= -3491 + 3509. What is the remainder when 652 is divided by p?
4
Suppose 0 = 123*z - 122*z + w - 118, 6*z = 2*w + 740. Calculate the remainder when 565 is divided by z.
77
Suppose -2*j = -5*x + 18266, -21*x - 4*j + 10944 = -18*x. Calculate the remainder when x is divided by 13.
12
Let r(u) = u**3 + 5*u**2 - 14*u + 10. Let d = -812 + 805. Calculate the remainder when 238 is divided by r(d).
8
Let x = 37316 - 25473. Calculate the remainder when x is divided by 36.
35
Let v(b) = -b**2 - 6*b - 4. Let f be v(-4). Let z be 6/(-8)*6*f/(-6). Let x(i) = -i**3 + 7*i**2 - 10*i + 3. What is the remainder when 60 is divided by x(z)?
6
Let y(q) = -q**2 - 14*q + 4. Let k be y(-19). Let b = k - -131. Calculate the remainder when 35 is divided by 3/(b/12 + -3).
8
Suppose -4*n + 3*j = j + 226, -5*j = -5*n - 280. Let i = n - -72. Suppose v - 64 = -2*h + 6*v, -h + 34 = -2*v. What is the remainder when h is divided by i?
12
Suppose 5*y - 2*f - 136 = 0, 11*y - 14*y + 4*f + 90 = 0. Let k(h) = h + 5. Let m be k(-6). Let b = m + 8. Calculate the remainder when y is divided by b.
5
Suppose 2*y + 2*t - 12083 = t, 12078 = 2*y + 2*t. What is the remainder when y is divided by 8?
4
Suppose 2*r = 5*q + 745, -r + 36*q = 33*q - 372. Calculate the remainder when 1125 is divided by r.
0
Suppose -2*k - 8*k = 0. Suppose -39*l + 45*l - 924 = k. What is the remainder when l is divided by 45?
19
Let m(w) = -w**3 + 21*w**2 + 9*w - 40. Let d(o) = 9*o**2 - 1. Calculate the remainder when m(21) is divided by d(1).
5
Let c(b) = 8*b**2 - 191*b + 105. Calculate the remainder when 11608 is divided by c(24).
127
Suppose -1624 = 3620*b - 3648*b. Calculate the remainder when 197 is divided by b.
23
Let r(k) = -2*k**2 - 27*k - 25. Let o be r(-10). Suppose -o - 51 = 4*w. What is the remainder when ((-33)/18 - (-4)/8)*w is divided by 11?
10
Let f = -168 + 168. Suppose f = 13*r - 0*r - 377. Suppose -40 = -5*y + y. Calculate the remainder when r is divided by y.
9
Suppose 7*b + 26*b - 38610 = -32*b. What is the remainder when b is divided by 19?
5
Let y(t) = 25*t**2 + 2*t + 2. Let g = 85 - -7. What is the remainder when g is divided by y(-1)?
17
Suppose -557 = -5*x + 2*n, x - 6*n - 19 = 70. Calculate the remainder when x is divided by (-1)/(-2) - 9/(-2).
3
Let b = 529 + -517. Calculate the remainder when 477 is divided by b.
9
Let c be (0 + (-20)/(-8))/((-4)/(-8)). Suppose y - 220 = -4*m - 3*y, 2*y = -c*m + 260. Let l = 55 - m. Calculate the remainder when 18 is divided by l.
3
Let v = 14554 - 14416. Calculate the remainder when 1092 is divided by v.
126
Suppose 219*z + 45 = 357 + 345. Suppose s - 5 = 6. What is the remainder when s is divided by z?
2
Suppose -2*w - 5*g = -216, 222 = -61*w + 63*w + 4*g. What is the remainder when 3704 is divided by w?
14
Suppose 4*y + 7*y - 7*y = 12. What is the remainder when 91 is divided by y?
1
Suppose 2*j + 33 = 747. Suppose 0 = -5*q + 2*q + j. Suppose -57*z = -54*z - 90. Calculate the remainder when q is divided by z.
29
Let x be 6/8 + 7064/(-32). Let c = x + 412. What is the remainder when c is divided by 50?
42
Let p = 173 + -297. Let d = p - -130. Let u(z) = -z**3 + 6*z**2 + 3*z + 8. What is the remainder when u(d) is divided by 6?
2
Suppose 0 = -3*n + 3*x - x + 737, 5*x + 1220 = 5*n. Suppose -25*w + n = -301. Calculate the remainder when 62 is divided by w.
18
Suppose 2*u - 67 + 23 = 0. Let m(s) = 2*s + 170. Let l be m(31). Let n = -226 + l. Calculate the remainder when u is divided by n.
4
Suppose 3533 - 15585 = -46*x. What is the remainder when 262 is divided by x?
0
Let v(h) be the second derivative of 7/6*h**3 + h**2 + 0 + 1/2*h**4 - 1/20*h**5 + h. What is the remainder when 6 is divided by v(7)?
0
Let h = -7 + 14. What is the remainder when h is divided by 11/(((-1100)/(-8))/25)?
1
Suppose 4*y - 5484 = -4*v, -9*v = -y - 7*v + 1386. What is the remainder when y/6 + 1 + (-2)/(-3) is divided by 39?
36
Let k = -277 + 271. What is the remainder when 35 is divided by k/(10 + -4)*-10?
5
Let a = 37 - -55. Let m = a - 87. What is the remainder when 32 is divided by m?
2
Let n(m) = 4*m**3 - 3*m**2 + 3. Let w(u) = u**3 - 8*u**2 + 10*u - 15. Let r be w(7). Suppose -2 = r*x - 20. What is the remainder when n(x) is divided by 22?
18
Suppose 0 = -14*y - 31 - 11. What is the remainder when 38 is divided by (y/(-5))/(7/175)?
8
Let r = -309 - -497. Let s = 877 + -867. What is the remainder when r is divided by s?
8
Let h(p) = -p**3 + 7*p**2 - 5*p - 5. Let l = 138 - 133. Suppose 5*n + 170 = 5*d, 191 = l*d + 5*n - 3*n. Calculate the remainder when d is divided by h(5).
17
Suppose 302*z - 296*z = -1356. Let j = -148 - z. What is the remainder when j is divided by 10?
8
Let x = 34 + -28. Suppose 4*z - 6 = 3*g, 2*g - x - 4 = -2*z. Suppose 4*o = g*s + s + 69, o - 12 = -s. Calculate the remainder when 57 is divided by o.
12
Suppose -3*b - 5*t = -12104, 1232 + 2798 = b + t. Calculate the remainder when b is divided by 192.
183
Suppose 635*h - 127222 + 51657 = 0. Let c(g) = -7*g**3 - g**2 - 3*g - 1. What is the remainder when h is divided by c(-2)?
5
Suppose -2*v + 220 = 3*b, -3*b - 3*v - 32 = -254. Let d = 963 + -463. What is the remainder when d is divided by b?
68
Suppose 0 = -3*a + n + 110 + 114, 3*n + 307 = 4*a. Suppose 2*p - 3*p + 9 = 4*i, -p + 29 = -i. Calculate the remainder when a is divided by p.
23
Suppose -b = b + x - 96, -3*b + 3*x + 135 = 0. Let z be ((-63)/(-18))/(2/(-12)). Let q = z - -37. Calculate the remainder when b is divided by q.
15
Let g = -8 + 67. Suppose 25 = -i - 3*t, -2*t - g = 3*i - t. Let u = 48 + i. What is the remainder when u is divided by 10?
9
Calculate the remainder when 6782 is divided by (3 + 1)/(14 + -19 - (-41)/8).
30
Let s be -2*(5 + (-2313)/(-6)). Let h = -485 - s. What is the remainder when h is divided by 60?
56
Let d(b) = b + 7. What is the remainder when 27482/(-453)*(1 - 10/4) is divided by d(7)?
7
What is the remainder when (-18 - (-5 + -138))*(2 - -5) is divided by 32?
11
Let m(v) = -19*v + 308. Let w be m(16). Suppose -o = -3*n - 56, -o + w*n - 21 = -2*o. Suppose 3*r = -14 + 56. What is the remainder when o is divided by r?
13
Let w(d) = -d**3 + 8*d**2 - 13*d + 12. Let g = 49 + -49. Suppose s - 2*r - 23 = -2*s, 4*s + 2*r - 12 = g. What is the remainder when w(s) is divided by 8?
6
Suppose 5*k + 5*b = 60, -5*b + 12 = -4*k + 6*k. Let x = -27503 + 27527. Calculate the remainder when x is divided by k.
8
Let c be (2916/(-16))/9 + 2/8. Let k be (12/10)/((-6)/c). Suppose 4*r = 4*b - 9*b + 55, 3*b - 49 = -k*r. Calculate the remainder when r is divided by 10.
0
Let q = -87 - -99. Suppose 2*j = -10*g + 11*g - 184, 5*g - 962 = -4*j. Calculate the remainder when g*(25/(-10))/(-5) is divided by q.
11
What is the remainder when 10*(4 + (52 - 10)) is divided by 83?
45
Let c = -416 - -422. Suppose -3*u + 150 = 3*u. Suppose i = 3*l + 4*i - 51, -l + i + u = 0. What is the remainder when l is divided by c?
3
Let u be ((-6)/(-26))/(38/494). Suppose -u*p - 8 = 4, y - 31 = 3*p. What is the remainder when 69 is divided by y?
12
Suppose -2*o - 4*f + 304 = 0, -12*o + 755 = -7*o + 9*f. What is the remainder when 266 is divided by o?
124
Let c(j) = -19 - 50*j - 51 + 9 - 15 - 3. What is the remainder when 92 is divided by c(-2)?
8
Let a be (-448)/(-256)*18*2. Calculate the remainder when (-28518)/a*(-3)/2 is divided by 5.
4
Let y(i) = i**3 - 10*i**2 + 11*i + 8. Suppose -11*u + 966 + 860 = 0. Suppose -329 = u*x - 173*x. Calculate the remainder when x is divided by y(9).
21
Let a = -31917 + 32486. Calculate the remainder when a is divided by 186.
11
Let r(m) = 4*m - 25. Let w = 34 + -25. Let u be 3*(-6)/w - -16. What is the remainder when 122 is divided by r(u)?
29
Calculate the remainder when -4 - ((-63)/(-9) - 392) is divided by 86.
37
Suppose 292 = -0*s + 2*s. Suppose 10*x - s = -26. Let l(k) = k**3 + 7*k**2 - 4*k + 10. Calculate the remainder when l(-7) is divided by x.
2
Calculate the remainder when (-578935)/(-980) - -2*2/16 is divided by 43.
32
Suppose 5*k - 4*t - 153 - 19 = 0, 0 = -5*t - 15. Suppose -u = -8*q + 3*q - k, -2*u + 4*q + 70 = 0. Calculate the remainder when u is divided by 33.
4
What is the remainder when 541 is divided by -8 - (-6*(-4 + 6) + -7)?
2
Suppose 312 = r + r - 4*c, -r = 5*c - 121. Let k(o) = 44*o + 50. Let d be k(7). Le