ivative of -v**6/120 - v**5/40 - v**4/48 + 3*v. Factor r(y).
-y**2*(y + 1)**2/4
What is w in 4*w - 20*w**4 - 13*w**4 + 4*w**5 - 16*w**2 + 24*w**3 + 17*w**4 = 0?
0, 1
Let t = 1 + 7. Factor 0*p**2 - 4*p**2 + 3*p - 5*p**2 + 3*p**4 - 3*p**3 + t - 2.
3*(p - 2)*(p - 1)*(p + 1)**2
Let l(o) be the first derivative of -o**3 - 3*o**2 + 9*o + 14. Solve l(h) = 0.
-3, 1
Let h be (33/44)/(3/2). Factor -h - 1/2*k**2 - k.
-(k + 1)**2/2
Let x(z) be the first derivative of 1/7*z**2 + 2/21*z**3 + 1 - 1/14*z**4 - 2/7*z. Factor x(h).
-2*(h - 1)**2*(h + 1)/7
Let y(t) = -2*t**5 - t**4 + 3*t**3 - 3*t**2 + 3*t + 3. Let r(z) = z**4 - z**3 + z**2 - z - 1. Let l(m) = 6*r(m) + 2*y(m). Factor l(w).
-4*w**4*(w - 1)
Let q(a) be the third derivative of a**6/180 + a**5/45 + a**4/36 - 8*a**2. Solve q(c) = 0.
-1, 0
Factor -5/6*b - 1/6*b**3 + 1/3 + 2/3*b**2.
-(b - 2)*(b - 1)**2/6
Let a(t) be the first derivative of t**5/10 + t**4/2 + 5*t**3/6 + t**2/2 + 14. Solve a(p) = 0.
-2, -1, 0
Let f(x) be the first derivative of 2/25*x**5 + 0*x + 2/5*x**3 - 2 - 2/5*x**4 + 0*x**2. Find d, given that f(d) = 0.
0, 1, 3
Let x be 5/(-6)*((-6)/(-3) - 4). Determine m so that -x*m - 2/3 + m**2 = 0.
-1/3, 2
Let n(r) = -22*r - 2. Let j be n(-1). Suppose 5*m + 25 = 2*q, 5*q + j = -5*m + m. Factor q*g**2 - 1/2 - 1/4*g**3 + 3/4*g.
-(g - 1)**2*(g + 2)/4
Let n(x) be the third derivative of 1/60*x**4 - 8*x**2 + 2/15*x**3 + 0 - 1/150*x**5 + 0*x. Solve n(i) = 0.
-1, 2
Let i be (3/(-2) - (-918)/660)*-5. Factor i*f**2 - 2/11 + 4/11*f.
2*(f + 1)*(3*f - 1)/11
Let i(s) = -3*s**3 + 11*s**2 - 2*s - 11. Let q(w) = 3*w**3 - 10*w**2 + w + 10. Let g(n) = 4*i(n) + 5*q(n). Let g(x) = 0. What is x?
-1, 1, 2
Let a(o) be the first derivative of 0*o - 1/2*o**3 - 9/10*o**5 + 0*o**2 - 6 + 9/8*o**4 + 1/4*o**6. Solve a(j) = 0.
0, 1
Let f(y) = -y**3 + 24*y**2 + 54*y - 52. Let c be f(26). Factor -8/7 + 6/7*w**2 - 2/7*w**3 + c*w.
-2*(w - 2)**2*(w + 1)/7
Let d be -9*(-4 + 282/72). Let 0 + 3/4*k + d*k**3 + 3/2*k**2 = 0. What is k?
-1, 0
Factor 16/3*z + 4/3*z**2 + 16/3.
4*(z + 2)**2/3
Let s be 18/(-3)*-1 + -3. Suppose -b = -s*m + 4, -b + 12 = 3*b + 2*m. Factor -4*h**2 + b*h**3 + 4*h + 3*h - 5*h.
2*h*(h - 1)**2
Let n(p) be the third derivative of p**5/15 - 5*p**4/6 + 8*p**3/3 - 19*p**2. Factor n(c).
4*(c - 4)*(c - 1)
Let i be -3 + (-2 - -35)/3. Factor -10*w + 3*w + 12*w**3 + 3*w**5 - 6 + 20*w**4 - 6*w**2 - i*w**4 - 8*w.
3*(w - 1)*(w + 1)**3*(w + 2)
Let v be (-67 - 2) + (-4 - -5). Let l be v/(-70) + (-12)/30. Suppose -2/7*r - l*r**2 + 4/7 + 2/7*r**3 = 0. What is r?
-1, 1, 2
Let g = 1/6 + 1/6. Let i(x) be the first derivative of -g*x**3 - 3/2*x**2 + 1 - 2*x. Factor i(n).
-(n + 1)*(n + 2)
Suppose -2*a + 4*a = 2*z + 6, 0 = -a - 4*z + 3. Suppose 2*s - 5 = a. Find q, given that -3*q**4 + 0*q**4 + q**s + 2*q**5 = 0.
0, 1
Suppose 20 = -4*k + 56. What is h in 2 + 5/4*h**4 + k*h + 27/4*h**3 + 25/2*h**2 = 0?
-2, -1, -2/5
Let k(j) be the third derivative of 0*j + 0*j**4 - 3*j**2 + 0*j**3 + 1/15*j**6 + 16/105*j**7 + 0*j**5 + 0 + 1/24*j**8. Factor k(r).
2*r**3*(r + 2)*(7*r + 2)
Let z(m) = -m**2 - 11*m + 12. Let k be z(-13). Let p = k - -17. Factor 0 - 1/2*y**2 - 1/4*y - 1/4*y**p.
-y*(y + 1)**2/4
Suppose -4*p**3 - 13 + 4*p**2 + 13 - 2*p**2 + 2*p**4 = 0. Calculate p.
0, 1
Determine w so that -3/2*w + 1/2*w**2 - 2 = 0.
-1, 4
Let t be 7/35*(3 + -1). Let -2/5 + 4/5*s - t*s**2 = 0. What is s?
1
Let o(a) be the third derivative of 9*a**6/80 - 9*a**5/40 - a**4/4 + a**3 + 3*a**2. Find n such that o(n) = 0.
-2/3, 2/3, 1
Let p(n) be the third derivative of -n**8/1344 - n**7/420 - n**6/480 + 7*n**2. Find y, given that p(y) = 0.
-1, 0
Let z(i) be the third derivative of -i**8/3192 - 2*i**7/1995 + i**6/1140 + i**5/285 - 2*i**2. Find j, given that z(j) = 0.
-2, -1, 0, 1
Let z(p) be the third derivative of 4*p**7/315 + p**6/18 + 17*p**5/360 + p**4/72 + 8*p**2. Let z(x) = 0. What is x?
-2, -1/4, 0
Factor -1 + 1/2*x**2 - 1/2*x.
(x - 2)*(x + 1)/2
Let r(d) be the third derivative of d**7/945 + d**6/90 + 13*d**5/270 + d**4/9 + 4*d**3/27 + d**2. Factor r(q).
2*(q + 1)**2*(q + 2)**2/9
Let p = 0 + 3. Suppose 8*k - 19 = p*k + 2*g, 3*k - 5*g - 19 = 0. Let -1/3 + 0*s**2 + 2/3*s**k + 1/3*s**4 - 2/3*s = 0. Calculate s.
-1, 1
Factor 24*g + 2*g**2 + 9 + 27 + 2*g**2.
4*(g + 3)**2
Let k(p) be the second derivative of -p**4/36 - 8*p. Factor k(c).
-c**2/3
Let y(d) be the first derivative of d**4/24 - d**2/4 + d/3 - 5. Determine n, given that y(n) = 0.
-2, 1
Let h(l) be the second derivative of l**7/210 + l**6/60 - l**4/12 - l**3/6 + 3*l**2/2 + l. Let b(d) be the first derivative of h(d). Factor b(v).
(v - 1)*(v + 1)**3
Let r(d) = 1. Let h(t) = 7*t**2 + 5*t + 5. Let j(n) = 3*n**2 + 2*n + 3. Let z(p) = 2*h(p) - 5*j(p). Let c(k) = 5*r(k) + z(k). What is u in c(u) = 0?
0
Let w(x) be the third derivative of -x**7/840 - x**6/480 + x**5/80 + 5*x**4/96 + x**3/12 + 9*x**2. Find n, given that w(n) = 0.
-1, 2
Suppose -r + 1 = -0. Factor 0*k**4 + r + 0*k**2 - k**4 + 0*k**2 + 2*k - 2*k**3.
-(k - 1)*(k + 1)**3
Suppose 0*i - 10 = -2*i. Suppose s + 16 = i*s. What is l in 1/4*l**3 - 1/4*l + 0 - 1/2*l**2 + 1/2*l**s = 0?
-1, -1/2, 0, 1
Suppose -17 = w + 5*x, 3*w + w - x - 16 = 0. Suppose 0 = 3*q + r + 3, -w*r - 13 = -4. Suppose q*i + 0*i**2 + 0 - 4/7*i**4 + 2/7*i**3 + 2/7*i**5 = 0. What is i?
0, 1
Let u(i) be the first derivative of i**6/180 + 3*i**2 - 2. Let c(q) be the second derivative of u(q). Suppose c(z) = 0. Calculate z.
0
Let t(w) be the third derivative of -w**5/12 + 5*w**4/24 + 5*w**3/3 - 6*w**2. Factor t(s).
-5*(s - 2)*(s + 1)
Let i(x) be the second derivative of -2*x**6/15 + x**5/5 + 2*x**4/3 - 31*x. Factor i(z).
-4*z**2*(z - 2)*(z + 1)
Let c(t) be the third derivative of t**6/120 - t**5/30 + t**4/24 + 3*t**2. What is b in c(b) = 0?
0, 1
Let u(x) be the first derivative of -1/12*x**2 + 0*x + 1/3*x**3 - 2. Determine q, given that u(q) = 0.
0, 1/6
Suppose 2*t - 21 = -3*v, 6*t - 5*v = t - 10. Find a such that 2*a**t - a + 0 + 7/2*a**2 = 0.
-2, 0, 1/4
Let m(x) be the first derivative of x**6/18 - 2*x**5/15 + 2*x**3/9 - x**2/6 + 9. What is c in m(c) = 0?
-1, 0, 1
Let z(k) be the third derivative of k**8/10080 - k**6/360 + k**5/60 + 2*k**2. Let m(l) be the third derivative of z(l). Factor m(f).
2*(f - 1)*(f + 1)
Let x(h) = -h**3 + 3*h**2 - 2. Let m be x(2). Let n = 6 - m. Suppose -2/3*r**5 - 20/3*r**3 - 10/3*r**n - 20/3*r**2 - 10/3*r - 2/3 = 0. Calculate r.
-1
Let l(q) be the first derivative of 1/5*q**2 + q + 1/5*q**3 - 2/15*q**4 + 3. Let n(z) be the first derivative of l(z). Factor n(x).
-2*(x - 1)*(4*x + 1)/5
Let a(s) be the third derivative of s**11/1663200 - s**9/302400 - s**5/15 + s**2. Let j(n) be the third derivative of a(n). Factor j(r).
r**3*(r - 1)*(r + 1)/5
Let l(x) be the third derivative of 0*x**3 + 0 - 7*x**2 + 1/180*x**5 + 1/360*x**6 + 0*x**4 + 0*x. Determine i, given that l(i) = 0.
-1, 0
Let x = 17 - 15. Factor -6*d**4 - 16*d - 2*d**5 + 4*d + 9*d**3 + 12*d**x - d**5.
-3*d*(d - 1)**2*(d + 2)**2
Let k = 360 + -357. Factor 1/2*d**2 + 1/4*d + 0 + 1/4*d**k.
d*(d + 1)**2/4
Let f(m) be the second derivative of 0*m**3 - 1/20*m**6 + 0 + 0*m**2 + 0*m**5 + 0*m**4 + 5*m. Factor f(l).
-3*l**4/2
Suppose -7/9*v**3 + 1/9*v**2 - 2/9 + 5/9*v + 2/9*v**5 + 1/9*v**4 = 0. Calculate v.
-2, -1, 1/2, 1
Let n(f) be the first derivative of -2*f - 2 - 1/20*f**4 + 3/5*f**2 - 1/10*f**3. Let t(k) be the first derivative of n(k). Find g such that t(g) = 0.
-2, 1
Let m(b) = b**2 + 12*b - 27. Let j be m(-14). Let t(q) be the first derivative of 4/11*q**2 - 8/11*q - 2/33*q**3 - j. Factor t(n).
-2*(n - 2)**2/11
Let x(p) be the second derivative of -p**6/10 + 3*p**5/5 - 3*p**4/4 - 2*p**3 + 6*p**2 + 3*p + 1. Factor x(g).
-3*(g - 2)**2*(g - 1)*(g + 1)
Let d = -185 + 928/5. Solve 2/5 - d*g + 1/5*g**2 = 0.
1, 2
Let u(c) = c**3 - 12*c**2 - c + 12. Let m be u(12). Factor 0*q**3 + 2/3*q**2 - 1/3*q**4 - 1/3 + m*q.
-(q - 1)**2*(q + 1)**2/3
Let t(y) be the third derivative of 0*y**4 - 1/210*y**6 + 0*y**3 + 1/735*y**7 + 0 - 3*y**2 + 1/210*y**5 + 0*y. Factor t(u).
2*u**2*(u - 1)**2/7
Let i(d) = -d. Let a(t) = -3*t**4 + 3*t**3 + 3*t**2 - 7*t. Let u(h) = a(h) - 4*i(h). Suppose u(q) = 0. Calculate q.
-1, 0, 1
Suppose -3*y = -0*y. Let z(f) be the first derivative of -1/3*f**3 - 1 + 1/4*f**4 + 1/5*f**5 + y*f - 1/2*f**2. Find b,