 28. Factor v(w).
-4*(w - 1)**3*(w + 1)**2/7
Let z(y) be the first derivative of 3*y**4/14 - 284*y**3/21 + 45*y**2/7 + 188*y/7 + 343. Let z(r) = 0. What is r?
-2/3, 1, 47
Let o = 108 + -72. Let -264*f**4 + 54*f**4 - o*f - 298*f**3 + 21*f**5 - 71*f**5 - 174*f**2 = 0. What is f?
-2, -1, -3/5, 0
Suppose 3*o + 5*x + 15 = 0, 5*x - 7 = -o - 22. Factor -2/23 + o*n + 2/23*n**2.
2*(n - 1)*(n + 1)/23
Let y be (-132)/(-56) + 24/(-28). Factor -7/2*s**2 + y - 1/2*s + 5/2*s**3.
(s - 1)**2*(5*s + 3)/2
Let y(g) be the second derivative of 5/54*g**4 - 7/18*g**3 + 0 + 1/2*g**2 - 1/378*g**7 - 1/90*g**6 + 2*g + 1/30*g**5. Factor y(h).
-(h - 1)**3*(h + 3)**2/9
Let z(m) be the first derivative of 0*m**2 + 9 + 0*m - 9/4*m**4 - 1/6*m**6 + 6/5*m**5 + 0*m**3. Let z(g) = 0. What is g?
0, 3
Let t(a) = 2*a**2 - 4*a + 10. Let x(m) = -2. Let v(z) = 1. Let b(y) = -7*v(y) - 3*x(y). Let r(n) = 10*b(n) + t(n). Factor r(f).
2*f*(f - 2)
Suppose -b - 5*x = -28, -5*b + 5 = x - 3*x. Suppose a + 2*a = 2*l - 3, -b*l - a = -10. Determine j so that -4 - 3*j**l + 4 + 2*j**2 + j**2 = 0.
0, 1
Suppose q - r + 39 = 0, 3*r = 5*q + 2*r + 183. Let c be 9/8*(-24)/q. Find j such that 27/4*j**2 + c*j**4 + 3/2 + 15/4*j**3 + 21/4*j = 0.
-2, -1
Let i(f) be the second derivative of 5*f + 0*f**3 + 1/42*f**7 + 1/20*f**5 + 0*f**4 + 0 - 1/15*f**6 + 0*f**2. Factor i(u).
u**3*(u - 1)**2
Let g(x) be the third derivative of x**7/315 + 2*x**6/45 + x**5/5 - 3*x**3 - 21*x**2 - 1. Factor g(a).
2*(a - 1)*(a + 3)**3/3
Let j(w) be the first derivative of -5*w**3 + 45/4*w**2 + 5/8*w**4 - 10*w - 6. Find k, given that j(k) = 0.
1, 4
Factor 2 + 1 + 5*s**4 - 15*s - 2 - 11 + 5*s**2 + 15*s**3.
5*(s - 1)*(s + 1)**2*(s + 2)
Suppose -3*z = 2*b + 3 - 16, 0 = -2*z + 3*b. Determine i so that -664*i + 1322*i - 658*i + i**z = 0.
0
Let p(g) be the first derivative of -g**4/12 - 5*g**3/9 + g**2/6 + 5*g/3 + 121. Factor p(m).
-(m - 1)*(m + 1)*(m + 5)/3
Let h be (11/55)/(2/20). Factor -3*d**5 + h*d**5 + 3*d**3 - 2*d**2 + 0*d**5.
-d**2*(d - 1)**2*(d + 2)
Let z be -5 + ((-21238)/660)/(-7). Let w = -3/22 - z. Solve -2/15*k**4 + 2/15*k**2 + w*k**3 - 4/15*k + 0 = 0.
-1, 0, 1, 2
Let y(w) be the third derivative of -1/12*w**5 + 1/12*w**4 - 3/40*w**6 - 35*w**2 + 0*w**3 + 0 + 0*w + 1/48*w**8 + 1/42*w**7. Factor y(x).
x*(x - 1)*(x + 1)**2*(7*x - 2)
Let m(l) = -5*l**2 + 5*l - 18. Let y(k) = 3*k**2 - 3*k + 10. Let j(w) = 4*m(w) + 7*y(w). Factor j(i).
(i - 2)*(i + 1)
Factor 49/5 + 36/5*p**2 - 84/5*p.
(6*p - 7)**2/5
What is m in 36 - 2/3*m**2 + 50/3*m = 0?
-2, 27
Let c(j) be the third derivative of j**5/450 + 31*j**4/180 - 32*j**3/45 - 166*j**2. Factor c(y).
2*(y - 1)*(y + 32)/15
Let d = -24 - -22. Let i be (-105)/(-2)*d/(-3). Factor -i*z**4 + 2*z**3 + 4*z**2 + 4*z - 4*z + 33*z**4.
-2*z**2*(z - 2)*(z + 1)
Let f(u) be the second derivative of -12*u + 5/2*u**2 + 0 + 0*u**3 - 5/12*u**4. Suppose f(d) = 0. What is d?
-1, 1
Suppose 2*x = 5*l - 18, 2*x = -5*l - 72 + 74. Let b(v) be the first derivative of -1/15*v**5 + 1 - 1/3*v**l + 1/3*v**3 + 0*v**4 + 0*v. Factor b(j).
-j*(j - 1)**2*(j + 2)/3
Let s(c) be the first derivative of c**3/3 - 5*c**2/2 + 4*c + 34. Solve s(y) = 0 for y.
1, 4
Suppose -53 = -4*y - 41. Let l(v) = -v**3 - 8*v**2 - 8*v - 5. Let q be l(-7). Let h**q - 3*h**5 - 5*h**2 + 17*h**5 + 22*h**y - 32*h**4 = 0. What is h?
0, 2/7, 1
Suppose 0 = -3*k - 36*k - 12 + 168. Factor -4/13*c + 0 + 2/13*c**k - 2/13*c**2 + 4/13*c**3.
2*c*(c - 1)*(c + 1)*(c + 2)/13
Let a(o) be the second derivative of 5/6*o**4 + 1/24*o**6 + 0*o**3 - 3*o**2 + 0 + 11*o + 1/3*o**5. Let m(p) be the first derivative of a(p). Factor m(h).
5*h*(h + 2)**2
Let z(r) be the second derivative of 0*r**4 + 0*r**2 - 1/70*r**5 + 16*r + 0*r**3 + 0. Solve z(x) = 0 for x.
0
Let f be (3/2)/(3/2) + 3. Factor -k**4 - 2*k**5 + 15*k**3 - 13*k**3 - k - 1 + 5*k**5 + 2*k**2 - f*k**5.
-(k - 1)**2*(k + 1)**3
Let t = -16 - -41. Suppose -t = -4*y + 39. Solve -40*l - 31*l**2 - 4 - y - 5*l**3 + 6*l**2 = 0 for l.
-2, -1
Let n be (-4)/(4 + (-88)/20). Suppose -s + n = -3. Factor -10*o**4 - 6*o**5 - s*o**3 + 7*o**3 + 2*o**2 + 4*o**3.
-2*o**2*(o + 1)**2*(3*o - 1)
Let d(g) be the first derivative of g**4/36 - g**3/27 - g**2/3 - 402. Factor d(p).
p*(p - 3)*(p + 2)/9
Let l(x) be the first derivative of -4*x**3/3 + 140*x**2 - 4900*x + 55. Let l(w) = 0. What is w?
35
Let q(u) = u**3 - 1 + 41*u**2 - u - 80*u**2 + 38*u**2. Let f(b) = -2*b**3 + 4*b**2 - 2*b + 6. Let n(l) = f(l) + 3*q(l). Factor n(o).
(o - 1)**2*(o + 3)
Suppose 7*s = 3*s. Let n = 35/8 + 25/8. Solve 9/2*y**2 - 33/2*y**4 + n*y**3 + s*y + 9/2*y**5 + 0 = 0.
-1/3, 0, 1, 3
Let o(z) be the third derivative of 6*z**7/35 - 23*z**6/40 - 3*z**5/5 + 17*z**4/8 + 3*z**3 + 431*z**2. Solve o(x) = 0 for x.
-3/4, -1/3, 1, 2
Determine l, given that 81 + 1/2*l**5 + 39*l**3 - 26*l**2 + 9*l**4 - 207/2*l = 0.
-9, -2, 1
Factor -112*x + 56*x - 7*x**2 - 4*x**3 + 61*x + 5*x**2 + 21*x**2.
-x*(x - 5)*(4*x + 1)
Let q(t) be the second derivative of -5*t**7/168 + 3*t**6/8 + 21*t**5/16 + 55*t**4/48 + 126*t. Find y, given that q(y) = 0.
-1, 0, 11
Let i(x) be the first derivative of -3*x**5/40 + 57*x**4/32 - 144. Factor i(v).
-3*v**3*(v - 19)/8
Let a(f) be the second derivative of 11/14*f**3 + 3/140*f**5 - 12*f + 1/70*f**6 + 0 - 9/28*f**4 - 6/7*f**2. Determine m, given that a(m) = 0.
-4, 1
Let p(q) be the first derivative of 0*q**3 - 1/7*q**2 - 4 + 0*q + 1/14*q**4. Factor p(d).
2*d*(d - 1)*(d + 1)/7
Suppose 6/5 - 3/5*k - 3/5*k**2 = 0. Calculate k.
-2, 1
Factor -17*t**2 + 12*t**4 + t**5 + 64 + t**5 - 47*t**2 - 16*t**3 + 2*t**5.
4*(t - 2)*(t - 1)*(t + 2)**3
Let x(a) be the second derivative of a**6/300 - 7*a**5/200 + a**4/24 + 7*a**3/60 - 3*a**2/10 - 776*a. What is s in x(s) = 0?
-1, 1, 6
Let j be 1 + 12/3 - (116/20 - 1). Let x be (2/(-25))/(2/(-10)). Factor 1/5 + j*v**2 - x*v.
(v - 1)**2/5
Suppose -4*k + 9 = -5*a, 0*k + 5*k + 5*a = 45. Factor 4*m**3 - 12*m**2 + 5*m + 2 + 7*m - k.
4*(m - 1)**3
Factor -21 + 18 + 51 + 4*s**3 - s - 17*s + 2*s - 12*s**2.
4*(s - 3)*(s - 2)*(s + 2)
Suppose -1411*t = -1391*t. Let u(m) = -m**3 + 5*m**2 - 5*m + 4. Let c be u(4). Factor t*r**2 + 0 + 2/3*r**3 + c*r.
2*r**3/3
Let b(q) = 3*q + 5*q**2 - 6*q**2 - 3*q**2 + 4 + q**3. Let x be b(3). Factor y**2 - x*y + 0*y + 6*y - y.
y*(y + 1)
Let h(l) = l - 3. Let w be (-26)/(-3) - 7/(-21). Let z be h(w). Solve -7*f**3 + f**3 - 14*f**4 - z*f**5 - f**4 = 0 for f.
-2, -1/2, 0
Let o(i) be the first derivative of -i**3/3 - i - 8. Let v(m) = -m**3 - 13*m**2 - 16*m - 5. Let c(j) = -5*o(j) + v(j). Solve c(k) = 0 for k.
-4, 0
Let q(y) be the first derivative of 2*y**3/27 + 109*y**2/9 + 370. Solve q(h) = 0 for h.
-109, 0
Let i(c) be the third derivative of -1/30*c**6 + 0*c + 8*c**2 + 0*c**3 + 0*c**5 + 0 + 1/6*c**4. Determine t so that i(t) = 0.
-1, 0, 1
Let j(z) be the first derivative of -z**8/560 - z**7/840 + z**6/120 + z**5/120 - z**3/3 - 8. Let l(n) be the third derivative of j(n). Let l(d) = 0. What is d?
-1, -1/3, 0, 1
Let g(p) = -4*p. Let l be g(-4). Let i = -13 + l. Let i*s**2 + 0*s**3 + 5*s**3 + s**2 + 3*s**3 = 0. What is s?
-1/2, 0
Let w(o) = -o**3 + 11*o**2 - 16*o - 2. Let j be w(2). Determine r, given that 2/9*r**3 - 20/9*r + 2/9*r**j + 16/9 = 0.
-4, 1, 2
Let h = 3 + -1. Suppose 0 = 11*q - 31 + 9. Solve -7*x**2 + 4*x + 4*x**3 - 5*x**2 + 0*x**q + 4*x**h = 0 for x.
0, 1
Let j(m) be the first derivative of 5*m**4/24 - 11*m**3/9 + 7*m**2/3 - 4*m/3 + 40. Factor j(u).
(u - 2)**2*(5*u - 2)/6
Let u(o) be the second derivative of -o**4/72 + 13*o**3/36 + 5*o**2/2 - 20*o + 4. Determine r so that u(r) = 0.
-2, 15
Let n(w) be the first derivative of w**6/6 + 2*w**5/5 - 2*w**4 + 352. Factor n(z).
z**3*(z - 2)*(z + 4)
Let o = -1857 + 1859. Solve 4/5*g**o + 8/5 + 12/5*g = 0 for g.
-2, -1
Determine a, given that 2/5*a**4 + 0 + 16/5*a**3 + 26/5*a**2 + 12/5*a = 0.
-6, -1, 0
Let 7*k**2 + 56*k**2 - 151 + 2*k**3 - 11*k**2 - 17 - 118*k = 0. What is k?
-28, -1, 3
Let t(q) be the second derivative of q**5/45 - q**4/18 - 4*q**3/3 + 2*q**2 - 30*q. Let y(k) be the first derivative of t(k). Solve y(p) = 0 for p.
-2, 3
Suppose -2*f + 29 = 2*f - 3*s, -2*f + 5*s + 25 = 0. Let g = 8 - 5. Factor -7*h**2 + h**2 - 2*h**g + 5*h - 14*h + f*h.
-2*h*(h + 1)*(h + 2)
Let 18*w + 1/2*w**4 - 28 - 9/2*w**3 + 5*w**2 = 0. Calculate w.
-2, 2, 7
Let o = -682 - -545