lculate the remainder when 65 is divided by l.
15
Suppose 10*y + 8 = 2*y. Calculate the remainder when (0 - y)/(-1*2/(-338)) is divided by 57.
55
Suppose 310 = 6*y - 1448. What is the remainder when y is divided by 101?
91
Let k(x) = 225*x**3 + 42*x - 41. What is the remainder when k(1) is divided by 65?
31
Suppose -403 + 563 = 10*j. Let y(w) = w**3 - 9*w**2 + 12*w - 3. Calculate the remainder when y(8) is divided by j.
13
Let j(u) = u**3 + 7*u**2 + 6*u + 5. Let s be j(-4). Calculate the remainder when (-3)/(-6)*s*2 is divided by 15/((-1 - 4)/(-5)).
14
Suppose 13*h + 0*h = 338. What is the remainder when h is divided by 10?
6
Suppose -5*f = -172 - 533. Suppose 4*w - d - f = 0, 3*w - 6*d + d - 93 = 0. Calculate the remainder when 142 is divided by w.
34
Suppose a = 32 - 1. What is the remainder when a is divided by 7?
3
Suppose -w + 10 = -j, 2*j - 6*j = 5*w - 5. Let s = -2 + w. Suppose -s*f + 3*x = -x - 29, -37 = -5*f + x. What is the remainder when f is divided by 2?
1
Let p(i) be the first derivative of 8*i**3/3 + i**2 - 13*i - 21. What is the remainder when p(4) is divided by 21?
18
Let q = 4651 + -3136. Calculate the remainder when q is divided by 11.
8
Let j be -9 - 3/3 - -1. Let a = 15 + j. Suppose 3*p - 132 = -45. Calculate the remainder when p is divided by a.
5
Let f be -24*4*(-3)/(-6). Let q = f + 63. What is the remainder when q is divided by 0 + (7/1 - 1)?
3
Suppose 13 = g + 3*n, 12*g - 54 = 7*g - 4*n. Calculate the remainder when 767 is divided by g.
7
Suppose 2*v + 8*v = 1480. Suppose -3*u + v = -56. Calculate the remainder when u is divided by 18.
14
Let h be -5*-2*12/8. Let t(s) = s**2 - s + 4. What is the remainder when 715/h - 4/6 is divided by t(4)?
15
Let r(i) = i**3 - i**2 - 5*i - 1. What is the remainder when 41 is divided by r(4)?
14
Suppose -2957*a + 2965*a - 824 = 0. Calculate the remainder when a is divided by 14.
5
Let z(r) = r**2 + 8*r - 15. Calculate the remainder when z(-15) is divided by 41.
8
Let g(y) = -y**3 + 31*y**2 - 23*y - 195. What is the remainder when 114 is divided by g(30)?
9
Suppose -282 = -4*g + f + 1167, 3*f = -15. What is the remainder when g is divided by 46?
39
Let z = 24 + -15. What is the remainder when (30/9 + -2)*z is divided by 4?
0
Suppose 44*m - 2794 - 682 = 0. What is the remainder when m is divided by 18?
7
Let z(n) = 19*n - 51. What is the remainder when z(5) is divided by 24?
20
Let p(x) = -x**3 + 12*x**2 + 5*x - 22. Let n be p(13). Calculate the remainder when 5*(n/(-15) + 6/15) is divided by 17.
10
Calculate the remainder when 0 - (936/(-45))/(1/5) is divided by 18.
14
Suppose 4*y - 87*l - 783 = -86*l, -172 = -y + 5*l. What is the remainder when y is divided by 66?
65
Let k(a) = -9*a**3 - a - 1. Let w = 12 + -8. What is the remainder when k(-1) is divided by 9/w + 6/8?
0
Let x = 2226 + -1112. What is the remainder when x is divided by 31?
29
Let x(s) = s**3 + 9*s**2 + 3*s - 13. Suppose b - 88 = 12*b. What is the remainder when 47 is divided by x(b)?
20
Let a = -70 + 47. Let f = a + 28. What is the remainder when 19 is divided by f?
4
Let f be 12/(-8)*((-76)/12 - -3). Suppose -b = -2*i + 2*b + 20, -3*b + 92 = f*i. What is the remainder when i is divided by 5?
1
Suppose -5*q - 36 = 2*x, -4 = 5*x + q + 40. Let v(z) = z**3 + 8*z**2 - 3*z - 3. Calculate the remainder when v(x) is divided by 11.
10
What is the remainder when (-231)/(-22)*12/21 is divided by 4?
2
Let x(l) = -14*l**2 - 15*l + 3. Let p be x(-3). Let n = p - -97. Calculate the remainder when n is divided by 11.
8
Let q = 90 + -90. Suppose 2*c + 5*c - 56 = q. What is the remainder when 30 is divided by c?
6
Suppose 5*s + 8 = -2*h - h, -4*h + 2*s - 2 = 0. Suppose -i + 5*i = 200. Calculate the remainder when i is divided by h/(-1 - 48/(-51)).
16
Suppose -71*u + 2*h + 134 = -67*u, 65 = 2*u + h. Calculate the remainder when 3199 is divided by u.
31
Suppose -3*l = a - 11, -3*a + 3*l = -18 - 15. Let d(k) = -k**3 + 10*k**2 + 16*k - 9. Suppose -y = y - 32. Calculate the remainder when d(a) is divided by y.
14
Suppose -29*t - 12972 = -123*t. Calculate the remainder when 286 is divided by t.
10
Calculate the remainder when 46 is divided by (-27 - -29) + 1 + 12.
1
Let c(j) = j**2 - 5*j - 13. Let f = 18 + -8. What is the remainder when c(f) is divided by 10?
7
Let p(a) = 5*a**2 + 49*a + 174. What is the remainder when 134 is divided by p(-4)?
18
Let g = 56 + -42. Suppose 0 = -g*n - 287 + 805. Calculate the remainder when n is divided by 27.
10
Let y = 82 - 78. Suppose -3*x = -7*x - 5*p + 114, y*x - 128 = 2*p. What is the remainder when 152 is divided by x?
28
Suppose -99*f = -100*f - 1, 3*y - 167 = -f. What is the remainder when 159 is divided by y?
47
Let p = -292 - -367. Calculate the remainder when 296 is divided by p.
71
Let w = -292 + 306. Calculate the remainder when 307 is divided by w.
13
Suppose 3*y - 168 = -4*y. What is the remainder when 110 is divided by y?
14
Suppose 133*m = 135*m - 698. What is the remainder when m is divided by 44?
41
Calculate the remainder when (-4284)/(-72)*(-8)/(-14) is divided by 18.
16
Suppose 0 = 6*y - 11 - 19. Calculate the remainder when 14 is divided by (y - 2/(-1)) + 3 + 1.
3
Suppose 0 = 5*x - 9*x - 76. Let n(w) = w + 33. Calculate the remainder when 54 is divided by n(x).
12
Suppose -10*n = -6*n - 5*w - 66, 5*w + 38 = 2*n. Calculate the remainder when 128 is divided by n.
2
Let a = 989 - 668. Calculate the remainder when a is divided by 14.
13
Suppose 0 = 2*o - 0*o - 8. What is the remainder when 2*(15/10 + 0 + 3) is divided by o?
1
Let c(n) = -2*n - 18. Let t be c(-11). Suppose -4 = t*o - 24. Let z(d) = 3*d**2 + 2*d - 11. Calculate the remainder when z(o) is divided by 38.
36
Suppose -9*a - 197 + 1475 = 0. What is the remainder when 159 is divided by a?
17
Let g be -1 + 12/2 + -3. Suppose -5*v - t + 0*t = -130, -g*t = 5*v - 135. Suppose 5*s = 598 - 238. Calculate the remainder when s is divided by v.
22
Let n(i) = -i. Let a be (-5)/(15/(-9)) - 3*1. Suppose 4*f + a*f = -5*q + 21, 2*f = 4*q + 30. Calculate the remainder when f is divided by n(-3).
0
Let f = 506 + -501. What is the remainder when 81 is divided by f?
1
Let o = -5 - 1. Let b = o - -23. What is the remainder when (2 + (0/3)/1)*24 is divided by b?
14
Suppose 9*b = 4*b + 170. Calculate the remainder when 58 is divided by b.
24
Let z be ((-3 - 1) + 3)*1 + 3. Suppose 4*o - 77 = -z*c - 3*c, -85 = -5*o + 5*c. What is the remainder when o is divided by 4?
2
Let q(x) = -2*x - 8. Let g be q(-6). Suppose 5*s = -5, -76 = -4*i + g*s - 0*s. Calculate the remainder when i is divided by 3.
0
Let t = 2962 + -2954. What is the remainder when 94 is divided by t?
6
Let n be ((-21)/9)/((-1)/(-3)). Suppose 4*r - 6*j - 32 = -3*j, -32 = -4*r + 2*j. Calculate the remainder when (-46)/4*(n - -5) is divided by r.
7
Suppose 0 = -5*g + 5, -35 = y - 5*y + g. Let b(j) = -2*j + 27. What is the remainder when (2 - 3 - -2)*17 is divided by b(y)?
8
Let v(l) = -16*l**2. Let t(g) = g**2 + g - 1. Let h(u) = -t(u) - v(u). Let j be 4 + 1/(2/(-6)). What is the remainder when h(j) is divided by 6?
3
Let l = -143 - -160. What is the remainder when 47 is divided by l?
13
Let b = 151 + 27. Calculate the remainder when b is divided by 15.
13
Let t = -253 + 274. Calculate the remainder when t is divided by 9.
3
Suppose -x + 131 = 4*w, -5*x - 91 = -3*w + 13. Let u = 219 - 156. What is the remainder when u is divided by w?
30
Suppose 4*q - 5 - 7 = 0. Suppose 3*k = 4*k + 15. Let t = 29 + k. What is the remainder when t is divided by q?
2
Let x be 2*-1 + 7 + -4. Let q = x - -4. Let a = 9 - -4. Calculate the remainder when a is divided by q.
3
Let c = -57 + 67. Let m(h) be the first derivative of h**4/4 - 11*h**3/3 + 13*h**2/2 - h - 3. What is the remainder when m(10) is divided by c?
9
Let j = -516 + 539. Let u = -38 - -78. What is the remainder when u is divided by j?
17
Let z = -27 + 48. Suppose -335 = -16*f + 321. Calculate the remainder when f is divided by z.
20
Suppose 4*a = 2*n + 392, -a = 4*a - 3*n - 491. Let m = a - 44. Suppose -137 = -5*o + 3. Calculate the remainder when m is divided by o.
25
Let v = 114 + -87. What is the remainder when v is divided by 18?
9
Suppose -10*v + 16*v = 24. Suppose -v = -2*r + 22. Calculate the remainder when 63 is divided by r.
11
Let q(c)