 n = -2700 - -2750. Suppose -5*o = -2*o - 39. Calculate the remainder when n is divided by o.
11
Let w = 2517 - 2511. Suppose 3*m + 7*b - 3*b - 213 = 0, 2*m - 4*b = 162. Let o = m - 40. Calculate the remainder when o is divided by w.
5
What is the remainder when 3186 is divided by (-4)/((-32)/696) + -11?
70
Suppose -5*d = -2*d - 13224. Calculate the remainder when d is divided by 18.
16
What is the remainder when ((-46)/92)/(2/(-1265)) + (-12)/48 is divided by 11?
8
Let o be 6/2*5/(105/(-224)). Let z = o - -34. Suppose -4*v - z*t + 66 = 0, -3*v = v + 3*t - 71. Calculate the remainder when 27 is divided by v.
13
Suppose 5*u - 325 = -0*u. Let r(f) = 14*f**2 - 64*f + 46. Let o be r(5). Let w = o - u. Calculate the remainder when 20 is divided by w.
9
Let x(a) = -10*a + 112. Let r be x(11). Suppose -3*l - 114 = -y, 2*l - 4*l = -r. What is the remainder when y is divided by 10?
7
Let a = -146 - -189. Let d = 73 + -55. What is the remainder when a is divided by d?
7
Suppose 27 = 2*i + 13. Let a(c) = c**3 - 8*c**2 + 9*c + 47. Calculate the remainder when a(i) is divided by 16.
13
Suppose -21*b = -24*b - 17*i - 65, 53 = b + i. Suppose l - 152 = -3*l. Calculate the remainder when b is divided by l.
31
Let b(n) = -n**3 + 27*n**2 - 29*n + 80. Let x be b(26). Suppose x*h - 43 = -i, 0 = i - 2*h - 2*h - 55. Calculate the remainder when i is divided by 25.
22
Let p(d) be the third derivative of -d**6/120 - 4*d**5/15 - 2*d**4/3 + 10*d**3/3 - 119*d**2. Calculate the remainder when (2 - 78/(-4))*8 is divided by p(-15).
32
Suppose 0 = -2*g, 12 = 108*b - 106*b + 3*g. What is the remainder when 196 is divided by b?
4
Let r = -231 + 234. Suppose -28 = -n - q, 2*q + r*q - 8 = -n. Calculate the remainder when 98 is divided by n.
32
Suppose -145 = -6*x + x. Let m be 1*38*((-85)/10)/17. Let w = m + x. What is the remainder when w is divided by 6?
4
Suppose -5*b = 2*p + 370, -370 = 3*b + 2*b - 2*p. Let v = 86 + b. What is the remainder when 23 is divided by v?
11
Suppose -7*t = -5*t + 8, 2*t = 4*z - 24. What is the remainder when 47 is divided by (104/39)/(z/18)?
11
Let q(d) = d**3 - 7*d**2 - d - 15. Let g be q(8). Let c = -29 + g. Calculate the remainder when ((-12)/30)/((-2)/530) is divided by c.
10
Let n(g) = g**3 + 9*g**2 + 8*g + 22. Let i be n(-7). Suppose 6*u = -v + 3*u + i, u = -v + 56. Let a = 67 - v. What is the remainder when a is divided by 6?
3
Suppose 39*r - 36 = -g + 36*r, -4*g + 112 = 4*r. What is the remainder when g is divided by 5?
4
Suppose 36*g + 760 = 55*g. What is the remainder when 1077 is divided by g?
37
Suppose -b = -69 + 22. Let s(v) = 2*v**3 - 12*v**2 + 45*v - 161. Calculate the remainder when s(6) is divided by b.
15
Let w(p) = -p + 32. Let t be w(14). Let r be (12/t)/((-4)/6). What is the remainder when (4 + r)*(12 - 1/1) is divided by 12?
9
Suppose -2*s + s + 5*m + 170 = 0, -2*s - 5*m = -370. Suppose 4*r = 19*r - s. What is the remainder when 68 is divided by r?
8
Suppose -5*u + l + 1895 = 0, -3*l - 329 - 64 = -u. What is the remainder when u is divided by 57?
36
Let y(w) = 53*w - 3162. Calculate the remainder when 210 is divided by y(60).
12
Suppose -16*h = -12*h - 1648. Suppose 94 - h = -6*q. What is the remainder when q is divided by 20?
13
Let z(o) = 297*o + 97. What is the remainder when 114 is divided by z(0)?
17
Suppose -4*z - 27 = 21. Let l be (75/(-2))/(6/z). Suppose -2*w + l = w. What is the remainder when 74 is divided by w?
24
Suppose 3*y + 10*c = 14*c + 1412, -960 = -2*y - 2*c. Suppose 64 + y = 10*v. What is the remainder when v is divided by 30?
24
Let y = -285 - -283. What is the remainder when (2 + (-5 - y))/(7/(-1603)) is divided by 33?
31
Let x(j) = -j**3 + 22*j**2 - 22*j + 6. Let o be x(21). Calculate the remainder when (-2 - 2118/o) + (-18)/90 is divided by 35.
34
Let v(i) = i**2 + 3*i - 6. Suppose 12*l + 29264 = 29480. What is the remainder when l is divided by v(-6)?
6
Suppose -85372*y + 85358*y + 154 = 0. Let r = -3 - -29. What is the remainder when r is divided by y?
4
What is the remainder when 3102 is divided by 48/((-4)/50*-5)?
102
Let h = 17766 + -15221. Calculate the remainder when h is divided by 75.
70
Calculate the remainder when 4734 is divided by 72*((-1139)/(-102) + -11).
6
Suppose 83 + 82 = 5*f. Let z(v) = -47*v - 5. Let l be (-8 + 11)/(((-18)/10)/3). What is the remainder when z(l) is divided by f?
32
Let k = -9 + 34. Suppose -j - k = -o, 2*o - 4*j = 43 + 3. Let v(q) = -2*q**3 + q**2 + 3*q - 3. What is the remainder when v(-3) is divided by o?
24
Suppose w - 817 = -6*n, -170*n = -175*n + 3*w + 700. What is the remainder when 1378 is divided by n?
8
Let r(y) be the first derivative of -y**4/4 + 11*y**3/3 + 11*y**2/2 + 23*y + 21. What is the remainder when 11 is divided by r(12)?
0
Let b(q) = -2*q**3 + q**3 + 1 - 6*q + 94*q**2 + 0*q**3 - 98*q**2. What is the remainder when 89 is divided by b(-3)?
9
Let h = -219041 - -219153. Let b(q) = 19*q + 1. Calculate the remainder when h is divided by b(3).
54
Let w(y) = -4*y - y + 8*y. Let c be w(10). Let x = c - -18. What is the remainder when x is divided by 5?
3
Let r = -28677 + 28839. What is the remainder when 816 is divided by r?
6
Suppose 100 - 55 = q + 2*o, 105 = 2*q - o. What is the remainder when q is divided by 6?
3
Let b(p) = p**3 + 6*p**2 + 6*p + 10. Let x be b(-5). Suppose 2*z + x*m = 67, z = m + 14 + 9. Calculate the remainder when 202 is divided by z.
20
Suppose 0 = -5*f + 121 - 26. Suppose -g = -x + 4*x - 3, -4*g + f = 5*x. Calculate the remainder when (-94)/(-4)*(14 + -117 + 105) is divided by g.
5
Suppose -2*f - 15 = -5. Let m = f + 11. Suppose 3*x = m*x - 12. Calculate the remainder when x is divided by 1.
0
Let k(i) = 30*i**3 + 3*i - 3. Let h(w) = w**2 + 16*w + 16. Let t be h(-15). Let l be k(t). Let j = l + -17. Calculate the remainder when 76 is divided by j.
11
Let m = 217 - 195. Suppose m = 5*h - 4*h. What is the remainder when h is divided by 19?
3
Suppose 65 = 2*j + 3*l - 4*l, j - 5*l - 37 = 0. Calculate the remainder when 219 is divided by j.
27
Let c(s) = 14*s**2 - 2*s - 1 + 4*s**2 + s + 2*s**2. Suppose 7*x - 318 = x. What is the remainder when x is divided by c(-1)?
13
Suppose -3*n + 8*n = -4*m + 537, -m + 2*n + 118 = 0. Let u = m + -171. Let d = u - -51. Calculate the remainder when 28 is divided by d.
4
Let z = -427 + 434. Suppose 16*q - z*q = 225. Suppose v = -9 + 55. What is the remainder when v is divided by q?
21
Suppose -4*q - 2*y = 36 - 84, q = -5*y + 21. What is the remainder when 2968 is divided by q?
9
Let l(t) = 4*t - 5. Let k(g) = -3*g**2 - 32*g - 9. Let f be k(-10). Suppose f*o - 21 = 8*o. What is the remainder when l(4) is divided by o?
4
Let x be (-3)/6*-10 + 20 + -3. Calculate the remainder when ((-834)/4)/(12 + (-297)/x) is divided by 3.
1
Suppose 0 = -7*w + 21*w - 182. Suppose -t + 17*l - 13*l = -w, 2*t + 4*l - 74 = 0. What is the remainder when 288 is divided by t?
27
Let v = -171 + 175. What is the remainder when -420*v/(-50)*5 is divided by 13?
12
Let l(h) = 242*h**2 + 59*h + 60. What is the remainder when l(-1) is divided by 73?
24
Let t = 88 - 34. What is the remainder when 126 is divided by 1194/27 + (-12)/t?
38
Suppose 659 = -12*x - 685. Let l = -80 - x. Calculate the remainder when 63 is divided by l.
31
Suppose 2*l + 501 = -5*p + 8*p, 5*p = -4*l + 879. What is the remainder when p is divided by 7?
3
Suppose k - 985 = 3*t - 8*t, 0 = 2*t + 3*k - 381. Let o = 282 + -242. What is the remainder when t is divided by o?
38
Let p = -179 - -251. Let b(s) = -6*s + 45 + s**3 + 37 - 5*s**2 - p. What is the remainder when b(7) is divided by 35?
31
Let k(w) = 2*w**3 - 23*w**2 + 14*w - 31. Let v be k(11). Suppose y = 3*h - v*h - 10, 80 = 5*h + y. What is the remainder when 1002 is divided by h?
12
Let r = -864 - -929. Suppose 3*v = 2*c - 14, 4*v - 81 = -r. Suppose a + 6 = -2*a - 5*h, -h = -4*a + 15. What is the remainder when c is divided by a?
1
Let q be 4/22*2837 - 6/(-33). Suppose 12*s = q + 528. Let n = s - 18. Calculate the remainder when n is divided by 8.
5
Let p(r) = -7*r + 1. Let j be p(1). What is the remainder when -6 - -4 - (j + -1) is divided by ((-6)/2 + 4)*4?
1
Let q = 14448 + -13011. Calculate the remainder when q is divided by 89.
13
Let m = 88 - 85. What is the remainder when (-2)/6 - (-1 + (-564)/18)