder when r is divided by y.
7
Suppose 120 = 15*a - 9*a. Calculate the remainder when 317 is divided by a.
17
Let j(b) = -5*b - 18. Let z(l) = 4*l - 1 + 13 + 5. Let n(q) = 3*j(q) + 4*z(q). What is the remainder when n(6) is divided by 13?
7
Let x(p) = 7*p + 162. Calculate the remainder when x(9) is divided by 49.
29
Let p(o) = 5*o + 3. Suppose -13 = -3*z + 23. What is the remainder when p(z) is divided by 16?
15
Suppose -5*h + 14 = -2*w, h + 2*h + 4*w = -2. Suppose 14 = 4*k + h. Calculate the remainder when 6 is divided by k.
0
Let y(c) = c**3 - 7*c**2 - 28*c + 60. What is the remainder when y(10) is divided by 3?
2
Let z(m) = -6 - 3 - 5*m + 6 + 1 - 4*m**2 - 2*m**3. Let w = 21 + -4. What is the remainder when z(-3) is divided by w?
14
Suppose 297*q - 28 = 290*q. What is the remainder when 17 is divided by q?
1
Let u(y) = 7*y + 90. Let o = -28 + 45. What is the remainder when u(-6) is divided by o?
14
Suppose -5*t + 71 + 474 = 0. Calculate the remainder when t is divided by (-4590)/(-180) + 7/(-2).
21
Suppose -2*g + 3*q = -71, -q - 3*q = 2*g - 64. Let u = 13 - -5. What is the remainder when g is divided by u?
16
Suppose -h = -5*h + 56. Suppose 0 = -9*u + 3*u + 402. Calculate the remainder when u is divided by h.
11
Let r(k) = k + 12