 0 + 0*u**2 + 1/9*u**3 + 4/45*u**6 + 1/5*u**5 + 1/63*u**7. Factor m(h).
2*h*(h + 1)**4/3
Let p(z) be the third derivative of -z**9/37800 - z**8/8400 + z**6/900 + z**5/300 - z**4/8 - 2*z**2. Let b(f) be the second derivative of p(f). Factor b(h).
-2*(h - 1)*(h + 1)**3/5
Let j be (2/(-4))/(2/(-4)). Let o(u) = -3*u**4 - 2*u**3 - u + 1. Let q(z) = z**4 + z - 1. Let t = 2 + -1. Let r(y) = j*o(y) + t*q(y). Find a such that r(a) = 0.
-1, 0
Let f(n) be the second derivative of n**4/6 + 10*n**3/3 + 11*n. Suppose f(w) = 0. Calculate w.
-10, 0
Let h(w) be the first derivative of w**5/120 - w**4/6 + 4*w**3/3 - 3*w**2/2 + 5. Let c(g) be the second derivative of h(g). Find k, given that c(k) = 0.
4
Suppose 3*n - 2 = i + n, 2 = -5*i + 2*n. Suppose -2*l - 5*r + r - 8 = i, -3*l + r + 2 = 0. Factor -3/2*q - 3/2*q**3 + l - 3*q**2.
-3*q*(q + 1)**2/2
Let h(l) be the third derivative of 1/300*l**6 - l**2 + 0*l - 1/525*l**7 + 0 + 1/150*l**5 + 0*l**3 - 1/60*l**4. Determine p, given that h(p) = 0.
-1, 0, 1
Let p be 115/(-138) - 1*-1. Let l(u) be the first derivative of 1/3*u**3 + 1/4*u**4 - 1 - 1/5*u**5 - p*u**6 + 0*u**2 + 0*u. Factor l(b).
-b**2*(b - 1)*(b + 1)**2
Let j(q) be the third derivative of q**6/20 + q**5/40 - q**4/4 - q**3/4 + q**2. What is v in j(v) = 0?
-1, -1/4, 1
Let n = -21 + 26. Let g(i) be the first derivative of -2/35*i**n - 3/14*i**4 - 1/7*i**2 - 2/7*i**3 + 2 + 0*i. Determine t so that g(t) = 0.
-1, 0
Let k(c) be the first derivative of 3*c**5/5 + 66. Factor k(g).
3*g**4
Let y(p) = -p + 12. Let d(i) = -5*i + 49. Let f(g) = -2*d(g) + 9*y(g). Let s be f(-7). Factor -1/3*r**4 + 0*r - 2/3*r**s - 1/3*r**2 + 0.
-r**2*(r + 1)**2/3
Let h(j) be the third derivative of j**6/60 - j**5/4 - j**4/3 - 8*j**2. Factor h(k).
k*(k - 8)*(2*k + 1)
Suppose 3*d + 3*i - 11 = 2*i, 2*i - 4 = 3*d. Let h(v) be the first derivative of -1/3*v + 0*v**d + 1 + 1/9*v**3. Find y, given that h(y) = 0.
-1, 1
Let f be (-21)/(-55) + 4 + 184/(-44). Find q such that f*q**2 + 0 - 2/5*q = 0.
0, 2
Suppose y + 16 = j + 2*j, j + 5*y + 16 = 0. Let z be 6/(1 + (-2)/(-4)). What is v in 3*v**j - 5*v**z + 1 - 1 = 0?
0
Let j(z) be the second derivative of z**6/600 - z**4/120 + 5*z**2/2 - 11*z. Let h(w) be the first derivative of j(w). Solve h(u) = 0.
-1, 0, 1
Suppose 20 = 5*p - 5*w, p + 4*w = -2 - 4. Let p*v**2 + 1 + v**2 - 2 - 2 = 0. Calculate v.
-1, 1
Let n(b) = 7*b + 14. Let x be n(-2). Let t(s) be the third derivative of -3*s**2 + x + 0*s**3 - 1/12*s**4 + 0*s - 1/60*s**6 - 1/15*s**5. Factor t(a).
-2*a*(a + 1)**2
Suppose a - 8 + 3 = 0. Let l(s) be the second derivative of s + 0*s**4 + 14/15*s**6 + 0*s**2 + 0*s**3 + 0 - 7/6*s**7 - 1/5*s**a. Factor l(f).
-f**3*(7*f - 2)**2
Let u = 2/191 + 754/955. Let p = 22/15 - u. Factor 0*c + 0 + 0*c**2 + 2/3*c**5 + p*c**3 + 4/3*c**4.
2*c**3*(c + 1)**2/3
Let c be 5/4 + (-8)/32. Solve 3*o**3 - 3*o + 4 - c - 4*o**2 + 0 + o**2 = 0 for o.
-1, 1
Factor -a**4 - 3*a**4 + 8*a**3 + 4*a**2 - 3*a**2 - 5*a**2.
-4*a**2*(a - 1)**2
Let q(l) = -8*l**3 + 20*l + 3. Let d(t) = t**3 - 1. Let z(c) = -3*d(c) - q(c). Factor z(a).
5*a*(a - 2)*(a + 2)
Factor a**3 - a**2 - 29*a**5 + 14*a**5 + a**4 - 2*a**3 + 16*a**5.
a**2*(a - 1)*(a + 1)**2
Factor -1/5*x**5 + 8/5 + 8/5*x**4 - 28/5*x + 38/5*x**2 - 5*x**3.
-(x - 2)**3*(x - 1)**2/5
Let y = 78 - 40. Let c = y + -113/3. Factor 1/3 - 1/3*u**3 + 1/3*u - c*u**2.
-(u - 1)*(u + 1)**2/3
Let w(y) be the third derivative of 0 + 0*y**4 + 0*y - 1/60*y**6 - 2*y**2 + 0*y**3 + 1/30*y**5. Factor w(x).
-2*x**2*(x - 1)
Let b be (7 - 1)*4/6. Let p(g) = -g + 1. Let j(w) = -w**2 + w. Let n(m) = -6*j(m) - 5*p(m). Let t(q) = 5*q**2 - q - 4. Let s(r) = b*n(r) - 5*t(r). Factor s(l).
-l*(l - 1)
Let w(r) be the third derivative of -1/240*r**6 + 0*r + 7*r**2 + 0 + 1/48*r**4 + 1/12*r**3 - 1/120*r**5. Solve w(g) = 0.
-1, 1
Let d = -114 + 2737/24. Let l(a) be the second derivative of 0*a**2 + a + d*a**3 - 1/48*a**4 + 0. What is i in l(i) = 0?
0, 1
Let t(c) be the second derivative of c**6/360 + c**5/40 + c**4/12 - c**3/2 - 2*c. Let s(z) be the second derivative of t(z). Factor s(l).
(l + 1)*(l + 2)
Let s(u) = -2*u**3 + 9*u**2 + 29. Let l be s(5). Find b, given that 0*b + 1/2*b**l + 0 + 1/2*b**2 + b**3 = 0.
-1, 0
Suppose 4*b - 4*g - 3 = b, 0 = -5*b + 3*g + 5. Let z be b*-3 - 26/(-6). Factor 0*s + 2/3*s**2 - z*s**3 + 0.
-2*s**2*(2*s - 1)/3
Let a = 8 - 20. Let r = -7 - a. Factor 18/5*x**3 + 0 - 14/5*x**2 + 4/5*x - 2*x**4 + 2/5*x**r.
2*x*(x - 2)*(x - 1)**3/5
Let a be (-10)/35 - 210/(-49). Solve 2/3*f**5 + 0*f + 0*f**3 + 0*f**2 + 0*f**a + 0 = 0.
0
Let d = 575 - 1149/2. What is c in 1/6*c**4 + 0*c - d*c**2 + 0 - 1/3*c**3 = 0?
-1, 0, 3
Factor 0 - 1/3*p**4 + 0*p**2 - p**3 + 4/3*p.
-p*(p - 1)*(p + 2)**2/3
Suppose 25 = 5*j - 3*u, -4*j + 3 + 17 = -4*u. Let d(g) be the third derivative of 0*g**3 + 0*g**4 + 1/270*g**j + 2*g**2 + 0 + 0*g. Factor d(c).
2*c**2/9
Factor 0*f - 4/7*f**4 + 0 + 3/7*f**3 + 1/7*f**5 + 0*f**2.
f**3*(f - 3)*(f - 1)/7
Let n(x) be the third derivative of x**7/2940 - x**3/3 + x**2. Let r(f) be the first derivative of n(f). Determine k, given that r(k) = 0.
0
Find z, given that -16/3*z + 0 - 1/3*z**3 - 10/3*z**2 = 0.
-8, -2, 0
Let l(y) = -2*y**5 + 12*y**4 + 4*y**3 - 14*y**2 - 2*y - 8. Let d(m) = -m**4 + m**2 + 1. Let p(c) = -10*d(c) - l(c). Suppose p(x) = 0. What is x?
-1, 1
Suppose 4*v + 4 = -k, -24 = -k - 3*k + 4*v. Factor 0 - 3/2*n**3 + 3/2*n - 3/2*n**k + 3/2*n**2.
-3*n*(n - 1)*(n + 1)**2/2
Let c(h) be the third derivative of h**7/840 + 7*h**6/1920 - h**5/320 - h**4/24 - 8*h**2. Let w(z) be the second derivative of c(z). Factor w(y).
3*(y + 1)*(8*y - 1)/8
Factor -2/5*c**2 - 72/5 - 24/5*c.
-2*(c + 6)**2/5
Let b(m) be the first derivative of 0*m - 1/180*m**6 + 2/3*m**3 - 1/12*m**4 + 1/30*m**5 + 0*m**2 - 1. Let x(l) be the third derivative of b(l). Factor x(w).
-2*(w - 1)**2
Let p be (11/(-2) - -4)/(15/(-40)). Factor -8/3*y**2 - 6*y**p + 2/3 + 5/3*y**5 - y + 22/3*y**3.
(y - 1)**4*(5*y + 2)/3
Let r = 35/2 - 17. Factor -1/2*z**3 + 0 + 0*z**2 + r*z.
-z*(z - 1)*(z + 1)/2
Let x(s) be the second derivative of s**6/90 + s**5/20 - s**4/6 - s**3/3 - s. Let k(r) be the second derivative of x(r). Factor k(f).
2*(f + 2)*(2*f - 1)
Let i(y) be the third derivative of y**6/40 + y**5/20 - 26*y**2. Let i(d) = 0. Calculate d.
-1, 0
Factor -22*a**4 + 12*a**5 - 3*a**2 + 5*a**2 + 21*a**3 - 13*a**3.
2*a**2*(a - 1)**2*(6*a + 1)
Let f(k) be the third derivative of -k**7/70 - k**6/40 + 15*k**2. Factor f(r).
-3*r**3*(r + 1)
Suppose 27*t + 21*t - 54*t + 4 + 2*t**2 = 0. Calculate t.
1, 2
Let o be (-10)/(-6) + (4 - 5)/3. Factor 0*t - 2/3*t**2 + 0 - 2/3*t**4 + o*t**3.
-2*t**2*(t - 1)**2/3
Let n(y) be the second derivative of y**6/45 - y**5/30 - 7*y**4/18 + 13*y**3/9 - 2*y**2 + 21*y. Factor n(g).
2*(g - 2)*(g - 1)**2*(g + 3)/3
Let r(o) = -o**3 - 12*o**2 + 14*o + 13. Let c be r(-13). Let j = 0 - c. Factor 0 - 2/5*d - 2/5*d**5 + j*d**4 + 4/5*d**3 + 0*d**2.
-2*d*(d - 1)**2*(d + 1)**2/5
Let y(o) = o**4 + 5*o**3 - o**2 + o. Let w(k) = 4*k**3. Let h(x) = 6*w(x) - 4*y(x). Let h(z) = 0. What is z?
-1, 0, 1
Let f(p) be the first derivative of 8*p**5/5 + p**4/2 - 8*p**3/3 - p**2 - 6. Factor f(t).
2*t*(t - 1)*(t + 1)*(4*t + 1)
Let x(r) be the second derivative of -r**4/6 + 2*r**3/3 - r**2 + r. Determine u, given that x(u) = 0.
1
Let d be ((-2 + 4)/48)/(4/8). Let z(y) be the second derivative of -d*y**4 + 0*y**2 + 1/18*y**3 - 1/90*y**6 + 4*y + 0 + 1/20*y**5. Factor z(a).
-a*(a - 1)**3/3
Suppose 0*s + 0 - 1/7*s**2 = 0. Calculate s.
0
Let l(d) be the first derivative of -d**5/30 + d**4/18 + d**3/9 - d**2/3 + d - 1. Let b(h) be the first derivative of l(h). Let b(n) = 0. What is n?
-1, 1
Suppose 0 = 8*f - 0*f - 24. Let c(q) be the second derivative of -1/24*q**f + 1/24*q**4 + 0 - 1/8*q**2 - 3*q. Let c(n) = 0. What is n?
-1/2, 1
Let h = 1178 + -141359/120. Let i(w) be the second derivative of 0*w**3 + 0 - 1/48*w**4 + h*w**6 + 0*w**2 + w + 1/168*w**7 - 1/80*w**5. Factor i(d).
d**2*(d - 1)*(d + 1)**2/4
Suppose 0 = 2*z - 0*u + u - 11, -z + 28 = -4*u. Suppose -f - z = -5*f. Find o such that 4*o**2 - 4*o**2 - 6*o - 4 + f*o**3 = 0.
-1, 2
What is s in 2/3 - 7/3*s**2 + 5/3*s = 0?
-2/7, 1
Let r(q) be the third derivative of -q**8/112 - q**7/70 + q**6/20 + q**5/10 - q**4/8 - q**3/2 + 7*q**2. Let r(x) = 0. What is x?
