*5 - 10*f**4/3 + 20*f - 27. Find j, given that z(j) = 0.
-2, 0, 2
Let u(b) = b**3 - 7*b**2 + 7*b - 6. Let k be u(6). Factor -522*o + 530*o - 2*o**2 + k*o**2.
-2*o*(o - 4)
Let a(q) be the second derivative of -q**8/23520 + q**7/1764 - 7*q**4/3 - 51*q. Let f(r) be the third derivative of a(r). Factor f(g).
-2*g**2*(g - 5)/7
Let n(v) be the third derivative of -v**8/1680 + 19*v**7/630 - 2*v**6/15 + 29*v**5/30 - 74*v**2. Let r(f) be the third derivative of n(f). Factor r(h).
-4*(h - 12)*(3*h - 2)
Let c(z) = z**2 - 26*z - 193. Let r be c(-6). Let a be r + (2/(-6))/((-55)/165). Let -2/15*q**4 + 8/15*q**2 + 2/15*q**5 + 0*q - 8/15*q**3 + a = 0. What is q?
-2, 0, 1, 2
Factor 8 + 16*t + 62*t**4 + 17*t**3 - 33*t**4 - 28*t**4 + 78*t**2 - 136 + 16*t.
(t - 1)*(t + 2)*(t + 8)**2
Let w(b) be the second derivative of b**4/42 + 13*b**3/3 + 178*b**2/7 + 2*b - 135. Factor w(g).
2*(g + 2)*(g + 89)/7
Suppose -39*i - 104*i = 120 - 406. Let y(r) be the first derivative of 3/2*r + 3/20*r**5 + 44 - 3/16*r**4 - 3/4*r**3 + 3/8*r**i. Solve y(h) = 0 for h.
-1, 1, 2
Let a = 130088/9 + -14454. Let s(x) be the first derivative of -a*x**3 + 1/15*x**5 + 0*x**2 + 0*x - 13 - 1/12*x**4. Find o, given that s(o) = 0.
-1, 0, 2
Solve -26/3*u**2 + 32/3 - 32*u = 0.
-4, 4/13
Suppose -9*p + 10*p = r, 0 = -5*r - 2*p + 35. Let l(q) be the second derivative of 0*q**2 - 1/170*q**r - 8/51*q**4 + 0 - 21*q - 64/51*q**3. Factor l(i).
-2*i*(i + 8)**2/17
Let h be -3*16/(-156)*((-3455)/(-2) + 13). Factor 472/13*g + 8/13 + h*g**2.
2*(59*g + 2)**2/13
Let t(z) be the second derivative of -6*z**2 + 13 - 2*z + 1/6*z**4 + 5/3*z**3. Determine p, given that t(p) = 0.
-6, 1
Let u = -2878/5 + 2879/5. Factor 5*z**3 + 512/5 + u*z**4 + 216/5*z**2 + 704/5*z.
(z + 1)*(z + 8)**3/5
Let m(o) be the first derivative of -124 - 4*o + 2/15*o**3 - 3/5*o**2. Let m(r) = 0. What is r?
-2, 5
Let f(j) be the third derivative of j**7/210 - 7*j**6/60 + 2*j**5/5 - 1337*j**2. Let f(o) = 0. Calculate o.
0, 2, 12
Let m(q) be the second derivative of -q**6/195 - 331*q**5/130 + 333*q**4/26 - 77*q**3/3 + 334*q**2/13 + 23*q + 197. Solve m(y) = 0.
-334, 1
Let t(a) be the third derivative of a**7/560 + 3*a**6/160 + 3*a**5/40 + a**4/8 - 2*a**2 + 1138*a. Factor t(k).
3*k*(k + 2)**3/8
Let g(s) be the second derivative of s**5/2 + 19*s**4/18 + 11*s**3/27 - s**2/9 + 2819*s. Solve g(a) = 0 for a.
-1, -1/3, 1/15
Solve 228/7*a**2 + 4/7*a**4 + 64/7*a**3 + 8*a - 352/7 = 0.
-11, -4, -2, 1
Let u = 3297/13 + -3293/13. Suppose 5*n - 4*n - 3 = 0. Solve -2/13*t**4 + 0*t**n + u*t**2 - 2/13 + 0*t = 0.
-1, 1
Let t(q) = -q**2 + q. Let y(c) = 16*c**2 - 15*c + 9. Let l(h) = 6*t(h) + y(h). Let z(n) = -9*n**2 + 6*n - 9. Let m(v) = -6*l(v) - 7*z(v). Factor m(r).
3*(r + 1)*(r + 3)
Let j(f) be the first derivative of -19*f**2 - 68*f - 2/3*f**3 + 122. Factor j(q).
-2*(q + 2)*(q + 17)
Suppose -12*u = 30 + 6. Let o(c) = -4*c**2 + 8*c + 4. Let h(k) = k**3 + 4*k**2 - 7*k - 4. Let v(j) = u*o(j) - 4*h(j). Factor v(p).
-4*(p - 1)*(p + 1)**2
Let t(j) = -j**3 + 6*j**2 + 4*j - 25. Let k be t(6). Let i(a) = -2*a**2 + 1. Let y(c) = c**3 - 8*c**2 - c + 6. Let l(r) = k*y(r) + 2*i(r). Factor l(d).
-(d - 4)*(d - 1)*(d + 1)
Suppose -g - 4*g = -2*m + 31, m + g = -2. Suppose -4*o - 2*x = -12 - 20, m*o + 5*x - 10 = 0. Factor 6 + 4*h**2 - o - 3*h**2.
(h - 2)*(h + 2)
Suppose 4*s + 4 = 2*g + 7*s, 4*g - 8 = -s. Solve 2*a**3 + 56*a**2 + 3 - 1 - 60*a**g - 2*a + 2 = 0 for a.
-1, 1, 2
Let o(m) be the third derivative of m**6/600 - 7*m**5/40 - 9*m**4/10 + 25*m**3 - 5*m**2 + 4*m. Let j(l) be the first derivative of o(l). Solve j(a) = 0 for a.
-1, 36
Let r be (-3)/(-9) + (-27)/(114 - 33). Determine p so that 32/3*p**3 - 16/3*p**2 + r + 0*p + 4/3*p**5 - 20/3*p**4 = 0.
0, 1, 2
Determine d, given that 56*d**2 + 14*d**2 + 45*d**2 - 2 - 165*d + 64*d**2 - 12*d = 0.
-2/179, 1
Let q(s) be the first derivative of -20*s**3/3 - 156*s**2/5 - 36*s/5 - 4584. Factor q(f).
-4*(f + 3)*(25*f + 3)/5
Let m be 6/(-15) + (3 - 2). Let f = 17672 - 17672. Find p, given that -3/5*p + 6/5*p**3 + 0*p**2 - m*p**5 + f + 0*p**4 = 0.
-1, 0, 1
Let f(x) = -x + 17. Let s be f(17). Suppose -3*n - 13 + 22 = s. Factor 5*t**4 - t**n + 3*t + t**2 - 6*t**2 - 4*t + 2*t**3.
t*(t - 1)*(t + 1)*(5*t + 1)
Factor 2840*o**4 - 621*o**2 - 23*o**3 + 588*o**2 - o**3 + 54*o - 2837*o**4.
3*o*(o - 9)*(o - 1)*(o + 2)
Let u = -2874 + 4795. Factor -1237 + 205*k + 3*k**2 + 5943 + u - 12*k + 89*k.
3*(k + 47)**2
Let k(z) be the first derivative of z**6/16 - 69*z**5/5 + 1089*z**4/16 - 271*z**3/2 + 2163*z**2/16 - 135*z/2 + 49. Determine h, given that k(h) = 0.
1, 180
Let u(k) = -20*k - 78. Let a be u(-4). Factor 13*i**4 + 904*i - 904*i + 24*i**2 - a*i**5 - 50*i**3 + 15*i**4.
-2*i**2*(i - 12)*(i - 1)**2
Suppose 8*t - 2*t - 90 = 0. Suppose -3*i = 5*j + i - t, 4*j - 12 = 3*i. Factor -5/8*f**j + 1/4 - 7/8*f + 9/8*f**2 + 1/8*f**4.
(f - 2)*(f - 1)**3/8
Let m be (-2934)/976 + (3 - 0). Let u = 967/1464 - m. Solve 0 + 0*a + 2/9*a**5 + 0*a**2 - u*a**4 + 4/9*a**3 = 0.
0, 1, 2
Factor 12*v**3 + 25*v**2 + 18*v**3 - 47*v**3 + 16*v**3 - 47*v + 23.
-(v - 23)*(v - 1)**2
Let p(g) be the third derivative of 0*g**3 + 13/15*g**6 + 2/3*g**7 + 0*g**4 + 0*g + 0 + 4/15*g**5 + 100*g**2 - 7/24*g**8. Suppose p(j) = 0. What is j?
-2/7, 0, 2
Let r(z) = z**2 + 117*z - 116. Let m be r(1). Determine q so that -1/9*q**3 + 0 - 2/9*q - 1/3*q**m = 0.
-2, -1, 0
Let m(y) = -15*y**2 + 711*y. Let c(k) = -7*k**2 + 364*k. Let l(p) = -9*c(p) + 4*m(p). Let l(z) = 0. What is z?
0, 144
Let o(x) be the third derivative of 3/10*x**6 - 7/96*x**4 - 12*x + 6*x**2 + 1/6*x**5 - 1/12*x**3 + 0. Factor o(w).
(4*w + 1)**2*(9*w - 2)/4
Find m such that -2/11*m**5 - 25346/11*m**2 - 2352*m + 258/11*m**4 - 7926/11*m**3 - 792 = 0.
-1, 66
Let w(z) be the second derivative of z**5/12 - 95*z**4/72 - 65*z**3/36 + 25*z**2/2 + 2564*z. Factor w(l).
5*(l - 10)*(l - 1)*(2*l + 3)/6
Let s = 59555/24052 + 1/10308. Let d(k) be the first derivative of 16/35*k**5 + 12/7*k**4 + 12/7*k**2 + s*k**3 + 18 + 4/7*k. Factor d(u).
4*(u + 1)**2*(2*u + 1)**2/7
Let m = 269196 - 807584/3. Suppose 8*g - 20/3 - m*g**2 = 0. Calculate g.
1, 5
Factor -4*m**2 - 5839 + 5839 - 164*m.
-4*m*(m + 41)
Let y(c) be the third derivative of -c**8/112 - 3*c**7/10 - 49*c**6/20 + 71*c**5/10 + 99*c**4/8 - 121*c**3/2 - 30*c**2 + 30*c. Let y(g) = 0. What is g?
-11, -1, 1
Let y(c) be the first derivative of -2*c**6/3 - 52*c**5/5 - 51*c**4 - 140*c**3/3 + 200*c**2 + 3212. Let y(a) = 0. What is a?
-5, -4, 0, 1
Let h(r) be the first derivative of -2*r**5/55 - r**4/11 + 6*r**3/11 + 18*r**2/11 + 1276. Find u such that h(u) = 0.
-3, -2, 0, 3
Let u be (-80)/80 - 1/(1/(-378)). Suppose 375*s = u*s. Solve -1/8*j**2 - 1/4*j + s = 0 for j.
-2, 0
Let h = -350836 + 3157525/9. Factor -4/3*q**2 + 0 + h*q**5 + 1/3*q**4 - 8/9*q - 2/9*q**3.
q*(q - 2)*(q + 1)*(q + 2)**2/9
Let s(i) = i**3 - 138*i**2 + 1622*i + 377. Let j be s(125). Let f(u) be the first derivative of -1/12*u**3 - 1/16*u**4 + 5/8*u**j - 9 - 3/4*u. Factor f(z).
-(z - 1)**2*(z + 3)/4
Let q(v) be the first derivative of -7/5*v**2 + 16/15*v**3 + 1/15*v**6 - 4/25*v**5 + 107 + 4/5*v - 1/5*v**4. Factor q(p).
2*(p - 1)**4*(p + 2)/5
Let d(c) = 8*c**2 - 10*c + 6. Let a(f) = -42*f**2 + 49*f - 29. Let m(t) = -2*a(t) - 11*d(t). Find n, given that m(n) = 0.
1, 2
Let h be (23/(1242/(-72)))/(4/(-3)). Let p be (136 - 136)/(2/h). Factor 2/3*s - s**2 + 1/3*s**3 + p.
s*(s - 2)*(s - 1)/3
Let b be 2*3 + 4433/(-858). Let c(n) be the first derivative of -1/2*n - 3/4*n**4 - 4 + b*n**3 + 1/2*n**2. Solve c(g) = 0.
-1/2, 1/3, 1
Let -45/8*u**3 + 0 + 3*u - 9/8*u**5 - 6*u**4 + 9/4*u**2 = 0. Calculate u.
-4, -1, 0, 2/3
Let w = -19123 - -19123. Solve 0*f + w + 44/13*f**3 - 2/13*f**4 - 242/13*f**2 = 0.
0, 11
Let j(i) be the first derivative of 107 + 3/8*i**4 - 53/4*i**2 + 14/3*i**3 + 11*i. Find f such that j(f) = 0.
-11, 2/3, 1
Suppose 5*v - 19 = 6*d, -8*d = -4*v - 261 + 273. Let -39/7*s**3 + 4/7*s**v - 5/7*s - 11/7*s**4 + 0 - 29/7*s**2 = 0. What is s?
-1, -1/4, 0, 5
Let d(w) = 7*w**2 + 5197*w - 5216. Let a(b) = 47*b**2 + 36382*b - 36511. Let y(h) = 6*a(h) - 41*d(h). What is x in y(x) = 0?
1, 1042
Let r(o) be the third derivative of -o**7/70 - 17*o**6/20 - 11*o**5/5 + 77*o**4 - 384*o**3 - 2744*o**2. Determine k so that r(k) = 0.
-32, -6, 2
Let n(k) = 3*k**3