the remainder when 3 is divided by y.
1
Let v(n) = -n**2 + 41*n - 204. Let o = -7 - -10. Suppose -o*g = 3*a - 15, -a + 3*a + 4*g - 12 = 0. Calculate the remainder when v(6) is divided by a.
2
Let r = -187 - -209. What is the remainder when r is divided by 10?
2
Suppose -8*g + 7*g - 9 = 2*o, -5*g - 39 = 4*o. Calculate the remainder when 23 is divided by 15 - 16 - (g + -2 + 1).
2
Let k(h) = 733*h**2 + 6*h + 6. What is the remainder when k(-1) is divided by 35?
33
Let p be 35 + (0 + -1)*-1. Let m = p + -7. What is the remainder when 56 is divided by m?
27
Let n = 19 + -1. Let d = 10 - 5. Suppose -d*v + 146 + 104 = 0. Calculate the remainder when v is divided by n.
14
Let r be (1 + -4)/((-18)/(-12)). Let h = r + 6. Suppose -h*x = -0*x - 20. Calculate the remainder when 18 is divided by x.
3
Suppose -j = -6*j - 50. Let n(i) = -2*i - 7. Suppose 0 = 2*x + 3*z - 7 - 55, 5*x = 5*z + 205. What is the remainder when x is divided by n(j)?
11
Suppose 16*j + 22*j = 190. What is the remainder when 172 is divided by j?
2
Let h(s) = 5*s**3 + 58*s**2 + 20*s + 4. Calculate the remainder when h(-11) is divided by 35.
7
Let p = -167 + 307. What is the remainder when p is divided by 132?
8
Let j(y) = y**3 + 34*y**2 + 2*y + 167. What is the remainder when j(-34) is divided by 51?
48
Let w(a) = -a**2 - 30*a - 33. What is the remainder when w(-28) is divided by 9?
5
Let y(o) = -o**2 - 20*o + 12. Suppose 3*m + t - 3*t = -62, 2*m + 3*t + 37 = 0. Suppose -81 + 12 = -3*w. Calculate the remainder when w is divided by y(m).
11
Let c(k) = 6*k**2 - 5*k**2 + 13 - 10*k - k**3 + 8*k**2. Calculate the remainder when c(7) is divided by 13 - (0 + 1)*2.
8
Suppose 26 = 2*j + 5*g, -68*g + 34 = 3*j - 63*g. Calculate the remainder when 231 is divided by j.
7
Let o = -78 - -111. Let c(s) = 2*s**2 - s - 136. Calculate the remainder when c(11) is divided by o.
29
Let n = 51 - 30. Suppose -115 = -2*c + 3*o, 4*o - 3*o = -3*c + 189. Calculate the remainder when c is divided by n.
20
Let x(v) = 38*v - 82. What is the remainder when 96 is divided by x(3)?
0
Suppose 0 = 5*w - 3*m - m - 48, -5*w = 3*m - 69. Calculate the remainder when 226 is divided by w.
10
Let r(s) be the first derivative of -3*s**2/2 - 51*s + 3. Calculate the remainder when 2/(-7) + (-312)/(-14) is divided by r(-21).
10
Suppose -a - 3*j = -133 + 10, 4*j = -a + 128. What is the remainder when a is divided by 28?
24
Let z(g) = -g**2 - 1. Let d(b) = 6*b**2 + 3*b + 3. Let r(w) = d(w) + 5*z(w). Calculate the remainder when r(-5) is divided by ((-15)/6 + 1)*-2.
2
Suppose 3*j + 4 = 1. Calculate the remainder when 6 is divided by (-4)/(-10)*(9 - j).
2
Let q(s) = -s**3 - 6*s**2 - 6*s + 1. Let n be q(-5). Suppose n*d + 2*d - 688 = 0. Calculate the remainder when d is divided by 29.
28
Let n(f) = 2*f**3 + f**2 - f + 15. Let z be n(0). Suppose -9*d + z*d = 462. Calculate the remainder when d is divided by 39.
38
Let j(s) = -2*s**2 + 29*s + 7. Calculate the remainder when 37 is divided by j(14).
16
Let u(s) = -62*s**2 + 6*s + 4. Let i be u(-1). Let p = -55 - i. What is the remainder when (-99)/(-6) + (-2)/4 is divided by p?
7
Let y = -282 - -311. Suppose 138 = 5*c + 2*f, f - 107 = -4*c - 4*f. What is the remainder when y is divided by 2/(-7) + 428/c?
14
Suppose 11 = d + 4*i - 1, 5*d + 2*i = 78. What is the remainder when 122/4 + (-24)/16 is divided by d?
13
Suppose 15*p - 11286 = -3*p. What is the remainder when p is divided by 90?
87
Let x(j) = j**2 + j. What is the remainder when 3 - 2 - (0 - (22 + -1)) is divided by x(2)?
4
Let a(p) = -p**2 - 60*p - 129. What is the remainder when a(-50) is divided by 25?
21
Let q(k) = k**3 - 5*k**2 - 5*k - 6. Let y be q(6). Suppose 0*o = 4*o - x - 165, 2*o + 3*x - 93 = y. What is the remainder when o is divided by 9?
6
Let j(k) = 2*k**3 - 2*k**2 - 4*k + 4. Let t be j(2). Suppose 0 = -t*z - 0*z + 4, -q + 4 = -2*z. What is the remainder when 13 is divided by q?
1
Suppose -9*t + 7950 = 41*t. What is the remainder when t is divided by 15?
9
Let u = 60 + -34. Suppose 33 = 5*h - 342. Calculate the remainder when h is divided by u.
23
Let m = 7 + -17. Let q = 39 + m. Suppose 0 = -2*z - 3*z + 50. What is the remainder when q is divided by z?
9
Calculate the remainder when (-14 + 31)/(2/18) is divided by 39.
36
Calculate the remainder when (14/(-4) - -4)*-26*-2 is divided by 6.
2
Let n = 49 - 33. Suppose 2*i + 2*i = 336. Suppose 9 = 3*c - i. What is the remainder when c is divided by n?
15
What is the remainder when 68 is divided by -4 + (-188)/(-8) - (-5)/(-10)?
11
Suppose -6 = 2*q, -5*y + q + 8 = -0. Let s(h) = h - 18. Let c(t) = 2*t - 17. Let r(v) = 4*c(v) - 5*s(v). What is the remainder when y is divided by r(-7)?
0
Let v = 676 + -317. What is the remainder when v is divided by 4?
3
Suppose -5*u + 8 = -147. Suppose -v + u = -4*p, -5*v + 20 + 173 = -p. Calculate the remainder when v is divided by 14.
11
What is the remainder when 169 is divided by (57/(-228))/(1/(-36))?
7
Let i be ((-273)/42)/(1/2). Let l = -2 - i. Suppose -2*r - 2*r = 3*k - 203, 4*r = k + 215. Calculate the remainder when r is divided by l.
9
Suppose -135 = -5*b - 20. Let s = -111 + 135. Suppose 21*l - s*l = -201. Calculate the remainder when l is divided by b.
21
Let i = -326 + 476. Calculate the remainder when i is divided by 77.
73
Suppose -3 - 7 = 2*v. Calculate the remainder when ((-4)/v)/(2/75) is divided by (8/(-3))/(-2 + 25/15).
6
Suppose h - 16 = -1. Let b = h + -9. What is the remainder when (-1)/(-3 - 272/(-92)) is divided by b?
5
Let x be 1/((-2)/(-18)*27/306). Let y = x + -83. What is the remainder when 71 is divided by y?
14
Let g(y) = -5*y**3 - y**2 - y - 1. What is the remainder when 1456/520*(-210)/(-4) is divided by g(-2)?
36
Suppose 2*z = -2*d + 2090, -z + 1021 = 15*d - 20*d. What is the remainder when z is divided by 11?
7
Suppose -49*v - 45 = -54*v. Suppose -40 - 3 = -h. What is the remainder when h is divided by v?
7
Let x(h) = -2*h**2 - 58*h - 10. Calculate the remainder when x(-26) is divided by 30.
26
Let h be 4/30 + 136/(-120). Let q = -16 - -31. What is the remainder when 48 - (h*8)/(-2) is divided by q?
14
Suppose 5*k - 385 = 3*j, 38 - 319 = -4*k - 3*j. Let u(x) be the first derivative of 3*x**2 - 11*x - 1. Calculate the remainder when k is divided by u(6).
24
Let i(s) be the second derivative of -s**5/20 - s**4/3 + 2*s**3/3 - 3*s**2/2 - 12*s. Let u = -6 + 12. What is the remainder when u is divided by i(-5)?
0
Let c = 603 + -590. Suppose 8*z - 190 = 3*z. What is the remainder when z is divided by c?
12
Suppose 4*m - 27 = -15. Calculate the remainder when 55 is divided by m.
1
Suppose -5*a = -3*r - 87, -3*a - 3*r = -2*a - 3. What is the remainder when (957/(-22)*6/27)/(7/(-21)) is divided by a?
14
Let l be -30*((-6)/(-5))/(-3). Let t = 15 - l. Suppose -t*w + 60 = w. What is the remainder when 27 is divided by w?
12
Suppose 980 = 4*w + 5*a, 13*w - 242 = 12*w - 2*a. What is the remainder when w is divided by 84?
82
Let z(g) = -4*g**2 + 59*g - 78. What is the remainder when 3391 is divided by z(13)?
11
Let k(c) = -8*c - 13. Let l be k(4). Let i = l - -65. Calculate the remainder when 59 is divided by i.
19
Let t = 85 - 27. Calculate the remainder when 227 is divided by t.
53
Let x = -45 + 48. Suppose 4*h = 3*m + 203, x*m - 59 = -h + m. Calculate the remainder when h is divided by 5.
3
Suppose 2*n = -2*x + 7*x + 30, -2*n + 44 = 2*x. Suppose n*a = 21*a - 19. Calculate the remainder when 91 is divided by a.
15
Let i(o) = -o**2 - 9*o + 6. Let z be i(-5). Suppose 114*x = 119*x - 30. Let w = z - x. What is the remainder when 37 is divided by w?
17
Let h = -485 + 505. Calculate the remainder when 71 is divided by h.
11
Let f = -1701 - -1714. What is the remainder when 545 is divided by f?
12
Let z(v) = 4*v**2. Let y = 396 - 386. Calculate the remainder when y is divided by z(-1).
2
Suppose -9*v - 104 = -17*v. Calculate the remainder when v is divided by 2.
1
Suppose 0 = -5*j - 5*m + 30, 3*j + 0*m - 2*m = 13. Suppose -30 = 5*t - 190. What is the remainder when t is divided by j?
2
Let u(s) = s**3 + 6*s**2 + 12*s + 4. Let p be u(-5). Let t = -28 - p. Calculate the remainder when 6 + (-1 + 3)/2 is divided by t.
1
Let a(d) = 2*d**2 + 4*d - 21. Calculate the remainder when 161 is divided by a(6).
11
Suppose -4*p + 0*p = -