ven that -10*f**q - 5*f - 5*f**3 - 287 + 287 = 0.
-1, 0
Let g(w) be the second derivative of w**5/50 + w**4/90 - 22*w**3/45 - 8*w**2/5 - w + 2. Factor g(v).
2*(v - 3)*(v + 2)*(3*v + 4)/15
Let 3065*c - 38118*c**2 - 10 + 8405*c**3 + 139798*c**2 + 277 - 27 + 6795*c = 0. What is c?
-12, -2/41
Let z(c) = -3*c**2 - c + 2. Let q be z(3). Let v = -24 - q. What is b in b + 1 - 3*b - 3*b**2 + v*b**2 = 0?
1
Let c = 76750 + -538701/7. Let a = -207 - c. Solve 2/7 - a*v**2 + 0*v = 0 for v.
-1, 1
Solve 9/7*l**3 + l**4 + 1/7*l + 2/7*l**5 + 5/7*l**2 + 0 = 0.
-1, -1/2, 0
Let y be ((-6)/10 - -2)/((-91)/(-455)). Let j(i) be the first derivative of y + 1/15*i**3 + 1/5*i + 1/5*i**2. Factor j(z).
(z + 1)**2/5
Let r(s) be the second derivative of s**5/4 - 15*s**4/4 - 4*s + 11. Determine y, given that r(y) = 0.
0, 9
Let q(p) be the third derivative of -p**6/660 - p**5/330 + p**4/33 + 4*p**3/33 - 31*p**2. Factor q(v).
-2*(v - 2)*(v + 1)*(v + 2)/11
Let o(c) = -5*c - 146. Let h be o(-30). Let k = 0 + 4. Find b such that k + 8*b**3 + 3*b**5 - 12*b + 8*b**2 - 12*b**4 - 3*b**5 + h*b**5 = 0.
-1, 1
Let q(v) be the first derivative of -3*v**5/10 + 11*v**4/6 + 4*v**3/3 - 14*v + 36. Let a(h) be the first derivative of q(h). Factor a(o).
-2*o*(o - 4)*(3*o + 1)
Let z(p) be the first derivative of p**4/60 + 2*p**3/15 - p**2/2 - 33*p + 36. Let j(a) be the first derivative of z(a). Factor j(u).
(u - 1)*(u + 5)/5
Let b(h) be the second derivative of -h**4/6 - h**2/2 - 2*h. Let q(g) = g**2 - 1. Let p(j) = -b(j) + q(j). What is v in p(v) = 0?
0
Suppose 0 = 5*f - 8*f + 9. Suppose 5 = f*b - 4. Factor -4*r**2 - 2*r**2 + b*r**2 + 6*r.
-3*r*(r - 2)
Solve -1681 + 41*x - 1/4*x**2 = 0 for x.
82
Let n = 2863 + -8587/3. Factor -2/3*x**4 + 0*x**2 + 0 + 0*x + n*x**3.
-2*x**3*(x - 1)/3
Let u = -65 - -65. Let r(b) be the second derivative of 1/50*b**6 + u + 3*b + 3/10*b**2 + 3/25*b**5 + 3/10*b**4 + 2/5*b**3. Find i such that r(i) = 0.
-1
Solve 0 - 5/6*y + 2/3*y**2 + 1/6*y**3 = 0.
-5, 0, 1
Let i(t) = t**2 + 12*t - 10. Let n be i(-13). Factor 1325*c**3 - 3*c**4 - 9*c - n*c**2 - 4 - 1316*c**3 + 10.
-3*(c - 2)*(c - 1)**2*(c + 1)
Let f(d) be the second derivative of 0 + 18*d - 8/3*d**3 + 1/3*d**4 + 6*d**2. Factor f(h).
4*(h - 3)*(h - 1)
Let y(o) be the first derivative of 10 - 1/7*o**2 + 4/7*o - 2/7*o**3. Suppose y(h) = 0. Calculate h.
-1, 2/3
Let d(i) = -2*i - 18. Let p = -66 - -56. Let t be d(p). Determine f so that 0 - 2/7*f**4 - 10/7*f**t + 4/7*f + 8/7*f**3 = 0.
0, 1, 2
Let u(s) be the second derivative of -s**6/2 + 13*s**5/4 + 25*s**4/6 + 67*s. Suppose u(z) = 0. What is z?
-2/3, 0, 5
Let b(h) be the third derivative of h**6/40 - 5*h**5/4 + 143*h**4/8 + 169*h**3/2 - 17*h**2 + 2*h. Factor b(n).
3*(n - 13)**2*(n + 1)
Suppose 37 - 62 = -5*d. Solve -d*i - 137*i**2 + 25*i - 95*i**3 + 97*i**2 - 35*i**4 = 0.
-2, -1, 0, 2/7
Let g(w) = 3*w - 3. Let n be g(2). Factor 3*u**n + 1 + 6*u**2 - 1 + u**4 - 4*u**2.
u**2*(u + 1)*(u + 2)
Let t = 19/9 + -457/225. Let m(x) be the first derivative of -t*x**5 + 1/2*x**4 + 7/5*x**2 - 6 - 4/5*x - 6/5*x**3. Suppose m(z) = 0. Calculate z.
1, 2
Let f be (-2)/(16/(-10)) + -1. Let u = 17068 + -17068. Factor u - f*x - 1/4*x**4 + 1/4*x**3 + 1/4*x**2.
-x*(x - 1)**2*(x + 1)/4
Let g(v) be the first derivative of v**3/6 + 4*v**2 + 14*v + 299. Factor g(s).
(s + 2)*(s + 14)/2
Let d be (3 - (-140)/(-44)) + 4/22. Let h be 3 + -1*d/(-4). Let 2/7*j**h - 2/7*j**2 - 2/7*j**5 + 0 + 2/7*j**4 + 0*j = 0. Calculate j.
-1, 0, 1
Let o(l) be the first derivative of l**7/105 + l**6/60 - l**5/30 - l**4/12 - l**2/2 - 25. Let g(v) be the second derivative of o(v). Factor g(r).
2*r*(r - 1)*(r + 1)**2
Let m = 89 - 81. Let -106*h**2 + m + 12*h + 24*h + 134*h**2 = 0. What is h?
-1, -2/7
Let f(v) = v**4 + 6*v**3 - 52*v**2 - 22*v. Let s(l) = -2*l**3 + l**2 - 2*l. Let z(n) = -5*f(n) - 35*s(n). Factor z(m).
-5*m*(m - 12)*(m + 1)*(m + 3)
Let l(d) = 9*d**3 - 28*d**2 - 37*d - 6. Let h(b) = -25*b**3 + 57*b**2 + 75*b + 12. Let c(a) = -2*h(a) - 5*l(a). Solve c(w) = 0 for w.
-3, -2, -1/5
Let p(r) be the first derivative of -3*r**4/4 + 2*r**3 + 3*r**2/2 - 6*r + 59. Factor p(s).
-3*(s - 2)*(s - 1)*(s + 1)
Find n, given that 8*n**2 + 15*n**2 - 28*n - 1695 - 28*n**2 - 950 - 202*n = 0.
-23
Determine q so that -216/13 + 18/13*q**2 + 0*q - 2/13*q**3 = 0.
-3, 6
Suppose 6*x - 8 = -4*x + 12. Determine j, given that 1 + 1/4*j**3 + 5/4*j**x + 2*j = 0.
-2, -1
Let v(r) = -3*r**5 + r**3 - 2*r**2 - 2. Let c(b) = -4*b**5 + b**4 + 2*b**3 - 3*b**2 - 3. Let d be 8*(4/3 + (-5)/6). Let t(y) = d*c(y) - 6*v(y). Factor t(l).
2*l**3*(l + 1)**2
Let l(q) = q**4 + q**3 + 2*q**2 - 2. Let j(u) = -u + 8. Let t be j(6). Let v(f) = f**4 - 1. Let x(n) = t*v(n) - l(n). Suppose x(c) = 0. What is c?
-1, 0, 2
Let b(a) = -a + 6. Let x be b(2). Let s be (3/x)/(6/384). Factor 12*p**3 + 10 - 27*p**2 - 15*p**2 + 14*p**5 - 16 + s*p**4 - 33*p + 7*p**5.
3*(p - 1)*(p + 1)**3*(7*p + 2)
Let b be (18/(-210))/(4/(-20)). Let t(c) = c**3 - 2*c**2 - c - 4. Let x be t(3). Factor 6/7 - 9/7*f + b*f**x.
3*(f - 2)*(f - 1)/7
Factor 25/9 + 1/9*a**2 - 10/9*a.
(a - 5)**2/9
Let i(f) = -f**5 - f**4. Let z(x) = -45*x**5 - 30*x**4 + 40*x**3 + 10*x**2 - 20*x - 5. Let s(q) = -25*i(q) + z(q). Solve s(r) = 0 for r.
-1, -1/4, 1
Let y = -3/143 + 593/1001. Let q(v) be the first derivative of -5/7*v**2 - 5 - 8/21*v**3 - 1/14*v**4 - y*v. Solve q(j) = 0 for j.
-2, -1
Let h(p) be the first derivative of 25*p**5/4 - 175*p**4/12 + 55*p**3/6 - 5*p**2/2 + 15*p + 3. Let r(f) be the first derivative of h(f). Factor r(w).
5*(w - 1)*(5*w - 1)**2
Suppose -5*m - 23 = 3*r - 7*m, -r + 3*m - 10 = 0. Let h be ((-80)/(-35) - 2) + (-26)/r. Let 2/11*u**h + 6/11*u**2 + 0 + 2/11*u + 6/11*u**3 = 0. What is u?
-1, 0
Let r(u) be the second derivative of -2/35*u**5 + 0 - 4/105*u**6 - 1/7*u**2 - 5*u + 2/21*u**3 + 1/14*u**4. Factor r(q).
-2*(q + 1)**2*(2*q - 1)**2/7
Find d such that 0 + 14/3*d**3 + 2/3*d**2 - 14/3*d - 2/3*d**4 = 0.
-1, 0, 1, 7
Let f = 2639 + -2637. Factor 0 + 2/19*j**f - 2/19*j**3 + 2/19*j - 2/19*j**4.
-2*j*(j - 1)*(j + 1)**2/19
Factor -40187 + 0*p**2 - 340*p + 0*p**2 + 11287 + p**2 - 2*p**2.
-(p + 170)**2
Suppose 7788*j**2 - 4*j - 7789*j**2 + 6*j = 0. Calculate j.
0, 2
Let m(v) be the third derivative of 5*v**8/336 + 5*v**7/42 + 3*v**6/8 + 7*v**5/12 + 5*v**4/12 + 294*v**2. Find i, given that m(i) = 0.
-2, -1, 0
Let t = -63811/6 - -10561. Let i = -74 - t. Factor -1/6*x**3 - 1/6 + i*x**2 + 1/6*x.
-(x - 1)**2*(x + 1)/6
Suppose -4*h - 27 = -47. Suppose 0 = -h*n - 3*i + 4, n = -4*n - 4*i + 2. Factor 2/3*a**n + 2/3 - 4/3*a.
2*(a - 1)**2/3
Suppose -3*t + 0 = 18. Let q be -3 - (-9 + t/(-2)). Factor 6*i**4 + 6*i**5 + i**q - 4*i**5 + 0*i**4 + 5*i**3 + 2*i**2.
2*i**2*(i + 1)**3
Suppose -3*y = 3*y - 12. Factor 5*t**3 - 17*t - 8*t - 12 - 15*t**2 + y + 5*t**4.
5*(t - 2)*(t + 1)**3
Let t(v) = -5*v**2 + 250*v + 610. Let x(u) = 2*u**2 - 84*u - 203. Let p(m) = 3*t(m) + 10*x(m). Factor p(q).
5*(q - 20)*(q + 2)
Let s(u) be the second derivative of -u**7/42 - u**6/30 + 3*u**5/20 + u**4/12 - u**3/3 + 89*u. Determine a, given that s(a) = 0.
-2, -1, 0, 1
Let o = 39 + -14. Let f be 3/(1/(3 + -2)). Factor 4*x - 8*x**f - o + 4*x**5 + 25.
4*x*(x - 1)**2*(x + 1)**2
Find h, given that -60/17*h**3 + 18/17*h + 4/17 - 46/17*h**2 = 0.
-1, -1/6, 2/5
Factor 10*y**2 + 0 + 9*y**3 + 7/2*y**4 + 4*y + 1/2*y**5.
y*(y + 1)*(y + 2)**3/2
Suppose 28*p**3 - 11*p**4 - 28*p + 9*p**4 + 4*p**2 - p**4 - p**4 = 0. Calculate p.
-1, 0, 1, 7
Factor 2/3*t**2 + 84050/3 + 820/3*t.
2*(t + 205)**2/3
Let n(q) be the third derivative of q**6/810 - 2*q**5/135 + q**4/18 - 4*q**3/3 - 18*q**2. Let a(o) be the first derivative of n(o). Factor a(w).
4*(w - 3)*(w - 1)/9
Let m be 2/(-2)*2*-4. Factor -48*r - 18*r**3 - m + 20*r**2 - 53*r**2 - 25*r**2.
-2*(r + 1)*(r + 2)*(9*r + 2)
Let x be (-1022)/336*-4 + -12. Factor -1/3*p**2 - 1/6*p + x.
-(p + 1)*(2*p - 1)/6
Let o = 38 + -35. Let b(a) = 2*a**2 - 17*a + 18. Let u(l) = -3*l**2 + 18*l - 17. Let w(v) = o*u(v) + 2*b(v). Factor w(n).
-5*(n - 3)*(n - 1)
Suppose 8*f - 1 = 31. Solve 2*k**4 - 3*k**f + k**4 + 6*k**3 - 3*k - 3*k**5 = 0.
-1, 0, 1
Let p = 38 - 35. Solve 0*u**3 + 0*u**p + 5*u - 2*u - 3*u**2 - 3*u**3 + 3 = 0 for u.
-1, 1
Suppose k = -4*a + 35 - 7, 5*k = -2*a + 50. Let o be 28/15 - k/(-60). Let 2/11*i**o + 0 - 4/11*i = 0