 divided by (-819)/(-20) + (-9)/(-180)?
20
Suppose -5*g + 3*o + 3046 = 0, -1217 = -2*g + 315*o - 314*o. What is the remainder when g is divided by 14?
3
Let w = -69 - -93. Let j(u) = 5*u**2 + 6*u - 11. What is the remainder when j(-10) is divided by w?
21
Let o(j) = j**3 - 4*j**2 + 2*j - 3. Let q be o(4). Suppose 0 = 188*y - 191*y + 24. Suppose m - q = y. Calculate the remainder when 51 is divided by m.
12
Let n(m) = 9*m**2 + 92*m + 220. What is the remainder when 2461 is divided by n(-3)?
11
Let r = -115 + 202. What is the remainder when r is divided by (8/(104/351))/(2 + -1)?
6
Suppose 0 = 20*s - 512 - 5088. Let f = -251 + s. What is the remainder when ((-8)/12)/((-6)/747) is divided by f?
25
Suppose -2*f + 90 = -3*r, 4*f - 158 = -8*r + 3*r. Let l be ((-128)/(-24))/(6/18). Let j = f - l. What is the remainder when 77 is divided by j?
25
Suppose 2*g - 1 = 3*w - 3, 5*w + 3*g - 35 = 0. Suppose -192 = -2*s + w*z, 5*z = 2*s + 10*z - 210. Calculate the remainder when s is divided by 53.
47
Let b = 142 + -110. What is the remainder when b is divided by (2/(-8))/(1*1/(-92))?
9
Suppose -p + 173 = -d, -23 + 8 = 3*p. Let c = -137 - d. Calculate the remainder when 160 is divided by c.
37
Let r(w) = w**3 - 16*w**2 - 14*w - 33. Calculate the remainder when r(17) is divided by 16.
2
Let h(a) = a**3 + 48*a - 2 + 5 + 21*a**2 - 19 + 2*a - 18. Calculate the remainder when h(-18) is divided by 5.
3
Let j be 18 - 14 - (-371 - 0). Suppose 4*n - f + j = -41, 2*n + 4*f = -226. Calculate the remainder when -5*(-7)/(n/(-144)) is divided by 25.
23
Let s = -325 + 328. Suppose s*w - 52 = 2*m, 9 = -2*m + 17. Suppose -5*b = -q - 55, 11 = b + 3*q - 6*q. What is the remainder when w is divided by b?
9
Let h(x) = -3*x**2 + 22*x + 87. What is the remainder when 98 is divided by h(9)?
14
Suppose 12000 = 19*l - 3*l. Let q = l + -380. What is the remainder when q is divided by 31?
29
What is the remainder when 464 is divided by ((-3)/12)/(15376/(-1920) - -8)?
14
Let s = -9735 - -9752. What is the remainder when 644 is divided by s?
15
Let y = -283 + 197. Let v = 141 + y. What is the remainder when v is divided by 19?
17
Suppose 5*g - 3*t - 223 = 12, -3*t = -15. Let f = -55 + g. Calculate the remainder when 49 is divided by (f*5)/(-1) + (-1 - -1).
24
What is the remainder when (-33)/133 + 15/105 - (-207315)/57 is divided by 13?
10
What is the remainder when (30/(-8))/((-543)/215752) is divided by 41?
14
Let t = 7296 + -6982. Calculate the remainder when 366 is divided by t.
52
Let s(k) = -65*k**3 - 4*k**2 - 3. Let j(y) = 67*y**3 + 4*y**2 + 4. Let q(v) = 5*j(v) + 6*s(v). Calculate the remainder when 168 is divided by q(-1).
9
Let c(w) = -96 - 14*w - 3*w + 2*w - 2*w + 125. What is the remainder when c(0) is divided by 15?
14
Let m be 4/(20/35) + -1. Suppose 3 = f, -m*a - f = -2*a - 19. Suppose -a*r - g + 92 = -3*g, 5*g = -3*r + 69. Calculate the remainder when r is divided by 12.
11
Let b(g) = -2*g**3 + 2*g**2 - 2*g - 2. Let v = 13 + 1. Suppose -4*o + 14 + v = 0. What is the remainder when b(-2) is divided by o?
5
Let x = -3 - 13. Let z be (-15 - x) + (0 - -28). Suppose 2*b - 19 - z = 0. What is the remainder when b is divided by 13?
11
Let n(w) = 3*w - w**3 + 2*w**2 + 6069 - 6040 + 3*w + 4*w**2. Calculate the remainder when 47 is divided by n(7).
3
Let o(d) = -2*d**3 - d**2 + d - 2. Let s(t) = 9*t**3 + 17*t**2 - 36*t - 43. Let a(r) = 4*o(r) + s(r). Calculate the remainder when a(-8) is divided by 48.
45
Let c(w) = w**3 - 29*w**2 - 168*w - 26. What is the remainder when c(34) is divided by 2?
0
Suppose 0 = -2*k + 17 - 66 + 165. Calculate the remainder when 231 is divided by k.
57
Suppose 265*m = -172*m - 132*m + 21053. Let s(f) = f**3 - 6*f**2 + 4*f - 5. What is the remainder when s(7) is divided by m?
35
Let u(q) be the first derivative of q**3/3 - 5*q**2/2 - 13*q - 3. Let o be u(7). Calculate the remainder when (o - 1) + (-1 + 88)/1 is divided by 30.
27
Let o = 52 + -23. Calculate the remainder when (-245025)/(-1485) - -1*5*1 is divided by o.
25
Calculate the remainder when 21 is divided by (-2)/(4/6)*377/(-87).
8
Calculate the remainder when 4041 - 11/((-99)/72) is divided by 15.
14
Calculate the remainder when 1282 is divided by (9450/(-7425))/(1/(-11)).
8
Let f be (6 - (-1294)/(-16)) + (-3)/24. Let l = 23 - f. Calculate the remainder when l is divided by 44.
10
Suppose -2*t = 5*y - 363, 27*t - 5*y - 8005 = -3032. Calculate the remainder when 766 is divided by t.
30
Let z = 67 - 156. Let j = z + 115. What is the remainder when j is divided by 16?
10
Let j = 45 + -21. Let n(a) = a**2 - 25*a + 31. Let s be n(j). Suppose -s*x = -41 - 22. What is the remainder when 33 is divided by x?
6
Suppose 23*m = 959 + 329. Suppose 5*o = 20, 5*o = 14*t - 10*t - m. Calculate the remainder when 56 is divided by t.
18
Let k = 4414 + -4392. Calculate the remainder when 876 is divided by k.
18
Let g = 31 - -87. Let q = g - 177. Let h = q - -84. What is the remainder when 147 is divided by h?
22
Let s = -183 + 269. Let y be 56/140 - (-1251)/(-15). Let i = y + s. Calculate the remainder when 12 is divided by i.
0
Let t be 978/4 + 15/(-10). Let n = t + -240. What is the remainder when 19 is divided by n?
1
Suppose 8*r - 15 = 17. Suppose -r*d + 275 = 91. What is the remainder when 226 is divided by d?
42
Let h(x) = 6284*x**3 + 4*x**2 + x. What is the remainder when h(1) is divided by 27?
25
Suppose -17 = 3*x - 2. Let n(g) = -11*g**2 + 46*g - 8. Let y be n(5). Calculate the remainder when 25 is divided by y/x + (63/15)/(-7).
5
Let t = 9 + -6. Let y(u) = -2*u - 21. Suppose 0 = -5*p - 4 - 56. What is the remainder when y(p) is divided by t?
0
Let q be (12/(-6))/(69/18 + -4). Let y(n) = 2*n - 11. What is the remainder when y(q) is divided by 5?
3
Let v = 910 - -2123. Calculate the remainder when v is divided by 69.
66
Let k = 39 - 28. Suppose 9*i = -16*i + 225. Suppose 49*z = i*z + 120. What is the remainder when k is divided by z?
2
Let u = 65 - 46. Let r = 46 - 46. Suppose r*z = -6*z + 324. Calculate the remainder when z is divided by u.
16
Let b(u) = -9*u**2 + 37*u + 4. Calculate the remainder when ((-1)/2)/((-4)/312) is divided by b(4).
7
Let r = 23 - -17. Suppose r = 5*u - 65. What is the remainder when 7 is divided by 27/12*28/u?
1
Suppose 14*v - 40 = -12. Suppose -v*x - 3*g + 512 = 0, 4 = -3*g + g. Calculate the remainder when x is divided by 121.
17
Let y(u) = -u**2 + 28*u - 28. Calculate the remainder when y(12) is divided by (((-24)/(-9))/(-2))/((-31)/1116).
20
Let w = 16412 - 14903. Calculate the remainder when 1533 is divided by w.
24
Let b = -16690 - -16974. Calculate the remainder when b is divided by 268.
16
Suppose 4*o + s = 213, 2*o + 2*o - 2*s = 210. Let u = o + -98. Let n = u + 95. Calculate the remainder when n is divided by 18.
14
Suppose -98 - 253 = -35*s + 139. Let v(x) = -x**2 - 3*x + 8. Let y be v(-4). Suppose -y*w - 320 = -8*w. What is the remainder when w is divided by s?
10
Suppose -i + 8 = i. Suppose 0 = i*p - 30 - 18. Suppose p*c - 4*c - 176 = 0. What is the remainder when c is divided by 6?
4
Suppose -7*h - 47*h = 3901 - 122539. Calculate the remainder when h is divided by 25.
22
Suppose -t - 7*t - 320 = 0. Let z(a) = 21*a**2 + a. Calculate the remainder when (-2)/(-8) - (-52)/(-16) - t is divided by z(-1).
17
Let c(o) = 92*o + 4945. What is the remainder when 12555 is divided by c(-52)?
158
Suppose 5*v - 4*t = 0, 0 = v + t + 2*t - 19. Suppose 3*k - 351 = -3*c, 5*k + 1 = v*k. Calculate the remainder when c is divided by 15.
13
Suppose -3*m + 7 + 32 = 4*g, -2*g + m = -7. Suppose -f - 5*b + 13 = g, 0 = -4*f + b + 49. What is the remainder when 82 is divided by f?
10
Suppose -v = t - 50, -12*v = v + 5*t - 698. What is the remainder when 932 is divided by v?
36
Let u(g) = 599*g - 4362. What is the remainder when 3450 is divided by u(8)?
10
What is the remainder when (2542/3813 - 152*7/(-6))*1/2 is divided by (2/4)/((-1)/(-26))?
11
Suppose 0 = 5*v - 2*w - 4237, 39 = -5*w + 59. Calculate the remainder when v is divided by 280.
9
Let i(b) = 411*b - 7158. Calculate the remainder when i(18) is divided by 25.
15
Suppose -6*d + 56 = -2*d. Calculate the remainder when (-25816)/840*300/(-20) is divided by d.
13
Let l = -21824 - -31148. Calculate the remainder when l is divided by 32.