9. Let f be 2/((-4)/h)*-3. Suppose 36/5*m**f - 243/5 - 162/5*m**2 - 3/5*m**4 + 324/5*m = 0. Calculate m.
3
Let h(l) be the third derivative of l**10/30240 - l**8/3360 + l**6/720 + 5*l**4/24 - 17*l**2. Let s(i) be the second derivative of h(i). What is o in s(o) = 0?
-1, 0, 1
Determine q, given that -32/3*q - 2*q**2 - 8 + 2/3*q**3 = 0.
-2, -1, 6
Let y(g) = g**4 + g**3 + 3*g - 1. Let r(o) = 4*o**4 + 14*o**3 + 42*o**2 + 77*o + 37. Let i(v) = r(v) - 3*y(v). What is f in i(f) = 0?
-5, -2
Let r(u) be the third derivative of 0*u + 0 + 7/72*u**4 + 1/630*u**7 - 8*u**2 + 1/9*u**3 + 1/72*u**6 + 1/20*u**5. What is i in r(i) = 0?
-2, -1
Let f(s) be the first derivative of s**4/24 + s**3/9 - s**2/12 - s/3 + 1055. What is v in f(v) = 0?
-2, -1, 1
Let s = 69 + -67. Suppose -8*p + s = -14. Factor 1/5*g - 2/5*g**p - 1/5*g**3 + 2/5.
-(g - 1)*(g + 1)*(g + 2)/5
Let k(f) be the second derivative of -7*f**6/20 + 3*f**5/20 + 7*f**4/2 - 2*f**3 - 121*f + 2. Let k(a) = 0. Calculate a.
-2, 0, 2/7, 2
Determine w so that -4*w**4 + 34*w**3 - w + 0*w + 9*w**4 + 91*w**2 + 31*w + 8*w**3 = 0.
-5, -3, -2/5, 0
Let p(b) be the third derivative of -b**6/30 - 14*b**5/15 - 55*b**4/6 - 28*b**3 - 258*b**2. Find o such that p(o) = 0.
-7, -6, -1
Let c(t) be the second derivative of -4/3*t**4 - 22/9*t**3 - t - 10 + 4*t**2 + 1/3*t**5. Suppose c(h) = 0. What is h?
-1, 2/5, 3
Find x such that -10*x + 21*x**2 - 40*x**2 + 18*x**2 = 0.
-10, 0
Let j(l) be the third derivative of -2*l**7/105 - 7*l**6/10 + 23*l**5/5 - 71*l**4/6 + 16*l**3 + 380*l**2 - l. Determine c so that j(c) = 0.
-24, 1
Let h = 12 - 8. Let l = -19748/17 + 1162. Find m such that -l*m**2 + 8/17 - 2/17*m**h - 16/17*m + 22/17*m**3 - 6/17*m**5 = 0.
-2, -1, 2/3, 1
Let z = 279395/43456 + -5/6208. Factor 12/7 + z*f**2 - 96/7*f.
3*(f - 2)*(15*f - 2)/7
Let s(p) be the first derivative of -52*p**3/3 - 56*p**2 - 16*p + 72. Factor s(q).
-4*(q + 2)*(13*q + 2)
Let o = 6100 - 6097. Factor 4/3*a**2 + 1/3*a - 4/3 - 1/3*a**o.
-(a - 4)*(a - 1)*(a + 1)/3
Let h = -5108/7 - -730. Factor 2/7*y**3 + 0 - 2/7*y**5 + 0*y - h*y**2 + 2/7*y**4.
-2*y**2*(y - 1)**2*(y + 1)/7
Let f(i) be the third derivative of -i**8/30240 - i**7/3780 + i**6/360 - 7*i**5/60 + 25*i**2. Let p(y) be the third derivative of f(y). Factor p(q).
-2*(q - 1)*(q + 3)/3
Let a(w) be the third derivative of w**5/60 - 3*w**4/8 - 11*w**3/3 + w**2. Factor a(p).
(p - 11)*(p + 2)
Factor -20*l + l**2 - 19 - 17 + 36 + 0*l**2.
l*(l - 20)
Let q(n) be the first derivative of 4*n**5/5 + 10*n**4 + 32*n**3 + 44*n**2 + 28*n + 59. Find r, given that q(r) = 0.
-7, -1
Let v(q) = -q**2 + 4*q**2 - 2*q**2 + 3*q - 4*q. Let b(g) = -37*g**2 + 47*g - 10. Let h(s) = b(s) + 2*v(s). Factor h(d).
-5*(d - 1)*(7*d - 2)
Let u(q) = q**3 + 3*q**2 - 7*q - 10. Let a be u(-4). Determine i so that 6*i**2 - 18*i**3 + 2*i**3 + 0 + 16*i - a*i**2 - 4 = 0.
-1, 1/4, 1
What is u in 2/9*u**4 + 110/9*u**2 + 50/3*u + 26/9*u**3 + 0 = 0?
-5, -3, 0
Let k = 17742 + -53225/3. Find v, given that -16/3 - k*v**2 - 8/3*v = 0.
-4
Let r be (-1)/((-63)/(-111)*-2). Let m = r + -5/7. Factor -1/3*q**2 - m*q**3 + 0 - 1/6*q.
-q*(q + 1)**2/6
Let 1/2*f**3 - 2*f + 1/2*f**5 + 5*f**2 - 2*f**4 - 4 = 0. What is f?
-1, 2
Let r(i) be the first derivative of 3*i**5/5 + 219*i**4/4 - 684. Let r(n) = 0. What is n?
-73, 0
Let b be (0 - 36)*8/(-48)*2. Let m(i) be the first derivative of -1/15*i**5 - 4/3*i + 1/6*i**4 + b + 1/3*i**3 - 2/3*i**2. Suppose m(u) = 0. What is u?
-1, 2
Suppose 14*k = -159*k. Find c, given that 0*c**2 + 0 + 0*c**4 + k*c + 1/5*c**5 - 1/5*c**3 = 0.
-1, 0, 1
Let m(a) be the first derivative of a**4/3 + 2*a**3 + 19*a + 15. Let c(z) be the first derivative of m(z). Factor c(o).
4*o*(o + 3)
Factor 4096/3*s**2 + 0 + 4/3*s**4 + 0*s - 256/3*s**3.
4*s**2*(s - 32)**2/3
Let f be (-3857)/364 + 11 + 6/(-39). Factor -f*o**3 - 1 + 0*o + 3/4*o**2.
-(o - 2)**2*(o + 1)/4
Let g be -1 - ((-1 + -1)*-2 + -7). Let h(v) be the second derivative of -1/20*v**4 + 0 - 1/10*v**3 + 0*v**g - 2*v. Factor h(s).
-3*s*(s + 1)/5
Let h(g) be the first derivative of 5/2*g**2 - 4/3*g**3 + 15 - 2*g + 1/4*g**4. Factor h(d).
(d - 2)*(d - 1)**2
Let h(d) be the third derivative of d**6/280 + 29*d**5/140 + 10*d**4/7 + 26*d**3/7 + 82*d**2 + 1. Find q such that h(q) = 0.
-26, -2, -1
Let d(o) be the third derivative of o**6/160 + o**5/48 - o**4/48 + 5*o**2 - 14*o. Solve d(u) = 0 for u.
-2, 0, 1/3
Let z(i) be the third derivative of i**6/120 - i**5/30 - 35*i**4/24 + 499*i**2. Factor z(a).
a*(a - 7)*(a + 5)
Let k(p) be the second derivative of 0 + 1/120*p**4 + 1/5*p**2 + 15*p - 1/15*p**3. Find o such that k(o) = 0.
2
Let j(y) = y**2 - 4*y - 1. Let u(g) = -6*g**2 + 20*g + 22. Let s(d) = -14*j(d) - 2*u(d). Let s(w) = 0. What is w?
3, 5
Let l = 1726/11 + -8542/55. Find i such that -14/15*i**3 - 22/5*i**2 - 64/15*i + l = 0.
-3, -2, 2/7
Factor -478*g**2 + 291*g + 226*g**2 + 141*g - 3*g**4 + 48*g**3.
-3*g*(g - 6)**2*(g - 4)
Suppose -10 = -5*r - j, 2*r + 6 = -r - 3*j. Solve 66*h**2 + 2*h**r + h - 60*h**2 + 3*h = 0 for h.
-2, -1, 0
Factor 42*j + 9*j**2 - 3*j**2 - 6*j**3 + 2*j**4 - 44*j.
2*j*(j - 1)**3
Factor 0 + 14/5*a**5 + 0*a + 16/5*a**3 + 0*a**2 - 12*a**4.
2*a**3*(a - 4)*(7*a - 2)/5
Let m(h) be the third derivative of -h**9/423360 - h**8/47040 - h**5/30 - 11*h**2. Let t(c) be the third derivative of m(c). Let t(o) = 0. Calculate o.
-3, 0
Let n(i) be the third derivative of i**6/120 - i**5/12 - i**4/24 + 5*i**3/6 + 29*i**2 - 4. Factor n(p).
(p - 5)*(p - 1)*(p + 1)
Let g be (-30)/144 + (-2)/(-8). Let f(c) be the third derivative of 0*c**3 + 0*c + g*c**4 + 2*c**2 + 0 - 1/120*c**6 + 0*c**5. Factor f(a).
-a*(a - 1)*(a + 1)
Let r(c) = 2*c**2 - 329*c - 317. Let d(p) = -p**2 + 109*p + 106. Let t(i) = 7*d(i) + 2*r(i). Factor t(n).
-3*(n - 36)*(n + 1)
Suppose 51*w**2 - 4 - 9 + 71*w**2 - w**3 - 105*w**2 - 63*w - 68 = 0. What is w?
-1, 9
Let n(h) be the second derivative of h**7/168 + h**6/40 - 3*h**5/80 - 11*h**4/48 - h**3/4 - 273*h. Factor n(q).
q*(q - 2)*(q + 1)**2*(q + 3)/4
Let z(p) be the first derivative of -4/15*p**3 + 1/20*p**4 + 2/5*p**2 + 0*p - 9. Factor z(d).
d*(d - 2)**2/5
Let p be -5 - ((8 - 15) + 2). Let v(a) be the second derivative of 0*a**2 + p*a**3 + 1/45*a**5 + 0 - 6*a - 1/54*a**4 - 1/135*a**6. Factor v(k).
-2*k**2*(k - 1)**2/9
Let t(c) = -35*c**2 - 13*c - 16. Let v(x) = -11*x**2 - 4*x - 5. Let f(b) = 6*t(b) - 19*v(b). Factor f(m).
-(m + 1)**2
Suppose 3*x + 2*g + 72 = 0, -2*x - 2*x - 3*g = 97. Let s be (6/(-15))/(2 + x/10). Find y, given that 2/3*y**4 + 0*y**3 + 2/3 + 0*y - 4/3*y**s = 0.
-1, 1
What is b in 9*b**4 - 33*b**2 - 39 - 186*b**3 - 35*b**2 + 106*b + 18 = 0?
-1, 1/3, 21
What is v in 25*v + 57 - 9 + 11*v**3 - 9 + v**4 - 11 + 27*v**2 - 20 = 0?
-8, -1
Let d(w) be the first derivative of -5*w**4/36 - 5*w**3/6 - 5*w**2/3 + 13*w - 9. Let c(a) be the first derivative of d(a). Solve c(l) = 0 for l.
-2, -1
Factor 245*x + 240*x**2 - 8 + 6 + 62 + 55*x**3.
5*(x + 1)*(x + 3)*(11*x + 4)
Let k(n) be the third derivative of -n**6/24 - 2*n**5 - 275*n**4/8 - 605*n**3/3 - 21*n**2 - n. Factor k(z).
-5*(z + 2)*(z + 11)**2
Let f(c) be the second derivative of c**6/105 - 6*c**5/35 - c**4/42 + 4*c**3/7 - 2*c + 185. Solve f(q) = 0.
-1, 0, 1, 12
Let q(h) = 2*h**2 - 41*h + 111. Let d(a) = -a**2 + 21*a - 56. Let u(l) = -7*d(l) - 4*q(l). Factor u(y).
-(y - 13)*(y - 4)
Suppose -176*o - 336 = -232*o. Suppose 12*z - 2*z**3 - 14/9*z**4 - 2/9*z**5 + 0 + o*z**2 = 0. Calculate z.
-3, 0, 2
Factor -31328/13*c + 16194/13*c**2 + 15488/13 + 2/13*c**4 - 356/13*c**3.
2*(c - 88)**2*(c - 1)**2/13
Let h = 429 + -427. Let w(k) be the second derivative of -1/60*k**6 - 2*k + 0 - 1/12*k**4 + 3/40*k**5 + 0*k**3 + 0*k**h. Factor w(d).
-d**2*(d - 2)*(d - 1)/2
Factor -106*f**4 - 576*f**2 + 3*f**5 + 48*f**4 - 7*f**5 - 70*f**4 + 20736*f - 1168*f**3 - 27648.
-4*(f - 2)**2*(f + 12)**3
Suppose 76*b = 477 - 325. Let 2/5*i - b*i**2 + 6/5*i**3 + 2/5 = 0. Calculate i.
-1/3, 1
Factor 64/9*q**2 - 2/3*q**3 - 166/9*q + 28/3.
-2*(q - 7)*(q - 3)*(3*q - 2)/9
Determine l so that -24*l**4 - 4*l**5 + 201*l - 44*l**3 - 32*l**2 + 8*l**2 - 201*l = 0.
-3, -2, -1, 0
Let f = -46 - -99. Let y(a) = f*a + 5*a**2 + 2*a**2 - 45*a + 12. Let w(b) = b**2 - b. Let k(n) = 4*w(n) - y(n). Factor k(i).
-3*(i + 2)**2
Let u(i) be the third derivative of 1/36*i**4 - 1/120*