1/3 - 1/3*w**2 = 0.
-1, 1
Let o(i) be the second derivative of -i**7/168 + i**6/40 - 3*i**5/80 + i**4/48 - 7*i. Solve o(d) = 0.
0, 1
Let a be 30/65*(-2)/(-6). Factor 6/13*i + a*i**2 + 0.
2*i*(i + 3)/13
Let a(q) = -3*q**3 + 6*q**2 - 5*q + 2. Suppose -t - 3*u = -6*u, 0 = 2*t - 3*u + 6. Let x(s) = s**3 - s**2. Let n(d) = t*x(d) - 3*a(d). Factor n(b).
3*(b - 2)*(b - 1)**2
Let k(u) be the third derivative of -u**6/60 + 3*u**5/50 - u**4/20 - u**3/15 + 36*u**2. Let k(i) = 0. What is i?
-1/5, 1
Let v(o) be the second derivative of o**7/595 + o**6/510 + 7*o**2/2 + 3*o. Let r(s) be the first derivative of v(s). Find f, given that r(f) = 0.
-2/3, 0
Let f(w) be the first derivative of -w**4/28 + w**3/21 + w**2/14 - w/7 + 2. Factor f(r).
-(r - 1)**2*(r + 1)/7
Let l(s) be the third derivative of s**7/5460 + s**6/780 + s**5/390 + 2*s**3/3 - 5*s**2. Let f(n) be the first derivative of l(n). What is z in f(z) = 0?
-2, -1, 0
Factor -7*p**5 + 3*p**4 - p**5 + 5*p**5 + 33*p + 18*p**3 - 42*p**2 - 7 - 2.
-3*(p - 1)**4*(p + 3)
Let u be -3 + 7/2*2. Let b be (-6)/(-21) - (-26)/7. Solve 1 + 0*l**u - 3*l**4 + 4*l**b - 2*l**2 = 0 for l.
-1, 1
Let a(k) be the third derivative of 4/15*k**3 + 1/150*k**5 - 1/15*k**4 - 2*k**2 + 0*k + 0. Factor a(c).
2*(c - 2)**2/5
Let l(p) be the second derivative of 1/12*p**4 - 1/2*p**2 + 0 + p + 1/20*p**5 - 1/6*p**3. Factor l(u).
(u - 1)*(u + 1)**2
Let a(k) be the first derivative of 363*k**4/20 - 33*k**3 + 72*k**2/5 - 12*k/5 - 2. What is w in a(w) = 0?
2/11, 1
Suppose 18 = 5*h + 2*j, 8 = 15*h - 14*h - 4*j. Determine x, given that 0*x + 3/2*x**h - 3*x**2 + 0 + 3/2*x**3 = 0.
-2, 0, 1
Let m = 124/3 + -41. Factor -4/3*j**2 + 0 + j**3 + m*j.
j*(j - 1)*(3*j - 1)/3
Factor 6/7*q**2 + 0 - 3/7*q**3 + 9/7*q.
-3*q*(q - 3)*(q + 1)/7
Let t = 108 + -104. Let h(p) be the second derivative of 0 + 1/3*p**t + 1/10*p**5 - 2*p**2 + 3*p - 1/3*p**3. Factor h(v).
2*(v - 1)*(v + 1)*(v + 2)
Let v(s) be the third derivative of s**5/30 - 5*s**4/6 + 25*s**3/3 - 18*s**2. Factor v(l).
2*(l - 5)**2
Let l(x) = 16*x**5 + 4*x**4 - 12*x**3 + 4*x**2 + 4*x - 4. Let n(o) = 16*o**5 + 3*o**4 - 12*o**3 + 4*o**2 + 3*o - 3. Let q(u) = -3*l(u) + 4*n(u). Solve q(r) = 0.
-1, 0, 1/2
Let g(i) be the second derivative of i**5/12 + 5*i**4/36 + 20*i. What is f in g(f) = 0?
-1, 0
Let j = 1 - 2. Let i(p) = p**2. Let l(g) be the second derivative of g**4/3 - g**3/3 - g. Let t(b) = j*l(b) + 6*i(b). Factor t(k).
2*k*(k + 1)
Let p(j) be the first derivative of 4*j**5/5 - j**4 - 4*j**3 + 2*j**2 + 8*j + 1. Factor p(a).
4*(a - 2)*(a - 1)*(a + 1)**2
Let h be ((-63)/(-14))/(-3) - (-13)/8. Factor 0 + 1/8*w**2 + h*w.
w*(w + 1)/8
Let r(a) = -3*a**2 - 3*a + 4. Let y(t) = 4*t**2 + 4*t - 5. Let l(f) = 5*r(f) + 4*y(f). Let v be l(1). Factor -d + d**2 + 2*d + 2*d - 2*d - v.
(d - 1)*(d + 2)
Let t(v) be the second derivative of 1/17*v**2 + 0 - 1/102*v**4 + 0*v**3 + 2*v. Factor t(g).
-2*(g - 1)*(g + 1)/17
Suppose -2*y + 2*j = -0*j - 12, -y - 2*j = 0. Suppose -y*g - 1 = -13. Factor -s + s**2 - s**4 + 0*s**2 + 2*s - s**g.
-s*(s - 1)*(s + 1)**2
Determine i so that 0*i**2 + 0 - 3*i**3 + 3/2*i**4 + 3/2*i**5 + 0*i = 0.
-2, 0, 1
Suppose 0 = 2*c - 6, 3 = j + c - 2. Suppose 0*h = -h + j. Factor n**4 + 5*n**h + 2*n**3 + 2*n**3 - 4*n**2 - 2*n**3.
n**2*(n + 1)**2
Let o = -6 - -6. Let n(r) be the second derivative of 1/3*r**3 + 3/28*r**7 - 2*r + 0 + o*r**2 - 5/6*r**4 - 1/2*r**6 + 37/40*r**5. Factor n(x).
x*(x - 1)**2*(3*x - 2)**2/2
Let w = 21 - 18. Factor -1/5*k**2 - 1/5*k**w + 0 + 2/5*k.
-k*(k - 1)*(k + 2)/5
Let j(i) be the first derivative of -i**3/3 + 4*i - 9. Factor j(g).
-(g - 2)*(g + 2)
Factor -4/21 - 2/7*x + 2/7*x**3 + 4/21*x**2.
2*(x - 1)*(x + 1)*(3*x + 2)/21
Factor 8/11*y**2 + 2/11 - 8/11*y.
2*(2*y - 1)**2/11
Factor -4/5*b**2 - 4/5*b + b**4 + 2/5*b**3 + 2/5*b**5 - 1/5.
(b - 1)*(b + 1)**3*(2*b + 1)/5
Let j(y) be the first derivative of -3 + 0*y + 1/12*y**3 + 0*y**2. Factor j(c).
c**2/4
Let i(c) = -c**4 - 4*c**3 - 6*c**2 - 2*c - 2. Let z(q) = -q**2 - q - 1. Let x(r) = i(r) - 2*z(r). Factor x(t).
-t**2*(t + 2)**2
Let l(m) = m**4 - 4*m**3 - 9*m**2 + m + 5. Let y(s) = s**3 + s**2 - s - 1. Let g(x) = -l(x) - 5*y(x). Factor g(v).
-v*(v - 2)*(v + 1)*(v + 2)
Let b(l) be the first derivative of 1/12*l**3 - 1/4*l**2 + 1/16*l**4 + 0*l + 3. Let b(c) = 0. Calculate c.
-2, 0, 1
Let v(w) be the second derivative of 0*w**2 + 1/80*w**5 - 1/24*w**3 + 0 + w + 0*w**4. Factor v(h).
h*(h - 1)*(h + 1)/4
Let d(v) = -v**2 - 7*v - 10. Let f be d(-4). Let q be (-10)/(-20) + (-1)/f. Suppose -2/3*c**4 + 0*c**2 - 2/3*c**3 + 0*c + q = 0. What is c?
-1, 0
Let i(n) be the second derivative of -n**5/40 + n**4/24 + n**3/6 + 12*n. Find d such that i(d) = 0.
-1, 0, 2
Suppose -4*z + 5*b = -4, -2*b = 4*z - 2*z - 2. Suppose -2*y + 5*u = -21, z = 4*u + 13. Suppose -2/9*h**y - 2/9*h**2 + 2/9 + 2/9*h = 0. What is h?
-1, 1
Let d(b) be the first derivative of 4*b - 1/12*b**4 + 1/80*b**5 - 2 - 1/4*b**2 + 5/24*b**3. Let a(l) be the first derivative of d(l). Factor a(k).
(k - 2)*(k - 1)**2/4
Let j(w) = -w**3 + w**2 - 32*w + 32. Let x(f) = 14*f - 16. Let s(q) = 27*q - 32. Let c(l) = 2*s(l) - 5*x(l). Let a(r) = -9*c(r) + 4*j(r). Factor a(o).
-4*(o - 2)*(o - 1)*(o + 2)
Let v(a) be the third derivative of -1/90*a**5 - 6*a**2 + 0*a - 16/9*a**3 + 0 - 2/9*a**4. Factor v(t).
-2*(t + 4)**2/3
Let b(c) be the first derivative of -c**7/1260 + 2*c**3/3 + 6. Let r(l) be the third derivative of b(l). Factor r(t).
-2*t**3/3
Let f be (-2 - (2 - 0))*1. Let u(k) = 2*k**2 - 2*k - 8. Let m(h) = 4*h**2 - 4*h - 15. Let a(l) = f*m(l) + 7*u(l). Let a(b) = 0. Calculate b.
-1, 2
Let z = 13 + -7. Let w be ((-8)/z)/(16/(-24)). Factor -2*g**3 - g**3 + 5*g**3 - g**4 + g**2 - 2*g**w.
-g**2*(g - 1)**2
Solve 2*c**2 + 2*c**4 + c**5 + 2*c**5 - 2*c**5 - c**3 - 4*c**2 = 0.
-2, -1, 0, 1
Let a(p) = p**3 - 5*p**2 + 4*p + 3. Let o be a(4). Factor 0 + 16/3*u**o - 4/3*u + 10/3*u**4 + 2/3*u**2.
2*u*(u + 1)**2*(5*u - 2)/3
Let t(b) be the first derivative of -b**6/2 + 6*b**5/5 - 2*b**3 + 3*b**2/2 - 9. Solve t(s) = 0.
-1, 0, 1
Suppose 0 + 2*d**2 - 2*d - 1/2*d**4 + 1/2*d**3 = 0. Calculate d.
-2, 0, 1, 2
Let w(c) be the second derivative of -c**5/70 - c**4/14 - 10*c. Solve w(d) = 0.
-3, 0
Suppose c + 2*c = 6. Let t = 6 - 3. Let -3*r**4 - r**2 + c*r**3 + t*r**5 - 2*r**5 + r**3 = 0. What is r?
0, 1
Let u(k) be the third derivative of 0 + 9*k**2 + 0*k + 3/32*k**4 + 1/12*k**3 + 1/60*k**5. Suppose u(w) = 0. What is w?
-2, -1/4
Factor -2/13*o**2 + 32/13*o - 128/13.
-2*(o - 8)**2/13
Let p(w) = w**3 - w**2 + 4. Let z be p(0). Let f(o) be the first derivative of -z*o + 2*o**2 + 2 - 1/3*o**3. Find q, given that f(q) = 0.
2
Factor 15/4*n**2 + 5/2 + 5/4*n**3 - 5/4*n**4 - 25/4*n.
-5*(n - 1)**3*(n + 2)/4
Let g be (1689/(-20))/((-45)/(-10)). Let i = 115/6 + g. Solve -2/5*z**3 + 0 + 0*z**2 + 0*z - i*z**4 = 0 for z.
-1, 0
Factor -8/5 + 0*o + 2/5*o**2.
2*(o - 2)*(o + 2)/5
Let v be ((-16)/6)/(-2*(-7)/(-6)). Solve 8/7 - v*b + 2/7*b**2 = 0.
2
Factor -35*d**3 - 6*d**4 - 10*d**4 - 14*d**2 - 8*d**5 - 2*d - 10*d**4 + 5*d**3.
-2*d*(d + 1)**3*(4*d + 1)
Let c(x) be the second derivative of x**6/150 + 3*x**5/50 + 7*x**4/60 - x**3/5 - 4*x**2/5 + 10*x. Let c(q) = 0. Calculate q.
-4, -2, -1, 1
Suppose -2*s + 7*s - v = 14, 0 = -3*s + 5*v + 4. Let j(h) be the first derivative of 1/15*h**s + 3 + 1/5*h**2 + 0*h. What is g in j(g) = 0?
-2, 0
Suppose -2/3*j**2 + 0*j + 8/3 = 0. Calculate j.
-2, 2
Let q(x) = 9*x**4 - 78*x**3 + 191*x**2 - 70*x - 46. Let u(l) = l**2 + l + 1. Let o(f) = q(f) - 2*u(f). Factor o(j).
3*(j - 4)**2*(j - 1)*(3*j + 1)
Suppose -2*g + 2*r = 4, -3*g - r + 10 = -0*r. Factor 37*m**g - 2 + 0 - 35*m**2.
2*(m - 1)*(m + 1)
Let y = 1171/30 - 39. Let k(x) be the second derivative of 0 - 1/30*x**4 + y*x**3 + x + 0*x**2. Factor k(d).
-d*(2*d - 1)/5
Let o = -13 - -15. Factor 11*q - q - 4*q**o - 2*q.
-4*q*(q - 2)
Let c(s) be the second derivative of s**9/60480 - s**8/26880 - s**7/5040 - 7*s**4/12 - 2*s. Let v(x) be the third derivative of c(x). Solve v(d) = 0 for d.
-1, 0, 2
Let f be (0 + (-3)/(-4))*4. Suppose 8/11*l**f + 6/11 + 32/11*l**2 + 26/11*l = 0. Calculate l.
-3, -1/2
Factor 1/4*l**2 - l + 0.
l*(l - 4)/4
Let c = -3 - -7. Suppose -122 + 10 = -c*s. Factor 91*l**2 + 5 + 11*l**3 + 53*l**3 - 11*l**2 + s*l - 2.
(4*l + 1)**2*(4*l + 3)
Let