16 = -4*g, 621 = 5*n - 36*g + 32*g. What is the remainder when 1208 is divided by n?
119
Suppose 0 = -4*w - 5*b + 552, 3*b + 276 = 115*w - 113*w. Calculate the remainder when w is divided by 51.
36
Suppose 0*b - 98 = -2*b. Let m = 25 - -93. Let y = 313 - m. What is the remainder when y is divided by b?
48
Let i(n) = -12*n - 1. Let c be i(0). Calculate the remainder when c/(-6) + (-1288)/(-48) is divided by 7.
6
Let s(x) = 64*x**2 + 356*x + 3881. What is the remainder when s(-11) is divided by 32?
29
Let s(z) = 17*z**2 + z - 41. What is the remainder when s(-6) is divided by 547?
18
Suppose -15*g = -196 - 29. What is the remainder when g is divided by 7?
1
Let r(c) = -c**3 + 7*c**2 + 72*c + 65. What is the remainder when 14420 is divided by r(12)?
208
Let l = 33 + -38. Suppose -5*h + h + 5*w = 452, 0 = -4*h + 2*w - 464. Calculate the remainder when (15/l - -2)/(2/h) is divided by 16.
11
Let x(t) = -4*t + 11. Suppose 0 = -4*r - 5*r - 2*r. Suppose -10*b + 9*b - 10 = r. Calculate the remainder when 252 is divided by x(b).
48
What is the remainder when 766 is divided by (-35232)/(-144) + ((-34)/6 - -3)?
40
Suppose 7*w = 37 + 635. Let a(u) = u**3 - 6*u**2 + 11*u + 3. What is the remainder when w is divided by a(5)?
30
Suppose -1424*u = -1434*u + 130. What is the remainder when 621 is divided by u?
10
Let b = -24 + 58. Suppose -270 - 52 = -31*r - 167. Calculate the remainder when b/85*r/1 is divided by 1.
0
Suppose 0 = 10*v - 0*v + 5650. Let k = v - -973. What is the remainder when k is divided by 41?
39
Suppose -1850 = -32*f + 42*f. Let y = f + 200. Calculate the remainder when y is divided by 14.
1
Let v = -18 + 30. What is the remainder when 87 is divided by (-362)/(-24) + (-1)/v?
12
Suppose 2*a - 644 = -4*k, -3*a - 3*k - 178 = -1156. Let s(i) = i**2 + i + 3. What is the remainder when a is divided by s(-3)?
6
Let w = -292 - -1107. Let l = -806 + w. What is the remainder when 41 is divided by l?
5
Let k = 5302 - 4068. What is the remainder when k is divided by 65?
64
Suppose 43 - 165 = -2*o. Let h = 70 - o. What is the remainder when 28 + (4 - (-6)/(-1)) is divided by h?
8
Let h = 179 + -413. Let l = 245 + h. What is the remainder when 46 is divided by l?
2
Let o(c) = 10*c**3 - 47*c**2 + 84*c + 2. What is the remainder when 1956 is divided by o(6)?
8
What is the remainder when 57302*((-144)/(-224))/9 is divided by 32?
29
Suppose 6216*k + 55 = 6221*k. Calculate the remainder when 2980 is divided by k.
10
Calculate the remainder when 857 is divided by 12/(-7) - 18864/(-1008).
7
Suppose -8*u = -9*u + 4, 1027 = -5*j - 2*u. Let t = j - -323. Calculate the remainder when t is divided by 30.
26
Suppose 0 = 5*d - 55. What is the remainder when 1395/d - (-3 + (-372)/(-132)) is divided by 32?
31
Let x(n) = -3*n**3 - 4*n**2 - 20*n - 8. What is the remainder when 428 is divided by x(-2)?
28
Let g(k) = k**3 + 12*k**2 + 7*k + 6. Let j be g(-7). Let d = j + -86. Calculate the remainder when 356 is divided by d.
8
Suppose 3*l + 17 = 4*v - 9, v - 16 = -4*l. Calculate the remainder when 39 is divided by v.
7
Let s = 137074 + -137012. Let j = -380 + 684. What is the remainder when j is divided by s?
56
Suppose 173 = 4*u - 3*j, -2*j - 68 - 62 = -3*u. Let d = 598 + -523. Suppose d*m - 387 = 72*m. What is the remainder when m is divided by u?
41
Suppose 6*o + 6 = 3*o, 2*o = q. Calculate the remainder when 84 is divided by (-299)/(-65) + q/(-10).
4
Suppose 336*c - 286*c - 248300 = 0. Calculate the remainder when c is divided by 22.
16
What is the remainder when 54 is divided by (1 + -2)/((-36)/252)?
5
Let t = 597 + -436. Suppose -387 + 279 = -4*q. Calculate the remainder when t is divided by q.
26
Let a = -19 + 19. Suppose 8*t - 887 - 25 = a. Suppose -2*d + o + 17 + 33 = 0, -t = -5*d - 3*o. What is the remainder when 45 is divided by d?
21
Suppose 0 = 243*h - 180*h - 2851 - 2882. What is the remainder when h is divided by 2?
1
Let l = 7 + -2. Let w(k) = 3*k**2 - 8*k - 3. Suppose -191*j + 201*j = 2530. Calculate the remainder when j is divided by w(l).
29
Suppose -117 = -9*v + 198. Let h(g) = 16*g**2 - 19*g + 21 - 2 - g**3 - 7. Calculate the remainder when h(14) is divided by v.
33
Suppose 615*r = 638*r - 167371. Calculate the remainder when r is divided by 26.
23
Let f = 962 - 890. Calculate the remainder when 131 is divided by f.
59
Let u(b) = -102*b + 3. Let w = 74 + -76. Let a be u(w). Suppose -227 - a = -7*n. Calculate the remainder when n is divided by 35.
27
Let o be (90/40)/((-1)/(-4)). Suppose -m = -33 + o. Calculate the remainder when m is divided by 6/4*156/18.
11
Let i(y) = -21*y**2 - 2405*y + 261. Calculate the remainder when i(-114) is divided by 50.
15
What is the remainder when 828 is divided by 710/42 - 28/1470*-5?
12
Suppose -15 = -4*s + q + 3, 0 = -3*s - q + 10. Calculate the remainder when (-1 + 25/20)*5*s is divided by 3.
2
Let d(j) = -j**2 + 13*j + 28. Let s = 129 - 117. What is the remainder when 196 is divided by d(s)?
36
Suppose 53 - 163 = -11*o. Suppose -c = o*c - 2035. Calculate the remainder when c is divided by 48.
41
Let s(z) = z**2 - 17*z + 91. Let o = -9 - -28. Let i = o - 13. What is the remainder when s(4) is divided by i?
3
Let r(z) = z**2 + 3*z - 25. What is the remainder when r(22) is divided by 8?
5
Let a(g) = 21*g - 3. Let n = 45 - 66. Let k be a(n). What is the remainder when 233 is divided by k/(-17) - 26/221?
25
Suppose 7*a - 1360 = 3*a. Let u(h) = 3*h**2 - 177*h + 1519. What is the remainder when a is divided by u(10)?
46
Suppose 3*x - 3 = 66. Let r(i) = -i**3 - 13*i**2 - 42*i + 25. Let k = 428 + -436. Calculate the remainder when r(k) is divided by x.
18
Let s = -19416 + 20187. Calculate the remainder when s is divided by 19.
11
Suppose 0 = -5*v + 7 + 3. Let d(p) = -5*p - 6. Let n be d(v). Calculate the remainder when 33 is divided by ((-56)/n - 5)/(2/(-12)).
6
Suppose 20*l = 36*l - 4530 - 4638. Calculate the remainder when l is divided by 82.
81
Let r(y) = -y**3 + 14*y**2 - 21*y + 97. Calculate the remainder when r(11) is divided by 13.
8
Suppose -p - 23*k + 102 = -24*k, -5*k = -p + 90. What is the remainder when 204 is divided by p?
99
Let l be ((-15704)/(-48) - 6) + (-1)/6. Let x = -313 + l. Calculate the remainder when 80 is divided by x.
0
Calculate the remainder when 168 is divided by (-8 - 1736/(-98))/(-2 - 45/(-21)).
32
Let j(k) = -218*k + 1802. What is the remainder when 259 is divided by j(8)?
27
Let l = -996 - -1229. What is the remainder when 718 is divided by l?
19
Calculate the remainder when 67 is divided by (1*-4 - -15*3) + 19 + -13.
20
Suppose -36 = 16*q - 19*q. Suppose -10*m + q*m = 282. What is the remainder when m is divided by 21?
15
Let y = 1432 - 1000. Suppose 7*l = -l + y. Suppose 0 = -3*u - 2*u + 40. Calculate the remainder when l is divided by u.
6
Suppose 6*v + 4*p = 2*v + 104, 3*v = -p + 72. Calculate the remainder when v is divided by 4*(-2)/((-2)/3).
11
Let y(x) be the first derivative of -x**4/2 - 3*x**3 + 7*x**2 + 53*x + 213. What is the remainder when y(-6) is divided by 22?
11
Suppose 0 = -5*d + 5*j + 580, 4*j + 13 = d - 94. Suppose 0 = 5*m - 13*x + 17*x - 130, -4*m + 104 = 138*x. Calculate the remainder when d is divided by m.
15
Let t(w) = 4*w**3 - 27*w**2 + 97*w - 23. What is the remainder when 2178 is divided by t(8)?
32
Suppose -6*u - 6*u = u. Suppose -2*l - 5*g + u*g = -147, 0 = -3*g + 3. What is the remainder when 135 is divided by l?
64
Let c(i) = 122*i - 91. What is the remainder when c(7) is divided by 377?
9
Let k(q) = -q**3 + 24*q**2 + 26*q + 2. Let w be k(25). Calculate the remainder when ((w/(-18))/(-3))/(2/36) is divided by 6.
3
Let f(j) = -2*j - 130. Let a(s) = -3*s - 195. Let l(o) = -5*a(o) + 7*f(o). What is the remainder when 242 is divided by l(-38)?
26
Calculate the remainder when 250 is divided by ((-72)/10)/(-6 + (-392)/(-70)).
16
Let h be (16/(-2))/2 + 0. Let x(q) be the second derivative of q**4/2 + 5*q**3/2 - 4*q**2 - 106*q. Calculate the remainder when x(h) is divided by 16.
12
Suppose -52 - 83 = -5*b. Let x(r) = -r + 143. What is the remainder when x(14) is divided by b?
21
Suppose s = 3*v - 12, -4*s + 8 = v - 9. Let m(w) = 4*w + 159. Let p be m(4). Let x = -156 + p. Calculate the remainder when x is divided by s.
1
Let d = -314 + 543. Let g = 79585 - 79575. What