(-48)/64)/(6/(-32)). Let n(t) be the second derivative of -1/10*t**5 + 0*t**z + t**3 - 2*t**2 - t + 0. Factor n(h).
-2*(h - 1)**2*(h + 2)
Let z(x) = -x**2 - 11*x - 18. Let p be z(-9). Let j(b) be the second derivative of -b + 0*b**4 + p*b**2 - 1/9*b**3 + 0 + 1/30*b**5. Let j(y) = 0. Calculate y.
-1, 0, 1
Factor -17*s**4 - 12 - 3*s**5 - 21*s - 25*s**4 + 6*s**2 + 24*s**3 + 48*s**4.
-3*(s - 4)*(s - 1)*(s + 1)**3
Let k(f) be the third derivative of f**10/151200 + f**9/30240 + f**8/20160 + f**5/20 + 4*f**2. Let s(t) be the third derivative of k(t). Factor s(z).
z**2*(z + 1)**2
Let y = -94 + 97. Factor 4/11*g**2 + 2/11*g**y - 2/11*g - 4/11.
2*(g - 1)*(g + 1)*(g + 2)/11
Let v = -764 - -766. Factor 0*o**3 + 3/4*o**5 + 0 - 3/2*o**4 + 3/2*o**v - 3/4*o.
3*o*(o - 1)**3*(o + 1)/4
Suppose -1/4*p**2 + 0*p + 1/4 = 0. Calculate p.
-1, 1
Let f(i) be the second derivative of -3*i**5/40 + i**4/2 - i**3 - 26*i. Factor f(w).
-3*w*(w - 2)**2/2
Suppose -5*k + 0*v + v = -29, -2*v = 5*k - 32. Suppose 3*l + k = -2*b, b + l + 2 = 6*b. Factor b*h - 1/5*h**2 + 0.
-h**2/5
Let k(x) = x**3 + 2*x**2 + 11*x + 5. Let t(m) = -2*m - 1. Let l(n) = -k(n) - 5*t(n). What is i in l(i) = 0?
-1, 0
Suppose -2/3*z**5 + 0 + 8/3*z**2 - 4*z**3 - 2/3*z + 8/3*z**4 = 0. Calculate z.
0, 1
Let t(u) = -4*u**2 - 2*u + 1 + 6 + 2*u + 2*u. Let n(q) = -q**2 + q + 1. Let g(k) = 5*n(k) - t(k). Suppose g(b) = 0. What is b?
1, 2
Let r(u) be the first derivative of u**3/12 + 2*u**2 + 16*u + 16. Determine w so that r(w) = 0.
-8
Suppose 11*i - 4*i = 0. Factor i*u**2 + 0 + 0*u + 1/3*u**5 + 2/3*u**4 + 1/3*u**3.
u**3*(u + 1)**2/3
Let p(k) be the third derivative of -k**8/336 + k**7/210 + k**6/120 - k**5/60 - 2*k**2. Determine i so that p(i) = 0.
-1, 0, 1
Factor 24*h**2 + 31*h**2 + 35*h**3 - 55*h**2 - 5*h**4.
-5*h**3*(h - 7)
Find m, given that -5*m - 4 - 1 - 3*m**2 - 7*m - 7 = 0.
-2
Let q(x) be the first derivative of 2*x**5/15 - x**4/2 + 2*x**3/3 - x**2/3 - 4. Factor q(g).
2*g*(g - 1)**3/3
Factor 1/5*k**5 - 4/5*k - 4/5*k**2 + 3/5*k**3 + 0 + 4/5*k**4.
k*(k - 1)*(k + 1)*(k + 2)**2/5
Suppose 2*c + 8 = 3*l + 24, 3*c = -l + 2. Let v(b) be the first derivative of -1/8*b**4 - 7/20*b**5 + 1/4*b**c + 7/12*b**3 + 0*b + 2. Let v(r) = 0. Calculate r.
-1, -2/7, 0, 1
Let p(u) = 5*u**5 - 16*u**4 - 3*u**3 + 7*u**2 + 16*u. Let a(z) = 2*z**5 - 8*z**4 - 2*z**3 + 4*z**2 + 8*z. Let s(y) = -9*a(y) + 4*p(y). Solve s(k) = 0.
-2, -1, 0, 1
Let a(h) be the second derivative of -2187*h**5/80 - 243*h**4/8 - 27*h**3/2 - 3*h**2 + h. Suppose a(d) = 0. What is d?
-2/9
Let m be 14 - (-2)/(3 + -4). Let x be 15/(-9)*m/(-10). Solve 3/2*s**x + 0 - 3/2*s**4 + 2*s**5 - 5/2*s**3 + 1/2*s = 0 for s.
-1, -1/4, 0, 1
Suppose 21 - 1 = -4*g + h, -g - 3*h = 18. Let d be -12*(8/g + 1). Let 2/3*a**2 - 1/3 - 1/3*a**d + 0*a + 0*a**3 = 0. Calculate a.
-1, 1
Let p = -26 - -26. Let m(c) be the second derivative of 0*c**2 + 1/48*c**4 - 1/12*c**3 + c + 1/80*c**5 + p. Factor m(y).
y*(y - 1)*(y + 2)/4
Let n(y) be the third derivative of -2/3*y**3 + 0*y**4 - 6*y**2 + 1/60*y**5 + 0*y + 0. Find p, given that n(p) = 0.
-2, 2
Let q(o) be the second derivative of o**5/20 + o**4/12 - o**3/6 - o**2/2 + 6*o. Solve q(h) = 0 for h.
-1, 1
Let k(p) be the third derivative of p**6/40 + p**5/20 - 3*p**2. Find d, given that k(d) = 0.
-1, 0
Let k(f) be the first derivative of -2*f**5/55 + 5*f**4/22 - 16*f**3/33 + 4*f**2/11 - 4. Factor k(o).
-2*o*(o - 2)**2*(o - 1)/11
Let y be 0*(-5 + -1 + 5). Factor -1/5*p + 0 + 1/5*p**3 + y*p**2.
p*(p - 1)*(p + 1)/5
Let t(f) be the second derivative of 0 - 17/10*f**5 - 2/5*f**6 - 6*f + 8/3*f**2 + 4/3*f**3 - 13/9*f**4. Find k such that t(k) = 0.
-2, -2/3, 1/2
Solve -24*n**3 + 7*n**3 + 12*n**3 + 5*n**2 = 0 for n.
0, 1
Suppose 0 = -6*x + x + 5*k, -k = 4*x. Let c(y) be the first derivative of -1/4*y**4 + 0*y - 1 + x*y**2 - 1/3*y**3. Factor c(o).
-o**2*(o + 1)
Let f(m) be the first derivative of -4/13*m + 7/13*m**2 + 2 + 20/13*m**3. What is g in f(g) = 0?
-2/5, 1/6
Let g(h) be the first derivative of 0*h**2 + 0*h**3 + 2/35*h**5 + 3 + 0*h - 1/14*h**4. Factor g(o).
2*o**3*(o - 1)/7
Let a(y) = 2*y**3 - 8*y**2 + 5. Let i be a(4). Let x(s) be the third derivative of -1/4*s**3 - 3/16*s**4 + 0*s - 1/20*s**i + 0 - 4*s**2. Factor x(k).
-3*(k + 1)*(2*k + 1)/2
Determine j, given that 1/8*j**4 + 0 + 0*j + 1/8*j**3 - 1/4*j**2 = 0.
-2, 0, 1
Suppose t = 3*t - 8. Let m(f) be the first derivative of -1/16*f**t - 1/4*f - 3/8*f**2 - 1 - 1/4*f**3. Factor m(d).
-(d + 1)**3/4
Let u = -3/1477 + 1492/7385. Find r such that -u*r**2 + 0 - 1/5*r**3 + 0*r = 0.
-1, 0
Let p = 2021/1680 + -1/336. Let h be (-12)/3 - 52/(-10). Let p*b**2 + 2/5*b - h*b**4 - 2*b**3 + 0 + 8/5*b**5 = 0. Calculate b.
-1, -1/4, 0, 1
Let r(w) be the first derivative of 4*w**5/25 - 17*w**4/20 + 8*w**3/5 - 13*w**2/10 + 2*w/5 - 14. Determine c, given that r(c) = 0.
1/4, 1, 2
Factor -3*p**2 + 7*p + 0 - p**3 - 1 - 10*p.
-(p + 1)**3
Let c(f) = -f**3 + 8*f**2 - 7*f + 2. Let y be c(7). Let d(v) = -v**2 - 4*v. Let h be d(-2). Factor 3 - 3 - h*p - 2*p**y - 2.
-2*(p + 1)**2
Factor 16/7 - 4/7*f**2 - 12/7*f.
-4*(f - 1)*(f + 4)/7
Factor 2*w**3 + 32/7*w**2 - 12/7 - 34/7*w.
2*(w - 1)*(w + 3)*(7*w + 2)/7
Let i(y) = 6*y**2 - 6*y + 7. Let w(s) = -3*s**2 + 3*s - 4. Let n(l) = -4*i(l) - 7*w(l). Determine d, given that n(d) = 0.
0, 1
Let m(j) be the second derivative of -3/8*j**3 - 1/16*j**4 + 3*j + 9/80*j**5 + 3/8*j**2 + 0. Factor m(q).
3*(q - 1)*(q + 1)*(3*q - 1)/4
Suppose 12*k = 8*k. Suppose -a = -5*h + 22, h + 2*a = -k*a. What is o in 0 + o**3 + 1/2*o**2 + 0*o + 1/2*o**h = 0?
-1, 0
Let g be (-55)/(-6)*(-22)/(-5). Let c = -40 + g. Factor 0 + 1/3*s**4 - 1/3*s**5 + 0*s + c*s**3 - 1/3*s**2.
-s**2*(s - 1)**2*(s + 1)/3
Let h = 208 - 4991/24. Let c(y) be the third derivative of 0*y - 1/30*y**5 - y**2 - 1/60*y**6 + 1/336*y**8 + h*y**4 + 1/6*y**3 + 1/210*y**7 + 0. Factor c(f).
(f - 1)**2*(f + 1)**3
Solve -39*b**3 + 2 + 15*b + 7 + 4*b**2 + 36*b**3 - b**2 = 0.
-1, 3
Let 2/9*b**2 + 2 + 4/3*b = 0. Calculate b.
-3
Suppose -20 = -3*t - 8. Solve -2*l**4 + 3*l**5 + 14*l**3 + 8*l**4 + 3*l**t - 5*l**3 + 3*l**2 = 0.
-1, 0
Let l(h) = h**3 - 7*h**2 - 9*h + 10. Let b be l(8). Factor x**3 - x + x**4 - 4*x**b + 0*x**2 + 3*x**2.
x*(x - 1)*(x + 1)**2
Solve 1 - 13 - 6*s**2 + 0*s**2 - 12*s**2 - 27*s - 3*s**3 = 0 for s.
-4, -1
Let m(y) = -y**2 + 6*y + 18. Let p be m(8). Let a be (-26)/(-8) + p/(-8). Solve 0 + 1/4*i**a + 0*i**2 + 1/4*i**4 + 0*i = 0.
-1, 0
Suppose -2*f**3 + 5*f**3 - 28*f**2 + 7*f**3 + 4*f**3 + 8*f**4 + 6*f = 0. What is f?
-3, 0, 1/4, 1
Let z(k) = 7*k**5 - 8*k**4 - 4*k**2 - k. Let a(p) = 0*p**5 + p**2 + p**4 + 2*p**5 + 3*p**5 - 6*p**5. Let x(j) = -6*a(j) - z(j). Factor x(c).
-c*(c - 1)**3*(c + 1)
Solve -3/2 - 27/4*n - 9*n**2 - 15/4*n**3 = 0 for n.
-1, -2/5
Let f = -17/3 - -6. Let z(k) be the first derivative of -3 + 1/2*k**2 + 2*k - f*k**3. Factor z(m).
-(m - 2)*(m + 1)
Find f, given that 0*f**2 + 4*f**2 - 138 - 12*f + 4*f + 142 = 0.
1
Let c be 24/16*(-1)/(-9)*9. Suppose c*n - 3/2*n**2 + 3 = 0. What is n?
-1, 2
Factor -14*w - 52*w**3 + 28*w**4 + 5*w**5 - 11*w**5 + 3 - 8*w + 1 + 48*w**2.
-2*(w - 1)**4*(3*w - 2)
Let i(w) be the third derivative of w**8/6720 - w**7/2520 + w**4/6 - 5*w**2. Let t(m) be the second derivative of i(m). Factor t(h).
h**2*(h - 1)
Let r = 44 + -41. Let j(d) be the first derivative of -3 + 1/10*d**4 + 2/5*d**r + 0*d + 0*d**2. Factor j(p).
2*p**2*(p + 3)/5
Let i = 40 + -29. Factor -47*q**2 + 19*q**2 - 15*q + 27 + 63*q - i.
-4*(q - 2)*(7*q + 2)
Let l(o) be the second derivative of 2*o**6/15 - 7*o**5/5 + 7*o**4/3 + 10*o**3 + 9*o + 2. Factor l(k).
4*k*(k - 5)*(k - 3)*(k + 1)
Let k be (-24)/((-4)/8*2). Find g such that -g**3 + 7*g**3 - 4 + 6*g + k*g**2 + 8*g**3 = 0.
-1, 2/7
Let u(c) be the third derivative of -c**5/90 - c**4/18 - c**3/9 - 2*c**2. Factor u(o).
-2*(o + 1)**2/3
What is s in -1/6*s + 0 + 0*s**3 + 1/6*s**5 + 1/3*s**2 - 1/3*s**4 = 0?
-1, 0, 1
Let s(h) be the second derivative of 1/10*h**5 + 0 + 1/2*h**2 - 4*h + 1/6*h**4 - 1/10*h**6 + 1/42*h**7 - 1/2*h**3. Suppose s(r) = 0. Calculate r.
-1, 1
Let o(s) be the first derivative of 0*s - 3/2*s**4 - 14/15*s**3 - 18/25*s**5 - 1/5*s**2 + 1. Determine i so that o(i) = 0.
-1, -1/3, 0
Let l(v) be the third derivative of -1/66*v**4 - 7*v**2 + 1/33*v**3 + 0*v + 0 + 1/330*v**6 - 