*u**5 + 0*u - 11/6*u**4 + 2/3*u**2 + 0 = 0.
-2, 0, 1/3
Let m(c) be the second derivative of -46*c**6/15 - 8*c**5 - 11*c**4/3 + 4*c**3 - 126*c. Factor m(n).
-4*n*(n + 1)**2*(23*n - 6)
Suppose 80613 = v + 80609. Solve 158/9*k**3 - 40/3*k + 212/9*k**2 - 200/9*k**5 + 16/9 - 130/3*k**v = 0 for k.
-2, -1, 1/4, 2/5
Suppose 4 = -y - 2*i + 28, -3*y - 2*i + 84 = 0. Let c be y/(-24)*4/(-10). Factor 0 - 1/2*g**2 + c*g.
-g*(g - 1)/2
Factor -27*p**2 - 30*p**3 + 54*p - 33*p + 135*p + 14 - 3*p**4 - 59 - 51.
-3*(p - 1)**2*(p + 4)*(p + 8)
Let t be 202/303*(-2 + 5). Let -2/13*b - 50/13*b**4 + 18/13*b**t + 0 - 30/13*b**3 = 0. What is b?
-1, 0, 1/5
Let p be (1040/(-75))/(-26) - 3/15. Find l such that -p - l**2 + l + 1/3*l**3 = 0.
1
Let s = -36 + 48. Let z = s + -71/6. Factor -1/6*k**4 + 1/6*k**2 - z*k + 1/6*k**3 + 0.
-k*(k - 1)**2*(k + 1)/6
Let j(n) be the third derivative of -n**5/105 - 5*n**4/42 - 8*n**3/21 - 175*n**2. Factor j(g).
-4*(g + 1)*(g + 4)/7
Let p be (2736/15)/(-1 + 0) + -2. Let i = 185 + p. Solve -3/5*y**4 + 0*y - 1/5*y**2 - 1/5*y**5 - i*y**3 + 0 = 0 for y.
-1, 0
Suppose -5*j + 4*u = -17, -2*j + 3*u = -2 - 2. Find h, given that -3*h**j - h**2 - 3*h**4 + 0*h**5 + 3*h**3 + 4*h**5 = 0.
0, 1
Let u(p) = 2*p + 7*p + 2*p**2 + 8 + 3*p**2 - 2*p. Let a(h) = -66*h**2 - 90*h - 105. Let b(m) = 2*a(m) + 27*u(m). Factor b(z).
3*(z + 1)*(z + 2)
Let b = -529 + 3711/7. Let r(u) be the first derivative of 16/7*u**2 - 5 - 10/21*u**3 - 25/14*u**4 - b*u. Factor r(j).
-2*(j + 1)*(5*j - 2)**2/7
Let a be (22 - 3) + -21 + 7. Solve -1/2*j**a + 2*j + 0 + 2*j**2 - 2*j**4 - 3/2*j**3 = 0.
-2, -1, 0, 1
Let v(l) = 7*l**2 - 73*l + 583. Let g(n) = 3*n**2 - 36*n + 291. Suppose -7*y = 8 - 22. Let a(h) = y*v(h) - 5*g(h). Factor a(q).
-(q - 17)**2
Factor y**3 - 3*y**2 - 306*y**4 + 153*y**4 + 154*y**4 - 5*y + 1 - 3.
(y - 2)*(y + 1)**3
Let m(q) be the first derivative of -2*q**3/45 - 4*q**2/5 - 8*q/3 + 168. Suppose m(o) = 0. Calculate o.
-10, -2
Suppose 0 = 4*i - 12*i - 128. Let s = i - -19. Factor -4/9 + 2/3*q - 2/9*q**s + 0*q**2.
-2*(q - 1)**2*(q + 2)/9
Suppose 0 = 6*x - 3*x - 9. Solve -m**x - 8 + 4*m**3 + 5*m**3 + 20*m - m**3 + 26*m**2 = 0.
-2, 2/7
What is f in -501*f**3 + 506*f**3 + 38*f**2 + 52*f**2 = 0?
-18, 0
Let p(r) be the second derivative of -r**7/14 - 49*r**6/10 + 15*r**5/2 - 341*r. Suppose p(h) = 0. What is h?
-50, 0, 1
Let c(p) be the first derivative of -p**4/2 - 4*p**3/3 - 16. Factor c(h).
-2*h**2*(h + 2)
Let j(c) = -c - 1. Let w be j(-4). Let h(o) be the third derivative of 0*o**5 + 1/720*o**6 + 0*o**w + 0*o**4 + 0*o + 0 + 3*o**2. Suppose h(b) = 0. What is b?
0
Let s(n) = 110*n**4 - 485*n**3 + 330*n**2 + 485*n - 440. Let x(i) = 5*i**4 - 22*i**3 + 15*i**2 + 22*i - 20. Let q(w) = 2*s(w) - 45*x(w). Factor q(k).
-5*(k - 2)**2*(k - 1)*(k + 1)
Let i(b) be the second derivative of 0 - 23*b - 8/7*b**2 + 1/70*b**5 - 1/7*b**4 + 4/7*b**3. Factor i(a).
2*(a - 2)**3/7
Find h such that -5/4*h**2 - 15/2 - 53/4*h = 0.
-10, -3/5
Let l(c) = 11*c**3 - 20*c**2 - 44*c - 40. Let m(g) = 2*g**3 - g**2. Let s(k) = l(k) - 6*m(k). Find a such that s(a) = 0.
-10, -2
Let g(z) be the second derivative of -z**4/12 + 32*z**3/3 + 65*z**2/2 + 25*z - 7. Factor g(a).
-(a - 65)*(a + 1)
Suppose -5*p + 1 = -14. Suppose 4*i - 37 - 47 = 0. Suppose 15*n**4 + 2 - i*n**3 + 3*n + 27*n**2 - 18*n**3 - p - 5 = 0. What is n?
-2/5, 1
Let p = -39 + 43. Suppose 12 = 4*v + 4*k, v = p*v - 4*k - 2. Factor 0*h + 0 + 1/6*h**v.
h**2/6
Let w(m) = 26*m**2 + 310*m - 315. Let f(r) = 71*r**2 + 930*r - 945. Let h(u) = 3*f(u) - 8*w(u). Find l such that h(l) = 0.
-63, 1
Let s(w) be the second derivative of -w**5/90 - w**4/54 + 2*w**3/9 - 62*w. Factor s(m).
-2*m*(m - 2)*(m + 3)/9
Let n(l) be the third derivative of -5*l**8/336 - 2*l**7/21 - 5*l**6/24 - l**5/6 + 10*l**2. Factor n(w).
-5*w**2*(w + 1)**2*(w + 2)
Let j(k) be the second derivative of k**3/2 + 4*k**2 + 9*k. Let l be j(7). Factor -l - 3*o**2 - 19 - 19*o - 5*o.
-3*(o + 4)**2
Let b(a) be the first derivative of a**6/2 - 3*a**5/5 - 3*a**4/2 + 100. Suppose b(o) = 0. Calculate o.
-1, 0, 2
Let l be 0/2 - (-3 - -3). Suppose l = -c + 2*f + 7, -5*c + 2*f = -10*c + 23. Find g such that 2 + 2*g + g - c*g**2 + g**2 - g**2 = 0.
-2/5, 1
Factor 0 - 14/3*v**2 + 2/3*v**3 + 0*v.
2*v**2*(v - 7)/3
Let x(n) be the first derivative of n**3/3 + 8*n**2 - 24*n - 25. Let b(a) = 2*a**2 + 48*a - 72. Let y(j) = 3*b(j) - 8*x(j). Factor y(t).
-2*(t - 6)*(t - 2)
Factor -1/2*x**2 + 0 - 9/2*x.
-x*(x + 9)/2
Let x(i) be the third derivative of -1/42*i**4 + 0*i + 1/210*i**5 + 0 + 7*i**2 + 0*i**3. Solve x(m) = 0.
0, 2
Solve 6*v + v**2 - 2/3*v**3 - 1/6*v**4 + 9/2 = 0.
-3, -1, 3
Let t(f) = -f - 55 + 56 + 2*f. Let k(r) = 4 - 587*r + 587*r + 2*r**2. Let p(y) = k(y) - 3*t(y). Factor p(q).
(q - 1)*(2*q - 1)
Let p(i) be the first derivative of -5/6*i**6 + 10/3*i**3 - 5/2*i**2 - 5*i + 5/2*i**4 - i**5 + 21. Factor p(b).
-5*(b - 1)**2*(b + 1)**3
Suppose 382 = -2*b + 4*o, 2*b - 4*o - 523 = 5*b. Let u = b + 1993/11. Factor -u*n - 4/11 + 2/11*n**2.
2*(n - 2)*(n + 1)/11
Solve -18/5*g - 238/15 + 4/15*g**2 = 0 for g.
-7/2, 17
Let u(c) = -7*c**3 + 5*c**2 + 7*c. Suppose 3*s = 3 + 6. Let p(w) = -2*w**2 - 3*w**s - 3*w + 6*w**3 + 0*w. Let t(z) = -10*p(z) - 4*u(z). Factor t(l).
-2*l*(l - 1)*(l + 1)
Let g be -1 + (1 - -3) + (-21)/(-3). Factor 4*h**2 + 18*h**2 - 15*h - 3*h**3 - g*h**2 + 6.
-3*(h - 2)*(h - 1)**2
Let w(x) = x**2 - 3 - 4 - 5 + 28*x - 44*x**3 + 3*x**2. Let f(z) = -29*z**3 + 3*z**2 + 19*z - 8. Let u(v) = 8*f(v) - 5*w(v). Factor u(a).
-4*(a - 1)*(a + 1)*(3*a - 1)
Let k(z) = -209*z**3 - 330*z**2 - 20*z + 38 - 101*z**3 + 7. Let c(i) = 309*i**3 + 330*i**2 + 20*i - 46. Let g(x) = -5*c(x) - 6*k(x). Factor g(r).
5*(3*r + 2)**2*(7*r - 2)
Let h be ((-66)/77)/(35/(-49)). Find n such that -h*n - 3/5*n**2 + 12/5*n**3 + 9/5*n**4 + 0 = 0.
-1, 0, 2/3
Let n(k) be the second derivative of -k**4/24 + 7*k**3/6 - 49*k**2/4 + 30*k. Factor n(t).
-(t - 7)**2/2
Let b(t) be the first derivative of -t**5/5 - 7*t**4/4 - 7*t**3/3 + 15*t**2/2 - 114. Factor b(u).
-u*(u - 1)*(u + 3)*(u + 5)
Let v(f) be the first derivative of -f**5/30 + 95*f**4/24 - 133*f**3 + 1633*f**2/3 - 2116*f/3 + 291. Determine o, given that v(o) = 0.
1, 2, 46
Let v = 7 + -5. Let w(h) = -h**2 + 6*h - 6. Let g be w(3). Solve -4*c**2 + g*c**v + 2 - 2*c + 3*c = 0 for c.
-1, 2
Let i(o) be the third derivative of -o**8/1008 - o**7/315 + o**6/360 + o**5/90 + 33*o**2. Let i(v) = 0. Calculate v.
-2, -1, 0, 1
Suppose 0 = -2*w + 3*r - 2, 5*w + 5*r - 25 = -5. Let s be w/6 - 20/(-12). Factor 5/3*i**2 - s + 13/3*i.
(i + 3)*(5*i - 2)/3
Let t(u) be the first derivative of 25*u**5/12 - 25*u**4/12 + 5*u**3/6 + 3*u**2 - 8. Let r(k) be the second derivative of t(k). Suppose r(i) = 0. What is i?
1/5
Suppose 0 = -4*i + 3*i. Let b be 1 - ((-3)/1 + i). Factor 13*v**2 - b + v + 5*v**3 - 5*v**2 + 2.
(v + 1)**2*(5*v - 2)
Let m(y) be the second derivative of -y**6/150 - 4*y**5/25 + 3*y**4/10 + 8*y**3/15 - 17*y**2/10 - 3*y + 15. What is j in m(j) = 0?
-17, -1, 1
Suppose 40 + 17*s + 27*s**3 + 3*s - 10*s**2 - 32*s**3 = 0. What is s?
-2, 2
Suppose 3*v + 5*p = 25, -v + 3*p = 2*p - 19. Suppose 0 = -7*a + 2*a + v. Let 6*r - 3 + 0*r**2 + 1 + 2*r**a - 6*r**2 = 0. Calculate r.
1
Find c, given that 0 + 11/2*c**2 + 5/4*c**3 + 4*c - 1/4*c**4 = 0.
-2, -1, 0, 8
Let w(u) = u**3 - 7*u**2 - u + 15. Let v be w(7). Let t be -2 + (-1 - 0) + -5 + v. Factor t - 3/5*l**2 - 3/5*l.
-3*l*(l + 1)/5
Let g(l) be the second derivative of -13*l - 1/20*l**5 + 0*l**3 + 0 + 2*l**2 - 1/4*l**4. Factor g(f).
-(f - 1)*(f + 2)**2
Let k(i) be the first derivative of -2/15*i**3 - 1/2*i**2 + 1 + 0*i + 1/20*i**4 - 1/150*i**5. Let x(b) be the second derivative of k(b). Factor x(f).
-2*(f - 2)*(f - 1)/5
Let y(q) = -6 - 58*q - 12 - 6 + 2 + 76*q**2 - 23*q**3. Let w(l) = 47*l**3 - 151*l**2 + 115*l + 43. Let m(t) = -2*w(t) - 5*y(t). Factor m(n).
3*(n - 2)**2*(7*n + 2)
Let f(k) be the second derivative of -k**6/90 + 7*k**3/6 + 5*k. Let o(r) be the second derivative of f(r). Factor o(p).
-4*p**2
Suppose -26 = 94*j - 107*j. Let x(a) be the second derivative of 1/8*a**4 - 3/4*a**j - 1/40*a**5 + 10*a + 1/12*a**3 + 0. Factor x(b).
-(b - 3)*(b - 1)*(b + 1)/2
Let w(u) = -9*u**2 - 5*u - 3. Let c(j) = -8*j**2 - 4*j - 2. Let k(g) = -g**2 - 7*g - 9. Let a be k(-4). Let 