at -77037*w**2/4 - 231117*w/4 - 9/2 = 0.
-3, -2/25679
Find f such that -16900*f**4 + 8320*f**3 - 1024*f**2 = 0.
0, 16/65
Find w such that 39*w**5 - 1839*w**4 - 13875*w**3 - 29061*w**2 - 14148*w + 2916 = 0.
-3, -1, 2/13, 54
Suppose 3*c**4 + 927*c**3/4 + 18663*c**2/4 + 9468*c + 2079 = 0. Calculate c.
-42, -33, -2, -1/4
Suppose -3*k**3/5 - 1731*k**2/5 + 19482*k/5 + 45864/5 = 0. What is k?
-588, -2, 13
Determine s so that -s**3/8 - 51*s**2/8 + 1265*s/4 + 2100 = 0.
-80, -6, 35
Factor -r**2/4 + 717*r/4 - 11935/2.
-(r - 682)*(r - 35)/4
Let 3*g**2/8 - 8775*g/4 + 25666875/8 = 0. Calculate g.
2925
Factor -4*u**3 + 9672*u**2 - 5827332*u - 23464336.
-4*(u - 1211)**2*(u + 4)
Factor 2*q**4/7 + 15958*q**3/7 + 15956*q**2/7.
2*q**2*(q + 1)*(q + 7978)/7
Determine h so that 33*h**4/7 + 69*h**3 - 1401*h**2/7 - 177*h + 612/7 = 0.
-17, -1, 4/11, 3
Determine z, given that -2*z**4/11 - 3252*z**3/11 - 29064*z**2/11 + 6172*z - 3234 = 0.
-1617, -11, 1
Let 4*a**4/3 + 3072*a**3 + 1769472*a**2 = 0. What is a?
-1152, 0
Factor 4*a**2/5 + 2212*a/5 - 888.
4*(a - 2)*(a + 555)/5
Factor -63*a**3 - 867*a**2 + 30915*a - 162081.
-3*(a - 9)**2*(21*a + 667)
Factor -1271822845163625*g**4/7 - 2543716122161400*g**3/7 - 20123566920*g**2 - 2600288*g/7 - 16/7.
-(g + 2)*(108345*g + 2)**3/7
Let -j**2 + 199*j - 3894 = 0. Calculate j.
22, 177
Determine k so that -24*k**5/7 - 1597798*k**4/7 + 1730992*k**3/7 + 1065202*k**2/7 - 932068*k/7 - 266304/7 = 0.
-66576, -2/3, -1/4, 1
Factor k**3/2 + 25*k**2/2 + 77*k.
k*(k + 11)*(k + 14)/2
Solve -9*y**4 + 2784*y**3 + 18843*y**2 + 36918*y + 17064 = 0 for y.
-3, -2/3, 316
Factor 98*q**2/19 + 578*q/19 + 852/19.
2*(q + 3)*(49*q + 142)/19
Suppose -4*f**4/3 - 436*f**3/3 - 2648*f**2/3 + 156352*f/3 - 219520 = 0. What is f?
-98, -28, 5, 12
Determine i, given that -4*i**3 + 1840*i**2 + 202416*i + 397440 = 0.
-90, -2, 552
Determine x, given that -x**4/4 + 163*x**3/4 + 9937*x**2/4 + 149753*x/4 + 112677 = 0.
-23, -4, 213
Factor 2*w**4/9 + 28874*w**3/9 + 104170160*w**2/9 - 104256800*w/3.
2*w*(w - 3)*(w + 7220)**2/9
Determine p so that -2*p**4/7 - 2580*p**3/7 - 759474*p**2/7 + 6687360*p - 94058496 = 0.
-672, 27
Determine k so that -k**5/6 + 13*k**4/2 - 35*k**3/6 - 115*k**2/6 + 6*k + 38/3 = 0.
-1, 1, 2, 38
Suppose -2*b**4 + 3414*b**3 + 30840*b**2 + 82336*b + 54912 = 0. What is b?
-4, -1, 1716
Factor -4*n**2 + 280*n - 544.
-4*(n - 68)*(n - 2)
What is m in m**2/3 - 33*m + 728/3 = 0?
8, 91
Suppose -5*w**2 + 23130*w - 2307240 = 0. Calculate w.
102, 4524
Factor k**2 - 1562*k.
k*(k - 1562)
Suppose 44*h**5/5 + 16*h**4 - 236*h**3/5 - 224*h**2/5 + 48*h/5 = 0. Calculate h.
-3, -1, 0, 2/11, 2
Solve -3*r**2 - 4938*r - 49080 = 0.
-1636, -10
Find h, given that 9*h**3/5 + 39783*h**2/5 + 79539*h/5 + 7953 = 0.
-13255/3, -1
Factor -2*n**3/9 + 4810*n**2/9 + 9628*n/9.
-2*n*(n - 2407)*(n + 2)/9
What is n in -n**5/5 + 1357*n**4/5 - 93018*n**3 + 3209634*n**2/5 - 1369305*n + 820125 = 0?
1, 3, 675
Find r such that -5*r**2 - 2177710*r - 237121042205 = 0.
-217771
Factor f**3/5 - 39*f**2 + 4851*f/5 + 3267.
(f - 165)*(f - 33)*(f + 3)/5
Determine q so that -3*q**3 - 45*q**2 + 864*q - 2916 = 0.
-27, 6
What is k in 2*k**4/7 - 1740*k**3/7 + 60048*k**2/7 = 0?
0, 36, 834
Factor -d**2 + 159476*d - 478419.
-(d - 159473)*(d - 3)
Determine y so that 5*y**2 + 951690*y + 45285692805 = 0.
-95169
Solve -3*n**2/2 - 525*n/2 - 10350 = 0.
-115, -60
Suppose r**3 + 3718*r**2 - 41031*r - 44748 = 0. What is r?
-3729, -1, 12
Factor 242*m**5 - 2086*m**4 - 2328*m**3.
2*m**3*(m + 1)*(121*m - 1164)
Factor 9*g**3 - 462*g**2 - 6651*g + 2268.
3*(g - 63)*(g + 12)*(3*g - 1)
Factor 107*t**2 + 13165*t/3 + 164/3.
(t + 41)*(321*t + 4)/3
Determine j so that -2*j**2/19 - 240696*j/19 - 722070/19 = 0.
-120345, -3
Factor -14*o**2 + 10429*o + 745.
-(o - 745)*(14*o + 1)
Let 17*z**2/6 + 6692*z - 2362/3 = 0. What is z?
-2362, 2/17
Factor 44*v**2/9 + v/9.
v*(44*v + 1)/9
Factor h**2/4 + 8779*h/2 - 17559/4.
(h - 1)*(h + 17559)/4
Find v such that -24300*v**3 - 1118340*v**2 - 24843*v - 138 = 0.
-46, -1/90
Suppose f**2/9 + 74158*f + 12373670169 = 0. What is f?
-333711
Let 2*a**3 + 28612*a**2 + 102330818*a = 0. Calculate a.
-7153, 0
Find k such that -3*k**2/8 + 363*k + 25551/2 = 0.
-34, 1002
What is b in 2*b**3/17 - 252*b**2/17 + 7506*b/17 - 62640/17 = 0?
15, 24, 87
Solve a**3 + 150*a**2 + 4367*a + 4218 = 0 for a.
-111, -38, -1
Factor -2*t**4/11 - 94*t**3/11 + 1140*t**2/11.
-2*t**2*(t - 10)*(t + 57)/11
Factor 2*k**5/9 - 14554*k**4/9 + 26499188*k**3/9 - 79410260*k**2/9 + 79381162*k/9 - 26455538/9.
2*(k - 3637)**2*(k - 1)**3/9
Solve -4*t**3 + 3764*t**2 + 11320*t + 7552 = 0.
-2, -1, 944
Solve 3*c**5/8 + 87*c**4/4 - 1281*c**3/8 - 5025*c**2/2 + 16641*c/2 - 5670 = 0.
-63, -10, 1, 2, 12
Factor 2*p**5/15 - 13250*p**4/3 + 66246*p**3/5 - 198734*p**2/15 + 66244*p/15.
2*p*(p - 33122)*(p - 1)**3/15
Factor -3*o**2/5 + 414*o/5 - 4191/5.
-3*(o - 127)*(o - 11)/5
Let l**3/4 + 1835*l**2/4 - 25901*l/4 - 27735/4 = 0. Calculate l.
-1849, -1, 15
Factor 57122*d**3/3 + 110864*d**2/3 - 6710*d/3 + 100/3.
2*(d + 2)*(169*d - 5)**2/3
Suppose -16*w**2/3 - 1102556*w/3 - 275636 = 0. What is w?
-68909, -3/4
Suppose z**4/6 - 181*z**3/6 - 1037*z**2 - 11342*z/3 - 10972/3 = 0. What is z?
-26, -2, 211
Determine b so that -2*b**5/11 + 12*b**4/11 + 58*b**3/11 - 36*b**2 + 664*b/11 - 336/11 = 0.
-6, 1, 2, 7
Find k, given that 4*k**2 - 4*k - 9024 = 0.
-47, 48
Determine v, given that 5*v**4 - 186890*v**3 + 1746393605*v**2 = 0.
0, 18689
Solve -w**2 + 10420*w - 27144100 = 0.
5210
Let 3*y**2/5 - 64272*y/5 - 12855 = 0. What is y?
-1, 21425
Factor -z**3/2 + 931*z**2 - 863025*z/2 - 1740978.
-(z - 933)**2*(z + 4)/2
Factor -50*i**3 + 19160*i**2 - 60928*i + 48640.
-2*(i - 380)*(5*i - 8)**2
Let -4*j**3 - 266564*j**2 - 4440356396*j + 22208446580 = 0. Calculate j.
-33323, 5
Factor 5*n**5 - 1125*n**4 + 5545*n**3 - 9935*n**2 + 7710*n - 2200.
5*(n - 220)*(n - 2)*(n - 1)**3
Determine k, given that -3*k**3 + 762*k**2 - 3012*k + 3000 = 0.
2, 250
Find o such that -o**5/7 - 23*o**4/7 - 75*o**3/7 + 45*o**2 + 108*o - 972/7 = 0.
-18, -6, -3, 1, 3
Let 155236*k**4/3 - 311260*k**3/3 + 1577*k**2/3 - 2*k/3 = 0. What is k?
0, 1/394, 2
Factor -x**3/3 - 68*x**2/3 + 293*x/3 + 120.
-(x - 5)*(x + 1)*(x + 72)/3
Factor 5*p**2/4 - 432020*p + 37328256080.
5*(p - 172808)**2/4
Solve 15*g**5 + 1325*g**4/2 - 10170*g**3 - 25705*g**2/2 + 1605*g + 3640 = 0 for g.
-56, -1, -2/3, 1/2, 13
Suppose -h**3/2 - 69*h**2/2 - 769*h - 5580 = 0. What is h?
-31, -20, -18
Factor 3*z**2/2 - 981*z/2 - 1986.
3*(z - 331)*(z + 4)/2
Find h such that 3*h**5/5 - 19998*h**4/5 - 80022*h**3/5 - 120048*h**2/5 - 80037*h/5 - 4002 = 0.
-1, 6670
Determine g, given that -66*g**4 - 4755*g**3 + 42024*g**2 + 1920*g = 0.
-80, -1/22, 0, 8
Find p such that -32*p**5 - 588*p**4 - 3268*p**3 - 5912*p**2 + 3200 = 0.
-10, -4, -1, 5/8
Suppose w**5/3 + 907*w**4/6 - 7774*w**3 - 72001*w**2/6 - 226*w/3 + 4000 = 0. What is w?
-500, -1, 1/2, 48
Let -r**5 - 22*r**4 - 57*r**3 + 4*r**2 + 76*r = 0. What is r?
-19, -2, 0, 1
Let y**2/7 + 1384*y/7 - 48212/7 = 0. What is y?
-1418, 34
Factor -2*y**4/11 - 604*y**3/11 - 28728*y**2/11 - 493776*y/11 - 2892672/11.
-2*(y + 18)**3*(y + 248)/11
Let -2*i**5/15 - 106*i**4/15 - 236*i**3/3 - 3404*i**2/15 + 394*i/5 + 234 = 0. Calculate i.
-39, -9, -5, -1, 1
Factor 2*d**5/7 - 114*d**4/7 - 354*d**3/7 - 358*d**2/7 - 120*d/7.
2*d*(d - 60)*(d + 1)**3/7
Solve s**2/2 - 12945*s + 167573025/2 = 0.
12945
Suppose 5*j**2 + 608675*j = 0. Calculate j.
-121735, 0
Factor -5*m**3 + 28160*m**2 + 140925*m.
-5*m*(m - 5637)*(m + 5)
Factor 10*v**3 + 32505*v**2 - 81340*v - 48795.
5*(v - 3)*(v + 3253)*(2*v + 1)
Factor h**3/4 - 36*h**2 - 2673*h.
h*(h - 198)*(h + 54)/4
Factor -3*t**4/5 + 3765*t**3 - 56457*t**2/5 + 56451*t/5 - 18816/5.
-3*(t - 6272)*(t - 1)**3/5
Factor 2*p**3/13 + 1916*p**2/13 + 447170*p/13 - 5645400/13.
2*(p - 12)*(p + 485)**2/13
Factor -2738*g**2/13 - 7621408*g/13 - 5303676032/13.
-2*(37*g + 51496)**2/13
Factor g**3 - 6*g**2 - 247*g.
g*(g - 19)*(g + 13)
Find v such that -v**2 + 7113*v + 135508 = 0.
-19, 7132
Suppose t**4/3 - 184*t**3/3 + 175*t**2/3 + 492*t - 732 = 0. Calculate t.
-3, 2, 183
Factor i**3/5 - 2*i**2/5 - 1224*i/5.
i*(i - 36)*(i + 34)/5
Factor 2*y**2/25 - 324*y/25 + 10672/25.
2*(y - 116)*(y - 46)/25
Determine k, given that -k**3/6 + 25*k**2 + 476*k/3 -