8*d/11.
-2*d*(d - 2)**2*(d + 21)/11
Find w such that 3*w**4 + 54*w**3 - 93*w**2 - 684*w = 0.
-19, -3, 0, 4
Determine l, given that -56*l**5 - 6*l**4 + 624*l**3 + 1064*l**2 + 480*l = 0.
-2, -5/4, -6/7, 0, 4
Solve 84*b**4 + 261*b**3 + 279*b**2 + 111*b + 9 = 0.
-1, -3/28
Suppose 26*x**4 + 56*x**3 + 30*x**2 = 0. What is x?
-15/13, -1, 0
Suppose -b**5 + 23*b**4 - 170*b**3 + 508*b**2 - 648*b + 288 = 0. Calculate b.
1, 2, 6, 12
Find g, given that -5*g**3 - 320*g**2 - 4785*g + 10890 = 0.
-33, 2
Suppose -4*c**4/3 + 32*c**3/3 - 8*c**2 - 32*c/3 + 28/3 = 0. Calculate c.
-1, 1, 7
Factor 2*z**4/7 + 64*z**3/7 + 230*z**2/7 + 24*z.
2*z*(z + 1)*(z + 3)*(z + 28)/7
Suppose 3*l**2 + 66*l - 144 = 0. Calculate l.
-24, 2
Let -12*p**4 - 100*p**3 - 216*p**2 - 48*p + 160 = 0. What is p?
-5, -2, 2/3
Factor 2*y**5 + 44*y**4 + 332*y**3 + 896*y**2 + 98*y - 1372.
2*(y - 1)*(y + 2)*(y + 7)**3
Solve -12*o**5 + 100*o**4 + 72*o**3 = 0 for o.
-2/3, 0, 9
What is v in 8*v**4/15 + 6*v**3/5 + 2*v**2/15 - 6*v/5 - 2/3 = 0?
-5/4, -1, 1
What is v in -3*v**2/2 - 45*v/2 + 114 = 0?
-19, 4
Factor h**2/5 - 2*h/5 - 16.
(h - 10)*(h + 8)/5
Factor 2*v**3/17 - 138*v**2/17 - 140*v/17.
2*v*(v - 70)*(v + 1)/17
Find h, given that -h**3/5 + 4*h**2/5 + 7*h/5 - 2 = 0.
-2, 1, 5
Determine b so that 4*b**5 + 48*b**4 + 84*b**3 + 40*b**2 = 0.
-10, -1, 0
Find x, given that 3*x**5 + 21*x**4 + 18*x**3 = 0.
-6, -1, 0
Solve -4*n**3/7 - 12*n**2 - 416*n/7 - 48 = 0.
-14, -6, -1
Factor -w**4 + 290*w**3 - 27936*w**2 + 884446*w + 912673.
-(w - 97)**3*(w + 1)
Factor u**3/2 + 11*u**2 + 62*u + 84.
(u + 2)*(u + 6)*(u + 14)/2
Find w such that -2*w**4/15 + 2*w**3/3 - 2*w**2/5 - 6*w/5 = 0.
-1, 0, 3
Suppose c**3/9 + 26*c**2/9 + 16*c/3 = 0. What is c?
-24, -2, 0
Factor 4*q**2/7 - 88*q/7.
4*q*(q - 22)/7
What is c in -2*c**5/5 - 106*c**4/5 - 1232*c**3/5 + 4696*c**2/5 - 448*c/5 - 6272/5 = 0?
-28, -1, 2
Determine f so that f**5 - 3*f**3 - 2*f**2 = 0.
-1, 0, 2
Factor 4*k**3/7 - 164*k**2/7 - 176*k/7 + 48.
4*(k - 42)*(k - 1)*(k + 2)/7
Determine m so that 2*m**2/3 + 134*m/3 = 0.
-67, 0
Find d, given that 15*d**5 + 9*d**4 - 21*d**3 - 9*d**2 + 6*d = 0.
-1, 0, 2/5, 1
Solve -2*g**5 + 110*g**4 - 290*g**3 - 1150*g**2 + 292*g + 1040 = 0 for g.
-2, -1, 1, 5, 52
What is u in -5*u**2 + 1690*u - 142805 = 0?
169
Determine s so that 22*s**2/3 - 160*s + 126 = 0.
9/11, 21
Factor -3*k**3/2 + 15*k**2/2 + 3948*k + 71736.
-3*(k - 61)*(k + 28)**2/2
Let -4*c**3/13 - 58*c**2/13 + 4960*c/13 + 2494/13 = 0. What is c?
-43, -1/2, 29
What is d in -3*d**2/5 + 18*d/5 + 48/5 = 0?
-2, 8
Factor 2*c**2/7 + 102*c/7 + 100/7.
2*(c + 1)*(c + 50)/7
Find b such that -b**5 - 26*b**4 + 114*b**3 - 176*b**2 + 119*b - 30 = 0.
-30, 1
Let -4*d**5/9 - 200*d**4/9 + 68*d**3/3 = 0. Calculate d.
-51, 0, 1
Determine c, given that c**2/7 - 45*c/7 = 0.
0, 45
Factor h**3/3 - 7*h**2/3 - 953*h/3 - 315.
(h - 35)*(h + 1)*(h + 27)/3
Let -2*d**4/3 + 68*d**3/3 + 24*d**2 - 68*d/3 - 70/3 = 0. Calculate d.
-1, 1, 35
Factor l**3/2 + 41*l**2/2 - 88*l + 90.
(l - 2)**2*(l + 45)/2
Suppose -2*c**4 - 238*c**3 + 6*c**2 + 718*c + 476 = 0. Calculate c.
-119, -1, 2
Factor -3*w**2 + 360*w - 1725.
-3*(w - 115)*(w - 5)
Factor -3*l**2 + 252*l - 5292.
-3*(l - 42)**2
Factor v**3/8 + 71*v**2/2 - v/8 - 71/2.
(v - 1)*(v + 1)*(v + 284)/8
Suppose 27*t**4 - 1032*t**3 - 3093*t**2 + 738*t = 0. Calculate t.
-3, 0, 2/9, 41
Suppose -32*i**4 - 226*i**3 - 526*i**2 - 416*i - 24 = 0. Calculate i.
-3, -2, -1/16
Find q such that 5*q**4 + 50*q**3 - 115*q**2 + 60*q = 0.
-12, 0, 1
Determine i so that -i**5 + 18*i**4/5 - 12*i**3/5 - 8*i**2/5 = 0.
-2/5, 0, 2
What is r in r**3/5 + 38*r**2/5 + 307*r/5 + 54 = 0?
-27, -10, -1
Suppose -3*k**3/4 + 3*k**2/4 + 3*k/4 - 3/4 = 0. What is k?
-1, 1
Let g**5/10 - 3*g**4/5 + g**3/2 = 0. What is g?
0, 1, 5
Factor -4*l**4 - 72*l**3 - 132*l**2 - 64*l.
-4*l*(l + 1)**2*(l + 16)
Find d such that -15*d**4 - 20*d**3 + 145*d**2 - 70*d - 40 = 0.
-4, -1/3, 1, 2
Find s such that -15*s**4 - 102*s**3 + 36*s**2 + 102*s - 21 = 0.
-7, -1, 1/5, 1
Factor -2*r**3/5 - 154*r**2/5 - 278*r - 670.
-2*(r + 5)**2*(r + 67)/5
Suppose 70*x**5 + 862*x**4 + 1722*x**3 + 1018*x**2 - 32*x - 120 = 0. Calculate x.
-10, -1, -3/5, 2/7
Factor 2*p**3/5 - 24*p**2/5 + 22*p/5.
2*p*(p - 11)*(p - 1)/5
Let 2*b**3 + 2932*b**2 + 5858*b + 2928 = 0. What is b?
-1464, -1
Factor 4*c**3 - 112*c**2 - 116*c.
4*c*(c - 29)*(c + 1)
Solve 10*f**4/17 - 86*f**3/17 - 8*f**2 - 40*f/17 = 0.
-1, -2/5, 0, 10
Suppose -3*t**3 + 39*t**2 + 195*t + 153 = 0. What is t?
-3, -1, 17
Factor -3*l**2/5 - 24*l - 333/5.
-3*(l + 3)*(l + 37)/5
Factor -3*x**3 - 81*x**2 - 153*x - 75.
-3*(x + 1)**2*(x + 25)
Factor -20*g**2 - 8*g + 12.
-4*(g + 1)*(5*g - 3)
Factor 2*o**4/5 - 24*o**3/5 - 86*o**2/5 - 12*o.
2*o*(o - 15)*(o + 1)*(o + 2)/5
Factor -3*x**3/8 + 51*x**2/8 - 30*x + 24.
-3*(x - 8)**2*(x - 1)/8
Solve 5*p**4/4 + 50*p**3 + 1625*p**2/4 + 1875*p/2 = 0 for p.
-30, -5, 0
Factor -n**2/4 - 101*n/12 + 17/6.
-(n + 34)*(3*n - 1)/12
Factor 9*j**3 - 2396*j**2 + 159733*j - 35378.
(j - 133)**2*(9*j - 2)
Suppose 3*r**3 - 1998*r**2 + 443556*r - 32823144 = 0. Calculate r.
222
Factor 3*b**4/2 + 45*b**3 + 450*b**2 + 1500*b.
3*b*(b + 10)**3/2
What is l in -4*l**5 - 2140*l**4 + 4296*l**3 - 8*l**2 - 4292*l + 2148 = 0?
-537, -1, 1
Factor 5*n**3 - 40*n**2 - 95*n - 50.
5*(n - 10)*(n + 1)**2
Solve 2*c**4 + 6*c**3 - 74*c**2 + 66*c + 144 = 0.
-8, -1, 3
Factor g**3/3 + 35*g**2/3 - 73*g/3 + 37/3.
(g - 1)**2*(g + 37)/3
Find u such that 4*u**3 + 400*u**2 + 788*u + 392 = 0.
-98, -1
Factor u**3/2 - 1159*u**2/2 + 336399*u/2 - 335241/2.
(u - 579)**2*(u - 1)/2
Suppose -2*z**3 + 292*z**2 - 10658*z = 0. Calculate z.
0, 73
Factor -3*f**3/5 - 3*f**2/5 + 78*f/5 - 72/5.
-3*(f - 4)*(f - 1)*(f + 6)/5
Find f, given that -4*f**2/11 - 34*f - 186/11 = 0.
-93, -1/2
Factor 33*i**3 - 60*i**2 - 12*i.
3*i*(i - 2)*(11*i + 2)
Suppose -659*o**2/2 + 1321*o/2 - 3 = 0. What is o?
3/659, 2
Find b, given that 4*b**4/3 - 4*b**3 - 96*b**2 - 704*b/3 = 0.
-4, 0, 11
Suppose -n**5/3 - 11*n**4 - 286*n**3/3 - 64*n**2 + 512*n/3 = 0. What is n?
-16, -2, 0, 1
Factor -12*t**2 + 56*t - 60.
-4*(t - 3)*(3*t - 5)
Suppose -4*m**2 - 108*m - 288 = 0. Calculate m.
-24, -3
Suppose 3*s**5/10 - 67*s**4/10 + 49*s**3 - 129*s**2 + 1107*s/10 - 243/10 = 0. What is s?
1/3, 1, 3, 9
Factor 2*y**2 + 1012*y + 1010.
2*(y + 1)*(y + 505)
What is h in h**5/7 + 5*h**4/7 - 6*h**3/7 = 0?
-6, 0, 1
Suppose -5*f**4 - 135*f**3 - 655*f**2 - 465*f + 1260 = 0. What is f?
-21, -4, -3, 1
Factor t**4/7 + 18*t**3/7 - 3*t**2/7 - 52*t/7 + 36/7.
(t - 1)**2*(t + 2)*(t + 18)/7
Find w, given that -2*w**2/7 + 2048*w/7 - 524288/7 = 0.
512
Factor 3*v**2 + 255*v - 6300.
3*(v - 20)*(v + 105)
Let 2*h**4 - 20*h**3 - 382*h**2 - 360*h = 0. What is h?
-9, -1, 0, 20
Factor 5*b**3 - 105*b**2 + 475*b + 585.
5*(b - 13)*(b - 9)*(b + 1)
Let -21*t**3/8 + 69*t**2/8 + 24*t - 15/2 = 0. Calculate t.
-2, 2/7, 5
Find i such that 3*i**3 + 105*i**2 + 201*i + 99 = 0.
-33, -1
Let -4*f**2 - 28*f - 48 = 0. What is f?
-4, -3
Factor o**2/4 + o/4 - 1/2.
(o - 1)*(o + 2)/4
Determine d, given that -18*d**5/11 - 346*d**4/11 + 302*d**3/11 + 426*d**2/11 - 284*d/11 - 80/11 = 0.
-20, -1, -2/9, 1
Factor -6*n**2/7 + 600*n/7 - 594/7.
-6*(n - 99)*(n - 1)/7
What is p in -125*p**5 - 24100*p**4 - 1147085*p**3 + 1399718*p**2 - 562988*p + 75272 = 0?
-97, 2/5
Factor 2*h**2/3 - 1336*h/3 + 223112/3.
2*(h - 334)**2/3
Factor o**3 - 52*o**2 - 165*o.
o*(o - 55)*(o + 3)
Factor 2*x**2/5 - 2/5.
2*(x - 1)*(x + 1)/5
Factor 5*h**2/3 + 55*h + 310/3.
5*(h + 2)*(h + 31)/3
Find z such that 7*z**4/3 - 95*z**3 + 1277*z**2 - 16627*z/3 - 1690 = 0.
-2/7, 13, 15
Find t such that -3*t**5/4 - 21*t**4/4 - 33*t**3/4 + 57*t**2/4 + 45*t + 27 = 0.
-3, -2, -1, 2
Factor 5*g**3 + 675*g**2 + 30375*g + 455625.
5*(g + 45)**3
Let 28*l**4 - 64*l**3 - 404*l**2 + 120*l = 0. What is l?
-3, 0, 2/7, 5
Solve l**5/5 + 4*l**4/5 - 3*l**3/5 - 14*l**2/5 - 8*l/5 = 0.
-4, -1, 0, 2
Factor 4*z**3 + 164*z**2 + 312*z.
4*z*(z + 2)*(z + 39)
Factor 2*q**5/7 - 20*q**4/7 + 60*q**3/7 - 80*q**2/7 + 50*q/7 - 12/7.
2*(q - 6)*(q - 1)**4/7
Determine m so that -6*m**4/5 + 51*m**3/5 - 102*m**2/5 + 15*m - 18/5 = 0.
1/2, 1, 6
Suppose -8*l**5 - 86*l**4/5 + 272*l**3/5 - 22*l**2 - 52*l/5 + 16/5 = 0. What is l?
-4, -2/5, 1/4, 1
Find x, given that x**3/4 + 121*x**2/4 + 1036*x + 7056 = 0.
-56, -9
Find v such that -16*v*