3
Suppose 2*k**2 - 1000*k - 58618 = 0. What is k?
-53, 553
Let 3*a**2/2 - 92739*a + 2866840707/2 = 0. Calculate a.
30913
Find d such that 2*d**4/9 - 10010*d**3/3 + 240152*d**2/9 - 200104*d/3 + 480224/9 = 0.
2, 4, 15007
Factor -27*i**2 - 18148*i - 2688.
-(i + 672)*(27*i + 4)
Factor c**3/4 - 130*c**2 + 12325*c + 1261500.
(c - 290)**2*(c + 60)/4
Factor -c**4 - 27*c**3 + 2199*c**2 - 4313*c + 2142.
-(c - 34)*(c - 1)**2*(c + 63)
Factor 2*j**4 - 16*j**3 - 680*j**2 + 1408*j.
2*j*(j - 22)*(j - 2)*(j + 16)
Factor 2*l**3/3 - 8650*l**2/3 - 226252*l/3.
2*l*(l - 4351)*(l + 26)/3
Factor -k**2/10 + 1419784*k/5 - 1007893303328/5.
-(k - 1419784)**2/10
Determine m, given that 3*m**2/2 - 7665*m/2 - 11511 = 0.
-3, 2558
Factor -3*u**2/5 + 42*u/5 + 9.
-3*(u - 15)*(u + 1)/5
Factor 3*y**3 - 924*y**2 - 32379*y - 88740.
3*(y - 340)*(y + 3)*(y + 29)
Factor 3*p**2 + 1995*p - 26442.
3*(p - 13)*(p + 678)
Let -45*w**5 + 1347*w**4 + 17691*w**3 + 17193*w**2 - 1266*w - 2160 = 0. Calculate w.
-9, -1, -2/5, 1/3, 40
Factor -4*y**3 - 424*y**2 - 1392*y + 24480.
-4*(y - 6)*(y + 10)*(y + 102)
Factor d**2/3 - 2767*d + 16598/3.
(d - 8299)*(d - 2)/3
Factor 5*g**2 - 20975*g + 83820.
5*(g - 4191)*(g - 4)
Determine y, given that -y**3/4 - 53*y**2/4 + 1385*y/4 - 5475/4 = 0.
-73, 5, 15
Factor -4*c**3 - 4532*c**2 - 27020*c + 31556.
-4*(c - 1)*(c + 7)*(c + 1127)
Let -5*c**2 + 85895*c + 85900 = 0. What is c?
-1, 17180
Find f, given that 5*f**5 + 3800*f**4 + 725790*f**3 + 1440200*f**2 + 718205*f = 0.
-379, -1, 0
Solve 2*l**3/15 - 482*l**2/5 + 15834*l + 8811998/15 = 0 for l.
-31, 377
Suppose 88*l**2/17 - 30*l/17 = 0. What is l?
0, 15/44
Factor -2*n**2 - 1722*n - 1720.
-2*(n + 1)*(n + 860)
Determine i so that i**5/3 + 211*i**4/3 + 3952*i**3/3 + 25532*i**2/3 + 61376*i/3 + 48896/3 = 0.
-191, -8, -2
Factor 4*h**3 - 156*h**2 - 11560*h + 23712.
4*(h - 76)*(h - 2)*(h + 39)
Solve -3*x**3/4 + 3741*x**2/4 + 16104*x + 15168 = 0 for x.
-16, -1, 1264
Factor 2*y**2/9 - 488*y/3 - 1466/9.
2*(y - 733)*(y + 1)/9
Solve -3*x**3/5 + 440892*x**2/5 + 1322697*x/5 + 881802/5 = 0 for x.
-2, -1, 146967
What is u in 7*u**5 + 180*u**4 + 865*u**3 + 1320*u**2 + 388*u - 240 = 0?
-20, -3, -2, -1, 2/7
Determine s, given that -502*s**2/19 - 82*s - 1056/19 = 0.
-528/251, -1
Suppose -17*j**4/11 + 4996*j**3/11 - 9204*j**2/11 - 40864*j/11 - 4672/11 = 0. What is j?
-2, -2/17, 4, 292
Solve 5*i**4 - 12700*i**3 + 8127750*i**2 - 80327500*i + 200028125 = 0 for i.
5, 1265
Suppose -195*v**3 + 1745*v**2 + 2040*v + 100 = 0. Calculate v.
-1, -2/39, 10
Solve d**5/5 + 10*d**4 - 591*d**3/5 + 108*d**2 = 0.
-60, 0, 1, 9
Find u, given that 6*u**3 + 1395*u**2 + 7506*u + 3405 = 0.
-227, -5, -1/2
Determine m so that -5*m**3 - 1365*m**2 + 15480*m - 39760 = 0.
-284, 4, 7
What is l in l**5 - 353*l**4 + 21423*l**3 + 113165*l**2 + 184208*l + 92820 = 0?
-2, -1, 85, 273
Solve -2*r**2/25 + 13344*r/5 + 66722/25 = 0 for r.
-1, 33361
Factor -145*k**3 - 6210*k**2 + 14125*k - 2250.
-5*(k - 2)*(k + 45)*(29*k - 5)
Let 4*y**5 - 10*y**4 - 60*y**3 + 160*y**2 - 64*y = 0. Calculate y.
-4, 0, 1/2, 2, 4
Factor -3*s**2/5 - 69126*s/5 - 398200323/5.
-3*(s + 11521)**2/5
Factor 5*s**2/3 + 5090*s/3 - 20440/3.
5*(s - 4)*(s + 1022)/3
Solve -26*s**4 - 9096*s**3 - 25198*s**2 + 166488*s - 24984 = 0 for s.
-347, -6, 2/13, 3
Factor -2*p**3/5 - 86734*p**2/5 - 693776*p/5 - 1387488/5.
-2*(p + 4)**2*(p + 43359)/5
Factor -39*m**2 + 1710*m - 15531.
-3*(m - 31)*(13*m - 167)
Factor -2*u**3/9 - 34*u**2/3.
-2*u**2*(u + 51)/9
Solve -111*p**3 + 885*p**2 - 753*p - 21 = 0.
-1/37, 1, 7
Factor -3*o**2 - 1242*o + 7560.
-3*(o - 6)*(o + 420)
Find t such that -25*t**3 - 22290*t**2 - 35580*t + 17800 = 0.
-890, -2, 2/5
Factor 2*c**3 - 27398*c**2 + 93762768*c + 469499040.
2*(c - 6852)**2*(c + 5)
Factor 4*i**5/7 + 1580*i**4/7 + 158380*i**3/7 + 465700*i**2/7 + 66080*i + 21952.
4*(i + 1)**3*(i + 196)**2/7
Factor -4*j**2 + 483548*j - 483544.
-4*(j - 120886)*(j - 1)
Factor -2*b**2/13 + 114*b + 15444.
-2*(b - 858)*(b + 117)/13
Let 4*g**2 - 76120*g + 362140900 = 0. What is g?
9515
Determine c so that c**5 + 129*c**4 - 668*c**3 + 276*c**2 + 1072*c = 0.
-134, -1, 0, 2, 4
Suppose -2*n**2 + 624*n - 4270 = 0. What is n?
7, 305
Let -2*r**5/11 - 196*r**4/11 + 1702*r**3/11 + 592*r**2/11 - 4696*r/11 - 3392/11 = 0. What is r?
-106, -1, 2, 8
Factor -p**3 - 285*p**2 - 6264*p.
-p*(p + 24)*(p + 261)
Factor n**2/3 - 398*n.
n*(n - 1194)/3
Factor 3*t**2/4 - 249*t - 23256.
3*(t - 408)*(t + 76)/4
Suppose 4*t**3 - 724*t**2 + 4800*t + 12528 = 0. Calculate t.
-2, 9, 174
Let s**2 + 33134*s = 0. Calculate s.
-33134, 0
Factor -3*o**5 + 381*o**4 - 750*o**3.
-3*o**3*(o - 125)*(o - 2)
Let -2*w**4/7 + 8*w**3 + 314*w**2/7 + 520*w/7 + 264/7 = 0. Calculate w.
-2, -1, 33
Factor k**5/4 - 3049*k**4/2 - 36696*k**3 - 220392*k**2.
k**2*(k - 6122)*(k + 12)**2/4
Let -115*f**2 - 5185*f - 450 = 0. Calculate f.
-45, -2/23
Find f such that -58*f**2/5 + 3244*f/5 + 224/5 = 0.
-2/29, 56
Factor 10*i**4/23 - 2982*i**3/23 + 2972*i**2/23.
2*i**2*(i - 1)*(5*i - 1486)/23
Solve -t**2/5 + 16594*t/5 - 68840209/5 = 0.
8297
Factor -55*u**4 + 5050*u**3 - 9000*u**2.
-5*u**2*(u - 90)*(11*u - 20)
Find k such that 3*k**3/2 - 1107*k**2 + 217872*k - 4942704 = 0.
26, 356
Factor -r**2 - 395*r - 394.
-(r + 1)*(r + 394)
Factor -4*f**2 - 2728*f + 2732.
-4*(f - 1)*(f + 683)
What is i in 3*i**2 - 445050*i - 1335177 = 0?
-3, 148353
Factor -o**3/6 - 55*o**2/2 + 28*o + 166/3.
-(o - 2)*(o + 1)*(o + 166)/6
Suppose -2*r**3/7 + 1540*r**2 - 14579800*r/7 + 144722000/7 = 0. What is r?
10, 2690
Factor -2*u**2/3 + 542*u + 823196/3.
-2*(u - 1166)*(u + 353)/3
Determine l, given that 3*l**5/8 + 51*l**4/4 + 513*l**3/4 + 681*l**2/2 + 123*l/8 - 1989/4 = 0.
-17, -13, -3, -2, 1
Determine j so that -4*j**4 - 1708*j**3 = 0.
-427, 0
Factor -4*u**4 - 2200*u**3 - 295828*u**2 + 1834800*u - 2782224.
-4*(u - 3)**2*(u + 278)**2
Determine y, given that 3*y**3 + 741*y**2 - 3012*y = 0.
-251, 0, 4
Suppose 2*j**4 + 162*j**3 + 2646*j**2 - 38042*j - 863328 = 0. Calculate j.
-51, -23, 16
What is h in 3*h**4 + 273*h**3 - 1443*h**2 - 273*h + 1440 = 0?
-96, -1, 1, 5
Factor 2*v**2 - 688138*v + 688136.
2*(v - 344068)*(v - 1)
Factor 2*a**2/3 + 558*a + 22260.
2*(a + 42)*(a + 795)/3
Factor 4*u**3/5 - 5004*u**2/5 - 4*u/5 + 5004/5.
4*(u - 1251)*(u - 1)*(u + 1)/5
Factor 15129*y**3/2 - 1710069*y**2/2 + 27800*y - 226.
(y - 113)*(123*y - 2)**2/2
Determine w so that 2*w**3 - 1264*w**2 - 7640*w - 10208 = 0.
-4, -2, 638
Factor -u**2/6 - 166*u/3 + 688.
-(u - 12)*(u + 344)/6
Factor -5*p**3 - 2285*p**2 - 69610*p + 148400.
-5*(p - 2)*(p + 35)*(p + 424)
Solve 2*l**2 - 12046*l + 12044 = 0 for l.
1, 6022
Factor -3*s**3 + 3170*s**2 - 838464*s + 557568.
-(s - 528)**2*(3*s - 2)
Solve t**4/10 - 66*t**3/5 + 13*t**2 + 66*t/5 - 131/10 = 0.
-1, 1, 131
Solve 4*y**2 - 270508*y + 1622904 = 0.
6, 67621
Find n, given that n**5/4 + 1885*n**4/4 + 883583*n**3/4 - 4450009*n**2/4 + 1784160*n - 893025 = 0.
-945, 1, 2
Solve -2*x**5/3 - 12994*x**4/9 - 21638*x**3/9 + 482*x**2 + 21644*x/9 + 8656/9 = 0 for x.
-2164, -1, -2/3, 1
Factor -2*s**3/7 - 10488*s**2/7 - 13739274*s/7 + 27520516/7.
-2*(s - 2)*(s + 2623)**2/7
Factor 2*z**2 + 3456*z + 164542.
2*(z + 49)*(z + 1679)
Determine c so that 3*c**5/4 + 111*c**4/2 - 447*c**3/2 - 45096*c**2 + 2258595*c/4 - 1896075/2 = 0.
-53, 2, 15
Let q**3 - 225966*q**2 + 12765158289*q = 0. Calculate q.
0, 112983
Solve -21*b**5/4 + 3253*b**4 - 72519*b**3/4 + 10287*b**2 - 1535*b = 0.
0, 2/7, 1/3, 5, 614
Solve -12*r**3 + 105628*r**2 - 105592*r - 211232 = 0 for r.
-1, 2, 26404/3
Factor -k**2/7 - 3831*k/7 - 38210/7.
-(k + 10)*(k + 3821)/7
Solve -13*k**5/3 + 86*k**4 - 355*k**3 - 2120*k**2/3 + 836*k + 144 = 0.
-2, -2/13, 1, 9, 12
Suppose -u**5 + 92*u**4 - 2373*u**3 + 11782*u**2 - 14792*u = 0. Calculate u.
0, 2, 4, 43
Factor 2*h**3/3 + 5018*h**2/3.
2*h**2*(h + 2509)/3
Solve -2*i**4 + 22302*i**3 + 22304*i**2 = 0.
-1, 0, 11152
Find f, given that 2*f**4 + 10*f**3 - 190*f**2 - 810*f + 2268 = 0.
-9, -7, 2, 9
Determine j so that j**3/3 + 79*j**2/3 - 140*j = 0.
-84, 0, 5
Suppose -x**2/10 - 192654*x/5 - 18557781858/5 = 0. What is x?
-192654
Solve 5*d**4 - 1490*d**3 - 160035*d**2 - 155540*d + 317060 = 0.
-83, -2, 1, 382
Factor -w**3/5 - 742*w**2/5 - 13049*w/5 - 12308/5.
-(w + 1)*(w + 17)*(w + 724)/5
Factor -3*g**3/2 - 13323*g**2 + 53310*g - 53316.
-3*(g -