1/140*g**5 + 1/84*g**4 + k*g**2. Factor z(f).
f**2*(f + 1)/7
Let i(l) be the second derivative of -l**7/21 + 4*l**6/5 - 24*l**5/5 + 32*l**4/3 + 68*l + 3. Factor i(c).
-2*c**2*(c - 4)**3
Let m(u) = -2*u**2 + 2*u + 1. Let t(j) = 10*j**2 - 32*j + 42. Let l(w) = 6*m(w) + t(w). Factor l(v).
-2*(v - 2)*(v + 12)
Find l, given that -8*l**3 + 0*l**2 + 0*l**3 + 128 + 1927*l - 1863*l + 2*l**4 - 24*l**2 = 0.
-2, 4
Let q(o) be the third derivative of -o**7/165 + 47*o**6/660 - 7*o**5/66 - 119*o**4/132 - 10*o**3/11 + o**2 + 76*o. Suppose q(a) = 0. What is a?
-1, -2/7, 3, 5
Let k(f) be the second derivative of f**9/16632 + 3*f**3/2 - 17*f. Let n(u) be the second derivative of k(u). Factor n(t).
2*t**5/11
Let g(v) be the third derivative of -v**5/180 - v**4/12 - 15*v**2. Factor g(i).
-i*(i + 6)/3
Let h(y) = -25*y**3 - 89*y**2 + 75*y + 450. Let z(r) = -5*r**3 - 18*r**2 + 15*r + 90. Let a(m) = 2*h(m) - 11*z(m). Factor a(o).
5*(o - 2)*(o + 3)**2
Let j(r) be the second derivative of r**6/45 + r**5/4 + 13*r**4/12 + 20*r**3/9 + 2*r**2 + 71*r. Let j(y) = 0. What is y?
-3, -2, -1/2
Factor 1 + f**2 - 13*f + 15 - 5*f + f**2.
2*(f - 8)*(f - 1)
Let b be -5*((-14)/20*8 - -3). Let 2*h - b*h**2 + 2*h - 16 + 10*h**2 + 5*h**2 = 0. What is h?
-4, 2
Let u = 23932 - 23930. Factor 3/2*b**3 + 9/2*b**u + 9/2*b + 3/2.
3*(b + 1)**3/2
Let j(u) be the second derivative of 27*u**5/20 - 4*u**4 - 139*u**3/2 - 45*u**2 + 261*u. Factor j(c).
3*(c - 5)*(c + 3)*(9*c + 2)
Suppose -98*p + 12 = -101*p. Let w(x) = -2*x**4 + 2*x**3 + 6*x**2 - 14*x. Let k(y) = -y - 1. Let v(r) = p*k(r) + w(r). Factor v(n).
-2*(n - 1)**3*(n + 2)
Let w = 167 - 161. Let m(z) be the second derivative of 1/12*z**4 - 1/20*z**6 + 0 + 1/4*z**2 - 1/4*z**3 + 1/84*z**7 + 1/20*z**5 - w*z. Factor m(o).
(o - 1)**4*(o + 1)/2
Let v(a) be the second derivative of -a**6/195 - a**5/65 + 4*a**4/39 - 2*a + 39. Factor v(g).
-2*g**2*(g - 2)*(g + 4)/13
Suppose -2*n = -4*n - 5*p - 45, -3*p - 35 = 2*n. Let q be (-17)/170 - 31/n. Suppose 0*m + 1/2*m**2 + 0 - 1/4*m**4 + 1/4*m**q = 0. What is m?
-1, 0, 2
Let w(b) = -b + 10. Let v be w(8). Factor -6*c**2 + 12*c - 13 - 11 + 10 + 8*c**v.
2*(c - 1)*(c + 7)
Factor 0 - 1/3*d**4 + 1/3*d**2 - 1/3*d**3 + 0*d + 1/3*d**5.
d**2*(d - 1)**2*(d + 1)/3
Let p(n) = -50*n**3 - 88*n**2 - 17*n + 15. Let f(t) = -150*t**3 - 263*t**2 - 52*t + 45. Let c(g) = 3*f(g) - 8*p(g). Factor c(w).
-5*(w + 1)**2*(10*w - 3)
Let q(j) = 2*j**2 + 875*j + 96805. Let z(t) = -3*t**2 - 1312*t - 145208. Let p(o) = 8*q(o) + 5*z(o). Factor p(v).
(v + 220)**2
Let p(q) be the first derivative of 2/45*q**5 + 5/9*q**4 + 8/3*q**3 + 34 + 6*q**2 + 6*q. Factor p(m).
2*(m + 1)*(m + 3)**3/9
Let c(w) = -3*w**2 - 46*w + 35. Let q be c(-16). Let r(d) be the first derivative of -6 + 0*d - 2/9*d**q - 2/15*d**5 + 1/3*d**4 + 0*d**2. Factor r(a).
-2*a**2*(a - 1)**2/3
Factor 19355*g**3 - g**5 + 8*g**2 - 19335*g**3 + 5*g**5 + 16*g**4.
4*g**2*(g + 1)**2*(g + 2)
Factor -3/5*a**4 + 0*a + 0 + 3/5*a**2 + 0*a**3.
-3*a**2*(a - 1)*(a + 1)/5
Let z(x) be the first derivative of x**4/2 - 46*x**3/9 + 56*x**2/3 - 88*x/3 - 124. Solve z(l) = 0.
2, 11/3
Let o(j) = j**2 + 26*j - 25. Let z be o(-27). Let g(l) be the second derivative of 4/9*l**3 + 0 + z*l + 1/36*l**4 + 8/3*l**2. Factor g(m).
(m + 4)**2/3
Suppose -502 - 42 = 16*j. Let n be (-2)/(-6) - (-2 + j/(-30)). Factor 7/5*p**3 + 29/5*p + 6*p**2 + n.
(p + 1)*(p + 3)*(7*p + 2)/5
Let h = 179 - 173. Let k be ((-6)/15)/(h/(-5)). Factor -1/3*f**2 - 2/3*f - k.
-(f + 1)**2/3
Find q, given that 0 + q**4 - 3/2*q**3 - 1/4*q - 1/4*q**5 + q**2 = 0.
0, 1
Let h = 20473/591 - -5/197. Let b = -34 + h. Factor -4/3*a + b + 2/3*a**2.
2*(a - 1)**2/3
Let -10*m**3 - 2*m**4 + 30 + 1667*m - 1597*m + 28*m**3 - 6 + 66*m**2 = 0. Calculate m.
-1, 12
Let r(a) be the second derivative of -a**6/30 - a**5/5 - a**4/3 + a + 81. Factor r(j).
-j**2*(j + 2)**2
Factor -9/2*l**4 + 0 - 309/2*l**3 + 209/2*l**2 - 35/2*l.
-l*(l + 35)*(3*l - 1)**2/2
Let j(q) be the first derivative of q**6/6 - 34*q**5/5 + 106*q**4 - 2320*q**3/3 + 2600*q**2 - 4000*q + 3. Factor j(r).
(r - 10)**3*(r - 2)**2
Let u = 117 - 121. Let l(i) = -i**3 - 6*i**2 + 3*i - 2. Let t(p) = p**3 + p**2 + p. Let z(m) = u*t(m) - 2*l(m). Factor z(g).
-2*(g - 2)*(g - 1)**2
Let m(a) = -a + 7. Let z be m(4). Factor 11*v**3 - 15*v**z + 5*v**2 - v**4 + 3*v**3 - 3*v.
-v*(v - 1)**2*(v + 3)
Suppose 0 = 5*b + 1 - 11. Suppose 4*z + 2*s = 22, -4*z + s + s = -b. Factor 11*w**2 + 12*w**4 - 6*w**2 + 18*w**3 + 3*w + z*w**5 + 7*w**2.
3*w*(w + 1)**4
Let w(r) be the first derivative of r**4/4 + 4*r**3/3 + 5*r**2/2 + 2*r + 69. Factor w(o).
(o + 1)**2*(o + 2)
Let r be (-9)/36 + 78/(-8). Let q be 4/15 + -4 + (-44)/r. Factor -q*f**4 - 2/3 + 0*f**3 + 0*f + 4/3*f**2.
-2*(f - 1)**2*(f + 1)**2/3
Let x(q) be the second derivative of q**5/100 + 7*q**4/20 + 9*q**3/2 + 243*q**2/10 + 2*q - 15. Factor x(s).
(s + 3)*(s + 9)**2/5
Let c(o) = -3*o + 44. Let d be c(15). Let p(g) = -7*g - 3. Let j be p(d). Determine n so that 0*n**2 + 2/5*n**j + 0 - 1/5*n + 3/5*n**3 = 0.
-1, 0, 1/2
Let j(q) = -q**3 - 31*q**2 + 65*q + 90. Let g(b) = b**3 + 15*b**2 - 33*b - 44. Let y(r) = 5*g(r) + 3*j(r). Determine v so that y(v) = 0.
-1, 5
Suppose 7*u = 5*u + 8. Let w be 1/2*(u - (2 + -6)). Factor 0 + 24/5*h**3 + 0*h + 3/5*h**5 - 3*h**w - 12/5*h**2.
3*h**2*(h - 2)**2*(h - 1)/5
Let h(c) be the second derivative of -c**4 + 0 + 16/3*c**3 - 20*c - 8*c**2. Find v such that h(v) = 0.
2/3, 2
Let u(r) be the second derivative of 6*r**6/35 - 19*r**5/70 + r**4/42 - 295*r. Determine g so that u(g) = 0.
0, 1/18, 1
Let n(m) be the third derivative of m**5/12 + 5*m**4/24 - 5*m**3/3 + 21*m**2. Suppose n(x) = 0. What is x?
-2, 1
Suppose 15 - 17*i**3 + 873*i**2 + 3*i**4 - 891*i**2 + 12*i + 5*i**3 = 0. Calculate i.
-1, 1, 5
Suppose 6*d - 130 = d. Suppose 2*f = 4*g + 4*f - d, 2*g = 3*f + 1. Factor -z - 6*z**2 + 2*z**2 + g*z**2.
z*(z - 1)
Find h such that -78*h**2 - 4/3*h**3 - 38 - 344/3*h = 0.
-57, -1, -1/2
Let f(d) = 2*d**3 + d**2 + d. Let c(t) = -8*t**3 - 95*t**2 + 1345*t - 6750. Let w(b) = -2*c(b) - 10*f(b). Factor w(y).
-4*(y - 15)**3
Let b be 2948/120 + (-2)/(-3). Let x = 155/6 - b. Factor -1/5*s**2 + 1/5 + 3/5*s - x*s**3.
-(s - 1)*(s + 1)*(3*s + 1)/5
Solve 0*k + 4/9*k**3 - 1/9*k**4 + 0 - 4/9*k**2 = 0.
0, 2
What is i in -3/4 - 3/2*i**2 - 9/4*i = 0?
-1, -1/2
Let v(u) = -5*u**4 - 5*u**3 - 20*u**2 + 204*u - 186. Let w(o) = 2*o**4 - o**3 + o**2 + 2. Let f(k) = 5*v(k) + 15*w(k). Factor f(g).
5*(g - 6)**2*(g - 1)*(g + 5)
Let m(y) be the first derivative of -3/14*y**4 + 4/21*y**3 + 2/35*y**5 + 0*y**2 + 0*y - 1. Factor m(j).
2*j**2*(j - 2)*(j - 1)/7
Let x(y) be the second derivative of -y**4/96 - 7*y**3/48 - 3*y**2/4 + 7*y + 14. Factor x(d).
-(d + 3)*(d + 4)/8
Let h(q) = -q**2 - 8*q - 5. Let p be h(-7). Let y be 1/p + 12/8. Let s + 2 + s**y - 6*s**2 + 4*s**2 + 0 = 0. What is s?
-1, 2
Let y(k) = 27*k**3 + 81*k**2 + 129*k - 21. Let s(q) = -6*q**3 - 16*q**2 - 26*q + 4. Let j(m) = -24*s(m) - 5*y(m). Find g such that j(g) = 0.
-1, 1/3, 3
Let z(j) be the first derivative of j**3/5 - 3*j**2/5 + 3*j/5 - 915. Factor z(k).
3*(k - 1)**2/5
Let n(o) be the first derivative of -o**5/15 + 2*o**3/3 + 4*o**2/3 + o - 396. Let n(q) = 0. What is q?
-1, 3
Let i be (2*-1)/(2/(-2 + -6)). Let b be 2/i + 1*26/24. What is f in 1 + 1/3*f**2 - b*f = 0?
1, 3
Let u(c) = 2*c**5 + 2*c**3 + c - 1. Let f(s) = -8*s**5 + 8*s**4 - 8*s**3 - 6*s + 6. Let j(q) = f(q) + 6*u(q). Solve j(w) = 0 for w.
-1, 0
Let b(r) be the third derivative of 2/21*r**3 + 0*r**5 - 9*r**2 + 0 + 1/28*r**4 + 0*r - 1/420*r**6. Factor b(c).
-2*(c - 2)*(c + 1)**2/7
Let c(v) be the second derivative of 0*v**2 - 1/2*v**3 - 11*v + 0 + 1/4*v**4. Find j, given that c(j) = 0.
0, 1
Let t(a) be the third derivative of -a**5/60 + a**4/24 + a**3 + 206*a**2. Factor t(v).
-(v - 3)*(v + 2)
Factor -54 - 14 - a**2 - 14*a + 38 - 2*a**3 + 15*a**2.
-2*(a - 5)*(a - 3)*(a + 1)
Solve 10*u + u**4 + u**4 + 16 - 16*u**2 + 3*u**4 - 1 - 10*u**3 - 4*u**2 = 0 for u.
-1, 1, 3
Suppose -4*t + 8 + 4 = 5*s, -3 = -2*s - t. Let s + 32*h**2 + 3 - 3 + 2 - 16*h = 0. Calculate h.
1/4
Let y = -647/6 + 328/3. Let z(l) be the first derivative of 7 + 1/2*l**6 - 2*l**3 + 3*l + y*l**2 + 3/5*l**5 - 3/2*l**4. Determine q, given that z(q) = 0.
-1, 1
Let h(w) be the second derivative of -2/15