**2 - 2*x**4 - i*x**4 + 6*x**3.
x*(x - 1)**4
Determine h so that -21*h - 6*h**2 + 24 + h**2 + 3*h**2 - h**2 = 0.
-8, 1
Let s be (-1)/20*(4 + -12). Factor 1/5*h**5 + 0 + 1/5*h**3 + s*h**4 + 0*h**2 + 0*h.
h**3*(h + 1)**2/5
Let m(d) be the second derivative of -1/3*d**2 - 1/18*d**4 + 0 - 2*d - 2/9*d**3. Find s, given that m(s) = 0.
-1
Let j(k) be the third derivative of 0*k**5 + 0 + 0*k**4 + 1/315*k**7 + 0*k + 0*k**3 + 3*k**2 - 1/360*k**6 + 1/336*k**8. Factor j(u).
u**3*(u + 1)*(3*u - 1)/3
Let v = -350943/124 + 11323/4. Let b = v - 2/31. Let -b + a**3 + 0*a + 3/2*a**2 = 0. What is a?
-1, 1/2
Let i = 237/28 + -47/7. Let s = -481/4 + 121. Factor -i*f**3 + 7/4*f - 1/2 - s*f**2 + 5/4*f**4.
(f - 1)**2*(f + 1)*(5*f - 2)/4
Suppose -17 = -3*l - 8. What is t in 3*t + 1/2*t**2 + 8*t**4 - 12*t**l + 1/2 = 0?
-1/4, 1
Factor 0 - 2/9*t**5 + 0*t**3 - 4/9*t**2 + 4/9*t**4 + 2/9*t.
-2*t*(t - 1)**3*(t + 1)/9
Let a(n) be the third derivative of n**7/210 - n**6/120 - n**5/60 + n**4/24 - 14*n**2. Let a(u) = 0. Calculate u.
-1, 0, 1
Determine r so that 0 - 2/7*r**2 + 2/7*r = 0.
0, 1
Let z(a) be the second derivative of a**5/2 + a**4/2 - 2*a**3/3 + 8*a. Factor z(r).
2*r*(r + 1)*(5*r - 2)
What is j in -2/13*j**3 + 8/13*j**2 + 64/13 + 56/13*j = 0?
-2, 8
Factor -5/4*m**3 + 0*m + 0*m**2 + 5/4*m**5 + 0*m**4 + 0.
5*m**3*(m - 1)*(m + 1)/4
Let u(b) be the second derivative of -b**6/3 - 9*b**5/10 + 13*b**4/15 + 12*b**3/5 + 8*b**2/5 - 4*b. What is y in u(y) = 0?
-2, -2/5, 1
Determine t, given that 2*t**3 + 57*t - 57*t + 8 - 6*t**2 = 0.
-1, 2
Let z = 1161/5 - 232. Factor z*r + 0 + 1/5*r**2.
r*(r + 1)/5
Suppose -o + 25 = -2. Factor -12*v**3 + o*v - 20*v**2 - 6*v + 5*v**2 + 6.
-3*(v - 1)*(v + 2)*(4*v + 1)
Let y(b) be the third derivative of 5*b**2 - 4/3*b**3 + 0 + 7/30*b**5 + b**4 + 0*b. Factor y(x).
2*(x + 2)*(7*x - 2)
Let t(c) be the first derivative of -2*c**5/35 - c**4/14 + 16. Let t(l) = 0. What is l?
-1, 0
Suppose 0*s + 3*s = -4*v + 5, -4*v - 2*s + 6 = 0. Determine g, given that 2/7 - 2/7*g**v + 0*g = 0.
-1, 1
Let d(z) be the third derivative of -z**5/30 + z**4/6 + z**3 - 6*z**2. Solve d(j) = 0.
-1, 3
Let p(b) be the third derivative of -b**8/168 - 2*b**7/105 + b**5/15 + b**4/12 + b**2 + 7. Determine o, given that p(o) = 0.
-1, 0, 1
Let n = 74/35 + -106/315. Let -2/9*v**3 - 8/9 - n*v - 10/9*v**2 = 0. Calculate v.
-2, -1
Let w(n) = -n**2 - 6*n. Let z be w(-6). Factor -2/9*s**4 - 2/9*s**5 + z*s**3 + 0*s**2 + 0 + 0*s.
-2*s**4*(s + 1)/9
Let f be -1 + 2 - (-1 + 0). Suppose -d = -f*d + 4. Determine a, given that -a + a**3 + d*a + 3*a**2 - 1 + 2 = 0.
-1
Let f = -1194 - -53734/45. Let v(s) be the third derivative of -f*s**6 + 4/45*s**5 + 1/9*s**3 + 0 + 0*s + 7/36*s**4 + 3*s**2. Determine r so that v(r) = 0.
-1/4, 1
Determine y so that -3*y**3 - 6/7*y + 0 - 27/7*y**2 = 0.
-1, -2/7, 0
Suppose -3*d + 0 + 12 = 0. Suppose -5 = -2*n + x, -x - 5 = d*n - 30. Determine v, given that 2/5*v + 4/5*v**2 - 4/5*v**3 - 2/5*v**4 - 2/5 + 2/5*v**n = 0.
-1, 1
Let k = -16 + 17. Let v(d) be the first derivative of d**3 - 4/5*d**5 + d + k - 5/4*d**4 + 5/2*d**2. Let v(w) = 0. What is w?
-1, -1/4, 1
Let t(p) = 5*p**2 + 0*p + 8 - 5*p**3 + 3 - 11*p. Let c(j) = 2*j**3 - 2*j**2 + 4*j - 4. Let y(n) = -8*c(n) - 3*t(n). Factor y(l).
-(l - 1)**2*(l + 1)
Let t(j) = j**2 - 11*j. Let r be t(12). Solve -b**4 + 1 - 6*b + 4*b**3 - 10 + 2*b**3 + r*b**2 - 2*b**4 = 0 for b.
-1, 1, 3
Let m be (7 - 2)*18/30. Solve -39/7*s**2 - 15/7*s**m + 12/7 - 12/7*s = 0.
-2, -1, 2/5
Suppose 0 = 10*w - 46 + 6. Determine j so that 32/3*j**w - 2/3 - 10*j**2 + 16/3*j - 16/3*j**3 = 0.
-1, 1/4, 1
Let p(a) be the second derivative of -2*a - 1/50*a**5 - 1/30*a**4 + 1/75*a**6 + 1/15*a**3 + 0 + 0*a**2. Factor p(n).
2*n*(n - 1)**2*(n + 1)/5
Let j be (8 + -2)*(-4 - -3). Let k = 18 + j. Factor k*i**2 + i**4 + 2 + 8*i + 9*i**3 + i**4 - i**3.
2*(i + 1)**4
Suppose -r + 0*r - 5*g - 13 = 0, 5 = -2*r - 3*g. Suppose 4*c - c = -5*h + 11, 5*h - 1 = r*c. Factor 0 - 2/3*f - 4/3*f**c - 2/3*f**3.
-2*f*(f + 1)**2/3
Suppose -g + 5*g - 16 = 0. Let w be -4 + g - (-2 - -1). Factor 6*n**2 - 4*n + 1 + w - 4*n**2.
2*(n - 1)**2
Let j = 1227/2 + -625. Let r = 12 + j. Let -r*u**4 + u**2 + 1/4*u**5 - 3/4*u**3 + 0 + u = 0. Calculate u.
-1, 0, 2
Let d(w) = w**3 - 8*w**2 - w - 1. Let g be d(8). Let a be (-6)/g*(-2 + 5). Let -4*c**2 + 10*c**3 - 3*c**4 - 10*c**5 + 5*c**4 + a*c**4 = 0. Calculate c.
-1, 0, 2/5, 1
Let 0 + 0*o**2 + 8/9*o**3 + 20/9*o**4 + 8/9*o**5 + 0*o = 0. Calculate o.
-2, -1/2, 0
Let x = 70 + -66. Determine b, given that -1/2*b + b**2 - 1/2*b**5 - 1/2*b**x - 1/2 + b**3 = 0.
-1, 1
Let d(l) be the first derivative of 2/3*l**2 - 79/12*l**4 - 14/5*l**5 + 4/3*l - 1 - 37/9*l**3. Let d(u) = 0. Calculate u.
-1, -2/3, -1/2, 2/7
Suppose -154*t + 12 = -148*t. Factor 0 + 1/4*c**t + 1/4*c**3 + 0*c.
c**2*(c + 1)/4
Let l be -1*(0 - 2) - 10. Let m = -5 - l. Factor -3*t - 2*t + 4*t**m - 2*t**2 + 4*t - 5*t**3.
-t*(t + 1)**2
Let c(f) = f + 14. Let m be c(-8). Suppose 0 = 3*k - k - m. Suppose -k + 2*b**2 - 1 + 2 = 0. What is b?
-1, 1
Let y(u) = -u**3 + u**2 - u + 2. Let d be y(0). Solve -4 - 3*z**2 + z + 5*z**d - 3*z = 0 for z.
-1, 2
Let u be (-2)/(-6) - (-366)/(-18). Let i = u - -23. Factor 2/3*j**5 + 0*j**4 - 4/3*j**2 + 0 + 0*j - 2*j**i.
2*j**2*(j - 2)*(j + 1)**2/3
Let g(v) = v**2 + 15*v + 14. Let b(f) = -10*f**2 - 135*f - 125. Let x(p) = -4*b(p) - 35*g(p). Solve x(a) = 0.
-2, -1
Let l(y) be the second derivative of 13*y**6/180 - 7*y**5/30 + 17*y**4/72 - y**3/18 - 5*y. Factor l(u).
u*(u - 1)**2*(13*u - 2)/6
Let z be ((-6)/(-6))/((-20)/(-16) - -1). Solve 2/9*m**2 - 2/9*m - z = 0.
-1, 2
Let c(i) be the first derivative of -i**5/30 + i**4/27 + i**3/27 - 5*i + 6. Let v(d) be the first derivative of c(d). Determine w so that v(w) = 0.
-1/3, 0, 1
Solve 30 + 276/5*a**2 + 6/5*a**4 - 72*a - 72/5*a**3 = 0.
1, 5
Let c be (3/(-30))/((-2)/5). Let f = 1/60 - -7/30. Factor -1/4*v**2 + 0 - 1/4*v**3 + f*v + c*v**4.
v*(v - 1)**2*(v + 1)/4
Let o = 43 + -41. Let d(q) be the third derivative of 2*q**o - 1/420*q**7 + 0 + 1/672*q**8 - 1/240*q**6 + 0*q**4 + 0*q + 0*q**3 + 1/120*q**5. Factor d(y).
y**2*(y - 1)**2*(y + 1)/2
Let u be (-28)/(-40)*(-7)/6. Let k = -5/12 - u. Factor k*h**3 - 2/5*h + 2/5*h**2 - 2/5.
2*(h - 1)*(h + 1)**2/5
Let q(k) be the third derivative of k**8/672 + k**7/140 - k**6/40 - k**5/12 + 7*k**4/16 - 3*k**3/4 + 2*k**2 + 1. Factor q(a).
(a - 1)**3*(a + 3)**2/2
Let b(g) be the first derivative of 2*g**4 + 4*g**2 + 2 + 4*g**3 + 2/5*g**5 + 2*g. Factor b(f).
2*(f + 1)**4
Let i(n) be the second derivative of 1/18*n**4 + n + 2/9*n**3 + 0 + 1/3*n**2. Factor i(y).
2*(y + 1)**2/3
Factor -l**2 + 2*l - l**2 - 8*l.
-2*l*(l + 3)
Let j be -2 - (-3 - 2)*2. Let o be -6 + 5 - (-14)/j. Solve o*v + 0 + 3/2*v**2 + 3/4*v**3 = 0 for v.
-1, 0
Let j be ((-172)/(-6) - 3) + 3. Let v = 29 - j. Factor -1/3*c + v*c**2 + 0 - 1/3*c**4 + 1/3*c**3.
-c*(c - 1)**2*(c + 1)/3
Let z(r) = 12*r**2 - 6*r + 6. Let d = -6 + 11. Let x = -1 + d. Let l(a) = -25*a**2 + 11*a - 13. Let h(f) = x*l(f) + 9*z(f). Factor h(q).
2*(q - 1)*(4*q - 1)
Let y(c) be the second derivative of c**6/315 - c**5/210 - c**4/63 + 9*c. Factor y(d).
2*d**2*(d - 2)*(d + 1)/21
Suppose 0*l + 12 = 3*l. Suppose -l*j = j. Factor 2/9*v**2 + j*v - 2/9.
2*(v - 1)*(v + 1)/9
Let x(o) = o**2 + 3*o. Let u(s) = 4*s + s**2 - 7 + 7. Let k(b) = 5*u(b) - 7*x(b). Let m(r) = r**2 + r. Let f(i) = -2*k(i) - 3*m(i). Factor f(j).
j*(j - 1)
Let s(c) = -c**2 + 1. Let r(i) = -4*i**3 - 12*i**2 - 4*i + 4. Let w(f) = -r(f) + 4*s(f). Factor w(m).
4*m*(m + 1)**2
Suppose 0 = -38*j + 53 + 137. Solve 1 + j*w + 25/4*w**2 = 0.
-2/5
Let s(b) be the second derivative of -b**4/4 + 3*b**3/2 - 3*b**2 + 25*b. Determine f, given that s(f) = 0.
1, 2
Solve 9*i**2 - 10*i - i**2 - 5*i**2 - 2*i = 0.
0, 4
Let a(b) be the second derivative of 1/5*b**5 + 2/15*b**6 + 0 - 1/3*b**4 - 2/3*b**3 + 0*b**2 + 7*b. Find o such that a(o) = 0.
-1, 0, 1
Determine g so that 3/5*g**2 + 0 - 3/5*g**4 + 0*g + 0*g**3 = 0.
-1, 0, 1
Let j(z) = -8*z**4 - 6*z**3 + 2*z**2 + 5*z + 5. Let s(r) = 4*r**4 + 3*r**3 - r**2 - 3*r - 3. Let c = -16 + 6. Let v(m) = c*s(m) - 6*j(m). Factor v(x).
2*x**2*(x + 1)*(4*x - 1)
Suppose 2*g - 22 = -5*t, 6*t - 17 = -g + 2*t. Suppose -g - 5 = -2*w. Let 2/7*l**2 + 2/7*l**w - 2/7*l**4 - 2/7*l + 0 = 0. Calcul