e m**4 + 4916*m**3 + 180733*m**2 + 1024590*m = 0. Calculate m.
-4879, -30, -7, 0
Let w**2 - 230415*w - 230416 = 0. What is w?
-1, 230416
Factor t**3 - 2680*t**2 + 97753*t + 100434.
(t - 2643)*(t - 38)*(t + 1)
Factor n**2/3 - 1787056*n/3 - 3574124.
(n - 1787062)*(n + 6)/3
Determine f so that -2*f**5/23 + 22*f**4/23 + 1786*f**3/23 - 3662*f**2/23 - 1784*f/23 + 3640/23 = 0.
-26, -1, 1, 2, 35
Let 4*d**2 - 20018240*d + 25045620793600 = 0. What is d?
2502280
Let 2*r**2/3 - 1083678580*r/3 + 146794908093852050/3 = 0. What is r?
270919645
Factor 4*g**3/5 + 3003864*g**2/5 + 563942423421*g/5 - 563957442841.
(g - 5)*(2*g + 750971)**2/5
Determine q, given that -q**5 - 8668*q**4 + 26058*q**3 + 390272*q**2 + 667703*q + 312156 = 0.
-8671, -4, -1, 9
Let 5*g**5 + 445*g**4 - 6575*g**3 + 5675*g**2 + 6570*g - 6120 = 0. Calculate g.
-102, -1, 1, 12
Solve -51*f**5/2 + 63*f**4/2 + 83679*f**3/2 - 187023*f**2/2 + 61506*f - 9840 = 0 for f.
-41, 4/17, 1, 40
Factor 5*s**2 - 197210980*s + 1944608531628020.
5*(s - 19721098)**2
Determine i so that i**4/2 - 109*i**3 + 14377*i**2/2 - 136032*i + 778752 = 0.
13, 96
Factor -k**2/11 + 979002*k - 2635723519011.
-(k - 5384511)**2/11
Solve -6*t**2/5 - 74798306*t + 124663844/5 = 0.
-62331922, 1/3
Suppose 15126*x**4 - 892432*x**3 + 3388106*x**2 - 3327272*x - 440 = 0. Calculate x.
-1/7563, 2, 55
Find h, given that 6*h**4/11 + 1062*h**3/11 + 2688*h**2 - 37080*h/11 - 184032/11 = 0.
-142, -36, -2, 3
Solve 735*p**2 + 1603285*p + 545250 = 0 for p.
-2181, -50/147
What is n in -3*n**4 + 562113*n**3 - 9555054*n**2 = 0?
0, 17, 187354
Suppose -4*k**4 + 239016*k**3 - 3515143636*k**2 - 1655092583760*k - 191800894608400 = 0. What is k?
-230, 30107
Find i such that 26425455034*i**5/3 - 3454453089218*i**4 + 1795670528330*i**3/3 + 5232830298*i**2 + 14923404*i + 14112 = 0.
-3/1063, 2/11, 392
Suppose 3*z**3 - 1938*z**2 - 339336*z - 5987520 = 0. What is z?
-126, -20, 792
Let 285*m**3/4 - 34661*m**2/2 - 53151*m/4 - 2501 = 0. Calculate m.
-41/95, -1/3, 244
Factor -2*i**3 - 5350770*i**2 - 3578839773726*i + 3578845124498.
-2*(i - 1)*(i + 1337693)**2
Determine c so that c**2/7 + 37129*c/7 - 334242/7 = 0.
-37138, 9
Factor 3*a**2 + 27670668*a - 27670671.
3*(a - 1)*(a + 9223557)
Solve -a**3/4 - 65099*a**2/2 - 130197*a/4 = 0 for a.
-130197, -1, 0
Determine l so that 5*l**4 + 151063410*l**3 = 0.
-30212682, 0
Factor 2*i**5 + 71824442*i**4 + 859791768710040*i**3 + 3430781812317139333600*i**2 + 3430780952525442448000*i.
2*i*(i + 1)*(i + 11970740)**3
Solve 2*g**3/11 + 89560*g**2/11 - 537422*g/11 + 447860/11 = 0 for g.
-44786, 1, 5
Factor 3*v**3 + 32862*v**2 + 229833*v - 591138.
3*(v - 2)*(v + 9)*(v + 10947)
Factor -5*s**5 + 384365*s**4 - 9851529990*s**3 + 84250191993500*s**2 - 1597199881258040*s.
-5*s*(s - 25618)**3*(s - 19)
Suppose 4*x**2 + 1581744*x - 4745268 = 0. What is x?
-395439, 3
Factor 2*c**2/11 + 7951388*c/11 + 7903071390818/11.
2*(c + 1987847)**2/11
Find o such that 41067*o**5 + 876798*o**4 + 4404546*o**3 - 3807060*o**2 - 9182125*o - 1806250 = 0.
-425/39, -1, -2/9, 5/3
Factor y**2/4 + 340*y + 93951/4.
(y + 73)*(y + 1287)/4
Factor 2*i**2 + 24285836*i + 73725228777362.
2*(i + 6071459)**2
Find y, given that 6*y**4 - 264125*y**3 + 2902101026*y**2 + 102378037696*y + 66962124192 = 0.
-69/2, -2/3, 22028
Suppose a**2/5 + 12815916*a/5 + 41061925729764/5 = 0. What is a?
-6407958
Factor 12*d**2/5 - 3022023*d/5 + 15108615.
3*(d - 25)*(4*d - 1007241)/5
Let -c**5/4 - 423*c**4/4 - 1419*c**3/2 + 7891*c**2 + 81570*c + 187200 = 0. Calculate c.
-416, -6, -5, 10
Factor 2*d**2/17 - 122464268*d/17 + 1874687117096978/17.
2*(d - 30616067)**2/17
Suppose 67*a**3 + 13394*a**2 - 28487*a - 41814 = 0. What is a?
-202, -1, 207/67
Solve -g**2 + 473696*g - 473695 = 0 for g.
1, 473695
Factor 3*j**3 + 70544*j**2 + 117553*j - 282156.
(j + 3)*(j + 23513)*(3*j - 4)
Factor -4*v**4 + 2813032*v**3 + 39383036*v**2 + 137841312*v.
-4*v*(v - 703272)*(v + 7)**2
Suppose 11*b**4/2 + 6537*b**3/4 + 479435*b**2/4 + 574344*b + 76095 = 0. Calculate b.
-178, -114, -5, -3/22
What is h in 3*h**2/2 - 1272748*h + 848498 = 0?
2/3, 848498
Solve -2*u**4/7 + 978*u**3/7 - 92388*u**2/7 - 510592*u/7 + 2337024/7 = 0.
-8, 3, 136, 358
Solve 2*k**3 + 498242*k**2 + 3985790*k - 4484034 = 0 for k.
-249113, -9, 1
Suppose -187634*s**2 + 12759116*s - 272 = 0. Calculate s.
2/93817, 68
Factor -5*v**2 + 607680*v + 29180160.
-5*(v - 121584)*(v + 48)
Find q such that 2*q**2/5 + 32624*q/5 + 9231622 = 0.
-14747, -1565
Suppose 2*p**4 + 3338*p**3 - 98324*p**2 + 271576*p - 176592 = 0. What is p?
-1698, 1, 2, 26
What is l in 6*l**4 + 160*l**3 - 732*l**2 - 9760*l - 8874 = 0?
-29, -17/3, -1, 9
Let -5*b**4 + 2701105*b**3 - 27010665*b**2 + 62124335*b - 37814770 = 0. Calculate b.
1, 2, 7, 540211
Factor -4*w**2 - 3973752*w + 158956480.
-4*(w - 40)*(w + 993478)
Factor -k**2/3 + 15022*k/3 - 5007.
-(k - 15021)*(k - 1)/3
Factor 5*n**2 + 237819100*n + 2827896216240500.
5*(n + 23781910)**2
Suppose 12*w**5 + 104*w**4 - 236*w**3 - 1736*w**2 + 704*w + 1152 = 0. Calculate w.
-9, -4, -2/3, 1, 4
Let o**3/5 - 1703*o**2 - 3584233*o/5 - 3575717/5 = 0. Calculate o.
-401, -1, 8917
Suppose -2*c**4/3 - 43420*c**3/3 - 650986*c**2/3 - 2950688*c/3 - 1214920 = 0. What is c?
-21695, -7, -6, -2
Determine t, given that -125*t**5/2 - 676995*t**4 - 1814891715*t**3 + 99637792670*t**2 - 2715610755645*t/2 + 107987677605 = 0.
-5443, 2/25, 27
Let 36*l**4 + 211816*l**3 + 9830788*l**2 + 7470992*l - 2148016 = 0. What is l?
-5837, -46, -1, 2/9
Factor 2*k**3 + 168*k**2 - 54134*k + 472140.
2*(k - 122)*(k - 9)*(k + 215)
Solve -8*a**3/3 - 5518*a**2/3 + 609124*a/3 - 829498 = 0 for a.
-787, 17/4, 93
Factor o**3/2 + 5631*o**2/2 + 175843*o + 2511168.
(o + 22)*(o + 41)*(o + 5568)/2
Determine x so that -2*x**2/13 - 45248*x/13 - 1026950 = 0.
-22325, -299
Let -4*p**2 - 542392*p - 2711860 = 0. Calculate p.
-135593, -5
Suppose -26*x**3/11 - 245012*x**2/11 - 52647168*x - 8939556864/11 = 0. Calculate x.
-4704, -202/13
Find g, given that -2*g**4 - 43510*g**3 - 79544592*g**2 - 50456504448*g - 10781058714624 = 0.
-19811, -648
Factor k**2 + 2002651*k + 4005298.
(k + 2)*(k + 2002649)
Determine r so that -4*r**2/7 - 50171356*r/7 + 50171360/7 = 0.
-12542840, 1
What is w in -224835*w**3 - 449664*w**2 + 12*w = 0?
-2, 0, 2/74945
Suppose -12*a**4/7 - 2097*a**3/7 + 178428*a**2/7 + 326313*a/7 - 682560/7 = 0. What is a?
-237, -3, 5/4, 64
Factor f**3 - 76*f**2 + 1051*f + 3864.
(f - 56)*(f - 23)*(f + 3)
Let 12*u**5 + 314036*u**4 + 2061394664*u**3 + 89442831768*u**2 + 172702735628*u + 85320984500 = 0. Calculate u.
-13063, -125/3, -1
Suppose -2*l**5/9 + 152*l**4/3 - 9394*l**3/9 + 68980*l**2/9 - 23000*l + 206000/9 = 0. Calculate l.
2, 5, 10, 206
Find m such that -27*m**4/4 - 2121*m**3/2 + 8115*m**2/4 + 477*m/2 = 0.
-159, -1/9, 0, 2
Determine q so that -1034*q**3/13 + 257910*q**2/13 - 110556*q/13 = 0.
0, 222/517, 249
Suppose -2*t**2/3 - 9616*t/3 - 3851400 = 0. Calculate t.
-2450, -2358
Suppose 2*r**3 - 1373520*r**2 - 2747048*r = 0. Calculate r.
-2, 0, 686762
What is x in -5*x**2 - 329336590*x - 5423129475641405 = 0?
-32933659
Suppose -2*w**2/7 + 2867568*w/7 - 2867566/7 = 0. What is w?
1, 1433783
Factor 85*x**2 + 403195*x - 17494550.
5*(x - 43)*(17*x + 81370)
Factor 2*u**3 + 2118186*u**2 + 14827204*u.
2*u*(u + 7)*(u + 1059086)
Factor z**2 - 85886*z - 1374432.
(z - 85902)*(z + 16)
Solve 21*o**2 + 124794468*o - 35655564 = 0 for o.
-5942594, 2/7
Solve 3*j**4 - 1599*j**3 - 318579*j**2 + 188940771*j + 2310339348 = 0 for j.
-333, -12, 439
What is k in 19*k**2/4 + 1525*k/4 - 1563/2 = 0?
-1563/19, 2
Determine s, given that 4*s**5 + 1248*s**4 + 93676*s**3 + 670368*s**2 - 93680*s - 671616 = 0.
-198, -106, -8, -1, 1
Factor -5*m**3 + 79865*m**2 - 638600*m.
-5*m*(m - 15965)*(m - 8)
Factor 2*g**4 + 35212*g**3 + 157361538*g**2 + 20915223760*g + 705624480800.
2*(g + 68)**2*(g + 8735)**2
Factor -4*a**2 - 461360*a - 18909036.
-4*(a + 41)*(a + 115299)
Factor -2*l**2 + 11682872*l - 17061187271048.
-2*(l - 2920718)**2
Factor 4*o**4 + 1230184*o**3 + 95153625124*o**2 + 87509601389184*o + 20240966874645504.
4*(o + 464)**2*(o + 153309)**2
Determine l, given that -3*l**4/4 - 62711*l**3/2 + 28038633*l**2/4 - 393047892*l + 258925815 = 0.
-42030, 2/3, 111
What is l in 5*l**3 + 94906985*l**2 + 450367406984280*l + 5854760251526160 = 0?
-9490692, -