 14*w + 1. Let t be o(-16). Suppose -6*a + t*a = 810. Calculate the remainder when a is divided by 14.
2
Suppose 2*s + 4*s - 36 = 0. Suppose -5*o + s*o + 52 = 0. Let c = 63 + o. What is the remainder when 107 is divided by c?
8
Let w(k) = -53*k + 261. Let r be w(5). Let g(n) be the first derivative of -7*n**2/2 - 2*n - 4. What is the remainder when 128 is divided by g(r)?
24
Suppose 4*i + 0 = 12. Let m be 1*(-1 + i - 2). Suppose m = -3*f + 63 - 9. Calculate the remainder when 35 is divided by f.
17
Let n = -3293 + 3348. What is the remainder when 423 is divided by n?
38
Let v = 11 - 6. Let x(q) = q**3 + 39*q**2 - 82*q - 1656. What is the remainder when x(-40) is divided by v?
4
Suppose 8*i = -i - 81. What is the remainder when (2/i)/((-1)/21)*6 is divided by 5/10*2 - -9?
8
Let v = -7645 + 7764. What is the remainder when 294 is divided by v?
56
Suppose -7*k + 31 + 18 = 0. Suppose -3*z + 2*t = -40, 2*z + 3*t = -t + 16. Suppose 58 + z = k*g. What is the remainder when 149 is divided by g?
9
Suppose -19*f + 16*f = 0. Let u be f - (-4 + -5 + 4). What is the remainder when 150 is divided by 38*(u - 4/1)?
36
Suppose -l + 28 = a - 54, l = 3*a + 62. Suppose 856 = 39*b - 665. What is the remainder when l is divided by b?
38
Suppose 3 + 32 = x. Let w be (-14)/(-2) - (-78)/39. Suppose f = w + x. Calculate the remainder when f is divided by 16.
12
Suppose 40*v + 36*v = 1672. What is the remainder when 651 is divided by v?
13
Suppose 5*d + 73 = 318. Calculate the remainder when 8477/35 + 486/270 is divided by d.
48
Suppose -230 = 15*i - 17*i. Let f = 103 - 88. Calculate the remainder when i is divided by f.
10
Suppose 2*l - 5*i - 129 = 80, -25 = 5*i. Let b = 7358 + -7309. What is the remainder when l is divided by b?
43
Suppose 3*c - 2*s - 368 = 0, -215 = -2*c + 34*s - 37*s. Calculate the remainder when c is divided by 49.
20
Suppose -5836 = -45*f + 1769. What is the remainder when f is divided by 72?
25
Suppose l + 11*t = 15*t + 238, -2*t = -l + 244. What is the remainder when l is divided by 28?
26
Suppose 134*w - 137*w + 4*a + 86 = 0, 0 = 2*w - a - 64. Calculate the remainder when 94 + 4 - (1 - 2) is divided by w.
31
Let p be -1 + (2 - -99) + (-2 - 3). Suppose -3*m = -k - 65, p = -2*m + 7*m + 5*k. Calculate the remainder when 103 is divided by m.
19
Suppose 2*f = 5*w + 56, -2*w + 126 = -17*f + 19*f. Let y be 86 - (2 + -3 + -1). Let t = y - 59. What is the remainder when f is divided by t?
24
Suppose -3*f + 430 = 2*y, -14 + 2 = 3*f. Suppose 0 = 6*x - y - 169. Calculate the remainder when x is divided by 26/1 - (-3 + (-4 - -10)).
19
Let h(r) = -19*r**3 - 3*r**2 - 3*r - 1. Let f be h(-2). Let s = f - -278. Calculate the remainder when s is divided by 39.
33
Suppose v - 5*u + 7*u - 8 = 0, 4*v = -3*u + 22. Suppose v*x + 5*q - 151 = 52, 3*x - 138 = q. What is the remainder when x is divided by 18?
11
Suppose 5*o = 3*d - 436, -5*d - 19*o + 764 = -22*o. Calculate the remainder when d is divided by 2.
1
Let r = -57 - -65. Suppose 256 = 11*v - r. What is the remainder when 212 is divided by v?
20
Suppose -226 = -55*t + 50*t - 41. What is the remainder when t is divided by 37?
0
Let l(u) = -2*u**2 - 23*u - 20. Let f(t) = 11*t - 130. Let o be f(11). Calculate the remainder when l(o) is divided by 15.
10
Let d(a) = 2*a**2 - 55*a + 25. Let b(m) = m**2 - 28*m + 10. Let r(u) = 5*b(u) - 3*d(u). What is the remainder when r(16) is divided by 42?
35
Calculate the remainder when 2609 is divided by (17 + -11)*1125/270.
9
What is the remainder when (145 - 1) + (0/(3 + 9))/4 is divided by 2 + 0 - (-51 - -4)?
46
Let m be (-6)/2*(-18)/27. Suppose -4*k - 3*a + m*a + 215 = 0, k - 75 = 4*a. Let d = k + -41. Calculate the remainder when 69 is divided by d.
13
Let s be (-1)/(3/2) - (-46)/69. Let n(u) = -u**3 - 4*u + 3. Let y be n(s). Calculate the remainder when (1 - 0)/((-40)/14 + y) is divided by 6.
1
Let c(d) = d**3 + 68*d**2 - 67*d + 247. Calculate the remainder when 1311 is divided by c(-69).
3
Let p(q) = 2*q**3 + 75*q**2 - 57*q - 393. Calculate the remainder when p(-37) is divided by 147.
145
Let g be (1 - 4)*-1 + 23/(-23). Suppose g*x - 178 = 5*k, 5*k = -x - 3*x + 386. Let o = x + -27. Calculate the remainder when o is divided by 17.
16
Let q = -7289 - -9013. Calculate the remainder when q is divided by 36.
32
Let s be (-1)/5 + (0 - 6/(-30)). Suppose 2*g - 12 - 62 = s. Calculate the remainder when g is divided by 6.
1
Suppose 35 = 2*b + 15. Suppose 73*a - 28 = 191. Suppose -2*o + 276 = 23*k - 19*k, 0 = -a*k + 4*o + 207. Calculate the remainder when k is divided by b.
9
Let l(b) be the first derivative of 23*b**2/2 - 7*b - 14. Let c be l(2). What is the remainder when 112/(-42)*(-1)/2*c is divided by 27?
25
Let j = 63 + -53. Suppose 13*v = 18*v - j. Let g(o) = 3*o**2 - o. Calculate the remainder when g(v) is divided by 4.
2
Let i(c) = 20*c**2 - 218*c + 2964. Calculate the remainder when i(14) is divided by 101.
95
Let o = 22613 + -20071. Calculate the remainder when o is divided by 843.
13
Let v = 16760 - 16449. Calculate the remainder when v is divided by 133.
45
Suppose p - 291 = -3*d, 8*p = -3*d + 12*p + 291. Suppose 7*o + 48 = d. What is the remainder when 43 is divided by o?
1
Suppose 241*z = 265*z - 3792. Calculate the remainder when z is divided by (-24)/(-2)*(-33)/(-12).
26
What is the remainder when 1114 is divided by (-32)/(-10) - 2 - (-31233)/435?
19
Let w = 14184 + -14085. Calculate the remainder when 5830 is divided by w.
88
Suppose -m - u + 28 = 0, m + 3*m - 2*u - 130 = 0. Suppose -4493*g = -4876*g + 33321. Calculate the remainder when g is divided by m.
25
Let l(b) = -130*b**3 + b - 1. Let s be l(1). Let z be 40/6 + 8 + s/15. Suppose -168 = -z*d - 18. What is the remainder when d is divided by 8?
1
Suppose 0 = h + 3*g - 3, 22 = 5*g + 2. What is the remainder when 29 is divided by 2/(20/5 + h)*-15?
5
Let j(k) = 44*k**2 - 16*k - 1. Calculate the remainder when j(-3) is divided by 110.
3
Let h(f) = -f**2 - 22*f. Let q be h(-22). Suppose -v + 4*g + 12 = q, 14*g - 9*g - 10 = -5*v. What is the remainder when 28 is divided by v?
0
Calculate the remainder when (-8 - (-12)/(-10))/((-48)/45 - -1) is divided by 7.
5
Suppose 4*m + p = 24, -2*p + 29 = 5*m - p. Suppose 5*z + 43 = 2*i, 43*i - 3*z = 44*i - 5. Calculate the remainder when 288/20 + 3/m is divided by i.
1
Suppose 5*m + 78*k - 73*k - 360 = 0, -m + 2*k + 57 = 0. What is the remainder when 513 is divided by m?
44
Let k(b) = -3*b - 52. Let y be k(-18). Suppose -2*l - y*p + 8 + 50 = 0, 4*l = p + 91. Suppose 3*u = -121 + 334. Calculate the remainder when u is divided by l.
23
Suppose -3*b + 0*b - a = -1730, 4*b - 3*a - 2324 = 0. What is the remainder when 2/4*(6 + b + -10) is divided by 24?
23
Let j(u) = 2*u**2 - 185*u + 2569. Calculate the remainder when j(15) is divided by 74.
22
Suppose 4397 = 193*k - 1779. What is the remainder when 1214 is divided by k?
30
Suppose 76 = -55*f + 56*f. Suppose -2*x = 3*u - 73, 4*x = -5*u + 5*x + 139. What is the remainder when f is divided by u?
22
Let l(y) = -y**3 + 2*y**2 - y - 10. Let b be l(5). Let v = -11 - b. Calculate the remainder when v is divided by 20.
19
Suppose -9*q + 56 = -6*q + 5*t, -4*t = -q - 21. What is the remainder when (-8)/(-1) - (-2 + 3) is divided by q?
0
Suppose -4*z + 51 - 267 = 0. Let s = z + 56. Suppose u + v = 50, -s*u + 66 = 3*v - 29. Calculate the remainder when u is divided by 28.
27
Suppose -5*n + 883 = 2*a - 379, 0 = 2*n - a - 503. Suppose 17*f - n = -48. What is the remainder when 79 is divided by f?
7
Let l = 24668 + -24619. What is the remainder when 157 is divided by l?
10
Let g(n) = 28*n - 3. Let l(w) = w**3 - 11*w - 11 + 14*w**2 + 28*w - 2*w**3. Calculate the remainder when g(2) is divided by l(15).
15
Let j = -5350 + 5361. What is the remainder when j is divided by 10?
1
Let c(w) = 10*w + 10. Let t be c(-20). Let j = t - -245. What is the remainder when 274 is divided by j?
54
Suppose 2*a = -3*v - 31, -4*a - 21*v - 7 = -26*v. Calculate the remainder when (74/(-3))/((-1)/3) is divided by -1*((-3)/1 + a).
8
Suppose 3*b - 4*m - 889 = 0, 229*m - 10 = 227*m. Calculate the remainder when b is divided by 296.
7
Suppose -23 = v + 26. Let t = -33 - v. What is the remainder when t is divided by ((-30)/(-4))/((-3)/(-4))?
6
Let w(i) = 13*i - 49 + 115 