 2. Let u = d + y. Calculate the remainder when 12 is divided by u.
5
Let z = -1380 + 1599. What is the remainder when 647 is divided by z?
209
Suppose 0 = t - 27 - 97. Let w = -6 + 15. Suppose -4*c + w = -47. What is the remainder when t is divided by c?
12
Calculate the remainder when ((-215)/10 + 3)/((-3)/54) is divided by 42.
39
Let i(j) = j**3 - 11*j**2 + 4*j - 11. Let p = -45 + 53. Suppose 2*u - 14 = p. Calculate the remainder when 62 is divided by i(u).
29
Let h(a) = -7*a**3 - 7*a**2 - 26*a + 42. Calculate the remainder when h(-8) is divided by 22.
20
Let s(o) = -2*o**2 - 27*o - 30. What is the remainder when (2/1)/(8/724) is divided by s(-4)?
43
Let b(c) = 8*c - 7. Let l be b(3). Suppose -4*h + l - 81 = 0. Let w = h + 90. What is the remainder when w is divided by 15?
14
Let s be 2/(4/19) + (-2)/4. Let a(k) = -k**3 + 9*k**2 - 3*k + 45. Calculate the remainder when 50 is divided by a(s).
14
Let f(x) = -2*x**3 - 2*x**2 - 105*x - 103. Calculate the remainder when 42 - (-2 - (-15)/3) is divided by f(-1).
1
Suppose -2*w = -2*i + 52, -4*w + 72 = -5*i + 206. Calculate the remainder when i is divided by (-2)/(1/((-27)/6)).
3
Let d = 497 + -277. Suppose -3*m - k = -330, -m - 3*k = -3*m + d. Suppose -17*v + 64 = -13*v. What is the remainder when m is divided by v?
14
Suppose 45 = -w + 60. Suppose -3*z + 3*o + w = 0, -z - 1 = -5*o - 6. What is the remainder when (-79)/(-9) - 4/(-18) is divided by z?
4
Suppose -5*p + 2*i + 685 = 0, 3*p + 5*i - 624 = -213. Calculate the remainder when p is divided by 131.
6
Let r be ((6/2)/(-1))/(5 - 6). Suppose -r*d + m - 5*m + 127 = 0, 4*m - 164 = -4*d. Let a = -2 - -22. Calculate the remainder when d is divided by a.
17
Let q = 581 + -330. Let j = 451 - q. Calculate the remainder when j is divided by 67.
66
Suppose -4*n + 1 = -11. Suppose -6 = n*r, 5*b + 4*r - 2*r = 246. Calculate the remainder when 24*(b/8 - 4) is divided by 28.
26
Suppose 14*q + 37 = 233. Suppose -k - 1168 = -5*k + 4*s, 3*s = -2*k + 564. Suppose 7*w - k = 4*w. What is the remainder when w is divided by q?
12
Let h = 105 + -16. Let g(r) = r**2 + 13*r + 69. Calculate the remainder when h is divided by g(-4).
23
Let u = 35 - 25. Suppose -2*q = -3*x + 76, 3*x - 20 = -2*x. What is the remainder when 12*(q/12 - -5) is divided by u?
8
Let i = -35 + 87. Let g(p) = 2*p**2 - 26488*p - 79475. What is the remainder when i is divided by g(-3)?
3
Let i = -13877 - -14134. Calculate the remainder when 1296 is divided by i.
11
Calculate the remainder when (((-2)/(-3))/((-42)/(-3486)))/((-6)/(-9)) is divided by 29.
25
Suppose -26*v - 6*v + 41696 = 0. Calculate the remainder when v is divided by 349.
256
Let v(g) = g**3 - 16*g**2 + 11*g - 705. Calculate the remainder when v(21) is divided by 69.
6
Let b(g) = g**3 - 45*g**2 + 49*g - 162. Calculate the remainder when 165 is divided by b(44).
49
Let u(f) = -8*f - 1. Let z be u(-6). Let j(s) = 9*s**2 + 200*s + 97. Let y be j(-22). Let n = y - z. Calculate the remainder when 39 is divided by n.
3
Let y(b) = 97*b + 4. Let v be y(3). Suppose 17*h + 2*h = 12*h. Suppose 5*f - 5*w - v = h, 4*w + 6 - 50 = -f. What is the remainder when f is divided by 15?
11
Suppose 0 = -9*c + 11*c - 3*i - 19, -i = -1. Suppose -12*l = -c*l - f - 223, -4*l + 5*f = -897. Calculate the remainder when l is divided by 14.
8
Let f = -13 + 21. Suppose m + 168 = f*m. Let t = 4 + 3. What is the remainder when m is divided by t?
3
Let x be (1 + (-5)/2)/((-25)/(-150)). Let k(w) = -13*w - 3 + w - 13 - 171*w**2 + 170*w**2. What is the remainder when 19 is divided by k(x)?
8
Suppose 22*a = 18*a + 808. Let j be a*1 + (-8)/(-2). Let p = j - 105. Calculate the remainder when p is divided by 8.
5
Suppose 0 = 4*g + i - 38 - 11, -g = 5*i - 36. Suppose -4*q = g - 51. What is the remainder when (-21)/((6 - (-1595)/(-174)) + (1 - -1)) is divided by q?
8
Let n(z) = -9*z + 526. What is the remainder when n(37) is divided by 100?
93
Let s(w) = -17*w + 42. Let t be s(14). Calculate the remainder when -2 + (2/(-2))/(4/t) is divided by -1 + -1 + 1 + 17.
15
Let m = -263 + 180. Let u = m + 86. Suppose -2*d - 68 = -3*s, -2*d - 2*d - 76 = -u*s. What is the remainder when s is divided by 9?
2
Let p be -1*(0/(-2) + -34)*-5. Let b = 200 + p. What is the remainder when b is divided by 17?
13
Let r(o) = 31*o**3 - 66*o**2 + 133*o**2 - 68*o**2. Let w = -3 - -4. What is the remainder when 83 is divided by r(w)?
23
Let a = -252 - -252. Suppose a = 9*t - 1158 + 285. What is the remainder when t is divided by 33?
31
Suppose j - 5*x = 38, -3*x + 2*x - 214 = -5*j. Let w be -2 - (-2)/((-18)/(-2547)). Let g = 450 - w. Calculate the remainder when g is divided by j.
40
Let a(z) = 694*z - 7899. Calculate the remainder when a(12) is divided by 48.
45
Suppose 6*n + 3623 - 3665 = 0. Suppose 5*d + 3 = 38. What is the remainder when d is divided by n?
0
Let t(c) = -15*c + 12. Let u be t(-14). Suppose -140 - 26 = -3*f + 2*g, -2*g = -4*f + u. Calculate the remainder when 387 is divided by f.
51
Suppose -12 = -2*x - u, -u + 21 - 1 = 3*x. Calculate the remainder when 65 is divided by (x/(-8))/((-2)/48).
17
Let n = 55 - 53. Let i(y) = 27*y - 2. Let o be i(n). Suppose -4*s - 5*a + 40 = s, 5*s = -a + o. Calculate the remainder when 21 is divided by s.
10
What is the remainder when -1*(87944/(-18) + -2 + 34/(-153)) is divided by 11?
4
Let z = 143 - 143. Suppose z = -2*b + 4 + 4. Let s = 9 + 5. What is the remainder when s is divided by b?
2
Suppose 4*s + 1458 - 1894 = -4*g, -5*s + g = -503. Calculate the remainder when 261 is divided by s.
57
Suppose -9*n - 1160 + 3536 = -738. What is the remainder when 420 is divided by n?
74
Let w be (-2)/7 + 10/35. Suppose -8 + 3 = -5*b, y + 5*b = 9. Suppose w = -5*i - 0*x + x + 65, 43 = y*i + x. What is the remainder when 33 is divided by i?
9
Suppose -31030 = -41*l + 3492. What is the remainder when l is divided by 91?
23
Let w(c) = c**3 + 73*c**2 + 73*c + 327. What is the remainder when w(-72) is divided by 12?
3
Let d(f) = 2*f**2 + 8*f - 45. Let x(s) = s**3 + 7*s**2 - 4*s - 5. Let c be (-15)/2*(-20)/(-25). What is the remainder when x(c) is divided by d(4)?
17
Let q(s) = -s**3 + 15. Let j be q(0). What is the remainder when (-7)/(84/(-80))*j is divided by 54?
46
Suppose -4*i + 2 + 14 = 0. Let a = i - -80. What is the remainder when 165 is divided by a?
81
Suppose 6*k - 8*k = n, 0 = 4*k. Suppose -a + n*i + 15 = -4*i, 2*i = -2. Calculate the remainder when a is divided by 1.
0
Suppose -j - 35 = -4*q, -4*q + 2*q + 4*j = -28. Suppose 9 + 263 = q*w. What is the remainder when w is divided by (3/2 + -2)*-10?
4
Suppose 5*n - 13*k + 17*k - 573 = 0, 3*n = -k + 348. Calculate the remainder when 1750 is divided by n.
112
Let l be (-75)/(3*(-4)/24*2). Suppose -60*o + l = -55*o. Calculate the remainder when 43 is divided by o.
13
Let t(w) be the third derivative of w**5/60 - w**4/8 + 19*w**3/6 + 5*w**2. Calculate the remainder when t(11) is divided by 9.
8
Suppose 3*v - 5*v = -5*l - 35, -5*v + 4*l = -79. Let z(n) = n**2 - 14*n - 5. Calculate the remainder when 44 is divided by z(v).
4
Let h = -26 - -38. Let u = 1550 - -583. Suppose 0 = -4*s + 13*s - u. What is the remainder when s is divided by h?
9
Suppose -47008*f + 1880 = -46968*f. What is the remainder when 3234 is divided by f?
38
Suppose -3*m + 4 + 5 = 0. Let r(s) = 2*s**2 - 9. Suppose 0 = -f - 5*l + 6, -3*f - 3*l = 2*f - 140. What is the remainder when f is divided by r(m)?
4
What is the remainder when 1056 is divided by ((4/(-3))/(6/(-324)))/((-2)/(-5))?
156
Calculate the remainder when 414 is divided by (-8 + -19)/(-3) + (8 - 2).
9
Suppose -129 = -5*m - 2*c + 15, 5*m = -4*c + 138. Calculate the remainder when 145 is divided by m.
25
Suppose -45 = q - 4*q. Let r be 19686/(-85) + 17 - 6/(-10). Let a = r - -258. Calculate the remainder when a is divided by q.
14
Let o = 11579 + -11494. Calculate the remainder when 528 is divided by o.
18
Let r = -162 - -489. Let b = -19037 + 19442. Suppose 0 = 3*i - 7*i + c + r, 5*i - 2*c = b. Calculate the remainder when i is divided by 12.
11
Suppose 15*x = -1985 - 715. Let p = -35 - x. Calculate the remainder when p is divided by 19.
12
Suppose 15*f = 316 + 854. Suppose -2*k = 0, -3*y + k = -2*k - 438. What is the remainder when y is divided by f?
68
Let a = 1845 + 532. What i