ative of 2/35*v**5 - 1/14*v**4 - 2/21*v**3 + 0*v - 2 + a*v**2. Factor o(y).
2*y*(y - 1)**2*(y + 1)/7
Let y(l) = -2*l**3 - 2*l**2 + l. Let r be y(-4). Let x be 3 - (-3 + r/16). Factor 0 - 1/4*n**2 - 1/2*n**5 + 5/4*n**4 - 3/4*n**3 + x*n.
-n*(n - 1)**3*(2*n + 1)/4
Let u(m) be the third derivative of -m**8/112 + m**7/70 + m**6/20 - m**5/10 - m**4/8 + m**3/2 - m**2. Solve u(s) = 0.
-1, 1
Let i(c) be the first derivative of -c**2/2 - 3*c - 1. Let r be i(-5). Suppose -4 + d**r - 1 - d**3 + 4 + d = 0. Calculate d.
-1, 1
Let z(o) be the third derivative of o**8/1344 + o**7/840 - o**6/480 - o**5/240 - 5*o**2. Solve z(m) = 0.
-1, 0, 1
Let c(n) be the third derivative of -n**6/30 + 2*n**5/15 - 11*n**2. Factor c(p).
-4*p**2*(p - 2)
Suppose -60*a - 15 = -65*a. Let r(s) be the first derivative of 1/3*s**a - 1/16*s**4 - 5/8*s**2 - 3 + 1/2*s. Factor r(b).
-(b - 2)*(b - 1)**2/4
Let c(j) be the second derivative of -j**5/80 + j**4/8 - 4*j**2 - 59*j. Factor c(g).
-(g - 4)**2*(g + 2)/4
Factor -13*y - 30*y**2 - 7*y**4 + 4 - 38*y**3 - 7*y**4 + 11*y.
-2*(y + 1)**3*(7*y - 2)
Let o(c) = c**3 - 5*c**2 - c + 4. Let y be o(5). Let z be ((-4)/70)/(y/15). Factor -z*x**3 + 6/7*x**4 - 2/7*x**5 + 2/7*x**2 + 0*x + 0.
-2*x**2*(x - 1)**3/7
Let p(m) be the third derivative of m**7/945 - m**6/135 + m**5/135 + m**4/27 - m**3/9 - 10*m**2. Suppose p(z) = 0. Calculate z.
-1, 1, 3
Let p(b) = -b**3 - 6*b**2 + 3*b + 42. Let u be p(-5). Factor 4/7*v**u + 2/7*v - 4/7 - 2/7*v**3.
-2*(v - 2)*(v - 1)*(v + 1)/7
Let r(o) = 2*o - 10. Let c be r(7). Let y be 8/5 - c/(-10). Let k + 1 + 2*k - 4*k - 2*k**y = 0. Calculate k.
-1, 1/2
Let g(j) = -j**2 + 5*j - 3. Let n(o) = o - 1. Let c(a) = g(a) - 3*n(a). Determine d, given that c(d) = 0.
0, 2
Determine l, given that -3/2*l**2 + 0*l + 0 + l**3 - 1/6*l**4 = 0.
0, 3
Factor -6*c**2 - 3*c**4 - 192*c**3 - 4 + 12*c + 13 + 180*c**3.
-3*(c - 1)*(c + 1)**2*(c + 3)
Let v(u) be the second derivative of -3*u**8/224 - u**7/20 - u**6/15 - u**5/30 - 3*u**2 + 3*u. Let k(n) be the first derivative of v(n). Factor k(i).
-i**2*(i + 1)*(3*i + 2)**2/2
Let w(u) be the third derivative of u**8/1176 - 2*u**7/735 + u**5/105 - u**4/84 - 17*u**2. Determine t, given that w(t) = 0.
-1, 0, 1
Factor -20*n - 5*n**5 + 20*n.
-5*n**5
Let w be 142/(-228) - 12/(-9). Let t = -4/19 + w. Factor 0*g - t*g**2 + 0 - 1/2*g**3.
-g**2*(g + 1)/2
Let n be (1/(6/(-93)))/19. Let y = -6/19 - n. Solve -1/2*f + y*f**3 - 1/2*f**2 + 1/2*f**4 + 0 = 0 for f.
-1, 0, 1
Let c = 44 - 43. Let v(m) be the first derivative of -1/3*m - c + 1/9*m**3 + 0*m**2. Factor v(s).
(s - 1)*(s + 1)/3
Solve 2/5*h**2 + 8/5*h + 0 = 0.
-4, 0
Let v be 2/8 + -1 + 162/24. Let x(c) be the third derivative of 1/360*c**v + 0 + 1/24*c**4 + 0*c - 1/60*c**5 - 1/18*c**3 + 2*c**2. Factor x(z).
(z - 1)**3/3
Let u(c) = -22*c**5 + 8*c**4 + 12*c**3 - 8*c**2 + 10*c + 12. Let o(b) = -9*b**5 + 3*b**4 + 5*b**3 - 3*b**2 + 4*b + 5. Let g(k) = -12*o(k) + 5*u(k). Factor g(v).
-2*v*(v - 1)**3*(v + 1)
Factor -2*j**5 + 6*j**5 - 3*j**5 + 4*j**4 + 6*j**3 + 4*j**2 + j.
j*(j + 1)**4
Let y(z) be the first derivative of -2*z**5/5 + 3*z**4/2 - 2*z**3 + z**2 - 2. Find w such that y(w) = 0.
0, 1
Suppose -3*m + 0*m + m**3 + 2*m = 0. What is m?
-1, 0, 1
Let y(k) = 7*k**2 - 5*k + 3. Let u(m) = -10*m**2 + 7*m - 4. Let q(x) = -5*u(x) - 7*y(x). Let q(j) = 0. Calculate j.
-1, 1
Suppose -6*f**2 + f**4 + 10*f**3 - 5*f**3 + 5*f**4 - 2*f**3 - 3*f**5 = 0. Calculate f.
-1, 0, 1, 2
Let z = 8 - 5. Let n(f) be the third derivative of 0*f**z - 1/105*f**7 + 1/12*f**4 + 1/20*f**6 - 1/10*f**5 + 0 + 0*f - f**2. What is j in n(j) = 0?
0, 1
Let t(d) be the second derivative of 1/18*d**3 + 2*d + 0*d**2 + 1/36*d**4 + 0. Suppose t(x) = 0. Calculate x.
-1, 0
Let i = -3 + -1. Let m = i + 6. Factor -4/5 - 6/5*t**2 + m*t.
-2*(t - 1)*(3*t - 2)/5
Let n be (-136)/36 + 0 + 6 + -2. Solve -2/9 - 4/9*o**3 - n*o**5 + 2/3*o - 4/9*o**2 + 2/3*o**4 = 0 for o.
-1, 1
Let i = 19 + -9. Let y = i - 7. Find b, given that -6*b - y*b**3 + 10*b - 10*b - 9*b**2 = 0.
-2, -1, 0
Let n(v) be the first derivative of 1/4*v**4 + 0*v + 3 - 3/10*v**5 + 1/2*v**3 - 1/2*v**2. Factor n(r).
-r*(r - 1)*(r + 1)*(3*r - 2)/2
Let o(p) be the third derivative of p**5/60 + p**4/6 - 5*p**3/6 - 4*p**2. Determine y, given that o(y) = 0.
-5, 1
Suppose 22*s + 25 = 27*s. Factor -2/3*n**3 + 0 + 0*n**2 + 1/3*n**s + 1/3*n + 0*n**4.
n*(n - 1)**2*(n + 1)**2/3
Let g be -1 + 2 + 1 + 0. Suppose k**2 - 3*k**g + k + 3 - 3 = 0. Calculate k.
0, 1/2
Let d(n) be the first derivative of -n**7/1890 - n**6/1620 + n**5/270 + n**4/108 + n**3/3 - 3. Let c(z) be the third derivative of d(z). Factor c(s).
-2*(s - 1)*(s + 1)*(2*s + 1)/9
Let j(p) be the second derivative of p**8/3360 + p**4/4 - 3*p. Let s(g) be the third derivative of j(g). Factor s(y).
2*y**3
Let s be 16/33 + -4*(-3)/66. Factor -s*w**2 - 2/3*w + 0.
-2*w*(w + 1)/3
Let v(z) = -21*z**3 + 48*z**2 + 15*z - 27. Let o(b) = 3*b**3 - 7*b**2 - 2*b + 4. Let i(k) = 27*o(k) + 4*v(k). Find n such that i(n) = 0.
-1, 0, 2
Let q be (-19)/(-36) + (-5)/20. Let b = 11/90 + q. Suppose -b*i**2 + 2/5*i + 0 = 0. Calculate i.
0, 1
Let w(u) = u**3 + 6*u**2 - 3. Let c be w(-6). Let i = 5 + c. Let 2/11*z**i - 2/11 + 0*z = 0. What is z?
-1, 1
Let w = -42 - -45. Factor 0*x**2 + 2/7*x**4 - 2/7 - 4/7*x**w + 4/7*x.
2*(x - 1)**3*(x + 1)/7
Let r(i) be the second derivative of -6*i - 1/2*i**2 - 1/12*i**4 + 1/3*i**3 + 0. Solve r(p) = 0 for p.
1
Let p(w) = 6*w + 4. Let h(j) = -j**2 + 12*j + 8. Suppose 3*o + a - 11 = -0*o, 0 = -3*o + 5*a - 19. Let q(v) = o*h(v) - 5*p(v). Factor q(t).
-2*(t + 1)*(t + 2)
Let d(y) = -y**2 - 2*y - 2. Suppose -2*v - 1 = -21. Suppose -5*c - 5*i = v, -2*c + 5*i + 14 = -3*c. Let t(f) = 1. Let n(b) = c*d(b) + 2*t(b). Factor n(w).
-w*(w + 2)
Solve 4/9*f - 2/9*f**4 + 0 - 2/3*f**3 + 2/9*f**5 + 2/9*f**2 = 0.
-1, 0, 1, 2
Let p(x) = -x**2 - x - 1. Let m(o) = -6*o**2 - 10*o - 12. Let c(r) = m(r) - 8*p(r). Factor c(w).
2*(w - 2)*(w + 1)
Find c, given that 0*c**2 + 0 + 18/7*c**4 + 0*c - 4/7*c**3 = 0.
0, 2/9
Let r(n) = 4*n**2 - 6*n + 8. Suppose 1 - 9 = -4*j. Let a(u) = u**2 + u. Let q(g) = j*r(g) - 4*a(g). Factor q(x).
4*(x - 2)**2
Suppose -2*n - 10 = -5*q - 5, 0 = -4*q + 4. Let r(z) be the third derivative of z**2 + n*z + 0*z**3 + 1/24*z**4 - 1/60*z**5 + 0. Determine y so that r(y) = 0.
0, 1
Let t = 4/5 - 34/55. Solve -t*y**2 + 0 - 4/11*y = 0 for y.
-2, 0
Let a(b) = -b**2 - 2*b + 3. Let l be a(-3). Let m(i) = -11*i + 11. Let k be m(1). Suppose -3/4*t**3 - 1/4*t**2 - 1/4*t**5 + l - 3/4*t**4 + k*t = 0. What is t?
-1, 0
Let r(b) be the first derivative of -b**9/2268 - b**8/630 + b**6/135 + b**5/90 - b**3/3 - 8. Let w(z) be the third derivative of r(z). What is t in w(t) = 0?
-1, 0, 1
Let k(b) be the third derivative of -b**7/147 - b**6/60 - b**5/105 + 25*b**2. Find o such that k(o) = 0.
-1, -2/5, 0
Let m(i) be the third derivative of i**6/60 - i**5/30 - i**4/6 - i**2. Factor m(t).
2*t*(t - 2)*(t + 1)
Let 0 + 10/7*o - 8/7*o**2 - 2/7*o**3 = 0. What is o?
-5, 0, 1
Factor -25/4 - 1/4*k**2 + 5/2*k.
-(k - 5)**2/4
Let z(j) = -j**3 - 2*j**2 - 4. Let v be z(-3). Let n(f) = -f**2 + 5*f + 3. Let w be n(v). Find o such that o**w + 3*o**2 - o**2 - 5*o + 4*o - 2*o**3 = 0.
0, 1
Factor 1/3*f**2 + f**3 - f - 2/3 + 1/3*f**4.
(f - 1)*(f + 1)**2*(f + 2)/3
Solve 164*g**4 - 25*g - 189*g**5 + 195*g**3 + 16*g**4 + 24 - 150*g**2 - 35*g = 0.
-2/3, 2/7, 1
What is x in 0 - 1/7*x**2 + 5/7*x**4 - 4/7*x**3 + 0*x = 0?
-1/5, 0, 1
Let v(h) be the third derivative of -h**7/945 - h**6/180 - h**5/135 + 6*h**2. Find l such that v(l) = 0.
-2, -1, 0
Let n(q) be the third derivative of 1/10*q**3 + 0*q - 7*q**2 - 1/100*q**5 + 0*q**4 + 0. What is z in n(z) = 0?
-1, 1
Let b be ((-1)/(-2)*3)/1. Suppose 1/6*q**2 + b + q = 0. Calculate q.
-3
Let o = -91 + 821/9. Let z(w) be the first derivative of -4 + 2/9*w**2 + 2/27*w**3 + o*w. Solve z(l) = 0.
-1
Let v(n) be the second derivative of 3*n**5/160 + 3*n**4/32 + n**3/8 - 2*n + 4. Factor v(y).
3*y*(y + 1)*(y + 2)/8
Let m = -26 - -28. Determine x so that -14/9*x**3 - 4/9 + 4/9*x**m + 14/9*x = 0.
-1, 2/7, 1
Let t(b) = b**4 + b**3 - b**2 + b + 1. Let p(k) = -8*k**3 - 16*k**2 + 4. Let m(g) = -p(g) + 4*t(g). Factor m(v).
4*v*(v + 1)**3
Let l(c) be the second derivative of 0 + 1/5*c**6 - 9/20*c**5 - 3/2*c**2 - 3*c + 3/2*c**3 -