 is divided by 45.
43
Let r be -140 + (5 - 5)/6. Let u = r + 179. Calculate the remainder when u is divided by 13.
0
Suppose -45 = 5*g + 4*z, -20 = 5*g + 4*z - 5*z. Let d(x) = x**2 + 37*x + 178. What is the remainder when d(g) is divided by 11?
7
Let n(c) = -c**3 - 11*c**2 - 10*c + 51. Let y be n(-8). What is the remainder when 143 is divided by 111/(-74) - y/2?
27
Suppose 106 - 176 = -7*i. Suppose -i*u - 26 = -s - 8*u, -u = -5. Calculate the remainder when 127 is divided by s.
19
Let t = -378 - -383. What is the remainder when 391 is divided by 16 + 3 - (-5 + t + 5)?
13
Let l = -4936 - -4968. What is the remainder when 444 is divided by l?
28
Suppose 96 = 2*x + 100, 2*b + 3*x = 38. What is the remainder when 878 is divided by b?
20
Suppose 3 = 3*u - t - 85, 5*t - 111 = -4*u. Suppose 4*n - 145 = -u. What is the remainder when 55 is divided by n?
26
Let s = 200 - 175. Suppose -t + 5*x = -s, -t - 11*x = -7*x - 16. What is the remainder when t is divided by 11?
9
Suppose -3*k + 12 = 3*q - 3, -5*q + 2*k + 4 = 0. Let i(l) = 16*l - 10. Calculate the remainder when i(q) is divided by 6.
4
Let i(n) = 5*n**2 - 2*n - 2. Suppose 22*z - 322 = 15*z. Suppose w + 56 = 3*g, 3*g + 2*w = w + z. What is the remainder when i(-3) is divided by g?
15
Let n(j) = 7*j**2 - 2*j - 18. Let w(l) = 20*l**2 - 6*l - 55. Let b(z) = -17*n(z) + 6*w(z). Calculate the remainder when 65 is divided by b(7).
10
Suppose -15*q + 1346 = -22325 - 6344. What is the remainder when q is divided by 154?
153
Let d = 3705 + -3679. Calculate the remainder when 77 is divided by d.
25
Suppose -p - 120 = 3*p. Let i = p - -114. What is the remainder when i is divided by (4 - -2)/(-3)*(-87)/6?
26
Suppose -9*d = 3*m - 156, d + 8 + 109 = 4*m. Calculate the remainder when 952 is divided by m.
22
Suppose 90*q - 20925 = -15*q - 30*q. Calculate the remainder when 8989 is divided by q.
154
Suppose 193*u = -1657 + 9184. Calculate the remainder when 398 is divided by u.
8
Let g = -152 + 152. Suppose c - 178 - 163 = g. Calculate the remainder when c is divided by 49.
47
Let u = 74 + -73. Calculate the remainder when -77*u/(-3)*(-6 + 9) is divided by 27.
23
Suppose -8*m = -2612 + 812. What is the remainder when 109 is divided by ((-8)/(-6))/(60/m)?
4
What is the remainder when ((-1391)/39 - (-2)/3)/(4/(-120)) is divided by 62?
58
Suppose -2*s = -8*s + 1086. Let l = s - 151. Calculate the remainder when 238 is divided by l.
28
Let b(m) = -m**3 - 18*m**2 - 19*m + 16. What is the remainder when 2843 is divided by b(-17)?
43
Let y(s) be the second derivative of s**3/3 - s**2/2 + 3*s + 3. What is the remainder when (-620)/(-14) + (-2)/7 is divided by y(5)?
8
Let f = -6804 + 7590. What is the remainder when f is divided by 241?
63
Calculate the remainder when 371 is divided by 18/15 + ((-10728)/60)/(-6).
30
Suppose 1056 = -3*h + 4*f, -h = -6*h + 5*f - 1760. Let p = h - -356. Suppose 0 = -2*a - 0 - 6, 44 = 5*m + 2*a. What is the remainder when m is divided by p?
2
Let q be 5890/35 - (-4)/(-14). Suppose 5*r + 3*r = q. Let m(w) = w**2 + 3*w + 4. Calculate the remainder when r is divided by m(-4).
5
Let k(d) = 8*d**3 + 4*d**2 - 11*d - 80. What is the remainder when k(7) is divided by 24?
23
Calculate the remainder when 26/416 + (-3390)/(-32) is divided by 89.
17
Suppose -5*r + 628 = -152. Let h(s) = s**2 - 384*s - 2721. Calculate the remainder when r is divided by h(-7).
12
Suppose 0 = -z - 4*m + 98, 2*z - 689*m + 691*m = 238. What is the remainder when z is divided by 54?
18
Let t = 30 + -14. Suppose 10*n = 6*n + t. Let l = 7376 + -7357. What is the remainder when l is divided by n?
3
Suppose -56 = h - 4*k + 256, -2*k - 1560 = 5*h. Let l = 414 + h. What is the remainder when l is divided by 34?
0
Suppose -5*v = -3*v + 2*l - 2, 3*v - 3*l - 27 = 0. Calculate the remainder when 345 - 159 - (v + 1/(-1)) is divided by 62.
58
Suppose 4*s - 136 = 4*t, -11*t + 163 = 5*s - 9*t. Calculate the remainder when 520 is divided by s.
25
Let y = 3236 - 3148. What is the remainder when 499 is divided by y?
59
Let u(h) = h**3 - 4*h**2 - 9. Let y be u(5). Suppose -y*q + 21*q - 70 = 0. Let a(v) = 3*v + 16. Calculate the remainder when a(3) is divided by q.
11
Let n = -3168 + 3191. Let l(d) = -117*d - 1. Calculate the remainder when l(-1) is divided by n.
1
Let w(n) = -n**3 - 9*n**2 - 3*n - 9. Let g be w(-9). Let d(u) = -g - 27 + 29 + 11*u. Calculate the remainder when d(5) is divided by 7.
4
Let d = -46 - -48. Suppose -2*o = -5*v + 5, 3*o - d = -2*v - 0*o. Suppose -3*l + 5*c - 15 = -v, -l + 5*c = 18. Calculate the remainder when 4 is divided by l.
0
Let d = 4009 - 3998. Calculate the remainder when 18138 is divided by d.
10
What is the remainder when (-122210)/(-234) - (-6)/(-54) - 4/26 is divided by 25?
22
Suppose -12*a + 35 = -5*a. Suppose v + 1 = 0, 2*g + 20 - 175 = a*v. Calculate the remainder when g is divided by 27.
21
Let s(y) = -2*y**3 - 12*y**2 - 76*y - 533. Calculate the remainder when s(-7) is divided by 94.
3
Suppose 0 = -16*u - 69*u + 1020. Calculate the remainder when 924 is divided by u.
0
Suppose 0 = -5*v - m + 165, m = 2*m. Let k = v + 189. What is the remainder when k is divided by 16?
14
Let z = 6411 - 6406. Calculate the remainder when 411 is divided by z.
1
Let a be 2*2/6*(-63)/(-42). Let v be -1*(7/1 + a + 1). What is the remainder when ((-1)/2)/(v/450) is divided by 14?
11
Suppose 3*k - 12 = -3. Suppose -5 - k = -c. Calculate the remainder when 8/40*5*(49 + 5 - 1) is divided by c.
5
Suppose -217*h - 12544 = -49000. Let l(s) = 3*s**3 - 3*s. Let f be l(3). Let v = f + -38. What is the remainder when h is divided by v?
32
Suppose 0 = 2*n + 16 - 56. Let b(v) = 1 - 8 + 3*v + n*v + v. What is the remainder when b(4) is divided by 18?
17
Suppose 2*o + q = 93, -o + 4*q + 0*q = -51. Suppose -o*y = -49*y + 28. What is the remainder when 135 is divided by y?
9
Let u(h) = -h**3 + 18 - 12 - 13*h - 13 - 11*h**2 - 12. Let j be (-40)/(-6)*12/(-8). What is the remainder when 39 is divided by u(j)?
6
Suppose 2*k + 3 = k, -4*b + 167 = 3*k. Let t(a) = 9*a - 105 - 18*a - 74 - 22 - 3*a. Calculate the remainder when b is divided by t(-18).
14
Let r = -4201 + 4912. What is the remainder when r is divided by 71?
1
Calculate the remainder when 26586/16 + 16/(3200/75) is divided by 119.
115
Suppose 0 = 7*n + 3228 - 62140. Suppose 48*r + 2608 = n. Let c = -23 + 54. What is the remainder when r is divided by c?
28
Suppose 0*h = 5*h + 55. Let t = h - -23. Suppose -9*q = -156 - 267. Calculate the remainder when q is divided by t.
11
Let v = 42 + -16. Suppose -3*j - 668 = -4*y, 4*y - 419 = j + 241. Suppose -160*k - 288 = -y*k. What is the remainder when k is divided by v?
20
Suppose -2*o - 1367 + 159 = -3*o. What is the remainder when o is divided by 7?
4
Suppose -15 = 3*q, -2*i + 5*q = -i - 68. Let z = -1959 + 2056. What is the remainder when z is divided by i?
11
Let m = 236 - 167. Suppose -m = 15*s - 18*s. Suppose -22*z + 17*z = -45. Calculate the remainder when s is divided by z.
5
Suppose 0 = -2*b + 7*b + 10. Let l be -1 + (12/3 - (-1 - b)). Suppose 5*t - 5 + 1 = 3*n, -4*n + l*t = -18. What is the remainder when 7 is divided by n?
0
Suppose -5*s = 3*s + 141 - 1101. Let d(l) = -l**2 - 5*l + 5. Let x be d(-6). Calculate the remainder when s + x - (-1)/(-1) is divided by 11.
8
Suppose 0 = -76*g + 99*g - 15272. Let a = g - 638. What is the remainder when a is divided by 10?
6
Let l = 1251 - 1224. Calculate the remainder when 91 is divided by l.
10
Let v(n) = 11*n**2 + 1570*n + 95. What is the remainder when v(-143) is divided by 158?
50
Suppose -n = 3*y - 15, 10 = 4*y + 2*n - 4*n. Let f = 18 - y. Let x = -2610 + 2691. What is the remainder when x is divided by f?
11
Suppose f = 4*f + 9. Let l = 95 - 73. What is the remainder when l is divided by 8 - (1 + -1) - (f - -5)?
4
Let b(n) = -31*n**3 + 37*n**2 + 38*n + 1. Calculate the remainder when 238 is divided by b(-1).
21
Suppose 4*u + 497*n = 500*n + 199, 2*u - 57 = -n. Suppose 0 = 2*a - 63 - 125. Calculate the remainder when a is divided by u.
20
Let u = 1730 + -1625. Suppose -3*z + 56 = 5*y - 71, -5*z = -5*y - 225. What is the remainder when u is divided by z?
17
Suppose -2*z + 29 = r + 416, -4*z = -5*r - 1991. Let j = r - -684. Calculate the remainder when j is divided by 29.
28
Suppose b -