vative of 5*k**8/168 - 32*k**7/105 + 23*k**6/20 - 23*k**5/15 - 5*k**4/3 + 8*k**3 + 12*k**2 - k. Factor l(i).
2*(i - 2)**3*(i - 1)*(5*i + 3)
Let w(t) be the first derivative of t**5/3 - 5*t**3/3 - 5*t**2/3 + 3. Factor w(s).
5*s*(s - 2)*(s + 1)**2/3
Let o(a) be the first derivative of 2*a**6/3 - 8*a**5/5 - 25. Factor o(d).
4*d**4*(d - 2)
Let k be 1 - (-2 + -2 - -3). Let i(c) = -c**3 + 2*c**2 + 2. Let n be i(2). Factor k*m**2 - 4*m**2 + 2*m**2 + n*m**3 - 2*m**2.
2*m**2*(m - 1)
Let c = -54 + 217/4. Let w(y) be the first derivative of -1/4*y + 1 - 1/12*y**3 + c*y**2. Factor w(t).
-(t - 1)**2/4
Let g(u) = -12*u**3 - 55*u**2 - 31*u + 23. Let w(h) = -3*h**3 - 14*h**2 - 8*h + 6. Let b(t) = -6*g(t) + 22*w(t). Find i, given that b(i) = 0.
-3, -1, 1/3
Let a(x) be the first derivative of 0*x + 9 + 3/8*x**4 + 1/6*x**3 + 0*x**2. What is v in a(v) = 0?
-1/3, 0
Let p be 6/45*-3 - 232/(-280). Factor -12/7*m + 3/7 + p*m**4 - 12/7*m**3 + 18/7*m**2.
3*(m - 1)**4/7
Suppose -579 - 9 = 4*w. Let o be (-2)/6 + (-91)/w. Find f, given that 0*f - 2/7*f**2 + o = 0.
-1, 1
Suppose -20 = -2*r - 3*c, -3*r + 21 = 2*c - 9. Let o be (3/(-15))/(r/(-25)). Factor 1 - 1/2*p**2 - o*p**4 + 3/2*p**3 - 3/2*p.
-(p - 2)*(p - 1)**2*(p + 1)/2
Let z(t) = -36*t**5 + 154*t**4 - 490*t**3 + 372*t**2 + 22. Let b(j) = 5*j**5 - 22*j**4 + 70*j**3 - 53*j**2 - 3. Let v(r) = 44*b(r) + 6*z(r). Factor v(u).
4*u**2*(u - 5)**2*(u - 1)
Let q be (2/8)/(33/(-5236)). Let b = q - -40. Determine i, given that 0 - 1/3*i - b*i**4 + 1/3*i**3 + 1/3*i**2 = 0.
-1, 0, 1
Let j(b) be the third derivative of -b**6/200 + b**4/10 + 7*b**2. Solve j(f) = 0 for f.
-2, 0, 2
Let c be (-3)/(-4)*4/2. Let v be (-190)/(-114) - (3 - (-39)/(-9)). Factor -c - 3/2*r**2 - v*r.
-3*(r + 1)**2/2
Let n(g) be the second derivative of -g**7/315 + g**5/30 - g**4/18 + 3*g**2/2 + 4*g. Let u(l) be the first derivative of n(l). Factor u(d).
-2*d*(d - 1)**2*(d + 2)/3
Let g(a) be the second derivative of 121*a**4/3 + 88*a**3 + 72*a**2 - 16*a. Let g(m) = 0. Calculate m.
-6/11
Let s(m) = m**5 + 3*m**4 + 20*m**3 - 19*m**2 - 5. Let r(h) = h**5 + h**4 + 10*h**3 - 9*h**2 - 3. Let w(a) = -5*r(a) + 3*s(a). Let w(j) = 0. Calculate j.
-2, 0, 1, 3
Let r be (1 - 19)/(14/7). Let z be 4/(-24)*r/2. Factor 3/4*j - 2*j**2 + 1/2 + z*j**3.
(j - 2)*(j - 1)*(3*j + 1)/4
Let a(v) be the third derivative of -7*v**6/60 - v**5/6 + v**4/6 - 6*v**2. Suppose a(f) = 0. Calculate f.
-1, 0, 2/7
Suppose -3*x = x + 4*s - 8, 0 = 2*s. Solve -1/3*c**x + 0 + 0*c = 0.
0
Let z = -5/6 + 13/12. Factor 1/4*j**2 + z - 1/2*j.
(j - 1)**2/4
Let f = -10409/30 - -347. Let h(r) be the third derivative of -1/150*r**5 + 0*r - 1/120*r**4 + 0 - 2*r**2 + f*r**3. Let h(j) = 0. What is j?
-1, 1/2
Factor -6/5*c**2 + 0 + 12/5*c.
-6*c*(c - 2)/5
Let l(x) be the third derivative of x**10/60480 + x**9/15120 + x**8/13440 + 5*x**4/24 + 4*x**2. Let o(s) be the second derivative of l(s). Factor o(y).
y**3*(y + 1)**2/2
Let n = 2/203 - -400/609. Let d = 169/3 + -55. Factor -2/3*i**2 + d*i - n.
-2*(i - 1)**2/3
Let w be (35/(-21))/(2/3). Let s = w - -43/6. Find m, given that 22/9*m**2 + 0 + 34/9*m**4 + 4/9*m + 10/9*m**5 + s*m**3 = 0.
-1, -2/5, 0
Let c(y) be the third derivative of -y**8/112 + y**7/35 + y**6/40 - y**5/10 + 3*y**2. Let c(a) = 0. Calculate a.
-1, 0, 1, 2
Let g(r) = 2*r**4 + 20*r**3 + 16*r**2 + 2*r - 18. Let f(o) = -6 + 7*o**3 + o + 0*o**4 + 5*o**2 - 2*o**4 + 3*o**4. Let p(c) = -11*f(c) + 4*g(c). Factor p(t).
-3*(t - 2)*(t - 1)*(t + 1)**2
Suppose -3*p - 5*a = 25, 2*p + a - 3*a - 10 = 0. Let z(n) be the second derivative of -n + 0*n**2 - 1/42*n**4 + p*n**3 + 0. Factor z(i).
-2*i**2/7
Let o(c) be the first derivative of 4 + 6*c**2 + 8/3*c**3 + 4*c. Factor o(l).
4*(l + 1)*(2*l + 1)
Factor 3/5*l**2 - 4/5 + 2/5*l**3 - 4/5*l - 1/5*l**4.
-(l - 2)**2*(l + 1)**2/5
Let z(c) = 4*c**2 + 10*c - 11. Let a(m) = m**2 + m - 1. Let p(h) = -5*a(h) + z(h). Factor p(f).
-(f - 3)*(f - 2)
Let z(p) be the first derivative of 2*p + 2/3*p**3 + 2 - 2*p**2. Factor z(r).
2*(r - 1)**2
Suppose -a - p = -2*p - 1, 2*p = -4*a + 16. Factor -7/6*m**4 + 0*m - 2/3*m**2 + 8/3*m**a + 0.
-m**2*(m - 2)*(7*m - 2)/6
Let h(r) = -r**2 - 1. Let b(j) = -6*j**3 - 17*j**2 - 12*j + 5. Let g(k) = -b(k) - 5*h(k). Factor g(y).
2*y*(y + 3)*(3*y + 2)
Let g(r) = -r**3 - r**2 + r - 1. Let b(t) = 2*t**4 + 14*t**3 + 26*t**2 + 14*t + 2. Let p = 8 - 10. Let l(i) = p*g(i) - b(i). Factor l(u).
-2*u*(u + 2)**3
Let b be 4 + 0 - (-124)/(-32). Let g(p) be the second derivative of b*p**4 + 1/6*p**3 + p + 1/8*p**2 + 1/20*p**5 + 1/120*p**6 + 0. Solve g(r) = 0.
-1
Suppose -13 = 4*j - 21. Factor -5*b**2 + 34*b**2 - 11*b**2 - b**3 - j*b - 15*b**2.
-b*(b - 2)*(b - 1)
Let a be (2/4)/(6*2/48). Let c(k) be the second derivative of -2/9*k**3 + 2/45*k**6 + 1/20*k**5 + 0*k**2 + 0 - a*k - 1/9*k**4 + 1/126*k**7. Factor c(t).
t*(t - 1)*(t + 1)*(t + 2)**2/3
Let v(o) be the first derivative of 1/30*o**5 + 3*o + 0*o**4 - 1/3*o**3 + 2/3*o**2 - 2. Let c(j) be the first derivative of v(j). Determine t so that c(t) = 0.
-2, 1
Let a be 4/10 + 39/15. Suppose -5*o - a*q + 6 = 0, -4*q - 7 - 11 = -2*o. Find c, given that -6*c**2 + 0*c**2 + o*c**2 + c**2 = 0.
0
Let s(u) be the third derivative of 1/132*u**4 + 0 + 6*u**2 - 1/330*u**5 + 0*u + 0*u**3. Factor s(x).
-2*x*(x - 1)/11
Factor -c - 1/2*c**2 - 1/2.
-(c + 1)**2/2
Factor -8 + 6 - w - 2*w**2 + 3.
-(w + 1)*(2*w - 1)
Let f be 22/14 + 21/49. Suppose -4*l = -f*l. Factor -7/5*k**2 + l + k**3 + 2/5*k.
k*(k - 1)*(5*k - 2)/5
Let i(a) be the first derivative of -4*a**3 + 3*a**4 + 2*a**2 + 7 - 4/5*a**5 + 0*a. Determine c so that i(c) = 0.
0, 1
Solve -2 + 2/11*n - 2/11*n**3 + 2*n**2 = 0 for n.
-1, 1, 11
Let r(j) = -j**3 + 3*j**2 + j + 2. Let d be r(3). Let w = d + -2. Factor 2/7 + 10/7*x**2 - 4/7*x**w - 8/7*x.
-2*(x - 1)**2*(2*x - 1)/7
Let d(y) be the second derivative of 343*y**6/60 + 49*y**5/40 - 35*y**4/4 + 19*y**3/3 - 2*y**2 + 6*y. What is v in d(v) = 0?
-1, 2/7
Let v(k) be the third derivative of 2*k**7/21 - k**6/15 - 4*k**5/3 + 4*k**4/3 - 28*k**2. Determine n, given that v(n) = 0.
-2, 0, 2/5, 2
Let n(u) = 8*u**2 + 4*u + 6. Let a(q) = q**2 - q. Let o(d) = 5*a(d) - n(d). Factor o(j).
-3*(j + 1)*(j + 2)
Let v(j) be the third derivative of j**5/120 - j**4/48 - j**3/6 + 9*j**2. Factor v(h).
(h - 2)*(h + 1)/2
Let v = 2 - 0. Let x be 21/9 - (-2)/(-6). Solve 6*p**3 + 2*p**4 - p**2 + 7*p**v + x*p + 0*p**4 = 0.
-1, 0
Suppose 0 = -6*w + 3*w + 18. Let x be (0 - (-9)/w)/3. Factor x*o**3 + 0*o**2 - 1 - 3/2*o.
(o - 2)*(o + 1)**2/2
Let t(f) = f**3 - f. Let h(q) = -3*q**4 - 21*q**3 - 24*q**2 - 6*q. Let g(n) = h(n) + 6*t(n). Factor g(b).
-3*b*(b + 1)*(b + 2)**2
Let j(x) be the first derivative of -2 - 1/3*x**3 + 1/2*x**2 + 0*x. Factor j(m).
-m*(m - 1)
Let h(w) = w**4 - 1. Let t(o) = -7*o**4 + 7*o**3 - 18*o**2 + 20*o - 2. Let r(y) = -6*h(y) - t(y). Factor r(j).
(j - 2)**3*(j - 1)
Let p(n) = 2*n**2 + n**3 + 0*n**2 + 0*n**3 - 4*n - 2 + 2*n. Let x be p(-2). Find s such that 2*s**2 - s**x - s**2 + s**2 = 0.
0
Let p(l) = 10*l**2 + 2*l + 2. Let q be p(-1). Let t be 1/(-2)*(-8)/q. Let 0*n + t*n**3 + 0 - 2/5*n**5 + 2/5*n**4 - 2/5*n**2 = 0. Calculate n.
-1, 0, 1
Let y(s) be the first derivative of 7 - 1/2*s**3 + 9/2*s + 3/2*s**2. Factor y(x).
-3*(x - 3)*(x + 1)/2
Factor 1/5*j**5 - 2/5*j**2 + 0 + 2/5*j**4 + 0*j**3 - 1/5*j.
j*(j - 1)*(j + 1)**3/5
Suppose -2 = -2*i + 18. Find a, given that -2*a**4 - 8*a**2 + a**3 + i*a**2 + a**3 - 2*a**5 = 0.
-1, 0, 1
Factor -2/15*i + 2/15*i**3 + 2/15 - 2/15*i**2.
2*(i - 1)**2*(i + 1)/15
Let y(d) be the first derivative of -2*d**6/45 + d**5/10 - d**4/12 - 4*d**3/3 - 3. Let w(u) be the third derivative of y(u). What is i in w(i) = 0?
1/4, 1/2
Let x(l) be the first derivative of l**3/12 + l**2/2 + l + 4. Let x(a) = 0. Calculate a.
-2
What is v in 0*v + 4/11*v**2 - 6/11*v**3 + 2/11*v**4 + 0 = 0?
0, 1, 2
Let g(n) be the third derivative of 0*n**5 + 0 + 3*n**2 + 1/240*n**6 + 1/840*n**7 - 1/24*n**3 + 0*n - 1/48*n**4. Find v, given that g(v) = 0.
-1, 1
Let g(k) be the first derivative of -2*k**3/9 - 8*k**2/15 + 8*k/15 + 4. Determine w so that g(w) = 0.
-2, 2/5
Suppose 0*z + z - 4 = 0. Suppose 0 = -z*l + 7 + 13. Solve g**4 - 3*g**5 + 0*g**5 + 2*g**l + g**3 - g**2 = 0.
-1, 0, 1
Let o(p) be the first derivative of p**6/30 - 6*p**5/25 + 13*p**4/20 - 4*p**3/5