given that -f**4 + 22*f**3 + 25*f**2 - 1726*f - 3360 = 0.
-7, -2, 15, 16
Determine u, given that u**2/2 + 188*u - 5656 = 0.
-404, 28
What is c in -2*c**5 + 81*c**4 + 485*c**3 + 950*c**2 + 732*c + 184 = 0?
-2, -1, -1/2, 46
Factor 4*f**2 - 16072*f - 32160.
4*(f - 4020)*(f + 2)
Find l, given that 2*l**5/13 - 688*l**4/13 + 3348*l**3/13 + 14192*l**2/13 + 15578*l/13 + 5424/13 = 0.
-1, 8, 339
Solve -2*b**2/5 + 42388*b/5 + 127182/5 = 0 for b.
-3, 21197
Let -5*x**3 + 12715*x**2 - 7961415*x - 155891295 = 0. Calculate x.
-19, 1281
Factor 3*f**3 + 126*f**2 + 1077*f + 1674.
3*(f + 2)*(f + 9)*(f + 31)
Solve -4*z**5/5 - 2044*z**4/5 - 41156*z**3/5 + 2044*z**2/5 + 8232*z = 0.
-490, -21, -1, 0, 1
Let -p**4/7 - 874*p**3/7 + 2640*p**2/7 + 7898*p/7 + 4385/7 = 0. Calculate p.
-877, -1, 5
Solve -4*m**4/5 - 68*m**3 + 360*m**2 = 0.
-90, 0, 5
Factor -3*j**3 - 34374*j**2 - 34371*j.
-3*j*(j + 1)*(j + 11457)
Factor 3*i**4 - 31029*i**3 - 186246*i**2 - 372540*i - 248376.
3*(i - 10349)*(i + 2)**3
Let u**2/7 - 552*u/7 - 2224/7 = 0. Calculate u.
-4, 556
Let 52*r**2/3 + 20792*r/3 - 3200/3 = 0. Calculate r.
-400, 2/13
Factor -2*n**3/3 + 1004*n**2/3 - 5962*n/3 + 4960/3.
-2*(n - 496)*(n - 5)*(n - 1)/3
Determine k so that 2*k**3/9 - 668*k**2/3 + 164630*k/3 + 4080400/9 = 0.
-8, 505
Find s such that 16*s**4/7 + 102*s**3 + 584*s**2 + 2280*s/7 = 0.
-38, -6, -5/8, 0
Let -4*q**3/3 - 7304*q**2/3 + 29408*q = 0. What is q?
-1838, 0, 12
Factor -m**3/7 + 62*m**2/7 - 719*m/7 + 94.
-(m - 47)*(m - 14)*(m - 1)/7
Factor 3*x**3/2 + 264*x**2 + 4563*x/2 + 4509.
3*(x + 3)*(x + 6)*(x + 167)/2
Suppose -t**5 - 281*t**4 - 1661*t**3 - 3031*t**2 - 1650*t = 0. Calculate t.
-275, -3, -2, -1, 0
Let -l**4/3 + 2960*l**3/3 + 5924*l**2/3 = 0. What is l?
-2, 0, 2962
Factor -v**2/5 + 4071*v/5.
-v*(v - 4071)/5
Factor 5*d**2 + 188290*d + 1772656205.
5*(d + 18829)**2
Factor t**3 + 279*t**2 + 1370*t.
t*(t + 5)*(t + 274)
Factor -2*g**2 - 206216*g - 5315629832.
-2*(g + 51554)**2
Determine v so that -2*v**2 - 43766*v - 175032 = 0.
-21879, -4
Let 2*v**2/5 - 17986*v/5 - 108276 = 0. What is v?
-30, 9023
Find p, given that 2*p**5 + 440*p**4 + 18056*p**3 - 714432*p**2 = 0.
-122, 0, 24
Solve 21*j**2 - 4230*j - 15375 = 0.
-25/7, 205
Determine i, given that 10*i**4/13 - 254*i**3/13 - 1340*i**2/13 - 1224*i/13 + 720/13 = 0.
-3, -2, 2/5, 30
Factor 3*f**4/2 - 684*f**3 - 2061*f**2 - 2064*f - 1377/2.
3*(f - 459)*(f + 1)**3/2
Factor l**4 - 6095*l**3 - l**2 + 6095*l.
l*(l - 6095)*(l - 1)*(l + 1)
Solve -4*g**2 - 2476*g + 2480 = 0.
-620, 1
Let 3*r**2 - 188712*r + 188709 = 0. Calculate r.
1, 62903
Factor 2*j**2/7 - 106608*j/7 + 1420658208/7.
2*(j - 26652)**2/7
Factor 5*k**2 + 1265*k - 97650.
5*(k - 62)*(k + 315)
Factor -j**3/2 + 86*j**2 + 13662*j + 408240.
-(j - 280)*(j + 54)**2/2
Let x**3/4 + 3347*x**2 - 40173*x/4 = 0. Calculate x.
-13391, 0, 3
What is k in -4*k**3/5 + 8976*k**2 - 44868*k/5 - 89752/5 = 0?
-1, 2, 11219
Factor -2*q**2/7 - 61436*q/7 - 1473312/7.
-2*(q + 24)*(q + 30694)/7
Solve r**5 + 845*r**4 - 199000*r**3 + 10450000*r**2 = 0 for r.
-1045, 0, 100
Find o, given that -5*o**3 - 140*o**2 + 1195*o + 30450 = 0.
-29, -14, 15
Find k, given that -12*k**2/7 - 19076*k - 89016/7 = 0.
-11127, -2/3
Factor 2*p**2/11 + 7796*p/11 + 316274/11.
2*(p + 41)*(p + 3857)/11
Find l, given that -l**4 - 83*l**3 - 659*l**2 + 5123*l - 4380 = 0.
-73, -15, 1, 4
Factor -2*k**2/17 - 87082*k/17 + 261264/17.
-2*(k - 3)*(k + 43544)/17
Factor 4*l**5 - 72*l**4 - 92*l**3 + 3744*l**2 + 10816*l.
4*l*(l - 13)**2*(l + 4)**2
Solve 2*v**2 + 190*v + 552 = 0 for v.
-92, -3
Factor -3*j**3/8 - 117*j**2/8 - 261*j/4 - 51.
-3*(j + 1)*(j + 4)*(j + 34)/8
Find i such that i**3 + 13001*i**2 - 104056*i + 208144 = 0.
-13009, 4
Let -3*a**2/8 - 309*a/8 - 690 = 0. Calculate a.
-80, -23
Factor 2*o**3 - 2118*o**2 - 40928*o - 38808.
2*(o - 1078)*(o + 1)*(o + 18)
Factor -3*m**4/4 - 1245*m**3/4 - 18561*m**2/4 + 26701209*m/4.
-3*m*(m - 123)*(m + 269)**2/4
Factor 5*q**2 - 363*q - 146.
(q - 73)*(5*q + 2)
Factor 4*l**3 + 308*l**2 - 14656*l - 14960.
4*(l - 34)*(l + 1)*(l + 110)
Find q such that -q**2 + 18023*q + 18024 = 0.
-1, 18024
Factor 2*r**4 + 610*r**3 + 46792*r**2 + 38912*r - 554496.
2*(r - 3)*(r + 4)*(r + 152)**2
Determine l, given that 54*l**5/7 + 1495098*l**4/7 - 1495134*l**3/7 + 498382*l**2/7 - 55376*l/7 = 0.
-27688, 0, 1/3
Solve -16*b**3/5 + 81542*b**2/5 + 459216*b/5 - 183672/5 = 0 for b.
-6, 3/8, 5102
Factor -2*z**3/11 - 2035972*z**2/11.
-2*z**2*(z + 1017986)/11
Find h, given that 2*h**5/5 + 636*h**4 + 1310274*h**3/5 + 36307504*h**2/5 - 15311712*h + 7787520 = 0.
-780, -32, 1
Factor -u**3 - 77*u**2 - 1400*u - 2500.
-(u + 2)*(u + 25)*(u + 50)
Find h such that 2*h**3/11 + 3138*h**2/11 + 570*h + 3134/11 = 0.
-1567, -1
Find l, given that -l**4 + 3648*l**3 + 18257*l**2 + 29220*l + 14612 = 0.
-2, -1, 3653
Factor 3*r**3 - 246*r**2 + 4071*r.
3*r*(r - 59)*(r - 23)
Determine m so that -28*m**4/5 - 806*m**3/5 + 212*m**2 + 1208*m/5 + 48 = 0.
-30, -1/2, -2/7, 2
Find z, given that 10*z**3 + 965*z**2 + 22520*z + 11020 = 0.
-58, -38, -1/2
Find b such that -b**2 - 4763*b - 14280 = 0.
-4760, -3
Let 5*x**3 - 4515*x**2 + 57910*x - 53400 = 0. Calculate x.
1, 12, 890
Factor -4*r**5 + 10944*r**4 - 9980928*r**3 + 3034202112*r**2.
-4*r**2*(r - 912)**3
Suppose 2*s**4/3 - 838*s**3/3 + 88198*s**2/3 - 87362*s/3 = 0. What is s?
0, 1, 209
Factor -4*b**3 + 67480*b**2 - 284529408*b - 569328768.
-4*(b - 8436)**2*(b + 2)
Let -3*g**5 + 10866*g**4 + 65268*g**3 + 130578*g**2 + 108831*g + 32652 = 0. What is g?
-3, -1, 3628
Factor -r**3/4 + 321*r**2/4 + 16105*r/4 - 16425/4.
-(r - 365)*(r - 1)*(r + 45)/4
Determine h so that -30*h**4 + 2825*h**3 - 350*h**2 - 11300*h + 1880 = 0.
-2, 1/6, 2, 94
Factor 3*x**3 + 150*x**2 + 1941*x + 1794.
3*(x + 1)*(x + 23)*(x + 26)
Suppose w**5/3 + 460*w**4/3 - 9475*w**3/3 + 59750*w**2/3 - 40000*w = 0. Calculate w.
-480, 0, 5, 10
Suppose -5*y**3 - 222410*y**2 - 889580*y - 889560 = 0. Calculate y.
-44478, -2
Factor -2*g**3/5 - 3158*g**2/5 + 70444*g/5.
-2*g*(g - 22)*(g + 1601)/5
Solve u**5/5 - 1251*u**4/5 + 404154*u**3/5 - 8064374*u**2/5 + 7459089*u + 9153045 = 0.
-1, 11, 615
Solve -3*j**3/4 - 117*j**2 - 11805*j/4 + 3069 = 0 for j.
-124, -33, 1
Let -3*j**5/5 + 12*j**4 + 177*j**3/5 - 7374*j**2/5 + 20076*j/5 - 12936/5 = 0. What is j?
-11, 1, 2, 14
Let -2*g**2/3 + 3562*g/3 + 17960 = 0. Calculate g.
-15, 1796
Solve 198*s**2 + 3975*s + 300 = 0.
-20, -5/66
Solve m**2/4 + 76*m - 305/4 = 0 for m.
-305, 1
Factor 212*d**3/3 - 272*d**2 + 508*d/3 + 32.
4*(d - 3)*(d - 1)*(53*d + 8)/3
Factor m**3/3 - 448*m**2 + 146880*m + 7398400/3.
(m - 680)**2*(m + 16)/3
What is j in -5*j**4 - 69866*j**3 - 325398564*j**2 - 505061927992*j + 404257833248 = 0?
-4658, 4/5
Let -5*c**3 + 565*c**2 + 32720*c - 177100 = 0. Calculate c.
-46, 5, 154
Factor a**3/7 - a**2 - 4520*a/7 - 43500/7.
(a - 75)*(a + 10)*(a + 58)/7
Factor 13*u**2/6 + 209*u/3 + 244.
(u + 4)*(13*u + 366)/6
Find w, given that -2*w**4/11 + 844*w**3/11 - 9050*w**2/11 + 288*w + 49320/11 = 0.
-2, 3, 10, 411
Factor -4*p**3 - 4344*p**2 - 17292*p + 21640.
-4*(p - 1)*(p + 5)*(p + 1082)
Determine a so that 4*a**2 - 12736*a + 10137856 = 0.
1592
Find t, given that 2*t**5/11 + 180*t**4/11 - 7566*t**3/11 - 704*t**2 = 0.
-121, -1, 0, 32
Factor -8500*l**3/3 + 145*l**2/3.
-5*l**2*(1700*l - 29)/3
Factor 196249*v**2/4 - 7974*v + 324.
(443*v - 36)**2/4
Factor -g**2/8 + 233*g/8 - 1113/2.
-(g - 212)*(g - 21)/8
Let -320*f**2 + 9444*f - 4756 = 0. What is f?
41/80, 29
Find t, given that 5*t**3 - 15605*t**2 - 15610*t = 0.
-1, 0, 3122
Suppose -y**2/5 + 3622*y/5 + 399003/5 = 0. Calculate y.
-107, 3729
Let -a**3 + 548*a**2 - 547*a = 0. What is a?
0, 1, 547
Factor 2*r**3/13 + 24874*r**2/13 - 99520*r/13 + 7656.
2*(r - 2)**2*(r + 12441)/13
Let j**3 + 15733*j**2 + 188688*j + 565956 = 0. Calculate j.
-15721, -6
Find d such that -4*d**3 + 648*d**2 - 30192*d + 434656 = 0.
34, 94
Solve -2*k**2/3 + 46820*k - 822042150 = 0.
35115
Factor -2*i**4 - 156*i**3 - 1424*i**2 - 4416*i - 4352.
-2*(i + 2)*(i + 4)**2*(i + 68)
Let -3*p**2 + 161241*p - 161238 = 0. Calculate p.
1, 53746
Let -3*w**3 + 1284*w**2 - 12507*w - 13794 = 0. What is w?
-1, 11, 418
What is l in 65*l**3 + 435*l**2 + 640*l - 240 = 0?
-4, -3, 4/13
Factor w**3/10 + 11197*w**2/10 - 22397*w/10 + 11199/10.
(w - 1)**2*(w + 11199)/10
Factor 4*m**2 + 79