*x, 2*b - 73 = x + 10. Calculate the remainder when b is divided by 4.
3
Suppose 18*f - 17*f - 8 = 0. Calculate the remainder when 263 is divided by f.
7
Let o(v) = -5*v**2 + 17*v - 17. Let z(n) = -3*n**2 + 9*n - 9. Let s(t) = 6*o(t) - 11*z(t). Calculate the remainder when 130 is divided by s(-4).
31
Suppose 28 + 7 = 5*w - 4*v, 5*v + 13 = -4*w. Suppose 9 + 9 = w*z. Suppose -50 + 20 = -3*c. Calculate the remainder when c is divided by z.
4
Suppose 110 = 3*z + 29. Let r = z + -18. What is the remainder when 135/4 - (-2)/8 is divided by r?
7
Suppose -r - 41 = -2*r. Let n = r + -26. Let l(h) = -2*h**3 - 8*h**2 + 6*h - 11. Calculate the remainder when n is divided by l(-5).
6
Let f be 73*(4 - (-5)/(20/(-8))). Suppose 14*j - 12*j - f = 0. What is the remainder when j is divided by 19?
16
Suppose -2*q - j + 2 = j, -q - 5 = 4*j. Suppose v - q*v + 109 = -5*r, -v = -2*r - 53. What is the remainder when v is divided by 16?
15
Let f = -2 + 49. Suppose 5*g - 30 = -0*g + 5*u, -2*g = -u - 9. Suppose -4*v + 2*i = -42, 0 = -4*v + g*i + 7 + 32. What is the remainder when f is divided by v?
11
Suppose -5*z - 2*x + 110 = 0, 0*x = 3*z - 3*x - 66. Calculate the remainder when 72 is divided by z.
6
Suppose 3 = r + 5, 4*f - 5*r = 2. What is the remainder when 21 is divided by 8 + f + 4/(16/(-12))?
0
Suppose 0 = s - 1, 5*n + 4*s - 75 = -6. Let g(m) = m - 25. Let x be g(n). Calculate the remainder when ((-60)/9)/(8/x) is divided by 3.
1
Let p(z) = -3*z. What is the remainder when p(-4) is divided by 8?
4
Calculate the remainder when 62 is divided by (-102)/(-8)*56/21.
28
Let i(a) = -39*a**3 + 9*a**2 + 11*a. Let k be i(-2). Suppose 4*r = -3*l + 346, k + 98 = 4*l - 4*r. Calculate the remainder when l is divided by 16.
14
Let r(n) = -n**2 - 9*n + 11. Let d be -5 + 26/(-22) - (-4)/22. What is the remainder when 81 is divided by r(d)?
23
Suppose 180*z = 185*z - 20. Suppose c + z = 0, 5*c + 0*c = -5*m + 45. Let q(b) = -4*b. What is the remainder when q(-5) is divided by m?
7
Let v(d) = d**2 - 2*d - 7. Suppose 0 = -t - 5*y + 34 - 21, -y = -2. What is the remainder when v(5) is divided by t?
2
Suppose 2*u + 683 = 5*q, 4*q - u = 333 + 214. What is the remainder when 267 is divided by q?
130
Let n be (-2)/(0 + 1/(-4)). Let p = 20 - n. Let v = p - 10. What is the remainder when 6 is divided by v?
0
Let j = 4 - 2. Suppose -4*v + 32 = 3*t + t, -40 = -j*t + 4*v. What is the remainder when (153/6)/((-12)/(-16)) is divided by t?
10
Let g(r) = -r + 110. What is the remainder when g(-8) is divided by 5?
3
Let j = -118 + 103. Let k = 114 + j. Suppose 2*y = -4*n + 44, -3*y - y - 4*n = -84. What is the remainder when k is divided by y?
19
Let j be (-3)/2*10 + (-2)/2. Let l = 7 - j. Calculate the remainder when 66 is divided by l.
20
Let u = 920 + -888. What is the remainder when u is divided by 18?
14
Let u be (-238)/(-18) - 4/18. Let h = 20 - u. Calculate the remainder when h/(((-14)/16)/(-7)) is divided by 19.
18
Let r(g) be the first derivative of -6*g**2 - 3*g - 21. Suppose a + 7 = -4*i - 0*a, -2*i - a = 3. What is the remainder when 60 is divided by r(i)?
18
Let u be (-144)/(-27)*3/2. What is the remainder when 53 is divided by (6/u)/(9/132)?
9
Suppose -6*l + 145 = -3*l - 2*a, 0 = l - a - 50. What is the remainder when 134 is divided by l?
44
Let m(b) = -b**3 - 8*b**2 + 10*b + 13. Let a be m(-9). Suppose -4*q + 14 = -34. What is the remainder when (0 - a)*(-46)/8 is divided by q?
11
Let o be (5/2)/5*0 - -2. Suppose -t + 274 = 4*a + t, -262 = -4*a + o*t. What is the remainder when a is divided by 14?
11
Let x be 297/(12/4) + -1. Let c = x - 60. What is the remainder when c is divided by 8?
6
Let t = 8 + -5. Suppose r - 9*r + 5*r = 0. Suppose -v + j = -20, 41 = 2*v - r*j - t*j. What is the remainder when v is divided by 5?
4
Let z(y) = -y**2 + 9*y - 6. Let u = -64 + 71. Calculate the remainder when u is divided by z(8).
1
Let f(a) = -a**2 + 13. Suppose 3*s - 2*s = 0. Let h be f(s). Suppose 2*o = -h + 47. What is the remainder when 65 is divided by o?
14
Let h be (-27)/((21/2)/(-7)). Let k = 27 - h. Calculate the remainder when k is divided by 5.
4
Suppose -10*q = -2*q - 616. Suppose -q = -4*o - 17. Calculate the remainder when 26 is divided by o.
11
Suppose -5*w = -4*b + 84, -2*w - 32 = -2*b + 3*w. What is the remainder when 7/((b/(-12))/(-13)) is divided by 23?
19
Let t(c) = -c**2 + 9*c + 24. Let f be t(11). Suppose d - 5*x = 34, 0 = -f*d - d - 5*x + 22. Calculate the remainder when (2 - 0)/(2/41) is divided by d.
13
Suppose 15*i - 19*i = 224. Suppose -6*d - 99 = -3*d. Let l = d - i. What is the remainder when 44 is divided by l?
21
Let g = 95 - 63. Let a(c) = 15*c + 1. What is the remainder when g + 1 + -2 + 0 is divided by a(1)?
15
Suppose -2*w - 5*n - 42 = -3, 2*n = -5*w - 45. Let t(p) = -10*p + 7. What is the remainder when t(w) is divided by (-4368)/(-216) + 1 + (-11)/9?
17
What is the remainder when (176/(-12))/(-11) + 132/9 is divided by 10?
6
Let a(b) = -187*b**3 - b**2 - 2*b + 1. Calculate the remainder when a(-2) is divided by 60.
57
Let q(k) = -37*k + 4. Calculate the remainder when q(-1) is divided by 14.
13
Let k(w) = w**3 + 3*w**2 - 3*w - 5. Let s be -6 + 8*(-4)/(-8). Calculate the remainder when 24 is divided by k(s).
4
Suppose -9*z + 542 = -106. Let o = 7 + -9. What is the remainder when z is divided by (o/4)/(9/(-342))?
15
Let m be 7 - -3 - (-6)/(-2). Suppose 4*q + m = -1, 4*l + 32 = -2*q. Calculate the remainder when (-7)/(l/38) + -2 is divided by 10.
6
Suppose 12*z = 10*z - 8. What is the remainder when 97 is divided by 540/39 + z/(-26)?
13
Let p(l) = -l**2 - 11*l - 7. Let c be p(-8). Let r = c + -14. Calculate the remainder when 5 is divided by r.
2
Suppose 0 = -4*j - 5*p + 41, -5*j + 0*j + 46 = p. Calculate the remainder when (-1)/(-2) + 98/4 is divided by j.
7
Let q = 110 + -55. Suppose 0 = 3*w + 2*r - 5 - q, -r + 3 = 0. What is the remainder when (((-300)/9)/(-5))/((-2)/(-21)) is divided by w?
16
Let l = -435 + 533. What is the remainder when l is divided by 10?
8
Suppose 2*z + 726 = -9*z. Let q = z + 78. Suppose 0 = -l - 2*l + 135. What is the remainder when l is divided by q?
9
Calculate the remainder when (-2 - -8)*(258/12 + -2) is divided by 60.
57
Suppose 3*z - 32 = 5*o, 2*z = -0*z + 2*o + 16. Suppose 4*p - 486 - 98 = -z*n, p - 444 = -3*n. Calculate the remainder when n is divided by 25.
24
Let i = 522 - 513. What is the remainder when ((-4)/(-8))/(2/96) is divided by i?
6
Let f(s) = -s**2. Let p be f(0). Calculate the remainder when 39 is divided by (-1235)/(-57) - ((-4)/(-6) + p).
18
Let n = 7 + 0. Suppose -3*h + 2*h + n = 0. Suppose -5*m - 41 + 145 = -3*k, 2*k - 32 = -2*m. What is the remainder when m is divided by h?
5
Let l(a) = 15*a - 48. Suppose 0 = -5*z - 5*v + 60 + 35, -10 = 2*v. Calculate the remainder when l(11) is divided by z.
21
Let b be ((-33)/22)/(3/(-128)) + 1. Suppose 0 = -o + 3*h + 40, 3*h + b = -2*o + 4*o. Calculate the remainder when 73 is divided by o.
23
Suppose 3*j - n = 776, -304 - 215 = -2*j + n. Suppose 3*r + 80 = j. Suppose 3*l - 212 = -r. What is the remainder when l is divided by 18?
15
Suppose -12 = -4*h, 3*h + 15 = -p + 5*h. Let m(c) be the third derivative of -c**4/24 + c**3/3 - 2*c**2. What is the remainder when 40 is divided by m(p)?
7
Suppose 2*p + 30 = 5*p. Suppose -9*x + 4*x + p = 0. Suppose -x*g + 23 = -89. What is the remainder when g is divided by 29?
27
Let k = 47 + -48. Calculate the remainder when 2 is divided by -1 - 2 - (2 + k)*-4.
0
Suppose -3*b + 11*b = 40. Suppose 2*o + r = 11, 5*o + 10 = -0*o + b*r. Let w(h) = -h**3 + 3*h**2 + 4*h - 1. What is the remainder when 41 is divided by w(o)?
8
Let t = -321 + 453. Suppose 4*m = -4*f + t, 3*m = -0*m - f + 103. Suppose 5*b = -k + m, 3 = -3*b + 4*b. Calculate the remainder when 58 is divided by k.
18
Suppose -2*k - 3*k - 140 = 0. Let t = 13 + k. Let s = t + 60. What is the remainder when s is divided by 16?
13
Let i be -3 - (-143 + -3 + -1). Suppose -3*j = 3*j - i. Let r(g) = -48*g - 2. What is the remainder when r(-2) is divided by j?
22
Let z = -106 - -109. Suppose 0 = -i - 2*y + 21, 58 = z*i - y - 19. Calculate the remainder when i is divided by 13.
12
Suppose 204*d - 239*d = -11130. What is the remainder when d is divided by 16?
14
Suppose 0 = 2*v - 3*v + h + 2