3.
-2*w*(w - 29)/3
Let -2*s**4 - 1444*s**3 - 347040*s**2 - 27646556*s + 27995042 = 0. Calculate s.
-241, 1
Determine p so that -4*p**5 + 164*p**4 + 696*p**3 + 1064*p**2 + 716*p + 180 = 0.
-1, 45
Factor 2*d**3/17 + 44*d**2/17 + 144*d/17.
2*d*(d + 4)*(d + 18)/17
Find i, given that -2*i**2/3 + 78*i - 6820/3 = 0.
55, 62
Factor 2*i**2/11 - 8*i/11 + 6/11.
2*(i - 3)*(i - 1)/11
Factor -2*a**3/7 - 538*a**2/7 - 536*a/7.
-2*a*(a + 1)*(a + 268)/7
Suppose 4*t**2 + 20*t - 24 = 0. What is t?
-6, 1
Factor -v**3/2 + 23*v**2/2 - 30*v.
-v*(v - 20)*(v - 3)/2
Factor 2*h**3/9 + 50*h**2/9 - 8*h/9 - 200/9.
2*(h - 2)*(h + 2)*(h + 25)/9
Factor -531*m**2/8 + 133*m - 1/2.
-(m - 2)*(531*m - 2)/8
Solve 2*j**2/13 + 688*j/13 + 59168/13 = 0.
-172
Find u such that 2*u**4/9 - 4*u**3/9 - 2*u**2 + 4*u = 0.
-3, 0, 2, 3
Determine v so that -v**3/3 + 59*v**2 + 544*v/3 - 240 = 0.
-4, 1, 180
Factor 2*t**2/5 - 26*t/5 - 136/5.
2*(t - 17)*(t + 4)/5
Factor 3*d**4 - 48*d**3 - 54*d**2 + 2640*d - 2541.
3*(d - 11)**2*(d - 1)*(d + 7)
Factor -t**3 + 29*t**2 + 201*t + 315.
-(t - 35)*(t + 3)**2
Solve 3*k**3 - 9*k**2 + 9*k - 3 = 0 for k.
1
Factor -4*h**4 + 76*h**3 - 448*h**2 + 624*h + 1152.
-4*(h - 8)*(h - 6)**2*(h + 1)
Suppose -2*w**2/5 - 9476*w/5 - 11224322/5 = 0. What is w?
-2369
Factor -3*v**2 + 15*v/2.
-3*v*(2*v - 5)/2
Let -5*y**3 + 95*y**2 - 520*y + 700 = 0. Calculate y.
2, 7, 10
Solve 3*q**4 + 93*q**3 + 840*q**2 + 1764*q = 0 for q.
-14, -3, 0
Solve -3*j**3 - 73*j**2 + 608*j - 372 = 0.
-31, 2/3, 6
Factor 6*g**2/7 - 4800*g/7 + 960000/7.
6*(g - 400)**2/7
Find v, given that v**4/8 - 5*v**3/8 - 3*v**2 - v/2 + 4 = 0.
-2, 1, 8
Suppose 4*z**5 + 52*z**4 + 268*z**3 + 684*z**2 + 864*z + 432 = 0. What is z?
-3, -2
Suppose -3*d**2/4 + 87*d - 2523 = 0. Calculate d.
58
Find r such that 3*r**4/7 + 60*r**3/7 + 51*r**2 + 696*r/7 + 396/7 = 0.
-11, -6, -2, -1
Factor 3*l**3/7 + 60*l**2/7 + 144*l/7 - 1728/7.
3*(l - 4)*(l + 12)**2/7
Factor -5*f**4 + 410*f**3 - 8805*f**2 + 16400*f - 8000.
-5*(f - 40)**2*(f - 1)**2
Let -2*d**2/9 + 14*d/9 = 0. Calculate d.
0, 7
Solve -3*h**3/2 - 45*h**2/2 - 21*h = 0 for h.
-14, -1, 0
Determine m so that 3*m**3 + 9*m**2 - 72*m - 240 = 0.
-4, 5
Suppose -21*y**4 - 309*y**3 - 708*y**2 - 276*y + 144 = 0. What is y?
-12, -2, -1, 2/7
Let 5*h**2 + 155*h/4 + 75 = 0. Calculate h.
-4, -15/4
Factor -2*t**2/5 + 316*t/5 - 624/5.
-2*(t - 156)*(t - 2)/5
Factor -r**2/5 + 18*r/5.
-r*(r - 18)/5
Determine a, given that a**5/2 - 17*a**4/2 + 93*a**3/2 - 187*a**2/2 + 79*a - 24 = 0.
1, 6, 8
Find w such that -4*w**5 + 20*w**4 + 4*w**3 - 116*w**2 + 48*w + 144 = 0.
-2, -1, 2, 3
Determine k so that 3*k**2 - 1026*k + 2040 = 0.
2, 340
Determine f so that 5*f**2 + 9550*f + 4560125 = 0.
-955
Factor 2*r**3 - 3620*r**2 - 2*r + 3620.
2*(r - 1810)*(r - 1)*(r + 1)
What is c in -c**2 + 21*c - 38 = 0?
2, 19
Factor 3*n**4 - 9*n**3 - 54*n**2 - 12*n + 72.
3*(n - 6)*(n - 1)*(n + 2)**2
Factor 3*a**3 + 411*a**2 - 1692*a.
3*a*(a - 4)*(a + 141)
Factor b**5 + 17*b**4 + 30*b**3 - 688*b**2 - 2432*b + 3072.
(b - 6)*(b - 1)*(b + 8)**3
Factor 5*v**4 - 90*v**3 + 180*v**2 + 2090*v + 1815.
5*(v - 11)**2*(v + 1)*(v + 3)
What is r in 5*r**4 + 75*r**3 + 395*r**2 + 825*r + 500 = 0?
-5, -4, -1
Solve 3*d**3 + 21*d**2 + 21*d - 45 = 0.
-5, -3, 1
Determine n, given that 4*n**2 - 2184*n + 6516 = 0.
3, 543
Suppose 4*b**3 - 40*b**2 - 68*b + 264 = 0. What is b?
-3, 2, 11
Factor -2*b**4/3 - 44*b**3/3 - 94*b**2 - 440*b/3 - 200/3.
-2*(b + 1)**2*(b + 10)**2/3
Suppose 5*f**5/2 + 70*f**4 + 570*f**3 + 800*f**2 - 4480*f = 0. What is f?
-14, -8, 0, 2
What is p in -2*p**2 + 28*p - 26 = 0?
1, 13
Factor u**3/4 - 31*u**2/2 - 193*u/4 - 65/2.
(u - 65)*(u + 1)*(u + 2)/4
Factor -2*y**2/11 - 14308*y/11 - 25589858/11.
-2*(y + 3577)**2/11
Factor -s**3/3 + 19*s**2/3 + 14*s.
-s*(s - 21)*(s + 2)/3
Find k, given that 5*k**3 + 8645*k**2 + 3741120*k + 3732480 = 0.
-864, -1
Factor -12*w**2/5 - 2*w.
-2*w*(6*w + 5)/5
Determine n so that -n**2/5 + 8*n - 35 = 0.
5, 35
Solve -s**2 - 17*s - 70 = 0.
-10, -7
Factor -i**3/4 + 6*i**2 - 41*i/4 - 33/2.
-(i - 22)*(i - 3)*(i + 1)/4
Factor -q**2 - 784*q - 153664.
-(q + 392)**2
Suppose 10*p**5 + 65*p**4 - 120*p**3 + 5*p**2 + 40*p = 0. Calculate p.
-8, -1/2, 0, 1
What is g in 4*g**3 - 12*g**2 - 976*g - 1872 = 0?
-13, -2, 18
Let -2*z**2 + 174*z - 504 = 0. What is z?
3, 84
Factor 6*a**3/23 + 38*a**2/23 + 12*a/23.
2*a*(a + 6)*(3*a + 1)/23
Find d such that -7*d**5/4 - 121*d**4/4 - 157*d**3/2 + 505*d**2 + 150*d = 0.
-10, -2/7, 0, 3
Let -a**3/2 - 3*a**2 - 5*a/2 + 6 = 0. Calculate a.
-4, -3, 1
Factor -23780*h**2 - 9472*h + 16.
-4*(5*h + 2)*(1189*h - 2)
Solve 3*t**3/5 + 8334*t**2/5 + 5787963*t/5 = 0.
-1389, 0
Factor -2*h**3 + 2*h.
-2*h*(h - 1)*(h + 1)
Determine f, given that -2*f**2 - 360*f + 1098 = 0.
-183, 3
What is r in r**3 + 33*r**2 + 191*r - 225 = 0?
-25, -9, 1
Factor 3*q**3/5 - 12*q/5.
3*q*(q - 2)*(q + 2)/5
Factor 2*c**5/7 - 6*c**4/7.
2*c**4*(c - 3)/7
Let -y**3/4 + 15*y**2/4 + 33*y/4 + 17/4 = 0. What is y?
-1, 17
Solve 6*q**4/5 + 66*q**3/5 + 114*q**2/5 + 54*q/5 = 0.
-9, -1, 0
Factor -21*p**3/8 + 27*p**2/8 - 3*p/4.
-3*p*(p - 1)*(7*p - 2)/8
Solve 3*b**3 - 63*b**2/5 - 63*b/5 + 3 = 0 for b.
-1, 1/5, 5
Find x, given that 15*x**5 - 215*x**4 - 1925*x**3 - 3625*x**2 - 1090*x + 840 = 0.
-4, -2, -1, 1/3, 21
Determine t, given that -3*t**3 - 96*t**2 - 975*t - 3042 = 0.
-13, -6
Suppose 2*q**3/9 + 22*q**2/3 + 242*q/3 + 2662/9 = 0. What is q?
-11
Let -2*a**5 - 7*a**4 - 2*a**3 + 3*a**2 = 0. Calculate a.
-3, -1, 0, 1/2
Solve g**5/3 - 10*g**4 + 17*g**3 + 146*g**2/3 - 56*g = 0 for g.
-2, 0, 1, 3, 28
Find p such that -3*p**5 - 15*p**4 + 54*p**3 + 174*p**2 - 435*p + 225 = 0.
-5, 1, 3
Factor k**2/5 - 36*k/5 + 99/5.
(k - 33)*(k - 3)/5
Let 3*n**5 + 171*n**4 + 2514*n**3 + 2016*n**2 - 4704*n = 0. What is n?
-28, -2, 0, 1
Factor 6*q**4 - 22*q**3 + 10*q**2 + 6*q.
2*q*(q - 3)*(q - 1)*(3*q + 1)
Suppose -4*a**2/7 + 496*a/7 - 976/7 = 0. What is a?
2, 122
Solve -3*n**3 - 741*n**2 - 2196*n = 0 for n.
-244, -3, 0
Factor 2*h**3/7 + 78*h**2/7.
2*h**2*(h + 39)/7
Factor -2*d**3/9 - 32*d**2/3 - 512*d/3 - 8192/9.
-2*(d + 16)**3/9
Find l such that -l**5/4 - 51*l**4/4 - 99*l**3/4 - 49*l**2/4 = 0.
-49, -1, 0
Determine k so that 4*k**3 + 924*k**2 + 51948*k - 164268 = 0.
-117, 3
Factor 15*d**4 - 111*d**3 - 72*d**2.
3*d**2*(d - 8)*(5*d + 3)
Factor 3*a**3/7 - 234*a**2/7 + 873*a/7 + 1110/7.
3*(a - 74)*(a - 5)*(a + 1)/7
Let 3*g**4 + 204*g**3 + 198*g**2 - 204*g - 201 = 0. What is g?
-67, -1, 1
Factor 3*x**2 + 7*x + 2.
(x + 2)*(3*x + 1)
Find r, given that -4*r**2 + 144*r - 140 = 0.
1, 35
Determine w so that -w**2/2 - 1213*w/2 + 1824 = 0.
-1216, 3
Determine s so that 338*s**3/3 - 130*s**2 + 18*s - 2/3 = 0.
1/13, 1
Suppose -5*h**3/4 - 5*h**2 - 5*h = 0. What is h?
-2, 0
Factor -4*k**2 - 78736*k - 387459856.
-4*(k + 9842)**2
Let -2*v**2 - 1214*v - 1212 = 0. Calculate v.
-606, -1
Factor 4*t**3 - 104*t**2 + 700*t - 600.
4*(t - 15)*(t - 10)*(t - 1)
Factor -l**5/6 - l**4 - 11*l**3/6 - l**2/3 + 2*l + 4/3.
-(l - 1)*(l + 1)*(l + 2)**3/6
Factor 5*a**2 + 3305*a + 6590.
5*(a + 2)*(a + 659)
What is g in -4*g**2 - 1056*g - 2096 = 0?
-262, -2
Let -w**2 + 78*w + 783 = 0. What is w?
-9, 87
Find w, given that w**4/3 - 5*w**3/3 - 89*w**2 - 453*w - 630 = 0.
-10, -3, 21
Determine l, given that -2*l**2 + 44*l - 42 = 0.
1, 21
Determine g, given that -12*g**4 - 417*g**3 - 4119*g**2 - 8160*g + 2304 = 0.
-16, -3, 1/4
What is d in 10*d**4 + 2165*d**3/2 + 6480*d**2 + 21465*d/2 + 2295 = 0?
-102, -3, -1/4
Determine a, given that 44*a**3 + 20*a**2 - 24*a = 0.
-1, 0, 6/11
Factor n**3/8 + 3*n**2/8 - n/2.
n*(n - 1)*(n + 4)/8
Suppose 2*u**2 - 510*u + 508 = 0. What is u?
1, 254
Find x, given that -x**4/2 - 5*x**3/2 - 9*x**2/2 - 7*x/2 - 1 = 0.
-2, -1
Factor -2*l**2/3 + 1154*l/3 - 1528.
-2*(l - 573)*(l - 4)/3
Find m, given that -5*m**3 + 865*m**2 - 37840*m + 36980 = 0.
1, 86
Suppose 2*j**2 + 76*j - 78 = 0. What is j?
-39, 1
Let -3*a**5 - 12*a**4 + 15*a**3 + 108*a**2 + 108*a = 0. Calculate a.
-3, -2, 0, 3
Suppose -c**5/5 + 31*c**4/5 - 379*c**3/5 + 457*c**2 - 1360*c + 1600 = 0. What is c?
5, 8
Factor 2*g**3/3 - 302*g**2/3.
2*g**2*(g - 151)/3
Let -q**4/2 + 8*q**3 - 85*q**2/2 + 75*q = 0. Calculate q.
0, 5, 6
Let -2*v**3 + 8*v**2 + 40*v - 96 = 0. What is v?
-4, 2, 6
Factor -162*c**2/17 + 1800*c/17 - 5000/17.
-2*(9*c - 50)**2/17
Facto