 9. Find x such that u(x) = 0.
0, 4
Let c = 184/3 - 60. Factor -2/3*n + 2/3*n**2 - c.
2*(n - 2)*(n + 1)/3
Let v = -438 - -446. Solve 4/7 + 158/7*r**3 - 10/7*r - 128/7*r**4 - v*r**2 + 32/7*r**5 = 0 for r.
-1/4, 1/4, 1, 2
Let t(z) = 2*z**5 + 3*z**4 + 5*z**3 + 2*z**2 + z. Let s(l) = -l**5 + l**4 - l. Let r(v) = -s(v) - t(v). Factor r(b).
-b**2*(b + 1)**2*(b + 2)
Let h = 36 - 28. Let y = 8 - h. Factor 0 + y*v - 1/3*v**3 - 1/3*v**2.
-v**2*(v + 1)/3
Suppose 4*y + 0*y = 4*i + 20, -3*y = 2*i - 10. Factor h**2 - h**3 + y - 4.
-h**2*(h - 1)
Let j = -363401/2452 + -27/613. Let d = -147 - j. Let -3/2*a**2 + d*a**4 - 1/2*a**3 + 3/4*a**5 + 1/4 - 1/4*a = 0. Calculate a.
-1, 1/3, 1
Let m = -1831/33 - -167/3. Suppose 0*n + m*n**5 + 0 + 2/11*n**3 + 0*n**2 + 4/11*n**4 = 0. Calculate n.
-1, 0
Let k(n) be the third derivative of -5/84*n**4 + 0*n + 1/30*n**5 + 0 - 2/21*n**3 + n**2. Let k(s) = 0. Calculate s.
-2/7, 1
Suppose -w - 4 = -3*w. Factor 3*j**w + 0*j - 5*j**2 + 2 + 0*j.
-2*(j - 1)*(j + 1)
Factor -1/4*y + 1/2*y**2 - 1/4*y**3 + 0.
-y*(y - 1)**2/4
Let y(k) be the first derivative of k**6/120 - k**5/40 - k**4/4 - 4*k**3/3 + 1. Let m(w) be the third derivative of y(w). What is s in m(s) = 0?
-1, 2
Let c(x) be the second derivative of -5*x**7/84 - 5*x**6/24 - x**5/4 - 5*x**4/48 + 10*x. Suppose c(r) = 0. Calculate r.
-1, -1/2, 0
Factor -4/3*l**2 + 8/3*l + 2/9*l**3 - 16/9.
2*(l - 2)**3/9
Let i(c) = -c**2 - 7*c - 14. Let f(q) = -q**2 + q - 1. Let j(n) = 2*f(n) - i(n). Let k be j(10). Factor -1/2 + 1/4*w + 1/4*w**k.
(w - 1)*(w + 2)/4
Let i(v) be the third derivative of 2/15*v**6 + 0 + 0*v**5 + 8*v**2 - 2/3*v**3 + 0*v - 1/2*v**4. Find o, given that i(o) = 0.
-1/2, 1
Let k be 2*5/((-15)/(-6)). Factor -k*i - i**2 - 2 + 0*i**2 - i**2.
-2*(i + 1)**2
Let c(p) be the second derivative of 1/6*p**4 + 0 - 1/30*p**5 + 0*p**3 - 1/2*p**2 + p. Let v(b) be the first derivative of c(b). Factor v(i).
-2*i*(i - 2)
Factor 430*p**2 - 430*p**2 + 5*p - 5*p**3.
-5*p*(p - 1)*(p + 1)
Let m be 3 - 24/4 - 11/(-3). Factor 2/3*q**3 + m*q**4 + 0 + 0*q - 4/3*q**2.
2*q**2*(q - 1)*(q + 2)/3
Let m(p) = -p**4 - p - 1. Let j(u) = 21*u**4 + 9*u**3 - 3*u**2 + 6*u + 12. Let g(n) = j(n) + 15*m(n). Solve g(k) = 0 for k.
-1, -1/2, 1
Let c be (-36)/(-9)*(-1)/(-2). Suppose w**c - 1 - 1 + 1 - 3 = 0. What is w?
-2, 2
Let u(q) be the second derivative of 1/3*q**3 + 1/3*q**4 - q**2 + 0 + 1/21*q**7 - 1/15*q**6 - 1/5*q**5 + 3*q. Factor u(s).
2*(s - 1)**3*(s + 1)**2
Suppose 2*p - 3*p - 5*l = 12, -4*p + 4*l = -24. Factor 5*k**2 - k**p + 4*k**3 + 2*k**2 + 3 + 9*k + 2*k**2.
3*(k + 1)**3
Let b(a) be the first derivative of 3*a**5/35 - 9*a**4/28 - 2. Factor b(d).
3*d**3*(d - 3)/7
Determine k, given that -16*k + 23*k**3 - 20*k**4 + 24*k**3 + 48*k**2 - 59*k**3 = 0.
-2, 0, 2/5, 1
Suppose -72*v - 324 + 0*v**2 - 2*v**2 - 2*v**2 = 0. Calculate v.
-9
Let k(j) = -4*j**3 - 5*j**2 - 4*j - 3. Let v(d) = -d**3 - 3*d**2 - 3. Let b be v(-3). Let y(w) = -w - 1. Let u(m) = b*y(m) + k(m). Factor u(a).
-a*(a + 1)*(4*a + 1)
Factor -16/3 + 8*b + 2/3*b**3 - 4*b**2.
2*(b - 2)**3/3
Let n = 192 - 18. Let f = n + -1216/7. Factor 0 - f*u**2 + 0*u.
-2*u**2/7
Factor 17*s + 5*s**2 - 3 + 3*s**3 + 29*s**4 - 26*s**2 - 25*s**4.
(s - 1)**2*(s + 3)*(4*s - 1)
Let b = 5 + -5. Suppose -4*d - 4*d**3 - 6*d**2 - d**4 - 1 + b + 0*d**4 = 0. Calculate d.
-1
Let q(s) be the second derivative of s**8/336 - s**7/105 + s**6/120 + s**2 + 2*s. Let j(m) be the first derivative of q(m). Let j(y) = 0. Calculate y.
0, 1
Let n(t) be the third derivative of -t**7/735 - t**6/420 + t**5/35 + t**4/21 - 8*t**3/21 + 12*t**2. Suppose n(g) = 0. What is g?
-2, 1, 2
Let n(d) = d**3 + 3*d**2 + d - 1. Let w be n(-3). Let o be w/12 + 11/15. Factor -6/5*y**4 + 4/5*y**2 + 2/5*y**5 + 4/5*y**3 + o - 6/5*y.
2*(y - 1)**4*(y + 1)/5
Let y(u) = 4*u**3 + 3*u**2 + 2. Let a(i) = -11*i**3 - 9*i**2 - i - 6. Let c(l) = -3*a(l) - 8*y(l). Let q(n) be the first derivative of c(n). Factor q(b).
3*(b + 1)**2
Let f = 15/14 - -3/7. Suppose 3/2*x - 3 + f*x**2 = 0. What is x?
-2, 1
Let o(l) be the first derivative of -2*l**5/55 - l**4/22 + 2*l**3/33 + l**2/11 - 11. Determine i, given that o(i) = 0.
-1, 0, 1
Let x(h) = -h**2 + 8*h - 9. Let p be x(5). Determine s so that 5*s**2 - 5*s**2 - 2 + 2*s**2 - s**3 - p*s**2 - 5*s = 0.
-2, -1
Let p(a) be the first derivative of 0*a**3 + 2 + 0*a - 1/4*a**2 + 1/8*a**4. Factor p(j).
j*(j - 1)*(j + 1)/2
Let k be ((-3)/(-2))/(9/12). Factor -2*x**k - 16*x + x**5 - 8 - 7*x**4 - 3*x**5 + 10*x**3 + 9*x**4.
-2*(x - 2)**2*(x + 1)**3
Let h(i) = 16*i**3 - 16*i**2 - 89*i - 57. Let z(d) = -4*d**3 + 4*d**2 + 22*d + 14. Let o(p) = 2*h(p) + 9*z(p). Solve o(k) = 0 for k.
-1, 3
Let p be 146/28 + 2 + -3. Let y = -26/7 + p. Factor 0 + 1/2*x**5 - 1/2*x**3 + y*x**2 + 0*x - 1/2*x**4.
x**2*(x - 1)**2*(x + 1)/2
Let h(y) be the first derivative of -5*y**3/3 - 5*y**2 - 5*y - 4. Factor h(z).
-5*(z + 1)**2
Let m(b) be the third derivative of 0 - 3/40*b**6 - 1/112*b**8 + 0*b**4 + 2*b**2 + 0*b**3 - 1/20*b**5 + 0*b - 3/70*b**7. Find p such that m(p) = 0.
-1, 0
Suppose 4*t = 6*t - 4. Suppose 3*r + 1 = -c + t*c, -c = -1. Let r + 2/7*x**2 + 2/7*x = 0. Calculate x.
-1, 0
Let l = 28/31 - 69/248. Solve -1/2 - 1/8*a**2 - 7/8*a**5 + 23/8*a**3 - 2*a + l*a**4 = 0 for a.
-1, -2/7, 1, 2
Let m(j) be the first derivative of j**4/4 + 4*j**3/3 + 5*j**2/2 + 2*j + 7. Factor m(x).
(x + 1)**2*(x + 2)
Let y(x) be the second derivative of -7*x**4/90 + 8*x**3/45 - x**2/15 - x. Factor y(a).
-2*(a - 1)*(7*a - 1)/15
Suppose 0 = 2*v + 3*o - 13 + 3, o - 2 = 0. Factor 24*p**2 + p - 11*p**2 - 10*p**v + 5*p.
3*p*(p + 2)
Let t(c) be the first derivative of 5 + 27/2*c**2 - 3*c**4 + 3*c**3 + 6*c. Solve t(h) = 0 for h.
-1, -1/4, 2
Let i = -75 - -77. Factor 6/5*h**4 + 0 + 0*h - 2/5*h**5 + 2/5*h**i - 6/5*h**3.
-2*h**2*(h - 1)**3/5
Let m = -87 + 87. Let 1/4*y**4 + m + 0*y - 1/4*y**3 - 1/4*y**2 + 1/4*y**5 = 0. Calculate y.
-1, 0, 1
Suppose 0 = -4*t - 6 + 18. Let 0 - o - 1/2*o**t - 3/2*o**2 = 0. What is o?
-2, -1, 0
Let t(z) be the second derivative of 9*z**5/20 - z**4/4 - 3*z**3/2 + 3*z**2/2 + 6*z. Find n such that t(n) = 0.
-1, 1/3, 1
Let z(u) = 4*u + 44. Let d be z(-11). Factor 6/7*y**4 + 0*y + d + 6/7*y**3 + 2/7*y**2 + 2/7*y**5.
2*y**2*(y + 1)**3/7
Factor 8/3*i + 8/3 + 2/3*i**2.
2*(i + 2)**2/3
Suppose -1 = -5*g + 14. Solve 1/2 + 5/4*r**4 - 7/4*r**2 - 3/4*r + 3/4*r**g = 0 for r.
-1, 2/5, 1
Let x(s) be the first derivative of -3*s**4/4 + 5*s**3 - 6*s**2 - 13. What is r in x(r) = 0?
0, 1, 4
Let a(c) = c**2 + 6*c - 6. Let l be a(-6). Let u = l - -10. Factor 7*g**4 + 9*g**2 - 3*g - 18*g**3 + 3*g**2 + 5*g**u - 3*g**5.
-3*g*(g - 1)**4
Let z = -10 - -12. Find y, given that -y**3 - 4*y**2 + z + y + 0*y**2 + 2*y**2 = 0.
-2, -1, 1
Let 2*y**3 - 39*y - 6*y**2 - 10*y**2 - 14*y**3 + 56*y**2 + 9 = 0. What is y?
1/3, 3/2
Suppose 0 = 2*c + m - 12, -4*m + 3 = -0*c - c. Factor 12/7*v**4 + 32/7*v**2 + 4/7 - 18/7*v - 4*v**3 - 2/7*v**c.
-2*(v - 2)*(v - 1)**4/7
Let p(w) be the second derivative of w**5/70 - w**3/21 + w. Solve p(v) = 0.
-1, 0, 1
Let f be -1 - -1 - (-6)/1. Let g be ((-15)/10)/(6/(-8)). Determine m so that -g*m**2 + 10*m**3 - 4 + 4 - 14*m**4 + f*m**5 = 0.
0, 1/3, 1
Suppose 0 + 0*l - 1/3*l**4 + 0*l**2 - 2/3*l**3 = 0. What is l?
-2, 0
Let u(q) = -21*q**4 + 51*q**3 - 44*q**2 + 16*q + 1. Let i(f) = 20*f**4 - 50*f**3 + 44*f**2 - 16*f. Let g(p) = 6*i(p) + 4*u(p). Factor g(c).
4*(c - 1)**2*(3*c - 1)**2
Let v(w) be the second derivative of 5*w**7/42 - 3*w**5/4 - 5*w**4/6 - 7*w. Solve v(f) = 0.
-1, 0, 2
Let q = 52496 + -2309981/44. Let x = 15/4 + q. Suppose -2/11*c + x*c**3 + 0*c**2 + 0 = 0. Calculate c.
-1, 0, 1
Determine v so that -5/2*v**2 + 3 + 7/2*v = 0.
-3/5, 2
Let i(h) be the third derivative of -7*h**2 + 1/105*h**6 - 1/21*h**4 + 2/735*h**7 + 0 - 2/21*h**3 + 0*h**5 + 0*h. Let i(j) = 0. Calculate j.
-1, 1
Let q(y) be the second derivative of -y**4/4 - y**3 - 3*y**2/2 + 6*y. Let q(f) = 0. What is f?
-1
Let a(w) be the second derivative of -w**4/4 - w**3 + 6*w. Find c, given that a(c) = 0.
-2, 0
Let j = 75513296/1245 - 303294/5. Let x = -18/83 - j. Factor -1/3 - x*y**2 - 8/3*y.
-(4*y + 1)**2/3
Solve 0*u**2 + 6/11*u**3 + 0*u + 2/11*u**4 + 0 = 0.
-3, 0
Suppose -6*d + 7*d = 0. Let l(z) = z**3 + 4*z**2 + 2*z - 1. Let i be l(-2). What is b in -b**i - b**2 +