9. Factor 2/7*w**3 + 0*w**4 - h*w + 0 - 1/7*w**5 + 0*w**2.
-w*(w - 1)**2*(w + 1)**2/7
Let h(l) = 14*l**4 + 56*l**3 + 44*l**2 - 64*l - 34. Let a(c) = -5*c**4 - 19*c**3 - 15*c**2 + 22*c + 11. Let w(p) = 8*a(p) + 3*h(p). Solve w(x) = 0.
-7, -1, 1
Let j(b) = -8*b**2 - 148*b - 164. Let f(l) = l**2 - 3*l. Let v(a) = 6*f(a) + j(a). Suppose v(t) = 0. What is t?
-82, -1
Suppose 45/2*f + 3/2*f**2 - 51 = 0. Calculate f.
-17, 2
Let p(o) = 2*o + 22. Let k be p(-7). Let d be (3 - 5)/(-12)*12/k. Factor d*s**3 + 1/4*s + 0 + 1/2*s**2.
s*(s + 1)**2/4
Suppose -3*y + 7 = -2. Let i(j) = j**3 - 4*j**2 + 6*j - 9. Let p be i(y). Determine s so that 1/4*s + p*s**2 + 0 - 1/4*s**3 = 0.
-1, 0, 1
Suppose -4*o + 6*o = 4. What is k in 12*k**2 + o*k**3 - 10*k**2 + 0*k**3 = 0?
-1, 0
Let t = -1267 + 8871/7. Factor -72/7 - t*z**2 - 24/7*z.
-2*(z + 6)**2/7
Let v be ((-76)/190)/(((-2)/(-5))/(-2)). Factor -t + 21*t**3 - 20*t**3 - 5*t**4 - 3*t**2 + 6*t**4 + v.
(t - 1)**2*(t + 1)*(t + 2)
Let a(g) = 2*g**2 - 202*g + 4802. Let m(i) = 6*i**2 - 604*i + 14406. Let z(k) = 8*a(k) - 3*m(k). Let z(p) = 0. Calculate p.
49
Let o(t) be the first derivative of -t**4/2 + 80*t**3 + 55. Factor o(q).
-2*q**2*(q - 120)
Let x be (-8)/72*-2*1. Factor x + 4/9*t**3 - 7/9*t - 5/9*t**2.
(t - 2)*(t + 1)*(4*t - 1)/9
Let u = -1773 + 1777. Factor 6/7*z**3 + 2/7*z**u + 0*z**2 + 0 - 8/7*z.
2*z*(z - 1)*(z + 2)**2/7
Let x = 9 - 6. What is r in -2*r**3 + 3*r**3 + 16*r**4 - 15*r**x - 6*r**3 + 8*r**2 - 4*r**5 = 0?
0, 1, 2
Let w(t) be the second derivative of t**5/10 - 25*t**4/36 - 2*t**3/3 - 3*t**2/2 - 17*t. Let c(h) be the first derivative of w(h). Factor c(u).
2*(u - 3)*(9*u + 2)/3
Let -2*f + 2*f**3 - 2/7*f**4 - 16/7 + 18/7*f**2 = 0. Calculate f.
-1, 1, 8
Suppose 21*u - 13*u = 120. Find b, given that -3*b**2 + 0 + 24*b**3 + 0 - u*b**4 + 90*b - 96*b = 0.
-2/5, 0, 1
Let h(o) be the third derivative of -1/5*o**6 + 2/15*o**5 + 0*o - 2*o**2 - 1/84*o**8 + 0 + 0*o**4 + 3/35*o**7 + 0*o**3. Find z, given that h(z) = 0.
0, 1/2, 2
Let a be 7*12/(9/3). Let k = 36 - a. Determine r so that k*r**3 - 3*r**3 - 10*r**2 + 5*r - 4*r + 10 - 6*r = 0.
-1, 1, 2
Let y(h) = 49*h**2 - h - 2. Let p be y(-2). Let u = p + -976/5. Solve 0 + 2/5*i + 2/5*i**3 - u*i**2 = 0.
0, 1
Let r(u) be the first derivative of -4*u**5/35 + 3*u**4/7 - 4*u**3/7 + 2*u**2/7 + 149. Factor r(s).
-4*s*(s - 1)**3/7
Let z be 1/8 + 5652/864. Factor -z - 16/3*g + 4/3*g**2.
4*(g - 5)*(g + 1)/3
Let b(i) be the second derivative of -i**4/108 - 23*i**3/54 + 4*i**2/3 - 135*i. Factor b(d).
-(d - 1)*(d + 24)/9
Suppose 8*s = 13 + 11. Let n(y) be the first derivative of 22/27*y**s + 0*y - 2/9*y**2 + 14/45*y**5 + 1 - 8/9*y**4. Factor n(l).
2*l*(l - 1)**2*(7*l - 2)/9
Let j = 5 - 9. Let t = 6 + j. Suppose 6*c - c**2 - 18 + 2*c**3 + 2*c**2 + 9*c**t + 0*c**3 = 0. What is c?
-3, 1
Suppose 0 - 1/4*v**3 - 7/4*v + 2*v**2 = 0. Calculate v.
0, 1, 7
Suppose -4*u - 15 = -5*u. Suppose -16*c + 11*c = -u. Suppose c*j**3 - 5*j**2 + 4*j**2 - 2*j**2 = 0. What is j?
0, 1
Let y(m) be the first derivative of 2*m**3/15 - 4*m**2/5 - 2*m - 70. Factor y(n).
2*(n - 5)*(n + 1)/5
Let q(s) = -3*s + 3. Let n(g) = g**2 + 3*g + 3. Let u be n(-2). Let c be q(u). Suppose -2/5*p**3 + c + 2/5*p**4 - 2/5*p**2 + 2/5*p = 0. Calculate p.
-1, 0, 1
Let x = -17082/5 - -3417. Factor x*k**3 - 3/5*k + 0*k**2 + 0.
3*k*(k - 1)*(k + 1)/5
Let x be -2 + 0 + (3 - -1). Determine b, given that x*b**2 + 5 + 7 - 5*b + 3*b - 16 = 0.
-1, 2
Let i(f) = -4*f**3 + f**2 - 2*f + 1. Let q(y) be the second derivative of -y**5/20 - y**4/12 - y**3/6 + y**2/2 + 4*y. Let x(g) = -2*i(g) + 4*q(g). Factor x(d).
2*(d - 1)**2*(2*d + 1)
Let g = 93/980 + 1/196. Let d(t) be the second derivative of 0*t**3 + 0 - 1/3*t**4 + g*t**5 + 0*t**2 - 3*t. Determine y, given that d(y) = 0.
0, 2
Let p(z) be the first derivative of -z**3/6 + 6*z**2 - 72*z - 40. Find a, given that p(a) = 0.
12
Let g(d) be the first derivative of -d**6/27 - 2*d**5/15 + 2*d**4/9 - 42. Factor g(i).
-2*i**3*(i - 1)*(i + 4)/9
Let y(a) be the first derivative of a**6/24 - 13*a**5/80 + a**4/12 + a**3/6 - 3*a - 6. Let r(s) be the first derivative of y(s). Factor r(j).
j*(j - 2)*(j - 1)*(5*j + 2)/4
What is z in -116/7*z + 1682/7 + 2/7*z**2 = 0?
29
Suppose -5*y + 74 = 4*h, 0*y = -2*y + 4. Suppose 4*q + 3*n = h, 3*q = n - 4 + 16. Find w, given that -7*w + 6*w - q - 3*w + 4*w**3 + 4*w**2 = 0.
-1, 1
Let l = -20970 + 20978. Factor -32 - 1/2*w**2 - l*w.
-(w + 8)**2/2
Let h(l) be the third derivative of l**8/100800 + l**7/6300 + l**5/5 + 5*l**2. Let k(q) be the third derivative of h(q). What is m in k(m) = 0?
-4, 0
Let c(s) be the second derivative of 0 - 9/8*s**2 + 1/80*s**5 + 5/48*s**4 - 7*s + 1/8*s**3. Find w, given that c(w) = 0.
-3, 1
Let i = 31 - 37. Let p = 11 + i. Factor 60*h**3 - 71 + h**5 + 34*h**4 - 2*h + 36*h**2 + 65 + 5*h**p.
2*(h + 1)**3*(h + 3)*(3*h - 1)
Suppose 40*r - 4*t - 19400 = 7*r, -3*r = t - 1765. Factor 2401/2*h**4 + 1372*h**3 + 112*h + r*h**2 + 8.
(7*h + 2)**4/2
Let x(a) be the first derivative of 3*a**5/5 - 3*a**3 - 3*a**2 + 12. Factor x(c).
3*c*(c - 2)*(c + 1)**2
Let o(b) be the first derivative of -18/11*b - 8/11*b**2 - 33 + 2/33*b**3. Determine p, given that o(p) = 0.
-1, 9
Let x(y) = 2*y**2 - 12*y + 22. Let d be x(7). Solve -26*b**4 - 13*b**2 + 8*b**4 + 0*b**2 - d*b**3 - 17*b**2 - 3*b**5 - 9*b = 0.
-3, -1, 0
Let u(l) be the third derivative of -l**7/1008 + 17*l**6/1440 - l**5/40 + l**4/3 - 3*l**2. Let w(t) be the second derivative of u(t). Solve w(s) = 0 for s.
2/5, 3
Let p be (4 - 125/30)*-4. Let l = -106 - -106. Factor -p*b + 7/3*b**2 - 5/3*b**3 + l.
-b*(b - 1)*(5*b - 2)/3
Suppose 197 = 9*z + 53. Solve -5*i**2 + i**2 + 2*i**3 - i - 5*i - 2*i + z = 0.
-2, 2
Let w(z) be the second derivative of z**5/80 - 3*z**4/16 + z**3/3 + 30*z. Factor w(f).
f*(f - 8)*(f - 1)/4
Let v = 389 + -149. Let x(q) be the first derivative of -360*q**2 + 3 - 270*q**5 + 570*q**4 + 81/2*q**6 - 96*q - v*q**3. Find p, given that x(p) = 0.
-2/9, 2
Let j(g) = -g**3 - g**2 + 1. Let y(x) be the second derivative of x**5/10 + x**4/2 + 8*x**3/3 - 3*x**2 + 9*x. Let n(h) = -6*j(h) - y(h). Factor n(s).
4*s*(s - 2)*(s + 2)
Let d = 13 + -11. Suppose 4*p + 26 = 3*h, -p = -5*h + 9 + 6. Suppose -2*u**4 + 8*u**d - 8*u**h - 2*u**5 = 0. What is u?
-1, 0
Let q(t) = -14*t**2 + 163*t - 121. Let p(j) = -99*j**2 + 1140*j - 849. Let n(v) = 2*p(v) - 15*q(v). Factor n(x).
3*(x - 13)*(4*x - 3)
Let a(n) = n**3 + 5*n**2 + 5*n + 4. Let d be a(-4). Let q be (2 - -1) + -1 + d. Factor -32*i**3 + 2*i**5 + 56*i**3 - 2*i - 2*i**4 - 30*i**3 + 10*i**q - 2*i.
2*i*(i - 1)**3*(i + 2)
Let k = 19 - 7. Let u be (-6)/k + (-7)/(-2). Factor -2*y**3 + 3*y**3 + 6*y**2 + 2*y**u - 3*y**4.
-3*y**2*(y - 2)*(y + 1)
Suppose -44 = 4448*y - 4470*y. Factor -19/5*n - y - 9/5*n**2.
-(n + 1)*(9*n + 10)/5
Let h = -12931 - -90520/7. Factor 3/7*x**4 - h*x**2 - 9/7*x + 9/7*x**3 + 0.
3*x*(x - 1)*(x + 1)*(x + 3)/7
Suppose -3*c = 4*h - 8, c - 5*h + 2 - 30 = 0. Let p(a) be the second derivative of 0*a**2 + c*a - 1/42*a**4 + 0 - 2/21*a**3. Factor p(y).
-2*y*(y + 2)/7
Let p(n) be the first derivative of -n**3 + 87*n**2/2 + 90*n - 84. Factor p(d).
-3*(d - 30)*(d + 1)
Suppose 0 = -5*g, 2*v - v - g - 6 = 0. Let f be ((-16)/20)/(1 + v/(-4)). Suppose 0 - 12/5*l**3 - 2/5*l**5 + f*l**2 - 2/5*l + 8/5*l**4 = 0. What is l?
0, 1
Let v(h) be the third derivative of 14*h**2 + 0 - 1/3*h**3 + 0*h**4 + 0*h + 1/30*h**5. Factor v(b).
2*(b - 1)*(b + 1)
Let s(f) be the first derivative of -4*f**3/3 + 80*f**2 - 1600*f - 59. Solve s(x) = 0.
20
Let a be (-32)/(-48)*(-4 + 7). Factor -1/3*n**a + 1 - 2/3*n.
-(n - 1)*(n + 3)/3
Let y(j) be the second derivative of -j**8/84 - 4*j**7/105 - j**6/30 - 11*j**2 + 28*j. Let l(b) be the first derivative of y(b). Factor l(r).
-4*r**3*(r + 1)**2
Suppose 4*f - 9 - 7 = -4*m, -m - 3*f + 8 = 0. Factor -3*b + 0*b + b**m + 0*b**2.
b*(b - 3)
Let d(n) be the first derivative of -n**6/72 + n**5/6 - 5*n**4/6 + 7*n**3 + 20. Let p(i) be the third derivative of d(i). Find z, given that p(z) = 0.
2
Let g(m) = -m**2 + 18*m - 23. Let u be g(11). Suppose u = 9*x + 54. Factor 0*o**2 - 1/6*o**5 + 0*o**4 + 1/6*o**3 + 0*o + x.
-o**3*(o - 1)*(o + 1)/6
Let u(t) be the second derivative of t**8/33600 - t**7/12600 - t**6/3600 + t**5/600 - t**4/3 - 3*t. Let g(y) be the third deriva