ulate v.
0, 1
Let x(v) = -v**4 + v**3 - v**2 - 1. Let b(g) = -20*g**4 + 14*g**3 - 16*g**2 + 4*g - 18. Let o(s) = 2*b(s) - 36*x(s). Find w, given that o(w) = 0.
-2, -1, 0, 1
Let o(u) be the second derivative of 3*u**6/70 - 87*u**5/140 + 41*u**4/28 - u**3/2 - 12*u**2/7 - 12*u. Determine l, given that o(l) = 0.
-1/3, 1, 8
Factor 26*t**3 - 18*t**2 + 15*t + 4*t**3 - 27*t**3.
3*t*(t - 5)*(t - 1)
Suppose a = -4*i - 13, -4*a - i = -0*i - 8. What is u in 5*u**2 - a - 3 + 2 + 8*u = 0?
-2, 2/5
Let g(o) be the third derivative of -3*o**2 + 0*o + 0*o**3 + 0 + 1/48*o**4 + 1/240*o**6 + 1/60*o**5. Let g(j) = 0. Calculate j.
-1, 0
Let a = 8 + -6. Suppose -3*u = -a*u. Determine q so that 2/9*q**2 - 2/9*q**5 + 0 + 2/9*q**3 + u*q - 2/9*q**4 = 0.
-1, 0, 1
Let a = 2975 - 2095. Let b = 4416/5 - a. Factor 2*o**3 - 8/5*o + b - 12/5*o**2 - 2/5*o**4.
-2*(o - 2)**3*(o + 1)/5
Let r(w) be the third derivative of -w**5/30 + 3*w**4/2 - 27*w**3 + 19*w**2. Factor r(b).
-2*(b - 9)**2
Let a(t) = 2*t + 0 - 3*t + 4. Let x be a(4). Factor 2/3*f**3 + 0*f**2 - 2/3*f + x.
2*f*(f - 1)*(f + 1)/3
Let m(l) = l**3 + 12*l**2 - l - 10. Let r be m(-12). Factor 1/2*o**4 - r*o**3 + 1/2 + 3*o**2 - 2*o.
(o - 1)**4/2
Let x(b) be the second derivative of -135*b**3 + b**6 + 0 - 1/21*b**7 - 9*b**5 - 2*b + 45*b**4 + 243*b**2. Factor x(t).
-2*(t - 3)**5
Suppose -2*v + 3*v = 4. Let y = v - 2. Factor -3 - c**2 + 2*c**2 + y.
(c - 1)*(c + 1)
Factor -45/2*m**2 - 21/2*m**3 - 3/2*m**4 + 0 - 27/2*m.
-3*m*(m + 1)*(m + 3)**2/2
Let o(v) be the first derivative of 6*v**3 + 27*v**2 + 1/2*v**4 + 54*v - 4. Factor o(s).
2*(s + 3)**3
Let q(n) = n**2 - n. Let w(k) = -2*k + 2*k + 3*k**3 + 5*k + 17*k**2 + 5*k + 6. Let v(h) = 5*q(h) - w(h). Determine b, given that v(b) = 0.
-2, -1
Let d(g) be the third derivative of 0*g + 2*g**2 + 0*g**3 - 1/36*g**4 + 1/90*g**5 + 0. Determine f, given that d(f) = 0.
0, 1
Let m be ((-2)/18*-10 - 1)*2. Factor -2/9*a**3 + 2/9*a**5 + 0 + 0*a + m*a**2 - 2/9*a**4.
2*a**2*(a - 1)**2*(a + 1)/9
Let a(g) be the first derivative of -g**4/4 - g**3/2 + g + 5. Let l(w) be the first derivative of a(w). Factor l(x).
-3*x*(x + 1)
Determine o, given that 2/3*o**4 + 2/3*o**3 + 0 - 2/3*o**2 - 2/3*o = 0.
-1, 0, 1
Let v(j) = -j**2 + 1. Let p(r) = -7*r**2 - 8*r - 1. Let n(m) = p(m) - 6*v(m). Suppose n(w) = 0. What is w?
-7, -1
Let y be (4/(-5))/(10/(-25)). Determine l so that 0*l - l + 2 - 3*l**3 + 5*l**3 - l - y*l**2 = 0.
-1, 1
Let i be (-3*(-16)/(-168))/(6/(-14)). Factor -i*h**2 - 2/3 - 4/3*h.
-2*(h + 1)**2/3
Let z(x) be the third derivative of -4*x**7/105 - x**6/20 + x**5/30 - 16*x**2. Suppose z(k) = 0. What is k?
-1, 0, 1/4
Let m(j) = -7*j**4 + 13*j**3 - 8*j**2 - 13*j + 15. Let k(i) = -3*i**4 + 6*i**3 - 4*i**2 - 6*i + 7. Let n(u) = -9*k(u) + 4*m(u). Determine p so that n(p) = 0.
-3, -1, 1
Let s = 56/9 - 6. Determine v so that -4/9*v + 2/9 + s*v**2 = 0.
1
Let u = -173242/1859 + 401/169. Let h = u - -91. Solve 0 + 2/11*v**2 + 0*v - 2/11*v**4 - h*v**5 + 2/11*v**3 = 0.
-1, 0, 1
Let t(q) be the second derivative of 1/252*q**7 + 3/40*q**5 + 1/36*q**6 + 1/18*q**3 + 0*q**2 + 0 + 2*q + 7/72*q**4. Factor t(w).
w*(w + 1)**3*(w + 2)/6
Factor -2/7*y**3 + 1/7 - 3/7*y**2 + 0*y.
-(y + 1)**2*(2*y - 1)/7
Let f be 7 + 120/(-70) - 5. What is i in 2/7 + 2/7*i - 2/7*i**2 - f*i**3 = 0?
-1, 1
Let z(p) be the first derivative of -6*p**3/7 - 3*p**2/2 + 9*p/7 - 7. Factor z(r).
-3*(2*r + 3)*(3*r - 1)/7
Factor 107*u - 48*u**3 - 539*u - 4*u**4 + 85*u**2 - 285 - 301*u**2 - 39.
-4*(u + 3)**4
Find u, given that -u**2 + u**2 + 2*u**2 + 2*u = 0.
-1, 0
Let q be 3 - (-3)/(-36)*47. Let s = -73/132 - q. Factor 2/11*d**2 + 2/11 + s*d.
2*(d + 1)**2/11
Let j = -9 + 12. Factor 2 - 38*l**j - 18*l - 14*l - 14*l**4 - 27*l**2 - 2*l**5 - 10 - 23*l**2.
-2*(l + 1)**3*(l + 2)**2
Suppose m - 8 = -4*c, 3*c = 2*c - 2*m + 2. Factor j**c + 17 - 17.
j**2
Let h(y) be the first derivative of -y**4/14 + 4*y**3/21 + y**2/7 - 4*y/7 + 3. Factor h(i).
-2*(i - 2)*(i - 1)*(i + 1)/7
Let r(d) = -d**4 - 2*d**3 + 14*d + 14. Let b(a) = 8*a**4 + 15*a**3 - 111*a - 111. Let i(f) = -6*b(f) - 51*r(f). Factor i(q).
3*(q - 2)*(q + 2)**3
Let m be (-8)/6*255/(-68). Let g(o) be the third derivative of 1/30*o**m + 0*o**3 + 0 + o**2 + 1/120*o**6 + 1/24*o**4 + 0*o. Factor g(d).
d*(d + 1)**2
Let p(r) be the third derivative of -r**8/560 + r**7/280 + r**3/6 - 5*r**2. Let f(t) be the first derivative of p(t). Factor f(k).
-3*k**3*(k - 1)
Let w(p) be the first derivative of 2/3*p - 2/3*p**4 + 2/3*p**3 + 4/3*p**2 + 1 - 8/15*p**5. Determine n, given that w(n) = 0.
-1, -1/2, 1
Factor 2/3*n - 2/3*n**3 + 7/3*n**2 + 0 - 7/3*n**4.
-n*(n - 1)*(n + 1)*(7*n + 2)/3
Let o be (-414)/266 - 4/(-2). Let d = o - 3/19. Find u such that 2/7*u**3 + 0 + 0*u + d*u**2 = 0.
-1, 0
Let v(r) be the second derivative of -5*r + 0 + 0*r**3 + 1/6*r**4 + 0*r**2 - 1/10*r**5. Let v(y) = 0. What is y?
0, 1
Let p(m) be the second derivative of -m**6/3 + 9*m**5/5 + 13*m**4/6 - 6*m**3 - 8*m**2 - 28*m + 1. Solve p(i) = 0 for i.
-1, -2/5, 1, 4
Suppose 0 = -y - 2*y + 36. Let r be (-2)/5 - y/(-5). Factor -7/3*b**3 + 2/3*b - 5/3*b**r + 0.
-b*(b + 1)*(7*b - 2)/3
Let l(o) be the second derivative of o**7/210 + o**6/40 + o**5/20 + o**4/24 + 5*o**2/2 + 6*o. Let t(j) be the first derivative of l(j). Factor t(h).
h*(h + 1)**3
Let n be (-232)/(-840) + 5/((-375)/10). Suppose -10/7*d**2 - 1/7*d**5 - 10/7*d**3 - 5/7*d**4 - n - 5/7*d = 0. Calculate d.
-1
Let j(p) be the second derivative of p**7/105 + 2*p**6/75 - p**5/50 - p**4/15 + 3*p. Solve j(o) = 0.
-2, -1, 0, 1
Factor -4/7*a + 2/7 + 2/7*a**2.
2*(a - 1)**2/7
Factor 0 + 0*d - 2/5*d**4 + 0*d**3 + 2/5*d**2.
-2*d**2*(d - 1)*(d + 1)/5
Let q(d) = -d**2 - 10*d - 14. Let k be q(-8). Factor 0 + 4/3*f**k + 0*f - 2*f**3.
-2*f**2*(3*f - 2)/3
Let c = 2004 - 100197/50. Let j(s) be the second derivative of -1/10*s**4 + 0 - s + 0*s**2 - 1/75*s**6 + c*s**5 + 1/15*s**3. Factor j(u).
-2*u*(u - 1)**3/5
Let r = 56 + -51. Factor 3/4*p**3 - 3/4*p**4 + 0*p + 1/4*p**r - 1/4*p**2 + 0.
p**2*(p - 1)**3/4
Let u(w) = w**2 - 3*w + 5. Let i be u(2). Factor 0 - 3/2*g**2 + 3/2*g**i + 1/2*g - 1/2*g**4.
-g*(g - 1)**3/2
Let p(g) be the second derivative of -5*g**4/36 + 5*g**3/6 - 5*g**2/3 + 26*g. Factor p(t).
-5*(t - 2)*(t - 1)/3
Let o(y) = -2*y + 11. Let f be o(8). Let k(x) = -x**3 - 5*x**2 + 3. Let c be k(f). Factor 7 + 0 + a**2 + 4*a - c.
(a + 2)**2
Suppose -3*l = -4 - 5, -5*m + 24 = 3*l. Factor -4/3*b + 2*b**2 + 1/3*b**4 - 4/3*b**m + 1/3.
(b - 1)**4/3
Let w be 0*(0 - 2/4). Factor w*n + 2/7*n**2 - 2/7.
2*(n - 1)*(n + 1)/7
Let r(v) = -4*v**2 - 3. Let z(o) = 23*o**2 - o + 17. Let x(u) = -34*r(u) - 6*z(u). Factor x(g).
-2*g*(g - 3)
Let y = 1 + -4. Let h = 5 + y. Determine c so that 2/3*c**h - 8/3*c + 8/3 = 0.
2
Let h(u) be the second derivative of -u**4/36 + 7*u**3/9 - 13*u**2/6 - 45*u. Find d such that h(d) = 0.
1, 13
Let q(s) be the first derivative of 2*s**5/55 + 2*s**4/11 + 4*s**3/11 + 4*s**2/11 + 2*s/11 + 7. Find m, given that q(m) = 0.
-1
Factor 2*a**2 + 10*a - 645*a**3 + 3*a**2 + 640*a**3.
-5*a*(a - 2)*(a + 1)
Let z(l) = -14*l**2 + 36*l - 27. Let t(w) = -2*w**2 + 1. Let k(v) = 5*t(v) - z(v). Factor k(o).
4*(o - 8)*(o - 1)
Factor -3/4*v + 3/4*v**2 - 3/4 + 3/4*v**3.
3*(v - 1)*(v + 1)**2/4
Suppose -4*v + 10 = -22. Suppose l**2 + v + 5*l**2 - 4*l**2 - 4*l**2 = 0. What is l?
-2, 2
Let j(v) be the second derivative of -v**6/15 - 4*v**5/5 - 4*v**4 - 32*v**3/3 - 16*v**2 - 21*v. Factor j(s).
-2*(s + 2)**4
Let n(o) be the first derivative of 5*o**6/12 + 2*o**5/3 - 5*o**4/24 - 5*o**3/9 - 4. Solve n(t) = 0 for t.
-1, 0, 2/3
Let n = 26 - 26. Factor 2/5*j**4 + n + 2/5*j**3 - 2/5*j**2 - 2/5*j.
2*j*(j - 1)*(j + 1)**2/5
Let j(o) be the first derivative of -o**5/5 + 2*o**3 + 4*o**2 - 5*o + 4. Let t(n) be the first derivative of j(n). Let t(d) = 0. Calculate d.
-1, 2
Let h be (3 + -2)/(39 + 6). Let d(p) be the second derivative of h*p**6 - 2*p + 0*p**2 - 1/30*p**5 - 1/18*p**4 + 1/9*p**3 + 0. Factor d(f).
2*f*(f - 1)**2*(f + 1)/3
Let o(s) be the second derivative of s**4/20 + 3*s**3/5 + 3*s**2/2 - 2*s. Determine p, given that o(p) = 0.
-5, -1
Let v(p) be the first derivative of p**8/560 + p**7/140 - p**5/20 - p**4/8 + p**3 - 4. Let d(x) be the third derivative of v(x). Factor d(b).
3*(b - 1)*(b + 1)**3
Let s(q) be the second derivative o