8. Calculate the remainder when k is divided by r.
9
Suppose 0 = 2*t - 0*t + 3*f - 165, 3*t - 2*f = 241. What is the remainder when t is divided by (-1 - -8)/((-1)/(-3))?
18
Let s(m) = 52*m**2 - 138*m - 272. Calculate the remainder when s(-2) is divided by 20.
12
Let q(z) = -z**3 - z**2 - 2*z - 2. Let g be q(-2). Let x(j) = 7 + 7*j**2 - 7 - j**3 + 1 - 4*j. Calculate the remainder when 24 is divided by x(g).
11
Let q be (-987)/14*(-2)/3*1. Suppose i = -2*k + 114, -i + 165 = 4*k + q. Calculate the remainder when i is divided by 16.
14
Let i(t) = t**3 - 18*t**2 + 15*t + 4. Let d be i(17). Let u = -11 - d. Let c(a) = a**3 + 5*a**2 - 3*a - 5. What is the remainder when u is divided by c(-5)?
9
Let p(n) = -84*n - 363. Calculate the remainder when p(-5) is divided by 6.
3
Let a(y) = y - 10. Let g be a(-18). What is the remainder when (-6)/(-21) - 552/g is divided by 12?
8
Suppose 0 = t + 4 - 51. Let s = -24 + t. Calculate the remainder when 67 is divided by s.
21
Suppose -4*k + 362 = -4*q - q, -q = -k + 90. Let w = -47 + k. Calculate the remainder when 163 is divided by w.
40
Suppose -w - 6*w = -4*w. Suppose 3*r - g - 129 = g, 5*r - g - 208 = w. What is the remainder when r is divided by 9?
5
Let v be 195 - ((0 - 1) + -2). Suppose -2*r + v = r. Let c = 92 - r. Calculate the remainder when 77 is divided by c.
25
Let z(x) = 4*x + 35. Let n be z(8). Let p = n - 10. What is the remainder when p is divided by 12?
9
Suppose 0 = 5*b + 2*z - 153, b - z - 15 = 17. Calculate the remainder when 60 is divided by b.
29
Let o(t) = 4*t - 49. Let b be o(0). Let h = b + 82. What is the remainder when 96 is divided by h?
30
Let s be 2/(-5) + 2/5. Suppose -2*f - 5 + 15 = s. Suppose 0 = -f*x + c + 96, -6*c = -5*x - 2*c + 84. What is the remainder when 58 is divided by x?
18
Let y = 844 + 1476. Calculate the remainder when y is divided by 11.
10
Suppose -103 = 5*o - 578. Let w = o + -72. Calculate the remainder when w is divided by 7.
2
Let o(c) = 59*c**3 - c**2 + 34*c - 33. Let a = -2 - -1. Calculate the remainder when o(1) is divided by -18*a*4/6.
11
Let y = -71 + 116. Calculate the remainder when 54 is divided by y.
9
Let f = 531 - 259. Let r(b) = -2*b**3 + 51*b**2 + 28*b + 3. What is the remainder when f is divided by r(26)?
52
Let v(b) = -b**3 - 9*b**2 + 9*b - 5. What is the remainder when v(-11) is divided by 25?
13
Suppose z + 3*v = -57, 285 = -4*z - z - 2*v. Let h = z + 148. Let p(n) = 7*n**2 + 2*n - 1. What is the remainder when h is divided by p(-2)?
22
Let k = 617 - 599. Calculate the remainder when 60 is divided by k.
6
Suppose -3*r - 3*n + 24 = 0, 0 = 7*n - 12*n - 20. Calculate the remainder when 1/5 - (-507)/15 is divided by r.
10
Suppose 43*b - 1056 + 24 = 0. What is the remainder when 88 is divided by b?
16
Suppose 0 = 4*k - 12, -6*m + 4*k = -m - 168. Let a = -24 + m. What is the remainder when a is divided by 5?
2
Let h(g) = g**2 + 7*g - 4. Let r be h(-7). Let c = 6 + r. Suppose c*p = -p + 57. Calculate the remainder when p is divided by 11.
8
Let g = -8 + -3. Let b(x) = 4*x**2 + 25*x + 14. Calculate the remainder when b(g) is divided by 32.
31
Let g(q) = q**3 - 21*q**2 - 36*q - 21. Calculate the remainder when g(23) is divided by 55.
44
Suppose -39 = -32*o + 29*o. What is the remainder when 285 is divided by o?
12
Let v = 55 + -37. Let f(q) be the second derivative of q**4/12 + 13*q**3/6 + 2*q**2 + 8*q. What is the remainder when f(-15) is divided by v?
16
What is the remainder when (-6260)/(-30) + (-10)/15 is divided by 55?
43
Let h(f) = -17*f. Let c be h(-2). Suppose 0 = 5*t + 5, -4*t + c + 2 = 5*d. What is the remainder when 71 is divided by d?
7
Suppose 34 = 5*s + 4. Let j(t) = -t**3 + 5*t**2 + 7*t + 2. What is the remainder when 28 is divided by j(s)?
4
Let d(x) = x**2 - 4*x + 2. Let q be d(4). Calculate the remainder when (4/3)/(q/57) is divided by 20.
18
Suppose 5*c + 3*t = 2*c + 12, -c + 29 = -4*t. Suppose 19 = c*u - 26. What is the remainder when 12 is divided by u?
2
Suppose t - 4*d = 4*t + 9, 3*t - 5*d = -36. Suppose -4*s + 30 = -s. What is the remainder when (t/((-63)/(-78)))/(2/(-9)) is divided by s?
9
Let i(p) = -p**2 - 9*p + 4. Calculate the remainder when i(-8) is divided by (-1)/(16/(-30) - 4/(-20)).
0
Let f(g) = 8*g - 23. Let q be (-6)/(-14) + (-312)/(-56). What is the remainder when f(q) is divided by 9?
7
Let u(w) = 2*w**2 - 7*w. Let z(b) = -344*b + 1211. What is the remainder when z(3) is divided by u(6)?
29
Let c = -6 - -9. Suppose -3*y - 5*w = 56, 2*w = c*y - 0*y + 28. Calculate the remainder when (-18)/y*(-82)/(-3) is divided by 14.
13
Let i = -72 + 81. Suppose 7*j + i*j = 144. What is the remainder when (-3)/2*(-64)/6 is divided by j?
7
Let k(s) be the second derivative of 1/4*s**4 + 2*s**2 + 9*s + 0 - 5/6*s**3. Calculate the remainder when k(2) is divided by 5.
1
Let j = -8 + 24. Let g = -191 - -197. What is the remainder when j is divided by g?
4
Suppose 2*d - 2*g - 9 + 1 = 0, 5*d - 20 = -2*g. What is the remainder when ((0 - -1) + -2)*-9 is divided by d?
1
What is the remainder when (4308/48)/((-3)/(-12)*1) is divided by 15?
14
Let j(x) = 6*x**2 - 7*x - 61. Calculate the remainder when j(12) is divided by 38.
35
Suppose -t + 59 + 206 = 0. Calculate the remainder when -2*(-4)/20*t is divided by 12.
10
Let c be 1 + -1 - (8 + -12). Let t(d) = -d**2 + 2*d + 5. Let x be t(c). What is the remainder when -2 + 43/1 - x is divided by 15?
14
Suppose -3 = -v, 0 = 4*t - 2*v - 1113 - 645. Calculate the remainder when t is divided by 12.
9
Let n(x) = 2*x + 16. Suppose -l - l + 2 = -q, 5*q + 37 = l. Let t be n(q). Suppose t*h = 3*h - 441. What is the remainder when h is divided by 37?
36
Suppose 5*c - 7*c + 2*g = -88, -152 = -3*c - g. Let t be (-74)/(-14) - (-8)/(-28). What is the remainder when c is divided by 26*3/(t + 1)?
10
Calculate the remainder when (-9)/((-36)/16)*25 is divided by 13.
9
Suppose 21*m = 17*m + 20. Let q(k) = -8 - 1 + 2*k + 2*k. Calculate the remainder when 19 is divided by q(m).
8
Let z(a) = -3*a - 22. Let n be 2 - 5/(5/11). Calculate the remainder when 18 is divided by z(n).
3
Suppose 5*x = 9*x - 5*n - 3344, -x = -4*n - 836. Calculate the remainder when x is divided by 42.
38
Let y(c) = 119*c**2 - 2*c + 3. Let v be y(1). What is the remainder when (0 + v/28)*84/3 is divided by 41?
38
Let l(v) = -112*v. Let c be l(-1). Let a = 173 - c. Suppose 102*q - 105*q = -63. What is the remainder when a is divided by q?
19
Let m(u) = u**3 - 11*u**2 - 6*u + 35. Let v be m(13). Suppose -4*q - q = -v. Calculate the remainder when q is divided by 10.
9
Let x be (0 - 0)/(-9 + 8). Suppose -c - 3 + 20 = x. What is the remainder when 36 + 1/((-3)/9) is divided by c?
16
Suppose 0 = -m + 4*x + 97, 5*m + 2*x = 4*x + 521. Let j = m + -68. What is the remainder when j is divided by 20?
17
Let f be 2/8 + 2/(16/(-378)). Calculate the remainder when 137 is divided by (f/3)/(4/(-12)).
43
What is the remainder when 10/((-30)/(-267)) + -8 is divided by 51?
30
Suppose 231 = 5*f + p, -2*f - 4*p = 2*f - 188. Suppose 0 = -8*k + 146 - 18. What is the remainder when f is divided by k?
14
Let u(b) = b. Calculate the remainder when (45752/(-48))/(-43) + 1/(-6) is divided by u(3).
1
Let v(z) be the third derivative of z**5/15 - z**3/2 + 4*z**2. What is the remainder when 38 is divided by v(-2)?
12
Let b be (-33)/((-2)/(-2) - 4). Suppose a - b = -c, -c - 5*a = -0*a - 15. Calculate the remainder when 29 is divided by c.
9
Let m(n) = -2*n - 10. Let s be (-705)/(-21) + (-9)/(-21). Let v = s + -21. What is the remainder when v is divided by m(-7)?
1
Let f = 28 - 75. Let v = 77 + f. What is the remainder when v is divided by 9?
3
Let p(d) = -3 + 18 + 13 + 13 + d**3. Let a be p(0). What is the remainder when 65 is divided by (-10 - a)*2/(-6)?
14
What is the remainder when 167*45/5 - (-4 - -2) is divided by 29?
26
Let k(i) = i**3 - 21*i**2 - 22*i + 14. Suppose 2*n = 45 + 61. What is the remainder when n is divided by k(22)?
11
Let y = 575 - 545. What is the remainder when 148 is divided by y?
28
Let j = 406 - 401. What is the remainder when 14 is divided by j?
4
Let p(g) = 6*g**3 - 5*g**2 - 7*g + 7. What is the remainder when 145 is divided by p(2)?
19
Suppose -3*g + u = -3*u + 51, 0 = g + 3*u + 4. Let p = -4 - g. Suppose -3*c + 13 = -62. What is the remainde