(t - 30)**2/3
Factor 35*w**2 + 9725*w - 1390.
5*(w + 278)*(7*w - 1)
Determine t so that -3*t**3 + 369*t**2 - 15129*t + 206763 = 0.
41
Factor -u**4/3 - 19*u**3/3 + 27*u**2 + 585*u - 1800.
-(u - 8)*(u - 3)*(u + 15)**2/3
Find o, given that 2*o**2/7 - 6*o/7 - 108/7 = 0.
-6, 9
Let -3*f**3/5 + 42*f**2/5 + 21*f - 144/5 = 0. Calculate f.
-3, 1, 16
Factor 3*r**3 + 72*r**2 + 69*r.
3*r*(r + 1)*(r + 23)
Solve 2*h**4 + 5*h**3 - 14*h**2 - 8*h = 0 for h.
-4, -1/2, 0, 2
Determine u, given that u**5 - 8*u**4 + 13*u**3 - 6*u**2 = 0.
0, 1, 6
What is a in -2*a**3 + 38*a**2 - 36*a = 0?
0, 1, 18
Find s, given that 22*s**3/5 - 92*s**2/5 + 82*s/5 - 12/5 = 0.
2/11, 1, 3
Solve -4*v**2/5 - 733*v/5 - 183/5 = 0.
-183, -1/4
Factor 2*j**4/17 + 20*j**3/17 - 256*j**2/17 + 576*j/17.
2*j*(j - 4)**2*(j + 18)/17
Factor -w**3 - 69*w**2 + 694*w - 624.
-(w - 8)*(w - 1)*(w + 78)
Determine a, given that 49*a**4/8 - 7*a**3/8 - 5*a**2 + 2*a = 0.
-1, 0, 4/7
Factor -40*o**5 - 52*o**4 - 12*o**3.
-4*o**3*(o + 1)*(10*o + 3)
Find y, given that 2*y**5/25 - 8*y**3/25 = 0.
-2, 0, 2
Factor 2*j**4/7 + 162*j**3 - 1136*j**2/7.
2*j**2*(j - 1)*(j + 568)/7
Let 3*w**2 - 126*w + 1323 = 0. What is w?
21
Solve 2*o**2/3 + 16*o - 104/3 = 0.
-26, 2
Solve m**3/2 - 189*m**2/2 + 187*m = 0 for m.
0, 2, 187
Factor -w**3/4 + 105*w**2/4.
-w**2*(w - 105)/4
Factor -2*t**2/9 + 1214*t/9 - 2420/9.
-2*(t - 605)*(t - 2)/9
What is i in 14*i**5/5 - 248*i**4/5 - 86*i**3/5 + 248*i**2/5 + 72*i/5 = 0?
-1, -2/7, 0, 1, 18
Find f such that -3*f**2/4 - 357*f/2 + 717/4 = 0.
-239, 1
Find l such that 3*l**3 - 51*l**2 + 114*l + 168 = 0.
-1, 4, 14
Determine v so that -3*v**2 - 15*v + 18 = 0.
-6, 1
Factor -s**2 - 5*s - 6.
-(s + 2)*(s + 3)
Solve 3*m**4/8 - 123*m**3/8 - 66*m**2 - 135*m/2 = 0.
-2, 0, 45
Determine v so that -2*v**3/3 - 26*v**2/3 + 112*v = 0.
-21, 0, 8
Suppose -10*f**4 - 125*f**3 - 295*f**2 + 180*f = 0. What is f?
-9, -4, 0, 1/2
Factor -15*c**3 + 5*c**2 + 10*c.
-5*c*(c - 1)*(3*c + 2)
Find i, given that 3*i**4/4 + 12*i**3 + 63*i**2/2 + 30*i + 39/4 = 0.
-13, -1
Solve -28*w**5 - 172*w**4 - 412*w**3 - 484*w**2 - 280*w - 64 = 0.
-2, -8/7, -1
Factor -y**4/6 + 7*y**3/6 + 9*y**2/2 + 29*y/6 + 5/3.
-(y - 10)*(y + 1)**3/6
Factor -k**2 - 6311*k.
-k*(k + 6311)
Factor -5*h**4 - 955*h**3 - 950*h**2.
-5*h**2*(h + 1)*(h + 190)
Suppose 4*j**2 + 192*j + 188 = 0. Calculate j.
-47, -1
What is p in -3*p**3/7 - 51*p**2/7 - 120*p/7 + 900/7 = 0?
-10, 3
Solve -l**2/7 - 338*l/7 - 28561/7 = 0 for l.
-169
What is n in -n**5 + 34*n**3 - 92*n**2 + 87*n - 28 = 0?
-7, 1, 4
Factor -x**2/2 - 39*x/2 - 169.
-(x + 13)*(x + 26)/2
Determine s, given that 2*s**3/5 - 2*s**2 - 64*s/5 - 72/5 = 0.
-2, 9
Solve 4*s**4 - 276*s**3 + 4320*s**2 + 15552*s = 0 for s.
-3, 0, 36
Solve a**2/8 - 15*a = 0 for a.
0, 120
Factor 4*s**4 - 48*s**3 + 176*s**2 - 192*s.
4*s*(s - 6)*(s - 4)*(s - 2)
Let -2*a**2/9 - 992*a/9 - 123008/9 = 0. Calculate a.
-248
Factor p**3/4 - 61*p**2/4 + 1219*p/4 - 7935/4.
(p - 23)**2*(p - 15)/4
Factor 10*y**3 + 494*y**2 - 824*y - 408.
2*(y - 2)*(y + 51)*(5*y + 2)
Factor -n**2 - 1042*n - 271441.
-(n + 521)**2
Factor d**3 + 4*d**2 - 31*d - 70.
(d - 5)*(d + 2)*(d + 7)
Determine x, given that 196*x**3 - 476*x**2 - 320*x - 48 = 0.
-2/7, 3
Find n, given that -4*n**2/3 + 8*n - 32/3 = 0.
2, 4
Factor 2*g**3 + 128*g**2 + 598*g + 472.
2*(g + 1)*(g + 4)*(g + 59)
Solve -t**3/4 - 17*t**2 + 1231*t/4 - 581/2 = 0 for t.
-83, 1, 14
Let 5*n**5 - 85*n**4 + 65*n**3 + 265*n**2 - 410*n + 160 = 0. Calculate n.
-2, 1, 16
Solve -4*l**5/9 + 32*l**3/9 - 8*l**2/3 - 28*l/9 + 8/3 = 0.
-3, -1, 1, 2
Find y such that 2*y**2/7 + 18*y/7 - 20/7 = 0.
-10, 1
Suppose -27*i**4 - 720*i**3 + 258*i**2 + 408*i + 81 = 0. Calculate i.
-27, -1/3, 1
Determine b, given that -5*b**4 + 135*b**3 - 1050*b**2 + 500*b + 15000 = 0.
-3, 10
Solve 4*k**4 + 224*k**3 - 232*k**2 - 224*k + 228 = 0.
-57, -1, 1
Suppose -3*i**2 + 450*i = 0. What is i?
0, 150
Factor -g**2 - 169*g + 342.
-(g - 2)*(g + 171)
Factor 5*w**4 - 45*w**3 - 3205*w**2 + 33345*w + 180500.
5*(w - 19)**2*(w + 4)*(w + 25)
Suppose -5*o**5/3 + 1148*o**4/3 + 2785*o**3/3 - 220*o**2/3 - 2780*o/3 - 928/3 = 0. Calculate o.
-2, -1, -2/5, 1, 232
Let -2*q**2/9 - 868*q/9 - 192 = 0. Calculate q.
-432, -2
Find z such that 5*z**2 - 140*z + 135 = 0.
1, 27
Suppose 4*y**5 - 40*y**4 + 128*y**3 - 152*y**2 + 60*y = 0. What is y?
0, 1, 3, 5
Factor a**3 - 76*a**2 - 159*a + 234.
(a - 78)*(a - 1)*(a + 3)
Factor -65*h**3 - 8055*h**2 - 249240*h + 19220.
-5*(h + 62)**2*(13*h - 1)
Let -a**4/2 + 5*a**3 - 29*a**2/2 + 16*a - 6 = 0. Calculate a.
1, 2, 6
Factor y**2 - 63*y.
y*(y - 63)
Find t, given that 5*t**4 - 15*t**3 - 110*t**2 + 120*t = 0.
-4, 0, 1, 6
What is b in 4*b**2 + 36*b = 0?
-9, 0
Factor f**4/3 - f**3 + 4*f/3.
f*(f - 2)**2*(f + 1)/3
Factor -l**2 + 20*l.
-l*(l - 20)
Suppose -x**2/2 + 35*x/6 + 26/3 = 0. What is x?
-4/3, 13
Solve 2*i**4/5 + 172*i**3/5 + 4586*i**2/5 + 38184*i/5 + 98568/5 = 0.
-37, -6
Factor 2*d**4 - 884*d**3 + 129648*d**2 - 6220736*d - 12967168.
2*(d - 148)**3*(d + 2)
Solve -8*y**4 - 149*y**3 + 217*y**2 - 60*y = 0 for y.
-20, 0, 3/8, 1
Factor -w**4/6 + w**3/2 + 2*w**2 - 10*w/3 - 8.
-(w - 4)*(w - 3)*(w + 2)**2/6
Solve 2*y**2/5 - 338*y/5 + 3476/5 = 0.
11, 158
Factor -20*w**2 - 101*w - 5.
-(w + 5)*(20*w + 1)
Suppose z**3 - 231*z**2 + 13224*z + 13456 = 0. Calculate z.
-1, 116
Factor -s**3/3 - 10*s**2/3 - 25*s/3.
-s*(s + 5)**2/3
Find s such that -3*s**3 + 15*s**2 + 171*s + 297 = 0.
-3, 11
Factor -j**2/5 + 74*j/5 - 144/5.
-(j - 72)*(j - 2)/5
Solve -z**3 + 10*z**2 - 9*z = 0.
0, 1, 9
Factor -12*c**3 + 220*c**2 + 152*c.
-4*c*(c - 19)*(3*c + 2)
Factor 3*n**4/7 - 15*n**3/7 - 75*n**2/7 + 375*n/7.
3*n*(n - 5)**2*(n + 5)/7
Factor 2*r**5 + 14*r**4 - 4*r**3 - 92*r**2 + 130*r - 50.
2*(r - 1)**3*(r + 5)**2
Find q such that -5*q**3/4 - 335*q**2/4 + 1445*q/4 + 1775/4 = 0.
-71, -1, 5
Factor n**5 - 21*n**4 + 118*n**3 - 60*n**2 - 200*n.
n*(n - 10)**2*(n - 2)*(n + 1)
Factor -4*h**3 - 56*h**2 - 160*h.
-4*h*(h + 4)*(h + 10)
Find x, given that -5*x**4 - 45*x**3 + 915*x**2 - 755*x - 1710 = 0.
-19, -1, 2, 9
Suppose -2*j**4 + 1570*j**3 - 308896*j**2 + 307328*j = 0. Calculate j.
0, 1, 392
Factor 22*f**2/13 - 38*f/13 - 60/13.
2*(f + 1)*(11*f - 30)/13
Find f such that -f**3/3 + 1153*f**2/3 + 2309*f/3 + 385 = 0.
-1, 1155
Suppose -44*u**4/3 - 17*u**3/3 + 26*u**2 + 31*u/3 - 20/3 = 0. Calculate u.
-1, 4/11, 5/4
Factor -5*z**2/4 + z.
-z*(5*z - 4)/4
Suppose 36*r**5/7 + 1934*r**4/7 - 8788*r**3/7 + 8338*r**2/7 - 824*r/7 - 696/7 = 0. What is r?
-58, -2/9, 1/2, 1, 3
Solve -3*a**5 - 3*a**4 + 18*a**3 - 6*a**2 - 15*a + 9 = 0 for a.
-3, -1, 1
Factor 3*x**4/2 - 723*x**3/2 + 1437*x**2/2 - 717*x/2.
3*x*(x - 239)*(x - 1)**2/2
Suppose -y**3 - 74*y**2 = 0. What is y?
-74, 0
Factor -5*b**2 + 2340*b - 4660.
-5*(b - 466)*(b - 2)
Factor l**2/2 + 11*l/2 + 12.
(l + 3)*(l + 8)/2
Determine b so that 2*b**5/7 + 110*b**4/7 - 226*b**3/7 + 114*b**2/7 = 0.
-57, 0, 1
Factor 3*f**5 - f**4 - 2*f**3.
f**3*(f - 1)*(3*f + 2)
What is h in -5*h**4 - 182*h**3 - 1692*h**2 - 648*h = 0?
-18, -2/5, 0
Determine c so that 20*c**5 - 425*c**4 + 105*c**3 = 0.
0, 1/4, 21
Find r such that -2*r**2/3 + 16*r/3 - 14/3 = 0.
1, 7
Factor -5*x**2 + 35*x - 30.
-5*(x - 6)*(x - 1)
Factor -2*t**3/11 - 496*t**2/11 + 998*t/11 - 500/11.
-2*(t - 1)**2*(t + 250)/11
Solve -4*n**3 - 420*n**2 + 852*n - 428 = 0 for n.
-107, 1
Factor 2*n**4/7 - 88*n**3/7 + 1052*n**2/7 - 264*n + 126.
2*(n - 21)**2*(n - 1)**2/7
Factor -3*c**2 + 39*c + 504.
-3*(c - 21)*(c + 8)
What is q in -5*q**5/6 - 29*q**4/6 - 19*q**3/6 + 125*q**2/6 + 26*q - 6 = 0?
-3, -2, 1/5, 2
Suppose -3*x**4 + 99*x**3 - 513*x**2 - 5415*x = 0. What is x?
-5, 0, 19
Factor 3*l**4/5 - 42*l**3/5 + 48*l**2/5 + 288*l/5.
3*l*(l - 12)*(l - 4)*(l + 2)/5
Factor -2*l**3/5 - 1832*l**2/5 - 419528*l/5.
-2*l*(l + 458)**2/5
Suppose -7*v**3/3 - 17*v**2/3 + 5*v + 3 = 0. What is v?
-3, -3/7, 1
Factor w**2 - 73*w/3 - 50/3.
(w - 25)*(3*w + 2)/3
Solve 6*z**2 - 15*z - 9 = 0 for z.
-1/2, 3
Factor 2*f**2 - 32*f + 78.
2*(f - 13)*(f - 3)
Factor o**2/5 + 1430*o + 2556125.
(o + 3575)**2/5
Let w**4 - 4*w**3 - 7*w**2 + 10*w = 0. What is w?
-2, 0, 1, 5
Factor 2*t**2/13 + 1254*t/13 + 1252/13.
2*(t + 1)*(t + 626)/13
Suppose 5*y**2 - 60*y - 65 = 0. What is y?
-1, 13
Let x**5 + 330*x**4 + 26558*x**3 - 109888*x**2 + 138777*x - 55778 = 0. Calculate x.
-1