.
-3, 1
Let 4/3*a**2 - 4/3*a - 8/3 = 0. What is a?
-1, 2
Let c be 16/6 + 8/24. Let v(k) be the first derivative of 2/3*k + 1/2*k**2 - 2 - 4/3*k**c + 7/12*k**4. Factor v(x).
(x - 1)**2*(7*x + 2)/3
Suppose -2*y + 0 + 4 = 0. Let g be (-1)/3 - (-14)/6. Determine k so that -k**3 - g + 3*k**3 - 6*k**y + 0 + 6*k = 0.
1
Let l(b) be the third derivative of b**9/302400 - b**8/33600 + b**7/8400 - b**6/3600 - b**5/15 + 3*b**2. Let k(t) be the third derivative of l(t). Factor k(m).
(m - 1)**3/5
Let q be (-1)/(-19) - 1560/(-2850). Factor -2/5*z**2 - 1/5*z**4 + q*z**3 + 0*z + 0.
-z**2*(z - 2)*(z - 1)/5
Let t(d) be the third derivative of d**10/15120 - d**9/3780 + d**7/630 - d**6/360 + d**4/8 - 2*d**2. Let j(i) be the second derivative of t(i). Factor j(m).
2*m*(m - 1)**3*(m + 1)
Factor -6 - 3*q + 3*q**3 + 6 + 4*q**4 - 3*q**2 - q**4.
3*q*(q - 1)*(q + 1)**2
Let o(i) be the first derivative of -i**7/210 + i**6/30 - i**5/12 + i**4/12 + 2*i**2 + 6. Let q(v) be the second derivative of o(v). Factor q(c).
-c*(c - 2)*(c - 1)**2
Let b(l) be the second derivative of 2/3*l**4 + 0 + 4/15*l**6 + 1/21*l**7 + 2*l + 1/3*l**3 + 0*l**2 + 3/5*l**5. Factor b(p).
2*p*(p + 1)**4
Let t(f) be the second derivative of -f**4/4 - 3*f**3/2 + 17*f. Factor t(p).
-3*p*(p + 3)
Factor -17*y**3 + 27*y**3 + 17 - 15*y**2 - 15*y**3 + 3.
-5*(y - 1)*(y + 2)**2
Find w such that -27*w**2 - 3*w**5 - 3*w - 81*w**4 - 90*w**3 - 5*w - 24*w**5 - 17*w**2 = 0.
-1, -2/3, 0
Let y(u) be the first derivative of -1/3*u**6 + 4/5*u**5 + 3 + 0*u**3 + 0*u**2 + 0*u - 1/2*u**4. Factor y(p).
-2*p**3*(p - 1)**2
Let -4*w**5 - 70*w**3 - 38*w + 110*w + 18*w**3 + 12*w**2 - 28*w**4 = 0. What is w?
-3, -2, 0, 1
Let -10/3*r**2 - 4*r**3 - r - 2*r**4 + 0 - 1/3*r**5 = 0. Calculate r.
-3, -1, 0
Let k(s) be the first derivative of s**3/9 + s**2/3 - s - 30. What is x in k(x) = 0?
-3, 1
Let h(y) be the second derivative of -5*y**4/3 + 35*y**3/6 + 5*y**2 + 24*y. Factor h(b).
-5*(b - 2)*(4*b + 1)
Let v(k) = 20*k**2 - 35*k. Let z(i) = i**2 - i. Let h(p) = v(p) - 25*z(p). Factor h(y).
-5*y*(y + 2)
Let r(i) be the second derivative of 1/5*i**5 + 4*i + 0 + 0*i**2 + 1/3*i**4 + 0*i**3. Determine p, given that r(p) = 0.
-1, 0
Suppose 3 + 0 = 3*s, -11 = -3*o + s. Determine i, given that -27*i - 18*i**2 - 27/2 - 1/2*i**o - 5*i**3 = 0.
-3, -1
Factor 4*b**4 - 2*b**3 - 9*b**5 + 3*b**5 + 4*b**5.
-2*b**3*(b - 1)**2
Let f be 3/((-27)/3)*-9. Suppose f*g - 4*c + 2 = 0, -3*c + 5 = -g + 1. Factor -6*r**2 + 0*r**2 + 4*r**g + 2*r**4 + 0*r**2.
2*r**2*(r - 1)*(r + 1)
Let l(h) = -4*h - 10. Let z be l(-3). Let q(r) be the first derivative of 4/3*r**z - 2 - 2/9*r**3 - 8/3*r. Factor q(x).
-2*(x - 2)**2/3
Factor 2*m**2 - 4*m**4 - 9*m**4 + 4*m**3 + 11*m**4 + 2*m - 6*m.
-2*m*(m - 2)*(m - 1)*(m + 1)
Let k(g) be the second derivative of g**7/105 + g**6/20 + g**5/15 - 2*g**2 + 4*g. Let n(a) be the first derivative of k(a). Factor n(c).
2*c**2*(c + 1)*(c + 2)
Let j(n) be the third derivative of -1/60*n**4 + 1/300*n**5 + 0 + 0*n + 3*n**2 + 1/30*n**3. Factor j(c).
(c - 1)**2/5
Determine g, given that -g + 2*g**2 - 2 - g - 1 - 2*g + g**4 + 4*g**3 = 0.
-3, -1, 1
Let b be 2/3*13/117. Let q(s) be the third derivative of 0*s + s**2 + 1/36*s**4 + 0 - 1/270*s**5 - b*s**3. Factor q(p).
-2*(p - 2)*(p - 1)/9
Let k(s) be the third derivative of s**5/360 - s**4/24 + 2*s**2 + 18*s. Find x, given that k(x) = 0.
0, 6
Let m(y) be the third derivative of 0*y**3 + 0 + 0*y - 9*y**2 - 1/60*y**5 + 1/12*y**4. Suppose m(j) = 0. Calculate j.
0, 2
Let r(l) be the first derivative of l**3/18 + 5*l**2/12 - l - 20. Find d such that r(d) = 0.
-6, 1
Let f = 2 + 8. Let y be 9/(-15) - (-56)/f. Suppose 0 + 1/3*d**4 - 1/3*d**3 + 1/3*d**y - 1/3*d**2 + 0*d = 0. Calculate d.
-1, 0, 1
Let z(r) = 9*r**4 - 26*r**2 - 17*r + 17. Let t(q) = 17*q**4 - 14*q**4 - 1 - 6*q + 5 - 9*q**2 + 2. Let b(o) = 17*t(o) - 6*z(o). Suppose b(h) = 0. What is h?
-1, 0, 1
Let q(w) be the second derivative of -w**4/24 - 10*w. Factor q(b).
-b**2/2
Let x(r) be the first derivative of 4*r**3/21 - 6*r**2/7 + 8*r/7 + 14. Solve x(v) = 0 for v.
1, 2
Let c(m) be the second derivative of m**6/75 + 2*m**5/25 + m**4/10 - 4*m**3/15 - 4*m**2/5 - 2*m + 9. What is s in c(s) = 0?
-2, -1, 1
Let j(u) = -3*u + 0*u - 6 + u. Let l be j(-4). What is r in -2 + l - r**3 - 2*r**4 - r**5 = 0?
-1, 0
Let j = 61 - 57. Let s(b) be the first derivative of 3 - 2/13*b**3 + 2/65*b**5 + 0*b - 2/13*b**2 + 0*b**j. Factor s(r).
2*r*(r - 2)*(r + 1)**2/13
Let c(w) be the second derivative of 0 - 16/3*w**3 - 2*w + 81/20*w**5 + 2*w**2 + 15/4*w**4. Solve c(z) = 0.
-1, 2/9
Let w(u) be the first derivative of u**3/6 + u**2/2 - 18. Factor w(h).
h*(h + 2)/2
Solve -5*m - 16*m**2 + 3*m**2 - 10*m**4 - 25*m**3 - 7*m**2 = 0.
-1, -1/2, 0
Let o(v) = -v + 2. Let j be o(4). Let f(s) = -s**2 + s - 1. Let k(m) = -m**3 + 9*m**2 - 9*m + 9. Let b(c) = j*k(c) - 18*f(c). Suppose b(u) = 0. What is u?
0
Let m(h) be the first derivative of 5*h**4/4 - 35*h**3/3 - 20*h**2 + 9. Factor m(i).
5*i*(i - 8)*(i + 1)
Let p(i) be the second derivative of 1/42*i**7 + 1/5*i**5 + 2/15*i**6 + 0 + 0*i**2 + 0*i**4 + 0*i**3 + i. Solve p(u) = 0.
-2, 0
Let g(q) be the first derivative of q**4/2 - 2*q**3 + 2*q**2 - 21. Factor g(j).
2*j*(j - 2)*(j - 1)
Find d, given that 1/2*d**2 - d - 3/2 = 0.
-1, 3
Let a(q) be the second derivative of q**5/100 - q**4/10 + 16*q**2/5 + 23*q. Factor a(d).
(d - 4)**2*(d + 2)/5
Let l(a) be the first derivative of -3*a**5/5 - 3*a**4/4 + a**3 + 3*a**2/2 + 1. Solve l(t) = 0.
-1, 0, 1
Let a(v) be the third derivative of -v**7/1995 + v**6/380 - v**5/190 + v**4/228 - 11*v**2. Factor a(u).
-2*u*(u - 1)**3/19
Factor -5/3*g**3 + 1/3*g**2 + 8/3*g + 1/3*g**5 + 4/3 - 1/3*g**4.
(g - 2)**2*(g + 1)**3/3
Suppose 2*x = 5*d - 0*d - 6, -5*d = -3*x - 4. Suppose -1/2*l**3 - 2 + 0*l + 3/2*l**x = 0. Calculate l.
-1, 2
Suppose 4*l - 23 = 3*w, -4*l + 1 = -2*w - 17. Find m, given that 12/7*m**3 + 26/7*m**l + 2/7*m**4 + 24/7*m + 8/7 = 0.
-2, -1
Let o be (-6)/14 - 203/(-245). Let -o + 3/5*b**2 + 1/5*b = 0. Calculate b.
-1, 2/3
Suppose -7 = 5*g - 5*t + 3, 3*g - 14 = -t. Let v be g*((-112)/(-60))/7. Factor -v*k**2 + 0*k + 0 + 2/5*k**3.
2*k**2*(k - 2)/5
Let g(d) = d**3 - 4*d**2 - 5*d + 3. Let f be g(5). Let s = 116/423 + 8/47. Factor 0 + 2/9*w**4 + 0*w + s*w**f + 2/9*w**2.
2*w**2*(w + 1)**2/9
Find b such that 2/9*b**4 + 2/9*b**5 + 0*b**3 + 0 + 0*b + 0*b**2 = 0.
-1, 0
Let w be (-696)/(-270) - 2 - (-2)/9. Let n(o) be the second derivative of 0 + w*o**3 + 2*o + 4/5*o**2 + 3/10*o**4. Let n(j) = 0. What is j?
-2/3
Let s = -48 - -50. Let c(f) be the second derivative of -2*f + 0 + 0*f**s + 1/12*f**4 + 1/36*f**3. Factor c(y).
y*(6*y + 1)/6
Let b(h) be the third derivative of h**2 + 1/6*h**4 - 1/10*h**5 - 1/210*h**7 - 1/6*h**3 + 1/30*h**6 + 0*h + 0. Factor b(z).
-(z - 1)**4
Factor 89 - 49 + 30*v - 45*v**2 - 45.
-5*(3*v - 1)**2
Suppose 4/3*r**2 - 2/3*r**4 - 2/3 - 8/3*r**3 + 4/3*r**5 + 4/3*r = 0. Calculate r.
-1, 1/2, 1
Factor -1/5*k**3 + 3/5*k**2 - 1/5*k**4 - 2/5 + 1/5*k.
-(k - 1)**2*(k + 1)*(k + 2)/5
Let b(l) be the first derivative of 4 + 4/3*l**3 + 4*l - 4*l**2. Factor b(q).
4*(q - 1)**2
Factor -z**4 - 2*z**2 + z**2 - 17*z**3 + 19*z**3.
-z**2*(z - 1)**2
Factor 2/3 + 8/9*z + 2/9*z**2.
2*(z + 1)*(z + 3)/9
Let c be (-7)/(-4)*(14 + -11). Let p = -5 + c. Factor -1/4*s**4 + 0 + 1/4*s**2 - 1/4*s + p*s**3.
-s*(s - 1)**2*(s + 1)/4
Suppose -4*a + 14 + 22 = 0. Factor 10*b**3 - 6*b**2 - 3*b**5 - a*b + 0 + 6 + 11*b**3 - 9*b**3.
-3*(b - 1)**3*(b + 1)*(b + 2)
Let z(v) be the third derivative of 0 + 0*v**5 - 1/60*v**6 + 0*v - 1/105*v**7 - v**2 + 0*v**4 + 0*v**3. Determine i so that z(i) = 0.
-1, 0
Let a = 57 - 54. Solve 2/3*j + 6*j**a + 0 + 4*j**2 + 8/3*j**4 = 0 for j.
-1, -1/4, 0
Let l(q) be the second derivative of -q**7/840 + q**6/270 + q**5/72 - q**4/36 + 5*q**3/6 - 3*q. Let o(a) be the second derivative of l(a). Factor o(b).
-(b - 2)*(b + 1)*(3*b - 1)/3
Find r such that 0 - 6/5*r**2 + 0*r - 2*r**4 - 16/5*r**3 = 0.
-1, -3/5, 0
Let 0*g**3 + 4/11*g**4 - 4/11*g**2 + 2/11*g - 2/11*g**5 + 0 = 0. Calculate g.
-1, 0, 1
Solve -1/3*d**2 - 4/3 - 4/3*d = 0.
-2
Let a = 14 - 10. Suppose -2*y - y = 0. Let 1/2*u - 3/2*u**3 + u**5 + y - 1/2*u**a + 1/2*u**2 = 0. What is u?
-1, -1/2, 0, 1
Let k(n) be the third derivative of 1/120*n**5 + 0*n**4 + 0*n*