
Suppose -81*o + 107*o = 0. Suppose -v + k + 203 = o, 3*k - 421 = -2*v + 2*k. Calculate the remainder when v is divided by 14.
12
Calculate the remainder when ((26/(-7))/(-1))/(37 - 265450/7175) is divided by 72.
58
Let k(r) = r**2 + 6*r + 5. Suppose 0 = 134*v - 110*v - 5376. What is the remainder when v is divided by k(-6)?
4
Suppose -84 = 15*r - 12*r. What is the remainder when r/154 - 431/(-11) is divided by 7?
4
Let g = 56 + -44. Let j be (23/3)/((-1)/g). Calculate the remainder when ((-45)/12 - -4)/((-1)/j) is divided by 14.
9
Suppose 4*s = 0, 5*c - 4 = s + 156. Suppose c - 40 = -4*n. Suppose -4*y - 5*q = -81, -2*y + n*q = -3*q - 33. What is the remainder when y is divided by 5?
4
Let f = -4795 + 5038. What is the remainder when 3156 is divided by f?
240
Calculate the remainder when -1 + 17 - 22 - -13008 is divided by 9.
6
Suppose 4*l - 39346 = -2*m, 2*l = m + 6246 + 13441. Calculate the remainder when l is divided by 55.
50
Suppose -6*q + 120 = -2*q. Let d(w) = -12*w**3 - 865*w**2 - 73*w - 24. Calculate the remainder when d(-72) is divided by q.
18
What is the remainder when 2751 is divided by (-2826)/(-18) - 96/8?
141
Let f = 415 - 415. Suppose 12*r - 1886 - 778 = f. What is the remainder when r is divided by 28?
26
Let i(b) = b**3 - 14*b**2 - 17*b + 25. Let q be i(15). Let t = q - -32. What is the remainder when 134 is divided by t?
26
Let s(d) = 22*d - 152. What is the remainder when 90 is divided by s(9)?
44
Calculate the remainder when 19/(-95) + 5022/10 + -4 is divided by 160.
18
Let m be (-6)/(56/176 - (-1)/(-2)). Suppose 1216 = -y + m*y. Let h = -345 - -533. Calculate the remainder when h is divided by y.
36
Suppose 7*h = -2*h + 2709. Suppose -c = 2, 2*c + 105 = -5*z + h. Calculate the remainder when z is divided by 11.
7
Suppose 0 = 23*c - 24*c + 2. Suppose -3*u = 5*o - 1399, 553 = 2*o - 3*u + c*u. Calculate the remainder when o is divided by 40.
38
Let z = -1607 - -1750. What is the remainder when 799 is divided by z?
84
Suppose k + 17 = 11. Let b(m) = -m**3 - 4*m**2 + 13. Suppose -100 = -4*a - 4*s, -2*s - 95 = -5*a + 3*s. What is the remainder when b(k) is divided by a?
19
Let s(y) = 85*y**2 - 31*y + 185. Calculate the remainder when s(12) is divided by 274.
271
Let s be 1*2*9*(-15)/45. Suppose -10 + 60 = 5*x. What is the remainder when x is divided by -1*(-2)/s*-21?
3
Suppose 13*i - 306 = -1151. Suppose o - 94 = -o. Calculate the remainder when o is divided by 75/i + 1 - (-316)/26.
11
Suppose -5*g - 28 = -g. Let k be -10*g/(35/2). Suppose 0 = 5*u + n - 115, -k*u + 23 = -3*u + 5*n. What is the remainder when u is divided by 5?
3
Suppose 21 = 9*g - 24. Calculate the remainder when 52 + (4 - 5) + 7 is divided by g.
3
Let w = -16 - -67. Let d = -983 + 1084. Calculate the remainder when d is divided by w.
50
Let f = -3511 - -4133. What is the remainder when f is divided by 23?
1
Let m = 32 - 32. Suppose m = -5*g + 4*h + 41, -g + 5*g - 12 = -2*h. Calculate the remainder when 23 is divided by g.
3
Suppose 0 = -4*n + 4*s + 4, 4 = 4*n - 4*s + 7*s. Let k be 26/(-91) - 102/(-14). Suppose -k = -2*f - 5. What is the remainder when n is divided by f?
0
Let f(l) = -15*l - 49. Suppose -x = -5*j - 14, 2*j - 11 = -4*x + 111. What is the remainder when x is divided by f(-4)?
7
Let i = 744 + -296. What is the remainder when i is divided by 65?
58
Let d = -294 - -579. Let y = 297 - d. What is the remainder when 94 is divided by y?
10
Suppose 10*l = -1952 + 10023 + 3319. What is the remainder when l is divided by 190?
189
Let q be (1 - (-152)/24)*3/2. Let d(k) = k**2 - 6*k - 25. Suppose 87 - 29 = b. What is the remainder when b is divided by d(q)?
28
Let o(f) = -17*f - f**2 - 1 - 1 + 6 + f + 4. Suppose 4*c = -5*s - 64, -6*s = -3*c - 2*s - 48. What is the remainder when 27 is divided by o(c)?
3
Let q(x) be the first derivative of x**4/4 + 8*x**3/3 - 3*x**2/2 + 43*x + 4. What is the remainder when q(-8) is divided by 37?
30
Suppose 198 + 258 = 57*h. What is the remainder when 19 - (2 + -4 - (h - 8)) is divided by 10?
1
Let d(v) = 11*v - 650. What is the remainder when 657 is divided by d(69)?
3
Suppose -y + 0*o = 5*o - 9, -4 = 2*y - o. Let j = 13963 - 16631. What is the remainder when j/(-69) + y/(-3) is divided by 20?
19
Let x(n) = n**3 + 49*n**2 - 101*n + 298. Calculate the remainder when x(-51) is divided by 194.
53
Let m = -17 + 33. Suppose 1011 + 30339 = 15*s. Suppose 10*a - s = -9*a. What is the remainder when a is divided by m?
14
Let r = -9208 + 12658. Calculate the remainder when r is divided by 36.
30
Suppose -3*g = -12 - 6. Suppose 0*a + g*a = -78. Calculate the remainder when 22 is divided by (-790)/(-65) - (37/a - -3).
10
Let r = -54 + 57. Suppose -2*m = 4*g - 78, r*m - 61 = -4*g + 58. What is the remainder when m is divided by 7?
6
Suppose -32*x = -24*x - 512. What is the remainder when 100 is divided by x?
36
Suppose 0 = z - 3*l - 38, 24*l - 54 = -z + 23*l. Let b = -13 + z. What is the remainder when (-1 + 0)*(-2 - 71) is divided by b?
36
Let j(d) = d**2 - 25*d - 15*d + 8 + 86*d - 30*d. Let r be j(-6). Let c = -18 - r. What is the remainder when 100 is divided by c?
32
Let c be (-155 + -46)*10/(-6). Suppose -u - c = -383. Suppose -324 + 133 = -v. Calculate the remainder when v is divided by u.
47
Let o(f) = 178*f - 2551. What is the remainder when o(19) is divided by 389?
53
Suppose 0 = 176*s + 84*s - 5720. Let h = 457 + -262. What is the remainder when h is divided by s?
19
Let p = 29 + -27. Let f(g) be the third derivative of 23*g**5/60 - g**4/24 + g**3/6 + 147*g**2. What is the remainder when f(p) is divided by 24?
19
Suppose 4*q = -a + 463, 57*a - 2200 = 52*a + 3*q. Calculate the remainder when a is divided by 45.
38
Suppose -2*q = -2*j + 6 - 102, 3*q - 5*j = 148. Let u = -79 - -116. Suppose -4*v + u = -4*d - 11, 0 = -4*d. Calculate the remainder when q is divided by v.
10
Let m = 321 + 148. Let c = m - 455. What is the remainder when 59 is divided by c?
3
Let y be (17/(-5) - -1)*(-650)/(-26). Calculate the remainder when 99 is divided by ((-10)/(-3))/((-8)/y).
24
What is the remainder when 18905/30 - 1/6 is divided by 101?
24
Suppose -107*o + 28893 = 431. What is the remainder when o is divided by 261?
5
Suppose -5*c = 3*r - 219, 2*r - 2*c - c - 127 = 0. Let j be (-3 + 88/24)/((-1)/42). Let t = 51 + j. Calculate the remainder when r is divided by t.
22
Let v = 48 - 48. Suppose -g - 25 = -v*g. Let m = 10 - g. What is the remainder when m is divided by 19?
16
Suppose 4*h - 300 = -h. Let a = h - 53. Suppose 0*j = -a*j + 154. Calculate the remainder when j is divided by 6.
4
Let d(n) = n**3 + 54*n**2 + 60*n + 98. Let j be d(-53). Calculate the remainder when (((-1296)/63)/(-12))/((-3)/j) is divided by 61.
34
Let k(n) = 2*n**2 + 41*n + 164. Let w be k(-32). Suppose -w = -2*l - 260. Calculate the remainder when l is divided by 82.
74
Suppose 0 = -4*f - 4*d + 301 + 847, 856 = 3*f + 2*d. Calculate the remainder when f is divided by 91.
9
Let s(l) = 7*l**2 + 4*l + 8. Let u be (-8 + 11)*(0 + (-4)/3). Let v be s(u). Let b = -68 + v. Calculate the remainder when 106 is divided by b.
34
Let o = 14 - 6. Let h(a) = -a**2 + 6*a + 18. Let m be h(o). Suppose -w + 127 = 3*j, m*w - 74 = -5*j + 139. Calculate the remainder when j is divided by 21.
20
Let u(i) = -114*i + i**2 + 52*i + 55*i + 39. Calculate the remainder when u(0) is divided by 11.
6
Let o be -2 + -2 + (-382)/2. Let f = o - -229. What is the remainder when 168 is divided by f?
32
Suppose -3*d - 2*g + 33 = -19, -4*g + 88 = 5*d. Suppose d*l = 785 + 543. Let y(h) = -h**2 + 43. What is the remainder when l is divided by y(0)?
40
Suppose -288 = -5*n + j, -n = n - 5*j - 106. What is the remainder when n is divided by 49?
9
Suppose 4*v + i - 548 = 0, 4*v - 161 = 2*i + 375. Suppose v = -18*h + 22*h. What is the remainder when 64 is divided by h?
30
Suppose -26*f - 16852 = -1720. Let m = f + 774. Calculate the remainder when m is divided by 47.
4
Let w(k) = 795*k - 310. What is the remainder when w(1) is divided by 97?
0
Let l be (-2 - 3/(-3)) + (-601)/(-1). Suppose l = 2*y + 8*y. Suppose y = 3*r - 3*s, -4*s - 86 = -5*r - 6*s. Calculate the remainder when r is divided by 8.
2
Let h = 18741 + -18723. Calculate the remainder when 21 is divided by h.
3
Let t be 818/(-14) - 4*3/(-28). Let h = t