5 + 15*p**4 - 10*p**3 - 57*p**2/2 + 42*p - 931. Suppose z(w) = 0. Calculate w.
-7, -1, 1, 2
Let b(z) be the second derivative of z**5/80 - 68*z**4/3 + 294845*z**3/24 + 297025*z**2/4 + 154*z + 4. Factor b(t).
(t - 545)**2*(t + 2)/4
Let i(y) = 6*y - 212. Let q be i(34). Let t be (-6)/(86/(-4) - q). Factor -8/9 - 4/3*d**3 + 4/3*d + t*d**2 + 4/9*d**4.
4*(d - 2)*(d - 1)**2*(d + 1)/9
Let r(b) be the first derivative of -b**8/336 - b**7/35 - b**6/30 + b**5/10 + 5*b**4/24 + 12*b**2 + 125. Let j(g) be the second derivative of r(g). Factor j(h).
-h*(h - 1)*(h + 1)**2*(h + 5)
Let f(o) be the third derivative of 2*o**7/105 + 7*o**6/15 - 67*o**5/15 + 44*o**4/3 - 24*o**3 + 2021*o**2. Factor f(s).
4*(s - 2)*(s - 1)**2*(s + 18)
Let v(h) be the second derivative of -h**7/378 - h**6/10 + 59*h**5/90 - 91*h**4/54 + 41*h**3/18 - 31*h**2/18 + 9*h - 39. Determine x so that v(x) = 0.
-31, 1
Factor -292/7 - 2/7*p**2 + 42*p.
-2*(p - 146)*(p - 1)/7
Let k be ((-66)/9 - -8)*(-1248)/(-1). Solve 2*d**3 + d**4 - 3*d**2 - k + 832 = 0 for d.
-3, 0, 1
Let x(p) be the third derivative of 2 + 0*p**4 - 16/9*p**3 - 20*p**2 + 0*p + 1/90*p**5. Find s, given that x(s) = 0.
-4, 4
Let j be (-1)/(-1) + 6/(-4)*-214. Let u = 968/3 - j. Factor u*n**2 - 2/9*n**4 + 0 + 0*n - 4/9*n**3.
-2*n**2*(n - 1)*(n + 3)/9
Let y = 16848 - 16841. Let n(z) be the third derivative of 0 - 1/24*z**4 - 33*z**2 + 0*z**3 + 0*z + 1/210*z**y - 1/40*z**6 + 1/20*z**5. Factor n(g).
g*(g - 1)**3
Let c(r) = -7*r**2 - 33*r + 11. Let y be (1*-3)/((3 - 6)/(-6)). Let b(u) = -8*u**2 - 32*u + 10. Let s(i) = y*c(i) + 7*b(i). Factor s(l).
-2*(l + 2)*(7*l - 1)
Let q(w) be the third derivative of -w**6/600 - 121*w**5/60 - 30401*w**4/40 + 30603*w**3/10 - 4*w**2 + 61*w. Factor q(h).
-(h - 1)*(h + 303)**2/5
Let x = -445 + 449. Factor -10 - 4 + x + 15*o + 0 - 5*o**3.
-5*(o - 1)**2*(o + 2)
Let i(u) be the third derivative of u**6/1080 + 23*u**5/360 - 109*u**3/6 - 3*u**2 - 5*u. Let w(l) be the first derivative of i(l). Determine t so that w(t) = 0.
-23, 0
Let d(r) be the first derivative of -1/2*r**2 - 2/9*r**3 - 69 + 1/12*r**4 + 0*r. Determine f so that d(f) = 0.
-1, 0, 3
Let c(z) = 8*z**4 - 5*z**3 + z**2 + 5*z + 6. Let g(b) = -14*b**4 + 9*b**3 - b**2 - 9*b - 10. Let q(m) = -5*c(m) - 3*g(m). Factor q(n).
2*n*(n - 1)**2*(n + 1)
Suppose 9*b - 3*b - 150 = 0. Suppose -7*a + b = -31. Let -2*m**3 + 24*m + 5*m**5 - a*m**3 - 19*m = 0. Calculate m.
-1, 0, 1
Find l such that -669*l + 1880*l - 664*l - l**3 + 37*l**2 - 617*l = 0.
0, 2, 35
Suppose 2*g + 4 = -n, n + 3*g = -1 - 7. Suppose -31 = -3*m + 2*p + 45, n*p + 104 = 4*m. Let 8/3 + 54*l**2 + m*l = 0. What is l?
-2/9
Suppose 0*l**3 + 3456 + 258*l**2 + 1800*l - 3/2*l**4 = 0. What is l?
-6, -4, 16
Let a(j) = -2*j**4 - 67*j**3 + 249*j**2 + 9*j. Let b(y) = -4*y**4 - 200*y**3 + 748*y**2 + 24*y. Let d(z) = -8*a(z) + 3*b(z). Factor d(g).
4*g**2*(g - 9)*(g - 7)
Suppose -92/9*a**2 + 32 + 4/9*a**4 + 16/9*a**3 - 24*a = 0. What is a?
-6, -3, 1, 4
Let w(c) be the first derivative of -c**5/20 + 7*c**4/8 + 31*c**3/12 + 2*c**2 - 8578. Factor w(n).
-n*(n - 16)*(n + 1)**2/4
Factor 225*z**2 - 112*z + 12912*z**3 + 12911*z**3 - 1920 - 25820*z**3 + 1540*z + 264*z**2.
3*(z - 1)*(z + 4)*(z + 160)
Factor -2/3*i**3 + 0 + 0*i - 50/3*i**2.
-2*i**2*(i + 25)/3
Let q(b) = b + 11. Let f be q(12). Suppose 4*h = -7 + f. What is t in 5*t**3 + 17*t**4 - 8*t**2 - 2*t**2 - 2*t**h = 0?
-1, 0, 2/3
Let -2/9*h**2 - 36992 - 544/3*h = 0. What is h?
-408
Let s(q) = 5*q**4 - q**3 - q**2 - 2. Let l(h) = -44*h**4 - 96*h**3 - 268*h**2 + 16*h + 384. Let p(i) = l(i) + 8*s(i). Factor p(z).
-4*(z - 1)*(z + 2)**2*(z + 23)
Factor 79288*p**4 + 63*p**3 - 252*p - 79291*p**4 - 172*p**2 + 70*p**2 + 456.
-3*(p - 19)*(p - 2)**2*(p + 2)
Suppose -1650 = -2*j - 1646. Suppose -5*q = -53 - 7. Let 7*o**2 + o**4 - 11*o**2 - 4*o**j + 12*o**3 - q*o**5 + 7*o**4 = 0. Calculate o.
-1, 0, 2/3, 1
Let i(w) be the third derivative of w**6/840 + w**5/70 - 5*w**4/56 - 50*w**3/21 + 819*w**2. Let i(j) = 0. What is j?
-5, 4
Let o(n) be the first derivative of -37 - n**4 + 10*n**2 - 11 + 4*n**3 - 2*n**2 - 50. Find f such that o(f) = 0.
-1, 0, 4
Let n(k) be the first derivative of 32/3*k**3 + 170 + 0*k - 16*k**4 + 6*k**2. Let n(j) = 0. Calculate j.
-1/4, 0, 3/4
Suppose -30*o + 128*o - 27 = 89*o. Factor -2*c + 6*c**4 - 50/3*c**o + 14*c**2 - 4/3.
2*(c - 1)**3*(9*c + 2)/3
Let r(p) = 3*p**3 - 175*p**2 + 48*p + 582. Let x be r(58). Factor 0 + 1/7*k**x - 5*k.
k*(k - 35)/7
Let o = 49 - -31. Determine s, given that 14*s**3 - 15*s**3 - o*s - 51*s**2 + 2*s**3 + 2*s**3 + 26*s = 0.
-1, 0, 18
Suppose -2*r = -2*o, -o - 5 = 2*r + 1. Let b be (37/74)/(o/(-20)). Factor 75/8*t**b + 0 - 9/2*t**2 + 45/4*t**4 + 3/2*t - 33/8*t**3.
3*t*(t + 1)**2*(5*t - 2)**2/8
Let b(l) be the third derivative of l**8/3360 + 13*l**7/1050 + 47*l**6/300 + 7*l**5/15 + 1114*l**2 + 2. What is k in b(k) = 0?
-14, -10, -2, 0
Factor -148/9*m**2 + 1/9*m**3 + 0 - 100/3*m.
m*(m - 150)*(m + 2)/9
Let f(z) be the second derivative of z**7/252 - z**6/60 - 3*z**5/20 - z**4/18 + 2*z**3/3 - 392*z + 1. Solve f(h) = 0 for h.
-2, 0, 1, 6
Factor 20/11 - 2/11*g**2 + 6/11*g.
-2*(g - 5)*(g + 2)/11
Let l(z) = -5*z**2 + 8*z + 5. Let q(a) = -12 - 14*a - 6 - 9*a + 21*a**2 - 10*a. Let b(f) = -9*l(f) - 2*q(f). Factor b(w).
3*(w - 3)*(w + 1)
Suppose 3*f + 4*h + 7 = 0, 24 = 2*f - 4*h + 2. Let x - 41*x**f - 6*x - 14*x**3 - 60*x**2 = 0. What is x?
-1, -1/11, 0
Factor -33/2*j**2 + 72*j + 1/2*j**3 - 56.
(j - 28)*(j - 4)*(j - 1)/2
Let y(z) be the first derivative of 0*z**3 + 1/8*z**6 + 0*z**4 + 0*z - 3/20*z**5 + 0*z**2 + 116. What is r in y(r) = 0?
0, 1
Let s(q) be the third derivative of 0*q**5 + 0 + 0*q**3 + 0*q**4 - 37*q**2 - 1/21*q**7 + 0*q + 1/24*q**6. Factor s(a).
-5*a**3*(2*a - 1)
Let k be -17 + (17 - (-30)/(-5) - -8). Let 4/7 - 18/7*m**k - 6/7*m - 2/7*m**3 + 6/7*m**4 = 0. What is m?
-1, 1/3, 2
Let s = 366 - 79. Let w = 287 - s. Let 1/2*z**2 - 2/3 + 1/6*z**3 + w*z = 0. Calculate z.
-2, 1
Factor -2*b**3 + 7*b**3 - 352*b**2 + 711*b**2 + 359120 - 1862*b**2 + 356440*b - 1172*b**2.
5*(b - 268)**2*(b + 1)
Let n(s) be the first derivative of -s**3/6 - 91*s**2 - 16562*s + 1101. Let n(q) = 0. Calculate q.
-182
Let d be (-3)/18 + (-26)/(-12). Suppose -4*k = 4*p - 12, d*p + 3 = k + p. Let 5*n**2 - 6 + 52*n**3 - 20*n - 25*n**3 - 22*n**k - 14 = 0. What is n?
-2, -1, 2
Let l be 36/(-12) - (-9)/1. Let t be (l/12)/((-1)/(-4)) + 1. Determine h, given that -4*h**3 + t*h**2 + h**2 - 8 - 5*h**2 + 9*h**2 + 4*h = 0.
-1, 1, 2
Suppose -363*q - 69*q = -63*q. Suppose -12 = -x - 2*x + 2*r, -3*x = 5*r + 9. Determine u, given that 2/3*u + 1/3*u**x + q = 0.
-2, 0
Let z(b) be the third derivative of -2*b**7/525 - 24*b**6/5 - 57838*b**5/25 - 7083004*b**4/15 - 27303838*b**3/5 - 11684*b**2. Factor z(d).
-4*(d + 3)*(d + 239)**3/5
Let t(r) = -5*r**3 + 4*r**2 + 12*r - 32. Let w(y) = y**3. Let n(b) = t(b) + 4*w(b). Let u be n(2). Factor 2/9*d**3 + u + 8/9*d**2 + 2/3*d.
2*d*(d + 1)*(d + 3)/9
Let c(u) = -26*u**2 + 2647*u - 873842. Let q(n) = -96*n**2 + 10587*n - 3495368. Let i(o) = 22*c(o) - 6*q(o). Factor i(x).
4*(x - 661)**2
Solve 2/3*n**5 - 142/3*n**4 - 140/3*n + 0 + 142/3*n**2 + 46*n**3 = 0.
-1, 0, 1, 70
Let n be 44 + -75 + 38 + 5/(-1). Suppose 1/6*g**5 - g**4 + 0*g + 0 - 4/3*g**2 + n*g**3 = 0. What is g?
0, 2
Let k be ((-136)/(-40))/((-21)/(-45)) - 7. What is s in -k*s**2 - 2/7*s**4 + 6/7*s**3 + 4/7 - 6/7*s = 0?
-1, 1, 2
Let z(a) = 2*a**3 + 31*a**2 + 16*a + 18. Let n be z(-15). Suppose -154*d**5 - 3*d**4 + d**n - d**4 + 158*d**5 = 0. What is d?
0, 1/2
Let f be 14 + (-7 - (1 + 2))/2. Suppose f*r**4 + 34*r**4 - 31*r**4 + 12*r**3 + 3*r**5 = 0. What is r?
-2, 0
Solve 1 + 31*x**3 + 57*x**3 - 1 + 405*x - 1623*x**2 - 76*x**3 = 0.
0, 1/4, 135
Let b = -1524320/3 - -508108. Find g, given that 2*g**3 + 2/3*g**4 + 0 + b*g**2 + 0*g = 0.
-2, -1, 0
Suppose 0 = 5*b + 4*s, -2*s - s = 0. Suppose d - 5*r - 19 = b, -4*d - 3*r + 6 + 1 = 0. Factor 0*k + 0*k**d - 2/9*k**5 + 0 + 2/3*k**3 - 4/9*k**2.
-2*k**2*(k - 1)**2*(k + 2)/9
Factor 460/7 - 464/7*k + 4/7*k**2.
4*(k - 115)*(k - 1)/7
Let s(t) be the third derivative of -2/5*t**5 - 19*t**2 + 1/70*t**7 + 3/2*t**4 + 2*t - 1/40*t**6 + 0 + 0*t**3. Find r such that s(r) = 0.
-3, 0, 2
Suppose -3*f = -71*f + 204. Let o be -3 + 2 - (-4 + 3 + -2). Factor -1/2*