*q/4 = 0.
-123, -1, -1/4, 0, 3
Factor -2534720*k**2 - 7120*k - 5.
-5*(712*k + 1)**2
Let -3*d**2/5 + 121*d + 410 = 0. What is d?
-10/3, 205
Determine j so that j**4/6 - 55*j**3/2 + 373*j**2/3 + 95616*j + 190512 = 0.
-49, -2, 108
Let -x**2/4 - 5505*x/4 - 1376 = 0. Calculate x.
-5504, -1
Factor b**3/3 + 11597*b**2/3 + 11354880*b + 851558400.
(b + 77)*(b + 5760)**2/3
Solve -j**2 - 212*j - 2020 = 0.
-202, -10
What is o in -o**2/4 + 20347*o/4 + 45801 = 0?
-9, 20356
Factor -3*o**2 - 2638488*o - 580134910512.
-3*(o + 439748)**2
Factor -662*l**2/7 - 23178*l/7 - 40.
-2*(l + 35)*(331*l + 4)/7
Solve 2*m**5/9 + 72*m**4 - 3302*m**3/9 - 1316*m**2/3 = 0 for m.
-329, -1, 0, 6
Factor p**2/3 + 1135*p/3 - 9272.
(p - 24)*(p + 1159)/3
Factor 2*x**4 + 9836*x**3 + 12083522*x**2 - 24196560*x + 12103200.
2*(x - 1)**2*(x + 2460)**2
Let -4*r**4 - 560*r**3 - 11388*r**2 - 29232*r = 0. Calculate r.
-116, -21, -3, 0
Suppose -15*w**4 + 4599*w**3 + 6471*w**2 - 915*w - 2772 = 0. Calculate w.
-1, 3/5, 308
Find k, given that -2*k**4/5 - 122*k**3/5 + 342*k**2 - 3046*k/5 + 292 = 0.
-73, 1, 10
What is f in -3*f**3/5 + 138*f**2/5 + 441*f/5 = 0?
-3, 0, 49
Suppose -5*x**5 + 540*x**4 - 3625*x**3 + 9190*x**2 - 10140*x + 4040 = 0. Calculate x.
1, 2, 101
Factor 4*j**4 + 16368*j**3 - 147580*j**2 + 229656*j.
4*j*(j - 7)*(j - 2)*(j + 4101)
Factor 765*q**4 + 35960*q**3 + 235*q**2.
5*q**2*(q + 47)*(153*q + 1)
Factor -3*x**2 - 611562*x - 31167339987.
-3*(x + 101927)**2
Factor 125*m**4/4 + 1425*m**3/4 + 5415*m**2/4 + 6859*m/4.
m*(5*m + 19)**3/4
Suppose 3*u**2/5 - 63474*u/5 + 335745723/5 = 0. Calculate u.
10579
Factor 3*m**3 + 459*m**2 - 24975*m - 78975.
3*(m - 45)*(m + 3)*(m + 195)
Suppose -2*o**5 + 80*o**4 - 864*o**3 + 1348*o**2 + 866*o - 1428 = 0. Calculate o.
-1, 1, 2, 17, 21
Solve -s**2/6 + 686968*s/3 - 235962516512/3 = 0 for s.
686968
Let 3*a**5/5 - 99*a**4/5 + 291*a**3/5 + 1611*a**2/5 + 1218*a/5 = 0. Calculate a.
-2, -1, 0, 7, 29
Factor 5*r**3 - 38557*r**2 + 53972*r - 15420.
(r - 7710)*(r - 1)*(5*r - 2)
Factor d**3/7 - 993*d**2/7 + 245016*d/7 + 744012/7.
(d - 498)**2*(d + 3)/7
Find g such that 9*g**5 - 48*g**4 - 21*g**3 + 408*g**2 - 564*g + 144 = 0.
-3, 1/3, 2, 4
Solve 1050*k**3 + 18895*k**2 + 84960*k - 405 = 0.
-9, 1/210
Solve -1214*g**3 + 7282*g**2 + 12*g = 0.
-1/607, 0, 6
Let -v**3 - 288965*v**2 - 20874759352*v + 62626878768 = 0. Calculate v.
-144484, 3
Factor 38*b**3/5 - 30*b**2 - 198*b/5 - 2.
2*(b - 5)*(b + 1)*(19*b + 1)/5
Factor 2*d**2/5 - 198*d/5 + 812.
2*(d - 70)*(d - 29)/5
Suppose -u**4/5 + 9*u**3/5 + 49*u**2/5 + 39*u/5 = 0. Calculate u.
-3, -1, 0, 13
Solve -3*o**3 + 228*o**2 - 1467*o + 1242 = 0.
1, 6, 69
Solve -5*a**4 - 6300*a**3 - 2316260*a**2 - 209008800*a - 5503234880 = 0 for a.
-572, -58
Solve 3*s**4 + 1548*s**3 + 201231*s**2 + 396294*s = 0.
-257, -2, 0
Factor -2*u**3 - 38*u**2 + 6248*u - 12328.
-2*(u - 46)*(u - 2)*(u + 67)
What is q in -q**4 - 30*q**3 + 79*q**2 + 480*q = 0?
-32, -3, 0, 5
Factor -q**2/3 + 17060*q/3 - 72760900/3.
-(q - 8530)**2/3
Let 4*o**3 - 376*o**2 + 4740*o = 0. What is o?
0, 15, 79
Solve 25*y**5 - 8385*y**4 + 20025*y**3 - 14995*y**2 + 3330*y = 0.
0, 2/5, 1, 333
Factor -3*y**3/2 - 1416*y**2 - 2829*y/2.
-3*y*(y + 1)*(y + 943)/2
Determine f so that -3*f**3 + 14034*f**2 - 16426788*f + 32797464 = 0.
2, 2338
Factor 74*g**3 - 2586*g**2 - 2804*g - 144.
2*(g - 36)*(g + 1)*(37*g + 2)
Factor 5*j**2 - 5095*j - 15330.
5*(j - 1022)*(j + 3)
Factor 32*w**2 - 8932*w + 1116.
4*(w - 279)*(8*w - 1)
Solve -163*r**5 - 5068*r**4/5 - 10851*r**3/5 - 8674*r**2/5 - 292*r - 24/5 = 0.
-2, -1/5, -3/163
Solve -4*t**4 - 12*t**3 - 4*t**2 + 12*t + 8 = 0 for t.
-2, -1, 1
Factor -m**4/2 + 41*m**3/2 - 263*m**2/2 - 4301*m/2 + 9522.
-(m - 23)**2*(m - 4)*(m + 9)/2
Determine c, given that -5*c**4 - 95*c**3 - 130*c**2 + 680*c = 0.
-17, -4, 0, 2
Determine l so that -107*l**3/3 - 3208*l**2 - 8983*l/3 + 178 = 0.
-89, -1, 6/107
Suppose 3*y**2 + 1243758*y - 1243761 = 0. Calculate y.
-414587, 1
Determine z so that 25*z**4 + 3135*z**3 + 1225*z**2 - 3135*z - 1250 = 0.
-125, -1, -2/5, 1
Let -3*x**4 + 345*x**3 - 8574*x**2 - 81048*x + 89280 = 0. Calculate x.
-8, 1, 60, 62
Solve -4*i**2 + 1240*i - 3684 = 0.
3, 307
Let -5*a**5 + 3110*a**4 - 507350*a**3 + 7238760*a**2 + 16012035*a + 8262810 = 0. Calculate a.
-1, 18, 303
Suppose -118*u**4/3 - 4136*u**3/21 - 6638*u**2/21 - 3352*u/21 - 8/7 = 0. Calculate u.
-2, -1, -3/413
Factor 15*r**4 - 32635*r**3 + 17745280*r**2 + 5918720*r.
5*r*(r - 1088)**2*(3*r + 1)
Suppose -i**5/11 + 151*i**4/11 - 2368*i**3/11 + 12168*i**2/11 - 1296*i - 28944/11 = 0. Calculate i.
-1, 6, 134
Factor 2*g**4 - 146044*g**3 + 3554905680*g**2 - 28846874235200*g + 57679530016000.
2*(g - 24340)**3*(g - 2)
Factor -3*i**2/4 - 981*i/4 - 2889/2.
-3*(i + 6)*(i + 321)/4
Factor -2*j**3/5 + 12696*j**2/5 - 12694*j/5.
-2*j*(j - 6347)*(j - 1)/5
Let z**3/2 - 61169*z**2/2 + 935381055*z/2 + 935442225/2 = 0. What is z?
-1, 30585
Factor 76221*s**3 - 84204*s**2 + 22985*s + 150.
(9*s - 5)**2*(941*s + 6)
Let -32*v**4/3 - 4496*v**3/3 - 107266*v**2/3 - 906526*v/3 - 835748 = 0. What is v?
-113, -43/4, -6
Factor 3*x**2/7 - 139232*x/7 + 13260.
(x - 46410)*(3*x - 2)/7
Determine l, given that -4*l**3 - 504*l**2 + 3196*l + 3696 = 0.
-132, -1, 7
Suppose 2*f**2 + 9386*f + 528504 = 0. Calculate f.
-4636, -57
Factor 4*p**2 - 75804*p - 75808.
4*(p - 18952)*(p + 1)
Factor 4*b**2/7 - 20*b - 3536/7.
4*(b - 52)*(b + 17)/7
Factor x**3/5 - 418*x**2/5 + 5561*x.
x*(x - 335)*(x - 83)/5
Find w, given that -3*w**3/5 + 210657*w**2/5 - 3698346936*w/5 + 11093144976/5 = 0.
3, 35108
Suppose -b**2/2 + 592*b + 1186 = 0. What is b?
-2, 1186
Find v such that -v**2/10 + 11*v + 115/2 = 0.
-5, 115
Let -2*i**4 - 264*i**3 - 8334*i**2 - 36784*i - 42312 = 0. Calculate i.
-86, -41, -3, -2
Factor -14*f**3 + 16692*f**2 - 4768*f.
-2*f*(f - 1192)*(7*f - 2)
Factor 2*m**3/9 + 714*m**2 + 1517824*m/3 - 1004372600/9.
2*(m - 175)*(m + 1694)**2/9
Factor i**5/4 - 29*i**4 + 896*i**3 - 3136*i**2.
i**2*(i - 56)**2*(i - 4)/4
Factor -516961*g**3 + 7223074*g**2 + 201220*g + 1400.
-(g - 14)*(719*g + 10)**2
Suppose -4*u**2 - 20208*u + 141652 = 0. Calculate u.
-5059, 7
Factor -3*q**3 - 5697*q**2 - 279225*q - 3466875.
-3*(q + 25)**2*(q + 1849)
Factor 3*a**2/5 + 125892*a/5 - 377703/5.
3*(a - 3)*(a + 41967)/5
Suppose 4*p**3 - 9748*p**2 - 39040*p - 39056 = 0. Calculate p.
-2, 2441
Suppose -39*s**5/2 + 309*s**4 - 957*s**3/2 - 393*s**2 + 498*s + 84 = 0. Calculate s.
-1, -2/13, 1, 2, 14
Factor -6*u**3 + 46952*u**2 - 15650*u.
-2*u*(u - 7825)*(3*u - 1)
Determine u so that -u**4/3 + 31*u**3/3 + 100*u**2/3 + 68*u/3 = 0.
-2, -1, 0, 34
Find g such that 158*g**2/5 + 51188*g/5 - 1296/5 = 0.
-324, 2/79
Determine m, given that -2*m**2/11 - 6180*m/11 - 6178/11 = 0.
-3089, -1
Factor t**3/9 - 69845*t**2/3 - 139691*t/3 - 209537/9.
(t - 209537)*(t + 1)**2/9
Determine w, given that w**4/9 + 22*w**3/9 + 35*w**2/3 - 500*w/9 - 3500/9 = 0.
-10, -7, 5
Let -5*f**2 - 8150*f + 316920 = 0. Calculate f.
-1668, 38
Factor -4*a**4 - 424*a**3 - 7412*a**2 - 23120*a.
-4*a*(a + 4)*(a + 17)*(a + 85)
Factor -3*n**4 - 222*n**3 + 1440*n**2.
-3*n**2*(n - 6)*(n + 80)
Factor 2*h**2 + 140930*h.
2*h*(h + 70465)
Determine j, given that j**2 + 5883*j - 11770 = 0.
-5885, 2
Factor -5*b**2/3 - 8580*b - 205600/3.
-5*(b + 8)*(b + 5140)/3
Find a such that 4*a**3 + 1172*a**2 + 2328*a = 0.
-291, -2, 0
Let 4*z**3 + 324*z**2 - 172800*z - 19710000 = 0. What is z?
-150, 219
Factor -196*z**4/5 + 52276*z**3/5 + 14948*z**2/5 + 1068*z/5.
-4*z*(z - 267)*(7*z + 1)**2/5
Determine k so that -3*k**3 + 345*k**2 - 8157*k - 8505 = 0.
-1, 35, 81
Factor -3*j**2/7 - 225*j/7 - 600.
-3*(j + 35)*(j + 40)/7
Factor -4*g**3 + 1760*g**2 - 24052*g + 83496.
-4*(g - 426)*(g - 7)**2
Solve 3*i**2 - 1291848*i + 139072604592 = 0.
215308
Suppose -2*q**2/11 - 22*q - 708/11 = 0. What is q?
-118, -3
Factor h**2 - 23*h - 174.
(h - 29)*(h + 6)
Find n, given that -n**5/10 - 1597*n**4/5 - 256945*n**3 - 15163808*n**2/5 + 38051947*n/10 + 32906653/5 = 0.
-1591, -13, -1, 2
Find j, given that 14*j**2 + 5142*j + 35308 = 0.
-2522/7, -7
Solve c**2 - 243*c + 14756 = 0 for c.
119, 124
Solve -15*z**4 - 4970*z**3 + 120835*z**2 + 168270*z + 42480 = 0.
-354, -1, -1/3, 24
Factor -h**4 + 601*h**3 + 3023*h**2 + 4239*h + 1818.
-(h - 606)*(h + 1)**2*(h + 3)
Solve -18*m**4 + 2114*m**3 + 3332*