 a**3/4 - 5*a**2/8 + a/2 + 14. Suppose l(t) = 0. What is t?
-2, 1
Let v(d) = 5*d**3 + 3*d**2 + 4*d - 4. Let r(o) = -o**3 - o**2 - o + 1. Suppose -2*j - 4 = -6*j. Let f(p) = j*v(p) + 4*r(p). Factor f(l).
l**2*(l - 1)
Suppose 3*l - 1 - 14 = 0. Suppose 4*h = -5*h. Factor -1/2*i**2 + h*i**3 + 1/4*i**l + 1/2*i**4 + 0 - 1/4*i.
i*(i - 1)*(i + 1)**3/4
Suppose -2*o + 6 - 2 = -s, 6 = 3*o + s. Let p be (-21)/(-9) - (-2)/3. Find m such that -6*m - 2*m**p - 6*m**o + 1 - 4 + 2 - 1 = 0.
-1
Let l(s) be the third derivative of -s**6/24 + s**5/12 + 5*s**4/24 - 5*s**3/6 - 13*s**2. Factor l(g).
-5*(g - 1)**2*(g + 1)
Factor 18*q - 12*q**2 + 2*q**3 - 20 + 20.
2*q*(q - 3)**2
Let l(u) = -u**3 - u**2 - u. Let t(q) = -5*q**3 + 3*q**2 + 5*q. Let w(b) = 3*l(b) - t(b). Factor w(j).
2*j*(j - 4)*(j + 1)
Suppose 2*n - 10 + 10 = 0. Let w(l) be the first derivative of -2*l**3 + n*l**2 + 8*l + 1/2*l**4 - 2. Solve w(p) = 0 for p.
-1, 2
Let m(t) = -14*t**5 - 22*t**4 - 8*t**3 - 2*t. Let d(u) = u**5 + u**4 + u. Let a(w) = 2*d(w) + m(w). Factor a(o).
-4*o**3*(o + 1)*(3*o + 2)
Let t(u) be the third derivative of u**8/1344 + u**7/840 - u**6/480 - u**5/240 + u**2. Factor t(f).
f**2*(f - 1)*(f + 1)**2/4
Factor 1/2*m + 1/2*m**4 - 3/2*m**2 - 1/2*m**3 + 1.
(m - 2)*(m - 1)*(m + 1)**2/2
Let o = -4 - -7. Factor c**o + 0*c**3 - 2*c**4 + 2*c**5 + 0*c**5 - c**5.
c**3*(c - 1)**2
Suppose 2*g + 8*g**4 + 0*g**2 + 0*g**5 + 8*g**2 + 2*g**5 - 4*g**3 + 16*g**3 = 0. Calculate g.
-1, 0
Let h = -18 - -164/9. Let q(a) be the first derivative of -2 - 2/3*a - h*a**3 + 2/3*a**2. Solve q(w) = 0 for w.
1
Let q(y) be the second derivative of -y**6/90 - y**5/30 + 2*y**4/9 - 29*y. Factor q(m).
-m**2*(m - 2)*(m + 4)/3
Let b(q) = -q**3 + 8*q**2 + 1. Let v be b(8). Let m be 2 + (-2 - (v - 1)). What is t in 0*t + m + 5/3*t**3 - 2/3*t**2 = 0?
0, 2/5
Let m(i) be the second derivative of -1/75*i**6 - 1/315*i**7 + 0 - 1/75*i**5 + 1/45*i**4 + 1/15*i**3 - 6*i + 1/15*i**2. Factor m(r).
-2*(r - 1)*(r + 1)**4/15
Let d(m) be the second derivative of 1/14*m**3 - 5*m - 1/28*m**4 + 0*m**2 + 0. Determine y, given that d(y) = 0.
0, 1
Let q(g) be the third derivative of g**7/840 + g**6/120 + g**5/40 + g**4/24 + g**3/24 - 6*g**2. Suppose q(r) = 0. Calculate r.
-1
Let b(r) = 2*r**2 + 5*r - 5. Let g(t) = -t**2 - 3*t + 3. Let w(k) = 3*b(k) + 5*g(k). Factor w(i).
i**2
Let r be -2*(-14)/(-8)*1392/(-2030). What is f in 18/5*f**2 + 2/5 - r*f = 0?
1/3
Let z be (2/(-32))/((-105)/2). Let q(l) be the third derivative of -2/525*l**7 - z*l**8 + 1/60*l**4 + 0*l**3 + 1/75*l**5 + 0 + 0*l**6 - l**2 + 0*l. Factor q(h).
-2*h*(h - 1)*(h + 1)**3/5
Let q(w) = 7*w**3 + 12*w**2 - 2*w - 2. Let i(u) = 15*u**3 + 25*u**2 - 5*u - 5. Let r(l) = 2*i(l) - 5*q(l). Factor r(d).
-5*d**2*(d + 2)
Let z(u) be the first derivative of 2*u**6/3 + 58*u**5/5 + 68*u**4 + 458*u**3/3 + 156*u**2 + 72*u + 12. Find s, given that z(s) = 0.
-6, -1, -1/2
Solve -o - 1/10 + o**3 - 11/10*o**4 + 6/5*o**2 = 0.
-1, -1/11, 1
Let t(r) be the first derivative of 0*r - 1/6*r**3 + 1/8*r**4 - 4 + 0*r**2. Factor t(b).
b**2*(b - 1)/2
Let b(j) = 11*j**3 + 7*j**2 - 6*j - 12. Let q(x) = -16*x**3 - 11*x**2 + 9*x + 18. Let p(c) = -7*b(c) - 5*q(c). Suppose p(i) = 0. Calculate i.
-2, -1, 1
Let i(o) be the third derivative of o**5/105 - 10*o**4/21 + 200*o**3/21 - o**2 + 10*o. Factor i(k).
4*(k - 10)**2/7
Suppose c - 5 = 0, 3*r - 2*r - c = -2. Let t(m) = m**3 - 3*m**2 + m - 1. Let x be t(r). Factor 2*y**2 - 2*y + x - 2 - 4*y**2.
-2*y*(y + 1)
Let q(y) be the third derivative of y**8/3864 - 2*y**7/2415 - y**6/690 + 2*y**5/345 + y**4/276 - 2*y**3/69 + 8*y**2. Determine f so that q(f) = 0.
-1, 1, 2
Factor 0 - 1/2*m**2 - 1/10*m**4 + 2/5*m**3 + 1/5*m.
-m*(m - 2)*(m - 1)**2/10
Let d = 14468 + -217096/15. Let c = d - -17/3. Factor -2/5*a**3 + c*a - 1/5*a**5 + 3/5*a**4 - 1/5 - 2/5*a**2.
-(a - 1)**4*(a + 1)/5
Let d = 11 - 21. Let m be 12/d*(-10)/9. Suppose 4/3 - m*f**2 - 14/3*f**3 + 14/3*f = 0. Calculate f.
-1, -2/7, 1
Let z(o) be the third derivative of -o**8/40320 + o**7/5040 + o**5/15 - o**2. Let t(l) be the third derivative of z(l). Solve t(d) = 0.
0, 2
Let x(p) be the third derivative of 0*p**4 + 2*p**2 + 1/60*p**5 + 0 - 5/6*p**3 + 0*p. Let i(v) = -v**2 + 4. Let t(r) = -4*i(r) - 3*x(r). Factor t(d).
(d - 1)*(d + 1)
Factor 7/2*b**2 - 7/2 - 1/4*b + 1/4*b**3.
(b - 1)*(b + 1)*(b + 14)/4
Suppose -48*f - 9 = -51*f. Factor 2/3 - 14/9*m + 10/9*m**2 - 2/9*m**f.
-2*(m - 3)*(m - 1)**2/9
Let b = 29 + -25. Suppose 3 + 5 = b*o. Factor -1/2*f**3 - 1 + 1/2*f + f**o.
-(f - 2)*(f - 1)*(f + 1)/2
Let j(a) = a**2 - 7. Let q be j(-3). Factor x - x**2 - 3 + 2*x**q + 5 + 2*x.
(x + 1)*(x + 2)
Let b(w) be the first derivative of w**3/6 + w**2/2 - 2. Factor b(n).
n*(n + 2)/2
Suppose -4*i = -6*i + 8. Solve 4*l - i*l - 3*l**2 + 3*l**3 = 0.
0, 1
Suppose 45 = 28*p - 13*p. Suppose 7*m = 4*m. Suppose 0*d**2 - 1/4*d**4 + 0*d + m*d**p + 0 = 0. Calculate d.
0
Let m(l) be the second derivative of -2*l**6/15 + l**5/5 + 10*l. Find d such that m(d) = 0.
0, 1
Let r(v) = v**3 + 6*v**2 - 6*v + 9. Let u be r(-7). Let z be (-7)/(-2) - 4/8. Let -z*j + 5*j + j**u + 0*j**2 = 0. What is j?
-2, 0
Factor 2*v**2 - v - 6*v**3 + v + 5*v - v.
-2*v*(v - 1)*(3*v + 2)
Suppose 0 = -b - 5*y + 23, 0 = -2*b + 4*y - 8*y + 22. Let j(i) be the first derivative of -i**2 - b + 4*i - 2/3*i**3. Factor j(h).
-2*(h - 1)*(h + 2)
Let x(v) be the first derivative of -2 + 0*v**2 - 2/7*v + 2/21*v**3. Determine q so that x(q) = 0.
-1, 1
Let p(u) = -2*u**3 + u**2 - 8*u - 12. Let l(o) = -5*o**3 + 2*o**2 - 16*o - 24. Let n(g) = -3*l(g) + 7*p(g). Factor n(i).
(i - 3)*(i + 2)**2
Let a(b) be the second derivative of 4*b**2 - 2*b + 0 + 1/2*b**4 + 2*b**3 + 1/20*b**5. Factor a(x).
(x + 2)**3
Let n(h) = 7*h**2 - 4*h**3 + 9 + 2*h - h + 5*h**3. Let g be n(-7). Factor 4/7*m + 2/7*m**g + 0.
2*m*(m + 2)/7
Let h(d) be the third derivative of 1/180*d**6 + 0*d + 0 - 2*d**2 - 1/90*d**5 + 0*d**4 + 0*d**3. Factor h(l).
2*l**2*(l - 1)/3
Let m(l) be the second derivative of -l**8/23520 - l**7/8820 - l**4/6 - l. Let t(g) be the third derivative of m(g). Determine i so that t(i) = 0.
-1, 0
Factor -24*c**2 + 8*c**3 + 0 - 2/3*c**4 + 0*c.
-2*c**2*(c - 6)**2/3
Let r = 12 + -6. Suppose -q - m - 3*m - 12 = 0, -2*m - r = 4*q. Let 1/4*h + q + 1/4*h**2 = 0. What is h?
-1, 0
Let b(i) be the second derivative of -i**6/10 + 3*i**5/5 - i**4/2 - 2*i**3 + 9*i**2/2 - 11*i. Factor b(f).
-3*(f - 3)*(f - 1)**2*(f + 1)
Let p(c) be the first derivative of 16*c**3/3 - 2*c**2 - 13. Factor p(l).
4*l*(4*l - 1)
Let h(j) be the first derivative of j**4/10 - 2*j**3/15 - 2*j**2/5 - 1. Factor h(w).
2*w*(w - 2)*(w + 1)/5
Let y(m) be the first derivative of -1/26*m**4 + 0*m**2 - 4 + 2/39*m**3 + 0*m + 1/39*m**6 - 2/65*m**5. Find s such that y(s) = 0.
-1, 0, 1
Suppose -3 + 0 = 3*z. Let w be (-3)/6 + z/(-2). Let -12/7*l**3 + 16/7*l**4 - 6/7*l**5 + 0*l**2 + w + 2/7*l = 0. What is l?
-1/3, 0, 1
Suppose -5*q - 4 = -2*i, 3*i = 2*q - 0*i + 6. Factor q + 1/3*y**3 + 0*y**2 - 1/3*y.
y*(y - 1)*(y + 1)/3
Suppose -3*c + 3*h + 8 = h, -h - 25 = -5*c. Let r(u) be the first derivative of -1/10*u**4 + 3 + 0*u**3 + 1/30*u**c + 0*u**5 + 1/10*u**2 + 0*u. Factor r(d).
d*(d - 1)**2*(d + 1)**2/5
Suppose 4*p = -2*o - 0*o - 30, 0 = 2*p. Let l = o - -49/3. Factor 2*b**2 + l*b**3 + 1/3 + 1/3*b**4 + 4/3*b.
(b + 1)**4/3
Suppose 0 = h + q, -2*h - 16 = -3*h + 3*q. Suppose -12 = d - h*u, -5 = d + 4*u - 17. Suppose 1/4*p**2 + 1/4*p**3 + d + 0*p = 0. Calculate p.
-1, 0
Factor -12*m**2 + 7*m**2 + 4*m**2 - 5*m + 14.
-(m - 2)*(m + 7)
Let j(f) be the third derivative of 64/105*f**7 + 2/5*f**5 + 0 - 4/5*f**6 + 3*f**2 - 1/12*f**4 + 0*f**3 + 0*f. Solve j(m) = 0.
0, 1/4
Factor 0 + 0*v**3 + 2/11*v**5 + 8/11*v**2 - 6/11*v**4 + 0*v.
2*v**2*(v - 2)**2*(v + 1)/11
Factor 7*j**2 + 9 + 6*j + 3*j**3 - 2*j**3 - 9.
j*(j + 1)*(j + 6)
Let c(k) be the second derivative of k**4/36 - k**3/9 + k**2/6 + 3*k - 14. Factor c(w).
(w - 1)**2/3
Let m(f) = -f**2 - 8*f - 5. Let t be (-37)/5 - (-8)/20. Let j be m(t). Factor 0*y - 2/7*y**j + 2/7.
-2*(y - 1)*(y + 1)/7
Let o be (-114)/(-27) - 2/9. Factor -o - r**2 - 2 - r + 8.
-(r - 1)*(r + 2)
Let m(d) be the second derivative of 0*d**6 + 0*d**3 + 0*d**4 + 0*d**2 + d + 1/40*d**5 + 0 - 1/84*d**7. Factor m(p).
-p**3*(p - 1)*(p + 1)/2
Suppose -5 = 5*i + 5*x, i = 2*i