 a(z) = 67*z + 55. Calculate the remainder when 383 is divided by a(0).
53
Let x be 142/9 - 24/(-108). Suppose 4 = m + x. Let a = -10 - m. Calculate the remainder when 6 is divided by a.
0
Suppose -j = -2*t - 27, -3*t - 2*j = -7*j + 30. Let r be (-4)/(-10) + (-144)/t. What is the remainder when (-9 + r)*(-1)/(-1) is divided by 1?
0
Suppose 3*q + 96 - 303 = 0. Let o(w) = -w**3 + 13*w**2 + 15*w - 2. What is the remainder when q is divided by o(14)?
9
Let b be (12*1/(-8))/((-6)/16). Let j be (-382)/(-3) - 2/(-3). Suppose 76 = 2*r + n - 3*n, 0 = -b*r - 2*n + j. What is the remainder when 134 is divided by r?
32
Let h(k) be the third derivative of k**4/3 + 8*k**3/3 - 3*k**2. Let s be h(8). Suppose -6*w + s = -w. Calculate the remainder when 63 is divided by w.
15
Suppose -4*j + j + 36 = 0. Calculate the remainder when 63 is divided by 24/9*99/j.
19
Suppose 0 = -6*m + 4*m - 4*i + 60, -3*m - i + 95 = 0. Let g = 8 - -5. Suppose 5*x = 42 + g. What is the remainder when m is divided by x?
10
Suppose -l - 3*l - 36 = 0. Calculate the remainder when 122 is divided by 117/6 + 0 - l/6.
17
Suppose 36*s = 38*s - 222. What is the remainder when s is divided by 28?
27
Suppose -5282 + 1034 = -24*p. What is the remainder when p is divided by 9?
6
Suppose -o - 4 + 32 = 0. Calculate the remainder when o is divided by 6.
4
Let s be (-4*3/(-8))/((-1)/(-2)). What is the remainder when 25 is divided by s + -4 - -4 - -4?
4
Let t = 699 - 570. Calculate the remainder when t is divided by 38.
15
Let g = -17 - -31. Let z(p) = -p**2 - 22*p + 43. Calculate the remainder when 830/g + (-6)/21 is divided by z(-23).
19
Let h(u) = 3*u**3 + u**2 - 3*u + 1. What is the remainder when 12 is divided by h(1)?
0
Suppose 2*k + 3*c - 40 = 0, 0 = 5*k - 3*k + 5*c - 32. What is the remainder when 128 is divided by k?
24
Let q(t) = -4*t - 16. Let r be q(-5). What is the remainder when (-3 + 9)*2/r - -20 is divided by 12?
11
Suppose -12 + 60 = 3*f. Calculate the remainder when 758/f - 21/56 is divided by 15.
2
Let g(p) = 216*p**3 - 2*p**2 + 3*p. Calculate the remainder when g(1) is divided by 65.
22
Let c = -32 + 57. Suppose -k + 31 - c = 0. Calculate the remainder when 8 is divided by k.
2
Suppose -3 = -4*z - n + 5, -2*z + 4*n - 14 = 0. Calculate the remainder when -7*(0 - 9)*z is divided by 8.
7
Suppose 3*d - 28 = 35. Suppose -l + 3 = 0, -d = -3*u - l - 2*l. Suppose u*j - 80 = -0*j. Calculate the remainder when 39 is divided by j.
19
Suppose 6 = z - 0. What is the remainder when 50*(-2 + 15/z) is divided by 7?
4
Suppose 7*h + 4*l + 195 = 10*h, 320 = 5*h - 5*l. What is the remainder when h is divided by 2?
1
Suppose 3*z = -3*f - 9, 2 - 12 = 2*f. Suppose z = -4*a - 4*v - 10, -4*a + 2*v + 12 = 0. Suppose 18 = m - a. Calculate the remainder when m is divided by 4.
3
Suppose 3*q - 2*z - 135 = 0, -12*q = -7*q - 3*z - 225. Let a = 376 + -198. What is the remainder when a is divided by q?
43
Let p(o) = 3*o**2 + 5*o - 8. Let l be p(-4). Let t = l - 2. Calculate the remainder when 34 is divided by t.
16
Suppose -9*z + 11*z + 55 = 3*d, 5*d - z - 94 = 0. Let w = 4 + 0. Calculate the remainder when d is divided by w.
3
Let b be (-10)/(-15) - 129/(-9). Calculate the remainder when 22 is divided by (-18)/8*(-40)/b.
4
Suppose 31*c - 36*c = -170. Suppose 36*p - c*p = 10. Calculate the remainder when 27 is divided by p.
2
Let y = -264 + 2018. Calculate the remainder when y is divided by 7.
4
Let v(q) = 7*q - 2. Let p be v(1). Suppose 2*u = p*u - 45. Calculate the remainder when u is divided by 8.
7
Let r be (-156)/(-9) - 2/(-3). Let o be -3 + 7 + 15/(-1 - -2). Suppose r*n + 7 = o*n. What is the remainder when 20 is divided by n?
6
Let u(f) = -f**3 + 7*f**2 + 8*f + 9. Let a be u(8). Suppose a*l = 7*l + 14. Calculate the remainder when l is divided by 3.
1
Suppose v - 3*p + 2*p = 118, 340 = 3*v + 4*p. What is the remainder when v is divided by 15?
11
Suppose -2*v - 3*g = -818, -4*v + 14*g = 9*g - 1592. What is the remainder when v is divided by 82?
75
Let f(q) = 11*q + 6. Let g(c) = c**2 + 11*c + 26. Calculate the remainder when f(5) is divided by g(-10).
13
Let i(v) = -v + 6. Let x be i(7). Suppose -140 = 6*y - 16*y. What is the remainder when ((-100)/(-4))/(x + 2) is divided by y?
11
Suppose -29*g + 110 = -19*g. Let u(a) = 3*a**2 - 2*a - 3. What is the remainder when u(-3) is divided by g?
8
Let y = 60 - 11. Let v(t) = t**3 - 7*t**2 - 6*t + 10. Suppose o - 16 = -8. Calculate the remainder when y is divided by v(o).
23
Let x be (-132)/(-15)*(2/4 + 2). Calculate the remainder when 370/x - 10/55*-1 is divided by 5.
2
Let y = 711 + -441. Calculate the remainder when y is divided by 86.
12
Let q(u) = u**3 - 5*u**2 + 5*u. Suppose 13*x + 4 = 14*x. What is the remainder when 5 is divided by q(x)?
1
Suppose -2*p - 17 = -9, -4*p - 156 = -r. Calculate the remainder when r is divided by 48.
44
Let b(z) = z**2 + 2*z - 27. What is the remainder when 24 is divided by b(5)?
0
Suppose 3*w + 19 = 3*i - 2, 0 = 2*i + 2*w + 2. Calculate the remainder when 29 is divided by i.
2
Let b be 4/(1 - (-4 + 4)). Suppose b*r + n = -2*n, 2*r - 5*n = 26. Let m(y) = y**3 - 2*y**2 + 1. Calculate the remainder when m(r) is divided by 3.
1
Suppose -w - 305 - 45 = -5*d, d - 79 = 2*w. What is the remainder when d is divided by 12?
9
Let c = 2 + 7. Suppose c + 119 = -4*w. Let d = w - -54. What is the remainder when d is divided by 13?
9
Let s(o) = -9*o**3 + 3*o**2 + 7*o + 8. Calculate the remainder when s(-3) is divided by 37.
35
Let m(y) = 18*y**2 - 3*y + 11. Calculate the remainder when m(2) is divided by 32/3 - (-4)/(-6).
7
Suppose 3*n + q - 2 = 2, 3*n = -5*q - 16. What is the remainder when 7 is divided by n?
1
Let s = 52 + -18. Suppose 14 = 3*c - s. Calculate the remainder when 77 is divided by c.
13
Suppose 7*k + 536 = -248. What is the remainder when 32/k - (-212)/7 is divided by 16?
14
Suppose 0 = -5*a - a - 90. What is the remainder when 77/5 - (-6)/a is divided by 6?
3
Calculate the remainder when 191 is divided by 5*((-1)/(-5) + (-1496)/(-85)).
13
Let h(d) = -d + 1. Suppose -4*y + 3*z = 13, -5*y - z = z + 22. What is the remainder when h(-9) is divided by 3*(-1)/4*y?
1
What is the remainder when 311 is divided by (-30)/(-45) - 596/(-6)?
11
Calculate the remainder when 147 is divided by -13 + 7 + 8 - -18.
7
Let n = 301 + -279. What is the remainder when n is divided by 13?
9
Suppose 282 = 5*w - 2*b, w = -3*b + b + 66. Suppose -2*h = 6*i - 2*i - w, 3*i - 3*h = 21. Calculate the remainder when 54 is divided by i.
6
Let f = -19 - -15. Let y be 5 + -10 - (f - -1). Calculate the remainder when 0/y + 6 + 37 is divided by 22.
21
Suppose h = 6*h - 35. Let g = h + -4. Suppose -5*l - 360 = -5*t - g*l, t - 64 = 2*l. What is the remainder when t is divided by 19?
17
Let c(l) = l**3 - 10*l**2 + 29*l + 3. What is the remainder when 833 is divided by c(3)?
23
Let a(q) be the second derivative of -q**3/6 - 2*q**2 + 6*q. Let v be a(-3). Let w = v + 12. Calculate the remainder when 53 is divided by w.
9
What is the remainder when 151 is divided by 10/(-4) + 9112/272?
27
Suppose -188 = -9*k + 73. Let a(l) = -2*l - 3. Calculate the remainder when k is divided by a(-9).
14
Let x = 170 + -170. Suppose x*i - 112 = -14*i. What is the remainder when 31 is divided by i?
7
Let l(m) = -m**3 - 10*m**2 + 11*m + 2. Let z be l(-11). Suppose -9*q + z*q + 56 = 0. Calculate the remainder when 39 is divided by q.
7
Calculate the remainder when 25 is divided by 114/36 - 5/30.
1
Suppose -5*l + 20 = 0, -64 = -k - 3*k + l. Calculate the remainder when 64 is divided by k.
13
Let v = -84 - -84. Let o(y) = y**3 - y**2 + 2*y + 38. Calculate the remainder when 187 is divided by o(v).
35
Let l = 16 + -18. Let d = l - -12. What is the remainder when 23 is divided by d?
3
Let p be (12/(-33))/2 + 368/88. Suppose 48 = p*a - 180. Let y = 28 - 13. Calculate the remainder when a is divided by y.
12
What is the remainder when 54 - ((-6)/((-12)/4) - 1) is divided by 4?
1
Let h(g) = 4*g + 4. What is the remainder when 168 is divided by h(10)?
36
Let c be ((-5)/(-20))/((-2)/(-24)). Suppose c*t - 25 = -2*t. What is the remainder when t is divided by 3?
2
Let m(c) = -2*c + 9. Let k be m(8). What is the remainder when (-13)/1*3*-1 is divided by (3 - 5)*(k - 3)?
19
Let p be (-1*3/6)/((-1)/6). S