of -49*c**3 + 42*c**2 - 12*c - 1. Find f such that g(f) = 0.
2/7
Let m(c) be the second derivative of c**8/1680 - c**7/420 - c**6/90 + c**5/15 - 5*c**3/6 - c. Let h(v) be the second derivative of m(v). Factor h(n).
n*(n - 2)**2*(n + 2)
Suppose 2*s = -3*l - 3*s + 26, 5*l - 4*s = -6. Factor -6*f**3 + 7*f**l + 8*f**2 - 27 + 3*f**3 - 9*f.
-3*(f - 3)**2*(f + 1)
Let b(m) be the second derivative of m**7/21 - 19*m**6/15 + 29*m**5/5 + 149*m**4/3 + 341*m**3/3 + 121*m**2 + 11*m. Factor b(r).
2*(r - 11)**2*(r + 1)**3
Let h(s) be the second derivative of 125*s**7/56 + 65*s**6/24 + 3*s**5/8 - 3*s**4/4 - s**3/3 + 5*s. Factor h(n).
n*(3*n - 1)*(5*n + 2)**3/4
Let c be 2/(-3) + (-52)/(-39). Factor -2/3*u**2 - c*u**3 + 2/3*u + 2/3.
-2*(u - 1)*(u + 1)**2/3
Let d be (-12719)/539 + 2/(-7). Let t = d - -171/7. Solve 4/11*a**2 + 0 - t*a**3 + 2/11*a = 0.
-1/3, 0, 1
Let k(v) be the third derivative of v**9/60480 + v**8/20160 - v**5/30 + 3*v**2. Let t(x) be the third derivative of k(x). Factor t(h).
h**2*(h + 1)
Let b(i) = -5*i**4 + 48*i**3 - 432*i**2 + 1725*i - 2589. Let a(c) = 19*c**4 - 192*c**3 + 1728*c**2 - 6901*c + 10357. Let x(z) = 6*a(z) + 22*b(z). Factor x(f).
4*(f - 6)**4
Let x = -128 + 644/5. Factor -2/5 - x*s + 2/5*s**4 + 4/5*s**3 + 0*s**2.
2*(s - 1)*(s + 1)**3/5
Let w = 41 - 37. Let p(l) be the third derivative of -1/420*l**6 + 0*l**w + 1/735*l**7 + 0 + l**2 + 0*l**3 + 0*l**5 + 0*l. Find i such that p(i) = 0.
0, 1
Factor 3/8*g - 1/8*g**2 + 0.
-g*(g - 3)/8
Factor 3*c + c - 17*c**2 + 12*c**3 + 5*c**2 - 3*c**4 - c**4.
-4*c*(c - 1)**3
Let o(g) be the third derivative of g**7/280 - g**6/160 - g**5/40 - 17*g**2. Solve o(a) = 0.
-1, 0, 2
Factor 3/7*z + 9/7*z**2 + 3/7*z**4 + 9/7*z**3 + 0.
3*z*(z + 1)**3/7
Let r(m) = -20*m**2 + 60*m - 25. Let g(b) = -5*b**2 + 15*b - 6. Let d(i) = -15*g(i) + 4*r(i). Suppose d(l) = 0. What is l?
1, 2
Let v(g) be the third derivative of 4*g**7/525 + g**6/300 - 2*g**5/75 - g**4/60 + 5*g**2. Suppose v(u) = 0. Calculate u.
-1, -1/4, 0, 1
Let n(g) = 2*g + 18. Let i be n(-7). Solve 0 - 3/2*t**3 - 3/2*t**2 + t**i + t = 0 for t.
-1, 0, 1/2, 2
Let t(a) = -a**3 - a + 2. Let p(g) = g**3 + g**2 + g - 1. Let r(n) = -2*p(n) - t(n). Factor r(q).
-q*(q + 1)**2
Let a(w) = -2 + 4*w**2 + 4*w - 4*w**2 + w**2 + 0. Let i be a(-5). Find d, given that -7*d**2 - 3*d**i + 3*d + d**2 + 6 + 0 = 0.
-2, -1, 1
Let n be -3 + 1 + (477/45 - 7). Find r such that -n - 10*r**2 - 8*r = 0.
-2/5
Let c = 9 + -6. Suppose s - c = -1. Let -2*a**5 + 2*a**3 + 8*a**4 - 7*a**3 - 2*a + 8*a**s - 7*a**3 = 0. What is a?
0, 1
Let r = -369 + 371. Let 2/5*d**r - 8/5*d + 8/5 = 0. What is d?
2
Let w(t) = -7*t**3 + 150*t**2 - 1502*t + 5002. Let f(x) = -155*x**3 + 3300*x**2 - 33045*x + 110045. Let i(p) = 2*f(p) - 45*w(p). Solve i(r) = 0 for r.
10
Let 66*j**2 + 242/5*j**3 + 8/5 + 96/5*j = 0. Calculate j.
-1, -2/11
Let l(m) be the second derivative of -m**5/180 - m**4/36 - m**3/18 - 3*m**2/2 + 2*m. Let v(y) be the first derivative of l(y). Factor v(d).
-(d + 1)**2/3
Let r(f) be the second derivative of -f**7/98 - f**6/35 - 3*f**5/140 + 5*f. Determine a so that r(a) = 0.
-1, 0
Suppose 12 = d + d. Factor 0*n + 4*n + 1 + n**2 - d*n.
(n - 1)**2
Let x(l) = -15*l**3 - 24*l**2 - 24*l - 15. Let w(o) = -8*o**3 - 12*o**2 - 12*o - 8. Let f(j) = 7*w(j) - 4*x(j). Suppose f(v) = 0. Calculate v.
-1
Suppose 0 = -5*n + 51 + 4. Suppose -3*u**2 + 13*u - 8 - n + 7 - u = 0. Calculate u.
2
Let z(d) = -d**2 + 3*d + 3. Let b(w) = -w**3 + w**2 - 1. Let v(p) = -4*b(p) - 4*z(p). Find n such that v(n) = 0.
-1, 2
Let y(b) be the third derivative of 0*b - 10*b**2 - 1/21*b**3 + 0 - 3/245*b**7 - 1/210*b**6 + 1/21*b**5 + 5/1176*b**8 - 1/28*b**4. Find c, given that y(c) = 0.
-1, -1/5, 1
Let o(z) = 8*z**4 + 4*z**3 - 4*z**2. Let v(g) = -9*g**4 - 4*g**3 + 5*g**2. Let c(u) = -7*o(u) - 6*v(u). Solve c(y) = 0 for y.
-1, 0
Let k(l) be the second derivative of 7/3*l**3 - 1/21*l**7 - 2*l**2 - 4/3*l**4 + 1/5*l**5 + 3*l + 2/15*l**6 + 0. Factor k(a).
-2*(a - 1)**4*(a + 2)
Let f(o) be the second derivative of -o**8/1008 + o**7/315 - o**6/360 - 3*o**2/2 + 4*o. Let w(g) be the first derivative of f(g). Suppose w(t) = 0. What is t?
0, 1
Let p(l) be the third derivative of 0*l**5 + 0*l**6 + 0*l - 1/28*l**8 + 0 + 1/70*l**7 + 6*l**2 + 0*l**3 + 0*l**4. Factor p(n).
-3*n**4*(4*n - 1)
Suppose 6*v = 2*v + 20. Let b(z) be the second derivative of 0 + 0*z**2 + 1/90*z**6 - z + 0*z**3 + 1/36*z**4 - 1/30*z**v. Factor b(w).
w**2*(w - 1)**2/3
Let h(q) = -q**3 + 20*q**2 + 21*q + 3. Let z be h(21). Find c such that 3/2*c + 1/2*c**z + 1/2 + 3/2*c**2 = 0.
-1
Suppose 2*j - 15 = -2*z - j, 2*j - 35 = -3*z. Let 5*b**4 - b**5 + 9*b**4 - z*b**4 = 0. What is b?
-1, 0
Let u = 16 - 23. Let a(o) = 2*o**2 + 9*o + 5. Let y be a(u). Suppose -y*p**5 + 2*p - 4*p**2 - 14*p**4 + 22*p**3 - 2*p = 0. What is p?
-1, 0, 1/4, 2/5
Let q(l) = 6*l**5 - 6*l**4 + 40*l**3 - 20*l**2. Let a(o) = 7*o**5 - 5*o**4 + 41*o**3 - 19*o**2. Let k(s) = 5*a(s) - 6*q(s). Factor k(g).
-g**2*(g - 5)**2*(g - 1)
Let x(j) be the first derivative of -j**4/6 + j - 1. Let i(w) be the first derivative of x(w). Find n such that i(n) = 0.
0
Suppose q - 3 = 2. Factor -8*s**3 - 3*s**q - 9*s**4 - 4*s**3 + 6*s**3.
-3*s**3*(s + 1)*(s + 2)
Let k(x) = -2*x - 15. Suppose 3*o + 12 + 18 = 0. Let c be k(o). Factor -c + 2*s**2 - 3 + 4 + 2*s.
2*(s - 1)*(s + 2)
Suppose -5*k + 2*k = -9. Determine o, given that 0*o - 4*o**3 + 4*o**3 + 3*o - 3*o**k + 6*o**2 - 6 = 0.
-1, 1, 2
Let l(p) = -p**4 - p**3 + p**2. Let w(d) = 15*d**3 - 10*d**2. Let c(r) = 5*l(r) + w(r). Solve c(k) = 0 for k.
0, 1
Let d = -3/200 - -29/600. Let j(l) be the first derivative of -1/12*l**2 - 1/8*l**4 + 0*l + d*l**5 + 1/6*l**3 - 1. Factor j(s).
s*(s - 1)**3/6
Let t(j) be the second derivative of j**7/294 + j**6/210 - j**5/70 + 6*j. Factor t(a).
a**3*(a - 1)*(a + 2)/7
Factor 1/4*g**4 + 0*g**3 - 1/4*g**2 + 0*g + 0.
g**2*(g - 1)*(g + 1)/4
Let s = -10 + 10. Let w(y) be the third derivative of s + 0*y**4 + 1/120*y**5 + 0*y + y**2 + 0*y**3. Factor w(c).
c**2/2
Let p(z) be the first derivative of z**6/160 - 3*z**4/32 - z**3/4 - z**2 - 2. Let j(k) be the second derivative of p(k). Find s such that j(s) = 0.
-1, 2
Let o(q) be the first derivative of 2/7*q + 0*q**2 - 2/21*q**3 + 3. Solve o(u) = 0 for u.
-1, 1
Let b(n) = -n**5 + n**4 + 1. Let s(a) = -18*a**5 + 9*a**4 + 3*a**3 + 6*a**2 + 15. Let m(o) = -15*b(o) + s(o). Find u, given that m(u) = 0.
-2, -1, 0, 1
Let b(y) = -15*y**4 - 25*y**3 + 35*y**2 + 25*y - 25. Let l(v) = -7*v**4 - 12*v**3 + 18*v**2 + 12*v - 13. Let o(c) = 2*b(c) - 5*l(c). Factor o(j).
5*(j - 1)**2*(j + 1)*(j + 3)
Let w = 64/3 - 85/4. Let i(g) be the third derivative of 0 + 0*g + 1/30*g**5 - 1/180*g**6 + 1/9*g**3 - 2*g**2 - w*g**4. Factor i(m).
-2*(m - 1)**3/3
Let q(x) = -8*x**3 + 14*x**2 - 14*x - 6. Let z(o) = 7*o**3 - 13*o**2 + 13*o + 5. Let p be (13 + 1 + -4)/(-2). Let i(v) = p*q(v) - 6*z(v). Factor i(k).
-2*k*(k - 2)**2
Let d = -491/3 + 165. Let a = -86 + 260/3. Factor d*j + 2/3*j**2 + a.
2*(j + 1)**2/3
Let j(u) be the second derivative of u**2 + 2*u + 0*u**3 + 1/24*u**4 + 0 + 1/60*u**5. Let v(b) be the first derivative of j(b). Factor v(z).
z*(z + 1)
Let b(v) be the third derivative of 0*v - 1/4*v**4 + 0 - 3*v**2 + 1/60*v**5 + 1/80*v**6 - 2/3*v**3. Suppose b(a) = 0. Calculate a.
-2, -2/3, 2
Let o(c) be the second derivative of -c**8/30240 - c**7/11340 + c**6/3240 + c**5/540 + c**4/6 + 3*c. Let u(l) be the third derivative of o(l). Factor u(v).
-2*(v - 1)*(v + 1)**2/9
Suppose -3*o + 286 = 13. Let a be (-9)/(-15) - o/(-140). Factor -a*r**3 - r + 0 + 3*r**2.
-r*(r - 2)*(5*r - 2)/4
Let h = -45 + 226/5. Let j(g) be the second derivative of -2*g + 0 + h*g**2 + 1/60*g**4 + 1/10*g**3. Factor j(y).
(y + 1)*(y + 2)/5
Suppose 8 = -m + k + k, m = -2*k - 16. Let j be (m/9)/(6/(-9)). Factor -1/4*b**4 + 0 - 1/4*b + 1/4*b**j + 1/4*b**3.
-b*(b - 1)**2*(b + 1)/4
Suppose 6 - 1 = -5*x. Let g be 4/((0 - x) + 1). Factor -3*z**2 - 2 - 4*z + 5*z**g + 4.
2*(z - 1)**2
Let y = -318 - -8588/27. Let o(i) be the second derivative of -y*i**3 + i - 1/54*i**4 + 0*i**2 + 0. Factor o(n).
-2*n*(n + 2)/9
Let d(b) = 3*b**4 - 27*b**3 - 39*b**2 - 33*b - 18. Let y(c) = c**4 - c**3 + c**2 + c - 1. Let j(w) = d(w) - 6*y(w). Find u, given that j(u) = 0.
-4, -1
Suppose 2*s - 2*z - 8 = -4, 5