 1. Let j(z) = -l(z) - 2*m(z). Factor j(w).
-4*(w - 2)*(9*w + 2)**2
Factor -8/5*b - 6/5 - 2/5*b**2.
-2*(b + 1)*(b + 3)/5
Let i(y) be the third derivative of -y**7/490 + y**6/56 - 3*y**5/70 - y**4/14 + 4*y**3/7 + 6*y**2. Suppose i(a) = 0. Calculate a.
-1, 2
Find u such that 50/9*u + 10/9*u**4 - 4/3 + 2/3*u**3 - 6*u**2 = 0.
-3, 2/5, 1
Let f(n) be the third derivative of -1/2*n**3 + 0*n - 1/200*n**5 - 1/1800*n**6 - 1/60*n**4 - 2*n**2 + 0. Let m(l) be the first derivative of f(l). Factor m(r).
-(r + 1)*(r + 2)/5
Let z(v) be the first derivative of -2*v**3/39 - v**2/13 + 4. Find n, given that z(n) = 0.
-1, 0
Suppose 23 = 4*r + 15. Solve -2/7 + 0*y + 2/7*y**r = 0.
-1, 1
Factor -1772*o**3 - 13*o - 84*o**2 - 11*o + 1682*o**3 - 12*o**4 - 15*o**4.
-3*o*(o + 2)*(3*o + 2)**2
Let k = 54 + -52. Factor 0 - 2/5*j**k + 4/5*j.
-2*j*(j - 2)/5
Let j(u) be the third derivative of -u**8/252 + u**7/45 - u**6/20 + u**5/18 - u**4/36 - 23*u**2. Factor j(h).
-2*h*(h - 1)**3*(2*h - 1)/3
Let l = -8 + -4. Let s be -1*(-4)/(l/(-9)). Let -3*q**s + 6*q**3 + q**2 - 2*q**3 = 0. Calculate q.
-1, 0
Let y(g) be the first derivative of 14*g**5/5 - 23*g**4/2 - 44*g**3/3 + 8*g**2 - 8. Find q, given that y(q) = 0.
-1, 0, 2/7, 4
Let j(g) be the first derivative of 2*g**5/65 - 3*g**4/26 - 10*g**3/13 - 17*g**2/13 - 12*g/13 + 36. Factor j(l).
2*(l - 6)*(l + 1)**3/13
Let j be 4/(-22) - (-2 + (-468)/(-330)). Determine z so that -2/5*z**3 + 0*z + 0 + 2/5*z**5 + 2/5*z**2 - j*z**4 = 0.
-1, 0, 1
Let y(n) be the second derivative of n**7/42 - 3*n**5/20 + n**4/6 + 4*n. Factor y(c).
c**2*(c - 1)**2*(c + 2)
Let j(c) be the second derivative of c**7/252 + 11*c**6/180 + 17*c**5/60 + 7*c**4/36 - 35*c**3/36 - 25*c**2/12 - 22*c. Solve j(z) = 0 for z.
-5, -1, 1
Let b(g) be the first derivative of 2*g**5/5 - 2*g**4 + 10*g**3/3 - 2*g**2 + 35. Factor b(f).
2*f*(f - 2)*(f - 1)**2
Let z(o) = 4*o**3 + 16*o**2 + 26*o + 18. Let x(s) = -s**3 - s**2 + s - 1. Let t(c) = -2*x(c) - z(c). Factor t(u).
-2*(u + 1)*(u + 2)*(u + 4)
Suppose -3*t = -3*y + t - 16, 0 = -3*t + 12. Determine q, given that 2*q - 6*q - 4*q**2 + y*q**2 + 0*q = 0.
-1, 0
Let a(b) be the first derivative of -1/12*b**3 - 2 - 1/2*b**2 - b. Determine t, given that a(t) = 0.
-2
Suppose 4*h = 3*h + 2. Suppose 5*f = 3*t, 0*t - 4*f = -h*t. Find r, given that r**2 + t + 1/2*r - r**4 - 1/2*r**3 = 0.
-1, -1/2, 0, 1
Let z(f) be the second derivative of 3*f**5/8 + 5*f**4/3 + 65*f**3/36 + 5*f**2/6 - 33*f. Find g such that z(g) = 0.
-2, -1/3
Suppose 2*z = -3*v + 14, 2*v = 3 + 1. Factor -12*i**4 + z*i**3 + 4*i**5 - 4*i**2 + 0*i**3 + 8*i**3.
4*i**2*(i - 1)**3
Let q be (-30)/(-9)*(-24)/(-5). Factor -4*r**3 - 5*r**2 - 3*r**4 + 2*r**4 - 18*r + q*r.
-r*(r + 1)**2*(r + 2)
Let z(o) = -45*o**3 - 116*o**2 + 60. Let l(q) = 9*q**3 + 23*q**2 - 12. Let f(b) = -11*l(b) - 2*z(b). Factor f(n).
-3*(n + 1)*(n + 2)*(3*n - 2)
Let s(k) be the third derivative of k**7/315 + 11*k**6/90 + 121*k**5/90 - 28*k**2. Factor s(r).
2*r**2*(r + 11)**2/3
Suppose 56*k**2 - 16*k**2 + 4 - k - 25*k - 18*k**3 = 0. What is k?
2/9, 1
Let h = 525 + -523. Factor -1/3*q**3 + 0*q - 1/3*q**h + 0.
-q**2*(q + 1)/3
Let u(o) be the third derivative of o**7/490 + o**6/420 - o**5/140 - o**4/84 - 9*o**2. Solve u(x) = 0.
-1, -2/3, 0, 1
Let s(q) be the third derivative of q**4/24 - q**3/6 - 3*q**2. Let j be s(1). Determine o, given that 2 + j*o**4 + 3*o - 2*o**4 + o - 4*o**3 = 0.
-1, 1
Suppose 22 = 4*u - 2*w, 4*u - 6*w + w - 25 = 0. Suppose 0*o - 3*o**4 + u*o**4 + 6*o**2 + 2*o + 6*o**3 = 0. What is o?
-1, 0
Factor -2/3*k**2 + 4/3*k - 2/3.
-2*(k - 1)**2/3
Suppose 5*g = 2*g + 18. Let w = 11 - g. Find y, given that -11/4*y**2 - 101/4*y**4 - 89/4*y**3 + 4*y + 1 - 35/4*y**w = 0.
-1, -2/7, 2/5
Let g(d) be the second derivative of 2*d - 1/6*d**3 + 0*d**5 + 0 + 0*d**4 + 1/180*d**6 + 0*d**2. Let u(m) be the second derivative of g(m). Solve u(b) = 0.
0
Let w = 19 - 12. Solve w*a**4 - a**3 + a - 3*a**5 - 2*a - 3*a**2 + 3*a - 2*a**3 = 0.
-2/3, 0, 1
Let s(v) be the first derivative of -2 - v**4 - 1/3*v**3 + 0*v - 1/3*v**6 + 0*v**2 - v**5. Factor s(t).
-t**2*(t + 1)**2*(2*t + 1)
Let q(b) be the first derivative of 2*b**3/45 - 8*b**2/15 + 32*b/15 + 7. What is j in q(j) = 0?
4
Let s(b) be the first derivative of 12/5*b**5 + 0*b**2 + 3*b**4 + 2/3*b**6 - 1 + 4/3*b**3 + 0*b. Factor s(l).
4*l**2*(l + 1)**3
Suppose -r - 6 = -2*z, 0 = 2*r + 6*z - 7*z. Factor -10/7*v - 6/7*v**r - 4/7.
-2*(v + 1)*(3*v + 2)/7
Let p be (951/2)/((-21)/(-4)). Let u = p + -90. Factor -u - 6/7*t - 2/7*t**2.
-2*(t + 1)*(t + 2)/7
Suppose 2*r - 3 - 13 = 4*i, 2*i + 8 = 2*r. Let v be 4/(-6)*(i - -1). Find s, given that 3*s**v + 9 - 1/3*s**3 - 9*s = 0.
3
Factor 8*k**3 - 7*k**4 - 10*k**3 + k**4 - 4*k**5.
-2*k**3*(k + 1)*(2*k + 1)
Let d be 18/((18/(-8))/(-3)). Let v be (8/(-30))/(d/(-60)). Factor 0*u + 2/3*u**2 + 0 - v*u**3.
-2*u**2*(u - 1)/3
Let a(t) be the third derivative of 3/50*t**5 + t**2 - 2/15*t**3 - 1/175*t**7 + 0 + 0*t - 1/20*t**4 - 1/300*t**6. Solve a(j) = 0.
-2, -1/3, 1
Let d = 3 + 0. Find i, given that -38*i**d + 101*i**5 - 129*i**5 - 76*i**2 - 16 - 14*i**3 + 92*i**4 + 80*i = 0.
-1, 2/7, 1, 2
Let g(y) be the second derivative of -y**4/84 + 2*y**3/21 - 26*y. Suppose g(c) = 0. Calculate c.
0, 4
Let m(s) = -34 + 34 - 8*s - 10*s**3 + 14*s**2. Let u(n) = 11*n**3 - 15*n**2 + 7*n. Let v(y) = 3*m(y) + 4*u(y). Factor v(t).
2*t*(t - 1)*(7*t - 2)
Suppose 2*r + 18 = 4*i, i - 15 = -2*i + r. Let p be (-10)/(-4) + i + -8. Let -l**2 + 1/2 + 0*l + p*l**4 + 0*l**3 = 0. Calculate l.
-1, 1
Let f(j) be the first derivative of j**5/15 + j**4/4 + j**3/9 - j**2/2 - 2*j/3 + 1. Factor f(z).
(z - 1)*(z + 1)**2*(z + 2)/3
Factor 4/3 - 55/3*q**2 + 4*q.
-(5*q - 2)*(11*q + 2)/3
Let q(n) be the third derivative of n**7/84 + n**6/15 + 3*n**5/20 + n**4/6 + n**3/3 - n**2. Let t(u) be the first derivative of q(u). Let t(k) = 0. Calculate k.
-1, -2/5
Factor -2*p**2 - 4/5*p - 18/5*p**4 + 32/5*p**3 + 0.
-2*p*(p - 1)**2*(9*p + 2)/5
Let s = -1096/9 + 122. Let o = 1433/9 + -159. Find i, given that s*i**2 + 0 - o*i = 0.
0, 1
Let s(o) = -5*o**2 - 9*o - 3. Let c(l) = 25*l**2 + 37*l + 13. Let m(i) = i**2. Let n(j) = -c(j) + 4*m(j). Let y(f) = -6*n(f) + 26*s(f). Factor y(v).
-4*v*(v + 3)
Let p(z) be the third derivative of z**5/360 - z**4/144 - z**3/6 + 7*z**2 + 3. What is h in p(h) = 0?
-2, 3
Let v(c) = -c**3 - 3*c**2 + 3*c - 2. Let z be v(-4). Let 2*s**2 + 0*s**2 + 2*s - 1 - 3*s**z = 0. Calculate s.
1
Let b be (8/3)/((-6)/(-9)). Suppose b*v = z - 20, v + 19 = 3*z - z. Suppose -4 - 26*s**3 + 6*s**3 + 10*s - 2*s**4 + z*s**2 + 10*s**5 - 2*s**4 = 0. Calculate s.
-1, 2/5, 1
Factor 7*j**3 + 3*j**4 + 3*j**3 - 4*j**3.
3*j**3*(j + 2)
Let u = -250/461 - -52793/43795. Let o = 14/19 + u. Factor -o*d**2 - d**3 + 0 - 2/5*d.
-d*(d + 1)*(5*d + 2)/5
Let y(o) = 2*o**2 - 2*o. Let l be y(2). Factor -142*v**3 + 64 + 443*v**2 + 48*v**4 + 569*v**2 - 480*v + v**l - 278*v**3.
(v - 4)**2*(7*v - 2)**2
Let l(y) be the third derivative of 0 + 1/45*y**5 + 0*y**3 - 3*y**2 + 0*y - 1/6*y**4. Suppose l(m) = 0. What is m?
0, 3
Let t(s) be the second derivative of -s**8/672 + s**7/210 - s**5/60 + s**4/48 + s**2 - 3*s. Let k(j) be the first derivative of t(j). Factor k(c).
-c*(c - 1)**3*(c + 1)/2
What is s in -250/13*s**3 + 504/13*s**5 + 58/13*s**2 - 4/13*s + 192/13*s**4 + 0 = 0?
-1, 0, 1/6, 2/7
Let i(m) be the second derivative of -m**7/105 - m**6/25 - 3*m**5/50 - m**4/30 - 15*m. Determine z, given that i(z) = 0.
-1, 0
Let h(j) = -j**3 + j - 2. Let v be h(-2). Suppose v = 6*b - 8. Factor -2/3*q**2 - 4/3 - b*q.
-2*(q + 1)*(q + 2)/3
Factor -4/9*p + 2/9*p**2 + 0.
2*p*(p - 2)/9
Let s = -308/15 + 1114/45. Find i, given that 2/3*i**3 + 4*i**4 - s*i**2 + 0*i + 8/9 = 0.
-1, -1/2, 2/3
Let r(u) be the first derivative of -2/9*u**2 + 2 - 2/27*u**3 - 2/9*u. Factor r(y).
-2*(y + 1)**2/9
Let a(v) be the third derivative of 1/105*v**7 + 0*v**3 - 1/60*v**6 - 1/30*v**5 - v**2 + 0*v + 1/168*v**8 + 0 + 0*v**4. Factor a(z).
2*z**2*(z - 1)*(z + 1)**2
Let -36/11*g**2 + 16/11*g**3 + 54/11 - 2/11*g**4 + 0*g = 0. What is g?
-1, 3
Find f, given that -1/2*f**5 - 5*f**3 + 5*f**2 - 5/2*f + 5/2*f**4 + 1/2 = 0.
1
Let g(k) be the second derivative of -3*k**5/10 + 3*k**4/4 - 3*k**2/2 + 7*k. Factor g(r).
-3*(r - 1)**2*(2*r + 1)
Let f(t) = -t**3 - 3*t**2 + 6*t - 2. Supp