the remainder when (-4 + 1)*(3 + (-68)/2) is divided by 12.
9
Suppose 2 = -h + 1. Let t = h - -30. Suppose -25 = -5*z, 2*z - 362 = -3*k - 2*z. Calculate the remainder when k is divided by t.
27
Let o = 25 - 59. Suppose 2*c = -w - 48, 5*c + 119 = -5*w + 3*w. Let v = c - o. What is the remainder when v is divided by 3?
2
Suppose 6 = -q + 2. What is the remainder when 83 is divided by -2 + (2 - 0) - 7*q?
27
Let h = -15 - -26. Let a(x) = -x**3 - x**2 + 2*x - 5. Calculate the remainder when h is divided by a(-3).
4
Let f = -4 - -6. Let t(k) = -k**3 + 5*k**2 - k + 45. Calculate the remainder when t(6) is divided by f.
1
Let j = -11 - -164. Let c = j + -81. Suppose 0*d + 4*d - 60 = 0. Calculate the remainder when c is divided by d.
12
Let w = -74 - -126. Suppose -4*m + w = 5*b, 5*m - b = 14 + 51. What is the remainder when 77 is divided by m?
12
What is the remainder when 45 is divided by ((-4)/5 + 2)/((-6)/(-60))?
9
Let c(a) = -2*a**2 + 33*a - 6. What is the remainder when 152 is divided by c(15)?
35
Suppose 170*k - 178*k = -424. Calculate the remainder when 210 is divided by k.
51
Let v be 1/((-1)/4)*-1. Suppose v*d + 3 = 11. Suppose -d*r + 41 = -1. Calculate the remainder when r is divided by 6.
3
Let z(w) = -2*w**2 + 12*w + 34. What is the remainder when 59 is divided by z(0)?
25
Let b = -13 + 16. Calculate the remainder when 66*(b + (-3)/2) is divided by 34.
31
Let b(p) = p - 4 + p + 18*p**2 + 4 - 1. Let q = 18 - 17. What is the remainder when b(q) is divided by 10?
9
Let n be (-3 - 2) + 1 + 67. Let s be 4/(-14) + 522/n. Suppose s = p - 8. What is the remainder when 62 is divided by p?
14
Let j = -22 + 72. Suppose 4*h = -h + j. Suppose d = 36 - h. Calculate the remainder when d is divided by 9.
8
Let s(w) = w**3 + 7*w**2 - 11*w - 35. Let h be s(-8). Let q(t) = 2*t**2 + 16*t + 20. What is the remainder when q(h) is divided by 15?
11
Suppose -z + 110 + 5 = 0. Suppose -z = 4*k - 9*k. Calculate the remainder when k is divided by 13.
10
Suppose 0 = 4*w - 16 - 104. Let u(j) = j**2 + 19*j + 102. Calculate the remainder when w is divided by u(-10).
6
Let w = -24 - -74. What is the remainder when 96 is divided by w?
46
Let f(t) = -t**2 + 2*t + 5 - 5 + 2*t**2. Suppose 13 = 5*u + 3*b, 0 = 2*u - 3*b + b - 2. What is the remainder when 30 is divided by f(u)?
6
Let d(r) = r**2 + 2*r + 3. Let t be 9/2 + (-2)/4. Calculate the remainder when d(t) is divided by (120/18)/(4/6).
7
Let k = -902 + 976. Let n(u) = u**3 - 4*u**2 - 3*u + 5. What is the remainder when k is divided by n(5)?
14
Suppose -r + 15*o + 19 = 11*o, 2*r - 60 = -3*o. Calculate the remainder when r is divided by 5.
2
Suppose -3*l = -2*i + 6, 2*i + i = 4*l + 9. Calculate the remainder when (-2)/4*l - (0 - 263) is divided by 14.
11
Let p(l) = -l - 11. Let t be p(-10). Calculate the remainder when 15/(3*t/(-5)) is divided by 10.
5
Suppose -a = -1 - 10. Suppose -a*t = -79 + 24. Let v(i) = i + 8. Calculate the remainder when t is divided by v(-4).
1
Calculate the remainder when (-29)/((6/9*-3)/2) is divided by 24.
5
Suppose 5*t - 4*v + 12 = 0, -3*v + 0 = -3*t - 6. What is the remainder when 41 is divided by 114/8 - (-1)/t?
13
Let t = -822 + 847. What is the remainder when 52 is divided by t?
2
What is the remainder when 90/135*(153/1 - 0) is divided by 54?
48
Suppose -3*p + 0*q = 4*q - 263, 5*p - 395 = 2*q. Let f = p + -76. What is the remainder when 9 is divided by f?
4
Let x = -120 + 134. What is the remainder when x is divided by 8?
6
Let q(v) = 14*v - 2. Let j be q(-9). Let i = j + 183. What is the remainder when i is divided by 14?
13
Calculate the remainder when 107 is divided by 110/(-12)*300/(-50).
52
Suppose -2*t - v + 150 = v, 10 = -2*v. Suppose c - t = -3*c. Let q(l) = 10*l - 13. Calculate the remainder when q(9) is divided by c.
17
Suppose -o + 3*b + 10 = 1, -o - 4*b = -16. Let i = 12 - o. Suppose 5*t - d = 61, -t + i*d = -3*d - 1. Calculate the remainder when t is divided by 5.
3
Suppose 51 = 3*t - 33. Let v = -469 + 479. Calculate the remainder when t is divided by v.
8
Suppose 4 = 2*x, 2*o + 64 = 5*o + 5*x. What is the remainder when 135 is divided by o?
9
Calculate the remainder when 387/(-6)*2*-1 + -2 is divided by 66.
61
What is the remainder when 110 is divided by 26 - (-5 + (6 - 4))?
23
Calculate the remainder when 198 is divided by -20*3/(-12)*(-2)/(-5).
0
Suppose -4*k - 5*w - 3 = 0, 0*k - w = -3*k + 12. Suppose k*a = -a + 108. What is the remainder when a is divided by (-7)/((10/(-4))/5)?
13
Let i(b) = b**2 - 16*b + 23. Let y be i(15). Calculate the remainder when (-24)/9*(570/y)/(-5) is divided by 15.
8
Let n(z) = z**2 + 7*z - 28. Let l be n(13). Let u = l - 162. Calculate the remainder when u is divided by 15.
10
Suppose 34 + 47 = 3*y. Suppose 9 = 14*d - 11*d. Suppose 4*j + 42 = 7*j + 2*w, -j - d*w + 14 = 0. Calculate the remainder when y is divided by j.
13
Suppose 0 = 101*n - 100*n - 10. Suppose -9*v = -n*v + 13. What is the remainder when 104/2 + -2 + 1 is divided by v?
12
Suppose 0 = 5*h - 0*h - 25. Let y = -3 + h. Calculate the remainder when 5 is divided by 1/(-1) + (y - -1).
1
Suppose -4*o + 4*l + 16 = 0, -l - 9 = -5*o + 3*o. What is the remainder when 6 is divided by o?
1
Suppose -6*m + 25 - 1 = 0. Suppose -110 = -r - m*r. What is the remainder when r is divided by 6?
4
Suppose 8 + 16 = -f. Let v be (-105)/f - (-6)/(-16). Suppose 0 = -v*s - 4*z + 28, -4*z - 26 = -7*s + 2*s. Calculate the remainder when 16 is divided by s.
4
Suppose 4*r - 5*g - 6 = -0*r, -r + g + 2 = 0. Suppose 92 = r*j + 5*b, -6*j + 115 = -j + 4*b. What is the remainder when 42 is divided by j?
19
Suppose 10*h - 877 = 1053. What is the remainder when h is divided by 13?
11
Let n(f) = 4*f**2. Let q be (5 - 6 - -5)/(2 + -4). Calculate the remainder when n(q) is divided by 9.
7
Suppose 5*h + 36 = 2*a, 7*a = 3*a - 2*h + 24. Suppose 3*l = -c - 2*c + 42, -2*c = -4*l - 4. Let g = c + -5. What is the remainder when a is divided by g?
3
Let s(h) = h**2 - 7*h + 11. What is the remainder when 164 is divided by s(8)?
12
Calculate the remainder when 2326/12 - ((-100)/24 - -4) is divided by 39.
38
Suppose -2*o + 2*c + 26 = -208, -c = -4*o + 474. What is the remainder when o is divided by 56?
7
Suppose 2*b - 5*h = 1569, -4*b + 4*h = b - 3948. Calculate the remainder when b is divided by 53.
50
Suppose -1700 = 39*i - 10124. Calculate the remainder when i is divided by 70.
6
Suppose -6*m = -5*m - 11. Let p(n) be the second derivative of n**3/2 + 13*n**2/2 + 7*n. Calculate the remainder when p(6) is divided by m.
9
Calculate the remainder when (-9)/((-45)/395) + 4/(-2) is divided by 27.
23
Suppose 4*d = -4, -3*d + 1420 = p - 4*d. Calculate the remainder when p/21 - 6/(-14) is divided by 25.
18
Suppose -r + 35 = 7. Suppose 4*m = 3*m - r. What is the remainder when 1*4/(-4)*m is divided by 15?
13
Suppose -6*i = 2*i - 144. What is the remainder when 574 is divided by i?
16
Calculate the remainder when 2265 is divided by (-3)/2*(-1 - 23).
33
Let j = -3 - -15. What is the remainder when j is divided by (34/(-153))/((-4)/(-144)*-2)?
0
Let y = -538 - -552. What is the remainder when 179 is divided by y?
11
Let r = 32 - 24. Suppose j = 3*j - r. Suppose j*s = 2*s + 162. Calculate the remainder when s is divided by 14.
11
Suppose -4*x - 4 = -2*f + x, -5*x = 20. What is the remainder when 87 is divided by (-2*(-4)/f)/(2/(-36))?
15
Suppose 5*k + 3 = 3*y + 8, 3*y = -2*k + 23. What is the remainder when 11 is divided by y?
1
Let i(q) = -4*q - 28. Suppose k + 71 = 61. Calculate the remainder when 91 is divided by i(k).
7
Let v = 86 + -56. Calculate the remainder when v is divided by (0 - (-180)/(-25))*(-10)/4.
12
Let o(d) = -d**3 - 4*d**2 - d + 3. Let i = -1 - -8. Suppose 1 = -2*v - i. What is the remainder when 23 is divided by o(v)?
2
Let h be (4/6)/(8/480). Let q = 53 - h. Calculate the remainder when 47 is divided by q.
8
Suppose 4 = -5*k + 3*t + 69, 13 = k + 2*t. Let a(q) = 2*q - 22. Let b be a(14). What is the remainder when k is divided by 1*-1 - (1 - b)?
1
Let v(h) = h**2 + 15*h - 150. Calculate the remainder when 92 is divided by v(8).
24
Calculate the remainder when 2 - (-10 + 6 + -11) is divided by 7.
3
Let a = 33 - 36. What is the remainder when 31 is divided by (a - -15)/(9/6)?
7
Suppose -76 = -7*y + 141. What is the rem