*j - 8132 = -80*j. Calculate the remainder when j is divided by 45.
17
Let x = 3087 - 3083. What is the remainder when x is divided by 1*3 - (-3 - -2)?
0
Let a = -33364 + 33442. Let q = 4 - -16. What is the remainder when a is divided by q?
18
Let x = -646 + 682. What is the remainder when 103 is divided by x?
31
Let v = -479 - -487. Calculate the remainder when 461 is divided by v.
5
Suppose 21*l = 799 - 463. Calculate the remainder when 2524 is divided by l.
12
Suppose -3*p = x + 8, -2 = 2*x + 8. Let g(d) = -2*d**2 + 4*d**2 - 6*d**2 + 3*d**2 + 1 - 4*d**3. What is the remainder when 11 is divided by g(p)?
3
Let n = 13 - 11. Suppose k = 4*m - 44, -4*m = -4*k + n*k - 48. What is the remainder when 1176/16*(-4)/(-6) is divided by m?
9
Let f = 1334 - 1282. What is the remainder when 145 is divided by f?
41
Let i = -1001 + 1017. Calculate the remainder when 37 is divided by i.
5
Suppose 5*b - 2*n - 1164 = 0, b - n = 117 + 117. Calculate the remainder when b is divided by 59.
55
Suppose -5*t = 5*d, 0 = -t - 3*d - 0 - 6. Suppose 0 = t*b + 6*b - 45. Suppose 2*i = -3 + 29. What is the remainder when i is divided by b?
3
Let v = 626 + -598. Calculate the remainder when v is divided by 8.
4
What is the remainder when 234 is divided by (1/((-6)/226))/((-89)/267)?
8
Suppose -1048 = 10*j - 1218. Calculate the remainder when 2665 is divided by j.
13
Let g = 11 + -7. Suppose -8*r = -4*r. Suppose -m - 5*h = 6, -2*m + r*h = 3*h - 16. What is the remainder when m is divided by g?
2
Let y(j) be the third derivative of j**5/60 - j**4/6 + j**3/3 + 21*j**2. Calculate the remainder when y(-6) is divided by 17.
11
Suppose -11*o + 5*s - 674 = -13*o, 0 = 2*o - 5*s - 694. Calculate the remainder when o is divided by 115.
112
Let g(p) = -p**2 + 6. Let q be (-2)/10 - (-2)/10. Calculate the remainder when g(q) is divided by 3.
0
Calculate the remainder when 11 - -525*2/3 is divided by 93.
82
Calculate the remainder when (-876)/73 - (1 + -154) is divided by 12.
9
Let n(r) = r**2 - r - 2. Let u be (-180)/14 + (-1)/7. Let h = 9 + u. Calculate the remainder when 69 is divided by n(h).
15
Let y(p) = p**3 - 40*p**2 - 43*p + 97. What is the remainder when y(41) is divided by 5?
0
Let i = 407 - 322. Suppose 96 = 13*z - 9*z. Calculate the remainder when i is divided by z.
13
Suppose -29*c + 25*c = -20. Suppose y = 5*b - 2*y - 61, -c*b + 51 = 2*y. What is the remainder when 26 is divided by b?
4
Let w = -322 - -441. Calculate the remainder when w is divided by 20.
19
Suppose -809 = -16*i - 297. Calculate the remainder when 221 is divided by i.
29
Calculate the remainder when (-8)/((-160)/12) - (-1311)/15 is divided by 13.
10
What is the remainder when (-58)/(-261) - (-628)/9 is divided by 25?
20
Let i(o) = o**3 - 11*o**2 + 9*o. Let t be i(10). Let u = t - -45. What is the remainder when u is divided by 12?
11
What is the remainder when (-365)/(-2)*5/((-100)/(-8)) is divided by 17?
5
Let b = 3 + -9. Let r = b - -14. Calculate the remainder when 9 is divided by ((-20)/r)/((-2)/4).
4
Suppose -271*i + 273*i = 184. Calculate the remainder when 177 is divided by i.
85
Let o = 18 + -22. Let h = 4 + o. Suppose n - 3*n + 28 = h. Calculate the remainder when 39 is divided by n.
11
Let o(b) = -b**3 - b**2 - 4*b + 87. Calculate the remainder when o(0) is divided by 14.
3
Let m = -37 + 41. Let o = 8 + m. Calculate the remainder when 56 is divided by o.
8
Let u = -339 - -640. What is the remainder when u is divided by 99?
4
Let a be 34/51 - (-472)/(-6). What is the remainder when (-1 - -11)*a/(-4) is divided by 22?
19
Let u = -24 + 122. Suppose 3*y = y + 40. Calculate the remainder when u is divided by y.
18
Let r = 1226 + -1103. Calculate the remainder when r is divided by 20.
3
Suppose 6*g = 5*g + 212. Suppose 0*c = 4*c - g. Calculate the remainder when c is divided by 14.
11
Let i be 14/(-35)*(67 + -2). What is the remainder when ((-39)/i)/((-6)/(-136)) is divided by (-4)/14 - (-256)/14?
16
Let b = -60 - -328. Calculate the remainder when b is divided by 15.
13
Let b = 363 + -308. Calculate the remainder when 327 is divided by b.
52
Let u = -25 - -35. Let z(p) = p**2 + 7*p + 8. Let i be z(-6). Suppose 5 = -5*v - 5, -i*b = -2*v - 60. Calculate the remainder when b is divided by u.
8
Let q(j) = 2*j**3 + 4 - 2 - 3*j + 1 - 2*j**2. Suppose 0 = 183*m - 185*m + 26. Calculate the remainder when m is divided by q(2).
3
Suppose -b + 3*b - 120 = -4*t, -2*t + 64 = 2*b. Suppose 35*y = t*y + 70. What is the remainder when 89 is divided by y?
9
Let f = -20 - -22. Let m = 19 - f. Calculate the remainder when 1/3 - 95/(-3) is divided by m.
15
Let t = -220 + 319. Calculate the remainder when t is divided by 36.
27
Let v = -75 + 101. Suppose -14 - v = -8*s. Calculate the remainder when 18 is divided by s.
3
Suppose -2*b + 5*m = -13 - 3, b - 7 = 2*m. Let n(u) = u. Let h(v) = 8*v - 5. Let y(z) = h(z) - 2*n(z). Calculate the remainder when y(b) is divided by 8.
5
Let h(o) be the second derivative of o**3 - 9*o**2 + 11*o. Calculate the remainder when 11 is divided by h(4).
5
Calculate the remainder when 241 is divided by 30/(-240) + (-481)/(-8).
1
Suppose 0*q = -5*q. Suppose q*s = -s - 34. Calculate the remainder when 6 is divided by s/(-8) - 1/4.
2
Let x be (-228 - 0) + -1 - 0. Suppose -15*o = -410 + 140. What is the remainder when (-4)/(-14) + x/(-7) is divided by o?
15
Suppose -13*u + 20*u - 3801 = 0. Calculate the remainder when u is divided by 68.
67
Let i(x) = x**3 + 7*x**2 + 6*x - 7. Let j be i(-5). Suppose -j*r = -18*r + 40. Calculate the remainder when r is divided by 5.
3
Suppose 3*u + 12*c = 9*c + 15, 0 = 2*u + c - 13. Let s(i) = 1. Let w(k) = k - 10. Let v(g) = -4*s(g) - w(g). What is the remainder when v(-7) is divided by u?
5
Suppose -184*n = -186*n + 574. Calculate the remainder when n is divided by 92.
11
Let v = 9 - 6. Suppose 0*r = r - v. Suppose 0 = -k - 5, -r*s + 2*k + 44 = k. Calculate the remainder when 37 is divided by s.
11
Suppose -3*n + 7 + 35 = 0. Suppose -47*b + b - 668 + 4256 = 0. What is the remainder when b is divided by n?
8
Calculate the remainder when 174 is divided by (968/99)/(8/36).
42
Let j = 1238 + -1227. Suppose -219 = -3*q + 3*t, q + 3*q - 294 = 2*t. What is the remainder when q is divided by j?
8
Suppose -18*q + 19*q = -5*w + 22, 8 = 4*w - 4*q. What is the remainder when 7 is divided by w?
3
Let l be (2 + -1)*(-18)/(-6). Let i be l/(12/(-16)) - -7. Suppose j - 1 = u, -u + 0 + 7 = i*j. Calculate the remainder when 6 is divided by j.
0
Let y(r) = -5*r - 1. Let c = -8 + 7. Calculate the remainder when 9 is divided by y(c).
1
What is the remainder when 69 is divided by 49/(-2)*(-16)/14?
13
Suppose -4*a - 41 - 3 = 4*w, -5 = -5*a. Suppose -5*l = -3*q - 69 - 44, -4*q = -l + 26. What is the remainder when l is divided by 1/(-4) - 147/w?
10
Let s(f) = -12*f - 18. Let w be s(-4). Suppose -2*b + 4*h + w = 0, -4*h + 0*h = b + 15. Calculate the remainder when 43 is divided by b.
3
Let a(t) = t**3 + 8*t**2 + 7*t - 10. Let q be a(-6). Let g be (q/30)/(4/66). Suppose -g = 3*o - 4*o. What is the remainder when 19 is divided by o?
8
Suppose 0*q + 2 = -r + 2*q, -5*q + 3 = -3*r. Suppose -r*c + 37 + 15 = -5*d, -4*d - 50 = c. What is the remainder when (-40)/d - (-2)/(-6) is divided by 1?
0
Suppose -3*j + 2 = -4. Suppose 3*u + 277 = -j. Calculate the remainder when 64 is divided by (-3)/(-2) + u/(-6).
13
Let n(x) = x**3 + 13*x**2 + 27*x + 32. Calculate the remainder when n(-10) is divided by 17.
11
Let o = 50 + 6. Suppose -2*t + 3*i + 64 = 0, 2*t - i - 16 = 44. Calculate the remainder when o is divided by t.
27
Suppose 5*o = 15, 4*h = 3*h - 2*o + 41. Suppose -3*n = -2*m + 2*n - 1, -5*n = 5*m - 15. Let v(p) = 9*p. Calculate the remainder when h is divided by v(m).
17
Let c = 248 + -221. What is the remainder when 44 is divided by c?
17
Let o(w) = -w + 27. What is the remainder when 63 is divided by o(-5)?
31
Calculate the remainder when (-118)/(-6) + 8/(-12) is divided by (21/28 - 1)*-28*1.
5
Calculate the remainder when (-5)/(-10)*-6 + 69 is divided by 14.
10
Let u = -658 + 778. What is the remainder when u is divided by 47?
26
Let y = -30 + 51. Suppose -2*a + y = -297. Calculate the remainder when a is divided by 23.
21
Calculate the remainder when (-8)/(-160)*1308 - (-4)/(-10) is divided b