-1, 0, 4
Let d(x) be the third derivative of 0*x**4 + 1/135*x**7 + 0*x - x**2 + 1/60*x**6 + 0 + 1/135*x**5 + 0*x**3. Solve d(l) = 0.
-1, -2/7, 0
Let p(i) be the third derivative of -i**6/320 - i**5/160 - 7*i**2. Factor p(w).
-3*w**2*(w + 1)/8
Suppose 3*c = -c + 16. Factor 1/2 - 1/2*u**c + 0*u**2 - u + u**3.
-(u - 1)**3*(u + 1)/2
Let v(x) be the first derivative of 14/25*x**5 + 0*x**2 - 4/15*x**3 + 1 + 0*x - 1/2*x**4. Factor v(b).
2*b**2*(b - 1)*(7*b + 2)/5
Let p(g) = -4*g + 2*g + 0*g - 4. Let f be p(-4). Let -3*t**3 - 3*t**5 + 2*t**5 - 3*t**3 - 4*t**2 - f*t**4 - t = 0. Calculate t.
-1, 0
Factor 3/5*w - 6/5*w**2 - 3/5*w**5 + 0*w**3 + 6/5*w**4 + 0.
-3*w*(w - 1)**3*(w + 1)/5
Let y(x) = x**2 - x - 1. Let f(z) = 6*z**2 - 6*z - 5. Suppose 5*k - 1 = 2*c, -5*c = -k - 4 - 5. Let i(t) = c*f(t) - 10*y(t). Factor i(q).
2*q*(q - 1)
Suppose -3*u + 2*y = -y + 3, -4*u + 5 = 5*y. Suppose -2*j + u*j = 0. Factor -3/5*t**4 + 0*t**3 + 3/5*t**2 + j + 0*t.
-3*t**2*(t - 1)*(t + 1)/5
Let p = -6061/5 + 1215. Let -p*t**4 - 4/5*t**3 + 0*t + 0 + 0*t**2 = 0. What is t?
-2/7, 0
Let o(c) = 7*c**3 - 21*c**2 - 25*c + 13. Let u(f) = -4*f**3 + 10*f**2 + 12*f - 6. Let t(a) = -2*o(a) - 5*u(a). Factor t(z).
2*(z - 2)*(z + 1)*(3*z - 1)
Let y(w) be the first derivative of -3*w**5/20 + w**4 - 5*w**3/2 + 3*w**2 - 5*w - 3. Let v(q) be the first derivative of y(q). Factor v(i).
-3*(i - 2)*(i - 1)**2
Let z(k) = -k**2 + 13*k + 2. Let r be z(13). Let u(c) be the first derivative of -4/3*c**3 - c**r + 1 + 4*c + 1/2*c**4. Suppose u(h) = 0. What is h?
-1, 1, 2
Let h(g) be the third derivative of 5*g**8/48 - 3*g**7/14 + g**6/12 - 15*g**2. Suppose h(c) = 0. What is c?
0, 2/7, 1
Let p(m) = m + 12. Let g be p(-9). Let i = 6 - g. Factor 0*b**2 - 2 - b - 18*b**4 + 24*b**i - 7*b + 4*b**2 + 0.
-2*(b - 1)**2*(3*b + 1)**2
Let k = -104/5 - -421/20. Factor 1/4*b**4 - 1/4*b**2 - k*b**3 + 1/4*b + 0.
b*(b - 1)**2*(b + 1)/4
Let b be (((-3999)/15)/(-1))/(-11). Let s = b + 123/5. Factor -24/11*m**3 - 18/11*m**2 + 0 - 10/11*m**4 - s*m.
-2*m*(m + 1)**2*(5*m + 2)/11
Suppose -5*m + 10 = -0*m. Factor 2*c**5 + 0*c + 6*c**3 - c**2 + c - 3*c**m - 4*c**4 - c**5.
c*(c - 1)**4
Factor -78*b - b**2 + 153*b - 77*b - 12 + 3*b**2.
2*(b - 3)*(b + 2)
Let c(g) be the third derivative of g**8/20160 - g**7/5040 + g**5/20 + 7*g**2. Let y(q) be the third derivative of c(q). Let y(s) = 0. Calculate s.
0, 1
Let r(n) = n**3 + 4*n**2 + 13*n - 5. Let b(f) = -2*f**2 - 6*f + 2. Let i(z) = 5*b(z) + 2*r(z). Factor i(y).
2*y*(y - 2)*(y + 1)
Let v(c) be the first derivative of 2/3*c**2 + 2/9*c**3 + 0*c - 3. Factor v(z).
2*z*(z + 2)/3
Let q(p) = p**5 - 2*p**4 - 4*p**3 - 2*p**2 + p + 4. Let u(f) = f**5 - 3*f**4 - 4*f**3 - 2*f**2 + 5. Let j(t) = 6*q(t) - 4*u(t). Determine y so that j(y) = 0.
-1, 1, 2
Let f(u) be the third derivative of 3*u**7/280 - u**6/40 + u**5/80 - 12*u**2. Determine o, given that f(o) = 0.
0, 1/3, 1
Let r = -3 + 15. Suppose 3*n - r = -n. Factor 2*u - 5*u - 1 + 2*u + u**2 + u**n.
(u - 1)*(u + 1)**2
Let i(y) be the third derivative of -y**7/630 - y**6/360 + y**5/60 + y**4/72 - y**3/9 + 9*y**2. Factor i(g).
-(g - 1)**2*(g + 1)*(g + 2)/3
Let n(j) be the second derivative of j**7/945 - j**5/135 + j**3/27 - 3*j**2/2 + 3*j. Let x(t) be the first derivative of n(t). Factor x(k).
2*(k - 1)**2*(k + 1)**2/9
Let w(f) be the first derivative of -2*f - 1/3*f**3 - 6 - 3/2*f**2. Let w(l) = 0. What is l?
-2, -1
Let p(b) = 3*b + 5. Let c be p(-5). Let y be ((-2)/5)/(2/c). Suppose 0 - 2/7*o**y - 2/7*o = 0. Calculate o.
-1, 0
Let i(j) = 5*j + 95. Let g be i(-19). Factor -r**2 + g - r + 7/4*r**3 - 1/2*r**4.
-r*(r - 2)**2*(2*r + 1)/4
Let m(b) = -2*b**4 + 4*b**3 - 10*b. Let o(u) = -4*u**4 + 7*u**3 - 21*u. Let h(k) = 10*m(k) - 4*o(k). What is p in h(p) = 0?
-1, 0, 2
Let j(c) be the third derivative of -c**7/105 + c**5/30 - 9*c**2. Factor j(q).
-2*q**2*(q - 1)*(q + 1)
Let h = -3695 + 33295/9. Factor 4*a**3 + h*a**2 + 16/9*a + 2/9*a**5 + 14/9*a**4 + 0.
2*a*(a + 1)*(a + 2)**3/9
Suppose 11 - 10 = z. Let f(b) be the first derivative of 1/3*b**2 + 4/9*b + z + 2/27*b**3. Factor f(y).
2*(y + 1)*(y + 2)/9
Let z(v) = v**2 - v + 2. Let r = 2 + -2. Let i be z(r). Let -2*c + 5*c**4 + c + 5*c**3 - 2*c**4 - 4*c**5 - 3*c**i = 0. Calculate c.
-1, -1/4, 0, 1
Suppose -a = 2*o - 5*o + 2, -o = 5*a + 10. Let c(r) be the second derivative of 0 - 1/6*r**4 + o*r**5 + 0*r**2 + r + 0*r**3 + 1/15*r**6. Factor c(p).
2*p**2*(p - 1)*(p + 1)
Suppose 4 + 3 = l. Suppose 0 = -l*w + 2*w + 10. Solve 2*m**3 - w*m**2 + 3*m + 0*m - 1 - m**4 - 4*m + 4*m**2 - m**5 = 0.
-1, 1
Let p(a) be the second derivative of -15*a**7/28 - 11*a**6/5 + a**5 + 13*a**4/4 - 43*a**3/12 + 3*a**2/2 - 7*a. Determine w so that p(w) = 0.
-3, -1, 1/3, 2/5
Let v(j) = -j + 10. Let u be v(5). Suppose 16*b**4 - 4*b**3 + u*b**4 - 2*b**3 = 0. What is b?
0, 2/7
Let o(j) = -3*j + 9. Let h be o(4). Let l be 0/h*(-4)/(-4). Factor l + 1/5*v**3 + 1/5*v + 2/5*v**2.
v*(v + 1)**2/5
Let o(f) = f**2 + f. Let w(c) = -5*c**2 + 10*c + 15. Let z(g) = 10*o(g) + w(g). Solve z(k) = 0.
-3, -1
Let t be (6 - 7)*(-10)/2. Suppose t = 2*z + 1. Factor 4*k**2 + 0 + z - 3*k + k**3 + 9*k - k.
(k + 1)**2*(k + 2)
Suppose 0 = z + 5*i - 1 - 26, -z = 4*i - 22. Solve 4*t**2 - 4*t**2 + 4*t**3 + 5*t**2 - 3 - z*t = 0.
-1, 3/4
Let n(u) be the second derivative of -2*u + 0 + 1/3*u**3 - 1/3*u**4 - 1/8*u**2. Factor n(o).
-(4*o - 1)**2/4
Factor 18*g**5 - 21*g**5 + 6*g**4 - 3*g**3 + 0*g**3.
-3*g**3*(g - 1)**2
Let i(v) be the third derivative of 5/108*v**4 + 7/270*v**5 - 2/27*v**3 + 0*v + 5*v**2 + 0. Factor i(m).
2*(m + 1)*(7*m - 2)/9
Let w(b) = -5*b**3 + b - 4. Let m = 3 + 0. Let n(r) = 9*r**m + 0*r + 7 + 3*r - 5*r. Let u(s) = 4*n(s) + 7*w(s). Determine z, given that u(z) = 0.
-1, 0, 1
Suppose 2*w = 3*m + 2, w + 4*w + 3*m = 5. Let b = 1 + w. Factor 3*y + 2*y**b - 5*y - 4*y**2.
-2*y*(y + 1)
Let o(x) be the third derivative of -x**5/75 + x**4/15 - 2*x**3/15 + 6*x**2. Suppose o(s) = 0. Calculate s.
1
Factor -2/11 - 10/11*l**4 + 10/11*l + 2/11*l**5 + 20/11*l**3 - 20/11*l**2.
2*(l - 1)**5/11
Let i(v) = 11*v**3 + 40*v**2 - 18*v - 2. Let c(h) = -10*h**3 - 40*h**2 + 17*h + 3. Let k(w) = 5*c(w) + 6*i(w). Solve k(g) = 0.
-3, 1/4
Let a = -2/3 - -1. Let s be 2/8 + 2/24. Factor 0*p - a*p**2 + s.
-(p - 1)*(p + 1)/3
Let m = -177/5 + 36. Factor 0*r - m*r**4 - 1/5*r**3 + 0 + 2/5*r**2.
-r**2*(r + 1)*(3*r - 2)/5
Let i = -7 + 7. Find w, given that -2/5*w**4 + 2/5*w**2 + 2/5*w + i - 2/5*w**3 = 0.
-1, 0, 1
Let l(a) = -1. Let n(y) = 10 + 10*y + 0*y - 4*y**2 + 2*y. Let j(s) = 10*l(s) + n(s). Let j(x) = 0. What is x?
0, 3
Determine g, given that -12 + 18*g - 24*g**2 + 4 + 21*g**2 - 7 = 0.
1, 5
Suppose -6 = 4*j - 18. Factor -2*b - b**3 + 4*b**2 + 3*b**3 - 4*b**j.
-2*b*(b - 1)**2
Let u(m) be the third derivative of m**8/50400 + m**7/3150 + m**6/450 + m**5/60 + m**2. Let y(s) be the third derivative of u(s). Factor y(j).
2*(j + 2)**2/5
Let p(a) be the third derivative of a**10/68040 - a**9/68040 - a**8/30240 + a**4/8 - 4*a**2. Let r(w) be the second derivative of p(w). Factor r(z).
2*z**3*(z - 1)*(2*z + 1)/9
Suppose 3 = 3*q - 3. Factor 2*y - 6*y**2 - 2*y**2 + 6*y**q.
-2*y*(y - 1)
Let l(v) be the second derivative of v**4/3 - 4*v**3/3 + 17*v. What is w in l(w) = 0?
0, 2
Let w = 9 + -13. Let q = w - -6. Factor 2*z + q*z - 3*z - 2*z**3 + z.
-2*z*(z - 1)*(z + 1)
Let k(i) be the first derivative of i**3/3 - i**2/2 - 2*i - 10. Determine p so that k(p) = 0.
-1, 2
Factor -3/2*h**3 - 9/2*h**2 + 3/2*h + 9/2.
-3*(h - 1)*(h + 1)*(h + 3)/2
Factor -6 - 13*y - 17*y + 39*y - 3*y**2.
-3*(y - 2)*(y - 1)
Let n(f) be the first derivative of 4*f**3/39 + 3*f**2/13 + 2*f/13 - 40. Factor n(t).
2*(t + 1)*(2*t + 1)/13
Let i(z) be the first derivative of -2/3*z + z**2 - 2/3*z**3 + 1/6*z**4 - 3. Factor i(g).
2*(g - 1)**3/3
Determine w, given that 8 + 8*w**3 - 2*w**3 - 12*w**2 - 2*w**3 - 4*w + 4 = 0.
-1, 1, 3
Let n(h) = h + 1. Let i be n(5). Suppose 0 = i*t - t. Factor 24*w**2 + t - w + 16*w**3 + 10*w + 1.
(w + 1)*(4*w + 1)**2
Let i(g) = 20*g**2 + 41*g + 12. Let u(f) = -f**2 - f. Let w(y) = -i(y) - 5*u(y). Factor w(v).
-3*(v + 2)*(5*v + 2)
Let s = 56/3 - 18. Let w be (-3)/((-81)/6) - 40/(-36). Solve -w + 2*y - s*y**2 = 0.
1, 2
Let o(t) be the first derivative of -t**6/30 + 2*t**5/25 - 2*t**3/15 + t**2/10 - 5. Factor