remainder when 44 is divided by r.
21
Suppose 0 = -2*u + 6*u. Suppose -3*r + u = 6. What is the remainder when 62/(-2*(-3 - r)) is divided by 11?
9
Suppose -2*d = 5 + 3. Let u(w) = w**3 + 4*w**2 - 5*w + 2. What is the remainder when 64 is divided by u(d)?
20
Suppose -5*z + 4*i + 665 = 0, -2*i + 793 = 5*z + 158. Calculate the remainder when z is divided by 33.
30
Let o be (-20)/(-2)*2/4. Suppose -o*m + 16 = -m. Suppose 4*x - 3*g - 27 - 9 = 0, g = 0. Calculate the remainder when x is divided by m.
1
Let k(y) = 5*y**2. Let b(l) = -2*l + 4. Let c be b(-5). Suppose -v = -4*w - c, 0 = -5*v + 2*w + 15 + 1. What is the remainder when 38 is divided by k(v)?
18
Let s = -19 - -81. Suppose 5*y = x - 5*x + s, -2*x + 3*y = -42. What is the remainder when 52 is divided by x?
16
Let x(j) = j**2 + j. Let m(p) = p**3 - 11*p**2 - 2*p - 3. Let f(i) = -m(i) - 5*x(i). Let a = -1 + 6. What is the remainder when 37 is divided by f(a)?
11
Let m = -7 - -11. Let g = 4 + m. What is the remainder when 22 is divided by g?
6
Let t be ((-33)/2)/(15/(-20)). Let y = -11 + t. Calculate the remainder when (-4)/(-10) + (-158)/(-5) is divided by y.
10
Suppose -2*t - 2*t = -92. What is the remainder when t is divided by 45/18*(9 + -7)?
3
Let b = -143 - -218. Let r = b - 49. What is the remainder when r is divided by 9?
8
Let p(r) = -r - 1. What is the remainder when 11 is divided by p(-7)?
5
What is the remainder when 93/(6*(0 - 1/(-8))) is divided by 14?
12
Let k be (5 - 5) + -41 + -1. Let f = -29 - k. Calculate the remainder when 25 is divided by f.
12
Suppose -2*a = -5*c - 199, a = -3*a - 5*c + 353. What is the remainder when a is divided by 24?
20
Let q(f) = f**3 + 7*f**2 - 10*f + 9. Calculate the remainder when q(-8) is divided by 7.
4
Let d(b) = b**2 - 4*b - 1. Suppose -3*c = c + 12. Calculate the remainder when d(c) is divided by 7.
6
Suppose -4*v + 0*v + w + 1884 = 0, -1900 = -4*v + 5*w. Suppose q + 4*q = v. Calculate the remainder when q is divided by 32.
30
Let t(w) = w**3 + 14*w**2 + 37*w - 7. Calculate the remainder when t(-7) is divided by 26.
25
Suppose -5*z - 2*o + 92 + 75 = 0, 3*z - 3*o = 96. Calculate the remainder when 90 is divided by z.
24
Let k be 558/21 + 6/14. Let l = k - 15. Calculate the remainder when 23 is divided by l.
11
Suppose 124 = -6*n + 2*n. Let d = n + 56. Calculate the remainder when d is divided by (1/3)/(1/21).
4
Let j = 221 - 128. What is the remainder when j is divided by 24?
21
Suppose 5*c + 450 = 135. Let j = 108 + c. Calculate the remainder when j is divided by 12.
9
Suppose 0*o + o - 6 = 0. Let u = o - 4. What is the remainder when u is divided by (-4)/(-5)*(-5)/(-2)?
0
Let t = -18 + 33. Calculate the remainder when t is divided by 4.
3
Suppose 59*h = 58*h + 21. Let p(x) = 82*x**2 - x. Calculate the remainder when p(-1) is divided by h.
20
Suppose -132 = -n + l + 13, 4*n + 5*l = 598. Suppose 9*w = 4*w - p + 249, -3*w - 3*p = -n. Calculate the remainder when w is divided by 13.
11
Suppose c = 3*l - 449, -c = -2*c - 2. What is the remainder when l is divided by 19?
16
Suppose -22 = -6*k + 5*k. What is the remainder when 41 is divided by k?
19
What is the remainder when 83 is divided by (-2)/(-12)*125 + (-54)/(-324)?
20
Calculate the remainder when 15 is divided by (4/(-1))/((-1)/2).
7
Let n(o) = o**3 - 2*o**2 - 3*o - 2. Let c be n(3). Let z(r) = r**2 - r - 4. Let s be z(-2). Calculate the remainder when 28 is divided by (c - 3)/((-1)/s).
8
Suppose 0 = 2*r - 204 + 116. Calculate the remainder when r is divided by 12.
8
Suppose -4*c + 70 = 4*t + t, 0 = -t + 2. What is the remainder when 26 is divided by c?
11
Let z(a) = a**2 - 8*a - 18. What is the remainder when z(13) is divided by 25?
22
Let b = -7 + 10. Suppose -z - 15 = -2*z - 3*k, 4*z - 24 = -b*k. Let c = 36 + z. Calculate the remainder when c is divided by 20.
19
Suppose y = 12 - 2. Calculate the remainder when 36 + 3 + (-2)/2 is divided by y.
8
Let u(t) be the second derivative of -t**3/3 + t**2 + t. Suppose 5*s = 3*a + 146, 187 = 5*s + 2*a + 51. What is the remainder when s is divided by u(-4)?
8
Let i(h) = -3*h**2 - 2*h**2 + 2 + 5*h**2 + 6*h + h**2. Calculate the remainder when 53 is divided by i(-8).
17
Suppose d + 40 = 6*d. What is the remainder when 29 is divided by d?
5
Suppose 0 = 5*r + 10, -2*p + 5*p + r - 19 = 0. Calculate the remainder when 33 is divided by p.
5
Let b be (-1)/3 + 1196/(-39). Let y = b - -46. Calculate the remainder when 44 is divided by y.
14
Suppose 2*m - 5 = 5*x - 59, 2*m - 66 = -5*x. What is the remainder when x is divided by 7?
5
Let x(r) = -r**2 - 8*r + 7. Let s be -1*(6 + -1 + 1). Let g = 25 + -15. What is the remainder when x(s) is divided by g?
9
Let o(z) = 5*z**2 - 10. Calculate the remainder when o(-4) is divided by 18.
16
Let z = 28 - 4. What is the remainder when z is divided by -5 - 0 - (-27 + 9)?
11
Let a(l) = 2*l**3 - 3*l + 2. Suppose 0 = 2*g + 2, 41 + 105 = 4*s - 2*g. Let r = s + -20. Calculate the remainder when a(3) is divided by r.
15
Let w(f) = 2*f**2 - 3*f - 7. Let j be w(8). Let r = j + -63. What is the remainder when r is divided by 12?
10
Suppose -6 = 4*s - 7*s. Suppose 2*a - 4 = d, 0 = -8*a + 3*a - d + 10. Suppose s*f + a*f = 36. What is the remainder when 26 is divided by f?
8
Suppose -k + 6*k = 3*g, 0 = 3*k + 2*g + 19. Suppose -5*f + 48 = -2*f. Let t = f + k. What is the remainder when 25 is divided by t?
12
Let c be (-2125)/(-45) - 4/18. Let y = 2 + c. Suppose 2*m = -u + 63, 3*m - 2*m - 3*u - y = 0. Calculate the remainder when m is divided by 12.
10
Suppose n + 5*n - 96 = 0. Suppose -2*o - 116 = -5*o - 5*t, -5*t = -2*o + 69. What is the remainder when o is divided by 8/n - 74/(-4)?
18
Let w = 117 + -208. What is the remainder when (-623)/w + (-4)/(-26) is divided by 2?
1
Suppose 4*c + 19 = 5*h + 74, 5*c + h = 76. Let m(d) = -d**2 - 10*d + 6. What is the remainder when c is divided by m(-10)?
3
Let r = -38 - -58. Let x = 4 + 3. Calculate the remainder when r is divided by x.
6
Suppose 0*d + 52 = 2*d. Let s = 98 - 203. Calculate the remainder when d is divided by s/(-12) + (-2)/(-8).
8
Let b be (-39)/(-6) + 1/2. Suppose -b*c + 6*c = -87. What is the remainder when c is divided by 22?
21
Suppose -4*f = -14 + 2. Let x(t) = -t**3 - 14*t**2 - 22*t - 112. Calculate the remainder when x(-13) is divided by f.
2
Suppose -13*t - 48 = -15*t. What is the remainder when t is divided by 13?
11
Suppose 0 = 4*r - 14*r + 140. Suppose 4*g - 3*w = -36, 18 + 0 = -2*g - 5*w. What is the remainder when r is divided by 32/6 + 3/g?
4
Let y(a) = 6*a + 2. What is the remainder when 112 is divided by y(6)?
36
Let o = 19 - 6. Let v = o - 6. Calculate the remainder when v is divided by 2.
1
What is the remainder when 14/((-6)/(-88) - 36/(-198)) is divided by 29?
27
Let s be (-1 - 0 - -3)*1. Suppose -3*r + r = -s*o + 82, 0 = 5*o + 4*r - 232. Calculate the remainder when o is divided by 15.
14
Suppose 0 = -2*o + p + 71, 0*p - 121 = -4*o - 5*p. Let v = 65 - o. Suppose 55 = 5*l + 5*z, -l + 8 = -z - 3. What is the remainder when v is divided by l?
9
Let s be (-30)/(-8) - 4/(-16). Suppose 90 + 32 = -3*a + s*v, 2*a = 4*v - 80. What is the remainder when ((-4)/6)/(1/a) is divided by 10?
8
Let h = 62 + -102. Let g = 60 + h. Calculate the remainder when 39 is divided by g.
19
Let v(w) = 35*w**2 + 4*w + 2. Calculate the remainder when v(-1) is divided by 9.
6
Let f(u) = -u**3 + 2*u. Let w be f(-2). Suppose 0 = -3*x + x + w. What is the remainder when 0 + x + 4/2 is divided by 3?
1
Let o(v) = 44*v**3. Let a be o(1). Let s = a - 12. Suppose -4*q - s = -c, -c - q + 55 = c. Calculate the remainder when c is divided by 10.
8
Suppose 0 = -3*x - 2*x. Suppose 0 = -x*l - 2*l. Calculate the remainder when 17 is divided by -1 - (l + 10/(-1)).
8
Let i(c) = -c**2 - 11*c + 1. What is the remainder when i(-9) is divided by 7?
5
Suppose 4*f + 1 = 61. Suppose 0 = -z + 7 + 36. What is the remainder when z is divided by f?
13
Suppose -4*c + 0 = 5*d - 21, -3*c - 3 = 0. Suppose 0 = -d*p + 2*z + 1, 3*p - z - 1 = -0*p. What is the remainder when 2 is divided by p?
0
Suppose 0 = -3*o, -2*o = -4*r - 0*r + 52. Let t(m) = -13*m**2 - 61*m + 2. What is the remainder when t(-4) is divided by r?
12
Let f = 148 + -93. Calculate the remainder when f is divided by 14.
13
Let f = 47 + -9. Let s = -7 