he second derivative of 0 + 5/18*o**4 - 7/30*o**6 + 2*o**3 - 2/63*o**7 + 4/3*o**2 - o - 29/60*o**5. Solve r(j) = 0.
-2, -1/4, 1
Let r(v) = -5*v - 193. Let o be r(-39). Factor 2/9*i**o + 0 + 2/9*i.
2*i*(i + 1)/9
Let y(b) be the second derivative of b**6/720 - b**4/48 - b**3/2 - 3*b. Let a(f) be the second derivative of y(f). Factor a(d).
(d - 1)*(d + 1)/2
Let w(p) be the first derivative of 5*p**4/24 + 5*p**3/6 - 10*p/3 + 4. Suppose w(g) = 0. Calculate g.
-2, 1
Suppose -3*z + 14 = -2*z - 3*l, 3*z - 2*l = 14. Suppose 14 = 3*q + 5*f, -4*q - 4*f = -2*q - 10. Factor 2/9*s**5 - 2/9 - 4/9*s**z - 2/3*s + 4/9*s**q + 2/3*s**4.
2*(s - 1)*(s + 1)**4/9
Let k = -9 + 12. Let b(m) be the third derivative of 1/420*m**6 + 0*m**5 + 2*m**2 + 0 + 0*m + 0*m**k - 1/84*m**4. Solve b(i) = 0.
-1, 0, 1
Let d(v) = 14*v**5 + 4*v**4 + 6*v**3 - 6*v**2 + 6. Let k(j) = -j**5 - j**4 - j**3 + j**2 - 1. Let i(q) = d(q) + 6*k(q). Factor i(y).
2*y**4*(4*y - 1)
Let m(a) = 56*a + 10. Let q be m(-7). Let x = -1519/4 - q. Find b such that 7/4*b**3 + 1/2*b + 0 + x*b**2 = 0.
-1, -2/7, 0
Let u(k) be the second derivative of 0 + 1/3*k**4 + k**2 - k**3 - 2*k. Factor u(q).
2*(q - 1)*(2*q - 1)
Let y(r) be the third derivative of 1/15*r**5 + 0*r**3 - 1/120*r**6 + 0 + 0*r - r**2 - 1/6*r**4. Let y(t) = 0. Calculate t.
0, 2
Let y = 21 - 17. Let j = 1 - -4. Find f, given that -3*f**j + 6*f**5 - y*f**5 = 0.
0
Let n(p) = -24*p**3 - 45*p**2 - 34*p - 9. Let g(c) = 23*c**3 + 45*c**2 + 33*c + 8. Let q(b) = -4*g(b) - 3*n(b). Let q(f) = 0. Calculate f.
-1, -1/4
Let t(z) be the first derivative of -26/3*z**3 - 8*z - 3*z**4 - 12*z**2 - 2/5*z**5 + 2. Determine w, given that t(w) = 0.
-2, -1
Let k(u) be the first derivative of u**6/40 + u**5/5 + 5*u**4/8 + u**3 + 3*u**2/2 - 1. Let w(s) be the second derivative of k(s). Factor w(x).
3*(x + 1)**2*(x + 2)
Factor 8/11 + 10/11*n + 2/11*n**2.
2*(n + 1)*(n + 4)/11
Factor 3 + 5/2*o**3 + 11*o**2 + 23/2*o.
(o + 1)*(o + 3)*(5*o + 2)/2
What is o in 3/5*o**5 + 0 + 3/5*o + 0*o**2 + 0*o**4 - 6/5*o**3 = 0?
-1, 0, 1
Let p(b) be the first derivative of 4*b**3/27 - 4*b**2/3 + 20*b/9 + 26. Find l, given that p(l) = 0.
1, 5
Solve 32/5*x**2 - 48/5*x + 18/5 = 0 for x.
3/4
Let i(d) = -5*d**2 - 3. Suppose 4*c - a + 1 - 12 = 0, -5*c + a = -14. Let b(u) = -c + u**2 + 2 - 2*u**2. Let l(f) = -4*b(f) + i(f). Factor l(p).
-(p - 1)*(p + 1)
Find a, given that -1/4*a**5 - 3/4*a**2 + 1/2*a + 0 - 1/4*a**3 + 3/4*a**4 = 0.
-1, 0, 1, 2
Suppose 5*j - s - 17 = 0, 0 = 3*j - 7*s + 3*s - 17. Suppose j*l + 4 = -r + 5, -5*r - 2*l + 18 = 0. Factor 1/2*v**3 + 1/4 - 1/2*v - 1/4*v**r + 0*v**2.
-(v - 1)**3*(v + 1)/4
Suppose 0 = 5*a - 0*a. Let d = 13 - 11. Find x, given that a*x - 2/7*x**4 - 4/7*x**5 + 2/7*x**d + 4/7*x**3 + 0 = 0.
-1, -1/2, 0, 1
Let j(u) be the second derivative of 0*u**3 + 0 - 1/100*u**5 - 1/150*u**6 + 1/60*u**4 + 1/210*u**7 + 2*u + 0*u**2. Determine w so that j(w) = 0.
-1, 0, 1
Suppose 16 + 4 + 5*m**2 - 22*m**4 + 31*m - 3*m**4 - 35*m**3 + 9*m - 5*m**5 = 0. Calculate m.
-2, -1, 1
Let j = 26 - 30. Let l be (-30)/(j/(8/39)). Let -10/13*g + 2/13 - l*g**3 - 2/13*g**5 + 20/13*g**2 + 10/13*g**4 = 0. What is g?
1
Let d = -11 - -17. Suppose -3*c - 5*m = -10, 0 = -3*m - 0*m + d. Factor 0*k - 2*k**3 + c + 2/3*k**2 - 8/3*k**4.
-2*k**2*(k + 1)*(4*k - 1)/3
Let n be -5 + (0 - 102/(-18)). Suppose 0 - n*p**3 + 1/3*p**2 + 0*p + 1/3*p**4 = 0. Calculate p.
0, 1
Let 0*t + 0 + 3/5*t**4 - 12/5*t**3 + 12/5*t**2 = 0. What is t?
0, 2
Let y be 6/(-3)*(-9)/6. Factor 13*s**y - 4*s**2 + 8*s**3 + 4*s**3 + 2*s**5 - 15*s**3 - 8*s**4.
2*s**2*(s - 2)*(s - 1)**2
Solve 4/3*q + 0 + 4*q**2 + 1/3*q**5 + 13/3*q**3 + 2*q**4 = 0.
-2, -1, 0
Factor -2/11*q**2 + 4/11*q + 0.
-2*q*(q - 2)/11
Let l = -31 + 31. Solve 8/9*f**2 + 8/9*f + l + 2/9*f**3 = 0 for f.
-2, 0
Factor 0*q + 8/19*q**2 - 2/19.
2*(2*q - 1)*(2*q + 1)/19
Suppose 4*k = 17 + 3. Let a = k + -3. Factor 0 + 2*g + 0*g**a - 1 - g**2.
-(g - 1)**2
Let -28/17 - 90/17*p**2 - 2*p**3 - 2/17*p**4 - 86/17*p = 0. What is p?
-14, -1
Let b(q) be the third derivative of q**7/210 - q**6/40 - q**5/60 + q**4/8 - 4*q**2. Solve b(d) = 0 for d.
-1, 0, 1, 3
Let h = 75/2 - 37. Factor h - 3/4*w + 1/4*w**2.
(w - 2)*(w - 1)/4
Let g = -1/270 + 47/540. Let h(v) be the first derivative of 1/16*v**4 + 2 + g*v**3 + 0*v**2 + 0*v. Solve h(t) = 0.
-1, 0
Let m = 29 + -21. Factor 3*q**5 + 2*q**3 - 23*q + 26*q - m*q**3.
3*q*(q - 1)**2*(q + 1)**2
Determine g so that 1/2*g**2 - g + 1/2 = 0.
1
Let x = -17 + 5. Let b be 0 + (-28)/x - 2. Let 1/3*n**3 - 2/3*n**2 + b*n + 0 = 0. What is n?
0, 1
Let i(s) be the second derivative of s**5/150 - s**4/15 + 4*s**3/15 + s**2/2 - 6*s. Let a(l) be the first derivative of i(l). Solve a(o) = 0 for o.
2
Suppose -y - 2*u = 2*y - 57, -2*y + 5*u = -38. Let a = -23 + 39. Factor -y*o - 12*o + 7*o + 12*o**2 - 2*o**3 + a.
-2*(o - 2)**3
Let d(u) = -u**2 - u. Let g be d(0). Let x be 2/5 + (-56)/(-35). Solve g - 2/9*m**x + 0*m + 2/9*m**3 = 0.
0, 1
Let j be (-6)/27 - (-30)/54. Factor n + j*n**2 + 2/3.
(n + 1)*(n + 2)/3
Let z be (-9 - (-1 + -2))/(-10). Determine d, given that z + 12/5*d**4 - 3*d**2 - 9/5*d + 9/5*d**3 = 0.
-1, 1/4, 1
Let n(t) be the third derivative of t**7/1050 + t**6/150 + t**5/60 + t**4/60 - 6*t**2. Find d such that n(d) = 0.
-2, -1, 0
Let k(l) be the third derivative of 2/35*l**7 + 0*l**4 + 1/8*l**6 + 0*l + 1/10*l**5 + 0*l**3 + 0 + 1/112*l**8 - l**2. Factor k(t).
3*t**2*(t + 1)**2*(t + 2)
Let c(d) = -d**3 + d**2 + d + 1. Let q be c(-1). Factor -2*i**3 + 3*i**q - 2*i - 4*i + 4*i - 7*i**2.
-2*i*(i + 1)**2
Let d(w) be the second derivative of w**5/100 + w**4/15 + w**3/6 + w**2/5 - 8*w. Factor d(r).
(r + 1)**2*(r + 2)/5
Let j(i) = i**2 - 10*i - 9. Let h be j(11). Factor 3*o**3 - h*o + 2*o**3 - o - 2*o**3.
3*o*(o - 1)*(o + 1)
Suppose l - 5*l = -16. Let h = 2 + 1. Factor -4/7*f**l + 0 + 2/7*f**h + 2/7*f**5 + 0*f + 0*f**2.
2*f**3*(f - 1)**2/7
Let y(m) be the second derivative of -m**6/45 - m**5/10 - m**4/6 - m**3/9 - 8*m. Determine l so that y(l) = 0.
-1, 0
Suppose 4*d - 82 = 3*p, -d + 16 - 1 = 2*p. Suppose s + 3*t - 3 = 0, -s - 2*s + t + d = 0. Factor 31*b**2 - 7*b**2 + s*b**4 - 13*b**3 + 2 - 7*b**3 - 12*b.
2*(b - 1)**3*(3*b - 1)
Solve -2*t**2 + 4*t**3 - 1 + 3*t**2 + t - 5*t**3 + 0 = 0 for t.
-1, 1
Let l be 4/8*(-8 - 0). Let m be (-4)/18 + l/(-18). Factor -2*b - 4*b**2 + 3*b - 3*b - 2*b**3 + m*b**3.
-2*b*(b + 1)**2
Let o(s) be the first derivative of -s**2 - 1/3*s**6 + 0*s + 0*s**5 + 3 + 0*s**3 + s**4. Factor o(h).
-2*h*(h - 1)**2*(h + 1)**2
Let y be (-546)/119 - (-12)/3. Let w = -16/85 - y. Factor -2/5*p**5 - 6/5*p**3 + w*p**2 + 0 + 0*p + 6/5*p**4.
-2*p**2*(p - 1)**3/5
Suppose b - 2*j = 6*b - 20, 4*j = -4*b + 28. Factor -t**3 + 2*t + 0 - 3*t**2 - 1 + 4*t**b - t.
-(t - 1)**2*(t + 1)
Let l(i) = 2*i**3 + 6*i - 4. Let n(r) = -2*r**3 + r**2 - 5*r + 3. Let s(u) = -3*l(u) - 4*n(u). Determine c, given that s(c) = 0.
0, 1
Let c(r) = -r**2 - 13*r - 12. Let p be c(-1). Solve 4/3*s**3 + 2*s**4 + p*s**2 + 0*s + 0 = 0 for s.
-2/3, 0
Let u(n) = n**2 - n. Suppose -6*o + 2*o - 4 = 0. Let r(q) = q**3 - 8*q**2 + 7*q. Let l(s) = o*r(s) - 6*u(s). Suppose l(f) = 0. Calculate f.
0, 1
Factor -7/5*b + 1/5*b**2 + 6/5.
(b - 6)*(b - 1)/5
Let z = -4 + 10. Factor -13*y**3 + 2*y**4 - z*y**2 - 4*y - 7*y**2 - 8*y**4 + y**2 - y**5.
-y*(y + 1)**2*(y + 2)**2
Suppose 67*c**4 + 2*c**5 + 0*c**5 - 65*c**4 = 0. Calculate c.
-1, 0
Let f(j) be the third derivative of -j**6/360 + j**5/60 - j**4/36 + 2*j**2. Factor f(z).
-z*(z - 2)*(z - 1)/3
Let c(m) be the third derivative of m**6/1440 - m**5/90 + 13*m**4/288 - m**3/12 - 38*m**2. What is a in c(a) = 0?
1, 6
Let g be (256/(-36))/(-4) - (-24)/108. Factor -4/7 - 22/7*n**g + 26/7*n.
-2*(n - 1)*(11*n - 2)/7
Let q(s) = -4*s**4 + 25*s**3 - 69*s**2 + 77*s - 32. Let g(h) = 4*h**4 - 24*h**3 + 68*h**2 - 76*h + 32. Let w(v) = -3*g(v) - 4*q(v). Factor w(t).
4*(t - 2)**3*(t - 1)
Let x(f) be the third derivative of -7*f**6/660 - f**5/66 + f**4/66 - 3*f**2. Factor x(v).
-2*v*(v + 1)*(7*v - 2)/11
Let b(z) be the first derivative of 2*z**3/3 + 2*z**2 + 28. Factor b(o).
2*o*(o + 2)
Let t(d) = 5*d**3 + d**2 + 3*d - 3. Let k = -14 - -8. Let b = 3 + k. Let c(p) = 4*p**3 + 2*p - 2. Let h(z) = b*c(z) + 2*t(z). Factor h(f).
-2*f**2*(f - 1)
Let f = -8 + 9. Let y(s) = s**3 + s**2 - 1. Let q(t) =