culate the remainder when (1 + 0)/(0 - 1/p) is divided by 5.
3
Let j(g) = -2*g + 69. Let a(d) = 2*d**2 + 6*d. Let m be a(-4). Suppose 0 = 2*i - m, -i - 30 = -y - 9. Calculate the remainder when y is divided by j(30).
7
Let o be (-2)/((-4)/10) - 1. Let z be (-20 - (5 - 1))*(-3)/2. Suppose z = 3*w + 2*n + n, -o*n + 20 = 2*w. Calculate the remainder when 53 is divided by w.
11
Let w(j) = 3 - 16*j**3 + 15*j**3 - 2 + j**2 + 3*j. Calculate the remainder when w(-4) is divided by 18.
15
Let q = 924 - 858. What is the remainder when 921 is divided by q?
63
Let i = -25 + 3. Let o = i - -50. Calculate the remainder when 79 is divided by o.
23
Let n be -4 - (3 + 14 + -3). Let y(v) = -2*v + 13. Suppose 4*j = j + 39. Calculate the remainder when y(n) is divided by j.
10
Let j = -3 + 9. Suppose p = -x, 3*x - p + 4 = j*x. Let t = -4 + 10. Calculate the remainder when t is divided by x.
0
Suppose -5*h - 39 + 509 = 0. What is the remainder when h is divided by 24?
22
Let i = -19 + 24. Suppose -5*b - 5*c + 174 = -b, -i*b = 2*c - 226. Calculate the remainder when b is divided by 17.
12
What is the remainder when 895 is divided by ((-1)/2)/((-25)/3450)?
67
Suppose -3*i + 589 = 2*n, 0 = 4*n - 13*i + 18*i - 1177. What is the remainder when n is divided by 11?
7
Let q(p) = 262*p**2 + 3 + 261*p**2 - 522*p**2 - p. Suppose 0 = -0*l + 4*l + 20. Calculate the remainder when 62 is divided by q(l).
29
Suppose -v = 3*g + g + 5, 2*v = g + 8. Suppose v*z = 6*z - 210. Suppose -6*y = y - z. What is the remainder when y is divided by 6?
4
Let m(r) = 2*r**3 + 56*r**2 - 70*r + 20. Let g be m(-29). Let q = 5 + 0. Suppose q*x + 38 = g. Calculate the remainder when x is divided by 23.
20
Let n(g) = 4*g - 3. Suppose -4*f + 4*c = -12, -5*f - 4*c + 63 - 3 = 0. Calculate the remainder when n(6) is divided by f.
5
Let f = -429 - -455. Calculate the remainder when 154 is divided by f.
24
Suppose -4 = 4*t, -4*g - 2*t + 5*t = -3. Let u = g + 24. Calculate the remainder when u is divided by 10.
4
Let c(b) = 13*b + 4. Let z be c(3). Suppose -5*l + 5*u + 2 + z = 0, -l = 2*u. Suppose -5*q = -3*q - l. Calculate the remainder when 8 is divided by q.
2
Suppose -8*m + 30 = -3*m. Calculate the remainder when 8/10*50/4 is divided by m.
4
Calculate the remainder when 140 is divided by 302/6 + -2 + (-52)/39.
46
Let o(p) = p**2 + 21*p - 36. Calculate the remainder when 156 is divided by o(2).
6
Suppose -5*g + 5 = 40. Calculate the remainder when 60 is divided by (-1)/(((-22)/g - 3)/(-3)).
18
Let h(l) = l**3 + 3*l**2 + 7*l + 33. Calculate the remainder when 92 is divided by h(-3).
8
Let c = 17 - 13. Let m = c + 13. Suppose 0 = 2*w + 3*w - 50. What is the remainder when m is divided by w?
7
Suppose 0*a - 37 = -a. Let j(q) = q**3 - 12*q + 7. What is the remainder when j(5) is divided by a?
35
Let l(z) = z**2 + 100*z - 95*z - 4*z**3 + 7 + 3*z**3. What is the remainder when l(-3) is divided by 16?
12
Let p(t) = t**2 + 32*t - 750. Calculate the remainder when p(20) is divided by 138.
14
Let t(l) = -l**3 + 29*l**2 + 35*l + 56. What is the remainder when t(30) is divided by 42?
38
Suppose 16*v - 7896 = 20*v. Calculate the remainder when (2/(-4))/(7/v) is divided by 16.
13
Suppose 9*d = -2199 - 987. What is the remainder when (-30)/50 - d/15 is divided by 7?
2
Suppose 4*l = 1 + 23. Suppose -4*f - 28 = -l*f. What is the remainder when 54 is divided by f?
12
Let s = 10 - 73. Let c be ((-4)/12)/(1/s). Suppose -3*l + c + 6 = 0. What is the remainder when l is divided by 5?
4
Suppose -102*c + 106*c = 56. What is the remainder when 3889 is divided by c?
11
Let i be ((-12)/8)/((-6)/16). Suppose i*a - 50 = -a. Suppose 3*c = 8*c - 5*q - 100, -5*q = 2*c - 33. Calculate the remainder when c is divided by a.
9
Let j = 44 + -32. Suppose -2*w + 8 = -j. Calculate the remainder when 26 is divided by w.
6
Calculate the remainder when ((-395)/10)/(0 - 1/2) is divided by 4.
3
What is the remainder when (-2)/(-10)*-2 - 9378/(-45) is divided by 44 + 2/(2 - 3)?
40
Let d(s) = -s**2 + 15*s - 13. Let z(x) = 6*x + 2. Let b be z(3). Suppose 0 = 5*i - b - 10. What is the remainder when d(12) is divided by i?
5
Let p = -2 + -7. Let i(g) = g + 13. Let j be i(p). Suppose 40 + 4 = j*u. Calculate the remainder when u is divided by 3.
2
Let x(b) = -3*b**2 - 3*b. Let p = 31 - 33. Let y be x(p). Calculate the remainder when 2 is divided by -4 - y - (0 + 1).
0
Let x(z) = -5*z - 24. Calculate the remainder when 250 is divided by x(-9).
19
Let s = 81 + -11. Calculate the remainder when 349 is divided by s.
69
Let a(m) = 4*m + 295. What is the remainder when a(-26) is divided by 68?
55
Suppose -5*n = -d - 7, -5*n + 15 = 4*d - 7. What is the remainder when 32 is divided by d?
2
Suppose 3*s = 79 + 14. Let j = -17 + s. Calculate the remainder when (-4)/10 - 137/(-5) is divided by j.
13
Suppose -13 = 3*h - 25. Suppose 22 - 174 = h*k. Let b = -5 - k. What is the remainder when b is divided by 12?
9
Suppose 94 = 4*b - 2*w, 4*b = -3*w + 13 + 96. What is the remainder when b is divided by 20?
5
Let l be 26/7 - 4/(-14). Calculate the remainder when 25 is divided by ((-14)/(-8))/(3*l/48).
4
Let x = 1903 - 1892. Let l = -27 - -57. What is the remainder when l is divided by x?
8
Let z be 5/5 - (4 + -5). Suppose 0 = 3*d - z*p - 282, -448 = -3*d - p - 157. What is the remainder when d is divided by 25?
21
What is the remainder when 61 is divided by 30/(-6) - (1 - 2) - -8?
1
Suppose -92*h = -96*h + 104. Suppose -h = -10*w + 74. What is the remainder when 79 is divided by w?
9
Let n(u) = -u**2 - 11*u - 2. Let t be n(-11). Let m(s) = 3*s**2 - 2*s - 2. Calculate the remainder when 53 is divided by m(t).
11
Let l(s) = s**3 + 5*s**2 - s + 3. Let n = 12 - 15. Calculate the remainder when l(n) is divided by 13.
11
Suppose o = -5*r + 390, 0 = -5*o - 11 - 14. Suppose 549*w = 553*w + 12, -22 = -2*a + 2*w. Calculate the remainder when r is divided by a.
7
Let u = 262 - 82. Calculate the remainder when u is divided by ((-6)/4)/(21/(-364)).
24
Suppose -92*n = -94*n + 2. Calculate the remainder when 4 is divided by n.
0
Let f(p) = -p**3 - 12*p**2 - 3*p - 18. What is the remainder when f(-12) is divided by 18?
0
Suppose 3 - 19 = -4*d. Suppose d*s = -0*s + 92. What is the remainder when 90 is divided by s?
21
Calculate the remainder when (-94)/4*(1 - 3) is divided by 0 - -16 - (-28)/(56/(-8)).
11
Suppose u = -2*r + 18, 0 = 21*u - 22*u + 2. What is the remainder when 29 is divided by r?
5
What is the remainder when (1 + 0)/(18/1116) is divided by 7?
6
Suppose -25 = 2*t - 5*m, -m = -0*t + 3*t - 5. Suppose 5*l + 4*p = 70 + 103, -3*p - 9 = t. Calculate the remainder when l is divided by 13.
11
Suppose 38*g = 28*g + 440. Calculate the remainder when g is divided by 9.
8
Let f(n) = -5*n**3 - 12*n**2 - 5. Let s be f(-5). Suppose -4*b = -2*t - t - s, -2*b + 138 = 4*t. Calculate the remainder when b is divided by 21.
14
Suppose 0 = -2*p + 3*u + 157, 4*p - 5*u = -3*u + 326. Calculate the remainder when p is divided by 12.
11
Suppose 4*t = 5*y + 13, 3*t - 5*y - 6 = -0*t. Let a = 7 - t. Let f = a + 7. What is the remainder when 34 is divided by f?
6
Suppose 4*u - 7 = -15, -3*c + 2*u + 40 = 0. Let p(a) = -9*a + 16. Let w be p(-4). Let x = w + -7. What is the remainder when x is divided by c?
9
Let h(q) = 2*q**2 - 10*q + 8. Calculate the remainder when 127 is divided by h(7).
19
Suppose 3*p - 861 = -p + 5*t, -5*p - t + 1040 = 0. What is the remainder when p is divided by 42?
41
Suppose 4 = -0*d + 2*d, -5*w + 30 = 5*d. Suppose -4*v = -o + 106, -w*v + 3*v = 5*o - 509. What is the remainder when o is divided by 26?
24
Let h be (1/3)/((-3)/117). Calculate the remainder when -1 + 1/(-1) - h is divided by 3.
2
Suppose 86 = -4*p + 774. Let u = 68 + p. Suppose 4*i - 2*n - u = 0, 6*i - 3*i = n + 181. Calculate the remainder when i is divided by 32.
29
Let n(z) be the third derivative of z**6/120 - 3*z**5/20 + 5*z**4/12 + z**3/6 + 15*z**2. Let q = 6 + -1. What is the remainder when n(8) is divided by q?
2
Let t be ((-66)/(-12) - (5 + -2))*2. Let m = -1 + 5. Calculate the remainder when m is divided by (t + -1)*4/8.
0
Suppose 0 = -3*r - 5*j + 54, -12 = -3*j - j. Let y be 39/(2 + 15/(-9)). Let u = -81 + y. Calculate the remainder when u is divided by r.
10
Let o = -13 - -72. Suppose 3*p = -11 + o. What i