ve of 2*v + 1/18*v**3 + 11/60*v**5 - 1/4*v**4 - 2/45*v**6 + 1 + 1/6*v**2. Let o(a) be the first derivative of i(a). Factor o(b).
-(b - 1)**3*(4*b + 1)/3
Let w(a) be the second derivative of 7*a + 0 - 5/21*a**4 + 1/147*a**7 + 1/7*a**5 - 1/7*a**2 - 1/21*a**6 + 5/21*a**3. What is i in w(i) = 0?
1
Let p be 1/1 - 1 - 11/(-88). Let x(z) be the second derivative of -3*z + 1/4*z**2 - 3/80*z**5 + p*z**3 + 0 - 1/24*z**4. Factor x(u).
-(u - 1)*(u + 1)*(3*u + 2)/4
Let o(k) be the third derivative of -k**8/672 - k**7/105 - k**6/40 - k**5/30 - k**4/48 + 3*k**2. Find y such that o(y) = 0.
-1, 0
Let j(y) = -y**3 + y + 1. Let k(x) = x**2. Let p(h) = -4*h**3 + 4*h**2 + 4*h + 3. Let c(z) = 4*k(z) - p(z). Let q(s) = -2*c(s) - 6*j(s). Factor q(d).
-2*d*(d - 1)*(d + 1)
Let o(i) be the first derivative of -i**6/6 - 2*i**5/5 - i**4/4 + 8. Determine s, given that o(s) = 0.
-1, 0
Suppose 4/3*h - h**2 - 4/3*h**3 + 1 = 0. What is h?
-1, -3/4, 1
Let c(m) be the second derivative of -m**5/120 + 7*m**4/72 - m**3/6 - 2*m. Factor c(d).
-d*(d - 6)*(d - 1)/6
Let l(a) = -28*a**2 + 32*a - 52. Let k(o) = -13 + o**2 + 30 + 11*o**2 - 3*o**2 - 11*o. Let s(n) = 16*k(n) + 5*l(n). Let s(p) = 0. Calculate p.
1, 3
Let v(q) be the first derivative of 0*q + 11/10*q**5 - 9/8*q**4 - 1/3*q**6 + 1/6*q**3 - 9 + 1/4*q**2. Factor v(l).
-l*(l - 1)**3*(4*l + 1)/2
Let r(a) be the second derivative of a**4/6 + a**3/3 + 13*a. Suppose r(i) = 0. Calculate i.
-1, 0
Let q(w) be the second derivative of w**4/4 - w**3 + 11*w. Factor q(n).
3*n*(n - 2)
Let n be (-224)/(-84) - (-14)/(-9). Find f, given that 0 + 14/9*f**2 - 4/9*f - 8/9*f**4 + n*f**3 = 0.
-1, 0, 1/4, 2
Suppose -3*s + 5 + 2 = d, 0 = -3*s - 4*d - 8. Suppose 0 = -z - s*z. Factor -1/3*o**2 + 1/3 + z*o.
-(o - 1)*(o + 1)/3
Suppose -f + 3*f = 4*a - 36, 4*f + 4*a = -12. Let m be (-30)/f - 1/(-4). What is v in v**3 + m*v - 3*v + 0*v + 2*v**2 = 0?
-1, 0
Let c be (-15)/6 + (-85)/(-10). Let r(s) be the third derivative of -1/90*s**c + 1/30*s**5 + 1/630*s**7 + 0 - 2*s**2 - 1/18*s**4 + 0*s + 1/18*s**3. Factor r(v).
(v - 1)**4/3
Let h(c) be the first derivative of -c**3/12 - c**2/4 - 1. Determine g so that h(g) = 0.
-2, 0
Let b(f) be the second derivative of -f**5/40 - f**4/24 - 2*f. Solve b(h) = 0.
-1, 0
Let c(a) = a**2 - 6*a + 6. Let i be c(6). Suppose 2*h = m + 4, 2*h - 2*m + 16 = i*h. Determine p, given that p + 1/3*p**h + p**2 + 1/3 = 0.
-1
Let d(a) be the first derivative of a**3/3 + 6. Let d(l) = 0. Calculate l.
0
Let y(x) be the second derivative of -1/3*x**3 + x + 1/10*x**5 + 2/7*x**2 + 0 - 1/21*x**4. What is i in y(i) = 0?
-1, 2/7, 1
Let g(h) = -6*h**2 + 59*h + 14. Let n be g(10). Solve -48/7*c**n - 2/7*c**3 - 2/7*c + 0 - 32/7*c**5 + 12/7*c**2 = 0.
-1, 0, 1/4
Suppose k**2 - k**4 + 1/3*k**3 + 0 - 1/3*k = 0. Calculate k.
-1, 0, 1/3, 1
Let p(u) be the third derivative of -u**8/6720 - u**7/5040 - u**5/20 + u**2. Let l(a) be the third derivative of p(a). Find r, given that l(r) = 0.
-1/3, 0
Let h(o) be the second derivative of -o**4/3 - 4*o**3/3 - 2*o**2 + o + 14. Factor h(d).
-4*(d + 1)**2
Let w(i) be the second derivative of i**4/36 + i**3/9 - 12*i. Factor w(c).
c*(c + 2)/3
Let p be 140/147 - (-2)/(-3). Determine k, given that 0*k - p*k**3 + 0 + 0*k**2 = 0.
0
Let a(w) be the first derivative of w**3 - 33*w**2/2 + 8. Factor a(m).
3*m*(m - 11)
Let n be (-1)/(4 - 68/12). Factor -2/5*b + 1/5*b**2 - n.
(b - 3)*(b + 1)/5
Let j(c) be the first derivative of -c**6/3 - 2*c**5/5 + c**4 + 4*c**3/3 - c**2 - 2*c + 6. Factor j(q).
-2*(q - 1)**2*(q + 1)**3
Let x(z) be the second derivative of 0*z**4 + 1/1260*z**6 + 1/3*z**3 - z + 0*z**2 + 0 + 1/420*z**5. Let w(n) be the second derivative of x(n). Factor w(o).
2*o*(o + 1)/7
Let s(p) = 3*p**2 - 2*p + 3. Let h be s(1). Factor 2/3*n**3 - 2/3*n + 2/3*n**2 + 0 - 2/3*n**h.
-2*n*(n - 1)**2*(n + 1)/3
Determine q so that 0 + 6/5*q + 3/5*q**2 = 0.
-2, 0
Let c(j) be the second derivative of -j**5/130 - j**4/26 - j. Factor c(i).
-2*i**2*(i + 3)/13
Let y(x) = 21*x**3 + 51*x**2 - 18*x + 6. Let a(t) = 21*t**3 + 52*t**2 - 18*t + 5. Let j(r) = 6*a(r) - 5*y(r). Factor j(s).
3*s*(s + 3)*(7*s - 2)
Let z(j) be the third derivative of -1/10*j**7 - 1/20*j**6 + 0*j + 0 + 0*j**4 + 0*j**5 + 0*j**3 - 3*j**2. Find h, given that z(h) = 0.
-2/7, 0
Let d be (0 + -2)/((-2)/19). Suppose -2*g + 5*y + 5 = -7*g, 5*y = 2*g - d. What is x in 9*x**g - 2 - x + 22*x**3 - 9*x**3 + 0*x + 5*x**4 = 0?
-1, 2/5
Let x(v) = -2*v**2 + 8*v + 10. Let q = -3 - -4. Let f(b) = -b - 1. Let y(o) = q*x(o) + 6*f(o). Factor y(w).
-2*(w - 2)*(w + 1)
Factor -4*w**2 - 3*w**2 + 6*w**2 - 4 - 2*w - 3*w.
-(w + 1)*(w + 4)
Let p(y) = 1. Let r(f) be the third derivative of -f**6/40 - 3*f**5/10 - 3*f**4/2 - 10*f**3/3 + f**2. Let s(t) = -4*p(t) + r(t). Let s(j) = 0. Calculate j.
-2
Let q(a) = -4*a**2 - a + 2. Let h(l) = -7*l**2 - l + 3. Suppose o = -3*o - 20. Let c(u) = o*q(u) + 3*h(u). Factor c(i).
-(i - 1)**2
Factor 10/7*g**4 - 2/7*g**5 - 2*g**3 + 6/7*g**2 + 0 + 0*g.
-2*g**2*(g - 3)*(g - 1)**2/7
Let s = 18 - 13. Suppose s*i = i + 16. Factor -2*r**3 + 2*r**i - 3*r**4 + r**3.
-r**3*(r + 1)
Let r be (-6)/9 + (-20)/(-15). Let q = -5/3 - -2. Factor r*v - 1/3 - q*v**2.
-(v - 1)**2/3
Suppose 2*p + 9 = 3*f - 13, -3*p - 18 = -2*f. Let w(v) be the third derivative of 0 + 0*v + 1/24*v**f + 0*v**3 - 1/10*v**5 + 3*v**2 + 1/24*v**4. Factor w(t).
t*(t - 1)*(5*t - 1)
Let k(a) be the third derivative of 0*a**3 + 0 - 1/16*a**4 - 1/70*a**7 + 1/20*a**5 + 4*a**2 + 0*a + 1/224*a**8 + 0*a**6. Suppose k(j) = 0. Calculate j.
-1, 0, 1
Let l(r) = r + 4. Let p = 8 + -10. Let v be l(p). Solve 0*w**5 - v*w + 4*w**3 - 6 + 6 - 2*w**5 = 0.
-1, 0, 1
Let m(d) be the second derivative of -3*d**5/100 + d**4/10 - d**3/10 + 10*d. Factor m(l).
-3*l*(l - 1)**2/5
Let z = 31/60 + 3/20. Suppose -2/3 + 2/3*x**2 + z*x - 2/3*x**3 = 0. Calculate x.
-1, 1
Let y(z) be the third derivative of 0*z + 0*z**5 + z**2 + 1/120*z**6 + 0 - 1/210*z**7 + 0*z**4 + 0*z**3. Solve y(j) = 0.
0, 1
Factor 2/9*v**2 + 0 + 2/9*v - 2/9*v**3 - 2/9*v**4.
-2*v*(v - 1)*(v + 1)**2/9
Suppose -2*i = -0*i, -2*i = -h. Let b(w) be the first derivative of h*w**2 - 1 + 1/20*w**5 + 0*w**4 + 1/4*w - 1/6*w**3. Let b(q) = 0. Calculate q.
-1, 1
Let x(j) be the first derivative of -j**4 + 4*j**3 - 6*j**2 + 4*j - 1. Let x(b) = 0. What is b?
1
Let y = -34 + 34. Let r(f) be the first derivative of 2/3*f**2 - 2/15*f**5 + 2/3*f - 1/3*f**4 + 3 + y*f**3. Let r(d) = 0. What is d?
-1, 1
Factor -n**3 + 0*n**4 - 5*n**3 - n**4 - n**4.
-2*n**3*(n + 3)
Let s(j) be the second derivative of -1/6*j**4 + j**2 - 1/10*j**5 + 0 + 1/3*j**3 + j. Factor s(i).
-2*(i - 1)*(i + 1)**2
Let u = 3131 - 187853/60. Let m(r) be the third derivative of -7/12*r**4 + u*r**6 + 0*r + 11/30*r**5 - 3/35*r**7 - 2/3*r**3 - 3*r**2 + 0. What is x in m(x) = 0?
-1, -2/9, 1
What is q in -20*q + 38*q**3 - 40*q**2 - 11*q**4 - 24*q**4 + 5*q**3 + 52*q**3 = 0?
-2/7, 0, 1, 2
Suppose 2*x - q - q = 8, -3*q + 4 = 5*x. Factor 1 + 0 - 2*g**3 - 1 + 4*g**x.
-2*g**2*(g - 2)
Let f be 18/27 - (-6)/((-180)/14). Factor 0*m**3 + 0*m + 1/5*m**4 - f*m**2 + 0.
m**2*(m - 1)*(m + 1)/5
Let y(h) = -4*h**2 - 12*h - 2. Let i(s) = -s**2 - s - 1. Let p(z) = 6*i(z) - y(z). Factor p(r).
-2*(r - 2)*(r - 1)
Let v(w) be the third derivative of -w**8/2016 - w**7/630 + w**5/180 + w**4/144 + 3*w**2. Factor v(o).
-o*(o - 1)*(o + 1)**3/6
Let j be 140/80 - (-2)/8. Determine y, given that j - 4*y - 1/2*y**3 + 5/2*y**2 = 0.
1, 2
Let c = -27623/8 - -3461. Let b = 251/24 - c. What is n in -2/3 + b*n**2 + 5/3*n = 0?
-1, 2/7
Let r(g) be the second derivative of -g**6/360 + g**5/40 - g**4/12 - g**3/6 + 3*g. Let f(h) be the second derivative of r(h). Factor f(d).
-(d - 2)*(d - 1)
Let z(m) be the first derivative of 2 - 2/3*m**3 - 2*m + 2*m**2. Factor z(q).
-2*(q - 1)**2
Let w(q) be the third derivative of q**5/360 - q**4/72 + q**3/36 + 6*q**2. Factor w(y).
(y - 1)**2/6
Let j(w) be the first derivative of -14*w**6/15 + 48*w**5/25 + 4*w**4/5 - 56*w**3/15 + 6*w**2/5 + 8*w/5 + 9. Find o, given that j(o) = 0.
-1, -2/7, 1
Let n = 7 + -8. Let x = n + 3. Suppose -6/7*r**5 + 12/7*r**x - 2*r**4 - 4/7*r**3 + 10/7*r + 2/7 = 0. What is r?
-1, -1/3, 1
Let c = 30 - 179/6. Let z(l) be the second derivative of 0 + 0*l**4 - 1/4*l**2 + c*l**3 + 1/60*l**6 - 1/20*l**5 - 3*l. Factor z(p).
