f(v) = v**4 + v**3 + 1. Let w(i) = -40*i**4 - 48*i**3 + 104*i**2 + 144*i + 20. Let x(b) = -12*f(b) - w(b). Solve x(y) = 0.
-2, -1, -2/7, 2
Let v(c) be the third derivative of -11*c**2 + 0 - 5/2856*c**8 + 1/102*c**4 + 13/1785*c**7 + 0*c - 3/340*c**6 - 1/510*c**5 + 0*c**3. Factor v(n).
-2*n*(n - 1)**3*(5*n + 2)/17
Let l(c) = -c**3 - 7*c**2 - c + 3. Let d(z) = z**3 + 8*z**2 + z - 2. Let b(s) = -3*d(s) - 4*l(s). Factor b(h).
(h - 1)*(h + 2)*(h + 3)
Let y be ((-4)/(-6))/(12/54). Let v be ((-2)/y)/(18/(-81)). Suppose -a - v*a**3 + 0*a**2 + 8*a**3 - 2*a**2 - 6*a**3 = 0. Calculate a.
-1, 0
Let s = 181/1710 + 1/190. Let p(o) be the first derivative of s*o**3 - 2/3*o + 5 - 1/6*o**2. Factor p(r).
(r - 2)*(r + 1)/3
Let g(n) be the second derivative of 5/18*n**4 + 1/9*n**3 + 0 - 5/3*n**2 - 1/30*n**5 - 26*n. Factor g(d).
-2*(d - 5)*(d - 1)*(d + 1)/3
Let 354*t - t**2 - 318*t + 2*t**2 + 105 + 2*t**2 = 0. Calculate t.
-7, -5
Let g(v) be the third derivative of -2*v**7/315 + 2*v**6/9 + 22*v**5/15 + 34*v**4/9 + 46*v**3/9 - 236*v**2. Factor g(d).
-4*(d - 23)*(d + 1)**3/3
Let a = -37813 - -113440/3. Factor -13/3*x**2 - 16*x - a*x**3 - 12.
-(x + 1)*(x + 6)**2/3
Let u(n) be the third derivative of -49*n**5/480 - n**4/192 + 16*n**2 + 6*n. Factor u(r).
-r*(49*r + 1)/8
Suppose -f + 39 = c, 4*f + 4 = -3*c + 116. Factor 6*m**2 + 5*m + 9*m**2 - c*m**3 + 54*m**3.
5*m*(m + 1)*(2*m + 1)
Factor 12/5*a + 1/5*a**4 + 4/5 + 13/5*a**2 + 6/5*a**3.
(a + 1)**2*(a + 2)**2/5
Let j(n) be the third derivative of -1/105*n**5 + 1/735*n**7 + 1/21*n**3 + 0*n + 16*n**2 + 0*n**6 + 0*n**4 + 0. Solve j(a) = 0.
-1, 1
Let r(j) = 2*j + 7. Let n be r(5). Let k = n - 11. Factor -89 - k*d + 89 - 3*d**2.
-3*d*(d + 2)
Let a(m) be the third derivative of -m**5/390 + m**4/26 - 3*m**3/13 + 6*m**2 + 4. Factor a(z).
-2*(z - 3)**2/13
Let l be (-247)/(-78) + 2/(-12). Let g(i) be the first derivative of -i**l + 1 - 9/2*i**2 - 6*i. What is s in g(s) = 0?
-2, -1
Let x be 2/(-4)*2 + (1 - -7). Let q(t) = 7*t**2 - 16*t - 6. Let g(y) = 20*y**2 - 48*y - 19. Let w(r) = x*q(r) - 2*g(r). Determine l, given that w(l) = 0.
-2/9, 2
Let p(y) = 3*y**3 + 54*y**2 + 12*y + 36. Let t(d) = d + 3. Let m(h) = -p(h) + 12*t(h). Factor m(c).
-3*c**2*(c + 18)
Let r(i) be the first derivative of 22*i**4 + 16 + 80*i**2 + 14/5*i**5 + 64*i**3 + 32*i. What is s in r(s) = 0?
-2, -2/7
Let m = 125/62 - 47/31. Factor -1/4*g**5 + g**3 + 0*g**4 - m*g**2 + 1/2 - 3/4*g.
-(g - 1)**3*(g + 1)*(g + 2)/4
Let g(z) be the first derivative of -2*z**3/15 + 82*z**2/5 - 3362*z/5 + 31. Determine u, given that g(u) = 0.
41
Suppose 0 = -t - 0 + 3. Let d(c) = 3*c**3. Let a(v) = -2*v**3 - v. Let x(l) = t*d(l) + 4*a(l). Let x(w) = 0. What is w?
-2, 0, 2
Let r(y) be the first derivative of 2*y**5/5 + 13*y**4/2 + 46*y**3/3 + 11*y**2 + 348. Factor r(d).
2*d*(d + 1)**2*(d + 11)
Determine c so that -6*c**2 - 13*c**4 - c + 18*c**2 + 8*c**3 + 16 + 9*c**4 - 31*c = 0.
-2, 1, 2
Let u(d) be the second derivative of d**4/3 + 10*d**3/3 - 72*d**2 - 446*d. Factor u(b).
4*(b - 4)*(b + 9)
Factor 20093 + 14*s**2 - 6*s**2 - 8*s**4 + 4*s**5 - 20093 - 4*s.
4*s*(s - 1)**3*(s + 1)
Let k(w) be the third derivative of -w**6/60 + 3*w**5/5 - 11*w**4/4 + 16*w**3/3 - 296*w**2. Factor k(c).
-2*(c - 16)*(c - 1)**2
Suppose 35*p - 38*p = 21. Let g(v) = -16*v**3 + 16*v**2 + 2*v - 16. Let a(w) = -5*w**3 + 5*w**2 + w - 5. Let s(j) = p*a(j) + 2*g(j). Factor s(d).
3*(d - 1)**2*(d + 1)
Let r(n) be the third derivative of 5*n**7/56 - 5*n**6/32 - 7*n**5/40 + 4*n**2 - 2*n. Factor r(w).
3*w**2*(5*w - 7)*(5*w + 2)/4
Let a = 2/87561 + 10857494/3064635. Let f = a + -22/7. Factor -2/5*j**2 + 0*j + f.
-2*(j - 1)*(j + 1)/5
Let h(z) be the third derivative of -z**6/70 - 9*z**5/140 + 5*z**4/28 + 3*z**3/14 + 3*z**2 + 5*z. Factor h(x).
-3*(x - 1)*(x + 3)*(4*x + 1)/7
Let v(d) be the third derivative of -d**8/168 + d**7/21 - d**6/20 - d**5/6 + d**4/3 - 13*d**2 + 4. Suppose v(o) = 0. Calculate o.
-1, 0, 1, 4
Let z(d) be the third derivative of 0 + 0*d**4 + 1/45*d**5 + 6*d**2 - 1/630*d**7 + 0*d**6 + 0*d + 0*d**3. Find a, given that z(a) = 0.
-2, 0, 2
Let q(g) be the third derivative of g**7/1050 - g**6/60 - 23*g**5/300 - g**4/10 + 7*g**2 + 25. What is w in q(w) = 0?
-1, 0, 12
Factor 3/5*g**4 - 6/5*g - 9/5*g**2 + 0*g**3 + 0.
3*g*(g - 2)*(g + 1)**2/5
Suppose 0*k - k = 2. Let h be 3 - ((-6)/k + -2 + 0). Let 1/3 + o**h + 4/3*o = 0. Calculate o.
-1, -1/3
Let t be ((-10)/(-1120)*7)/((-13)/(-52)). Factor -7/4 - 2*w - t*w**2.
-(w + 1)*(w + 7)/4
Let d be ((3/(-25))/(-1))/((-567)/(-315)). Let u(s) be the third derivative of -2/3*s**3 + 0*s**4 + 0 + d*s**5 + 0*s - 9*s**2. Factor u(a).
4*(a - 1)*(a + 1)
Let v(n) be the third derivative of -n**5/510 + n**3/51 - 83*n**2. Factor v(s).
-2*(s - 1)*(s + 1)/17
Let b(d) be the first derivative of d**4 - 4*d**3/3 - 34. Find x, given that b(x) = 0.
0, 1
Let i be 752/282*((-3)/4)/(-3). Let k(d) be the first derivative of -i*d**2 + 2/9*d**3 - 1 - 2*d. Let k(h) = 0. Calculate h.
-1, 3
Let v(u) = u**3 - 3*u**2 - u - 1. Let w(q) = 6*q**3 - 6*q**2 - 52*q + 52. Let n(l) = -4*v(l) + w(l). Factor n(y).
2*(y - 2)**2*(y + 7)
Suppose -3*c = -2*o - 22, 3*o = 2*c + 2*c - 34. Let k be 43/9 - o/63. What is t in 6 + k - 4 - 9*t**2 - 3*t - 1 = 0?
-1, 2/3
Let n(d) = -2*d**2 - 18*d. Suppose 4*h + 37 = x, 3*h + 23 = h + 5*x. Let o be n(h). Suppose -2/9*l**2 + 0 + o*l = 0. Calculate l.
0
Let m(k) be the third derivative of 0 + 5*k**2 + 1/12*k**5 + 0*k**3 + 0*k**4 + 0*k. Find n, given that m(n) = 0.
0
Factor 2/3*p**4 + 0*p + 0*p**2 + 0 + 1/3*p**5 + 1/3*p**3.
p**3*(p + 1)**2/3
Let s(q) = 10*q**4 - 74*q**3 + 72*q**2 - 32*q. Let v(w) = -3*w**4 + 25*w**3 - 24*w**2 + 11*w. Let h(a) = 3*s(a) + 8*v(a). Solve h(t) = 0.
0, 2/3, 1, 2
Let w = -417 + 1259/3. Let j(b) be the third derivative of 0 + 1/60*b**5 + 0*b + 1/3*b**4 + w*b**3 + 4*b**2. Factor j(g).
(g + 4)**2
Let p(q) be the second derivative of q**4/48 - 3*q**3/8 + 9*q**2/4 + 2*q - 85. Factor p(g).
(g - 6)*(g - 3)/4
Determine w, given that 674*w**4 - 1323*w**4 - 2*w**5 + 40*w**3 + 665*w**4 = 0.
-2, 0, 10
Let o(d) = -d**2 - 49 + 9*d - 3*d - 26*d. Let u(n) = 2*n. Let x(g) = -2*o(g) - 6*u(g). Find b such that x(b) = 0.
-7
Determine f, given that 5/3*f**3 + 1945085/3 + 26645*f + 365*f**2 = 0.
-73
Suppose 7*c = -2*c + 18. Suppose 2*k = 2*y - 3*y + 12, 2*k - y = 4. Solve k*a**3 + 2 - 3*a**3 - c*a**2 + 0*a**2 - a = 0.
-1, 1, 2
Let p(m) be the third derivative of 9*m**2 - 1/3*m**5 + 1/30*m**6 + 4/3*m**4 + 0 - 8/3*m**3 + 0*m. Factor p(v).
4*(v - 2)**2*(v - 1)
Let b(p) be the second derivative of p**7/12600 + p**6/3600 + p**4/2 - 2*p. Let z(d) be the third derivative of b(d). Factor z(u).
u*(u + 1)/5
Factor -36/5 - 18/5*o - 2/5*o**2.
-2*(o + 3)*(o + 6)/5
Let d(j) = -3*j**3 - 27*j**2 - 70*j - 34. Let b(n) = -21*n**3 - 189*n**2 - 495*n - 237. Let q(v) = -2*b(v) + 15*d(v). Let q(k) = 0. Calculate k.
-6, -2, -1
Let l(h) be the second derivative of 0*h**2 - 3/50*h**5 - 4/15*h**3 + 0 - 24*h - 4/15*h**4. Factor l(t).
-2*t*(t + 2)*(3*t + 2)/5
Solve -2/19*f**2 - 10/19*f + 12/19 = 0.
-6, 1
Suppose 0*y + 16 = y. Suppose -3*p - y = -5*v, 2*v + 0 = p + 6. Suppose -4*a - 1 + 5*a**2 - a**4 - a**v - 2*a**2 + 4*a**3 - 4*a**5 + 4*a**3 = 0. What is a?
-1, -1/4, 1
Factor -8/7 - 4/7*h**3 + 16/7*h + 2/7*h**2.
-2*(h - 2)*(h + 2)*(2*h - 1)/7
Let h(i) be the third derivative of -i**8/1344 + i**6/120 + i**5/120 - i**4/32 - i**3/12 + 3*i**2 - 1. Factor h(r).
-(r - 2)*(r - 1)*(r + 1)**3/4
Let o(p) be the second derivative of p**5/4 + 5*p**4/2 - 25*p**3/2 + 20*p**2 - 511*p. Solve o(z) = 0 for z.
-8, 1
Factor 3/8*o**2 + 9 - 21/4*o.
3*(o - 12)*(o - 2)/8
Suppose 0 = 435*d - 447*d. Let n(m) be the second derivative of 0*m**3 - 3/10*m**5 + 1/10*m**6 + 0 + 2*m + 0*m**4 + d*m**2. What is j in n(j) = 0?
0, 2
Suppose y - 5*c - 10 = 7, -y - 2*c - 4 = 0. Factor 58*o**2 + 8*o + 4*o**3 - 35*o**2 - 35*o**y.
4*o*(o - 2)*(o - 1)
Let -24/7*w + 128/7*w**4 - 88/7*w**2 + 0 + 26/7*w**3 - 6*w**5 = 0. Calculate w.
-2/3, -2/7, 0, 1, 3
Let v = 27 - 21. Factor -7*q**3 - 2*q**4 + v*q**3 + 5*q**3 - 2*q**3 + 4*q**2.
-2*q**2*(q - 2)*(q + 1)
Let n(c) = -57*c**2 - 108*c - 24. Let s(l) = l**3 - 58*l**2 - 110*l - 22. Let a(f) = 7*n(f) - 6*s(f). Factor a(k).
-3*(k + 2)*(k + 6)*(2*k + 1)
Let w = 7593/770 + -108/11. Let y(l) be the third d