ctor -5*m**2 + 175820*m - 1545633620.
-5*(m - 17582)**2
Factor -4*d**2 - 69828*d + 209520.
-4*(d - 3)*(d + 17460)
Solve 5*n**2 - 11800*n - 35445 = 0.
-3, 2363
Factor k**3/2 + 14353*k**2/2 - 2*k - 28706.
(k - 2)*(k + 2)*(k + 14353)/2
Factor 2*r**3/5 - 274*r**2/5 + 12096*r/5 - 169128/5.
2*(r - 54)**2*(r - 29)/5
Suppose 808083*s**3/7 - 541836*s**2/7 + 297*s - 2/7 = 0. What is s?
1/519, 2/3
Solve -4*i**2 + 3264*i - 57456 = 0.
18, 798
Solve -2*q**3/5 + 8774*q**2/5 - 1907798*q - 184421942/5 = 0 for q.
-19, 2203
Factor 2*l**3/15 + 194456*l**2/15 + 1555552*l/15 + 622208/3.
2*(l + 4)**2*(l + 97220)/15
Factor -150*u**2 - 862*u + 6380.
-2*(u + 10)*(75*u - 319)
What is z in -5*z**5 + 120*z**4 + 435*z**3 - 770*z**2 - 1080*z = 0?
-4, -1, 0, 2, 27
Solve o**3/5 - 94*o**2/5 + 277*o - 1292/5 = 0 for o.
1, 17, 76
Let -q**3/5 - 4361*q**2/5 + 8726*q/5 = 0. What is q?
-4363, 0, 2
Let z**4/6 - 67*z**3/3 + 1234*z**2/3 + 9340*z/3 + 4400 = 0. What is z?
-4, -2, 30, 110
Factor -d**3/3 + 1479*d**2 - 1635392*d - 34560988/3.
-(d - 2222)**2*(d + 7)/3
Factor b**3/5 - 43*b**2 - 52056*b/5 - 10368.
(b - 360)*(b + 1)*(b + 144)/5
Determine s so that -60*s**3 - 728*s**2 + 98604*s + 13160 = 0.
-47, -2/15, 35
Factor 3*u**3/7 - 25953*u**2/7 - 3708*u.
3*u*(u - 8652)*(u + 1)/7
Suppose s**3/3 - 1604*s**2/3 - 3211*s/3 - 1606/3 = 0. Calculate s.
-1, 1606
Determine p so that 3*p**4 + 132066*p**3 + 1453452360*p**2 - 132066*p - 1453452363 = 0.
-22011, -1, 1
Solve -2*k**2/3 - 295468*k + 886406/3 = 0.
-443203, 1
Factor 18*q**3 + 87879*q**2 - 73248*q - 14649.
3*(q - 1)*(q + 4883)*(6*q + 1)
Factor -4*z**2 - 49880*z - 99744.
-4*(z + 2)*(z + 12468)
Determine l, given that 2*l**2/13 + 9352*l/13 - 9354/13 = 0.
-4677, 1
Let 2*m**3/5 - 108222*m**2/5 + 1463729568*m/5 + 1464270728 = 0. Calculate m.
-5, 27058
Determine h, given that 2*h**4/11 - 10*h**3/11 - 136*h**2/11 - 360*h/11 - 288/11 = 0.
-3, -2, 12
Solve k**2/5 - 101*k - 5676/5 = 0 for k.
-11, 516
Factor z**2 - 27850*z + 193905625.
(z - 13925)**2
Let -4*h**2/5 + 248*h/5 + 3852 = 0. What is h?
-45, 107
Solve -3*g**2/4 - 1069275*g/4 = 0.
-356425, 0
Suppose -5*b**5 - 100*b**4 + 785*b**3 + 4180*b**2 + 4500*b = 0. What is b?
-25, -2, 0, 9
Factor -4*l**3 - 4076*l**2.
-4*l**2*(l + 1019)
Find u such that 16*u**3/5 - 193*u**2/5 + 444*u/5 - 27/5 = 0.
1/16, 3, 9
Suppose 2*b**3/3 - 260*b**2 - 6386*b/3 + 2388 = 0. What is b?
-9, 1, 398
Suppose -2*g**5/9 + 106*g**4/3 - 1312*g**3 - 51112*g**2/9 - 5824*g = 0. Calculate g.
-2, 0, 72, 91
Solve 70577*v**3/4 - 548*v**2 - v = 0.
-2/1157, 0, 2/61
Factor v**2/7 - 199*v/7 + 4930/7.
(v - 170)*(v - 29)/7
Suppose q**3 + 352*q**2 - 228099*q - 83814498 = 0. Calculate q.
-417, 482
Find c, given that -4*c**4 + 1172*c**3 + 4732*c**2 + 5932*c + 2376 = 0.
-2, -1, 297
Determine t, given that -2*t**2/7 - 1014*t/7 - 19480/7 = 0.
-487, -20
Suppose -d**2 - 12828*d - 41139396 = 0. What is d?
-6414
Factor 4*l**4 + 274976*l**3 - 4125240*l**2 + 20627200*l - 34379500.
4*(l - 5)**3*(l + 68759)
Factor -4*z**4 - 15224*z**3 - 14516052*z**2 - 57881648*z - 57820816.
-4*(z + 2)**2*(z + 1901)**2
Let 2*l**5 + 76*l**4 + 868*l**3 + 1784*l**2 - 12630*l + 9900 = 0. Calculate l.
-15, -11, 1, 2
Factor -4*c**2 - 78728*c - 387381124.
-4*(c + 9841)**2
Factor 5*p**3 + 145*p**2 - 4645*p + 12495.
5*(p - 17)*(p - 3)*(p + 49)
Factor 2*a**3/3 - 30*a**2 + 400*a - 5000/3.
2*(a - 25)*(a - 10)**2/3
Factor 32*q**4 - 1072*q**3 + 10098*q**2 - 29160*q.
2*q*(q - 20)*(4*q - 27)**2
Factor 2*r**2/3 - 27134*r/21 + 1292/7.
2*(r - 1938)*(7*r - 1)/21
Factor -6*h**3/7 + 2718*h**2/7 - 35424*h + 916608.
-6*(h - 341)*(h - 56)**2/7
Let -2*c**3 + 23938*c**2 - 215236*c - 526240 = 0. What is c?
-2, 11, 11960
Find m such that m**5/4 + 397*m**4/4 - 399*m**3/2 + m**2/2 + 797*m/4 - 399/4 = 0.
-399, -1, 1
Find h such that 5*h**3 - 510*h**2 + 505*h = 0.
0, 1, 101
Suppose 5*x**4 + 1325*x**3 + 1300*x**2 - 5300*x - 5280 = 0. What is x?
-264, -2, -1, 2
Let 5*l**2 - 4772990*l + 1139071677005 = 0. What is l?
477299
What is y in -4*y**2/9 + 2096*y/9 + 91060 = 0?
-261, 785
Let -2*u**4/3 + 994*u**3/3 - 42298*u**2/3 - 994*u/3 + 14100 = 0. Calculate u.
-1, 1, 47, 450
Find d such that d**2 - 37*d + 322 = 0.
14, 23
Let -3*b**3 + 24*b**2 + 177*b + 234 = 0. What is b?
-3, -2, 13
Solve 2*q**2 + 6074*q + 12140 = 0 for q.
-3035, -2
Suppose -3*v**4 - 144*v**3 + 324*v**2 + 1200*v = 0. What is v?
-50, -2, 0, 4
Let -2*z**3/5 - 50*z**2 + 1562*z/5 - 262 = 0. Calculate z.
-131, 1, 5
Factor -4*r**3 - 552612*r**2 + 1105236*r - 552620.
-4*(r - 1)**2*(r + 138155)
Factor 12*o**2/5 + 1564516*o/5 + 521504/5.
4*(o + 130376)*(3*o + 1)/5
Factor 4119886092*o**3 - 3432349018*o**2 - 741112*o - 40.
2*(6*o - 5)*(18529*o + 2)**2
Factor -x**3 + 1835*x**2 - 840888*x - 842724.
-(x - 918)**2*(x + 1)
Solve -6975*i**2 - 711444*i + 612 = 0 for i.
-102, 2/2325
Factor -2*o**2 - 17432*o - 34856.
-2*(o + 2)*(o + 8714)
Factor -4*z**3 + 17536*z**2 - 1621876*z + 37906440.
-4*(z - 4290)*(z - 47)**2
Factor 7*i**3/5 + 117*i**2/5 + 386*i/5 - 24.
(i + 5)*(i + 12)*(7*i - 2)/5
Suppose l**3/3 + 278*l**2/3 - 93*l = 0. What is l?
-279, 0, 1
What is b in -2*b**2 + 3115*b/2 - 57741/2 = 0?
19, 3039/4
What is m in 4*m**2 + 8328*m - 8332 = 0?
-2083, 1
Factor -4*a**5 - 12980*a**4 - 10549480*a**3 - 31570600*a**2 - 31544660*a - 10510564.
-4*(a + 1)**3*(a + 1621)**2
Factor 4*n**3 + 15*n**2 - 169*n + 180.
(n - 4)*(n + 9)*(4*n - 5)
Solve m**3 - 7839*m**2 - 536520*m - 9140492 = 0.
-34, 7907
Suppose -p**2/2 - 6151*p/2 - 39897 = 0. What is p?
-6138, -13
Let -15*w**3/2 - 981*w**2 + 57957*w/2 + 131130 = 0. Calculate w.
-155, -4, 141/5
Suppose -l**4/2 - 7691*l**3 - 59228305*l**2/2 - 295288434*l + 324910278 = 0. What is l?
-7686, -11, 1
Factor 3*h**3/4 - 4353*h**2/4 - 12*h + 17412.
3*(h - 1451)*(h - 4)*(h + 4)/4
Suppose -34*r**4/5 + 10142*r**3/5 - 23108*r**2/5 + 1184*r = 0. Calculate r.
0, 5/17, 2, 296
Factor -2*a**4/3 - 4*a**3/3 + 82*a**2/3 + 28*a.
-2*a*(a - 6)*(a + 1)*(a + 7)/3
Suppose -p**4/6 - 2017*p**3/2 - 6049*p**2/2 - 18145*p/6 - 1008 = 0. Calculate p.
-6048, -1
Determine u so that 2*u**2/5 - 1136808*u/5 + 161541553608/5 = 0.
284202
Let -160*a**2 - 2004*a - 5792 = 0. What is a?
-8, -181/40
Factor 3*t**3 - 67899*t**2 - 67902*t.
3*t*(t - 22634)*(t + 1)
Determine k, given that -56*k**3 + 604*k**2 - 876*k - 216 = 0.
-3/14, 2, 9
Factor 3*c**3 - 2487*c**2 + 24570*c.
3*c*(c - 819)*(c - 10)
Factor -a**2 - 22762*a - 91032.
-(a + 4)*(a + 22758)
Solve 4*a**2 - 94340*a - 566184 = 0.
-6, 23591
What is n in -2*n**2/9 + 59656*n/9 - 444854792/9 = 0?
14914
Determine f, given that -2*f**4/7 - 480*f**3/7 + 5000*f**2/7 = 0.
-250, 0, 10
Factor 5*f**2 - 1170*f - 354960.
5*(f - 408)*(f + 174)
Determine q so that -2*q**3/17 + 16364*q**2/17 - 179782*q/17 + 163420/17 = 0.
1, 10, 8171
Solve -y**2/6 - 905*y/3 + 604 = 0.
-1812, 2
Factor 5*q**2 + 58705*q + 58700.
5*(q + 1)*(q + 11740)
Determine n, given that -4*n**5 - 2392*n**4 + 24324*n**3 + 2392*n**2 - 24320*n = 0.
-608, -1, 0, 1, 10
Suppose -22*c**4 - 540*c**3 + 11746*c**2 + 19104*c + 6840 = 0. Calculate c.
-38, -1, -6/11, 15
What is n in -28*n**4 - 596*n**3 - 3696*n**2 - 5936*n - 1408 = 0?
-11, -8, -2, -2/7
Factor -3*u**2 - 1258*u/5 + 12537/5.
-(u - 9)*(15*u + 1393)/5
Find d, given that -3*d**5 + 12*d**4 + 573*d**3 + 3042*d**2 + 4428*d + 1944 = 0.
-6, -1, 18
Factor -5*m**3 - 615*m**2 - 11715*m - 61105.
-5*(m + 11)**2*(m + 101)
Factor -2*x**2/19 - 18410*x/19 + 18412/19.
-2*(x - 1)*(x + 9206)/19
Determine a, given that -2*a**2/5 + 4580*a - 45792/5 = 0.
2, 11448
Find z such that z**2 - 927706*z + 215159605609 = 0.
463853
Find h such that -2*h**5/13 - 1442*h**4 - 131154*h**3/13 - 280998*h**2/13 - 168588*h/13 = 0.
-9366, -3, -1, 0
Suppose 3*o**4 - 75*o**3 - 18*o**2 + 4224*o + 11616 = 0. What is o?
-4, 11, 22
Factor -5*c**2 + 143560*c - 1030473680.
-5*(c - 14356)**2
Factor -9*d**4/8 - 1947*d**3/8 + 651*d**2/4.
-3*d**2*(d + 217)*(3*d - 2)/8
Factor -s**3/10 - 874*s**2/5 + 54824*s - 3974880.
-(s - 140)**2*(s + 2028)/10
Suppose 3*t**5 - 1035*t**4 + 116181*t**3 - 3989817*t**2 - 27188784*t - 42436548 = 0. Calculate t.
-3, 99, 126
Factor 124*a**2/9 + 2*a.
2*a*(62*a + 9)/9
Let -24*a**2 - 28*a - 4 = 0. Calculate a.
-1, -1/6
Factor 2*z**2/3 - 4336*z/3 - 1446.
2*(z - 2169)*(z + 1)/3
What is q in -5*q**4 - 3325*q**3 + 13365*q**2 - 10035*q = 0?
-669, 0, 1, 3