e the second derivative of -u**6/40 + 3*u**5/80 + u**4/8 - 2*u. Factor c(g).
-3*g**2*(g - 2)*(g + 1)/4
Let k(h) be the second derivative of h**5 + 8*h**4/3 - 38*h**3/3 + 12*h**2 - 5*h. Factor k(b).
4*(b - 1)*(b + 3)*(5*b - 2)
Let t(q) be the third derivative of q**8/840 + q**7/525 - q**6/150 - q**5/75 + q**4/60 + q**3/15 - 10*q**2. Factor t(a).
2*(a - 1)**2*(a + 1)**3/5
Let c be (-14)/(-4) + (-21)/(-14). Suppose 0 = -u - 4*u - 5, 0 = -4*n - c*u + 7. Suppose 0 + 4/3*z**n + 2/3*z + 2*z**2 = 0. Calculate z.
-1, -1/2, 0
Let u(q) be the third derivative of q**7/840 + q**6/120 + q**5/48 + q**4/48 + 8*q**2. Solve u(a) = 0.
-2, -1, 0
Let m(k) be the third derivative of -k**5/270 - k**4/36 - 2*k**3/27 - 6*k**2. Factor m(t).
-2*(t + 1)*(t + 2)/9
Let p(r) be the second derivative of r**9/3780 - r**8/3360 - 2*r**4/3 - 4*r. Let u(z) be the third derivative of p(z). Factor u(t).
2*t**3*(2*t - 1)
Let q(k) be the first derivative of -12*k**2 + 15/4*k**4 - 12*k + 7*k**3 + 3. Suppose q(y) = 0. Calculate y.
-2, -2/5, 1
Let r = -213 - -3199/15. Let g(w) be the second derivative of -r*w**6 - 5/6*w**4 - 1/3*w**3 - 4*w + 0 - 4/5*w**5 + 0*w**2. What is t in g(t) = 0?
-1, -1/2, 0
Suppose 2*m + 11 = 5*s, 2*s + 2 = 6*m - 2*m. Suppose -m*i + 5 = 1. Determine b, given that 56*b**3 - 39*b - 17*b + 98*b**4 - 90*b**2 - i - 6 = 0.
-1, -2/7, 1
Let m(z) = z**3 + 2*z**2 - 5*z - 10. Let g be m(-3). Let u be (g - 16/(-4)) + 2. Determine y, given that 2/7*y**3 + 4/7 - 2/7*y - 4/7*y**u = 0.
-1, 1, 2
Let u = 48 - 18. Let m be (u/35)/((-3)/(-4)). Find q such that -8/7*q - m - 2/7*q**2 = 0.
-2
Let c(p) be the third derivative of -p**9/90720 + p**7/7560 - p**5/20 - 6*p**2. Let v(x) be the third derivative of c(x). Factor v(a).
-2*a*(a - 1)*(a + 1)/3
Let p be ((-7)/10)/(16/60). Let t = p - -23/8. Suppose -t + 1/2*x - 1/4*x**2 = 0. Calculate x.
1
Suppose -n - 44 + 46 = 0. Let l(v) be the second derivative of -v - 1/12*v**4 + 0*v**n - 1/40*v**5 + 0 - 1/12*v**3. Factor l(q).
-q*(q + 1)**2/2
What is t in -8*t**3 - 10/3*t**5 + 28/3*t**4 + 0 + 2/3*t + 4/3*t**2 = 0?
-1/5, 0, 1
Let c(x) be the third derivative of -x**8/588 + 2*x**7/245 - x**6/210 - x**5/35 + x**4/21 + 2*x**2 + 6. What is z in c(z) = 0?
-1, 0, 1, 2
Let a(j) be the first derivative of 5*j**4/66 - j**3/11 - 2*j**2/11 - 3*j - 2. Let x(n) be the first derivative of a(n). Solve x(m) = 0 for m.
-2/5, 1
Let p(l) be the third derivative of 0 - 3*l**2 + 1/1344*l**8 + 0*l + 1/60*l**5 + 0*l**3 + 1/210*l**7 + 1/96*l**4 + 1/80*l**6. Solve p(i) = 0 for i.
-1, 0
Let m(q) = 2*q**2 - q + 9. Let v(d) be the third derivative of d**5/20 - d**4/12 + 13*d**3/6 + 6*d**2. Let i(z) = -7*m(z) + 5*v(z). Factor i(n).
(n - 2)*(n - 1)
Suppose -x - 3 = 3*g - 11, -3*x = 4*g - 14. Let f be -4*-2*x/4. Factor -7*r**2 + f + 2*r + r**2 + 4*r**2.
-2*(r - 2)*(r + 1)
Let c be -4 - ((-10)/25 + (-44)/10). Find p, given that -c*p + 6/5*p**3 + 0 - 2/5*p**2 = 0.
-2/3, 0, 1
Determine r so that 0 + 1/11*r**4 + 0*r + 0*r**2 - 1/11*r**3 = 0.
0, 1
Let d(n) = -n**2 - 12*n - 7. Let i be d(-11). Let w = 11/2 - i. Find a such that 1 + 1/2*a**2 - w*a = 0.
1, 2
Suppose -4*y = -5*m - 2, -4*y + 3*m + 16 = 5*m. Determine v so that -27*v**4 - 3*v**2 + 0*v**3 - 14*v**y - 4*v**3 = 0.
-1/3, 0
Solve 4*a**3 + a**2 - 2*a**5 - 3*a**2 + 2*a**4 - 2*a + 2 - 2*a**2 = 0.
-1, 1
Let a = 192/721 - -2/103. Let w be ((-176)/66)/(1/(6/(-4))). Factor 0 + 4/7*k**3 + 0*k + a*k**w + 2/7*k**2.
2*k**2*(k + 1)**2/7
Factor -4/5*i**2 + 4/5*i**3 + 0 + 4/5*i**4 - 4/5*i.
4*i*(i - 1)*(i + 1)**2/5
Factor 1047*l**2 + 22 - 612*l + 26*l**4 + 120 - 510*l**3 - 34 + 49*l**4.
3*(l - 3)**2*(5*l - 2)**2
Let d(w) = 2*w**2 + 9*w - 17. Let a(r) = -r - 1. Let j(m) = -6*a(m) + 2*d(m). Factor j(q).
4*(q - 1)*(q + 7)
Let t(x) be the third derivative of 0*x + 6*x**2 - 1/80*x**5 + 3/8*x**3 + 0 + 1/16*x**4. Factor t(l).
-3*(l - 3)*(l + 1)/4
Suppose 2*v - 6*v + 2*l = -32, -2*l = 5*v - 22. Factor -7*d**4 + 4*d**2 - d**3 + 3*d**3 - v*d**5 - d**4.
-2*d**2*(d + 1)**2*(3*d - 2)
Let l(i) = -3*i**4 - 32*i**3 + 40*i**2 + 32*i - 33. Let j(u) = 5*u**4 + 65*u**3 - 80*u**2 - 65*u + 65. Let a(o) = 2*j(o) + 5*l(o). Find r such that a(r) = 0.
-7, -1, 1
Suppose 14 = -f + 16. Let v(w) be the third derivative of 1/30*w**6 + 2/45*w**5 + 0*w**3 + f*w**2 + 1/504*w**8 + 0 + 1/36*w**4 + 0*w + 4/315*w**7. Factor v(c).
2*c*(c + 1)**4/3
Let j(c) be the second derivative of 0*c**2 + 0*c**5 - 1/15*c**6 + 0 + 1/6*c**4 + 4*c + 0*c**3. Factor j(g).
-2*g**2*(g - 1)*(g + 1)
Let n(l) = -l**2 + 8*l - 2. Let r = 14 + -8. Let h(i) = 4*i - 1. Let d(g) = r*n(g) - 10*h(g). Factor d(j).
-2*(j - 1)*(3*j - 1)
Let b(f) be the third derivative of f**7/140 + f**6/240 - 3*f**5/40 - 3*f**4/16 - f**3/6 + f**2. Determine v so that b(v) = 0.
-1, -1/3, 2
Let l(p) be the first derivative of p**7/840 - p**6/360 - p**5/60 - p**3 - 3. Let f(m) be the third derivative of l(m). Factor f(i).
i*(i - 2)*(i + 1)
Let l be (-36)/((-10)/5 + 0). Let q be ((-26)/78)/((-2)/l). Suppose 2/7*z**q + 0*z + 0 + 0*z**2 - 2/7*z**4 = 0. Calculate z.
0, 1
Let q = -1 - 0. Let z(x) = x**2 + x - 1. Suppose 6 + 0 = -s. Let l(m) = -153*m**2 + 78*m - 6. Let j(p) = q*l(p) + s*z(p). Factor j(w).
3*(7*w - 2)**2
Factor 18*q + 38*q - 21*q**2 + 17*q**2 - 196.
-4*(q - 7)**2
Let h(k) be the third derivative of k**5/80 + 5*k**4/32 + 22*k**2. Find o such that h(o) = 0.
-5, 0
Let a(l) be the first derivative of 4/7*l + 2 - 13/7*l**2 - 23/14*l**4 + 2/5*l**5 + 18/7*l**3. Factor a(x).
2*(x - 1)**3*(7*x - 2)/7
Suppose u = -a + 26, -a - 2*a = -5*u + 138. Let w = u + -24. Suppose 0*z - z**2 + 0 - 1/2*z**w = 0. What is z?
-2, 0
Let j(v) be the second derivative of 0 - 2/3*v**3 + 0*v**2 - 1/6*v**4 - v. Factor j(g).
-2*g*(g + 2)
Let r(o) = 14*o**4 + 27*o**3 + 6*o**2 + 2*o - 2. Let j(l) = -71*l**4 - 135*l**3 - 30*l**2 - 11*l + 11. Let b(k) = 2*j(k) + 11*r(k). Solve b(g) = 0 for g.
-2, -1/4, 0
Let g(u) be the first derivative of u**4/66 + u**3/33 - 2*u**2/11 - 4*u - 1. Let z(o) be the first derivative of g(o). Solve z(n) = 0 for n.
-2, 1
Let n = -2 - 0. Let z(j) = j**2 - 11*j - 5. Let s(l) = -l**2 + 5*l + 2. Let a(d) = n*z(d) - 5*s(d). Factor a(x).
3*x*(x - 1)
Let m(g) = g**2 + g + 1. Let x(u) = 8*u**2 + 10*u + 11. Let v(c) = 36*m(c) - 4*x(c). Find k such that v(k) = 0.
-1, 2
Factor 0 + 1/2*m**4 - m**3 + 1/2*m**2 + 0*m.
m**2*(m - 1)**2/2
Let p(g) be the second derivative of -7*g**6/30 - g**5/4 + 3*g**4/4 + 5*g**3/6 - g**2 + 11*g. What is d in p(d) = 0?
-1, 2/7, 1
Factor -1/3*r**2 - 2 - 5/3*r.
-(r + 2)*(r + 3)/3
Let w(k) be the first derivative of k**7/735 - k**5/105 + k**3/21 - 7*k**2/2 + 4. Let i(c) be the second derivative of w(c). Factor i(n).
2*(n - 1)**2*(n + 1)**2/7
Let h be (-39)/(-15) + (-6)/(-15). Let i be (-1)/h*(-2 + -13). Solve 3 - 25*y**2 + 0 - i - 20*y - 2 = 0.
-2/5
Let z(q) be the third derivative of 0*q**3 - 2*q**2 + 1/300*q**5 + 1/600*q**6 + 0 + 0*q - 1/1050*q**7 - 1/1680*q**8 + 0*q**4. Determine k so that z(k) = 0.
-1, 0, 1
Let i(s) be the first derivative of -s**4/16 - s**3/6 - s**2/8 + 2. Factor i(a).
-a*(a + 1)**2/4
Let w(i) be the first derivative of i**4/4 + 2*i**3 + 6*i**2 + 6*i - 7. Let s(u) be the first derivative of w(u). Solve s(k) = 0 for k.
-2
Let f(u) be the third derivative of -u**6/1020 + u**4/204 - 6*u**2. Determine l so that f(l) = 0.
-1, 0, 1
Factor -4/11 + 2/11*q**2 - 2/11*q.
2*(q - 2)*(q + 1)/11
Let j = -160/3 + 54. Let g(f) be the first derivative of j*f**3 - 1 - 7/5*f**2 + 4/5*f. Factor g(a).
2*(a - 1)*(5*a - 2)/5
Let o = 20 - 16. Suppose o*b + 9 = 5*b + 3*q, -2*q = 5*b - 19. Factor 2/3*u**4 + 0 + 2/3*u - 2/3*u**2 - 2/3*u**b.
2*u*(u - 1)**2*(u + 1)/3
Factor 0 - 2/5*z + 2/3*z**2.
2*z*(5*z - 3)/15
Let a(z) be the third derivative of 1/210*z**7 + 5*z**2 + 0*z + 0*z**6 + 0 + 1/6*z**3 + 0*z**4 - 1/30*z**5. Factor a(n).
(n - 1)**2*(n + 1)**2
Let j(n) = 24*n**5 - 20*n**4 - 36*n**3 + 28*n**2 - 8*n - 28. Let b(o) = o**5 - o**4 - o**3 + o**2 - o - 1. Let u(h) = -20*b(h) + j(h). Factor u(q).
4*(q - 1)**3*(q + 1)*(q + 2)
Suppose 2*l - 3*l = -4*b + 7, -5*b + 4*l + 6 = 0. Factor y**b + 2*y**2 + 0*y**2.
3*y**2
Let o(p) be the first derivative of p + 0*p**3 + 1/3*p**2 - 1/18*p**4 - 2. Let a(g) be the first derivative of o(g). Factor a(j).
-2*(j - 1)*(j + 1)/3
Let c be -2 + (-1)/((-2)/6). Let a be (c - 1)/(6 - 4). D