s**7 - 1/25*s**6 - 3*s. Factor u(o).
-(o + 1)**4*(o + 2)/5
Let w be ((-120)/108)/((-45)/162). Factor -4/3*x**2 + 2*x**w - 4/3*x**3 - 2/3 + 2*x - 2/3*x**5.
-2*(x - 1)**4*(x + 1)/3
Let c(x) = x**5 - x**4 - x**3 - x**2 + 1. Let t(h) = -2*h**5 + 5*h**3 + 3*h**2 - 3. Let m(z) = 6*c(z) + 2*t(z). Factor m(f).
2*f**3*(f - 2)*(f - 1)
Suppose -4*l + 68 = 30*l. Factor -4/5*v + 2/5 + 2/5*v**l.
2*(v - 1)**2/5
Let c(o) be the second derivative of 13*o**4/36 - 3*o**3/2 + o**2/3 - o + 5. Factor c(v).
(v - 2)*(13*v - 1)/3
Suppose 17*r + 6944 = 6978. Let 0 + 4/3*s + 2/3*s**r = 0. Calculate s.
-2, 0
Let w(j) be the second derivative of j**4/15 + 11*j**3/30 + 7*j**2/10 + 21*j. Let w(r) = 0. What is r?
-7/4, -1
Suppose -500*w + 509*w = 18. Factor 4/5 + 2/5*d**w + 6/5*d.
2*(d + 1)*(d + 2)/5
Let t = -5575/12 - -465. Let l(o) be the second derivative of 0*o**2 - t*o**4 + 1/10*o**6 - 1/5*o**5 + 3*o + 0 + 1/3*o**3. Factor l(b).
b*(b - 2)*(b + 1)*(3*b - 1)
Let m = 25 + -20. Suppose -g - 8 = -m*g. Let 0 + 2*c**3 + 7*c**4 + 1 - g*c - 8*c**4 = 0. Calculate c.
-1, 1
Let q(h) be the second derivative of -h**5/5 + 8*h**4/3 - 14*h**3 + 36*h**2 + 19*h - 1. Solve q(x) = 0 for x.
2, 3
Let a = -7146 - -7146. Factor a - 3/2*p**2 + 0*p.
-3*p**2/2
Let d(l) = -6*l**2 - 260*l - 254. Let u(h) = -h**2 - 52*h - 51. Let g(v) = -3*d(v) + 14*u(v). Factor g(q).
4*(q + 1)*(q + 12)
Let x be 1 + -4 - (-10)/(-20)*-7. Let 1/2*b**2 - x + 0*b = 0. Calculate b.
-1, 1
Solve 266*g - 600 + 4*g**2 - 28*g + 358*g = 0 for g.
-150, 1
Let g(p) = -2*p**2 + 2*p + 4. Let z be g(2). Solve 1/2*u**5 + z*u**2 + 0 + 0*u + 1/2*u**3 - u**4 = 0 for u.
0, 1
Let y(o) = -17*o**2 - 13*o. Let p(k) = -5*k**2 - 4*k. Let j(x) = 21*p(x) - 6*y(x). Factor j(h).
-3*h*(h + 2)
Let g be ((-16)/(-15)*(-280)/672)/(4/(-6)). Factor 0 - 2/3*v**2 - 4/3*v**3 + 4/3*v + g*v**4.
2*v*(v - 2)*(v - 1)*(v + 1)/3
Let w(c) be the second derivative of 4*c**4/39 + 5*c**3/39 + 43*c. Factor w(m).
2*m*(8*m + 5)/13
Determine p, given that -217 - 65*p + 48*p**2 + 2*p**3 + 2*p**3 + 803 + 241*p - 394 = 0.
-6, -4, -2
Let b(y) be the third derivative of -y**8/288 + 37*y**7/1260 - y**6/240 - 37*y**5/360 + 5*y**4/72 + 51*y**2. Determine s, given that b(s) = 0.
-1, 0, 2/7, 1, 5
Let z be (6 + -4 - 4)*2/(-4). Let m be (5*5/175)/z. Suppose 0*b + 0*b**3 + 2/7*b**2 - 1/7*b**4 - m = 0. Calculate b.
-1, 1
Let l be (-11)/(2816/648)*28/(-3). Let d(b) be the first derivative of 0*b + 2 + 23/3*b**3 + 343/24*b**6 + b**2 + l*b**4 + 637/20*b**5. Factor d(u).
u*(u + 1)*(7*u + 2)**3/4
Suppose -4*v + 47 = k, 0 = -4*v + k + 41. Suppose -2 + v*i + 2*i**4 - 15*i + 4*i**3 - 2 + 2 = 0. What is i?
-1, 1
Suppose -4*v = -9*v + 10. Suppose 5*d + 52 = -q + 4*q, 3*q - 37 = v*d. Factor -q*o**2 - 9/8*o**5 - 3/4 - 33/8*o - 39/4*o**3 - 21/4*o**4.
-3*(o + 1)**4*(3*o + 2)/8
Let d(j) be the first derivative of -3*j**3 - 9*j**2 - 33*j - 1. Let c(a) = 8*a**2 + 18*a + 32. Let s(f) = 6*c(f) + 5*d(f). Factor s(m).
3*(m + 3)**2
Determine q so that 20/3 + 172*q + 1092*q**2 - 676/3*q**3 = 0.
-1/13, 5
Determine i, given that 348/7*i + 15138/7 + 2/7*i**2 = 0.
-87
Let v(a) be the second derivative of -6*a**3 - 6*a**2 + 7/4*a**4 + 0 - 5*a. Factor v(u).
3*(u - 2)*(7*u + 2)
Let n be 3/(-15) - (-33)/15. Suppose -n*d = 3*d - 20. Solve 24*i**3 + 37*i - 72*i**2 + i**4 - 4*i**d - 48 + 59*i = 0.
2
Let u(s) be the second derivative of -s**6/240 - 5*s**5/32 - 19*s**4/16 + 133*s**3/12 - 49*s**2/2 + 273*s. Factor u(p).
-(p - 2)*(p - 1)*(p + 14)**2/8
Suppose 505*z**2 + 362*z**3 - 2*z**3 + 155*z**2 - 196*z**4 + 171*z**4 - 320*z = 0. Calculate z.
-2, 0, 2/5, 16
Suppose -7*t + 3*t + 8 = 0. Suppose -1 = u, 2*b + 3*b - 12 = t*u. Solve -1/2*o + 0 + 1/2*o**b = 0 for o.
0, 1
Let g be (-18)/33 + (-588)/(-110) + 48/(-60). Suppose 1/3*b**g - 17/3*b**3 + 0 + 80/3*b**2 - 64/3*b = 0. Calculate b.
0, 1, 8
Let w(h) be the second derivative of -3*h**6/65 + 3*h**5/5 - 193*h**4/78 + 8*h**3/3 - 16*h**2/13 + 3*h - 5. Factor w(u).
-2*(u - 4)**2*(3*u - 1)**2/13
Let x = -51979 + 51981. Suppose 16/9*m**3 + 64/3*m + 16 + 88/9*m**x + 1/9*m**4 = 0. Calculate m.
-6, -2
Let p(l) be the second derivative of -l**6/40 - 3*l**5/10 - 9*l**4/8 - 2*l**3 - 2*l**2 - 10*l. Let c(d) be the first derivative of p(d). Factor c(j).
-3*(j + 1)**2*(j + 4)
Let k(d) be the first derivative of 1/20*d**5 + 0*d**2 - 1/6*d**3 - 1/16*d**4 + 0*d - 1. Factor k(u).
u**2*(u - 2)*(u + 1)/4
Let u(g) be the second derivative of -19*g**5/20 - 37*g**4/12 - 17*g**3/6 + g**2/2 + 210*g. Factor u(q).
-(q + 1)**2*(19*q - 1)
Let w(q) be the second derivative of -q**7/14 + 4*q**6/5 + 189*q**5/20 - 351*q**4/2 + 594*q**3 + 2916*q**2 + 113*q. Factor w(c).
-3*(c - 6)**3*(c + 1)*(c + 9)
Let o be 6/20 - (-1001)/(-12870). Factor 10/9*a + o*a**2 + 0.
2*a*(a + 5)/9
Let r(p) be the second derivative of 0*p**2 + 1/80*p**5 + 0 - 16*p + 1/24*p**3 + 1/24*p**4. Find u such that r(u) = 0.
-1, 0
Let f = -573094/9 - -63678. Let l be ((-2)/18)/((-2)/4). Factor f*v**3 + 4/3*v**2 + 8/9*v + l + 2/9*v**4.
2*(v + 1)**4/9
Let h(y) be the first derivative of y**3/3 + 2*y**2 + 2*y + 2. Let a(n) = 3*n**2 + 8*n + 5. Let m(s) = 2*a(s) - 5*h(s). Factor m(i).
i*(i - 4)
Let c(n) be the first derivative of -2*n**3/45 - 7*n**2/5 + 44*n/15 - 107. Factor c(b).
-2*(b - 1)*(b + 22)/15
Let o(j) be the first derivative of -j**8/560 + j**6/40 + j**5/20 + 2*j**3 - 22. Let s(i) be the third derivative of o(i). Let s(n) = 0. Calculate n.
-1, 0, 2
Let k(p) be the second derivative of 2*p**6/35 - 93*p**5/140 + 18*p**4/7 - 22*p**3/7 - 24*p**2/7 - 42*p - 2. Let k(y) = 0. Calculate y.
-1/4, 2, 4
Let j = 517 + -515. Let w(d) be the third derivative of 0*d**3 + 0*d**4 + 0 - 1/98*d**7 - 1/35*d**5 + 0*d + 7*d**j + 1/35*d**6 + 1/784*d**8. Factor w(p).
3*p**2*(p - 2)**2*(p - 1)/7
Let q = 2/77411 - -696691/309644. Determine d, given that 1/2 - 11/4*d**2 + q*d = 0.
-2/11, 1
Find m, given that 0 + 1/9*m - 2/9*m**2 + 1/9*m**3 = 0.
0, 1
Let z(h) be the first derivative of -6*h + 1/66*h**4 - 4 + 0*h**3 + 0*h**2. Let c(w) be the first derivative of z(w). Suppose c(g) = 0. What is g?
0
Factor 3/4 + 1/8*u**2 + 5/8*u.
(u + 2)*(u + 3)/8
Factor -1/2*q**2 - 4608 + 96*q.
-(q - 96)**2/2
Let q = 315 - 6299/20. Let f(x) be the third derivative of -4*x**2 + 0 + 0*x**3 - 1/70*x**7 + q*x**5 + 1/8*x**4 - 1/40*x**6 + 0*x. Let f(u) = 0. Calculate u.
-1, 0, 1
Let t be 48/1*((-5 - -3) + 3). Factor -t*n**2 + 116 + 28 + 52*n**2 - 19*n - 29*n.
4*(n - 6)**2
Suppose 4*a + 2*a = 7*a. Let f(k) be the second derivative of 2/15*k**6 + a - 4/3*k**3 - 2/3*k**4 - 1/21*k**7 - 5*k + 0*k**2 + 3/10*k**5. Factor f(n).
-2*n*(n - 2)**2*(n + 1)**2
Suppose -29*p = 3*p - 64. Let s(o) be the second derivative of 1/60*o**5 + 1/36*o**4 + 0*o**3 + 0 + 0*o**p + 6*o. Factor s(r).
r**2*(r + 1)/3
Find v, given that -10 - 12*v**2 - 195*v + 7 - 4 - 41 = 0.
-16, -1/4
Suppose -3*d - 2*d = -4*y - 161, -4*y = 5*d - 129. Let m = d - 29. What is f in 2/9*f**2 + 0*f - 2/9*f**3 + m = 0?
0, 1
Let z(k) be the second derivative of 0*k**3 + 1/168*k**7 - 28*k + 0 + 0*k**2 + 1/40*k**6 + 0*k**4 + 1/40*k**5. Factor z(w).
w**3*(w + 1)*(w + 2)/4
Let t(z) be the third derivative of -18*z**2 + 0*z - 1/840*z**6 + 0 + 5/168*z**4 - 1/210*z**5 + 1/7*z**3. Solve t(n) = 0 for n.
-3, -1, 2
Let j(p) be the second derivative of 16*p - 13/48*p**4 + 0 + 0*p**2 - 1/12*p**3. Suppose j(i) = 0. Calculate i.
-2/13, 0
Let q be (-5)/20 - (-39)/12. Solve 3 + 8*k - 6*k**q - 6 - 7*k**5 + 9*k**4 + 4*k**5 + k - 6*k**2 = 0 for k.
-1, 1
Let m(h) = -13*h - 4. Let a be m(-1). Suppose -3*z**3 - z**3 + 3*z + z**3 + 12*z**4 - a*z**4 - 3*z**2 = 0. Calculate z.
-1, 0, 1
Let l(p) = -4*p - 20. Let z be l(-9). Let -8*b - z*b**2 + 4*b**3 + 7*b - 8 + 21*b = 0. Calculate b.
1, 2
Let x(q) = -2*q**2 + 10*q - 12. Let y be x(3). Let z(l) be the first derivative of -1/12*l**3 - 1/20*l**5 + 5 + 1/8*l**4 + y*l + 0*l**2. Factor z(c).
-c**2*(c - 1)**2/4
Let g(f) be the second derivative of 1/20*f**5 - 1/3*f**2 + 1/3*f**3 - 13/72*f**4 + 6*f + 0 - 1/180*f**6. Let g(s) = 0. Calculate s.
1, 2
Let m(b) = -b**2 - b + 16. Let l be m(3). Solve 5*j**l + 117*j**5 - 63*j**5 - 59*j**5 = 0 for j.
0, 1
Let q(v) = -8*v**2 - 4*v + 2. Let m be -7*4*(-9)/(-42). Let f(l) = 7*l**2 + 3*l - 1. Let o(a) = m*q(a) - 4*f(a). Determine u so that o(u) = 0.
-1, 2/5
Let s = -5 - -5. Let y be