)
Let m**2/4 - 173*m/4 - 1615/2 = 0. What is m?
-17, 190
Factor t**2 - 1300321*t/2 + 325080.
(t - 650160)*(2*t - 1)/2
Factor -q**2/3 - 3136*q/3 - 1045.
-(q + 1)*(q + 3135)/3
Determine t so that 2*t**2/3 - 82*t + 5320/3 = 0.
28, 95
Factor 36*h**3 - 43000*h**2 - 110172*h + 57456.
4*(h - 1197)*(h + 3)*(9*h - 4)
Factor -2*h**2 + 100*h - 282.
-2*(h - 47)*(h - 3)
Suppose -3*x**2 + 85659*x - 1284210 = 0. Calculate x.
15, 28538
Find u such that -3*u**2/2 - 14070*u - 32994150 = 0.
-4690
Factor 5*s**3/3 + 7256*s**2 + 7895979*s - 9478658/3.
(s + 2177)**2*(5*s - 2)/3
Factor -3*z**4/2 - 573*z**3 - 123327*z**2/2 - 1325922*z - 8031894.
-3*(z + 13)**2*(z + 178)**2/2
Factor p**4 - 9*p**3 - 21*p**2 - 11*p.
p*(p - 11)*(p + 1)**2
Suppose 2*f**5/15 + 81994*f**4/15 + 81992*f**3/15 = 0. Calculate f.
-40996, -1, 0
Let -3*x**4 + 9108*x**3 + 63903*x**2 = 0. What is x?
-7, 0, 3043
Factor -4*l**2 + 20112*l - 60300.
-4*(l - 5025)*(l - 3)
Find j such that -2*j**3 - 580*j**2 - 1726*j - 1148 = 0.
-287, -2, -1
Let -3*f**4/8 - 33*f**3/2 + 207*f**2/4 - 105*f/2 + 141/8 = 0. What is f?
-47, 1
Factor -2*w**3/13 - 8646*w**2/13 - 8644*w/13.
-2*w*(w + 1)*(w + 4322)/13
Let -g**3/2 + 1829*g**2/2 + 11005*g/2 + 9175/2 = 0. Calculate g.
-5, -1, 1835
Let -20*a**2 - 18168*a - 43488 = 0. Calculate a.
-906, -12/5
Suppose -4*m**3 - 15324*m**2 + 572320*m - 556992 = 0. What is m?
-3868, 1, 36
Factor 5*y**2 - 476640*y + 11359284480.
5*(y - 47664)**2
Suppose 405*s**3 + 3195*s**2 - 110350*s + 24360 = 0. Calculate s.
-21, 2/9, 116/9
Let -j**5/7 + 1842*j**4/7 - 1095888*j**3/7 + 187729280*j**2/7 + 13631542272*j/7 = 0. What is j?
-54, 0, 632
Let 5*n**2 - 20*n - 585 = 0. What is n?
-9, 13
Determine k so that -2*k**4/5 - 474*k**3/5 + 100*k**2 + 5712*k/5 = 0.
-238, -3, 0, 4
Factor 5*c**3 + 435*c**2 - 10890*c + 48600.
5*(c - 15)*(c - 6)*(c + 108)
Determine v, given that -16*v**3 + 2020*v**2 - 13858*v + 6426 = 0.
1/2, 27/4, 119
Factor -2*s**4/3 + 2000*s**3/3 - 591850*s**2/3 + 43565500*s/3.
-2*s*(s - 445)**2*(s - 110)/3
Let 219*i**2 + 417*i - 720 = 0. Calculate i.
-3, 80/73
Suppose 162*y**4 + 645660*y**3 + 358586*y**2 - 255032*y + 31880 = 0. What is y?
-3985, -1, 2/9
Factor 2*q**3 + 692*q**2 + 60770*q + 176136.
2*(q + 3)*(q + 164)*(q + 179)
Find v such that -3*v**2 - 963*v + 3900 = 0.
-325, 4
Factor b**3/2 - 151*b**2 + 4017*b/2 + 2160.
(b - 288)*(b - 15)*(b + 1)/2
Factor -5*f**2 + 47855*f - 143520.
-5*(f - 9568)*(f - 3)
Factor 3*v**2/5 + 591*v/5 + 27306/5.
3*(v + 74)*(v + 123)/5
What is p in -4*p**3 - 41796*p**2 - 83580*p - 41788 = 0?
-10447, -1
Solve -4*b**5 + 100*b**4 + 24*b**3 - 2880*b**2 = 0 for b.
-5, 0, 6, 24
Solve -4*l**5 - 188*l**4/5 + 128*l**3/5 + 2384*l**2/5 - 3456*l/5 = 0.
-8, -27/5, 0, 2
Find c such that -2*c**4 + 5702*c**3 - 4015164*c**2 - 70019352*c + 74028816 = 0.
-18, 1, 1434
Determine h, given that 2*h**4/13 + 6*h**3/13 - 354*h**2/13 + 1082*h/13 + 1440/13 = 0.
-16, -1, 5, 9
Find q, given that -4*q**4 - 1040*q**3 - 27996*q**2 + 91328*q - 62288 = 0.
-229, -34, 1, 2
Factor s**3/5 - 8*s**2 + 391*s/5 - 216.
(s - 27)*(s - 8)*(s - 5)/5
Find g such that -g**2/4 + 8581*g/4 - 25725/2 = 0.
6, 8575
Solve -p**3/3 + 1734*p**2 - 2193152*p - 486394720/3 = 0.
-70, 2636
Factor -2*y**2 - 9786*y - 675220.
-2*(y + 70)*(y + 4823)
Factor v**3 + 155*v**2 - 3521*v - 3675.
(v - 21)*(v + 1)*(v + 175)
What is k in -k**4/3 + 298*k**3 + 3*k**2 - 2682*k = 0?
-3, 0, 3, 894
Determine t, given that t**2/6 - 195209*t/6 + 97604/3 = 0.
1, 195208
Factor -m**2 - 7511*m.
-m*(m + 7511)
Find x, given that -5*x**4/3 + 2060*x**3 - 628220*x**2 - 15475360*x/3 = 0.
-8, 0, 622
Factor 2*c**3 - 18760*c**2 + 149934*c + 168696.
2*(c - 9372)*(c - 9)*(c + 1)
Solve -168*a**3 + 1989*a**2 + 330*a - 72 = 0.
-2/7, 1/8, 12
Solve -4*y**3/13 + 7990*y**2/13 + 3696*y + 72126/13 = 0 for y.
-3, 4007/2
Suppose a**5 - 74*a**4 + 933*a**3 + 16884*a**2 + 15876*a = 0. Calculate a.
-9, -1, 0, 42
Suppose -n**3/3 + 564*n**2 - 61271*n/3 + 19860 = 0. What is n?
1, 36, 1655
Factor -3*v**2/4 - 3015*v/4 - 3003.
-3*(v + 4)*(v + 1001)/4
Factor -i**3/3 + 794*i**2/3 + 3991*i/3 + 3196/3.
-(i - 799)*(i + 1)*(i + 4)/3
Factor -w**5 - 444*w**4 - 68160*w**3 - 3952144*w**2 - 51539184*w.
-w*(w + 18)*(w + 142)**3
Factor 12*z**2 + 2832020*z - 944008.
4*(z + 236002)*(3*z - 1)
Factor j**4/3 - 47*j**3/3 - 97*j**2/3 - 49*j/3.
j*(j - 49)*(j + 1)**2/3
Let 3*y**2 - 558960*y + 26036356800 = 0. Calculate y.
93160
Solve -4*n**3 + 40*n**2 - 36*n = 0 for n.
0, 1, 9
Find j, given that -3*j**4 - 54*j**3 + 216*j**2 + 582*j + 315 = 0.
-21, -1, 5
Find m such that 3*m**3 - 282*m**2 + 3315*m + 3600 = 0.
-1, 15, 80
Determine i, given that 5*i**4 - 3855*i**3 - 192230*i**2 = 0.
-47, 0, 818
Suppose -2*q**4 - 8*q**3 + 184*q**2 - 192*q - 1152 = 0. What is q?
-12, -2, 4, 6
Suppose 3*q**2 - 75*q - 9798 = 0. What is q?
-46, 71
Factor j**2 + 2552*j - 7665.
(j - 3)*(j + 2555)
Factor -5*l**4 + 140*l**3 - 975*l**2 - 140*l + 980.
-5*(l - 14)**2*(l - 1)*(l + 1)
Let -2*w**3/7 - 228*w**2 + 1602*w/7 + 3196/7 = 0. Calculate w.
-799, -1, 2
Suppose -53792*x**3/13 - 154160*x**2/13 + 512750*x/13 - 306250/13 = 0. Calculate x.
-5, 175/164
What is a in -a**2 + 344*a - 4303 = 0?
13, 331
Determine s so that -4*s**5 - 20*s**4 + 2208*s**3 - 16704*s**2 = 0.
-29, 0, 12
Solve 3*v**3 - 83322*v**2 + 166635*v - 83316 = 0.
1, 27772
Let 2*x**3/3 - 3052*x**2/3 + 389128*x - 774192 = 0. What is x?
2, 762
What is c in -24*c**4 - 940*c**3 - 3792*c**2 - 1664*c = 0?
-104/3, -4, -1/2, 0
What is m in -7*m**3 + 6292*m**2 + 7199*m + 900 = 0?
-1, -1/7, 900
Find m such that 11602*m**3 - 23198*m**2 + 11590*m + 6 = 0.
-3/5801, 1
Solve 3*d**4/2 + 5412*d**3 + 5392824*d**2 + 922204800*d + 43554240000 = 0.
-1704, -100
Factor 5*u**2 + 2520*u + 39040.
5*(u + 16)*(u + 488)
Factor 3*p**2 - 2793*p + 27630.
3*(p - 921)*(p - 10)
Find w such that 5*w**4/2 - 50*w**3 - 5*w**2/2 + 50*w = 0.
-1, 0, 1, 20
Solve 22*w**2 - 6626*w/7 + 172/7 = 0 for w.
2/77, 43
Let -5*k**5/3 + 5910*k**4 - 15646550*k**3/3 - 42026060*k**2 - 205145765*k/3 - 31577290 = 0. What is k?
-6, -1, 1777
Factor -3*r**4/7 - 24*r**3 - 324*r**2/7.
-3*r**2*(r + 2)*(r + 54)/7
Solve 5*v**3/3 + 11570*v**2 - 69440*v/3 = 0.
-6944, 0, 2
Factor -z**2/4 + 2597*z/4 - 649.
-(z - 2596)*(z - 1)/4
Let -b**4/5 - 7699*b**3/5 + 7706*b**2/5 + 9240*b = 0. Calculate b.
-7700, -2, 0, 3
Factor m**5 + 53*m**4 + 970*m**3 + 6698*m**2 + 10693*m + 4913.
(m + 1)**2*(m + 17)**3
Factor o**3/4 + 1975*o**2/2 + 4075977*o/4 + 85583943.
(o + 92)*(o + 1929)**2/4
Factor -3*s**3 + 55989*s**2.
-3*s**2*(s - 18663)
Factor -3*a**2/2 - 147*a/2 + 9309.
-3*(a - 58)*(a + 107)/2
Factor 4*q**3 - 724*q**2 + 8156*q - 7436.
4*(q - 169)*(q - 11)*(q - 1)
What is o in 46*o**5/3 + 1330*o**4/3 - 150904*o**3/3 + 2402168*o**2/3 - 1464704*o + 121344 = 0?
-79, 2/23, 2, 24
Factor 5*f**4 - 3215*f**3 + 28650*f**2 - 76160*f + 50720.
5*(f - 634)*(f - 4)**2*(f - 1)
Factor 3*i**2 - 22854*i + 43525443.
3*(i - 3809)**2
Factor -4*r**3 - 415220*r**2.
-4*r**2*(r + 103805)
Solve 4*d**4 + 56*d**3 - 7764*d**2 + 7576*d + 15392 = 0 for d.
-52, -1, 2, 37
Let 2*l**4/5 + 198*l**3/5 + 1478*l**2/5 + 1962*l/5 - 728 = 0. What is l?
-91, -5, -4, 1
Determine g, given that -3*g**4 + 45*g**3 - 141*g**2 + 99*g = 0.
0, 1, 3, 11
Find v, given that -3*v**3 + 720*v**2 + 39204*v + 75504 = 0.
-44, -2, 286
Factor -2*j**2/3 - 53699*j/3 + 26851.
-(j + 26851)*(2*j - 3)/3
Determine n so that -2*n**5/5 + 4818*n**4/5 + 5802*n**3 - 72362*n**2/5 - 212688*n/5 + 81144 = 0.
-7, -3, 2, 2415
Solve -691321849*i**5/4 - 691952881*i**4/4 - 157794*i**3 - 36*i**2 = 0.
-1, -12/26293, 0
Let -u**4/4 - 309*u**3/4 + 783*u**2/2 - 314*u = 0. Calculate u.
-314, 0, 1, 4
Let 5*k**5 - 180*k**4 + 535*k**3 + 3880*k**2 - 17040*k + 12800 = 0. What is k?
-5, 1, 4, 32
Solve -1830*p**3 - 12805*p**2 + 32975*p - 90 = 0 for p.
-9, 1/366, 2
Find k, given that 6*k**5/11 - 552*k**4/11 + 3138*k**3/11 - 3576*k**2/11 - 3144*k/11 + 4128/11 = 0.
-1, 1, 2, 4, 86
Suppose d**3/3 - 1649*d**2 + 2063101*d - 175353749/3 = 0. Calculate d.
29, 2459
Let y**3/3 + 239*y**2/3 + 1212*y - 10212 = 0. Calculate y.
-222, -23, 6
Determine g, given that -73441*g**3/4 + 8401*g**2 - 961*g = 0.
0, 62/271
Suppose -3*s**4/7 + 681*s**3/7 - 1638*s**2 + 37788*s/7 - 5016 = 0. Calculate s.
2, 14, 209
Determine n, given that -3*n**4 - 54*n**3 + 3639*n**2 - 10350*n = 0.
-46,