 11/5*t + 19/5*t**2 - n*t**3 = 0. What is t?
1/3, 1, 2
Factor -6/7*c + 36/7 + 2/7*c**3 - 8/7*c**2.
2*(c - 3)**2*(c + 2)/7
Let l(h) be the second derivative of -4/45*h**6 + 1/9*h**3 - 4*h + 11/30*h**5 + 1/3*h**2 + 0 - 1/2*h**4. Factor l(c).
-2*(c - 1)**3*(4*c + 1)/3
Let j be 10/6 + (2 - 1). Let n(v) be the first derivative of -2 - 2*v + 3*v**2 + j*v**3. Factor n(r).
2*(r + 1)*(4*r - 1)
Let q(a) = 12*a**2 - 17*a + 7. Let x(d) = 4*d**2 - 6*d + 2. Let h(g) = 2*q(g) - 7*x(g). Solve h(v) = 0 for v.
0, 2
Factor 0*k + 2*k**2 + 2*k + 0*k**2 - 6*k.
2*k*(k - 2)
Let d(v) = v**2 + 1. Let p be d(1). Let y(c) be the second derivative of -1/12*c**4 + 0 + 2*c + 1/3*c**3 - 1/2*c**p. Solve y(q) = 0 for q.
1
Suppose 10 = -5*o + 4*o. Let g be o/(-8)*4/10. Factor 1/2*v + 3/2*v**3 + 0 + 3/2*v**2 + g*v**4.
v*(v + 1)**3/2
Factor 0 + 6/5*i**4 + 0*i + 2/5*i**2 - 8/5*i**3.
2*i**2*(i - 1)*(3*i - 1)/5
Let o(i) = 2*i**2 + 17*i - 4. Let b(x) = -3*x**2 - 18*x + 3. Let m = 13 + -7. Let z(k) = m*o(k) + 5*b(k). Factor z(c).
-3*(c - 3)*(c - 1)
Let r(i) = i**2 - i - 3. Let l be r(0). Let u be 3/(-4)*(1 + l). Factor -1/2*q**3 - 1/2 - 3/2*q - u*q**2.
-(q + 1)**3/2
Let i(s) be the first derivative of -5*s**7/168 - s**6/18 - s**5/30 - s**3/3 - 2. Let p(x) be the third derivative of i(x). Determine w, given that p(w) = 0.
-2/5, 0
Let n(p) be the second derivative of 2*p**7/105 + p**6/30 - p**5/15 - p**4/6 + p**2/2 + 3*p. Let v(o) be the first derivative of n(o). Factor v(m).
4*m*(m - 1)*(m + 1)**2
Solve 2 + 1/2*q**4 + 2*q - 3/2*q**2 - q**3 = 0 for q.
-1, 2
Let s(o) be the third derivative of o**6/200 - o**5/50 - o**4/40 + o**3/5 + 25*o**2. Factor s(l).
3*(l - 2)*(l - 1)*(l + 1)/5
Let p(a) be the third derivative of 2*a**7/105 - a**6/10 + a**5/15 + a**4/2 - 4*a**3/3 - 4*a**2. Factor p(r).
4*(r - 2)*(r - 1)**2*(r + 1)
Let m = 150 + -748/5. Factor 0 + 2/5*v**2 + m*v.
2*v*(v + 1)/5
Let l(z) be the second derivative of z**4/4 - z**3/2 + 10*z. Determine r so that l(r) = 0.
0, 1
Let t = -2 - -6. Suppose 0*h + 16 = h - 3*y, -h - 12 = t*y. Factor 2 + 1 - 2*k**2 + k**h - 2.
(k - 1)**2*(k + 1)**2
Let g(i) be the third derivative of -i**7/105 - i**6/24 - i**5/30 - 28*i**2. Factor g(l).
-l**2*(l + 2)*(2*l + 1)
Suppose k = -3*k + k. Determine f so that 1/2*f**2 - 1/2*f**3 + 0 + k*f = 0.
0, 1
Let o(c) be the third derivative of 0*c**5 + 6*c**2 + 0*c - 1/210*c**7 + 0*c**6 + 0 - 1/672*c**8 + 0*c**3 + 0*c**4. Factor o(u).
-u**4*(u + 2)/2
Let c(r) be the second derivative of r**5/80 - r**3/8 + r**2/4 - 48*r. Factor c(i).
(i - 1)**2*(i + 2)/4
Suppose y + 3*p = -4 - 3, 5*p + 30 = 2*y. Let a(i) = i - 5. Let h be a(y). Factor 0*c + h - 1/4*c**3 + 0*c**2.
-c**3/4
Let r(y) = y**3 + 10*y**2 - 6. Let n be r(-10). Let h be (n/(-36))/(1/4). Solve 0*j**2 + 2/3*j + 0 - h*j**3 = 0.
-1, 0, 1
Let i(m) be the first derivative of m**5/150 - m**2/2 + 2. Let x(f) be the second derivative of i(f). Let x(u) = 0. What is u?
0
Let g(b) be the third derivative of -b**9/181440 + b**8/20160 - b**7/5040 + b**6/2160 - b**5/12 + 4*b**2. Let r(d) be the third derivative of g(d). Factor r(t).
-(t - 1)**3/3
Let -5/4 - 33/8*o**2 + 13/8*o**3 - 1/8*o**4 + 31/8*o = 0. Calculate o.
1, 10
Let y be -4 + 5/(135/114). Let g(h) be the second derivative of 0*h**2 - 3*h - 1/18*h**4 + 0 + y*h**3. Factor g(z).
-2*z*(z - 2)/3
Let r be 18*(0 - 26/(-4)). Let m = r - 815/7. Factor -2/7*y**3 + 0 - m*y + 6/7*y**2.
-2*y*(y - 2)*(y - 1)/7
Let c(x) be the second derivative of 2*x + 0 - 1/6*x**3 - 3/40*x**5 + 0*x**2 + 7/24*x**4. Factor c(w).
-w*(w - 2)*(3*w - 1)/2
Let b(w) be the third derivative of -1/48*w**4 + 0*w + 1/24*w**3 + 0 + 1/240*w**5 + 4*w**2. Factor b(v).
(v - 1)**2/4
Let q = 1547/4168 - -2/521. Let k(f) be the first derivative of 1/12*f**3 + 1/2*f + q*f**2 - 1. Determine d so that k(d) = 0.
-2, -1
Let k be (-27)/(-7 + 4) + -4. Let v(h) be the second derivative of 2*h + 1/6*h**4 - 1/2*h**3 - h**2 + 0 + 3/20*h**k. Factor v(o).
(o - 1)*(o + 1)*(3*o + 2)
Let c(l) be the first derivative of 5*l**4/4 + 5*l**3/3 - 5*l**2/2 - 5*l - 10. Determine g, given that c(g) = 0.
-1, 1
Suppose -4*p + 8 = -2*p. Factor 4*m**2 - 2*m**p + m**3 - 4*m**3 + m**3.
-2*m**2*(m - 1)*(m + 2)
Let a be (-518)/(-245) + 2/15*-3. Factor -3/7*o**4 + 0 - 9/7*o**3 + a*o + 0*o**2.
-3*o*(o - 1)*(o + 2)**2/7
Determine l, given that 3/7*l**2 + 0 - 3*l = 0.
0, 7
Let r(b) be the second derivative of -b**4/4 - 2*b**3 - 6*b**2 + b. Determine s, given that r(s) = 0.
-2
Let u(o) = o**5 - o**4 + o**2 - 1. Let t(x) = -30*x**5 + 5*x**4 - 20*x**3 - 15*x**2 + 25*x + 35. Let w(d) = t(d) + 25*u(d). Factor w(c).
-5*(c - 1)*(c + 1)**3*(c + 2)
Suppose 7 = 5*x - 3. Factor -v**x - 25*v + 25*v.
-v**2
Let n be (2/(-15))/((-8)/10). Factor -1/6 - n*t**4 + 1/3*t**2 + 0*t**3 + 0*t.
-(t - 1)**2*(t + 1)**2/6
Let h be 12/(-18) + 4/6. Suppose -4*d - c = -10, h = -2*d + 3*d - 2*c - 7. Determine u, given that 0*u + u**3 + u**2 + 3*u - 4*u - u**4 + 0*u**d = 0.
-1, 0, 1
Let j(a) = -17*a**2 - 15*a + 13. Let b(z) = -9*z**2 - 7*z + 7. Let f(q) = -5*b(q) + 3*j(q). Factor f(c).
-2*(c + 2)*(3*c - 1)
Find o, given that o**3 + 0*o**4 + 0*o + 0 + 0*o**2 - 1/4*o**5 = 0.
-2, 0, 2
Factor 43*u**3 - 7 + 46*u**3 - 90*u**3 - 2*u + 5*u**2 - 1.
-(u - 4)*(u - 2)*(u + 1)
Let r(i) be the second derivative of i**7/1050 - i**6/225 - i**5/150 + i**4/15 + 2*i**3/3 - 10*i. Let l(o) be the second derivative of r(o). Factor l(u).
4*(u - 2)*(u - 1)*(u + 1)/5
Let v(q) = 10*q**3 + 18*q**2 + 6*q + 10. Let z(x) = -11*x**3 - 19*x**2 - 5*x - 11. Let l(s) = -7*v(s) - 6*z(s). Determine o, given that l(o) = 0.
-1
Let j(m) be the second derivative of -m**9/7560 + m**8/3360 + m**7/1260 - m**6/360 + m**4/6 + 2*m. Let x(y) be the third derivative of j(y). Factor x(h).
-2*h*(h - 1)**2*(h + 1)
Let y(j) be the first derivative of -7*j**6/30 - 11*j**5/30 - j**4/6 - j**2/2 - 5. Let b(p) be the second derivative of y(p). Factor b(z).
-2*z*(2*z + 1)*(7*z + 2)
Let p(q) be the first derivative of 9/20*q**5 + 15/8*q**2 + 37/12*q**3 - 2 + 33/16*q**4 + 1/2*q. Solve p(l) = 0 for l.
-2, -1, -1/3
Factor 48 - 100*z + 3*z**4 + 6*z**3 - 36*z**3 - 20*z + 99*z**2.
3*(z - 4)**2*(z - 1)**2
Let p = 5 + -3. What is b in 5*b - p*b - 2*b**2 + b + 0*b**2 = 0?
0, 2
Let y(r) be the third derivative of -r**6/40 + r**4/8 + 9*r**2. Suppose y(j) = 0. Calculate j.
-1, 0, 1
Factor 11*h**2 + 10 + 5*h + 5*h**3 - 15*h**2 + 24*h**2 + 20*h.
5*(h + 1)**2*(h + 2)
Let h be -2*(-1 + 4)/(-3). Let q(f) be the first derivative of 2 + 0*f + 2/3*f**3 + f**h. Let q(v) = 0. What is v?
-1, 0
Factor -10*s**2 + 0*s**3 + 10 + 5*s - 2*s**3 - 3*s**3.
-5*(s - 1)*(s + 1)*(s + 2)
Suppose 24/5*b**2 + 128/5 - 2/5*b**3 - 96/5*b = 0. Calculate b.
4
Factor -2546 + 2546 - 3*y**2.
-3*y**2
Suppose 6/5*m + 3/5*m**4 - 6/5*m**3 + 0*m**2 - 3/5 = 0. Calculate m.
-1, 1
Suppose -3*j**3 + 27*j**2 + 4*j - 24*j**2 + 2*j**3 = 0. Calculate j.
-1, 0, 4
Factor 52/9*f + 2/9*f**2 + 338/9.
2*(f + 13)**2/9
Let x = 132/127 - 6709/2667. Let s = -1/7 - x. Let 2/3*y**2 + 2/3 - s*y = 0. Calculate y.
1
Let r(c) = 2*c**2 + 14*c + 9. Let z be r(-6). Let u = 5 + z. What is t in 0*t - 1/5*t**u + 1/5 = 0?
-1, 1
Let d(z) be the first derivative of 4*z**3/15 + 2*z**2/5 + 26. Determine a so that d(a) = 0.
-1, 0
Let t(g) be the first derivative of -g**4/12 - 2*g**3/9 - g**2/6 + 6. Factor t(r).
-r*(r + 1)**2/3
Let k be (-3)/((-4)/(-2) + 250/(-20)). What is s in 4/7*s**4 + k*s**5 - 8/7*s**2 + 0 - 6/7*s**3 + 8/7*s = 0?
-2, 0, 1
Factor p**2 - 8*p + 4*p + 2*p + 1.
(p - 1)**2
Suppose -35 + 8 = -3*j. Let o = j + -7. Solve o*h**5 + 2*h**3 + 0*h**3 - 8*h**5 - 4*h**4 = 0.
-1, 0, 1/3
Let n(h) = 2*h**4 + h**2 - h - 1. Let m(w) = 7*w**4 + 18*w**3 - 10*w**2 - 5*w - 5. Let r(q) = -m(q) + 5*n(q). Factor r(g).
3*g**2*(g - 5)*(g - 1)
Let p(i) be the third derivative of 0*i + 1/140*i**7 - 3*i**2 + 0 + 0*i**3 - 1/80*i**6 + 0*i**4 + 0*i**5. Solve p(k) = 0.
0, 1
Let x(u) be the second derivative of 1/2*u**3 + 3/2*u**2 + 0 - 3/10*u**5 + 9*u + 1/14*u**7 - 1/2*u**4 + 1/10*u**6. Suppose x(z) = 0. What is z?
-1, 1
Let w(t) = -t**2 + 4*t + 2. Let i(k) = -k**2 - 4*k + 4. Let p be i(-4). Let b = p + -9. Let s(n) = -3*n**2 + 8*n + 3. Let v(l) = b*w(l) + 3*s(l). Factor v(u).
-(2*u - 1)**2
Let k(a) = 42*a**3 - 35*a**2 - 17*a + 5. Let v(l) = -21*l**3 + 18*l**2 + 9*l - 3. Let n(t) = 3*k(t)