9. Let i = -32/3 - m. Find r such that 0 + i*r**3 + 2/3*r**2 + 1/3*r = 0.
-1, 0
Let x = -1/309 + 2850/103. Let n = x + -25. Suppose -n - 2/3*g**2 + 8/3*g = 0. What is g?
2
Suppose 2*q + 3 = 3*q. Let t be 2 + -3 + (q - 2). Factor 2/7*v**2 + 0*v + 0 + t*v**3 - 2/7*v**4.
-2*v**2*(v - 1)*(v + 1)/7
Let u(s) be the third derivative of 1/84*s**8 + 0 + 0*s + 7*s**2 + 1/30*s**6 + 0*s**4 + 0*s**5 - 4/105*s**7 + 0*s**3. Factor u(p).
4*p**3*(p - 1)**2
Let x(z) be the third derivative of 0*z - 3/8*z**6 + 7/48*z**8 - 7/15*z**5 + 2/15*z**7 - 1/6*z**4 + 0 - z**2 + 0*z**3. Let x(c) = 0. Calculate c.
-1, -2/7, 0, 1
Let u(h) be the second derivative of 0*h**4 + 2*h + 0*h**3 + 0 + 0*h**2 - 1/20*h**5. Factor u(s).
-s**3
Let p(o) be the second derivative of 8*o - 3/4*o**2 - 1/16*o**4 + 3/8*o**3 + 0. Factor p(m).
-3*(m - 2)*(m - 1)/4
Let b be -5 + 4/2 - -3. Suppose -5*x - 2*p - p + 10 = b, 5*p - 10 = -5*x. Find j such that 0*j**x + 0 + 0*j - 1/3*j**4 - 1/3*j**3 = 0.
-1, 0
Let j be (3 - 46/16)*(-4)/(-6). Let s(q) be the second derivative of -j*q**3 - q + 1/8*q**2 + 0 + 1/48*q**4. Let s(p) = 0. Calculate p.
1
Suppose 0 + 5/6*o**3 + 5*o**2 + 0*o = 0. Calculate o.
-6, 0
Solve -6/7*h**2 + 2/7*h**4 + 4/7*h + 0 + 0*h**3 = 0.
-2, 0, 1
Let s(u) = 3*u - 2. Let j be s(3). Suppose 0 = -2*x - 1 + j. Suppose 1/2*q - q**2 + 1/2*q**x + 0 = 0. Calculate q.
0, 1
Let k = -177 - -180. Factor 2/5*p**2 + 0*p**4 - 1/5*p**5 + 4/5*p**k - 2/5 - 3/5*p.
-(p - 2)*(p - 1)*(p + 1)**3/5
Find o, given that -8*o**2 + 2 - 2*o**3 - o**3 + 4*o + 6*o**4 - o**3 = 0.
-1, -1/3, 1
Suppose 4*l - 64 = -0*l - 5*q, 2*l - 5*q - 32 = 0. Factor 8 - l*b**2 + 4*b**2 + 19*b - 15*b.
-4*(b - 1)*(3*b + 2)
Factor 2*w**4 - 2*w**2 - w**3 + 2*w + 0*w - w**3 + 0*w**3.
2*w*(w - 1)**2*(w + 1)
Solve 0*q + 5/3*q**2 - 10/3*q**5 + 0*q**3 - 5*q**4 + 0 = 0.
-1, 0, 1/2
Let r(t) be the first derivative of 3/2*t**4 + 3 - 3/5*t**5 - 1/2*t**6 - 3/2*t**2 + 2*t**3 - 3*t. Factor r(i).
-3*(i - 1)**2*(i + 1)**3
Let g = -64 + 125/2. Let q = -5/4 - g. Solve 1/4*r - 1/2*r**2 - q*r**3 + 1/2 = 0 for r.
-2, -1, 1
Let l(y) be the second derivative of y - 1/27*y**4 - 1/27*y**3 - 1/90*y**5 + y**2 + 0. Let n(x) be the first derivative of l(x). Find f such that n(f) = 0.
-1, -1/3
Let k(y) = -3*y - 10. Let r be k(-4). Suppose -3 = -r*v + 1. Factor 2/3*s**3 + 0*s + 0 - 2/3*s**v.
2*s**2*(s - 1)/3
Let n be 2*3/(-2) - -18. Let g be ((-16)/(-20))/(9/n). Let -12*v**4 - 44/3*v**3 + g - 10/3*v**5 - 16/3*v**2 + 2*v = 0. What is v?
-1, 2/5
Let m be (-1 - 9) + -2 + 4. Let v = m - -10. Determine x, given that 1/2 + 1/4*x**3 - 3/4*x + 0*x**v = 0.
-2, 1
Let l(m) = -m**2 - 5*m - 2. Let h be l(-4). Factor q**2 + 4 + 0*q**h - 3*q**2 + 2*q + 0*q**2.
-2*(q - 2)*(q + 1)
Suppose 0 = -0*m + 3*m - 12. Let q be 6/m + 8/16. Factor 13*g**3 - 9*g**2 + q - 3*g**4 - 2*g + g - 2*g**4.
-(g - 1)**3*(5*g + 2)
Let f(w) be the first derivative of w**4/26 + 10*w**3/39 + 8*w**2/13 + 8*w/13 + 2. Factor f(o).
2*(o + 1)*(o + 2)**2/13
Suppose 0*o = 3*o - 60. Suppose -4*t - d + 6*d - 5 = 0, 3*d - o = -t. Solve 2*i**2 + 1/2*i + 1/2*i**t + 0 + 3*i**3 + 2*i**4 = 0 for i.
-1, 0
Suppose 3*v - v = 0. Suppose y + 4*y - 10 = v. Solve y*i**3 - 4*i + i + i = 0 for i.
-1, 0, 1
Let h(a) be the first derivative of -a**4/4 + 2*a**3/3 + a**2/2 - 2*a + 30. Factor h(n).
-(n - 2)*(n - 1)*(n + 1)
Let c(d) be the second derivative of d**4/4 - d. Solve c(g) = 0.
0
Let l(f) = 5*f**2 - 7*f - 12. Let r(p) = 2*p**2 - 2*p - 4. Let i(m) = -4*l(m) + 11*r(m). Determine d, given that i(d) = 0.
-2, -1
Let f = 34 + -24. Let c = -6 + f. Let o(r) = -14*r**4 + 6*r**3 - 14*r**2. Let t(l) = 5*l**4 - 2*l**3 + 5*l**2. Let d(g) = c*o(g) + 11*t(g). Factor d(n).
-n**2*(n - 1)**2
Let c(v) = 51*v**4 + 380*v**3 + 849*v**2 + 711*v + 151. Let a(t) = -13*t**4 - 95*t**3 - 212*t**2 - 178*t - 38. Let n(r) = 9*a(r) + 2*c(r). Factor n(p).
-5*(p + 2)**3*(3*p + 1)
Let x = 4119/5 + -819. Factor 32/5 + x*t**2 - 48/5*t - 4/5*t**3.
-4*(t - 2)**3/5
Let n(i) be the second derivative of -7*i**5/20 + i**4 - i**3/2 - i**2 + 5*i. Solve n(q) = 0 for q.
-2/7, 1
Let g be (-40)/(-6) - 6/9. Let o be (-16)/g + 6/2. Factor 0 - o*d**2 + 0*d.
-d**2/3
Let i(v) be the second derivative of v**5/60 + v**4/18 - v**3/18 - v**2/3 - 29*v. Find x such that i(x) = 0.
-2, -1, 1
Let c(j) = 18*j**3 - 42*j**2 + 32*j - 10. Let y(f) = 36*f**3 - 84*f**2 + 64*f - 21. Let t(l) = 10*c(l) - 4*y(l). Factor t(n).
4*(n - 1)*(3*n - 2)**2
Let f(x) = 6*x**2 + 6*x - 3. Let b(c) = 5*c**2 + 7*c - 2. Let n(k) = 3*b(k) - 2*f(k). Determine l so that n(l) = 0.
-3, 0
Let n(l) be the second derivative of -l**6/20 - 3*l**5/40 + 3*l. Factor n(t).
-3*t**3*(t + 1)/2
What is l in 20*l**3 - 1047*l**4 + 10*l + 20*l**2 + 2 + 2*l**5 + 0*l**5 + 1057*l**4 = 0?
-1
Solve -24/7*q**3 + 20/7*q**4 - 6/7*q**5 - 2/7*q + 0 + 12/7*q**2 = 0.
0, 1/3, 1
Let h = -625 + 7489/12. Let q = -2/3 - h. Solve 1/2*s - 1/4*s**4 + 5/4*s**2 + 0 - q*s**5 + 3/4*s**3 = 0.
-1, 0, 2
Let s(d) be the third derivative of -d**8/1512 + d**6/270 - d**4/108 - 3*d**2. Factor s(l).
-2*l*(l - 1)**2*(l + 1)**2/9
Let z(i) = i**2 - 3*i + 2. Suppose -5*s - 3*y = -19, -s = -5*s + 4*y - 4. Let j be z(s). Solve 2/5*b**5 + 0 + 0*b + 0*b**2 - 2/5*b**4 + j*b**3 = 0 for b.
0, 1
Let s(h) be the first derivative of -2*h**3/3 + 2*h**2/5 - 4. Factor s(o).
-2*o*(5*o - 2)/5
Let k(b) be the second derivative of b**7/210 + 2*b**6/75 + b**5/20 + b**4/30 + 6*b. Determine f so that k(f) = 0.
-2, -1, 0
Let q be (((-4)/(-8))/(1 + 0))/1. What is h in -q*h**4 + 1/2*h**2 + 1/2*h**3 + 0 - 1/2*h = 0?
-1, 0, 1
Let 2/9*u**2 + 8/9 - 10/9*u = 0. Calculate u.
1, 4
Let r = -9 - -5. Let j be r/(-14) - 94/(-14). Suppose -5 - y + 16*y**2 + 1 + 6*y**3 + j*y = 0. What is y?
-2, -1, 1/3
Factor -2*o - o**2 - 1 + 5 - 1.
-(o - 1)*(o + 3)
Let z(r) be the second derivative of -r**6/80 - 27*r**5/160 - 11*r**4/16 + 6*r**2 + 14*r. Solve z(i) = 0.
-4, -2, 1
Let x(d) = -2*d**2 + 10*d + 52. Let k be x(8). Determine c so that 1/4*c - 1/4*c**2 - 1/4*c**3 + 1/4*c**k + 0 = 0.
-1, 0, 1
Let m be 0 - (-2)/(-2) - -7. Find s such that -3*s**5 - m*s**2 + 9*s**3 + s**4 - 3*s + 2*s**4 - 3*s**3 + 3 = 0.
-1, 1
Let g(f) = -f**2. Let v(a) = 4*a**2 + 16*a + 64. Let x(c) = 3*g(c) + v(c). Find i such that x(i) = 0.
-8
Let i(w) be the third derivative of -w**8/42 + 16*w**7/105 - 3*w**6/20 - 13*w**5/30 + 13*w**4/12 - w**3 - 2*w**2 - 15. Find h, given that i(h) = 0.
-1, 1/2, 1, 3
Let z(l) be the third derivative of 9*l**7/175 + 9*l**6/100 - 3*l**5/25 - 7*l**4/15 - 8*l**3/15 - 12*l**2. Suppose z(i) = 0. Calculate i.
-2/3, 1
Find g, given that -1/5 - 3/5*g - 1/5*g**3 - 3/5*g**2 = 0.
-1
Suppose -2*x = -4 - 2. Solve -2*j**x - 7*j - 5 + 0*j**3 + 4*j**2 + 9*j + 1 = 0 for j.
-1, 1, 2
Let s(r) = -3*r**2 + 2*r + 1. Let t(k) = 21*k**2 - 15*k - 6. Let n(z) = -27*s(z) - 4*t(z). Let n(h) = 0. What is h?
1
Determine w so that 8/3*w - 2/3*w**2 - 2 = 0.
1, 3
Let d(y) = -y**3 - y**2 + 3*y + 1. Let a be d(-3). Let s be -8*(2 - a/4). Factor -2*r**2 - 6*r**s + r**5 + 3*r**3 + r**2 + 3*r**4.
r**2*(r - 1)**3
Let z(w) be the second derivative of -w**8/36960 + w**6/3960 + w**4/3 - 5*w. Let d(b) be the third derivative of z(b). Factor d(n).
-2*n*(n - 1)*(n + 1)/11
Let j(k) = -6*k**2 - 14*k + 8. Let z(c) = 4*c**2 + 9*c - 5. Let w(p) = 5*j(p) + 8*z(p). Factor w(a).
2*a*(a + 1)
Let v(m) be the second derivative of m**4/12 - m**3/3 - 3*m**2/2 + 2*m. Factor v(q).
(q - 3)*(q + 1)
Let k(t) = 2*t**3 - t**2 - 3*t + 3. Let n(j) = -j**3 - j**2 - 1. Let p(o) = -k(o) - 3*n(o). Factor p(c).
c*(c + 1)*(c + 3)
Let l(s) be the third derivative of -s**5/12 + 5*s**4/24 + 5*s**3/3 - 44*s**2. Determine k so that l(k) = 0.
-1, 2
Let i(x) be the third derivative of 0 + 0*x**4 + 0*x - x**3 + 1/15*x**5 + x**2. Let c(g) = g**3 + 3*g**2 - 5. Let z(h) = -2*c(h) + 3*i(h). Solve z(r) = 0.
-1, 2
Let s(v) be the first derivative of 1/21*v**4 + 0*v**3 + 2 + 2*v + 0*v**2 + 1/70*v**5. Let o(t) be the first derivative of s(t). Factor o(n).
2*n**2*(n + 2)/7
Let q(w) = -w**4 - w**3. Let o(i) = -3*i**4 + 13*i**3 - 4*i**2. Suppose -10 = j + 3*u, 4*j + 4*u + 1 = 5*u. Let b(m) = j*o(m) - 3*q(m). Factor b(a).
2*a**2*(a - 1)*(3*a - 2)
Let s(n) be the first derivative of 2*n**5/15 + 5*n**4/6 + 2*n**3 + 7*n**2/3 + 4*n/3 - 35. Find w such that s(w) = 0.
-2, -1
Solve -3/4 + 3/2*i**3 - 1/4*i**4