3
Let 2*t**5/7 - 2186*t**4/7 + 83282*t**3 + 7827322*t**2/7 + 4867664*t + 6989920 = 0. Calculate t.
-5, -4, 553
Let 3*f**2/2 + 483*f/2 - 41340 = 0. Calculate f.
-265, 104
Find v, given that -v**3/3 + 148*v**2/3 - 992*v = 0.
0, 24, 124
Suppose n**2/4 - 8215*n/2 + 67486225/4 = 0. Calculate n.
8215
Find o, given that -o**2/5 + 368*o/5 - 732/5 = 0.
2, 366
Factor 2*n**3/7 - 88*n**2/7 + 1152*n/7 - 4608/7.
2*(n - 24)*(n - 12)*(n - 8)/7
Solve -3*g**2 + 990*g = 0 for g.
0, 330
Solve 2*b**5/9 + 2240*b**4/9 + 33248*b**3/9 + 108404*b**2/9 + 126014*b/9 + 48620/9 = 0.
-1105, -11, -2, -1
Suppose 550*x**3 + 45*x**2 - 70*x = 0. Calculate x.
-2/5, 0, 7/22
Factor 2*y**2 - 775426*y.
2*y*(y - 387713)
Factor -j**3 + 1366*j**2 - 327452*j + 21817448.
-(j - 1082)*(j - 142)**2
Let -3*a**5 + 12*a**4 + 51*a**3 - 192*a**2 + 12*a + 240 = 0. Calculate a.
-4, -1, 2, 5
Factor -3*z**3 - 237*z**2 + 1638*z + 31752.
-3*(z - 14)*(z + 9)*(z + 84)
What is m in 5*m**3 + 2700*m**2 - 30255*m + 27550 = 0?
-551, 1, 10
Factor 3*h**4 + 657*h**3 + 37569*h**2 + 174303*h + 137388.
3*(h + 1)*(h + 4)*(h + 107)**2
What is l in -4*l**2 - 3364*l = 0?
-841, 0
Let -i**2/2 + 8449*i - 16897/2 = 0. Calculate i.
1, 16897
Find g such that g**5/2 + 1017*g**4/2 + 256019*g**3/2 - 1297433*g**2/2 + 1042440*g - 522242 = 0.
-511, 1, 2
Determine y so that -2*y**2 - 350*y/3 + 1825/6 = 0.
-365/6, 5/2
Solve 3*f**3/7 - 28431*f**2/7 + 67572873*f/7 - 1007206245/7 = 0 for f.
15, 4731
Factor 2*u**2 - 686*u - 9256.
2*(u - 356)*(u + 13)
Factor 2*u**2/13 + 258*u/13 + 1000/13.
2*(u + 4)*(u + 125)/13
Find m, given that 15*m**3 - 11934*m**2 - 40731*m - 14382 = 0.
-3, -2/5, 799
Solve 2*x**2 - 72*x - 5184 = 0 for x.
-36, 72
Suppose 2*a**3/17 + 5796*a**2/17 - 389070*a/17 + 6455592/17 = 0. Calculate a.
-2964, 33
Suppose 2*l**3/7 + 702*l**2/7 - 2832*l/7 + 2840/7 = 0. What is l?
-355, 2
Suppose -j**4 + 4629*j**3 - 5349962*j**2 - 16082304*j - 10727712 = 0. Calculate j.
-2, -1, 2316
Find c such that -22*c**2/3 - 548330*c/9 - 16616/9 = 0.
-8308, -1/33
Find f, given that -25*f**2/4 + 6345*f/2 + 14080 = 0.
-22/5, 512
Determine u, given that 5*u**5/2 + 101*u**4 - 792*u**3 + 1745*u**2 - 3061*u/2 + 474 = 0.
-237/5, 1, 4
Factor -2*z**2/9 - 19642*z/9 + 6548/3.
-2*(z - 1)*(z + 9822)/9
Suppose 3*a**5 - 232*a**4 + 177*a**3 + 9696*a**2 - 3260*a - 6384 = 0. What is a?
-6, -2/3, 1, 7, 76
Factor 64*z**3/5 + 2912*z**2/5 + 6996*z + 126324/5.
4*(z + 29)*(4*z + 33)**2/5
Factor -q**4 - 3824*q**3 - 3663380*q**2 - 14592400*q.
-q*(q + 4)*(q + 1910)**2
Factor -3*j**2 + 14136*j + 70755.
-3*(j - 4717)*(j + 5)
Factor -i**3 - 699*i**2 - 2783*i - 2085.
-(i + 1)*(i + 3)*(i + 695)
Factor 122855056*r**4 + 245754448*r**3 + 88676*r**2 + 8*r.
4*r*(r + 2)*(5542*r + 1)**2
Suppose i**4/4 + 11*i**3/4 - 2037*i**2/4 + 27577*i/4 + 7406 = 0. Calculate i.
-56, -1, 23
Factor 3*x**2 + 261368*x + 174244.
(x + 87122)*(3*x + 2)
Suppose 2*d**2 - 80876*d + 817615922 = 0. Calculate d.
20219
Factor -3*u**2/5 - 6633*u/5 + 6648.
-3*(u - 5)*(u + 2216)/5
Factor 2*w**3/13 - 1790*w**2/13 + 3574*w/13 - 1786/13.
2*(w - 893)*(w - 1)**2/13
Determine c, given that -2*c**3 + 46*c**2 + 40*c - 1848 = 0.
-6, 7, 22
Let -5*g**2/2 + 315915*g - 19960457445/2 = 0. Calculate g.
63183
Determine u so that -u**4 - 562*u**3/5 - 16499*u**2/5 - 28302*u - 10800 = 0.
-72, -25, -15, -2/5
Factor 2*r**2/3 - 1730*r/9 - 1552/3.
2*(r - 291)*(3*r + 8)/9
Factor -8*r**3 + 355*r**2 - 476*r + 129.
-(r - 43)*(r - 1)*(8*r - 3)
What is f in 4*f**3 - 69880*f**2 + 305200900*f = 0?
0, 8735
Let 648*z**4 + 4410*z**3 - 161698*z**2 + 669110*z + 177450 = 0. What is z?
-21, -1/4, 65/9
Factor 2*s**3/5 - 74*s**2/5 - 2*s/5 + 74/5.
2*(s - 37)*(s - 1)*(s + 1)/5
Suppose 3471*h**5 - 13890*h**4 + 24*h**3 + 55536*h**2 - 55632*h + 96 = 0. Calculate h.
-2, 2/1157, 2
What is w in -6*w**3/19 + 2732*w**2/19 + 4566*w/19 + 1828/19 = 0?
-1, -2/3, 457
Factor -2*u**2/3 + 2636*u - 15808/3.
-2*(u - 3952)*(u - 2)/3
Suppose 3268*t**2 + 232036*t + 568 = 0. What is t?
-71, -2/817
Factor -2*c**5 + 740*c**4 - 72746*c**3 + 794760*c**2 - 2306952*c.
-2*c*(c - 179)**2*(c - 6)**2
Factor q**2/2 + 9500*q + 45125000.
(q + 9500)**2/2
Find s, given that -6*s**2 - 23770*s + 31704 = 0.
-3963, 4/3
Factor -2*b**4 + 580*b**3 - 63066*b**2 + 3047320*b - 55209032.
-2*(b - 74)**2*(b - 71)**2
Let -f**2 + 1249*f/4 + 39585/4 = 0. What is f?
-29, 1365/4
Solve -3*r**5/2 - 2019*r**4/4 + 1806*r**3 + 7149*r**2 + 3060*r = 0.
-340, -2, -1/2, 0, 6
Factor -13*m**2 + 872*m + 816.
-(m - 68)*(13*m + 12)
Solve -48*d**3/5 + 4556*d**2/5 - 29188*d/5 - 2464/5 = 0 for d.
-1/12, 7, 88
Find j such that -5*j**3 - 1155*j**2 - 6670*j + 18000 = 0.
-225, -8, 2
Suppose y**4 - 3343*y**3 + 2785540*y**2 + 13997988*y + 11209104 = 0. What is y?
-4, -1, 1674
Factor w**4 - 4882*w**3 + 5943808*w**2 + 35838816*w.
w*(w - 2444)**2*(w + 6)
Let -5*h**3 - 9579*h**2 - 4586904*h + 917764 = 0. Calculate h.
-958, 1/5
Let 20*q**3 + 836985*q**2 + 1883125*q + 418470 = 0. Calculate q.
-41847, -2, -1/4
Find c, given that c**4 - 4650*c**3 - 13956*c**2 - 13958*c - 4653 = 0.
-1, 4653
Solve -y**5 + 135*y**4 - 4037*y**3 - 8759*y**2 + 4038*y + 8624 = 0 for y.
-2, -1, 1, 49, 88
Determine d so that -24*d**5/13 - 314*d**4/13 - 566*d**3/13 - 154*d**2/13 + 254*d/13 + 132/13 = 0.
-11, -1, -3/4, 2/3
Factor 4*k**2 + 21168*k + 28005264.
4*(k + 2646)**2
Solve 3*v**4 - 1529*v**3 - 38903*v**2/3 + 27463*v/3 - 1554 = 0 for v.
-9, 1/3, 518
Factor f**4/5 - 63*f**3/5 + 1332*f**2/5 - 10368*f/5 + 20736/5.
(f - 24)**2*(f - 12)*(f - 3)/5
Factor g**4/5 - 92*g**3 + 4489*g**2/5 + 990*g.
g*(g - 450)*(g - 11)*(g + 1)/5
Suppose 4*v**3/3 + 2048*v**2/3 + 1356*v - 2040 = 0. What is v?
-510, -3, 1
Find f such that -3*f**4 - 6777*f**3/2 - 63867*f**2/2 - 15120*f = 0.
-1120, -9, -1/2, 0
Determine b so that 2*b**5 + 96884*b**4 + 1173313680*b**3 - 96884*b**2 - 1173313682*b = 0.
-24221, -1, 0, 1
Factor 24*w**4 + 188*w**3 + 328*w**2 - 60*w.
4*w*(w + 3)*(w + 5)*(6*w - 1)
Determine r, given that -705*r**3 - 106460*r**2 + 214975*r + 1530 = 0.
-153, -1/141, 2
Suppose 5*w**2/4 + 1815*w/2 - 16740 = 0. Calculate w.
-744, 18
Find r such that -20*r**3 - 158355*r**2 + 356390*r - 79200 = 0.
-7920, 1/4, 2
Find t such that 3*t**3/5 - 354*t**2 - 50505*t + 39748800 = 0.
-320, 455
Solve -5*g**2 - 740*g - 12255 = 0.
-129, -19
Factor -c**3 + 448*c**2 + 12155*c + 80106.
-(c - 474)*(c + 13)**2
What is k in k**4 + 1428*k**3 + 687076*k**2 + 126577920*k + 7857049600 = 0?
-554, -160
Solve x**5 - 32*x**4 - 6*x**3 + 184*x**2 + 253*x + 96 = 0 for x.
-1, 3, 32
Factor 5*s**4 + 6170*s**3 - 12375*s**2 - 18540*s.
5*s*(s - 3)*(s + 1)*(s + 1236)
What is v in v**3/3 - 259649*v**2/3 - 519301*v/3 - 259651/3 = 0?
-1, 259651
Find v, given that 9*v**3/2 + 5109*v**2/2 + 4248*v + 1698 = 0.
-566, -1, -2/3
Factor -4*x**4 - 20*x**3 + 408*x**2 + 720*x - 9504.
-4*(x - 6)**2*(x + 6)*(x + 11)
Factor 5*l**3 + 582800*l**2 + 4662160*l + 9324160.
5*(l + 4)**2*(l + 116552)
What is c in 2*c**4/11 + 4104*c**3/11 + 2109452*c**2/11 + 4206600*c/11 + 2101250/11 = 0?
-1025, -1
Determine k so that -4*k**3 - 1580*k**2 - 3148*k - 1572 = 0.
-393, -1
Determine n, given that 2*n**3/17 - 16724*n**2/17 + 34928050*n/17 + 139979912/17 = 0.
-4, 4183
Let 4*t**4/3 - 3104*t**3/3 + 3096*t**2 - 9280*t/3 + 3092/3 = 0. Calculate t.
1, 773
Solve f**2 + 11835*f - 11836 = 0.
-11836, 1
Let 5*t**3 - 8140*t**2 - 20*t + 32560 = 0. Calculate t.
-2, 2, 1628
Solve 5*y**2/3 - 2065*y/3 + 9950 = 0 for y.
15, 398
Determine r so that r**4/4 + 27*r**3/2 - 135*r**2 + 837*r/2 - 1701/4 = 0.
-63, 3
Solve 2*b**3/3 + 444664*b**2/3 + 8238289920*b - 32955531264 = 0.
-111168, 4
Suppose -k**3 - 197*k**2 + 28518*k = 0. What is k?
-294, 0, 97
Factor c**3/5 - 58*c**2 + 1991*c/5 - 566.
(c - 283)*(c - 5)*(c - 2)/5
Determine t so that -3*t**4/2 + 497*t**3 - 41498*t**2 + 54615*t - 27225/2 = 0.
1/3, 1, 165
Determine v so that -4*v**5 + 288*v**4 - 2140*v**3 + 6000*v**2 - 7216*v + 3072 = 0.
1, 2, 3, 64
Factor u**3 + 8146*u**2/3 - 62615*u/3 + 38122/3.
(u - 7)*(u + 2723)*(3*u - 2)/3
Determine g, given that -2*g**2/7 + 2848*g/7 = 0.
0, 1424
Solve 5*m**2/4 + 747130*m + 111640647380 = 0 for m.
-298852
Let 4*q**4 + 396*q**3 + 3464*q**2 - 8544*q = 0. Calculate q.
-89, -12, 0, 2
Determine u so that 5*u**4/4 - 2765*u**3/4 + 189045*u**2/2 + 288425*u + 193210 = 0.
-2, -1, 278
Let 2*q**3/13 - 314