6 - 4/9*s**5. Factor n(q).
-5*q*(q - 3)*(q - 2)**2/3
Factor 3*j**3 - 750*j + j**3 - 64*j**2 - 52*j**2 - 2*j**3 - 964 - 188.
2*(j - 64)*(j + 3)**2
Let p(n) be the first derivative of 162*n**5/5 + 765*n**4/2 + 1952*n**3/3 + 324*n**2 + 64*n - 1446. Factor p(l).
2*(l + 1)*(l + 8)*(9*l + 2)**2
Let x(g) be the second derivative of -g**8/13440 - g**7/630 - g**6/288 + 5*g**5/24 - 4*g**4 - 4*g - 3. Let q(w) be the third derivative of x(w). Factor q(a).
-(a - 2)*(a + 5)**2/2
Suppose 167/7*d - 1/7*d**4 + 15*d**2 + 76/7 + 13/7*d**3 = 0. Calculate d.
-4, -1, 19
Let a(o) be the second derivative of 1/3*o**3 + 1/18*o**4 + 55*o - 2/3*o**2 + 0 - 1/10*o**5 + 1/45*o**6. Factor a(m).
2*(m - 2)*(m - 1)**2*(m + 1)/3
Let p = 33 + -31. Suppose -m = -3*w + m + 48, p*m = 6. Let 36*r**2 - w*r**2 - 23*r**2 - 20*r = 0. Calculate r.
-4, 0
Let q(m) = 13*m**2 - 3376*m + 3408. Let h(l) = -11*l**2 + 3377*l - 3402. Let y(s) = 5*h(s) + 4*q(s). Determine j, given that y(j) = 0.
1, 1126
Let j(i) be the first derivative of -2*i**5/5 + 27*i**4/2 + 130*i**3/3 - 207*i**2 + 232*i - 1932. Solve j(r) = 0 for r.
-4, 1, 29
Factor 600/7 - 39/7*w**3 - 6/7*w**4 - 852/7*w + 54*w**2.
-3*(w - 2)**3*(2*w + 25)/7
Let d be ((-56)/20 + 1/(-5))*55/(4455/(-78)). Solve -d*i**3 + 100/9*i**2 - 16/9 - 88/9*i = 0 for i.
-2/13, 2
Factor -1/4*w**3 - 5/4*w + 1/2 + w**2.
-(w - 2)*(w - 1)**2/4
Let v be -50*(-3)/240 + (-95)/(-40). Factor -2/3*p**v + 26/3*p - 2*p**2 + 10.
-2*(p - 3)*(p + 1)*(p + 5)/3
Suppose -54/11*y**3 + 6/11*y**4 + 0*y + 0 + 84/11*y**2 = 0. Calculate y.
0, 2, 7
Let g(t) be the first derivative of -t**3/12 + 249*t**2/8 - 247*t/2 - 539. Suppose g(z) = 0. Calculate z.
2, 247
Let o be 616/1100*15/(-24) + -9*(-2)/30. Factor 22*q - 25/4*q**2 + o*q**3 - 21.
(q - 21)*(q - 2)**2/4
Let p(q) be the second derivative of 5*q + 0 - 1/3*q**4 + 16/3*q**3 - 30*q**2. Let p(l) = 0. Calculate l.
3, 5
Let u(k) be the second derivative of -1/6*k**4 - 6 + 6*k**2 - 9*k - 1/3*k**3. Factor u(j).
-2*(j - 2)*(j + 3)
Let x(o) be the second derivative of o**4/6 + 49*o**3/3 + 44*o + 14. Factor x(q).
2*q*(q + 49)
Let d(q) = 1198*q + 15576. Let u be d(-13). Factor -6/7*c**u - 2/7*c + 0.
-2*c*(3*c + 1)/7
Let 232/9 - 40/3*q + 2/9*q**2 = 0. Calculate q.
2, 58
Let j(z) = 2*z**4 - 860*z**3 - 16430*z**2 + 902*z + 16428. Let a(s) = -s**4 + 286*s**3 + 5477*s**2 - 301*s - 5476. Let r(f) = 14*a(f) + 5*j(f). Factor r(q).
-4*(q - 1)*(q + 1)*(q + 37)**2
Let h = -10146 + 30439/3. Let a(n) be the second derivative of 1/12*n**4 + 1/2*n**2 + 0 + 9*n - h*n**3. Let a(d) = 0. Calculate d.
1
Let m(y) be the third derivative of y**6/300 - 2*y**5/75 - 19*y**4/60 - 14*y**3/15 - 340*y**2. Factor m(b).
2*(b - 7)*(b + 1)*(b + 2)/5
Find q such that 158*q**2 + 8*q**3 - 14*q**2 - 8*q**2 - 4*q**3 + 260*q + 128 = 0.
-32, -1
Let x(t) be the first derivative of 7*t**6/3 + 7608*t**5/25 + 52328*t**4/5 + 46944*t**3/5 + 11664*t**2/5 + 772. Find g, given that x(g) = 0.
-54, -2/5, -2/7, 0
Let w(z) be the third derivative of -4*z**7/35 + 47*z**6/30 - 14*z**5/15 - 137*z**4/6 - 140*z**3/3 - 325*z**2 + z. Find u, given that w(u) = 0.
-1, -2/3, 5/2, 7
Let z(m) = 5*m**2 - 150*m - 145. Let f(b) = -35*b - 24*b + 18*b - 34*b - 71 + 2*b**2. Let w(c) = -5*f(c) + 3*z(c). Find p such that w(p) = 0.
-1, 16
Suppose -2*c + 3*i = 2*i - 2, 0 = -c + 4*i + 8. Suppose x - 29 = -4*h, -h = 3*h - 2*x - 14. Find o, given that c*o**2 + h*o**2 - 2*o**2 + 5 - 12*o + 3 = 0.
1, 2
Let j(c) be the first derivative of c**6/57 + 54*c**5/95 + 141*c**4/19 + 2828*c**3/57 + 3381*c**2/19 + 6174*c/19 - 1204. Determine f so that j(f) = 0.
-7, -3
Factor -3/2*j**3 + 6*j**2 - 10*j + 6 + 1/8*j**4.
(j - 6)*(j - 2)**3/8
Let b(m) be the second derivative of 41*m + 0 + 75/2*m**2 + 5/6*m**3 - 7/12*m**4 - 1/20*m**5. Determine w, given that b(w) = 0.
-5, 3
Let i = -1/330284743 + 28255529486511/2511485185772. Let z = i - 1/1901. Let -21/4*l**3 + 0 - z*l**2 - 3/4*l**4 - 27/4*l = 0. What is l?
-3, -1, 0
Let c(g) = 9*g - 131. Let z be c(14). Let q be 3/(-6)*(-4 + (-18)/z). Factor -q*o**4 + 0*o - 1/5*o**2 + 2/5*o**3 + 0.
-o**2*(o - 1)**2/5
Let q = -2299 + 48281/21. Let b(d) be the first derivative of q*d**3 + 0*d**2 - 1/14*d**4 - 9 + 0*d. Find x such that b(x) = 0.
0, 1
Let o(m) be the first derivative of 0*m**2 - 16/3*m**3 - 108/5*m**5 + 18*m**4 + 24 + 9*m**6 + 0*m. Solve o(t) = 0 for t.
0, 2/3
Let t = -48 - -56. Suppose 2*z = -5*i + t, -z - 1 = -2*i - 5. Factor 29*u - 25*u + 44*u**2 - 37*u**5 + 64*u**z - 219*u**5 + 144*u**3.
-4*u*(u - 1)*(4*u + 1)**3
Let p(i) = -26*i**3 + 149*i**2 - 2646*i - 3. Let t(v) = 16*v**3 - 150*v**2 + 2648*v + 2. Let c(s) = 2*p(s) + 3*t(s). Find y such that c(y) = 0.
-51, 0, 13
Let h = 449/90 - 97/20. Let i(y) be the second derivative of -h*y**4 - 4*y + 0 + 7/18*y**3 - 1/3*y**2. Factor i(c).
-(c - 1)*(5*c - 2)/3
Let k(f) be the first derivative of 2*f**6/3 + 43*f**5/5 + 125*f**4/4 + 62*f**3/3 - 12*f**2 + 720. Determine s, given that k(s) = 0.
-6, -4, -1, 0, 1/4
Let a be (41 + -2)/((3 + 6)/(-378)). Let v be (-5 - 0) + (a/(-35))/9. Determine k so that -2/5 + 2/5*k**2 - v*k**5 - 3/5*k + 0*k**4 + 4/5*k**3 = 0.
-1, 1, 2
Let k(b) be the first derivative of -5*b**3/3 - 940*b**2 + 3292. Factor k(x).
-5*x*(x + 376)
Suppose -64 - 186 = -5*q. Suppose -22 = 13*z - 24*z. Factor 14*j + j - z*j**2 - q + 5*j.
-2*(j - 5)**2
Let w(h) be the first derivative of 2*h**6/3 - 48*h**5/5 - 29*h**4 + 16*h**3 + 56*h**2 + 7387. What is l in w(l) = 0?
-2, -1, 0, 1, 14
Suppose 11*y + 1396 = 1462. Let c(k) be the first derivative of -8*k - 38/3*k**3 - 1/6*k**y - 14*k**2 - 25/4*k**4 - 8/5*k**5 + 17. Find b such that c(b) = 0.
-2, -1
Suppose 2*x = 4*l + 186, x + 9*l - 68 = 6*l. Determine i, given that 313*i**4 - 139*i**5 - 466*i**5 + 20*i**2 + 72*i**4 + 117*i**3 + x*i**3 = 0.
-2/11, 0, 1
Factor -g**3 - 9 - 5/4*g**2 + 1/4*g**4 + 9*g.
(g - 3)*(g - 2)**2*(g + 3)/4
Find y, given that 709/2*y + 1/2*y**2 - 355 = 0.
-710, 1
Suppose -4*u - 78 = 6*m, -4*u = 3*m - 761 + 800. Find d, given that 12/7*d - 4/7*d**3 + u*d**2 + 8/7 = 0.
-1, 2
Let h = 2586 + -2573. Let u(k) be the first derivative of h + 6*k**2 + 16*k - 4/3*k**3. Find g, given that u(g) = 0.
-1, 4
Let y(l) be the second derivative of -3*l**5/80 - 59*l**4/2 + 947*l**3/8 - 711*l**2/4 + 4370*l. Factor y(s).
-3*(s - 1)**2*(s + 474)/4
Factor -2496*n**2 + 0*n + 27*n**5 - 13424*n**3 + 11744*n**3 - 130*n**4 + 0*n - 77*n**4.
3*n**2*(n - 13)*(3*n + 8)**2
Let r = 7/4498 + 62909/40482. Find y, given that 0 + r*y**3 + 20/9*y + 74/9*y**2 = 0.
-5, -2/7, 0
Factor -2290*h**2 - 432 + 402 - 600 + 2292*h**2 - 162*h - 42*h.
2*(h - 105)*(h + 3)
Let l(x) be the first derivative of -2*x**6/3 - 344*x**5/5 - 568*x**4 - 4792*x**3/3 - 2062*x**2 - 1264*x - 6015. Factor l(y).
-4*(y + 1)**3*(y + 4)*(y + 79)
Factor 27 + 15/2*z + 1/2*z**2.
(z + 6)*(z + 9)/2
Factor -18*a**3 + 52 + 19*a + 12 + 4*a**3 + 33*a**2 + 93*a + a**4.
(a - 8)**2*(a + 1)**2
Let q(m) = 4*m**3 + 5*m**2 + 24*m + 15. Let h = -42 - -39. Let p(b) = 3*b**3 + 6*b**2 + 23*b + 16. Let r(d) = h*p(d) + 2*q(d). Factor r(j).
-(j + 2)*(j + 3)**2
Let n be -5 + -34 + 14628/60. Factor -1/5*m**2 - n + 64/5*m.
-(m - 32)**2/5
Let i be 4/5*(4725/1100 + 26/(-429)*9). Solve 0 + 3*z - 18/5*z**2 + 3/5*z**i = 0 for z.
0, 1, 5
Let b be (-62)/(-14) - (-33)/(-77). Factor 32*n + b*n**3 - 22 + 171*n + 51*n**2 - 47*n - 54 - 135*n**2.
4*(n - 19)*(n - 1)**2
Let t be ((1247/(-58))/43)/(18/(-24)). Solve 16*p**3 + t*p + 24*p**4 - 22/3*p**2 + 0 = 0 for p.
-1, 0, 1/6
Let s = -47 + 71. Suppose -5*z + 6 = -4. Let 4*p**2 - 8*p**2 + s*p**z + 5*p**4 + 20*p**3 = 0. Calculate p.
-2, 0
Let k(r) be the second derivative of -r**5/130 + 3*r**4/13 + 19*r**3/39 + 363*r. Find j such that k(j) = 0.
-1, 0, 19
Let 28798/13*g - 29282/13 + 482/13*g**2 + 2/13*g**3 = 0. What is g?
-121, 1
Let s(i) be the first derivative of i**5/5 - 77*i**4/4 + 1520*i**3/3 - 722*i**2 + 1902. Find g, given that s(g) = 0.
0, 1, 38
Suppose 32*b + 3 = 99. Solve 34*p**b + p - 70*p**3 + 39*p**3 + p**4 + p**2 - 2 - 4*p = 0 for p.
-2, -1, 1
Factor -13/3*l**4 + 47/3*l**3 + 1/3*l**5 - 59/3*l**2 + 8*l + 0.
l*(l - 8)*(l - 3)*(l - 1)**2/3
Let u be 8/14 + (2340/280)/(-39). Let y(b) be the second derivative of 3/28*b**5 + 0 - u*b**3 + 1/14*b**4 - 3/7*b**2 - 6*b. Factor y(f).
3*(f - 1)*(f + 1)*(5*f + 2)/7
Suppose -z + 25 = -2*