 remainder when 312 is divided by r?
0
Let b(v) be the third derivative of 13*v**6/120 - v**5/60 + v**4/12 + v**3/6 - v**2. Let m = -4963 + 4999. Calculate the remainder when b(2) is divided by m.
33
Calculate the remainder when (-177688)/399*-1*(-6)/(-4) is divided by 199.
71
Suppose -7370 = -18*s - 62*s + 13*s. What is the remainder when 1746 is divided by s?
96
Let a = -3143 + 3177. Calculate the remainder when 52 is divided by a.
18
Calculate the remainder when (35/14)/((-6)/12) - -575 is divided by 207.
156
Suppose 4*i - 4*x - 1269 = -3*x, 9 = 3*x. Let g = i + -283. What is the remainder when g is divided by 4?
3
Suppose -33 = 33*p - 44*p. Let v(n) = -n**2 - 22*n + 31. What is the remainder when v(-23) is divided by p?
2
Let r(j) = 369*j**3 + 6*j**2 - 9*j + 3. What is the remainder when 1511 is divided by r(1)?
35
Let t = -10 + 19. Suppose 0 = -0*l + 2*l + 2*v - 220, -4*v + 547 = 5*l. Let y = 151 - l. What is the remainder when y is divided by t?
8
Let k(y) = 22*y**2 - 1. Let l be k(1). Suppose -4*i + 1 = -151. What is the remainder when i is divided by l/2*(1 + 1)?
17
Suppose 3*p - 3*q = -p + 246, -4 = 2*q. Let h = -39 - 15. Let u = p + h. What is the remainder when 57 is divided by u?
3
Calculate the remainder when 12/9*5/(-20) - 2216/(-6) is divided by 82.
41
Suppose -5*r = 0, -2*r = 4*z - 3*r - 8. Let g(m) = -12*m + 55. Let u be g(5). What is the remainder when -8*6/(12/u) is divided by z?
0
Suppose -3783*z = -3740*z - 28036. Calculate the remainder when z is divided by 28.
8
Let h(a) = 5 + a + 0*a + 0 + 0. Let t be (-6)/(10/(-25) + (-32)/20). What is the remainder when 30 is divided by h(t)?
6
Let d be 4 - (12/7 - (-2)/7). Suppose 22*z + d*y = 18*z + 102, 5*y - 111 = -4*z. Calculate the remainder when z is divided by 3.
0
Suppose 11*i - i - 3*i - 2618 = 0. Calculate the remainder when i is divided by 36.
14
Let n(b) = 4*b**2 - 37*b + 18. Calculate the remainder when 225 is divided by n(9).
0
Suppose 0 = -6*f + f - c + 3517, 7*c - 2764 = -4*f. Calculate the remainder when f is divided by 48.
33
Let z(h) = 10 + 2 + 16*h - 5 - 15*h. What is the remainder when z(31) is divided by 10?
8
Suppose 2*k - 3014 = -4*f, 2*f - 395 = 5*k + 1130. What is the remainder when f is divided by 40?
35
Let g = 7976 + -7345. Calculate the remainder when 1271 is divided by g.
9
Let z be 2/2*(-4 + 6 + 3). Suppose -3*h - 7*a + 54 = 6, z*h - 118 = a. Calculate the remainder when 182 is divided by h.
21
Let w(y) = 563*y + 2831. What is the remainder when 266 is divided by w(-5)?
10
Suppose 0 = 4*h - 4, -6*c - h - 305 = -15*c. What is the remainder when 1210 is divided by c?
20
Let y = -15289 + 15713. Calculate the remainder when y is divided by 113.
85
Suppose 3*a + 24 = 15*a. What is the remainder when 146/6 - (6 - 140/21) is divided by a?
1
Let q(x) = -2*x**2 + 2*x - 1. Let w be q(1). Let r be (-10)/(-3*(-1)/(-36)). What is the remainder when (r/(-50))/(w/10) is divided by 14?
10
Let k(i) = i**2 - 10*i - 53. Let s be k(14). Suppose 3*h - 249 = -s*t, -17*t + 20*t - 243 = -h. Calculate the remainder when t is divided by 44.
36
Suppose 6*g - 14 = 4*g + 4*f, 8 = 4*g + 2*f. Let t be (g - 3)*(-3)/6. Suppose t = -44*o + 46*o - 34. What is the remainder when 33 is divided by o?
16
Suppose -2*l - 509 = -m + 311, 0 = l + 4*m + 419. Let x = l - -429. What is the remainder when 47 is divided by x?
11
Let t be (-5)/15 + 1/((-3)/(-4)). Suppose -3*k - 3*l + 53 = 2*l, 5*k - 2*l - 78 = 0. What is the remainder when -292*40/(-192) + t/6 is divided by k?
13
Let p be 12/(-16) + (-3638)/(-8). Let b = -177 + p. Calculate the remainder when b is divided by 47.
42
Suppose -24*t = -19*t - 2180. Suppose 9*w - 761 = t. What is the remainder when w is divided by 23?
18
Calculate the remainder when 29 - ((-6)/6 - 0)*(17 - 16) is divided by 28.
2
Let m = 57 + -63. Let s(j) = -j + 2. Let b be s(m). Suppose -i = q - 26, 4*q + 18 + b = i. Calculate the remainder when 48 is divided by i.
22
Let h be (-1)/((-123)/(-31) + -4). Suppose h - 8 = b. What is the remainder when 73 is divided by b/(-46) + (-75)/(-2)?
36
What is the remainder when 331 is divided by (-1558)/(-14) + (4/28)/(13/(-26))?
109
Let x = 2613 - 2539. What is the remainder when 361 is divided by x?
65
Let t(d) = -22*d**3 - 18*d**2 - 75*d - 41. What is the remainder when t(-3) is divided by 164?
124
Suppose 4*d - 1194 = -2*o, -8*o + 12*o - 2416 = -4*d. What is the remainder when o is divided by 41?
37
Suppose -6*v = -18*v + 372. What is the remainder when 150 is divided by v?
26
Suppose 46*x = 23*x + 437. Calculate the remainder when 38 is divided by x.
0
Let w(o) = 20*o**2 - 3*o + 1. Let a = 11 + -5. Suppose -2*d - a = 4*s, 5*d - 2*s = 8 + 1. Calculate the remainder when 67 is divided by w(d).
13
Suppose -1035 + 185 = 21*n - 106*n. What is the remainder when 964 is divided by n?
4
Calculate the remainder when (-280)/910 + (-5545)/(-65) + -1 is divided by (2/(-4))/((-1)/14).
0
Let d = 271 + -257. Suppose 4*n + 4*s = 40, -20 = -3*n - 2*s + 4*s. What is the remainder when 14 + (-7)/(d/4) is divided by n?
4
Let l = 130 + -87. Calculate the remainder when 1212 is divided by l.
8
Let i(t) = -15*t - 2. Let z(q) = -2*q. Let o(h) = -i(h) + 6*z(h). What is the remainder when 71 is divided by o(13)?
30
Let v(a) = a**3 - 19*a**2 + 27*a + 632. Let c = 413 - 97. What is the remainder when c is divided by v(9)?
56
Let h(c) = -10*c + 7. Let m be h(3). Let n = m + 28. Let v(k) = -25*k - 268. Calculate the remainder when v(-11) is divided by n.
2
Let s = 13427 + -13388. What is the remainder when 4478 is divided by s?
32
Let v = 20998 - 20571. Calculate the remainder when v is divided by 64.
43
Let z(q) = 2*q**3 - 9*q**2 + 4*q + 7. What is the remainder when z(5) is divided by ((-66)/(-77) + (-4)/21)*21?
10
What is the remainder when 2/(-14) + 1416/14 is divided by (8 - 32/3)*39/(-4)?
23
Let y be 10/3 - (-20)/(-60). Let s(j) = 2*j**3 + 3*j**2 - 5*j + 5. Calculate the remainder when s(y) is divided by 330/9 - (-1)/3.
34
Suppose -2 = g - 11. Calculate the remainder when 2/(((-12)/(-294))/(7/(343/14))) is divided by g.
5
Let t(n) = 4*n**2 + 151*n + 1435. Calculate the remainder when 53 is divided by t(-21).
25
What is the remainder when (506 - -8) + (-1 - 11) is divided by 6?
4
Calculate the remainder when 35 is divided by (-720)/(-33) + 15/(1980/24).
13
Let q(k) = 12*k**3 + 2*k**2 - 51*k + 150. What is the remainder when q(3) is divided by 75?
39
Suppose -7871 = -345*l + 1789. Let d = 490 + -213. What is the remainder when d is divided by l?
25
Let c = 44 - 23. Suppose -236 + 5279 = 41*j. What is the remainder when j is divided by c?
18
Suppose -8*j + n = -10*j + 55, j - 3*n = 10. Calculate the remainder when 2049 is divided by j.
24
Suppose 0*q - 3*o = 4*q - 267, 5*q - o - 348 = 0. Let n = 98 - 98. Suppose -8 = 4*u, n = -2*p + 5*u - 3*u + 28. Calculate the remainder when q is divided by p.
9
Let v(n) = 3*n**2 - 25*n + 13. Suppose 3*p + b - 28 = 0, -3*p - 3*b = 13 - 43. Calculate the remainder when 117 is divided by v(p).
24
Suppose 1005 = 34*c - 12*c - 2361. Let q(r) = -r**3 + 7*r**2 - 5*r + 1. What is the remainder when c is divided by q(6)?
6
Let a(s) = -s**3 - 14*s**2 + 32*s + 1. Let o be a(-16). Suppose -4*n - 5 = -o, -f - 2*n = -25. Calculate the remainder when 77 is divided by f.
23
Suppose 180 = -i - 14*i. Let t = 44 + -26. What is the remainder when -3*i/(-9) - (1 + -91) is divided by t?
14
Suppose -20 = 3*p - 7*p. Suppose p*f - 41 = 4*b, 2*f - 32 = -2*f + 3*b. Calculate the remainder when 49 is divided by 128/f - (-6)/(-10).
24
Let k = 24 + 6. Let l(z) = -z**2 - 15*z - 34. Suppose 4 + 26 = -3*c. What is the remainder when k is divided by l(c)?
14
Let w = 2840 - 2724. Calculate the remainder when 1253 is divided by w.
93
Suppose -18*m + 624 = 34*m. Suppose m*o - 3894 = 3822. What is the remainder when o is divided by 34?
31
Let s = -31 - -35. Suppose 0 = 2*a - s*y + 48, y + 40 = -3*a + 3. Let q = a + 137. What is the remainder when q is divided by 31?
30
Let k(l) = l**3 - 23*l**2 + 7*l + 14. Let h be k(22). Calculate the remainder when (h/(-20))/(12/120) is divided by 56.
46
Let i(j) = -4*j**2 - 52*j + 9. Let p be i(-13). Suppose 4*q + p*m - 32 = 13*m, -61 = -5*q - 2*m. What is the remainder when 16 is divided by q?
5
Suppose -599 - 94