w - 27 = -3*l, 2*l + 5*w - 5 - 18 = 0. Let r(y) be the first derivative of 2/9*y**2 - 2/9*y + l - 2/27*y**3. Factor r(x).
-2*(x - 1)**2/9
Let q(f) be the third derivative of f**8/30240 + f**7/1512 - 2*f**5/15 + 13*f**2. Let j(v) be the third derivative of q(v). Find x, given that j(x) = 0.
-5, 0
Let h(l) be the first derivative of l**5 - 5*l**4/2 - 20*l**3/3 + 20*l**2 - 382. Factor h(x).
5*x*(x - 2)**2*(x + 2)
Let i be 21123/44 + 2/11. Let x = i - 476. Find z such that -11/4*z**2 - 21/4*z**3 + 0 - 1/2*z - 5/4*z**5 - x*z**4 = 0.
-1, -2/5, 0
Let s = -10353 + 10355. Suppose -s*n**2 + 4/15 + 26/15*n = 0. What is n?
-2/15, 1
Let c(o) be the first derivative of o**4 - o**2 - 1/3*o**6 - 4/3*o**3 + 5 + 2*o + 2/5*o**5. Suppose c(j) = 0. What is j?
-1, 1
Let x be -1 - -8*(-1)/(-2). Let z(b) = -3*b**5 + b**4 + 2*b**3 + 2*b**2 + b + 1. Let y(o) = -3*o**5 + 3*o**3 + 3*o**2. Let n(c) = x*z(c) - 4*y(c). Factor n(a).
3*(a - 1)**2*(a + 1)**3
Suppose 3*m = -2*y - 87, 4*m + 123 = -10*y + 5*y. Let h be (0 + (-40)/75)/(2/m). Determine w so that 28/5*w**3 - 48/5*w + h*w**2 - 16/5 = 0.
-2, -2/7, 1
Let f = -774/23 - -3939/115. Determine s so that s + 1/5*s**5 - f + 2/5*s**2 + 1/5*s**4 - 6/5*s**3 = 0.
-3, -1, 1
Let f = -284/73 - 16311/292. Let g = f - -60. Suppose g*b**4 + 1/4*b**3 + 0*b**2 + 0*b + 0 = 0. Calculate b.
-1, 0
Let y = -35 - -40. Let k(o) = 6*o**2 - 40*o + 40. Let w(r) = -2*r**2 + 13*r - 13. Let i(d) = y*k(d) + 16*w(d). Factor i(u).
-2*(u - 2)**2
Let l(s) = -26*s**3 + 3*s + 2. Let p be l(-1). Let n = -15 + p. Solve -n*u**3 + 13*u**3 - u**3 - 2*u**4 = 0 for u.
0, 1
Let c = -1151/24 + 389/8. Find i such that -c*i**2 - 8/3 - 8/3*i = 0.
-2
Factor -g - 4 - 15*g - 304*g**3 + 44*g**3 + 4 + 84*g**4 + 192*g**2.
4*g*(g - 2)*(g - 1)*(21*g - 2)
Let n be ((-6)/(-66))/(268/66 + (-44)/11). Find l such that 0*l - 15/2*l**2 + n*l**3 + 0 = 0.
0, 5
Let y(i) = -14*i + 68. Let h be y(5). Let m be (h - 1) + 5/25 + 3. Determine v, given that -3/5 - m*v**5 - 1/5*v - 3/5*v**4 + 6/5*v**2 + 2/5*v**3 = 0.
-3, -1, 1
Suppose 25 = -131*k + 54 + 364. Suppose -16/5*c**2 + 0 + 0*c**4 + 2/5*c**5 - 12/5*c**k - 6/5*c = 0. What is c?
-1, 0, 3
Let t be ((-6)/5)/(0 - (-9)/(-45)). Suppose -3*q - 12 = -6*q. Factor -15*z + 6*z - 3*z**5 + t*z**3 - 6*z**2 + 3 + 3*z**q + 6*z.
-3*(z - 1)**3*(z + 1)**2
Factor 2/5*g**3 - 72/5*g - 6/5*g**2 - 64/5.
2*(g - 8)*(g + 1)*(g + 4)/5
Let j = -106 + 123. Let g = j + -14. Let -r**4 + 9/4*r**2 + 0 - 3/4*r**g - 1/2*r = 0. What is r?
-2, 0, 1/4, 1
Let o(u) = -6*u**4 - 6*u**3 + 4*u**2 + 9*u. Let s(k) = 7*k**4 + 7*k**3 - 3*k**2 - 9*k. Let x(b) = -6*o(b) - 5*s(b). Solve x(z) = 0 for z.
-3, -1, 0, 3
Let u(x) = -2*x**2 + x. Let f(g) = -3*g**4 + 21*g**3 - 9*g**2 - 3*g - 24. Let l(t) = -f(t) + 18*u(t). Find s, given that l(s) = 0.
-1, 1, 8
Let b(z) be the first derivative of 2/39*z**3 - 5 + 2/13*z + 2/13*z**2. Factor b(r).
2*(r + 1)**2/13
Let z be (162/(-306))/(2*(-4)/144). Factor 64/17*c - 90/17*c**2 - z*c**3 - 8/17.
-2*(c + 1)*(9*c - 2)**2/17
Let b(n) = -n**3 + 2*n**2 - 4*n - 1. Let h be b(3). Let j be -12*2*22/h. What is k in -4*k**2 - 4*k + j*k**4 - 12*k - 4*k**5 - 52*k**3 + 52*k**2 = 0?
0, 1, 2
Let y(t) be the second derivative of t**8/616 - 3*t**7/385 + 3*t**6/220 - t**5/110 + 5*t**2/2 + 2*t. Let o(r) be the first derivative of y(r). Factor o(h).
6*h**2*(h - 1)**3/11
Let d(k) be the second derivative of -5*k**4/12 + 5*k**3/3 + 15*k**2/2 - 273*k + 3. What is j in d(j) = 0?
-1, 3
Let d(v) be the second derivative of 0 + 0*v**4 + 5*v + 0*v**2 + 1/10*v**5 - 1/15*v**6 + 0*v**3. Factor d(k).
-2*k**3*(k - 1)
Let k be 1360/7 + (-6 + 6)/(-5). Let i = -194 + k. Factor 24/7*j**2 + 128/7 + i*j**3 + 96/7*j.
2*(j + 4)**3/7
Let t(q) be the second derivative of -2*q**6/105 + 4*q**5/7 - 50*q**4/7 + 1000*q**3/21 - 1250*q**2/7 - 7*q. Factor t(h).
-4*(h - 5)**4/7
Let n be 9*12/189*75/2. Determine w, given that -108/7*w - 15/7*w**4 - 24/7 - 81/7*w**3 - n*w**2 = 0.
-2, -1, -2/5
Let t = -6 - -16. Factor -t*v**2 + 25*v - 10*v - 6 - 2*v**2 + 3*v**3.
3*(v - 2)*(v - 1)**2
Let k(s) = -3*s**2 + 15*s - 9. Let n be k(4). Let z(p) = -p + 4. Let w be z(2). Suppose 4*t**2 - t**w + 3*t**3 + 3*t**2 - n*t**4 = 0. Calculate t.
-1, 0, 2
Let v(z) be the third derivative of -z**8/336 + z**7/70 - z**6/40 + z**5/60 - 4*z**2 + 9. Let v(s) = 0. Calculate s.
0, 1
Let h(b) be the third derivative of b**5/20 - 11*b**4/4 + 2*b**2 - 75. Let h(s) = 0. What is s?
0, 22
Factor 0 - 2/11*l + 2/11*l**2.
2*l*(l - 1)/11
Let h(q) be the first derivative of -q**6/30 + 13*q**5/60 - 11*q**4/24 + q**3/3 + 8*q**2 + 1. Let i(s) be the second derivative of h(s). Factor i(l).
-(l - 2)*(l - 1)*(4*l - 1)
Let m = -7680 + 38406/5. Factor 48/5*o + 6*o**2 + m*o**3 + 24/5.
6*(o + 1)*(o + 2)**2/5
Let l(c) = c**3 + 19*c**2 + 17*c - 16. Suppose -3*m - 38 - 7 = 2*g, 2*g + m = -39. Let h be l(g). Factor -2 - 15*f**2 + h*f**4 + f**3 + 10*f**2 - f**2 - 7*f.
(f - 2)*(f + 1)**2*(2*f + 1)
Let g be 635/3 - (-8 - 175/(-21)). Let m = g + -211. Suppose 0 + 0*f + m*f**3 - 1/6*f**5 + 0*f**2 - 1/6*f**4 = 0. Calculate f.
-2, 0, 1
Let h(v) be the first derivative of -v**5/25 + v**4/20 + 2*v**3/15 - 186. Factor h(q).
-q**2*(q - 2)*(q + 1)/5
Let a = 1687 + -1685. Determine v so that 5/3*v**4 + 0 - 5/3*v - 5/3*v**a + 5/3*v**3 = 0.
-1, 0, 1
Let y = -5 - -10. Suppose -3*f + 3*n = -18, -3*f - y*n = 1 + 13. Factor -i**3 + 11 - 2*i**f - 3 + i + 3*i.
-(i - 2)*(i + 2)**2
Suppose -21 = 3*a - 6*a. Let n(r) = -r**2 + 0*r**2 + a*r - 6*r. Let p(j) = -j + 1. Let m(s) = 3*n(s) - 6*p(s). Factor m(w).
-3*(w - 2)*(w - 1)
Let g(z) be the first derivative of -z**6/30 + z**5/15 + 5*z**4/6 + 2*z**3 + z**2 - 4. Let i(c) be the second derivative of g(c). Determine y so that i(y) = 0.
-1, 3
Let r(w) = -w**3 - w**2 + 1. Let i be (10/3)/((-2)/(-9)). Let c(f) = 18*f**3 + 15*f**2 - 9*f - 21. Let z(m) = i*r(m) + c(m). Solve z(l) = 0.
-1, 2
Let c = -116 + 469/4. Let q(l) be the second derivative of 0 + 4*l - c*l**4 - 13/2*l**3 + 9*l**2. Factor q(t).
-3*(t + 3)*(5*t - 2)
Let n(c) be the third derivative of 0*c**4 - 1/1848*c**8 + 0*c**3 + 0 - 2/1155*c**7 + 1/165*c**5 + 0*c + 1/660*c**6 - 17*c**2. Determine p so that n(p) = 0.
-2, -1, 0, 1
Let q be 3 + 1 + (-16 - -14). Find u, given that 1/3*u**3 + u + 1/3 + u**q = 0.
-1
Let u(q) = -87*q - 121. Let k(r) = 2*r**2 + 7*r - 1. Let s(x) = 5*k(x) + u(x). Factor s(y).
2*(y - 7)*(5*y + 9)
Suppose -5*m + 5 + 185 = 0. Let c(u) = -2*u - 22. Let g be c(-12). Factor -8*y - m*y**g + 7*y + 35*y**2 - 17*y - 27.
-3*(y + 3)**2
Let h be 1005/9 + (2 - 3)*3. Let y = h - 108. Suppose -2*p**4 + 5/6*p**5 + 2*p**2 + 0 - 1/6*p**3 - y*p = 0. Calculate p.
-1, 0, 2/5, 1, 2
Suppose 4*m = 31 - 23. Solve f**2 + 3*f**m + 12 + 682*f + 4*f**3 - 702*f = 0 for f.
-3, 1
Let f = 1/8937 + 5953/44685. Factor 0 - f*c**5 + 2/3*c**4 + 0*c - 8/15*c**3 + 0*c**2.
-2*c**3*(c - 4)*(c - 1)/15
Let x(f) = -87*f + 176. Let m be x(2). Solve 2/23*i**3 - 8/23*i**m + 10/23*i - 4/23 = 0 for i.
1, 2
Let u(h) be the second derivative of h**5/105 - h**4/14 - 3*h**2/2 + 20*h. Let p(d) be the first derivative of u(d). Suppose p(w) = 0. Calculate w.
0, 3
Let a = 263/1430 - 9/65. Let n(v) be the first derivative of 0*v + 2/11*v**3 - 4 + 0*v**2 + a*v**4. Factor n(w).
2*w**2*(w + 3)/11
Let t(f) = -2*f - 47. Let k be t(-25). Let m = k - 0. Factor -11/2*a + 21/2*a**2 + 5/2*a**4 + 1 - 17/2*a**m.
(a - 1)**3*(5*a - 2)/2
Let b(i) be the first derivative of -1/30*i**4 + 2/5*i**2 + 0*i - 2/45*i**3 - 27. Let b(g) = 0. Calculate g.
-3, 0, 2
Let f = -59 + 68. Factor -8*s**3 + 25*s**2 + f*s**3 + 10*s + 19*s**3 + 5*s**4.
5*s*(s + 1)**2*(s + 2)
Let r(n) be the second derivative of n**8/1680 - n**6/600 - 9*n**2/2 + 12*n. Let v(d) be the first derivative of r(d). Factor v(s).
s**3*(s - 1)*(s + 1)/5
Factor 0*o + 4*o**4 - 4/3*o**5 + 0 + 4/3*o**2 - 4*o**3.
-4*o**2*(o - 1)**3/3
Let q = 1407/1790 + 5/358. Suppose -1/5 + 2*p**5 - q*p + 2*p**3 + 8/5*p**2 - 23/5*p**4 = 0. What is p?
-1/2, -1/5, 1
Let t be (-2)/8 + (-22)/8. Let z(w) = -244*w**2 + 4*w + 118*w**2 - 3*w + 125*w**2. Let k(l) = -7*l**2 + 35*l - 64. Let y(q) = t*z(q) + k(q). Factor y(o).
-4*(o - 4)**2
Let y(r) be the second derivative of 3*r**5/140 + 3*r**4/14 + 9*r**3/14 + 6*r**2/7 + 8*r - 2. Factor y(b).
3*(b + 1)**2*(b + 4)/7
Let d(n) be the second derivative of n**7