t c = 5534/3465 - g. Factor -c + 8/5*k - 8/5*k**3 + 2/5*k**4 + 6/5*k**2.
2*(k - 2)**2*(k - 1)*(k + 1)/5
Let s(l) be the third derivative of -l**8/1680 + l**7/3360 + l**6/360 - l**5/480 - 2*l**3/3 + 6*l**2. Let p(k) be the first derivative of s(k). Solve p(b) = 0.
-1, 0, 1/4, 1
Let o(l) = -8*l**3 + 4*l**2 + 4*l. Let k(z) be the third derivative of -7*z**6/120 + z**5/15 + z**4/8 - 4*z**2. Let f(t) = 4*k(t) - 3*o(t). Factor f(g).
-4*g**2*(g - 1)
Factor -2/11*k**2 + 0*k + 2/11.
-2*(k - 1)*(k + 1)/11
Let m(x) be the first derivative of x**6/36 - 2*x**5/15 - 5*x**4/24 + 48. Suppose m(h) = 0. Calculate h.
-1, 0, 5
Let k(n) be the second derivative of 0 + 3/2*n**2 + 5/4*n**4 - 7*n - 29/12*n**3 - 7/40*n**5. Factor k(c).
-(c - 3)*(c - 1)*(7*c - 2)/2
Let h = 25261/60 - 421. Let z(g) be the second derivative of 3*g - 1/6*g**2 + 0 - 1/12*g**4 - h*g**5 - 1/6*g**3. Suppose z(r) = 0. Calculate r.
-1
Let c = -20 - -14. Let d be (15/6)/((-10)/c). Factor -3/2*s**2 + 3*s - d.
-3*(s - 1)**2/2
Let y(h) be the second derivative of -5*h - 1/10*h**6 + 0*h**3 + 3/10*h**5 + 0 + 0*h**4 + 0*h**2. Factor y(p).
-3*p**3*(p - 2)
Let x be (-3 - (-1 + 0)) + (-16)/(-4). Determine o so that -55/7*o**4 + 16/7 - 25/7*o**5 - 80/7*o + 88/7*o**x + 8*o**3 = 0.
-2, 2/5, 1
Let a(z) be the first derivative of -6*z**5/35 - 3*z**4/14 + 2*z**3/7 + 3*z**2/7 + 14. Find q such that a(q) = 0.
-1, 0, 1
Let p(v) be the second derivative of -5*v**7/168 + v**6/6 - v**5/4 - 5*v**4/24 + 25*v**3/24 - 5*v**2/4 - 12*v. Determine d so that p(d) = 0.
-1, 1, 2
Let u(r) be the third derivative of 0 + 0*r + 7/108*r**4 + 1/54*r**5 + 1/540*r**6 + 1/9*r**3 + 2*r**2. Find m, given that u(m) = 0.
-3, -1
Suppose -3*d + 12 = -d. Let v(x) = x**3 - x**2 + 2*x + 2. Let m(g) = -2*g**3 + g**2 - 3*g - 3. Let h(b) = d*v(b) + 4*m(b). What is f in h(f) = 0?
-1, 0
Factor 1/6*u - 1/6*u**2 + 0.
-u*(u - 1)/6
Let h be 0/((-2)/(10/(-5))). What is l in 2/9*l**4 + 0*l + 2/9*l**2 + h + 4/9*l**3 = 0?
-1, 0
Let k(g) be the third derivative of -3*g**2 + 0*g - 1/12*g**3 + 1/24*g**4 + 0 - 1/120*g**5. Factor k(j).
-(j - 1)**2/2
Let 0 + 0*q - 2/3*q**4 - 4/3*q**3 - 2/3*q**2 = 0. Calculate q.
-1, 0
Factor 0*j**3 + 0 + 0*j**2 - 2/15*j**4 + 2/15*j**5 + 0*j.
2*j**4*(j - 1)/15
Let o(d) be the third derivative of 1/420*d**6 + 0*d**4 + 0*d**3 + 2*d**2 + 0 + 0*d**5 + 0*d. Factor o(b).
2*b**3/7
Let c = -21/20 - -227/140. What is l in -2/7*l**2 - 2/7 - c*l = 0?
-1
Let d(s) be the third derivative of 0*s + 0*s**3 + 1/12*s**4 + 0 - 1/30*s**5 + 5*s**2. Factor d(f).
-2*f*(f - 1)
Let z(s) = -s**2 - 10*s - 1. Let m be z(-9). Factor m*b**4 - 12*b**4 + b**4 - 3*b**5 + 3*b**3 + 3*b**2.
-3*b**2*(b - 1)*(b + 1)**2
Let g(m) be the second derivative of 1/4*m**4 - 5*m - 1/2*m**3 - 1/20*m**5 + 0 + 1/2*m**2. Factor g(x).
-(x - 1)**3
Let w(l) be the first derivative of 2/3*l**3 - 1/2*l**2 + l**4 + 0*l + 5 - 2/5*l**5 - 1/2*l**6. Determine h, given that w(h) = 0.
-1, 0, 1/3, 1
Factor -12 - 5*z**2 - 3 - 24*z + 3 - 10*z**2 - 3*z**3.
-3*(z + 1)*(z + 2)**2
Let i be (-2)/6 + 14/42. Let j(h) be the second derivative of i + 1/60*h**4 + 0*h**2 - 1/30*h**3 - h. Factor j(x).
x*(x - 1)/5
Let i(a) be the second derivative of a**5/5 + a**4/3 - 2*a**3/3 - 2*a**2 - 19*a. Determine f, given that i(f) = 0.
-1, 1
Let r be ((-4)/(-96))/((-10)/354). Let l = r + 15/8. Determine d, given that 0 + 2/5*d**2 - l*d = 0.
0, 1
Let x(o) be the second derivative of -o**2 + 5/6*o**3 + 1/20*o**5 + o + 0 - 1/3*o**4. Solve x(y) = 0 for y.
1, 2
Suppose 4*m + 8 = 4*h - 0*h, 3*m + 10 = 5*h. Suppose m = -2*p + 6. Determine n, given that -6/7*n + 2/7 - 2/7*n**2 + 6/7*n**p = 0.
-1, 1/3, 1
Suppose -15 = 45*c - 50*c. Let f(o) be the second derivative of -o**2 - c*o + o**3 - 1/3*o**4 + 0. Let f(m) = 0. What is m?
1/2, 1
Let x(a) be the first derivative of 10 + 7*a**3 - 21/5*a**5 + 0*a - 3*a**2 + 3/2*a**4. Find p such that x(p) = 0.
-1, 0, 2/7, 1
Suppose 12 = -4*n + n. Let s be (-3 - -3)*2/n. What is u in 2/9*u**5 - 4/9*u**4 + s + 0*u**3 + 4/9*u**2 - 2/9*u = 0?
-1, 0, 1
Suppose 4*f + 4*k - 4 = 0, 4*k + 11 = 3*f + 3*k. Factor 4/7*i**2 - 4/7 + 0*i**4 - 8/7*i**f + 6/7*i + 2/7*i**5.
2*(i - 1)**3*(i + 1)*(i + 2)/7
Let l(q) be the first derivative of -5*q**6/6 + 19*q**5/15 + 5*q**4 - 80*q**3/9 + 16*q/3 + 14. Let l(r) = 0. Calculate r.
-2, -2/5, 2/3, 1, 2
Let d(g) = 80*g**3 - 131*g**2 - 40*g. Let l(r) = 20*r**3 - 33*r**2 - 10*r. Let k(s) = 2*d(s) - 9*l(s). Factor k(p).
-5*p*(p - 2)*(4*p + 1)
Find g, given that 0*g**5 - 4*g**4 - 2*g**5 + 4*g**2 + g + g = 0.
-1, 0, 1
Factor -4/3 - 121/3*q**2 - 44/3*q.
-(11*q + 2)**2/3
Let n be (-54)/(-15) + -3 - (-1)/(-35). Factor -6/7 - n*a + 2/7*a**2.
2*(a - 3)*(a + 1)/7
Let t be 8/3 + (-1)/(-3). Let d(i) = -i + 1. Let l be d(-5). Factor l*j**3 + 5*j**4 + 6*j**2 - t*j**4 + j + j.
2*j*(j + 1)**3
Suppose -5 - 21 = -2*m - 5*q, -m + q + 6 = 0. Factor 10*i**2 - i**5 - 6*i**3 - i**5 + 6*i**4 - m*i**2.
-2*i**2*(i - 1)**3
Suppose -2*m = -4*m + 12. Factor -m*x**2 + 6 + 4*x - 3 - x.
-3*(x - 1)*(2*x + 1)
Let b(o) be the third derivative of -o**6/360 - o**5/45 - o**4/24 + 29*o**2. Determine r, given that b(r) = 0.
-3, -1, 0
Let v(w) be the second derivative of 20*w**7/21 + 7*w**6/5 - 32*w**5/25 - 101*w**4/30 - 12*w**3/5 - 4*w**2/5 - 8*w. Determine s, given that v(s) = 0.
-1, -2/5, -1/4, 1
Let v be (-4)/(-6) - 102/(-9). Find z such that -2*z**2 - z**2 - 3 + v*z - 3*z**2 - 3*z**2 = 0.
1/3, 1
Let v be (-4)/(-1) - (-32)/(-12). Let i(o) be the first derivative of 0*o - v*o**3 + 3 + 1/2*o**4 + 0*o**2. Factor i(p).
2*p**2*(p - 2)
Let u = 842401/240 + -3510. Let z(i) be the third derivative of -1/12*i**3 + u*i**6 + 1/16*i**4 + 0 - 1/40*i**5 + 0*i - i**2. Let z(w) = 0. Calculate w.
1
Let v(l) = -l**3 + 9*l**2 - 7*l + 10. Let x be v(8). Factor -x*w**3 + 3*w**5 - 5*w**5 + 20*w**3.
-2*w**3*(w - 1)*(w + 1)
Let b(c) be the first derivative of -1/22*c**4 + 4/11*c + 0*c**3 + 3/11*c**2 - 3. Factor b(x).
-2*(x - 2)*(x + 1)**2/11
Let q(d) be the second derivative of -5*d**4/12 + 40*d**3/3 - 160*d**2 - 2*d. What is m in q(m) = 0?
8
Factor -6 - 1 - 2 + 2*d - 3*d**2 - 14*d.
-3*(d + 1)*(d + 3)
Determine n so that -4/9*n - 8/9*n**3 + 0 - 10/9*n**2 - 2/9*n**4 = 0.
-2, -1, 0
Suppose 2*i + 0*i - 2 = 0. Let q = 4 - i. Factor -3*v**5 - q*v**5 + 0*v + 7*v**5 - 2*v**3 + v.
v*(v - 1)**2*(v + 1)**2
Let d(z) = 20*z**3 - 24*z**2 - 12*z + 16. Let f(p) = 13*p**3 - 16*p**2 - 8*p + 11. Let t(c) = -5*d(c) + 8*f(c). Factor t(x).
4*(x - 2)*(x - 1)*(x + 1)
Let y(t) be the second derivative of -7*t**4/4 + 9*t**3/2 - 3*t**2 - 2*t. Solve y(p) = 0.
2/7, 1
Let w be 11 - 8 - (-2)/(-2). Suppose 4*q + 0*q**2 - 2*q**w - 6*q + 4*q**2 = 0. Calculate q.
0, 1
Let l(u) be the third derivative of -u**5/180 - u**4/24 + 2*u**3/9 - 8*u**2. Factor l(z).
-(z - 1)*(z + 4)/3
Factor -12/7 + 27/7*h + 3/7*h**3 - 18/7*h**2.
3*(h - 4)*(h - 1)**2/7
Determine k, given that -1/2*k**4 - 2/3 - 29/6*k**2 - 8/3*k**3 - 10/3*k = 0.
-2, -1, -1/3
Let c(z) be the first derivative of -z**3 + z**2 - z/3 + 2. Suppose c(r) = 0. Calculate r.
1/3
Let s(y) = 9*y**2 + 12*y + 8. Let m(k) = 8*k**2 + 12*k + 8. Let o(d) = 5*m(d) - 4*s(d). Factor o(w).
4*(w + 1)*(w + 2)
Let v = 26/1005 - -1/134. Let l(n) be the second derivative of 0*n**2 + 1/60*n**4 + v*n**3 + n + 0. Find t, given that l(t) = 0.
-1, 0
Let y(g) = g**2 - g. Let l be y(3). Let a(j) be the third derivative of -j**2 + 0*j + 0*j**5 + 1/120*j**l + 0 + 0*j**3 - 1/24*j**4. Factor a(x).
x*(x - 1)*(x + 1)
Let v(j) be the second derivative of -2*j**5/85 + 2*j**4/17 - 3*j**3/17 + 2*j**2/17 - 7*j. Let v(s) = 0. What is s?
1/2, 2
Let j = 0 + 3. Determine r so that 4*r + 7*r**2 - 4 - 42*r**4 - 2*r + r**3 - j*r**3 + 39*r**2 = 0.
-1, -1/3, 2/7, 1
Let z(n) be the second derivative of n**8/5040 - n**6/1080 + n**3/6 - 4*n. Let f(v) be the second derivative of z(v). Factor f(p).
p**2*(p - 1)*(p + 1)/3
Let a(u) be the second derivative of u**5/130 - u**3/13 + 2*u**2/13 + 2*u. Factor a(m).
2*(m - 1)**2*(m + 2)/13
Let r(x) = 8 + 0*x + 5*x - 2 + 0*x + x**2. Let c be r(-4). Factor 0 + 4*w**3 - 9/2*w**5 + 0*w + 3/2*w**4 - c*w**2.
-w**2*(w + 1)*(3*w - 2)**2/2
Suppose -12 = -3*w - 3*x, 3*w - 20 = -2*w - 4*x. Determine k so that 1 + 3*k**w - 5*k**3 + 7*k**3 - 2*k - 4*k**2 + 0*k**4 = 0.
-1, 1/3, 1
Let p be (1 - 1)/(-1*2). Let w(c) be the third deriva