3*d. What is the remainder when d is divided by w(-6)?
8
Suppose -13*z - 8*z = 5544. Let n = z - -270. What is the remainder when 13 is divided by n?
1
Suppose 0 = 4*b + 5*x + 66, -5*x - 80 = 2*b + 3*b. Calculate the remainder when 50 is divided by b*(-5)/(-10) + 15.
2
Calculate the remainder when 580 + ((-4)/(-2) - -1) + -8 is divided by 53.
45
Suppose 42 = 2*n - 36. Suppose -3*w - 5*q = -17, -7*w + 2*w - 3*q + n = 0. Suppose 0 = -3*m + 86 - 11. Calculate the remainder when m is divided by w.
7
Suppose -2*z + 39 = 58*u - 53*u, -30 = -2*z - 2*u. Let i(n) = 19*n - 62. What is the remainder when i(z) is divided by 90?
76
What is the remainder when ((-4425)/(-5) - 0)*(-35)/(-60)*4 is divided by 45?
40
Let q(m) = m**3 + 5*m**2 + m - 4. Suppose 2*g - 2*c - 298 = 0, 17*g + 419 = 20*g + c. What is the remainder when g is divided by q(-4)?
6
Let b(f) = 138*f + 62. Let o be b(13). Suppose o = 17*t - 9*t. Calculate the remainder when t is divided by 39.
37
Let w(j) = j**3 - 2*j**2 + 1. Let i = -46 - -47. Let u be w(i). Suppose 9*s - 214 + 34 = u. Calculate the remainder when s is divided by 4.
0
Let s(n) = n**2 - 21*n + 22. Let f be s(20). Suppose 0 = -2*k - 5*c + 119, 205 = 4*k + f*c + 7. Calculate the remainder when k is divided by 13.
8
Let f = 4706 + -4685. What is the remainder when 49 is divided by f?
7
Suppose -5*h + 3*q = 981, 0 = 3*h - 3*q + 403 + 182. Let l = 210 + h. Let v(z) = 44*z**2 - z. What is the remainder when v(-1) is divided by l?
9
Let k(g) = -g**3 - 26*g**2 - 112*g - 2416. Calculate the remainder when k(-37) is divided by 115.
112
Suppose -6*k - 2131 = 227. Let j = -307 - k. Calculate the remainder when j is divided by 29.
28
Suppose 3*d - 70 = 38. Let l(p) = -p**2 + 31*p + 202. Calculate the remainder when 82 is divided by l(d).
16
Let s(w) = -27*w - 1532. What is the remainder when 505 is divided by s(-66)?
5
Suppose -4*n + 196 = 19*u - 15*u, u = -8*n + 406. Calculate the remainder when 83 is divided by n.
32
Suppose -3*x = 4*g - 87, -2*x + 114 = 5*g - 0*x. Let l be (-239 + -4)/(-1) + 4. Suppose -9*o + 581 = -l. Calculate the remainder when o is divided by g.
20
Suppose -25 = -4*j + 7. Suppose 46*l = -37*l + 8549. What is the remainder when l is divided by j?
7
Let o(f) = f**3 + 20*f**2 - 3*f - 27. Suppose -9*q - 4*a = -11*q - 36, 3*q - 5*a = -55. Calculate the remainder when 109 is divided by o(q).
10
Suppose 2*w + j + 5 = -w, 4*j = w - 20. Suppose 0 = -2*q + 6, 0 = -4*x - 4*q - w*q + 44. Calculate the remainder when (-4)/(((-1100)/775)/11) is divided by x.
7
Let k = -34 - -54. Let r be 2/13 - (-2 - (-288)/(-156)). What is the remainder when k is divided by (-36)/(-3) - (1 - (r - 4))?
9
Let y = 8662 - 8648. Let u(p) = -33*p**2 - p + 6. Let j(w) = -34*w**2 - w + 5. Let o(f) = -6*j(f) + 5*u(f). What is the remainder when o(1) is divided by y?
12
Let c be 132/(-24) - (-2)/(-4). Let l be (-6 - 1)*(-3 - 0/6). Let r = l - c. Calculate the remainder when r is divided by 6.
3
Let h = -21449 + 21465. What is the remainder when 111 is divided by h?
15
Let k(c) = 47*c**3 - 8*c**2 - 11*c + 55. Calculate the remainder when k(5) is divided by 132.
131
Let k be 4 - (-4 - (-5 + 3)). Suppose -2*b = -4*b - k. Let a(x) = -x**3 + 3*x**2 + 5*x - 2. Calculate the remainder when a(b) is divided by 10.
7
Let r(f) = f**3 + 11*f**2 + 7*f + 3. What is the remainder when 327 is divided by r(-10)?
30
Suppose 5*a = 1790 + 1365. What is the remainder when a is divided by 62?
11
Suppose 0*d - 17 = -3*d - 5*u, 0 = 3*u - 3. Let y be (2/d)/(5 + 236/(-48)). Suppose y*o - 4*o = 18. Calculate the remainder when o is divided by 6.
3
Suppose v - l = 3*l + 30, l + 5 = 0. Suppose -43 = -3*w - b, -w + 26 = w + 2*b. What is the remainder when w is divided by 858/195 - 4/v?
3
Suppose 4*b - 50 = o, 4*o - 34 = -4*b - 14. Let x(m) be the second derivative of -5*m**3/2 + 5*m**2/2 - 2*m. What is the remainder when x(-4) is divided by b?
10
Suppose -3*f - 9 = -5*o, 3*o = -f + 8*o - 23. What is the remainder when 338 is divided by f?
2
Let t(f) = 3*f**3 - 31*f**2 - 34*f + 59. Let k(s) = -s**3. Let w(r) = -2*k(r) - t(r). Calculate the remainder when 65 is divided by w(32).
0
Suppose 0 = -5*h + 5, -6*t + 11984 = -t + 4*h. Suppose -5*m = 2*f - 637, 5*f + 4*m = -846 + t. What is the remainder when f is divided by 22?
20
Let w(c) = -29*c - 1241. What is the remainder when w(-62) is divided by 17?
13
Let x = 6396 - 6017. What is the remainder when x is divided by 48?
43
Let a(h) = -12*h - 28. Suppose -4*k = 2*m + 10, -2*m - 6*k = -9*k + 3. Calculate the remainder when 8 is divided by a(m).
0
Let y(u) = -1 - u**2 - 7*u**2 + 7*u**2 + 12*u + 12. Let l = -44 + 64. What is the remainder when l is divided by y(12)?
9
Calculate the remainder when (4 - (-1028)/(-8))*(-4 - -2) is divided by 137.
112
Suppose x - 3*x + 154 = 0. Suppose 54*q = 42*q + 192. What is the remainder when x is divided by (-2*(-12)/16)/(2/q)?
5
Let k = 9155 - 9116. Suppose 3*f - 6 + 0 = 0. Suppose 6*j - y = 3*j + 27, -35 = -f*j - 5*y. What is the remainder when k is divided by j?
9
Let i = 14 + -4. Suppose -8*b + 3*b + i = 0. Let n = 26 - 13. Calculate the remainder when n is divided by b.
1
Calculate the remainder when (-16 - -28) + -24 + (-2414)/(-1) is divided by 302.
288
Let v(x) = -x**2 - 2 + 91*x - 13 - 100*x. Let h be v(-5). Suppose 4*a = h*a - 132. Calculate the remainder when a is divided by 15.
12
Let x = -39 + 63. Let m(j) = 16*j - 3. Let u be m(-11). Let z = u - -272. Calculate the remainder when z is divided by x.
21
Let s(i) = -6*i. Let g be s(-12). Suppose d - g = w, -134 - 127 = -4*d - 5*w. Calculate the remainder when d is divided by 35.
34
Let a(z) = z**3 + 34*z**2 - 56*z - 720. What is the remainder when 1754 is divided by a(-35)?
14
Let s(a) = a**3 + 7*a**2 - 3*a. Suppose -2*w = w + h - 412, w = -h + 138. Suppose 13*d = 71 + w. Calculate the remainder when s(-7) is divided by d.
5
Suppose 698 = -17*v + 29751. What is the remainder when v is divided by 81?
8
Let x(y) = -12*y - 1. Let w be x(-1). Let h = -5 + w. What is the remainder when 29 is divided by h?
5
Let k(m) = 56*m**2 - 714*m + 1427. Calculate the remainder when k(2) is divided by 14.
13
Suppose 23571 - 8851 = 92*q. Calculate the remainder when q is divided by 73.
14
Suppose -5*h + 45 + 40 = 0. Suppose 42*s = 30*s + 540. Calculate the remainder when s is divided by h.
11
Let n = 62 - 69. Calculate the remainder when (4/(-1))/(n/63) is divided by 19.
17
Let l = 1101 - 1045. Calculate the remainder when ((-3)/2)/(6/(-876)) is divided by l.
51
Suppose 2*c + 6 = c - 3*n, 3*c - n + 38 = 0. Let l be 1/(2*(-2)/c). Suppose b - 2*b + 1 = 0, -l*b - 74 = -x. What is the remainder when x is divided by 16?
13
Let d = 16398 - 16377. Let w = -7 + 10. Suppose w*s + 82 = 4*s. What is the remainder when s is divided by d?
19
Let w(m) = m**2 + m + 1. Suppose 5*y - 4*o = 2*y + 232, 52 = y + 5*o. Suppose y = -0*u + 6*u. Calculate the remainder when u is divided by w(-2).
0
Let k be 3/(375/65 - 6). Let y(m) = -6*m - 49. Calculate the remainder when y(k) is divided by 13.
3
Let z = -175 + 190. Suppose -13*w - 10 = -z*w. Calculate the remainder when 15 is divided by w.
0
Let d(o) be the third derivative of 7*o**4/24 - 14*o**2. Suppose 0 = -4*q - 2*u + u + 92, 2*u + 14 = q. What is the remainder when q is divided by d(1)?
1
Let z(j) = 32*j - 17. Let d be z(1). Calculate the remainder when (1270/(-25) + 2)/((-3)/d) is divided by 13.
10
Suppose -k + 63 - 320 = 0. Let j = -206 - k. What is the remainder when j is divided by 16?
3
Suppose -5*c = 4*l - 216, 88 = 2*c - 3*l + 5*l. Let o(x) = 4*x**3 - 6*x**2 + 10*x - 13. Let z = 855 - 853. Calculate the remainder when c is divided by o(z).
10
Let b be ((-3)/(-4))/((-34)/(-8) + -4). Let q = 62 + -27. Suppose 0 = 5*v, 5*v + 5 = -b*x + q. Calculate the remainder when 36 is divided by x.
6
Let n be ((-10)/(-6))/((-50)/(-360)). What is the remainder when 57 is divided by 12/21*(1386/n)/3?
13
Suppose 1956*u + 378 = 1964*u - 3022. What is the remainder when u is divided by 199?
27
Suppose 0 = -4*a + 5*u + 995, 998 = 4*a - 0*a - 2*u. What is the remainder when a is divided by (1386/(-90) + 7)*20/(-4)?
40
Suppose 0 = 3*m - 2*h - 614, -7*h = 3*m - 6*h - 620. What is the remainder when m is divided by 35?
31
Let n(s) = -3*s**2 - 47