- 16 = -b. Suppose 0 = -d + b + 9. Calculate the remainder when d is divided by 11.
10
Suppose 2*d - 970 = -4*j, -3*j + 2*d = -4*j + 235. Suppose 0 = 5*h - 3*x - 297, -5*x + j = 2*h + 2*h. What is the remainder when h is divided by 21?
18
Suppose 4 = a + 4*q, -2*a = -q - 4*q - 8. Suppose -108 = -5*h + 6*y - a*y, 3*y + 32 = h. What is the remainder when 97 is divided by h?
17
Let c be 1/6 - (-130)/12. Suppose c*t - 9*t = 24. Calculate the remainder when t is divided by 8.
4
Suppose 0 = -54*v + 60*v - 84. Calculate the remainder when 82 is divided by v.
12
Suppose 77 = 8*n - 3. Let u(l) = 2*l**2 + 4*l + 2. Let b be u(-2). Calculate the remainder when (b/1)/((-3)/(-27)) is divided by n.
8
Suppose -18 - 2 = 5*f, 0 = 2*l + 5*f + 24. What is the remainder when 13/(l - ((-148)/36 - -2)) is divided by 30?
27
Let w(q) = q**2 - 1. Let s be w(2). Let j(l) = -5*l**2 + 0*l**2 - 5 + 4*l**3 + 3*l - 3*l**s. Calculate the remainder when j(5) is divided by 4.
2
Suppose 3*k = -4*g + 2600, -3*k + g + 2596 = 3*g. Calculate the remainder when k is divided by 51.
48
Suppose -5*c = 2*f - 3, 7*f + c - 19 = 2*f. Suppose -1 + 45 = f*w. What is the remainder when 30 is divided by w?
8
Let o(b) = -b**2 - 7*b + 2. Let u = 498 + -420. Calculate the remainder when u is divided by o(-6).
6
Suppose -23*o = -588 - 1275. Calculate the remainder when 322 is divided by o.
79
Suppose -s + 126 = 5*s. Suppose 0 = -s*y + 17*y + 268. What is the remainder when y is divided by 34?
33
Let w = -285 - -356. What is the remainder when 135 is divided by w?
64
Suppose 40 = 4*c - 72. Let q = -68 - -154. Let m = q + -71. What is the remainder when c is divided by m?
13
Let u be (-2 + 4)*(-243)/(-18). Calculate the remainder when 26 is divided by (-4)/6*(u/(-2) + 3).
5
Suppose b = -3*b + 4. Suppose -46*m + 1581 = 5*m. What is the remainder when m is divided by (b - 1) + 0 + 17?
14
Suppose -3*g = 5*k - 232, -2*k + 93 = -15*g + 16*g. Calculate the remainder when 605 is divided by k.
41
Suppose 11*r + 147 = 60*r. Let a = 0 - -11. What is the remainder when a is divided by r?
2
Let u = -1294 + 2148. What is the remainder when u is divided by 15?
14
Let t(a) be the third derivative of -a**6/24 - a**5/20 + a**4/24 - a**3 + 23*a**2. What is the remainder when t(-3) is divided by 20?
19
Suppose -5*x - 253 + 1105 = 4*m, 0 = m - 2*x - 200. Calculate the remainder when m is divided by 34.
4
Suppose 0 = -a + 5*m + 361, 8 = 109*m - 107*m. What is the remainder when a is divided by 131?
119
Let a(k) = -k**2 + 17*k + 28. Let v = 48 + -31. What is the remainder when a(v) is divided by 12?
4
Suppose 2*v + 27 = 3*j, -2*v + 6*v - 9 = -j. What is the remainder when (-87)/(-2)*(-15 + (13 - -4)) is divided by j?
6
Suppose f + f = 4. Suppose f*c + 2*w - 16 = 0, 4 = -3*w - 2. Calculate the remainder when 58 is divided by c.
8
Let j(y) = y + 7. Calculate the remainder when 68 is divided by j(18).
18
Let j = -27 + 57. Suppose -j = -3*s - 174. Let r = -33 - s. Calculate the remainder when r is divided by 4.
3
Suppose -683*z + 690*z - 3283 = 0. What is the remainder when z is divided by 43?
39
Let p(g) = -22*g**2 + 142*g + 2. Calculate the remainder when p(6) is divided by 20 - (-2 + 2 + -2).
18
Suppose -k - 15*s + 33 = -11*s, -s - 132 = -4*k. Calculate the remainder when 110 is divided by k.
11
Suppose 3*y = 2*b - 15 + 66, 5*b = 0. What is the remainder when 437 is divided by y?
12
Let t = 11 + -7. Let j be (0 - -2) + -32 + 2. Let h = 39 + j. Calculate the remainder when h is divided by t.
3
Suppose -36*j + 32*j = 0, -69 = -3*f - 4*j. Calculate the remainder when 152 is divided by f.
14
Let b = -1495 + 1546. Calculate the remainder when 1272 is divided by b.
48
Let d = 503 - 480. What is the remainder when d is divided by 9?
5
Let p be (-23 - 3)/(2/(-3) - 0). Let l = p - -103. What is the remainder when l is divided by 12?
10
Suppose 28 = 2*z + 5*x, 15 = 3*x + 3. Suppose 4*b + 447 = z*q - b, -3*q + 335 = -4*b. What is the remainder when q is divided by 39?
35
Let s = 96 + 268. Let z be s/3 + (-4)/(-6). Suppose -2*m + 0*m = -z. Calculate the remainder when m is divided by 21.
19
Suppose -241*h + 4167 = -232*h. What is the remainder when h is divided by 52?
47
Let b(f) = -24*f**3 + 245*f**2 - 13*f - 4. What is the remainder when b(10) is divided by 16?
14
Let y = 1802 - 1718. Calculate the remainder when y is divided by 66.
18
Let o = 136 + -79. Suppose -4*k - 26 = -2*f - 0*k, 2*f - 2*k - 28 = 0. Calculate the remainder when o is divided by f.
12
Suppose -69 - 9 = -5*f - 2*p, -34 = -2*f + 2*p. Calculate the remainder when 17 is divided by f.
1
Let j be (-1)/(-4) - (-935)/(-44). Let d = -5 - j. Suppose -14 - d = -5*t. What is the remainder when 21 is divided by t?
3
Suppose -8*i + 4*i = -24. Suppose 14*x - 104 = i*x. Calculate the remainder when -3 + (x - -3 - 4) is divided by 5.
4
Let h be 6/3 + (-2 - -61). Let z = h + -32. What is the remainder when z is divided by 16?
13
Let t = -127 - -140. What is the remainder when 38 is divided by t?
12
Suppose 79*y - 66*y - 1222 = 0. Calculate the remainder when 98 is divided by y.
4
Let q = -3443 - -3448. What is the remainder when 3/(12/(-13))*-4 is divided by q?
3
Suppose -v - 2*v = -4*f - 94, -4*v = -3*f - 137. Calculate the remainder when 75 is divided by v.
37
Suppose 2*b + 3 = 17. Let v(n) = -n**2 + 5*n - 4. Let g be v(4). Suppose 4*c - 63 + b = g. What is the remainder when 25 is divided by c?
11
Suppose 17 = 4*p - 3*k, -3*p = -2*p - 2*k - 8. What is the remainder when 7 is divided by p?
1
Let f be (-8 + 12)/((-2)/(-12)). Let h be ((-11)/1)/(f/72). Let r = 4 - h. What is the remainder when r is divided by 13?
11
Calculate the remainder when (-26)/(29/(-9) - -3) is divided by (-77)/33 - (-4)/(-6) - -43.
37
Let t = -439 + 447. Calculate the remainder when 196 is divided by t.
4
Suppose 121 = 17*q - 100. What is the remainder when q is divided by 10?
3
Let w = 29 + -20. Let p(l) = 3*l**2 - 8*l - 10. Calculate the remainder when p(5) is divided by w.
7
Let j(o) = 4*o + 1. Calculate the remainder when 4/(-2) - (-21 + -19) is divided by j(6).
13
Let y = 118 + -46. Let j(d) = 32*d**2 - 33*d + 16. Calculate the remainder when y is divided by j(1).
12
Suppose -3*i - 29 = -2*i. Let b = 41 + i. Calculate the remainder when b is divided by -1 + 9 + 1/(-1).
5
Let a be (-7 - -5) + (5 - 0). Let y be a + (-2 - 16) - -3. Let t = y + 13. What is the remainder when 2 is divided by t?
0
Let m = -499 + 636. What is the remainder when m is divided by 23?
22
Suppose 15*x = 10*x + 175. Suppose -x - 4 = -3*m. What is the remainder when m is divided by 12?
1
Suppose 0 = -8*l + 197 + 59. Suppose -9*q + 4*q = -400. Suppose l*v - q = 28*v. Calculate the remainder when v is divided by 6.
2
Let s(f) = -f**3 - 2*f**2 - 2*f + 2. Let l be s(-2). Let z be 2/(-7) + (-36)/21. What is the remainder when 6/z*(-28)/l is divided by 5?
4
Let d be -1*6*15/45. Let s(i) = -640*i + 5. Let h be s(d). What is the remainder when h/11 - (-22)/121 is divided by 30?
27
Suppose -6292 = -4*y - 9*y. What is the remainder when y is divided by 54?
52
Let k(t) = -t + 3. Let p be k(6). Let o(u) be the second derivative of -5*u**3/6 - u**2 + 2*u. What is the remainder when o(p) is divided by 5?
3
Suppose -44 + 0 = -4*v - 2*t, t = 4. Let p(f) = -f**2 + 4*f - 2. Let h be p(3). Suppose -h = 4*i - 17. What is the remainder when v is divided by i?
1
Let q(h) = h**2 + 8*h. Let f be 2*2/(-4)*8. Let t be q(f). Suppose -38 = -5*z + u, -z + t*u + 18 = 5*u. What is the remainder when 15 is divided by z?
7
Let k = 26 - 15. Suppose 2*s = 5*p + 28, -3*p - 24 = -s - 2*s. Suppose -4*q = s, 2*n + 161 = 5*n + q. Calculate the remainder when n is divided by k.
10
What is the remainder when -145*(0 + -5 + 4) + -2 is divided by 29?
27
Suppose -a = -4*a - 15. Let x(c) = -c**2 - 4*c + 8. Let j(h) = h - 1. Let b(z) = -4*j(z) - x(z). What is the remainder when 60 is divided by b(a)?
18
Suppose 2*v = 4*f + 202, 45 = -4*f + 4*v - 159. Let q = 53 + f. Calculate the remainder when 3 is divided by q.
0
Suppose -g + 17 = -12. Suppose 4*s = -5*r + r + 1084, 0 = 2*r + s - 547. Suppose -7*i + r = -326. Calculate the remainder when i is divided by g.
28
Suppose -3*f + 532 = z, 4*f + 2*z - 706 = -0*z. What is the remainder when f is divided by 30?
29
Suppose 0*v + 