 c**3/3 + 4*c**2 + 8*c. Determine u so that i(u) = 0.
-1, 1, 2
Let v(c) be the third derivative of -c**5/40 + 13*c**4/2 - 676*c**3 - 6*c**2 - 1. Solve v(z) = 0 for z.
52
Let a(g) be the second derivative of -5*g**4/54 - 118*g**3/27 + 16*g**2/3 + 101*g. Find m such that a(m) = 0.
-24, 2/5
Let g(q) = 24*q**5 - 28*q**4 - 21*q**3 + 33*q**2 - 3*q - 5. Let h(t) = t**3 - t**2 - t + 1. Let y(s) = g(s) + 5*h(s). Find m such that y(m) = 0.
-1, 0, 1/2, 2/3, 1
Let l(b) be the second derivative of b**5/30 + b**4/18 - 4*b**3/9 - 4*b**2/3 + 9*b. Factor l(y).
2*(y - 2)*(y + 1)*(y + 2)/3
Let c(x) = -x**3 + 10*x**2 - 7*x - 13. Let h be c(9). Suppose 0 = h*f - 20, -4*n - 3*f = -6*f - 8. Factor -t**2 + t - n + 5.
-t*(t - 1)
Factor 6 - 80/3*f**2 + 12*f.
-2*(4*f - 3)*(10*f + 3)/3
Let 2*b**2 + 1/6*b**3 - 65/2*b + 275/3 = 0. Calculate b.
-22, 5
Let l(h) be the second derivative of h**5/130 + h**4/39 - 7*h**3/13 + 18*h**2/13 - 100*h. Determine u, given that l(u) = 0.
-6, 1, 3
Factor 2/9*p**4 + 14/9*p**3 + 4/3 + 34/9*p + 34/9*p**2.
2*(p + 1)**2*(p + 2)*(p + 3)/9
Factor 2/3*r**4 + 6*r**2 + 4/3 - 10/3*r**3 - 14/3*r.
2*(r - 2)*(r - 1)**3/3
Let h = 12 - 7. Suppose 0*m = -8*m + 16. Factor 4*z**3 + 9*z**4 - m*z**4 - 44*z**2 + 48*z + 2*z**4 - 16 - 4*z**h + 3*z**4.
-4*(z - 2)*(z - 1)**3*(z + 2)
Let z(p) be the first derivative of -5*p**3/3 + 15*p**2/2 + 241. Suppose z(f) = 0. Calculate f.
0, 3
Let v be (-1110)/2590 - 2/(-2)*1. Factor -1/7*q**2 + v*q + 0.
-q*(q - 4)/7
Let k(m) be the first derivative of m**8/1400 - m**7/2100 - m**6/540 - m**5/900 - 11*m**3/3 + 15. Let u(p) be the third derivative of k(p). Factor u(i).
2*i*(i - 1)*(3*i + 1)**2/15
Suppose 2*d - 3*x = -2*d, d - 3*x = 0. Suppose 3*b = 2*j + 2*j - 8, d = -5*j + b + 10. Let -2/15*c**j + 4/15 - 2/15*c = 0. Calculate c.
-2, 1
Suppose 15*c = 403 + 272. Suppose 0 = -c*n + 50*n - 15. Determine f so that 1/2*f**n - 1/2*f**2 + 0 - f = 0.
-1, 0, 2
Let r = 29 - 21. Find a such that -r*a**2 - 1 + 17 + 56*a - 5*a**2 - 14*a**3 + 9*a**2 = 0.
-2, -2/7, 2
Let w(u) be the second derivative of -8*u**6/5 - 66*u**5/5 - 169*u**4/4 - 66*u**3 - 54*u**2 + 2*u - 17. Determine o so that w(o) = 0.
-2, -3/4
Let p(k) = -11*k - 50. Let c be p(9). Let q = c - -153. Determine d, given that -3/2*d**q + 3/2*d**2 + 3*d + 0 - 3*d**3 = 0.
-2, -1, 0, 1
Suppose -2 = w + 2*g - 0, -3*g - 17 = -2*w. Suppose 7 = -w*y + 23. Factor -10 - y*v**2 + v**2 - 9*v + 4.
-3*(v + 1)*(v + 2)
Let c be (3 - (-40)/(-15))*0. Let d(x) be the first derivative of -1 + c*x + x**2 + 3/2*x**4 - 2/5*x**5 - 2*x**3. What is l in d(l) = 0?
0, 1
Suppose 0*r + 4 = r, 0 = -4*q + 3*r. Let g be (6/(-10))/(q - (-156)/(-40)). Factor -2/3 + 2*t**3 - 2*t + g*t**2.
2*(t - 1)*(t + 1)*(3*t + 1)/3
Let z be (-112)/14 - 128/(-14). Find q such that 0 - 4/7*q + 5/7*q**3 - z*q**2 = 0.
-2/5, 0, 2
Let w(z) be the first derivative of 1/3*z**4 + 6*z**2 - 8/3*z**3 - 5*z + 5. Let b(l) be the first derivative of w(l). Factor b(h).
4*(h - 3)*(h - 1)
Let a = -482 - -3384/7. Factor -6/7*k**2 - 4*k + a.
-2*(k + 5)*(3*k - 1)/7
Let a(b) be the first derivative of -4*b**3/3 + 8*b**2 - 84. Factor a(q).
-4*q*(q - 4)
Let g(v) = v**2 + 4*v - 1. Let m be g(-5). Suppose -11*y = -13*y + m. Factor 44/3*o**4 - 8/3*o + 0 - 32*o**3 + 20*o**y.
4*o*(o - 1)**2*(11*o - 2)/3
Factor -18/11*z**2 + 0 + 2/11*z**3 + 28/11*z.
2*z*(z - 7)*(z - 2)/11
Let t(x) be the second derivative of -x**4/30 - 4*x**3/3 - 20*x**2 - x - 9. Factor t(g).
-2*(g + 10)**2/5
Let r(m) = m**2 - 4*m - 12. Let b(w) = 2*w**2 - 3*w - 14. Let n(j) = 2*b(j) - 3*r(j). Suppose n(i) = 0. Calculate i.
-4, -2
Let s = -191 - -191. Let z(g) be the first derivative of -2/11*g + 4/33*g**3 + s*g**4 + 5 + 0*g**2 - 2/55*g**5. Let z(x) = 0. What is x?
-1, 1
Let b(o) be the first derivative of 3*o**3 - 51*o**2/2 + 30*o + 95. Factor b(v).
3*(v - 5)*(3*v - 2)
Solve 9/5*r + 6/5*r**2 + 0 = 0.
-3/2, 0
Let y(q) = -q**3 + q + 1. Let w(s) = -s - 8. Let a be w(-9). Let m(u) = 11*u**3 + 25*u**2 + 19*u + 4. Let g(j) = a*m(j) + y(j). Factor g(i).
5*(i + 1)**2*(2*i + 1)
Let a = 109 - 92. Suppose 10*y = a*y. Factor 1/3*j**2 + 0 + 1/3*j**5 - 1/3*j**4 + y*j - 1/3*j**3.
j**2*(j - 1)**2*(j + 1)/3
Let h = -101 + 104. Factor 14*v + 15*v**2 - 136 + 141 + v + 5*v**h.
5*(v + 1)**3
Factor 0 + 2*c**2 - 12/7*c - 2/7*c**3.
-2*c*(c - 6)*(c - 1)/7
Solve 80*v**2 + 1/5*v**4 + 0*v + 0 - 8*v**3 = 0.
0, 20
Determine t, given that -90*t + 78*t - 9 + 25 - 4*t**2 = 0.
-4, 1
Suppose -10*c - 9*c = -4*c. Let r(q) be the third derivative of 1/39*q**3 + c + 1/780*q**6 + 1/52*q**4 - 6*q**2 + 0*q + 1/130*q**5. Factor r(l).
2*(l + 1)**3/13
Let w(t) = t - 6. Let n be w(10). Suppose -n*y + 4*k = 8, 0 = 4*y - 0*k + 2*k - 16. Determine h, given that 12/5*h**3 - 3*h**y + 9/5 - 6/5*h = 0.
-3/4, 1
Let p(w) = -257*w + 18. Let j be p(-5). Let d = 16947/13 - j. Let -d*o + 8/13 + 6/13*o**4 - 14/13*o**2 + 8/13*o**3 = 0. What is o?
-2, -1, 2/3, 1
Let c = 19 + -14. Let y(t) = 2*t**3 + t**2 + 7*t - 5. Let l(b) = -b**3 - 3*b + 2. Let u(i) = c*l(i) + 2*y(i). Factor u(h).
-h*(h - 1)**2
Factor 16*n - 24 - 43*n**2 - 59*n**2 + 100*n**2.
-2*(n - 6)*(n - 2)
Let u(p) be the second derivative of -p**6/105 - 2*p**5/35 - p**4/14 + 2*p + 2. Determine y so that u(y) = 0.
-3, -1, 0
Factor 6*r**3 + 0*r**4 - 613*r**5 + r**4 + 612*r**5.
-r**3*(r - 3)*(r + 2)
Find o such that -3/2*o**2 - 231/2 - 117*o = 0.
-77, -1
Suppose -5*c = -k - k - 18, 0 = 5*k + 2*c - 13. Let v(a) = -11*a**3 - 2*a**2 + 7*a - 2. Let n(y) = -y**3 - y**2. Let f(m) = k*v(m) - 4*n(m). Factor f(o).
-(o - 1)*(o + 1)*(7*o - 2)
Let o(x) be the third derivative of 0*x + 0 + x**2 + 0*x**5 + 1/42*x**7 - 5/336*x**8 + 1/12*x**6 + 0*x**3 + 0*x**4. Let o(q) = 0. Calculate q.
-1, 0, 2
Let x(z) be the second derivative of 17/80*z**5 + 30*z + 0 - 15/8*z**4 + 27*z**2 + 9/2*z**3 - 1/120*z**6. Factor x(k).
-(k - 6)**3*(k + 1)/4
Let d(p) be the second derivative of 3*p**4/4 - 37*p**3 - 75*p**2/2 + 50*p. Let d(n) = 0. Calculate n.
-1/3, 25
Let x(j) = 4*j**3 - j**2 + 1. Let p be x(3). Suppose -s - p = -5*s. Factor 7*d**2 - s*d**2 - 33 + 47*d + d + 1.
-2*(3*d - 4)**2
Let y(j) be the third derivative of 5/6*j**3 + 1/72*j**5 + 0*j + 25/144*j**4 + 0 - 9*j**2. Suppose y(i) = 0. What is i?
-3, -2
Let x be (-2)/(-4) - 15/(-6). Let q(g) be the first derivative of -6*g**2 + 12*g + 10 + 0*g + g**x - 3. Solve q(m) = 0.
2
Suppose 2*d + 81 = -3*r, -4*d + 0*r = -3*r + 117. Let s(l) = 57*l**2 - 384*l + 1536. Let j(q) = -7*q**2 + 48*q - 192. Let f(u) = d*j(u) - 4*s(u). Factor f(w).
3*(w - 8)**2
Let p(k) be the first derivative of 2*k**5/35 - k**4/14 - 4*k**3/21 - 114. Factor p(r).
2*r**2*(r - 2)*(r + 1)/7
Let s(a) be the first derivative of -4*a**3/15 + 18*a**2/5 - 32*a/5 + 115. Factor s(i).
-4*(i - 8)*(i - 1)/5
Let i = 3 + 1. Suppose f - 8 = j + i*j, 1 = f + 2*j. Solve -4*y**3 - 3*y**5 + 2*y**4 - 8*y**4 + 4*y**3 - f*y**3 = 0.
-1, 0
Let k = -34 + 34. Factor 4*r**2 + k*r - 4 + 8*r - 8*r.
4*(r - 1)*(r + 1)
Let w(v) be the second derivative of v**5/70 + 2*v**4/21 - 19*v**3/21 + 2*v**2 + 380*v - 1. Let w(k) = 0. Calculate k.
-7, 1, 2
Suppose -3*p + 210 = 195. Let v be p/12*(-6)/(-15). Factor -1/6*f**2 + 1/6 - 1/6*f + v*f**3.
(f - 1)**2*(f + 1)/6
Let k(v) be the second derivative of -4/3*v**4 + 2*v - 5 + 0*v**2 + 3/5*v**5 + 2/3*v**3. Factor k(b).
4*b*(b - 1)*(3*b - 1)
Let -4*f**4 - 395*f + 100*f - 780*f**2 - 161*f + 140*f - 108*f**3 - 360*f = 0. What is f?
-13, -1, 0
Suppose 30/7*j + 3/7*j**2 - 33/7 = 0. Calculate j.
-11, 1
Let u(f) be the third derivative of -f**9/12096 + f**7/1008 - 2*f**5/5 + 12*f**2. Let c(b) be the third derivative of u(b). Determine w, given that c(w) = 0.
-1, 0, 1
Let y(b) be the second derivative of -b**5/50 - 7*b**4/15 + 23*b**3/5 - 54*b**2/5 - 124*b. Factor y(u).
-2*(u - 3)*(u - 1)*(u + 18)/5
Let t(b) be the third derivative of b**5/80 + 27*b**4/32 - 7*b**3/2 - 3*b**2 + 11. Solve t(h) = 0.
-28, 1
Let i(p) be the third derivative of -p**6/60 - 2*p**5/15 - 5*p**4/12 - 2*p**3/3 + 4*p**2 - 4. Factor i(a).
-2*(a + 1)**2*(a + 2)
Suppose 0 = 4*z - 80 - 40. Suppose 20*d**4 - 20 + 50*d - 15*d**2 + 30*d**2 - 34*d**3 + z*d - 31*d**3 = 0. Calculate d.
-1, 1/4, 2
Let d be 12*1*(-10)/130. Let m = 86/65 + d. Factor m*k**2 + 0 - 2/5*k.
2*k*(k - 1)/5
Let m(n) be the third derivative of 0*n**3 - 4/45*n**5 - 1/72*n**6 