d by 6?
3
Let c(j) be the second derivative of 1/12*j**4 + 17/2*j**2 + 32*j + 0 + 1/3*j**3. What is the remainder when 59 is divided by c(0)?
8
Suppose -2*m + 200 = 5*a + m, 2*m = -4*a + 162. Suppose -a + 28 = -f. Calculate the remainder when 164 is divided by f.
14
Let v = 85 - 83. Suppose -4 = 2*g + 4*y, 5*y = -g - v*g - 1. Suppose -214 = -g*b + 386. Calculate the remainder when b is divided by 20.
15
Let b(k) = 4*k**3 - 15*k**2 + 30*k + 6. Calculate the remainder when b(6) is divided by 245.
20
Let c = 260 - 222. Suppose n - 5*q = -4, 0 = -2*n + 5*n - 5*q - c. Calculate the remainder when 75 is divided by n.
12
Calculate the remainder when (102 - 99)*18124/6 is divided by 22.
20
Let s = -20 + 104. Suppose -5*i = 3*v - 6*i - s, -3*v + 99 = 4*i. Suppose v*x - 24*x = 35. Calculate the remainder when x is divided by 4.
3
Let m = 60 - 37. Calculate the remainder when (17 - -34) + (-12)/(-8)*6 is divided by m.
14
Let g = -30 - 158. Let c = -102 - g. What is the remainder when c is divided by 18?
14
Let b = -37 + 40. Suppose -3*k + 85 = -5*s, 5*s - b*s - 70 = -4*k. What is the remainder when k is divided by 7?
6
What is the remainder when (60912/(-270) + 62)*(-5 - 0/1) is divided by 7?
6
Let l(s) = 7*s + 3. Suppose 5*v + 5*y = 71 + 644, 3*y - 6 = 0. What is the remainder when v is divided by l(3)?
21
Let c = 34 + -27. Suppose c = 2*v + 3*l, -4*v + v + l = -27. Suppose 0 = -v*p + 259 + 229. Calculate the remainder when p is divided by 31.
30
Let c(r) = -51*r**3 + 91*r**2 + 94*r + 2. What is the remainder when 2/((-2)/(-1)) - -160 is divided by c(-1)?
11
Let j = 33 + -5. Suppose -36*c + 2526 = -6*c + 936. What is the remainder when c is divided by j?
25
Let m = -10386 + 10505. Calculate the remainder when 314 is divided by m.
76
Let b(h) = 2*h**3 + 5*h**2 + 8*h + 21. Let j be b(-6). Calculate the remainder when 94 is divided by ((-1333)/j)/(1/9).
8
Suppose -2*i - 67 = -3*i. Suppose 0 = 4*s + 5*c - 217, -8*s + 241 = -4*s - 3*c. Let n = i - s. Calculate the remainder when 19 is divided by n.
1
Let s(d) = -201*d - 3 - 2*d**2 + 203*d + d**3 + 11*d**2 - 5. Let p(n) = -5*n - 10. Calculate the remainder when s(-6) is divided by p(-8).
28
Suppose 4*m = -4*y + 72, 2078 = -3*y + 3*m + 2126. Suppose -t = 4*o - 13, 2*t - 8 - 13 = -3*o. Calculate the remainder when y is divided by t.
8
Let g(v) = -3*v**2 + 45*v. Let s be g(15). Suppose f - 5*b - 223 = s, 3*f + 3*b - b - 669 = 0. Calculate the remainder when f is divided by 56.
55
Suppose -99*k + 685 - 91 = 0. Calculate the remainder when 1738 is divided by k.
4
Calculate the remainder when (761915/(-154))/((-6)/(48/4)) is divided by 198.
193
Let a = 618 + -600. Suppose 3*p + a = c, 5*p + 30 + 8 = 3*c. Suppose 0*z - 2*z + 12 = 0. Calculate the remainder when c is divided by z.
0
Let q = -19860 - -19864. What is the remainder when 2445 is divided by q?
1
Let i(v) = -13*v + 60. Let p be i(-8). Suppose -4*x + 5*x - 156 = -4*d, p = 4*d - x. Calculate the remainder when 90 is divided by d.
10
Suppose -2*a - 2*a + 4*o + 316 = 0, o - 331 = -4*a. Suppose 3*w - 933 = -4*f, -2*w = -5*f - 361 - 353. Calculate the remainder when w is divided by a.
81
Suppose 0*m = 5*m - l - 233, 2*m + 3*l - 100 = 0. Let x(c) = c**3 + 52*c**2 + 144*c - 111. What is the remainder when m is divided by x(-49)?
11
Let f = 1155 + -1010. Calculate the remainder when 406 is divided by f.
116
Suppose 4*n + 538*d = 534*d + 116076, 2*d = n - 29001. What is the remainder when n is divided by 7?
5
Let g(j) = 3*j - 18. Let f be g(-16). Let u be (-5)/((-20)/(-14))*f. What is the remainder when (-54)/(-15) + -4 - u/(-15) is divided by 4?
3
Let z be ((-624)/40)/((-6)/80). Suppose -p = -2*a + 134 + 71, -z = -2*a + 2*p. Let q = a - 19. Calculate the remainder when q is divided by 21.
19
Let k(g) = -g**3 - 7*g**2 - 7*g - 5. Let f be k(-6). Suppose 0 = -678*r + 669*r + 153. What is the remainder when ((98 - 1) + f)/2 is divided by r?
15
Suppose 2*x = 640 - 232. Suppose -x = -5*y + 196. Calculate the remainder when 81 is divided by y.
1
What is the remainder when 142 is divided by (-5)/((183/(-510) - 0) + 18/60)?
57
Suppose 4*w + 2*n = -0*w - 1470, w - 4*n = -354. Let a = w - -429. Calculate the remainder when a is divided by 59.
4
Suppose -c - 2*o + o - 53 = 0, o - 227 = 4*c. Let m = -46 - c. Suppose -4*g + 3*d + 76 = m, 3*d - 9 = -g. What is the remainder when 42 is divided by g?
12
Let d = -8944 + 8971. What is the remainder when 660 is divided by d?
12
Suppose 35*u - 29*u = 198. Let h = 10 + -5. Suppose -c - 443 + 124 = -h*t, 4*t = 5*c + 272. What is the remainder when t is divided by u?
30
Let w be 11/(-44) + 453/4. Let q = w - 98. Suppose -15*k - 18 = -21*k. What is the remainder when q is divided by k?
0
Let i = 72 + -14. Let l = i + 35. Calculate the remainder when l is divided by 47.
46
Suppose 3*m = 7*s - 2*s - 11084, 2*m - 2196 = -s. What is the remainder when s is divided by 12?
4
Suppose 45*q + 186*q - 4876 - 17762 = 0. What is the remainder when 98 is divided by q?
0
Calculate the remainder when 428 is divided by ((-423)/(-36) - 13)/(2/(-184)).
83
Suppose -12*s + 3*d - 1411 + 12538 = 0, 0 = -2*s + 3*d + 1837. Let c(g) = g + 19. What is the remainder when s is divided by c(0)?
17
Suppose -3*r + 13 = 4. Suppose -3*d + 99 = 5*k, -d + r*d + 12 = k. Calculate the remainder when (-10)/5 - (0 - k) is divided by 6.
4
Suppose 0 = 60*s - 58*s. Suppose -5*x + 4*q + 158 = s, 0 = 3*q - 7*q - 8. Calculate the remainder when (-410)/x*2*3/(-2) is divided by 7.
6
Let r(o) = -60*o + 261. Let p be r(6). Let v be -2*1/((-4)/244). Let x = v + p. What is the remainder when 57 is divided by x?
11
Let a(y) = 3*y**3 - 3*y**2 + y + 1. Let r = 13 - 14. Let x be a(r). What is the remainder when 41 is divided by ((72/10)/4)/(x/(-30))?
5
What is the remainder when 1680 - ((-12)/13)/(22/(-143)) - 6 is divided by 184?
12
Let h(f) = f - 4. Let z be (-10)/(-3)*((-388)/(-20) - 2). Suppose 0 = -3*x - 12, 0 = -2*p - x + z + 20. Calculate the remainder when p is divided by h(7).
2
Let z(o) = 3*o**3 - 20*o**2 + 13*o. Let t be z(8). Suppose -54*x = -51*x - t. Calculate the remainder when x is divided by 61.
59
Suppose 4*q + 0*r - 5*r = 8, 2*r = q - 2. Suppose 48 + 36 = q*n. Calculate the remainder when 121 is divided by n.
37
Suppose -2*b - 6 = -4*b - 3*u, 5*b - 26 = -2*u. Suppose -d = 2*r - r - 125, -3*d = -b. Calculate the remainder when r is divided by 62.
61
Let x(z) = 8*z**2 - 4*z - 8. Let w(b) = 7*b**2 - 4*b - 7. Let l(q) = 7*w(q) - 6*x(q). Let p = 322 + -306. Calculate the remainder when l(8) is divided by p.
15
Suppose -5*u = 2*g - 242, -g + 2*u - 484 = -5*g. Let k = 129 - g. Calculate the remainder when 69 is divided by k.
5
Let a = -227 - -286. Suppose -5*x - a + 219 = 0. Calculate the remainder when 221 is divided by x.
29
Suppose -15*c + 2304 = 10*c - 9*c. What is the remainder when 662 is divided by c?
86
Suppose 1250 - 7013 = -51*p. What is the remainder when p is divided by 20?
13
Suppose -2*h + 4*z = -22, -25 = -2*h + 3*z + 2*z. Suppose -v = 4*v + q - 58, -h*q = -15. What is the remainder when 62 is divided by 25/30*v - (-2)/(-12)?
8
Suppose 0 = -69*j + 72*j - 69. Let z = -62 + 72. Suppose 8*u + z = 114. Calculate the remainder when j is divided by u.
10
Let d = -356 + 378. What is the remainder when 301 is divided by d?
15
Let k = -4175 + 4570. Calculate the remainder when k is divided by 44.
43
Let z(y) = y**2 + 8*y + 51. Suppose -93*c + 77*c = 112. What is the remainder when 348 is divided by z(c)?
40
Let s(a) = -5*a + 29. Let y be s(4). What is the remainder when 29 is divided by -1 - y/((-45)/20) - -8?
7
Suppose 0 = -2*f - 5*p - 1, 0 = f - 2*p - 18 + 5. What is the remainder when 88/9 + 158/711 is divided by f?
3
Suppose -3*l + 2*l = 5*w - 587, -3*w + 3*l + 363 = 0. What is the remainder when w/(((-6)/4)/(15/(-20))) is divided by 16?
11
Let a = 2001 - -2049. What is the remainder when a is divided by 78?
72
Let c = -69495 - -69595. Suppose l = 4*l - 39. Calculate the remainder when c is divided by l.
9
Let j = -388 + 993. Let z be j/5 - (1 - 0). Suppose 6*v - 456 = -z. What is the remainder when v is divided by 19?
18
Let w be (-9 - -9)*(3 - 2). Suppose 0 = -3*i + 3*r + 30, 2*i + 4*r - 12 - 20 = w. What is the remainder when (-4 + 2)*(-114)/4 is divided by i?
9
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