 third derivative of -t**9/22680 + t**7/3780 - t**4/6 - t**2. Let z(i) be the second derivative of h(i). Factor z(q).
-2*q**2*(q - 1)*(q + 1)/3
Let s = -6 - -10. Let z(f) be the second derivative of -7/24*f**s + f + 1/5*f**5 + 0 + 1/6*f**3 - 1/20*f**6 + 0*f**2. Factor z(u).
-u*(u - 1)**2*(3*u - 2)/2
Let j(z) be the second derivative of -z**7/105 + 3*z**5/50 - z**4/15 - 7*z. Factor j(g).
-2*g**2*(g - 1)**2*(g + 2)/5
Let 1/2*f**5 + 1/2*f**3 + 0 + 0*f**2 + f**4 + 0*f = 0. Calculate f.
-1, 0
Let c be (-1 + 1 - 1)/((-2)/9). Factor -3/2*n**2 - 3 - c*n.
-3*(n + 1)*(n + 2)/2
Suppose 5*d - 5*z - 24 = -4, d + z = 0. Let h(i) be the third derivative of -1/18*i**4 - 1/180*i**5 + 0*i - 2/9*i**3 + 0 - i**d. Factor h(q).
-(q + 2)**2/3
Let f(q) be the second derivative of -q**9/7560 + q**8/4200 + q**3/3 + 5*q. Let t(j) be the second derivative of f(j). Suppose t(a) = 0. What is a?
0, 1
Determine z so that -45*z**4 + 99*z - 117*z**3 + 24 - 12*z**5 + 84*z**2 + 30*z**3 - 63*z**4 = 0.
-8, -1, -1/2, 1
Let w(d) be the second derivative of -5*d**4/36 + 2*d**3/9 + d**2/6 + 20*d. What is q in w(q) = 0?
-1/5, 1
Let b(i) be the third derivative of -i**7/42 + i**6/24 + i**5/6 + 11*i**2. Find h such that b(h) = 0.
-1, 0, 2
Let y = -10 + 15. Let p be y/(-1)*2/(-5). Factor 2*l - 2*l + 0*l - p*l**2.
-2*l**2
Let x(c) be the third derivative of -c**8/168 - c**7/35 + c**6/10 + c**5/3 - 7*c**4/4 + 3*c**3 - 2*c**2 - 2*c. Factor x(b).
-2*(b - 1)**3*(b + 3)**2
Let k = 44 + -66. Let l be (-104)/k - 3 - 1. Suppose 24/11*c**3 + l*c**2 + 0*c + 0 + 6/11*c**5 + 2*c**4 = 0. What is c?
-2, -1, -2/3, 0
Let y(u) be the third derivative of -u**8/1176 + u**7/735 + u**6/210 - u**5/105 - u**4/84 + u**3/21 + 2*u**2. Factor y(j).
-2*(j - 1)**3*(j + 1)**2/7
Let w = -101 + 104. Factor 0*t**w + 3/4*t**2 - 1/4*t**4 + 0 + 1/2*t.
-t*(t - 2)*(t + 1)**2/4
Let r = 97/7 + -2909/210. Let d(v) be the third derivative of 0 - 1/60*v**5 + 0*v**4 + 0*v - r*v**7 + 0*v**3 - 1/60*v**6 - v**2. Factor d(f).
-f**2*(f + 1)**2
Let b(i) be the second derivative of 1/6*i**4 + 0*i**2 + 1/6*i**3 - 6*i + 0 - 3/20*i**5. Let b(g) = 0. What is g?
-1/3, 0, 1
Let 11/4*p**2 - 1/4*p**5 + 9/4*p**3 + 1/4*p**4 + p + 0 = 0. What is p?
-1, 0, 4
Let q be (-1)/1*-3 - 0. Solve -4*k + 0*k**2 - 4*k**4 - 1 + 1 + 4*k**2 + 4*k**q = 0 for k.
-1, 0, 1
Let t(p) be the first derivative of -2*p**5/75 - p**4/30 + 17. Factor t(r).
-2*r**3*(r + 1)/15
Suppose -4*c - j - 2*j + 8 = 0, 0 = 3*j. Factor -6*v**2 - 4*v + 0*v + v**3 - c*v**2 - 5*v**3.
-4*v*(v + 1)**2
Suppose 44*i - 84 - 4 = 0. Factor 0 + 1/2*d + 5/4*d**4 + 9/4*d**3 + 7/4*d**i + 1/4*d**5.
d*(d + 1)**3*(d + 2)/4
Let y(g) be the second derivative of -3*g**5/140 + 3*g**3/14 + 3*g**2/7 + 7*g. Factor y(l).
-3*(l - 2)*(l + 1)**2/7
Let o(u) be the third derivative of 4/27*u**3 + 1/270*u**5 + 0 + 3*u**2 + 0*u + 1/27*u**4. Determine h so that o(h) = 0.
-2
Let i = 1 + 2. Let 4*h + i*h**3 - 11*h - 3*h**2 + 4*h + 3 + 0*h = 0. Calculate h.
-1, 1
Let v = 1369/4 + -342. Suppose 0*t + 6 = 3*t. Suppose -1/2*z + v + 1/4*z**t = 0. Calculate z.
1
Let h(z) be the first derivative of -21*z**5/20 + 69*z**4/16 - 3*z**3/2 - 21*z**2/2 + 6*z + 9. Find x, given that h(x) = 0.
-1, 2/7, 2
Factor 4*w**2 - 4*w - 190*w**3 + 98*w**3 + 91*w**3.
-w*(w - 2)**2
Let t be 2/(-8) - 42/(-8). Suppose g + 16 = t*g. Let -3*p - 2 - 12*p**2 + 2*p + 8*p**3 + 9*p - 2*p**g = 0. Calculate p.
1
Let n(v) be the third derivative of -v**6/1140 + v**4/76 + 2*v**3/57 - 43*v**2. Factor n(y).
-2*(y - 2)*(y + 1)**2/19
Let c = 21 + -14. Let a(b) be the second derivative of -1/168*b**c - 3/80*b**5 + 0*b**3 + 1/48*b**4 + 0 + 0*b**2 - 2*b + 1/40*b**6. Solve a(s) = 0 for s.
0, 1
Let 33*b**2 - 3*b - 9 + 19*b**2 - 13*b - 7 - 20*b**3 = 0. Calculate b.
-2/5, 1, 2
Let c(q) be the first derivative of 3 + 0*q + 1/9*q**3 + 1/6*q**2. Determine l, given that c(l) = 0.
-1, 0
Let x(b) be the first derivative of -b**6/3 - 16*b**5/5 - 12*b**4 - 64*b**3/3 - 16*b**2 - 3. Factor x(a).
-2*a*(a + 2)**4
Let q(g) be the first derivative of 3*g - 3*g**3 - 2 - 4*g**2 + g**2 + 4*g**3 - 1. Determine p, given that q(p) = 0.
1
Let g(v) be the third derivative of 5*v**8/336 - 2*v**7/21 + v**6/6 + v**5/6 - 25*v**4/24 + 5*v**3/3 + 8*v**2. Factor g(m).
5*(m - 2)*(m - 1)**3*(m + 1)
Let u = 16/19 + -13/38. Suppose a = -2*h + 12, -11 = -3*a - 3*h + 13. Let u*t**2 + 0*t - 2*t**3 + 0 + 3/2*t**a = 0. Calculate t.
0, 1/3, 1
Let t(i) be the second derivative of -1/10*i**5 - 2*i - 8/3*i**3 + 16*i**2 + 0 - 7/6*i**4. Factor t(s).
-2*(s - 1)*(s + 4)**2
Let b(v) be the second derivative of v**5/100 + v**4/30 + v**3/30 - 8*v. Suppose b(q) = 0. What is q?
-1, 0
Let f(s) = s**3 + 8*s**2 + 6*s - 4. Let q be f(-7). Factor p**2 - 2*p**2 + 3*p**3 - 5*p**3 + p**q.
-p**2*(p + 1)
Let s be (-60)/275 + (-1)/(-5). Let b = s - -167/110. Find i such that -3*i**2 + 15/4*i**5 + b - 15/2*i**3 + 15/4*i + 3/2*i**4 = 0.
-1, -2/5, 1
Let l = -5 + 7. Let z be 1 - l - (2 + -3). Factor -i**3 + 2*i + z*i**3 - i.
-i*(i - 1)*(i + 1)
Let k = 41 - 41. Let i(l) be the second derivative of -5/2*l**4 + 0 + k*l**2 - 15/8*l**5 - l**3 + 2*l. Factor i(o).
-3*o*(5*o + 2)**2/2
Let d(i) be the second derivative of -i**5/5 + i**4/3 + 2*i**3/3 - 2*i**2 + i + 2. Suppose d(q) = 0. Calculate q.
-1, 1
Find g such that 2/3*g**2 + 2*g + 0 = 0.
-3, 0
Let v(n) be the third derivative of -n**9/5040 + n**7/840 + n**4/12 + 5*n**2. Let b(g) be the second derivative of v(g). Factor b(y).
-3*y**2*(y - 1)*(y + 1)
Let b be 1/((-2)/(-3))*8. Let d be (14/b)/(-7)*-2. Factor 1/3*g + 1/3*g**2 - 1/3*g**3 - d.
-(g - 1)**2*(g + 1)/3
Let h = -11651/15 + 777. Determine d so that h*d**2 + 0 - 2/15*d**3 - 2/15*d = 0.
0, 1
Let r(h) = h**4 + h**3 + h + 2. Let x(g) = -4*g**4 + 2*g**3 - 6*g**2 - 7*g + 2. Let l(i) = -3*r(i) - x(i). Factor l(z).
(z - 2)**3*(z + 1)
Let u(l) be the third derivative of -7*l**5/40 + 15*l**4/8 - 2*l**3 + 4*l**2. Solve u(x) = 0.
2/7, 4
Let i(h) = -h**2 - 7*h - 5. Let q be i(-4). Factor -4*s**3 + q*s + s**3 - 7*s.
-3*s**3
Let g(v) be the second derivative of -2*v**5/5 - v**4/2 + v**3/3 - 15*v. Factor g(d).
-2*d*(d + 1)*(4*d - 1)
Let b(d) be the first derivative of 4*d**5/5 - 4*d**4 + 4*d**3 + 22. What is i in b(i) = 0?
0, 1, 3
Let j = 7 + -5. Suppose -2*d + 4 = y, -2*d + y + 17 = 3*d. Factor -p**3 + 5*p - 5*p - 2*p + 0*p**j - d*p**2.
-p*(p + 1)*(p + 2)
Let a(s) be the third derivative of 19*s**5/60 - 11*s**4/24 + 3*s**3 + 4*s**2. Let o(y) = -3*y**2 + 2*y - 3. Let n(u) = 6*a(u) + 39*o(u). Factor n(w).
-3*(w - 3)*(w - 1)
Suppose -3*j + 8*j - 45 = 0. Let c = -7 + j. Let -1/2 - y - 1/2*y**c = 0. What is y?
-1
Let u = 722 + -173279/240. Let g(r) be the third derivative of 0*r - 1/48*r**4 + u*r**6 + 0 + 1/120*r**5 + 0*r**3 - 1/420*r**7 - 2*r**2. Factor g(s).
-s*(s - 1)**2*(s + 1)/2
Let y(b) be the first derivative of 2 + 3/8*b**4 - 1/2*b**3 + 0*b + 0*b**2. Factor y(t).
3*t**2*(t - 1)/2
Let f(k) be the third derivative of 0 - 1/32*k**4 + 2*k**2 - 1/80*k**5 + 0*k**3 + 0*k. Factor f(g).
-3*g*(g + 1)/4
Let l(v) be the first derivative of -v**3/3 - v**2 - v + 3. Find y such that l(y) = 0.
-1
Find p, given that 2/7*p**3 + 0*p + 0 + 0*p**2 + 2/7*p**5 + 4/7*p**4 = 0.
-1, 0
Let q be (1 - 1)*3/6. Let o = 2 - q. Suppose -5 + u**o + 5 - 2*u + 1 = 0. What is u?
1
Let j(z) be the first derivative of z**6/1080 - z**5/90 + z**4/18 - 2*z**3/3 - 1. Let k(u) be the third derivative of j(u). Suppose k(x) = 0. Calculate x.
2
Factor 0 - 6/5*h + 8/5*h**2.
2*h*(4*h - 3)/5
Let i(b) be the third derivative of b**6/60 - 2*b**5/15 + 5*b**4/12 - 2*b**3/3 + 4*b**2. Suppose i(q) = 0. What is q?
1, 2
Let i(h) be the first derivative of 2*h**3/3 + h**2 - 4*h + 7. Factor i(n).
2*(n - 1)*(n + 2)
Let c(k) be the third derivative of -k**6/180 - k**5/18 - 2*k**4/9 - 4*k**3/9 - 24*k**2. Suppose c(z) = 0. Calculate z.
-2, -1
Let s(y) = 2*y**3 - 3*y**2 + 2*y - 2. Let m be s(2). Suppose -3*b = -8*b + 10. Find r, given that -3*r**2 - 2 - b + m*r + r**2 = 0.
1, 2
Let z(o) be the second derivative of -o**7/21 + 4*o**6/15 - 3*o**5/5 + 2*o**4/3 - o**3/3 + 4*o. Let z(y) = 0. What is y?
0, 1
Suppose 5*f = 364 - 14. Let z = -768/11 + f. Let 0 + 0*g - z*g**2 + 2/11*g**3 = 0. Calculate g.
0, 1
Suppose -7*t + 12 = -9. Solve 22/9*m**t + 2/9*m**5 + 4/9*m**2 + 4/3*m**4 - 8/3*m - 16/9 = 0.
-2, -1, 1
Let p be 