*k**2 + 66705*k + 82530 = 0. What is k?
-7, -1, 3, 786
Find g such that 10*g**5/9 - 34*g**4/9 - 148*g**3/9 - 56*g**2/9 + 16*g/3 = 0.
-2, -1, 0, 2/5, 6
Find c such that -8*c**2/5 + 63306*c/5 + 47484/5 = 0.
-3/4, 7914
Factor g**3 - 1141361*g**2 + 325675662399*g + 325676803761.
(g - 570681)**2*(g + 1)
Let -3*m**5 + 102*m**4 - 1083*m**3 + 3828*m**2 - 5340*m + 2496 = 0. What is m?
1, 2, 13, 16
Factor -5*a**3 - 549480*a**2 - 549475*a.
-5*a*(a + 1)*(a + 109895)
Determine m so that m**3 + 2882*m**2 - m - 2882 = 0.
-2882, -1, 1
Factor -m**3/8 + 453*m**2/4 - 51975*m/2 + 151875.
-(m - 450)**2*(m - 6)/8
Factor -3*v**3 + 9819*v**2 - 78408*v + 156720.
-3*(v - 3265)*(v - 4)**2
Let -y**5 - 218*y**4 - 9003*y**3 + 11862*y**2 + 110808*y = 0. What is y?
-162, -57, -3, 0, 4
Factor -r**2 + 115622*r - 3342111721.
-(r - 57811)**2
Factor -3*t**2 + 1965*t - 5868.
-3*(t - 652)*(t - 3)
What is f in -f**4/10 - 27*f**3/10 - 59*f**2/5 - 18*f - 44/5 = 0?
-22, -2, -1
Factor -w**4/8 + 2069*w**3 + 16553*w**2/8.
-w**2*(w - 16553)*(w + 1)/8
Factor 2*d**2/15 - 167486*d/15 - 167488/15.
2*(d - 83744)*(d + 1)/15
Factor 5*d**4 - 2935*d**3 - 8850*d**2 - 20*d + 11800.
5*(d - 590)*(d - 1)*(d + 2)**2
Factor 4*w**3 + 5368*w**2 + 16076*w + 10712.
4*(w + 1)*(w + 2)*(w + 1339)
What is o in 906*o**2/11 - 824*o + 40/11 = 0?
2/453, 10
Suppose -2*z**2/15 + 246052*z/15 - 7567698338/15 = 0. What is z?
61513
Let -5*q**5 + 155*q**3 + 530*q**2 + 660*q + 280 = 0. Calculate q.
-2, -1, 7
Let 3*n**3 + 120138*n**2 - 480588*n + 480600 = 0. Calculate n.
-40050, 2
Let -2*p**3 + 912*p**2 + 8390*p - 9300 = 0. What is p?
-10, 1, 465
Let -3*o**4 + 120*o**3 + 8697*o**2 - 135282*o + 486864 = 0. Calculate o.
-46, 7, 72
Determine k so that 3*k**2/2 + 561*k/2 + 1365 = 0.
-182, -5
Let 2*l**2 + 346900*l + 15042451250 = 0. Calculate l.
-86725
Find q, given that -1568*q**3/5 + 31696*q**2/5 - 6738*q/5 + 72 = 0.
3/28, 20
Let -882*b**3 + 669*b**2 + 240*b - 27 = 0. Calculate b.
-1/3, 9/98, 1
Factor 2*q**4 + 350*q**3 + 14848*q**2 - 15200*q.
2*q*(q - 1)*(q + 76)*(q + 100)
Factor -2*v**4/23 + 6428*v**3/23 + 12864*v**2/23.
-2*v**2*(v - 3216)*(v + 2)/23
Factor v**2 - 500518*v + 62629567081.
(v - 250259)**2
Determine h, given that 1755*h**2/2 + 737*h + 28 = 0.
-4/5, -14/351
Factor z**3 + 21*z**2/2 - 41*z/2 - 285.
(z - 5)*(z + 6)*(2*z + 19)/2
Factor 3*k**5/7 - 1269*k**4/7 + 57825*k**3/7 - 699375*k**2/7.
3*k**2*(k - 373)*(k - 25)**2/7
Let -4802*z**3/15 - 5194*z**2/15 - 80*z/3 - 8/15 = 0. What is z?
-1, -2/49
Let 2*t**2/5 + 68594*t/5 - 137196/5 = 0. What is t?
-34299, 2
What is l in l**4 + 12*l**3 - 263*l**2 - 3558*l - 5984 = 0?
-16, -11, -2, 17
Determine q so that 2*q**3/5 - 8404*q**2/5 + 8743762*q/5 + 35650568 = 0.
-20, 2111
Let 5*z**2 + 1475*z + 80280 = 0. Calculate z.
-223, -72
Factor 63*v**3 + 9417*v**2 + 358752*v + 509268.
3*(v + 74)**2*(21*v + 31)
What is l in l**2/8 - 169*l/2 + 9915/8 = 0?
15, 661
Find a such that -12*a**5 - 1468*a**4 + 31692*a**3 + 14604*a**2 - 87680*a + 42864 = 0.
-141, -2, 2/3, 1, 19
Solve -5*l**3 + 24575*l**2 - 30404335*l + 509796085 = 0.
17, 2449
What is f in -2*f**2 + 696*f + 69498 = 0?
-81, 429
Let 2*d**4/11 - 123924*d**3/11 + 1919644720*d**2/11 + 123924*d/11 - 1919644722/11 = 0. Calculate d.
-1, 1, 30981
Determine t so that -5*t**5/6 + 535*t**4/6 - 1555*t**3 + 27895*t**2/3 - 83545*t/6 - 49735/2 = 0.
-1, 7, 87
Suppose -c**3/5 - 113*c**2/5 - 2348*c/5 - 2236/5 = 0. What is c?
-86, -26, -1
Determine c so that -3*c**3/5 - 12111*c**2/5 + 12114*c/5 = 0.
-4038, 0, 1
Factor -4*c**2 - 115432*c + 115436.
-4*(c - 1)*(c + 28859)
Factor 5*r**2 + 220230*r + 2425062645.
5*(r + 22023)**2
Suppose -4*z**2 + 15844*z + 238560 = 0. Calculate z.
-15, 3976
Factor 2*m**3/5 - 41994*m**2/5 - 83994*m/5 - 41998/5.
2*(m - 20999)*(m + 1)**2/5
Solve -364*s**5/3 - 1324*s**4/3 - 236*s**3/3 + 1612*s**2/3 + 200*s - 96 = 0 for s.
-3, -1, -12/13, 2/7, 1
Factor 2*b**2 - 836484*b + 87463185282.
2*(b - 209121)**2
Suppose -b**4 + 1817*b**3 - 723736*b**2 - 95124480*b + 95846400 = 0. Calculate b.
-104, 1, 960
Factor -b**3/3 + 5188*b**2/3.
-b**2*(b - 5188)/3
Solve k**4 - 5595*k**3/4 + 1986217*k**2/4 - 5173770*k - 1324499 = 0.
-1/4, 11, 694
Suppose 9745*l**4/4 - 19487*l**3/2 - 9769*l**2/4 + 19487*l/2 + 6 = 0. Calculate l.
-1, -6/9745, 1, 4
What is l in 2*l**2 + 128744*l + 128742 = 0?
-64371, -1
Factor -2*f**4/7 + 66606*f**3/7 - 739393206*f**2/7 + 2736001326602*f/7.
-2*f*(f - 11101)**3/7
Factor 2*k**3/17 + 1996*k**2/17 + 21714*k/17.
2*k*(k + 11)*(k + 987)/17
Let -f**5/5 - 2551*f**4/5 + 2552*f**3/5 = 0. What is f?
-2552, 0, 1
What is k in 89042*k**2/3 - 1085384*k/3 + 3307592/3 = 0?
1286/211
Determine x, given that 5*x**4 - 85*x**3 - 3800*x**2 - 7220*x = 0.
-19, -2, 0, 38
Determine v, given that v**3/2 - 1177*v**2/2 + 588*v = 0.
0, 1, 1176
Determine b, given that -4*b**2 + 528*b + 4480 = 0.
-8, 140
Factor b**3/2 + 37*b**2/8 + b/2 - 45/8.
(b - 1)*(b + 9)*(4*b + 5)/8
Determine t so that -4*t**4/7 + 1156*t**3/7 + 5884*t**2/7 - 1156*t/7 - 840 = 0.
-5, -1, 1, 294
Factor 16*c**4 - 164*c**3 - 2696*c**2 + 684*c.
4*c*(c - 19)*(c + 9)*(4*c - 1)
Find h, given that -h**4 - 75*h**3 - 1107*h**2 - 4725*h - 6156 = 0.
-57, -12, -3
Factor 4*u**2/9 - 6700*u/9 + 744.
4*(u - 1674)*(u - 1)/9
Determine f so that -8*f**5 + 332*f**4 - 4632*f**3 + 24404*f**2 - 41600*f + 21504 = 0.
1, 3/2, 7, 16
Let -41*q**2 - 449*q + 22 = 0. Calculate q.
-11, 2/41
Factor 2*y**2/9 - 4306*y/9 + 7160/3.
2*(y - 2148)*(y - 5)/9
Determine w, given that -7500*w**3 - 44300*w**2 + 95392*w - 44528 = 0.
-23/3, 22/25
Find w, given that -48841*w**2 - 29172*w - 4356 = 0.
-66/221
Factor -d**3/2 + 46*d**2 + 223*d/2 - 1645.
-(d - 94)*(d - 5)*(d + 7)/2
Factor 14*u**2/11 - 30796*u/11 - 800.
2*(u - 2200)*(7*u + 2)/11
Determine g, given that -2*g**2 + 3910*g - 100308 = 0.
26, 1929
Solve 3*o**2 + 17961*o - 17964 = 0.
-5988, 1
Factor -p**3/5 + 1651*p**2/5 + 18272*p/5 + 3324.
-(p - 1662)*(p + 1)*(p + 10)/5
Suppose 3*f**5/2 + 267*f**4 + 1581*f**3/2 + 525*f**2 = 0. Calculate f.
-175, -2, -1, 0
Determine f, given that -2*f**5 + 20*f**3 - 18*f = 0.
-3, -1, 0, 1, 3
Suppose -l**5/4 + 2*l**4 + 29*l**3/4 - 72*l**2 + 63*l = 0. Calculate l.
-6, 0, 1, 6, 7
Suppose 5*d**4/4 + 443*d**3/2 - 4373*d**2/4 - 455*d/2 = 0. Calculate d.
-182, -1/5, 0, 5
Determine j so that 3*j**3 - 345*j**2 + 2316*j + 26964 = 0.
-6, 14, 107
Factor 4*m**2 - 194168*m + 2356325764.
4*(m - 24271)**2
Find x such that 2*x**3/25 - 20336*x**2/25 + 51714442*x/25 - 103347556/25 = 0.
2, 5083
Factor i**4 + 3890*i**3 + 3775221*i**2 - 15209964*i - 45489708.
(i - 6)*(i + 2)*(i + 1947)**2
Suppose 3*g**3 + 357*g**2 + 12054*g + 102960 = 0. Calculate g.
-66, -40, -13
Determine u, given that 4*u**5 + 45*u**4 + 107*u**3 + 24*u**2 = 0.
-8, -3, -1/4, 0
Factor 5*k**3 - 820*k**2 - 4205*k - 3380.
5*(k - 169)*(k + 1)*(k + 4)
Factor -b**2/3 - 56*b/3 - 245.
-(b + 21)*(b + 35)/3
Determine c, given that -2*c**3 - 281080*c**2 - 1124294*c - 843216 = 0.
-140536, -3, -1
Suppose 5*f**4 - 115*f**3 - 1565*f**2 - 2765*f - 1320 = 0. What is f?
-8, -1, 33
Let -3*n**4/2 - 38223*n**3/8 + 66933*n**2/8 + 9561*n/4 = 0. What is n?
-3187, -1/4, 0, 2
Determine m, given that m**2/2 - 337*m - 20387/2 = 0.
-29, 703
Factor -784*g**4 + 15792*g**3 - 79524*g**2.
-4*g**2*(14*g - 141)**2
Factor -5*i**4 - 47505*i**3 - 94990*i**2.
-5*i**2*(i + 2)*(i + 9499)
Find m such that m**5/5 - 9*m**4/5 - m**3/5 + 21*m**2 = 0.
-3, 0, 5, 7
Let -5*c**2 + 386940*c = 0. Calculate c.
0, 77388
Suppose 2*v**4/3 - 1288*v**3/3 + 16478*v**2/3 - 15144*v = 0. Calculate v.
0, 4, 9, 631
Factor a**5/2 - 113*a**4/2 + 723*a**3 - 2995*a**2 + 4825*a/2 + 12375/2.
(a - 99)*(a - 5)**3*(a + 1)/2
Factor 4*p**2 + 504056*p + 15879528196.
4*(p + 63007)**2
Let -2*d**3/3 - 4834*d**2 - 19328*d - 57976/3 = 0. What is d?
-7247, -2
Factor 5*z**2 + 7965*z - 284900.
5*(z - 35)*(z + 1628)
Let 49298*o**4/7 + 2368816*o**3/7 + 28516256*o**2/7 + 1448448*o/7 + 18432/7 = 0. Calculate o.
-24, -4/157
Factor -3*c**2 + 179271*c + 179274.
-3*(c - 59758)*(c + 1)
Let -y**3/2 - 117*y**2/2 - 391*y - 660 = 0. What is y?
-110, -4, -3
Find k such that -348*k**4 - 332938*k**3 - 79751444*k**2 - 57132472*k - 2741808 = 0.
-478, -2/3, -3/58
Suppose 3*z**4/2 + 27*z**3/8 - 231*z**2/4 + 747*z/8 + 27 = 0. Calculate z.
-8, -1/4, 3
Solve 5*s**3 + 17370*s**2 + 86745*s + 69380 = 0.
-3