- 38*f**4/3 + 3133*f**3/9 + 2204*f**2/3 + 3364*f/9 = 0. Calculate f.
-1, 0, 58
Factor -3*y**4/7 - 18*y**3/7 - 36*y**2/7 - 24*y/7.
-3*y*(y + 2)**3/7
What is r in r**2 + 78*r + 1521 = 0?
-39
Determine t, given that 8*t**4/3 - 100*t**3/3 + 224*t**2/3 + 100*t - 144 = 0.
-3/2, 1, 4, 9
Determine z, given that 2*z**4 + 22*z**3 - 24*z**2 = 0.
-12, 0, 1
Factor w**2 + 78*w + 1521.
(w + 39)**2
Find j, given that -363*j**3 + 7128*j**2 + 2628*j + 240 = 0.
-2/11, 20
Suppose -m**3 - 39*m**2 - 315*m + 1323 = 0. Calculate m.
-21, 3
Factor -3*n**5 + 6*n**4 - 6*n**2 + 3*n.
-3*n*(n - 1)**3*(n + 1)
Determine h so that -h**3/6 - 3*h**2/2 - 9*h/2 - 9/2 = 0.
-3
Factor 4*f**5 - 20*f**4 - 24*f**3 + 128*f**2 + 128*f.
4*f*(f - 4)**2*(f + 1)*(f + 2)
Factor -3*l**4 + 378*l**3 - 11523*l**2 - 24192*l - 12288.
-3*(l - 64)**2*(l + 1)**2
Factor 3*x**2 - 294*x - 297.
3*(x - 99)*(x + 1)
Let -4*p**3 - 92*p**2 + 4*p + 92 = 0. Calculate p.
-23, -1, 1
What is h in 2*h**5/7 - 50*h**4 + 348*h**3/7 = 0?
0, 1, 174
Factor -4*u**2 + 16*u + 20.
-4*(u - 5)*(u + 1)
Suppose -4*w**2/5 + 12*w/5 + 112/5 = 0. Calculate w.
-4, 7
Factor 5*f**2 - 2220*f + 246420.
5*(f - 222)**2
Determine t, given that 2*t**5 - 54*t**3 + 108*t**2 = 0.
-6, 0, 3
Solve 2*n**3/3 + 16*n**2/3 + 14*n/3 = 0 for n.
-7, -1, 0
Solve -2*y**3 + 14*y**2 - 8*y - 24 = 0 for y.
-1, 2, 6
Factor -n**2/4 - 501*n/4 - 747/2.
-(n + 3)*(n + 498)/4
Factor 3*r**2/7 - 12*r/7 - 15/7.
3*(r - 5)*(r + 1)/7
Let -2*n**3/3 + 10*n**2 - 28*n/3 = 0. Calculate n.
0, 1, 14
Determine g so that 15*g**4 + 126*g**3 - 261*g**2 - 192*g + 180 = 0.
-10, -1, 3/5, 2
Let -8*q**5/9 - 1082*q**4/9 + 4178*q**3/9 + 1112*q**2/9 = 0. Calculate q.
-139, -1/4, 0, 4
Factor -3*w**3/2 - 7341*w**2/2 + 7347*w.
-3*w*(w - 2)*(w + 2449)/2
Factor 5*b**2 - 380*b + 7220.
5*(b - 38)**2
Let 4*d**5/5 - 8*d**4 + 24*d**3 - 16*d**2 - 124*d/5 + 24 = 0. What is d?
-1, 1, 2, 3, 5
Factor 4*q**4 - 4*q**3 - 28*q**2 + 52*q - 24.
4*(q - 2)*(q - 1)**2*(q + 3)
Find t, given that -3*t**5 - 9*t**4 + 21*t**3 + 21*t**2 - 54*t + 24 = 0.
-4, -2, 1
Suppose -10*b**4 - 98*b**3 - 768*b**2/5 - 392*b/5 - 64/5 = 0. What is b?
-8, -1, -2/5
Determine d so that 51*d**4 + 60*d**3 - 33*d**2 - 42*d = 0.
-1, 0, 14/17
Factor -i**3/5 + 4*i/5.
-i*(i - 2)*(i + 2)/5
Factor 2*l**2 - 738*l - 1484.
2*(l - 371)*(l + 2)
What is v in -2*v**2/3 - 176*v/3 - 3872/3 = 0?
-44
Factor 2*p**3/7 + 8*p**2/7 + 2*p/7 - 12/7.
2*(p - 1)*(p + 2)*(p + 3)/7
Determine s, given that -7*s**3/3 - 9*s**2 + 328*s - 140/3 = 0.
-14, 1/7, 10
Factor 2*z**3/9 - 52*z**2/9 - 58*z/9 + 12.
2*(z - 27)*(z - 1)*(z + 2)/9
Determine a, given that -3*a**5/4 - 387*a**4/4 - 6333*a**3/2 - 2880*a**2 + 6144*a = 0.
-64, -2, 0, 1
Determine v, given that 6*v**4 + 297*v**3 - 174*v**2 - 1188*v + 600 = 0.
-50, -2, 1/2, 2
Factor -8*d**2/11 - 1554*d/11 - 388/11.
-2*(d + 194)*(4*d + 1)/11
Suppose 4*t**4 + 244*t**3 + 236*t**2 - 244*t - 240 = 0. What is t?
-60, -1, 1
Find b such that 31*b**2 - 39*b + 8 = 0.
8/31, 1
Determine f, given that -2*f**5 - 64*f**4/3 - 62*f**3/3 + 292*f**2/3 + 344*f/3 - 48 = 0.
-9, -2, 1/3, 2
Factor 3*g**4/4 + 21*g**3/4 - 27*g**2/4 - 189*g/4.
3*g*(g - 3)*(g + 3)*(g + 7)/4
Determine k, given that -5*k**3 - 155*k**2 + 325*k - 165 = 0.
-33, 1
Suppose x**3/2 + 425*x**2/2 - 2581*x/2 + 2155/2 = 0. Calculate x.
-431, 1, 5
Let -q**3/6 + q**2/6 + q/3 = 0. Calculate q.
-1, 0, 2
What is l in 4*l**3/3 - 604*l**2/3 - 2464*l/3 - 2480/3 = 0?
-2, 155
Factor 3*t**2/4 - 24*t + 261/4.
3*(t - 29)*(t - 3)/4
Let -p**2 - 131*p + 132 = 0. Calculate p.
-132, 1
Suppose -48*q**3 - 865*q**2 - 1554*q - 32 = 0. What is q?
-16, -2, -1/48
Factor 4*b**3 + 20*b**2 - 4*b - 20.
4*(b - 1)*(b + 1)*(b + 5)
Factor 729*j**5 + 972*j**4 - 864*j**3 + 208*j**2 - 16*j.
j*(j + 2)*(9*j - 2)**3
Factor j**2/7 + 193*j/7 + 192/7.
(j + 1)*(j + 192)/7
Solve -3*i**5 + 30*i**4 + 42*i**3 - 84*i**2 - 159*i - 66 = 0.
-1, 2, 11
Let 5*i**2 - 45*i - 180 = 0. Calculate i.
-3, 12
Factor -l**3 + 52*l**2 - 493*l - 5046.
-(l - 29)**2*(l + 6)
Determine d so that 10*d**5 + 114*d**4 + 344*d**3 + 120*d**2 = 0.
-6, -5, -2/5, 0
Solve 3*q**2 + 6078*q + 3078507 = 0.
-1013
Factor -4*y**2 - 5220*y.
-4*y*(y + 1305)
Factor -12*t**3/7 - 31756*t**2/7 - 3002076*t - 1000188.
-4*(t + 1323)**2*(3*t + 1)/7
Find r such that 2*r**3/11 + 604*r**2/11 - 2448*r/11 = 0.
-306, 0, 4
Solve -4*c**2 + 3608*c - 3604 = 0.
1, 901
Find p, given that 2*p**3/3 + 224*p**2/3 = 0.
-112, 0
Factor 2*s**3/7 + 10*s**2 + 404*s/7 + 48.
2*(s + 1)*(s + 6)*(s + 28)/7
What is h in 2*h**3 + 11*h**2 + 4*h - 5 = 0?
-5, -1, 1/2
Factor 15*g**2 + 2304*g - 924.
3*(g + 154)*(5*g - 2)
Factor 5*w**4 - 80*w**3 - 95*w**2 + 170*w.
5*w*(w - 17)*(w - 1)*(w + 2)
Let -196*r**5 - 3094*r**4/5 - 732*r**3 - 2006*r**2/5 - 508*r/5 - 48/5 = 0. Calculate r.
-1, -4/7, -3/10, -2/7
Find w, given that -2*w**3/11 + 74*w**2/11 - 208*w/11 + 136/11 = 0.
1, 2, 34
Factor -g**3/2 + 9*g**2/2 - 12*g + 10.
-(g - 5)*(g - 2)**2/2
Factor v**4/5 + 9*v**3/5 - 3*v**2/5 - 5*v + 18/5.
(v - 1)**2*(v + 2)*(v + 9)/5
Determine p so that -14*p**2/5 - 506*p + 724/5 = 0.
-181, 2/7
Let -2*q**3/3 + 52*q**2/3 - 338*q/3 + 96 = 0. Calculate q.
1, 9, 16
Solve 4*z**2 + 28*z - 176 = 0 for z.
-11, 4
Solve m**2/6 + 823*m/2 + 1234/3 = 0.
-2468, -1
Factor 6*d**4 - 22*d**3 + 30*d**2 - 18*d + 4.
2*(d - 1)**3*(3*d - 2)
Factor -2*o**4/21 + 1228*o**3/7 - 1700162*o**2/21 + 1129760*o/7 - 1692800/21.
-2*(o - 920)**2*(o - 1)**2/21
Find c, given that 8*c**5 - 28*c**4 - 72*c**3 + 52*c**2 + 40*c = 0.
-2, -1/2, 0, 1, 5
Solve x**3/6 - 5*x**2/6 = 0 for x.
0, 5
Determine i so that -4*i**3 + 4*i**2 + 48*i = 0.
-3, 0, 4
Solve 2*q**3 + 456*q**2 + 25992*q = 0.
-114, 0
Factor 7*z**2/4 - 27*z/4 - 55.
(z + 4)*(7*z - 55)/4
Let s**5 - 4*s**3 + 2*s**2 + 3*s - 2 = 0. What is s?
-2, -1, 1
Solve 2*f**5/13 - 40*f**4/13 - 194*f**3/13 + 16*f**2/13 + 744*f/13 + 576/13 = 0 for f.
-3, -2, -1, 2, 24
Factor 4*h**3/9 - 52*h**2/3 - 36*h - 164/9.
4*(h - 41)*(h + 1)**2/9
What is x in -1705*x**2 + 3400*x + 20 = 0?
-2/341, 2
Solve g**5 + 4*g**4 + 4*g**3 = 0.
-2, 0
What is j in -5*j**5 + 60*j**4 - 200*j**3 + 90*j**2 + 205*j - 150 = 0?
-1, 1, 5, 6
Factor 3*i**4 + 18*i**3 - 21*i**2.
3*i**2*(i - 1)*(i + 7)
Determine k, given that -k**4 + 5*k**3 - 6*k**2 = 0.
0, 2, 3
Find u such that 2*u**3 - 390*u**2 + 18816*u + 19208 = 0.
-1, 98
Let -5*w**5 - 25*w**4 + 520*w**3 = 0. What is w?
-13, 0, 8
Suppose -50*x**3/7 - 170*x**2 - 928*x/7 - 184/7 = 0. Calculate x.
-23, -2/5
Let 3*d**5 - 189*d**4 + 4758*d**3 - 59826*d**2 + 375687*d - 942513 = 0. Calculate d.
11, 13
Solve -4*c**2 + 312*c = 0 for c.
0, 78
Factor -4*v**2 - 60*v + 64.
-4*(v - 1)*(v + 16)
Determine y, given that 2*y**4/7 - 74*y**3/7 + 208*y**2/7 - 136*y/7 = 0.
0, 1, 2, 34
Determine d so that 2*d**3/5 + 42*d**2/5 + 288*d/5 + 648/5 = 0.
-9, -6
Solve -2*d**4/3 + 38*d**3 + 2*d**2 - 338*d/3 - 76 = 0.
-1, 2, 57
Factor -5*l**2 + 60*l + 800.
-5*(l - 20)*(l + 8)
Suppose 4*g**4/7 + 16*g**3/7 - 4*g**2/7 - 16*g/7 = 0. What is g?
-4, -1, 0, 1
Solve -2*l**2/3 + 10*l/3 - 4 = 0.
2, 3
Suppose -4*w**5 + 64*w**4 - 352*w**3 + 768*w**2 - 576*w = 0. What is w?
0, 2, 6
Suppose 2*z**2 - 570*z - 5292 = 0. What is z?
-9, 294
Factor -p**3/3 + 11*p**2/3 - 26*p/3 + 16/3.
-(p - 8)*(p - 2)*(p - 1)/3
Let 10*d**2 + 66*d = 0. What is d?
-33/5, 0
Find d, given that -d**3/3 + 2*d**2/3 - d/3 = 0.
0, 1
Factor -5*n**2/4 + 210*n - 8820.
-5*(n - 84)**2/4
Factor -5*m**4 - 175*m**3 + 555*m**2 - 565*m + 190.
-5*(m - 1)**3*(m + 38)
Find c such that 2*c**5/5 + 4294*c**4/5 + 3075932*c**3/5 + 147438148*c**2 + 293034170*c + 146210350 = 0.
-715, -1
Factor -5*d**5 + 100*d**4 + 480*d**3.
-5*d**3*(d - 24)*(d + 4)
Find m, given that -8*m**2 + 236*m - 3481/2 = 0.
59/4
Factor -i**2 - 221*i + 222.
-(i - 1)*(i + 222)
Suppose -15*s**4 + 99*s**3 - 189*s**2 + 81*s = 0. Calculate s.
0, 3/5, 3
Factor w**5 - 12*w**4 - 59*w**3 - 78*w**2 - 32*w.
w*(w - 16)*(w + 1)**2*(w + 2)
Factor -62*c**3/3 + 5956*c**2/3 - 47744*c + 3072.
-2*(c - 48)**2*(31*c - 2)/3
Let 3*w**2/5 + 318*w/5 - 981/5 = 0. What is w?
-109, 3
Suppose x**3 - 35*x**2 + 144*x + 180 = 0. What is x?
-1, 6, 30
Factor -4*p**4 - 56*p**3 - 276*p**2 - 576*p - 432.
-4*(p + 2)*(p + 3)**2*(p + 6)
Suppose b**2/3 - 3 = 0. What is b?
-3, 3
Find d such that 26*d**4/11 - 914*d**3/11 + 9292*d**2/11 - 21376*d/11 + 3072/11 = 0.
2/13, 3, 16
Factor 4*x**2 -