(k) = k**2 + 3*k + 2. Let u = 49 + -13. Let z be (1 + -2)/(9/u). Calculate the remainder when 22 is divided by n(z).
4
Let d(o) = 8*o**2 - o. Let q be d(1). Suppose 5*n - 2*n = 105. Calculate the remainder when (-2)/q + 745/n is divided by 6.
3
Let f = -1415 - -1424. Calculate the remainder when 1896 is divided by f.
6
Let x(w) = 5*w**2 - 12*w - 85. What is the remainder when 60 is divided by x(6)?
14
Let q(p) be the first derivative of 2*p + 2*p**2 + 4/3*p**3 + 5 + 1/4*p**4. What is the remainder when 5 is divided by q(-2)?
1
Suppose 0 = -5*k - 5*n + 8 - 3, 3*n + 15 = 3*k. Calculate the remainder when 175 is divided by k.
1
Let q = 2586 - 1449. What is the remainder when q is divided by 95?
92
Suppose -5*v + 4*d + 160 = -d, 2*d = -4*v + 152. What is the remainder when 89 is divided by v?
17
Let t = 63 - 113. Let x(u) = 4*u + 5. Let y be x(-8). Let j = y - t. Calculate the remainder when j is divided by 5.
3
Let z(i) = -2*i**3 - 9*i**2 - 18*i - 88. What is the remainder when z(-6) is divided by 42?
2
Let b(z) = z - 2. Let v be b(-1). Let y be (1/v)/(4/12). What is the remainder when y/((14/(-124))/7) is divided by 16?
14
Let p = 535 + -417. Calculate the remainder when p is divided by 11.
8
Let i(t) = 13*t**2 - 5*t - 1. Let a be i(6). Let w = -217 + a. Suppose -3*z - z = -w. Calculate the remainder when z is divided by 7.
6
Let x be (10/3 - 0)*174/145. Let k(a) = a**3 + a**2 - 2*a - 4. What is the remainder when (14/x)/((36/56)/9) is divided by k(3)?
23
Suppose 4*s - 183 = s + 5*d, -s - 5*d = -61. Calculate the remainder when 243 is divided by s.
60
Suppose -2*x + 0*x = -5*q + 34, 0 = -q - 3*x. Let s be -3 + (-16)/((-20)/5). Let l = 22 - s. What is the remainder when l is divided by q?
3
Suppose -5*o = 60 - 190. What is the remainder when o is divided by 9?
8
Let o = -298 - -153. Let a = -67 - o. What is the remainder when a is divided by 27?
24
Let m(z) = 8*z. Suppose -2*j - 130 = -222. Calculate the remainder when j is divided by m(3).
22
Suppose -8*x = -11*x + 12. Suppose -6*i - x = -10*i. What is the remainder when 8 is divided by i?
0
Suppose 141 = 3*d + i, -5*d - 31 = -4*i - 249. What is the remainder when 89 is divided by d?
43
Suppose 0 = -3*p + 11*p - 272. Calculate the remainder when p is divided by 20.
14
Let b(z) = -108*z + 1. Let c be b(-2). Suppose 0*h - 4*h = 2*l - 84, c = 5*l + 3*h. Let q = -20 + l. What is the remainder when q is divided by 13?
11
Suppose -2*x - 3*q = -0*x - 106, 0 = -5*x + q + 299. Suppose 106*r + 60 = 108*r. Calculate the remainder when x is divided by r.
29
Let j(i) = -2*i**3 + 14*i**2 + 2*i - 2. Let n be j(6). Suppose -6*u = -20 - n. What is the remainder when 50 is divided by u?
16
Suppose -18*z - 3*s = -14*z - 143, 2*s = -6. What is the remainder when 80 is divided by z?
4
Suppose u + 26 = 25. What is the remainder when 13 is divided by u*((-3)/1 - 1)?
1
Suppose 0*r + 3*r = 126. Suppose 3*a + 12 = r. What is the remainder when a is divided by 3?
1
What is the remainder when (4/(-10))/((-120)/3300) is divided by 1?
0
Suppose 26 = h - 4*u, 0 = -h + 7*u - 5*u + 32. Calculate the remainder when 379 is divided by h.
37
Let p be 3 + 1 + (-5 - 84). Let o = p + 96. Suppose r - 41 + 3 = 0. What is the remainder when r is divided by o?
5
Suppose -922 = -g - 3*g + 2*x, -5*x = 4*g - 915. Suppose 4*w = 14*w - g. What is the remainder when 91 is divided by w?
22
Let i(g) = -10*g + 2. What is the remainder when 218 is divided by i(-2)?
20
Let l(q) = q - 27. Let h be l(18). Calculate the remainder when 32 is divided by 66/9*h/(-6).
10
Suppose 136*t - 91 = 129*t. What is the remainder when 205 is divided by t?
10
Let b = -89 - -98. Let f = 18 + -25. Let t = f + b. Calculate the remainder when t is divided by 1.
0
Let u(s) = -2*s**3 + 14*s**2 + 8*s + 11. Calculate the remainder when 330 is divided by u(7).
62
Suppose 0 = -v - 3*s + 3, -5*v + 7*s = 6*s - 79. Calculate the remainder when 373 is divided by v.
13
Let p(m) = m + 0 + 5 + 2. Let n(o) = -3*o**3 - 176*o**2 - 117*o - 55. What is the remainder when n(-58) is divided by p(-5)?
1
Suppose 0 = -3*k - 3 + 27. Calculate the remainder when (1 - 3 - 1) + 26 is divided by k.
7
Suppose 8*v = -7*v + 1020. Calculate the remainder when v is divided by 8.
4
Let s = -16 + 13. Let t(i) = i**3 + 5*i**2 + 5*i + 3. Let j be t(s). Suppose 37 = -j*p + 7*p. Calculate the remainder when p is divided by 13.
11
Let y = -40 - -71. Calculate the remainder when y is divided by 20.
11
Let m = -2610 - -2662. Suppose w - 2*z - 29 - 2 = 0, -5*w = z - 133. Calculate the remainder when m is divided by w.
25
Let i be (-426)/(-18) - 3/(-9). Let s = i - 12. Let d(f) = 2*f**2 + 3. What is the remainder when d(-4) is divided by s?
11
Suppose -4*q - l + 192 = -3*q, 5*l = 3*q - 560. Suppose 0 = -3*c + 8*c - q. What is the remainder when c is divided by 13?
12
Let n = -108 - -171. Calculate the remainder when n is divided by 23.
17
Let a(p) = 2*p**3 + 24*p**2 + 51*p - 8. What is the remainder when 141 is divided by a(-9)?
8
Let p(x) = -3*x + 3. Let a be p(-3). Let o be a/9 + (-8)/(-3). Suppose -3*s - 151 = -5*l + 23, -o*s + 153 = 5*l. What is the remainder when l is divided by 12?
9
Suppose -3*b + 51 = -2*b + 3*l, -3*b - 2*l = -139. Suppose -2*u + 8 = -u. Let o = u + 8. What is the remainder when b is divided by o?
13
Suppose 4*y - 3*k - 245 = 578, -2*y + 419 = -3*k. What is the remainder when y is divided by 29?
28
Let y = -848 + 865. Calculate the remainder when 1223 is divided by y.
16
Let b be (-98)/(-34) + 14/119. Suppose -14 = -b*a + c, -3*c + 16 = 2*a - 2*c. Calculate the remainder when (0 - -2)/(-2) - -10 is divided by a.
3
Let w(t) = -92*t - 512. Calculate the remainder when 326 is divided by w(-6).
6
Let t(o) = -o**2 - 8*o + 10. Let f = -3 - 6. Let i be t(f). What is the remainder when 8 is divided by (-1 - (0 + i)) + 5?
2
Suppose -c + 121 = 5*t, -2*t + 3*c + 48 - 3 = 0. What is the remainder when 164 is divided by t?
20
Suppose -2*n + 2*s = 5*s + 296, n + 143 = s. What is the remainder when 14 is divided by n/(-15) - 1/(-3)?
4
Suppose -61*h = -58*h - 66. Let v = -31 + 4. Let w = 39 + v. Calculate the remainder when h is divided by w.
10
Let a(p) = 3*p**2 + 2*p - 4. Let l be a(5). Let k = l + -15. Suppose -195 + k = -3*t. Calculate the remainder when t is divided by 23.
20
Suppose -m + 197 = 3*a, -a - 4*m = -0*m - 84. Let w = -23 + a. Calculate the remainder when 0 + 1 - -24*5 is divided by w.
39
What is the remainder when 31 is divided by 15/((-54)/(-8) + -6)?
11
Suppose -4*g + m = 4 - 1, m + 1 = 2*g. Calculate the remainder when (-9)/(9/81 + 12/(-27)) is divided by (-3 - g) + 5 + 1.
2
Let m = 592 - 482. Calculate the remainder when 436 is divided by m.
106
Suppose 5*i = 3*l + 6, 2*l - 3*i + 8*i + 4 = 0. Calculate the remainder when 96 - (3 + -3 + l) is divided by 20.
18
Let z = -155 + 165. Calculate the remainder when 78 is divided by z.
8
Let n = 7 - -9. Suppose 2*k - 29 = i, -5*k = -2*i - 2*i - 80. Calculate the remainder when 28 is divided by k + 12/(n/4).
13
Let c = 93 + -89. Calculate the remainder when 35 is divided by c.
3
Suppose 16 = r - 86. Suppose 2*d = -0*d - 4*p + 68, 0 = 2*d - 3*p - 40. Calculate the remainder when r is divided by d.
24
Suppose -5251 = -10*o - 2191. Calculate the remainder when o is divided by 44.
42
Suppose -q + 197 = w - 186, 4*q + 2*w - 1542 = 0. Calculate the remainder when q is divided by 37.
18
Suppose 0 = -5*x - 4 - 6. Let g be 2*1/(x + 3). Suppose 0 = -3*n - g*n + 490. Calculate the remainder when n is divided by 33.
32
Let l(x) = -x**3 - 27*x**2 + 55*x - 60. Calculate the remainder when 321 is divided by l(-29).
24
Suppose -3*j = -5*v + 37 + 13, j - 50 = -5*v. Let y(d) = 4*d**2 + 220*d - 919. What is the remainder when y(4) is divided by v?
5
Let s(x) = -x**3 - 6*x**2 - 30*x - 26. What is the remainder when s(-5) is divided by 0 + (-5)/((-15)/102)?
31
Calculate the remainder when 125 is divided by (2 - (-44)/(-16)) + 35/4.
5
Let k(g) = -g**2 - 8*g + 2. Let q be k(-7). Let m = -74 + 80. Calculate the remainder when 8 is divided by -1 + m/(-3) + q.
2
Let n(z) = -2*z**2 - 15*z + 2. Suppose 2*q - 4*c + 20 = -0*c, -39 = 3*q + 3*c. Let p = 48 - q. Calculate the remainder when p is divided by n(-7).
6
Let z(k) = -k**3 - 10*k**2 + 25*k - 49. Calculate the rem