 Factor 0 + l*b**2 + 0*b - 1/4*b**3.
-b**2*(b - 2)/4
Let q(a) = 7*a - 17*a - 1 - 37*a**2 + 6*a**2. Let w(h) = 3 + 58*h**2 + 30*h - 31*h**2 + 65*h**2. Let y(i) = 17*q(i) + 6*w(i). Factor y(u).
(5*u + 1)**2
Determine n so that 0*n**3 + n**2 - 1/2 + 0*n - 1/2*n**4 = 0.
-1, 1
Let o(c) be the second derivative of 25*c**4/12 - 10*c**3/3 - 5*c**2/2 - 8*c. Factor o(s).
5*(s - 1)*(5*s + 1)
Solve -4/5*a**3 - 16/5 + 4/5*a**2 + 16/5*a = 0 for a.
-2, 1, 2
Let j be 5*((-138)/(-90) - 1). Factor -8/3*d - 2/3*d**2 - j.
-2*(d + 2)**2/3
Let 0*z - 2/3*z**2 - 2/3*z**5 + 0 + 2/3*z**4 + 2/3*z**3 = 0. What is z?
-1, 0, 1
Suppose 54*s = 57*s - 6. Factor m - 3/2 - 1/6*m**s.
-(m - 3)**2/6
Let o = 13 - 13. Let l(n) be the second derivative of -n + 1/120*n**6 + 1/40*n**5 + 0*n**3 + 0*n**2 + 1/48*n**4 + o. Find a such that l(a) = 0.
-1, 0
Suppose 6*g = 3*g. Determine q so that 1 - 8*q**3 - 3 + 13*q**2 + q**2 + g*q - 4*q = 0.
-1/4, 1
Factor -32/5*w - 8/5 + 2/5*w**2 + 8/5*w**3.
2*(w - 2)*(w + 2)*(4*w + 1)/5
Suppose 2*z = -9 + 9. Let w(a) be the third derivative of 0 + 1/24*a**4 + z*a**3 - 1/30*a**5 - 2*a**2 + 1/120*a**6 + 0*a. Suppose w(s) = 0. Calculate s.
0, 1
Let z(d) = -12*d - 4. Let m be z(-4). Let f(h) be the first derivative of -m*h**2 - 8*h + 1 - 242/3*h**3. Factor f(p).
-2*(11*p + 2)**2
Let b(a) = -a**4 - a**2 + a - 1. Let j(x) = -2*x**4 + 10*x**3 + 2*x**2 - 6*x + 4. Let c(u) = -4*b(u) - j(u). Factor c(g).
2*g*(g - 1)**2*(3*g + 1)
Let j(i) = 11*i**3 + 3*i**2 - 18*i - 8. Let r(y) = 7*y**3 + 2*y**2 - 12*y - 5. Let s(n) = 5*j(n) - 8*r(n). Factor s(c).
-c*(c - 2)*(c + 3)
Let z(n) be the second derivative of n**4/60 - n**3/10 + 21*n + 3. Determine b, given that z(b) = 0.
0, 3
Let r(b) = -b**2 + 2*b + 2. Let g be r(2). Let j = g - -1. Factor -1/3*t + 0*t**2 + 1/3*t**j + 0.
t*(t - 1)*(t + 1)/3
Let d(h) = -7*h**2 - 4*h - 6. Let v(q) be the second derivative of q**4/12 + q**3/6 + q**2/2 + 10*q. Let a(n) = d(n) + 6*v(n). Factor a(x).
-x*(x - 2)
Let v = 909/4 + -227. Factor 0 + 0*j**2 + 0*j - 1/2*j**3 - v*j**5 - 3/4*j**4.
-j**3*(j + 1)*(j + 2)/4
Let n be (-6)/(-5)*40/12. Determine g so that g**3 - 17*g + 12*g**4 - 2 + 26*g**3 - n - 6*g**2 - 10*g = 0.
-2, -1, -1/4, 1
Let h(d) be the second derivative of -d**4/36 - d**3/3 + 37*d. Factor h(y).
-y*(y + 6)/3
Let t(v) be the first derivative of -v**7/840 + v**5/120 - v**3/24 - 3*v**2/2 + 2. Let o(f) be the second derivative of t(f). Solve o(p) = 0 for p.
-1, 1
Factor -2*i + i + 30 + 8*i + 2*i - 3*i**2.
-3*(i - 5)*(i + 2)
Let k(m) = -m**2 + 7*m + 5. Let r be k(7). Suppose r*f = 2*f + 6. Factor -4*q**4 + 1 + q - 2*q**f + 0*q**2 - q**5 + 5*q**4 - 2*q + 2*q**3.
-(q - 1)**3*(q + 1)**2
Factor 0 + 3/2*d - 3*d**3 - 3/2*d**2.
-3*d*(d + 1)*(2*d - 1)/2
Let d(y) be the second derivative of y**5/5 - y**4 + 4*y**3/3 - 7*y. Factor d(m).
4*m*(m - 2)*(m - 1)
Let j(g) be the third derivative of g**5/20 - g**4/8 - g**3 - 21*g**2. Find m, given that j(m) = 0.
-1, 2
Let l(t) be the third derivative of 3/8*t**4 + 1/40*t**6 - 1/2*t**3 + 0*t - 3*t**2 + 0 - 3/20*t**5. Solve l(h) = 0.
1
Let o(s) = -25*s**3 + 25*s**2 - 40*s. Let t(m) = -m**3 + m**2 - m. Let l(v) = o(v) - 30*t(v). Factor l(i).
5*i*(i - 2)*(i + 1)
Let h = -21 - -63. Solve 6 + 0*o**2 + 3*o**5 + 27*o + 48*o**2 + 10*o**4 + 8*o**4 + h*o**3 = 0 for o.
-2, -1
Let t(i) be the first derivative of i**4/7 + 8*i**3/7 + 18*i**2/7 + 16*i/7 + 12. Factor t(s).
4*(s + 1)**2*(s + 4)/7
Let u(k) be the second derivative of -k**5/20 + 7*k**4/12 - 7*k**3/6 + 4*k**2 - 4*k. Let q be u(6). Factor 2 + 1/2*c**2 + q*c.
(c + 2)**2/2
Suppose -20 = 5*v - 10*v. Let d be ((6/1)/3)/v. Factor -d - 1/2*q**2 + q.
-(q - 1)**2/2
Let o(y) be the third derivative of -y**8/168 + y**7/105 + y**6/30 - y**5/15 - y**4/12 + y**3/3 - 23*y**2. Find k, given that o(k) = 0.
-1, 1
Let n(a) be the second derivative of -a**6/105 + a**5/35 - a**4/42 + 10*a. Factor n(c).
-2*c**2*(c - 1)**2/7
Let c be 1 + 2 + (-146)/54. Let s(z) be the first derivative of -1/9*z**2 - c*z**3 - 3 + 4/9*z + 1/6*z**4. Solve s(i) = 0 for i.
-2/3, 1
Factor 0*g**4 - 2*g**4 + 28*g**3 - 26*g**3.
-2*g**3*(g - 1)
Let z(h) be the third derivative of h**6/156 + h**5/195 - 5*h**4/156 - 2*h**3/39 - 19*h**2. Determine x so that z(x) = 0.
-1, -2/5, 1
Let a be 4*(71/30 - 4). Let s = 36/5 + a. Find l, given that -s + 2/3*l**2 + 0*l = 0.
-1, 1
Factor -3/2*k**2 + 15 - 9/2*k.
-3*(k - 2)*(k + 5)/2
Let d(r) = -3*r + 31. Let f be d(15). Let v be (-4)/(-9)*(-63)/f. Find t such that -4/9 - 2/9*t**v - 2/3*t = 0.
-2, -1
Let a be 1/(-5) + (-4)/5. Let g be (-48)/(-21) + a + -1. Factor 0 - g*n + 8/7*n**2.
2*n*(4*n - 1)/7
Let t(c) = -15*c**4 + 15*c**3 + 6*c**2 + 11*c - 4. Let u(s) = -7*s**4 + 7*s**3 + 3*s**2 + 5*s - 2. Let g(m) = -6*t(m) + 13*u(m). Factor g(j).
-(j - 2)*(j - 1)*(j + 1)**2
Let i(n) be the third derivative of 0*n + 10*n**2 + 0 + 32/3*n**3 + 1/15*n**5 - 4/3*n**4. Solve i(r) = 0 for r.
4
Let y be (-24)/(-14) - (-2)/7. Suppose 2*l = -y*l + 20, 0 = 4*c + 3*l - 27. Factor 112/3*s**2 - 32*s + 32/3 - 2/3*s**5 + 6*s**4 - 64/3*s**c.
-2*(s - 2)**4*(s - 1)/3
Let j(l) = -4*l + 0*l + 2*l - 3*l**2 + 3*l**3 + 2. Let m(q) = -4*q**3 + 4*q**2 + 3*q - 3. Let t(p) = 3*j(p) + 2*m(p). Factor t(f).
f**2*(f - 1)
Let h(t) be the second derivative of 1/10*t**5 + 0*t**2 + 0 - 7/12*t**4 + 7/30*t**6 - 1/3*t**3 - 5*t. Factor h(d).
d*(d - 1)*(d + 1)*(7*d + 2)
Let 2*c**2 + 4*c**4 - 32*c + 32*c + 2*c**2 - 8*c**3 = 0. Calculate c.
0, 1
Let d(x) be the second derivative of x**5/4 - 5*x**4/4 + 5*x**3/3 - 5*x - 6. Let d(h) = 0. What is h?
0, 1, 2
Let v(z) be the third derivative of -z**7/5880 - z**6/1680 - z**4/6 - 7*z**2. Let w(h) be the second derivative of v(h). Determine b, given that w(b) = 0.
-1, 0
Let v(k) be the first derivative of -3*k**5/5 - 3*k**4/2 + k**3 + 3*k**2 + 23. Suppose v(j) = 0. What is j?
-2, -1, 0, 1
Let 2*c**4 + 6*c**2 - 17*c**2 + 12*c**3 - 4*c**2 - 5*c**4 + 6*c = 0. What is c?
0, 1, 2
Let i(j) be the second derivative of j**7/1050 - j**6/200 + j**5/150 + 9*j**2/2 - 2*j. Let k(s) be the first derivative of i(s). Factor k(a).
a**2*(a - 2)*(a - 1)/5
Let c(g) be the third derivative of -1/120*g**5 + 7*g**2 + 0*g + 1/48*g**4 + 0*g**3 + 0. Let c(k) = 0. Calculate k.
0, 1
Let g = -88/7 - -239/14. Let -3/2 + g*n - 3*n**2 = 0. What is n?
1/2, 1
Let 0 + 2/7*z**5 - 2/7*z**3 + 0*z - 2/7*z**4 + 2/7*z**2 = 0. What is z?
-1, 0, 1
Let q(h) = 3*h**3 + 3*h. Let z(m) = -10*m**3 + m**2 - 10*m. Let v(g) = 14*q(g) + 4*z(g). Factor v(o).
2*o*(o + 1)**2
Factor -3/2 + 3/2*t**2 + 3*t - 3*t**3.
-3*(t - 1)*(t + 1)*(2*t - 1)/2
Let k be ((-54)/4)/(6/(-8)). Suppose 0 = 5*f + k - 3, 12 = r - 3*f. Factor 0*d**2 + 1/4*d**r + 0 + 0*d.
d**3/4
Let m(z) be the first derivative of -2*z**3/3 + 8*z**2 - 32*z + 5. Let m(t) = 0. What is t?
4
Let w(h) be the first derivative of h**6/120 + h**5/40 - h**3 + 1. Let z(b) be the third derivative of w(b). Determine r, given that z(r) = 0.
-1, 0
Let d(y) = -y**2 - 8*y + 12. Let h = -30 - -21. Let t be d(h). Factor -f**3 - f**2 + 0*f + 0*f + 3*f**4 - f**t.
f**2*(f - 1)*(3*f + 1)
Let q(f) = -f**3 + 31*f**2 - 59*f + 56. Let h be q(29). Suppose 1839/4*z**2 - 483/2*z**3 + 147/4*z**4 - 207*z + h = 0. What is z?
2/7, 3
Let a = -6 + 39. Let x = a + -164/5. Determine s, given that -1/5*s**2 + 1/5*s + 1/5 - x*s**3 = 0.
-1, 1
Let z(h) be the first derivative of 147/20*h**4 + 28/5*h**3 - 4 + 0*h + 6/5*h**2. Factor z(s).
3*s*(7*s + 2)**2/5
Let a(h) be the third derivative of 0 + 5*h**2 + 0*h - 1/78*h**4 + 1/39*h**3 + 1/390*h**5. Find p such that a(p) = 0.
1
Let c(s) be the first derivative of s**3/24 - 3*s**2/16 + s/4 + 6. Factor c(k).
(k - 2)*(k - 1)/8
Let t(v) be the first derivative of v**2 - 2*v + 2. Let s be t(3). Factor -2*z**4 - 4*z**2 + 3*z**5 + 5*z**s + z**2 - 2*z**3 - z**3.
3*z**2*(z - 1)*(z + 1)**2
Let s(b) = -6*b**2. Let l(g) = 5*g**2. Let c(w) = w**2 + 3*w. Let j be c(-4). Let d(f) = j*s(f) + 5*l(f). Factor d(i).
i**2
Let o(a) be the third derivative of -a**6/300 - a**5/150 - 5*a**2. Factor o(j).
-2*j**2*(j + 1)/5
Let s(h) = -h**2 + h - 1. Let j(t) = 2 + t**2 - 2 - 2 + 5*t. Let a(o) = -j(o) + 2*s(o). Solve a(n) = 0.
-1, 0
Let g = -44 + 14. Let m = -89/3 - g. Solve -c**3 - c**2 - 1/3*c + 0 - m*c**4 = 0.
-1, 0
Suppose 2*y + 239 + 161 = 0. Let a be ((-8)/30)/(16/y). Let 0 - a*v**3 + 2/3*v**4 -