/6*p**2 + 0. Factor z(y).
-(y - 2)*(y + 1)/6
Let l be (4/(-6))/((-3)/(-9)). Let q be ((-5)/l)/((-10)/(-8)). Factor -4/3*o**q + 1/3*o**3 + 4/3*o + 0.
o*(o - 2)**2/3
Let m(s) be the third derivative of s**7/5040 + s**4/6 - 2*s**2. Let d(u) be the second derivative of m(u). Find f such that d(f) = 0.
0
Suppose 34/5*w**2 + 2*w**3 + 12/5*w + 0 = 0. Calculate w.
-3, -2/5, 0
Determine f so that 0 + 1/3*f**2 - 1/2*f + 1/6*f**3 = 0.
-3, 0, 1
Let k(d) be the first derivative of -4*d**5/5 + 8*d**3/3 - 4*d + 9. What is n in k(n) = 0?
-1, 1
Let a be (-1086)/(-30) - 1/5. Let n be a/21*2/2. Factor 2/7*i**5 + 0 + 2/7*i + 8/7*i**2 + n*i**3 + 8/7*i**4.
2*i*(i + 1)**4/7
Suppose -2*l - 2/3*l**3 - 2/3 - 2*l**2 = 0. Calculate l.
-1
Let v(x) = -3*x**5 - x**4 - x**3 + 3*x**2 + 2*x + 2. Let a(t) = t**5 + t**3 - t**2 - t - 1. Let n(c) = -6*a(c) - 3*v(c). Factor n(u).
3*u**2*(u - 1)*(u + 1)**2
Let p(b) = 2*b - b - 4 - 2*b. Let u be p(-4). Let u + 3/2*g**2 + g - 5/2*g**3 = 0. Calculate g.
-2/5, 0, 1
Let b(u) = 2*u - 5. Let f be b(4). Let a(v) be the second derivative of -1/54*v**4 - 4/9*v**2 - v + 0 - 4/27*v**f. Let a(w) = 0. Calculate w.
-2
Let c(y) be the third derivative of 1/20*y**5 + 0*y**6 + 0 + 4*y**2 - 1/70*y**7 + 0*y**3 - 1/16*y**4 + 1/224*y**8 + 0*y. Factor c(p).
3*p*(p - 1)**3*(p + 1)/2
Let j = 8 - 1. Let z(o) be the second derivative of 0*o**2 + 0 + 1/30*o**4 + 0*o**3 - 1/75*o**6 + 1/50*o**5 - 2*o - 1/105*o**j. Factor z(p).
-2*p**2*(p - 1)*(p + 1)**2/5
Let r be 2/(-9)*(-13 - -4). What is t in 1/4*t**5 + 5/4*t**3 - 1/2*t**r + 0*t - t**4 + 0 = 0?
0, 1, 2
Let a(u) be the second derivative of -u**7/105 - u**6/15 - u**5/5 - u**4/3 - u**3/3 + 3*u**2/2 + u. Let i(c) be the first derivative of a(c). Factor i(w).
-2*(w + 1)**4
Factor 1318*z - 1319*z - z**2 + 6*z**3 - 2*z**2 + 8*z**4.
z*(z + 1)*(2*z - 1)*(4*z + 1)
Let -7 + 132*h - 137*h - 3 + 5*h**2 = 0. Calculate h.
-1, 2
Let o(f) be the third derivative of -f**5/60 - f**2. Suppose o(v) = 0. Calculate v.
0
Let l = -299/3 + 103. Factor 4/3 + 2*f - l*f**2.
-2*(f - 1)*(5*f + 2)/3
Suppose 3*h - 3 = n - 22, n = 2*h + 14. Let a = h + 11. Let c(b) = b**2 + 1. Let j(f) = -8*f**2 + 4*f - 8. Let g(o) = a*c(o) + j(o). What is w in g(w) = 0?
1
Factor 8*t**2 + 1 - 3*t - 2*t + t**3 - 9*t**2 + 4*t.
(t - 1)**2*(t + 1)
Find d such that 2*d**2 - d**4 - 3*d**5 + 2*d**5 - 4*d**2 + d**3 + 3*d**2 = 0.
-1, 0, 1
Let i(f) be the second derivative of 0 - 1/15*f**3 + 3/2*f**2 - 1/150*f**5 - 1/30*f**4 + 2*f. Let j(v) be the first derivative of i(v). Factor j(h).
-2*(h + 1)**2/5
Let w(a) be the second derivative of 7*a**6/30 + 3*a**5/5 + a**4/4 - a**3/3 + 6*a. Factor w(r).
r*(r + 1)**2*(7*r - 2)
Let t be (-96)/(-180) - 2/10. Let k(i) be the first derivative of 0*i**2 + 0*i**4 + t*i**3 - 1/5*i**5 + 0*i - 1. Factor k(a).
-a**2*(a - 1)*(a + 1)
Let l = 41 - 25. Let j = -6 + l. Factor w**2 + j - 10.
w**2
Let h(t) be the third derivative of 0*t**4 + 1/630*t**7 + 0*t + 1/18*t**3 + 0*t**6 - t**2 - 1/90*t**5 + 0. Factor h(p).
(p - 1)**2*(p + 1)**2/3
Let r(x) = 2*x**2 - x + 4. Let q be r(-3). Suppose 6*a - 4*a = 5*j - 20, 0 = 4*j + 5*a + 17. Factor 5*m + q*m**j + 8*m - 5*m**2 + 2.
(4*m + 1)*(5*m + 2)
Solve 14*y + 6557 - 6557 + y**2 = 0 for y.
-14, 0
Let i(y) be the first derivative of -y**5/10 + y**3/3 - 3*y + 1. Let n(x) be the first derivative of i(x). Factor n(v).
-2*v*(v - 1)*(v + 1)
Suppose 4*w - m - 13 = 0, -1 = -4*w + 5*m - 0. Factor -2/7*c**5 + 0*c - 2/7*c**2 + 2/7*c**w + 0 + 2/7*c**3.
-2*c**2*(c - 1)**2*(c + 1)/7
Let w(k) be the third derivative of k**8/168 - 4*k**7/105 + k**6/60 + 7*k**5/15 - 5*k**4/3 + 8*k**3/3 + 8*k**2. Suppose w(i) = 0. Calculate i.
-2, 1, 2
Factor -4/5*c + 3/5*c**2 - 4/5 - 1/5*c**4 + 2/5*c**3.
-(c - 2)**2*(c + 1)**2/5
Suppose 0 = 2*p + 5 - 13. Factor 5*b**p + 0*b**2 - 6*b**3 - 2*b**5 + 2*b**2 + b**4 + 0*b**2.
-2*b**2*(b - 1)**3
Let k be 4/6*(-4)/32*-4. Suppose 0 - 2/3*m + 1/3*m**4 - k*m**5 + m**3 - 1/3*m**2 = 0. Calculate m.
-1, 0, 1, 2
Factor 8*l**2 + 12*l**3 + 0*l**4 + 5*l**4 - l**4.
4*l**2*(l + 1)*(l + 2)
Suppose 5*h + 10 = 5*c, 2*c + 4*h + 3 - 13 = 0. Let i(f) be the second derivative of 3*f + 1/6*f**c + 0*f**2 + 0 + 1/6*f**4. Factor i(x).
x*(2*x + 1)
Let o(n) = -17*n**3 + n**2 - n - 1. Let z be o(-1). What is l in 11*l**2 - 3 - 5*l**2 - 15*l - z*l**2 = 0?
-1, -1/4
Let i(k) be the third derivative of 0*k + 5*k**2 + 0*k**5 + 1/105*k**7 + 0*k**3 + 1/120*k**6 + 0*k**4 + 1/336*k**8 + 0. Suppose i(h) = 0. What is h?
-1, 0
Suppose 8/13 + 34/13*u**2 + 10/13*u**3 + 32/13*u = 0. What is u?
-2, -1, -2/5
Let l(g) be the second derivative of g**5/4 + 25*g**4/12 - 20*g**3/3 - 120*g**2 + 38*g. Factor l(c).
5*(c - 3)*(c + 4)**2
Let g(f) be the first derivative of f**4/6 - 2*f**3/3 + f**2 + 7*f + 1. Let p(t) be the first derivative of g(t). What is j in p(j) = 0?
1
Let j be -3 + ((-21)/(-4) - 18/72). Let -5/2*s**4 - 7/2*s**5 - s + 9/2*s**3 + 5/2*s**j + 0 = 0. What is s?
-1, 0, 2/7, 1
Let p(f) be the second derivative of -3*f + 0*f**2 + 1/20*f**5 + 1/42*f**7 - 1/15*f**6 + 0*f**4 + 0*f**3 + 0. Factor p(g).
g**3*(g - 1)**2
Let b = 55/2 - 163/6. Let b*t - 4/3*t**4 - 4/3*t**2 + 1/3*t**5 + 0 + 2*t**3 = 0. What is t?
0, 1
Let n(p) be the first derivative of p**6/120 + p**3 - 3. Let b(i) be the third derivative of n(i). Factor b(c).
3*c**2
Solve -1/10*o**3 + 0*o + 1/10*o**4 + 0 - 1/5*o**2 = 0.
-1, 0, 2
Let l(n) be the second derivative of n**4/12 - n**3/2 + 2*n**2 - 4*n. Let u(w) = -w**2 + 3*w - 3. Let f(g) = 3*l(g) + 4*u(g). What is p in f(p) = 0?
0, 3
Factor -2/17*z**5 - 16/17*z + 10/17*z**3 + 2/17*z**2 + 8/17 - 2/17*z**4.
-2*(z - 1)**3*(z + 2)**2/17
Let h(l) be the third derivative of 11/480*l**6 + 0 + 0*l**4 + 0*l**3 + 1/192*l**8 + 0*l + l**2 + 2/105*l**7 + 1/120*l**5. Solve h(v) = 0 for v.
-1, -2/7, 0
Let n(u) be the second derivative of -25*u**7/56 + 3*u**6/4 + 33*u**5/80 - 3*u**4/4 - u**3/2 + 5*u. Suppose n(f) = 0. Calculate f.
-2/5, 0, 1
Let m = 11 + -7. Suppose 2*g - 7*g = 5, 0 = 4*b + 4*g + m. Factor b*r + 0 - 2/5*r**2 - 2/5*r**3.
-2*r**2*(r + 1)/5
Let k(g) = -g**3 - 13*g**2 + 12*g - 28. Let j be k(-14). Let 1/5*l + j + 1/5*l**2 = 0. What is l?
-1, 0
Suppose 7*g - 472 = 3*g. Let d = -346/3 + g. Determine l so that 22/3*l**4 + d*l - 6*l**2 + 8*l**5 - 76/9*l**3 + 8/9 = 0.
-1, -1/4, 2/3
Let b(w) be the third derivative of -2/195*w**5 + 0 - 7*w**2 - 1/39*w**6 + 0*w + 0*w**4 - 23/1365*w**7 + 0*w**3 - 1/312*w**8. What is v in b(v) = 0?
-2, -1, -2/7, 0
Let y(t) be the second derivative of -t**6/105 - t**5/35 - t**4/42 - 8*t. Factor y(q).
-2*q**2*(q + 1)**2/7
Suppose -6/7 + 4/7*g + 2/7*g**2 = 0. Calculate g.
-3, 1
Let r(u) be the first derivative of 1 - 1/2*u**2 - 2/3*u**3 - 1/4*u**4 + 0*u. Factor r(w).
-w*(w + 1)**2
Factor 3*i - 40*i**3 - 5*i + 5*i + 3*i**5 + 34*i**3.
3*i*(i - 1)**2*(i + 1)**2
Let v be (-9)/3 + -2 + 8. Factor -2*x**4 - 4 + 3 + 1 - 4*x**v.
-2*x**3*(x + 2)
Let l be 8/20 - 16/(-10). Let o(z) be the second derivative of 2*z + 0 + 1/2*z**4 - z**3 - 1/10*z**5 + z**l. Determine d, given that o(d) = 0.
1
Suppose u - 3 = -3*k, 4 = u - 3*u + 4*k. Factor 2/3*s**4 + u*s - 4/3*s**2 + 2/3 + 0*s**3.
2*(s - 1)**2*(s + 1)**2/3
Suppose 0 = 5*v - 2*h + 78, 3*h - 86 + 4 = 5*v. Let c(w) = w**2 + 12*w - 25. Let y be c(v). Factor 0 + 0*z + 3/2*z**2 + 3/4*z**4 - 9/4*z**y.
3*z**2*(z - 2)*(z - 1)/4
Let 7*x + 31*x - 10*x + 120*x**2 - 8 = 0. Calculate x.
-2/5, 1/6
Let g(n) be the first derivative of n**4/2 - 8*n**3 + 48*n**2 - 128*n - 7. Factor g(q).
2*(q - 4)**3
Let y(o) be the third derivative of -3*o**7/70 - o**6/40 + 3*o**5/20 + o**4/8 - o**2 - 3*o. Suppose y(i) = 0. What is i?
-1, -1/3, 0, 1
Let h(r) be the third derivative of r**7/42 - r**6/24 + 9*r**2. Solve h(a) = 0.
0, 1
Let z be (-368)/186 + -2 + 4. Let j = z + 29/93. Factor 1/3*k - j*k**3 + 1/3 - 1/3*k**2.
-(k - 1)*(k + 1)**2/3
Factor 4/5*j**2 + 2/5*j + 0 + 2/5*j**3.
2*j*(j + 1)**2/5
Let u(j) be the third derivative of j**11/221760 - j**9/20160 + j**7/3360 - j**5/60 + 2*j**2. Let p(t) be the third derivative of u(t). Factor p(f).
3*f*(f - 1)**2*(f + 1)**2/2
Let k be ((-1)/(-3*4))/((-3)/(-6)). Let y(l) be the second derivative of -l + 0 + 1/36*l**4 + k*l**3 + 1/3*l**2. Solve y(a) = 0 for a.
-2, -1
Determine x, given that -3/5*x**5 + 3*x**4 - 12/5 - 21/5*x**3 + 24/5*x - 3/5*x**2 = 0.
-1, 1