096384 = 0. Calculate v.
-144, -49, 1, 2
Find t, given that 3*t**2 + 2202*t - 6633 = 0.
-737, 3
Find d such that -5*d**3 + 1355*d**2 - 2695*d + 1345 = 0.
1, 269
Suppose -20*v**5 - 40000*v**4 - 79865*v**3 + 109875*v**2 - 29970*v = 0. What is v?
-1998, -3, 0, 1/2
Factor 2*s**2 + 147761*s/2 + 18470.
(s + 36940)*(4*s + 1)/2
Let -s**3 + 509*s**2 - 11663*s + 11155 = 0. What is s?
1, 23, 485
Let -3*c**3/8 + 16737*c**2/4 + 33477*c/8 = 0. What is c?
-1, 0, 11159
Factor 2*f**3/13 + 16546*f**2/13 + 66160*f/13 + 66152/13.
2*(f + 2)**2*(f + 8269)/13
Determine c, given that 3*c**5 - 102*c**4 + 480*c**3 + 690*c**2 - 483*c - 588 = 0.
-1, 1, 7, 28
Determine n so that 3*n**4 - 1023*n**3 + 79911*n**2 - 76857*n - 157794 = 0.
-1, 2, 119, 221
Factor 2*w**3/11 + 24*w**2/11 - 962*w/11 - 4104/11.
2*(w - 19)*(w + 4)*(w + 27)/11
Suppose 3*t**4/2 - 1191*t**3/2 + 74619*t**2 - 2800818*t - 5904900 = 0. What is t?
-2, 75, 162
Find z such that z**3/6 - 277*z**2/2 - 419*z/3 + 832 = 0.
-3, 2, 832
Determine b, given that 4*b**2 - 2625672*b + 430884590724 = 0.
328209
Factor -2*u**3 - 5436*u**2 - 27118*u + 32556.
-2*(u - 1)*(u + 6)*(u + 2713)
Solve -2*r**2 - 453*r/2 - 999/2 = 0.
-111, -9/4
Find v, given that -4*v**4 - 32168*v**3 - 64641588*v**2 + 129379696*v - 64705936 = 0.
-4022, 1
Determine t, given that -10*t**5 + 95*t**4 + 40*t**3 - 770*t**2 - 30*t + 675 = 0.
-5/2, -1, 1, 3, 9
What is g in -g**4/3 + 91*g**3/3 + g**2/3 - 91*g/3 = 0?
-1, 0, 1, 91
Solve 3*u**2/7 + 87*u + 2388/7 = 0 for u.
-199, -4
Factor 3*r**3 + 12579*r**2 - 12588*r - 25164.
3*(r - 2)*(r + 1)*(r + 4194)
Find y, given that -5*y**3 + 49885*y**2 + 249520*y + 299460 = 0.
-3, -2, 9982
Find b such that 6*b**4 + 79568*b**3 + 79550*b**2/3 - 70728*b - 106088/3 = 0.
-13261, -2/3, 1
Factor 2*a**4/9 - 8*a**3/9 - 32*a**2/3 + 32*a + 96.
2*(a - 6)**2*(a + 2)*(a + 6)/9
Let -2*v**2 - 1200792*v - 180237678408 = 0. Calculate v.
-300198
Suppose -4*u**3 - 481108*u**2 + 4*u + 481108 = 0. What is u?
-120277, -1, 1
Factor -22*y**3 - 282*y**2 - 872*y + 168.
-2*(y + 6)*(y + 7)*(11*y - 2)
Solve -5*d**2/4 + 1321*d/4 - 789/2 = 0.
6/5, 263
What is s in 3*s**2/2 - 1179*s/2 - 15012 = 0?
-24, 417
Find x, given that -3*x**5/5 - 11476*x**4/5 + 7652*x**3/5 = 0.
-3826, 0, 2/3
Find n such that 2*n**4 - 982*n**3 + 2910*n**2 + 8774*n + 4880 = 0.
-1, 5, 488
Suppose h**4/2 + 2419*h**3 + 5851557*h**2/2 - 9676*h - 11703122 = 0. What is h?
-2419, -2, 2
Factor -4*n**3 + 20348*n**2 - 344760*n.
-4*n*(n - 5070)*(n - 17)
What is w in -8*w**5 - 395284*w**4/3 - 723384360*w**3 - 1323873752400*w**2 - 220625532000*w = 0?
-5490, -1/6, 0
What is b in -b**3/5 - 111*b**2/5 + 2772*b/5 = 0?
-132, 0, 21
Suppose -4*v**5 + 216*v**4 + 16*v**3 - 864*v**2 = 0. Calculate v.
-2, 0, 2, 54
Factor 2*s**4/9 + 118*s**3/3 - 716*s**2/9.
2*s**2*(s - 2)*(s + 179)/9
Let -10800*x**3/7 + 215640*x**2/7 + 7197*x/7 + 60/7 = 0. Calculate x.
-1/60, 20
Factor -2*y**4/17 - 7232*y**3/17 - 14458*y**2/17 - 7228*y/17.
-2*y*(y + 1)**2*(y + 3614)/17
Factor -v**2 - 384048*v + 768100.
-(v - 2)*(v + 384050)
Factor 7938*y**5 - 54558*y**4 - 7024*y**3 - 224*y**2.
2*y**2*(y - 7)*(63*y + 4)**2
Factor 2*a**5 - 10*a**4 + 14*a**3 - 6*a**2.
2*a**2*(a - 3)*(a - 1)**2
Let d**3 + 89830*d**2 + 2017357225*d = 0. What is d?
-44915, 0
Let -214*x**5 - 434202*x**4 - 220025614*x**3 + 224580930*x**2 - 4120900*x = 0. What is x?
-1015, 0, 2/107, 1
Solve l**3 + 18802*l**2 + 88322368*l - 530611296 = 0 for l.
-9404, 6
Suppose 5*f**4 - 2345*f**3 + 273765*f**2 + 280825*f - 552250 = 0. What is f?
-2, 1, 235
Solve -9*c**3/4 - 13773*c**2/2 + 36861*c/4 + 179127/2 = 0 for c.
-3062, -3, 13/3
Factor -2*h**2/7 - 707648*h/7 - 707646/7.
-2*(h + 1)*(h + 353823)/7
Determine f so that -3*f**5 + 183*f**4 + 1389*f**3 + 2661*f**2 - 558*f - 3672 = 0.
-3, -2, 1, 68
Factor 4*p**2/3 - 8200*p/3 - 117152.
4*(p - 2092)*(p + 42)/3
What is r in r**4/3 - 40*r**3 - 1104*r**2 + 138240*r + 3981312 = 0?
-36, 96
Factor 2*w**2/11 - 36512*w/11 + 166640768/11.
2*(w - 9128)**2/11
Factor 4*n**3 - 7960*n**2 - 55948*n + 63904.
4*(n - 1997)*(n - 1)*(n + 8)
Factor -3*z**3 - 19734*z**2 + 12*z + 78936.
-3*(z - 2)*(z + 2)*(z + 6578)
Factor -3*z**2 + 294*z + 5865.
-3*(z - 115)*(z + 17)
Factor 2*u**2 - 161868*u.
2*u*(u - 80934)
Factor -4*s**3 + 1864*s**2 - 288000*s + 14764032.
-4*(s - 178)*(s - 144)**2
Factor p**2/2 - 72633*p/2 + 36316.
(p - 72632)*(p - 1)/2
Let b**4/5 - 76918*b**3/5 + 295818936*b**2 + 76918*b/5 - 1479094681/5 = 0. What is b?
-1, 1, 38459
Find a, given that 2*a**4/5 - 2498*a**3/5 - 10014*a**2/5 - 12526*a/5 - 5012/5 = 0.
-2, -1, 1253
Find v such that 5*v**4 + 380*v**3 + 9415*v**2 + 72520*v - 82320 = 0.
-28, -21, 1
Factor 5*p**3 + 1680*p**2 - 30095*p - 31770.
5*(p - 18)*(p + 1)*(p + 353)
What is f in -2*f**2/3 + 388*f/3 - 256 = 0?
2, 192
Let 726*q**5 + 4917*q**4 - 1686*q**3 - 3405*q**2 + 2136*q - 336 = 0. Calculate q.
-7, -1, 4/11, 1/2
Factor -2*k**2/11 - 2300*k/11 + 23200/11.
-2*(k - 10)*(k + 1160)/11
Solve -720*v**3 - 2760*v**2 + 17755*v + 70225 = 0.
-53/12, 5
Factor -d**2 - 37*d + 6968.
-(d - 67)*(d + 104)
Suppose -100*f**5 + 1035*f**4 - 3650*f**3 + 5155*f**2 - 3000*f + 560 = 0. Calculate f.
7/20, 1, 4
Factor -3*p**4 + 25953*p**3 - 51897*p**2 + 25947*p.
-3*p*(p - 8649)*(p - 1)**2
Determine u, given that 4*u**3 - 148*u**2 - 3140*u - 13356 = 0.
-9, -7, 53
Factor 9*r**2/2 - 31763*r/2 + 3529.
(r - 3529)*(9*r - 2)/2
Factor 3*n**2 - 7233*n + 36090.
3*(n - 2406)*(n - 5)
Determine h, given that h**3 + 11135*h**2 + 30958047*h - 217252287 = 0.
-5571, 7
Factor -2*q**2/5 + 966*q/5 - 28024/5.
-2*(q - 452)*(q - 31)/5
Factor -g**3/4 - 38723*g**2/4 + 77458*g - 154924.
-(g - 4)**2*(g + 38731)/4
Factor -s**3 - 578*s**2 - 2296*s.
-s*(s + 4)*(s + 574)
Suppose -2*d**3 - 2608*d**2 - 31078*d - 90440 = 0. What is d?
-1292, -7, -5
Let 2*v**3 - 11382*v**2 - 34164*v = 0. Calculate v.
-3, 0, 5694
Determine v, given that -17*v**5 + 240*v**4 + 516*v**3 - 64*v**2 = 0.
-2, 0, 2/17, 16
Factor -3*d**3 + 612*d**2 + 3861*d - 17010.
-3*(d - 210)*(d - 3)*(d + 9)
Determine f, given that 10*f**4/9 - 74*f**3/9 - 122*f**2 - 70*f = 0.
-7, -3/5, 0, 15
Factor -3*f**2 + 4071*f - 4068.
-3*(f - 1356)*(f - 1)
Let -558*s**3/5 + 13398*s**2/5 + 13806*s/5 - 30 = 0. Calculate s.
-1, 1/93, 25
Suppose -4*a**4 - 4100*a**3 + 300892*a**2 - 1150108*a + 853320 = 0. Calculate a.
-1094, 1, 3, 65
Find v such that v**5/3 + 65*v**4/3 + 308*v**3/3 + 484*v**2/3 + 80*v = 0.
-60, -2, -1, 0
Determine p, given that -70*p**3 - 95502*p**2 - 29996*p + 16368 = 0.
-1364, -3/5, 2/7
Factor b**2 - 124520*b - 249044.
(b - 124522)*(b + 2)
Suppose 4*z**5 + 40*z**4 + 80*z**3 - 40*z**2 - 84*z = 0. Calculate z.
-7, -3, -1, 0, 1
Factor 2*c**2/19 - 14824*c/19.
2*c*(c - 7412)/19
Solve -18*c**4/5 - 291*c**3/5 - 723*c**2/5 + 291*c/5 + 741/5 = 0.
-13, -19/6, -1, 1
Factor 4*u**2 - 915033*u + 228758.
(u - 228758)*(4*u - 1)
Factor -5*z**2/2 - 147685*z/2 + 295410.
-5*(z - 4)*(z + 29541)/2
Factor w**3/2 + 170*w**2 + 10106*w + 19536.
(w + 2)*(w + 74)*(w + 264)/2
Solve j**2 + 436*j - 84245 = 0 for j.
-581, 145
Find h such that 4*h**3 + 142*h**2/3 - 1800*h + 896/3 = 0.
-28, 1/6, 16
Solve 2*s**5 - 23672*s**4 + 70281642*s**3 - 1397052980*s**2 + 2583355712*s - 1256560704 = 0 for s.
1, 18, 5908
What is q in 270*q**5/7 - 297*q**4/7 - 192*q**3/7 + 297*q**2/7 - 78*q/7 = 0?
-1, 0, 13/30, 2/3, 1
Factor 4*v**2 + 782244*v + 782240.
4*(v + 1)*(v + 195560)
Determine z, given that 2*z**3/3 + 36*z**2 + 466*z + 1292/3 = 0.
-34, -19, -1
Factor -s**2/2 + 967*s + 29460.
-(s - 1964)*(s + 30)/2
Determine p, given that 5*p**4 + 3240*p**3 - 26140*p**2 + 65520*p - 52480 = 0.
-656, 2, 4
Determine o, given that -4*o**3 - 9372*o**2 - 5866284*o - 433377940 = 0.
-1129, -85
Solve 5*n**4 - 6405*n**3 + 2611940*n**2 - 329960820*n + 327355280 = 0 for n.
1, 244, 518
Factor -18*m**3 + 10104*m**2 + 27040*m + 18048.
-2*(m - 564)*(3*m + 4)**2
Factor 5*n**3 + 2450*n**2 + 100540*n + 1079320.
5*(n + 22)**2*(n + 446)
Factor 4*c**3 - 220*c**2 - 19552*c - 289328.
4*(c - 107)*(c + 26)**2
Factor 2*g**3/3 + 10*g**2/3 - 112*g/3 - 40.
2*(g - 6)*(g + 1)*(g + 10)/3
Solve -2*z**3 + 9216*z**2 + 110808*z + 332640 = 0 for z.
-6, 4620
Factor -g**4/2 - 127*g**3 - 1493*g**2/2 - 620*g.
-g*(g + 1)*(g + 5)*(g + 248)/2
What is l in -2*l**4/5 - 1092*l**3/5 - 150146*l**2/5 - 297024*l/5 - 147968/5 = 0?
-272, -1
Factor