*2 - d**5 - 3/2*d**4 + 9/2*d**3 = 0 for d.
-3, -1/2, 0, 1
Let s(c) be the third derivative of -c**8/560 + 3*c**6/200 - c**5/50 - 18*c**2. Factor s(v).
-3*v**2*(v - 1)**2*(v + 2)/5
Let v(w) = w - 1. Let k = -3 - -6. Let f be v(k). Find u, given that -f*u + 62/11*u**3 - 40/11*u**5 - 14/11*u**4 + 4/11 + 10/11*u**2 = 0.
-1, 1/4, 2/5, 1
Let d(s) be the first derivative of s**6/720 + s**5/240 - s**3/3 + 3. Let n(q) be the third derivative of d(q). Determine y so that n(y) = 0.
-1, 0
Let z(v) be the second derivative of v**4/78 + 3*v. Factor z(u).
2*u**2/13
Let b = 11 + -2. Let x = b + 7. What is r in 0*r**2 - 7*r**3 - 5*r**3 + 2*r**2 + x*r**4 = 0?
0, 1/4, 1/2
Let i(g) = -g**4 + g**3 - g + 1. Let q(s) = -6*s**4 - 15*s**3 + 15*s**2 + 9*s - 3. Let o(b) = 3*i(b) + q(b). Determine d so that o(d) = 0.
-2, -1/3, 0, 1
Factor 4/7*r + 16/7 + 2/7*r**3 - 10/7*r**2.
2*(r - 4)*(r - 2)*(r + 1)/7
Let d = 1273/22890 + 1/654. Let c(s) be the third derivative of 0*s**4 + 0 - 1/48*s**8 - 1/40*s**6 + 3*s**2 + d*s**7 - 1/30*s**5 + 0*s + 0*s**3. Factor c(i).
-i**2*(i - 1)**2*(7*i + 2)
Factor -4/13*i**3 + 0 + 0*i**2 + 0*i - 6/13*i**5 - 10/13*i**4.
-2*i**3*(i + 1)*(3*i + 2)/13
Let k = -40 + 122/3. Factor 1/3*x**3 + k - 2/3*x**2 - 1/3*x.
(x - 2)*(x - 1)*(x + 1)/3
Let q be (2/20)/((-8)/(-16)). Factor 0 - 1/5*a**2 + q*a.
-a*(a - 1)/5
Suppose 2*s - 16 = -4*t, 6 = 4*t - 6. Let -2*a - 2 - 1/2*a**s = 0. What is a?
-2
Let z = 94 - 91. Factor b + 1/4 - b**z - 1/4*b**2.
-(b - 1)*(b + 1)*(4*b + 1)/4
Let n(s) be the second derivative of s**7/98 + 2*s**6/35 + 3*s**5/35 - s**4/14 - 5*s**3/14 - 3*s**2/7 - 6*s. Solve n(b) = 0.
-2, -1, 1
Let c(l) = -l**3 - 5*l**2 + 7*l + 9. Let p be c(-6). Solve 2*v**2 - 1 + 2 + 1 - v - p*v = 0.
1
Let j(w) = 6*w**3 + 4*w**2 - 6*w + 8. Let v(u) = -13*u**3 - 9*u**2 + 12*u - 17. Let n(r) = 9*j(r) + 4*v(r). Factor n(i).
2*(i - 1)**2*(i + 2)
Let c(j) = 2*j - 3. Let k be c(3). Factor -2*m - m + 4*m**2 - 4*m**2 + k*m**2.
3*m*(m - 1)
Let d(s) be the first derivative of -5/16*s**5 - 2*s + 2 - 35/24*s**4 - 11/6*s**3 - s**2. Let o(r) be the first derivative of d(r). Find l, given that o(l) = 0.
-2, -2/5
Suppose 23 + 27 = 5*c. Let q = -8 + c. What is m in 0 + 14/3*m**4 + 2*m**q - 4/3*m + 8*m**3 = 0?
-1, 0, 2/7
Let n(z) = -4*z**4 + 13*z**3 - 12*z**2 + z + 9. Let u(w) = -w**4 + 4*w**3 - 4*w**2 + 3. Let r(p) = -2*n(p) + 7*u(p). Suppose r(l) = 0. What is l?
-3, -1, 1
Let s(c) = -4*c**2 + 13*c - 4. Let h(x) = -x**2 + 4*x - 1. Let f(a) = 7*h(a) - 2*s(a). Factor f(y).
(y + 1)**2
Let v be (-12)/1*(-20)/420. Factor v*z - 2/7*z**2 - 2/7.
-2*(z - 1)**2/7
Let h(u) be the first derivative of u**5/5 + 13*u**4/12 + 58*u**3/27 + 2*u**2 + 8*u/9 + 11. Let h(f) = 0. Calculate f.
-2, -1, -2/3
Let p be -1*(21/18)/(-7). Let d = p - -1/2. Factor 4/3*g**4 + 2/3*g**5 + 0 + d*g**3 + 0*g**2 + 0*g.
2*g**3*(g + 1)**2/3
Let h(p) be the first derivative of 4 - 1/10*p**5 - 1/4*p**4 + 1/2*p + 1/2*p**2 + 0*p**3. Find t, given that h(t) = 0.
-1, 1
Suppose -6*u + 4 + 8 = 0. Factor 4*w**5 + 3*w + u*w**3 + 2*w**5 - 3*w**5 - 8*w**3.
3*w*(w - 1)**2*(w + 1)**2
Suppose -5*c + 3*t + 15 = 0, 0 = -0*c + c + 2*t - 3. Suppose -p + 6 = c. Suppose 2*s + 6*s**2 - 3 - s**3 + 3 + 5*s**p = 0. What is s?
-1, -1/2, 0
Let z(w) be the second derivative of w**8/168 - w**7/70 - w**6/120 + w**5/20 - w**4/24 + w**2/2 - w. Let k(f) be the first derivative of z(f). Solve k(v) = 0.
-1, 0, 1/2, 1
Factor -3*y + 0 - 3/2*y**2.
-3*y*(y + 2)/2
Let -i**2 - 2*i**2 - 48 - 32*i + 33*i + 23*i = 0. What is i?
4
Let u(f) be the third derivative of f**5/100 - f**3/10 - 10*f**2. Let u(o) = 0. Calculate o.
-1, 1
Let j be 13 + -5 + -6 - 10/8. Factor 9/4*w**2 - j*w**3 - 9/4*w + 3/4.
-3*(w - 1)**3/4
Let q(o) be the second derivative of 0 + 1/2*o**3 + 3*o - 1/7*o**4 + 3/7*o**2. Let q(z) = 0. Calculate z.
-1/4, 2
Let r(c) be the first derivative of c**6/10 - 6*c**5/25 + 2*c**3/5 - 3*c**2/10 - 30. Find u, given that r(u) = 0.
-1, 0, 1
Let l(u) be the third derivative of -u**5/360 - u**4/48 + u**3/9 - 12*u**2. Factor l(t).
-(t - 1)*(t + 4)/6
Let c be 5/2*(-156)/(-65). Suppose 2*n - 4 = c. Solve 4/7*h**4 + 0*h + 0*h**2 - 2/7*h**n + 0 - 2/7*h**3 = 0.
0, 1
Let b(y) be the third derivative of -y**6/6 + 8*y**5/15 - y**4/6 - 4*y**3/3 + y**2. Determine a so that b(a) = 0.
-2/5, 1
Let x(u) = -u**3 - u**2 + 2*u + 1. Let w be x(-1). Let n(h) = -h**2 + 5*h + 5. Let y(t) = t + 1. Let b(s) = w*n(s) + 5*y(s). Factor b(l).
l**2
Let 0 - 2/5*o**3 - 2/5*o**4 + 0*o**2 + 0*o = 0. Calculate o.
-1, 0
Let k = -6 + 8. Suppose -k*l + 6*l = 0. Factor -6/5*n**2 + 2/5*n + l.
-2*n*(3*n - 1)/5
Factor -4/3*q + 8/3*q**3 + 14/3*q**2 + 0.
2*q*(q + 2)*(4*q - 1)/3
Let w(a) be the third derivative of -5*a**8/336 + a**7/21 + a**6/8 - 53*a**2. Factor w(u).
-5*u**3*(u - 3)*(u + 1)
Let t be 50/63 + 18/(-81). Let -4/7*b**3 + 0 + 18/7*b**4 + t*b - 18/7*b**2 = 0. What is b?
-1, 0, 2/9, 1
Let a(n) = 2*n**3 - 12*n**2 + 10. Let r(h) = 3*h + h**2 - h - 2*h - 1. Let y(k) = a(k) + 10*r(k). Factor y(q).
2*q**2*(q - 1)
Let k be 1*2 + 3/15*5. Let m(j) be the third derivative of 0*j + 1/108*j**4 + 1/270*j**5 - j**2 + 0 + 0*j**k. Let m(q) = 0. Calculate q.
-1, 0
Let t(c) = -c**5 - c**2 + c - 1. Let v = 3 + -2. Let w(b) = 2*b**5 + 9*b**4 - 6*b**3 - b**2 + 4*b + 2. Let l(h) = v*w(h) + 5*t(h). Factor l(g).
-3*(g - 1)**4*(g + 1)
Let f = 1324976/7 + -188848. Determine s, given that -736/7*s - 98*s**5 - 476*s**4 - f*s**2 - 64/7 - 752*s**3 = 0.
-2, -2/7
Let p(b) be the first derivative of 0*b - 2/39*b**3 + 10 + 3/13*b**2. Find v such that p(v) = 0.
0, 3
Let m(o) be the third derivative of o**7/420 - o**6/180 - o**3/3 - 5*o**2. Let s(d) be the first derivative of m(d). Determine l so that s(l) = 0.
0, 1
Suppose 48 = -8*f + 24*f. Let b(r) be the third derivative of 1/12*r**4 - 1/105*r**7 + 0*r + 0*r**f - 1/10*r**5 + 0 + 1/20*r**6 + 4*r**2. Factor b(v).
-2*v*(v - 1)**3
Suppose 2*x = 0, -2*c - 2*x + 3 = -c. Factor -3*z**3 - 4 - z**c + 4*z - 2*z**2 + 6.
-2*(z - 1)*(z + 1)*(2*z + 1)
Let 8/17 - 10/17*a**3 - 2/17*a**4 + 10/17*a - 6/17*a**2 = 0. Calculate a.
-4, -1, 1
Suppose -8 = -15*p + 22. Find t, given that 0 + 1/4*t + 1/4*t**p - 1/2*t**3 = 0.
-1/2, 0, 1
Let n = 4 - 2. Let u(h) be the second derivative of h + 1/30*h**5 + 0 + 1/3*h**3 - 1/3*h**n - 1/6*h**4. What is g in u(g) = 0?
1
Factor -4/3*i + 0 + i**4 - 11/3*i**3 + 4*i**2.
i*(i - 2)*(i - 1)*(3*i - 2)/3
Let -1/2*k + 1/4*k**2 + 0 = 0. Calculate k.
0, 2
Let j = -375/2 + 188. Let f(x) be the first derivative of 3 - j*x**4 + 2/3*x**3 + 0*x**2 + 0*x. Let f(w) = 0. Calculate w.
0, 1
Suppose 0*v + 0 + 4/5*v**2 + 8/5*v**4 - 2/5*v**5 - 2*v**3 = 0. Calculate v.
0, 1, 2
Let j be 6/15 - 2/5. Solve -3*g + 4*g + j*g**2 + g**2 = 0 for g.
-1, 0
Suppose 2*c - 16 = -h, 4*c + c - h - 40 = 0. Factor -7*l**4 - 4*l - 3*l**4 - 4*l - c*l**3 - 2 + 8*l**4 - 12*l**2.
-2*(l + 1)**4
Let j(q) be the second derivative of -3*q**5/20 + 13*q**4/12 - 8*q**3/3 + 2*q**2 - 2*q. Factor j(k).
-(k - 2)**2*(3*k - 1)
Suppose h - t + 4 = t, 2*h - 2*t = 0. Suppose 1 = -4*f - d, -f - 5*d - 5 = 3*f. Solve 0*b + 0*b**3 - 5/3*b**5 + 2/3*b**h + 0*b**2 + f = 0.
0, 2/5
Let j = -4 + 4. Suppose l - 7*l = j. Solve 3*o**3 + 0*o + 0 - 3/2*o**4 + l*o**2 = 0.
0, 2
Let u be (6 + -2 + -3)*2. Let -6*v**2 + 8*v**3 + v**4 - 1 - 4*v**3 - u*v**4 + 0*v**4 + 4*v = 0. Calculate v.
1
Solve -24*f + 24*f - 5*f**3 - 20*f**2 = 0 for f.
-4, 0
Let v(o) be the first derivative of 0*o - 1/6*o**2 - 1/9*o**3 + 2. Solve v(b) = 0 for b.
-1, 0
Let v(p) be the first derivative of 32*p**5/5 + 5*p**4 + 4*p**3 + 4. Let m(t) = -13*t**4 - 8*t**3 - 5*t**2. Let q(i) = -12*m(i) - 5*v(i). Solve q(k) = 0 for k.
-1, 0
Let i(k) be the first derivative of -k**4/16 + k**3/12 + k**2/4 + 8. Let i(d) = 0. Calculate d.
-1, 0, 2
Suppose -2*l - m = -5, 0 = -3*l - 2*m + 5*m + 21. Factor 0*y**l + 0*y**2 + 4/9*y**3 + 0 - 2/9*y**5 - 2/9*y.
-2*y*(y - 1)**2*(y + 1)**2/9
Let h be (3/(-15))/(108/(-20)). Let s = h - -17/27. Suppose -8/9*r**3 + s*r**2 + 2/9*r**4 + 8/9*r - 8/9 = 0. What is r?
-1, 1, 2
Let c be (-6 + 81/15)/(-3). Factor -2/5 + 1/5*f**2 - c*f.
(f - 2)*(f + 1)/5
Factor 0*u + 1/2*u**2 + 1/2*u**4 + 0 - u**3.
u**2*(u - 1)**2/2
Determine s so that 3*s**2 + 10*s**3 - 17*s**4 + s**2 - 4*s**3 + 19*s**4 = 0.
-2, -1, 0
Let -20 - 32*o**2 - 16*o**3 + 76*o + 26*o**2 - 58*o