when 86 is divided by n.
8
Suppose 25 = 3*t - 5*r, -3*r + 4*r + 7 = t. What is the remainder when 312 is divided by t + (-5 - -6) - -39?
42
Let a = -274 + 463. What is the remainder when a is divided by (-1 + 0)*1 + 63 + 5?
55
Suppose -307 = -10*z + 543. Let d = -72 + z. Let k = 16 - 10. Calculate the remainder when d is divided by k.
1
What is the remainder when 12/(-9) - 1776/36*-4 is divided by 5/((-5)/(-101)) + -7?
8
Let b(v) = 122*v**2 + 2*v + 1. Let p be b(-1). Suppose 2*g = 13*g - p. Let o(s) = -s**3 - s**2 - s + 20. Calculate the remainder when o(0) is divided by g.
9
Let x(w) = -14*w + 140. Let h be x(18). Calculate the remainder when ((-2220)/518)/(3/h) is divided by 9.
7
Let u(w) = -3*w**2 + 909. Calculate the remainder when 3043 is divided by u(-17).
19
Let m = 12 + -64. Let h = -26 - m. Suppose 53 = 16*z - 171. Calculate the remainder when h is divided by z.
12
Suppose 10*v - g - 130 = 5*v, -10 = -2*g. Let f = v + 64. What is the remainder when f is divided by 33?
25
Let n = 976 - -1088. Calculate the remainder when n is divided by 7.
6
Let o be -5 + (5 - -4) - -14. Calculate the remainder when 149 is divided by ((-12)/o)/(3/(-135)).
29
Suppose 10*w - 22*w = -168. Suppose 2*p + s - 9 - w = 0, -2*p = -4*s - 38. What is the remainder when 388 is divided by p?
11
Let q(h) = 70*h**2 + h. Suppose 0 = 37*i - 5435 - 5850 + 1147. What is the remainder when i is divided by q(-1)?
67
Suppose 0 = 4*m - 16 - 40. Suppose 2*v + 2*s = -m, -3*s = -2*v + 1 - 0. Calculate the remainder when 43 is divided by (-15 + 4)*(v + 3).
10
Let j(g) = g**3 + 7*g**2 - 4*g + 7. Suppose 2397 = 209*h - 68*h. Calculate the remainder when j(-6) is divided by h.
16
Suppose 169*c - 2322 = 126*c. What is the remainder when c is divided by 11?
10
Suppose -3*r = -4*r + 25. Suppose 46*c = -16*c + 5828. Calculate the remainder when c is divided by r.
19
Let x = 26964 - 26343. Calculate the remainder when x is divided by 25.
21
Suppose 31*r + 6 = 33*r - 5*k, -2*r + 3*k + 22 = 0. Calculate the remainder when 1876 is divided by r.
13
Let t(u) = u**3 - 8*u**2 - 2*u + 18. Let q be t(8). Suppose 2*x = -0*x + i + 84, 84 = q*x + 2*i. Calculate the remainder when x is divided by 0 + -3 + 2 + 16.
12
Let c(x) = -x**2 + 34*x - 44. Let v = 263 - 232. Calculate the remainder when c(v) is divided by (-13)/(2 + 3/(-1)).
10
Let n = 517 - 512. Suppose -8*a - 4*w + 25 = -7*a, -n*a = -5*w - 175. What is the remainder when 50 is divided by a?
17
Let y(z) = 243*z - 2808. What is the remainder when 423 is divided by y(12)?
99
Suppose 1504 = -41*p + 43*p + 4*z, 4*p - 4*z - 3044 = 0. What is the remainder when p is divided by 99?
65
Let i = -53 + 93. Let g be 1 + (-8)/12 - 44/(-3). Let k = g - -62. Calculate the remainder when k is divided by i.
37
Let b be (-4 + 196/6)/(2/(-3)). Suppose -l = 4*l, 0 = -2*t + 2*l + 162. Let w = b + t. Calculate the remainder when w is divided by 10.
8
Let t(p) = 3*p**3 + 2*p**2 - 4*p - 1. Let d = 21021 - 21000. What is the remainder when t(4) is divided by d?
18
Suppose 2202 + 773 = -17*x. Calculate the remainder when 350 is divided by (-8)/14 - 25/(x/312).
42
Let g = -21 - -32. Let b = -10 + 8. Calculate the remainder when ((-3)/b)/(0 - (-3)/194) is divided by g.
9
What is the remainder when (-5766)/4*(-404)/606 is divided by 291?
88
Let d be 24/(-10) + 4/10. Let p be (18/(-12) + 1)/(d/112). Suppose f - p = -15. Calculate the remainder when 63 is divided by f.
11
Let f = -987 - -974. What is the remainder when ((-357)/(-7))/((-4)/(5 + f)) is divided by 28?
18
Suppose 0*k - 2*k - 6*a = -1750, 4*k - 3478 = -a. Calculate the remainder when k is divided by 17.
2
Let z(o) = -o**2 - 8*o - 1. Calculate the remainder when (-169)/39 - 4194/(-27) is divided by z(-6).
8
Let b = -998 - -2760. What is the remainder when b is divided by 42?
40
Suppose 5*d = -4*g + 2*g + 6603, d - g - 1315 = 0. Suppose -22*s + 507 = -d. What is the remainder when s is divided by 34?
15
Let r = 928 + -811. Suppose -138*q = -r*q - 819. Calculate the remainder when 45 is divided by q.
6
Let p(u) = -409*u + 2699. Calculate the remainder when p(-15) is divided by 94.
92
Let k be (-180 - 3)/3*1. Let c = -57 - k. Suppose 5*r = -2*d + 138, c*d - 35 = -r + 223. Calculate the remainder when d is divided by 33.
31
Suppose 0*q + 2*q = -c + 10, -q = -3*c + 9. Suppose 0 = 176*j - 5649 + 17. Suppose v - j = -5*l - c, -l + 8 = v. What is the remainder when 12 is divided by v?
0
Suppose 0 = -0*o - 3*o + 39. Suppose 53*q - 50*q = 12. Suppose -74 = -q*p + 2*p. What is the remainder when p is divided by o?
11
Let f = 142 + 285. Suppose -3 = -5*g + f. Calculate the remainder when g is divided by 13.
8
Let g be (-2)/(-6) + 4/6. Let u(t) = 58*t. What is the remainder when u(g) is divided by (4/(-8))/((-4)/96)?
10
Let k(u) = 3*u**2 + 14*u + 4. Let n(h) = 3*h**2 + 15*h + 5. Let x(i) = -3*k(i) + 4*n(i). What is the remainder when x(-8) is divided by 6/(-10) - (-588)/30?
18
Suppose 2*n = -0*n + 8. Suppose -n*y + 904 = -k, 6*y = y - 3*k + 1113. Calculate the remainder when y is divided by 62.
39
Let u(w) = -2*w**3 - 33*w**2 - 65*w + 139. Calculate the remainder when 1033 is divided by u(-14).
67
Let a = 144 + -119. Suppose -a*g + 20*g = -415. What is the remainder when g is divided by 14?
13
Let z(n) = -20*n + 1612. Calculate the remainder when z(78) is divided by 10.
2
Let a(t) = 13*t**2 - 2*t - 2. Suppose 5*p = 2*n + 22, 4*p - 7*n + 2*n = 21. Suppose -p*x - 112 = -12*x. Calculate the remainder when a(-2) is divided by x.
12
Let s be ((-54834)/24)/(-13) + (-2)/(-8). Let h = 384 - s. Suppose 6*g = -2*g + h. What is the remainder when 51 is divided by g?
25
Let y(l) = 28*l + 7. Let v be y(5). Suppose 2*a - 9*a = -v. Calculate the remainder when a is divided by 12.
9
Let v = 2538 + -2165. Calculate the remainder when v is divided by 104.
61
Let y(z) = z**2 - 68*z - 434. Let d be y(-6). Let c = 1007 - 381. Calculate the remainder when c/d + 14/35 is divided by 33.
30
Let l(a) = -a**2 + 21*a - 70. Let t be 3 - 58/(-5) - 20/(-50). Calculate the remainder when 51 is divided by l(t).
11
Let b be (-9)/(-12) + 34/8. Let d = 119 + -111. Calculate the remainder when d is divided by 91/35 - (-2)/b.
2
Suppose -22*i + 24*i + 3*c = 912, -3*i = c - 1389. Calculate the remainder when i is divided by 104.
49
Let r = 4160 - 3586. What is the remainder when r is divided by 280?
14
Suppose -254*w + 278*w - 2352 = 0. Calculate the remainder when 365 is divided by w.
71
Let j = -170 + 147. Let z = j + 105. What is the remainder when z is divided by 12?
10
What is the remainder when 7/(-4 - (-825)/209)*-1 is divided by 107?
26
Let w be 10/4*76/95. Suppose -w*u + 36 = 118. Let v = -33 - u. What is the remainder when 12 is divided by v?
4
Let o be (-36)/10 + 4 + 143/5. Suppose -f = d - 7 - 3, 3*f = -4*d + o. Calculate the remainder when 29 is divided by f.
7
Suppose -10*l + 12342 = 11982. Calculate the remainder when 715 is divided by l.
31
Let z(k) = 54*k + 2. Let m be z(5). Suppose -10*v + m = -138. Let s = v + -22. Calculate the remainder when s is divided by 4.
3
Let y(b) = 950*b - 9321. What is the remainder when y(11) is divided by 32?
9
Suppose -3*r - 41 = -2*i, 0*r - 19 = -i + r. Suppose 0 = -4*w + 36 + i. Suppose 3*c + 4 = 5*q, 5*c + 2*q = 2 + 43. What is the remainder when w is divided by c?
6
Suppose 0 = 10*a + 35 - 5. What is the remainder when 11 is divided by (-1)/(a/3) - -5?
5
Suppose -k = r - 100, -2*r + 1634 = -4*k + 2046. Calculate the remainder when 473 is divided by k.
65
Let m be (-5)/((-60)/(-1648)) - 12/18. What is the remainder when 34 is divided by m/(-17) + (-38)/323?
2
Let u(v) = 7*v + 7. Let r be u(-1). Suppose 5*g + k = 539, r = 7*g - 10*g - 4*k + 320. Calculate the remainder when g is divided by 10.
8
Let j be ((-48)/10)/((-6)/20). Let r(k) = 583 - 1086 + k**2 - 16*k + 517. What is the remainder when r(j) is divided by 4?
2
Suppose 15 + 135 = -30*s. Let z(n) = n**2 + n. What is the remainder when 97 is divided by z(s)?
17
Calculate the remainder when (46 - -5)/(6/24) is divided by 22.
6
Let f = -1494 + 1581. What is the remainder when 95 is divided by f?
8
Let i(d) = 52*d**3 - 2*d**2 - 8*d + 11. Suppose -836*t = -842*t + 6. Calculate the remainder when 148 is divided by i(t).
42
Suppose -6 = -2*y - 2*g, 5*y - 8 - 