*s**2/8 + 305*s + 2. Factor v(h).
-(h - 1)*(72*h - 5)/4
Solve 1/6*h + 2*h**2 - 1/6*h**3 - 2 = 0 for h.
-1, 1, 12
Let p = -54 - -58. Let u be ((-6)/p)/(3/(-4)). Determine m so that 3/4*m**u + 1/4*m**3 + 0 + 1/2*m = 0.
-2, -1, 0
Let r(k) be the third derivative of 26*k - 11/4*k**4 + 1/20*k**5 + 2*k**2 + 0 + 121/2*k**3. Factor r(b).
3*(b - 11)**2
Let r(x) be the first derivative of -x**7/252 + 11*x**6/180 - x**5/3 + 2*x**4/3 - 192*x - 76. Let l(i) be the first derivative of r(i). Factor l(f).
-f**2*(f - 4)**2*(f - 3)/6
Let s(o) be the first derivative of o**4/4 + 12*o**3 + 155*o**2/2 - 6871. Factor s(c).
c*(c + 5)*(c + 31)
Solve 2/9*w**2 + 0 + 34/9*w = 0.
-17, 0
Let f = 73503 - 514487/7. Solve 32/7*j + 2/7*j**2 - f = 0 for j.
-17, 1
Let o(d) be the first derivative of -d**6/84 - 11*d**5/105 - 23*d**4/84 - 2*d**3/7 - 83*d**2/2 + 91. Let i(y) be the second derivative of o(y). Factor i(t).
-2*(t + 1)*(t + 3)*(5*t + 2)/7
Let q(y) be the first derivative of 2*y**5/5 - 24*y**4 + 350*y**3 + 1250*y**2 - 8304. Factor q(k).
2*k*(k - 25)**2*(k + 2)
Let b = -5/46 + 127/322. Let d be (-883 + 890)/(0 - 1) - -1*9. Solve -4/7*t**d + 2/7*t + 4/7 - b*t**3 = 0 for t.
-2, -1, 1
Let l be ((-213)/12)/((-7)/28). Factor -h**4 - 71 + h**2 + l.
-h**2*(h - 1)*(h + 1)
Let 0 - 88*a**2 - 1/3*a**3 - 5808*a = 0. Calculate a.
-132, 0
Suppose 142*r = 449 - 165. Factor -5*f**r - 15/2 + 5/4*f**3 - 55/4*f.
5*(f - 6)*(f + 1)**2/4
Let t(k) be the second derivative of -5*k + 9/2*k**3 + 12*k**2 + 1/4*k**4 + 3. What is h in t(h) = 0?
-8, -1
Let f(c) = 2*c**2 + 4*c - 15. Let b be f(-5). Solve 1 + 8*w**4 + 25*w**3 - w**2 + 11*w + 10*w**2 + 3*w**2 + b*w**2 = 0 for w.
-1, -1/8
Let g = -5333/6 - -2674/3. Let o(a) be the first derivative of 31 - 2/3*a**3 + 1/4*a**4 + 6*a - g*a**2. Factor o(d).
(d - 3)*(d - 1)*(d + 2)
Suppose 2*b = 49 - 153. Let v = b + 68. Solve v*f + 10 - 510*f**4 + 22 + 506*f**4 - 24*f**2 - 20*f**3 = 0 for f.
-2, 1
Let w(g) be the first derivative of -g**5/20 + 11*g**4/12 - 19*g**3/6 + 9*g**2/2 - 14*g + 39. Let o(p) be the first derivative of w(p). What is u in o(u) = 0?
1, 9
Factor 0 - 2/13*f**2 + 2604/13*f.
-2*f*(f - 1302)/13
Let w(d) = -15*d**2 + 17*d. Suppose 0 = 5*g + 2 - 12. Let r be -5 - (-3)/(3 - g). Let v(x) = x**2 - x - 1. Let u(a) = r*v(a) - w(a). Factor u(h).
(h - 1)*(13*h - 2)
Let b(z) = z - 23. Let r be b(0). Let f be r/(-92) + 30/8. Factor -64/3 + 20*n**2 + 32/3*n + 4/3*n**f - 32/3*n**3.
4*(n - 4)**2*(n - 1)*(n + 1)/3
Let s(v) be the third derivative of 0*v + 2*v**2 - 5/4*v**4 - 101 + 1/30*v**5 + 14/3*v**3. Suppose s(h) = 0. What is h?
1, 14
Let d(g) be the second derivative of -1/18*g**4 + 56*g + g**3 + 0 + 0*g**2. Factor d(q).
-2*q*(q - 9)/3
Suppose -202 = -1218*u + 200 - 402. Factor u*s + 2/5*s**5 - 12/5*s**2 + 0 - 16/5*s**4 + 26/5*s**3.
2*s**2*(s - 6)*(s - 1)**2/5
Let d = 2369 - 2366. Let y(h) be the second derivative of 0 - 16*h + 4*h**2 - h**4 - 2/3*h**d. Find o such that y(o) = 0.
-1, 2/3
Let z = -3056348/7 - -436676. Factor 188/7*h**2 - z*h + 16/7.
4*(h - 2)*(47*h - 2)/7
Solve 104/9*h - 154 + 2/9*h**2 = 0.
-63, 11
Let p be ((-1)/((-14)/(-40)))/((-29088)/33936). Find h, given that -5/3*h**4 - p*h**3 + 0*h + 0*h**2 + 0 = 0.
-2, 0
Suppose 0 = -65*u + 77*u - 60. Solve -81*w**2 - 14*w**u - 43*w**3 - 256*w + 10*w**5 + 123*w**3 - 111*w**2 - 2*w**4 + 14*w**4 = 0.
-4, -1, 0, 4
Determine u, given that -15351 - 176*u**3 - 5*u**4 + 15351 - 175*u + 11*u**3 + 345*u**2 = 0.
-35, 0, 1
Find d, given that -d**3 - 20 + 171/5*d**2 - 8*d - 3/5*d**5 - 23/5*d**4 = 0.
-5, -2/3, 1, 2
Let b(d) be the first derivative of 20/21*d**3 - 139 + 4/7*d**4 + 0*d**2 + 0*d - 4/35*d**5. Factor b(a).
-4*a**2*(a - 5)*(a + 1)/7
Let f = -718 - -719. Suppose 3*q = -374*k + 378*k - f, 29 = k + 5*q. What is v in -16/3 - 16*v - 8*v**3 - 52/3*v**2 - 4/3*v**k = 0?
-2, -1
Find z such that 11/7*z**2 - 1/7*z - 11/7 + 1/7*z**3 = 0.
-11, -1, 1
Let y(l) be the second derivative of 8/3*l**3 - 4/11*l**2 + 441/110*l**5 - 175/22*l**4 + 258*l - 2. Solve y(z) = 0.
2/21, 1
Let c(w) be the first derivative of -w**6/18 - w**5/5 + w**4/6 + 2*w**3/3 - w**2/6 - w + 709. Find f such that c(f) = 0.
-3, -1, 1
Let s = -25 + 22. Let f(d) = -d**3 + 4*d**2 + 7*d - 4. Let o be f(s). Factor o*j + 27*j**2 + 246*j**3 + 81 + 43*j - 243*j**3.
3*(j + 3)**3
Let 2*t**2 + 547575 - 30*t - 26*t - 547695 = 0. Calculate t.
-2, 30
Let h = -101129 - -585638037/5791. Let m = h + 104252/40537. Factor -2/7*q**2 + 12/7*q - m.
-2*(q - 3)**2/7
Let z(t) be the second derivative of t**5/90 - t**4/36 - 7*t**3/27 + t - 353. Solve z(x) = 0 for x.
-2, 0, 7/2
Let s = 156853/4 + -39212. Let j be 14/(-8)*9/(-21). Find l such that -s*l**2 - j + 1/4*l**3 + 7/4*l = 0.
1, 3
Let i be (-12861)/(-2) - (-3)/6. Factor -6*j**3 - i*j**2 + 6*j - 9*j**3 + 6440*j**2.
-3*j*(j - 1)*(5*j + 2)
Let z(s) be the third derivative of -s**8/1680 - s**7/35 + s**4/12 - 3*s**3/2 + 44*s**2 + 2. Let o(k) be the second derivative of z(k). Factor o(p).
-4*p**2*(p + 18)
Let l(x) = -x**3 - 2*x + 2*x**2 - 2 - x**2 + 3*x**2 + 0*x**2. Let w be l(2). Factor -3*n**3 + 6*n + 1 + 2*n**2 - 1 + n**w.
-3*n*(n - 2)*(n + 1)
Factor 7*d**3 - 124 + 0*d**3 + 51*d + 37*d - 8*d**3 + 28*d**2 + 9*d.
-(d - 31)*(d - 1)*(d + 4)
Let z(w) be the third derivative of 0 - 20*w**3 + 54*w**2 + 29/10*w**5 - 31/2*w**4 + 7/40*w**6 + 0*w. Factor z(f).
3*(f - 2)*(f + 10)*(7*f + 2)
Let z(b) be the first derivative of -4*b**5/5 - 3*b**4 + 352*b**3/3 + 360*b**2 - 7934. Factor z(x).
-4*x*(x - 9)*(x + 2)*(x + 10)
Let b be (-2)/(-6) + (-338)/78 - -29. Factor 5*h**3 + 15*h**2 + 4*h**2 - b*h**2 - h**4.
-h**2*(h - 3)*(h - 2)
Let z(q) be the first derivative of -q**4/12 - 5*q**3/6 + 3*q + 75. Let x(r) be the first derivative of z(r). Solve x(l) = 0 for l.
-5, 0
Factor 231868 - 5092/7*r**2 + 231140*r + 4/7*r**3.
4*(r - 637)**2*(r + 1)/7
Suppose 9*s + 0*s = 207. Let u = 57 - s. Factor 3*w**3 + 34*w - 7*w**4 - 4*w**2 - u*w + 13*w**3.
-w**2*(w - 2)*(7*w - 2)
Let -2*o**4 + 5893*o**3 + 1632*o - 2893*o**3 - 2882*o**3 - 848*o**2 = 0. Calculate o.
0, 4, 51
Let h(v) = v**3 - 27*v**2 - 30*v + 58. Suppose 4*w = -79 + 191. Let u be h(w). Factor 0 + 1/4*g - 1/4*g**u.
-g*(g - 1)/4
Let b(u) = -2*u**3 + 4*u**2 + 47*u - 2. Let a be b(-4). Let h(s) be the second derivative of 4/15*s**3 + 10*s + 1/30*s**4 + 0 + 4/5*s**a. Factor h(j).
2*(j + 2)**2/5
Let q(t) = -3808*t**2 - 3784*t + 80. Let m(g) = 3*g**2 + g - 6. Let c(x) = -14*m(x) - q(x). Suppose c(w) = 0. Calculate w.
-1, -2/1883
Find y such that -490 + 2*y**4 - 15*y**3 + 7*y**4 - 7*y**4 - 621*y - y**4 - 158 - 189*y**2 = 0.
-3, 24
Factor 25454*j**2 + 90*j + 160 + 25457*j**2 - 50906*j**2.
5*(j + 2)*(j + 16)
Let w = -2205 - -2205. Let r(c) be the second derivative of 2/21*c**3 - 1/70*c**5 - 1/35*c**6 - 1/147*c**7 + 12*c + 0*c**2 + w + 1/14*c**4. Solve r(j) = 0.
-2, -1, 0, 1
Let u be ((-1976)/234)/(-19)*(140/240 - (-1)/6). Factor -2*w + 0 - 5/3*w**2 + u*w**3.
w*(w - 6)*(w + 1)/3
Factor -2562*j**2 + 1264*j**2 + 1312*j**2 - 45*j + 28 + 3*j**3.
(j - 1)*(j + 7)*(3*j - 4)
Let b(o) = 15*o**2 + 37*o - 44. Let p be (-108)/14 + ((-12)/(-7))/(-6). Let z(s) = 5*s**2 + 12*s - 14. Let n(a) = p*z(a) + 3*b(a). Factor n(x).
5*(x - 1)*(x + 4)
Let s(g) be the third derivative of g**6/600 + 283*g**5/150 - 142*g**4/15 + 9609*g**2. Suppose s(c) = 0. Calculate c.
-568, 0, 2
Factor 0 + 25*u - 43/2*u**2 + 9/2*u**3.
u*(u - 2)*(9*u - 25)/2
Let f = 267 - 264. Find n, given that 20 + 3*n**4 + 123*n**3 - 6*n**2 + 36*n + 7 - 135*n**f = 0.
-1, 3
Let t = 142008/12187 - 141/1741. Factor 162/7*x**2 + t + 27*x + 13/7*x**4 + 66/7*x**3 + 1/7*x**5.
(x + 1)*(x + 3)**4/7
Suppose 8129*h - 8192*h + 693 = 0. Factor -h*z + 1/2*z**2 + 121/2.
(z - 11)**2/2
Let p(m) be the third derivative of -4*m**6/15 - 122*m**5/15 - 143*m**4/6 - 28*m**3 - 324*m**2 + m - 1. Let p(n) = 0. Calculate n.
-14, -3/4, -1/2
Let b be -10*(-8)/((-240)/33) + (-500)/(-44). What is a in -b + 18/11*a + 2/11*a**5 + 28/11*a**3 - 32/11*a**2 - 12/11*a**4 = 0?
1, 2
Let i(y) be the first derivative of 52*y**3/3 + 4554*y**2 + 1400*y - 1048. Find j such that i(j) = 0.
-175, -2/13
Let h(r) be the second derivative of r**5/480 + 5*r**4/48 - 7*r**3/16 - 41*r**2/2 - 82*r. Let v(y) be the first derivative of h(y). Factor v(o).
(o - 1)*(o + 21)/8
Let n = -15797 + 31607/2. Let i(v) be t