060*z - 2400 = 0. Calculate z.
-60, 8/17
Solve -4*y**4 + 1204*y**3 - 98088*y**2 + 1126656*y - 3483648 = 0 for y.
6, 7, 144
Let 3*a**5 - 50268*a**4 + 210622911*a**3 - 421044774*a**2 = 0. What is a?
0, 2, 8377
Determine d, given that 2*d**4/17 - 1418*d**3/17 - 8556*d**2/17 - 17144*d/17 - 11440/17 = 0.
-2, 715
Factor 2*w**2/11 - 166418*w/11 - 332844/11.
2*(w - 83211)*(w + 2)/11
What is j in -46*j**4/3 - 136*j**3 + 18*j**2 = 0?
-9, 0, 3/23
Factor -2*c**3/9 + 10*c**2/3 + 2464*c - 113256.
-2*(c - 66)**2*(c + 117)/9
Solve p**5/4 - 477*p**4/4 + 1891*p**3/4 + 477*p**2/4 - 473*p = 0.
-1, 0, 1, 4, 473
Factor -24*p**2/7 + 22551*p/7 + 352395/7.
-3*(p - 955)*(8*p + 123)/7
Suppose 3*g**2/4 - 207*g - 2511/4 = 0. What is g?
-3, 279
Solve -3*f**4/7 - 36*f**3 - 738*f**2/7 + 383268*f/7 + 8063757/7 = 0 for f.
-41, 39
Find c such that 25*c**3 + 95785*c**2 + 420895*c - 287025 = 0.
-3827, -5, 3/5
Factor 2*v**4/5 - 75974*v**3/5 - 151954*v**2/5 - 75978*v/5.
2*v*(v - 37989)*(v + 1)**2/5
Let p**4 + 17*p**3 - 355*p**2 - 5957*p - 5586 = 0. What is p?
-21, -14, -1, 19
Let t**2/2 - 238300*t + 476599/2 = 0. Calculate t.
1, 476599
Find u, given that -u**4/2 + 33*u**3/2 - 119*u**2/2 + 87*u/2 = 0.
0, 1, 3, 29
Let -2*k**3/7 - 62*k**2/7 + 3442*k/7 + 58830/7 = 0. What is k?
-53, -15, 37
Factor -2*b**3/19 + 888*b**2/19 - 12040*b/19.
-2*b*(b - 430)*(b - 14)/19
Determine f, given that 49*f**4 - 59899*f**3 - 1190542*f**2 - 665636*f - 94392 = 0.
-19, -2/7, 1242
Determine p, given that p**4/3 + 24754*p**3 + 459570387*p**2 = 0.
-37131, 0
Find x, given that -5*x**3/6 + 350*x**2/3 = 0.
0, 140
Find o such that -4*o**3 - 1945624*o**2 + 1945628*o = 0.
-486407, 0, 1
Factor p**5/7 - 39815*p**4/7 + 22750*p**3 - 238870*p**2/7 + 159245*p/7 - 39811/7.
(p - 39811)*(p - 1)**4/7
Factor p**3/3 - 569*p**2/3 - 1344*p.
p*(p - 576)*(p + 7)/3
Suppose 14*a**4 - 2096*a**3 - 67142*a**2 - 83440*a - 18408 = 0. Calculate a.
-26, -1, -2/7, 177
Factor 3*p**4/7 - 348*p**3/7 - 73062*p**2/7 - 3409068*p/7 - 49416357/7.
3*(p - 239)*(p + 41)**3/7
Solve -11*g**3/6 + 163*g**2/3 + 412*g/3 + 128/3 = 0.
-2, -4/11, 32
Determine r, given that 3*r**5 - 63*r**4 + 414*r**3 - 894*r**2 + 783*r - 243 = 0.
1, 9
Solve z**3 - 535*z**2 - 47202*z + 47736 = 0 for z.
-78, 1, 612
Factor v**2 - 1820454*v + 828513191529.
(v - 910227)**2
Determine m, given that 2*m**5/7 - 284*m**4/7 + 15102*m**3/7 - 358492*m**2/7 + 3306760*m/7 - 2963088/7 = 0.
1, 27, 38
Suppose -2*j**3/7 - 17046*j**2/7 + 9744*j - 68216/7 = 0. Calculate j.
-8527, 2
Factor -2*r**2/5 - 618*r/5 - 8360.
-2*(r + 100)*(r + 209)/5
What is t in -2*t**5/11 - 2*t**4/11 + 172*t**3/11 + 892*t**2/11 + 1270*t/11 + 50 = 0?
-5, -1, 11
What is o in 3*o**3 + 585*o**2 - 7344*o + 22356 = 0?
-207, 6
Factor 3*b**3 - 1650*b**2 - 3309*b - 1656.
3*(b - 552)*(b + 1)**2
Determine p so that 2*p**4 + 222*p**3 + 7686*p**2 + 72090*p - 291600 = 0.
-45, -24, 3
Factor 3*m**2/5 - 248334*m/5 - 248349.
3*(m - 82783)*(m + 5)/5
Determine a so that -3*a**4/4 + 9*a**3/4 + 9*a**2 - 15*a - 36 = 0.
-2, 3, 4
Suppose 2*l**2/15 + 936*l/5 - 562/3 = 0. Calculate l.
-1405, 1
Solve 2*x**3 + 1072*x**2 - 71520*x = 0 for x.
-596, 0, 60
Factor -2*b**3/5 - 3468*b**2/5 + 6942*b/5 - 3472/5.
-2*(b - 1)**2*(b + 1736)/5
Factor 27*r**3 + 606*r**2 + 1092*r - 29400.
3*(r + 14)**2*(9*r - 50)
Suppose 5*b**3 - 5190*b**2 + 1325805*b + 10941160 = 0. Calculate b.
-8, 523
Solve -2*j**3 + 1714*j**2 + 53162*j + 51446 = 0 for j.
-29, -1, 887
Solve 3*i**3 + 378*i**2 - 768*i = 0 for i.
-128, 0, 2
Solve -2*g**3/9 + 514*g**2/9 + 5456*g/3 - 884120 = 0.
-115, 186
Factor -q**4/5 - 44*q**3.
-q**3*(q + 220)/5
Find z, given that -14*z**3/5 + 11952*z**2/5 - 32326*z/5 - 10212/5 = 0.
-2/7, 3, 851
Factor 3*v**3 - 2112*v**2 + 166140*v + 80575344.
3*(v - 426)**2*(v + 148)
Determine g so that -2*g**4/3 - 272*g**3/3 + 370*g**2 - 1396*g/3 + 560/3 = 0.
-140, 1, 2
What is a in a**5/3 + 11*a**4/3 - 97*a**3/3 - 623*a**2/3 - 352*a - 180 = 0?
-15, -2, -1, 9
Factor -2*f**2/15 + 182*f/5 + 4116/5.
-2*(f - 294)*(f + 21)/15
Find u, given that -u**2/5 + 384172*u - 184485156980 = 0.
960430
Suppose -8*j**5/13 + 210*j**4/13 - 1110*j**3/13 + 110*j**2/13 + 798*j/13 = 0. What is j?
-3/4, 0, 1, 7, 19
Solve -3*g**4 + 991*g**3 + 3722*g**2 - 15996*g - 12024 = 0.
-6, -2/3, 3, 334
Determine l so that 3*l**4/4 + 34323*l**3/4 + 49129047*l**2/2 + 122556753*l - 147129858 = 0.
-5718, -6, 1
Factor 3*n**3 + 11637*n**2 + 393057*n + 3333615.
3*(n + 17)**2*(n + 3845)
Factor 5*p**4 + 1420*p**3 + 120980*p**2 + 2862720*p + 20321280.
5*(p + 16)**2*(p + 126)**2
Let -v**4/4 + 101*v**3 + 3597*v**2/2 - 3899*v + 7999/4 = 0. Calculate v.
-19, 1, 421
Suppose 6*r**2/17 - 254*r/17 - 1012/17 = 0. What is r?
-11/3, 46
Factor -x**3/2 + 1793*x**2/2 + 11718*x + 37926.
-(x - 1806)*(x + 6)*(x + 7)/2
Solve 14*c**3 - 172*c**2 + 686*c - 888 = 0.
3, 4, 37/7
What is v in -28*v**4/5 - 14932*v**3/5 - 1109704*v**2/5 - 22492848*v/5 - 6336288/5 = 0?
-449, -42, -2/7
Find x such that -130*x**2 - 68386*x - 3156 = 0.
-526, -3/65
Find c such that -3*c**2 - 73056*c - 438228 = 0.
-24346, -6
Let 3*v**2/5 - 6522*v + 910728/5 = 0. Calculate v.
28, 10842
Find u, given that 5*u**3 + 188735*u**2 + 1781139375*u + 1780950645 = 0.
-18873, -1
Suppose -4*a**2/9 + 544520*a/3 - 18531376900 = 0. What is a?
204195
Factor h**4/5 - 359*h**3/5 - 721*h**2/5 - 361*h/5.
h*(h - 361)*(h + 1)**2/5
Let 2*n**4/7 + 722*n**3/7 - 5120*n**2/7 + 11752*n/7 - 8832/7 = 0. Calculate n.
-368, 2, 3
Factor 4*t**4 + 5785*t**3 + 12998*t**2 + 2888*t.
t*(t + 2)*(t + 1444)*(4*t + 1)
Factor -2*f**3/7 + 119810*f**2/7 - 256320658*f - 256337774.
-2*(f - 29953)**2*(f + 1)/7
Factor 25*d**3 + 3815*d**2 + 128455*d + 75705.
5*(d + 49)*(d + 103)*(5*d + 3)
Solve h**5/4 - 127*h**3/4 + 269*h**2/2 - 42*h - 208 = 0.
-13, -1, 2, 4, 8
Find o, given that 4*o**5 - 136*o**4 - 8388*o**3 - 57752*o**2 - 49504*o = 0.
-26, -7, -1, 0, 68
Let -4*x**3/7 - 43856*x**2/7 + 131596*x/7 - 87736/7 = 0. Calculate x.
-10967, 1, 2
Suppose -4*o**2 + 237992*o - 3540012004 = 0. Calculate o.
29749
Let -3*o**5 + 9532*o**4 + 54120*o**3 - 28630*o**2 - 54117*o + 19098 = 0. What is o?
-6, -1, 1/3, 1, 3183
Factor -2*z**2/9 - 25984*z/9 - 25982/9.
-2*(z + 1)*(z + 12991)/9
Solve 4*f**5 + 668*f**4 - 21088*f**3 - 25712*f**2 + 130368*f = 0.
-194, -3, 0, 2, 28
Let -5*c**4 + 460*c**3 + 2405*c**2 + 1940*c = 0. Calculate c.
-4, -1, 0, 97
Factor -2*q**3/7 + 32*q**2/7 + 7110*q/7 + 14076/7.
-2*(q - 69)*(q + 2)*(q + 51)/7
Solve -4*g**5 - 20*g**4 + 168*g**3 - 304*g**2 + 160*g = 0.
-10, 0, 1, 2
Find p, given that -p**4/7 + 134*p**3/7 + 3147*p**2/7 + 16740*p/7 = 0.
-12, -9, 0, 155
Determine t, given that -2*t**3/15 - 40162*t**2/3 - 5040481606*t/15 + 5040682418/15 = 0.
-50203, 1
Factor 2*p**2/5 - 496*p/5 - 2016/5.
2*(p - 252)*(p + 4)/5
Determine v so that v**5/9 - 94768*v**4/9 - 284311*v**3/9 - 189542*v**2/9 = 0.
-2, -1, 0, 94771
Let 126*n**5 + 30588*n**4 + 577382*n**3 - 746784*n**2 + 300856*n - 39072 = 0. What is n?
-222, -22, 1/3, 4/7
Find h, given that 3*h**3 + 87603*h**2/4 + 39972975*h + 9991875 = 0.
-3650, -1/4
Find o, given that -5*o**4 + 360*o**3 - 335*o**2 - 1440*o + 1420 = 0.
-2, 1, 2, 71
Factor 3*r**2 + 71094*r + 421196403.
3*(r + 11849)**2
Find k such that k**2/4 + 635*k/4 + 1887/2 = 0.
-629, -6
Factor v**3/8 - 85*v**2/8 - 353*v/8 - 267/8.
(v - 89)*(v + 1)*(v + 3)/8
Solve 2*u**5/7 - 1522*u**4 - 74646*u**3/7 - 159994*u**2/7 - 138676*u/7 - 6096 = 0 for u.
-4, -1, 5334
Suppose 4*o**2 - 2020*o + 21736 = 0. What is o?
11, 494
What is x in x**5/4 - 11*x**4 - 511*x**3/4 - 779*x**2/2 - 120*x + 648 = 0?
-4, -3, 1, 54
Determine g so that -4*g**4 - 263768*g**3 - 5798236032*g**2 - 42499132973416*g - 212350741934780 = 0.
-21979, -5
Find g, given that 2*g**5/11 + 478*g**4/11 + 1410*g**3/11 - 1438*g**2/11 - 5204*g/11 - 2832/11 = 0.
-236, -3, -1, 2
What is s in 49*s**5 + 1162*s**4 + 7561*s**3 + 4300*s**2 - 36176*s + 23104 = 0?
-76/7, -4, 1
Suppose 2*y**3/9 - 1900*y**2/9 - 638*y/3 + 1268 = 0. What is y?
-3, 2, 951
Determine s, given that 512*s**2 - 67904*s + 2251442 = 0.
1061/16
Factor s**3/2 - 3747*s**2/4 + 1873*s/4.
s*(s - 1873)*(2*s - 1)/4
Solve -2*m**2/19 + 1745868*m/19 - 381006884178/19 = 0 for m.
436467
Solve 4*m**2 + 138752*m - 832656 = 0 for m.
-34694, 6
Determine i so that 2*i**5/5 - 14*i**4/5 - 6*i**3 + 486*i**2/5 - 1404*i/5 + 1296/5 = 0.