econd derivative of -p**7/504 - p**6/360 + p**5/180 + p**3/3 + p. Let b(m) be the second derivative of r(m). Solve b(t) = 0 for t.
-1, 0, 2/5
Let n = 800 - 800. Solve 8/15*b**2 + n - 2/15*b**3 - 8/15*b = 0.
0, 2
Suppose -2*m + n + 4*n + 9 = 0, -3*m + 11 = -5*n. Suppose t - 4*c - 17 = 0, -4*c = 4*t - 2*t + 2. Solve 0 + 1/3*a**t + 1/3*a**m + a**3 + 0*a + a**4 = 0.
-1, 0
Factor 178*w - 13*w**2 - 3*w**3 - 190*w - 2*w**2.
-3*w*(w + 1)*(w + 4)
Factor -2/5*a**4 - 2/5*a**5 + 4/5*a**2 - 2/5*a + 4/5*a**3 - 2/5.
-2*(a - 1)**2*(a + 1)**3/5
Let o(y) be the third derivative of 2*y**7/315 - y**5/15 - y**4/9 + 2*y**2. Solve o(m) = 0 for m.
-1, 0, 2
Let t(n) = -n**2 - 27*n. Let h be t(-27). Determine w so that -2/5*w**3 + 0 + 0*w + h*w**4 + 0*w**2 + 2/5*w**5 = 0.
-1, 0, 1
Let i(k) = k**3 - 4*k**2 + 5*k - 2. Let l be i(3). Let c be 1/2 + 2/l. Factor 9 + 18*t**2 + 0 + 24*t - c.
2*(3*t + 2)**2
Let n = -505679/420 + 1204. Let f(w) be the third derivative of w**2 - 1/672*w**8 + 0*w + 0*w**3 + 0 + 1/240*w**6 + n*w**7 - 1/120*w**5 + 0*w**4. Factor f(x).
-x**2*(x - 1)**2*(x + 1)/2
Factor 3*h**2 - h**2 - 80 - 3*h**2 - 75*h + 6*h**2.
5*(h - 16)*(h + 1)
Let h be (-1 + -3)/(4/(-294)). Let -2*r**2 + h*r - 294*r = 0. What is r?
0
Let q(x) = 2*x + 19. Let h be q(-8). Factor -4/5*t - 6/5*t**2 - 1/5 - 4/5*t**h - 1/5*t**4.
-(t + 1)**4/5
Let j(b) be the second derivative of b**7/168 - b**6/120 - b**5/80 + b**4/48 - 2*b. Find a, given that j(a) = 0.
-1, 0, 1
Factor -4/7*c + 4/7*c**3 + 16/7 - 16/7*c**2.
4*(c - 4)*(c - 1)*(c + 1)/7
Let w(k) be the first derivative of -k**4/3 - 20*k**3/9 - 14*k**2/3 - 4*k - 7. Suppose w(b) = 0. What is b?
-3, -1
Let p(z) be the third derivative of z**5/100 - z**4/20 + z**3/10 + 8*z**2. Factor p(k).
3*(k - 1)**2/5
Solve -5*v + 15 + v**2 - 33 + 24 = 0 for v.
2, 3
Let w(u) = -5*u**3 - 3*u**2 - 7*u. Let j(m) = -m**3 + m**2 - m. Let s(t) = -6*j(t) + 2*w(t). Factor s(c).
-4*c*(c + 1)*(c + 2)
Let y(r) be the first derivative of 2/15*r**3 + 1/30*r**6 + 1/5*r**4 - 4/25*r**5 + 2/5*r + 2 - 1/2*r**2. Suppose y(x) = 0. Calculate x.
-1, 1, 2
Let q(l) be the first derivative of -l**3/3 + 1. Let q(x) = 0. What is x?
0
Let a(h) be the second derivative of h**7/98 - 3*h**6/70 + 3*h**5/70 + h**4/14 - 3*h**3/14 + 3*h**2/14 - 6*h. Solve a(t) = 0 for t.
-1, 1
Suppose 0 = 156*w - 158*w + 8. Factor -2/5*f**2 + 0 + 0*f - 18/5*f**w + 12/5*f**3 + 8/5*f**5.
2*f**2*(f - 1)**2*(4*f - 1)/5
Let b(z) be the third derivative of -z**7/42 + z**6/12 + z**5/12 - 5*z**4/12 + 5*z**2. Factor b(c).
-5*c*(c - 2)*(c - 1)*(c + 1)
Let h(s) be the third derivative of s**8/1512 - 4*s**7/945 + s**6/90 - 2*s**5/135 + s**4/108 - 11*s**2. Factor h(t).
2*t*(t - 1)**4/9
Let i be 75/5*4/10. Let h = -2 + i. Find t such that -1 - 1 + h*t - 2*t**2 + 0 = 0.
1
Suppose -28*u**2 + 3*u**4 + 28*u**2 + 6*u - 6*u**3 - 3 = 0. Calculate u.
-1, 1
Let m(q) be the second derivative of 5*q**4/12 - 25*q**3/18 - 5*q**2/3 - 17*q. Factor m(a).
5*(a - 2)*(3*a + 1)/3
Let h = 14227/27 + -527. Let g = 35/108 + h. Factor g*x**2 + 1 + x.
(x + 2)**2/4
Let c(m) be the second derivative of -m**4/54 + m**3/9 + 8*m. Solve c(u) = 0.
0, 3
Let i(p) = -2*p**4 - 9*p**3 - 7*p**2 + 7. Let h(w) = w**4 + 6*w**3 + 5*w**2 - 5. Let b(s) = 7*h(s) + 5*i(s). Factor b(t).
-3*t**3*(t + 1)
Suppose 2*d = 5*d + 3*r - 3, 0 = -d + 5*r + 19. Factor d*b**4 - 4*b**3 + 2*b - 2*b**4 + 6*b**2 + 10*b**3.
2*b*(b + 1)**3
Let l(r) be the second derivative of r**7/1260 + r**6/540 - r**5/180 - r**4/2 - 6*r. Let b(u) be the third derivative of l(u). Let b(m) = 0. Calculate m.
-1, 1/3
Let g be 3 + 3 - -3 - 6. Factor 4/9*b**2 + 0*b - 2/9 + 0*b**g - 2/9*b**4.
-2*(b - 1)**2*(b + 1)**2/9
Let j(a) = -8*a**3 - 2*a - 1. Let i be j(-1). Let x = i + -7. Factor 0 + 1/4*n**4 - 1/4*n**3 - 1/4*n**x + 0*n + 1/4*n**5.
n**2*(n - 1)*(n + 1)**2/4
Suppose 6*w**2 - w**2 + 2*w - 3*w**2 = 0. Calculate w.
-1, 0
Let x(z) be the third derivative of -z**6/1080 - z**5/60 - z**4/8 - z**3/2 - 3*z**2. Let d(o) be the first derivative of x(o). Solve d(p) = 0 for p.
-3
Let n(b) be the first derivative of b**7/147 - b**6/105 - b**5/70 + b**4/42 - 2*b - 3. Let h(y) be the first derivative of n(y). What is o in h(o) = 0?
-1, 0, 1
Let c be (-2)/(-3) + (-1)/(-3). Suppose -2*q + 13 = c. Factor 6*f**2 - q - f + 0*f**4 + 3*f**2 - 3*f**4 - 2*f + 3*f**3.
-3*(f - 2)*(f - 1)*(f + 1)**2
Let m = 105288/35 + -3008. Let z(n) be the first derivative of -1 - m*n**5 + 0*n**4 + 0*n - 1/7*n**2 + 2/7*n**3. Determine i, given that z(i) = 0.
-1, 0, 1/2
Let b(g) be the second derivative of -g**5/50 - g**4/30 + g**3/15 + g**2/5 - 3*g. Factor b(y).
-2*(y - 1)*(y + 1)**2/5
Let z(b) = -b**2 + b + 2. Let w be z(0). Factor 7*y - 2*y - 4*y - y**w.
-y*(y - 1)
Let t(i) be the third derivative of -i**6/240 - i**5/60 - i**4/48 - 2*i**2. Solve t(r) = 0.
-1, 0
Let p(b) be the first derivative of -4/21*b**3 + 4/7*b**2 - 1 + 0*b. Find k, given that p(k) = 0.
0, 2
Let y(k) be the second derivative of k**7/105 + k**6/75 - k**5/10 + k**4/10 + 6*k. Factor y(z).
2*z**2*(z - 1)**2*(z + 3)/5
Let x(g) be the first derivative of 0*g - 2/5*g**5 - 3 + 0*g**2 + 1/6*g**6 + 1/4*g**4 + 0*g**3. Suppose x(l) = 0. What is l?
0, 1
Let n(l) = -l + 9. Let j be n(7). Let i be (2/7)/(j/14). Factor 0 - 4/5*f - 2/5*f**i.
-2*f*(f + 2)/5
Let m(l) be the second derivative of l**5/90 - l**4/27 + l**3/27 - 6*l. Factor m(i).
2*i*(i - 1)**2/9
Factor 30*u**3 - 2*u**2 - 6*u**2 - 34*u**3 + 12*u.
-4*u*(u - 1)*(u + 3)
Factor -2/9*w**2 - 16/9 + 4/3*w.
-2*(w - 4)*(w - 2)/9
Let a be 3/((-66)/4) + (-732)/(-4026). Find f such that 6/5*f + a - 3/5*f**2 = 0.
0, 2
Let c(u) be the first derivative of u**5/30 - u**4/12 + u**3/18 - 19. Let c(r) = 0. What is r?
0, 1
Let i = 17 - 15. Solve 8*f + 1 - 8*f**3 + 20*f**i - 13*f**4 + 2*f**3 - 1 + 5*f**5 = 0 for f.
-1, -2/5, 0, 2
Let a(q) be the third derivative of q**5/240 - q**4/96 - q**3/12 - 23*q**2. Factor a(z).
(z - 2)*(z + 1)/4
Let g(r) = -9*r**3 - 11*r**2 - 54*r - 54. Let y(m) = 8*m**3 + 12*m**2 + 54*m + 54. Let t(x) = 6*g(x) + 7*y(x). Find j such that t(j) = 0.
-3
Let s(r) be the second derivative of 1/45*r**6 - 5*r - 1/18*r**4 + 0*r**3 + 0*r**2 + 1/30*r**5 + 0 - 1/63*r**7. Factor s(z).
-2*z**2*(z - 1)**2*(z + 1)/3
Let s be (2/(-5))/(24/(-20)). Let u(x) be the first derivative of x**2 + 0*x + 1 + s*x**3. Factor u(l).
l*(l + 2)
Suppose -6*r = -2*r - 8. Factor -2 - 4*x + 4*x**2 - 7*x**2 + x**r + 0*x**2.
-2*(x + 1)**2
Suppose 2*j + 3*y + 17 = 68, j + 2 = 4*y. Let 34*g**3 - 21*g**3 + 32*g**3 + j*g**3 + 129*g**2 - 12 = 0. Calculate g.
-2, -1/3, 2/7
Suppose -2*u = 4*i - 4*u - 6, 3*i = 4*u + 2. Solve -6*f**i - 36*f + 27 + 12*f**3 + 0*f**4 - 2*f**4 + 5*f**4 = 0.
-3, 1
Let z(n) be the first derivative of -n**4/16 + n**3/4 - n + 1. Determine m, given that z(m) = 0.
-1, 2
Let r = 10 - 17. Let g = r - -9. Suppose 0*v + 1/2*v**3 + 0 - 1/2*v**g = 0. What is v?
0, 1
Suppose 4*q - 4 = 4. Let w(x) be the second derivative of 0 + 2/15*x**6 + 0*x**q - x + 1/3*x**4 - 1/6*x**3 - 3/10*x**5 - 1/42*x**7. Factor w(n).
-n*(n - 1)**4
Let f(n) be the third derivative of n**9/7560 - n**7/2100 + n**3/3 - 4*n**2. Let k(o) be the first derivative of f(o). Solve k(s) = 0 for s.
-1, 0, 1
Let y(a) be the third derivative of 0*a**4 + 1/2*a**3 + 0*a + 0*a**5 - 3*a**2 + 1/540*a**6 + 0. Let z(s) be the first derivative of y(s). Factor z(k).
2*k**2/3
Let z = 9 - 4. Suppose 0 = 5*h - z*k - 40, -3*h + 6 + 2 = k. Factor 5*t**2 - 9*t**2 - 2 - 11*t**2 - 8*t - 2*t**h + 3*t**2 - 8*t**3.
-2*(t + 1)**4
Let d be 1/((-3)/(-27))*1. Let u be -1 + 2 - d/27. Factor -2/3*t**5 - 2/3*t**4 + 2/3*t**2 + 0*t + u*t**3 + 0.
-2*t**2*(t - 1)*(t + 1)**2/3
Let w(r) be the first derivative of -r**7/280 - r**6/60 + r**5/40 + r**4/4 - r**3 + 1. Let s(f) be the third derivative of w(f). Factor s(y).
-3*(y - 1)*(y + 1)*(y + 2)
Let v(u) = 10*u**3 - 8*u**2 - 11*u + 7. Let w(j) = -j**3 + j**2 + j - 1. Let z(d) = 2*v(d) + 22*w(d). Factor z(h).
-2*(h - 2)**2*(h + 1)
Let p(r) = -3*r**2 - 18*r + 3. Let y be p(-6). Factor -2/9*j**y + 2/9*j + 0 + 2/9*j**4 - 2/9*j**2.
2*j*(j - 1)**2*(j + 1)/9
Suppose 0 - 5 = 5*s. Let c be (s + 3)*(-6)/(-4). Find q such that -20*q + 8 - 5*q**c + 0*q + 22*q**2 - 8*q = 0.
2/5, 2
Let o(c) be the second derivative of -3/8*c**3 + 3/4*c**2 + 0 + 1/16*c**4 + c. Suppose o(t) = 0. What is 