hird derivative of -1/1512*d**8 + g*d**5 - 1/945*d**7 + 0*d**3 + 0*d + 1/540*d**6 + 0 - d**2 + 0*d**4. Factor a(b).
-2*b**2*(b - 1)*(b + 1)**2/9
Determine a so that 9*a - 4*a + 4*a - 4*a + 5*a**2 - 10 = 0.
-2, 1
Let k(y) be the second derivative of -y**7/525 - y**6/300 + y**5/150 + y**4/60 - y**2/2 - y. Let w(g) be the first derivative of k(g). Factor w(l).
-2*l*(l - 1)*(l + 1)**2/5
Let t(v) be the first derivative of 6 + 1/10*v**4 + 2/25*v**5 - 2/15*v**3 - 1/5*v**2 + 0*v. Find b such that t(b) = 0.
-1, 0, 1
Let c(d) be the first derivative of d**8/1008 - d**6/180 + d**4/72 - 7*d**2/2 + 6. Let i(h) be the second derivative of c(h). Suppose i(w) = 0. What is w?
-1, 0, 1
Suppose -3 = -3*i + 3. Let q(f) be the first derivative of 2/5*f**5 - 7/2*f**4 + 1 + 7/2*f**2 + 7/6*f**6 - 4/3*f**3 + i*f. What is b in q(b) = 0?
-1, -2/7, 1
Let q be (24/30)/4 - (-1)/(-5). Let a(g) be the second derivative of -1/105*g**6 + 1/42*g**4 + 0*g**2 + 1/70*g**5 + q - 1/147*g**7 - 2*g + 0*g**3. Factor a(i).
-2*i**2*(i - 1)*(i + 1)**2/7
Let b(s) be the second derivative of 0*s**2 - 1/6*s**3 + 0 - 1/12*s**4 - 4*s. Suppose b(a) = 0. What is a?
-1, 0
Suppose -41 + 117 = 2*o. Suppose -m + 4*s = 1 + 13, 3*m + 4*s = o. Factor -2*y**4 + 4*y**4 + m*y**2 + 0*y**4 - 6*y**3 - 2*y.
2*y*(y - 1)**3
Let -33/7*s**4 - 72/7*s**3 + 3*s**2 + 12/7 + 72/7*s = 0. What is s?
-2, -1, -2/11, 1
Let f = 623 - 619. Suppose -256/5*x**f + 112/5*x**5 - 68/5*x**2 + 204/5*x**3 + 0 + 8/5*x = 0. Calculate x.
0, 2/7, 1/2, 1
Let o = 565/3 + -186. Factor 2/3*a + o*a**2 + 0.
a*(7*a + 2)/3
Let s be 48/(-18)*(-21)/(-4). Let p = s + 16. Find d such that 0*d**2 - p*d**4 + 0*d - 1/2*d**5 + 0 - 2*d**3 = 0.
-2, 0
Suppose -8*h + 4*h + 4 = 0. Let p be (h - (-8)/5) + -1. Determine a, given that p*a + 0 - 16/5*a**2 - 2*a**3 = 0.
-2, 0, 2/5
Let m(c) = -3*c + 6. Let b be m(-6). Let v be (-4)/3*(-27)/b. Factor -11/4*w**3 + 9/4*w**5 + w - w**2 + 0 + v*w**4.
w*(w + 1)**2*(3*w - 2)**2/4
Let x(q) = -5*q - 30. Let t be x(-6). Determine k, given that 0*k**3 + 0*k + 2/11*k**2 + t - 2/11*k**4 = 0.
-1, 0, 1
Let t(l) = -5*l**2 - 5*l - 8. Let b(a) = 2*a**2 + 2*a + 3. Let r(h) = 8*b(h) + 3*t(h). Factor r(i).
i*(i + 1)
Let i(r) be the second derivative of r**6/135 - 2*r**5/45 + r**4/27 + 4*r**3/27 - r**2/3 + 11*r. Determine o so that i(o) = 0.
-1, 1, 3
Determine c, given that -2*c**2 - 16*c**3 - 14*c**4 + 11*c**2 + 10*c**5 - c**2 = 0.
-1, 0, 2/5, 2
Suppose -3*k - 2*k + 30 = 3*b, 5*k - 20 = -b. Solve -6*f**4 - 2*f**3 - 2*f**2 + 2*f**4 + 0*f**2 + 8*f**k = 0 for f.
0, 1/2, 1
Let r(c) be the second derivative of -c**6/360 - c**5/60 - c**4/24 + c**3/3 + 3*c. Let a(h) be the second derivative of r(h). Solve a(w) = 0.
-1
Determine y so that 2 + 4*y**2 + 15*y + 3*y**2 - 3*y**2 + 3*y**2 = 0.
-2, -1/7
Factor 2*q**4 + q**3 - 3*q**3 - 2*q**4 - 2*q**4.
-2*q**3*(q + 1)
Let p(y) be the third derivative of -y**8/100800 - y**7/25200 - y**5/12 + 3*y**2. Let j(i) be the third derivative of p(i). Let j(s) = 0. Calculate s.
-1, 0
Let q(h) = -h - 6. Let g be q(0). Let i be (9/g)/(6/(-8)). Determine b so that 0*b**i - 2*b**5 + 5*b**3 - 3*b**3 + 2*b**4 - 2*b**2 = 0.
-1, 0, 1
Let w(r) = -r**3 + 5*r**2 - 5*r + 5. Let j be w(4). Let s = j + 1. Factor -f**s + f - f**2 + f**3 + 0*f**2.
f*(f - 1)**2
Factor 6*k**2 + 10/3*k**3 + 14/3*k + 4/3 + 2/3*k**4.
2*(k + 1)**3*(k + 2)/3
Find h, given that -1/3*h**5 + 0*h**3 + 2/3*h**2 + 1/3*h - 2/3*h**4 + 0 = 0.
-1, 0, 1
Let c be (9 + -4)/(-10) + 1. Suppose c + 7*w**2 + 8*w**3 + 3*w + w**5 + 9/2*w**4 = 0. What is w?
-1, -1/2
Let f be (-12)/(-3) - 10/(4 + 1). Factor 12/11*d + 2/11 + 18/11*d**f.
2*(3*d + 1)**2/11
Let y(n) = -2*n**2 + 4. Let i be y(-2). Let c = 6 + i. Factor -2/7*f**c + 2/7*f**3 + 0 - 2/7*f**5 + 0*f + 2/7*f**4.
-2*f**2*(f - 1)**2*(f + 1)/7
Let d(z) be the third derivative of z**8/2520 - z**7/1260 + z**3/3 - z**2. Let k(b) be the first derivative of d(b). Factor k(x).
2*x**3*(x - 1)/3
Let x(l) be the third derivative of l**8/16800 - l**7/3150 + l**6/1800 - l**4/8 + 2*l**2. Let i(j) be the second derivative of x(j). Factor i(v).
2*v*(v - 1)**2/5
Let o(z) be the second derivative of -z**8/15120 + z**7/11340 + z**6/3240 + z**4/6 + 2*z. Let g(p) be the third derivative of o(p). Factor g(u).
-2*u*(u - 1)*(2*u + 1)/9
Determine o, given that 0*o**4 + 0*o**2 + 0*o + 0 + 2/13*o**3 - 2/13*o**5 = 0.
-1, 0, 1
Let k(f) be the second derivative of -f**6/120 + f**4/48 - 19*f. Factor k(d).
-d**2*(d - 1)*(d + 1)/4
Let u = 1278 + -1276. Find p such that 3/5*p**u + 48/5 - 24/5*p = 0.
4
Let z(f) be the third derivative of -3*f**2 - 1/24*f**4 - 1/180*f**5 - 1/9*f**3 + 0*f + 0. Factor z(l).
-(l + 1)*(l + 2)/3
Let l be (-6)/(-21)*(0 + 21/9). Let i be 7/(3 - (1 + -1)). Let -16/3*x**4 + 0*x + i*x**5 - l*x**2 + 11/3*x**3 + 0 = 0. What is x?
0, 2/7, 1
Let p = -5 - -7. Find f, given that -1 - 4*f + 15*f**p - f**3 - 5*f**4 + 4*f**3 - 3 - 5*f**3 = 0.
-2, -2/5, 1
Let f(n) be the third derivative of -n**5/12 - 5*n**4/24 - 14*n**2. Factor f(l).
-5*l*(l + 1)
Let j(l) be the second derivative of -1/30*l**6 + 1/3*l**3 + 0 + 3*l + 1/6*l**5 - 1/3*l**4 + 1/2*l**2. Let t(r) be the first derivative of j(r). Factor t(i).
-2*(i - 1)**2*(2*i - 1)
Let r(z) = z**2 + 8*z - 20. Let o be r(-10). Determine s so that 0 - 1/4*s**3 + o*s**2 + 1/4*s = 0.
-1, 0, 1
Let q(r) be the first derivative of -r**4/20 + r**3/5 - 4*r/5 + 5. Factor q(f).
-(f - 2)**2*(f + 1)/5
What is u in -4*u - 54*u**3 - 29*u**4 - 14*u**5 + 15*u**4 - 32*u**4 - 26*u**2 = 0?
-1, -2/7, 0
Let h be (1/3)/((-3)/(-18)). Let n be (-12)/(-18)*(1 + h). Factor g**n - g + 2*g**2 - 2*g**2.
g*(g - 1)
Let r(b) be the third derivative of b**5/60 - b**4/12 + 5*b**2. Factor r(q).
q*(q - 2)
Suppose -4*m - 5*b - 17 = 0, 5*b = 3*m + 15 - 46. Determine r, given that 9*r + 2 - 2*r**m - 11*r - 2 = 0.
-1, 0
Let q(w) be the third derivative of w**8/112 - w**6/20 + w**4/8 + 16*w**2. Factor q(a).
3*a*(a - 1)**2*(a + 1)**2
Let s = 26 + -23. Suppose c + o = -o + 12, 0 = 4*c + 4*o - 32. Factor -d**c - s*d**5 - 3*d**4 + 2*d + 4*d**2 + d**5.
-2*d*(d - 1)*(d + 1)**3
Let v(f) be the first derivative of -f**5/30 + f**4/8 - f**3/9 + 2. Find t such that v(t) = 0.
0, 1, 2
Let 32/9*d**2 + 0*d - 16/9*d**3 + 0 + 2/9*d**4 = 0. What is d?
0, 4
Let o(i) be the third derivative of i**8/504 - i**6/60 - i**5/45 - 3*i**2. Determine r so that o(r) = 0.
-1, 0, 2
Let z(u) = u**3 + 5*u**2 - 8*u - 7. Let v be z(-6). Suppose -2*n - v = -15. Let 1 - 1 + 0 + h**3 - h**n = 0. What is h?
-1, 0, 1
Let o(f) be the first derivative of 1/22*f**4 - 2/11*f - 2/11*f**3 + 3/11*f**2 + 3. Find h, given that o(h) = 0.
1
Let y be (-1)/(-3) - (-3)/(-9). Let s = y - -2. Factor -i**4 + 3*i**2 - s*i**2 + 0*i**2 - i + i**3.
-i*(i - 1)**2*(i + 1)
Let m(o) = -o. Let x(n) be the first derivative of n**3/3 - n**2/2 + 3*n - 5. Let g(l) = 15*m(l) - 3*x(l). Factor g(h).
-3*(h + 1)*(h + 3)
Let g be -2*(-44)/(-96) + 1. Let b(r) be the first derivative of 1/2*r - g*r**3 - 3 - 1/8*r**2. Factor b(x).
-(x - 1)*(x + 2)/4
Let k be ((-8)/14)/(30/(-35)). Let -2/3*u**3 + 0 - k*u - 4/3*u**2 = 0. Calculate u.
-1, 0
Suppose 8*k = 4*k + 20. Factor -8*c**3 - 2*c**k - 2*c**2 + 4*c**5 + 7*c**3 + 2*c**4 - c**3.
2*c**2*(c - 1)*(c + 1)**2
Suppose j + 3 = -5*l - 0, 2*j + 6 = 4*l. Suppose l = 2*c - 1 - 5. What is o in o**2 + 0*o**2 + 0*o**c - 1 + o - o**3 = 0?
-1, 1
Let c be (3/(-195))/(4/(-15)). Let p = 113/156 - c. Factor 0 - 2/3*m**2 - 2/3*m + p*m**3 + 2/3*m**4.
2*m*(m - 1)*(m + 1)**2/3
Let f(a) = -2*a - 5. Let t(l) = -l - 3. Let d(i) = 4*f(i) - 7*t(i). Let o be d(-3). Factor 2*g**3 - o*g**4 + g**2 + 0*g**4 - 3*g**2 + g**5 + 3*g**3.
g**2*(g - 2)*(g - 1)**2
Let l = -2291/21 - -109. Let y = l - -52/105. Find q, given that -2/5*q**4 + 4/5*q**2 - 2/5*q + 4/5*q**3 - y*q**5 - 2/5 = 0.
-1, 1
Let g(m) = -m**2 - 5*m + 8. Let u be g(-7). Let t be 2/u - 7/(-3). Factor -1 + 0 - 2*j**3 + 5 + t*j - 4*j**2.
-2*(j - 1)*(j + 1)*(j + 2)
Let n = -6 + 8. Factor -5*i - 3*i**4 + n*i**2 + i + i**4 + 0*i + 4*i**3.
-2*i*(i - 2)*(i - 1)*(i + 1)
Let s(x) be the third derivative of x**5/48 + 23*x**4/96 - 5*x**3/12 + 34*x**2. Solve s(w) = 0.
-5, 2/5
Let b = 767/9 + -85. Let f(h) be the second derivative of 0 + 1/3*h**2 - b*h**3 - 2*h + 1/18*h**4. Factor f(k).
2*(k - 1)**2/3
Let c be (-5)/(-7) - 12/(-42). Let h = 3 - c. De