2
Solve 2*g**3/3 - 5286*g**2 + 10475530*g + 31442450/3 = 0 for g.
-1, 3965
Factor 147*z**4/8 + 10815*z**3/4 + 807939*z**2/8 + 112785*z + 31974.
3*(z + 73)**2*(7*z + 4)**2/8
Solve 16129*k**4/8 + 80137*k**3/8 + 15495*k**2/2 - 503*k/2 + 2 = 0 for k.
-4, -1, 2/127
Factor -p**2/4 - 23*p/4 - 65/2.
-(p + 10)*(p + 13)/4
Factor 5*y**3 - 25*y**2.
5*y**2*(y - 5)
Factor -4*g**3/7 - 160*g**2/7 - 1236*g/7 - 1080/7.
-4*(g + 1)*(g + 9)*(g + 30)/7
Factor -5*m**4 + 495*m**3 - 485*m**2 - 495*m + 490.
-5*(m - 98)*(m - 1)**2*(m + 1)
Let 2*u**4/7 + 4*u**3 - 146*u**2/7 - 4*u + 144/7 = 0. What is u?
-18, -1, 1, 4
Factor 2*v**3/9 - 80*v**2/9 + 376*v/9 + 1088/9.
2*(v - 34)*(v - 8)*(v + 2)/9
Let -w**5 - 31*w**4 - 183*w**3 + 991*w**2 + 748*w - 3468 = 0. Calculate w.
-17, -2, 2, 3
Factor 2*w**3/15 + 194*w**2/15 - 394*w/15 + 66/5.
2*(w - 1)**2*(w + 99)/15
Find x such that 3*x**5 + 18*x**4 + 33*x**3 + 18*x**2 = 0.
-3, -2, -1, 0
Factor -40*d**3 - 164*d**2 - 108*d + 72.
-4*(d + 3)*(2*d + 3)*(5*d - 2)
Factor -5*f**3/3 + 4*f**2/3 + 11*f/3 + 2/3.
-(f - 2)*(f + 1)*(5*f + 1)/3
Suppose -3*m**2 - 268*m/3 + 20 = 0. What is m?
-30, 2/9
Suppose -10*b**5 + 75*b**4 - 150*b**3 + 25*b**2 + 60*b = 0. What is b?
-1/2, 0, 1, 3, 4
Find i, given that 3*i**5 + 200*i**4/3 + 476*i**3/3 - 466*i**2 + 523*i/3 + 190/3 = 0.
-19, -5, -2/9, 1
Factor -r**3/4 - 125*r**2/2 - 3968*r - 7688.
-(r + 2)*(r + 124)**2/4
Find z such that z**2/3 - 30*z + 675 = 0.
45
Let 9*p**3 + 15*p**2/4 - 9*p/2 + 3/4 = 0. Calculate p.
-1, 1/4, 1/3
Factor 2*y**2/13 - 4304*y/13 + 2315552/13.
2*(y - 1076)**2/13
Factor -3*a**4 - 12*a**3 + 3*a**2 + 12*a.
-3*a*(a - 1)*(a + 1)*(a + 4)
Let 3*w**3/8 + 219*w**2/8 + 837*w/8 + 621/8 = 0. Calculate w.
-69, -3, -1
Factor h**2/4 - 3*h/2.
h*(h - 6)/4
Solve -6*d**5 - 358*d**4 + 858*d**3 - 618*d**2 + 124*d = 0.
-62, 0, 1/3, 1
Let -2*t**5/5 - 2*t**4 - 12*t**3/5 = 0. What is t?
-3, -2, 0
Factor i**2 - 7*i + 12.
(i - 4)*(i - 3)
Factor 4*v**2 - 92*v - 96.
4*(v - 24)*(v + 1)
Suppose -2*r**3/9 + 38*r**2/9 - 14*r + 10 = 0. What is r?
1, 3, 15
Solve -x**3 - 12*x**2 + 60*x - 64 = 0.
-16, 2
Determine b, given that -b**3/2 - 3*b**2 - 9*b/2 - 2 = 0.
-4, -1
Factor u**4/2 - 13*u**3/2 - 15*u**2/2 + 13*u/2 + 7.
(u - 14)*(u - 1)*(u + 1)**2/2
Find v, given that -27*v**3/7 - 534*v**2/7 - 1257*v/7 + 306/7 = 0.
-17, -3, 2/9
Let 2*d**4/11 - 2*d**3/11 - 4*d**2/11 = 0. Calculate d.
-1, 0, 2
Factor -3*r**2 + 48*r - 192.
-3*(r - 8)**2
Factor -4*o**3/7 + 8*o**2/7 + 32*o/7.
-4*o*(o - 4)*(o + 2)/7
Find o such that -5*o**5/4 + 95*o**4/4 - 595*o**3/4 + 1225*o**2/4 = 0.
0, 5, 7
Factor -4*i**4 - 16*i**3 + 48*i**2.
-4*i**2*(i - 2)*(i + 6)
Solve -77*w**4/4 + 85*w**3/4 + 186*w**2 + 143*w + 20 = 0 for w.
-2, -5/7, -2/11, 4
Factor -2*z**5 + 46*z**4 - 44*z**3.
-2*z**3*(z - 22)*(z - 1)
Factor 2*s**3/11 + 26*s**2/11 - 128*s/11 + 136/11.
2*(s - 2)**2*(s + 17)/11
Let -3*q**5/5 + 9*q**4/5 + 9*q**3/5 - 33*q**2/5 + 18*q/5 = 0. Calculate q.
-2, 0, 1, 3
What is f in 5*f**5/2 - 60*f**4 - 70*f**3 + 175*f**2 + 615*f/2 + 125 = 0?
-1, 2, 25
Suppose -2*w**5/9 + 8*w**4/9 + 8*w**3/9 - 68*w**2/9 + 10*w - 4 = 0. What is w?
-3, 1, 2, 3
Suppose 3*u**2 + 216*u - 219 = 0. What is u?
-73, 1
Find n, given that -3*n**3/7 - 6*n**2 - 24*n - 192/7 = 0.
-8, -4, -2
Suppose -5*f**4/3 - 1280*f**3/3 - 40960*f**2 - 5242880*f/3 - 83886080/3 = 0. Calculate f.
-64
Factor 2*r**5/7 + 110*r**4/7 + 108*r**3/7.
2*r**3*(r + 1)*(r + 54)/7
Let 4*s**4 + 56*s**3 - 80*s**2 - 2400*s = 0. Calculate s.
-10, 0, 6
Solve -10*g**3/7 - 1534*g**2/7 - 12212*g/7 - 4640/7 = 0.
-145, -8, -2/5
Find m, given that m**4/3 + 2*m**3 - 7*m**2/3 = 0.
-7, 0, 1
Determine l so that 4*l**5 - 548*l**4 + 540*l**3 + 548*l**2 - 544*l = 0.
-1, 0, 1, 136
Solve 2352*s**2 + 504*s + 27 = 0 for s.
-3/28
Determine q, given that -3*q**3 - 144*q**2 - 1107*q + 1254 = 0.
-38, -11, 1
Find g, given that -g**2/5 + 2*g + 39/5 = 0.
-3, 13
Factor -4*c**3/9 + 68*c**2/9 + 4*c/9 - 68/9.
-4*(c - 17)*(c - 1)*(c + 1)/9
Solve -g**2 - 50*g - 336 = 0.
-42, -8
Factor -9*p**3 - 712*p**2 - 79*p.
-p*(p + 79)*(9*p + 1)
Let 2*f**2/3 + 232*f/3 - 78 = 0. Calculate f.
-117, 1
Factor 4*d**3 - 4*d**2 - 8*d.
4*d*(d - 2)*(d + 1)
Factor 2*i**4/7 + 16*i**3/7 + 26*i**2/7 + 12*i/7.
2*i*(i + 1)**2*(i + 6)/7
Factor -2*z**4 - 160*z**3 + 6*z**2 + 476*z - 320.
-2*(z - 1)**2*(z + 2)*(z + 80)
Solve 3*h**2/4 + 341*h/2 - 114 = 0 for h.
-228, 2/3
Factor -4*y**2/7 - 80*y/7.
-4*y*(y + 20)/7
Find n, given that n**4/5 + n**3 - 3*n**2/5 - 13*n/5 + 2 = 0.
-5, -2, 1
Factor 2*q**5/7 - 12*q**3/7 + 16*q**2/7 - 6*q/7.
2*q*(q - 1)**3*(q + 3)/7
Suppose 4*i**2 + 60*i = 0. What is i?
-15, 0
Solve -4*h**2 + 84*h + 88 = 0 for h.
-1, 22
Factor -u**3/8 - 2*u**2 + 271*u/8 + 143/4.
-(u - 11)*(u + 1)*(u + 26)/8
Determine b so that -4*b**3/5 + 32*b**2/5 = 0.
0, 8
Factor 3*z**2 - 18*z + 27.
3*(z - 3)**2
Find x such that 3*x**3/2 + 765*x**2/2 + 65025*x/2 + 1842375/2 = 0.
-85
Factor t**2 - 2536*t + 2535.
(t - 2535)*(t - 1)
Factor -12*o**3 - 652*o**2 - 852*o - 212.
-4*(o + 1)*(o + 53)*(3*o + 1)
Let -6*w**2/11 + 468*w/11 + 474/11 = 0. What is w?
-1, 79
Suppose -3*t**2/5 + 708*t/5 = 0. Calculate t.
0, 236
Suppose 7*r**2/5 + 29*r/5 - 546/5 = 0. What is r?
-78/7, 7
What is u in 2*u**4/15 + 2*u**3/15 - 2*u**2 - 6*u/5 + 36/5 = 0?
-3, 2, 3
Factor -2*t**4/5 - 44*t**3/5 - 192*t**2/5.
-2*t**2*(t + 6)*(t + 16)/5
Factor 3*k**2/2 + 57*k/2 + 117.
3*(k + 6)*(k + 13)/2
Factor -g**2/8 + 713*g/4 - 508369/8.
-(g - 713)**2/8
Determine m, given that 2*m**4/11 + 2*m**3/11 - 24*m**2/11 - 56*m/11 - 32/11 = 0.
-2, -1, 4
Factor x**3 - 398*x**2 + 793*x - 396.
(x - 396)*(x - 1)**2
Let -x**3/5 - 4*x**2/5 - x - 2/5 = 0. Calculate x.
-2, -1
Factor n**4 - 29*n**3 + 288*n**2 - 1060*n + 800.
(n - 10)**2*(n - 8)*(n - 1)
Suppose -9*k**3 + 78*k**2 - 45*k - 24 = 0. Calculate k.
-1/3, 1, 8
Find w, given that 5*w**5 - 15*w**4 - 15*w**3 + 35*w**2 + 30*w = 0.
-1, 0, 2, 3
Factor z**2/6 + 84*z + 10584.
(z + 252)**2/6
Determine l so that -2*l**3/13 + 2382*l**2/13 - 945654*l/13 + 125141546/13 = 0.
397
Find h such that h**4/9 + 7*h**3/9 - 17*h**2/3 - 67*h/9 + 110/9 = 0.
-11, -2, 1, 5
Suppose 2*j**2/3 - 32*j/3 + 56/3 = 0. What is j?
2, 14
Factor -k**5 - 23*k**4 - 30*k**3 + 238*k**2 - 289*k + 105.
-(k - 1)**3*(k + 5)*(k + 21)
Solve -3*y**2 + 51*y = 0 for y.
0, 17
Factor 4*q**3/3 + 23*q**2/3 + 10*q - 3.
(q + 3)**2*(4*q - 1)/3
Suppose v**4 - 549*v**3 + 75075*v**2 + 75625*v = 0. Calculate v.
-1, 0, 275
Factor 4*s**3 - 76*s**2 - 80*s.
4*s*(s - 20)*(s + 1)
Solve -2*f**4 + 294*f**3 + 306*f**2 - 1486*f + 888 = 0 for f.
-3, 1, 148
Factor 2*x**2 + 4*x.
2*x*(x + 2)
Factor -2*t**2/7 - 66*t/7 - 400/7.
-2*(t + 8)*(t + 25)/7
Solve -2*l**4/9 - 4*l**3/9 + 14*l**2/9 - 8*l/9 = 0.
-4, 0, 1
Find t such that -13*t**3/4 + 14*t**2 - 4*t = 0.
0, 4/13, 4
Determine a so that -4*a**3/7 - 5088*a**2/7 - 2157312*a/7 - 304900096/7 = 0.
-424
Find g such that 12*g**5 + 716*g**4 + 436*g**3 - 2172*g**2 - 2848*g - 944 = 0.
-59, -1, -2/3, 2
Factor 5*b**4 - 115*b**3 - 660*b**2 - 1100*b - 560.
5*(b - 28)*(b + 1)*(b + 2)**2
Determine y so that 10*y**3 - 24*y**2 - 18*y = 0.
-3/5, 0, 3
Factor -f**4/4 + 3*f**3/4 - f.
-f*(f - 2)**2*(f + 1)/4
Suppose -m**2 + 23*m + 140 = 0. Calculate m.
-5, 28
Factor o**3 - 20095*o**2 + 100962303*o - 100942209.
(o - 10047)**2*(o - 1)
Factor 3*o**4/4 + 624*o**3 + 516663*o**2/4 - 521667*o/2.
3*o*(o - 2)*(o + 417)**2/4
Factor 5*y**2/7 + 4*y/7.
y*(5*y + 4)/7
Let -49*t**3/3 - 1330*t**2 + 764*t - 328/3 = 0. Calculate t.
-82, 2/7
Suppose j**5 + 47*j**4/4 - 30*j**3 + 83*j**2/4 - 7*j/2 = 0. What is j?
-14, 0, 1/4, 1
Factor 14*m**2/19 + 2*m + 20/19.
2*(m + 2)*(7*m + 5)/19
Factor -2*f**3 - 80*f**2 - 874*f - 1444.
-2*(f + 2)*(f + 19)**2
Factor m**4/3 - 20*m**3/3 + 23*m**2 - 82*m/3 + 32/3.
(m - 16)*(m - 2)*(m - 1)**2/3
Factor -2*n**3 - 580*n**2 - 42050*n.
-2*n*(n + 145)**2
Factor 3*h**3 + 368*h**2 + 1315*h + 714.
(h + 3)*(h + 119)*(3*h + 2)
What is z in 5*z**2 - 285*z + 280 = 0?
1, 56
Let 3*i**3 - 21*i**2 + 12*i + 36 = 0. What is i?
-1, 2, 6
What is k in 6*k**4/23 + 962*k**3/23 + 320*k**2/23 = 0?
-160, -1/3, 0
Determine c so that -4*c**5 + 206*c**4 - 2596*c**3 - 1558*c**2 + 2600*c + 1352 = 0.
-1, -1/2, 1, 26
Solve -16*m**2 - 724*m + 552 = 0.
-46, 3/4
Suppose 3*m**3/4 + 135*m**2/4 + 861*m/4 - 999/4 = 0. Calculate m.
-37, -9, 1
Let 4*w**4 + 2388*w**3 + 352808*