culate h.
-1, 2/3
Factor -16/5*a + 24/5*a**2 + 4/5 + 4/5*a**4 - 16/5*a**3.
4*(a - 1)**4/5
Let q = 6 + -4. Let 3*a**5 - 4*a**5 - 2*a**3 + 3*a**5 - q*a**4 + 3*a**2 - a**2 = 0. Calculate a.
-1, 0, 1
Let r be 8/12*(-9)/(-3). Let z(f) be the second derivative of 13/25*f**5 - r*f - 1/10*f**4 - 1/5*f**6 - 4/5*f**3 + 4/5*f**2 + 0. What is s in z(s) = 0?
-2/3, 2/5, 1
Determine i, given that 0*i**2 + 0*i - 4/5*i**3 + 0 = 0.
0
Suppose -3*t + 3*p - 3 = 0, -5*p = -4*t + 5*t - 17. Factor -6*r**2 + r**2 + 2*r**2 + t*r**2.
-r**2
Let -2/9*g**2 + 2/3 + 4/9*g = 0. Calculate g.
-1, 3
Let r(o) be the first derivative of 4*o**3/3 - 4*o**2 + 4*o + 5. Determine q, given that r(q) = 0.
1
Let s(i) be the third derivative of -i**6/64 - 3*i**5/40 - i**4/16 + 54*i**2 - i. Find m such that s(m) = 0.
-2, -2/5, 0
Let h(v) = -2*v**3 + 12*v**2 + 10*v - 10. Let m(g) be the first derivative of g**3/3 + g**2/2 - g + 2. Let r(s) = h(s) - 10*m(s). Solve r(u) = 0 for u.
0, 1
Factor -1/3*q**2 + 0 + 1/3*q**3 + 0*q.
q**2*(q - 1)/3
Let g(u) be the first derivative of -64/5*u**5 - 2 - 44/3*u**3 + 128/3*u**6 - 36*u**4 - 2*u**2 + 0*u. Solve g(q) = 0 for q.
-1/4, 0, 1
Let r(k) be the first derivative of 1/5*k**5 + 2 + 0*k + 0*k**3 + 3/4*k**4 - 2*k**2. Factor r(y).
y*(y - 1)*(y + 2)**2
Suppose 4 = -i, -p + 2*p - 5*i = 35. Suppose p*m - 17*m = 0. Suppose 1/4*g**3 + 0*g + m - 1/4*g**2 = 0. What is g?
0, 1
Let z(f) be the third derivative of 0*f**4 + 0*f**7 + 0 + f**2 + 1/1848*f**8 + 0*f**5 + 0*f + 0*f**6 + 0*f**3. Factor z(r).
2*r**5/11
Let z(o) be the second derivative of -o**6/195 - 3*o**5/130 - o**4/78 - 3*o**2 + 4*o. Let t(l) be the first derivative of z(l). Factor t(m).
-2*m*(m + 2)*(4*m + 1)/13
Let m = -24 + 44. Let n = m - 14. Factor 14*i - 5*i**3 - 4*i + 3*i**3 - n*i**2 - 4 + 2*i**4.
2*(i - 1)**3*(i + 2)
Let o be (-1)/(2*(-5)/30). Factor 0*r**2 - 6/7*r + 4/7 + 2/7*r**o.
2*(r - 1)**2*(r + 2)/7
Let y(n) be the second derivative of n**5/330 - n**4/44 + 2*n**3/33 - n**2/2 - 5*n. Let j(s) be the first derivative of y(s). Solve j(m) = 0 for m.
1, 2
Suppose y = 2*y - 2. Suppose y*u + g - 7 = 10, -3*u + 20 = -4*g. Determine x so that -10*x**2 + 10*x**4 + x - 6*x**3 + u*x**5 + 0*x - 3*x = 0.
-1, -1/4, 0, 1
Let u(j) = -j**3 - 2*j**2 - j + 1. Let n be u(-2). Factor 7*r - 2 - 4*r**2 - 5*r + 6 + 4*r - 6*r**n.
-2*(r - 1)*(r + 1)*(3*r + 2)
Let h(k) be the third derivative of -k**6/260 - 11*k**5/390 - k**4/26 - 19*k**2. Determine j, given that h(j) = 0.
-3, -2/3, 0
Let n(x) = 13*x**2 - 4*x. Let u(m) = 2*m. Let z(i) = 20*i**2 + 12*i. Let p(k) = -18*u(k) + 2*z(k). Let y(a) = -10*n(a) + 3*p(a). Find g such that y(g) = 0.
0, 2/5
Suppose -t + 2*t = -d, 0 = -5*d + t + 24. Factor 7/4*o**d + 1/4*o**5 + 2*o + 9/2*o**3 + 0 + 5*o**2.
o*(o + 1)*(o + 2)**3/4
Let f(j) = j**3 + 10*j**2 + 20*j + 32. Let b be f(-8). Factor 0*a**4 + 0*a - 1/2*a**5 + b*a**2 + 0 + 0*a**3.
-a**5/2
Factor 3*i - 10*i**4 + 0*i**5 + 2*i**3 + 16*i**3 - 14*i**2 + i + 2*i**5.
2*i*(i - 2)*(i - 1)**3
Let i(n) be the second derivative of -n**4/6 + 2*n**3/3 + 3*n**2 - 18*n. Factor i(s).
-2*(s - 3)*(s + 1)
Let z(h) be the third derivative of h**6/300 + h**5/50 + h**4/30 + 15*h**2. Factor z(y).
2*y*(y + 1)*(y + 2)/5
Let s(r) be the first derivative of -r**7/980 - r**6/840 + r**5/280 - 2*r**3/3 - 1. Let f(l) be the third derivative of s(l). What is j in f(j) = 0?
-1, 0, 1/2
Let -f**2 + 15*f + 3*f**2 - 7*f**2 - 10 = 0. Calculate f.
1, 2
Let v = -1 - 4. Let x be (-3 + (-26)/(-10))*v. What is i in 3*i**x - 4*i - 3*i**4 + 3*i + 7*i**3 - 5*i**5 - i = 0?
-1, 0, 2/5, 1
Let k(x) be the second derivative of 2/3*x**4 - x**2 + 0 + 7/10*x**5 - 3*x - 4/3*x**3. Let p(z) be the first derivative of k(z). Factor p(v).
2*(3*v + 2)*(7*v - 2)
Let g(l) be the first derivative of l**5/10 + l**4/4 + l**3/6 - 4. Let g(t) = 0. What is t?
-1, 0
Let h(n) be the second derivative of -n**6/20 + n**5/80 + 3*n**4/8 - 5*n**3/8 + n**2/4 + 22*n. Suppose h(b) = 0. Calculate b.
-2, 1/6, 1
Suppose 0 = -u, -5*v + 2*u + 0*u + 35 = 0. Let a be 8/(-48) + v/18. Factor -4/9 + a*c**2 - 2/9*c.
2*(c - 2)*(c + 1)/9
Factor 0 - 2/23*o**2 + 16/23*o.
-2*o*(o - 8)/23
Factor 2 + 7*y**2 - 14*y**3 + 7 + 15*y**3 + 15*y.
(y + 1)*(y + 3)**2
Let a(z) be the second derivative of -z**7/105 - z**6/20 - z**5/30 + z**4/4 + 2*z**3/3 + z**2 - 3*z. Let b(w) be the first derivative of a(w). Factor b(x).
-2*(x - 1)*(x + 1)**2*(x + 2)
Let v be (-4)/(-2) - 2/(-1). Suppose -5 = -3*f + v. Let x(c) = 5*c**2 + 4*c - 5. Let q(w) = 4*w**2 + 3*w - 4. Let z(a) = f*x(a) - 4*q(a). Factor z(t).
-(t - 1)*(t + 1)
Let i = 416 + -2076/5. Suppose 12/5*w**3 - 8/5*w**2 + 4/5 - 6/5*w**5 + i*w**4 - 6/5*w = 0. What is w?
-1, 2/3, 1
Let u(t) be the first derivative of -2 - 1/4*t**4 + 0*t**5 + 0*t**2 + 2*t + 1/30*t**6 + 1/3*t**3. Let g(j) be the first derivative of u(j). Factor g(k).
k*(k - 1)**2*(k + 2)
Let i = -4 - -7. Suppose p + 7 + i = 2*c, -2*p - 8 = 0. Factor 10/7*b**4 + 36/7*b**c + 0 - 16/7*b + 24/7*b**2.
2*b*(b + 2)**2*(5*b - 2)/7
Let s be (0/(-1))/(-1) - -2. Suppose 0*h - h = -4*n + 3, 2 = -s*h + 4*n. Let v(o) = -1. Let a(d) = -2*d**2 + 8*d - 10. Let r(j) = h*a(j) - 2*v(j). Factor r(m).
-2*(m - 2)**2
Let x(b) be the second derivative of b**4/12 + b**3/6 - 4*b. Factor x(v).
v*(v + 1)
Let n(v) = -v**2 + 6*v + 5. Let y be n(7). Let l = y + 4. Factor l*i + i**2 - 5 + i**2 + 1.
2*(i - 1)*(i + 2)
Let s be ((-3)/2)/((-3)/4). Let k = 23 - 20. Solve l**5 + 2*l**5 - 5*l**5 - s*l**k - 4*l**4 = 0.
-1, 0
Let s(k) = -2*k**4 + 11*k**3 - 4*k**2 - 5. Let n(u) = -2*u**4 + 10*u**3 - 4*u**2 - 4. Let c(d) = 5*n(d) - 4*s(d). What is l in c(l) = 0?
0, 1, 2
Let a = -1/102 - -3/17. Let u(s) be the second derivative of -1/36*s**4 + a*s**2 + 2*s + 0*s**3 + 0. Factor u(y).
-(y - 1)*(y + 1)/3
Let o(c) = -c**3 + c**2 + 84. Let u be o(0). Let l be (7/u)/((-1)/(-3)). Factor 0 - 1/2*y - l*y**3 - 3/4*y**2.
-y*(y + 1)*(y + 2)/4
Let f(o) be the first derivative of -2/5*o**2 - 2/5*o**4 + 0*o - 6 + 2/3*o**3 + 2/25*o**5. Factor f(h).
2*h*(h - 2)*(h - 1)**2/5
Factor 1/4 - 1/4*m**3 - 1/4*m**2 + 1/4*m.
-(m - 1)*(m + 1)**2/4
Let v = 16 - 13. Let t(x) be the third derivative of 1/630*x**7 + 1/72*x**4 - 1/180*x**5 - x**2 + 0*x + 0 + 0*x**v - 1/360*x**6. Let t(m) = 0. Calculate m.
-1, 0, 1
Suppose -18 + 18 = 27*u. Solve 2/3*j - 1/3*j**2 - 1/3*j**3 + u = 0.
-2, 0, 1
Suppose -2*q = q - 12. Determine z, given that -3*z + 4*z + 5*z - 15*z**2 - 6*z**3 + 15*z**q = 0.
-1, 0, 2/5, 1
Let m(s) be the second derivative of 9*s**7/14 - 3*s**6/5 - 42*s**5/5 + 4*s**4 + 40*s**3 + 48*s**2 + 18*s. Find r such that m(r) = 0.
-2, -2/3, 2
Let t(o) be the second derivative of 5*o**4/12 + 20*o**3/3 + 40*o**2 + 7*o. Determine u, given that t(u) = 0.
-4
Factor 1/5*n**3 + 3/5*n**2 + 2/5*n + 0.
n*(n + 1)*(n + 2)/5
Let o(d) = 3*d**4 - 15*d**3 - 27*d**2 + 15*d + 12. Let a(h) = h**4 - 6*h**3 - 11*h**2 + 6*h + 5. Let p(q) = 12*a(q) - 5*o(q). What is l in p(l) = 0?
-1, 0, 1
Suppose -3 + 2 - 11 - 5*h**2 + h**2 - 16*h = 0. What is h?
-3, -1
Suppose 0*u + 2*u - 10 = 0. Suppose -u*n - 35 = -2*s, 0*s + 20 = 5*s + n. Solve 1/2*d + 0 + d**2 - 1/2*d**s + 0*d**3 - d**4 = 0.
-1, 0, 1
Let u(q) be the second derivative of q**4/4 + q**3/3 - q**2/2 + 2*q. Let o be u(1). Solve 2*a**2 - 2*a**2 + 2*a**2 + 2*a**4 - o*a**3 = 0.
0, 1
Let q = -472 - -337. Let c be ((-18)/q)/(2/10). Factor 2/3*w**5 + 4/3*w**2 - c*w + 0 + 0*w**3 - 4/3*w**4.
2*w*(w - 1)**3*(w + 1)/3
Let p(k) be the second derivative of k**9/45360 + k**4/12 - 2*k. Let f(b) be the third derivative of p(b). Factor f(q).
q**4/3
Let p be (-2 - 226/(-18)) + -10. Solve 1/9*i**4 + 0 + p*i**3 + 8/9*i**2 + 4/9*i = 0 for i.
-2, -1, 0
Let w(c) be the third derivative of -c**8/26880 - c**5/30 - 6*c**2. Let y(l) be the third derivative of w(l). Let y(s) = 0. Calculate s.
0
Let b(g) be the first derivative of 0*g - 1/30*g**5 + 0*g**4 + 0*g**2 - 2 - 4/3*g**3 - 1/180*g**6. Let p(r) be the third derivative of b(r). Factor p(u).
-2*u*(u + 2)
Factor i**2 + 3*i**2 + 8*i - 6*i**2 - 4*i.
-2*i*(i - 2)
Suppose -11*x + 6 + 38 = 0. Let t(v) be the first derivative of 1 - 1/6*v**3 + 5/16*v**x + 1/2*v - 5/8*v**2. Find n, given that t(n) = 0.
-1, 2/5, 1
Let p(w) = -4*w - 20. Let y be p(-6). Let l be (-16)/(-5) - y/(-5). Factor 3/2*u**5 + 0*u + 0*u**3 + 0 - 3/2*u**l + 0*u**2.
3*u**4*(u - 1)/2
