 -q**6/24 - q**5/10 - q**4/16 + 31. Factor k(m).
-m**3*(m + 1)**2/4
Suppose b - 5*b + 4 = u, -4*b + 4 = -u. Let n(i) be the first derivative of u*i + 10/27*i**3 - 1 + 1/9*i**2. Determine y so that n(y) = 0.
-1/5, 0
Let l(i) be the third derivative of i**5/300 - 23*i**4/60 + 529*i**3/30 + 8*i**2. Factor l(o).
(o - 23)**2/5
Let o(s) = -s**3 - 7*s**2 - 7*s - 5. Let h be o(-6). Let n(w) be the first derivative of -2/27*w**3 + 2/9*w**2 - h + 0*w. Factor n(r).
-2*r*(r - 2)/9
Let a(t) = -4*t**5 + t**4 - 2*t**3 - 4*t**2 + 3*t - 3. Let l(u) = -5*u**5 + u**4 - 3*u**3 - 5*u**2 + 4*u - 4. Let d(q) = 4*a(q) - 3*l(q). Factor d(k).
-k**2*(k - 1)**2*(k + 1)
Suppose 2 = -a, 0 = m + a - 0 - 1. Suppose 0 = 2*t + 3*b + 3, -t - 4*b = m*t. Factor 0 - 2/5*r - 2/5*r**2 + 2/5*r**t + 2/5*r**4.
2*r*(r - 1)*(r + 1)**2/5
Let t(l) be the second derivative of -l**6/120 + l**5/40 + 2*l**3/3 + 4*l. Let u(z) be the second derivative of t(z). Factor u(c).
-3*c*(c - 1)
Let l(w) be the second derivative of -w - 1/3*w**3 + 1/6*w**4 + 0*w**2 + 0. Factor l(k).
2*k*(k - 1)
Let z(h) be the third derivative of h**6/480 + h**5/240 + 10*h**2. Determine f, given that z(f) = 0.
-1, 0
Suppose -6*q + 4*q + 4 = 0. Let o be 4/8*(4 + -3). Let q + o*y**2 + 2*y = 0. Calculate y.
-2
What is s in -8/9*s + 62/9*s**4 + 14/3*s**3 - 8/9*s**2 + 0 + 20/9*s**5 = 0?
-2, -1, -1/2, 0, 2/5
Let a(k) be the third derivative of -1/4*k**4 + k**2 + 2/3*k**3 + 0 + 1/30*k**5 + 0*k. What is s in a(s) = 0?
1, 2
Suppose 2*m = -10, -3*x - 1 = 2*m - 0. Suppose y**3 - 3 + 12*y - 18*y**2 + 17*y**3 - x*y**4 - 6*y**3 = 0. Calculate y.
1
Let b(l) be the third derivative of -l**6/20 - l**5/20 + l**4/4 + l**3/2 - 3*l**2. Solve b(r) = 0 for r.
-1, -1/2, 1
Let v(p) be the third derivative of p**6/1080 + p**5/90 + p**4/18 - p**3/3 + 3*p**2. Let d(r) be the first derivative of v(r). Solve d(m) = 0.
-2
Let t(g) = g - 2. Let c be t(5). Let i(a) be the first derivative of 2 - 2*a**c + 7/3*a**2 + 4/3*a. Factor i(b).
-2*(b - 1)*(9*b + 2)/3
Let b(u) be the first derivative of -2/3*u**3 + 0*u + 2/5*u**5 + 1/2*u**4 + 0*u**2 - 3 - 1/3*u**6. Factor b(c).
-2*c**2*(c - 1)**2*(c + 1)
Let l(g) be the second derivative of g**4/12 + 4*g**3/3 + 7*g**2/2 + 10*g. Factor l(i).
(i + 1)*(i + 7)
Let u(m) be the first derivative of m**8/1176 + m**7/735 - m**6/420 - m**5/210 + m**2/2 - 5. Let d(i) be the second derivative of u(i). Factor d(z).
2*z**2*(z - 1)*(z + 1)**2/7
Suppose 138*q - 8 = 134*q. Factor -2*v + 0 - 2/3*v**q.
-2*v*(v + 3)/3
Let o(p) be the third derivative of 2*p**7/105 + p**6/15 - p**5/15 - p**4/3 + 3*p**2. Factor o(v).
4*v*(v - 1)*(v + 1)*(v + 2)
Suppose -3*h + 2 = 17, -4*x - 4*h + 44 = 0. Let o be ((-6)/(-30))/(2/x). Factor -18/5*w**3 + o*w**4 + 12/5*w**2 - 2/5*w + 0.
2*w*(w - 1)**2*(4*w - 1)/5
Let r(c) be the second derivative of -5*c**4/18 - 4*c**3/9 - 4*c**2/15 - 5*c. Suppose r(k) = 0. What is k?
-2/5
Let p(m) = -2*m + 2*m**2 + 2*m**2 + 4 + m**2. Let k(g) = 15*g**2 - 6*g + 11. Let l(o) = -4*k(o) + 11*p(o). Factor l(z).
-z*(5*z - 2)
Let d(h) = -h**4 - 12*h**3 - 18*h**2 + 8*h + 13. Let p(c) = c**4 + 13*c**3 + 19*c**2 - 9*c - 12. Let y(w) = 6*d(w) + 5*p(w). Factor y(n).
-(n - 1)*(n + 2)*(n + 3)**2
Let l(p) be the first derivative of -p**4/4 - 2*p**3/3 - p**2/2 + 7. Let z be l(-1). Factor -2/3*t**5 - 2/3*t**3 + z*t + 0 + 4/3*t**4 + 0*t**2.
-2*t**3*(t - 1)**2/3
Let n(z) be the first derivative of z**8/504 - 2*z**7/315 - z**6/60 + 2*z**5/45 + z**4/9 - z**2 - 1. Let a(s) be the second derivative of n(s). Factor a(k).
2*k*(k - 2)**2*(k + 1)**2/3
Let g(t) = -t**2 + t + 7. Let l be g(3). Let h(s) be the first derivative of -2*s**3 + 1/2*s**4 + 2*s**2 + 0*s + l. Factor h(c).
2*c*(c - 2)*(c - 1)
Let o be (-2)/(-11) + 156778/(-154). Let d = 1027 + o. Determine b so that -d + 160/7*b - 20/7*b**4 - 160/7*b**2 + 80/7*b**3 + 2/7*b**5 = 0.
2
Suppose -3*x - 2*w - 6 = -w, 2*x = -4*w - 4. Let i be ((-1)/x)/(5 + -4). Factor o + 1/2*o**2 + i.
(o + 1)**2/2
Let i(r) be the third derivative of -2*r**2 + 0*r - 1/112*r**8 + 0*r**7 + 0 + 1/10*r**5 + 0*r**4 + 0*r**3 + 3/40*r**6. Suppose i(j) = 0. Calculate j.
-1, 0, 2
Let n(k) be the second derivative of k**6/120 + k**5/20 + 5*k**4/48 + k**3/12 + 5*k. Factor n(d).
d*(d + 1)**2*(d + 2)/4
Determine t so that 81/2*t - 11/2*t**4 - 27/2 + 23*t**3 + 1/2*t**5 - 45*t**2 = 0.
1, 3
Let y(s) be the first derivative of 6*s**5/5 + 3*s**4/4 - 3*s**3 - 3*s**2/2 + 3*s + 43. Suppose y(i) = 0. What is i?
-1, 1/2, 1
Let j(v) = 3*v**3 + 9*v**2 + 6*v + 9. Let a(o) = -o**3 - 4*o**2 - 3*o - 4. Let s(y) = -9*a(y) - 4*j(y). Solve s(d) = 0.
-1, 0, 1
Let w be (-8)/(-6)*(-66)/(-242). Solve 2/11*l**2 - w + 2/11*l = 0.
-2, 1
Let q(v) be the third derivative of v**9/90720 - v**7/15120 - v**4/3 + 8*v**2. Let k(g) be the second derivative of q(g). Factor k(p).
p**2*(p - 1)*(p + 1)/6
Factor 2/7*a**2 + 0*a + 0 - 2/7*a**3.
-2*a**2*(a - 1)/7
Let h be (-13)/(-30) + (38/(-6) - -6). Let p(q) be the second derivative of 1/3*q**3 + 1/2*q**2 - h*q**5 + 0 + 2*q - 1/30*q**6 + 0*q**4. Factor p(w).
-(w - 1)*(w + 1)**3
Solve 157 + 156*y**3 + 149 - 520*y - 106 + 18*y**4 + 218*y**2 = 0.
-5, 2/3
Let d(m) be the second derivative of m**6/30 + m**5/10 - m**4/4 - 2*m**3/3 + 2*m**2 - 2*m - 5. Factor d(g).
(g - 1)**2*(g + 2)**2
Let m(r) be the third derivative of -r**6/420 - r**5/210 + r**4/42 + 5*r**2. Factor m(a).
-2*a*(a - 1)*(a + 2)/7
Factor 1/2*r**5 + r**3 + 1/2 - 3/2*r + r**2 - 3/2*r**4.
(r - 1)**4*(r + 1)/2
Let z(y) be the third derivative of y**4/24 + 5*y**3/3 - 7*y**2. Let f be z(-8). Factor 2/3*m**4 - 2/3*m + 4/3*m**3 + 2/3 - 4/3*m**f - 2/3*m**5.
-2*(m - 1)**3*(m + 1)**2/3
Let w(g) be the third derivative of -g**5/300 + g**4/24 - 2*g**3/15 - 8*g**2. Solve w(t) = 0 for t.
1, 4
Suppose -f - 5 = -4*w, w + 2*w = -5*f + 21. Factor -1 + 3*p**w - 2*p - 3 - p**2 + 4*p.
2*(p - 1)*(p + 2)
Let z(v) be the second derivative of v**7/168 + v**6/120 - v**5/80 - v**4/48 + 2*v. Factor z(g).
g**2*(g - 1)*(g + 1)**2/4
Let v(u) be the first derivative of -u**6/60 - u**5/12 - u**4/24 + u**3/3 - 2*u**2 + 5. Let g(d) be the second derivative of v(d). What is o in g(o) = 0?
-2, -1, 1/2
Determine o, given that 2 - 7*o + 2*o - 4*o**2 - 3*o**3 + 6*o = 0.
-1, 2/3
Let o be 3/(-6 + 15)*(0 - 0). Let j(d) be the second derivative of 1/4*d**4 + 0 + 1/30*d**6 + o*d**2 - 1/6*d**3 - 3*d - 3/20*d**5. Factor j(k).
k*(k - 1)**3
Let r = 11 + 2. Suppose 4*m + x = r, m + m - 11 = -5*x. Find y, given that -4/5*y + 2/5*y**4 + 4/5*y**m + 0*y**2 - 2/5 = 0.
-1, 1
Let k be (-10)/25 + (-202)/(-480). Let l(v) be the second derivative of 1/8*v**2 + 0*v**3 - k*v**4 + 0 - v. Factor l(w).
-(w - 1)*(w + 1)/4
Let u(y) be the third derivative of y**5/20 + y**4/2 + 2*y**3 - 5*y**2. Factor u(a).
3*(a + 2)**2
Let z = 71 + -69. Factor 5/3*l - l**z - 2/3.
-(l - 1)*(3*l - 2)/3
Let c(d) be the third derivative of d**6/36 - d**5/20 - d**4/24 + d**3/9 + 8*d**2. Let c(i) = 0. Calculate i.
-1/2, 2/5, 1
Suppose 10 = g - 4*m, -4 = -3*g + m - 2*m. Let y be -4*((-1)/(-9))/((-2)/6). Factor -2/3*k**g + 0*k - y*k**3 - 2/3*k**4 + 0.
-2*k**2*(k + 1)**2/3
Let g = 6 - 10. Let t be ((-1 + 2)*g)/(-2). Find l, given that -l**2 - 3 - l**2 - 6*l - l**t = 0.
-1
Let c(n) = 14*n + 14. Let b be c(-6). Let h be 4/10 - 572/b. Solve 18/7*g**3 + h*g**2 + 8*g + 16/7 = 0.
-2, -2/3
Let c be -1 - (1281/180)/(-7). Let m(r) be the third derivative of -c*r**5 + 2*r**2 + 0*r + 0 + 0*r**3 - 1/120*r**6 + 0*r**4. Factor m(p).
-p**2*(p + 1)
Let p be ((-31)/31)/(-1 - 2*1). Factor 0*l + 0 + p*l**2.
l**2/3
Let m(y) be the first derivative of 10*y**6/3 + 7*y**5 - 15*y**4/2 - 35*y**3/3 + 5*y**2 - 7. What is q in m(q) = 0?
-2, -1, 0, 1/4, 1
Let t be 3/9 - (-10)/6. Factor -o**3 + 4*o**2 - 5*o**2 - o**t - o.
-o*(o + 1)**2
Let w(b) = b + 1. Let z(v) = 28*v**2 - 46*v + 6. Let f(y) = 6*w(y) + z(y). Factor f(p).
4*(p - 1)*(7*p - 3)
Factor 0 + 0*b**2 + 0*b - 3/2*b**5 + 0*b**4 + 6*b**3.
-3*b**3*(b - 2)*(b + 2)/2
Let f(b) be the second derivative of b**4/6 + b**3/3 - 2*b**2 + 15*b. Factor f(q).
2*(q - 1)*(q + 2)
Let j(m) be the third derivative of m**7/2205 + m**6/315 + m**5/210 - m**4/63 - 4*m**3/63 - 14*m**2. Find i such that j(i) = 0.
-2, -1, 1
Let j = -5 - -7. Suppose j*g - 2*g**2 - 4*g + 0*g + 2*g**3 + 2*g**4 = 0. Calculate g.
-1, 0, 1
Suppose -3*f + 18 + 27 = 0. Su