**2 + v. Let u(r) = -6*p(r) - 3*t(r). Solve u(n) = 0 for n.
-1/3, 0, 1
Determine b, given that -9*b**4 - 3*b**5 + 2*b**4 - 29*b**3 + 7*b**2 + 32*b**3 + 2*b - 2*b**5 = 0.
-1, -2/5, 0, 1
Solve 0 + 0*i - 2/3*i**2 + 8/3*i**3 - 8/3*i**5 + 2/3*i**4 = 0.
-1, 0, 1/4, 1
Let p(n) = n**5 + n**3 + n**2 - n + 1. Let j(m) = 5*m**5 + 5*m**4 + 4*m**3 + 6*m**2 - 6*m + 7. Let r(b) = -5*j(b) + 35*p(b). Suppose r(k) = 0. Calculate k.
-1/2, 0, 1
Factor 4/5*h + 4/5 + 1/5*h**2.
(h + 2)**2/5
Factor 2/7*g**2 + 8/7 + 8/7*g.
2*(g + 2)**2/7
Let c(g) be the first derivative of -2*g**5/5 + g**4 + 2. Find p, given that c(p) = 0.
0, 2
Let h(w) = 12*w**3 + 10*w**2 - 11. Let f = 3 + 0. Let y(i) = -i**f - i**3 + 1 + i**2 + i**3 - 2*i**2. Let k(r) = 2*h(r) + 22*y(r). Factor k(l).
2*l**2*(l - 1)
Let g(s) be the first derivative of s**6/120 - s**5/60 - s**4/24 + s**3/6 - 5*s**2/2 - 3. Let t(y) be the second derivative of g(y). Factor t(m).
(m - 1)**2*(m + 1)
Solve -2*l**2 + 0*l**3 - 2*l + 2*l**4 + l**3 + l**3 = 0 for l.
-1, 0, 1
Let y = 7 - 20/3. Determine f so that 1/3*f**5 - 2/3*f**3 + 2/3*f**2 + 1/3*f - y*f**4 - 1/3 = 0.
-1, 1
What is x in -5*x**4 + 0*x**2 - 7*x**4 - 12*x**2 + 4*x - 8*x**2 + 28*x**3 = 0?
0, 1/3, 1
Let l(y) be the third derivative of 289*y**5/75 + 34*y**4/15 + 8*y**3/15 - 3*y**2. Find v such that l(v) = 0.
-2/17
Determine m, given that -2*m**2 - 8/3 + 1/3*m**3 + 4*m = 0.
2
Let u(h) be the third derivative of -h**6/150 - h**5/150 + h**4/30 + h**3/15 - 18*h**2. Factor u(x).
-2*(x - 1)*(x + 1)*(2*x + 1)/5
Let l(v) be the third derivative of v**8/6720 - v**7/1680 + v**5/60 + 4*v**2. Let j(k) be the third derivative of l(k). Factor j(w).
3*w*(w - 1)
Let m(x) be the third derivative of 1/18*x**4 - 7*x**2 + 0*x + 0 + 1/180*x**5 + 1/6*x**3. Let m(i) = 0. What is i?
-3, -1
Let f(j) = 2*j**2 - 2*j - 9. Let b(n) = -9 + 3*n**2 - 2 - 6 - 3*n + 3. Let c(z) = 5*b(z) - 8*f(z). Determine l so that c(l) = 0.
-1, 2
Suppose 4*d + 23 = 31. Factor -w**2 + 27 - w**3 - d*w**2 - 23.
-(w - 1)*(w + 2)**2
Let t(y) be the first derivative of -5*y**4/6 + 4*y**3/9 + 25. Factor t(f).
-2*f**2*(5*f - 2)/3
Factor 8/3*z + 1/3*z**2 + 16/3.
(z + 4)**2/3
Determine j so that -76/3*j + 329/3*j**2 - 446/3*j**3 + 63*j**4 + 4/3 = 0.
2/27, 2/7, 1
Let v(f) = -f**2 - 6*f - 1. Let o be v(-5). Let 25*t**5 - 10*t**5 - 16*t**5 + 25*t**2 + 7*t**4 - 19*t**3 + o - 16*t = 0. Calculate t.
1, 2
Suppose 0*q = 2*q - 4. Solve 1 + 31*n**4 + 0 - q*n**2 - 30*n**4 = 0 for n.
-1, 1
Let c(f) be the first derivative of -f**3/5 + 3*f/5 + 7. Solve c(i) = 0.
-1, 1
Let q(n) = -1. Let j(r) = 4. Let k(i) = -j(i) - 5*q(i). Let c(y) = 3*y**2 + 9*y - 6. Let p(o) = -c(o) - 12*k(o). Solve p(x) = 0 for x.
-2, -1
Let v(x) = x**3 - x**2 + 4*x + 1. Let g be v(3). Let q = -29 + g. Solve -4/3*i - 4/3 - 1/3*i**q = 0 for i.
-2
Suppose 0 = -4*t + z + 11, 0*t = -5*t - 4*z - 2. Let f be ((-3)/(-21))/(t/7). Factor -f*b**2 - 2 + 2*b.
-(b - 2)**2/2
Let k = -138 + 139. Let l(j) be the first derivative of 9/2*j**2 - k + 3*j**5 - 9/4*j**4 - 7*j**3 + 6*j. Find x, given that l(x) = 0.
-1, -2/5, 1
Let m(v) be the first derivative of v**6/6 - 7*v**5/20 + v**4/8 + v**3/12 + 5. Solve m(n) = 0.
-1/4, 0, 1
Let i be (-2)/6*(-4)/6. Factor -2/9*h**2 + 4/9*h - i.
-2*(h - 1)**2/9
Solve 0 - 1/9*b**2 - 2/9*b + 1/9*b**4 + 1/3*b**3 - 1/9*b**5 = 0 for b.
-1, 0, 1, 2
Suppose -9 = 4*r - 4*d + 3, -3*r + 5*d - 13 = 0. Let v(y) = -2*y**3 + y**2. Let q be v(r). What is s in 0*s**4 - 2/7*s + 4/7*s**q + 0*s**2 + 0 - 2/7*s**5 = 0?
-1, 0, 1
Let y(d) be the third derivative of d**6/180 + d**5/30 + d**4/12 + d**3/9 - 13*d**2. Solve y(w) = 0.
-1
Let z be 4/(-6) - 216/(-243). Factor 2/9*v**3 - 2/3*v**2 - 2/9*v + z*v**4 + 4/9.
2*(v - 1)**2*(v + 1)*(v + 2)/9
Factor -16*b**2 - 13*b**2 + 2*b**2 - 9*b**2 + 4*b**3 - 108 + 108*b.
4*(b - 3)**3
Let v(p) be the first derivative of 6*p**5/5 + 21*p**4/8 + p**3 - 3*p**2/4 + 8. Factor v(b).
3*b*(b + 1)**2*(4*b - 1)/2
Determine o, given that -o**2 + 3*o**2 - o**2 + 2*o + o**2 = 0.
-1, 0
Let b be 4 + (-3 - -6 - 4). Let d be 23/23 - 2/b. Factor -2/3*l**2 + 1/3*l + d*l**3 + 0.
l*(l - 1)**2/3
Let i(x) be the first derivative of x**8/3360 + x**7/1680 - x**6/720 - x**5/240 - x**3 - 3. Let m(y) be the third derivative of i(y). Factor m(j).
j*(j - 1)*(j + 1)**2/2
Let z(x) = 5*x**5 - 11*x**4 + 15*x**3 + 9*x**2 - 7*x + 7. Let d(b) = -2*b**5 + 5*b**4 - 7*b**3 - 5*b**2 + 3*b - 3. Let s(f) = 7*d(f) + 3*z(f). Factor s(o).
o**2*(o - 2)*(o + 2)**2
Let f be 8/(-12)*1*-3. Suppose -4*o + f*y + 12 = 0, 4*o - 4*y = -y + 14. Factor -10/3*g - 4/3 - o*g**2.
-2*(g + 1)*(3*g + 2)/3
Let u(s) = 3*s**5 - 2*s**4 - 2*s**3 - 7*s**2 - 7*s. Let z(m) = -m**4 - m**2 - m. Let y(k) = 5*u(k) - 35*z(k). Determine i so that y(i) = 0.
-2, 0, 1/3
Let n(x) be the first derivative of -243*x**4/20 - 36*x**3/5 - 6*x**2/5 + 8. Factor n(h).
-3*h*(9*h + 2)**2/5
Let o(q) be the first derivative of -q**7/60 - q**6/405 + q**5/135 + 4*q**3/3 - 3. Let z(j) be the third derivative of o(j). Factor z(l).
-2*l*(7*l + 2)*(9*l - 2)/9
Let q be (51/(-30) - -2)*5/6. Solve 0 + 1/4*d**5 + d**2 + q*d + 3/2*d**3 + d**4 = 0 for d.
-1, 0
Let o(h) = -h**3 - 15*h**2 - 13*h + 16. Let k be o(-14). What is l in 121/2*l**k - 22*l + 2 = 0?
2/11
Let j(b) = -64*b**2 + 4*b. Let c(u) = 16*u**2 - u. Let a(l) = -18*c(l) - 4*j(l). Solve a(q) = 0.
0, 1/16
Let q(f) be the first derivative of 25*f**4/4 - 10*f**3/3 - 65*f**2/2 - 30*f - 9. Factor q(n).
5*(n - 2)*(n + 1)*(5*n + 3)
Suppose 3*r + 15 = 0, -37 = -x + 5*r - 8. Let y(i) be the first derivative of 2 + 0*i**3 + 2/25*i**5 + 1/5*i**x - 2/5*i**2 - 2/5*i. Solve y(b) = 0 for b.
-1, 1
Let m(k) be the first derivative of -k**3 - 15*k**2/2 - 12*k + 7. Suppose m(y) = 0. Calculate y.
-4, -1
Let u = -52 + 56. Let 0*w - 1/5*w**2 + 1/5*w**5 + 0 + 1/5*w**u - 1/5*w**3 = 0. Calculate w.
-1, 0, 1
Let m(s) = -s - 1 + 6 - 4. Let k be m(-2). Let 2*j**2 - 2*j - 1 - 2*j**k + 4*j**3 - 1 = 0. Calculate j.
-1, 1
Let y(u) = 4*u**4 - 4*u**3 + 8*u**2 - 2*u. Let r(m) = -m**4 + m**3 - m**2. Let d(g) = -6*r(g) - y(g). Find f such that d(f) = 0.
-1, 0, 1
Solve 3/2 + 39/4*l**2 - 45/4*l = 0 for l.
2/13, 1
Let o be -1*(-3)/(-9) - (-7)/7. Let n be 2 + -4 - (-20)/6. Determine u, given that 0*u + 0 - o*u**4 - n*u**3 + 2/3*u**2 + 4/3*u**5 = 0.
-1, 0, 1/2, 1
Let x(a) be the third derivative of a**5/300 + a**4/60 + a**3/30 - 2*a**2. Find z, given that x(z) = 0.
-1
Let y(p) = p. Let k(u) = -u + 1. Let m(j) = 3*j**2 + 9*j + 2. Let c(a) = -k(a) + m(a). Let q(r) = c(r) - 6*y(r). Find o such that q(o) = 0.
-1, -1/3
Let i(m) be the first derivative of -m**6/90 + m**5/60 + 3*m - 3. Let q(w) be the first derivative of i(w). Factor q(n).
-n**3*(n - 1)/3
Let p(g) be the first derivative of -g**6/120 - g**5/20 - g**4/8 - g**3/6 + g**2 + 2. Let s(w) be the second derivative of p(w). Factor s(d).
-(d + 1)**3
Suppose -2*t - 1 + 2 = -a, -3 = -t + 3*a. Let z(k) be the third derivative of 1/30*k**5 + 1/6*k**4 + 2*k**2 + t*k + 0 + 1/3*k**3. Find b, given that z(b) = 0.
-1
Suppose -17 = 4*w + 3. Let r be (-1)/w - 72/(-40). Let -7*j**5 - j + 4*j**5 + 2*j**2 - 4*j**r + 4*j**5 + 2*j**4 = 0. Calculate j.
-1, 0, 1
Let y(h) = -13*h + 12*h + 1 - 2. Let c(i) = 2*i**4 - 6*i**3 + 4*i**2 - 6*i - 6. Let o(t) = -c(t) + 6*y(t). Factor o(p).
-2*p**2*(p - 2)*(p - 1)
Let p(g) be the second derivative of 3/10*g**5 + 0*g**2 + 0 - 5*g + 0*g**3 + 1/10*g**6 + 1/4*g**4. Suppose p(w) = 0. Calculate w.
-1, 0
Let j(c) = -c**4 - c**3 - c**2 - c + 1. Let g(l) = -12*l**4 + 3*l**3 - 3*l**2 - 45*l - 18. Let s(z) = -g(z) + 9*j(z). Solve s(d) = 0.
-1, 3
Suppose 0 = 5*p - 4*p - 9. Let a be 2/4 - p/(-6). Factor 0*m + 1/3*m**a - 1/3.
(m - 1)*(m + 1)/3
Find o, given that -1/2*o**2 + 2*o + 0 = 0.
0, 4
Suppose 2*k = -3*k. Let p(d) be the second derivative of 1/10*d**4 + 2/15*d**3 - 2*d + 0 + k*d**2. Factor p(h).
2*h*(3*h + 2)/5
Let b be (3/10)/(6/16). Let p = 1/519 + 1033/2595. Let -p*d**3 + 0 - 2/5*d - b*d**2 = 0. Calculate d.
-1, 0
Let t(r) = r**3 - 5*r**2 + 2*r + 5. Let p be t(4). Let s = p - -6. Factor 1/2*x + 1/2*x**s + x**2 + 0.
x*(x + 1)**2/2
Let n(x) be the third derivative of x**7/168 - x**6/16 + 13*x**5/48 - 5*x**4/8 + 5*x**3/6 + 7*x**2. Factor n(t).
5*(t - 2)**2*(t - 1)**2/4
Let o be (-6)/(-12)*4*1. What is r in 0*r + 2/11*r**o - 2/11 = 0?
-1, 1
Let j(n) be the 