9*v/4 + 153/2.
-(v - 17)*(v + 2)*(v + 3)**2/4
Find r, given that 256*r**5/3 + 4064*r**4/3 + 13169*r**3/3 + 15709*r**2/3 + 2116*r = 0.
-12, -23/16, -1, 0
Let -2*m**4/9 - 122*m**3/9 - 1090*m**2/9 + 4154*m/9 - 980/3 = 0. Calculate m.
-49, -15, 1, 2
Determine o so that -2*o**5/13 + 86*o**4/13 + 800*o**3/13 + 880*o**2/13 - 3168*o/13 - 4896/13 = 0.
-6, -2, 2, 51
Suppose 65*r**3 + 21180*r**2 + 1723725*r - 265690 = 0. What is r?
-163, 2/13
Suppose 6945*h**2 - 76400*h + 55 = 0. What is h?
1/1389, 11
Suppose 4*w**3 - 3256*w**2 + 272444*w + 557944 = 0. Calculate w.
-2, 97, 719
Determine u, given that 5304*u**5/7 + 43364*u**4/7 + 103820*u**3/7 + 24804*u**2/7 - 119124*u/7 - 1080/7 = 0.
-3, -2/221, 5/6
Find g, given that 2*g**3/9 - 4744*g**2/9 + 2855402*g/9 - 5541316 = 0.
18, 1177
Factor f**4 + 364*f**3 - 6915*f**2 - 14918*f - 7640.
(f - 20)*(f + 1)**2*(f + 382)
Determine q so that -5*q**3/3 + 2770*q**2 - 38535*q + 403760/3 = 0.
7, 1648
Suppose 4*w**4 + 244*w**3 - 6324*w**2 - 426564*w = 0. Calculate w.
-51, 0, 41
Factor -2*a**4 - 532*a**3 + 1610*a**2 - 1076*a.
-2*a*(a - 2)*(a - 1)*(a + 269)
Suppose 2*l**5 - 2*l**4/3 - 2030*l**3 + 4054*l**2 - 6076*l/3 = 0. Calculate l.
-98/3, 0, 1, 31
Factor -3*z**3 - 759*z**2 + 14391*z - 65853.
-3*(z - 9)**2*(z + 271)
What is x in 12*x**3 - 7840*x**2 - 93012*x - 58520 = 0?
-11, -2/3, 665
Find z such that -z**4 - 14948*z**3/3 - 6208402*z**2 - 4135060*z + 6205081/3 = 0.
-2491, -1, 1/3
Determine x so that x**3 - 127*x**2 + 3232*x + 46020 = 0.
-10, 59, 78
Factor -2*f**3 + 1176*f**2 - 212346*f + 10836172.
-2*(f - 251)**2*(f - 86)
Find v such that -4*v**5/7 + 316*v**4/7 - 520*v**3/7 - 7592*v**2/7 + 15500*v/7 - 1100 = 0.
-5, 1, 5, 77
Find v, given that -1690*v**4/11 - 2184*v**3/11 + 2144*v**2/11 - 480*v/11 + 32/11 = 0.
-2, 2/13, 2/5
Let -3*h**4/2 + 2079*h**3/2 + 6291*h**2 = 0. What is h?
-6, 0, 699
Solve -j**2/5 + 4247*j + 21236/5 = 0 for j.
-1, 21236
Let -m**2 - 840*m - 10751 = 0. Calculate m.
-827, -13
Find v, given that -2*v**4 - 16*v**3 + 162*v**2 - 104*v - 280 = 0.
-14, -1, 2, 5
What is j in 5*j**4 + 4330*j**3 + 1073105*j**2 + 58740780*j + 920181780 = 0?
-399, -34
Solve 2*c**2/7 - 3456*c/7 - 20808/7 = 0.
-6, 1734
Solve -76*b**4 - 1260*b**3 + 23952*b**2 - 9856*b = 0.
-28, 0, 8/19, 11
Find b such that -b**3 - 695*b**2/4 - 1887*b/4 - 513/2 = 0.
-171, -2, -3/4
Determine g so that -g**2/5 + 266*g/5 + 9536/5 = 0.
-32, 298
Find o, given that -o**2/6 - 665*o/6 + 2401 = 0.
-686, 21
Suppose 15*r**4 - 2496*r**3 + 106776*r**2 - 244032*r + 80688 = 0. Calculate r.
2/5, 2, 82
Determine o so that 5*o**3 + 1175*o**2 + 62660*o - 63840 = 0.
-152, -84, 1
Find g such that -5*g**3 - 3580*g**2 - 106260*g + 221981760 = 0.
-462, 208
Factor d**2/6 - 4531*d + 61589883/2.
(d - 13593)**2/6
Suppose -l**3 - 1551*l**2 - 589599*l + 9196335 = 0. Calculate l.
-783, 15
Factor 2*x**3/3 - 8416*x**2/3 - 33706*x/3 + 14040.
2*(x - 4212)*(x - 1)*(x + 5)/3
Factor 5*g**4 + 65*g**3 - 80*g**2 - 140*g.
5*g*(g - 2)*(g + 1)*(g + 14)
Determine c so that c**2 - 17484*c + 139808 = 0.
8, 17476
Factor -3*f**2 - 17895*f + 17898.
-3*(f - 1)*(f + 5966)
Solve 2*m**3/7 - 1734*m**2/7 + 6904*m/7 = 0.
0, 4, 863
Solve d**4/4 - 421*d**3/2 + 173841*d**2/4 + 357850*d + 722500 = 0.
-4, 425
Factor 4*v**2/3 + 25220*v/3 - 8408.
4*(v - 1)*(v + 6306)/3
Factor 4*q**2/7 + 2180*q/7 - 24464/7.
4*(q - 11)*(q + 556)/7
Suppose 4*s**3/3 + 384000*s**2 + 27648000000*s = 0. What is s?
-144000, 0
Solve -120*w**3 - 718*w**2 - 948*w + 16 = 0 for w.
-4, -2, 1/60
Let -5*j**3 - 560*j**2 - 9295*j - 8740 = 0. Calculate j.
-92, -19, -1
Factor -2*j**3 - 514*j**2 - 6902*j - 23814.
-2*(j + 7)**2*(j + 243)
What is z in 72361*z**4/4 - 123230245*z**3/2 + 209858358597*z**2/4 + 780152815*z + 2900209 = 0?
-2/269, 1703
Factor 2*t**4/19 + 13876*t**3/19 + 290808*t**2/19 + 2034284*t/19 + 4745062/19.
2*(t + 7)**3*(t + 6917)/19
Find c, given that -2*c**4/11 - 364*c**3/11 + 1856*c**2/11 - 2612*c/11 + 102 = 0.
-187, 1, 3
Let 3*y**5 + 1257*y**4 - 2538*y**3 - 5046*y**2 + 2535*y + 3789 = 0. Calculate y.
-421, -1, 1, 3
Factor -847624996*q**4 - 1630384*q**3 - 784*q**2.
-4*q**2*(14557*q + 14)**2
Factor -7*i**3/4 - 73*i**2 - 539*i + 160.
-(i + 10)*(i + 32)*(7*i - 2)/4
Determine w, given that 2*w**2/5 - 4958*w + 222948/5 = 0.
9, 12386
Suppose -4*o**2 + 26236*o - 183456 = 0. What is o?
7, 6552
Factor 4*k**3 + 4400*k**2 + 4396*k.
4*k*(k + 1)*(k + 1099)
Let -2*r**5/13 - 170*r**4/13 + 21238*r**3/13 + 132698*r**2/13 + 68156*r/13 - 221920/13 = 0. Calculate r.
-152, -5, -2, 1, 73
What is v in -27*v**5 + 5067*v**4 - 8394*v**3 + 4468*v**2 - 744*v = 0?
0, 1/3, 2/3, 186
What is n in -12*n**4/5 - 2216*n**3 - 9516*n**2 + 38208*n - 102928/5 = 0?
-919, -7, 2/3, 2
Determine r, given that -3*r**2 - 126240*r = 0.
-42080, 0
Find j such that j**3 - 135*j**2 - 26464*j + 53460 = 0.
-110, 2, 243
Determine f, given that -f**3/4 + 81*f**2 + 6075*f/4 + 13851/2 = 0.
-9, 342
Find i, given that -78*i**4 - 556*i**3 + 7206*i**2/13 + 1068*i/13 - 32/13 = 0.
-8, -2/13, 1/39, 1
Suppose 5*t**5 + 320*t**4 + 6585*t**3 + 37730*t**2 - 128260*t - 159720 = 0. Calculate t.
-22, -1, 3
Factor -15870625023391735*f**4 + 47612846985726810*f**3 - 2915766494820*f**2 + 59520150*f - 405.
-5*(f - 3)*(146963*f - 3)**3
Suppose -k**5 + 1013*k**4 + 4065*k**3 + 3051*k**2 = 0. What is k?
-3, -1, 0, 1017
Find k such that 4*k**4 + 197*k**3 - 1519*k**2 - 392*k = 0.
-56, -1/4, 0, 7
Factor 68*x**2/5 - 268*x/5 - 72.
4*(x - 5)*(17*x + 18)/5
Find j such that -2*j**3/11 - 227968*j**2/11 - 6496176128*j/11 = 0.
-56992, 0
Find a, given that a**5/2 + 141*a**4/2 + 1836*a**3 - 51284*a**2 - 224952*a - 231192 = 0.
-78, -2, 19
Factor -4*p**2/5 - 1448*p/5.
-4*p*(p + 362)/5
Factor -q**2/4 + 1625*q/2 + 6516.
-(q - 3258)*(q + 8)/4
Suppose 3*k**3 + 244149*k**2 + 976557*k + 732411 = 0. Calculate k.
-81379, -3, -1
Determine k so that 2*k**2 - 3236*k + 79650 = 0.
25, 1593
Factor -g**3/4 - 2597*g**2 + 51959*g/4 - 31179/2.
-(g - 3)*(g - 2)*(g + 10393)/4
Factor -m**2/4 + 589*m + 10683.
-(m - 2374)*(m + 18)/4
Solve q**2 + 494*q + 14784 = 0.
-462, -32
Determine b so that -b**3/2 + 573*b**2/2 - 36240*b - 1413662 = 0.
-31, 302
Factor -2*c**4 + 356*c**3 + 718*c**2 + 360*c.
-2*c*(c - 180)*(c + 1)**2
Let -2*b**5/5 + 38*b**4/5 + 68*b**3 + 624*b**2/5 = 0. Calculate b.
-4, -3, 0, 26
Suppose -p**3 + 310*p**2 - 7372*p - 2935608 = 0. Calculate p.
-78, 194
Factor 4*h**2/9 + 590*h/9 - 3250/3.
2*(h - 15)*(2*h + 325)/9
Let -3*d**4 - 150*d**3 - 699*d**2 - 1092*d - 540 = 0. Calculate d.
-45, -2, -1
Factor 5*d**4 - 785*d**3 + 25075*d**2 + 469625*d.
5*d*(d - 85)**2*(d + 13)
Factor 3*f**3/8 + 8040*f**2 - 128649*f/8 + 32163/4.
3*(f - 1)**2*(f + 21442)/8
Determine h so that 2*h**3/9 - 235906*h**2/3 + 20869247360*h/3 + 62608449800/9 = 0.
-1, 176930
Factor 3*a**2/8 - 10245*a/8 - 84825.
3*(a - 3480)*(a + 65)/8
Factor -3*w**2 - 936*w + 18867.
-3*(w - 19)*(w + 331)
Suppose -4*n**3 - 960*n**2 - 29172*n - 238136 = 0. What is n?
-206, -17
Let 4*z**2/11 - 434*z/11 - 218/11 = 0. Calculate z.
-1/2, 109
What is c in 5*c**5 + 100*c**4 + 660*c**3 + 1790*c**2 + 1975*c + 750 = 0?
-10, -5, -3, -1
Find m such that 5*m**2 - 8250*m + 41125 = 0.
5, 1645
Factor -t**2/3 - 55*t + 6076/3.
-(t - 31)*(t + 196)/3
Factor -a**4/7 - 1376*a**3/7 + 71300*a**2/7.
-a**2*(a - 50)*(a + 1426)/7
What is k in -k**2/2 - 51*k/2 + 270 = 0?
-60, 9
Solve m**5/8 - 281*m**4/8 + 557*m**3/8 + 281*m**2/8 - 279*m/4 = 0 for m.
-1, 0, 1, 2, 279
Factor 2*r**2/7 - 3824*r/7 - 61696/7.
2*(r - 1928)*(r + 16)/7
Factor -z**3/2 + 963*z**2 - 462720*z - 929296.
-(z - 964)**2*(z + 2)/2
Suppose x**2 + 9656*x - 9657 = 0. What is x?
-9657, 1
Determine a so that -2*a**3 + 146*a**2 + 780*a = 0.
-5, 0, 78
What is i in -12*i**5 + 28*i**4 + 184*i**3 - 224*i**2 - 768*i = 0?
-8/3, -2, 0, 3, 4
Factor 3*o**3/5 - 984*o**2/5 + 96348*o/5 - 591408.
3*(o - 180)*(o - 74)**2/5
Determine y so that -252*y**4/5 + 543*y**3/5 + 156*y**2/5 - 105*y + 114/5 = 0.
-1, 1/4, 19/21, 2
Factor -3*h**3 - 16881*h**2 - 16878*h.
-3*h*(h + 1)*(h + 5626)
Solve -4*b**4/7 + 116*b**3/7 - 412*b**2/7 + 300*b/7 = 0.
0, 1, 3, 25
Factor -30*o**3 - 1274*o**2/3 - 4606*o/3 - 686/3.
-2*(o + 7)**2*(45*o + 7)/3
Factor -r**3 + 169*r**2 - 3624*r + 20880.
-(r - 145)*(r - 12)**2
Factor -3*v**2/4 + 7155*v/4 - 77979/2.
-3*(v - 2363)*(v - 22)/4
Factor -5*d**3/3 - 350*