(o). Solve q(l) = 0.
-2, -1, 0, 1/2
Let j(a) be the second derivative of a**5/220 + a**4/132 + 18*a. Determine f so that j(f) = 0.
-1, 0
Let b be 63/12 + 2/(-8). Factor -4*h**2 + 7*h**2 + b - h - 11*h + 7.
3*(h - 2)**2
Let z = -8 - -11. Factor -9*v**2 - 2*v**3 + v**z - 2*v**3 - 11*v + 2*v - 3.
-3*(v + 1)**3
Let i = 18 - 13. Let c be (-6)/(-27) + 12/27*4. Factor 2/3*g**i + 2/3*g**2 + c*g**3 + 0 + 0*g + 2*g**4.
2*g**2*(g + 1)**3/3
Let n = 49 - 341/7. Factor 0 + 2/7*l**4 - n*l**5 + 0*l - 2/7*l**2 + 2/7*l**3.
-2*l**2*(l - 1)**2*(l + 1)/7
Let l(t) = 7*t**3 + 31*t**2 - 31*t + 19. Let v(a) = -3*a**3 - 15*a**2 + 15*a - 9. Let i(x) = -6*l(x) - 13*v(x). Solve i(p) = 0.
1
Let o be (-3 - 10/(-4))*-4. Factor -r + 14 - 3*r**o + 2*r**2 - 12.
-(r - 1)*(r + 2)
Let p(i) = 15*i**3 - 7*i**2 + 3*i. Let z(a) be the first derivative of -a**4 + 2*a**3/3 - a**2/2 + 1. Let j(v) = -6*p(v) - 22*z(v). Solve j(u) = 0.
-2, 0, 1
Suppose -4*l + k + 33 = 0, 2*l - 2*k = 3*l - 15. Let -i**3 - 7*i**4 + 2*i**3 - l*i**4 + 3*i**3 = 0. What is i?
0, 1/4
Let g(p) be the third derivative of p**7/35 + 13*p**6/60 + 13*p**5/30 + p**4/4 + 20*p**2. Suppose g(a) = 0. Calculate a.
-3, -1, -1/3, 0
What is i in -4/9*i + 0 - 2/9*i**2 = 0?
-2, 0
Let x(m) be the third derivative of m**8/672 - m**7/252 + m**6/360 + 12*m**2. Factor x(d).
d**3*(d - 1)*(3*d - 2)/6
Let l(r) be the second derivative of -r + 0 - 1/42*r**5 + 1/140*r**6 + 1/84*r**4 + 1/2*r**2 + 1/21*r**3. Let q(u) be the first derivative of l(u). Factor q(i).
2*(i - 1)**2*(3*i + 1)/7
Let v be 1*-3 - (-33)/9. Suppose h - 2 = 2*p - p, -4*p + 4 = -h. Factor 2/3*w - 4/3*w**2 + 0 - v*w**5 + 4/3*w**h + 0*w**3.
-2*w*(w - 1)**3*(w + 1)/3
What is j in 0 + 1/2*j**4 + 0*j**3 + 0*j + 0*j**2 = 0?
0
Let k(s) be the third derivative of -s**5/12 - 5*s**4/2 - 30*s**3 + 2*s**2 - 46*s. What is n in k(n) = 0?
-6
Suppose 0 = -4*t + m + 6, 0*t = 2*t - 4*m - 10. Let h(l) = l**2 + 2*l - 1. Let w be h(t). Factor -16/7 - 12/7*f**w + 24/7*f + 2/7*f**3.
2*(f - 2)**3/7
Suppose -3*p = -4*p + 5*z - 23, 3*p = -4*z + 26. Let g be 16/(-12)*((-1)/2 - 1). Factor -2/3*r**p - 4/3 + g*r.
-2*(r - 2)*(r - 1)/3
Factor -12*v**2 - 5*v - 10*v**2 + 17*v**2 + 10.
-5*(v - 1)*(v + 2)
Let g(c) be the second derivative of -5*c**9/6048 - c**8/420 - c**7/1680 + c**6/360 - c**3/6 - 4*c. Let a(o) be the second derivative of g(o). Factor a(j).
-j**2*(j + 1)**2*(5*j - 2)/2
What is c in 18/13*c**2 + 54/13*c + 2/13*c**3 + 54/13 = 0?
-3
Suppose m - 3*m = 0. Let q(h) be the second derivative of -1/20*h**5 + m*h**4 - 2*h + 0*h**2 + 1/30*h**6 + 0*h**3 + 0. Factor q(a).
a**3*(a - 1)
Let -3*c**4 - 6 + 3*c + 9*c**2 - 16*c**3 + 8*c**3 + 5*c**3 = 0. Calculate c.
-2, -1, 1
Let j(r) be the second derivative of 9*r**5/140 + 13*r**4/28 + 20*r**3/21 + 6*r**2/7 - 4*r. Find t such that j(t) = 0.
-3, -2/3
Let r(y) be the second derivative of y**5/60 + 5*y**4/108 + y**3/54 - y**2/18 - 69*y. Factor r(f).
(f + 1)**2*(3*f - 1)/9
Let m(i) be the first derivative of i**4/4 - i**3 + 4*i - 5. Factor m(z).
(z - 2)**2*(z + 1)
Let n = 9 + -9. Let z = 5 - 5. Let -1/4*p**4 + 0 + 1/4*p**3 + n*p**2 + z*p = 0. Calculate p.
0, 1
Let n(m) be the first derivative of -m**3/3 - 5*m**2/2 + 2. Let h be n(-4). Let 3*x**h - 4*x**4 + 2*x**4 = 0. What is x?
0
Let n(m) = 8*m**2 - 53*m + 69. Let f(p) = 12*p**2 - 79*p + 103. Let v(i) = 5*f(i) - 7*n(i). Let v(j) = 0. What is j?
2, 4
Let b(q) = 3*q**3 - 2*q**2 - q. Let d be b(-1). Let s = d - -6. Factor -1/5*x + 1/5*x**s + 1/5*x**3 - 1/5.
(x - 1)*(x + 1)**2/5
Let k(h) be the third derivative of -h**6/30 + 4*h**5/15 + h**4/2 - 12*h**3 + 45*h**2. Determine d, given that k(d) = 0.
-2, 3
Let 9/7*w + 0 - 3/7*w**2 = 0. What is w?
0, 3
Let c(s) be the first derivative of 2*s**3/3 + 4*s**2 + 8*s - 3. Factor c(q).
2*(q + 2)**2
Suppose -4*y + 0*w + 1 = -w, 5 = -3*y - 5*w. Suppose y = 2*q + q. Factor 0*f**2 + 1/3*f**4 + q*f + 1/6*f**3 + 1/6*f**5 + 0.
f**3*(f + 1)**2/6
Let w(z) = -3*z**3 - 5*z**2 - 2*z + 5. Let x(a) = 4*a**3 + 6*a**2 + 2*a - 6. Let b(t) = -6*w(t) - 5*x(t). Factor b(c).
-2*c*(c - 1)*(c + 1)
Let f(i) = 19*i**2 - 35*i - 1. Let v(b) = -9*b**2 + 17*b. Let w(p) = -6*f(p) - 13*v(p). What is k in w(k) = 0?
2/3, 3
Factor -34/3*l + 1/3*l**2 + 289/3.
(l - 17)**2/3
Let o(v) be the first derivative of -3*v**5/35 - 9*v**4/28 - v**3/7 + 9*v**2/14 + 6*v/7 - 2. Suppose o(q) = 0. What is q?
-2, -1, 1
Suppose 18 = 2*k + k. Let l(s) be the third derivative of 1/30*s**5 + 2*s**2 + 1/12*s**4 + 0 + 0*s - 1/60*s**k - 1/3*s**3. Find b, given that l(b) = 0.
-1, 1
Let g(b) = b**2 - 1. Let a(j) = 2*j**2 - j - 1. Let t = 9 + -15. Let u(l) = t*g(l) + 2*a(l). Factor u(y).
-2*(y - 1)*(y + 2)
Solve -10/13 - 8/13*j + 2/13*j**2 = 0 for j.
-1, 5
Let d(f) be the second derivative of -21*f**5/20 - f**4/2 + 6*f. Factor d(y).
-3*y**2*(7*y + 2)
Let d(c) be the first derivative of -147*c**5/40 - 105*c**4/16 + 13*c**3/2 - 3*c**2/2 - 10. Factor d(f).
-3*f*(f + 2)*(7*f - 2)**2/8
Let x = -33 + 33. Let g(d) be the third derivative of 0*d**4 + 1/120*d**5 + x*d + 0 + 0*d**3 + 2*d**2. What is q in g(q) = 0?
0
Let n(s) = -3*s - 3. Let y be n(-2). Let -1 - 6*z**3 - 3 - 2*z**y - 10*z + 6 + 16*z**2 = 0. Calculate z.
1/2, 1
Suppose 7*n - 2*n - 10 = 0. Factor 8*r**2 + 12*r - 12*r**4 + 4 + 2*r**2 - 4*r**5 - n*r**2 - 8*r**3.
-4*(r - 1)*(r + 1)**4
Let v(h) be the third derivative of 0*h + 2*h**2 + 7*h**4 + 0 - 49/5*h**5 + 343/60*h**6 - 8/3*h**3. Determine k, given that v(k) = 0.
2/7
Let a be 343/(-28) + 1/4. Let f be (-124)/(-90) - a/54. Factor f*r**2 - 2/5*r**3 - 2*r + 4/5.
-2*(r - 2)*(r - 1)**2/5
Let j(n) be the first derivative of 2*n**3/9 + 10*n**2/3 + 50*n/3 + 4. Factor j(x).
2*(x + 5)**2/3
Let n(l) be the first derivative of 1/150*l**5 + l**2 + 0*l + 0*l**3 + 1/300*l**6 + 0*l**4 + 1. Let v(t) be the second derivative of n(t). Factor v(o).
2*o**2*(o + 1)/5
Suppose 2*v - 7 = -z + 1, 0 = z - 4. Let -s**2 + 0*s**2 - s**v = 0. Calculate s.
0
Let s(o) be the first derivative of o**3/6 + o**2/2 + o/2 + 36. Factor s(y).
(y + 1)**2/2
Factor r**2 + 2 + 0*r - 5 + 0*r**2 - 2*r.
(r - 3)*(r + 1)
Let y = 2/171 + 226/171. Determine a so that 2/3*a**2 - y*a + 0 = 0.
0, 2
Suppose -3*n - 2*n - 25 = 0. Let k be (4/10)/(n/(-25)). Factor -2*p - k*p + p**3 + 3*p.
p*(p - 1)*(p + 1)
Factor 0*x**2 - 3*x + 6*x**2 + 0*x**2 - 2*x**3 - x.
-2*x*(x - 2)*(x - 1)
Let c(v) be the third derivative of v**5/60 + 7*v**2. Factor c(z).
z**2
Let i be (-26)/(-24) - -2 - 3. Let q(m) be the second derivative of m**2 - 1/2*m**3 + 0 + m + i*m**4. Factor q(k).
(k - 2)*(k - 1)
Suppose 5 = 2*r - 5*v, -r - 5 = -0*r + 5*v. Factor -1 + r*d + 0*d + 5*d - d - 3*d**2.
-(d - 1)*(3*d - 1)
Let u(s) = -6*s**2 + s - 9. Let d be (1/2)/((-3)/(-30)). Suppose d + 0 = v. Let n(b) = b**2 - b + 1. Let m(a) = v*n(a) + u(a). Factor m(g).
-(g + 2)**2
Let h(z) be the first derivative of 5 - z**4 + 4/3*z**3 + 0*z**2 + 2/3*z**6 - 4/5*z**5 + 0*z. Factor h(i).
4*i**2*(i - 1)**2*(i + 1)
Factor 269*z**4 + 30*z**3 - 135*z**4 + 60*z**2 - 129*z**4 + 40*z.
5*z*(z + 2)**3
Let t(m) be the first derivative of -1 + 2/3*m**3 + 2*m - 2*m**2. Factor t(u).
2*(u - 1)**2
Let w = 27409/47 - 583. Let b = w - -1159/94. Factor b*u**4 + 0 + 2*u**2 - 10*u**3 + 0*u.
u**2*(5*u - 2)**2/2
Let u be 1/5*(-10)/(-8). Find z, given that -5/4*z + z**2 + u = 0.
1/4, 1
Let h(d) be the third derivative of d**5/270 + d**4/36 - 4*d**3/27 - 6*d**2. Solve h(o) = 0.
-4, 1
Let f = -5/23 + 61/69. Factor -2/3*y - 1/3*y**2 + f*y**3 + 1/3.
(y - 1)*(y + 1)*(2*y - 1)/3
Solve -32 + 2 + 4*a**2 + 4*a + 8 - 2 = 0.
-3, 2
Let r(k) be the second derivative of k**8/5760 - k**7/945 + k**6/1080 + k**4/6 - 5*k. Let m(s) be the third derivative of r(s). Suppose m(g) = 0. What is g?
0, 2/7, 2
Let k(m) be the second derivative of -1/3*m**3 - 1/2*m**2 + 1/30*m**5 + 1/12*m**4 + 0 - 1/60*m**6 - m. Let t(s) be the first derivative of k(s). Factor t(h).
-2*(h - 1)**2*(h + 1)
Let c(s) = 2*s - 7 + 4 - s - 2*s. Let v be c(-7). Factor -4*w**v - 3*w**5 - w**4 + 4*w**5 + 4*w**4.
w**4*(w - 1)
Factor 2/3*f**4 + 0*f**2 + 0 + 1/3*f**3 + 1/3*f**5 + 0*f.
f**3*(f + 1)**2/3
Let p(k) be the third derivative of 8*k**7/21 + 5*k**6/3 + 11*k**5/4 + 25*k**4/12 + 5*k**3/6 - 9*k**2. Factor p(v).
5*(v + 1)**2*(4*v + 1)**2
Factor 3*t**2 - 4*t**3 - 31 + 7*t - 3*t**3 - 5*t**4 + 33.
-(t - 1)*(t + 1)**2*