16 = -5*k, 0 = -3*k + 2*c - 184. Let w = k - -294. What is the remainder when w is divided by 11?
10
Let w(p) = 100*p**2 + 5*p + 1. Let x be w(-1). Suppose -7*z + 30 = -x. Suppose z = -4*t + 50. What is the remainder when 28 is divided by t?
4
Let g(x) = 12*x - 104. Let l be g(9). Suppose -4*o = l*r - 128, 3*o - 8 = -2*r + 55. Calculate the remainder when r is divided by 13.
7
Let v be (-35)/3 + 1/(-3). Let u = v - -26. Let n = 4987 + -4962. Calculate the remainder when n is divided by u.
11
Let v(g) = -95*g - 546. Calculate the remainder when v(-11) is divided by 45.
4
Let g = -28 + 37. Suppose 162 = g*n - 3*n. Calculate the remainder when n is divided by 8.
3
Calculate the remainder when 918 is divided by 560/(-84)*((1 - 4) + 0).
18
Let u(f) = f**3 - 10*f**2 + 13*f - 9. What is the remainder when (8 - (-187)/(-22))*-74 is divided by u(9)?
10
Let q(b) = 31*b**3 + 15*b**2 + b - 31. What is the remainder when q(7) is divided by 122?
120
Let o(v) = -v**2 + 59*v + 1274. Calculate the remainder when o(75) is divided by 14.
4
Let i(q) be the third derivative of 0*q + 16*q**2 + 1/15*q**5 - 5/3*q**3 + 0 + 5/24*q**4. Calculate the remainder when i(3) is divided by 11.
8
Suppose -5*s + 92 = -2*v + 263, -2*v + 2*s + 180 = 0. Calculate the remainder when 548 is divided by v.
83
Let x be 1 + (-5 + 0)/(-5). Let m(j) = 4*j**3 + 4*j**2 + 3. What is the remainder when m(x) is divided by (-10)/((-10)/(-3)) - (-1 - 28)?
25
Calculate the remainder when ((-164)/(-410) - 2572/5)/(-2) is divided by 85.
2
Let m be (-46)/3*(-32 + (9 - 4)). Let q = m + -411. Calculate the remainder when 3 is divided by q.
0
Let z be (-8 - (-138)/18)*-3. Suppose -1821 = -0*b - 5*b + 4*k, z = k. Calculate the remainder when b is divided by 23.
20
Suppose 13*a + 121 = -425. Let z = a - -40. What is the remainder when (6/z + (-5 - -9))/1 is divided by 1?
0
Calculate the remainder when 0 + 119/1 + 2 is divided by 19 + 29/((-435)/(-195)).
25
Let d(z) = z**3 + 16*z**2 - 28*z - 154. Let p(i) = 2*i**3 - 7*i**2 + 3*i - 7. What is the remainder when p(5) is divided by d(-17)?
17
Let v(m) = -m**3 + 68*m**2 - 179*m - 442. What is the remainder when v(65) is divided by 60?
58
Calculate the remainder when 717 is divided by (164/(-8)*7/(-14))/(3/12).
20
Suppose 0*f = f - 3. Let p(i) = -270*i + 1363. What is the remainder when p(5) is divided by f?
1
Calculate the remainder when 234 is divided by (60/9)/(-16*(-5)/(-42) + 2).
24
Let v(b) be the first derivative of b**2/2 - 6*b + 1. Suppose 4*w = -181*r + 180*r + 49, 5*r = 5*w - 105. What is the remainder when 18 is divided by v(w)?
2
What is the remainder when (2722/8 + (-10)/(160/(-12)))*1 is divided by 121?
99
Let o = -214980 - -214993. Let m(v) = -71*v - 1. Calculate the remainder when m(-4) is divided by o.
10
Suppose 5*b - 5*x = 20, -b - 2*x = -5*x + 2. Let o = 83298 + -83278. What is the remainder when o is divided by b?
6
Suppose -2*v = 5*r - 19, 4*r + 4*v + 9 = 29. Let t be 20/((-20)/(-5)) + -6. Let j(l) = l**2 - 7*l - 7. What is the remainder when r is divided by j(t)?
0
Let q(c) = 28*c**2 - 1791*c + 10. What is the remainder when 19238 is divided by q(64)?
72
Let d be (65/(-10) - -6) + (-13)/(-2). Suppose 5*y - d*p - 130 = -p, 4*y + 5*p = 59. Calculate the remainder when 123 is divided by y.
18
Let i(l) = -2*l**3 + 5*l**2 + l - 7. Let k be i(4). Let q = -20 - k. Calculate the remainder when 185 is divided by q.
30
Suppose 5*q + 2*k = 43, 27 = 5*q - 0*q - 2*k. What is the remainder when 1104/28 - 3/q is divided by 16?
7
Suppose 5*q - 57 = 43. Suppose 2*w + u - 15 = -0, q = 3*w - u. Calculate the remainder when 21 is divided by w.
0
Suppose -4*i + 46 = y, 27*i - 28*i = 5*y - 135. Calculate the remainder when 81 is divided by y.
3
What is the remainder when 10816/34 - (-574)/(-4879) is divided by 14?
10
Suppose 548*l - 11683756 = -60*l - 1261420. Calculate the remainder when l is divided by 27.
24
Let s = -356 + 681. Let v = 656 - 575. Suppose s = 7*m - v. Calculate the remainder when m is divided by 20.
18
Let t(v) = v**2 - 115*v - 3655. What is the remainder when t(-43) is divided by 626?
9
Suppose 2*i - 97 = -t - 0*t, -3*t = -3*i - 264. Suppose 2*z - 45 = -7. Calculate the remainder when t is divided by z.
15
Calculate the remainder when ((-240)/(-100))/(4/10450) + 9 is divided by 20.
19
Let q(w) = 2*w**3 + 4*w**2 + 9*w - 3. Let s be q(-3). Let v = 23 + 40. Let a = s + v. Calculate the remainder when a is divided by 4.
3
Suppose i + 9*t - 7*t = 3681, -14721 = -4*i - 7*t. What is the remainder when i is divided by 160?
155
Let l(g) = 9*g**3 + g**2 + 63*g - 119. Calculate the remainder when 154 is divided by l(2).
71
Let b(k) = -12*k + 35. Suppose -7*l - 10 = 18. Calculate the remainder when b(l) is divided by 12.
11
Suppose 0 = 2*k - 5*p - 12, 13*p = -2*k + 11*p + 26. Calculate the remainder when k is divided by 1.
0
What is the remainder when 59 is divided by 10*((-858)/(-65) - 12)?
11
Let n = -9 - -11. Calculate the remainder when 153 is divided by (n/6)/(12/936).
23
Suppose 7*n + 5*n + 4282 = 11818. What is the remainder when n is divided by 189?
61
Let b(m) = 8*m**2 + 3*m - 1. What is the remainder when (-125 + 76 - -53)/(-1 + (-3)/((-2226)/746)) is divided by b(-3)?
60
Calculate the remainder when 155 is divided by 0/((-2)/2 + 2) + 140 + -97.
26
Suppose -151 + 121 = -15*l. Suppose 115 = l*g + 5*o, -5*g + 14 = 5*o - 311. Calculate the remainder when 208 is divided by g.
68
Suppose 0 = -5*c - 39 + 119. Suppose -7 = -2*j + 51. Calculate the remainder when j is divided by c.
13
Suppose w - 6 - 99 = 0. Suppose 0 = 4*v - 8, -2*v + 24 = 12*k - 8*k. Suppose -k*j + j = -2*p + 42, 5*p - w = j. What is the remainder when 41 is divided by p?
20
Calculate the remainder when 48 is divided by -3*3*(3360/108)/(-14).
8
Let u = 1288 + -1246. Calculate the remainder when u is divided by 33.
9
Suppose -v - 657 + 179 = 0. Let y = v - -906. Calculate the remainder when y is divided by 13.
12
Let f(i) = -5*i - 14. Let u = 34 + -34. Suppose -3*r = 4*d - 422, 3*d + 5*r - 110 - 212 = u. Calculate the remainder when d is divided by f(-7).
20
Let m be (-144)/(-60) - 4/10. Suppose 0 = c + m*j - 21, 4*c - 6*c - 3*j + 47 = 0. Calculate the remainder when 0 + -2 + 6*10 is divided by c.
27
Suppose -15*g + 4648 - 1301 = -4678. What is the remainder when g is divided by 68?
59
Let q(h) = -12*h**2 + 5 + 13*h**2 - h + 7. Calculate the remainder when ((-44)/(-7))/((-4)/(-14)) is divided by q(0).
10
Calculate the remainder when 43 is divided by (-59)/(-4) + 64/256.
13
Let y = 5 - -5. Let q = 533 + -489. What is the remainder when q is divided by y?
4
Suppose 1014 = 8*w - 666. Suppose -w*a - 150 = -215*a. Calculate the remainder when 47 is divided by a.
17
Let y = 39 + -34. Let q = 12 - 7. Suppose -4*o - 107 = -5*k, -q*k - 2*o = -60 - 29. Calculate the remainder when k is divided by y.
4
Let s(p) = -6*p - 30*p - 32*p + 1 + 11*p. Suppose -5*g + 72 = 3*m, -g - 14*m + 17*m = -18. What is the remainder when s(-1) is divided by g?
13
Let n(x) = 10*x**2 + 8*x - 137. Let j(p) = -7*p**2 - 5*p + 91. Let b(t) = 7*j(t) + 5*n(t). Calculate the remainder when 16 is divided by b(-10).
0
Suppose 3*m = -2*q + 46, 20 - 2 = 2*q - 4*m. What is the remainder when ((-78)/(-4))/(5/(40/6)) is divided by q?
9
Suppose 5*v = 5*m - 16235, -2*v - 197 = -191. Calculate the remainder when m is divided by 16.
12
Let u(a) = 23*a - 116. Let w be u(5). Let c(q) = q**2 + 65. Calculate the remainder when c(0) is divided by 624/18 - 0 - w/3.
30
Let r = -26061 - -26468. Calculate the remainder when r is divided by 33.
11
Let c = -9 - -17. Suppose 24 = 4*j + 12. Suppose 0 = -i + 4*i - 2*d - 142, j*i - 144 = 3*d. What is the remainder when i is divided by c?
6
Let b = -80 - -55. Suppose 2*v - z = 38, 2*v + 31 = 5*v + 5*z. Calculate the remainder when -1 + 1*-2*b is divided by v.
15
Let p(b) = 3*b**2 - 12*b + 4. Let t be p(4). Suppose -3*s - t + 13 = -3*y, 3*y = -s + 11. What is the remainder when 41 is divided by s?
1
Suppose -4*x - 2*j = -978, j = -3*x + 885 - 149. Suppose -q = 3*r - 44, -5*q - r + 248 = -0*r. Calculate the remainder when x is divided by q.
47
Suppose -2*v - 3*x + 364 = 0, 4*v - 6*x = -3*x + 692. Suppose 0 = 3*n - 3*l - 78, -187 + 33 = -5*n - l. Calculate the remainder when v is divided by n.
2