1 + 110/(-5) - 0. Let b = 45 + w. Calculate the remainder when b is divided by f.
2
Let j(a) = -10*a**2 + 3*a + 4. Let u be j(2). Let f = u - -30. Let m(i) = -5*i + 74. What is the remainder when m(f) is divided by 19?
17
Let z(n) = -n**3 + 48*n**2 + 130*n - 11884. Let q = 362 + -117. What is the remainder when q is divided by z(45)?
40
Let g(u) = -u**2 + 11*u - 6. Let a(v) be the first derivative of -v**2 + 23*v + 3. Let d be a(7). Calculate the remainder when g(d) is divided by 6.
0
Let g = 56 + -42. Suppose 4*f = z - 18, -8 - g = -2*z + f. Let c = -11 - -18. Calculate the remainder when z is divided by c.
3
Let r be ((-12)/(-5))/(8/(-240)). Let u be (2/(-6))/(3/r) + -3. Let d(b) = b + 5. Calculate the remainder when 15 is divided by d(u).
5
Suppose 11*p - 72*p + 183 = 0. Calculate the remainder when 876 is divided by p.
0
Let p(m) = -23*m + 283. Let y be p(12). Calculate the remainder when 142 is divided by (-1)/(-7) - (6 - 132/y).
12
Suppose -t - c = 10, -6*c + 5*c + 50 = -4*t. Calculate the remainder when ((-10)/35)/(t/1302) is divided by 31.
0
Suppose 0 = -6*g + 9*g - 57. Suppose 0*v = 3*v - 6. Suppose 0 = 3*t + v*t - 95. What is the remainder when t is divided by g?
0
Suppose 57*b - 60*b = 2*m - 964, m + 2539 = 8*b. What is the remainder when b is divided by 106?
0
Let g(z) = 17*z**2 + 14*z + 31. Suppose 2*c - 3*r - 3 = 0, c + c - 4*r = 6. Calculate the remainder when g(c) is divided by 21.
16
Let t(u) = u**3 + 13*u**2 + 9*u - 4. Let y(h) = -h**3 - 11*h**2 + 9*h - 8. What is the remainder when t(-11) is divided by y(-12)?
27
Suppose 22269 = 10*c + 5389. What is the remainder when c is divided by 842?
4
Let z(d) = -5*d**2 - 49*d - 4. Suppose 0 = -5*g + 59 + 21. What is the remainder when z(-9) is divided by g?
0
Suppose -k - 5 = 5*x + 4*k, 0 = -x - 5*k - 13. Suppose s = -4*s - 2*y + 33, -x*y = s - 5. What is the remainder when 32 is divided by s?
4
Suppose -1231 = -190*i - 927 + 4446. Let r(p) be the second derivative of p**4/12 + p**3/2 - p**2/2 + p. Calculate the remainder when i is divided by r(-5).
7
Calculate the remainder when 709 - ((-6)/(-15) - (-141)/(-15)) is divided by 9.
7
Let g(r) = -3*r**3 - 30*r**2 - 6*r + 18. Let v(i) = i**3 - i. Let p be v(-3). Let b = -14 - p. Calculate the remainder when g(-10) is divided by b.
8
Suppose -5*j = 3*i - 125, 5*j - 4*i - 8 = 152. Calculate the remainder when 8/(-6) + j/12 is divided by 1.
0
Suppose 277*x - 6675 = 5589 - 1738. What is the remainder when 390 is divided by x?
10
Calculate the remainder when 582 is divided by (90/(-150))/(3/(-755)).
129
Suppose 9*q - 5286 + 4962 = 0. What is the remainder when 1610 is divided by q?
26
Suppose 102 - 438 = 3*a. Let g = a + 121. Calculate the remainder when g is divided by 1.
0
Suppose 429 = 27*u - 24*u. Suppose -4*j + u = 55. Suppose -w + 19 = 4*q, -4*q + 0*q + 1 = -5*w. Calculate the remainder when j is divided by q.
2
Let v(d) = d**3 + 43*d**2 - 89*d + 130. What is the remainder when 376 is divided by v(-45)?
36
Suppose 0 = -39*t - 474 + 903. What is the remainder when 1053 is divided by t?
8
Let m = 25 - 14. Let h = 63658 + -63585. What is the remainder when h is divided by m?
7
What is the remainder when ((-119296)/384)/((4/(-6))/1) is divided by 134?
64
Let z be 8487/36 - (-2)/8. Suppose -z = -11*o + 17. Calculate the remainder when 49 is divided by o.
3
Suppose 584*r = 576*r + 18808. What is the remainder when r is divided by 12?
11
Let b(t) = t**3 + 12*t**2 + t + 12. Let p be b(-11). Let j = p - 113. Calculate the remainder when 151 is divided by j.
7
Let j(y) = 2*y + 3. Suppose -8*m + 10 = -3*m. Suppose -m*k = 6*k - 384. What is the remainder when k is divided by j(1)?
3
Let k = -19231 - -19895. Calculate the remainder when k is divided by 132.
4
Let z = -435 + 444. Suppose 5*p + s - 107 = 0, -2*p + 2*s + 37 + 13 = 0. What is the remainder when p is divided by z?
4
Let s be (-9)/(52/(-20) + (-14)/35). Suppose 5*z - 2*b - 602 = 0, -z - s*z + 4*b = -484. Calculate the remainder when z is divided by 54.
12
Let u(q) = q**3 + 24*q**2 + 80*q + 53. What is the remainder when u(-15) is divided by 18?
14
Calculate the remainder when ((2550/125)/34)/((-9)/(-2670)) is divided by (-136)/(-4) - -2*1.
34
Let u = -7790 - -7926. What is the remainder when u is divided by 48?
40
Suppose -119 = -220*i + 213*i. Suppose -11*a = -i*a + 324. Calculate the remainder when 426 is divided by a.
48
Let m be (216/30)/((-1)/20). Let a be 4/14 + m/(-84). Suppose a*p + 1 = -x - 0*x, 0 = 5*x - 4*p - 23. What is the remainder when 9 is divided by x?
0
Let f(n) = 75*n - 11 - 9 + 99*n - 36*n. What is the remainder when f(3) is divided by 19?
14
Suppose -25*k = -23*k - 16. Calculate the remainder when 69 is divided by k + -8 - (0/(-1) - 5).
4
Let x be -2 + 5 - (-21 - -26). Calculate the remainder when (104 - 245)/(-1 + 1/x) is divided by 36.
22
Let p(b) = -3*b - 2*b - b - 1. Let f = 35 - 41. What is the remainder when p(f) is divided by 12?
11
Let c = -188 + 260. Suppose 0*w - f = -w + c, 0 = 4*w + 2*f - 270. Calculate the remainder when w is divided by 26.
17
Suppose 4*u - 22 = 4*m - 3*m, 0 = 3*u + 2*m - 11. Suppose -13 - 30 = -2*d + u*c, 3*d - c = 58. Calculate the remainder when d is divided by 5.
4
Let f(b) = -49*b - 344. Calculate the remainder when 367 is divided by f(-14).
25
Calculate the remainder when 204/714*(971 + 2) is divided by 71.
65
Let l(q) = -q - 1. Let w be l(-2). Suppose -77 = -4*d - 5*u, 4*u + w = -d + 34. Suppose -9*f + 6 = -219. Calculate the remainder when f is divided by d.
12
Let b(i) = -5*i**2 + 7*i - 36. Let k(y) = 7*y**2 - 5*y + 35. Let o(v) = -4*b(v) - 3*k(v). Calculate the remainder when 731 is divided by o(-11).
60
Let p(i) = i + 25. Let c be p(-19). Suppose -m = -3*m + c. Suppose -34 = -2*k + m*q, -2*q + 13 - 3 = k. Calculate the remainder when 65 is divided by k.
9
Suppose 0 = -3*g - 6, 0*f - 2*g + 494 = -f. Let k = 688 + f. Calculate the remainder when k is divided by 45.
10
Let s(z) = 3*z**2 + 74*z + 325. Calculate the remainder when s(-26) is divided by 103.
17
Suppose 241 + 456 - 25 = 8*b. Calculate the remainder when 2431 is divided by b.
79
Suppose -120*z = 114 - 834. What is the remainder when 1918 is divided by z?
4
Let b be (12/4 + -3)/(-2). Suppose 0*l - l + 79 = b. What is the remainder when l is divided by 12/8*(-196)/(-21)?
9
Suppose -5*n + 14 = -5*x + 149, 4*x - 3*n - 105 = 0. Let j = 88 + -10. Suppose -4*m - 2*m = -j. Calculate the remainder when x is divided by m.
11
Let u(k) = k**2 + 5*k + 108. Let n be u(-8). Suppose 5*c + n = 17*c. Calculate the remainder when 74 is divided by c.
8
Let s(d) = d**3 + 14*d**2 - 16*d + 9. Let t be -15 - 2 - (-9)/((-27)/(-6)). What is the remainder when s(t) is divided by 9?
6
Suppose -k - 162 = -4*k. Suppose 14*q = 21*q. Suppose 4*v + i - 79 = 0, -26*v + 22*v - 5*i + 75 = q. What is the remainder when k is divided by v?
14
Suppose 0 = 3*x - 5*j - 32, -64*j = -5*x - 60*j + 49. Let o = -56 + 87. What is the remainder when o is divided by x?
4
Let n = 22279 - 21368. Calculate the remainder when n is divided by 29.
12
Let i = -116 - -146. Calculate the remainder when i/6 + 116 - 3 is divided by 38.
4
Suppose 0 = 4*s - 2*t - t - 1240, 5*t = 20. What is the remainder when s is divided by 9?
7
What is the remainder when 1245 is divided by (-15)/6 - 136235/(-220) - 10/(-8)?
9
Let z = -2506 - -2495. Let c(n) be the third derivative of -n**5/60 - n**4/2 + 2*n**3 - 2*n**2. Calculate the remainder when 64 is divided by c(z).
18
Let j(f) = -45*f + 138. Let z be -66*((-10)/4)/5. Suppose 5*u - 3*t - 125 = 2*t, 0 = -u + 3*t + z. Calculate the remainder when u is divided by j(3).
0
Let o = -4 - -1. Let j(q) = -21*q - 5. What is the remainder when j(o) is divided by 234/15 + (-32)/20 + 1?
13
Suppose 319*d - 311*d + 16 = 0. Calculate the remainder when d/((-1)/(-2)*24/(-1452)) is divided by 81.
80
Let k(z) = -z**3 + 2*z**2 + 19*z + 6. Suppose 196 = a - 0*a. What is the remainder when a is divided by k(4)?
46
Let o = -141 + 140. Calculate the remainder when 245 is divided by 1 + o + (95 + -2)/3.
28
Suppose 0 = -5*j + 5 + 25. What is the remainder when (14058/(-396))/(14/(-44) + (-16)/88) is divided by j?
5
What is the remainder when 332 is divided by 53/(5830/968) - 8/10?
4
Let q(w) = 153*w + 2241. What 