
Let w = -1437 - -1627. Calculate the remainder when w is divided by 101.
89
Suppose 22 = p + 5*k, -p - 4 = -2*k + 2. Let z(j) = j**3 + 57 - 3*j - j**2 + 4*j**p - 60. What is the remainder when z(3) is divided by 15?
12
Let x = -30 - -95. Suppose 2*d - d - 378 = 10*u, -774 = -2*d + 2*u. Calculate the remainder when d is divided by x.
63
Suppose -4*s = -4*g + 224, s = -3*s - 3*g - 210. Let r = -33 - s. Calculate the remainder when 79 is divided by r.
16
Calculate the remainder when 2*(5 - -42 - (-7 - -6)) is divided by 23.
4
Suppose -2*v - 4*c - 120 = 2*v, -5*c = -5*v - 100. Let f = 740 + -746. What is the remainder when 45 is divided by 3/f - v/2?
9
Suppose 95 = -2*j - 3*j. Let v = j - -36. What is the remainder when 31 is divided by (-3)/6*v*-2?
14
Suppose 0 = 5*j - 4*i - 150, 0 = 2*j + j - 3*i - 87. What is the remainder when j is divided by 24 - 3/(2 + -5)?
9
Let n = 555 - 532. Calculate the remainder when 126 is divided by n.
11
What is the remainder when (2852/(-115))/(6/(-30)) is divided by 20?
4
Suppose 3*u + 16 = -u, -3*c - 41 = 5*u. Let b(j) = -j**3 + 7*j**2 - 7*j - 1. What is the remainder when b(5) is divided by 11 + (1/c - (-80)/(-28))?
6
Let w be ((-7)/(7/(-16)))/2. Calculate the remainder when -3*w/6 - -57 is divided by 28.
25
Let u be -2*(-21)/(-2) - 3. Calculate the remainder when 46 is divided by (8 + 2)*u/(-10).
22
Suppose 0 = t - 4*n - 18, 3*t - 46 = -2*n - 6. Suppose 4716 + 971 = 121*u. What is the remainder when u is divided by t?
5
Let n(p) = -p**2 - 17*p - 11. Let i be n(-16). Suppose i*x + 2*j = -2*j + 60, 4*j + 84 = 4*x. What is the remainder when x is divided by 9?
7
Suppose 2*t - 4*s - 49 = -7*s, 0 = -5*t - 3*s + 118. Let w = -4 + t. What is the remainder when 37 is divided by w?
18
Suppose 0 = -3*u + 2*u + 67. Suppose -4*m - 3*z - 2 + 1 = 0, -3*m = -2*z - 12. Let p = 15 + m. What is the remainder when u is divided by p?
16
Let q be (-2)/8 - (-4895)/44. Suppose -3*x = -t + 50, -3*t = -0*t + 4*x - q. Calculate the remainder when 119 is divided by t.
37
Let b(l) = -8*l + 15*l + 7 - 2*l - 30. Calculate the remainder when 42 is divided by b(7).
6
Let l be (1/(-1) - -4) + -3. Suppose l*m + 20 = -5*m, 4*h = -3*m + 132. What is the remainder when 178 is divided by h?
34
Suppose 5*z = -0*z - 3*n + 82, -76 = -4*z - 5*n. Let t = 8 - z. Calculate the remainder when t/(-27) + 68/18 is divided by 2.
0
Suppose 224 = 14*u - 392. Calculate the remainder when u is divided by 8.
4
What is the remainder when 54 is divided by -2*2/12 + (-14)/(-6)?
0
Let m(o) = o**3 + 3*o**2 - 9*o - 13. Let s be m(-6). Let f = s + 171. Calculate the remainder when f is divided by 53.
51
Let p(s) = -s**3 + 12*s**2 + 3*s - 16. Let n be p(11). Let r = -91 + n. What is the remainder when 187 is divided by r?
46
Suppose 235 = 2*i + 2*s + 3*s, i - 4*s - 85 = 0. Suppose 0 = 11*f + 4*f - i. What is the remainder when 76 is divided by f?
6
Let b(z) = -2*z**3 + 2*z**2 + z. Let d be b(-1). Let t be d/(2 - (-309)/(-150)). Let f = t - -120. Calculate the remainder when f is divided by 18.
16
Suppose 2*f + 12 = -5*b, 4*b = 4*f - 35 + 3. Suppose -5*z - 9 = -f. What is the remainder when 2*z*26/(-4) is divided by 5?
3
Let j(q) = -q**3 + 11*q**2 + 13*q - 16. Let z be j(12). Let t = z + 15. Let g = -34 + 54. Calculate the remainder when g is divided by t.
9
Let r(u) be the third derivative of -7*u**4/24 - 3*u**3/2 + u**2. What is the remainder when r(-6) is divided by 79/9 + (-2)/(-9)?
6
Let q = -124 - -135. Calculate the remainder when 74 is divided by q.
8
Let d = -7 + 12. What is the remainder when 2/d - (-4 + 1840/(-25)) is divided by 20?
18
Suppose 4*x + 2*q = q - 61, x - 1 = 3*q. Let j = -9 - x. Suppose -z + 3*n + 3 = 0, -5*z - j*n + 22 = -93. Calculate the remainder when 70 is divided by z.
16
Suppose -2*u + 5*u - 33 = 0. Let v = 2331 + -2310. Calculate the remainder when v is divided by u.
10
Let z = -1002 - -1184. Let w = -5 + 42. Calculate the remainder when z is divided by w.
34
Let j = 29 + -24. Let q(v) = -6*v - 5 + j*v - 2*v. Calculate the remainder when 35 is divided by q(-8).
16
Suppose 54*f = 47*f + 105. Calculate the remainder when f is divided by 8.
7
Let p be 3/(-2) + (-165)/6. Let h = -20 - p. What is the remainder when 42 is divided by h?
6
Let g(t) be the third derivative of -t**4/12 + 13*t**3/6 - 18*t**2. What is the remainder when 36 is divided by g(-3)?
17
Let d(q) = -17*q - 132. Let c(k) = -52*k - 396. Let w(m) = -2*c(m) + 7*d(m). Let r = 3 - -9. What is the remainder when w(-11) is divided by r?
9
Calculate the remainder when 10/(-25) + 12/30 + 178 is divided by (-1)/4 + (-605)/(-20).
28
Let q(v) = v**2 - v - 2. Let n be q(-2). Suppose -3*z = -5*g - 15, n*g + 10 = -g + 4*z. What is the remainder when 11 is divided by (g/(-15))/((-1)/(-10))?
3
Suppose -2*j = 4*k - 922 - 88, 750 = 3*k - j. Let t = k - 178. Let x(h) = -4*h + 5. Calculate the remainder when t is divided by x(-5).
23
Suppose 3*s - 220 + 70 = 0. Let k(v) = v**2 - 24*v + 40. Let b be k(21). Let w = b + 36. Calculate the remainder when s is divided by w.
11
Let o = -54 - -57. Suppose o*a - a = 5*f + 53, 5*f - 151 = -4*a. Calculate the remainder when 65 is divided by a.
31
Let d be 4/(-18) + ((-14)/(-63))/1. Suppose j + 3*z - 27 = 0, d = -2*j + z + 64 - 3. Calculate the remainder when 268 is divided by j.
28
Let v(p) = -10*p - 191. Calculate the remainder when v(-34) is divided by 17.
13
Let t(l) = 8*l**2 - 2*l + 1. Suppose 4 - 1 = -3*m. What is the remainder when ((-55)/(-22))/(m/(-22)) is divided by t(2)?
26
Let z = 11 + -1. Let t be z/8*(3 + 1). Suppose 2*u + t*o - 43 = 0, 2*u - 40 = -o - o. Calculate the remainder when u is divided by 7.
5
Let f(c) = 3*c**3 - 3*c**2 + 31*c + 20. What is the remainder when f(5) is divided by 30?
25
Let g be 1*12 - 0/2. Let s = g + 56. Suppose -39*w + 371 + 175 = 0. What is the remainder when s is divided by w?
12
Let p(c) = 18*c**2 - 24*c + 11. What is the remainder when p(-5) is divided by 8?
5
Suppose -3*t = 4*m - 26 - 197, -4*t + m + 329 = 0. Calculate the remainder when t is divided by 12.
9
Let q = -6 + 14. Let g = 369 - 340. What is the remainder when g is divided by q?
5
Suppose -5*j - 9 + 64 = 0. Calculate the remainder when ((-62)/10)/(1*(-3)/15) is divided by j.
9
Let v(l) = -14*l - 10. Let d be v(-5). Suppose -c + d = 4*c. What is the remainder when 59 is divided by c?
11
Suppose -39*b = -9*b - 720. What is the remainder when 598 is divided by b?
22
Let h be 13*(-2)/104*-8. Let r be 47/7 - 4/(-14). Let c = r - h. What is the remainder when c is divided by 4?
1
Let n(j) = -7*j**2 - 65. Let f(h) = -4*h**2 - 33. Let a(i) = 5*f(i) - 3*n(i). What is the remainder when a(0) is divided by (-4)/(-4) + (16 - 0)?
13
Let q(p) be the third derivative of -p**6/40 - p**5/60 + 7*p**4/24 + 3*p**3/2 - 28*p**2. What is the remainder when q(-4) is divided by 16?
13
Let z(h) = h**2 + 6*h - 3. Let x be z(-7). Suppose 12 = 2*a - x*a. Calculate the remainder when (-2)/(a/3) + 17 is divided by 10.
8
Calculate the remainder when 162 is divided by (1 - -1) + 46 + -18.
12
Let h be (-125)/((-3)/(3/1)). Suppose 7*s - 6*s + 45 = 2*z, 5*z - h = 5*s. What is the remainder when 76 is divided by z?
16
Let f = -27 - -31. Suppose 13 = 2*q + 3, f*q = -4*r + 232. Calculate the remainder when r is divided by 18.
17
Let o = -894 - -911. What is the remainder when 351 is divided by o?
11
Let m(g) = -3*g + 2. Suppose 189*y - 224 = 181*y. What is the remainder when y is divided by m(-2)?
4
Let q = -14 + 14. Suppose r - 3*d = 43, 0*r + 2*r + 3*d - 95 = q. Let g(w) = -17*w**3 + w. Calculate the remainder when r is divided by g(-1).
14
Suppose 65 = 3*u + 8. Let h(t) = t**3 + 10*t**2 + 10*t. What is the remainder when h(-4) is divided by u?
18
Suppose -286 = -4*f + 3*f - 3*y, 3*y - 12 = 0. Calculate the remainder when f is divided by 20.
14
Let u = -67 + 99. Suppose -o - 3*o = -u. Let l(s) = -s**3 - 15*s**2 - 16*s + 3. What is the remainder when l(-14) is divided by o?
7
Calculate the remainder when (-852)/(-5)*85/34 is divided by 61.
60
Suppose 2*n = -3*n + 3*f + 43, -5*n = -2*f - 42. Let l be ((-9)/(-6))/(6/n). Suppose 0 = l*o - 20 + 2. Calculate the remainder when 23 is divided by o.
5
Let g(t) = 31*t**2 - 4*t + 3. Let v = -7911 - -7941. What is the remainder when g(2) is divid