 273*y**2/8 + 10418*y. Solve r(w) = 0 for w.
-14, -13
Let c = 19 + -14. Factor -h**5 - 9*h**4 - 20*h**2 - 14*h**3 + 5*h**c - 5*h**5 + 36 + 17*h**4 + 39*h.
-(h - 4)*(h - 3)**2*(h + 1)**2
Let k(o) be the third derivative of 1301881*o**5/180 + 1141*o**4/18 + 2*o**3/9 - 4250*o**2. Find t such that k(t) = 0.
-2/1141
Find m such that -15/2*m**3 + 21/2*m**4 - 3/2*m**5 + 9*m - 21/2*m**2 + 0 = 0.
-1, 0, 1, 6
Suppose 13*z = -5*m + 80, 2803*z - 2799*z - 20 = 0. Find x, given that -399/4*x**m + 0 - 1/4*x**5 + 100*x - 10*x**4 + 10*x**2 = 0.
-20, -1, 0, 1
Factor 0 - 11/8*m**3 + 5/2*m + 1/8*m**4 + m**2.
m*(m - 10)*(m - 2)*(m + 1)/8
Let k be 112/(-32)*((-11)/7 + 1). Determine o, given that 54 - 273*o + 345*o**k - 141*o**3 + 129*o**3 - 114*o**2 = 0.
1/4, 1, 18
Suppose -5*h + 3*p = 0, -5*p + 4 = -5*h - 6. Let m = 0 + 3. Solve -1 + m*z**2 - 2 + z**3 + z**h + 3*z - 5*z**3 = 0 for z.
-1, 1
Suppose 4*h = 2*z - 16, 64 = 2*z + 3*z + 2*h. Suppose 2*w + z = 6*w. Factor 2*n - 1 + w*n - 3*n**3 + 4*n**3 - 4*n**2 - 1.
(n - 2)*(n - 1)**2
Find f, given that -410*f**3 - 33620 + 1490*f**2 + 1103*f**2 + 1640*f + 5*f**4 + 2360*f**2 + 297*f**2 + 3135*f**2 = 0.
-2, 2, 41
Suppose -250 + 35/8*v**2 - 25*v - 1/8*v**3 = 0. Calculate v.
-5, 20
Let f(k) = 4*k**3 - 10*k**2 - 3*k - 4. Let z be f(3). Factor -30*d**5 + 17*d**2 + 63*d**2 + 32*d + 32*d**z + 20*d**4 + 66*d**3.
2*d*(d + 1)**2*(d + 4)**2
Suppose 2*w = 4*j - 3*j + 133, 0 = -3*j + 9. Let -3*b**2 + 23*b**2 + w*b - 22*b**2 = 0. What is b?
0, 34
Let d(g) be the first derivative of -g**8/168 + g**6/30 - g**4/12 - g**2 - 2*g - 54. Let w(a) be the second derivative of d(a). Factor w(p).
-2*p*(p - 1)**2*(p + 1)**2
Let q be 5/(-120) - (-784)/384. Factor 44/21*u**q - 2/21*u**3 + 2/21*u - 44/21.
-2*(u - 22)*(u - 1)*(u + 1)/21
Let k(i) be the first derivative of -3*i**2 - 1/6*i**4 + 102 + 4/3*i**3 + 0*i. Factor k(s).
-2*s*(s - 3)**2/3
Let v = -46156/1281 + 60/61. Let w = 106/3 + v. Factor 4/7 - w*r**2 + 2/7*r.
-2*(r - 2)*(r + 1)/7
Let c(v) be the third derivative of v**7/140 + 337*v**6/20 + 60615*v**5/4 + 22780913*v**4/4 + 90518849*v**3/4 + 87*v**2 - 12. Find l, given that c(l) = 0.
-449, -1
Let g(v) = -6*v**3 + 28*v**2 - 124*v - 8. Let j(r) = -7*r**3 + 27*r**2 - 123*r - 10. Let n be (-33)/66 + (-7)/2. Let x(z) = n*j(z) + 5*g(z). Factor x(w).
-2*w*(w - 8)**2
Let r = 132119 - 924827/7. Determine a so that -2/7*a**5 - 2/7*a**3 + 4/7*a + 6/7*a**4 + 0 - r*a**2 = 0.
-1, 0, 1, 2
Suppose -5*p - f = -107, 2*p - 2*f - 23 = 15. Let m be (2*3/42)/(6/p). Factor -5/2 - 2*z + m*z**2.
(z - 5)*(z + 1)/2
Factor t**3 + 1059*t**2 + 4*t**3 + 4670460*t - 9429*t**2 - 868705560.
5*(t - 558)**3
Let u be (-8264)/48 - (-2 - 3)*1. Let f = -167 - u. Factor 1/2*v - 1/2*v**2 - f + 1/6*v**3.
(v - 1)**3/6
Let l(f) = -13*f**3 + 106*f**2 - 103*f - 231. Let h(o) = 7*o**3 - 52*o**2 + 51*o + 115. Let z(i) = 9*h(i) + 5*l(i). Suppose z(a) = 0. Calculate a.
-1, 2, 30
Suppose 44 = 2*x + 4*y, -4*x + 4*y = -12 - 40. Suppose -4*p - 5*f = 12, -12*p - f - 12 = -x*p. Factor 3/2 + r - 1/2*r**p.
-(r - 3)*(r + 1)/2
What is t in 54/5*t + 0 - 2/5*t**2 = 0?
0, 27
Let q be -21 + (-1072)/(-48) - (-4)/6. Let g be 1/6 + (-152)/(-240). Find r, given that -8/5 + 12/5*r + 0*r**q - g*r**3 = 0.
-2, 1
Let p be 0*(1 - (0 + 0)). Suppose -5*w - 6*w + 22 = p. Factor w + 43*g + 10 + 5*g**3 - 3*g + 25*g**2 + 8.
5*(g + 1)*(g + 2)**2
Let g(t) be the second derivative of -t**5/60 + t**3/6 - 50*t**2 - 124*t. Let a(l) be the first derivative of g(l). Factor a(q).
-(q - 1)*(q + 1)
Let k(q) be the second derivative of 0 - 11/30*q**4 - 9/5*q**2 - 1/50*q**5 - 19/15*q**3 + 3*q. Solve k(g) = 0 for g.
-9, -1
Suppose 5*v - 5*n = -4*n + 15, 0 = -3*v - 5*n - 19. Factor -4*u**3 + 8*u**2 - 24*u - 4*u + 27*u**v - 3*u**2.
-4*u*(u - 7)*(u - 1)
Factor -2/3*j**2 + 0 - 176*j.
-2*j*(j + 264)/3
Factor 1026/5 + 96/5*t**2 + 657/5*t - 3/5*t**3.
-3*(t - 38)*(t + 3)**2/5
Let a = 371 + -366. Factor -49623*p**2 - 122*p - 23*p + a*p**3 - 75 + 49558*p**2.
5*(p - 15)*(p + 1)**2
Factor -3/8*u**3 + 639/2*u**2 - 90738*u + 8589864.
-3*(u - 284)**3/8
Let r(j) be the second derivative of j**5/40 - 4*j**4/3 - 35*j**3/3 - 36*j**2 - 1792*j. Determine p, given that r(p) = 0.
-2, 36
Suppose 354 = -3*s + 366. Factor 14152 - 5*b**4 - 14152 + 6*b**3 + 2*b**s.
-3*b**3*(b - 2)
Let d = 280 + -254. Suppose d*p - 4 - 74 = 0. Suppose 4/15*l**2 + 0 - 2/15*l**p + 2/5*l = 0. Calculate l.
-1, 0, 3
Suppose 5*i - 861 = 3*s + i, 5*s + 2*i + 1435 = 0. Let q = s - -289. Factor 1/4*o**q - 1/4*o**3 + 0 + 0*o.
-o**2*(o - 1)/4
Let h(g) be the second derivative of -15*g - 1/12*g**4 - 8*g**2 - 4*g**3 - 1/30*g**6 + 3/10*g**5 - 2. Factor h(z).
-(z - 4)**2*(z + 1)**2
Let i(t) = -5*t**4 - 4*t**3 + 39*t**2 - 42*t. Let n(c) = 11*c**4 + 8*c**3 - 77*c**2 + 86*c. Let s(q) = -14*i(q) - 6*n(q). Factor s(d).
4*d*(d - 3)*(d - 1)*(d + 6)
Let s(c) be the first derivative of 3*c**5/25 - 259*c**4/20 + 6113*c**3/15 - 22181*c**2/10 + 6724*c/5 + 3946. Suppose s(k) = 0. What is k?
1/3, 4, 41
Factor 516128 + 510*t**2 + 1/2*t**3 + 131064*t.
(t + 4)*(t + 508)**2/2
Let x(c) = 9785*c - 58708. Let b be x(6). Suppose -2/5*u**3 + 78/5*u - 4/5*u**b - 144/5 = 0. Calculate u.
-8, 3
Let d(n) be the second derivative of n**7/63 + 19*n**6/45 + 17*n**5/30 - 19*n**4/18 - 2*n**3 - 31*n - 7. Determine o so that d(o) = 0.
-18, -1, 0, 1
Let v(u) be the first derivative of -u**5/12 + 65*u**4/18 - 102*u + 102. Let f(w) be the first derivative of v(w). Find x such that f(x) = 0.
0, 26
Let q(v) be the second derivative of -v**5/30 + 10*v**4/9 - 107*v**3/9 + 88*v**2/3 - 6*v - 2. Factor q(p).
-2*(p - 11)*(p - 8)*(p - 1)/3
Suppose 3*y - 6 = -4*k, 5 = 99*k - 94*k + 5*y. Factor -96/5 + 48/5*w**2 + 24/5*w**k - 3/5*w**5 - 6/5*w**4 - 48/5*w.
-3*(w - 2)**2*(w + 2)**3/5
Suppose 0 = t - 2*r - 18, 3*t + 5*r = t. Suppose t = 2*y - 2. Let -y*v + 15*v**2 + 90*v**3 - 2*v**5 + 5*v**5 - 3*v**4 - 99*v**3 = 0. Calculate v.
-2, 0, 1
Suppose -16*t = -134 - 58. Suppose -241*p**3 - 236*p**3 - t*p**2 + 481*p**3 + 16 = 0. What is p?
-1, 2
Suppose -11101 = -8*n - 2581. Let r be 9/2*142/n. Factor -r*s**2 + 18/5 + 3*s.
-3*(s - 6)*(s + 1)/5
Factor 364*z - 9*z**2 - 8*z**2 + 29*z**2 - 8*z**2.
4*z*(z + 91)
Let a(z) be the first derivative of 2*z**3/33 + 45*z**2/11 + 8*z - 849. Factor a(l).
2*(l + 1)*(l + 44)/11
Let z(n) = -4*n**3 - 101*n**2 - 3*n + 6. Let u be z(-25). Let f = -543 - u. Factor 1/2*i**3 + 5/2*i - f - 2*i**2.
(i - 2)*(i - 1)**2/2
Suppose -5*k + 9 = -4*u, -5*k + 2*k - 5 = -5*u. Let y be ((-3)/(-9))/(u - 5/5). Find f such that -y*f**4 + 0*f**2 + 1/9 + 2/9*f - 2/9*f**3 = 0.
-1, 1
Let n(q) be the first derivative of 3*q**5/40 + 615*q**4/16 + 5253*q**3 - 615*q**2/8 - 126075*q/8 - 2012. What is k in n(k) = 0?
-205, -1, 1
Let c be 32 + (19/2 - 40). Suppose -1/4*j**3 + 0 - c*j**4 - 1/4*j**5 + 6*j**2 - 4*j = 0. Calculate j.
-4, 0, 1
Let g be 129*3/18 + -11. Let w(d) be the first derivative of 3/10*d**5 - 15/2*d - 6*d**3 + 8 + 3/4*d**4 + g*d**2. Factor w(a).
3*(a - 1)**3*(a + 5)/2
Let n(h) be the second derivative of h**6/30 - 17*h**4/4 + 49*h**3/3 - 24*h**2 - 1286*h. Let n(s) = 0. What is s?
-8, 1, 6
Let t(q) = -2520*q - 12598. Let u be t(-5). Factor -4 - 10/3*h - 2/3*h**u.
-2*(h + 2)*(h + 3)/3
Let k(y) be the second derivative of y**7/21 - 3*y**6/10 - 9*y**5/10 - y**4/12 + y**3 + 2059*y. Solve k(r) = 0.
-1, 0, 1/2, 6
Let m be (18/(-52))/(528/(-1144)). Let q(g) be the first derivative of 16 + 0*g - 1/2*g**2 - g**3 - 1/5*g**5 - m*g**4. Solve q(u) = 0.
-1, 0
Factor 395*l**2 - 2584 - 274190 - 21342 - 1159*l**2 + 30384*l + 4*l**3 + 9292*l.
4*(l - 91)**2*(l - 9)
Let q(f) = 5*f**2 - 550*f - 1693. Let u be q(113). Find y, given that -3/2*y**3 + u*y + 1/4*y**4 + 1/4*y**5 + 0 - y**2 = 0.
-2, 0, 1, 2
Let y(z) be the first derivative of -z**3/9 + 1375*z**2/3 - 1890625*z/3 + 9276. Factor y(x).
-(x - 1375)**2/3
Suppose -952035*l**3 - 31 + 264*l + 322*l - 357 + 952037*l**3 - 200*l**2 = 0. What is l?
1, 2, 97
Let q = -61 - -61. Suppose r - 1 = q, -s + 0*r + 2 = -3*r. Determine h so that 17 - s*h**3 + 15*h**2 + 29 - 66 = 0.
-1, 2
Let l(v) be the first derivative of 3*v**2/2 - 13*v - 6. Let h be l(5). Factor -19*b - 8*b - 70 - b - 28 - h*b**2.
-2*(b + 7)**2
Let c(b) = b**3 - 457*b**2 + 2728*b - 9920. Let f be c(451). Factor 4/3 + 22/3*r**f - 26/3*r.
2*(r - 1)*(1