303*n**3 + 190*n**2 + 288*n - 280. Let z(i) = i**4 - 2*i**3 - 3*i. Let y(l) = h(l) - 4*z(l). Determine u so that y(u) = 0.
-1, 1, 2, 14
Let 580/3*u - 12296/3*u**3 + 2500/3*u**5 + 4 + 900*u**4 + 2168*u**2 = 0. What is u?
-3, -1/25, 1
Let n(b) = b**3 + 93*b**2 + 198*b + 94. Let l(m) = -3*m**3 - 373*m**2 - 792*m - 378. Let a(x) = -6*l(x) - 22*n(x). Factor a(d).
-4*(d - 50)*(d + 1)**2
Let f(d) be the second derivative of 2*d**6/15 - 74*d**5/5 + 137*d**4/3 + 1000*d**3/3 + 576*d**2 - d - 1213. Suppose f(a) = 0. Calculate a.
-1, 4, 72
Let i(h) be the third derivative of -7*h**7/40 - 197*h**6/160 - 5*h**5/2 - h**4/8 - 3237*h**2 + 2*h. Factor i(q).
-3*q*(q + 2)**2*(49*q + 1)/4
Factor -29*x**3 + 8*x**3 + 5*x - 243*x**2 + 38*x + 65*x.
-3*x*(x + 12)*(7*x - 3)
Let h = 802 + -1228. Let t = -2980/7 - h. Factor 2/7*p**3 - 8/7 + t*p**2 - 8/7*p.
2*(p - 2)*(p + 1)*(p + 2)/7
Let q(d) be the third derivative of 1/72*d**4 + 0*d**6 + 1/90*d**5 - 207*d**2 - 1/315*d**7 - 1/1008*d**8 + 0*d**3 + 0 + 0*d. Solve q(t) = 0 for t.
-1, 0, 1
Let t(n) be the second derivative of n**5/10 - 49*n**4/2 + 48*n**3 + 292*n**2 - 2014*n. Factor t(a).
2*(a - 146)*(a - 2)*(a + 1)
Let w(a) be the third derivative of -a**5/240 + 73*a**4/12 + 195*a**3/8 - a**2 + a + 109. Factor w(z).
-(z - 585)*(z + 1)/4
Let b(f) = f**2 + 6*f + 12. Let r be b(-3). Factor -96*n**2 + 201*n - 32768 + 2871*n + n**3 + 0*n**r.
(n - 32)**3
Let q(i) = -i**3 + 17*i**2 - 16*i + 22. Let s be q(16). Determine g, given that s - 3*g**2 - 13*g**2 - 2*g**3 + 26*g**2 + 42*g + 8*g**2 = 0.
-1, 11
Factor 29/6*r**2 - 50/3*r - 1/6*r**3 + 0.
-r*(r - 25)*(r - 4)/6
Let h(s) be the first derivative of -1/5*s**4 + 0*s + 1/15*s**3 - 85 - 1/15*s**6 + 0*s**2 + 1/5*s**5. Factor h(p).
-p**2*(p - 1)**2*(2*p - 1)/5
Let t(g) be the third derivative of g**7/315 - g**6/15 + 2*g**5/5 - 8*g**4/9 - 4*g**2 + 214. Factor t(u).
2*u*(u - 8)*(u - 2)**2/3
Let z(n) be the second derivative of -n**4/12 + 175*n**3 - 275625*n**2/2 + 4*n - 198. Factor z(v).
-(v - 525)**2
Factor -45 + 4*n**4 + 24*n - 3 + 56*n - 16*n**3 + 5*n**3 - 12*n**2 - 13*n**3.
4*(n - 6)*(n - 1)**2*(n + 2)
Let q be (-27)/15*1*(-280)/168. Let u(m) be the second derivative of 2/3*m**2 - 10*m + 1/72*m**4 + 0 - 1/6*m**q. Let u(h) = 0. Calculate h.
2, 4
Let k(v) = 81*v**3 + 7734*v**2 + 4599*v - 3075. Let m(l) = -20*l**3 - 1934*l**2 - 1150*l + 769. Let n(r) = 5*k(r) + 21*m(r). Factor n(s).
-3*(s + 1)*(s + 129)*(5*s - 2)
Let k = 25262/4991 - -58/713. Factor 34/7*y - k + 2/7*y**2.
2*(y - 1)*(y + 18)/7
Let s(h) = 3*h**2 + 115*h - 43. Let d be s(-39). Let g be 3 - d/25 - 4/(-10). Factor 1/3*r**3 + 1/6*r**g + 1/6*r**4 + 0 + 0*r.
r**2*(r + 1)**2/6
Let k(n) be the third derivative of -n**5/60 - 7*n**4/24 + 8*n**3 - 94*n**2. Let u be k(-11). Factor -b - 3/2*b**2 + 2 - 1/4*b**u + 5/4*b**3.
-(b - 2)**3*(b + 1)/4
Let x be 28962 + -28974 + (0/1 - -15). Solve 0 + 1/6*a**2 + 0*a - 1/6*a**x = 0.
0, 1
Let b(c) be the third derivative of c**7/630 + c**6/36 - 13*c**5/60 - 161*c**4/18 - 784*c**3/9 - c**2 - 3*c + 1015. Let b(x) = 0. Calculate x.
-7, -4, 8
Suppose -r - r - 4*d = -38, 0 = 4*r + 3*d - 81. Factor 32*a**2 + 24*a + 2837*a**4 - 7*a**3 + r*a**3 - 2835*a**4.
2*a*(a + 2)**2*(a + 3)
Let a be 13*(-108)/6318 - (-40)/18. Factor 2/19*i**a + 28/19*i + 0.
2*i*(i + 14)/19
Let p be (-11944)/(-448) - (3/32)/((-417)/(-1668)). What is z in -p*z + 4232/7 + 2/7*z**2 = 0?
46
Solve -11*o + 35*o + 4*o**2 - 16 + 76 - 22 - 2 = 0 for o.
-3
Suppose -2*w + 15*w - 26 = 0. Determine o so that 10 - 2*o**4 - 2*o**2 - 10 + 2*o**3 + 6*o**w = 0.
-1, 0, 2
Solve 39*l - 68 - 189*l**2 + 463*l**2 - 270*l**2 + 25*l = 0 for l.
-17, 1
Solve -97*n**3 - 5*n**2 + 11*n - 8*n + 37*n + 92*n**3 - 20*n**2 + 60 = 0 for n.
-6, -1, 2
Let l = 1601 - 3799. Let s be ((-20)/(-42))/((-157)/l). Factor -s*a + 2/3*a**2 + 50/3.
2*(a - 5)**2/3
Let w(y) = -18*y**3 - 35*y**2 - 12*y + 7. Let k(d) = d**3 - d + 1. Let x be (-11)/2 + (-245)/(-70). Let m(n) = x*k(n) + w(n). Solve m(g) = 0 for g.
-1, 1/4
Suppose 625*v - 586 = 143*v + 378. Factor -8/19*u**3 - 10/19*u**v - 2/19*u**4 + 0 - 4/19*u.
-2*u*(u + 1)**2*(u + 2)/19
Suppose -357 = 7*a - 217. Let u be (-25)/a - (-40)/224. Factor 0*b**2 + u*b**5 + 0*b + 0 + 2/7*b**3 + 12/7*b**4.
2*b**3*(b + 1)*(5*b + 1)/7
Let g(j) be the first derivative of j**3/9 + 12*j**2 - 490. Factor g(w).
w*(w + 72)/3
Let g(l) be the third derivative of -l**5/210 + 10*l**4/21 + 500*l**3/21 - 3652*l**2. Factor g(u).
-2*(u - 50)*(u + 10)/7
Suppose 26*j + 29*j = 0. Let z be 11096/2628 + (1 - 5) + j. Factor -z*m**2 + 14/9*m + 10/9 - 2/3*m**3.
-2*(m + 1)**2*(3*m - 5)/9
Let u(y) be the first derivative of -y**4/3 + 4*y**3 - 28*y + 31. Let t(v) be the first derivative of u(v). Factor t(j).
-4*j*(j - 6)
Let k(c) be the third derivative of c**5/12 - 2035*c**4/12 + 828245*c**3/6 - c**2 - 28*c. Find d, given that k(d) = 0.
407
Suppose -126 = 172*t - 566*t + 243 + 419. Solve -3*h**3 + 0 + 20/3*h**t + 1/3*h**4 - 4*h = 0.
0, 1, 2, 6
Suppose -30/7*c**2 + 3/7*c**4 - 60/7*c + 72/7 + 15/7*c**3 = 0. Calculate c.
-6, -2, 1, 2
Let z be 161/(-2415) - (122/(-30) - -1). Factor -8/5 + 0*p - 2/5*p**z + 6/5*p**2.
-2*(p - 2)**2*(p + 1)/5
Let p(w) be the third derivative of -w**6/144 + 133*w**5/360 - 49*w**4/36 - 25*w**3/9 - 1158*w**2. Factor p(c).
-(c - 25)*(c - 2)*(5*c + 2)/6
Let z(c) be the first derivative of 3*c**4/16 - 3*c**3/4 - 105*c**2/4 + 2880. Factor z(d).
3*d*(d - 10)*(d + 7)/4
Let p(u) be the first derivative of 4*u**5/35 - 9*u**4 + 240*u**3/7 + 25. Suppose p(y) = 0. What is y?
0, 3, 60
Let s(y) be the second derivative of 97 + 0*y**2 + 3/2*y**5 + 0*y**3 + 1/10*y**6 - 2*y + 0*y**4. Let s(g) = 0. Calculate g.
-10, 0
Let r = 787 - 909. Let w be r/671 - 9/66*-16. Determine h, given that 1/5*h**w - 4/5*h + 3/5 = 0.
1, 3
Let h = -26219 - -367067/14. Let v(w) be the second derivative of 0*w**2 + 0 + 23*w - h*w**4 + 1/35*w**5 + 0*w**3 + 1/105*w**6. Let v(b) = 0. What is b?
-3, 0, 1
Let t = -223972/3 + 74658. Find y, given that -t*y**4 + 2*y**2 + 4/3*y + 0 + 0*y**3 = 0.
-1, 0, 2
Let h = -1259 - -26441/21. Let u(d) be the second derivative of 0*d**6 + 0*d**2 - h*d**7 + 1/5*d**5 + 0*d**4 + 0 - 8*d + 0*d**3. Factor u(t).
-4*t**3*(t - 1)*(t + 1)
Let r be (2 - 63/30)*8460/(-94). Find w, given that -r*w**2 - 3/4*w**4 - 9/4 - 15/2*w - 9/2*w**3 = 0.
-3, -1
Let h(l) = 5*l**2 + 29*l + 8. Suppose 2*q + w + 9 = 0, q + 0 + 1 = 3*w. Let v(r) = 20*r**2 + 115*r + 30. Let t(g) = q*v(g) + 15*h(g). Factor t(o).
-5*o*(o + 5)
Suppose 4*n = -9*n + 468. Let r be -6*-1*-4*(-3)/n. Factor -9*g**r + 9 + 30*g + 27*g + 3*g**3 - 60*g.
3*(g - 3)*(g - 1)*(g + 1)
Let o be 1 + 1 - (5 - 42). Let r = o + -37. Factor -m**3 - 14 + 5*m + 2*m**3 + r + 10 - 4*m**2.
(m - 2)*(m - 1)**2
Let t(r) be the second derivative of r**6/40 + 9*r**5/80 - 3*r**4/16 - 11*r**3/8 - 9*r**2/4 + 16*r + 13. Solve t(a) = 0 for a.
-3, -1, 2
Suppose g = -x - 2*x + 9, 3*x = g + 15. Suppose 3*z = l - 11, 3*l + z - 15 = x*z. Factor 279/5*q + 27/5*q**3 + 168/5*q**l + 54/5.
3*(q + 3)**2*(9*q + 2)/5
Let q(z) = 8*z**2 + 47*z + 49. Let g(i) = 2*i**2 - 5*i - 1. Let c(u) = 3*u**2 - 6*u - 1. Let f(d) = -4*c(d) + 5*g(d). Let b(t) = 5*f(t) + q(t). Factor b(o).
-2*(o - 22)*(o + 1)
Let d(c) = c**2 - 17*c + 44. Let v be d(3). Let x**5 - 4 - 4 - 28*x**3 - 5*x**v + 26*x**3 + 6*x**4 - 17*x**2 - 24*x + x**5 = 0. What is x?
-2, -1, 2
Let d(z) be the second derivative of z**4/8 + 375*z**3/8 + 561*z**2/8 + 583*z - 2. Factor d(y).
3*(y + 187)*(2*y + 1)/4
Suppose 0 = -121*p - 154*p + 550. Let j(l) be the second derivative of -1/2*l**3 + 0*l**p + 1/3*l**4 + 0 + 24*l. Solve j(q) = 0.
0, 3/4
Let t(g) be the third derivative of g**5/30 - 67*g**4/12 - 46*g**3 + 2*g**2 + 308. Factor t(q).
2*(q - 69)*(q + 2)
Suppose -1299*d + 1295*d + 5*l = -3, 4*l = 3*d - 2. Let z(x) be the first derivative of -17/6*x**d - 4/3*x**4 + 22 - 40/9*x**3 - 2/3*x. Factor z(r).
-(r + 2)*(4*r + 1)**2/3
Factor -6*k**2 - 2/3*k**3 + 128/3*k - 56.
-2*(k - 3)*(k - 2)*(k + 14)/3
Solve -6700/7*n - 4/7*n**3 - 5016/7 - 1688/7*n**2 = 0.
-418, -3, -1
Let n(i) be the first derivative of -4/33*i**3 + 5/11*i**2 + 12/11*i - 1/22*i**4 + 59. Factor n(l).
-2*(l - 2)*(l + 1)*(l + 3)/11
Let s be (-36 + 3555/90)*(-6)/(-14). Suppose 0 + 0*w - 3/4*w**4 + 9/4*w**2 - s*w**3 = 0. Calculate w.
-3, 0, 1
Let w(o) 