**4 - 9*l - 12*l**2 + c*l - l**4 = 0?
-1, -1/3, 1, 3
Factor -908 + 75*x + 269*x**2 + 5*x**4 + 908 - 234*x**2 - 35*x**3.
5*x*(x - 5)*(x - 3)*(x + 1)
Let u(g) = g**2 - g**3 - 20 - 4*g**2 - 6*g**2 + 5 - 2*g. Let h be u(-9). Find p, given that 218*p**2 - 230*p**2 + 0*p**3 + 3*p**h = 0.
0, 4
Let a(w) be the first derivative of w**5/50 - 3*w**4/20 + 13*w**3/30 - 3*w**2/5 + 2*w/5 - 1311. Factor a(f).
(f - 2)**2*(f - 1)**2/10
Suppose 7*m + 4*z - 22 = 8*m, -5*m = -5*z + 35. Let s(g) = -2*g**2 - 26*g + 24. Let x(k) = -7*k**2 - 105*k + 94. Let i(c) = m*x(c) + 9*s(c). Factor i(h).
-4*(h - 1)*(h + 7)
Suppose -52*x + 76 = -80. Solve 2/15 - 2/3*h**2 - 2/15*h - 2/5*h**x = 0 for h.
-1, 1/3
Suppose -5*n = 5*o + 10, 0*o = 2*n + o. Suppose -2*a + u - 9 = -6*a, 3*a - 15 = n*u. Factor 8*s - 5*s**2 - s**a + 0*s + 0*s**2 - 7*s + 5.
-(s - 1)*(s + 1)*(s + 5)
Let a be 6 - 2345/(-5) - -2. Factor 18*p**4 + 27*p - 3*p**5 - 24*p**3 - 12 + 467*p**2 + a*p**2 - 950*p**2.
-3*(p - 4)*(p - 1)**3*(p + 1)
Let n be (-90 - -87)*(-3)/(9/2). Let 0*i**3 + 11*i**3 + 3*i**5 - 1563*i**2 - n*i**3 + 1560*i**2 - 9*i**4 = 0. What is i?
0, 1
Let g(w) = 5*w**3 - 2*w**2 + 2*w + 1. Let h be g(1). Find r such that 138*r**2 + 278*r - r**5 + 10*r**5 - h*r**2 + 66*r**4 - 242*r + 157*r**3 = 0.
-3, -2/3, 0
Let g(c) be the third derivative of c**7/420 - c**6/20 + 7*c**5/20 - 13*c**4/12 + 7*c**3/4 - c**2 + 26. Solve g(m) = 0 for m.
1, 3, 7
Let w = -1 - -31. Let n = w + -45. Let d(i) = -i**3 + i. Let x(t) = -t**4 + 6*t**3 + t**2 - 6*t. Let f(v) = n*d(v) - 3*x(v). Determine a so that f(a) = 0.
-1, 0, 1
Let x be 2907/1710 + 2/(-10) - -301. Factor -x - 5/2*q**2 - 55*q.
-5*(q + 11)**2/2
What is t in 8*t - 11/3*t**2 - 1/3*t**5 - 23/3*t**3 - 3*t**4 + 20/3 = 0?
-5, -2, -1, 1
Let j = 1/6006 + 36031/30030. Let d(l) be the second derivative of 2/15*l**6 - 14/3*l**4 - 36*l - 6*l**2 + 22/3*l**3 - 2/21*l**7 + j*l**5 + 0. Factor d(n).
-4*(n - 1)**4*(n + 3)
Factor 0 - 3/8*j**5 + 3/2*j**2 + 9/4*j**4 + 0*j - 27/8*j**3.
-3*j**2*(j - 4)*(j - 1)**2/8
Let d(o) = 3*o**4 - 176*o**3 - 176*o**2 + 166*o + 177. Let w(l) = 14*l**4 - 883*l**3 - 878*l**2 + 828*l + 886. Let q(p) = 11*d(p) - 2*w(p). Factor q(y).
5*(y - 35)*(y - 1)*(y + 1)**2
Let g(n) be the first derivative of -3*n**4/10 - 6*n**3/5 + 99*n**2/5 + 42*n - 918. Solve g(r) = 0 for r.
-7, -1, 5
Factor 120/11*a - 4*a**2 + 432/11 + 2/11*a**3.
2*(a - 18)*(a - 6)*(a + 2)/11
Find c, given that 11*c**5 - 41*c**3 - 486 + 9*c**5 + 486 + 449*c**3 + 1028*c**4 = 0.
-51, -2/5, 0
Let x(z) be the first derivative of 1587*z**4/2 + 10442*z**3/3 + 4240*z**2/3 + 200*z - 4983. Factor x(i).
2*(i + 3)*(69*i + 10)**2/3
Let p(t) be the second derivative of t**7/42 + 74*t**6/15 + 4107*t**5/10 + 50653*t**4/3 + 1874161*t**3/6 + 376*t. Factor p(j).
j*(j + 37)**4
Let d(y) = 2*y**2 - 80*y - 748. Let k(p) = -2*p**2 + 159*p + 1496. Let b(c) = -13*d(c) - 6*k(c). Determine u, given that b(u) = 0.
-34/7, 11
Let z(w) be the second derivative of -w**4/3 + 430*w**3/3 + 868*w**2 - 4*w - 120. Factor z(a).
-4*(a - 217)*(a + 2)
Let d(r) be the third derivative of 11*r**5/20 + 1025*r**4/8 + 93*r**3 - 4*r**2 + r + 15. Solve d(b) = 0.
-93, -2/11
Let w(t) be the third derivative of t**6/100 + t**5/75 - t**4/20 - 2*t**3/15 + 445*t**2. Find o such that w(o) = 0.
-1, -2/3, 1
Let z(r) be the third derivative of 11/10*r**5 + 0*r + 0 - 15/8*r**4 - 51*r**2 + r**3. Suppose z(w) = 0. Calculate w.
2/11, 1/2
Let c = -478846/99 - -57489/11. Let a = c - 389. Factor 0*j**2 - 2/3*j**4 + 0*j - 2/9*j**3 + 0 - a*j**5.
-2*j**3*(j + 1)*(2*j + 1)/9
Let c be -4 + 88 + (28 - 109). Factor -7/2 - c*a + 1/2*a**2.
(a - 7)*(a + 1)/2
Factor 53/7*b**2 + 4/7*b**3 + 25*b + 0.
b*(b + 7)*(4*b + 25)/7
Let z(b) be the first derivative of -b**3/9 - 383*b**2 - 440067*b + 8121. What is k in z(k) = 0?
-1149
Let m be (-642)/38 - (1 + 17/(-19)). Let j be -20*m/204 - 2/(-6). Factor -18/7*s**j - 12/7 - 58/7*s.
-2*(s + 3)*(9*s + 2)/7
Let w(n) be the third derivative of -n**5/75 + 121*n**4/30 + 248*n**3/5 - 233*n**2 - 9*n. Solve w(i) = 0 for i.
-3, 124
Let l be -2*(-3)/9*141/188. Let r(j) be the first derivative of -1/6*j**3 + 3/2*j - 38 + l*j**2. Factor r(n).
-(n - 3)*(n + 1)/2
Let x = -990 - -994. Let i(j) be the first derivative of 0*j**3 + 0*j**x + 0*j**2 - 3/5*j**5 - 1/2*j**6 - 1 + 0*j. Factor i(g).
-3*g**4*(g + 1)
Determine q, given that 6912/11 - 6/11*q**2 - 1704/11*q = 0.
-288, 4
Let i(o) be the third derivative of -4 + 0*o**4 - 1/300*o**6 + 19/150*o**5 + 0*o + 0*o**3 + 31*o**2. Factor i(t).
-2*t**2*(t - 19)/5
Factor 64*z**2 + 496*z + 56*z + 1440 + 464*z**3 - 462*z**3.
2*(z + 6)**2*(z + 20)
Factor -10*h**4 + 705704*h**3 - 5*h**5 - 705689*h**3 + 0*h**5.
-5*h**3*(h - 1)*(h + 3)
Let d(q) be the first derivative of -7*q**4/20 - 5*q**3 - 21*q**2/10 + 144*q - 338. Let w(l) be the first derivative of d(l). Factor w(h).
-3*(h + 7)*(7*h + 1)/5
Suppose 6*k + 62 = 326. Solve 124 - 136*j - 14*j**3 + 69*j**2 + 2*j**4 - j**4 - k = 0 for j.
1, 4, 5
Let r(j) be the second derivative of -10/11*j**4 + 0*j**2 + 0 - 200/33*j**3 + 98*j + 9/55*j**5 - 1/165*j**6. Find z such that r(z) = 0.
-2, 0, 10
Solve 86 + 2/5*c**2 + 96/5*c = 0 for c.
-43, -5
Let c(w) = -4*w + 37. Let i be c(12). Let y = i + 13. Find z such that -15*z**y - 6*z**3 - 4*z + 3*z**3 - 2*z - 3*z**3 = 0.
-2, -1/2, 0
Let r(h) be the third derivative of -h**5/330 - 7*h**4/66 - 15*h**3/11 - 31*h**2 + 14*h. Factor r(i).
-2*(i + 5)*(i + 9)/11
Let z = -623870 + 623882. Let 0 + z*a**4 + 1/4*a**5 + 0*a**2 + 144*a**3 + 0*a = 0. Calculate a.
-24, 0
Solve -1124/5*x + 2/5*x**3 + 1488/5 - 366/5*x**2 = 0.
-4, 1, 186
Suppose 31*q = 24*q + 55272. Factor 1029*c**5 + 75 + 1104*c - 8403*c**4 + 3405*c**4 - 4560*c**2 - 110 - 61 + q*c**3.
3*(c - 2)**2*(7*c - 2)**3
Let k(j) = -2*j**3 + 19*j**2 + 1. Let d(w) = 5*w**3 - 77*w**2 + 121*w - 103. Let m(c) = d(c) + 3*k(c). Factor m(g).
-(g - 4)*(g - 1)*(g + 25)
Let t(p) be the third derivative of 25*p**2 + 2*p - 1/300*p**6 + 0 + 0*p**3 + 1/15*p**5 - 1/525*p**7 - 2/15*p**4. Determine g so that t(g) = 0.
-4, 0, 1, 2
Let d(u) be the first derivative of -2*u**5/25 + 3*u**4/2 + 326*u**3/15 + 93*u**2 + 828*u/5 + 3228. Solve d(j) = 0 for j.
-3, -2, 23
Let n be (-9 + 5 + 336)*1. Let a = n - 329. Factor -16/9*q**2 + 2/9 - 5/9*q - q**a.
-(q + 1)**2*(9*q - 2)/9
Let u be 1/((-76)/16 - 15/(-3)). Let w(y) = 132*y + 1193. Let q be w(-9). Find m such that 0*m - 1/5*m**q + 1/5*m**3 - 1/5*m**u + 1/5*m**2 + 0 = 0.
-1, 0, 1
Suppose 110/3*k + 2/9*k**4 + 10/3*k**3 + 158/9*k**2 + 200/9 = 0. Calculate k.
-5, -4, -1
Solve 184/9*a**2 + 2/9*a**3 + 608*a + 5760 = 0 for a.
-36, -20
Let b(m) = -16*m**3 - 48*m**2 + 332*m + 284. Let q(x) = -x**3 + x**2 - x + 43. Let i(o) = -b(o) + 20*q(o). Suppose i(k) = 0. Calculate k.
4, 9
Suppose 3*u + 12 - 21 = 0. Let z be (-1)/2*(u + 1 - 5). Factor -z*m + 0 - 1/4*m**2.
-m*(m + 2)/4
Let j(d) = -3*d**3 + 132*d**2 - 249*d + 129. Let g(x) = -x**4 - 10*x**3 + 527*x**2 - 998*x + 515. Let h(u) = 3*g(u) - 11*j(u). Determine k so that h(k) = 0.
-7, 1, 6
Let c(d) be the second derivative of d**6/180 - 4*d**5/15 - 40*d**3/3 - 6*d. Let x(a) be the second derivative of c(a). Factor x(z).
2*z*(z - 16)
Let z = 29 - 0. Let a = z - 25. Factor a - 598*f**3 - 8*f**2 + 598*f**3 + 4*f**4.
4*(f - 1)**2*(f + 1)**2
Suppose 0 = -m - 23 + 19. Let s be -2*m/24*9. Suppose -51 + 4*y**4 + 12*y**s + 4*y**2 + 91 - 12*y - 48 = 0. What is y?
-2, -1, 1
Let l(m) be the third derivative of -m**2 + 1/60*m**4 + 1/840*m**8 - 1/150*m**6 + 0 + 43*m + 1/5*m**3 + 1/175*m**7 - 1/25*m**5. Determine q so that l(q) = 0.
-3, -1, 1
Let w(o) be the second derivative of -33/7*o**5 + 2*o - 3 - 12/7*o**3 + 3/35*o**6 + 31/6*o**4 + 0*o**2. Let w(v) = 0. Calculate v.
0, 1/3, 36
Suppose 18 = 69*o - 60*o. Suppose 2*y - o*n = 4, 0 = 5*y - 15*n + 13*n - 10. Factor 1/3*s**y - 5/3 - 4/3*s.
(s - 5)*(s + 1)/3
Let g be 20010/115*8/(-2). Let f = g - -7658/11. Factor -8/11*j**4 + 0*j**2 + f*j**3 + 0*j + 0.
-2*j**3*(4*j - 1)/11
Let z(g) be the first derivative of -45*g**4 - 5/6*g**6 + 14*g**5 + 170/3*g**3 - 55/2*g**2 + 135 + 0*g. Suppose z(m) = 0. Calculate m.
0, 1, 11
Let x(t) be the third derivative of -t**7/4200 + t**6/120 - t**5/8 + t**4/4 + t**2 + 7*t. Let j(k) be the second derivative of x(k). Factor j(h).
-3*(h - 5)**2/5
Let o be (224/(-22) + 36