Suppose 0 = 2*v - 4*v + k. Calculate the remainder when v is divided by 17.
12
What is the remainder when 995 is divided by (78/(-91))/((-3)/28) + 4?
11
Let l be (0 - 10*-1)*(-9 + 10). Let q be (80/50)/((-1)/l)*-4. Let x = q - 34. What is the remainder when x is divided by 18?
12
Let k be (-6)/(-9) - (2847/(-9) - 0). Let l = k - 206. What is the remainder when l is divided by 32?
15
What is the remainder when 0/1 - (-214 - -5) is divided by (-136)/85 + 732/20?
34
Let a = 75 - 65. Let b be 4/a + (-5088)/(-80). Let f = -26 + b. What is the remainder when 263 is divided by f?
35
Let r(q) be the second derivative of 1/3*q**3 + 2*q**2 - 19*q + 0 + 4/3*q**4. What is the remainder when r(-2) is divided by 22?
20
Let m(a) = 540*a + 7703. What is the remainder when m(-13) is divided by 223?
14
Suppose 38*i - 24312 - 312 = 0. Let w = i + -619. Let c = -24 - -42. What is the remainder when w is divided by c?
11
Let i be 1/((-42)/(-12) - 4). Let v(g) = -19*g - 9. Calculate the remainder when 113 is divided by v(i).
26
Let j = 166 - 165. Let p(b) = 25*b + 2. Let t(l) = -17*l - 1. Let i(m) = -5*p(m) - 8*t(m). Calculate the remainder when 16 is divided by i(j).
7
Calculate the remainder when 150 is divided by 3059/(-46)*4/(-7).
36
Suppose 0 = 7*f - 2*f + 10. What is the remainder when (f + 5/2)/((-8)/(-448)) is divided by 25?
3
Calculate the remainder when 1739 is divided by (18/(-8))/(168/(-896)).
11
Let j(y) = 274 - 32*y - 571 + 242. Calculate the remainder when 62 is divided by j(-2).
8
Let g(y) = -5*y - 6. Let x be g(-21). Let w = -83 + x. Calculate the remainder when 237 is divided by w.
13
Suppose j + 9*z - 8*z = 38, 5*z - 79 = -2*j. What is the remainder when 8804 is divided by j?
35
Calculate the remainder when 713 is divided by 1 + (-1 - -3) - -6*286/33.
53
Suppose 102*a - 107*a - 587 = -2*v, -2*a + 852 = 3*v. Let j = -31 + 72. Calculate the remainder when v is divided by j.
40
Calculate the remainder when 186 is divided by (-16)/40 + 1976/40.
39
Let f(z) = 2*z. Let y be f(0). Suppose y = -0*q - 2*q. Suppose 3*v - 276 = -q*v. Calculate the remainder when v is divided by 19.
16
Let a(v) = -2*v**3 - 44*v**2 - 44*v - 38. Let n be a(-21). Let w = 15 - 11. Suppose w*k = -n*k + 8. What is the remainder when 3 is divided by k?
0
Let b = -1391 - -1464. Calculate the remainder when 90 is divided by b.
17
What is the remainder when 70 is divided by 618/20 + 13*23/2990?
8
Let x(i) = i**3 - 6*i**2 + 2*i + 4. Calculate the remainder when x(7) is divided by (-90528)/6601*(-14)/8.
19
Let u(w) = -110*w - 4161. Suppose -24*n + 25*n = 24. What is the remainder when u(-40) is divided by n?
23
Calculate the remainder when 960 is divided by 1 + 300 + (-13 - -31).
3
Calculate the remainder when (-40)/(-12)*(-94)/(-705) - 79210/(-18) is divided by 1462.
15
What is the remainder when 542 is divided by (-2421)/(-36) + 91/52?
59
Let s(m) = 128*m + 994. Let h(j) be the third derivative of -5*j**4/24 - 2*j**3 - 4*j**2. Calculate the remainder when s(-7) is divided by h(-9).
32
Suppose 398*b - 388*b = 1040. Calculate the remainder when 222 is divided by b.
14
Suppose 0 = 20*x - 468 - 13132. What is the remainder when x is divided by 49?
43
Calculate the remainder when (123012/2814)/(0 - 6/(-28)) is divided by 69.
66
Suppose 46*t = 55*t - 351. What is the remainder when 129 is divided by t?
12
Calculate the remainder when 373 is divided by 75 - 12 - (5 + 4).
49
Suppose 8*b + 121 - 737 = 0. Let k = b - 72. Suppose -4 = k*p + 11, 3*r = -2*p + 27. What is the remainder when 140 is divided by r?
8
Let w = -21 + 35. Suppose 0 = -c - c + 4*o + 12, 2*o - w = -c. Suppose 81 = c*z - 819. What is the remainder when z is divided by 26?
12
Let t(z) = 22*z - 21. Let c = 263 - 260. Calculate the remainder when t(c) is divided by 24.
21
Suppose 4*p - 5*j = 449, -2*p - 101 = -5*j - 318. Suppose 4*k - 76 = p. Suppose 60*i + 140 = 61*i. Calculate the remainder when i is divided by k.
44
Suppose -230*q + 231*q - 11 = 0. Let l(u) = 10*u - 67. What is the remainder when 169 is divided by l(q)?
40
What is the remainder when 2093 is divided by 15 - 4*(-9855)/60?
77
Let n = -15109 + 15543. What is the remainder when n is divided by 234?
200
Let l = -6730 - -6808. What is the remainder when 1946 is divided by l?
74
Let p be (9 - 6) + 2 + -3. Suppose 0 = -p*v + 47 + 67. What is the remainder when 853 is divided by v?
55
Let n = -1425 + 3110. Calculate the remainder when n is divided by 557.
14
Let l(z) = 2*z**3 + 77*z**2 + 39*z + 46. Calculate the remainder when 1741 is divided by l(-38).
5
Suppose -q - 3*m - 8 = 0, 5*m + 17 = 3*q + 41. Let n(f) = 3*f**2 - 3*f + 10*f + 16 + 20. Calculate the remainder when n(q) is divided by 35.
32
Let i(o) = -3*o - 11. Let z be i(-4). Let n be (90/(-63))/(z/(-7)). Suppose n*a - 6 - 14 = 0. Calculate the remainder when 6 is divided by a.
0
Let b(m) = m**3 + 3*m**2 - 8*m - 1. Let f be b(-4). Suppose u - f = -13. Suppose u*v = 165 - 29. Calculate the remainder when v is divided by 14.
12
Let h be 11/(22/(-6)) + -2. Let b(y) = -69*y - 121. Calculate the remainder when b(h) is divided by 25.
24
Let b be (-4 + -1 + -28)*(-4)/6. Let d = 51 - b. Let x(w) = 9*w**2 - 3*w - 5. What is the remainder when x(-3) is divided by d?
27
Let d = -297 + 298. Let q = 5 + -3. What is the remainder when 74/14 - d - (-66)/(-231) is divided by q?
0
What is the remainder when 495 is divided by (-40264)/(-175) + (-30)/375?
35
Suppose 0 = 8*i + 3*i + 8943. Let g = 856 + i. Calculate the remainder when (-498)/(-4) - (-2)/4 is divided by g.
39
Let w(r) = r**3 - 8*r**2 + 2*r - 21. Let h be w(8). Let a(d) = -d**3 + 6*d**2 - 3*d + 5. What is the remainder when a(h) is divided by 100?
95
Suppose -3*a - 2*a - z + 499 = 0, -3*a - 5*z + 317 = 0. What is the remainder when a is divided by ((-96)/120)/((16/130)/(-4))?
21
Suppose -22*c = -10685 - 15935. Calculate the remainder when c is divided by 135.
130
Let i(r) = 10*r - 15. What is the remainder when 10*(-8 - (-484)/20) is divided by i(3)?
12
Let u(r) = 3*r**2 + 189*r - 1154. What is the remainder when 320 is divided by u(6)?
56
Suppose -64*b + 2004 = -44. Let l = -71 + 107. Suppose -3*h - 2*h - b = -k, -3*k + 3*h = -l. What is the remainder when 10 is divided by k?
3
Suppose -r + 3*r - 2 = -5*q, 2*q - 24 = 5*r. Let x be 213*(-8)/(-6) - r/(-2). Let s = x + -182. What is the remainder when s is divided by 51?
49
Suppose 5*b = 4*b + 12. Let a = -283 + 288. Suppose 4*v + 4*s = 2*v + 102, -v + a*s + 79 = 0. Calculate the remainder when v is divided by b.
11
Suppose 2*z = 4*i - 1160, -2*i - 7*z + 580 = -3*z. What is the remainder when i is divided by 131?
28
Suppose 7*r - 51 - 40 = 0. Calculate the remainder when (-52)/r*1/(-4)*281 is divided by 47.
46
Suppose 6*x = 3*x + 6. Suppose 4*r - 789 = -3*v - x*v, -2*r + 388 = -4*v. Suppose -q + 6 = -27. What is the remainder when r is divided by q?
31
Suppose -372*i = -367*i - 240. What is the remainder when 957 is divided by i?
45
Let r(g) = -g**2 - 4*g + 73. Let u be r(0). Let a = u + -34. Suppose 2*h = a + 35. Calculate the remainder when h is divided by 10.
7
Let v(u) = -u**3 - 21*u**2 - 28*u + 16. Let f be (-6*(-6)/54)/((-1)/30). Let o be v(f). Let s = o - 97. Calculate the remainder when s is divided by 20.
19
Suppose 4*z + 74 = 222. Suppose 147 = 3*p + n + z, p = n + 34. What is the remainder when 179 is divided by p?
35
Calculate the remainder when (-6 + 8)/(2/(-2046)*(-21)/7) is divided by 6.
4
Let l be (-6)/4*286/(-39). Suppose -486 = -l*r + 108. Calculate the remainder when r is divided by 18.
0
Suppose -4954 = -20*i - 14. Let j = -231 + i. What is the remainder when 59 is divided by j?
11
Suppose 4*v = -y - 114 + 260, 235 = 5*v - 4*y. Suppose 0 = 2*c - 3*d - 3, 5 - 14 = -2*c - 3*d. Calculate the remainder when v is divided by c.
0
Let z = -114 - -228. Suppose b = 3 + z. Calculate the remainder when b is divided by (-326)/(-16) + (-99)/264.
17
Suppose 272*t - 270*t - 9960 = 4*d, 2*d + 14 = 0. Calculate the remainder when t is divided by 8.
6
Let j(c) = -c - 5. Let n be j(0). Let z(q) = -15*q - 1. Let m(r) = -2*r**3 + 16*r**2 - 5*r + 53. Calculate the remainder when z(n) is divided by m(8).
9
Suppose 19 = -3*q - 4*n, 0 = q + n + 2*n + 8. Let k(m) = m - 40. Let p(b) = -20. Let d(g) = q*p(g) + 2*k(g). Wha