.
11
Let o be 13/(-5) + (-12)/30. Calculate the remainder when (-4)/(-6)*9*3 is divided by (57/38)/(o/(-20)).
8
Suppose -43*f + 5050 = -1357. What is the remainder when f is divided by 11?
6
What is the remainder when ((-4)/(-38) + (-40392)/342)/(-1) is divided by 20?
18
Calculate the remainder when 49 is divided by (-2)/(-1 + -1)*(16 + 9).
24
Let f = 33 - 21. Calculate the remainder when f is divided by 29/6 + (-2)/(-12).
2
Let c = 1 + 9. Let s = c - 20. Calculate the remainder when 26/((-5)/(s/4)) is divided by 5.
3
Calculate the remainder when 272 is divided by ((-5)/(-4))/(-6 - (-968)/160).
22
Suppose -m - 25 = -2*a - 91, -3*a = 4*m - 297. Let g = 79 - m. What is the remainder when 20 is divided by g?
6
Suppose 94*h + 2579 = 23823. Calculate the remainder when h is divided by 116.
110
Let f = -199 + 211. Calculate the remainder when 166 is divided by f.
10
Suppose 4*p + x = -4*x - 1, x + 29 = 4*p. Let r(c) = -c**3 + 6*c**2 + c + 1. Calculate the remainder when r(p) is divided by 1/(-1 - 6/(-4)).
1
Let m(b) = -3*b + 29. Let k be m(8). Suppose 5*u = 2*v + 4*u, k*u - 24 = -2*v. What is the remainder when 5 + (0 - -1 - 2) is divided by v?
0
Suppose -13 - 2 = -3*w. Calculate the remainder when 519/9 - w/(-15) is divided by 20.
18
Let x(h) = -h**3 - 12*h**2 - 38*h - 9. What is the remainder when x(-9) is divided by 34?
22
Let z(j) = -j**2 + 10*j + 6. Let f be z(6). Let n = -1 + f. Suppose -22*g + 18*g + 64 = 0. Calculate the remainder when n is divided by g.
13
Suppose 0*o - 2*o = -20. Suppose 6 = -t + 2*t - 2*r, -2*t + 28 = 4*r. Calculate the remainder when 4/o - 744/(-40) is divided by t.
9
Suppose y + 63 = 4*y. Calculate the remainder when (-1 - y)/((-9)/3 - -1) is divided by 6.
5
Suppose 4*i - 3 + 35 = 0. Calculate the remainder when 30 is divided by i/(-12)*3 + 9.
8
Suppose -2*u = 5*u - 399. Suppose -2*q + 3*j = -u, 4*j = -4*q - 0*j + 84. What is the remainder when q is divided by 12?
0
Suppose 43*c = 2791 + 1939. What is the remainder when c is divided by 44?
22
Let y = 88 + -84. Let q = -58 + 93. Calculate the remainder when q is divided by y.
3
What is the remainder when 28 is divided by 34 - (-4 + (60 + -5)/5)?
1
Let a(m) = m**2 + 17*m + 30. Calculate the remainder when 94 is divided by a(-18).
46
Suppose -102 = -4*g - 26. Suppose 7 = l + g. What is the remainder when 53 is divided by (-333)/(-12) - (-9)/l?
26
Calculate the remainder when 499 is divided by 200/20 - (-2)/(-2).
4
Let x(y) = -3*y. Let g be x(-1). Suppose -g - 2 = -2*k + 5*u, 5*u = -5*k + 30. Calculate the remainder when 58 is divided by k.
3
Suppose -4*a - 35 = -9*a. Suppose d + 0 + 5 = -c, 0 = -5*c. Let r = 20 - d. Calculate the remainder when r is divided by a.
4
Suppose 14*t - 660 = 9*t. Let w = t - 73. Let g(l) = 3*l**2 + 6*l + 6. Calculate the remainder when w is divided by g(-4).
29
Suppose 8 + 4 = 3*f. Suppose -j = 3*i + 13, -2*j = -5*j - 3. Calculate the remainder when 75 is divided by ((-38)/i)/(f/8).
18
Suppose 294 = 2*n - 48. Calculate the remainder when n is divided by 170.
1
Let v = 305 + -286. What is the remainder when v is divided by 4?
3
Suppose -1980 + 240 = -4*y. Suppose 0 = -5*g + 5*z + y, 2*g + 0*z - 186 = -4*z. Calculate the remainder when g is divided by 30.
29
Suppose 3*o - 642 = o. Suppose -z + 0*z = -5*n - 783, 2*n = 3*z - o. What is the remainder when 19 is divided by (-2)/14 - n/14?
8
Suppose -62 = 10*p - 362. Calculate the remainder when 79 is divided by p.
19
Let y(u) = -19*u - 2. Let q be y(-2). Suppose -5*i + 6*i - q = 0. What is the remainder when i is divided by 10?
6
Let b = 255 + -3. What is the remainder when b is divided by 17?
14
Suppose 5*j + 3*i - 47 = 0, 5*j - 35 - 8 = -2*i. Suppose 4*r - 35 = -o, 0 = -5*r + 3*r + 3*o + j. Calculate the remainder when 31 is divided by r.
7
Let w be 10*(44/20 + -1). Suppose 0*a + d = -3*a + 15, -4*d + w = 0. Let h(l) = 15*l + 1. Calculate the remainder when h(a) is divided by 16.
13
Suppose -y + m + 19 = 0, -2*m = -2*y + 5*y - 67. Calculate the remainder when 250 is divided by y.
19
Suppose -9*k - 290 + 1172 = 0. What is the remainder when k is divided by 18?
8
Let o(q) = 4*q**2 + 18*q + 8. Calculate the remainder when 69 is divided by o(-5).
15
Suppose 24 = 6*z - 24. Suppose 7*t + 38 = z*t. What is the remainder when t is divided by 3?
2
Let h(r) = -4*r - 4. Let s be h(-2). Suppose 76 = 7*v - 3*v. What is the remainder when v is divided by 0/s - -1*5?
4
Let t = 5 - 3. Suppose -f - 45 = t*f. Let d = -4 - f. What is the remainder when 19 is divided by d?
8
Let u = -26 - -26. Let m = 39 - u. What is the remainder when m is divided by 14?
11
What is the remainder when 101 is divided by (35/(-4))/((-6)/24)?
31
Let a(h) = 23*h + 10*h**2 - 10*h**2 + 7*h**2 - 1 - 10*h. Calculate the remainder when a(-4) is divided by 5.
4
Let f be (2 - 24/15)*-30. Let v = 17 + f. Suppose -3*j - 5*i = -119, 5*j - v*i = 80 + 65. Calculate the remainder when j is divided by 12.
9
Let o(r) = r**3 + 12*r**2 + 8*r + 4. Let t = 110 + -102. What is the remainder when o(-11) is divided by t?
5
Let p(s) = s + 11. Let h be p(-8). Suppose 0 = 2*l - h*t - 125, -2*l = 3*l + t - 270. Calculate the remainder when l is divided by 14.
13
Let s(a) = -a**3 + 7*a**2 - 7*a + 1. Let t(c) = 2*c**2 + 25*c - 6. Let k be t(-13). Suppose 8*z = k*z + 30. What is the remainder when z is divided by s(5)?
14
Let w = 21 + -18. Let y be (-2)/(-3)*36/8. Calculate the remainder when 21 is divided by y/(-3)*(-8 - w).
10
Let t(s) = 48*s**2 + 2*s + 3. What is the remainder when t(-1) is divided by 14?
7
Let n = -60 - -67. Suppose -n*m + 444 = -74. What is the remainder when m is divided by 15?
14
Let j = -3 - -30. Let b = 24 + j. Let y(k) = -3*k + 4. Calculate the remainder when b is divided by y(-3).
12
Calculate the remainder when 470 is divided by 11 + -14 - (-66 - -4)/1.
57
Let j = 122 + -17. Let c(r) = r**2 - 3*r - 8. Calculate the remainder when ((-54)/(-15))/(14/j) is divided by c(6).
7
Let x be 1266/(-4) - 33/(-22). Let m = -186 - x. What is the remainder when m is divided by 33?
30
Let s(k) = -k**2 - 5*k + 2. Let h be s(-6). Let q be -6*(-1 + h/(-12)). Suppose -m - 45 = -q*m. Calculate the remainder when 42 is divided by m.
12
What is the remainder when 39 is divided by 80/(-12)*(-3)/2?
9
Suppose -754*z - 18 = -760*z. What is the remainder when 5 is divided by z?
2
Let n(r) = 44*r + 22. Let t be n(5). Suppose -t = -5*k + 98. Calculate the remainder when k is divided by 23.
22
Calculate the remainder when 310 is divided by 1/((-1 - -5)/36).
4
Let f(w) = w**3 - 4*w**2 - 13*w + 4. Let h be f(6). Let c = 0 + 4. Calculate the remainder when c is divided by (-30)/(-21) + h*(-4)/14.
0
Suppose -5*p + 656 + 69 = 0. Suppose 2*y - 6*v = -v + p, -4*v = 2*y - 136. Suppose 5*a - y = -10. What is the remainder when 33 is divided by a?
9
Let o(v) be the second derivative of v**4/6 - 2*v**3/3 + v**2/2 + 11*v. Calculate the remainder when 23 is divided by o(3).
2
Let s = 62 - 18. What is the remainder when 439 is divided by s?
43
Suppose 3*j - 2*s - 153 = -5*s, 5*s - 25 = 0. Let y = 36 - 12. What is the remainder when j is divided by y?
22
Let z = -94 + 72. Let i = 19 - z. What is the remainder when i is divided by 14?
13
Let m be (60/16)/((-3)/(-8)). Suppose m = 4*q - 3*q. What is the remainder when q is divided by (-2 - 5/(-2))*8?
2
Suppose 0*c = 5*c - 60. Suppose 4*v - c = 4. Let u(t) = -5*t + 1. What is the remainder when u(-2) is divided by v?
3
Let u(y) = y**3 + 5*y**2 - 15*y - 13. Let f be u(-6). Suppose b + 9 = 2*w + 34, 2*b - f = -5*w. What is the remainder when b is divided by 12?
11
Let g(j) = -3*j + 7. Let u be g(-3). Suppose -u*i + 14*i = -44. Suppose 3*h - 6 = 183. Calculate the remainder when h is divided by i.
19
Let c(q) = 2*q**2 + 2*q + 5. Let l(t) = 4*t + 10. Let v be l(-4). Let h(z) = 2*z + 9. Let w be h(v). What is the remainder when 66 is divided by c(w)?
15
Let a(c) = -c**3 + c**2 + 1. Let k(u) = -5*u**3 + 6*u**2 - u - 5. Let l(m) = 6*a(m) - k(m). Calculate the remainder when 54 is divided by l(0).
10
Suppose 7*j + 1020 = 24*j. Calculate the remainder when j is divided by 49.
11
Let z(a) = 209*a**2 - 1. Suppose 110*x - 108*x - 2 = 0. Calculate the remainder when z(x) is divided by 53.
49
Suppose -5*x + 24 = m, -2*m + 3 = -0*x + x. What is the