/9 + 2932. Determine l, given that -2/9*l**2 + h*l - 2/3 = 0.
1, 3
Suppose 0 = -600*j + 571*j + 58. Factor -2/5*q - 2/5*q**j + 12/5.
-2*(q - 2)*(q + 3)/5
Let t(f) be the second derivative of f**7/462 - 17*f**6/330 - 21*f**5/220 + 49*f**4/132 + 4*f**3/3 + 18*f**2/11 - 186*f. Determine l, given that t(l) = 0.
-1, 2, 18
Factor 0*o - 2/3*o**3 + 0 - 26/3*o**2.
-2*o**2*(o + 13)/3
Let b be 53/5 + -7 - 6/10. Let n(j) be the first derivative of 14/5*j**5 + 8*j + 50/3*j**b + 1/3*j**6 + 16*j**2 + 19/2*j**4 - 2. Factor n(x).
2*(x + 1)**3*(x + 2)**2
Let d(g) be the third derivative of g**5/30 + 137*g**4/6 + 18769*g**3/3 + 460*g**2. Suppose d(j) = 0. What is j?
-137
Let q = -186 + 552. What is d in 5*d**3 + 722*d - 361*d - q*d = 0?
-1, 0, 1
Let d(f) be the first derivative of -1/19*f**2 - 2/19*f**3 + 0*f - 1/19*f**4 - 11. Factor d(l).
-2*l*(l + 1)*(2*l + 1)/19
Let s = 97/4 - 145/6. Let r(n) be the second derivative of -s*n**4 + 0 - 1/6*n**3 - 3*n + n**2. Suppose r(p) = 0. Calculate p.
-2, 1
Let n(f) be the first derivative of 7*f**6/120 + f**5/20 + 7*f**3/3 - 6. Let b(m) be the third derivative of n(m). Factor b(o).
3*o*(7*o + 2)
Let c(m) be the third derivative of m**9/483840 - m**8/26880 + m**7/8064 + m**5/4 - 25*m**2. Let d(v) be the third derivative of c(v). Let d(i) = 0. What is i?
0, 1, 5
Let x = 5 - -5. Suppose 6*n - n - x = 0. Find z such that 2 + 0*z**2 + 8*z**3 + 7*z**n + z**4 + z**4 + 8*z + 5*z**2 = 0.
-1
Let p be (-10)/(-140)*(0 + 7). Let s = 5/4 + -3/4. Factor -1/2*g + p*g**3 + 0 - 1/2*g**2 + s*g**4.
g*(g - 1)*(g + 1)**2/2
Let m = -2065 - -2068. Let x(i) be the first derivative of -1/3*i - 9*i**4 - 14 - 2*i**2 - 27/5*i**5 - 6*i**m. Factor x(l).
-(3*l + 1)**4/3
Suppose -4*r - 4*f - 2 = -r, -4*r + 2*f = -12. Suppose -2*a = 5*k, r*k = -3*a + 5*a. Let -s**3 + s - 1/2*s**4 + a + 1/2*s**2 = 0. Calculate s.
-2, -1, 0, 1
Let f be (-12)/7*(-1533)/1752. Factor 2 - 1/2*k**2 + f*k.
-(k - 4)*(k + 1)/2
Let m(h) be the first derivative of 6 - 1/2*h**4 - 3*h**2 - 2*h**3 - 2*h. Let m(o) = 0. Calculate o.
-1
Factor 28*v**2 + 9*v - 7 - 11*v - 20*v**3 + 6*v - 5.
-4*(v - 1)**2*(5*v + 3)
Factor 3*t**4 - 34*t + 50*t + 6*t**2 + 15 - 7 - 4*t**3 - 5*t**4.
-2*(t - 2)*(t + 1)**2*(t + 2)
Let x(c) = -104*c + 626. Let q be x(6). Factor -12/5*i**q + 8/5*i**3 + 8/5*i - 2/5*i**4 - 2/5.
-2*(i - 1)**4/5
Let h(b) = -b**3 - 5*b**2 + 2*b + 10. Let g be h(-5). Suppose 5*y + 16 = 2*w, g = -3*w + 2*y - 0 + 13. Factor 0 - 4/3*p**2 - 2/3*p**w - 2/3*p.
-2*p*(p + 1)**2/3
Let g(s) be the third derivative of s**7/3360 - s**6/160 - 53*s**4/24 + s**2 + s. Let m(r) be the second derivative of g(r). Factor m(i).
3*i*(i - 6)/4
Let d(x) be the second derivative of 0 - 1/48*x**4 - x + 0*x**2 + 1/80*x**5 + 0*x**3. Let d(b) = 0. What is b?
0, 1
Let j = 47 - 45. Factor 1/7*z**j - 4/7 + 0*z.
(z - 2)*(z + 2)/7
Let l(k) = -3*k**3 + 7*k**2 - 15*k + 11. Let m(v) = -13*v**3 + 27*v**2 - 60*v + 46. Let g(h) = 9*l(h) - 2*m(h). Factor g(j).
-(j - 7)*(j - 1)**2
Suppose g + 13*g = 84. Suppose -5*t = 5*m - 35, -7*t = -5*t - 2*m + g. Solve -2*n**3 + 4/3*n + 2/3*n**t + 0 + 2/3*n**5 - 2/3*n**4 = 0 for n.
-1, 0, 1, 2
Factor -40/3*r - 5/3*r**3 + 25/3*r**2 + 20/3.
-5*(r - 2)**2*(r - 1)/3
Let f be 65/15 + 4/(-3) + 2. Let q(m) be the second derivative of -1/9*m**2 - 2/9*m**3 - 2/45*m**f + 0 - 1/6*m**4 + 3*m. Determine w so that q(w) = 0.
-1, -1/4
Let y = 633 + -633. Let c(a) be the third derivative of y - 1/180*a**5 + 1/72*a**4 + 10*a**2 + 1/9*a**3 + 0*a. Let c(n) = 0. What is n?
-1, 2
Solve -5*g**4 + 15*g**3 - 29*g - 44*g**3 - 4*g**3 - 30 - 85*g**2 - 2*g**3 - 56*g = 0 for g.
-3, -2, -1
Solve -1940/7*x**2 - 578/7 - 788/7*x**3 - 1802/7*x - 2/7*x**5 - 74/7*x**4 = 0 for x.
-17, -1
Let l(y) be the second derivative of -y**4/3 + 18*y**2 + 27*y. Let l(h) = 0. What is h?
-3, 3
Let h(x) = -4*x**3 + 3*x**2 + 3*x - 2. Let g(c) = 0*c**2 - c**2 + c**3 - 2*c**3 + 2*c**3. Suppose 2*p - 24 = -20. Let r(t) = p*h(t) + 6*g(t). Factor r(m).
-2*(m - 1)**2*(m + 2)
Let t = -8 + 8. Suppose -155 = -5*k + 4*n, t = -k + 3*k - n - 59. Factor -k*v**2 - 3*v**4 + 8*v**3 - 3 - 2*v - 3 + 7*v**3 + 23*v.
-3*(v - 2)*(v - 1)**3
Factor 12/5*t**2 - 4 + 6/5*t + 2/5*t**3.
2*(t - 1)*(t + 2)*(t + 5)/5
Let u(i) be the first derivative of -i**4 - 32*i**3/3 + 96*i**2 + 205. Determine h, given that u(h) = 0.
-12, 0, 4
Let b(g) = g - 2. Let j be b(7). Let c be (-10 + 2)/(j + -7). Let 6 + 16*q - 1 - 21 - c*q**2 = 0. Calculate q.
2
Let j(h) = h**4 - 2*h**3 + 3*h**2 - 2*h + 2. Let g(z) = 2*z**4 - z**3 + 2*z**2 - 3*z + 3. Let t(w) = -2*g(w) + 3*j(w). Suppose t(y) = 0. What is y?
-5, 0, 1
Determine t, given that 44/7 + 92/7*t + 8/7*t**2 = 0.
-11, -1/2
Let l(s) = -43*s - 1201. Let x be l(-28). Let 2/3*u**x - 2/3*u + 4/3 - 4/3*u**2 = 0. What is u?
-1, 1, 2
Let f(j) = j**2 + 5*j. Suppose 2*v + 4 = 4*v. Let d be 2/((-4)/3 - -2). Let r(b) = -2*b**2 - 6*b - 1. Let q(a) = d*f(a) + v*r(a). Factor q(w).
-(w - 2)*(w - 1)
Let a(v) = -252*v**4 - 756*v**3 - 544*v**2 + 70. Let o(g) = -2*g**3 - 1. Let s(w) = a(w) + 6*o(w). Solve s(t) = 0 for t.
-2, -2/3, 2/7
Let z be 7*-4 - ((1 - 3) + -2). Let l be 8/z + 17*(-1)/(-15). Factor 14/5*d**4 + 38/5*d**3 + 6*d**2 + 2/5*d - l.
2*(d + 1)**3*(7*d - 2)/5
Suppose 22 = 3*b + 7. Solve -42*z**5 - 16*z**4 + 8*z**2 + 2*z**4 + 48*z**b = 0 for z.
-2/3, 0, 1, 2
Factor -392/17 - 2/17*x**3 - 448/17*x - 58/17*x**2.
-2*(x + 1)*(x + 14)**2/17
Let z(u) = 16*u**5 - 37*u**4 - u**3 + 48*u**2 + 4*u. Let p(d) = 18*d**5 - 38*d**4 + 48*d**2 + 4*d. Let q(x) = -2*p(x) + 3*z(x). Suppose q(i) = 0. Calculate i.
-1, -1/12, 0, 2
Let i(u) be the second derivative of -u**5/25 - 7*u**4/3 - 646*u**3/15 - 578*u**2/5 - 103*u. Factor i(c).
-4*(c + 1)*(c + 17)**2/5
Let -2370*z**3 - 29585/3*z**2 + 4740*z - 135*z**4 - 540 = 0. Calculate z.
-9, 2/9
Suppose -4*j - 2*r = -4, -2*r = -2*j - j + 10. Let q(p) = p**3 - p**2 - p + 2. Let d be q(0). Factor -5*u**j - d - 2*u + 7*u**3 + 2.
u*(u - 1)*(7*u + 2)
Let i(u) be the second derivative of 1/70*u**7 + 0*u**4 - 1/5*u**2 + 1/10*u**5 - 1/6*u**3 + 28*u + 0 + 1/15*u**6. Determine x so that i(x) = 0.
-1, 2/3
Let z(a) be the first derivative of 2*a**5/45 + a**4/3 + 8*a**3/9 + 8*a**2/9 + 28. Let z(r) = 0. Calculate r.
-2, 0
Let n(y) be the third derivative of -y**6/280 - 2*y**5/35 - 11*y**4/56 + 10*y**3/7 + 366*y**2. Factor n(l).
-3*(l - 1)*(l + 4)*(l + 5)/7
Let b = -9 + 9. Suppose -4*j + 16 = 0, -5*j + 20 = 5*y - b*j. Factor 2/5*k**4 - 2/5*k + y - 2/5*k**2 + 2/5*k**3.
2*k*(k - 1)*(k + 1)**2/5
Let j(q) = 44*q**3 + 589*q**2 + 95*q. Let s(l) = 22*l**3 + 294*l**2 + 48*l. Let t(x) = 4*j(x) - 9*s(x). Let t(d) = 0. Calculate d.
-13, -2/11, 0
Let l(u) = -8*u - 11. Let b be l(-2). Factor 0*w**4 + 4*w**b + 4*w**4 + 0*w**5.
4*w**4*(w + 1)
Let p(g) be the first derivative of -3*g**6/10 - 3*g**5/5 - g**4/4 + 14*g - 22. Let y(i) be the first derivative of p(i). Suppose y(t) = 0. What is t?
-1, -1/3, 0
Let w(z) be the third derivative of z**8/2016 - z**7/252 - z**6/120 + 4*z**5/45 + 2*z**4/9 + 172*z**2. Determine u so that w(u) = 0.
-2, -1, 0, 4
Let o be 0 + 3/18 + 0. Let z = -233 - -467/2. Factor -o*f**2 - 1/3*f + z.
-(f - 1)*(f + 3)/6
Suppose 0 = -2*v - 2*v - 16. Let j be v/(-10) - (-216)/60. Factor f**4 + 0*f**j + 0 - f**2 + 0.
f**2*(f - 1)*(f + 1)
Let x(u) = -100*u**3 - 1055*u**2 + 2185*u - 1255. Let m(t) = -9*t**3 - 96*t**2 + 199*t - 114. Let r(s) = 45*m(s) - 4*x(s). Factor r(b).
-5*(b - 1)**2*(b + 22)
Let b(z) be the third derivative of z**7/840 - z**6/360 - z**5/20 + 5*z**3 + 25*z**2. Let n(q) be the first derivative of b(q). Factor n(p).
p*(p - 3)*(p + 2)
Let j be 3/18 - 13/78. Let b(q) be the first derivative of -1/2*q**4 + 0*q**2 - 4/3*q**3 + j*q + 1. Factor b(d).
-2*d**2*(d + 2)
Let p(k) be the first derivative of -k**4/7 - 116*k**3/21 - 156*k**2/7 + 1111. Factor p(s).
-4*s*(s + 3)*(s + 26)/7
Let k(o) be the second derivative of -o**5/390 - o**4/78 + o**3/13 - 29*o**2/2 + 7*o - 5. Let m(j) be the first derivative of k(j). Let m(v) = 0. Calculate v.
-3, 1
Let i = 28 - 26. Let h = -3 + 5. Factor 0*l + 2 + h*l + 0 + 2*l**2 + i*l.
2*(l + 1)**2
Let t = 5149/8515 - -7/655. Solve -14/13*b + 4/13 + 4/13*b**4 - t*b**2 + 28/13*b**3 - 14/13*b**5 = 0 for b.
-1, 2/7, 1
Let o(u) be the first derivative of -3*u**2 + 65*u + 14. Let w be o(10). Find x such that -8/