 = -4*t**2 - 74*t + 76. Let f(l) = l**2 + 15*l - 15. Let w(q) = n*a(q) + 28*f(q). Factor w(u).
4*(u - 3)**2
Let h = -20 - -14. Let o be 1*3/h*0. Factor -2/5*j**2 + 26/5*j**4 + 18/5*j**3 + o - 4/5*j + 2*j**5.
2*j*(j + 1)**3*(5*j - 2)/5
Let w = 160/33 + -46/11. Suppose 2/3*a**2 - 7/3*a - w + 7/3*a**3 = 0. Calculate a.
-1, -2/7, 1
Let i(y) = -3*y**5 + 7*y**4 - 4*y**3 + y**2 - 3*y - 3. Let d(n) = -n**5 + n**4 + n**2 - n - 1. Let s = 15 - 16. Let g(l) = s*i(l) + 5*d(l). Factor g(a).
-2*(a - 1)**2*(a + 1)**3
Let j(p) = -p**2 - p + 1. Let f(k) be the third derivative of 2*k**2 + 7/24*k**4 + 1/12*k**5 - k**3 + 0 + 0*k. Let o(b) = f(b) + 6*j(b). Factor o(n).
-n*(n - 1)
Let l(t) be the second derivative of -14*t**6/75 - 37*t**5/25 - 22*t**4/5 - 88*t**3/15 - 16*t**2/5 + 24*t. Suppose l(m) = 0. Calculate m.
-2, -1, -2/7
Let v = 2 + 4. Let y be (-9)/(-2) - 3/v. Factor 4 - y + 2*i**2 + i**3 + i.
i*(i + 1)**2
Let r(h) be the third derivative of h**5/100 + h**4/10 + 2*h**3/5 - 10*h**2. Factor r(j).
3*(j + 2)**2/5
Let c(m) be the third derivative of m**7/490 + m**6/56 + 2*m**5/35 + m**4/14 + 12*m**2. Determine h so that c(h) = 0.
-2, -1, 0
Let i(s) = -10*s - 2. Let d(w) = 3*w + 1. Let j(h) = -7*d(h) - 2*i(h). Let g be j(-5). Factor c + 2*c**g - c**3 - 3 - 3*c**2 + 4.
-(c - 1)*(c + 1)**2
Let o(i) be the first derivative of -1/27*i**3 + 0*i**2 + 4*i - 1/54*i**4 - 4. Let g(f) be the first derivative of o(f). Factor g(k).
-2*k*(k + 1)/9
Let k(r) = 0*r**2 + 6*r**2 - 2*r - 1 + r**3 - 8. Let h be k(-6). Factor -2*w**h - 1 - 2*w**3 + w**2 - w + 5*w**3.
(w - 1)*(w + 1)**2
Let f(p) = -p**2 + 3*p - 2. Let c(h) = h**2 - 2*h + 1. Let r(s) = -2*c(s) - 3*f(s). Factor r(z).
(z - 4)*(z - 1)
Let z be 91/(-112) + (1 - 0). Let v = z - -1/16. Factor -1/2*l**2 - v*l + 0 - 1/4*l**3.
-l*(l + 1)**2/4
Suppose 7*q = 5*q - 6*q. Find n such that 2/11*n - 4/11*n**3 + 2/11*n**5 + 0*n**2 + 0 + q*n**4 = 0.
-1, 0, 1
Let l = 5/4 - 1/2. Factor l*x + 0 + 3/4*x**4 - 3/4*x**2 - 3/4*x**3.
3*x*(x - 1)**2*(x + 1)/4
Let u be (2/6)/((-1)/(-3)). Let b be (-12)/(-9)*3*u. Factor 0*p**4 + p**3 - 3*p**5 - p**4 + 3*p**b.
-p**3*(p - 1)*(3*p + 1)
Let p = 8 - 10. Let v(s) = 2*s**2 + 1. Let j be v(p). Determine k, given that j*k + 2*k**2 - 9*k - k**3 = 0.
0, 2
Suppose -9*c + 4*c = -200. Let m be 3/(-12) - (-154)/c. Factor -m*f**4 - 12/5*f - 4/5*f**5 - 2/5 - 28/5*f**2 - 32/5*f**3.
-2*(f + 1)**4*(2*f + 1)/5
Factor -8*k**2 + 10*k**4 - k**4 + 11*k**4 - 12*k**3.
4*k**2*(k - 1)*(5*k + 2)
Let b(y) be the third derivative of 0*y + 2/3*y**3 + 5*y**2 + 0 - 1/12*y**4 - 1/30*y**5. Factor b(z).
-2*(z - 1)*(z + 2)
Let j be (4/8)/(1/6). Factor 4 + u**j - 1 - 3.
u**3
Let i = 8 - 1. Factor -2*c**4 + c**3 - 34*c + 0*c**2 - i*c**3 + 4 + 40*c - 2*c**2.
-2*(c - 1)*(c + 1)**2*(c + 2)
What is t in 56 + 5*t**2 - 114 + 58 - 5*t = 0?
0, 1
Let q be ((-2)/18)/(((-40)/24)/5). Determine k so that 0 - q*k**2 - 1/3*k**3 + 0*k = 0.
-1, 0
Let k = 133 + -133. Determine f, given that -2/7*f**2 + 0*f**3 + 2/7*f**4 + 0 + k*f = 0.
-1, 0, 1
Let x(a) be the third derivative of a**7/6300 - a**6/1800 - a**5/150 + a**4/12 - a**2. Let d(v) be the second derivative of x(v). Suppose d(n) = 0. What is n?
-1, 2
Let d(q) = -q**3 - 10*q**2 - 15*q - 8. Let h(b) = 4*b**3 + 49*b**2 + 75*b + 41. Let l(v) = -11*d(v) - 2*h(v). Factor l(s).
3*(s + 1)**2*(s + 2)
Let x = 14 - 9. Suppose -x*f + 8 = -f. What is r in -2/5*r - 2/5*r**f + 0 + 4/5*r**3 = 0?
-1/2, 0, 1
Let v(u) be the second derivative of u**4/60 - u**2/10 + 5*u. Factor v(j).
(j - 1)*(j + 1)/5
Find k, given that 184/5*k**2 - 32/5 + 132/5*k**3 + 48/5*k + 28/5*k**4 = 0.
-2, -1, 2/7
Let b(t) be the second derivative of -t**7/98 + t**6/70 + 3*t**5/140 - t**4/28 + 12*t. Suppose b(c) = 0. What is c?
-1, 0, 1
Suppose -a = -6*a + 10. Suppose -2 = -a*l + 2. Factor 0 - 2/5*t**l - 2/5*t.
-2*t*(t + 1)/5
Let h(x) be the third derivative of -x**5/80 - 5*x**4/32 + 2*x**2. Let h(n) = 0. Calculate n.
-5, 0
Let h(x) be the first derivative of -4*x**3/3 - 12*x**2 - 36*x - 16. Factor h(l).
-4*(l + 3)**2
Let m(l) = -2*l - 16. Let j be m(-11). Suppose -p = -j*p + 10. Determine t so that -9 - p*t**2 + 0*t**2 + t**2 + 6*t = 0.
3
Suppose 0*a + 2/3*a**2 - 2/3*a**3 + 0 = 0. Calculate a.
0, 1
Let h = 5 - 5. Suppose h*r - 12 = -4*r. Suppose -2*y**4 + 3*y**3 + y**2 - 9*y**r - 5*y**2 = 0. What is y?
-2, -1, 0
Let p(d) be the first derivative of d**4/5 + 4*d**3/15 - 3. Determine m, given that p(m) = 0.
-1, 0
Factor 0*r - 4*r - 4*r - 4 + 2*r**3 + 2*r.
2*(r - 2)*(r + 1)**2
Let u(v) = -2*v**2 + 10*v + 22. Let p(k) = -k**2 - k + 1. Let c(b) = -6*p(b) + u(b). Factor c(q).
4*(q + 2)**2
Let x(w) be the first derivative of w**4/14 + 15. Find a such that x(a) = 0.
0
Let n = -69 - -69. Find d, given that 0*d - 1/3*d**5 + 0*d**3 + 0 - 1/3*d**4 + n*d**2 = 0.
-1, 0
Suppose 0 = -0*b + 2*b - 3*r - 10, b - 5*r - 12 = 0. Let z(u) be the first derivative of -2/3*u**3 + u**b - 1 + 0*u. Factor z(j).
-2*j*(j - 1)
Let n(a) be the third derivative of a**10/10080 + a**9/5040 + a**4/6 - 2*a**2. Let i(s) be the second derivative of n(s). Factor i(f).
3*f**4*(f + 1)
Let y be (-118)/(-6) - (7 + -4 + 0). Factor -8/3 - 40/3*j - y*j**2.
-2*(5*j + 2)**2/3
Factor 1 + 3*w**2 + 4 + 4 - 3 - 9*w.
3*(w - 2)*(w - 1)
Let a(p) be the second derivative of -p**7/21 + p**6/3 - p**5 + 5*p**4/3 - 5*p**3/3 + p**2 - 3*p. Suppose a(i) = 0. What is i?
1
Let k(o) = o**2 + o. Let m(j) = -3*j**5 - 15*j**4 - 27*j**3 - 18*j**2 - 3*j. Let x(t) = 3*k(t) - m(t). Factor x(y).
3*y*(y + 1)**3*(y + 2)
Suppose -3*f = v - 6, 0 - 10 = -5*f + 3*v. Factor f*b + 3*b**2 + 6 - 11*b + 2*b**2 - 2*b**2.
3*(b - 2)*(b - 1)
Suppose o = -2*h + 6*h - 10, h = -5*o - 8. Let i be h/(-3) + (-16)/(-15). Factor i*p + 2/5*p**5 - 4/5*p**3 + 0*p**2 + 0*p**4 + 0.
2*p*(p - 1)**2*(p + 1)**2/5
Let z(k) = 2*k**2 - 24*k - 14. Let t(m) = -5*m**2 + 70*m + 42. Let u(h) = 4*t(h) + 11*z(h). Let u(v) = 0. What is v?
-7, -1
Let j(h) = h**3 - 10*h**2 - h + 14. Let u be j(10). Let y be (3/(-15)*0)/u. Factor y*v**2 - 4/7*v**3 + 4/7*v + 2/7*v**4 - 2/7.
2*(v - 1)**3*(v + 1)/7
Let i(w) = w**2 + 13*w + 15. Let r be i(-12). Solve 2*v + r*v**2 - 2*v**2 + v**2 = 0 for v.
-1, 0
Let c(l) = l**2 + 8*l - 153. Let p be c(9). Factor p - 2/7*s**2 + 4/7*s**3 - 2/7*s.
2*s*(s - 1)*(2*s + 1)/7
Let r(w) be the second derivative of 0*w**3 + 1/2*w**2 + 1/48*w**4 + 0 - w + 0*w**5 - 1/240*w**6. Let p(d) be the first derivative of r(d). Factor p(f).
-f*(f - 1)*(f + 1)/2
Factor 0*w**2 + 8/5 - 12/5*w + 4/5*w**3.
4*(w - 1)**2*(w + 2)/5
Let z be (0/(-13))/(2 - -1). Find c, given that 1/4*c**3 + z - 1/2*c**2 + 1/4*c = 0.
0, 1
Find h, given that -3*h**2 + 2*h**2 + 3*h**2 + 2*h**2 - 8*h = 0.
0, 2
Let t(h) be the second derivative of h**8/26880 - h**7/5040 - h**6/2880 + h**5/240 + h**4/3 - 3*h. Let a(l) be the third derivative of t(l). Factor a(i).
(i - 2)*(i - 1)*(i + 1)/4
Let h be -1*(-3 + 6 - 3 - 0). What is c in 1/2*c + h + 1/2*c**2 = 0?
-1, 0
Let z = 5 - 5. Determine a, given that -a + 3*a**3 + z*a + 2*a - 4*a**3 = 0.
-1, 0, 1
Let g(p) be the second derivative of 1/24*p**4 - 2*p + 0 + 0*p**2 + 0*p**3. Factor g(a).
a**2/2
Let k be 1/1*(-1 - 8). Let v be k/(-4) - (-7)/(-28). Factor -10/9*f**3 + 2/9*f**4 + 2*f**v - 14/9*f + 4/9.
2*(f - 2)*(f - 1)**3/9
Let z(l) be the third derivative of -l**5/15 - 7*l**4/6 + 16*l**3/3 - 6*l**2 + 2*l. Determine y so that z(y) = 0.
-8, 1
Solve -o**2 - 2*o + 0*o + o = 0 for o.
-1, 0
Let m(j) be the second derivative of 0*j**2 - 4/5*j**6 - 1/3*j**7 + 5*j - 3/10*j**5 + 0 + 0*j**3 + 1/3*j**4. Let m(g) = 0. What is g?
-1, 0, 2/7
Let v(m) = -m**2 - 6*m + 1. Let i be v(-7). Let c = i - -8. Suppose 12/7*g**c + 2/7*g**4 + 2/7 - 8/7*g**3 - 8/7*g = 0. What is g?
1
Let y(l) be the second derivative of 0 + l**3 - 3/20*l**5 - 1/4*l**4 + 0*l**2 - 3*l. Factor y(v).
-3*v*(v - 1)*(v + 2)
Solve 0*r**2 + 2/5*r**3 - 6/5*r - 4/5 = 0 for r.
-1, 2
Find q, given that -9*q**2 + 192/5 - 144/5*q - 3/5*q**3 = 0.
-8, 1
Let b(k) be the second derivative of -1/120*k**6 + 1/24*k**3 + 0 + 1/48*k**4 + 0*k**2 - k - 1/80*k**5. Factor b(h).
-h*(h - 1)*(h + 1)**2/4
Let i(o) be the second derivative of o**6/6 - o**5/4 - 5*o**4/4 + 25*o**3/6 - 5*o**2 + 9*o. Factor i(p).
5*(p - 1)**3*(p + 2)
Let b(o) = -o**3 + o + 1. Let v(a) = -16*a**2 + 42*a - 30. Let h(c) = 2*b(c) - v(c). Sol