0?
-1, 0
Factor -26*z**2 - 2*z**5 - 2*z**4 - 30*z**3 + 7*z**4 - 8*z - 19*z**4.
-2*z*(z + 1)**3*(z + 4)
Determine g, given that -2*g**3 + g**3 - 2*g**4 - 2*g**5 + 5*g**3 = 0.
-2, 0, 1
Let o = -4 - -3. Let q(h) = h**2 + h - 1. Let z(a) = 2*a**5 - 4*a**4 + 2*a**3 - 4*a**2 - 4*a + 4. Let l(w) = o*z(w) - 4*q(w). Factor l(k).
-2*k**3*(k - 1)**2
Let u(a) = -5*a**5 - 2*a**4 - 4*a**3 - 2*a**2 + a + 4. Let j(c) = -c**5 - c**3 - c**2 + 1. Let h(p) = 4*j(p) - u(p). Find s, given that h(s) = 0.
-1, 0, 1
Let c be (-2*9/(-15))/((-4)/(-10)). Let y(d) be the second derivative of 35/16*d**5 + 0 - 5/2*d**4 - 2*d + 9/8*d**c - 1/4*d**2. Factor y(i).
(5*i - 1)**2*(7*i - 2)/4
Let h(q) be the first derivative of 7/12*q**3 + 9/16*q**4 + 1/4*q**5 + 2 + 1/4*q**2 + 0*q + 1/24*q**6. Find u, given that h(u) = 0.
-2, -1, 0
Let c(q) = -6*q + 58. Let l be c(9). Find r, given that 7/4*r**3 - 1/2*r**l + 1/2*r + 0 - 7/4*r**2 = 0.
0, 1/2, 1, 2
Let j be (-3)/3*-1*3. Factor 0*q**2 + 2*q**3 + q + j*q + 6*q**2.
2*q*(q + 1)*(q + 2)
Suppose 0 = 3*x + 4*x - 21. Let m(i) be the third derivative of 0*i + 1/15*i**5 + 0 - i**2 + 1/6*i**x + 1/6*i**4. Let m(w) = 0. Calculate w.
-1/2
Let f = -99 - -101. What is u in u - 1/4*u**f - 1 = 0?
2
Let o(l) = l + 14. Let b be o(-12). Factor -x**3 + x**3 + b*x - x**2 - x**3.
-x*(x - 1)*(x + 2)
Let g(j) be the second derivative of -j**7/2940 + j**5/420 - 5*j**3/6 + 3*j. Let c(r) be the second derivative of g(r). Suppose c(q) = 0. Calculate q.
-1, 0, 1
Let h = -8 - -15. Suppose -h*m = -4*m - 24. Factor 2*r - 2 - m - 2*r**3 + 8 + 2*r**2.
-2*(r - 1)**2*(r + 1)
Let f(c) be the first derivative of -c**6/24 - 7*c**5/20 - 9*c**4/8 - 5*c**3/3 - c**2 - 30. Factor f(h).
-h*(h + 1)*(h + 2)**3/4
Let x(s) be the second derivative of 0*s**2 - 5*s - 4/27*s**3 + 7/90*s**5 - 2/9*s**4 + 0. Let x(w) = 0. What is w?
-2/7, 0, 2
Let w(n) be the second derivative of 0 + 0*n**3 - 1/80*n**5 + 3*n - 1/48*n**4 + 0*n**2. Factor w(z).
-z**2*(z + 1)/4
Let d(v) = v. Let n(i) = i**4 - i**2 + 4*i. Let p(f) = 12*d(f) - 3*n(f). Factor p(w).
-3*w**2*(w - 1)*(w + 1)
Let -73*t**2 + 486*t - 1715 - 32*t**2 + 249*t + 5*t**3 = 0. Calculate t.
7
Let z(w) be the first derivative of w**5/5 - w**4/4 - w**3/3 + w**2/2 - 24. Factor z(h).
h*(h - 1)**2*(h + 1)
Let x(z) be the second derivative of 1/12*z**4 + 0*z**2 + 0 + 1/20*z**5 + 0*z**3 - 2*z. Factor x(s).
s**2*(s + 1)
Let l(z) be the second derivative of 0 + 1/8*z**4 - 3*z - 1/6*z**3 - 1/40*z**5 + 0*z**2. Factor l(j).
-j*(j - 2)*(j - 1)/2
Suppose -4*a + 10 = 2*d, -2*d + 7 = 2*a + d. Factor -8 + 10*n + 4*n**2 + 2*n**2 - a*n.
2*(n + 2)*(3*n - 2)
Let t(u) = -7*u - 1. Let q be t(-1). Let y be 10/q + 1/3. Factor -1/4*v**y + 1/2*v - 1/4.
-(v - 1)**2/4
Let o(x) be the second derivative of 0 + 1/360*x**5 + 0*x**3 - 1/72*x**4 + x + 1/2*x**2. Let m(q) be the first derivative of o(q). Factor m(c).
c*(c - 2)/6
Let n(m) be the second derivative of -m**5/240 + m**4/32 - m**3/12 + m**2 + m. Let r(d) be the first derivative of n(d). Factor r(o).
-(o - 2)*(o - 1)/4
Suppose 0 = 3*m - 3 - 12. Suppose u + 4 = m*y - 18, 5*u - 30 = -3*y. Factor 2 + c**2 - u + 0.
(c - 1)*(c + 1)
Let a(d) = 3*d**3 - 3*d**2 - 4. Let f(h) = -2*h**3 + 2*h**2 + 3. Suppose 24 = -4*c + 4. Let b = 8 + c. Let u(o) = b*a(o) + 4*f(o). Find l such that u(l) = 0.
0, 1
Let y(h) be the first derivative of 3/10*h**2 + 0*h - 1/15*h**3 + 7. Suppose y(v) = 0. Calculate v.
0, 3
Let x(n) = n**2 - n - 1. Let s(k) = -2*k**2 - 3*k - 3. Let o(v) = s(v) - 3*x(v). Factor o(m).
-5*m**2
Let q = 2344/10629 + 2/1181. Suppose 2/9*x**2 + 0 - 2/9*x**4 + 2/9*x - q*x**3 = 0. What is x?
-1, 0, 1
Find x, given that -1/8*x**4 - 1/8 + 1/4*x**3 + 1/4*x**2 - 1/8*x**5 - 1/8*x = 0.
-1, 1
Let r(w) be the first derivative of 5*w**6/4 + 9*w**5/10 - 9*w**4/2 + 2*w**3 + 2. Find u such that r(u) = 0.
-2, 0, 2/5, 1
Let u = 4 - 0. Let c(s) be the first derivative of 5/9*s**2 - 4/9*s - 1 + 4/27*s**3 - 5/18*s**u. Factor c(x).
-2*(x - 1)*(x + 1)*(5*x - 2)/9
Let -1/5*p + 1/5*p**3 - 1/5 + 1/5*p**2 = 0. What is p?
-1, 1
Let i(m) = -1 + 13*m**2 - 2*m - 2 + 0*m - 2. Let u = -7 + 12. Let s(h) = 14*h**2 - 2*h - 6. Let z(y) = u*s(y) - 6*i(y). Solve z(r) = 0.
0, 1/4
Factor 0 + 1/2*w**2 - 1/2*w**3 + w.
-w*(w - 2)*(w + 1)/2
Let s(x) be the third derivative of -x**10/378000 - x**9/151200 + x**5/30 + 4*x**2. Let h(t) be the third derivative of s(t). Factor h(u).
-2*u**3*(u + 1)/5
Let s(d) = 9*d**2 + 12*d + 8. Let h = -9 + 4. Let r(k) = -14*k**2 - 18*k - 12. Let u(p) = h*r(p) - 8*s(p). Find v such that u(v) = 0.
-2, -1
Let f(p) be the second derivative of -p**6/120 + p**4/8 + 2*p**3/3 + 3*p. Let l(b) be the second derivative of f(b). Determine d so that l(d) = 0.
-1, 1
Let l = 82 - 46. Solve 23*s**2 + 16*s**2 - 3 - l*s**3 - 3 + 3 = 0 for s.
-1/4, 1/3, 1
Suppose 0 = z + 4, -2*c - 2*z - 48 = 3*c. Let i = 11 + c. Factor -2/3*w**2 + 2/3*w**i + 0*w + 0.
2*w**2*(w - 1)/3
Suppose -14 = 3*w - 5*k, 4*k - 11 = 3*w - 1. Find g such that -5/4*g**2 - w*g - 1 - 1/4*g**3 = 0.
-2, -1
Let n(y) be the first derivative of -6*y**5/5 - 11*y**4/2 - 22*y**3/3 - y**2 + 4*y - 3. Solve n(g) = 0.
-2, -1, 1/3
Let c(z) be the third derivative of z**5/12 + 3*z**4/8 - z**3 - z**2. Let m(g) = -6*g**2 - 10*g + 7. Let u(p) = -7*c(p) - 6*m(p). Factor u(k).
k*(k - 3)
Let c(t) = -9*t**2 - 6*t + 12. Let r(u) = -u**2 - u. Suppose 0 = 3*x - 0*x - 2*b - 7, -5*x - 3 = 4*b. Let q(o) = x*c(o) - 6*r(o). What is z in q(z) = 0?
-2, 2
Let d(m) be the first derivative of m**6/720 + m**5/120 + m**4/48 + m**3/3 + 2. Let c(q) be the third derivative of d(q). Factor c(h).
(h + 1)**2/2
Let z(o) be the first derivative of 0*o**2 - 4/15*o**3 + 4/25*o**5 + 7/15*o**6 - 7/10*o**4 + 2 + 0*o. Solve z(s) = 0 for s.
-1, -2/7, 0, 1
Let a(t) be the second derivative of 1/630*t**7 + 0*t**5 + 0 + 0*t**6 + 0*t**4 - 2*t + 0*t**3 + t**2. Let s(c) be the first derivative of a(c). Factor s(m).
m**4/3
Factor -1/4*a**2 - 3/2*a + 7/4.
-(a - 1)*(a + 7)/4
Let i(k) be the third derivative of 3*k**6/40 + k**5/10 - 7*k**4/8 + k**3 - 4*k**2. Determine r so that i(r) = 0.
-2, 1/3, 1
Let k(h) = 8*h**3 + 4*h**2. Let g(d) = 7*d**3 + 3*d**2. Let r(n) = 6*g(n) - 5*k(n). Factor r(w).
2*w**2*(w - 1)
Let b(i) = -6*i**2 + 3*i + 7. Let t(n) = 3*n**2 - n - 3. Let r(v) = 3*b(v) + 7*t(v). Factor r(x).
x*(3*x + 2)
Let m(s) be the third derivative of s**5/60 - s**3/2 - 4*s**2. Let l be m(-3). Solve -5*c**5 - 4*c**2 + 7*c**3 + c**2 - 3*c**4 - 2*c + l*c**2 = 0 for c.
-1, 0, 2/5, 1
Let c(q) be the second derivative of -1/4*q**5 + 3/4*q**4 + 3*q + 0 - 7/6*q**3 + q**2 + 1/30*q**6. Factor c(l).
(l - 2)*(l - 1)**3
Let f(a) be the second derivative of a**7/14 + 3*a**6/10 + 9*a**5/20 + a**4/4 - 4*a. Factor f(h).
3*h**2*(h + 1)**3
Let u(j) = -1 + 5*j - 6*j**2 + j**3 + 1. Let s(y) = y**3 - 5*y**2 + 4*y. Suppose -6*x - 1 = -25. Let f(n) = x*u(n) - 5*s(n). Factor f(w).
-w**2*(w - 1)
Let p(t) = -t**5 - t**4 + t**3 + t + 1. Let j(g) = 6*g**5 + 18*g**4 - 18*g**3 + 3*g**2 - 9*g - 9. Let q(r) = j(r) + 9*p(r). Solve q(f) = 0.
0, 1
Suppose -4*h + 6*h + 5*y = 16, 4*h - 5*y = 2. Factor 0*o + 3/5*o**4 + 0*o**h + 3/5 - 6/5*o**2.
3*(o - 1)**2*(o + 1)**2/5
Let s(d) be the first derivative of 0*d**3 + 0*d - 2/25*d**5 - 1/20*d**4 - 1/30*d**6 - 2 + 0*d**2. Suppose s(f) = 0. What is f?
-1, 0
Let l(n) be the first derivative of n**6/45 - n**5/18 - 7*n**4/36 + 2*n**3/9 - 5*n**2/2 - 2. Let g(t) be the second derivative of l(t). Factor g(x).
2*(x - 2)*(x + 1)*(4*x - 1)/3
Let i = -4 - -4. Factor 0*r + r**3 - 3*r**2 + i*r - 1 + 3*r + 0.
(r - 1)**3
Let z(s) = -45*s**3 + 121*s**2 - 65*s + 10. Let n(i) = -i**2. Let l(y) = -n(y) - z(y). Factor l(a).
5*(a - 2)*(3*a - 1)**2
Let n(r) be the third derivative of r**5/360 - r**4/72 + r**3/36 + 38*r**2. Solve n(w) = 0 for w.
1
Let i(d) be the second derivative of 13*d**5/90 + d**4/27 - 5*d. Factor i(h).
2*h**2*(13*h + 2)/9
Factor 0 - 4*m**2 - 8*m - 1/2*m**3.
-m*(m + 4)**2/2
Let o(x) = -5*x**5 + 20*x**4 + 30*x**3 - 20*x**2 - 5*x. Let b(d) = d**4 + d**3 - d**2. Let r(n) = -20*b(n) + o(n). Factor r(z).
-5*z*(z - 1)**2*(z + 1)**2
Let n be (-2 + -1)*2/(-3). Let 5*x**4 + x**4 + 4*x**5 + 3*x**n + x**2 - 6*x**2 = 0. Calculate x.
-1, 0, 1/2
Let l(r) = -r + 9. Let h be l(5). Let i(j) be the second derivative of -1/3*j**3 + 1/4*j**2 + j - 1/10*j**5 + 1/