.
s*(s - 2)**2*(s + 1)/3
Let p(o) be the third derivative of o**5/150 + o**4/60 - 2*o**3/15 - 9*o**2. Factor p(s).
2*(s - 1)*(s + 2)/5
Let i be 1/(((-9)/(-3))/9). Determine d, given that 2*d**3 - 3*d - 5*d**3 + 3*d**2 - i*d**4 + 6*d = 0.
-1, 0, 1
Let g(v) = -v**3 - 6*v**2 - 2*v - 9. Let k be g(-6). Suppose -k*p + 2*p + 3 = 0. Let 0 - 2/5*q**4 - 6/5*q**5 + 0*q**p + 0*q + 0*q**2 = 0. Calculate q.
-1/3, 0
Let 2/9*z**2 + 0 + 0*z + 4/9*z**3 + 2/9*z**4 = 0. What is z?
-1, 0
Solve -6/7 + 9/7*q + 15/7*q**2 = 0 for q.
-1, 2/5
Let y(r) be the second derivative of -1/12*r**4 - 4*r + 0 + 0*r**2 - 1/3*r**3. Factor y(t).
-t*(t + 2)
Let q be -1 + 5 + 158/(-40). Let n(a) be the third derivative of 0*a**4 + 0*a**3 + 0 + 1/168*a**8 + 0*a - a**2 - 1/30*a**5 - 1/35*a**7 + q*a**6. Factor n(c).
2*c**2*(c - 1)**3
Suppose 0 = 4*v - 13*v. Let q(b) be the second derivative of b + v*b**2 + 1/24*b**3 + 1/48*b**4 + 0. Find i, given that q(i) = 0.
-1, 0
Suppose 0 = 4*a - 6*a + 12. Suppose -w = 2*w - a. Suppose 3/4*s**w - 1/4 - 1/2*s = 0. Calculate s.
-1/3, 1
Let p = 4 + 1. Factor -6*x**3 - p*x - 8 + 25*x - 8*x**2 - 4*x**5 + 16*x**4 - 10*x**3.
-4*(x - 2)*(x - 1)**3*(x + 1)
Suppose -m - 17 = -y + 5*y, m = 5*y + 19. Let n(h) = h**2. Let a(v) = 4*v**2 + 2*v. Let c(s) = y*n(s) - a(s). Suppose c(k) = 0. What is k?
-1/4, 0
Let i(f) be the second derivative of -3*f**6/10 + 3*f**5/4 - 7*f**4/12 + f**3/6 + 6*f. Find x such that i(x) = 0.
0, 1/3, 1
Let r(b) = 4*b**2 - b - 5. Let c(y) = y**2 - 7*y - 7. Let s be c(7). Let i(w) = 9*w**2 - 2*w - 11. Let t(a) = s*r(a) + 3*i(a). Factor t(n).
-(n - 2)*(n + 1)
Let i = 21 + -19. Let l(a) = a - 1. Let t be l(3). Determine p so that 3*p**i - 2*p**t - 3*p**2 + 2 + 2*p - 2*p**3 = 0.
-1, 1
Let v(c) = -7*c**3 - 7*c**2 + 2*c + 2. Let a(g) = 9*g - 20*g**2 - 3*g - 24*g**3 + 6 + 4*g**3. Let k(n) = -5*a(n) + 14*v(n). Factor k(f).
2*(f - 1)*(f + 1)**2
Let 4*g + 2*g - 8*g**2 + g - 1 - 16*g**3 = 0. What is g?
-1, 1/4
Let j(k) be the first derivative of 12*k**3 - 24*k**2 + 16*k - 2. Factor j(r).
4*(3*r - 2)**2
Let p(i) be the third derivative of 0*i**4 + 1/210*i**5 + 0 + 0*i - 3*i**2 - 1/21*i**3. Factor p(z).
2*(z - 1)*(z + 1)/7
Let u(t) be the third derivative of 1/36*t**4 - 1/3*t**3 + 0*t + t**2 + 0 + 0*t**5 - 1/540*t**6. Let y(r) be the first derivative of u(r). Factor y(w).
-2*(w - 1)*(w + 1)/3
Let b(u) be the third derivative of -u**7/8820 - u**6/420 - 3*u**5/140 + 5*u**4/24 - 4*u**2. Let a(w) be the second derivative of b(w). Factor a(d).
-2*(d + 3)**2/7
Let q be 6/(-2)*-1 + 7/(-7). Factor q + 2/9*v**2 + 4/3*v.
2*(v + 3)**2/9
Suppose -12 = 4*q - 8*q. Find m, given that -12*m + 2*m + m + q*m**3 - 6 = 0.
-1, 2
Let x(m) = m**2 - 6*m + 2. Let a be x(6). Let u(v) = -8*v**2 + 55*v + 7. Let q be u(7). Factor 2/9*c**a - 4/9*c + q.
2*c*(c - 2)/9
Let o = 7 + -7. Suppose o = -0*s - 3*s. Solve 0*i - 2/3*i**4 - 1/3*i**5 - 1/3*i**3 + 0*i**2 + s = 0 for i.
-1, 0
Let c(v) = 6*v**4 - 12*v**3 + 6*v - 9. Let p(z) = 13*z**4 - 25*z**3 - z**2 + 11*z - 19. Let x(f) = -7*c(f) + 3*p(f). Factor x(d).
-3*(d - 2)*(d - 1)**2*(d + 1)
Suppose 2*y - 12 = -0*y. Let g(f) = f**2 - 5*f + 1. Let u be g(y). Let -6*d**2 + 6 + d + 3*d**3 - u*d + 3*d = 0. Calculate d.
-1, 1, 2
Let g(k) be the first derivative of -k**6/27 + 4*k**5/45 - 4*k**3/27 + k**2/9 + 6. Factor g(r).
-2*r*(r - 1)**3*(r + 1)/9
Let g be 0/1 + 4/(-12). Let i = g - -1/2. Find l such that -1/6*l**3 - i*l - 1/3*l**2 + 0 = 0.
-1, 0
Let q(x) = x + 3 - 10*x**2 - 4 + 9*x**2. Let i(c) = -c**3 + 2*c**2 + c + 4. Let y(v) = -3*i(v) - 6*q(v). Let y(h) = 0. Calculate h.
-1, 2
Factor 4/5*s**2 - 2/5*s + 0 - 2/5*s**3.
-2*s*(s - 1)**2/5
Let a(x) be the first derivative of -x**5/120 + x**4/24 - x**3/12 + 3*x**2/2 - 3. Let j(i) be the second derivative of a(i). Factor j(c).
-(c - 1)**2/2
Let p(g) = g**3 - 5*g**2 + 5*g - 2. Let w be p(3). Let j = w - -10. Factor -54*y**3 + 49*y**4 + y - 4*y**2 + 3*y + j*y**3.
y*(y - 1)*(7*y - 2)*(7*y + 2)
Suppose 0 = -n - 3 + 5. Solve -5*p**3 + 6*p**2 + n*p**2 + 7*p**3 = 0.
-4, 0
Let i(a) = a**5 - 3*a**4 - a**3 + a**2 - 2. Let s(w) = -5*w**5 + 16*w**4 + 5*w**3 - 5*w**2 + 11. Let r(b) = 33*i(b) + 6*s(b). Factor r(z).
3*z**2*(z - 1)**2*(z + 1)
Let r(n) = n**2 + n**5 + 1 + 4 - 2 + n**4 - 4. Let l(g) = 4*g**5 - g**4 + g**2 - 1. Let u(j) = -l(j) + r(j). Factor u(z).
-z**4*(3*z - 2)
Suppose 0 = -5*f + c + 22, 2*f + 5*c + 0 + 2 = 0. Suppose f*g - 5*g = 0. Determine x, given that 17*x**3 + g*x**2 - 3*x**2 - 1 - 18*x**3 - 3*x = 0.
-1
Suppose 2*m + 2*z = 16 + 2, 4*m - 26 = -2*z. Suppose 2*k + 3*b - 7 = 0, m*b = 2*k - 0*k. Determine x, given that 0 + 0*x**k - 2/11*x**4 + 0*x - 2/11*x**3 = 0.
-1, 0
Suppose 0 = 4*f - 9*f. Determine l, given that 1/2*l**3 + 0*l**2 + f*l + l**4 + 0 = 0.
-1/2, 0
Let a be (-3 - 16/(-4))*-13. Let g be (-5 - -1) + (-52)/a. Factor g - 7/4*l**2 + 1/2*l + 7/4*l**4 - 1/2*l**3.
l*(l - 1)*(l + 1)*(7*l - 2)/4
Let o = 18 + -14. Let n(p) be the second derivative of 2*p + 1/5*p**2 + 2/15*p**3 + 0 + 1/30*p**o. Factor n(x).
2*(x + 1)**2/5
Let d(t) be the second derivative of -3*t**5/100 + t**4/5 - 3*t**3/10 + 2*t. Find m such that d(m) = 0.
0, 1, 3
Let s(j) be the second derivative of -j**6/20 + 9*j**5/20 - 9*j**4/8 + j**3 - 32*j. Find z such that s(z) = 0.
0, 1, 4
Let w = 33 - 29. Let -t**3 + 2*t - 3*t**2 - 46 + t**w - t + 48 = 0. Calculate t.
-1, 1, 2
Let w be 129/105 - (-7)/35. Solve 0*d + 0 - w*d**5 - 16/7*d**4 + 4/7*d**2 - 2/7*d**3 = 0.
-1, 0, 2/5
Determine d, given that 8*d**4 + 2*d**3 - 2*d**3 + 2*d**5 + 4*d**3 - 2*d**4 = 0.
-2, -1, 0
Let t be (-6)/15 - 24/(-10). Factor -4*w**3 - w**t + 0*w**2 + 3*w**3.
-w**2*(w + 1)
Let o(n) be the first derivative of -n**3/12 + n**2/4 - n/4 + 6. Factor o(s).
-(s - 1)**2/4
Let z(k) = 3*k**5 + 0*k**2 - 4*k**5 - 5*k**4 - 18*k**3 + 4*k**3 + 11*k**2. Let r(v) = v**4 + v**3 - v**2. Let y(c) = -36*r(c) - 4*z(c). Factor y(i).
4*i**2*(i - 2)*(i - 1)**2
Let u(w) be the third derivative of -1/120*w**6 + 1/30*w**5 - 1/24*w**4 - 6*w**2 + 0*w + 0*w**3 + 0. Determine y so that u(y) = 0.
0, 1
Let h = -16 - -22. Let j be h/(-27) - (-174)/54. Find n, given that 26/9*n**j + 2/9*n**5 + 8/9*n - 8/3*n**2 + 0 - 4/3*n**4 = 0.
0, 1, 2
Suppose 1 = 2*v - 3. Suppose -g**2 - 2*g - 3 + 6*g - 2*g + v = 0. What is g?
1
Suppose 7*b**2 + 5*b**3 + 40*b + 20 + 11*b**2 + 7*b**2 = 0. What is b?
-2, -1
Let s(h) be the second derivative of -h**4/12 + 3*h**3/2 + 5*h**2 - 2*h. Let p be s(10). Let 0*b - 1/2*b**2 + p = 0. What is b?
0
Let k(n) = 2*n**3 - 2*n**2 - 24*n - 14. Let w(m) = -m**3 + 2*m**2 + 23*m + 15. Let t(z) = 3*k(z) + 2*w(z). Solve t(q) = 0 for q.
-2, -1/2, 3
Factor -1/4*a**4 - 3/2*a**3 + 5/4*a + 3/4 - 1/2*a**2 + 1/4*a**5.
(a - 3)*(a - 1)*(a + 1)**3/4
Let r = -106706 + 6723433/63. Let a = r + -89/7. Determine g, given that a*g - 32/9*g**2 + 14/9*g**3 - 4/9 = 0.
2/7, 1
Let t(a) be the second derivative of -a**7/98 + a**6/35 + 9*a**5/140 - a**4/7 - 2*a**3/7 - 3*a. Factor t(d).
-3*d*(d - 2)**2*(d + 1)**2/7
Let j(k) be the first derivative of k**5/30 - 2*k**4/3 + 16*k**3/3 - 7*k**2/2 - 9. Let p(d) be the second derivative of j(d). Determine i so that p(i) = 0.
4
Let y(b) be the first derivative of -3*b**4/4 + 18*b**2 + 48*b + 30. Determine p so that y(p) = 0.
-2, 4
Factor 8/9 + 10/9*c + 2/9*c**2.
2*(c + 1)*(c + 4)/9
Let z be 0*2/4*(-9 + 8). Factor z + 2/3*a**4 + 2/3*a - 2/3*a**2 - 2/3*a**3.
2*a*(a - 1)**2*(a + 1)/3
Suppose 3*m - 4*z - 7 = 5, 5*m - 20 = -3*z. Let c(t) be the second derivative of 1/10*t**5 - 1/2*t**2 + t + 1/30*t**6 - 1/3*t**3 + 0*t**m + 0. Factor c(f).
(f - 1)*(f + 1)**3
Find l, given that -4/7 + 4/7*l**2 + 6/7*l = 0.
-2, 1/2
Factor 5/4*f**3 + 5/2*f + 0 - 15/4*f**2.
5*f*(f - 2)*(f - 1)/4
Let a be (4*(-5)/(-60))/(2/18). Let y(x) be the first derivative of -20*x**2 - 16/3*x - 49/6*x**4 - 28*x**a + 3. Let y(f) = 0. What is f?
-2, -2/7
Suppose r + 3*r = 8. Suppose -r*x = -4*x + 6. Determine f so that 2*f**2 - 3*f + x*f = 0.
0
Suppose -4*j - 20 = 0, 3*i = i - 4*j - 20. Factor 0*z**2 + 1/5*z**5 - 1/5*z**3 + 0*z + 0*z**4 + i.
z**3*(z - 1)*(z + 1)/5
Let j(u) = 0 + u**2 + 0. Let o(g) = 5*g**2 - g. Let n be (-4)/8*0 + 8 + -2. Let m(z) = n*j(z) - o(z). Determine d, given that m(d) = 0.
-1, 0
Let c(j) = j**2 - 6*j - 4. Let u be (3 - 1) + (-15)/(-3). Let i be c(u). Factor -r**2 - r**4 - r**