 l.
-2/9, 0
Let i(y) be the third derivative of 0 - 1/90*y**5 + 1/36*y**4 + 0*y + 3*y**2 + 2/9*y**3. Factor i(f).
-2*(f - 2)*(f + 1)/3
Solve 4/5*u + 0 + 42/5*u**2 = 0 for u.
-2/21, 0
Let v(p) be the first derivative of -1 - 1/8*p**4 + 0*p + 1/24*p**6 + 0*p**3 - 1/20*p**5 + 0*p**2. Factor v(y).
y**3*(y - 2)*(y + 1)/4
Let s = 8/21 - -2/7. Factor 0*d - 2/3*d**3 + 0*d**2 + 0 - s*d**4.
-2*d**3*(d + 1)/3
Let b = 245 - 245. Factor b - 16/3*k**2 - 20/3*k**4 - 100/3*k**5 + 64/3*k**3 + 0*k.
-4*k**2*(k + 1)*(5*k - 2)**2/3
Let y = 15/7 + -61/35. Let r be 3 + 0 + (-13)/5. Let 0*x + r - y*x**2 = 0. What is x?
-1, 1
Let z(m) be the first derivative of 1/15*m**5 + 0*m**4 - 1/9*m**3 + 0*m**2 + 0*m - 3. Factor z(h).
h**2*(h - 1)*(h + 1)/3
Let v(z) be the first derivative of -2*z + 25/2*z**4 - 9*z**2 + 2 - 10*z**3. Determine f, given that v(f) = 0.
-1/5, 1
Let i(y) be the second derivative of -y**7/21 + 2*y**6/15 - y**4/3 + y**3/3 - 8*y. Factor i(q).
-2*q*(q - 1)**3*(q + 1)
Let i(u) be the first derivative of -3*u**4/8 - 9*u**3/2 - 81*u**2/4 - 81*u/2 + 38. Determine w so that i(w) = 0.
-3
Suppose -13 = -0*a - 3*a - h, -4*a + h + 15 = 0. Let i be (-19)/(-21) - a/12. Factor i - 2/7*k**2 + 2/7*k.
-2*(k - 2)*(k + 1)/7
Let y(s) = 2*s**2 - 7*s - 8. Let k be y(7). Let w = k + -122/3. Factor j - w - j**2 + 1/3*j**3.
(j - 1)**3/3
Let m(g) = -2*g + 22. Let z be m(10). Factor -1/4*o - 3/4*o**3 - 3/4*o**z - 1/4*o**4 + 0.
-o*(o + 1)**3/4
Suppose 0 = -2*d + d + 2. Factor 6 + 2*t**2 + d*t**2 - 9*t - t**2.
3*(t - 2)*(t - 1)
Factor 0 + 2/7*g**3 + 2/7*g + 4/7*g**2.
2*g*(g + 1)**2/7
Find s such that 4/7*s**3 + 4/7*s**4 - 2/7*s + 4/7 - 2/7*s**5 - 8/7*s**2 = 0.
-1, 1, 2
Let q(f) = -f**4 - f**3 + f**2 + f. Let k(c) = 3*c**4 - c**3 - c**2 + c - 2. Let i(w) = 5*k(w) + 10*q(w). Suppose i(v) = 0. Calculate v.
-1, 1, 2
Suppose 0 = -3*i + 5*i - 12. Suppose -c = 5*r - 5, 2*c - 4 - i = -5*r. Let -1/5*h**2 + 0*h + r + 1/5*h**3 = 0. Calculate h.
0, 1
Let s(b) be the first derivative of 5*b**6/3 + 4*b**5/5 - 5*b**4 - 8*b**3/3 + 5*b**2 + 4*b - 39. Find v such that s(v) = 0.
-1, -2/5, 1
Suppose -4 = -4*g - 0. Let x(d) be the first derivative of 1/3*d**3 + 1/4*d - g + 5/8*d**2. Let x(r) = 0. Calculate r.
-1, -1/4
Let p(s) be the third derivative of s**8/2016 - s**7/252 - s**6/90 + 11*s**5/90 + 2*s**4/9 - 16*s**3/9 + 10*s**2 + s. Let p(c) = 0. What is c?
-2, 1, 4
Solve 6*p**3 - 13*p**2 - 16*p - 16 + 28*p**2 - 2*p**3 - 11*p**2 = 0 for p.
-2, -1, 2
Let c(d) = 3*d + 1. Let f be c(-1). Let y be -1 + (f - 17/(-5)). Factor 0 - y*o**3 + 2/5*o**4 + 0*o**2 + 0*o.
2*o**3*(o - 1)/5
Let o = -24 + 289/12. Let g(j) be the third derivative of -j**2 + o*j**5 + 0*j + 1/120*j**6 + 1/3*j**4 + 2/3*j**3 + 0. Find f, given that g(f) = 0.
-2, -1
Let g(s) be the third derivative of s**5/60 - 17*s**2. Factor g(r).
r**2
Let z(c) be the second derivative of c**7/336 - c**6/240 - c**5/80 + c**4/48 + c**3/48 - c**2/16 - 9*c + 2. Factor z(a).
(a - 1)**3*(a + 1)**2/8
What is s in 1/2*s + 0 - 1/6*s**2 = 0?
0, 3
Let a(l) be the second derivative of l**8/6720 - l**7/420 + l**6/60 - l**5/15 - 5*l**4/12 - 5*l. Let g(t) be the third derivative of a(t). Factor g(d).
(d - 2)**3
Let z(v) be the first derivative of 0*v + 3*v**2 + 153/4*v**4 - 6 - 19*v**3 - 24/5*v**5 - 40*v**6. Find x, given that z(x) = 0.
-1, 0, 1/4, 2/5
Let z(y) be the first derivative of 0*y**3 + 0*y**2 + 1/5*y**5 + 0*y + 1/8*y**4 + 4. Solve z(g) = 0 for g.
-1/2, 0
Let q(x) be the first derivative of -1/2*x**3 + 0*x - 3/4*x**2 + 3/8*x**4 - 2 + 3/10*x**5. Solve q(i) = 0.
-1, 0, 1
Let z(i) = -i**2 + 17*i. Let d be z(17). Factor 2/3*t**4 + 0 + 8/9*t**3 + 2/9*t**2 + d*t.
2*t**2*(t + 1)*(3*t + 1)/9
Solve 31*b + b**3 - 14*b - 20*b + 2*b**2 = 0 for b.
-3, 0, 1
Find g, given that 12*g**2 + 6*g**3 - 8*g**3 - 2*g**3 - 8*g = 0.
0, 1, 2
Suppose -3*g + 23 = -25. Solve -4*v + 2*v**5 - 6*v**4 + g*v**4 + 11*v**2 + 3*v**2 - 4*v**5 - 18*v**3 = 0.
0, 1, 2
Factor -17*m + 2*m + 7*m + 3*m**2 - 4*m + 12.
3*(m - 2)**2
Suppose -6*c + 25 = -c. Solve -l**3 - 8*l**2 + 4*l**3 - l + 5*l**4 - 6*l + 3*l - 2*l**c = 0.
-1, -1/2, 0, 2
Suppose -5*c = -0*c - 5. Let v be c/(-2)*(1 + -5). Factor 2 + 2*b**v + 3*b + 6*b - 5*b.
2*(b + 1)**2
Let n(c) = c**2. Let w(a) = -a**3 - 2*a**2 - 4. Let f(o) = 10*n(o) + 2*w(o). Let f(j) = 0. Calculate j.
-1, 2
Let m(u) be the third derivative of -u**6/120 + u**4/24 + 5*u**2. Factor m(x).
-x*(x - 1)*(x + 1)
Let u(h) be the third derivative of -h**6/300 + h**5/150 + h**2. Factor u(f).
-2*f**2*(f - 1)/5
Let s = -18 + 23. Factor -q**s - q**5 + 3*q**5.
q**5
Let l(f) be the third derivative of f**9/45360 - f**7/7560 + f**4/12 - 7*f**2. Let b(c) be the second derivative of l(c). Factor b(y).
y**2*(y - 1)*(y + 1)/3
Let v(o) be the third derivative of 1/525*o**7 + 0 - 1/150*o**5 + o**2 + 0*o + 0*o**3 + 1/60*o**4 - 1/300*o**6. Suppose v(d) = 0. Calculate d.
-1, 0, 1
Let q(x) be the third derivative of -x**7/3780 - x**3/3 + 4*x**2. Let o(p) be the first derivative of q(p). Factor o(v).
-2*v**3/9
Factor -2/3*r**5 - 4/3*r + 0 - 14/3*r**2 - 10/3*r**4 - 6*r**3.
-2*r*(r + 1)**3*(r + 2)/3
Let w(y) be the third derivative of -y**8/84 - 4*y**7/105 - y**6/30 + 8*y**2. Determine b so that w(b) = 0.
-1, 0
Let f(n) be the third derivative of -3*n**2 + 0*n + 1/315*n**7 + 0*n**4 + 1/90*n**5 + 1/90*n**6 + 0 + 0*n**3. Factor f(w).
2*w**2*(w + 1)**2/3
Let s(l) be the second derivative of -2*l**6/3 + 13*l**5/4 + 65*l**4/12 - 10*l**3/3 - 18*l. Determine o, given that s(o) = 0.
-1, 0, 1/4, 4
Suppose -11*r + 28 = -4*r. Let h(j) be the third derivative of 1/105*j**7 + 0*j - j**2 + 0 + 0*j**5 + 1/30*j**6 + 0*j**r + 0*j**3. Factor h(i).
2*i**3*(i + 2)
Let n(f) be the second derivative of 1/21*f**3 + 1/42*f**4 - 2/7*f**2 + 0 + 3*f. Factor n(m).
2*(m - 1)*(m + 2)/7
Let m = 41261/27 - 277049/189. Let q = -548/9 + m. Factor 0 + 4/7*x - q*x**2.
-2*x*(5*x - 2)/7
Let w(r) be the first derivative of r**6/540 - r**5/180 - r**4/18 - 4*r**3/3 - 4. Let k(a) be the third derivative of w(a). Factor k(q).
2*(q - 2)*(q + 1)/3
Let w be (6/4)/((-6)/40). Let x = 52/5 + w. Determine u, given that 6/5*u + x + 2/5*u**3 + 6/5*u**2 = 0.
-1
Let p(o) = -2*o**3 + 14*o + 4. Let u(v) = 4*v**3 + v**2 - 28*v - 7. Let m(l) = 9*p(l) + 4*u(l). What is h in m(h) = 0?
-1, 4
Let v(p) = p**3 - 7*p**2 + 3. Let n be v(7). Suppose 7*m - 9 = 4*m + j, 2*m - 17 = -3*j. Let -6*o**n + 11*o + 4 - o**2 - o**2 - 5*o - 2*o**m = 0. What is o?
-2, -1, 1
Let v(f) be the first derivative of 2*f**5/5 + f**4/2 - 4*f**3 - 4*f**2 + 16*f - 5. Factor v(o).
2*(o - 2)*(o - 1)*(o + 2)**2
Suppose -4*p**4 - 28*p**2 + 28*p**2 - p**3 = 0. What is p?
-1/4, 0
Factor 0*a + 8/9*a**2 + 0 + 16/9*a**3 + 10/9*a**4 + 2/9*a**5.
2*a**2*(a + 1)*(a + 2)**2/9
Let a(y) be the first derivative of y**5/30 + y**4/24 - y**3/9 + 2. Factor a(d).
d**2*(d - 1)*(d + 2)/6
Let x = 142 + -138. Factor 0*w + 3/2*w**x + 0 + 0*w**2 + 0*w**3.
3*w**4/2
Let f(l) be the second derivative of 0 + l + 1/12*l**4 + 0*l**2 - 1/6*l**3. Factor f(m).
m*(m - 1)
Let b(p) be the first derivative of 1 - p**2 + 1/30*p**5 + 0*p**3 - 1/6*p**4 + 0*p. Let r(t) be the second derivative of b(t). Solve r(q) = 0.
0, 2
Suppose 0 = l - 6*l + 10. Let m(h) be the first derivative of 0*h + 0*h**l - 2 + 1/10*h**5 + 0*h**3 + 0*h**4. Solve m(p) = 0.
0
Let r(q) be the first derivative of -2*q**3 - q**2 + 7. Let d(w) = -7*w**2 - 2*w. Let l(f) = -5*d(f) + 6*r(f). Factor l(j).
-j*(j + 2)
Factor 12*n - 11*n**2 + 4*n**3 - 9/2 - 1/2*n**4.
-(n - 3)**2*(n - 1)**2/2
Factor -1/6*b**2 + 4/3*b - 7/6.
-(b - 7)*(b - 1)/6
Let j(u) be the first derivative of -u**6/40 - u**5/10 + u**4/8 + u**3 - 3*u**2/2 - 3. Let h(c) be the second derivative of j(c). Suppose h(b) = 0. Calculate b.
-2, -1, 1
Let k(m) = 3*m - 3. Let w(y) = y**4 - y**2 - y + 1. Let u(d) = -k(d) - 3*w(d). Suppose u(l) = 0. What is l?
-1, 0, 1
Let 2*w**5 + 2*w**2 - w**5 - w**3 + 14*w**4 + 15*w**4 - 31*w**4 = 0. What is w?
-1, 0, 1, 2
Let f be -1*2*(-10)/4. Factor j**f + 2 - 5*j**3 - 2*j**4 - 7*j + 2*j**2 + 3*j**3 + 6*j**2.
(j - 1)**4*(j + 2)
Solve -24 + 12*y - 3/2*y**2 = 0.
4
Suppose -2*k = -7*k. Let d(z) be the second derivative of -1/30*z**6 + 0*z**2 - 3*z + 0*z**3 + k*z**4 + 0 - 1/20*z**5. Factor d(t).
-t**3*(t + 1)
Let v = 1 + -1. Let f(q) be the second derivative of 0 + 0*q**2 - 1/