 t(c) be the third derivative of c**5/30 - c**4/6 + c**3 + 2*c**2 - 41*c. What is the remainder when t(8) is divided by 35?
32
What is the remainder when 79077/613 + 1/(0 - 1) is divided by 53?
22
Let y be 2/(-6) - (-186)/(-9). Suppose 8*w = -4*q + 3*w + 12, -2*w = q - 6. Let k = q - y. What is the remainder when k is divided by 11?
8
Suppose r + 3*k = 33, 3*k - 137 = -5*r + 88. Suppose -3*f = -9*f + r. What is the remainder when 31 is divided by f?
7
Suppose 2*a + 48 = 3*m + 5*a, 3*a = 5*m - 48. Suppose 3*c = -m + 6. What is the remainder when (-43)/c - 2/(-4) is divided by 8?
6
Let l(t) be the first derivative of t**3/3 + 9*t**2/2 + 28*t + 15. What is the remainder when 97 is divided by l(-8)?
17
Let h be (-5 - 54/(-12))/((-1)/126). Suppose -4*q + 159 = h. Calculate the remainder when q is divided by (2 + 7)*(-2)/(-2).
6
Suppose 4*m - 425 = -5*l, 5*l - 3*m = 617 - 157. Suppose l + 1 = 5*i. Suppose 7*d = 342 + 281. Calculate the remainder when d is divided by i.
17
Let d be 3/(-2) + (-26)/4. Let t be (d/14)/(20/(-70)). Suppose -5*i - 2*s = -222 - 30, -202 = -4*i - t*s. Calculate the remainder when i is divided by 13.
11
Calculate the remainder when 3 - (3 + -1) - (28 - 82) is divided by 41.
14
Let j = 39 + -15. Suppose 2*f + 216 = 4*v + 6*f, 2*v + 5*f = 123. What is the remainder when j is divided by (-21)/v - (-188)/14?
11
Let a = -14 - -16. Let d = a + 6. What is the remainder when 77 is divided by d?
5
Suppose 0*h + 4*h + 16 = 0. Let s = 8 + h. Suppose -s*i = -44 - 208. Calculate the remainder when i is divided by 13.
11
Suppose -15*m = -24*m + 405. Suppose 0 = -9*g + 12*g - 69. What is the remainder when m is divided by g?
22
Let n = 392 + -380. What is the remainder when n is divided by 8?
4
Let t = 563 - 435. Calculate the remainder when t is divided by 65.
63
What is the remainder when 177 is divided by (11284/186)/((-2)/12*-4)?
86
Let j be (45/10)/((-3)/(-24)). Let q = 39 - j. Calculate the remainder when 10 is divided by q.
1
Suppose 2*d + 4*r = 70, -3*d + 57 = 2*r - 36. Suppose -3*k + a = -344, 2*k = 4*a + 403 - 167. What is the remainder when k is divided by d?
27
Suppose -3*y = -0*y + d - 593, -5*d = -10. Calculate the remainder when y is divided by 18.
17
Suppose 4*f - 11 = 5*n, 0 = -3*f + 4*f + 2*n - 6. Suppose -4*p - f*v = -16, 5 = -p + v + 3. Calculate the remainder when 3 is divided by p.
0
Calculate the remainder when -1 + -8 + 1 + 55 is divided by 2.
1
Suppose -226*a + 224*a + 30 = 0. Calculate the remainder when 28 is divided by a.
13
Let d be -3 + (7 + -1 + 1 - 3). Calculate the remainder when 17 is divided by (3 - d)/((-6)/(-27)).
8
Suppose -3*s = -3*p - 6, s - 4*s - 5*p - 10 = 0. Suppose 5*r + 2*c - 225 = s, -205 = -5*r - 0*r + 2*c. Calculate the remainder when 169 is divided by r.
40
Let z(h) = h - 6. Let q be z(5). Let w = q + 6. Suppose -3*c - 3 = 0, -3*u + w*c + 26 = -0*u. What is the remainder when u is divided by 5?
2
Let d(t) = 11*t + 154. Suppose -8*r - 124 = -12*r. Calculate the remainder when d(0) is divided by r.
30
Suppose -10 + 1 = -3*o. Suppose -4*w + 2*w = o*q - 76, 81 = 3*q + 3*w. What is the remainder when 65 is divided by q?
21
Suppose k = -2*s + 29, 5*s + 3*k + 17 = 87. What is the remainder when 1069 is divided by s?
15
Suppose -b = 3*l - 60, b - l - 155 = -b. What is the remainder when b is divided by 27?
21
Let x = 3016 + -1631. What is the remainder when x is divided by 99?
98
What is the remainder when (42/(-4))/(5/((-490)/7)) is divided by 30?
27
Let a = -15 + 15. Suppose -3*o + 230 = 4*p, a = 5*o - 5*p - 301 - 129. Calculate the remainder when o is divided by 21.
19
Suppose -4*r - 26 = -7*r + 4*o, -2*o = 10. Calculate the remainder when 39 is divided by 0 - ((-92)/4 + r).
18
Suppose 4*z - z = 201. Suppose z = 2*q - 81. What is the remainder when q is divided by 0 - 1*(1 - 20)?
17
Let p be -1 + (-136)/(2*-1). Suppose -3*x + 9 = 4*j - 3, 0 = -5*x. Suppose j*i = h + p, 4*i - h + 2 = 92. Calculate the remainder when i is divided by 13.
10
What is the remainder when (80/(-3))/(3/(-9)) is divided by 56/3*(-12)/(-8)?
24
What is the remainder when (-7192)/(-7) + (-9)/(189/(-12)) is divided by 129?
125
Let p(f) = 3*f**2 + 9*f - 8. Let z be p(6). Suppose -1 + z = 9*i. What is the remainder when 67 is divided by i?
16
Calculate the remainder when 69 is divided by -1*364/(-49) + (-4)/(-7).
5
Let n be (-7)/(28/16) + 4. Suppose -g + 14 = -n*g. What is the remainder when 2/10 - 538/(-10) is divided by g?
12
Let o(z) = -2*z**2 - 14*z - 20. Let m be o(-6). Let w = m - -45. What is the remainder when 183 is divided by w?
35
What is the remainder when (-910)/(-5) + 12 + -2 is divided by 91?
10
Let m be (-2 + 1)*18/(-6). Let k(s) = -3 + s + 5 + m*s + s**2 - s. Calculate the remainder when 59 is divided by k(-6).
19
Let q = 143 - 102. Let c = -22 + q. What is the remainder when 53 is divided by c?
15
Let j be (-1 + -2)*52/4. Let m = 16 - j. Let v(q) = 15*q - 1. What is the remainder when m is divided by v(2)?
26
Let i = 33 + 2. Let h = -10 + 10. Suppose -3*c - t + 51 = h, -1 - 8 = -c - 3*t. What is the remainder when i is divided by c?
17
Let x(s) = 210*s**2 + 2*s. What is the remainder when x(-1) is divided by 14?
12
Let r = -91 + 99. Suppose -3*t - r*y = -9*y - 105, 148 = 4*t - 4*y. Calculate the remainder when 168 is divided by t.
32
Suppose -4*x + 3*l = -49, -x + 24 = x - 2*l. Let k be 18/(-5)*(-10)/4. Let i = 59 - k. Calculate the remainder when i is divided by x.
11
Let s be 33/9 + 3/9. Let i(b) = -b**3 + 5*b**2 + 9*b - 1. Let z(u) = u + 1. Let k(h) = i(h) - 5*z(h). What is the remainder when k(s) is divided by 9?
8
Let o(l) be the second derivative of -l**4/12 - l**3/2 - l**2/2 + 9*l. What is the remainder when 3 is divided by o(-2)?
0
Suppose -20*q = 1355 - 3635. Let u = 2 - -21. Calculate the remainder when q is divided by u.
22
Let p be -3 - (-2)/(-6)*6. What is the remainder when 0 + ((-343)/p - (-20)/50) is divided by 14?
13
Let w(d) = -d**2 - 16*d + 20. Let z be w(-17). Suppose -3*m - h = 3*h - 515, -4*m + z*h + 695 = 0. What is the remainder when m is divided by 44?
41
Let q(u) = u**2 + 5*u - 2. Let y = -19 + 21. What is the remainder when 7*(5 - y) + 1 is divided by q(-6)?
2
Let y = -35 + 38. Suppose -y*c + 8*c = 425. Calculate the remainder when c is divided by 29.
27
Suppose 0 = -4*q - 9*a + 4*a + 31, 3*a + 3 = 0. Suppose -m = 4*m - 20. Suppose h + 3 = t, 3*t - t = m*h + 6. What is the remainder when q is divided by t?
0
Suppose 2*h + 4 = 5*m + 40, 3*h + 4*m - 54 = 0. What is the remainder when 78 is divided by 176/h - (-2)/9?
8
Suppose 3206 = -8*h + 12558. What is the remainder when h is divided by 45?
44
Let n(h) = -7*h + 27. Let r be n(6). Calculate the remainder when 24/r*1*-30 is divided by 17.
14
Let t be 6/(-2)*2/(-6). Suppose -l = -11 + t. Calculate the remainder when 27 is divided by l.
7
Suppose 48*k + 45*k = 5394. Calculate the remainder when 115 is divided by k.
57
Let g(b) = -b**2 - 9*b - 33. Let x be g(10). Let m = -148 - x. What is the remainder when m is divided by 6?
3
Calculate the remainder when 220 is divided by 19*(-4 - (-4 + -3)).
49
Let z = -60 + 106. Calculate the remainder when 273 is divided by z.
43
Suppose 16*v = 9*v + 6*v. Calculate the remainder when 6/8 + v + (-375)/(-12) is divided by 11.
10
Suppose g + 12 = 2*g - 5*o, -2*g = 5*o + 6. What is the remainder when 8/(-6)*(g - -463)/(-5) is divided by 21?
19
Let n = 286 + -208. Calculate the remainder when 218 is divided by n.
62
Let d = 194 - 159. Calculate the remainder when d is divided by 10.
5
Let b(x) = -39*x. Let i(s) be the first derivative of -19*s**2/2 - 14. Let c(o) = -6*b(o) + 13*i(o). What is the remainder when c(-1) is divided by 8?
5
Calculate the remainder when 80 is divided by (13 - -1)/(120/18 + -6).
17
Let p(g) = -g**3 + 3*g**2 + 14*g - 6. Calculate the remainder when 62 is divided by p(5).
6
Let g be 96/14*(0 + 7). Let a = g + -18. Calculate the remainder when a is divided by 3.
0
Let f be (18/(-21))/(8/168). Calculate the remainder when 7 is divided by (-8 + -2)*f/45.
3
Suppose -9 + 29 = -4*x, -2*x - 28 = -3*g. Suppose 8*b = 4*b. Suppose -2*d + 4 + 0 = b. Calculate the remainder when g is divided by d.
0
Let u(r) = -2*r + 51. Suppose -3*i - 53 = -2*p, -3*p = -2*i - 5*p - 22. What is the remainde