 2/5*l + 0.
-2*l*(3*l + 1)/5
Let p = 275 - 273. Factor 0*b**p + 0*b**4 + 2/3*b**3 + 0 - 1/3*b - 1/3*b**5.
-b*(b - 1)**2*(b + 1)**2/3
Let s(a) be the second derivative of 1/10*a**5 - 1/3*a**4 + 0 - 3*a + 1/3*a**3 + 0*a**2. Factor s(l).
2*l*(l - 1)**2
Let h(f) = -f**3 + f**2 - 1. Let b(j) = 110*j**2 - j - 115*j**2 - 4 + 13*j**3 - 6*j. Let k(v) = 2*b(v) - 6*h(v). Factor k(g).
2*(g - 1)*(4*g + 1)**2
Suppose 4*n - b + 8 = -6*b, 5*b + 26 = 2*n. Let p be 2/4*2/n. Factor p + 1/3*d**2 - 2/3*d.
(d - 1)**2/3
Let i = -5243269/95622 - 2/47811. Let d = -107/2 - i. Determine m so that -d*m - 4/3 - 1/3*m**2 = 0.
-2
Let 3/2 - 7/4*p + 1/4*p**2 = 0. What is p?
1, 6
Factor 215*o**3 + 40 - 8*o - 105*o**4 - 53*o**2 + 50*o**2 + 10*o**5 - 112*o**2 - 37*o.
5*(o - 8)*(o - 1)**3*(2*o + 1)
Let h(z) be the third derivative of -1/18*z**4 - 1/30*z**5 + 0*z + 4/315*z**7 + 0 + 3*z**2 + 1/9*z**3 + 1/45*z**6. Suppose h(d) = 0. Calculate d.
-1, 1/2
Let k(p) be the third derivative of p**5/480 + p**4/48 + 18*p**2. Factor k(l).
l*(l + 4)/8
Let m = -15/22 + 41/44. Solve -1/4*n**4 + m*n**2 + 1/4*n**3 + 0 - 1/4*n = 0.
-1, 0, 1
Let g(k) be the second derivative of k**7/35 + 2*k**6/75 + 4*k. Suppose g(a) = 0. Calculate a.
-2/3, 0
Suppose -11*w = -7*w - 12. Let q(l) be the third derivative of 0 + 0*l**4 + 0*l**3 + 0*l + w*l**2 - 1/60*l**5. Factor q(f).
-f**2
Let n(z) be the second derivative of z**5/180 - 5*z**4/12 + 25*z**3/2 - 375*z**2/2 + 3*z - 8. Suppose n(y) = 0. Calculate y.
15
Let o(s) be the third derivative of s**7/105 + s**6/20 - 3*s**5/10 + 5*s**4/12 - 6*s**2. Factor o(j).
2*j*(j - 1)**2*(j + 5)
Let x(n) be the first derivative of 0*n - 3/10*n**4 + 2/5*n**3 + 2/25*n**5 - 3 - 1/5*n**2. Factor x(s).
2*s*(s - 1)**3/5
Let m = 20 - 20. Let v(i) be the third derivative of 0*i + m + 2*i**2 + 1/150*i**5 + 1/150*i**6 - 1/30*i**4 - 1/15*i**3. Factor v(t).
2*(t - 1)*(t + 1)*(2*t + 1)/5
Factor 0 - 1/3*s**3 + 0*s + 1/3*s**2.
-s**2*(s - 1)/3
Determine y, given that -3*y**2 - 3*y**2 + 24*y + 4*y**2 - 36 - 2*y**2 = 0.
3
Let z(r) be the third derivative of -7*r**5/180 - r**4/36 - 11*r**2. Solve z(u) = 0 for u.
-2/7, 0
Let n(d) be the third derivative of 0*d + 0 - 1/210*d**5 - d**2 - 1/84*d**4 + 1/420*d**6 + 1/735*d**7 + 0*d**3. Determine g, given that n(g) = 0.
-1, 0, 1
Let b(f) be the third derivative of -f**6/480 + f**5/40 - f**4/32 - 5*f**3/12 - 60*f**2. Solve b(h) = 0 for h.
-1, 2, 5
Let h(o) be the second derivative of o**4/2 + 5*o**3/3 + 2*o**2 + 9*o. Solve h(z) = 0.
-1, -2/3
Let h(y) = y**3 - 2*y**2 + 3*y - 3. Let u be h(2). Factor i**u + i**5 + i**5 - i**2 + i**4 - 3*i**5.
-i**2*(i - 1)**2*(i + 1)
Let h be ((-2)/14)/(480/(-70)). Let k(q) be the third derivative of -1/80*q**5 - 1/480*q**6 + 0*q + 0 + 0*q**3 + q**2 - h*q**4. Factor k(n).
-n*(n + 1)*(n + 2)/4
Let o = -7 - -1. Let a be 4/o*75/(-5). Determine b so that 18*b**3 + 4*b - 4*b**3 - 8*b**2 - a*b**2 = 0.
0, 2/7, 1
Let a be 8/(-20)*(-1 - 4). Suppose 4*v = -2*p + 6, 4*v - 10 = 4*p + a. Let 4/7*m**v + 0 + 2/7*m**3 + 2/7*m = 0. Calculate m.
-1, 0
Find r such that -28*r - 4 + 11*r**2 - 21*r**2 - 35*r**2 = 0.
-2/5, -2/9
Let v(k) be the third derivative of -k**6/420 - k**5/42 - 2*k**4/21 - 4*k**3/21 + 4*k**2. Factor v(w).
-2*(w + 1)*(w + 2)**2/7
Let p be ((-6)/3 + 3)*4. Suppose 5*z + 2*h = 10 - p, -h = -5*z - 3. Factor -4/7*i**2 + 2/7 + 2/7*i**4 + z*i + 0*i**3.
2*(i - 1)**2*(i + 1)**2/7
Let f(s) = -5*s**3 - 2*s**2 + 3*s + 6. Let g(b) = -4*b**3 - b**2 + 3*b + 5. Let l(v) = -5*f(v) + 6*g(v). Find o, given that l(o) = 0.
-3, -1, 0
Suppose -f + 2 = 2*z - 3*z, -5*f = 2*z - 31. Let 2/3 + 4/3*s**2 + 5/3*s + 1/3*s**z = 0. What is s?
-2, -1
Let m(c) = -2*c. Let z be m(-1). Let g be (z/(-1) - -4)/1. Suppose -g*a**2 - 2 + 5*a**2 + a + 0*a**2 = 0. Calculate a.
-1, 2/3
Let k(u) be the first derivative of u**3 - 3*u**2 - 9*u - 4. Factor k(s).
3*(s - 3)*(s + 1)
Let l = -2/695 - -1404/4865. Factor l*m**2 + 0 - 2/7*m**3 + 0*m.
-2*m**2*(m - 1)/7
Let p(m) be the third derivative of 0*m + 1/60*m**6 + 0 - 11/945*m**7 - 1/270*m**5 + 1/378*m**8 - 1/108*m**4 + m**2 + 0*m**3. Let p(s) = 0. Calculate s.
-1/4, 0, 1
Suppose 17 = g - 2*i - 2*i, -i = 5*g - 22. Let c(a) be the second derivative of 1/3*a**2 - 1/30*a**g + 1/9*a**3 - 2*a + 0 - 1/18*a**4. Factor c(m).
-2*(m - 1)*(m + 1)**2/3
Suppose 0 = -9*q + 4*q - 25. Let x(z) = -z**4 + z**3 + z**2 + z. Let o(l) = -6*l**4 + 4*l**3 + 6*l**2 + 6*l. Let b(i) = q*x(i) + o(i). Let b(f) = 0. What is f?
-1, 0, 1
Let y(x) = x**2 - 3*x + 2. Let n(f) = -f**2 + 3*f - 2. Let g be 210/49 - 6/21. Let i(z) = g*n(z) + 5*y(z). Factor i(j).
(j - 2)*(j - 1)
Let w(u) = -4*u**3 + 4*u. Let o(a) = -8*a**3 - a**2 + 7*a. Let d(v) = 4*o(v) - 9*w(v). Factor d(r).
4*r*(r - 2)*(r + 1)
Let c(i) be the first derivative of -7*i**6/2 - 57*i**5/5 - 3*i**4/4 + 23*i**3 + 12*i**2 - 12*i + 5. Solve c(r) = 0 for r.
-2, -1, 2/7, 1
Let m(v) = 4*v**2. Let k(z) = -8*z**2. Let s(f) = -3*k(f) - 7*m(f). Solve s(j) = 0.
0
Let o be 9 + (-2 + 2)/1. Let l be ((-6)/o)/((-1)/3). Solve 4 - 6 - m**2 - 4*m - l = 0.
-2
Let b be (-81)/7*(-133)/(-38). Let n = -40 - b. Factor n*v**3 + 0 + 1/2*v - v**2.
v*(v - 1)**2/2
Determine z so that 92*z**3 - 5*z**4 - 1 - 6*z**2 - 4*z + 4*z**4 - 96*z**3 = 0.
-1
Let s(n) = -n - 7. Let r be s(-9). Solve -24*z**4 - z**3 + 15*z**3 - 10*z + 26*z**3 + 2*z**r - 2 - 6*z**3 = 0.
-1/3, -1/4, 1
Find u such that 48*u**4 + 32*u**5 + 2*u**3 - 2*u**2 - 2*u**3 - 10*u**2 + 2*u + 2*u**3 = 0.
-1, 0, 1/4
Let d(g) be the first derivative of g**9/10584 + g**8/5880 - g**7/2940 - g**6/1260 - 2*g**3 + 9. Let o(n) be the third derivative of d(n). Factor o(b).
2*b**2*(b - 1)*(b + 1)**2/7
Let o(v) be the third derivative of 1/270*v**6 + 0 - 1/756*v**8 + 7*v**2 + 0*v**4 + 0*v**3 + 0*v - 1/315*v**7 + 0*v**5. Let o(b) = 0. Calculate b.
-2, 0, 1/2
Let n(r) be the third derivative of 5*r**8/588 - 8*r**7/105 - r**6/30 + 122*r**5/105 + 64*r**4/21 + 64*r**3/21 - 12*r**2. Find u, given that n(u) = 0.
-1, -2/5, 4
Suppose 5*z + 1 - 21 = 0. Let p(d) be the first derivative of 1/2*d**z + 2 - 10/9*d**3 + 1/3*d**2 + 2/3*d. What is y in p(y) = 0?
-1/3, 1
Let o be (-1*(-21)/14)/(3/4). Let u be ((-9)/15)/((-2)/10). Let -3/2*z + o*z**2 - 3/2*z**5 + 3*z**u - 1 - z**4 = 0. Calculate z.
-1, -2/3, 1
Let r(z) = z**3 + 4*z**2 - 6*z - 4. Let l be r(-5). Let v = l + 2. Factor -4*p**5 - 2 + 21*p**4 - 7*p**4 + 4*p**2 + 7*p - 16*p**v - 3*p.
-2*(p - 1)**4*(2*p + 1)
Let q be (0 - -5)/(-2 - -1). Let m be (-4)/2 + 7 + q. Solve -2/9*x**2 - 2/9*x + m = 0.
-1, 0
Let o(l) = -l**2 - 13*l - 12. Let t be o(-10). Let y be 6/(-27) + 16/t. Factor -y*j**3 + 0 + 4/3*j + 2/3*j**2.
-2*j*(j - 2)*(j + 1)/3
Let l(h) = h**3 + 5*h**2 - 6*h - 4. Let t be l(-6). Let w = -1 - t. Determine c, given that 0*c + c - 3*c**2 + 34*c**4 - 35*c**4 + w*c**3 = 0.
0, 1
Factor 7/2*b**4 - 5*b**2 + 2*b + 3/2 - 2*b**3.
(b - 1)**2*(b + 1)*(7*b + 3)/2
Let o(b) be the third derivative of b**5/24 - 55*b**4/48 + 4*b**2 - 4. What is n in o(n) = 0?
0, 11
Let m be ((-2)/(-10))/((-12)/(-30)). Let x be (6/8)/((-9)/(-6)). Factor 1/2*d**3 + x - 1/2*d - m*d**2.
(d - 1)**2*(d + 1)/2
Let w(q) be the first derivative of 3*q**4/22 + 34*q**3/33 - 8*q**2/11 - 24*q/11 - 31. Let w(x) = 0. Calculate x.
-6, -2/3, 1
Let d(g) be the third derivative of 2*g**2 + 1/21*g**4 + 0*g + 4/21*g**3 + 0 + 1/210*g**5. Solve d(i) = 0.
-2
Let h(v) be the first derivative of -v**3 + 6*v**2 - 9*v + 6. Suppose h(c) = 0. What is c?
1, 3
Let i(f) be the first derivative of f**6/8 - 3*f**5/4 + 9*f**4/8 + f**3/2 - 21*f**2/8 + 9*f/4 + 6. Factor i(m).
3*(m - 3)*(m - 1)**3*(m + 1)/4
Factor 16/3 - 4*h**2 + 8/3*h + 2/3*h**4 - 2/3*h**3.
2*(h - 2)**2*(h + 1)*(h + 2)/3
Let v(n) be the third derivative of 0*n**4 + 1/120*n**6 + 1/180*n**5 - 6*n**2 + 0*n + 0 + 0*n**3 + 1/315*n**7. Factor v(m).
m**2*(m + 1)*(2*m + 1)/3
Let r(j) = 42*j**4 + 95*j**3 + 69*j**2 + 13*j + 1. Let a(x) = 210*x**4 + 474*x**3 + 345*x**2 + 66*x + 6. Let i(o) = 4*a(o) - 21*r(o). Let i(u) = 0. Calculate u.
-1, -1/2, 1/7
Let i(k) = 3*k**4 - k**3 + 6*k**2 - 16*k + 4. Let m(g) = 5*g**4 - g**3 + 11*g**2 - 31*g + 9. Let y(o) = -7*i(o) + 4*m(o). Factor y(p).
-(p - 2)**2*(p - 1)*(p + 2)
Let r = -228 - -1373/6. Let h(k) be the first derivative of 1 + 1/2*k**5 + 0*k - r*k**3 + 1/4*k**4 - 1/2*k**2. Find x, given that h(x) = 0.
-