1283 + 398 = 0. Calculate the remainder when 8967 is divided by w.
12
Suppose 4*c = 1385 - 313. Suppose 0 = -c*r + 274*r - 1518. Calculate the remainder when r is divided by 51.
49
Let w = -13306 - -17049. What is the remainder when w is divided by 39?
38
Let r be (-6)/((0 + -1)*(-5 - -6)). Let c = r - -44. What is the remainder when 18 is divided by 66/(-4)*(-4 - c/(-15))?
7
Suppose 0*a + 615 = 5*a. Let l = -250 - -425. Suppose -7*v = -14*v + l. What is the remainder when a is divided by v?
23
Let v(s) = 6*s**2 + 6*s - 6. Let y be v(-8). Suppose 0*p = -3*p + y. Calculate the remainder when p is divided by (4/(-8))/((-44)/3256).
36
Let v be (-1 - 3)*15/(-12). Suppose 5*k = -3*z - 43, v*z + k = -k - 59. Let q = -4 - z. Calculate the remainder when q is divided by 4.
3
Suppose k = -233 + 260. Suppose 110 = -i + 295. Calculate the remainder when i is divided by k.
23
Suppose -49*r = -24*r - 13475. Suppose -12*b + 360 = -6*b. What is the remainder when r is divided by b?
59
Calculate the remainder when (483/(-46))/(21/(-4312)) is divided by 23.
17
Suppose -341*s = -357*s + 11856. Calculate the remainder when s is divided by 50.
41
Let n = -1492 - -1561. Calculate the remainder when 266 is divided by n.
59
Suppose -4*k + v = -8, k + 5*v - 35 = -4*k. Suppose -m + 16 = k*m. Suppose 3*t = 2*x - 191, m*x + 2 = -3*t + 375. What is the remainder when x is divided by 32?
30
Let c = 413 + -325. What is the remainder when c is divided by 51?
37
Suppose 87*v + 17 = 88*v. Suppose 20*y - v*y = 42. Calculate the remainder when 36 is divided by y.
8
Let l be -9 + 3 + 7 + 1129. Let j = -1117 + l. Calculate the remainder when (-426)/(-4)*(-4)/(-3) is divided by j.
12
Calculate the remainder when (435 + (8 - 14) + (-10)/(-1))/1 is divided by 90.
79
What is the remainder when -70*(-3)/(-2)*12/(-9) is divided by 71?
69
Suppose -2*c - 538 = -4*c. Let m = 60 + -112. Calculate the remainder when c is divided by (2 - m)*(1 - 1 - -1).
53
Calculate the remainder when 439 is divided by 27 - (2/3)/((-63)/378).
5
Let a = 5987 - 5946. What is the remainder when 162 is divided by a?
39
Let q be 0 + (-3)/(-1) + 2 + 11. Let b(i) = i**3 - 15*i**2 - 13*i - 31. Let x be b(q). Suppose 47 - x = 3*s. What is the remainder when 33 is divided by s?
3
What is the remainder when 1849 is divided by -1 - -11 - (-1982 + 158)?
15
Let s(r) = 3*r + 28. Let h be s(-9). Calculate the remainder when 12 is divided by (5 + h)/(2 - 3/2).
0
Let g(d) = 2*d**2 - 109*d + 2515. What is the remainder when g(31) is divided by 3?
2
Suppose 6 = -15*a + 18*a. Calculate the remainder when 26 is divided by (-3)/(-3) + -7 + a - -16.
2
Let s = 6925 - 6906. Calculate the remainder when s is divided by 13.
6
Suppose -121 - 503 = -13*s. Calculate the remainder when s is divided by 16.
0
Calculate the remainder when ((-140)/(-42))/(11/2706) is divided by 103.
99
Let k = -6404 - -6409. What is the remainder when 150 is divided by k?
0
Let v = -5422 - -5451. What is the remainder when v is divided by 23?
6
Suppose 0 = 3*a + 2*z - 1913, -38*a + 36*a - 3*z = -1287. What is the remainder when a is divided by 15?
3
Suppose -38*x = 19*x - 146547. What is the remainder when x is divided by 39?
36
Suppose 2262*j - 15926 = 2258*j - 3*q, 19942 = 5*j - 2*q. What is the remainder when j is divided by 50?
36
Suppose -4*t + 12 = -o, 3*t - 24 = -t - 2*o. Let x(r) be the first derivative of -r**4/4 - r**2/2 + 5*r + 14. Calculate the remainder when x(0) is divided by t.
1
Let d = 56 - 18. Let b = 38 - d. Suppose b*q = 7*q - 49. Calculate the remainder when 26 is divided by q.
5
Suppose -4*p + 0*k = 4*k - 14964, 26*p - k - 97455 = 0. What is the remainder when p is divided by 27?
22
Let i(s) be the second derivative of 145*s**4/12 - 5*s**3/6 - 3*s**2/2 + 8*s + 5. What is the remainder when i(-1) is divided by 10?
7
Let u = -9717 - -9747. Suppose 4 = 3*d - 5. Let i(n) = 11*n**2 - 4*n + 1. What is the remainder when i(d) is divided by u?
28
Let t(n) = -n**2 - 8*n + 13. Suppose -14*l + 398 = -260. Suppose 0 = -2*b + l - 31. What is the remainder when b is divided by t(-9)?
0
Let c(n) = -n**3 + 93*n**2 + 162*n + 4011. Calculate the remainder when c(95) is divided by 35.
21
Let h = 5003 + -4296. What is the remainder when h is divided by 139?
12
Let h = 85 + -83. Let y be (3/h)/((-2)/88*-6). Suppose 0 = v - 4 - y. Calculate the remainder when 42 is divided by v.
12
Let o = 532 - 504. Suppose 216 = 16*x - 14*x. What is the remainder when x is divided by o?
24
Let i = -13200 + 13342. Calculate the remainder when 159 is divided by i.
17
Suppose 3*s = -4*f + 46 - 2, 0 = -5*s + 4*f + 116. Let b be 1*(-3)/((-15)/s). Suppose 0 = b*x - 0*x - 24. Calculate the remainder when 88 is divided by x.
4
Let f(o) = -o**3 - 6*o**2 + 8*o - 114. Let c(n) = 4*n + 2. What is the remainder when f(-9) is divided by c(4)?
3
Let c = -375 - -369. What is the remainder when 29 is divided by 198/27 + c/(-9)?
5
Suppose 6*j + 30 + 0 = 0. Let s be (-55 - (j + 1))/(-1). Suppose 5*l - 44 = s. Calculate the remainder when l is divided by 10.
9
Let f = -213 - -218. Let a(s) = 26*s**2 + 3*s + 4. What is the remainder when a(f) is divided by 61?
59
Let d(y) = 232*y - 1093. What is the remainder when 139 is divided by d(5)?
5
Let z = -3 - -6. Let k be (45/(-90))/((-27)/12 + 2). Suppose -3*i = -2*y + k*i - 6, 0 = z*i - 6. Calculate the remainder when y is divided by 2.
0
Suppose -n = 4*u - 32 - 356, -112 = -u - 4*n. Let r = 965 - 585. Calculate the remainder when r is divided by u.
92
Suppose 3*y - 228 = -219. Suppose 3*s = -y*s + 24. Calculate the remainder when s is divided by 4/(-2) - 12/(-3).
0
Let u = -98 - -365. What is the remainder when u is divided by 54?
51
Suppose -9*d = 55*d + 133*d - 25413. Calculate the remainder when 2695 is divided by d.
115
Let w be (-4 - 30/(-18))*-54. Suppose 3*i - 189 = 4*b, 4*i - 2*i = -2*b + w. What is the remainder when i is divided by 8?
7
Let t = -4863 + 5186. What is the remainder when t is divided by 290?
33
Suppose -6 = -2*y + 4. Suppose -9*j + 23 = y. Suppose 5*z = 4*v - 65, j = z - 1. Calculate the remainder when 76 is divided by v.
16
Suppose 3*q - 393 = x, 5*q + 13*x - 654 = 15*x. What is the remainder when 153 is divided by q?
21
Let y be -2 + ((-3873)/(-6))/((-1)/(-2)). Let n be y/13 - (-6)/(-39). Suppose 4*l - n = 49. What is the remainder when 182 is divided by l?
34
Suppose 2070 = 27*i - 9*i. Suppose 110*n + 2*w + 2590 = i*n, 4*n = w + 2072. Calculate the remainder when n is divided by 65.
63
Let p(m) = 5*m - 13. Let i be p(3). Let n be (-75)/9 + i/(-3). Let x = 16 + n. What is the remainder when x is divided by 3?
1
Let v(w) = 17*w - 15. Let u(t) = t - 1. Let s(f) = -2*u(f) + v(f). Calculate the remainder when 8/20 + -1*(-466)/10 is divided by s(2).
13
Suppose 1822*s + 240 = 1834*s. What is the remainder when 65 is divided by s?
5
Let c be -8 - (-4 + 4 + 4). Let y(s) = s**3 + 13*s**2 + 11*s + 21. What is the remainder when 112 is divided by y(c)?
13
Let t = -10 - -17. Suppose -3*c - 4 = 2, -3*c - 66 = -3*u. Let y = u + 13. What is the remainder when y is divided by t?
5
Suppose 7*w - 664 = 4*w - 5*p, -658 = -3*w - 2*p. Suppose 705 = 5*s - v, 0 = 4*s + 3*v - 346 - w. What is the remainder when s is divided by 27?
6
Suppose -s = s - 88. Suppose 7*z - 1261 = -6*z. Suppose -106*h + z*h = -108. Calculate the remainder when s is divided by h.
8
Let z = -427 - -680. Suppose 4*s = z - 997. What is the remainder when (-3 + 2)/(6/s) is divided by 9?
4
Calculate the remainder when 195 is divided by 47300/875 - (-4)/(-70).
33
Let m = 9860 + -9767. What is the remainder when 1063 is divided by m?
40
Suppose 31*b = -3*j + 36*b + 487, -326 = -2*j + 4*b. Calculate the remainder when j is divided by 44.
27
What is the remainder when (9 - 1001/(-39))*-86*(-9)/24 is divided by 131?
70
Let l(p) = 4 - 2 + 320*p + 326*p - 647*p + 16*p**2. Let k(r) = 2*r - 3. Let x be k(2). Calculate the remainder when 60 is divided by l(x).
9
Suppose -b + d = 0, -3*b + 11 = 4*d - 10. Suppose 5*j + 2*t - 92 = 0, b*j + 0*j - 2*t - 68 = 0. What is the remainder when 53 is divided by j?
13
Suppose 0 = -2*p - 4*p + 12. Suppose 5*a - 6 = k, -a = p - 4. What is the remainder when ((-45)/20)/((-2)/24) is divided by k?
3
What is the remainder when 362 is divided by (-3)