) + (-6 + 4)/(122/(-549)). Find r, given that 8/17*r**f + 12/17 + 22/17*r - 2/17*r**3 = 0.
-1, 6
Let k(l) be the third derivative of l**7/420 - l**6/20 - 229*l**5/120 - 49*l**4/4 + 69*l**3 - 1140*l**2. Solve k(y) = 0 for y.
-6, 1, 23
Let t(i) be the second derivative of -i**6/120 + 327*i**5/20 - 106929*i**4/8 + 11655261*i**3/2 - 11433811041*i**2/8 - 116*i - 1. Factor t(n).
-(n - 327)**4/4
Suppose 3*l = -6*q + 4*q, -11*l + 5*q = 0. Let u(c) be the first derivative of -3/4*c**4 + 21/2*c**2 + l*c**3 + 18*c - 17. Factor u(p).
-3*(p - 3)*(p + 1)*(p + 2)
Let b(r) = 10*r - 348. Let n be b(35). Factor -24*s**3 - 3*s**4 - 2*s**2 + 42*s**5 - 14*s**n + 7*s**4 + 32*s - 38*s**5.
4*s*(s - 2)*(s - 1)*(s + 2)**2
Let k(d) = d**4 + d**2. Let x be 6 + 20/(-4) + -2. Let w(p) = 5*p**4 - 2*p**3 + 3*p**2 + 2*p. Let t(c) = x*w(c) + 4*k(c). Factor t(j).
-j*(j - 2)*(j - 1)*(j + 1)
Let a be (6*(-15)/50)/(24/(-40)). Solve 2541 - 1040*f**2 + 15*f**3 + 7575*f + 20*f**a + 405 - 696 = 0.
-2/7, 15
Let x(n) be the first derivative of 2*n**3/27 + 50*n**2/9 + 64*n/3 - 649. Factor x(c).
2*(c + 2)*(c + 48)/9
Let a(c) be the third derivative of -c**7/945 - c**6/135 + c**5/135 + c**4/9 - c**3/3 - 28*c**2 + 2*c + 84. Solve a(d) = 0 for d.
-3, 1
Factor -2/7*z**2 - 11688/7*z - 17076168/7.
-2*(z + 2922)**2/7
Find z such that 0 - 3*z**2 - 9 - 18*z - 4*z - 15*z + 25*z = 0.
-3, -1
Let f(l) be the first derivative of -4*l**5/45 - 38*l**4/9 - 428*l**3/9 + 1520*l**2/9 - 1600*l/9 + 2. Factor f(r).
-4*(r - 1)**2*(r + 20)**2/9
Let n(t) be the first derivative of -t**3 + 189*t**2 + 381*t + 1686. Find b such that n(b) = 0.
-1, 127
Let p = 421 + -296. Let i be 2/3 + p/(-525). Factor 4/7 + 0*k + i*k**3 - k**2.
(k - 2)*(k - 1)*(3*k + 2)/7
Let w(u) be the first derivative of 3*u**5/5 + 69*u**4 - 5156. Find v, given that w(v) = 0.
-92, 0
Let j(z) = 26*z**5 - 8*z**4 - 88*z**3 - 19. Let i(p) = 9*p**5 - 3*p**4 - 30*p**3 - 6. Let u(a) = -19*i(a) + 6*j(a). Factor u(x).
-3*x**3*(x - 2)*(5*x + 7)
Let n be 227/(-80)*-2 - (4 - (-2064)/(-645)). Factor -3/4*j**2 + n*j - 9/4.
-3*(j - 6)*(2*j - 1)/8
Let u = 764/897 - -144/299. Factor u - 4/3*k**3 + 4/3*k - 4/3*k**2.
-4*(k - 1)*(k + 1)**2/3
Determine n so that -6912/7 + 1044/7*n**2 + 1728/7*n + 2/7*n**4 - 94/7*n**3 = 0.
-3, 2, 24
Let x(y) be the second derivative of -y**6/30 + 2*y**4 + 32*y**3/3 - 85*y**2 - 4*y. Let w(g) be the first derivative of x(g). Determine n, given that w(n) = 0.
-2, 4
Suppose 36*n = 31*n - 20. Let h be -1 + 0 - ((-10 - n) + 3). Find p, given that -8/7*p + 4/7*p**5 + 6/7*p**3 + 16/7*p**2 + 0 - h*p**4 = 0.
-1, 0, 1/2, 2
Find c, given that 16*c**4 + 2444*c**5 - 24*c**3 - 4*c**2 - 2446*c**5 + 4*c**2 = 0.
0, 2, 6
Suppose 5*d = -4*d + 18. Factor 64 + 299*p**3 + 74*p**d + 512*p + 1401*p**2 + 597*p**3 + 196*p**4 - 227*p**2.
4*(p + 2)**2*(7*p + 2)**2
Let o = 8 - 4. Let a(z) = z**3 + 23*z**2 - 286*z + 66. Let g be a(-32). Let 0*j**3 + 2/13*j**o - 2/13*j**g + 0*j + 0 = 0. Calculate j.
-1, 0, 1
Factor -573/7*g + 1692/7 + 3/7*g**2.
3*(g - 188)*(g - 3)/7
Let w(y) be the second derivative of -3/8*y**2 + 1/8*y**4 - 3*y - 1/24*y**3 - 1/168*y**7 + 1 + 1/40*y**5 - 1/40*y**6. Find p such that w(p) = 0.
-3, -1, 1
Let n = 2428/3637 + -10/10911. Factor -4/3*j + 2*j**2 - n*j**3 + 0.
-2*j*(j - 2)*(j - 1)/3
Let g(n) = -14*n**3 - 139*n**2 - 161*n - 9. Let o(t) = 3*t**3 + 35*t**2 + 40*t + 2. Let l(p) = -2*g(p) - 9*o(p). Suppose l(m) = 0. Calculate m.
-1, 0, 38
Let h = 770129 - 2310386/3. Factor -1/6*f**2 - h*f - 1/6.
-(f + 1)**2/6
Let p(f) be the second derivative of 245/2*f**2 - 105/2*f**3 + 0 - 1/4*f**5 + 204*f + 25/4*f**4. Determine s so that p(s) = 0.
1, 7
Suppose 2*d - 2619 = -w - 2*w, d - 3492 = -4*w. Factor 6*l**2 + 51*l + 2*l**2 - l**2 - 859 + w.
(l + 7)*(7*l + 2)
Solve -19/4*q**3 - 137/4*q - 95/4*q**2 - 15 - 1/4*q**4 = 0.
-12, -5, -1
Let y = -22395 - -22398. Let t(l) be the first derivative of 2/9*l**y + 3 + 0*l - 1/24*l**4 + 0*l**2. Solve t(p) = 0 for p.
0, 4
Let s(d) be the first derivative of -2/3*d**2 + 7/6*d**4 + 0*d - 28 - 10/9*d**3. Solve s(j) = 0.
-2/7, 0, 1
Let y(k) = -k**2 - 21*k - 29. Let f be y(-4). Suppose f*s - 78 = -0*s. Factor 4/5*o + 1/5*o**s + 4/5.
(o + 2)**2/5
Let y = 1221943/4 + -305477. Suppose 5/4*v**4 - 15/2*v**3 + 15/2*v + y - 10*v**2 = 0. What is v?
-1, 1, 7
Factor -1161 - 18*j + 2467 + j**2 - 1241.
(j - 13)*(j - 5)
Let k(n) be the first derivative of n**5/25 + 17*n**4 - 342*n**3/5 + 514*n**2/5 - 343*n/5 - 1308. Factor k(h).
(h - 1)**3*(h + 343)/5
Let 0 - 49/3*v - 1/6*v**5 - 31/2*v**3 + 17/6*v**4 + 175/6*v**2 = 0. What is v?
0, 1, 2, 7
Let j(t) = -t**3 + 18*t**2 - 43*t + 2. Let h(r) = -5*r**3 + 91*r**2 - 217*r + 11. Let s(l) = -4*h(l) + 22*j(l). Factor s(o).
-2*o*(o - 13)*(o - 3)
Let r = 19375/4 - 4731. Let p = r + -225/2. Find h, given that p*h**2 + 0 + h = 0.
-4, 0
Factor 0*m - 2/5 + 0*m**3 - 2/5*m**4 + 4/5*m**2.
-2*(m - 1)**2*(m + 1)**2/5
Let k(v) = 10*v**2 + 11*v - 72. Let s(m) = 43*m**2 + 45*m - 284. Let z(q) = -26*k(q) + 6*s(q). Factor z(d).
-2*(d - 6)*(d + 14)
Let z(a) be the first derivative of 28 - 1/2*a**4 - 6*a**2 + 14/3*a**3 + 0*a. Determine p so that z(p) = 0.
0, 1, 6
Factor -620/3*q + 52/3*q**2 + 0 + 1/3*q**3.
q*(q - 10)*(q + 62)/3
Suppose 7861*c = 7866*c. Let c - 4/3*s**3 + 16/3*s + 0*s**2 = 0. What is s?
-2, 0, 2
Let w = -21038 - -84177/4. Let o(a) be the first derivative of -45/4*a - 5/12*a**3 + 45 + w*a**2. Find y, given that o(y) = 0.
1, 9
Let z(h) = 317*h**4 - 954*h**3 + 953*h**2 - 326*h + 17. Let x(a) = -475*a**4 + 1430*a**3 - 1430*a**2 + 490*a - 25. Let l(k) = -7*x(k) - 10*z(k). Factor l(f).
5*(f - 1)**3*(31*f - 1)
Let m(p) = 14*p - 4. Let l(g) = -679*g**2 + 208*g - 4. Let o(d) = 4*l(d) - 20*m(d). Solve o(n) = 0.
-8/97, 2/7
Let d = 6317 - 6314. Let m(s) be the second derivative of 1/17*s**2 + 0 + 1/34*s**4 - 1/17*s**d + 19*s - 1/170*s**5. Solve m(z) = 0.
1
Let n(r) be the second derivative of -13/3*r**3 - 1/70*r**5 + 86*r + 17/42*r**4 + 0 + 21*r**2. Suppose n(j) = 0. What is j?
3, 7
Suppose 62*s - 108 = 64 + 76. Let a(v) be the second derivative of 0*v**2 - 2/3*v**3 + 0 + 1/60*v**6 + 33*v - 3/20*v**5 + 1/2*v**s. Solve a(f) = 0.
0, 2
Let w(c) be the third derivative of -c**7/630 - 283*c**6/60 - 719101*c**5/180 + 120275*c**4/6 - 361250*c**3/9 - 130*c**2 + c + 1. Find g such that w(g) = 0.
-850, 1
Let w = -4334 - -4340. Let z(x) be the third derivative of 4/3*x**3 - 11/6*x**4 + 24*x**2 + 13/15*x**5 + 0 - 2/15*x**w + 0*x. Factor z(n).
-4*(n - 2)*(n - 1)*(4*n - 1)
Suppose -5*u = -21*u + 2880. Factor -36*l**3 + u*l**2 + 178 - 316*l + 255*l + l**4 + 697 + 14*l**3 - 589*l.
(l - 7)*(l - 5)**3
Let y be 0*(3 - 2) - (-2076)/4. Let x = -6745/13 + y. Determine t, given that -4/13 - 8/13*t**2 - 10/13*t - x*t**3 = 0.
-2, -1
Let -f**3 - f**3 + 3211*f**2 - 266 - 3136*f**2 + 7*f**3 + 115*f + 71 = 0. Calculate f.
-13, -3, 1
Let i(t) = -t**3 + 10*t**2 - 26*t + 17. Let x(r) = -1 - 2 + 4 - r**3. Suppose 65*p = 45*p - 120. Let h(c) = p*x(c) + 2*i(c). Factor h(z).
4*(z - 1)**2*(z + 7)
Let d(a) = a**3 + a**2 + 11*a + 1. Let r(v) = -18*v**3 - 18*v**2 - 129*v - 15. Let x(l) = 15*d(l) + r(l). Factor x(n).
-3*n*(n - 3)*(n + 4)
Let f(m) be the second derivative of -23/30*m**3 + 61*m + 0 + 0*m**2 + 1/60*m**4. Suppose f(n) = 0. Calculate n.
0, 23
Determine h so that -153/7*h**2 - 18/7*h**3 + 3/7*h**4 + 348/7*h - 180/7 = 0.
-6, 1, 10
Let -275*h + 148*h + 487*h - 364 + 4*h**2 = 0. Calculate h.
-91, 1
Let u(z) = 4*z**2 + 36*z + 222. Let n be 2/(-1) + (-6 - (6 - 11)). Let j(c) = c**2 + 2*c - 1. Let a(x) = n*j(x) + u(x). Factor a(t).
(t + 15)**2
Factor 5678/5*d + 2/5*d**3 - 2842/5*d**2 - 2838/5.
2*(d - 1419)*(d - 1)**2/5
Let f(x) be the first derivative of x**6/1800 - x**5/600 - x**4/60 + 16*x**3/3 - 3*x - 20. Let z(l) be the third derivative of f(l). Factor z(b).
(b - 2)*(b + 1)/5
Factor -5*k**2 + 472 - 1624 + 150*k + 872.
-5*(k - 28)*(k - 2)
Let t(s) = s**3 + 8*s**2 + 5*s - 29. Let q be t(-7). Let j be ((-15)/2)/q*0. Factor 1/2*w + w**2 + j.
w*(2*w + 1)/2
Let h(c) = -3*c**3 - 82*c**2 + 215*c + 727. Let i(m) = -m**3 - 40*m**2 + 107*m + 363. Let v(u) = 3*h(u) - 7*i(u). Let v(x) = 0. What is x?
-2, 9, 10
Let o be (-14 + 10)*-2*1/2. Find q such that -3/4*q**3 + 1/4*q**5 - 1/4*q**2 + 1/2*q + 0 + 1/4*q**o = 0.
-2, -1, 0, 1
Let s(h) be the second deri