z = q - 26. Suppose -110 = 4*i - 6*i + 5*t, -2*t = z*i - 124. Calculate the remainder when i is divided by 9.
6
Let i(x) = 13*x - 54. Suppose 25*c + 0*c - 200 = 0. Calculate the remainder when 193 is divided by i(c).
43
Suppose 3*r - 10584 + 9405 = 0. What is the remainder when r is divided by 137?
119
Let g = -5227 + 5269. Calculate the remainder when 325 is divided by g.
31
Let v(i) = 36*i**2 + 1228*i + 168. What is the remainder when v(-38) is divided by 90?
88
Suppose -3*d = -d - 158. Suppose 74 = -19*r + 20*r - 5*p, 4*r - 3*p - 194 = 0. What is the remainder when d is divided by r?
35
Let x(n) = 5*n**2 - 18*n - 1446. What is the remainder when x(-21) is divided by 118?
75
Let h(a) = -a**2 + 11*a + 14. Let c be h(12). Suppose 220 = 9*f + c*f. What is the remainder when 33 is divided by f - -1 - 5/(15/9)?
15
Suppose 0 = 2*w + 10, -15*x + 17*x + 3*w - 1 = 0. Calculate the remainder when 1827 is divided by x.
3
Suppose -1513 - 5390 = -9*q. Suppose 11*k - 80 = q. Calculate the remainder when k is divided by 16.
13
Let l be ((-3)/(-3) - 4) + -3 + -34. Calculate the remainder when (l*14/(-392))/(4/14) is divided by (-3)/(-3*1/4).
1
Let s = -1835 + 1902. Calculate the remainder when 533 is divided by s.
64
Suppose 3*h + 78 = 6*h. Suppose -9*s + 2715 = 1104. Calculate the remainder when s is divided by h.
23
Suppose -54*w = 78*w - 4356. Calculate the remainder when 473 is divided by w.
11
Let k(b) be the second derivative of -5*b**3/3 - 13*b**2/2 - b. Let n(f) = 2*f + 18. Let q be n(-11). Calculate the remainder when k(q) is divided by 8.
3
Suppose -3 = -3*k, -12*k + 9 = 4*i - 11*k. What is the remainder when 308 is divided by -3 + 1 - (-52 - i)?
48
Let l(d) = d**3 - d - 1. Let o(u) = 15*u**2 - 25*u - 48. Let k(h) = -l(h) - o(h). Calculate the remainder when k(-17) is divided by 21.
17
Suppose -1 + 0 = -q. Suppose -3*m + 0 + q = -i, -2*i - 2*m = -6. Calculate the remainder when 28 is divided by i/(-3) + 159/9.
11
Let d = -10513 + 10534. What is the remainder when 3473 is divided by d?
8
Let p = -25 + 47. Suppose -2203 - 2522 = -15*i. Suppose 2*a - i = -3*a. Calculate the remainder when a is divided by p.
19
Suppose n + 39 - 320 = 0. Calculate the remainder when n is divided by ((-25756)/1918)/((-4)/14).
46
Let w = 9192 - 4351. Suppose w = 35*t - 14409. Calculate the remainder when t is divided by 29.
28
Suppose 9*a - 4095 = 24*a. Let f = -136 - a. What is the remainder when f is divided by 72?
65
Let x(s) = 6*s**2 + 39*s - 217. What is the remainder when x(5) is divided by 101?
27
Suppose -4*o = 4*n - 809 + 25, 5*o - 4*n - 980 = 0. What is the remainder when o is divided by 12?
4
Suppose -31*q - 33*q = -26*q - 33592. What is the remainder when q is divided by 122?
30
Let l(q) = 4*q**2 - 3*q. Let r be l(0). Let i be (3*1)/(1/32). Suppose -3*n + 2*g + i = 2*n, -n + 2*g + 16 = r. What is the remainder when 57 is divided by n?
17
Let b(r) = r**2 - r - 23. Let s be (21 + (4 - 2) - -5)/2. Calculate the remainder when b(s) is divided by 83.
76
Let i(t) = t**2 - 5*t + 3. Let h be i(-5). Suppose 0 = -a - n + h, 0 = -4*a - n + 6*n + 257. Let q = 83 - a. Calculate the remainder when 94 is divided by q.
19
Let f = 722 + -532. Calculate the remainder when f is divided by (16/(-5))/((-40)/300).
22
Let x(r) = 17*r - 12. What is the remainder when (15/24 - 1) + (-28179)/(-72) is divided by x(4)?
55
Suppose 213529 - 160874 = 235*c - 297495. What is the remainder when c is divided by 8?
2
Suppose -5*g = 4*g + 54. Let d(j) = -2*j - 8. Let k be d(g). Suppose k*u + 25 = 5*u. Calculate the remainder when u is divided by 12.
1
Let c = -123 - -177. Suppose -6*y = -3*y - c. Let k(o) = 70*o**3 + o**2 - 22*o + 21. Calculate the remainder when k(1) is divided by y.
16
Let c(n) = n**2 - 28*n + 114. Let w be c(24). Suppose 0 = 2*k + 6, -5*d = 4*k - 256 + 53. What is the remainder when (132 + -118)/(2/w) is divided by d?
40
Let k = 361 + -309. What is the remainder when 165 is divided by k?
9
Suppose -2*z - 7 = -3*c, 108*z = 109*z - c + 1. Suppose 2*v - 13 = k + 7, z*v - 4*k - 36 = 0. Calculate the remainder when (21/2 + 0)*2 is divided by v.
10
Let n(v) be the first derivative of 135*v**2/2 + 28*v - 145. Calculate the remainder when n(2) is divided by 13.
12
Calculate the remainder when (-13 + -29 + 39)/((-3)/607) is divided by 15.
7
Let c(t) = -t**3 + 3*t - 2. Suppose -4*l - 75 = -9*l. Let y = -18 + l. What is the remainder when c(y) is divided by 9?
7
Suppose -6*k + 3*k + 11 = 4*d, 4*d = -k + 9. Suppose -4*j = -4*m - 108, 25*j = 28*j + d*m - 76. What is the remainder when 46 is divided by j?
20
Let u(g) = 7*g - g + 17*g - 4*g - 11. Let b be u(5). Suppose 0 = -3*l + 10*l - b. What is the remainder when 40 is divided by l?
4
Suppose 0 = -k - 2*a + 118, -3*k + 5*a = -123 - 242. Suppose -k = -3*p - 3*p. What is the remainder when (-3 - 2)/(1/(-7)) is divided by p?
15
Suppose 1356 = -4*t + 4*r, -3*r + 748 = 5*t + 2419. Let o = t - -444. Calculate the remainder when o is divided by 31.
15
Suppose -2*m - 2*h - 30 = -3*m, 2*m + 5*h = 96. Let n = -21 + m. What is the remainder when n is divided by ((-2)/8)/(138/(-1104))?
1
Let c(q) = -q. Let z(k) be the second derivative of 11*k**3/2 - 7*k**2/2 - 36*k. Let o(r) = -3*c(r) + z(r). Calculate the remainder when 84 is divided by o(1).
26
Let c(v) = 2*v**2 - 41*v - 270. Calculate the remainder when 425 is divided by c(27).
20
Let g = -128 - -198. Let h be (15/3)/(4/20). Let k = h - 1. Calculate the remainder when g is divided by k.
22
Let g be ((-3)/(-5))/((-12)/(-60)). Let x(b) = 11*b**2 - 2*b - 4. Let d(w) = 4*w + 119. Calculate the remainder when x(g) is divided by d(-26).
14
Suppose 3*q - i = -619 - 99, 3*q + 733 = -2*i. Let t = 145 + q. Let y = 138 + t. Calculate the remainder when y is divided by 9.
6
Suppose -w + 3*g = -4, -37*g = -41*g + 12. Calculate the remainder when 86 is divided by w.
8
Calculate the remainder when 6 + ((4 + -8)/2 - -592) is divided by 24.
20
Suppose -2*y - 3*y = 4*x + 400, -200 = 2*x + 2*y. Let t = x - -71. Let u(p) = -2*p + 43. What is the remainder when u(t) is divided by 17?
16
Let j(o) = -2*o**3 - 193*o + 98*o - 5 - 11*o**2 + 98*o. Let p = 29 - 36. Calculate the remainder when j(p) is divided by 32.
25
Let h = 74 - 64. Suppose h = 15*s - 13*s. Suppose 2*m - 88 = 2*i - 4*i, -140 = -4*i + s*m. What is the remainder when i is divided by 21?
19
Suppose y - 85 = 28*t - 32*t, 4*t - 158 = -2*y. Let v = -59 + y. Calculate the remainder when 795 is divided by v.
11
Let d be 24/(-16)*(3 + -5). What is the remainder when ((-3)/3)/(d/(-1074)) is divided by 40?
38
Let j(o) = -o**3 - 4*o**2 + 3*o - 11. Let x be j(-5). Let n be 59/(-3)*x/(3/(-9)). Let p = -44 - n. Calculate the remainder when 56 is divided by p.
11
Let m(x) = 6*x**2 + 3*x. Let i be (-1)/(-2)*(1 + -11). Let j(o) = o**2 - 4*o - 10. What is the remainder when j(i) is divided by m(-2)?
17
Suppose 2*o + 3264 = 6*o. Suppose 0 = 82*a - 81*a - o. Calculate the remainder when a is divided by 21.
18
Suppose 3*c - 10*c + 35 = 0. Suppose 3*y + u - 9 = 6, -c = y - 3*u. Let j(m) = -m**3 + 7*m**2 - 3*m - 4. What is the remainder when j(6) is divided by y?
2
Calculate the remainder when ((-120)/90)/((-1)/24) is divided by (-4)/1 + (-54)/(-2).
9
Let y(f) = -4*f**3 + 3*f**2 - 3*f + 2. Let h = -8 + 10. Let j be y(h). Let c = -15 - j. Calculate the remainder when c is divided by 3.
0
Suppose 24*n + 2882 + 433 = 29*n. Calculate the remainder when n is divided by 164.
7
Let b = 73368 + -73276. Let r = -10 + 33. Suppose r = 2*u - 25. Calculate the remainder when b is divided by u.
20
Suppose 5*j = -5*h + j - 939, -4*h - 780 = -4*j. Let v = -189 - h. Let l(b) = 3*b - 9. What is the remainder when l(6) is divided by v?
1
Suppose 63*a + 4149 = 68*a + 4*c, -4*c = -5*a + 4221. What is the remainder when a is divided by 36?
9
Let c = 10 - 6. Let p be (-2)/3*(-135)/18. What is the remainder when c is divided by (4/p)/(5/25)?
0
Let o be 2 + (-20740)/(-221) + 4/26. Suppose 8 = 4*s - 0*s. Suppose -82 = -5*m - 3*r + 172, s*m = -4*r + o. What is the remainder when m is divided by 11?
8
Suppose -y + 150 = -4*y - 3*l, -156 = 3*y + 5*l. Let v(f) = 4*f**2 - 3*f + 6. Let b be v(4). Let z = b + y. Calculate the remainder when 52 is divided by z.
8
Let j(a) = -280*a + 3119. What is the rem