remainder when j is divided by 63?
47
Suppose 0*w + 1008 = 4*w. Suppose 8*z + 28 = w. Suppose -4*b - z = -88. What is the remainder when b is divided by 9?
6
Let h(p) = 9*p**3 + 2*p**2 - p - 2. Let b be h(-1). Suppose z + 3*z - 3*i - 36 = 0, -4 = -2*z + 5*i. What is the remainder when z is divided by 44/10 + b/20?
0
Suppose z - 196 = -2*w + 4*z, 2*z + 97 = w. Calculate the remainder when w is divided by 39.
23
Suppose -9*b - 200 = -389. Calculate the remainder when 83 is divided by b.
20
Let a(b) = 2*b**3 - 2*b + 3. Let u be a(1). Suppose c + 3*j + 0*j - u = 0, c + 5*j = -7. What is the remainder when c is divided by 8?
2
Calculate the remainder when 158 is divided by (33 - 35)*1/((-2)/20).
18
Suppose 0*t - 180 = -3*t. Suppose 11*q - 6*q = t. What is the remainder when 34 is divided by q?
10
Suppose -455 = -5*d + 3010. What is the remainder when d is divided by 24?
21
Let q = -2417 + 2434. What is the remainder when 260 is divided by q?
5
Suppose -4*p = 5*z - 15, -6*p + 11*p + 15 = 5*z. Suppose z*s - 360 = -9*s. Calculate the remainder when 84 is divided by s.
24
Suppose 468 = 4*h - 5*s - 329, -824 = -4*h - 4*s. What is the remainder when h is divided by 16?
11
Suppose 7*w + 1 - 15 = 0. Calculate the remainder when (-21)/(-15) + w/(-5) - -1 is divided by 1.
0
Let a = -24 + 26. Suppose a*g - 44 = 34. What is the remainder when g is divided by 20?
19
Let u be (-540)/16 + (-1)/4. Let f = u - -24. Let a = 19 + f. Calculate the remainder when 42 is divided by a.
6
Suppose -2*p + 5*p - 42 = 0. Calculate the remainder when 40 is divided by p.
12
Suppose 19*o = 33*o - 448. Calculate the remainder when o is divided by 7.
4
Suppose 5*w + 7 = -8, 2*w - 42 = -4*y. Suppose 0 - y = -3*q. What is the remainder when 19 is divided by q?
3
Let p = -52 + 47. Calculate the remainder when 58 is divided by 18*p*5/(-15).
28
Let x be 2/((0 - 1)/(3 - 4)). Suppose 15 + 31 = x*o. What is the remainder when o is divided by 4?
3
Let x(g) = 4*g - 18. Calculate the remainder when 65 is divided by x(12).
5
Let l(w) = -2*w**3 + w**2 + 2*w + 1. Let i = -13 + 67. Suppose -7*n + n + i = 0. What is the remainder when l(-2) is divided by n?
8
Suppose z = -4*z + 335. What is the remainder when z is divided by 61?
6
Suppose -4*w - w + 77 = 4*p, -55 = -3*w + 2*p. Suppose i - 5 - w = 0. What is the remainder when i is divided by 5?
2
Suppose -5*w = -2*d - 527, 27*w = 23*w + 5*d + 425. What is the remainder when 311 is divided by w?
101
Suppose 4*w = -4, -18*q - 39 = -20*q + 3*w. What is the remainder when 593 is divided by q?
17
Let f = 5 + 18. Suppose -7154 - 6 = -36*p - 4*p. What is the remainder when p is divided by f?
18
Let k = 222 + -158. Let t = k - 49. What is the remainder when t is divided by 3/(-6) + 38/4?
6
Let i = -104 - -177. Suppose 11*b - i + 29 = 0. What is the remainder when 29 is divided by b?
1
Let m(x) = -x**3 + 6*x**2 + 9*x - 23. What is the remainder when m(5) is divided by 20?
7
What is the remainder when 123 is divided by 23/(-92) - 170/(-8)?
18
Suppose 20*v - 19*v = -c + 54, -263 = -5*v + 2*c. Let u be (-3)/2*(-4)/3. Calculate the remainder when v is divided by 2 - (14/(-1) + u).
11
Suppose 1 = -s, -f - 7*s + 3*s - 1 = 0. Calculate the remainder when (-228)/(-18) - (-3 - (-32)/12) is divided by f.
1
Let i(p) = p**3 + 7*p**2 - 3*p - 4. Let z be i(-7). Suppose k - z = 3. What is the remainder when 78 is divided by k?
18
Let h be (2 - -1) + 2 + -7. Let t(f) = -2*f**3 - 2*f**2 + 2*f + 1. Let q be t(h). Let d = 4 + q. Calculate the remainder when d is divided by 6.
3
Suppose -86*w + 65*w + 609 = 0. What is the remainder when w is divided by 11?
7
Suppose r - 3*p - 49 = 0, -2*r + 3*p = -4*r + 53. Suppose 0 = -3*a + 4*f + r, -4*f = 11 + 5. What is the remainder when 8 is divided by a?
2
Let k(d) = -d**3 + 6*d**2 + 8*d - 2. Let y be k(7). Suppose -3*f + 159 = y*o, 3*f - o - 159 = -2*o. What is the remainder when f is divided by 18?
17
Let i = 6 + 2. Suppose i*t - 16 = 4*t. Suppose -4 = -d - o, -3*o + t + 4 = 2*d. Calculate the remainder when 9 is divided by d.
1
Let j = 63 + -3. Suppose 8*g - 56 - 48 = 0. Suppose -g = 3*o - 61. What is the remainder when j is divided by o?
12
Let j(g) = -g**3 - 19*g**2 + 42*g + 3. Let c be j(-21). Calculate the remainder when 65 is divided by c*(36/10 - (-4)/10).
5
Suppose -4*k + 2 = -2*p + 4, 0 = 4*p + 4*k - 40. What is the remainder when 104 is divided by p?
6
Let l be -1 + -23 - (1 + -1). Let f be 711/6*l/(-9). Calculate the remainder when f/12 - (-2)/(-6) is divided by 7.
5
Let m = 2 + 25. Suppose -278 - 70 = -58*s. What is the remainder when m is divided by s?
3
Suppose -b - 15 = -2. Let o = 22 + -23. Let r = o - b. What is the remainder when 45 is divided by r?
9
Let w = 2330 + -2293. Let v = -137 + 395. What is the remainder when v is divided by w?
36
Suppose 0 = -5*l + 2*s + 109, -5*l - 3*s + 30 + 94 = 0. Suppose 4*x - 185 = l. Let w = x + -12. What is the remainder when w is divided by 14?
12
Suppose 5*m - m - 56 = 0. Calculate the remainder when (-36)/(-16) - 2 - 789/(-12) is divided by m.
10
Suppose 0 = -o, -2*b - 2*b = 5*o - 44. Calculate the remainder when (-14 - -17) + (51 - 1) is divided by b.
9
Suppose -5*l = -3*r + 468, 3*l = 5*r + 52 - 848. Calculate the remainder when r is divided by 78.
5
Let x(d) = -d**3 + 2*d**2 + 11*d + 1. Calculate the remainder when 89 is divided by x(4).
11
Suppose -5*h - 62 = -w, 2*w - 3*h = 34 + 76. Let z = w + -48. Calculate the remainder when 9 is divided by z.
1
Let j(p) = -7*p - 127. Calculate the remainder when 518 is divided by j(-21).
18
Let v = -7 + 11. Let z = 0 + v. Suppose 0 = 3*s - 3*b + 3, s - 2*b - 14 = -z*b. What is the remainder when 14 is divided by s?
2
Let m(r) = 5*r**3 + 8*r**2 - 22*r + 3. Calculate the remainder when m(3) is divided by 21.
18
Suppose -2*q + 82 = -0*k + 3*k, 4*q - 5*k = 120. Let u be 4/(-26) + 72/(-39). What is the remainder when q is divided by 5 + u + 12 + 3?
17
Let q(k) be the second derivative of -1/6*k**3 + 0 + 6*k + 51/2*k**2. Calculate the remainder when q(0) is divided by 18.
15
Let y = 14 - 15. Let u be (y + 2)*-1*-4. What is the remainder when 53 is divided by u/22 - 1216/(-88)?
11
Suppose 4*j + 28 = 2*k, -2*k - 3*j = 2*k - 56. Suppose -3 = 3*h + 3*r, 2*h - 6 = 3*r + 12. Calculate the remainder when k is divided by (4 - -2)/(h/2).
2
What is the remainder when (1 - 6)*5/((-125)/165) is divided by 10?
3
Suppose 4*c + 2*v - 872 = 0, -13*c = -8*c + 5*v - 1080. Calculate the remainder when 673 is divided by c.
13
Let o = -11 + 32. Let p(g) = g**3 + 25*g**2 + 24*g + 123. What is the remainder when p(-24) is divided by o?
18
Let s(t) = -t**3 - 6*t**2 - 5*t - 3. Let y be s(-5). What is the remainder when 27 is divided by -13 + 21 + (0 - (y + 1))?
7
Let v = 237 + -205. Calculate the remainder when v is divided by 22.
10
Let k(h) = 36*h - 7. Let q be 0/2 + -5 + 7. What is the remainder when k(q) is divided by 34?
31
Let b be (6/(-2) - -2)*1. Calculate the remainder when 17 is divided by -1 - -5 - (-2 - b).
2
Suppose 20 = -2*l + 4*y, -4*l + 2*y = -0*y + 16. Let s = l - -21. Let i(n) = n**2 + 3*n. Calculate the remainder when s is divided by i(-4).
3
Let o(a) = 12*a**3 - a + 6*a**3 - 21*a**3 + 1. What is the remainder when o(-2) is divided by 16?
11
Suppose -73 = 4*a - 249. What is the remainder when (a/(-10))/(132/45 - 3) is divided by 14?
10
Suppose -9*l - 1702 = -298. Let j = 246 + l. What is the remainder when j is divided by 23?
21
Suppose 45 = -0*t + 3*t. Let m(s) = s**2 - 15*s - 4. Let o be m(13). Let g = 34 + o. What is the remainder when t is divided by g?
3
Suppose -9*q + 4*i = -12*q + 83, 4*q + 3*i = 120. What is the remainder when q is divided by 12?
9
Let m be 1/4 - (-38)/8. Suppose r - m*r + 2*o + 458 = 0, -4*r + 470 = 2*o. Suppose -r + 31 = -5*i. Calculate the remainder when i is divided by 6.
5
What is the remainder when 300 - (4 + -10 - 0) is divided by 28?
26
Calculate the remainder when 78 is divided by 24 + (6/(-4))/(15/(-30)).
24
Let y = 2164 + -1683. What is the remainder when y is divided by 7?
5
Suppose -4*r - r - 155 = -5*n, -4*r - 25 = -n. Suppose -o + 20 = 4*d - d, -3*o + 3*d = 0. Suppose o*l = l + 36. What is the remainder when n is divided by l?
6
Let b = -27 + 31. Suppose m + 21 = 2*s + 4*m, -5*m - 9 = -4*s. Calculate th