10 - 3*z**2. Determine b, given that n(b) = 0.
-3
Solve -3*p**2 + 3*p + 0 + 3/4*p**3 = 0.
0, 2
Factor -11*p**5 - p**3 + 2*p**4 + 6*p**5 + 4*p**5 + 0*p**3.
-p**3*(p - 1)**2
Let j(c) be the first derivative of c**5/140 + c**4/84 - c**3/21 - 5*c + 4. Let t(r) be the first derivative of j(r). Factor t(a).
a*(a - 1)*(a + 2)/7
Let z(h) be the first derivative of -h**6/30 + 2*h**5/25 - 2*h**3/15 + h**2/10 - 8. What is i in z(i) = 0?
-1, 0, 1
Let q(l) be the second derivative of l**6/480 - 7*l**5/480 + l**4/48 + 11*l**3/6 - 6*l. Let w(v) be the second derivative of q(v). Let w(m) = 0. What is m?
1/3, 2
Let d = 213 - 1064/5. Solve 0 - 2/5*j - d*j**2 = 0 for j.
-2, 0
Factor 0*j - 7/3*j**2 + 1/3*j**3 + 0.
j**2*(j - 7)/3
Let x(k) be the first derivative of -k**7/2520 - k**6/540 - k**5/360 + 2*k**3/3 + 1. Let p(f) be the third derivative of x(f). Factor p(u).
-u*(u + 1)**2/3
Suppose 4*m - 34 = -2*f + 5*f, -4*m = -5*f - 54. Let j be f/(-45) - 50/(-18). Factor -1/3*s**j + 0*s**2 + 0 + 1/3*s.
-s*(s - 1)*(s + 1)/3
Let k(a) be the first derivative of -a**3/3 + a**2/2 + 18. Let k(n) = 0. Calculate n.
0, 1
Suppose m + 7 = 3*s, s - 2*m + 0*m - 4 = 0. Let 0 - 4/5*r - 6/5*r**3 - 14/5*r**2 + s*r**5 + 14/5*r**4 = 0. What is r?
-1, -2/5, 0, 1
Let w(l) = -16*l**2 - 6*l. Let i(y) = -3*y**2 - y. Let b(o) = o - 6. Let r be b(-5). Let f(q) = r*i(q) + 2*w(q). Factor f(v).
v*(v - 1)
Let n(o) be the first derivative of o**8/560 - o**7/140 + 4*o**3/3 + 1. Let s(j) be the third derivative of n(j). Factor s(y).
3*y**3*(y - 2)
Let u(d) = 2*d - 30. Let o be u(15). Factor 0 + 1/3*l**2 - 1/3*l**3 + o*l.
-l**2*(l - 1)/3
Let s be (1/6)/(1/64). Let j(u) = -123*u + 248. Let c be j(2). Let -4/3 - 22/3*k - 14/3*k**3 - s*k**c = 0. What is k?
-1, -2/7
Suppose 0*r - 2*l = -2*r, 6 = 2*r + l. Find g, given that -g - 9*g + 25*g**2 - 2*g**4 + 4 - 11*g**r + 2*g**3 - 8*g**2 = 0.
-2, 1
Let b(w) be the third derivative of 4/15*w**5 + 0*w + 0 + 2/105*w**7 + 0*w**4 + 2*w**2 - 2/15*w**6 + 0*w**3. Determine x so that b(x) = 0.
0, 2
Let g be 1/3 + 11/3. Suppose 2*m + 16 = m - g*u, 0 = -4*m - 4*u - 16. Factor -1/3*p + 2/3*p**3 + 0*p**2 + m + 0*p**4 - 1/3*p**5.
-p*(p - 1)**2*(p + 1)**2/3
Solve 16/5*u + 2/5*u**3 + 2*u**2 + 8/5 = 0.
-2, -1
Let x(v) be the third derivative of -v**6/180 + v**5/45 - v**4/36 - 5*v**2. Factor x(j).
-2*j*(j - 1)**2/3
Let v(g) be the second derivative of -3*g**7/112 - g**6/80 + 3*g**5/32 + g**4/32 - g**3/8 + 11*g. Suppose v(j) = 0. What is j?
-1, 0, 2/3, 1
Let b(c) = c**5 - 5*c**4 + 7*c**3 + 12*c**2 - c + 7. Let j(p) = 2*p**4 - 2*p**3 - 4*p**2 - 2. Let s(x) = -2*b(x) - 7*j(x). Find h, given that s(h) = 0.
-1, 0, 1
Let b(r) be the third derivative of r**2 + 0*r + 1/40*r**5 - 1/420*r**7 + 1/240*r**6 - 1/48*r**4 - 1/6*r**3 + 0. Factor b(z).
-(z - 2)*(z - 1)*(z + 1)**2/2
Let m(q) be the second derivative of -27*q**5/20 + q**4/2 + 9*q**3/2 - 3*q**2 - 13*q. Determine d, given that m(d) = 0.
-1, 2/9, 1
Let c(g) be the first derivative of -2*g**2 - 8/3*g - 1/12*g**4 - 2/3*g**3 + 1. Solve c(h) = 0.
-2
Let k = 12 - 9. Let g(l) be the second derivative of 1/18*l**4 + 0*l**2 - 1/9*l**k - l + 0. Determine i so that g(i) = 0.
0, 1
Let p(t) = -t**2 - 2*t - 9. Suppose 5*s = 3*s + 2. Let q(g) = -g. Let j(v) = s*p(v) + 4*q(v). Factor j(r).
-(r + 3)**2
Let g(v) be the third derivative of -v**8/224 + v**6/40 - v**4/16 + 2*v**2. Factor g(c).
-3*c*(c - 1)**2*(c + 1)**2/2
Let l(m) be the second derivative of m**6/60 + m**5/40 - 11*m. Let l(v) = 0. What is v?
-1, 0
Suppose 2*i = 3*m + 1 - 14, i - m = -4. Let c = i - -3. Factor -1/4*f**5 + 1/4*f**3 + 0*f + 0*f**c + 0*f**2 + 0.
-f**3*(f - 1)*(f + 1)/4
Let c = -2/23 - -41/207. Let v(y) be the second derivative of c*y**3 + 3*y + 0 + 1/18*y**4 + 0*y**2. Factor v(s).
2*s*(s + 1)/3
Let y be ((-8)/(-44))/((-24)/(-66)). Let 1/2*s + 0 + y*s**2 = 0. What is s?
-1, 0
Let r = -2 + 4. Factor -r*n**2 - n**2 - 3*n + 2*n - 2*n.
-3*n*(n + 1)
Let u = -7 + 11. Let z(q) = -6*q**3 - 4*q**2 - 2*q + 8. Let p(k) = -11*k**3 - 8*k**2 - 3*k + 15. Let v(m) = u*p(m) - 7*z(m). Solve v(g) = 0.
-2, -1, 1
Suppose 0*r + 0 + 1/3*r**2 - 1/3*r**3 = 0. Calculate r.
0, 1
Let c(m) be the third derivative of 1/1260*m**7 + 0*m**4 + 0*m**3 + 0 - 1/360*m**5 + 0*m + 4*m**2 - 1/720*m**6 + 1/2016*m**8. Factor c(o).
o**2*(o - 1)*(o + 1)**2/6
Factor -b**2 - b**2 + 5*b**2 - 6 + 0*b + 3*b.
3*(b - 1)*(b + 2)
Let k = -13 + 17. Factor -2/3*s**k + 0*s + 4/3*s**3 + 0 - 2/3*s**2.
-2*s**2*(s - 1)**2/3
Find z such that -6*z + z + 3*z**2 - 5*z**2 + z = 0.
-2, 0
Let i(w) be the second derivative of w**4/6 - 2*w**3 + 8*w. Factor i(y).
2*y*(y - 6)
Let n(f) = -3*f**2 + 2*f - 6. Let y(p) = 7*p**2 - 3*p + 13. Let z(u) = -u - 2. Let t be z(3). Let i(b) = t*n(b) - 2*y(b). Factor i(x).
(x - 2)**2
Let w(r) be the second derivative of r**2 + 0 - 2*r + 1/6*r**4 + 2/3*r**3. What is q in w(q) = 0?
-1
Factor -10/13*x**3 + 16/13 - 36/13*x**2 - 24/13*x.
-2*(x + 2)**2*(5*x - 2)/13
Let d(b) = b**3 - b**2 - 3*b - 1. Let q(c) = -c**2 + c - 1. Let i(s) = 4*d(s) - 4*q(s). What is w in i(w) = 0?
-2, 0, 2
Let d(k) be the second derivative of k**4/12 - 8*k**3/3 + 32*k**2 + 4*k. Let d(w) = 0. What is w?
8
Let m = -1748/7 + 250. Factor 2/7*r**2 - m*r + 2/7*r**3 - 2/7.
2*(r - 1)*(r + 1)**2/7
Let b(u) be the second derivative of u**7/315 + u**6/225 - u**5/75 - u**4/45 + u**3/45 + u**2/15 - 20*u. Factor b(p).
2*(p - 1)**2*(p + 1)**3/15
Find b, given that b + 0*b**2 + 6/7 - 1/7*b**3 = 0.
-2, -1, 3
Factor -2*u**5 + 7*u**4 + 0*u**5 + 0*u**5 - 9*u**4.
-2*u**4*(u + 1)
Let g(p) be the third derivative of p**7/168 - p**6/96 - p**5/48 + 5*p**4/96 - 12*p**2. Factor g(u).
5*u*(u - 1)**2*(u + 1)/4
Let b be 2/10 - 28/(-210). Let d(g) be the second derivative of 2*g - 1/6*g**4 + b*g**3 + 0 + g**2 - 1/10*g**5. Find r, given that d(r) = 0.
-1, 1
Let s(j) = j**2. Let q(x) = -5*x**2 + 16*x - 64. Let l(n) = 3*q(n) + 12*s(n). Find w, given that l(w) = 0.
8
Let l = -26 + 22. Let i be (l - 18/(-7))/(-1). Factor 2*g**2 - 18/7*g**3 + i*g**4 - 2/7*g**5 + 0 - 4/7*g.
-2*g*(g - 2)*(g - 1)**3/7
Let t(z) be the first derivative of 4*z**5/5 - 7*z**4/2 + 6*z**3 - 5*z**2 + 2*z - 7. Solve t(f) = 0 for f.
1/2, 1
Let h(b) = 3*b**4 + 15*b**3 + 24*b**2 + 17*b. Let f(a) = -3*a**4 - 15*a**3 - 24*a**2 - 16*a. Let o(n) = 5*f(n) + 4*h(n). Solve o(k) = 0 for k.
-2, -1, 0
Let q(n) = n**3 - n**2 + n - 1. Let p(w) = -w**4 - w**3 + 2*w**2 - 4*w + 4. Let y = -18 - -14. Let c(o) = y*q(o) - p(o). Factor c(j).
j**2*(j - 2)*(j - 1)
Let z(h) be the first derivative of h**4/2 + h**3/3 - h + 7. Let d be z(1). Factor -3/4*l**4 - 1/2*l**3 + 0 + 3/4*l**d + 1/2*l.
-l*(l - 1)*(l + 1)*(3*l + 2)/4
Let o(u) be the second derivative of -u**5/5 - u**4 + 3*u. Suppose o(r) = 0. What is r?
-3, 0
Let n(r) = r**3 - 2*r**2 - 4*r + 7. Let s be n(3). Let -2/3*v**3 + 0*v**2 + 0 + 0*v + 2/3*v**s = 0. What is v?
0, 1
Let n(c) = 3*c**3 + c**2 - c + c**4 - c**5 + 2*c**5 - 2*c**2. Let o(m) = -m**5. Let b(d) = -n(d) - 3*o(d). Determine f, given that b(f) = 0.
-1, -1/2, 0, 1
Let l(y) be the first derivative of y**6/2 + 6*y**5/5 + 3*y**4/4 - 11. Factor l(h).
3*h**3*(h + 1)**2
Let n(y) be the third derivative of -y**8/784 + 3*y**7/490 + y**6/140 - 3*y**5/70 - y**4/56 + 3*y**3/14 + 14*y**2. Determine p, given that n(p) = 0.
-1, 1, 3
What is x in 0 + 2/11*x**4 - 6/11*x**3 + 2/11*x**5 + 4/11*x - 2/11*x**2 = 0?
-2, -1, 0, 1
Factor 1/5*k**2 + 3/5*k + 2/5.
(k + 1)*(k + 2)/5
Let b = -11 - -21. Suppose -n - 4*n + b = 0. Determine z, given that 12*z**3 + n*z**4 - z**5 - 3*z**3 - 10*z**3 = 0.
0, 1
Let z(u) = -u - 5. Let n be z(-7). Let h(d) be the first derivative of 0*d**n + 0*d - 2/15*d**3 + 1. Solve h(a) = 0 for a.
0
Let v(w) = 8*w**3 - 11*w**2 - 13*w + 16. Let y(s) = -20*s**3 + 28*s**2 + 32*s - 40. Let c(l) = -12*v(l) - 5*y(l). Factor c(t).
4*(t - 2)*(t - 1)*(t + 1)
Let x be (((-36)/21)/4)/((-9)/6). Factor x*w - 4/7 + 2/7*w**2.
2*(w - 1)*(w + 2)/7
Let i(m) be the first derivative of -m**6/60 + m**4/12 - 3*m**2/2 - 2. Let r(k) be the second derivative of i(k). Factor r(x).
-2*x*(x - 1)*(x + 1)
Suppose -2*g - y + 109 = -0*y, -4*g = 3*y - 217. Suppose -57 = -4*a + g. Solve 2*t**4 + 4*t - 5 + 24*t**3 - a*t**3 + 3 = 0.
-1, 1
Let i be ((-9)/(-36))/((-1)/2)*0. Factor 1/3*k**2 + 0*k**3 + i + 0*k - 1/3*k**4.
-k**2*(k - 1)*(k + 1)/3
Let a