)**2/3
Solve 2*c**3/7 - 148*c**2 - 7326*c/7 - 1800 = 0.
-4, -3, 525
Let -12*z**5 + 159813*z**4 - 709489806*z**3 + 1050163065744*z**2 - 787045966182*z - 262407769557 = 0. Calculate z.
-1/4, 1, 4439
Factor 3*w**2 + 2742*w + 66675.
3*(w + 25)*(w + 889)
Factor -5*x**4 - 500*x**3 - 4445*x**2 + 4950*x.
-5*x*(x - 1)*(x + 11)*(x + 90)
Factor 4*g**2/7 - 1759960*g/7 + 193591200100/7.
4*(g - 219995)**2/7
Factor -4*k**3/7 + 618480*k**2/7.
-4*k**2*(k - 154620)/7
Factor r**2 - 74526*r.
r*(r - 74526)
Factor -2*x**2/7 - 1908*x/7.
-2*x*(x + 954)/7
Suppose 14*p**5/15 - 244*p**4/5 - 86*p**3 - 328*p**2/15 + 72*p/5 = 0. Calculate p.
-1, 0, 2/7, 54
Let 2*a**4/9 + 17620*a**3/9 + 39141386*a**2/9 + 489448360*a/3 + 1543234568 = 0. Calculate a.
-4386, -19
Factor -2*u**3/13 - 48*u**2/13 - 118*u/13 + 168/13.
-2*(u - 1)*(u + 4)*(u + 21)/13
Solve 4*p**5/5 + 312*p**4/5 + 2024*p**3/5 - 311984*p**2/5 - 1133532*p + 12561944/5 = 0 for p.
-37, 2, 31
Factor y**5/4 - 5*y**4/2 + 8*y**3 - 19*y**2/2 + 15*y/4.
y*(y - 5)*(y - 3)*(y - 1)**2/4
Suppose 3*f**5 + 66*f**4 + 219*f**3 - 720*f**2 - 1836*f = 0. What is f?
-17, -6, -2, 0, 3
Factor 5*w**3 + 25210*w**2 + 201440*w + 402720.
5*(w + 4)**2*(w + 5034)
Solve -3*j**2/2 + 1050*j = 0.
0, 700
Factor 2*i**3/5 + 5538*i**2 + 95855856*i/5 + 95828168/5.
2*(i + 1)*(i + 6922)**2/5
Factor -2*a**3 + 8454*a**2 + 2*a - 8454.
-2*(a - 4227)*(a - 1)*(a + 1)
Factor -12*r**4 - 68*r**3 - 88*r**2 - 32*r.
-4*r*(r + 1)*(r + 4)*(3*r + 2)
Let -9*p**2 - 5257*p/2 - 146 = 0. What is p?
-292, -1/18
Solve 248858189*t**4/8 - 15680439753*t**3/8 + 74779923*t**2/4 - 118883*t/2 + 63 = 0 for t.
2/629, 63
Suppose -2*f**3/11 + 18132*f**2/11 - 3296*f = 0. What is f?
0, 2, 9064
Determine q so that -q**2 - 90*q - 176 = 0.
-88, -2
Factor 4*n**3 - 1324*n**2 - 28356*n + 96876.
4*(n - 351)*(n - 3)*(n + 23)
Factor -37393225*b**3/6 - 311602055*b**2/2 + 101916*b - 50/3.
-(b + 25)*(6115*b - 2)**2/6
Factor -35*q**2/4 - 4385*q/4 - 625/2.
-5*(q + 125)*(7*q + 2)/4
Solve -450*z**5/13 - 4034*z**4/13 + 10494*z**3/13 + 3682*z**2/13 - 10044*z/13 + 352/13 = 0 for z.
-11, -1, 8/225, 1, 2
Solve -5*s**4 + 775*s**3 + 33905*s**2 + 91385*s - 126060 = 0.
-33, -4, 1, 191
Factor -3*x**2 - 168420*x - 2363774700.
-3*(x + 28070)**2
Let 1942*a**2/3 - 3883*a/3 - 2/3 = 0. Calculate a.
-1/1942, 2
Find l such that 3237*l**4 - 12942*l**3 + 16161*l**2 - 6444*l - 12 = 0.
-2/1079, 1, 2
Factor y**3/3 + 8623*y**2 + 55762785*y - 167314225/3.
(y - 1)*(y + 12935)**2/3
Solve -d**2/9 - 84176*d/9 - 336688/9 = 0.
-84172, -4
Determine y so that -y**2 - 62166*y - 966152889 = 0.
-31083
Factor 2*l**3/3 - 46532*l**2/3 - 93070*l/3 - 15512.
2*(l - 23268)*(l + 1)**2/3
Find u such that -10*u**4/11 - 11732*u**3/11 + 21144*u**2/11 - 7052*u/11 - 2350/11 = 0.
-1175, -1/5, 1
What is v in 3*v**3 - 836100*v**2 + 58256103591*v - 116508862806 = 0?
2, 139349
Factor -2*v**4 + 41982*v**3 + 125958*v**2 + 125962*v + 41988.
-2*(v - 20994)*(v + 1)**3
Factor 84*d**2/5 + 592*d/5 + 848/5.
4*(d + 2)*(21*d + 106)/5
Find u, given that 2*u**3/5 - 178*u**2/5 + 508*u/5 + 688/5 = 0.
-1, 4, 86
Factor -5*x**5 + 40*x**4 + 450*x**3 + 1060*x**2 + 955*x + 300.
-5*(x - 15)*(x + 1)**3*(x + 4)
Solve -3*u**3 + 58542*u**2 - 285538596*u - 571311384 = 0 for u.
-2, 9758
Let 4*f**3/3 - 536*f**2/3 - 47108*f/3 - 30680 = 0. Calculate f.
-59, -2, 195
Let -2*j**4 + 590*j**3 - 582*j**2 - 331838*j - 2862184 = 0. What is j?
-13, 29, 292
Factor -2*n**3 + 69576*n**2 - 605032890*n - 1210344100.
-2*(n - 17395)**2*(n + 2)
Determine r, given that 3*r**5 + 828*r**4 + 76587*r**3 + 2976798*r**2 + 42906132*r + 40005096 = 0.
-137, -46, -1
Find v such that 2*v**2/11 + 3174*v/11 + 75024/11 = 0.
-1563, -24
Solve w**2 - 5914*w = 0.
0, 5914
Factor m**3 + 3912*m**2 + 3829845*m + 7644050.
(m + 2)*(m + 1955)**2
Solve 25*h**4 + 883195*h**3/3 - 1786930*h**2 + 235700*h/3 + 235640 = 0 for h.
-11782, -1/3, 2/5, 6
Determine v so that 7*v**4/2 - 167809*v**3/2 + 1340929755*v**2/2 - 3571534466411*v/2 - 510273943271 = 0.
-2/7, 7991
What is g in 243*g**5 - 53352*g**4 + 82443*g**3 - 8418*g**2 - 18300*g - 2616 = 0?
-2/9, 1, 218
Factor -9*f**2 - 40902*f - 27264.
-3*(f + 4544)*(3*f + 2)
Suppose -2*a**2/9 + 6308*a/9 - 2102/3 = 0. Calculate a.
1, 3153
Factor 3*u**4/2 - 546*u**3 + 61446*u**2 - 1992144*u.
3*u*(u - 154)**2*(u - 56)/2
Suppose -15*x**2 + 8563*x + 1142 = 0. What is x?
-2/15, 571
Let -2*j**3/3 - 7*j**2/3 + 3 = 0. What is j?
-3, -3/2, 1
Let 19*w**4/4 + 66*w**3 - 7*w**2 = 0. Calculate w.
-14, 0, 2/19
Determine p, given that 16*p**4/9 + 554*p**3 + 5968*p**2/3 + 12296*p/9 - 2464/3 = 0.
-308, -2, 3/8
Find w, given that 2*w**2/21 - 13428*w/7 + 67616694/7 = 0.
10071
Let -t**3/9 + 314*t**2/9 - 7840*t/9 - 998816/3 = 0. What is t?
-78, 196
Let w**3/5 - 165*w**2 + 33615*w + 172225 = 0. What is w?
-5, 415
Find l, given that -l**2/4 - 24621*l/4 - 24617 = 0.
-24617, -4
Suppose -3*l**5/7 + 6*l**4/7 + 957*l**3/7 - 5316*l**2/7 - 2052*l = 0. What is l?
-19, -2, 0, 9, 14
Determine x so that x**4/4 - 177*x**3/4 - 507*x**2 - 1868*x - 2256 = 0.
-4, -3, 188
Suppose -2*j**5 - 908*j**4 + 1838*j**3 + 6344*j**2 - 18216*j + 10944 = 0. Calculate j.
-456, -3, 1, 2
Find v, given that -14*v**4 - 276*v**3 + 194*v**2 + 6936*v - 6840 = 0.
-19, -6, 1, 30/7
Find m, given that m**4/6 + 59989*m**3/6 - 119981*m**2/6 + 19997*m/2 = 0.
-59991, 0, 1
Factor 5*k**3 + 650*k**2 - 4885*k - 12330.
5*(k - 9)*(k + 2)*(k + 137)
Let 2*z**5 + 410*z**4 - 1242*z**3 + 1246*z**2 - 416*z = 0. What is z?
-208, 0, 1
Determine b, given that -3*b**5/4 - 10923*b**4/4 + 109479*b**3/4 - 186177*b**2/4 + 21906*b = 0.
-3651, 0, 1, 8
Solve -5*d**2 + 212470*d - 1274640 = 0 for d.
6, 42488
Factor 4*x**3/3 - 148*x**2/3 + 1792*x/3 - 2352.
4*(x - 14)**2*(x - 9)/3
Determine m, given that -3*m**3/2 - 2571*m**2/2 + 3870*m = 0.
-860, 0, 3
Suppose -2*o**2 + 1350*o - 8028 = 0. Calculate o.
6, 669
Suppose -2*v**4/13 - 1162*v**3/13 - 15974*v**2/13 - 55566*v/13 = 0. Calculate v.
-567, -7, 0
Find s, given that s**2/3 - 379*s/3 + 126 = 0.
1, 378
Factor -2*r**2 + 29824*r + 388050.
-2*(r - 14925)*(r + 13)
Let 35*y**3 + 314*y**2/3 - 631*y + 6 = 0. What is y?
-6, 1/105, 3
Suppose 12*g**4 + 9447*g**3 + 222381*g**2 + 265593*g + 52647 = 0. Calculate g.
-763, -23, -1, -1/4
Determine i, given that i**3 - 21*i**2 - 628*i + 1332 = 0.
-18, 2, 37
Factor 3*k**2 + 1473*k - 523410.
3*(k - 239)*(k + 730)
Factor 2*t**2/9 - 700*t/3 - 10550/9.
2*(t - 1055)*(t + 5)/9
Solve 5*g**2/4 + 1085*g/2 - 2175/4 = 0 for g.
-435, 1
Determine k, given that 9*k**3/5 + 20766*k**2/5 + 12013056*k/5 + 7962624 = 0.
-1152, -10/3
Find b, given that -12*b**4 - 1040*b**3 + 102932*b**2 - 1275496*b - 896384 = 0.
-149, -2/3, 16, 47
Find d such that 2*d**5/5 + 38*d**4/5 + 138*d**3/5 - 38*d**2/5 - 28*d = 0.
-14, -5, -1, 0, 1
Let 2*b**5/11 + 28*b**4/11 - 646*b**3/11 + 3584*b**2/11 - 7640*b/11 + 5600/11 = 0. What is b?
-28, 2, 5
Solve -2*c**3/5 - 13934*c**2/5 - 24373712*c/5 - 72495456 = 0.
-3476, -15
Suppose a**4/2 + 37*a**3/2 - 309*a**2/2 - 2237*a/2 - 946 = 0. Calculate a.
-43, -4, -1, 11
Let 3*o**4 + 576*o**3 + 26583*o**2 - 87390*o - 113400 = 0. Calculate o.
-105, -90, -1, 4
Determine m so that m**5 - 162*m**4 + 632*m**3 + 16*m**2 - 2544*m + 2528 = 0.
-2, 2, 158
Solve 3*x**2/5 - 118152*x + 590757/5 = 0.
1, 196919
Factor 346*w**2/3 + 347*w/3 + 1/3.
(w + 1)*(346*w + 1)/3
Factor -q**3/8 - 709*q**2 + 17043*q/2 - 25578.
-(q - 6)**2*(q + 5684)/8
Suppose 5*z**4 + 540*z**3 - 2855*z**2 - 3390*z = 0. Calculate z.
-113, -1, 0, 6
Solve -2*z**4/3 + 92*z**3 - 10216*z**2/3 + 13904*z + 116160 = 0 for z.
-4, 10, 66
Find q, given that 2*q**5/7 + 1032*q**4/7 + 183298*q**3/7 + 12141572*q**2/7 + 167485368*q/7 + 155526064/7 = 0.
-166, -17, -1
Solve h**4 + 11484*h**3 + 32959078*h**2 - 65952612*h + 32982049 = 0.
-5743, 1
Suppose 3*k**2 + 5709*k - 40110 = 0. What is k?
-1910, 7
Factor -2*g**2 - 1428*g + 4302.
-2*(g - 3)*(g + 717)
Factor i**5/2 + 705*i**4/2 - 12933*i**3/2 + 58563*i**2/2.
i**2*(i - 9)**2*(i + 723)/2
Factor -i**3 + 110*i**2 + i - 110.
-(i - 110)*(i - 1)*(i + 1)
Factor -3*q**4 - 66*q**3 + 423*q**2 + 486*q.
-3*q*(q - 6)*(q + 1)*(q + 27)
Find d, given that d**5/4 - d**4/2 - 11*d**3/2 + 5*d**2 + 93*d/4 - 45/2 = 0.
-3, 1, 2, 5
Factor 3*p**2 - 3777*p - 615390.
3*(p - 1405)*(p + 146)
Solve 5*i**5 - 890*i**4 - 985*i**3 + 15850*i**2 + 46340*i + 35800 = 0 fo