What is the remainder when t is divided by 4/(-6) - 70/j?
7
Suppose 3*w = 6*z - z + 260, -82 = -w - 3*z. Suppose 5*r + 36 = 3*r + 4*r. What is the remainder when w is divided by r?
13
Let j = -679 - -817. Let q = 77 - 41. Calculate the remainder when j is divided by q.
30
Let z(o) = o**2 - 7*o + 4. Let t be z(5). Let v be (-344)/(-24) + t/(-9). Calculate the remainder when 6 is divided by ((-1)/4)/((60/(-32))/v).
0
Suppose -3*c + d = -c - 246, 3*c = -3*d + 360. Suppose 2*t = -5*g - 16, 4*t + 11*g = 9*g. What is the remainder when 0/((-4)/t) + c is divided by 31?
29
Suppose 12*r = -13*r + 33725. Suppose -8*n = -r + 357. What is the remainder when n is divided by 37?
13
Calculate the remainder when 181 is divided by ((-11 + 26)*4/6)/((-6)/(-15)).
6
Let x = 33 + -29. Suppose -h - h = x*g - 56, -2*h + g = -76. Let s = h + -28. Calculate the remainder when 10 is divided by s.
2
Let m(d) = -10*d - 198. Let z be m(-30). Suppose 0*i - 3*h = -5*i + 122, -5*i = 2*h - z. What is the remainder when 458 is divided by i?
18
Let n = -786 + 858. Calculate the remainder when 562 is divided by n.
58
Suppose 0 = -2*y - u + 96357, 53*u + 144534 = 3*y + 54*u. What is the remainder when y is divided by 220?
217
Let f be (72/(-16))/(4/((-24)/9)). Suppose -4*i + 608 = h, 608 = -i + 5*i - f*h. Calculate the remainder when i is divided by 22.
20
Suppose 7*s - 645 - 13579 = 0. Suppose 30*q - s = 26*q. Calculate the remainder when q is divided by 32.
28
Let a = 12217 + -12189. What is the remainder when 113 is divided by a?
1
Suppose -4*b = -3*q - 34, -2 - 36 = -4*b + 5*q. What is the remainder when 11 is divided by 2/(-6)*1*(b + -25)?
5
Suppose -2*t - 5*o - 11 = 0, o - 10 = 5*t - 23. Suppose t*c - 223 = -203. Let f(v) = 7*v + 7. What is the remainder when f(6) is divided by c?
9
Suppose 2*q + 3*t = -138, 0*t = q - t + 79. Let p(s) = -68*s - 268. Let w be p(-2). Let d = q - w. What is the remainder when d is divided by 12?
9
Let w(i) = i**2 + i - 6. Suppose -27*s - 234 = -18*s. Let k(r) = 6*r + 169. What is the remainder when w(5) is divided by k(s)?
11
Let v(y) = y**3 + 14*y**2 - 27*y - 577. What is the remainder when v(-11) is divided by 8?
3
Let x(o) be the third derivative of -o**6/120 + 4*o**5/15 - o**4/24 + 5*o**3 - o**2 + 5. What is the remainder when 235 is divided by x(16)?
11
Let q = -3698 - -3762. Suppose -4*v - i + 21 = -0*v, 4*i = -5*v + 40. Suppose r = v*r - 66. Calculate the remainder when q is divided by r.
20
Suppose -j - 468 = -19*j. Suppose 4*n - 5*p - 10 - 585 = 0, 4*n - p - 615 = 0. What is the remainder when n is divided by j?
25
Suppose -52*x + 27720 = 13*x + 5*x. What is the remainder when 615 is divided by x?
219
Suppose 9 - 19 = -2*q. Suppose 2*v = 2*u + 8, 4 = -u - 0. Suppose 3*b - q - 25 = v. What is the remainder when 19 is divided by b?
9
Suppose -4*l + 6 = -x, -3*x = x + l - 27. Let j(b) = -b**3 + 12*b**2 - 6*b + 118. Calculate the remainder when j(0) is divided by x.
4
Let x = -326 - -327. Suppose o - 5*o + 375 = -s, 0 = s - x. What is the remainder when o is divided by 8?
6
Suppose 2*h = -2*k + 6, -44 = -3*k + 2*h + 2*h. Calculate the remainder when 105 is divided by k.
1
Suppose -170 + 168 = -h. Let d(j) = -j + 7. Let c be d(3). Suppose 2*w = 5*n + 5*w - 11, 7 = c*n + 3*w. Calculate the remainder when n is divided by h.
0
Calculate the remainder when (-114)/(-4)*(26 + (-3 - -11)) is divided by 241.
5
Let r be (-576)/(8 + -16) - (-2 - -2). Suppose -46*i + 42*i = -r. Calculate the remainder when 212 is divided by i.
14
Suppose 55*c = 44*c + 140 + 124. What is the remainder when c is divided by 16?
8
Let i be ((-2 - 7)*1)/(3/(-12)). Suppose -4*n = -4*u - 3 + 39, 0 = -4*u + 2*n + 26. Calculate the remainder when u is divided by 8/i + 75/27.
1
Let i(m) = 156*m - 3181. What is the remainder when i(22) is divided by 181?
70
Suppose -21*x + 0*x = -3360. Suppose -9*k + x = -38. Suppose 186 + 72 = 3*t. What is the remainder when t is divided by k?
20
Suppose 27 - 233 = 2*m. Let l = -70 - m. Calculate the remainder when (-2*(-90)/(-35))/((-6)/112) is divided by l.
30
Let q = -23574 + 23590. Suppose -4*m + w = -0*w - 1269, w = -5. What is the remainder when m is divided by q?
12
Let s = 5347 - 5302. Calculate the remainder when 1565 is divided by s.
35
Suppose -3*o - 148 = -t, 26*t + 71*o - 69*o = 2808. Let h = 90 + -46. Let r = -6 + h. Calculate the remainder when t is divided by r.
33
Let c = 3757 - 3737. Calculate the remainder when 4475 is divided by c.
15
Let y(x) = 21*x**2 - 3*x + 2. Let v be y(2). Suppose -s + 2*w + 40 = 0, 4*w = -s - 2*s + v. Calculate the remainder when 185 is divided by s.
25
Suppose -986*w = -981*w + k - 579, -3*w = 2*k - 339. What is the remainder when w is divided by (34/(-3))/(8/(-12))?
15
Let w(r) be the first derivative of -4*r**3/3 + 12*r**2 + 4*r + 1. Let m be w(10). Calculate the remainder when 61 is divided by 2/6 - m/18.
7
Let j(l) = 4*l**3 + 199*l**2 - 73*l - 82. Calculate the remainder when j(-50) is divided by 34.
14
Let x be 34/(((-1)/14)/(1/(-7))). Suppose -w = -2*s - 4 - 89, w + 3*s - x = 0. What is the remainder when 245 is divided by w?
79
Let i be -1 - -1 - (0 - 18). Let j = 1225 - 1216. Calculate the remainder when 38 is divided by (-2)/j - (-148)/i.
6
Suppose -v + 2*y - 1 - 6 = 0, 0 = -3*v - 3*y + 24. Suppose 0 = 3*h + 12, -4*h - 48 = -v*q + 25. What is the remainder when 396 is divided by q?
16
Let c(q) = q**3 - 15*q**2 - 16*q + 12. Suppose 7 = 2*x - 1. Suppose -x*h + 3 = -3*h. What is the remainder when c(16) is divided by h?
0
Suppose -84 = -9*u + 15*u. Let l(m) = 240*m + 16. Let v be l(u). What is the remainder when v/(-64) - 1/4 is divided by 14?
10
Suppose 4*g + g = 45. Calculate the remainder when g is divided by (-72)/(-10) - (-14 - (-710)/50).
2
Let k = 6 + -1. Suppose 2*s = -4*x + 72, s + 59 = -2*x + k*x. Let g(b) = 2*b**2 + 49*b + 154. Calculate the remainder when x is divided by g(-21).
5
Calculate the remainder when 417 is divided by ((-17)/3 - -5 - (-455)/30)*6.
69
Let x be (-147)/(-245) - 107*2/(-10). Suppose -23*q = -x*q - 215. What is the remainder when q is divided by 36?
35
Suppose 4*m + 3*u = 5*u + 4262, 3*u + 2137 = 2*m. What is the remainder when m/6*19/76*3 is divided by 45?
43
Let t(l) = -97*l - 288. Let i be t(-3). Let h = 1 + 4. Suppose y + w = h*y - 34, -i*w + 6 = 0. Calculate the remainder when 33 is divided by y.
6
Let l = 338 - 336. Suppose -5*i = 4*s + 12, 0*s + 4*i - 32 = 2*s. Calculate the remainder when s/(-44) + 31/11 is divided by l.
1
Suppose -12 = 2*s, -13*u - s + 3054 = -3*u. Calculate the remainder when u is divided by 15.
6
Let x(a) = -a**2 - a - 1. Let k(s) = 2*s**2 + 37*s + 16. Let b be k(-18). Let j be x(b). What is the remainder when 50 is divided by (-40)/j*(-6)/(-12)*3?
10
Let v = 2060 + -1652. What is the remainder when 822 is divided by v?
6
Suppose -u + 8 = u. Let f(q) = -4*q + 33. Suppose -5*t - 3*l + 313 = 0, t - 27 = -5*l + 18. Calculate the remainder when t is divided by f(u).
14
Let p be (1*(-3 - 94))/(-1). Let n = -62 + p. Calculate the remainder when n is divided by 20.
15
Let s(w) = -w**3 - 9*w**2 + 12*w + 17. Let l be s(-10). Let x be -1 + 6/l + 0. Calculate the remainder when 19 is divided by (-15)/2*((-54)/(-15))/x.
1
Suppose -315 + 174 = -k - 4*q, -4*q + 266 = 2*k. Calculate the remainder when k is divided by 6.
5
Calculate the remainder when 76 is divided by (-542)/(-18) + 30/(-270).
16
Let y(p) = 42*p**2 + 644*p + 1925. Let t = 148 + -73. What is the remainder when y(-3) is divided by t?
71
Suppose -4 = -q - v + 6*v, 4*q - 5*v - 31 = 0. Let p(h) = h**3 - 7*h**2 + 8*h - 9. Suppose 0 = 4*n + 3 - 27. What is the remainder when q is divided by p(n)?
0
Suppose 2*q = 38 + 48. Suppose 23*d - 372 = 19*d + m, 2*d + 3*m = 200. Calculate the remainder when d is divided by q.
8
Suppose 32*j - 43*j = -5852. Suppose 91*h = j + 3290. Suppose b + 235 = 3*d, -4*d + 295 = -8*b + 3*b. Calculate the remainder when d is divided by h.
38
Suppose 10*z = 5*z - 5*o - 1525, -295 = z + 3*o. What is the remainder when 123 is divided by 642/20 - (-31)/z?
27
Suppose 0 = -2*t + 2*d + 366, -2*t = -64*d + 67*d - 356. Calculate the remainder when t is divided by 27.
19
Let b(d) = d**3 - 46*d**2 + 4*d - 166. What is the remainder when 976 is divided by b(46)?
4
Let h 