9*k**5/80 + k**4/16 + 3*k**3/8 - 3*k**2/4 - k. Solve a(g) = 0.
-1, 1, 2
Let u(h) be the second derivative of -h**10/15120 - h**4/2 - 2*h. Let c(z) be the third derivative of u(z). Factor c(w).
-2*w**5
Let z(f) be the first derivative of f**3 - 3*f**2/2 - 2. Find t such that z(t) = 0.
0, 1
Factor 36*n - 37 + 30*n - 20*n**2 - 6*n - 8.
-5*(2*n - 3)**2
Find z such that -2/5*z + 0*z**4 + 0*z**2 + 0 + 4/5*z**3 - 2/5*z**5 = 0.
-1, 0, 1
Factor -1/3*y**2 - 1/3*y + 0.
-y*(y + 1)/3
What is p in 3/5 + 2/5*p - 1/5*p**2 = 0?
-1, 3
Let u = 7 + -8. Let t be (u + 2)/((-1)/(-3)). Factor 0*g + 0*g**t + 1/3*g**4 + 0*g**2 + 0.
g**4/3
Let c(v) be the second derivative of -1/10*v**3 - 1/20*v**4 + 2*v + 3/100*v**5 + 0 + 3/10*v**2. Find u such that c(u) = 0.
-1, 1
Factor 10*p**2 - 4*p**2 + 16*p + 7 - 23 - 10*p**2.
-4*(p - 2)**2
Let h(f) be the second derivative of -f**4/36 + f**3/6 - f**2/3 - 19*f. What is x in h(x) = 0?
1, 2
What is g in 0 + 3/4*g + 3*g**2 - 15/4*g**3 = 0?
-1/5, 0, 1
Let m(o) be the second derivative of 1/8*o**6 - 7/16*o**4 - 9/80*o**5 - o + 0 + 3/8*o**3 + 3/4*o**2. Solve m(u) = 0 for u.
-1, -2/5, 1
Let a(w) be the third derivative of -2*w**7/105 + w**6/10 - w**5/15 - w**4/2 + 4*w**3/3 + 14*w**2. Factor a(g).
-4*(g - 2)*(g - 1)**2*(g + 1)
Let u = 7 - 7. Let h(s) = -1 - s**4 + 2 + u + 2 - 2*s**2. Let a(d) = -2*d**4 - d**3 - 4*d**2 + 5. Let o(g) = 3*a(g) - 5*h(g). Solve o(l) = 0 for l.
-2, -1, 0
Let n(l) be the second derivative of -l**5/140 - 5*l**4/84 - l**3/6 - 3*l**2/14 + 8*l. Suppose n(b) = 0. Calculate b.
-3, -1
Let z(j) be the third derivative of j**6/120 + j**5/20 - j**4/6 - 5*j**3/6 + j**2. Let f(v) = v**3 + 4*v**2 - 5*v - 6. Let w(s) = -5*f(s) + 6*z(s). Factor w(n).
n*(n - 1)**2
Let x be (-22)/12 + (-6 - -3)*-1. Let s(v) be the second derivative of 5/12*v**4 + 0 + 3*v + v**2 - x*v**3. Factor s(r).
(r - 1)*(5*r - 2)
Let p = 11 + -12. Let s be (p + 3)/(-4)*-6. Find x, given that -1/3*x**4 + 0*x + 1/3*x**2 + 1/3*x**5 - 1/3*x**s + 0 = 0.
-1, 0, 1
Find q, given that -3*q**3 + 2*q**3 + 47 - 2*q**2 - 47 - q = 0.
-1, 0
Let h(u) be the third derivative of u**6/20 - 7*u**5/20 + u**2 - 25. Suppose h(q) = 0. What is q?
0, 7/2
Let m be (-3)/(-2)*(-16)/(-6). Let c(p) be the first derivative of 1/15*p**3 + 0*p + 0*p**m + 0*p**2 - 1/25*p**5 + 2. Solve c(f) = 0 for f.
-1, 0, 1
Suppose 5*z - 5*n - 15 = 0, -n + 3 = 4*z - 29. Suppose z = p + 2. Find i such that 6*i**4 + 3*i**p + 0*i**2 + 3*i**3 - 6*i**2 - 3*i**3 - 3*i = 0.
-1, 0, 1
What is i in 3*i**2 - 3/5*i + 3/5*i**3 - 3 = 0?
-5, -1, 1
Let o(k) be the first derivative of -k**6/10 - 3*k**5/25 + 3*k**4/10 + 2*k**3/5 - 3*k**2/10 - 3*k/5 + 1. Factor o(g).
-3*(g - 1)**2*(g + 1)**3/5
Let j be 0 + ((-3)/3 - 9). Let o = j + 31/3. Suppose 0*z - o*z**2 + 1/3 = 0. What is z?
-1, 1
Let -1 + 0*p**2 - 16*p + 6 + 4*p**2 + 7 = 0. What is p?
1, 3
Let t(o) be the first derivative of -o**5/20 + o**4/4 - 7*o**2/2 + 3. Let n(u) be the second derivative of t(u). Let n(w) = 0. Calculate w.
0, 2
Let v be (-4)/5 - 49/(-35). Let t(w) be the first derivative of 3*w - v*w**5 + 3/2*w**4 + 0*w**3 - 3*w**2 + 1. Factor t(k).
-3*(k - 1)**3*(k + 1)
Let i(k) = -2*k**3 + 3*k**2 - k - 3. Suppose -2*l = -4*l + 4. Let v(m) = -m**3 + 2*m**2 - m - 2. Let c(x) = l*i(x) - 3*v(x). Suppose c(a) = 0. What is a?
-1, 0, 1
Let q = 17 - 38. Let a be (2 + q/10)*-4. Factor 6/5*v**3 + 0*v - 4/5*v**4 + 0 - a*v**2.
-2*v**2*(v - 1)*(2*v - 1)/5
Let d(m) = -2*m - 5. Let g be d(-4). Let i be 3*4/(7 - g). Factor 1/2*x**2 + 3/2*x**i + 3/2*x**4 + 1/2*x**5 + 0 + 0*x.
x**2*(x + 1)**3/2
Let w(d) = -8*d**2 - 25*d - 70. Let h(m) = -9*m**2 - 24*m - 69. Let v(a) = 5*h(a) - 6*w(a). Let v(j) = 0. What is j?
-5
Let d(w) be the first derivative of 0*w**2 - 8/3*w + 1/6*w**4 + 2/3*w**3 + 3. Find j, given that d(j) = 0.
-2, 1
Let i be 2/3 - -7*2. Let g = i - 14. Factor -1/3*x**2 + x - g.
-(x - 2)*(x - 1)/3
Let k(g) be the first derivative of g**4/10 - 4*g**3/15 - g**2/5 + 4*g/5 - 10. Factor k(w).
2*(w - 2)*(w - 1)*(w + 1)/5
Let c = 15 + -13. Let j(z) be the third derivative of -1/12*z**4 - 1/105*z**7 + 0*z - 1/20*z**6 + 0*z**3 + 0 - z**c - 1/10*z**5. Factor j(i).
-2*i*(i + 1)**3
Let q(b) be the third derivative of -b**5/12 + 5*b**4/6 - 5*b**3/2 - 8*b**2. Factor q(l).
-5*(l - 3)*(l - 1)
Let h(z) be the third derivative of z**5/80 + z**4/24 + z**3/24 - 5*z**2. Factor h(k).
(k + 1)*(3*k + 1)/4
Let v(g) = -2*g**2 + 3*g. Let f be v(0). Factor -2/3*b**4 + 0 + f*b**2 + 0*b + 2/3*b**3.
-2*b**3*(b - 1)/3
Factor 4 + 20*s**2 - 3*s**4 + 24*s + 5 - 2*s**2.
-3*(s - 3)*(s + 1)**3
Let o(n) be the first derivative of -n**6/3 - 2*n**5/5 + n**4/2 + 2*n**3/3 - 41. Factor o(h).
-2*h**2*(h - 1)*(h + 1)**2
Determine t, given that -120*t**4 - 3*t**3 + 4*t + 55*t**4 + 64*t**4 = 0.
-2, 0, 1
Let r(b) = -2*b**2 + 12*b + 19. Let f(g) = -3*g**2 + 18*g + 28. Let p(w) = 5*f(w) - 7*r(w). Factor p(o).
-(o - 7)*(o + 1)
Let y(h) be the second derivative of -h**5/25 + 31*h**4/60 + 22*h**3/15 + 9*h**2/10 + h - 5. Find q, given that y(q) = 0.
-1, -1/4, 9
Let p = 22 - 22. Let x(h) be the first derivative of 1/4*h**4 + p*h + 0*h**2 - 1/5*h**5 + 0*h**3 + 1. Determine q, given that x(q) = 0.
0, 1
Suppose 4*u - 2*d - 6 = 0, 3*u - 5*u + 4*d = 0. Factor -1/5*h**u - 4/5*h - 3/5.
-(h + 1)*(h + 3)/5
Let g = 3 + 2. Suppose v - 2*x = x - 11, 3*x = 5*v - g. Suppose a**2 + 3*a**v - 4*a**3 + a**3 + 0*a**2 - a**5 + 0*a**5 = 0. Calculate a.
0, 1
Let o = -93/7 + 379/28. Factor 1/4*l + o*l**2 + 0.
l*(l + 1)/4
Let y(b) be the third derivative of b**5/210 - b**4/21 + 4*b**3/21 + 7*b**2. Determine g, given that y(g) = 0.
2
Let l = -7 + 11. Find a, given that -16 - a**2 + 19*a**4 + 48*a - 72*a**3 + 27*a**5 + 8*a**l - 7*a**2 = 0.
-2, -1, 2/3
Let q(l) be the first derivative of -6*l**5/35 + 5*l**4/14 + 2*l**3/21 - 5*l**2/7 + 4*l/7 + 20. Determine b, given that q(b) = 0.
-1, 2/3, 1
Let -3/7*f**2 + 0*f + 3/7 = 0. Calculate f.
-1, 1
Let u(j) = 2*j**5 - 6*j**4 - 14*j**3 + 14*j**2 + 12*j + 4. Let l(w) = -1 - w**3 + 2*w**3 + 0*w**3 - w. Let b(i) = 12*l(i) + u(i). Solve b(t) = 0 for t.
-1, 1, 2
Let y be (-5 - 330/(-36)) + 1 + -5. Factor y - 1/6*u**2 + 0*u.
-(u - 1)*(u + 1)/6
Let p(m) = -m**3 + m**2 - 1. Let b(w) = 8*w**3 - 10*w**2 + 2*w + 6. Suppose -2 = 2*y - 28. Let c = 19 - y. Let a(l) = c*p(l) + b(l). Factor a(v).
2*v*(v - 1)**2
Suppose -7*u + 4*u = 0. Find c such that 0*c**3 + 0*c - 1/2*c**4 + 0 + u*c**2 = 0.
0
Let r = 2/21 - -173/168. Determine q so that r*q + 3/8*q**2 + 3/4 = 0.
-2, -1
Let r(s) be the third derivative of s**7/42 + s**6/12 - s**5/4 - 5*s**4/6 + 10*s**3/3 + 12*s**2. Factor r(k).
5*(k - 1)**2*(k + 2)**2
Factor -2*n**2 - 3*n + 0 + 1/4*n**3 + 1/4*n**4.
n*(n - 3)*(n + 2)**2/4
Suppose -2*z - 4*n = -5*z + 4, 0 = -2*n + 4. Factor -12*v**4 + v**3 - 2*v + z*v**3 + 2*v**2 + 10*v**4 - 3*v**3.
-2*v*(v - 1)**2*(v + 1)
Factor -4*x + 12 - 3*x**3 - 9*x**2 - 5*x + 9*x.
-3*(x - 1)*(x + 2)**2
Let q be 1 + -2*3*(-4)/8. Find u, given that -2/3*u**3 + 5/3*u**5 + 0*u + 0 - u**q + 0*u**2 = 0.
-2/5, 0, 1
Let m be (1 + 0)*(-10)/(-70). Let o(v) be the first derivative of 0*v - 2/21*v**3 - 2 - m*v**2. Solve o(g) = 0 for g.
-1, 0
Let f be 0/7*5/(-10). Factor f + 2/3*p**3 + 1/3*p**2 + 0*p + 1/3*p**4.
p**2*(p + 1)**2/3
Suppose 24*a**2 - 6*a**2 - 54*a**4 + a**2 - 48*a + 48*a**3 + 27*a**2 + 8 = 0. What is a?
-1, 2/9, 2/3, 1
Let y(x) = -x**4 - 10*x**3 + 11*x**2 + 4*x. Let o(a) = a**4 - a**2 + a. Let r(k) = -4*o(k) + y(k). Factor r(f).
-5*f**2*(f - 1)*(f + 3)
Determine u so that 9/7 - 15/7*u + 3/7*u**3 + 3/7*u**2 = 0.
-3, 1
Let x(t) be the third derivative of -t**6/160 - t**5/40 + t**4/8 + t**3 + 2*t**2. Factor x(c).
-3*(c - 2)*(c + 2)**2/4
Suppose 3 = -s, 0 = 5*t + s - 0*s - 17. Solve -11*w**4 + 11*w**t - 2*w**3 + 9*w**5 + 7*w**4 = 0 for w.
-1, 0, 2/9
Let f(l) be the second derivative of l**7/84 + l**6/30 - 3*l**5/10 + 7*l**4/12 - 5*l**3/12 + 32*l. Factor f(v).
v*(v - 1)**3*(v + 5)/2
Factor -b - 6*b**2 + 14*b**2 - 2*b**3 + 9*b - b**4 - b**4.
-2*b*(b - 2)*(b + 1)*(b + 2)
Let a be (-55)/(-22)*16/60. Factor -2*u**3 - 2*u**2 - 2/3*u + 0 - a*u**4.
-2*u*(u + 1)**3/3
Let u(f) = f**2 + 2*f + 3. Let a be u(0). Factor 1/7*c**4 + 0*c**2 - 1/7 - 2/7*c**a + 2/7*c.
(c - 1)**3*(c + 1)/7
Let w(u) be the second derivative of 0 + 3/4*u**4 - 5*u - 7/6*u**3 - u**2. Factor w(c).
(