 the third derivative of f**8/6720 - f**6/720 + f**4/12 - 2*f**2. Let h(d) be the second derivative of w(d). Factor h(x).
x*(x - 1)*(x + 1)
Let d(f) be the second derivative of f**5/240 - f**4/16 + 3*f**3/8 + 3*f**2/2 - f. Let j(o) be the first derivative of d(o). Determine b so that j(b) = 0.
3
Determine z so that -11 + 9*z + 45 - 7 - 15*z**2 + 3*z**3 = 0.
-1, 3
Let h(d) be the second derivative of d**5/30 + d**4/4 + 2*d**3/3 + d**2/2 + d. Let v(x) be the first derivative of h(x). Find n, given that v(n) = 0.
-2, -1
Let s(i) = 5*i**3 + i**2 - 1. Let d be s(1). Let w be 4 + (d - -1)/(-3). Find t, given that 6*t + 2*t**2 - 4*t**3 - 2 - w + 2*t**4 - 2*t**3 = 0.
-1, 1, 2
Let o(t) be the first derivative of 1/18*t**4 + 6 - 1/9*t**2 + 2/9*t - 2/27*t**3. Find q such that o(q) = 0.
-1, 1
Suppose -y - 4 = -3*p, -8*y + 10*y + 8 = p. Factor p*b + 16/7*b**3 - 4/7*b**2 + 0.
4*b**2*(4*b - 1)/7
Let z(h) = 0 - h + 9*h - h - 1. Let l be z(1). Solve -4*w**3 + 3*w**3 - l*w**4 - 2*w**3 - w**3 = 0.
-2/3, 0
Let c(m) = -m**3 - 3*m**2 - 3*m - 2. Let l be c(-2). Suppose 0 = -w + 8 - l. Let 8*k + 8*k**2 - w*k**4 - 6*k**3 + 0*k**3 - 13*k**5 + 11*k**5 = 0. Calculate k.
-2, -1, 0, 1
Let q(h) be the first derivative of -1/100*h**5 + 1 - h - 1/6*h**3 - 1/15*h**4 - 1/5*h**2. Let v(k) be the first derivative of q(k). Factor v(d).
-(d + 1)**2*(d + 2)/5
Suppose -3*k + 3*n + 18 = 0, 4*n + 14 = -0*k - k. Factor 19*m**k + 6*m - 9*m**2 - 8*m**2.
2*m*(m + 3)
Let d(m) be the first derivative of 0*m + 1/12*m**3 - 2 + 1/8*m**2. Suppose d(x) = 0. What is x?
-1, 0
Let x(f) be the first derivative of 3*f**4/16 + f**3/4 + 19. Determine j, given that x(j) = 0.
-1, 0
Determine m so that 1/5*m**5 - 1/5*m + 0*m**3 + 0 + 2/5*m**2 - 2/5*m**4 = 0.
-1, 0, 1
Let o = 180 - 3599/20. Let t(v) be the third derivative of 11/72*v**4 + 1/9*v**3 + o*v**5 - v**2 + 0 + 0*v. Find p such that t(p) = 0.
-1, -2/9
Let r = -26 + 28. Solve 0*w - 4 - 12*w - 4*w**2 + 5*w**3 - 2*w**2 + 3*w**r = 0.
-1, -2/5, 2
Let l(p) be the first derivative of 3/2*p**2 - 1/12*p**4 + 0*p + 0*p**3 + 1/20*p**5 - 3 - 1/120*p**6. Let f(v) be the second derivative of l(v). Solve f(a) = 0.
0, 1, 2
Let q be (18/54)/((-5)/(-6)). Suppose -2/5 + 2/5*l**2 + 2/5*l - q*l**3 = 0. Calculate l.
-1, 1
Let o(k) be the first derivative of -k**4/36 + k**2/6 - 2*k - 2. Let w(j) be the first derivative of o(j). What is q in w(q) = 0?
-1, 1
Let p(x) = x**2 + 5*x - 62. Let l be p(6). Suppose 0*a**2 + 9/2*a**5 + 3/2*a**l - 3*a**3 + 0*a + 0 = 0. What is a?
-1, 0, 2/3
Let m = -2 + 0. Let k = 0 - m. Factor h**2 + 2*h**2 - 2*h**k.
h**2
Let s(o) be the second derivative of o**6/60 - o**5/30 - o**4/12 + o**3/3 - 2*o**2 + 2*o. Let a(p) be the first derivative of s(p). Suppose a(u) = 0. What is u?
-1, 1
Let j(p) be the second derivative of p**4/12 + p**3/3 - p**2/2 - 7*p. Let l(g) = -3*g**2 - 4*g + 2. Let r(w) = 5*j(w) + 2*l(w). Factor r(c).
-(c - 1)**2
Factor 8/5*s**4 + 0 + 2/5*s**5 + 8/5*s**2 + 2/5*s + 12/5*s**3.
2*s*(s + 1)**4/5
Let o(q) = -q**3 - q**2. Let r = -11 - -11. Let a be o(r). Factor -7/4*s**3 - 2*s**4 + a*s + 0 - 3/4*s**5 - 1/2*s**2.
-s**2*(s + 1)**2*(3*s + 2)/4
Let z(r) be the second derivative of r**5/300 - r**3/30 + 7*r**2/2 - 4*r. Let x(o) be the first derivative of z(o). Factor x(p).
(p - 1)*(p + 1)/5
Let v(s) = 3*s**2 + 2*s. Let i be v(0). Solve -2/7*w**3 - 4/7*w**2 + i*w + 0 = 0 for w.
-2, 0
Let s(d) be the second derivative of 0 - 6*d - 2*d**2 + d**3 - 1/6*d**4. Factor s(w).
-2*(w - 2)*(w - 1)
Factor -1/4*g**4 + 1/4*g**5 + 5/4*g**2 - 1/2*g + 0 - 3/4*g**3.
g*(g - 1)**3*(g + 2)/4
Solve -2*v + 6*v**4 - 9*v**3 - 6 - 3*v**2 + 6*v + 5*v + 3 = 0 for v.
-1, 1/2, 1
Let a(o) = -3*o**4 + 3*o**3 - 3*o**2 - o. Let w(b) = 10*b**4 - 9*b**3 + 9*b**2 + 4*b. Let p(i) = -21*a(i) - 6*w(i). What is u in p(u) = 0?
0, 1
Suppose 1 = h + t + 3, 12 = -h - 3*t. Solve 6 + 6*k - 13 + 10 + h*k**2 = 0.
-1
Let u(l) = -l - 3. Let f be u(-5). Factor -3*m**5 - 4*m + f*m**5 + 9*m**2 + 5*m**2 + 6*m**4 - 2*m**2 - 13*m**3.
-m*(m - 2)**2*(m - 1)**2
Factor 16/7 - 20/7*z + 4/7*z**2.
4*(z - 4)*(z - 1)/7
Let h(x) = -x + 6. Let c be h(3). Let v be (6/(-2))/3 + 3. Suppose 16/7 + 12/7*r**v - 2/7*r**c - 24/7*r = 0. What is r?
2
Let g(u) be the third derivative of 0*u**4 + 7/40*u**6 - 1/10*u**5 + 0*u + 0 + 3/112*u**8 + 0*u**3 - 4/35*u**7 + 8*u**2. Factor g(h).
3*h**2*(h - 1)**2*(3*h - 2)
Let i(w) be the first derivative of -3*w**4/4 - w**3 + 6*w**2 + 12*w - 59. Suppose i(c) = 0. What is c?
-2, -1, 2
Let u(b) = -4*b**2 + 44*b - 24. Let y(l) = -l**2 + 15*l - 8. Let o(w) = 3*u(w) - 8*y(w). Let o(p) = 0. What is p?
1, 2
Suppose -37*f + 3*u = -36*f + 13, u - 7 = -f. Find a such that 8/3*a - 16/3 - 1/3*a**f = 0.
4
Let y(v) = 69*v**4 + 241*v**3 + 210*v**2 + 50*v - 21. Let l(n) = -14*n**4 - 48*n**3 - 42*n**2 - 10*n + 4. Let s(g) = -22*l(g) - 4*y(g). Factor s(u).
4*(u + 1)**3*(8*u - 1)
Suppose 0 = -2*i + 3*v + v + 32, -2*i + 33 = -3*v. Let r be (-2)/8 - i/(-8). Factor -m - 2*m**3 + 0*m**2 + 5*m - r*m**2.
-2*m*(m - 1)*(m + 2)
Let k be 1/(-4) + 162/(-112). Let u = -9/8 - k. Suppose -18/7 - 2/7*i**4 + 24/7*i - 8/7*i**3 + u*i**2 = 0. Calculate i.
-3, 1
Let k(b) be the first derivative of 1/3*b**4 + 0*b**2 + 2 - 2*b + 1/3*b**3 + 1/10*b**5. Let g(r) be the first derivative of k(r). Solve g(h) = 0.
-1, 0
Suppose 2*b = -b + 7*b. Let n(a) be the second derivative of -3*a + 1/48*a**4 + b + 0*a**2 + 1/24*a**3. Factor n(t).
t*(t + 1)/4
Factor -10/3*x**4 - 2/3*x**5 - 20/3*x**2 - 10/3*x - 2/3 - 20/3*x**3.
-2*(x + 1)**5/3
Let x(k) be the first derivative of -k**4/30 - k**3/5 - 2*k**2/5 + 4*k - 1. Let z(n) be the first derivative of x(n). Factor z(y).
-2*(y + 1)*(y + 2)/5
Let o(j) be the third derivative of 0*j**3 + 1/12*j**4 + 0 - 1/15*j**5 + 1/60*j**6 + 0*j + j**2. Suppose o(x) = 0. What is x?
0, 1
Let o be (-45)/(-130) - 10/(-65). Let i be 2 + 1 + 1 + -2. Factor 0*j + o - 1/2*j**i.
-(j - 1)*(j + 1)/2
Let z(q) be the first derivative of 0*q + 3*q**3 + 3/2*q**2 + 3/5*q**5 + 8 + 9/4*q**4. Factor z(a).
3*a*(a + 1)**3
Let l(y) be the first derivative of -3*y**5/5 - 3*y**4 - 4*y**3 - 4. Factor l(c).
-3*c**2*(c + 2)**2
Let m(n) = 2*n - n**2 - 3*n + 6*n**2. Let u(f) = 14*f**2 - 4*f. Let z(b) = -16*m(b) + 5*u(b). Factor z(o).
-2*o*(5*o + 2)
Let w be (24/10)/(6/(-40)). Let q(i) = 10*i - 4 + 10*i**2 + 0*i**2 + 16*i**2. Let o(d) = -5*d**2 - 2*d + 1. Let j(x) = w*o(x) - 3*q(x). What is h in j(h) = 0?
-2, 1
Let v(l) be the second derivative of -1/20*l**5 - l**3 + 4*l - l**2 + 0 + 3/8*l**4. Let y(a) be the first derivative of v(a). Factor y(m).
-3*(m - 2)*(m - 1)
Let j be 2/(-14) + 3/(4 - -17). What is u in 0 + 1/4*u**2 - 1/2*u**3 + 1/4*u**4 + j*u = 0?
0, 1
Suppose -r = -1 - 1. Determine t, given that 0*t - 4/5*t**3 + 0 + 12/5*t**5 - 2/5*t**2 + r*t**4 = 0.
-1, -1/3, 0, 1/2
Let b be 2 - (0/3 - 1). Find m, given that 13*m + 1 - 13*m - 2*m**b - 3*m**2 = 0.
-1, 1/2
Let d = -733301/259924 + -2/9283. Let b = -18/7 - d. Factor b + 3/4*r**2 - 3/4*r - 1/4*r**3.
-(r - 1)**3/4
Let k = 1472/6543 - 2/727. Factor -2/9*j**2 + k*j + 4/9.
-2*(j - 2)*(j + 1)/9
Let l(w) be the second derivative of -w**6/165 - w**5/110 + 5*w**4/66 - w**3/11 - 6*w. Determine i, given that l(i) = 0.
-3, 0, 1
Factor 45*f**3 + 6*f + 11*f**2 + 44*f**2 + 4*f.
5*f*(f + 1)*(9*f + 2)
Let k(i) be the second derivative of 0 + 2/7*i**2 + 1/42*i**4 - 1/7*i**3 + 3*i. Find f such that k(f) = 0.
1, 2
Suppose 10*j = 6*j. Let s(r) be the second derivative of 1/6*r**4 + 4*r - r**3 + 2*r**2 + j. Factor s(f).
2*(f - 2)*(f - 1)
Let k = 16 - 7. Let m(p) = 3*p - 27. Let b be m(k). Suppose 0*l + b + 1/4*l**2 - 1/4*l**4 + 1/4*l**5 - 1/4*l**3 = 0. Calculate l.
-1, 0, 1
Let g(c) = -c**3 - c + 1. Let x(s) = 5 + s**3 - 6*s**3 - 3*s + 0*s**3 - s**2. Let y(o) = -4*g(o) + x(o). Factor y(u).
-(u - 1)*(u + 1)**2
Let l(w) be the first derivative of -w**4/4 + 4*w**3/3 + w**2/2 - 4*w + 34. Find m such that l(m) = 0.
-1, 1, 4
Let c(a) be the second derivative of 0*a**4 - 1/6*a**2 + a + 0 + 1/9*a**3 + 1/90*a**6 - 1/30*a**5. Solve c(t) = 0 for t.
-1, 1
Find k such that -1/5*k**4 - 1/5*k**2 + 0 - 2/5*k**3 + 0*k = 0.
-1, 0
Let x(q) be the second derivative of -6*q + 0*q**5 + 4/165*q**6 - 1/22*q**4 + 1/33*q**3 + 0*q**2 + 0. Let x(p) = 0. What is p?
-1, 0, 1/2
Let o(n) be the second derivative of -n**4/3