 Factor -2 + 9*v**3 - 12*v + 2 - 4*v**4 + n*v**4.
3*v*(v - 1)*(v + 2)**2
Let p(x) be the first derivative of -3/5*x**3 + 0*x + 3/5*x**2 - 2 + 3/20*x**4. Factor p(l).
3*l*(l - 2)*(l - 1)/5
Let i(l) be the third derivative of l**5/80 + 7*l**4/32 + 3*l**3/4 - 3*l**2. Factor i(f).
3*(f + 1)*(f + 6)/4
Suppose 16 = 8*x - 8. Factor -h - 1/3*h**x + h**2 + 1/3.
-(h - 1)**3/3
Let j(g) be the second derivative of 0*g**2 + 0 + 1/36*g**3 - 6*g + 1/72*g**4. Factor j(c).
c*(c + 1)/6
Factor 0 + 10/3*b**2 + 2/3*b + 2*b**3 - 6*b**4.
-2*b*(b - 1)*(3*b + 1)**2/3
Let q(h) be the third derivative of -h**7/420 + h**6/120 + h**5/30 - h**4/24 - h**3/4 - 35*h**2. Factor q(y).
-(y - 3)*(y - 1)*(y + 1)**2/2
Let w(c) be the second derivative of -c**4/4 - 3*c**3 - 27*c**2/2 - 6*c. Factor w(p).
-3*(p + 3)**2
Factor -i**4 - 6*i**3 - 2*i**4 - 15*i**2 + 2*i**4 + 6*i**2.
-i**2*(i + 3)**2
Let q(k) be the third derivative of -k**9/20160 + k**8/11200 + k**7/4200 + k**5/60 + 3*k**2. Let z(r) be the third derivative of q(r). Factor z(l).
-3*l*(l - 1)*(5*l + 2)/5
Suppose -122*x + 123*x - 3 = 0. Find o, given that 0 - 10/3*o**4 - 8/3*o**2 + 0*o - 2/3*o**5 - 16/3*o**x = 0.
-2, -1, 0
Determine z so that 2/7*z + 30/7*z**2 + 38/7*z**3 + 2*z**4 - 4/7 = 0.
-1, 2/7
Let v(w) be the first derivative of -w**6/39 + 4*w**5/65 - 4*w**3/39 + w**2/13 + 26. Let v(i) = 0. Calculate i.
-1, 0, 1
Let l be (-2)/(-3 - (-21)/9). Let q(u) be the third derivative of 1/9*u**l - 1/18*u**4 + 0*u + 0 + 1/90*u**5 + 3*u**2. Factor q(m).
2*(m - 1)**2/3
Let q(l) = 5*l**2 - 5*l - 4. Let w(r) = 26*r**2 - 26*r - 20. Let n(u) = 16*q(u) - 3*w(u). Solve n(g) = 0 for g.
-1, 2
Let a(z) be the first derivative of -8*z**3 - 2*z**2 - 5. Let a(t) = 0. What is t?
-1/6, 0
Let y(m) be the first derivative of -7*m**8/48 + m**7/3 + m**6/40 - m**5/3 - m**4/6 - m**2/2 - 1. Let f(q) be the second derivative of y(q). Factor f(a).
-a*(a - 1)**2*(7*a + 2)**2
Let w be 8/3 - (-3)/9. Suppose w*f**4 + 8*f - f**4 - 2*f**2 - f**5 - 7*f = 0. What is f?
-1, 0, 1
Let t(g) be the second derivative of -g**5/20 + g**4/4 - 2*g**2 - 17*g. Factor t(o).
-(o - 2)**2*(o + 1)
Let d(c) be the first derivative of 1/300*c**5 + 1 + 3/2*c**2 + 1/120*c**4 + 0*c + 0*c**3. Let t(i) be the second derivative of d(i). What is s in t(s) = 0?
-1, 0
Let s be (35/50 - 3/6)*2. Find a, given that s*a - 2/5*a**2 + 0 = 0.
0, 1
Let r(p) be the second derivative of -1/1620*p**6 - 1/108*p**4 - 1/270*p**5 + p + 0 - 1/6*p**3 + 0*p**2. Let k(u) be the second derivative of r(u). Factor k(c).
-2*(c + 1)**2/9
Let j be (0/1)/(-4 + 6). Let j*g**2 - 6/5*g + 2/5*g**3 - 4/5 = 0. What is g?
-1, 2
Let k(w) be the third derivative of w**5/75 + w**4/10 - 25*w**2. Solve k(u) = 0 for u.
-3, 0
Let a(i) be the second derivative of i**6/45 - i**5/15 - i**4/6 + 4*i**3/9 + 4*i**2/3 - i. Factor a(n).
2*(n - 2)**2*(n + 1)**2/3
Let g(t) = -t**3 - 36*t**2 - 430*t - 1728. Let a(s) = -s**3 - 36*s**2 - 429*s - 1728. Let w(r) = -2*a(r) + 3*g(r). Let w(y) = 0. Calculate y.
-12
Let q(d) = -d**3 - 7*d**2 - 6*d + 4. Let y be q(-6). Suppose 2*s**y - 6*s**2 - 10 + 4*s + 10 + 0*s**2 = 0. Calculate s.
-2, 0, 1
Let z = 9 + -8. Let o = 3 - z. Factor -1/2*l + 1/2*l**3 + l**o - 1.
(l - 1)*(l + 1)*(l + 2)/2
Let p(w) = 5*w + 1. Let i be p(1). Let u be (4/i)/((-2)/(-2)). What is a in u*a**2 - 2/3*a + 0 = 0?
0, 1
Factor 9*w**2 - 454 - 3*w - 9*w**3 + 454 + 3*w**4.
3*w*(w - 1)**3
Let c(s) be the second derivative of -s**4/3 + 8*s**2 - 19*s. Suppose c(l) = 0. What is l?
-2, 2
Let n(l) be the second derivative of l**7/2520 + l**6/720 - l**5/60 + 5*l**4/12 + 6*l. Let m(a) be the third derivative of n(a). Solve m(x) = 0 for x.
-2, 1
Let w(c) be the third derivative of 1/100*c**5 + 0*c - 1/600*c**6 + 0 - 3*c**2 + 0*c**3 - 1/60*c**4. Solve w(r) = 0 for r.
0, 1, 2
Let n(c) = -14*c**5 + 16*c**3 + 12*c**2 - 26*c - 20. Let g(v) = -5*v**5 + 5*v**3 + 4*v**2 - 9*v - 7. Let i(l) = -8*g(l) + 3*n(l). Let i(h) = 0. Calculate h.
-1, 1, 2
Let l(h) be the third derivative of -h**6/360 - h**5/120 + h**4/12 - 3*h**3/2 - 8*h**2. Let k(d) be the first derivative of l(d). Factor k(f).
-(f - 1)*(f + 2)
Let i = -10 + 13. Let l = 5 + -3. Suppose 2*q**4 + 2*q + 4 + q**l - 4*q**2 - 2*q**3 - i*q**2 = 0. Calculate q.
-1, 1, 2
Let p(o) be the first derivative of -3/10*o**2 - 2/5*o**3 + 5 + 0*o - 3/20*o**4. Factor p(v).
-3*v*(v + 1)**2/5
Let i = -6/7 - -79/84. Let q(y) be the second derivative of -1/6*y**3 + 0*y**2 - i*y**4 - 2*y + 0. Solve q(b) = 0.
-1, 0
Let v(u) be the second derivative of -u**6/45 + u**5/15 + 2*u. Determine r so that v(r) = 0.
0, 2
Let d(j) be the first derivative of 1/90*j**5 + 0*j**2 + 0*j**3 + 0*j**4 + 1/135*j**6 - 2 - 5*j. Let i(f) be the first derivative of d(f). Factor i(r).
2*r**3*(r + 1)/9
Let d(n) be the second derivative of -n**7/168 + n**6/120 + n**5/40 - n**4/24 - n**3/24 + n**2/8 - 19*n. What is v in d(v) = 0?
-1, 1
Suppose 4*i = 117 - 25. Suppose 2*v + c - 13 = -0*c, -2*v - 3*c = -i. Factor 2/11*g**5 + 0 + 0*g**3 - 4/11*g**v - 2/11*g + 4/11*g**2.
2*g*(g - 1)**3*(g + 1)/11
Suppose -2 - 10 = -4*s. Factor -k**3 + 2*k**s - k**2 - k**2.
k**2*(k - 2)
Let z(h) = 4*h**4 - h**3 - 6*h**2 + 4*h + 2. Let i(c) = c**4 - c**2 + c. Let a(j) = 3*i(j) - z(j). Let a(v) = 0. What is v?
-1, 1, 2
What is r in -1/2*r**3 + r**2 + 0 - 1/2*r**4 + 0*r = 0?
-2, 0, 1
Let g(b) be the first derivative of -2*b**5/15 - 3*b**4/4 - b**3 + b**2/6 + b - 9. Suppose g(o) = 0. What is o?
-3, -1, 1/2
Factor -1/7*l**3 - 3/7*l**2 + 0 - 2/7*l.
-l*(l + 1)*(l + 2)/7
Let p(g) be the second derivative of -g**7/147 - 4*g**6/105 - g**5/14 - g**4/21 - 2*g. Suppose p(l) = 0. What is l?
-2, -1, 0
Let y(o) be the first derivative of -2 + 1/10*o**5 - 1/2*o**3 - 5/4*o**2 - o + 1/8*o**4. Factor y(u).
(u - 2)*(u + 1)**3/2
Suppose 4*p + 0 = 4. Factor -2*m**2 + 7*m - 1 - p - 3*m.
-2*(m - 1)**2
Let p be (-2)/8 - (-21)/20. Let u(t) be the first derivative of -4 - 2/15*t**3 - p*t**2 - 8/5*t. Factor u(d).
-2*(d + 2)**2/5
Let a(r) be the second derivative of -r**6/60 + r**5/8 - r**4/3 + r**3/3 + 36*r. Factor a(b).
-b*(b - 2)**2*(b - 1)/2
Let v be 6/9*(-3)/(-4). Let a be (-6)/(-4)*3/9. Suppose -a - 3/2*y**2 + v*y**3 + 3/2*y = 0. What is y?
1
Let m(h) be the second derivative of -2*h**6/15 + 2*h**5/5 - h**4/3 + 2*h + 7. Determine z, given that m(z) = 0.
0, 1
Let v(t) be the second derivative of t**6/105 - 3*t**5/35 + 3*t**4/14 + 12*t. Determine u, given that v(u) = 0.
0, 3
Let c be 2 - 5/3 - 0. Factor 1/3*s**3 - c*s + 1/3*s**4 - s**2 + 2/3.
(s - 1)**2*(s + 1)*(s + 2)/3
Find p, given that 1/3*p**3 + 0 - 1/6*p**4 + 0*p + 1/2*p**2 = 0.
-1, 0, 3
Let h = 83/3 - 27. Suppose c - 1/3 + h*c**2 - 1/3*c**4 + c**5 - 2*c**3 = 0. Calculate c.
-1, 1/3, 1
Let t = -3 - -1. Let d be 1 - -3 - (t - 0). Determine j so that -3*j - j**5 + 4*j**2 - d*j**3 + 4*j**4 + j + j = 0.
0, 1
Find s, given that 1/4*s**2 + 1/4*s**4 + 0*s + 0 + 1/2*s**3 = 0.
-1, 0
Suppose 2*q = -0*q + 12. Factor -4*a**3 + a + 2*a**2 - q*a**2 - a.
-4*a**2*(a + 1)
Suppose -8 = -r - 3*r. Let z(b) be the second derivative of 8/11*b**r + b + 20/33*b**3 - 441/110*b**5 + 0 - 7/3*b**4. Factor z(j).
-2*(7*j + 2)**2*(9*j - 2)/11
Factor 5/3*s - 2 + 1/3*s**2.
(s - 1)*(s + 6)/3
Let z(v) be the third derivative of 1/9*v**3 - 37/180*v**5 + 0 + 0*v + 4*v**2 - 1/72*v**4 + 1/10*v**6. Factor z(l).
(l - 1)*(4*l - 1)*(9*l + 2)/3
Let s = -19 + 23. Let l(v) be the second derivative of v**2 + 1/30*v**6 + 1/6*v**3 + 2*v + 0 - 1/4*v**s - 1/20*v**5. Determine j, given that l(j) = 0.
-1, 1, 2
Let l = -7 - -9. Suppose 5*p**l + 11*p - 9*p - 3*p**2 = 0. Calculate p.
-1, 0
Let l(i) = -2*i**2 - 11*i - 11. Let f(d) = -2*d**2 - 12*d - 12. Let h(n) = -3*f(n) + 4*l(n). Factor h(q).
-2*(q + 2)**2
Let x be 7/(882/(-8))*-33. Let w = x - 10/7. Factor w*n**3 + 0 + 0*n**2 + 0*n + 2/3*n**4.
2*n**3*(n + 1)/3
Let s be (-400)/(-42)*(-70)/(-30). Let p = s - 22. Suppose 0 + 2/9*b + p*b**2 = 0. What is b?
-1, 0
Let r = 109 + -100. Let t(j) be the second derivative of -81/10*j**5 + 0 + r*j**4 - 4*j**3 + 8/9*j**2 - 2*j. Factor t(h).
-2*(9*h - 2)**3/9
Let t(j) be the second derivative of -j + 0*j**2 + 0*j**5 + 0 + 1/18*j**4 - 1/18*j**3 - 1/45*j**6 + 1/126*j**7. Let t(z) = 0. What is z?
-1, 0, 1
Let s(p) = 11*p + 170. Let f be s(-15). Solve -14/9*k**3 + 22/9*k**2 - 8/9*k**f + 22/9*k - 26/9*k*