ind x, given that f(x) = 0.
0, 2
Let x(t) be the third derivative of 1/15*t**5 + 0 + 1/3*t**4 + t**2 + 1/42*t**8 + 0*t - 1/3*t**3 - 2/15*t**6 - 1/105*t**7. Solve x(u) = 0.
-1, 1/4, 1
Suppose 11 = -6*c + 35. Let h(i) be the third derivative of 4/27*i**3 + 0 + 1/27*i**c - 2*i**2 + 1/270*i**5 + 0*i. Factor h(b).
2*(b + 2)**2/9
Let z(k) be the second derivative of -k**7/24 + 29*k**6/60 - 71*k**5/40 + 37*k**4/12 - 67*k**3/24 + 5*k**2/4 + 8*k - 4. Determine v, given that z(v) = 0.
2/7, 1, 5
Let x be 1/6 - (1 + (-3)/2). Suppose -k + 5*i - i = 18, 5*k + 15 = 5*i. Factor x*v**4 + 0*v - 2/3*v**5 - 2/3*v**k + 2/3*v**3 + 0.
-2*v**2*(v - 1)**2*(v + 1)/3
Let i(h) = -h**2 - h. Suppose -5 = 5*u - 10. Let x(o) = o**3 + 3*o**2 + 2*o. Let n(k) = u*x(k) + 4*i(k). Factor n(v).
v*(v - 2)*(v + 1)
Suppose -5*k + 5*p - 23 - 2 = 0, -p = 4*k + 5. Let m be (k/6)/((-1)/6). Factor -2*t**2 - m - 6*t**3 + 6 + 0*t**4 + 6*t - 2*t**4.
-2*(t - 1)*(t + 1)**2*(t + 2)
Let k = -110 - -113. Let m be (0 - 2) + (-36)/(-15). Let m - 2/5*b**k - 2/5*b**2 + 2/5*b = 0. What is b?
-1, 1
Let v(q) = -q**3 - 13*q**2 + 10*q - 54. Let m be v(-14). Factor -10/3*j**2 - m - 16/3*j.
-2*(j + 1)*(5*j + 3)/3
Let a be 84/18*9/4. Let y(x) = -3*x + 17. Let d be y(5). Factor 3 - a*p + 15/2*p**d.
3*(p - 1)*(5*p - 2)/2
Suppose -4*q - 3*f = 1, -5*q = -4*f - 7 - 15. Suppose 3*i = -q*i + 10. Find g, given that -2*g**4 - 3*g**5 + g**5 + g**5 + i*g**2 + g = 0.
-1, 0, 1
Let f(j) be the first derivative of 5*j**3/3 + 25*j**2/2 + 30*j - 11. Factor f(v).
5*(v + 2)*(v + 3)
Let u(g) be the second derivative of -g**6/25 - g**5/50 + g**4/6 + g**3/15 - 2*g**2/5 - 6*g. Let u(l) = 0. What is l?
-1, 2/3, 1
Factor -1/3*m**5 + 0 + 0*m**3 + 0*m**2 + 0*m - m**4.
-m**4*(m + 3)/3
Factor -21*v**2 + 5*v**3 + 0*v**3 - 343 + 147*v - 4*v**3.
(v - 7)**3
Let o(m) be the third derivative of 3*m**6/40 + 7*m**5/20 + 5*m**4/8 + m**3/2 - 4*m**2. Factor o(h).
3*(h + 1)**2*(3*h + 1)
Let h(a) = a - 2. Let v be h(7). Suppose 3*r = 5*l - 24, -r + 1 = 3*l - v. Factor 0*z - 3/2*z**4 + 3/2*z**l - 1/2*z**2 + 1/2*z**5 + 0.
z**2*(z - 1)**3/2
Let d(w) = 19*w**3 + 5*w**2 + 11*w - 9. Let l(i) = 9*i**3 + 2*i**2 + 5*i - 4. Let t(h) = 6*d(h) - 13*l(h). Determine b, given that t(b) = 0.
-2/3, 1
Let m(s) be the first derivative of -s**3 + 2*s**2 + 17. Factor m(a).
-a*(3*a - 4)
Let x(f) be the second derivative of 5*f - f**3 + 3/2*f**2 + 0 + 1/4*f**4. Find l such that x(l) = 0.
1
Solve -10*r**4 + 8*r**4 + 6*r**3 + 2*r - 3*r**2 - 3*r**2 = 0 for r.
0, 1
Let g(b) be the first derivative of 7*b**6/15 - 3*b**5/10 - 4*b**4/7 - 4*b**3/21 + 3*b - 2. Let m(q) be the first derivative of g(q). Factor m(t).
2*t*(t - 1)*(7*t + 2)**2/7
Let d(p) = p**2 + 14*p + 15. Let a be d(-13). Determine n so that 1/2*n**3 - 1/2*n**a + 0*n + 0 = 0.
0, 1
Let b = -56 + 38. Let c be b/(-5) + (-2)/(-5). Find y, given that 83/4*y**3 + 21/4*y**5 - 33/4*y**2 - 71/4*y**c - y + 1 = 0.
-2/7, 2/3, 1
Let s(u) = u**3 + 3*u**2 - 6*u - 4. Let x be s(-4). Let q(m) be the first derivative of 5/2*m**x + 1/6*m**6 + m - 2 + 5/2*m**2 + m**5 + 10/3*m**3. Factor q(p).
(p + 1)**5
Let f(z) be the first derivative of 0*z**2 - z - 1 + 2/9*z**3 + 1/6*z**4 + 1/30*z**5. Let t(d) be the first derivative of f(d). Let t(r) = 0. Calculate r.
-2, -1, 0
Let c(t) = t**3 - 9*t**2 - 33*t - 27. Let b(w) = 7*w**3 - 53*w**2 - 197*w - 163. Let p(v) = -6*b(v) + 39*c(v). Factor p(i).
-3*(i + 1)*(i + 5)**2
Let g be 1 + (-3 - 2/(-1)). Let h(v) = 2*v + 2. Let b be h(g). Find r such that 1/2*r - 1/2*r**b + 0 = 0.
0, 1
Let y(w) be the first derivative of 3*w**4/2 - 4*w**3/3 - 3*w**2 + 8*w - 2. Let m(l) = 5*l**3 - 4*l**2 - 5*l + 7. Let h(t) = -4*m(t) + 3*y(t). Factor h(d).
-2*(d - 2)*(d - 1)*(d + 1)
Let j(u) be the third derivative of -1/120*u**6 + 0 + 0*u**3 + 1/24*u**4 - 1/105*u**7 + 0*u + 2*u**2 + 1/30*u**5. Factor j(t).
-t*(t - 1)*(t + 1)*(2*t + 1)
Let k(a) be the third derivative of a**5/12 - 5*a**4/24 - 10*a**2. Find v, given that k(v) = 0.
0, 1
Suppose x**2 + 856*x - 3*x**2 - 911*x - 3*x**2 = 0. Calculate x.
-11, 0
Let i(p) be the second derivative of p**7/10080 - p**4/2 + 4*p. Let f(a) be the third derivative of i(a). Factor f(y).
y**2/4
Let c = -115 + 346/3. Let s(d) be the first derivative of d**2 + 0*d - 1 + c*d**3. Let s(q) = 0. Calculate q.
-2, 0
Let u(o) = o**2 + 5*o + 7. Let x be u(-5). Let c(n) = 4*n**3 - 4*n**2 + 4*n - 6. Let d(i) = -5*i**3 + 5*i**2 - 4*i + 7. Let g(t) = x*c(t) + 6*d(t). Factor g(z).
-2*z*(z - 2)*(z + 1)
Let j(a) = a**3 + 5*a**2 - 5*a + 3. Let m be j(-6). Let t be (m/2)/((-3)/4). Let 4*y + 7*y**3 + 5*y**2 + 4*y**2 - t*y = 0. Calculate y.
-1, -2/7, 0
Factor 4/19*m**4 + 0*m**3 + 0*m - 2/19*m**5 + 0 + 0*m**2.
-2*m**4*(m - 2)/19
Let n(u) be the first derivative of -u**3/3 + 5*u**2 - 2. Let k be n(8). Find i such that -36*i**4 - k*i**3 - i**2 + 2*i - 26*i**5 + 5*i**2 + 8*i**5 = 0.
-1, -1/3, 0, 1/3
Let o(k) = -7*k**3 - 5*k**2 + 2*k + 5. Let r(w) = -3*w**3 - 2*w**2 + w + 2. Let n = -11 + 13. Let f be (2/4)/((-2)/20). Let l(g) = f*r(g) + n*o(g). Factor l(m).
m*(m - 1)*(m + 1)
Let z(n) be the third derivative of 0*n**6 + 0*n**4 + 0*n**3 - 2/735*n**7 + 0*n - 1/168*n**8 - 3*n**2 + 0*n**5 + 0. Factor z(s).
-2*s**4*(7*s + 2)/7
Let g(v) be the second derivative of -v**7/42 + v**5/10 - v**3/6 - 6*v. Factor g(x).
-x*(x - 1)**2*(x + 1)**2
Let s(f) be the first derivative of 2*f**7/105 - 2*f**5/15 + 2*f**3/3 - 5*f**2/2 + 5. Let c(m) be the second derivative of s(m). Factor c(x).
4*(x - 1)**2*(x + 1)**2
Suppose -2*h - 5*u = 3, u = -h + 3*u + 12. Determine r so that -4*r**3 + 5*r - 5*r + 14*r**2 - 4*r - h*r**3 = 0.
0, 2/5, 1
Let g(h) be the first derivative of -h**7/168 - h**6/120 - h - 3. Let s(m) be the first derivative of g(m). Determine c so that s(c) = 0.
-1, 0
Let -1 - 1/4*r**2 + 5/4*r = 0. Calculate r.
1, 4
Factor 2/3*a + 2*a**3 + 0 + 2/3*a**4 + 2*a**2.
2*a*(a + 1)**3/3
Let u = -9/4 - -85/36. Let o(p) be the first derivative of 1/2*p**2 - 2/3*p - u*p**3 + 1. Factor o(h).
-(h - 2)*(h - 1)/3
Let h(b) be the first derivative of 0*b - 4/5*b**5 - 3 + 0*b**3 + 0*b**2 + b**4. Determine p, given that h(p) = 0.
0, 1
Factor -49/4*n**3 + 1 + 77/4*n**2 - 8*n.
-(n - 1)*(7*n - 2)**2/4
Let b(u) be the second derivative of u**5/20 - u**4/4 + 5*u**2 - 7*u. Let t(k) be the first derivative of b(k). Solve t(i) = 0 for i.
0, 2
Factor 2/3*y**3 - 16/3 + 8*y - 4*y**2.
2*(y - 2)**3/3
Let r(s) = 5*s**3 - 25*s**2 + 85*s - 45. Let z(d) = -d**2 - d. Let t(h) = r(h) + 10*z(h). Factor t(b).
5*(b - 3)**2*(b - 1)
Let h(z) be the first derivative of 6*z + 3/4*z**4 + 0*z**3 - 4 - 9/2*z**2. Find t, given that h(t) = 0.
-2, 1
Let m(g) be the first derivative of 0*g - 1/2*g**4 + g**2 - 2/3*g**3 + 2/5*g**5 - 4. Factor m(v).
2*v*(v - 1)**2*(v + 1)
Let q(u) be the second derivative of -u**5/10 + u**3/3 - 28*u. Factor q(p).
-2*p*(p - 1)*(p + 1)
Let s(p) be the first derivative of p**6/2 - 21*p**5/5 + 21*p**4/4 + 23*p**3 - 12*p**2 - 48*p + 44. Determine z so that s(z) = 0.
-1, 1, 4
Let t be (-3934)/(-462) - (-2)/(-11). Let p = -8 + t. Determine m so that -2/3*m**2 + 2/3*m**4 + 0 + p*m**5 - 1/3*m**3 + 0*m = 0.
-2, -1, 0, 1
Suppose u = 4*r + 22, 4*u - 5 = r + 8. Factor 4*g - 3*g - 1 + g**3 - 2*g**3 + g**u + 0.
-(g - 1)**2*(g + 1)
Suppose 6*l - 67 = -o + l, -4*o - 3*l = -285. Suppose -3*z - z = -o. Find s such that -z*s**3 - 18*s**4 + s**2 + s + s + s**2 = 0.
-1, -1/3, 0, 1/3
Factor -76/5*m**2 + 144/5*m + 16/5.
-4*(m - 2)*(19*m + 2)/5
Let p(o) be the first derivative of 1/3*o**2 - 2 + 2/9*o**3 - 2/3*o - 1/6*o**4. Determine k, given that p(k) = 0.
-1, 1
Determine g, given that -2/7*g**2 + 2 - 12/7*g = 0.
-7, 1
Let j = -204 - -3062/15. Let y(g) be the second derivative of -2*g + 0*g**3 + 1/10*g**5 + 0 + 0*g**4 + 1/21*g**7 + 0*g**2 - j*g**6. Let y(i) = 0. Calculate i.
0, 1
Let s(d) = d**3 + 8*d**2 + 6*d + 6. Let b(k) = 2*k**3 + 17*k**2 + 13*k + 13. Let g(j) = 6*b(j) - 13*s(j). Factor g(t).
-t**2*(t + 2)
Solve 0*r + 3/2*r**2 + 3/4*r**3 + 0 = 0.
-2, 0
Let p(u) be the second derivative of 0 + 0*u**2 + 1/9*u**3 - 8*u - 1/54*u**4. Let p(o) = 0. What is o?
0, 3
Suppose -29*i + 9*i = 0. Factor -1/3*r**2 + 0 + i*r.
-r**2/3
Let d(y) be the first derivative of -1/4*y**4 + 0*y**3 + 6 + 0*y + 1/2*y**2. What is s in d(s) = 0?
-1, 0, 1
Let g be (-2)/4*3*-2. Suppose -4*p = p -