et t(a) be the second derivative of a + i*a**3 + 1/12*a**4 + 0 + a**2. Factor t(s).
(s + 1)*(s + 2)
Let v = 75 + -72. Solve 5*p**v + 1/2 + 1/2*p**5 + 5*p**2 + 5/2*p + 5/2*p**4 = 0.
-1
Let y be 1 + (-8)/10 + 217/(-1260). Let z(j) be the second derivative of -1/6*j**2 + y*j**4 + 0 + 4*j + 0*j**3. Let z(m) = 0. Calculate m.
-1, 1
Let g(r) = -3*r + 1. Let i be g(1). Let f = 0 - i. Factor b**2 + 0*b - 3*b**f - 2 - 4*b.
-2*(b + 1)**2
Suppose -5*o = -3*w - 23 + 2, o = w + 5. Let s(g) be the first derivative of 0*g - 1 + 1/4*g**2 + 1/12*g**6 + 0*g**o - 1/4*g**4 + 0*g**5. Factor s(y).
y*(y - 1)**2*(y + 1)**2/2
Let k(t) be the second derivative of -5*t**7/42 - t**6/6 + 3*t**5/4 + 25*t**4/12 + 5*t**3/3 - t. Factor k(x).
-5*x*(x - 2)*(x + 1)**3
Suppose -3*i = -3*f, -4*f = 5*i + f. Let u(k) be the third derivative of 0*k**6 + k**2 + 1/1344*k**8 + i*k**4 + 0 + 0*k + 0*k**7 + 0*k**5 + 0*k**3. Factor u(y).
y**5/4
Let r = 18 - 8. Let w be 9/r - (-4)/(-10). Find c such that 0 + 1/2*c + w*c**2 = 0.
-1, 0
Suppose -2*h = -3*h + 4. Let o(l) = -8*l**3 + 11*l**2 - 16*l. Let m(j) = 17*j**3 - 21*j**2 + 33*j - 1. Let p(n) = h*m(n) + 9*o(n). Factor p(f).
-(f - 2)**2*(4*f + 1)
Let h = -6 - -2. Let f be h/(-2)*2/6. Solve -2/3*i**4 + 0 + 0*i - f*i**3 + 0*i**2 = 0.
-1, 0
Let k(v) = -v**4 - 2*v**3 + 3*v**2 - 4*v - 4. Let i(r) = 3*r**4 + 6*r**3 - 8*r**2 + 11*r + 11. Let t(l) = 4*i(l) + 11*k(l). Factor t(m).
m**2*(m + 1)**2
Let x(l) be the third derivative of -l**9/7560 + l**8/3360 + l**7/630 + l**4/24 + l**2. Let m(d) be the second derivative of x(d). Find c such that m(c) = 0.
-1, 0, 2
Let j(y) be the second derivative of 0*y**2 + 1/18*y**3 + 1/60*y**5 - 1/18*y**4 - 2*y + 0. Determine x, given that j(x) = 0.
0, 1
Determine o, given that -2/5*o - 4/5*o**4 + 8/5*o**3 + 4/5*o**2 + 0 - 6/5*o**5 = 0.
-1, 0, 1/3, 1
Let z be 14/3 + 1 + -5. Determine i so that -2/3*i**2 + 4/3 - z*i = 0.
-2, 1
Let u(i) be the first derivative of -i**7/420 - i**6/60 - i**5/20 - i**4/12 + i**3/3 + 1. Let t(v) be the third derivative of u(v). Factor t(c).
-2*(c + 1)**3
Let h(l) = 23*l**3 + 3*l**2 - 20*l - 17. Let k = -6 + 14. Let s(a) = -a + a**2 - 6*a + k*a**3 - 4 - 2. Let b(v) = -6*h(v) + 17*s(v). Factor b(f).
-f*(f + 1)*(2*f - 1)
Factor -9/5*s + 6/5*s**3 - 9/5*s**4 + 3/5*s**5 + 6/5*s**2 + 3/5.
3*(s - 1)**4*(s + 1)/5
Let y(m) be the third derivative of m**6/600 - m**5/100 + 2*m**3/15 - 34*m**2. Determine g so that y(g) = 0.
-1, 2
Suppose -5*b + 3 = 5*t - 2, 0 = -t + 5*b - 23. Let l = t - -5. Factor 12*u**3 + u**4 + 3*u**l - 11*u**3 - 3*u**2.
u**3*(u + 1)
Let r(d) be the first derivative of -16*d**6/105 - 12*d**5/35 - d**4/42 + 2*d**3/7 - d**2/7 + d + 5. Let t(j) be the first derivative of r(j). Factor t(h).
-2*(h + 1)**2*(4*h - 1)**2/7
Let s(b) be the third derivative of b**6/540 - b**5/270 + 4*b**2. Factor s(x).
2*x**2*(x - 1)/9
Let s(j) be the second derivative of j**4/4 + 2*j**3 + 6*j**2 - j. Factor s(r).
3*(r + 2)**2
Let v(s) = -s**5 + s**4 - s**3 - s**2 - s + 1. Let w(q) = 4*q**5 - 7*q**4 + 4*q**3 + 5*q**2 + 5*q - 5. Let g(r) = -5*v(r) - w(r). Factor g(m).
m**3*(m + 1)**2
Suppose 0 = -2*w - 7 + 11. Let 0 + 1/2*i + i**w + 1/2*i**3 = 0. Calculate i.
-1, 0
Let g be 713/(2/((-6)/(-21))). Let s = -101 + g. What is t in 8/7*t**2 + s*t - 2/7 = 0?
-1, 1/4
Let d(k) be the third derivative of 2/9*k**3 + 0*k + 5*k**2 - 1/180*k**6 + 0 + 1/12*k**4 + 0*k**5. Solve d(j) = 0 for j.
-1, 2
Factor 1 + 19*w**2 - 6*w**2 + 2 + 7*w**3 - 2*w**3 + 11*w.
(w + 1)**2*(5*w + 3)
Let i(t) be the first derivative of -2*t**3/3 - 5*t**2 + 12*t + 21. Factor i(m).
-2*(m - 1)*(m + 6)
Let j = -7 + 12. Let -26 - 7*z**2 + 32*z**4 - 32*z**j + 6*z**3 + z + 26 = 0. Calculate z.
-1/2, 0, 1/4, 1
Let y(h) be the second derivative of -1/9*h**7 - 5/3*h**5 + 0 - 5/3*h**3 + 20/9*h**4 + 2/3*h**2 + 2*h + 2/3*h**6. Factor y(d).
-2*(d - 1)**4*(7*d - 2)/3
Let g(q) be the third derivative of -2*q**7/525 + q**5/25 + q**4/15 - 22*q**2. Determine t so that g(t) = 0.
-1, 0, 2
Let x = 1/23 + 131/161. Factor 0 + x*h**2 + 2/7*h**4 + 6/7*h**3 + 2/7*h.
2*h*(h + 1)**3/7
Let p(k) be the third derivative of -7*k**6/240 + 19*k**5/120 + k**4/8 + 20*k**2. Factor p(v).
-v*(v - 3)*(7*v + 2)/2
Factor -5/6*o**3 + 15/2 - 25/2*o + 35/6*o**2.
-5*(o - 3)**2*(o - 1)/6
Let m = 227/264 + -9/11. Let h(s) be the third derivative of -1/60*s**5 + 0*s + 0 + m*s**4 + 0*s**3 + s**2. Factor h(g).
-g*(g - 1)
Suppose -2 + 21*n - 2*n**2 + 17*n**2 + 3*n**3 + 11 = 0. Calculate n.
-3, -1
Let z(g) be the first derivative of -g**4/8 + g**3/6 + g**2/4 - g/2 + 2. Factor z(t).
-(t - 1)**2*(t + 1)/2
Suppose 2*l + 10 = -4*s, s = 4*l - 29 + 13. Let h be (-81)/(-18)*2/3. Factor -u**l + 0*u**3 + 2*u + 2*u**h - 3*u**3.
-2*u*(u - 1)*(u + 1)
Let u(d) be the third derivative of d**7/630 + d**6/180 - d**5/15 - d**4/4 + 3*d**3/2 - 16*d**2 + d. Factor u(j).
(j - 3)*(j - 1)*(j + 3)**2/3
Let c(k) be the first derivative of 2*k**3/9 + 8*k**2/3 + 32*k/3 - 6. Factor c(h).
2*(h + 4)**2/3
Let s(a) = -5 - 7*a - 7*a**2 + 2 + 3. Let v(w) = -3*w**2 - 3*w. Let f(u) = 2*s(u) - 5*v(u). Factor f(q).
q*(q + 1)
Let i(p) be the first derivative of 2*p**6/9 - 4*p**5/3 + 3*p**4 - 28*p**3/9 + 4*p**2/3 - 19. Factor i(l).
4*l*(l - 2)*(l - 1)**3/3
Let k be 8/20 + 18/5. Let d(s) be the first derivative of 1/8*s**k - 4 + 1/2*s**3 + 0*s + 1/2*s**2. Factor d(a).
a*(a + 1)*(a + 2)/2
Let c(u) be the first derivative of -3*u**5/35 - 15*u**4/28 + 13*u**3/7 - 3*u**2/2 - 7. Factor c(j).
-3*j*(j - 1)**2*(j + 7)/7
Let a(t) = -t**5 - t**4 + t**2 - t + 1. Let i(o) = -16*o**5 - 16*o**4 - 2*o**3 + 16*o**2 - 18*o + 18. Let b(y) = 36*a(y) - 2*i(y). Factor b(z).
-4*z**2*(z - 1)*(z + 1)**2
Let s(u) = -2*u + 19 - 15 + 16. Let c be s(10). Let 2/7*q**3 - 6/7*q + c*q**2 - 4/7 = 0. Calculate q.
-1, 2
Suppose 0 = 5*a + 7 + 3. Let r(b) = -2*b**3 - 5*b**2 + 3*b + 9. Let m(i) = -i**3 - 5*i**2 + 3*i + 9. Let n(h) = a*r(h) + 3*m(h). Factor n(v).
(v - 3)**2*(v + 1)
Let g(b) be the third derivative of 0*b - 6*b**2 + 1/6*b**4 + 0 + 1/105*b**7 + 0*b**3 - 1/30*b**5 - 1/30*b**6. Factor g(l).
2*l*(l - 2)*(l - 1)*(l + 1)
Let y(h) be the first derivative of h**6/42 + 3*h**5/35 - 4*h**3/21 + 1. Suppose y(k) = 0. Calculate k.
-2, 0, 1
Let u(v) be the second derivative of -v**6/195 - v**5/65 + 2*v**4/39 + 8*v**3/39 + 17*v. Find y such that u(y) = 0.
-2, 0, 2
Solve 26 - 3*n - 7*n**2 - 36 - 12*n + 2*n**2 = 0 for n.
-2, -1
Let w(d) be the second derivative of 3/20*d**5 - 1/45*d**6 - 3*d + 0*d**2 + 0 - 1/14*d**7 + 0*d**3 + 1/18*d**4. What is v in w(v) = 0?
-1, -2/9, 0, 1
Let b be (-12 + 13)*0/(-2). Let d(q) be the second derivative of -1/10*q**5 - 1/21*q**7 + 0*q**3 + 0 + 2*q + 2/15*q**6 + b*q**4 + 0*q**2. Factor d(p).
-2*p**3*(p - 1)**2
Let s(t) = -t - 1. Let b(y) = -5*y**2 - 36*y + 29. Let w(x) = b(x) - 6*s(x). Solve w(i) = 0.
-7, 1
Let 0 - 1/4*a**3 + 0*a**2 + 0*a = 0. Calculate a.
0
Let v = 331 - 4963/15. Let r(z) be the first derivative of 0*z**2 + 3 - v*z**5 + 0*z**3 + 1/6*z**4 + 0*z. Suppose r(h) = 0. Calculate h.
0, 1
Let t(f) be the first derivative of -2*f + 1/8*f**3 - 1/80*f**5 + 1/4*f**2 + 2 + 0*f**4. Let c(d) be the first derivative of t(d). What is b in c(b) = 0?
-1, 2
Find w, given that 0 + 1/3*w**2 + 2/3*w = 0.
-2, 0
Factor -a**4 - 9*a**3 - 2*a**4 - 93*a**2 + 120*a**2 - 15*a.
-3*a*(a - 1)**2*(a + 5)
Suppose 5*n = 4*n + 5. Factor -d**5 + 2*d + 2*d**2 - 2*d**3 - 3*d**4 + d + 1 + 0*d**n.
-(d - 1)*(d + 1)**4
Let d be ((-11)/88)/((-3)/4). Factor -1/6*j + 1/6 - d*j**2 + 1/6*j**3.
(j - 1)**2*(j + 1)/6
Suppose 3*v - 3*v = 3*v. Factor v - 4*f + 5/2*f**4 + 14*f**2 - 11*f**3.
f*(f - 2)**2*(5*f - 2)/2
Suppose -4*c = -5*j - 2*c + 20, -4 = 3*j + 2*c. Let y be 1/((-3)/(-18)*2). Factor 0*n**4 + 2*n**4 + 2*n**j + 2*n - 4*n**2 - 2*n**y.
2*n*(n - 1)**2*(n + 1)
Let g(b) be the second derivative of -5*b**4/72 - 5*b**3/9 + 5*b**2 - 39*b - 1. What is i in g(i) = 0?
-6, 2
Let z(c) be the third derivative of 17/540*c**6 + 0*c + 11/108*c**4 + 0 - 7/90*c**5 - 1/189*c**7 - c**2 - 2/27*c**3. Factor z(w).
-2*(w - 1)**3*(5*w - 2)/9
Let a be (1*3)/(63/84). Let 9/5*s**3 + 4/5*s**a + 0 + 1/5*s - 12/5*s**5 - 6/5*s**2 = 0. What is s?
-1, 0, 1/3, 1/2
Let o be 3/(-15)*(-5)/24. Let i(f) be the second derivative of 0 + o*f**4 + 1/2*f**2 + 1/4*f**3 + f. Let i(m) = 0. Calculate m.
-2, -1
Let l be (-