third derivative of o**5/690 - o**4/276 - 2*o**3/69 - 10*o**2. Factor d(t).
2*(t - 2)*(t + 1)/23
Let l(h) = -9*h**5 + 14*h**4 - 11*h**3 - 12*h**2. Let r(u) = u**5 - u**4 + u**3 + u**2. Let k(g) = 4*l(g) + 44*r(g). Factor k(f).
4*f**2*(f + 1)**2*(2*f - 1)
Let o(h) be the first derivative of -4 + 2*h**2 + 0*h + 1/5*h**5 + 5/4*h**4 + 8/3*h**3. Suppose o(s) = 0. What is s?
-2, -1, 0
Let x be 1/3 - 12/36. Let a(h) be the third derivative of 0*h + 1/2*h**3 + 3*h**2 - 1/20*h**5 + x*h**4 + 0. Determine u so that a(u) = 0.
-1, 1
Let l = -7 - -11. Suppose 54 + 20 = 5*d + k, -l*d - 3*k = -57. Solve z**2 + 15 - 2*z - d - 2*z**2 = 0 for z.
-2, 0
Let n(k) be the first derivative of 0*k**2 + 0*k + 1/6*k**3 - 1/24*k**4 - 1. Factor n(l).
-l**2*(l - 3)/6
Let f(d) = 3*d**2 + 1 - 2*d - 2*d**2 - 4. Let p be f(4). Suppose 8*r - 4*r**2 + 14*r**2 + 1 - p + 2 = 0. Calculate r.
-1, 1/5
Let w(d) be the first derivative of -d**3 - 1/2160*d**6 - 1/720*d**5 + 2 + 0*d**4 + 0*d**2 + 0*d. Let j(x) be the third derivative of w(x). Solve j(l) = 0.
-1, 0
Let w be (5*6/120)/((-1)/(-12)). Let n(j) be the third derivative of 3*j**2 + 1/240*j**5 + 0*j**4 - 1/480*j**6 + 0*j**w + 0 + 0*j. Factor n(i).
-i**2*(i - 1)/4
Let a(g) = g**2 - 5*g - 2. Let j be a(3). Let s = 11 + j. Factor z + 2 - z**4 + z**3 - 1 + z**3 - s*z.
-(z - 1)**3*(z + 1)
Let a = -18 + 6. Let z be (-7)/(-10)*a/(-21). Determine i, given that -26/5*i**2 + 12/5*i**3 + 24/5*i - 8/5 - z*i**4 = 0.
1, 2
Let m(w) = w**3 - 9*w**2 - 2*w + 10. Let s be m(9). Let n be -5*s/30*3. Factor -6*i**3 + 4*i**n - 4*i - i**5 + 3*i + 4*i**2 + 0*i + 0*i.
-i*(i - 1)**4
Let a(s) be the second derivative of -s**6/240 + s**5/80 - s**3/24 + s**2/16 + 11*s. Factor a(g).
-(g - 1)**3*(g + 1)/8
Let s(l) be the second derivative of -l**6/10 - 3*l**5/10 + 3*l**4/4 + 2*l**3 - 6*l**2 + 25*l. Factor s(b).
-3*(b - 1)**2*(b + 2)**2
Suppose 6*a - 46*a - 10*a**2 + 15*a**2 + 80 = 0. Calculate a.
4
Let a be (-2 - 1) + 4 + 6. Let k(q) be the third derivative of -4/165*q**6 + 1/30*q**5 + 0*q**3 + 0 - 1/66*q**4 + 1/165*q**a - 2*q**2 + 0*q. Factor k(j).
2*j*(j - 1)**2*(7*j - 2)/11
Let q = -5/93 - 41/2697. Let p = 44/203 - q. Let 4/7*s**3 - p*s + 2/7*s**4 - 2/7*s**5 + 2/7 - 4/7*s**2 = 0. Calculate s.
-1, 1
Find s such that 2/11*s**2 + 8/11*s + 0 = 0.
-4, 0
Let w(f) be the third derivative of 4*f**7/21 + 7*f**6/12 - 5*f**5/12 - 5*f**4/12 + 29*f**2. Determine n so that w(n) = 0.
-2, -1/4, 0, 1/2
Let v = -8 + 10. Let m be (-8)/6 + (v - 0). Factor 4/3 - 2/3*t**2 - m*t.
-2*(t - 1)*(t + 2)/3
Let s(t) be the first derivative of t**4/4 - 2*t**3 - 4*t**2 + 7*t - 6. Let h be s(7). Suppose -1/4 + h*p**2 - 1/2*p**3 + 1/2*p + 1/4*p**4 = 0. Calculate p.
-1, 1
Let g(j) be the first derivative of -5*j**6/2 + 14*j**5 - 115*j**4/4 + 80*j**3/3 - 10*j**2 - 5. Let g(p) = 0. Calculate p.
0, 2/3, 1, 2
Let c(y) = -4*y**2 - 4*y - 3. Let n(p) = p**2 + p. Let w(x) = 4*x**2 + 4*x - 1. Let m(l) = 5*n(l) - w(l). Let h(r) = -c(r) - 3*m(r). Factor h(u).
u*(u + 1)
Let k = 7 + -3. Let p = -1 + k. Solve -40/7*q + 4/7*q**p - 8/7 - 6*q**2 + 2*q**4 = 0.
-1, -2/7, 2
Let h(z) = z**2 + 6*z + 4. Let v be h(-6). Let s be (-8)/6*(-6)/v. Find k, given that 6*k**3 + 11*k**2 + k**4 + 8 + k**4 + 6*k**3 + 24*k + 15*k**s = 0.
-2, -1
Let c be ((-1)/3 - 1/(-4))/(-20). Let z(p) be the third derivative of 1/48*p**4 + 0*p**3 - p**2 + c*p**5 + 0 + 0*p. Factor z(x).
x*(x + 2)/4
Let s be ((-4)/(-12))/((-1)/(-6)). Let b(l) be the first derivative of 0*l + 1/3*l**4 + s + 2/15*l**5 + 0*l**2 + 2/9*l**3. Factor b(t).
2*t**2*(t + 1)**2/3
Let l(i) be the first derivative of 5*i**5/22 - 35*i**4/33 + 4*i**3/3 - 8*i**2/11 - i + 1. Let s(c) be the first derivative of l(c). Factor s(n).
2*(n - 2)*(5*n - 2)**2/11
Suppose -4*d + 3*q = -11, 0 = 3*d + 3*q - 4*q - 7. Factor -4*t**d + 4*t**2 + t**2 + t**2.
2*t**2
Suppose 2*y - 4*a = -10, -5*a + 5 = -2*y - 8. Let v be (1 - (y + 1)) + 36. Factor -28*o**4 - 2*o**3 - 2*o**3 - 14*o**5 - v*o**5.
-o**3*(7*o + 2)**2
Let o(t) = t**4 - t**3 - t**2 - t. Let y(n) = 7*n**4 - 7*n**3 - 7*n**2 - 5*n. Let h(w) = 6*o(w) - y(w). Factor h(q).
-q*(q - 1)**2*(q + 1)
Suppose 0*a + 3*a = 0. Find v, given that 3*v**3 - 7*v**4 + 9*v**2 - 2*v**4 - 3*v + a*v**2 = 0.
-1, 0, 1/3, 1
Let q(r) be the third derivative of -r**6/160 - r**5/20 - 5*r**4/32 - r**3/4 - 15*r**2. Determine z, given that q(z) = 0.
-2, -1
Let m(u) be the third derivative of -u**7/140 - 3*u**6/40 - u**5/5 + 18*u**2. Determine f so that m(f) = 0.
-4, -2, 0
Let v = 245 - 242. Factor -1/5*k**2 + 1/5*k**4 - 1/5*k**v + 0 + 1/5*k.
k*(k - 1)**2*(k + 1)/5
Let u(c) = -c**2 - 11*c + 4. Let i be -15 - (2 + (-10 - -4)). Let a be u(i). Suppose 0*p**3 - 2/7*p**a + 2/7*p**2 + 0 + 0*p = 0. Calculate p.
-1, 0, 1
Let t(n) = -n**3 + 17*n**2 - 5*n + 5. Let z(d) = 9*d**2 - 3*d + 3. Let l(o) = -3*t(o) + 5*z(o). Factor l(w).
3*w**2*(w - 2)
Let n(h) = 6*h. Let c be n(-2). Let f be 4/(-16) - 19/c. Factor 1/3*w**4 + f*w**2 - 4/3*w**3 + 0*w + 0.
w**2*(w - 2)**2/3
Let t be (-15)/(-18) - (-9 + 1482/180). Factor t*c + 4/5*c**2 + 4/5.
4*(c + 1)**2/5
Let q(b) = b**2 + b - 3. Let n be q(-3). Suppose -n*z + 0*z + 15 = 0. Factor f**5 - 4*f**3 + 3*f**3 + 0*f**z.
f**3*(f - 1)*(f + 1)
Let h(q) be the second derivative of -8*q**6/15 + 6*q**5/5 + 5*q**4/4 + q**3/3 - 10*q. Factor h(d).
-d*(d - 2)*(4*d + 1)**2
Let z(o) be the first derivative of -6*o + 3*o**3 - 15/2*o**2 + 4. Factor z(s).
3*(s - 2)*(3*s + 1)
Let a(d) = -d**3 + 8*d**2 - 3*d - 10. Let r be a(7). Let c be 1/(3*3/r). Factor c*q - 2 + q + 3*q + 2*q**2 - 2 - 6*q**3 + 2*q**4.
2*(q - 2)*(q - 1)**2*(q + 1)
Suppose -r + 3*l = 3*r + 5, 0 = 3*l + 3. Let p = 5 + -2. Let j(f) = -5*f**2 + 3*f + 5. Let k(v) = -4*v**2 + 2*v + 4. Let g(m) = p*k(m) + r*j(m). Factor g(q).
-2*(q - 1)*(q + 1)
Let k be 9 - 5 - (-284)/6. Let d = k - 50. What is f in -2*f + 4/3*f**2 + d*f**3 + 2/3*f**5 - 2*f**4 + 2/3 = 0?
-1, 1
Let o(b) be the first derivative of -1/12*b**3 + 1/8*b**2 - 4 + 1/4*b - 1/16*b**4. What is s in o(s) = 0?
-1, 1
Let s be (-45)/(-9)*1/5. Let q(u) = -3*u**2 + u - 5. Let n(k) = -4 + k**2 - k + 6 - 1 + 0. Let t(o) = s*q(o) + 5*n(o). Factor t(g).
2*g*(g - 2)
Let j be ((-4)/(-6))/(2/6). Let u be 3/(-9)*(-8 + -1). Let 0*m**2 - m - 3 + m**2 + j + m**u = 0. Calculate m.
-1, 1
Let i(x) be the first derivative of 2*x**5/35 + 3*x**4/14 + 2*x**3/21 - 3*x**2/7 - 4*x/7 - 27. Find d, given that i(d) = 0.
-2, -1, 1
Let f be (-18)/3 + 1 - -2. Let o be f - (68/(-10))/2. Factor -2/5*z**3 + 0 + 0*z - o*z**2.
-2*z**2*(z + 1)/5
Determine p so that 1/9*p**3 + 0*p + 0 + 0*p**2 + 1/9*p**4 = 0.
-1, 0
Let q(z) be the third derivative of -z**10/10080 + z**8/2240 + z**4/12 - 4*z**2. Let v(d) be the second derivative of q(d). Let v(f) = 0. Calculate f.
-1, 0, 1
Let k be 3/210*38 + 47/(-329). Find v such that -1/5*v**2 - 3/5*v - k = 0.
-2, -1
Let x be 10/(-45)*-6*(-6)/(-4). Let k(i) be the second derivative of 0 - 1/70*i**5 + x*i - 1/105*i**6 + 0*i**2 + 1/21*i**3 + 1/42*i**4. Factor k(l).
-2*l*(l - 1)*(l + 1)**2/7
Let a(u) = 14*u**2 - 2*u + 2. Let c be a(1). Let s be 12/(-7) + c + -12. Factor s*m**5 + 2/7*m**3 + 0*m**2 + 0 + 0*m - 4/7*m**4.
2*m**3*(m - 1)**2/7
Let j(d) be the first derivative of 9*d**4/4 - 2*d**3 - 9*d**2/2 + 6*d - 3. Solve j(k) = 0.
-1, 2/3, 1
Let g(u) = u**3 - 3*u**2 - u - 1. Let l(r) = -4 + 6 - 1 + 0 + r**2. Let o(x) = -2*g(x) - 4*l(x). Factor o(w).
-2*(w - 1)**2*(w + 1)
Let s = 10568/8815 - -2/1763. Find q, given that -4/5*q**2 + 0 - 4/5*q**4 - 1/5*q**5 - 1/5*q - s*q**3 = 0.
-1, 0
Factor 4*i**4 + 2*i**4 - 20*i**2 + 2*i - 7*i**4 + 23*i**2.
-i*(i - 2)*(i + 1)**2
Let l = 647/40 - 115/8. Solve -6/5*p**3 + 3/5 + 6/5*p**2 + l*p - 9/5*p**4 - 3/5*p**5 = 0.
-1, 1
Let c(f) be the second derivative of 28/5*f**5 + 0 + 16/3*f**3 + 9*f + 2*f**2 + 22/3*f**4 + 34/15*f**6 + 8/21*f**7. Find g, given that c(g) = 0.
-1, -1/4
Let p(g) be the second derivative of g**7/1260 - g**5/60 - g**4/6 - 8*g. Let d(m) be the third derivative of p(m). Factor d(y).
2*(y - 1)*(y + 1)
Let g be 7/(-7) - 80/(-66). Let n = g + 5/11. Determine a, given that n*a - 2/3*a**3 + 0*a**2 + 0 = 0.
-1, 0, 1
Find o such that -8*o**4 + 15*o**3 - 8*o**4 + 9*o**5 - 17*o**2 - 5*o**4 + 14*o**2 = 0.
0, 1/3, 1
Let q(h) be the second derivative of -1/22*h**5 - 2*h + 0 + 0*h**2 - 1/66*h**4 + 0*h**3. Factor 