*3*(u + 2)*(3*u + 2)
Let o(l) be the first derivative of 5*l**3/9 - l**2/6 - 4*l/3 + 51. Factor o(s).
(s - 1)*(5*s + 4)/3
Let p(a) be the second derivative of a**4/60 - 4*a**3/15 + 6*a**2/5 + 12*a. Factor p(q).
(q - 6)*(q - 2)/5
Let u(s) be the third derivative of -s**7/140 + s**6/40 + s**5/40 - s**4/8 + 9*s**2. Factor u(a).
-3*a*(a - 2)*(a - 1)*(a + 1)/2
Let i be 24 + -29 + -47*1/(-9). Find p, given that 0*p**3 - 4/9*p - i*p**4 + 2/3*p**2 + 0 = 0.
-2, 0, 1
Find k such that 16*k**3 - 4*k**5 - 8*k**2 + k + 8 + 7*k - 20*k = 0.
-2, -1, 1
Let z = -144 + 1729/12. Let d(v) be the second derivative of 0 + 1/6*v**3 + 0*v**2 - 2*v - z*v**4. Solve d(i) = 0.
0, 1
Let w(p) be the first derivative of -2*p**3/15 - 2*p**2/5 - 2*p/5 + 11. Let w(a) = 0. Calculate a.
-1
Let b(a) be the second derivative of 4*a**2 - 3*a + 9/5*a**5 - 2/3*a**4 + 0 - 6*a**3. Factor b(d).
4*(d - 1)*(d + 1)*(9*d - 2)
Let w(i) be the first derivative of -2*i**5/5 - 3*i**4/2 - 2*i**3 - i**2 - 10. Find r, given that w(r) = 0.
-1, 0
Suppose f - 2*f + 2 = 0. Solve 5*t**2 + t + t**5 - 2*t - 7*t**2 + f*t**4 = 0.
-1, 0, 1
Let q(h) be the third derivative of h**9/30240 + h**8/10080 - h**7/2520 - h**6/360 + h**5/30 + 2*h**2. Let j(t) be the third derivative of q(t). Factor j(l).
2*(l - 1)*(l + 1)**2
Let b(o) be the second derivative of -9*o - 1/6*o**3 + 0 + 1/12*o**4 - o**2. Factor b(i).
(i - 2)*(i + 1)
Suppose 2*p - 18 = 4*a, -5*p + a = -10 - 8. Let z(o) be the third derivative of 1/12*o**p + 0 + 0*o - 1/24*o**4 + 1/120*o**5 + 2*o**2. Factor z(b).
(b - 1)**2/2
Let c(k) be the first derivative of k**4/2 + 2*k**3/3 - k**2 - 2*k - 10. Factor c(m).
2*(m - 1)*(m + 1)**2
Let r(f) = -f**2 - 1. Let i(k) = 5*k**3 - 2*k + 3. Let t(d) = -d**2 - 7*d - 1. Let x be t(-7). Let v(b) = x*i(b) - 3*r(b). Determine g, given that v(g) = 0.
-2/5, 0, 1
Suppose -7 = 4*o - 0*o + 3*f, -3*f = 2*o + 11. Factor 2*s**3 - 2*s**o - 3*s**3 - s**3.
-2*s**2*(s + 1)
Let b(o) be the first derivative of -3 - 1/7*o**2 + 2/7*o - 2/21*o**3 + 1/14*o**4. Factor b(y).
2*(y - 1)**2*(y + 1)/7
Suppose -6*l + 5*o + 20 = -3*l, -12 = -3*l + 3*o. Factor -1/3*j**4 + l*j - 1/3*j**5 + 1/3*j**2 + 1/3*j**3 + 0.
-j**2*(j - 1)*(j + 1)**2/3
Let o(z) be the second derivative of 0 + 1/6*z**2 - 1/18*z**4 - 1/18*z**3 - 3*z. Factor o(d).
-(d + 1)*(2*d - 1)/3
Solve 8*b**2 - 4 - 6*b - 12*b**2 - 3*b + b = 0.
-1
Let f = -340/3 + 1369/12. Factor -f*a + 3/4*a**3 - 3/4*a**2 + 3/4.
3*(a - 1)**2*(a + 1)/4
Suppose p - 2 = 5. Let v = p + -3. Solve -o**3 - o**2 - v*o - 4*o**2 + o**2 + 0*o = 0 for o.
-2, 0
Let c = 5/14 + -1/42. Let g = 19/75 - -2/25. Factor -2/3*x - g*x**2 - c.
-(x + 1)**2/3
Let k(g) be the third derivative of 1/60*g**5 - 1/240*g**6 + 4*g**2 + 0*g + 0*g**4 + 0 + 0*g**3. Factor k(w).
-w**2*(w - 2)/2
Let t(s) be the third derivative of -s**8/3696 - s**7/462 - 3*s**6/440 - 7*s**5/660 - s**4/132 + 14*s**2. Factor t(n).
-n*(n + 1)**3*(n + 2)/11
Factor -8*o + 5*o**3 + 0*o**2 + 10*o**3 - 4*o**4 + 4*o**2 - 7*o**3.
-4*o*(o - 2)*(o - 1)*(o + 1)
Let o(z) be the third derivative of -z**10/529200 - z**9/211680 - z**5/60 + 2*z**2. Let r(i) be the third derivative of o(i). Factor r(n).
-2*n**3*(n + 1)/7
Let v(s) be the first derivative of 3*s**5/5 - 3*s**4/2 - s**3 + 3*s**2 - 20. Factor v(m).
3*m*(m - 2)*(m - 1)*(m + 1)
Suppose -5 = -4*y + 7, 3*y = -l + 11. Suppose l*i = 6 + 4. Solve 0*m - 2*m**i + 4/7*m**2 - 6/7*m**3 - 24/7*m**4 + 0 = 0 for m.
-1, 0, 2/7
Let y = -11 + 5. Let m be (2/6)/((-8)/y). Solve -1/4 - 1/4*z + 1/4*z**2 + m*z**3 = 0 for z.
-1, 1
Let t(g) be the second derivative of 1/2*g**3 - 1/4*g**4 - 1/10*g**5 + g**2 + 0 - 2*g. Determine x, given that t(x) = 0.
-2, -1/2, 1
Let y = -23/2 - -12. Let g(r) be the second derivative of 0 + 1/2*r**2 - 1/12*r**4 + 3/20*r**5 - y*r**3 - 2*r. Solve g(u) = 0.
-1, 1/3, 1
Let y be (-164)/(-738) - (1 - (-1)/(-1)). Solve -4/9*z**3 + 0*z + y*z**4 + 2/9*z**5 + 0*z**2 + 0 = 0 for z.
-2, 0, 1
Let y = 64/27 + -178/189. Let i(w) = w**3 + 4*w**2 - 5*w + 5. Let b be i(-5). Solve y*z**4 + 8/7*z - 4/7*z**3 - 8/7*z**2 - 2/7 - 4/7*z**b = 0.
-1, 1/2, 1
Let r(l) be the third derivative of -l**5/300 + l**4/60 - 9*l**2. Factor r(y).
-y*(y - 2)/5
Let u(v) = -7*v**2 - 4*v. Let k(h) = 8*h**2 + 5*h. Let o be (12 + -7)*(-1 - -2). Let y(b) = o*u(b) + 4*k(b). Solve y(t) = 0 for t.
0
Let u be 17/(-18) - (1 - 2). Let l(k) be the third derivative of u*k**4 - 1/630*k**7 + 0 + 0*k + 4/9*k**3 - 1/30*k**5 - 1/72*k**6 - k**2. Factor l(c).
-(c - 1)*(c + 2)**3/3
Let u(f) = 10*f**4 - 7*f**3 - 5*f**2 - 9*f - 11. Let l(g) = g**4 - g**3 - g - 1. Let d(k) = 22*l(k) - 2*u(k). Factor d(r).
2*r*(r - 2)*(r - 1)**2
Suppose 0 = -h - 6*j + 2*j + 24, h = 2*j - 6. Factor -2*p - h*p + 9 + p**2 - p + p.
(p - 3)**2
Let w be (-2)/(-56) - 1/(-4). Suppose 20 = 3*b + 5*o, -3*o + 4*o - 4 = 5*b. Factor 4/7*r**3 + w*r**2 + 2/7*r**4 + 0 + b*r.
2*r**2*(r + 1)**2/7
Let z be 0/2 + (-200)/(-125). Factor -8/5 - 2/5*w**2 - z*w.
-2*(w + 2)**2/5
Let y(k) be the first derivative of k**4 - 4*k**3 + 4*k**2 - 26. Find h such that y(h) = 0.
0, 1, 2
Let l(s) be the first derivative of -1/7*s + 0*s**2 + 1/21*s**3 - 2. Find p, given that l(p) = 0.
-1, 1
Let d be (6/(-4))/(-1 - 5/4). Determine m, given that 2/3*m**2 + 4/3*m + d = 0.
-1
Let f = -1/13 + 29/39. Factor -f - k**2 + 5/3*k.
-(k - 1)*(3*k - 2)/3
Let z(y) be the second derivative of y**5/30 - 2*y**4/3 + 16*y**3/3 - 64*y**2/3 + 20*y. Solve z(d) = 0 for d.
4
Let j(m) = m**5 - m**3 + m**2 + 1. Let w(q) = 14*q**5 - 4*q**4 - 22*q**3 + 14*q**2 + 8*q + 10. Let t(a) = -10*j(a) + w(a). Factor t(s).
4*s*(s - 2)*(s - 1)*(s + 1)**2
Let r be ((-16)/(-20))/((-1)/(-10)). Suppose 3*y - g = r, g - 5*g - 8 = 0. Solve 3*n - 11*n + 2 + 10*n**y - 4 = 0 for n.
-1/5, 1
Let q(c) be the third derivative of -c**7/630 + c**6/180 + c**5/45 - c**4/9 + 8*c**2. Factor q(s).
-s*(s - 2)**2*(s + 2)/3
Let g = 103129/495 - 1870/9. Let m = -4/11 + g. Determine z, given that -3/5*z - m - 3/5*z**2 - 1/5*z**3 = 0.
-1
Let l(z) = 2*z**2 - 7. Let y(w) = -w**2 + 3. Suppose -4*t + 8 + 4 = 0. Let m(p) = t*l(p) + 7*y(p). Factor m(v).
-v**2
Let d(w) = w**2 + 2*w. Suppose 0 = -q + 9*q. Let m be d(q). Solve -5/2*z**2 - 1/2*z - z**5 - 7/2*z**4 + m - 9/2*z**3 = 0 for z.
-1, -1/2, 0
Let x = 5/4 + -17/20. Determine p so that -x*p**2 + 4/5 + 2/5*p = 0.
-1, 2
Suppose -5 = 2*b - 15. Find j, given that j - b*j + j**2 - 3*j**2 - 6 + 4 = 0.
-1
Solve -l**2 + 3*l**2 + 4*l - l**2 = 0.
-4, 0
Let z(u) = -u**3 + 11*u**2 + 5. Let o be z(11). Suppose o*r = 6 + 14. Determine m so that 0*m**3 - 5*m + 2*m**3 + 2*m**5 - 6*m**2 + 10*m**4 + m - r*m**4 = 0.
-2, -1, 0, 1
Factor -21*v**3 + 48*v**5 + 3*v**2 - 6*v**4 + 24*v**4 + 6*v**4.
3*v**2*(v + 1)*(4*v - 1)**2
Let a(s) be the second derivative of s**6/10 - 3*s**5/20 - 3*s**4/4 + s**3/2 + 3*s**2 + 8*s. Factor a(z).
3*(z - 2)*(z - 1)*(z + 1)**2
Let i(y) be the third derivative of y**11/665280 + y**10/151200 - y**5/15 - 4*y**2. Let w(r) be the third derivative of i(r). Determine c so that w(c) = 0.
-2, 0
Let i be ((-2)/(-18))/(12/12). Let p(l) be the first derivative of -2/15*l**5 - i*l**6 + 1/6*l**4 + 0*l + 2/9*l**3 + 0*l**2 + 1. Factor p(u).
-2*u**2*(u - 1)*(u + 1)**2/3
Let z(o) be the third derivative of 0*o**6 - 1/135*o**5 + 5*o**2 + 0*o + 1/27*o**3 + 1/945*o**7 + 0 + 0*o**4. Solve z(i) = 0.
-1, 1
Let x be (2/(-4))/((-287)/(-98)). Let t = 213/287 + x. Factor -4/7*j**3 - 2/7*j**4 + 2/7*j**5 + 2/7*j + t*j**2 - 2/7.
2*(j - 1)**3*(j + 1)**2/7
Factor -4/3*c**3 - 20/3*c + 8/3 + 16/3*c**2.
-4*(c - 2)*(c - 1)**2/3
Let j(r) be the third derivative of -r**7/42 - r**6/12 - r**5/12 + 19*r**2. Let j(k) = 0. Calculate k.
-1, 0
Let n = -68/3 + 23. Let r = 1456 - 4366/3. Factor 2/3*q**2 + r*q**3 - 1/3 - 1/3*q - n*q**4 - 1/3*q**5.
-(q - 1)**2*(q + 1)**3/3
Let 8/7*o - 74/7*o**3 - 150/7*o**5 - 16/7 - 380/7*o**4 + 180/7*o**2 = 0. What is o?
-2, -1, -1/3, 2/5
Let t be 0/7*-2*(-1)/(-6). Let z(p) be the second derivative of t*p**3 + 2*p - 3/50*p**5 + 0*p**2 - 1/105*p**7 + 0 - 1/25*p**6 - 1/30*p**4. Factor z(n).
-2*n**2*(n + 1)**3/5
Let b(n) be the third derivative of 0 + 0*n**3 + 3*n**2 + 0*n - 1/24*n**4 - 1/60*n**5. What is i in b(i) = 0?
-1, 0
Let l(u) = -u**4 + u**2 - u. Let m(v) = v**5 - 8*v**4 - 2*v**3 + 10*v**2 - 5*v - 2. Let a(c) = -6*l(c) + m(c). Let a(z) = 0. What is z?