 remainder when 103 is divided by d?
22
Suppose -16*q + 31*q = 240. Let v be (-7)/(-7) + 0 + 64. Suppose 0 = -5*z + 70 + v. Calculate the remainder when z is divided by q.
11
Let p = 74 + -72. Suppose -p*b - 59 + 71 = 0. Calculate the remainder when 41 is divided by b.
5
Suppose 0 = -4*b + 2*o + 1390, -5*o + 393 + 1060 = 4*b. What is the remainder when b is divided by 50?
2
Suppose -254*x + 108256 = -157793 - 97171. What is the remainder when 4310 is divided by x?
20
Let v = 1738 - 1699. What is the remainder when 894 is divided by v?
36
Let j = -35917 + 50887. What is the remainder when j is divided by 21?
18
Suppose f - 68 = 3*q - 0*q, -3*f + q = -196. Suppose 279 = 9*a - 711 - 171. Calculate the remainder when a is divided by f.
64
What is the remainder when 276*(-68)/(-30) - 3/5 is divided by 615?
10
Let c(t) = 4*t**2 + 303*t - 3273. What is the remainder when c(11) is divided by 8?
0
Calculate the remainder when 295 is divided by (3086/30 - 3) + 62/465.
95
Let x = 70 - 49. Suppose 818*n + 2*y = 815*n + 108, -y = n - 35. Calculate the remainder when n is divided by x.
17
Let q(g) = 937*g - 5839. What is the remainder when q(8) is divided by 331?
2
Suppose -21*n + 16*n = 15. Let l(z) = -2*z**3 - 2*z**2 + 2*z - 2. What is the remainder when 55 is divided by l(n)?
27
Let z(w) = 3*w**2 - 10*w + 2. Let p be z(4). Suppose 0 = -2*k - 4, -p = 2*s - 2*k - 28. What is the remainder when 159 is divided by 1 + -4 - (s + -42)?
31
Suppose 3*m + 2*w - 462 = 0, -5*m + 2*w + 0*w + 754 = 0. Let j(c) = c**2 - 65*c + 891. What is the remainder when m is divided by j(18)?
17
Suppose -i - 571 + 637 = 0. Suppose 3*k - 46 = k. Calculate the remainder when i is divided by k.
20
Suppose -11*f = -16*f + 545. Let y(w) = -5*w - 209. What is the remainder when f is divided by y(-44)?
10
Suppose 27660 = 14*g - 2*o, -355 = g + 5*o - 2341. What is the remainder when g is divided by 30?
26
Suppose -238 - 1219 = -31*m. Let u be (2/(-3))/((-2)/(-3)). Calculate the remainder when m is divided by u*1*(-10 - 0).
7
Let k be (-5306)/(-21) - 6/(-18). Suppose -k*p = -259*p + 840. What is the remainder when p is divided by 8?
4
Let g = -86 + 162. What is the remainder when (10/(-95) + 122/g)*46 is divided by 8?
5
Let h be 3/(-6) + 1797/6. Let f be (-8)/60 + (-192)/(-90). Suppose 0 = 2*x - j - h, -4*j = f*x - 322 + 38. Calculate the remainder when x is divided by 30.
28
Let l = 19 - 12. Suppose 4*c + 3 + 4 = z, 5*z = -c - l. Calculate the remainder when ((-4)/(-8))/(c/(-60)) is divided by 8.
7
Suppose 0 = 21*i - 29*i + 24. Let l(u) = 9 + u**3 + i*u**2 - u**2 - 8*u**2 + u**3. Calculate the remainder when 15 is divided by l(3).
6
Suppose -5*u = 2*b - 39, -u + 0*b + 15 = 4*b. Suppose 0 = 9*c - u*c - 486. What is the remainder when c is divided by 51?
39
Suppose 6*s + 835 = 2029. Let t = -376 - -416. Calculate the remainder when s is divided by t.
39
Suppose -3*z + 8*z = 60. Let r(x) = 7*x + 3. Let b be r(0). Suppose -b*h = -0*h - 15. What is the remainder when z is divided by h?
2
Let f(g) = g + 6. Let z(n) = 20*n - 31. Let r(m) = 13*m - 22. Let k(l) = 8*r(l) - 5*z(l). Calculate the remainder when f(6) is divided by k(7).
5
Suppose d + 4*w = 27, 0 = -5*d - 10*w + 12*w + 157. What is the remainder when 1420 is divided by d?
25
Let u = -2539 + 2611. What is the remainder when 3398 is divided by u?
14
Let f(m) = m**3 + 8*m**2 + 4*m + 10. Let u be f(-9). Let h = 128 + u. Calculate the remainder when h is divided by 12.
9
Suppose -p = n + p - 275, 4*n - 1067 = 3*p. Calculate the remainder when n is divided by 31.
21
Let x(v) be the first derivative of v**3/3 + 2*v**2 - 3*v - 12. Let b be x(-3). What is the remainder when (b*1)/((-2)/3) is divided by 3?
0
Let x = 44094 - 14229. Calculate the remainder when x is divided by 274.
273
Let m(o) = 149*o + 1368. Calculate the remainder when 423 is divided by m(-9).
18
Suppose -3*b - 2*w + 322 = -0*b, -5*b + w + 515 = 0. Let k(x) = -x - 87. Let l be k(0). Let i = l + b. What is the remainder when i is divided by 4?
1
Suppose 190*j - 66660 = 89*j. Calculate the remainder when j is divided by 27.
12
Suppose -7*h = -5*h - 4. Let t(d) = 8*d - 26*d + 7*d + 18 - h*d**3 + 3*d**3 + 10*d**2. What is the remainder when 69 is divided by t(-11)?
15
Let g = 6488 - 4296. Calculate the remainder when g is divided by 17.
16
Let a = -7 + 9. Suppose 4*d + a = 10. Suppose -2*p + 5*n + 78 = 0, -d*n - 142 = -5*p + 11. Calculate the remainder when p is divided by 16.
13
Suppose -3*i = -39 + 354. Let b = 136 + i. Calculate the remainder when b is divided by 2*1*(-33)/(-6).
9
Let a = -353 - -575. Calculate the remainder when a is divided by 26.
14
Let y(i) = 66*i**2 + 15*i - 14. Let a be y(1). Let u = a - -15. What is the remainder when u is divided by 20?
2
Let s = -55282 - -55307. Let j = 107 - 21. Let y = j - 13. Calculate the remainder when y is divided by s.
23
Let v = -16627 - -16747. What is the remainder when v is divided by 119?
1
Suppose -74 = 97*g - 98*g. Let p = 804 + -362. What is the remainder when p is divided by g?
72
Calculate the remainder when 206 is divided by (-1164)/(-14) + -1 - 108/756.
42
Let w = 2726 + -1538. Calculate the remainder when 31 is divided by w/110 - 2/(-10).
9
Let m = 2654 - 2278. Calculate the remainder when m is divided by 123.
7
Suppose 140 = -72*a + 76*a. Suppose 3*p - a = 10. Calculate the remainder when 70 is divided by p.
10
Let c = 62 - 47. Let d = -7 - -71. Suppose d = 2*w - 48. Calculate the remainder when w is divided by c.
11
Suppose 0 = m + 11, -46*m = -o - 3*m + 525. Suppose -5*h + 567 = 4*g, 3*g - 8*g + h + 745 = 0. What is the remainder when g is divided by o?
44
What is the remainder when 2209 is divided by 4600/160 - (-1 + 14/8)?
25
Suppose 479 - 4835 = -18*f. What is the remainder when f is divided by 114?
14
Let s be 3 - ((-4)/(-22) + (-317)/(-11)). Let i = s - -48. What is the remainder when 108 is divided by i?
20
Suppose 2*r = 6*r - 8. Suppose -r*f + 42 = -8. What is the remainder when f is divided by 2*7*(-4 - (-5 + 0))?
11
What is the remainder when 6/4*-4 + 16 + (-636)/(-4) is divided by 22?
15
Suppose o = 91 - 24. Let l = 69 - o. Calculate the remainder when 13 is divided by l - ((-1)/(-1) - 6).
6
Let m = 1029 + -983. What is the remainder when 316 is divided by m?
40
Suppose 5*c - 5*y - 336 = -4*y, -5*c = 4*y - 331. Calculate the remainder when 123 is divided by c.
56
Let z be (2070/150)/((-1)/(-30)). Let d = -409 + z. Calculate the remainder when 18 is divided by d.
3
Let w(v) be the second derivative of 1/12*v**4 + 0 - 7/6*v**3 + 2*v - 9/2*v**2. What is the remainder when w(-4) is divided by 9?
8
Let r(p) = -p**3 - 3*p**2 + 3*p + 6. Let l = -36 - -33. Let u be r(l). Let k(v) = -5*v**3 + 6*v**2 + 7*v. Calculate the remainder when k(u) is divided by 34.
32
Let r = -208 + 215. Suppose -r*d + 161 = 7. Calculate the remainder when 150 is divided by d.
18
Let d(i) = 2*i**3 + 2*i**2 - 43*i + 206. Calculate the remainder when d(7) is divided by 12.
5
What is the remainder when 1301 is divided by 20/16 - (550/(-8) + -16)?
11
Suppose 138 = 5*o + 22*g - 23*g, -3*g = -3*o + 78. Calculate the remainder when 933 is divided by o.
9
Let d(n) be the third derivative of -n**4/24 + 31*n**3/6 - 43*n**2 - 2. Calculate the remainder when d(-2) is divided by 6.
3
Let y(v) = -3 - 18*v + 13 + 35*v - 18*v. What is the remainder when y(-13) is divided by 2?
1
Suppose 4*h - 132 = h + 2*m, 195 = 5*h + 5*m. Let t(i) = -20*i + 36. Let d be t(5). Calculate the remainder when h is divided by 3/2*d/(-6).
10
Suppose -3*y - 977 = -5*v - 395, 0 = 4*y - 24. What is the remainder when 2159 is divided by v?
119
Let t(w) = 1324*w + 653. Calculate the remainder when t(0) is divided by 29.
15
What is the remainder when 1739 is divided by -2 + 13 + 36078/(-105)*-5?
10
Let i(c) = 12*c**2 - 2*c - 2. Let f be (2/4)/((-46)/16 + 3). Suppose 0 + 7 = 2*s - x, -f*x - 16 = -2*s. What is the remainder when i(s) is divided by 27?
15
Let y(i) = 3*i**3 + 4*i**2 + 40*i - 368. What is the remainder when y(13) is divided by 106?
105
Suppose 0 = -5*d - 99 + 574. Suppose 11 + 14 = 5*l, -4*m = l + 283. Let t = d + m. Calculate the remainder when t is divided by 7.
2
Suppose 16*j + 44 = 20*j. Suppose 23 = -3*d - 4. Let s(g) = -g**3 - 9*g**2 - 7*g - 20. Calculate th