r when o/(1/6*2) - -102 is divided by 21?
15
Suppose 0 = -3*d - 5*c + 404, 4*d - 2*c - 38 = 466. What is the remainder when (1/(-4))/((-8)/d) - -335 is divided by 57?
54
Let w = -2872 - -2953. What is the remainder when 551 is divided by w?
65
Let m be ((-8)/3)/(2/3). Let y be m - (0 + -10 + 0). Let k(h) = 4*h + 6. Calculate the remainder when 58 is divided by k(y).
28
Suppose -130*u + 151*u - 288 - 132 = 0. Let q(c) = 2*c**2 - 3*c. What is the remainder when u is divided by q(2)?
0
Suppose 0 = -105*x + 41*x + 384. Calculate the remainder when 785 is divided by x.
5
Suppose -5*s = m + 766, 0 = 13*s - 9*s + 3*m + 626. Let u be 4/(-10) - (-1036)/(-10). Let c = u - s. Calculate the remainder when 142 is divided by c.
46
Let c(y) = -y**2 - 14*y + 8. Calculate the remainder when c(-10) is divided by 2 + (-6)/(-3)*(6 - -3).
8
Let c(j) = 5472*j**2 - 2740*j**2 + 36 - 2708*j**2 + j**3. What is the remainder when c(-24) is divided by 13?
10
Let q = 783 - 223. Suppose 4*z = 4*o + q, -o = 4*o + 10. Suppose 4*g + z = 482. What is the remainder when g is divided by 29?
28
Let y(n) = -2*n**2 + 207*n - 1160. Let t(q) = 32*q - 1. What is the remainder when t(1) is divided by y(6)?
1
Calculate the remainder when (3 - (-42)/(-15)) + 16/(800/20590) is divided by 5.
2
Suppose 0 = -2*f + 12, -2*c + 287*f + 23276 = 284*f. What is the remainder when c is divided by 33?
31
Let a be (-1 - -1)/(-5 - -3). Let x = -49 + 84. Suppose a = -x*y + 31*y + 188. What is the remainder when y is divided by 8?
7
Calculate the remainder when 441 is divided by (3471/78)/(2/4).
85
Suppose 323 = -12*k + 71*k - 1152. Calculate the remainder when 296 is divided by k.
21
Let j = 4 + 65. Suppose 84 = 9*d - j. Let t = 9 + 57. What is the remainder when t is divided by d?
15
Let g(o) = -o**3 + 10*o**2 - 8*o - 3. Let k be g(5). Suppose 30*v = k + 98. What is the remainder when 173 is divided by v?
5
Suppose 0 = 3*c + 12, -5*n - 9*c = -10*c - 2014. What is the remainder when n is divided by 16?
2
Let s be (38/95)/((-1)/(-150)). Suppose s*f - 57 = 57*f. Calculate the remainder when 110 is divided by f.
15
Suppose 0 = 2*n - 3 - 7, 2*n = -i + 10. Suppose 3*l = 2*m + 34, i*l = 5*l + m - 35. Calculate the remainder when 4/(-10) - 94/(-10) is divided by l.
1
Suppose 0 = 3*r - 8 + 2. Let x(q) = q**2 - 3*q + 3. Let y be x(r). What is the remainder when (2 - y)/(16/48) is divided by 2?
1
What is the remainder when ((-9674)/(-28))/(((-18)/(-4))/9) is divided by 29?
24
Let n(d) = -9*d - 10*d - d + 28. Let a(s) = 7*s - 9. Let h(g) = 8*a(g) + 3*n(g). Calculate the remainder when h(-4) is divided by 12.
4
Suppose -13770 = 47*a - 317*a. What is the remainder when 605 is divided by a?
44
Let u(b) be the first derivative of -16*b + 31 + 1/4*b**4 - 22*b**2 + 17/3*b**3. What is the remainder when u(-19) is divided by 25?
23
Suppose 69 = k + 2*k. Suppose -284 = -51*t - 32 + 3. Calculate the remainder when k is divided by t.
3
Let b = -2911 - -2921. What is the remainder when 157 is divided by b?
7
Suppose -17*q + 830 = -12*q. Suppose -f + 3*u - 119 = 3*f, 5*f + q = -2*u. Calculate the remainder when (-2948)/f + 5/(-40) is divided by 33.
26
Let f(p) = -4*p + 92. Let l be f(22). Calculate the remainder when 15 is divided by 0/l - (1 + -8).
1
Let w be -2*(-4 - (-1 - 10075/(-10))). Suppose -18*m - 77 + w = 0. What is the remainder when m is divided by 19?
13
Suppose -3138 = -26*y + 13854 + 15196. Calculate the remainder when y is divided by 5.
3
Let u = 1260 - 1140. Suppose -5*r - 1 + 16 = 0. What is the remainder when u is divided by r?
0
Calculate the remainder when 759 is divided by (3 - 16/4)*106*(-69)/46.
123
Let a(j) = -60*j + 1. Suppose -2*i + 4 = 0, 3*i + 2*i + 15 = -5*n. Let m(s) = 2*s + 17. Calculate the remainder when a(-1) is divided by m(n).
5
Let k(o) = -2*o - 28. Let y be k(14). Let z be 23/((-21)/y*4/6). Suppose -54 = -i + z. What is the remainder when i is divided by 49?
48
Let i(n) = -n**3 - 20*n**2 - 159*n + 33. What is the remainder when i(-12) is divided by 72?
69
Suppose -25*i + 2276 = -45549. What is the remainder when i is divided by 160?
153
Let p be 1/1 - (37 + 23). Let b be ((-10)/(-15))/(2/(-267)). Let n = p - b. What is the remainder when 87 is divided by n?
27
Let t be (6 - (-9)/(-2))/(1/(-10)). Suppose 0 = 2*n - 30 - 16. What is the remainder when n is divided by (63/14)/((t/(-6))/5)?
5
Suppose 8*y - 377 = -25. Suppose 0 = -3*h - 4*h - 28. What is the remainder when y is divided by (-2)/h*50 + -2?
21
Suppose -2*b + 4*l + 158 = 0, 4*b - 287 - 3 = -5*l. Suppose -5*z + 603 - 83 = 0. What is the remainder when z is divided by b/6*(-56)/(-20)?
34
Let u = -3096 - -3203. Let s = 2 - -50. Let v = s - 16. What is the remainder when u is divided by v?
35
Let d be ((-3)/(-9))/((-2)/(-30)). Suppose p - 16*j + 11*j = 34, 5*p + 2*j - 62 = 0. Suppose -d*s = -p - 26. What is the remainder when 31 is divided by s?
7
Let w be 3*(-2)/(-3) + (4 - -119). Suppose -h - 184 = -d, -2*h + 227 = 2*d - w. What is the remainder when d is divided by 13?
11
Let n = 1917 - 1910. Let k(x) = -x**2 + 29*x - 15. What is the remainder when k(7) is divided by n?
6
Suppose 199 = 3*o + 3*i + 37, -188 = -4*o + 3*i. What is the remainder when 698 is divided by o?
48
Let m(r) = 130*r**2 + 5*r - 4. Let d be -1 + 8 + 156/(-26). What is the remainder when m(d) is divided by 27?
23
Let m(w) = w + 4. Let j(k) = -3198*k - 1 + 3192*k + 2. What is the remainder when j(-6) is divided by m(9)?
11
Suppose 3*j = -4*y + 512, -58*y = -5*j - 55*y + 834. What is the remainder when j is divided by 88?
80
Let l = 1742 - 1569. What is the remainder when l is divided by 22?
19
Let u(v) = v**3 + 21*v**2 - 16*v - 52. Let b be u(-21). Let z = b - 264. Calculate the remainder when z is divided by 4/14 - 19/(-7).
2
Let y = 6 + -4. Suppose -2*x + 78 = w, -w + y*w = -4*x + 152. Calculate the remainder when x is divided by (-4)/(4 + (-84)/20).
17
Let v = -39 - -57. Let d(a) = 53*a - v - 27*a - 24*a. What is the remainder when d(15) is divided by 5?
2
Let q = 455 + -284. Suppose 2*o - 4*y = 498, -3*y + 316 - 811 = -2*o. Suppose 6*z - 21 = o. What is the remainder when q is divided by z?
39
Suppose 0 = -4*s - c + 1276, 3*s + c = 5*c + 976. What is the remainder when s is divided by (-10 - (12 - 19)) + (14 - -1)?
8
Suppose 3*w - 2*f - 65 + 570 = 0, -4*w = 3*f + 662. Let a = w - -284. What is the remainder when a is divided by 17?
15
Suppose -37*j + 256 = 3*k - 42*j, j = -5*k + 464. What is the remainder when k is divided by 17?
7
Suppose 9*q - 432 = -7*q. Calculate the remainder when 194/6 + 4/18*3 is divided by q.
6
Let w be 8 - (9 - 4)/1. Let p be (-356)/6 - 2/w. Let u = p - -68. What is the remainder when 69 is divided by u?
5
Let z(g) = g**3 + 7*g**2 - 11*g - 14. Suppose -2*s = -5*x - 243, 0*s - 4*s + 472 = 4*x. Let u = 113 - s. What is the remainder when z(u) is divided by 10?
8
Let a(i) = -i**3 + 4*i**2 + 10*i + 10. Let q be a(6). Let h(g) = -9*g**3 - 5*g**2 - 9*g - 4. What is the remainder when 260 is divided by h(q)?
62
Let l = 287 - 49. What is the remainder when l is divided by ((-301)/(-63) - 5) + 438/27?
14
Let d(x) = x**3 - 6*x**2 + 6*x - 2. Let h be d(5). Suppose 51 = h*u - 36. Let g(a) = 3*a**2 + 14*a - 326. What is the remainder when g(10) is divided by u?
27
Suppose -4*f = -254 - 1167 - 2319. What is the remainder when f is divided by 156?
155
Let f = -276 + 455. Calculate the remainder when f is divided by 28 + (-6 - -9) + -1.
29
Suppose -9*r = -442 - 5003. Suppose -779 = -8*w + r. Suppose -17 = -10*o + w. What is the remainder when 55 is divided by o?
17
Let y(d) = -2*d**2 + 5*d - 2. Let x be y(2). Suppose -5*w + 2*p + 153 = 0, x = -w + 3*w + 3*p - 46. What is the remainder when w is divided by 74/9 + 4/(-18)?
5
Let n = -13 + 17. Suppose n*c + 5*f - 863 = 0, -4*c + c + 2*f = -653. Calculate the remainder when c is divided by 44.
41
Suppose 5*g - 2*b = 488, 5*g - 7*g + 196 = -b. What is the remainder when 7870 is divided by g?
94
Let z(p) = 8*p**2 + p**3 - 8*p**2 - 1 - 5*p**2 + 23*p**2. Let u be z(-18). What is the remainder when 42 is divided by 23/(-6)*u*6?
19
Let v(t) = t**2 - 1386*t - 9696. Calculate the remainder when 765 is divided by v(-7).
50
Let v = -12 + 60. Let s = -49 + v. Let c(w) = 36*w**2 - w - 1. Calculate the remainder w