m**2. Factor x(p).
(p + 36)**2/4
Let p(z) be the second derivative of z**6/15 - z**5/2 + 5*z**4/6 + 5*z**3/3 - 6*z**2 + z - 6. Solve p(b) = 0 for b.
-1, 1, 2, 3
Suppose -70 - 44 = -55*i + 17*i. Factor 1/2*h**2 + h + 1/4*h**4 - 3/4 - h**i.
(h - 3)*(h - 1)**2*(h + 1)/4
Let l(i) be the third derivative of -i**5/36 - 5*i**4/6 - 80*i**3/9 + 2*i**2 + 145*i. Factor l(z).
-5*(z + 4)*(z + 8)/3
Let l(i) = -101*i**2 - 19*i - 4. Let u(g) = -405*g**2 - 70*g - 15. Let p(b) = -15*l(b) + 4*u(b). Determine h so that p(h) = 0.
0, 1/21
Let b(i) = -10*i**5 - 39*i**4 - 21*i**3 - i**2 - 9*i. Let n(q) = 5*q**5 + 19*q**4 + 11*q**3 + q**2 + 4*q. Let j(g) = 4*b(g) + 9*n(g). Factor j(u).
5*u**2*(u + 1)**3
Factor 22 + 3*x**3 + 8*x**2 + 4*x**2 + 15*x + 25 - 41.
3*(x + 1)**2*(x + 2)
Let x(h) be the first derivative of h**4 + 20*h**3 + 28*h**2 + 115. What is z in x(z) = 0?
-14, -1, 0
Let j(n) be the first derivative of -1/5*n**5 + 1/4*n**4 + 2/3*n**3 - 19 + 0*n + 0*n**2. Factor j(b).
-b**2*(b - 2)*(b + 1)
Let y(w) be the second derivative of w**6/60 + 11*w**5/30 + 35*w**4/12 + 25*w**3/3 + 15*w**2/2 - 6*w - 4. Let r(c) be the first derivative of y(c). Factor r(s).
2*(s + 1)*(s + 5)**2
Let c be (2/3)/((-2072)/(-1332)). Factor -10/7 + c*b**2 + 13/7*b.
(b + 5)*(3*b - 2)/7
Let l be (0 + (-1 - -2))*3. Let z(t) = -t**2 - 22*t + 779. Let c be z(19). Factor c + 2/5*g**4 + 2*g**2 - 8/5*g**l - 4/5*g.
2*g*(g - 2)*(g - 1)**2/5
Let u be ((-43)/(32637/(-13708)) - 18) + 128/66. Let h = 997/156 + -11/78. What is i in 5/4 + 5*i**u - h*i = 0?
1/4, 1
Let w(f) = -3*f**3 - 5*f + f - 7*f**2 + 17*f**2. Let v(b) = -24*b**3 + 81*b**2 - 33*b. Let x(u) = -4*v(u) + 33*w(u). Suppose x(o) = 0. Calculate o.
0, 2
Let k = -81/10 - -41/5. Let m(j) be the second derivative of 1/3*j**3 + 6*j + 1/6*j**4 + 0 - j**2 - k*j**5. Let m(v) = 0. What is v?
-1, 1
Let s be (0 - (-1184)/(-36))/(7*-18). Let c = 2/81 + s. Factor -4/7*n + 2/7*n**4 - c + 0*n**2 + 4/7*n**3.
2*(n - 1)*(n + 1)**3/7
Let x(p) be the first derivative of -p**5/90 - p**4/36 + 2*p**3/9 + 13*p**2 + 11. Let m(j) be the second derivative of x(j). Factor m(s).
-2*(s - 1)*(s + 2)/3
Let y(x) be the second derivative of -1/3*x**3 + 1/24*x**4 + 3/4*x**2 - 12*x + 0. Factor y(w).
(w - 3)*(w - 1)/2
Let 0*k - 2/21*k**3 - 2/21*k**4 + 4/21*k**2 + 0 = 0. Calculate k.
-2, 0, 1
Let d(y) = y**3 - 3*y**2 + 2*y - 6. Let t be d(4). Let -r**5 - r + t*r**3 + 0*r**5 - 16*r**3 = 0. What is r?
-1, 0, 1
Let a be -4*54/(-45) - (1 + 3). Let -2/5*h**4 + 0 + a*h**3 + 0*h + 6/5*h**2 = 0. What is h?
-1, 0, 3
Suppose 0 = -2*f + 9*f - 14. Factor -4*z**f - 9*z**2 + 16*z**2.
3*z**2
Let p = 1/2778 + 3703/2778. Factor 0*g**2 - 4/3*g + 0 + p*g**3.
4*g*(g - 1)*(g + 1)/3
Let y = 24 + -71/3. Let p = -461/21 - -163/7. Solve p + 0*c - y*c**2 = 0 for c.
-2, 2
Suppose 2*y = 3*i + 9, 5*i - 6 = 6*y - 5*y. What is o in 33/2*o**4 + 3/2*o - 3/2 + y*o**2 - 21*o**3 - 9/2*o**5 = 0?
-1/3, 1
Let -121*o - 11 + 11 - 63*o**2 - 15*o**3 + 72*o - o**4 = 0. Calculate o.
-7, -1, 0
Let f(j) be the third derivative of j**6/780 - 58*j**5/65 + 3364*j**4/13 - 1560896*j**3/39 - 100*j**2. Suppose f(k) = 0. Calculate k.
116
Let a(r) be the third derivative of r**5/300 + r**4/12 - 11*r**3/30 + 147*r**2. Factor a(t).
(t - 1)*(t + 11)/5
Let t(y) be the second derivative of 39*y**5/20 - 25*y**4/2 + 31*y**3/2 + 9*y**2 + 17*y - 5. Suppose t(i) = 0. Calculate i.
-2/13, 1, 3
Let w(r) be the third derivative of -r**5/75 + 7*r**4/5 - 10*r**2 + 34. Solve w(p) = 0 for p.
0, 42
Let k(l) be the third derivative of l**8/1008 - l**7/30 - 23*l**6/360 + 7*l**5/60 + 11*l**4/36 - 211*l**2. Determine p, given that k(p) = 0.
-1, 0, 1, 22
Let x(s) be the second derivative of -7*s**6/6 - 37*s**5/4 - 95*s**4/6 - 20*s**3/3 + 27*s. Let x(k) = 0. What is k?
-4, -1, -2/7, 0
Factor 14/5*i + 2/15*i**3 + 196/15 - 8/5*i**2.
2*(i - 7)**2*(i + 2)/15
Factor -44*u + 129*u - 8*u**3 - 63*u**2 + 40 + 150*u - 17*u**3 + 233*u**2.
-5*(u - 8)*(u + 1)*(5*u + 1)
Suppose 298*o - 330*o = 0. Factor o - 3/5*x**5 + 0*x - 12/5*x**4 + 0*x**2 - 9/5*x**3.
-3*x**3*(x + 1)*(x + 3)/5
Let f(r) be the second derivative of -4*r**5/5 + 19*r**4/6 - 19*r**3/6 - 3*r**2/2 + 154*r. Factor f(y).
-(y - 1)*(2*y - 3)*(8*y + 1)
Solve 16*b**3 - 10294*b**2 + 5*b**3 - 3*b**5 + 4*b**5 + 10271*b**2 + 8*b - 5*b**4 - 2*b**5 = 0.
-8, 0, 1
Let k(s) be the third derivative of -s**5/150 + s**4/30 + s**3/5 - 8*s**2. Factor k(c).
-2*(c - 3)*(c + 1)/5
Factor 12/5*r**4 - 57/5*r**3 + 72/5 + 134/5*r**2 - 1/5*r**5 - 156/5*r.
-(r - 3)**2*(r - 2)**3/5
Let m be 23/7 - (-2)/(-7). Suppose 11 = 4*u - 1. Factor 2*r**m - 4*r**2 + 2*r + 0*r**u + 0*r**3.
2*r*(r - 1)**2
Let g be (12/(20/(-5)))/(-1). Factor -13 + 8*h**2 - 9*h**g + 11*h**3 + 17 + 10*h.
2*(h + 1)**2*(h + 2)
Factor 0 + 0*s + 4*s**3 + 2*s**2 + 1/2*s**5 + 5/2*s**4.
s**2*(s + 1)*(s + 2)**2/2
Let y = 179 + -182. Let q be y*((-1)/18)/((-16)/(-64)). Let q*i**3 + 0 - 8/3*i**2 + 8/3*i = 0. Calculate i.
0, 2
Let z(m) be the second derivative of -3*m**6/50 - 11*m**5/100 + 7*m**4/60 + 11*m**3/30 + m**2/5 + 46*m. Find f such that z(f) = 0.
-1, -2/9, 1
Let f(y) be the third derivative of 25/12*y**4 + 11*y**2 + 0*y + 0 + 125/6*y**3 + 1/12*y**5. Factor f(n).
5*(n + 5)**2
Factor 0 + 1/2*c**3 + 3/2*c - 2*c**2.
c*(c - 3)*(c - 1)/2
Let m(v) = -3*v**2 + 11*v - 2. Let h(c) = -1. Let b(d) = d - 1. Let p(q) = b(q) - h(q). Let j(s) = -m(s) + 6*p(s). Factor j(y).
(y - 1)*(3*y - 2)
Let x(t) be the first derivative of -t**6/15 - 3*t**5/10 - t**4/3 - 4*t - 9. Let b(w) be the first derivative of x(w). Factor b(f).
-2*f**2*(f + 1)*(f + 2)
Let s = -188 - -188. Let c(p) be the third derivative of -1/12*p**4 + s - 1/30*p**5 + 0*p + 3*p**2 + 2/3*p**3. Solve c(n) = 0.
-2, 1
Let t = 124 - 122. Let g(j) be the third derivative of -5/84*j**4 + 0*j + 0 + 2/21*j**3 - 1/30*j**5 + 5*j**t. Factor g(l).
-2*(l + 1)*(7*l - 2)/7
Suppose d - 12 = -3*r - 2*r, 2*d = -r + 6. Factor 8/11 - 6/11*f**r + 2/11*f**3 + 0*f.
2*(f - 2)**2*(f + 1)/11
Suppose 4*t = t + 9. What is z in 729*z**5 + 2515*z**3 + 2453*z**t - 94*z + 2384*z**2 + 3402*z**4 + 32 + 558*z = 0?
-2, -2/9
Let -4/7*h**5 + 0 - 48/7*h**3 + 34/7*h**2 - 8/7*h + 26/7*h**4 = 0. What is h?
0, 1/2, 1, 4
Factor 121 - 3*s**5 + s**4 - 128*s**2 + 110*s**2 + 18*s**3 + 2*s**5 - 40 - 81*s.
-(s - 3)**2*(s - 1)*(s + 3)**2
Let y = -42 - -45. Suppose -4*h + 0*h = y*v - 10, -14 = -5*v - 4*h. Suppose -46/3*s**3 - 16/3 - 40/3*s + 8/3*s**4 + 28*s**v = 0. Calculate s.
-1/4, 2
Let o(q) be the third derivative of q**6/480 + q**5/48 - q**4/16 - 96*q**2. Factor o(m).
m*(m - 1)*(m + 6)/4
Let k = -583/12 - -209/4. Determine b so that -1/3 - 11/6*b**5 - 10/3*b**4 + k*b**2 + 2/3*b**3 + 7/6*b = 0.
-1, 2/11, 1
Let x(m) = -4. Let v(a) = a + 1. Let l(f) = -3*v(f) - x(f). Let o be l(-1). Determine k so that -6*k**4 - 4 - 4*k**o - 18*k**2 + 8*k**4 + 10*k**3 + 14*k = 0.
1, 2
Let d be (-40)/(-24) - (-2)/(-3). Let b(o) = -o**4 - o**2 - o - 1. Let x(f) = -2*f**4 + 3*f**3 - 4*f**2 - 6*f - 3. Let n(z) = d*x(z) - 3*b(z). Factor n(q).
q*(q - 1)*(q + 1)*(q + 3)
Suppose -c - 4*m + 19 = 1, 4*c - 4*m = -8. Factor -5*q**c - 5*q**3 + 45*q - 14*q - 21*q.
-5*q*(q - 1)*(q + 2)
Solve -49*d**2 - 21*d**3 - 36*d - 4*d**2 + 3*d**5 - 7*d**2 + 22*d**4 - 16*d**4 = 0 for d.
-2, -1, 0, 3
Let z(y) = -6*y**5 + 3*y**4 - 3*y**2. Let s(u) = -7*u**4 - u**5 + 40*u**2 - 35*u**2 + 12*u**5 + u**3. Let o(f) = 3*s(f) + 5*z(f). Determine m so that o(m) = 0.
0, 1
Let r(v) = 6*v**3 - 170*v**2 - 6*v + 159. Let j(k) = k**3 - 34*k**2 - k + 32. Let x(d) = -11*j(d) + 2*r(d). Factor x(q).
(q - 1)*(q + 1)*(q + 34)
Let p(r) = r**3 + 4*r**2 - 6*r - 1. Let k be p(-5). Suppose -k = 5*b - b, -3*b = -3*a + 9. Factor 6 + a*z + z - 6*z**2 + 15*z - 2*z.
-2*(z - 3)*(3*z + 1)
Factor 3/5*x**4 + 1/5*x**3 - 2/5*x + 1/5*x**5 - 3/5*x**2 + 0.
x*(x - 1)*(x + 1)**2*(x + 2)/5
Let w(k) be the third derivative of -k**7/12600 + k**6/360 - k**5/24 + 11*k**4/24 - 15*k**2. Let b(h) be the second derivative of w(h). Solve b(j) = 0 for j.
5
Suppose -12 = -4*y, -6*w + 3*w - 5*y = -24. Factor 752 - 4*l**w - 752 - 2*l**4 - 2*l**2.
-2*l**2*(l + 1)**2
Solve -6*s - 71/4*s**2 - 3/4*s**5 + 19/4*s**4 + 4 - 9/4*s**3 = 0.
-1, 1/3, 4
Suppose -2*m + 4*m = 6. Factor -w - w**5 - 3*w + 3*w + 2*w**m.
-w*(w - 1)**2*(w + 1)**2
Find f such that -72/7*f**2 + 33/7*f**3 + 0 - 3/7*f*