et -2*i**5 + 0*i**3 + 6*i - 36*i**2 + 9*i**3 + 52*i**2 + 3*i**3 = 0. Calculate i.
-1, 0, 3
Let m = 9 - 7. Factor -m*r**3 + 2*r**3 + r**3.
r**3
Let s(c) be the first derivative of 2/21*c**3 - 6/7*c**2 + 18/7*c + 2. Determine d so that s(d) = 0.
3
Factor -8/5*l + 4/5 + l**2 - 1/5*l**3.
-(l - 2)**2*(l - 1)/5
Let t(z) be the third derivative of -z**7/1050 + z**6/300 - z**5/300 - 22*z**2. What is f in t(f) = 0?
0, 1
Let y be (8/20)/((-6)/(-220)*2). Solve 14/3*p**4 + y*p**2 + 0 - 4/3*p - 32/3*p**3 = 0.
0, 2/7, 1
Suppose -4*y + 20 = -f, 0*f = -y + 5*f + 24. Factor 4*d + 0*d**4 - y - d**4 - 5*d**3 + 3*d**3 + 3*d**2.
-(d - 1)**2*(d + 2)**2
Suppose -5*f = -f - 3*u - 29, 0 = 5*f + 3*u - 16. Let -16*z + f + 8*z**2 + 10*z**2 - 1 - 6*z = 0. What is z?
2/9, 1
Let m = -39/14 + 223/70. Factor m + 4/5*a + 2/5*a**2.
2*(a + 1)**2/5
Suppose q - 4 = 1. Let c(m) be the third derivative of -1/60*m**4 + 0*m - 1/300*m**6 + 1/75*m**q + 2*m**2 + 0 + 0*m**3. Factor c(s).
-2*s*(s - 1)**2/5
Let f be ((-3)/(-36))/(13/4 + -3). Suppose -1/3*u**2 + 1/3 + f*u**3 - 1/3*u = 0. Calculate u.
-1, 1
Let c(g) = g**3 - 4*g**2 + 4*g - 1. Let d be c(3). Let q be (-27)/(-12) + (-3)/12. Factor 2*j**3 - 3 + 6 + 2*j**d - q*j - 5.
2*(j - 1)*(j + 1)**2
Suppose 4 = 2*r + 3*c + 3, -3*r + 7 = -c. Let m be 4/(-1 - 1) + r. Let -1 - n**3 + 3*n + 3 + m*n**3 = 0. Calculate n.
-1, 2
Let h(d) = d**3 - d**2 - 1. Let f(r) = 6*r**3 - 11*r**2 - 4*r - 7. Let w(t) = 3*f(t) - 21*h(t). Find z, given that w(z) = 0.
-2, 0
Solve 12/7 + 16/7*h + 4/7*h**2 = 0 for h.
-3, -1
Factor -4 - 18*m**2 + 4*m + 7*m**2 + 10*m**2.
-(m - 2)**2
Suppose -b = -0*b + 21. Let p be (-2 + 3)/(b/(-6)). Factor 0*o**2 + 0*o + 0 + 2/7*o**3 - p*o**4.
-2*o**3*(o - 1)/7
Let t(j) be the third derivative of j**8/1008 - j**7/315 + j**5/90 - j**4/72 - 2*j**2. Factor t(h).
h*(h - 1)**3*(h + 1)/3
Solve 0 - 1/5*k**3 + 0*k + 1/5*k**5 + 1/5*k**4 - 1/5*k**2 = 0.
-1, 0, 1
Let v(m) be the second derivative of -3*m**5/50 + 11*m**4/30 - 4*m**3/5 + 4*m**2/5 - 38*m. Factor v(l).
-2*(l - 2)*(l - 1)*(3*l - 2)/5
Factor 2/9*o**3 + 0*o + 0 + 8/9*o**2.
2*o**2*(o + 4)/9
Factor 27*h**5 - 30*h**5 + 3*h**3 + 5*h**2 - 3*h**4 - 2*h**2.
-3*h**2*(h - 1)*(h + 1)**2
Suppose 1 = -3*w - 5*t + 3, 2*w = 2*t + 28. Factor 3*a**3 + 3 + 2 - w*a + 1.
3*(a - 1)**2*(a + 2)
Let d be (-35)/(-5) - (1 + -1). Let q be d/(-2)*4/(-2). Factor -2*x**3 + q + 3*x + 3*x**2 - 6 + 3*x**3.
(x + 1)**3
Let n = 626/231 - 80/33. Solve -82/7*r**2 - 8/7 - 50/7*r**5 + n*r**3 + 48/7*r + 90/7*r**4 = 0.
-1, 2/5, 1
Let x be 60/35 - (-2)/7. Factor 3*u + 3*u**2 + 5 - x + 4*u - u.
3*(u + 1)**2
Let t(a) be the third derivative of -a**5/75 - a**4/30 + 4*a**3/15 + 15*a**2. Factor t(l).
-4*(l - 1)*(l + 2)/5
Factor -8 - 4*v**2 - v**2 + 308*v + 18 - 313*v.
-5*(v - 1)*(v + 2)
Let l = -1269 + 5201/4. Let d = l - 31. Let 3/4*r**4 + 5/4*r**3 - 1/2 - 5/4*r - d*r**2 = 0. Calculate r.
-1, -2/3, 1
Let w(v) be the third derivative of v**7/1050 + v**6/600 - v**5/100 - v**4/120 + v**3/15 - 14*v**2. Factor w(a).
(a - 1)**2*(a + 1)*(a + 2)/5
Let d(r) be the first derivative of -r**3/4 + 9*r**2/4 - 27*r/4 - 1. Factor d(l).
-3*(l - 3)**2/4
Let n(k) = -10*k + 10. Let y(c) = c**2 - 1. Let b(j) = 3*n(j) + 3*y(j). Solve b(s) = 0 for s.
1, 9
Factor -16*a**2 - 2*a**5 - 4/3 - 52/3*a**3 - 22/3*a - 28/3*a**4.
-2*(a + 1)**4*(3*a + 2)/3
Solve 0*o + 2/7*o**3 + 0 - 4/7*o**2 = 0.
0, 2
Factor 3/2*q**4 - 3/2*q - 9/2*q**3 + 0 + 9/2*q**2.
3*q*(q - 1)**3/2
Let i(l) be the second derivative of l**7/28 - l**6/20 - 3*l**5/20 + l**4/4 + l**3/4 - 3*l**2/4 - 7*l. Determine d, given that i(d) = 0.
-1, 1
Factor 4/7*a**4 + 0 + 0*a**3 - 4/7*a**5 + 0*a**2 + 0*a.
-4*a**4*(a - 1)/7
Suppose -3*w + 10 = 2*w. Factor -2 + 2 + 9*m - w - 7*m**2.
-(m - 1)*(7*m - 2)
Let g be ((-4)/(12/(-1)))/7. Let y(j) be the second derivative of 0*j**2 - 1/5*j**5 + 1/3*j**3 + 0*j**6 + 0*j**4 + g*j**7 - j + 0. Factor y(c).
2*c*(c - 1)**2*(c + 1)**2
Factor 0 + 3/5*v**4 - 3/5*v**5 - 3/5*v**2 + 3/5*v**3 + 0*v.
-3*v**2*(v - 1)**2*(v + 1)/5
Let k(s) = s**3 - 10*s**2 + 4. Let a be k(10). Factor -970*n**3 - 152*n - 125*n**2 + 16 - 84*n**5 + 681*n**2 + 800*n**a - 166*n**5.
-2*(n - 1)**2*(5*n - 2)**3
Let t(o) be the second derivative of -1/27*o**3 - 1/135*o**6 + o + 1/45*o**5 - 1/9*o**2 + 1/27*o**4 + 0 - 1/189*o**7. Let t(j) = 0. Calculate j.
-1, 1
Find l, given that -326 + 15*l**3 - 23*l**2 - 167*l**2 - 34 + 660*l = 0.
2/3, 6
Factor -8/5*k**2 - k**3 - 1/5*k**4 + 0 - 4/5*k.
-k*(k + 1)*(k + 2)**2/5
Let w = 14 + -10. Factor -2*o**2 - w*o**2 + 2*o + 4*o**2.
-2*o*(o - 1)
Let d(a) = -a**2 - 21*a. Let u(i) = 2*i**2 + 22*i. Let w(q) = -3*d(q) - 4*u(q). Determine h, given that w(h) = 0.
-5, 0
Let z(y) be the third derivative of 0*y**3 + 1/96*y**4 + 1/120*y**5 + 1/480*y**6 + 0 + 0*y - 2*y**2. Determine r, given that z(r) = 0.
-1, 0
Let y(n) = n**3 + 6*n**2 + 5. Let q be y(-6). Find i such that 0*i + 8*i**4 - 8/3*i**3 + 0*i**2 - 6*i**q + 0 = 0.
0, 2/3
Let f be (-42)/(-27) + 3 + 0 + -1. Suppose -14/9*w**2 - 8/9 + f*w = 0. What is w?
2/7, 2
Let x = 14 - 17. Let m be (2/x)/((-40)/15). Find z such that m*z**2 + 0 - 1/4*z = 0.
0, 1
Suppose -60 = 6*z - 10*z. Solve u + 2*u - z*u**2 + 3*u**3 + 6*u**2 + 3*u**3 = 0.
0, 1/2, 1
Let g = 989/36 + -109/4. Suppose g*c**2 + 0 - 2/9*c**3 + 0*c = 0. Calculate c.
0, 1
Let r be -3*(7/3 - 3). Suppose k - r = -0. Factor u + 20*u**2 - 19*u**k + u**3 - u - u**4 - u**5.
-u**2*(u - 1)*(u + 1)**2
Let l = -30 - -30. Find r, given that -2/7*r**2 + l - 2/7*r = 0.
-1, 0
Factor 9*d**3 - 27*d - 8*d - 15 - 4*d**3 - 15.
5*(d - 3)*(d + 1)*(d + 2)
Suppose 4*x**3 + 98 + 324*x - 98 - 72*x**2 = 0. What is x?
0, 9
Suppose -3*c = 2*c - 45. Suppose 0 = 4*h - c*h. Factor -7/4*t**3 + h*t + 1/2*t**2 + 0.
-t**2*(7*t - 2)/4
Let h(r) = r**3 + r**2. Let f be h(-1). Let 0 + 0*w + 0*w**3 - 1/2*w**4 + f*w**2 - 7/4*w**5 = 0. Calculate w.
-2/7, 0
Suppose -v = -6*v + 10. Let g be ((-3)/2)/((-1)/2). Determine w so that -g*w**2 - 4*w + w**v - w**3 + 3*w = 0.
-1, 0
Let h(a) be the second derivative of a**5/70 - a**4/21 - a**3/21 + 2*a**2/7 - 6*a. Factor h(d).
2*(d - 2)*(d - 1)*(d + 1)/7
Let s = -73 - -73. Factor 0*j**3 + 0*j**2 - 1/2*j**5 - j**4 + s + 0*j.
-j**4*(j + 2)/2
Let p = 82/3 + -27. Let l(m) be the third derivative of 0*m + 1/5*m**5 + 0 - p*m**4 - 1/20*m**6 + m**2 + 1/210*m**7 + 0*m**3. Factor l(q).
q*(q - 2)**3
Suppose -3*d - 2*n = -43, n = -5*d + 4*n + 97. Suppose -4*s + 5*l + d = 0, 11 = 4*s + 2*l + 1. Suppose s - 4*i**2 + 2*i**4 - 6 + 5 = 0. Calculate i.
-1, 1
Suppose 0 = z + 2*z - 6. Let y = 237/4 + -59. Find v, given that -y*v**3 + 0 - 1/2*v**z - 1/4*v = 0.
-1, 0
Let b(q) be the first derivative of -2/9*q + 2/15*q**5 - 1/27*q**6 + 3 - 4/27*q**3 + 1/3*q**2 - 1/9*q**4. Factor b(d).
-2*(d - 1)**4*(d + 1)/9
Let g(f) be the first derivative of 0*f**2 + 1/1080*f**6 - 2/3*f**3 + 0*f - 1 + 0*f**4 + 1/360*f**5. Let a(y) be the third derivative of g(y). Factor a(v).
v*(v + 1)/3
Let w = 2 + 0. Let s(q) = 3*q**2 - q. Let d be s(w). Suppose 8*i - d*i**3 - 4*i - 18*i**2 + 216*i**4 - 22*i**3 - 224*i**5 = 0. Calculate i.
-2/7, 0, 1/4, 1/2
Let w(l) = 3*l**5 + 3*l**4 - 3*l**3 + 7*l**2 - 5*l - 5. Let x(h) = 4*h**5 + 4*h**4 - 4*h**3 + 8*h**2 - 6*h - 6. Let i(b) = -6*w(b) + 5*x(b). Factor i(j).
2*j**2*(j - 1)*(j + 1)**2
Suppose -g = 3, -25*t - g + 9 = -22*t. Factor 7/3*r**2 + 0 + 20/3*r**3 + 11/3*r**t - 2/3*r.
r*(r + 1)**2*(11*r - 2)/3
Factor 0 + 2/5*b**5 - 12/5*b**4 + 24/5*b**3 + 0*b - 16/5*b**2.
2*b**2*(b - 2)**3/5
Let h(y) be the third derivative of y**7/420 + y**6/120 - 7*y**2. Factor h(u).
u**3*(u + 2)/2
Factor 0 - 2/3*u**5 + 0*u**4 + 0*u + 2*u**3 + 4/3*u**2.
-2*u**2*(u - 2)*(u + 1)**2/3
Suppose -87 = 4*m + 21. Let k be ((-4)/(-3))/((-18)/m). Solve -2*x + 2/3 + 2*x**k - 2/3*x**3 = 0 for x.
1
Let c(g) = -g**2 - 34*g - 285. Let d be c(-18). Factor 1/2*o - 1 + o**2 - 1/2*o**d.
-(o - 2)*(o - 1)*(o + 1)/2
Let z(b) = 3*b**3 + 9*b**2 + 9*b + 7. Let k(w) = -9*w**3 - 27*w**2 - 27*w - 20. Let c(h) = -4*k(h) - 11*z(h). Factor c(n).
3*(n + 1)**3
Let r be (-1*4/9)/(-2). Solve -r*c**2 - 4/9*c - 2/9 = 0.
-1
Let x be (-76)/(-176) + (-4)/22. Let y(t) be the first derivative of 1/2*t**2 + 1 - x*t**3 - 1/4*t. Determine j so that y(j) = 0.
1/3, 1
Let n(y) = -3*y**5 + 15*y**4 + 14*y**3 - 4*y**2. Let g(w) = -w**5 + 5*w**4 + 5*w**3 - w*