 the remainder when 349648/410 - (1 + 6/(-5)) is divided by 409?
35
Let w(i) = 3*i - 3. Suppose -936 = 170*n + 181*n - 377*n. What is the remainder when n is divided by w(7)?
0
What is the remainder when (-4)/14 + 1348/14 is divided by ((-46)/(-14) + 24/(-84))*(-342)/(-19)?
42
Suppose -2*b - 7 + 25 = 0. Suppose i - b = -j, -i - 2*i + 27 = j. What is the remainder when 61 is divided by i?
7
Suppose -6357 - 4430 = -53*j + 6279. Calculate the remainder when j is divided by 206.
116
What is the remainder when 1013 is divided by (45/21)/(63/4263)?
143
Let k = -17945 + 18760. What is the remainder when k is divided by 23?
10
Let u be (-4 + (-58)/(-4))*924/18. Let d = u + -382. Calculate the remainder when d is divided by 32.
29
What is the remainder when (-1160)/(-2) - (-6 - -9)/(15/(-25)) is divided by 49?
46
Let b(m) = -240*m**2 + 5*m + 6. Let o be b(-1). Let z = 251 + o. What is the remainder when 176 is divided by z?
8
Let t = -2008 + 1313. Let c = -361 - t. What is the remainder when c is divided by 21?
19
Calculate the remainder when -7 + 9 + (176 + -7 + 4)*3 is divided by 160.
41
Let i be 11/((-44)/48) - -1. Let y be ((-126)/7)/((-1)/(1/1)). Let w = i + y. Calculate the remainder when 26 is divided by w.
5
Suppose -4*v + 564 + 1316 = -0*k + 5*k, 0 = -5*v. Calculate the remainder when k is divided by 76.
72
Let s = 198 - 219. Calculate the remainder when 467 is divided by 47/(7*(-3)/s).
44
Let u(d) = 87*d + 13688. Calculate the remainder when u(-152) is divided by 231.
2
Suppose -2*k + 4*l + 3 = -k, 4*k + 2*l = -42. Let u be ((-6)/k - (-42)/(-9))/(-2). Suppose -u*b + 216 = 6*b. What is the remainder when b is divided by 9?
0
Let j(x) = x**3 - 5*x**2 - 4*x + 20. Suppose 16 = 5*w + 3*q - 8, 2*w = 4*q + 20. Calculate the remainder when j(w) is divided by 17.
15
Suppose -4 = -4*m, -2*a + 13988 + 6047 = -5*m. Calculate the remainder when a is divided by 39.
36
Let p(h) = h**3 + 3*h + 5. Let u = -6 - -6. Let d be p(u). Suppose d*x - 7*x = -36. Calculate the remainder when 71 is divided by x.
17
Let z(k) = 106*k + 4497. Calculate the remainder when (90/(-1) + 1)*-1 is divided by z(-42).
44
Let k be 24/(-14) + 2 - 3603/(-7). Let n(u) = 3*u + 0*u + k - 507. What is the remainder when 91 is divided by n(5)?
22
Let y be (8/14)/(1/28). Calculate the remainder when 25 is divided by ((-2)/8)/((-1)/y) + 10.
11
Let n = 6 + -2. Suppose 4*f - 6*y = -y + 5, n*f - 23 = -y. Suppose j = 4*j - f*g + 11, -5*g + 32 = 4*j. What is the remainder when 6 is divided by j?
0
Suppose 2*w - u = 746, 4*w = 3*w + 4*u + 387. Suppose 1267 = 5*m + z + w, -2*z = -4*m + 714. Calculate the remainder when m is divided by 18.
17
Let s(r) = 32*r**2 - 3*r - 1. Let l be s(-1). Suppose 3*a = 5*k - l, 12 = 4*k - 2*k - 2*a. Calculate the remainder when 9 is divided by 42/28*k/3.
1
Suppose -x = 2*x - 423. Suppose 48*f + 684 = 66*f. What is the remainder when x is divided by f?
27
Suppose -10*p + 5 = -15. Suppose -160 = -4*n + 5*m + 52, -p*n - m = -120. Calculate the remainder when n is divided by 6.
4
Let m(i) = 5*i**3 + 8*i**2 - 97*i + 11. Calculate the remainder when m(5) is divided by 172.
7
Let a = -7352 + 7542. Calculate the remainder when 234 is divided by a.
44
Suppose 556 = 3*k + 4*j - 5*j, 0 = -2*k + 3*j + 366. What is the remainder when k is divided by 41?
22
Let v = 250 + -232. Suppose 4*d - 2*d - 36 = 0. Calculate the remainder when d is divided by 76/v + (-40)/180.
2
Suppose -9*u + 19436 = 17*u + 17*u. What is the remainder when 499 is divided by u?
47
Suppose 5*x - 66 = -6. Suppose x = c + 3*a, -2*c - a = -22 - 17. Let o(y) = y**3 - 22*y**2 + 29*y + 9. What is the remainder when o(c) is divided by 36?
33
Suppose -2*k - 3*g + 195 = 2*g, 5*g = 15. Suppose -2*t - k = -4*t. Let l = -9 + t. Calculate the remainder when l is divided by 3.
0
Let q = -2546 - -2589. What is the remainder when 261 is divided by q?
3
Let a(s) = -3*s**2 + 33*s - 18. Calculate the remainder when 2914 is divided by a(3).
52
Suppose 0 = -3*v + q + 53, -3*q + 75 = 3*v + v. What is the remainder when v is divided by 4/(-1) + (-261)/(-29)?
3
Suppose -2*k - 5*j = -170, 5*j = 4*j. Suppose -5*n + k = 20. Calculate the remainder when 62 is divided by n.
10
Suppose -53*h - 929 + 930 = -1907. Let q(p) = 3*p**2 + 11*p + 3. What is the remainder when q(-7) is divided by h?
1
Let l = -6549 + 15025. What is the remainder when l is divided by 61?
58
Suppose -49*u - 41*u = -1490 - 4180. Calculate the remainder when 753 is divided by u.
60
Let r = 16849 - 9288. What is the remainder when r is divided by 62?
59
Let t(h) = 41*h**2 - 10*h - 5*h + 3*h - 8. Let n(b) = -14*b**2 + 4*b + 3. Let j(y) = 17*n(y) + 6*t(y). What is the remainder when j(2) is divided by 14?
13
Let t(v) be the first derivative of v**3/3 - 5*v**2/2 - 6. Let y be t(6). Suppose y = 19*g - 18*g. Calculate the remainder when 15 is divided by g.
3
Let r = 186 + -460. Let a = r + 382. Calculate the remainder when a is divided by 29.
21
Let y(h) = h**3 - 5*h**2 - 13*h + 67. Calculate the remainder when 432 is divided by y(7).
62
Let c(g) = 9*g + 5. Let a(n) = n**2 + 4. Let r be a(0). Suppose 5*l + 453*s - 101 = 456*s, -36 = -4*l - 4*s. Calculate the remainder when c(r) is divided by l.
9
Suppose 4*z + 146 = 3*m, -2*z + 152 = 2*m + 22. What is the remainder when 1130 is divided by m?
28
Let n = 5 - -9. Let v = 52661 - 52565. What is the remainder when v is divided by n?
12
Suppose 3*u - 114 = u. Let c(h) = -9*h - 96. Let x be c(-7). Let a = u + x. Calculate the remainder when 118 is divided by a.
22
Calculate the remainder when (5*(-11)/110)/((-4)/3824) is divided by 463.
15
Suppose -z + 0*z = 4*w + 78, -5*z + 5*w = 290. Let s be 160/(-3) - 4/(-12). Let a = s - z. What is the remainder when a is divided by 3?
0
Let l be 1 - ((-399)/(-63))/((-2)/(-18)). Let g = 186 + l. Calculate the remainder when g is divided by 12.
10
Let c(g) = 30*g**2 + 189*g + 55. Calculate the remainder when c(-8) is divided by 48.
31
Suppose 4*p - 5*z = 6870, -3436 = -2*p - 14*z + 17*z. What is the remainder when p is divided by 78?
77
Suppose k = -2*k - 5*f - 81, 2*f - 6 = 0. Let y = -43 - k. Let w = 15 - y. What is the remainder when w is divided by 15?
11
Let n be 1*27 + 19/(-19). Suppose 0 = -23*i + n*i - 78. What is the remainder when 76 is divided by i?
24
Let w = 105 + -53. Let g(f) = 3*f - 15. Suppose -25*c + 33 = -22*c. Calculate the remainder when w is divided by g(c).
16
Let t(y) = y**3 + 27*y**2 - 33*y - 51. Let d be t(-28). Suppose -l - d = -125. Calculate the remainder when 213 is divided by l.
33
Let b(g) = -g**2 + 23*g - 7. Let t be b(22). Suppose -4*j + t + 41 = 0. Calculate the remainder when 195 is divided by j.
13
Suppose 2177 = 25*v + 1727. Calculate the remainder when 49 is divided by v.
13
Let u be (1 - 3)*19/38. Suppose -2*w = -3*n - 96, -2 = 2*n - 3*n. What is the remainder when w is divided by -3 - (-13 + 4/u - 4)?
15
Calculate the remainder when ((1421/(-35))/(-7) + -7)*-295 is divided by 26.
16
Let l = 121 - 201. Calculate the remainder when 109 is divided by ((-448)/l)/((-4)/(-10)).
11
Suppose -b - 3 = -4*c + 3*c, 5*c - 14 = 4*b. Suppose 5*o - 3*j - 20 = 0, -5*o + 5*j - 34 = -54. What is the remainder when 12/((-1)/(-1)) + c is divided by o?
2
Suppose 5*j - 5*j = j. Suppose 5*f - 25 = 5*s, j = f - 4*s - 0*s + 1. Calculate the remainder when 61 is divided by f.
5
Suppose 1131 = 24*u + 867. What is the remainder when 7542 is divided by u?
7
Let m = 120 - 118. Suppose -2*v = -0*v - m*u - 60, 3*u = -3*v + 90. Suppose n - 4*n - 2*r = -34, 5*r - v = -2*n. What is the remainder when 48 is divided by n?
8
Suppose -62 = -2*l - i, -2*l + 21 = 2*i - 45. Let o = l - 18. Calculate the remainder when 30/5*(-1 - 155/(-10)) is divided by o.
10
Let f = -513 + 522. Suppose -3*a = 5*m - 104 - 122, 0 = -a - 3. Let s = m + -16. Calculate the remainder when s is divided by f.
4
Let b(x) = -x**2 - 2*x + 65. Let w be b(20). Let f = w - -547. Let l = -9 + 44. What is the remainder when f is divided by l?
32
Suppose 3 = c - 4*v - 2, -v - 1 = 0. Let g(t) = t**2 + 6*t - 1. Let b be g(-6). Calculate the remainder when 2 + 0*b/4 is divided by c.
0
Suppose 44*n - 736 = 6260. What is the remainder when n is divided by 40?
39
Suppose -5*p + 5017 = 28*m - 26*m, 3*p - 12514 = -5*m. What is the