hat is the remainder when j is divided by 11?
6
Suppose 18104 - 10274 + 15396 = 14*t. What is the remainder when t is divided by 16?
11
Let z = 194 + -191. Suppose 2*p = 0, -z*l + 3*p = l - 48. What is the remainder when 95 is divided by l?
11
Suppose -7*w = 4*w - 33. Calculate the remainder when 137 is divided by ((-210)/(-8))/(w - (-105)/(-40)).
67
Suppose 115 = 5*f + 5*v, 2*v - 79 = -3*f - 3*v. Suppose 0*s = s - 38. Suppose -2*k + 180 = s. What is the remainder when k is divided by f?
17
Let l(x) = -1816*x + 3764. Suppose 2*g = -10, 3*s + 2*g - 6*g = 155. Calculate the remainder when l(2) is divided by s.
42
Let d = 190 + 317. What is the remainder when d is divided by 15?
12
Let z(b) = -3*b**3 - 5*b**2 + 59*b + 321. What is the remainder when z(-5) is divided by 5?
1
Suppose 2*f + 0*f - 380 = -4*o, o = -2*f + 395. Suppose 10*i - f = -720. Let h = i - -60. What is the remainder when 36 is divided by h?
4
What is the remainder when ((-114)/8)/((-12)/1552) is divided by 88?
83
Let s be (2*20/(-32))/(1/280). Let n = s + 570. Suppose -7*r + n = 3*r. Calculate the remainder when 38 is divided by r.
16
Let t(w) = 23*w**3 - 2*w**2 + 2*w + 8. Let r be t(-3). Let q = r + 682. Calculate the remainder when 141 is divided by q.
6
Let s = -413 + 417. Suppose 5*z = -4*t + 298, s*z - 4*t - 67 = 157. Let n = -3 + 15. What is the remainder when z is divided by n?
10
Let x(v) = 6*v**2 - 634*v - 15. What is the remainder when 1003 is divided by x(106)?
18
Let f(n) = 51*n**2 - 33*n - 192. Calculate the remainder when f(-4) is divided by 7.
0
Let v(p) be the first derivative of p**4/4 + 7*p**3/3 + p**2 - 3*p + 1. Let r(l) = l**2 + 60*l + 286. Calculate the remainder when v(-6) is divided by r(-5).
10
Let v = 3294 + -2700. Calculate the remainder when v is divided by 196.
6
Let j be 2/(-11) + 70/22. Suppose -y + 5 = 0, -z + 4*z + j*y = 30. Suppose -12*k + 40*k = 24*k + 20. What is the remainder when z is divided by k?
0
Suppose -54*u + 94 = -1148. What is the remainder when 173 is divided by u?
12
Let t(o) = o**2 - 12*o + 405. Let q be t(0). Suppose 2*r + 2*n - 190 = 0, -q = -10*r + 6*r + n. What is the remainder when r is divided by 33?
1
Suppose 3*f - 5*j = 229, -5*f + 10*f = -j + 391. Calculate the remainder when f is divided by 59.
19
Suppose -19 = -r + 3*h, -6*r + 5*r - 1 = 2*h. What is the remainder when 3140 is divided by r?
4
Suppose 5*n = n - 12, -2*g + 4*n + 30 = 0. Suppose -2*z + 216 = 5*s + z, -80 = -2*s + 2*z. What is the remainder when s is divided by g?
6
Let j(i) = -51*i - 12 - 41 + 6 - 5*i - 25. Calculate the remainder when 279 is divided by j(-2).
39
Let d(x) = -x**3 - 6*x**2 - 6*x - 3. Let j be d(-5). Let s(w) = -14*w + w**j + 17 - 17*w + 48*w. Calculate the remainder when 139 is divided by s(-18).
34
Suppose -357*g + 258*g + 2376 = 0. Suppose 5*h - 600 = 4*r, -2*r - r + 565 = 5*h. Calculate the remainder when h is divided by g.
20
Let f(a) = -282*a - 1819. Calculate the remainder when f(-8) is divided by 90.
77
Let n = -214 + 144. Suppose 10*d + 1570 = 520. Let s = n - d. Calculate the remainder when s is divided by 11.
2
Let j be (-17)/(255/2376)*-10. Suppose -j = 18*r - 40*r. Calculate the remainder when 142 is divided by r.
70
Let t = -3494 - -3514. What is the remainder when 1894 is divided by t?
14
Let u(t) = -9*t - 229. Let c be u(-25). Let v(i) = -61*i - 93. Calculate the remainder when v(c) is divided by 46.
13
Let c(z) = 54*z**3 - 2*z**2 - 5*z + 26. What is the remainder when c(3) is divided by 723?
5
Let b(h) = 1135*h - 1948. What is the remainder when b(5) is divided by 7?
3
What is the remainder when 8384/18 - 28/(-126) is divided by 45?
16
Suppose n - 18 = -5*n. Suppose n*w - 126 = 3*q + 156, 0 = -q. Calculate the remainder when 469 is divided by w.
93
Suppose 92*s + 62*s - 121670 = -76*s. What is the remainder when s is divided by 63?
25
Let n = 19488 - 19466. What is the remainder when 26 is divided by n?
4
Let n(f) = 5*f**2 + 85*f. Let l be n(-16). Let h = l - -134. What is the remainder when 269 is divided by h?
53
Suppose 0 = i - 3 + 1. Suppose 2*h - 86 = 3*h + k, -i*h - 4*k = 172. Let o = h - -134. Calculate the remainder when o is divided by 5.
3
Suppose -6472*y + 6500*y = 560. Let d = -40 + 78. What is the remainder when d is divided by y?
18
Suppose -13*y + 11*y = -40. Let m be 188*6/y + 16/(-40). What is the remainder when 3 is divided by 42/m - -5*1/4?
1
Let l = 35267 + -34836. What is the remainder when 1018 is divided by l?
156
Let m = -87 + 118. Suppose -m*j + 43*j - 648 = 0. What is the remainder when 156 is divided by j?
48
Suppose s = -z + 28, 2*s + 2*s + z - 97 = 0. Let i = s - 26. What is the remainder when 100 is divided by (-3 - (i + 2)) + 28?
22
Let n = 42 - 38. Suppose -4*u + 5*u + 28 = -n*g, 4*u - 4*g = -172. Let l = u + 51. What is the remainder when 64 is divided by l?
9
Suppose 5*q = -3*u + 76 + 6, 0 = -5*q + 10. Suppose -22*k = -u*k + 56. Let o(c) = 4*c**2 + 7*c + 4. What is the remainder when k is divided by o(-2)?
4
Suppose -65*n = 68*n - 134*n + 229. Suppose 3*s - 56 - 31 = 0. What is the remainder when n is divided by s?
26
Suppose 11*m - 32*m = -13*m - 1296. Calculate the remainder when m is divided by 15.
12
Suppose 1318 = 5*r - 6*v, 0 = 6*r - 3*r + 5*v - 808. Calculate the remainder when 1851 is divided by r.
255
Let u = 2219 - 2216. What is the remainder when 81 is divided by u?
0
Let y be 5 - (2 + 0/(-5)). Let o(q) = q**2 - 8*q + 8. Let c be o(y). Calculate the remainder when (-3)/c + 1 + (-1590)/(-14) is divided by 40.
35
Let g be 1*2 + -1 - (-3250)/(-130). Let l(f) = 5*f + 135. What is the remainder when 34 is divided by l(g)?
4
Suppose 93 = 4*h - h. Calculate the remainder when ((-3)/2)/(-2 + (-1263)/(-636)) is divided by h.
13
Let n = 634 + -362. Let g(c) = 2*c**2 + 291*c - 16188. What is the remainder when n is divided by g(43)?
19
Let f(x) = -7*x**3 - x**2 - 2*x - 2. Let i be f(-1). Suppose -64 = i*d - 8*d. Suppose 35*g - 66 = d*g. Calculate the remainder when g is divided by 4.
2
Suppose 500 = 168*f - 164*f. Calculate the remainder when (3 - (7 + -5))*f is divided by 42.
41
Suppose 45 = -9*j + 21*j - 2343. What is the remainder when j is divided by 67 + 5/(20/8)?
61
Let x(w) = -3*w - 2. Suppose 5*k + 2 = -13. Let d be x(k). Suppose 6*n + 38 = d*n. Calculate the remainder when n is divided by 14.
10
Let u be (-1 - -2)/(2/(-4)). Let o be (u + 18/15)/((-2)/5). Suppose o*r + 24 + 0 = 5*t, 3*t - 14 = r. Calculate the remainder when 10 is divided by t.
2
What is the remainder when 461 is divided by ((-15)/(-12))/5*272*(-18)/(-72)?
2
Let m = 44046 + -43940. Suppose -d = 2*o - 24 - 1, 5*d = 4*o + 153. What is the remainder when m is divided by d?
19
Let w(u) = u**2 - 9*u + 13. Let c be w(8). Suppose -n + 4*n + c*y - 178 = 0, -5*n + 2*y = -245. Calculate the remainder when 2/7 + 6910/70 is divided by n.
48
Suppose t - 5*o = 107, -270*t = -269*t + 2*o - 128. Calculate the remainder when t is divided by 73.
49
Let a be -1*(-1)/1*122. Let p = -5549 + 5580. Calculate the remainder when (a/6)/(1/6) is divided by p.
29
Let m(k) = 5*k - 2. What is the remainder when -10 - 8/((-96)/4500) is divided by m(5)?
20
Let w(q) = 11*q**2 - 40*q**2 + 13*q**2 + 32*q + 15*q**2 - 79 + 11. Calculate the remainder when 128 is divided by w(29).
14
Suppose 4*u + 3 = -q + 22, 3*u = 5*q - 49. Let p(o) = 22*o - 31. Let d be p(5). Let b = 143 - d. Calculate the remainder when b is divided by q.
9
Suppose 78 = 5*b - 4*i - 0*i, 3*b - i = 44. Suppose 8*t = b*t - 18. Suppose -4*k + 4 = -3*g, 0 + 3 = t*k - 4*g. What is the remainder when k is divided by 1?
0
Let v = 7316 - 7110. What is the remainder when 4324 is divided by v?
204
What is the remainder when 111/(-259) + 17394/14 is divided by 39?
33
Let o(m) = m**2 + 20*m - 725. Calculate the remainder when o(-77) is divided by 21.
10
Let o(t) = 163*t**2 + 154*t - 154. Calculate the remainder when 501 is divided by o(1).
12
Let x be 0 + -1 + (45 - 40). What is the remainder when 12/(-8)*x + 73 is divided by 14?
11
Suppose -101*q + 89*q = -468. Let n be 3*(-1)/(6/(-32)). Suppose 0 = 2*x - 138 - n. Calculate the remainder when x is divided by q.
38
Suppose -4*c + 258 = -2*c. Let z(d) = -d**3 + 13*d**2 - 22*d - 108. Calculate the remainder when c is divided by z(6).
9
Let i(q)