Factor g(l).
l**3*(l - 1)*(l + 2)/6
Let j(l) be the first derivative of 0*l**3 + 0*l**2 + 0*l + 1/4*l**4 + 1/5*l**5 - 3. Solve j(k) = 0 for k.
-1, 0
Suppose -2*p**2 + 7*p**2 - 3*p**4 + p**4 - 2 - p**2 = 0. What is p?
-1, 1
Suppose 5*w**4 + 4*w**4 + 0*w**4 - 4*w**2 + 8*w**3 - 13*w**4 = 0. Calculate w.
0, 1
Let q = -6/479 - -3389/2874. Factor 1/3*c**2 - 2*c**4 + 0 + 1/2*c**3 + q*c**5 + 0*c.
c**2*(c - 1)**2*(7*c + 2)/6
Let x(h) = 8*h**2 - 252*h - 1112. Let q(z) = -z**2 + 36*z + 159. Let f(w) = -44*q(w) - 6*x(w). Factor f(o).
-4*(o + 9)**2
Factor -3/2*g - 1/2*g**2 - 1.
-(g + 1)*(g + 2)/2
Let p(w) = w**5 - 4*w**4 - 5*w**3 + 3*w**2 + 3*w. Let c(x) = -2*x**5 + 4*x**4 + 6*x**3 - 4*x**2 - 4*x. Let t(a) = -3*c(a) - 4*p(a). Factor t(j).
2*j**3*(j + 1)**2
Let d(m) be the third derivative of -m**7/525 + m**6/300 + m**5/75 + 28*m**2. Factor d(i).
-2*i**2*(i - 2)*(i + 1)/5
Suppose -13*l + 9*l + 16 = 0. Let b(c) be the third derivative of 0 - 1/6*c**4 - 1/15*c**6 + l*c**2 - 1/6*c**5 + 0*c**3 - 1/105*c**7 + 0*c. Factor b(h).
-2*h*(h + 1)**2*(h + 2)
Let r be 5/10 + -4 + (2 - -2). Determine b so that -5/2*b**3 - 7/2*b - r*b**4 - 9/2*b**2 - 1 = 0.
-2, -1
Let t(l) be the first derivative of -l**6/150 + l**5/50 - l**4/60 + 3*l - 1. Let v(j) be the first derivative of t(j). Find i such that v(i) = 0.
0, 1
Let u(j) be the third derivative of -j**5/15 + j**4/6 + 4*j**3/3 + 2*j**2. Factor u(d).
-4*(d - 2)*(d + 1)
Let t(s) be the second derivative of 0*s**2 + 0 - 1/18*s**3 + 7*s - 1/72*s**4. Find o such that t(o) = 0.
-2, 0
Let b(c) be the second derivative of 1/9*c**4 + 0*c**3 + 0*c**2 + 0*c**5 + c + 0 - 2/45*c**6. Let b(s) = 0. What is s?
-1, 0, 1
Let u(t) = 6*t**3 + 6*t**2 + 2*t + 2. Let j(x) = -x**3 - x**2 - x - 1. Let l(g) = -2*j(g) - u(g). Determine q, given that l(q) = 0.
-1, 0
Let o(r) be the second derivative of -r**7/840 + r**6/480 + r**5/120 - 5*r**2/2 + 6*r. Let j(q) be the first derivative of o(q). Determine f so that j(f) = 0.
-1, 0, 2
Let g(s) be the third derivative of -s**8/90720 - s**7/7560 - 7*s**5/60 + 5*s**2. Let n(p) be the third derivative of g(p). Solve n(d) = 0.
-3, 0
Let y(c) be the first derivative of -91*c**4/6 - 8*c**3/3 + 4*c**2/3 + 7. Suppose y(a) = 0. Calculate a.
-2/7, 0, 2/13
Let s(g) be the third derivative of 0 - 2/15*g**5 + 2/5*g**6 + 0*g + 25/168*g**8 + 3*g**2 + 0*g**3 - 3/7*g**7 + 0*g**4. Suppose s(t) = 0. What is t?
0, 2/5, 1
Let n(h) be the first derivative of 2*h**5/15 + h**4/12 - h**3/6 - h**2 - 3. Let o(t) be the second derivative of n(t). Factor o(j).
(2*j + 1)*(4*j - 1)
Let z = 59 - 59. Let a(n) be the first derivative of -3 + 2/3*n**2 + z*n - 2/9*n**3. What is f in a(f) = 0?
0, 2
Let t = 640 - 636. Find b such that 0 + 0*b - 2/7*b**t - 4/7*b**2 - 6/7*b**3 = 0.
-2, -1, 0
Let c(s) = -s. Let y(h) = 3*h**3 + 18*h**2 + 18*h + 24. Let m be (-1)/(4/(-8)) + -20. Let q(f) = m*c(f) + y(f). Let q(d) = 0. What is d?
-2
Suppose -19 = 43*d - 19. Solve d*v**3 - 2/13 - 2/13*v**4 + 0*v + 4/13*v**2 = 0.
-1, 1
Let u(q) be the third derivative of -q**6/20 - 3*q**5/20 + 3*q**4/8 + q**3 + 4*q**2. Factor u(m).
-3*(m - 1)*(m + 2)*(2*m + 1)
Suppose -4*i = 3*v - 11, 0 = 2*v - 0*v - 2. Let k = 4547/5085 - 3/565. Solve -2/9*q**i + k*q - 8/9 = 0.
2
Suppose 4*r - 12 = -0*r. Factor 5*k**3 + 4*k**4 - 3*k**5 + 1 - k - 6*k**2 + 0 - k**r + 1.
-(k - 1)**3*(k + 1)*(3*k + 2)
Let h(u) be the third derivative of -u**5/210 - u**4/14 + u**3/3 - 35*u**2. Solve h(s) = 0 for s.
-7, 1
Let f(x) = -11*x**3 + 2*x**2 - 3*x + 8. Let b(s) = 7*s**3 - s**2 + 2*s - 5. Suppose 4*o + 0*o = 32. Let v(r) = o*b(r) + 5*f(r). Factor v(t).
t*(t + 1)**2
Suppose -7/3*y**4 + 15*y**2 - 8/3 + 16/3*y**3 + 14/3*y = 0. What is y?
-1, 2/7, 4
Factor 20/9*n**3 - 32/9*n**2 - 4/9*n**4 + 16/9*n + 0.
-4*n*(n - 2)**2*(n - 1)/9
Let w(u) be the first derivative of -u**5/5 + u**4 - 2*u**3 + 2*u**2 - u - 3. Factor w(k).
-(k - 1)**4
Let b(t) be the second derivative of 9*t**4/4 - 3*t**3 + 3*t**2/2 + 15*t. Solve b(s) = 0.
1/3
Let r(q) = -q**2 - q - 1. Let x(t) = 3*t**2 + 5*t - 2. Let y(b) = -2*r(b) - x(b). Factor y(u).
-(u - 1)*(u + 4)
Let i = -9 - -6. Let w(x) = -15*x**4 - 9*x**3 + 9*x**2 + 3*x + 3. Let j(c) = 30*c**4 + 18*c**3 - 17*c**2 - 5*c - 5. Let n(o) = i*j(o) - 5*w(o). Factor n(u).
-3*u**2*(u + 1)*(5*u - 2)
Let w(h) be the third derivative of 3*h**2 + 0 - 1/4*h**4 + 0*h + 7/20*h**5 - 1/2*h**3 - 1/10*h**6. What is d in w(d) = 0?
-1/4, 1
Factor 2*c**2 + 9 + 0*c**2 - 11.
2*(c - 1)*(c + 1)
Let h be (4/5)/((-2)/(-5)). Let k(z) be the first derivative of -z**3/3 + z**2/2 + 8. Let v(b) = -8*b**2 + 4*b - 2. Let w(d) = h*v(d) - 14*k(d). Factor w(j).
-2*(j + 1)*(j + 2)
Let q(f) be the second derivative of 0 - 1/2*f**2 + 5*f - 1/10*f**5 - 5/12*f**3 + 11/24*f**4. Solve q(a) = 0.
-1/4, 1, 2
Let q be 1/(-5 + 12/3). Let o be ((-12)/9 - q)/(-1). Suppose -o*c**3 + 2/3*c + 0 + 1/3*c**2 = 0. What is c?
-1, 0, 2
Let i(k) be the first derivative of -k**4/4 - 11*k**3/9 + 28*k**2/9 - 20*k/9 + 16. Suppose i(f) = 0. Calculate f.
-5, 2/3
Let q = -60 + 65. Let g(x) be the third derivative of 3*x**2 + 2/21*x**3 + 0*x + 1/28*x**4 + 0 + 1/210*x**q. Factor g(k).
2*(k + 1)*(k + 2)/7
Factor 10*c**2 + 0 + 5/2*c**5 + 0*c**3 - 15/2*c**4 + 0*c.
5*c**2*(c - 2)**2*(c + 1)/2
Factor 12/7 + 4/7*q**2 + 16/7*q.
4*(q + 1)*(q + 3)/7
Suppose u = -2*w + 1, -w - 3*w = -4*u - 20. Let p(n) be the second derivative of -n + 0 + 0*n**w + 0*n**4 + 1/30*n**3 - 1/100*n**5. Factor p(l).
-l*(l - 1)*(l + 1)/5
Let s = -22 - -26. Suppose 12*a = 16*a - s. Find h, given that a - 3/2*h + 1/2*h**2 = 0.
1, 2
Let g(j) be the first derivative of -j**4/30 + 2*j**3/9 - 11. Find i, given that g(i) = 0.
0, 5
Let n(x) = -x**4 + 5*x**3 + 4*x**2 + 4*x. Let c(h) = h**4 - 6*h**3 - 5*h**2 - 5*h. Let j(p) = 4*c(p) + 5*n(p). Determine v so that j(v) = 0.
0, 1
Let s = -19 - -22. Factor -p**3 + 5*p**s - 2*p**4 - 4*p**3 + 2*p**5.
2*p**4*(p - 1)
Let q be ((-6)/8)/((-11)/(352/36)). Find c such that -4/3*c + 2/3 + q*c**2 = 0.
1
Let w(u) be the third derivative of -u**8/6720 + u**7/280 - 3*u**6/80 + u**5/12 - 3*u**2. Let q(o) be the third derivative of w(o). Let q(l) = 0. Calculate l.
3
Let m(b) be the first derivative of -7*b**4/6 - 5*b**3/3 + 2*b**2 - 2*b + 1. Let t(z) be the first derivative of m(z). Determine w so that t(w) = 0.
-1, 2/7
Factor -3/2*s**2 + s**4 - 3/2*s**3 + 0 + s.
s*(s - 2)*(s + 1)*(2*s - 1)/2
Let o(c) = -4*c**4 + 3*c**3 + 7*c**2 - 32*c + 21. Let k(g) = -4*g**4 + 2*g**3 + 6*g**2 - 32*g + 22. Let l(j) = -5*k(j) + 6*o(j). Factor l(z).
-4*(z - 2)*(z - 1)**2*(z + 2)
Let v(k) = 9*k**3. Let i(u) = -u**2. Let b(a) = 6*i(a) + v(a). Determine t, given that b(t) = 0.
0, 2/3
Let g be 30/10 + (-17)/7. Factor -6/7*d**4 - 6/7*d + 4/7*d**3 + g*d**2 + 2/7 + 2/7*d**5.
2*(d - 1)**4*(d + 1)/7
Let u be 4/(-22) + 4/22. Let l(p) be the second derivative of u + 1/8*p**3 - p - 1/4*p**2 + 7/24*p**4. Let l(o) = 0. Calculate o.
-1/2, 2/7
Let p(s) be the second derivative of -s**6/6 - s**5 - 25*s**4/12 - 5*s**3/3 - 16*s. Factor p(f).
-5*f*(f + 1)**2*(f + 2)
Suppose 0 = -4*g - 5*w + 13, -g - 3*w = -1 - 4. Suppose 2/3*y**g - 2/3*y**4 + 0 + 4/9*y - 4/9*y**3 = 0. Calculate y.
-1, -2/3, 0, 1
Let h = -5/63 - -73/126. Solve 1/2*f**5 + f**4 - 2*f**2 + h*f - f**3 + 1 = 0.
-2, -1, 1
Let b = 41/3195 + 2/213. Let x(r) be the second derivative of 2*r + 0 + 0*r**2 - 1/30*r**5 - 1/9*r**4 + b*r**6 + 0*r**3. Factor x(t).
2*t**2*(t - 2)*(t + 1)/3
Let 3*j**2 - 399 - 30*j + 399 = 0. Calculate j.
0, 10
Factor -22*r - 12 - r**2 - 28 - 38 - 43.
-(r + 11)**2
Let a be ((-9)/(-6))/((-6)/8). Let r be (a - (-14)/4)/3. Factor r - 1/2*b**2 + 1/2*b**3 - 1/2*b.
(b - 1)**2*(b + 1)/2
Let b(a) = -a**2 - 3*a + 4. Let l be b(-4). Let o = 76 + -72. Factor -1/2*t**5 + 1/2*t**o + 0*t + l - 1/2*t**2 + 1/2*t**3.
-t**2*(t - 1)**2*(t + 1)/2
Let i = -17 + 17. Let u(c) be the third derivative of 0*c**4 + 0 - 1/60*c**6 - 1/60*c**5 + i*c**3 - 2*c**2 - 1/210*c**7 + 0*c. Factor u(a).
-a**2*(a + 1)**2
Let j = 83/2 + -41. Factor -1/2*v**2 + 1/2 - 1/2*v**3 + j*v.
-(v - 1)*(v + 1)**2/2
Let c be 1/((-10)/(-3) - 3). Suppose -26 = -c*h + 4*b, 5*b + 17 = -0*h - 4*h. Suppose -5*w**h - 2 - 3*w**2 + 2*w**2 - 4*w**2 - 12*w = 0. What is w?
-1, -1/5
Let r(d) be the second derivative of d**10/15120 - d**8/1680 + d**6/360 - d**4/6 - d. Let b(g) be the t