nd derivative of z**7/84 - 11*z**6/20 - 69*z**5/40 - 35*z**4/24 - 166*z + 4. Find l such that o(l) = 0.
-1, 0, 35
Let g(w) be the second derivative of 0*w**3 + 1/30*w**4 - 1/225*w**6 + 1/75*w**5 + 0*w**2 + 13 + w. Let g(s) = 0. What is s?
-1, 0, 3
Let p(c) = -c**3 + c**2. Let f be p(0). Suppose 4*h = 2*i - 20, 4*i = -f*i - 3*h + 51. Suppose 30*t + i - 5*t**2 - 17 - 40 = 0. Calculate t.
3
Factor h**4 + 86*h**2 - 32*h**2 + 2*h**4 + 48*h + 7 + 24*h**3 + 8.
3*(h + 1)**3*(h + 5)
Suppose -70 - 998568*a**3 - 115*a**2 - 165*a + 6*a**4 - a**4 + 998553*a**3 = 0. Calculate a.
-2, -1, 7
Let o(n) be the third derivative of n**9/12096 + n**8/672 + 5*n**7/1008 - 2*n**5/15 + n**3/2 - 11*n**2. Let m(d) be the third derivative of o(d). Factor m(b).
5*b*(b + 1)*(b + 5)
Let y(k) = -225*k**2 + 1351*k. Let q be y(6). Let g(o) be the third derivative of -1/30*o**q + 2/3*o**3 + 0*o + 0 - 1/15*o**5 - 12*o**2 + 1/6*o**4. Factor g(m).
-4*(m - 1)*(m + 1)**2
Factor -81*a - 72*a**4 + 224*a**2 + 147*a**4 - 84*a**3 - 71*a**4 - 63*a.
4*a*(a - 18)*(a - 2)*(a - 1)
Let k = 2/1529361 - -48939538/10705527. Find j, given that -10/7*j**3 + 0*j + k*j**4 + 0*j**2 - 6/7*j**5 + 0 = 0.
0, 1/3, 5
Let i(q) be the third derivative of -7*q**5/120 - 30*q**4 + 103*q**3/3 + 185*q**2. Factor i(u).
-(u + 206)*(7*u - 2)/2
Solve -15/4*j**2 + 117/2 - 579/4*j = 0.
-39, 2/5
Let x be (27/6)/(33/30 - 1). Let v be 135/x*2/9. Solve 6 + v*g**2 - 4*g = 0 for g.
3
Let a(g) = -g**3 + 3*g**2 - g + 8. Let f(p) = -6*p**3 - 18*p**2 - 223*p - 120. Let i(d) = -21*a(d) + 3*f(d). Let i(o) = 0. What is o?
-4, -1, 44
Suppose -6*c - 6*c = -36*c - 17*c + 164. Factor 2/3*j + 8/3*j**2 + 2/3*j**3 - c.
2*(j - 1)*(j + 2)*(j + 3)/3
Let x(i) be the second derivative of 5 + 1/130*i**5 - 4/13*i**3 + 1/78*i**4 + 0*i**2 + 4*i. Factor x(g).
2*g*(g - 3)*(g + 4)/13
Suppose 291/5 + 94/5*x - 1/5*x**2 = 0. Calculate x.
-3, 97
Let v be (-8 - (-1680)/212)*(-5406)/204. Factor 29/5 - 28/5*o - 1/5*o**v.
-(o - 1)*(o + 29)/5
Let f be ((-129)/(-387))/((-3)/18 + 1). Let m(n) be the second derivative of 21*n + 0 + 1/30*n**4 + n**2 + f*n**3. Let m(y) = 0. Calculate y.
-5, -1
Let -3/2*h**2 - 3450 + 6903/2*h = 0. Calculate h.
1, 2300
Let y(m) be the third derivative of -m**8/1344 + m**7/210 - m**6/160 + 4*m**2 - 63*m. Suppose y(d) = 0. Calculate d.
0, 1, 3
Let w = -29 + 1. Let j be (3 + w/6)*(-12)/10. Solve 48*l**4 + 9*l**4 + 24*l**4 - 8 + 68*l - 122*l**j - 117*l**3 = 0 for l.
-1, 2/9, 2
Let y(d) be the second derivative of d**5/5 - 509*d**4 + 518162*d**3 - 263744458*d**2 + 188*d. Suppose y(m) = 0. Calculate m.
509
Let d(n) be the first derivative of -5*n**6/3 + 334*n**5/5 + 109*n**4/2 - 470*n**3/3 - 104*n**2 + 136*n - 788. Let d(u) = 0. What is u?
-1, 2/5, 1, 34
Factor 2/3*d**3 + 1/3*d**2 - 2/3*d - 1/3*d**4 + 0.
-d*(d - 2)*(d - 1)*(d + 1)/3
Let s(y) be the first derivative of y**6/3 + 86*y**5/5 + 39*y**4/2 - 262*y**3/3 - 212*y**2 - 168*y - 320. Find h, given that s(h) = 0.
-42, -1, 2
Let l(c) = -c**3 - 3*c**2 - 1. Let v be l(-4). Let f be (3 - 28/12)*v. Factor 0*u**5 + 5*u + 3*u**5 - f*u**3 + 2*u**5.
5*u*(u - 1)**2*(u + 1)**2
Let w = 4 - 2. Let a be w/4*(-53 + 57). Let 0 - 2/13*g**4 - 4/13*g + 0*g**3 + 6/13*g**a = 0. What is g?
-2, 0, 1
Suppose -72*a - 7*a - 35454 = -35928. Let a*p + 1/5*p**2 - 31/5 = 0. Calculate p.
-31, 1
Let z(r) be the second derivative of r**4/48 - 7*r**3/48 - r**2/4 + 167*r. Find v, given that z(v) = 0.
-1/2, 4
Let o(x) be the second derivative of -x**6/15 - 2*x**5 - 9*x**4 + 324*x**3 + 5103*x**2 + 453*x - 16. Let o(y) = 0. Calculate y.
-9, 7
Factor -69/8*o**2 + 1/8*o**3 - 1485/8*o - 7047/8.
(o - 87)*(o + 9)**2/8
Let y(c) = c**4 + c**3 + 2. Let l(x) = 299*x**2 + 929*x**4 + 9*x**2 - 920*x**4 + 85*x**3 + 10 - 968*x. Let g(i) = l(i) - 5*y(i). Factor g(m).
4*m*(m - 2)*(m + 11)**2
Let m(n) be the first derivative of 13*n**5/15 + 73*n**4/24 + 37*n**3/18 - 5*n**2/6 - 1917. Solve m(y) = 0 for y.
-2, -1, 0, 5/26
Find b such that 17176*b**2 + 1310*b - 17181*b**2 + 2 + 3973 = 0.
-3, 265
Let f(v) be the third derivative of 0*v - 1/33*v**4 - 1/165*v**6 + 1/1155*v**7 + 1/33*v**3 + 1/55*v**5 - 72*v**2 + 0. Determine z, given that f(z) = 0.
1
Let q be ((-12)/(-3))/(-2) - 77/(-11). Let t(m) = m**2 + 4*m - 45. Let b be t(q). Factor b*n + 1/5 - 2/5*n**2 + 1/5*n**4 + 0*n**3.
(n - 1)**2*(n + 1)**2/5
Let i = 512331/10 + -256158/5. Factor -i - 1/4*d**2 - 7/4*d.
-(d + 1)*(d + 6)/4
Let -912*s + 210*s + 0*s**2 + s**2 - 2928*s + 1098075 + 2*s**2 = 0. What is s?
605
Let b(t) be the third derivative of t**8/63 + 22*t**7/105 - 2*t**6/45 - 523*t**5/45 - 155*t**4/3 - 400*t**3/9 + 534*t**2 - 2*t - 2. Solve b(u) = 0.
-5, -2, -1/4, 4
Factor -2408/3*l + 2/3*l**2 + 0.
2*l*(l - 1204)/3
Factor 178*s**3 - 2*s**4 - 4*s**2 - 11605 + 11249 - 530*s + 10*s**2.
-2*(s - 89)*(s - 2)*(s + 1)**2
Let h be 186/(-651) - (-4)/14. Let r(c) be the second derivative of -37*c + 0 - c**3 + 27/40*c**5 - 1/8*c**6 + h*c**2 - 3/4*c**4. Factor r(n).
-3*n*(n - 2)**2*(5*n + 2)/4
Let n = -3486358/5 + 697274. Suppose -2/5*o**2 - n - 14/5*o = 0. Calculate o.
-6, -1
Suppose 5*t - 1 - 114 = 0. Suppose -20*k = -t*k + 12. Factor 36 - 14*y + k*y**2 + 7*y - 15*y - 2*y.
4*(y - 3)**2
Factor 0 - 26/5*z - 2/15*z**2.
-2*z*(z + 39)/15
Suppose -547*u**2 - 911*u**2 - 60*u**4 + 2349*u + 432*u**3 - 321824 + 320366 + 3*u**5 = 0. What is u?
2, 3, 9
Suppose 7*j - 5 = 9. Solve h + 2*h**3 - 14*h**2 + 19*h - 9*h**j + h**2 = 0.
0, 1, 10
Suppose -154*a + 353*a - 64*a = 0. Let u(y) be the first derivative of -5/11*y**2 + 1/11*y**3 + a*y + 1/44*y**4 - 37. Find z, given that u(z) = 0.
-5, 0, 2
Let i be ((-46)/(-138))/(10/12)*(-4 - 203/(-42)). Factor -1/3*w**3 + 2/3*w**2 - 2/3 + i*w.
-(w - 2)*(w - 1)*(w + 1)/3
Let b(k) be the first derivative of k**7/42 + 3*k**6/8 + 2*k**5 + 25*k**4/6 - 151*k**2 - 267. Let s(v) be the second derivative of b(v). Factor s(z).
5*z*(z + 2)**2*(z + 5)
Let a(o) be the first derivative of -7 - 1/780*o**6 + 0*o - 3/13*o**3 + o**2 - 5/52*o**4 - 7/390*o**5. Let h(n) be the second derivative of a(n). Factor h(x).
-2*(x + 1)*(x + 3)**2/13
Suppose 0 = 38*u + 32761 - 32837. Suppose -24/11 - u*w + 2/11*w**2 = 0. Calculate w.
-1, 12
Let u = 156761/100 - 6269/4. Let x(z) be the second derivative of 7/50*z**6 - u*z**5 - 40*z + 0*z**3 + 0*z**2 - 1/5*z**4 + 0. Solve x(t) = 0.
-2/7, 0, 2
Let z(o) be the second derivative of 27*o**5/80 + 9875*o**4/16 - 961*o**3 - 1647*o**2/2 - 11414*o. Let z(g) = 0. What is g?
-1098, -2/9, 1
Let h(g) be the first derivative of -80 - 16/9*g**3 + 1/12*g**4 - 6*g - 35/6*g**2. Find p such that h(p) = 0.
-1, 18
Let r(i) be the first derivative of 2/3*i**6 + 0*i + 36/5*i**5 + 0*i**4 - 88 + 0*i**2 + 0*i**3. Factor r(f).
4*f**4*(f + 9)
Let p(s) = -s**5 + 4*s**4 - s**3 - 2*s**2 + 2. Let u(h) = 0*h**5 + 9*h**3 + h**5 - h**4 - 9*h**3 - 1. Let c(b) = p(b) + 2*u(b). Let c(j) = 0. What is j?
-2, -1, 0, 1
Factor -40*w**2 + 2/9*w**4 + 0 + 4/3*w**3 - 2800/9*w.
2*w*(w - 14)*(w + 10)**2/9
Let n(r) be the first derivative of -2/5*r**2 - 6*r + 2/15*r**3 + 30. Factor n(t).
2*(t - 5)*(t + 3)/5
Let x(h) be the first derivative of -4/3*h**4 - 16/3*h - 44/9*h**3 + 43 + 4/5*h**5 + 32/3*h**2. Solve x(z) = 0 for z.
-2, 1/3, 1, 2
Let d(o) be the first derivative of o**4 + 484*o**3/3 - 2*o**2 - 484*o - 4063. Find f such that d(f) = 0.
-121, -1, 1
Let l(o) be the second derivative of o**6/20 - 15*o**5/8 + 17*o**4/2 - 11*o**3 + 10*o + 147. Factor l(x).
3*x*(x - 22)*(x - 2)*(x - 1)/2
Suppose -4*o + 33 = 5*a, 4*a - 23 = -4*o + a. Factor -41*l**2 + 2 - 1 - 2 + 42*l**o.
(l - 1)*(l + 1)
Let f be ((-6)/12)/((-3410)/100 + 34). Determine c, given that -5/3*c + 0 + 0*c**4 + 0*c**2 + 10/3*c**3 - 5/3*c**f = 0.
-1, 0, 1
Let n be 9 + -13 - ((-2 - -4) + -12). Let s be (n/(-10))/((-207)/230). Factor 2/3*d**2 - 4/3 - s*d.
2*(d - 2)*(d + 1)/3
Let v(x) = 103*x + 1239. Let u be v(-12). Let y(h) be the first derivative of 8/5*h**2 + 28 + 2/15*h**u - 1/10*h**4 - 24/5*h. Solve y(w) = 0 for w.
-3, 2
Factor -116 - 83/3*z**2 + 1/3*z**3 - 344/3*z.
(z - 87)*(z + 2)**2/3
Let p be ((-1296)/756)/((-270)/84). Factor -8/15*n + 2/3*n**2 + 2/5*n**3 - p.
2*(n - 1)*(n + 2)*(3*n + 2)/15
Let w = -27 + 31. Suppose 0*c = -w*c + 20, -2*m - 5*c + 29 = 0. Factor 2*z + 4 + 3*z + 3 + 3 - 5*z**m.
-5*(z - 2)*(z + 1)
Suppose 40*f + 206581 - 206661 = 0