ctor 3/4*h**3 + 0*h + 9/2*h**2 + 0.
3*h**2*(h + 6)/4
Let y(z) be the second derivative of -z**4/14 - 8*z**3/21 + 3*z**2/7 - 2*z. Let y(w) = 0. Calculate w.
-3, 1/3
Let s(g) be the third derivative of -g**5/60 - g**4/12 + g**3/2 + 3*g**2 + 3. Factor s(r).
-(r - 1)*(r + 3)
Let p(m) be the first derivative of m**4/6 + 2*m**3/3 + 2*m**2/3 + 2. Factor p(u).
2*u*(u + 1)*(u + 2)/3
Let l be (2/(-2))/((-2)/(-26)). Let i = l + 31/2. Determine h, given that h + i*h**2 + 0 = 0.
-2/5, 0
Let p(y) be the first derivative of -6*y**5/5 - 27*y**4/20 + 3*y**3/5 + 3*y**2/5 + 17. Find g such that p(g) = 0.
-1, -2/5, 0, 1/2
Let n = 56 + -40. Let b be 3/9 + n/6. Factor 4*u**b - u**3 - 4*u**2 - u**3.
2*u**2*(u - 2)
Let g(b) be the first derivative of -5*b**3/3 - 20*b**2 + 44. Factor g(o).
-5*o*(o + 8)
Find s, given that 26/9*s - 2/9*s**3 - 10/9*s**2 - 14/9 = 0.
-7, 1
Factor -8/3*a - 8/3*a**3 - 4*a**2 - 2/3*a**4 - 2/3.
-2*(a + 1)**4/3
Solve 3/4*x**4 + 0*x**3 + 1/2*x**5 + 0 - 1/4*x**2 + 0*x = 0 for x.
-1, 0, 1/2
Let r(o) be the second derivative of o**7/189 - o**6/45 + o**5/30 - o**4/54 - 4*o. Determine z so that r(z) = 0.
0, 1
Suppose 0 = -y - 2*l + 14, y + 16 = -0*y + 4*l. Let b(x) be the first derivative of -4/33*x**3 + 0*x - 5/22*x**y + 0*x**2 - 2. Factor b(q).
-2*q**2*(5*q + 2)/11
Let o be (-4)/(-8)*0*1. Let q(w) be the first derivative of -1/15*w**6 + 0*w - 3/10*w**4 - 2 + o*w**2 - 2/15*w**3 - 6/25*w**5. Solve q(l) = 0.
-1, 0
Factor n**3 + 8*n**3 + n**2 - n**3 - 2*n**3 + 9*n**4.
n**2*(3*n + 1)**2
Let i be 48/9 - (-12)/(-9). Factor -2/5*u + 2/5*u**3 + 0 - 2/5*u**2 + 2/5*u**i.
2*u*(u - 1)*(u + 1)**2/5
Let y be 10/48 + 5/40. Let q(f) be the second derivative of -2/9*f**3 + 1/18*f**4 + 0 + y*f**2 - 3*f. Suppose q(i) = 0. Calculate i.
1
Let u(m) be the third derivative of -m**5/20 + m**4/2 - 3*m**3/2 - 7*m**2. Factor u(g).
-3*(g - 3)*(g - 1)
Let t(s) be the second derivative of 5*s**4/3 - 5*s**3/2 - 5*s**2/2 + 7*s. Factor t(k).
5*(k - 1)*(4*k + 1)
Let f(g) be the first derivative of -7 + 0*g - 3/8*g**2 + 3/5*g**5 + 3/2*g**3 - 27/16*g**4. Factor f(d).
3*d*(d - 1)**2*(4*d - 1)/4
Let h be 8/(-20)*2/((-20)/15). Factor -3/5*l + h*l**2 - 6/5.
3*(l - 2)*(l + 1)/5
Factor 4/3 - 1/6*m**3 + m**2 - 2*m.
-(m - 2)**3/6
Let n = 22 + -12. Let y be (6/30)/(3/n). Find u such that -2/3*u + y*u**2 - 4/3 = 0.
-1, 2
Suppose 0 = 4*y + j - 13, -y - 3*j + 13 = -2*y. Let a = 21 + -41/2. Factor a*o - 1/4*o**y + 0.
-o*(o - 2)/4
Let b(h) be the second derivative of h**5/4 - 5*h**4/4 + 5*h**3/2 - 5*h**2/2 - 19*h + 2. Find m, given that b(m) = 0.
1
Suppose 16/9*b - 4/9*b**3 - 8/9 - 2/3*b**2 + 2/9*b**4 = 0. What is b?
-2, 1, 2
Let k(y) = y**2 + 4*y + 2. Let m be k(-4). Let i be (-5)/(-20) - 1/4. Factor i - 1/2*q**m - q.
-q*(q + 2)/2
Let q(x) = 16 + 0*x - x**2 - 4*x - 8*x - x. Let s be q(-14). Factor 14/3*f + 73/3*f**s + 176/3*f**4 + 1/3 + 64/3*f**5 + 172/3*f**3.
(f + 1)**2*(4*f + 1)**3/3
Let u = -36 + 36. Let p(z) be the third derivative of 1/60*z**5 + 1/24*z**4 + 3*z**2 + 0*z + 1/480*z**6 + 0 + u*z**3. Determine v, given that p(v) = 0.
-2, 0
Let h = 6 - 1. Factor -5*c**5 + 2*c**5 + c**h + c**4 - 3*c**4.
-2*c**4*(c + 1)
Let x(i) = -i**2 - 5*i - 4. Let q be x(-4). Suppose 5*a - 14 + 4 = q. Factor -1/2*h**a + 0*h**3 + 0*h + 1/2*h**4 + 0.
h**2*(h - 1)*(h + 1)/2
Factor -9 + 1 - 8*r + 22*r**2 - 24*r**2.
-2*(r + 2)**2
Solve -2/7*h**5 - 6/7*h**2 + 0 - 2/7*h**3 + 4/7*h + 6/7*h**4 = 0.
-1, 0, 1, 2
Factor 7639*l + 4*l**5 - 7639*l - 4*l**3.
4*l**3*(l - 1)*(l + 1)
What is k in 8/5*k**4 - 8/5*k**2 - 4/5*k**5 + 4/5*k + 0*k**3 + 0 = 0?
-1, 0, 1
Factor 4*r**3 + r**4 + 0*r**5 - 3*r**4 - 5*r**3 - r**5.
-r**3*(r + 1)**2
Let n(x) = -11*x**2 + 26*x - 15. Let k(h) = 12*h**2 - 27*h + 15. Let f(y) = 6*k(y) + 7*n(y). Let f(i) = 0. What is i?
1, 3
Let y be (-8)/6 - 64/(-48). Factor 0*o**4 - 2/5*o + 4/5*o**3 + y*o**2 + 0 - 2/5*o**5.
-2*o*(o - 1)**2*(o + 1)**2/5
Let j be (-2)/((5/(-8))/5). Let s be j/6 + 0/(-6). Factor 8/3*o - 2*o**2 + 2/3*o**4 - 4/3*o**3 + s.
2*(o - 2)**2*(o + 1)**2/3
Factor 9 + 12 + p**2 - 22.
(p - 1)*(p + 1)
Let c(s) be the second derivative of -s**7/70 + s**5/10 - s**3/2 + 3*s**2/2 - 5*s. Let r(a) be the first derivative of c(a). Suppose r(g) = 0. What is g?
-1, 1
Let b(r) = r**3 - 4*r**2 + r - 2. Let p be b(4). Factor 2/7*q**p + 2/7 + 4/7*q.
2*(q + 1)**2/7
Let v(p) be the second derivative of p**6/1260 + p**5/420 - p**3/6 - p. Let a(r) be the second derivative of v(r). Find t, given that a(t) = 0.
-1, 0
Let y(u) be the second derivative of -u**4/12 - u**3/2 + u**2/2 - 3*u. Let w(k) = -2*k**2 - 4*k + 2. Let z(h) = 3*w(h) - 4*y(h). Let z(i) = 0. What is i?
-1, 1
What is p in 0*p - 2/11*p**4 - 6/11*p**2 + 0 + 8/11*p**3 = 0?
0, 1, 3
What is b in 10/7*b**5 + 0*b**2 + 0*b - 6/7*b**4 - 4/7*b**3 + 0 = 0?
-2/5, 0, 1
Let y(a) be the first derivative of a**7/189 - a**6/135 + 3*a + 7. Let o(j) be the first derivative of y(j). Factor o(n).
2*n**4*(n - 1)/9
Let r(g) = g**2 - 5*g + 6. Let y be r(2). Suppose y - 28*a**3 + 686/9*a**5 + 490/9*a**4 + 16/9*a - 40/9*a**2 = 0. What is a?
-1, -2/7, 0, 2/7
Let i(b) be the second derivative of -b**7/147 - 2*b**6/105 + b**5/70 + b**4/21 - 21*b. Suppose i(n) = 0. Calculate n.
-2, -1, 0, 1
Let v(r) be the first derivative of r**7/35 - 23*r**6/180 + 13*r**5/60 - r**4/6 - 5*r**3/3 + 4. Let i(x) be the third derivative of v(x). Factor i(s).
2*(s - 1)*(3*s - 2)*(4*s - 1)
Let k be (-3)/(-1) - (-1 - -1). Let b(l) = l**2 - 7*l + 1. Let w(y) = 2*y**2 - 8*y + 2. Let x(o) = k*w(o) - 4*b(o). Factor x(i).
2*(i + 1)**2
Let p(k) be the third derivative of -k**6/360 + k**5/30 - k**4/6 + 4*k**3/9 + 2*k**2. Factor p(v).
-(v - 2)**3/3
Let n(c) = c**5 - 2*c**4 + 4*c**3 - 3*c. Let f(v) be the third derivative of -v**6/120 + v**4/24 + 2*v**2. Let h(u) = 3*f(u) + n(u). Solve h(t) = 0.
0, 1
Factor -4 + 40 - 111 + 14*j + 16*j - 3*j**2.
-3*(j - 5)**2
Let r = 48 + -31. Let m = r + -17. Find t, given that 2/5*t**3 + 2/5*t**2 + 0*t + m = 0.
-1, 0
Let u = -10 - -12. Let z be (u/4)/(5 + -4). Determine x so that 0*x + 3/2*x**3 + 3/2*x**4 + z*x**5 + 0 + 1/2*x**2 = 0.
-1, 0
Let b(t) be the second derivative of 1/6*t**3 - 1/10*t**5 + 1/30*t**6 + 1/42*t**7 + 2*t - 1/6*t**4 + 1/2*t**2 + 0. Suppose b(y) = 0. Calculate y.
-1, 1
Let u(t) be the first derivative of -t**5/20 + t**4/12 + t**3/3 + 3*t - 1. Let p(n) be the first derivative of u(n). Let p(s) = 0. Calculate s.
-1, 0, 2
Let c be ((-5)/(-45))/((3 - 2)/6). Find k such that 2/3*k**3 + 0 + 0*k + c*k**2 - 4/3*k**4 = 0.
-1/2, 0, 1
Suppose -4 = 5*m - 14. Let g(s) be the first derivative of 0*s - 2 + 1/2*s**4 - s**m + 0*s**3. Factor g(z).
2*z*(z - 1)*(z + 1)
Let o(u) be the first derivative of u**6/2 - 12*u**5/5 + 3*u**4 + 2*u**3 - 15*u**2/2 + 6*u + 17. Determine w so that o(w) = 0.
-1, 1, 2
Let t(o) be the third derivative of 3*o**8/112 - 17*o**7/70 + 33*o**6/40 - 23*o**5/20 + 2*o**3 + o**2. Solve t(i) = 0 for i.
-1/3, 1, 2
Let o(y) = -4*y**4 - 9*y**3 + 4*y**2 - 9*y. Let j(z) = z**4 + 2*z**3 - z**2 + 2*z. Let x = 7 - 3. Let m(h) = x*o(h) + 18*j(h). Factor m(v).
2*v**2*(v - 1)*(v + 1)
Let t(y) be the first derivative of -1/3*y**2 - 1 + 0*y**3 - 4/9*y + 1/18*y**4. Solve t(m) = 0 for m.
-1, 2
Suppose -2*i = u - 1, 2*i = -3*i + 5*u - 5. Suppose 3*q = -4*n + 26, 4*n + n - 5*q - 50 = i. Solve 4*z**2 - 3*z**2 + 5 + 3 + n*z + z**2 = 0 for z.
-2
Let q(w) = 3*w + 1. Let m be q(-8). Let b = m - -70/3. Factor 0*y + 1/3*y**2 - b.
(y - 1)*(y + 1)/3
Solve 2/5*a**2 + 8/5 + 8/5*a = 0 for a.
-2
Let s(r) be the first derivative of r**6/30 + 4*r**5/25 + r**4/4 + 2*r**3/15 - 5. Determine a, given that s(a) = 0.
-2, -1, 0
Let i(t) be the first derivative of -3*t**5/10 + 3*t**4/8 + t**3 - 10. Factor i(d).
-3*d**2*(d - 2)*(d + 1)/2
Let g = 177 - 175. Find v, given that v - 9/2*v**g + 15/2*v**4 + 2*v**3 + 0 = 0.
-1, 0, 1/3, 2/5
Let d(z) be the third derivative of -z**5/20 - 3*z**4/8 - z**3 - 8*z**2. Factor d(o).
-3*(o + 1)*(o + 2)
Let x(q) be the first derivative of -q**5/40 - q**4/12 + q**3/12 + q**2/2 + 2*q + 4. Let m(z) be the first derivative of x(z). Suppose m(f) = 0. Calculate f.
-2, -1, 1
Let o(u) be the third derivative of -u**8/1008 - 2*u**7/315 - u**6/90 + u**5/90 + 5*u**4/72 + u**3/9 + 5*u**2. Factor o(w).
-(w - 1)*(w + 1)**3*(w + 2)/3
Let q(k) be the first derivative of k**3/1