5*(v - 764)*(v - 713)/3
Let 11*r**5 + 471*r**4 + 376*r**3 - 84*r**2 = 0. What is r?
-42, -1, 0, 2/11
Factor 17450*b**2/3 - 5*b/3.
5*b*(3490*b - 1)/3
Factor w**2/4 + 6890*w + 27559/4.
(w + 1)*(w + 27559)/4
Let 13*p**5/3 + 25*p**4 - 31*p**3/3 - 129*p**2 + 30*p = 0. Calculate p.
-5, -3, 0, 3/13, 2
Determine t so that 15*t**2/7 - 5784*t/7 + 495 = 0.
3/5, 385
Suppose g**4/2 - 25*g**3 - 2*g**2 + 100*g = 0. Calculate g.
-2, 0, 2, 50
Find j such that 3*j**5 - 450*j**4 + 3441*j**3 - 4662*j**2 - 3444*j + 5112 = 0.
-1, 1, 2, 6, 142
Solve -9*j**4/5 - 4407*j**3/5 - 50256*j**2/5 - 31548*j/5 = 0.
-478, -11, -2/3, 0
Let 2*a**2/11 + 576*a/11 + 36864/11 = 0. What is a?
-192, -96
Suppose -20*x**4 + 225*x**3 - 435*x**2 + 275*x - 45 = 0. What is x?
1/4, 1, 9
Solve -15*b**5 + 170*b**4 + 1655*b**3 + 2670*b**2 - 1080*b = 0 for b.
-4, -3, 0, 1/3, 18
Suppose -32*g**5 + 624*g**4 - 3202*g**3 + 6994*g**2 - 6960*g + 2600 = 0. Calculate g.
5/4, 2, 13
Determine i so that 4*i**2 + 19160*i + 22944100 = 0.
-2395
Factor 3*b**2/5 + 6345156*b/5 + 3355083722028/5.
3*(b + 1057526)**2/5
Solve -12*x**3 - 596*x**2/3 + 272*x/3 = 0.
-17, 0, 4/9
Solve -3*i**3 + 12174*i**2 - 12171*i = 0 for i.
0, 1, 4057
Solve h**2/6 + 18197*h + 993392427/2 = 0.
-54591
Factor -139*k**2/4 - 4315*k/4 - 93/2.
-(k + 31)*(139*k + 6)/4
Determine u, given that -3721*u**3/3 + 1868186*u**2/3 - 122492*u/3 + 2008/3 = 0.
2/61, 502
Factor -3*w**3 - 13551*w**2 + 27111*w - 13557.
-3*(w - 1)**2*(w + 4519)
Determine u, given that -5292*u**5 + 164388*u**4 - 9992*u**3 - 13224*u**2 + 2484*u - 124 = 0.
-1/3, 1/9, 1/7, 31
Factor -38*s**2/7 + 2228*s/7 - 1872.
-2*(s - 52)*(19*s - 126)/7
Let -2*a**2/3 + 2378*a/3 + 12040 = 0. Calculate a.
-15, 1204
Factor -15*w**2/2 - 20232*w - 153330.
-3*(w + 2690)*(5*w + 38)/2
Factor -2*y**3 - 1944*y**2 + 1950*y + 3892.
-2*(y - 2)*(y + 1)*(y + 973)
Suppose -2*u**4/11 + 14*u**3/11 + 1984*u**2/11 + 19968*u/11 = 0. What is u?
-16, 0, 39
Determine x so that 21*x**2 + 33843*x - 14508 = 0.
-1612, 3/7
Factor -3*q**3/8 - 3111*q**2/8 + 785127*q/8 - 44731965/8.
-3*(q - 109)**2*(q + 1255)/8
Solve 33*d**5/4 - 579*d**4 - 9381*d**3/4 + 1023*d**2 + 2337*d - 444 = 0 for d.
-4, -1, 2/11, 1, 74
Factor -4*z**3 - 62736*z**2 - 245862336*z + 984453376.
-4*(z - 4)*(z + 7844)**2
Factor -c**3/4 + 6743*c**2 - 181845221*c/4 - 181899169/2.
-(c - 13487)**2*(c + 2)/4
Factor 2*c**2 - 6754*c - 149556.
2*(c - 3399)*(c + 22)
Factor -3*m**3 + 411*m**2 - 3393*m - 840159.
-3*(m - 87)**2*(m + 37)
Let -4*v**2 - 31216*v - 60902416 = 0. What is v?
-3902
Factor -w**3 - 109*w**2 + 584*w + 1596.
-(w - 7)*(w + 2)*(w + 114)
Suppose -4*m**4 - 40*m**3 - 148*m**2 - 240*m - 144 = 0. What is m?
-3, -2
Factor -2*j**3/9 + 38*j**2/9 + 562*j/9 + 58.
-2*(j - 29)*(j + 1)*(j + 9)/9
Factor p**3/2 + 2073*p**2/2 + 1073295*p/2 - 1075369/2.
(p - 1)*(p + 1037)**2/2
Factor 2*b**4 + 41942*b**3 - 125838*b**2 + 125842*b - 41948.
2*(b - 1)**3*(b + 20974)
Suppose -3*k**5/2 - 38070*k**4 = 0. What is k?
-25380, 0
Solve 3*g**5 + 3315*g**4 - 40200*g**3 + 13980*g**2 + 644160*g + 857856 = 0.
-1117, -2, 8
Factor 2*l**3/11 - 262*l**2/11 + 1748*l/11 - 1488/11.
2*(l - 124)*(l - 6)*(l - 1)/11
Factor -5*u**2 + 240*u + 319700.
-5*(u - 278)*(u + 230)
Determine l, given that 15*l**3 + 10551*l**2 - 16920*l = 0.
-705, 0, 8/5
Suppose -12*m**5/5 - 13016*m**4/5 - 12112*m**3 - 86432*m**2/5 - 6912*m = 0. What is m?
-1080, -2, -2/3, 0
Factor -n**3/4 + 37381*n**2/4 - 224259*n/4 + 336375/4.
-(n - 37375)*(n - 3)**2/4
Suppose -3*p**3 + 5028*p**2 + 15105*p + 10074 = 0. What is p?
-2, -1, 1679
Suppose 9*c**5 + 107921*c**4 + 322510659*c**3 - 6092654949*c**2 + 4471875460*c + 1298160900 = 0. Calculate c.
-6005, -2/9, 1, 18
Let i**5/5 - 29*i**4/5 + 202*i**3/5 - 34*i**2 - 1067*i/5 - 133 = 0. Calculate i.
-1, 5, 7, 19
Determine k so that -1855*k**5 - 5525*k**4/6 + 5575*k**3/3 + 5525*k**2/6 - 10*k/3 = 0.
-1, -1/2, 0, 4/1113, 1
Factor -2*z**3/9 + 19784*z**2/9.
-2*z**2*(z - 9892)/9
Find s such that 3*s**5/4 - 6055*s**4/4 + 3044115*s**3/4 + 11255455*s**2/4 - 3058275*s/2 - 2044242 = 0.
-4, -2/3, 1, 1011
Determine v, given that 2*v**2 - 1317014*v + 2634020 = 0.
2, 658505
Solve 2*n**5/7 - 360*n**4/7 - 51896*n**3/7 + 105216*n**2/7 = 0 for n.
-96, 0, 2, 274
Let y**5 + 40*y**4 + 321*y**3 + 630*y**2 = 0. What is y?
-30, -7, -3, 0
Determine j, given that 2*j**5 - 118*j**4 + 2414*j**3 - 19362*j**2 + 45864*j = 0.
0, 4, 13, 21
Factor -x**3/7 - 841*x**2/7 - 186864*x/7 - 4161600/7.
-(x + 25)*(x + 408)**2/7
Factor -5*g**5 - 1525*g**4 + 3065*g**3 - 1535*g**2.
-5*g**2*(g - 1)**2*(g + 307)
Find n, given that -3*n**2 - 17637*n + 603126 = 0.
-5913, 34
Suppose 28*a**5 - 1532*a**4 - 4052*a**3 + 22908*a**2 + 6840*a = 0. What is a?
-5, -2/7, 0, 3, 57
Suppose -868*a**2 - 735188*a + 6776 = 0. Calculate a.
-847, 2/217
What is a in 3*a**2 - 1730547*a + 1730544 = 0?
1, 576848
Find l, given that -4*l**5 + 972*l**4 - 928*l**3 - 9648*l**2 - 7744*l = 0.
-2, -1, 0, 4, 242
Let 2*p**3/5 + 1528*p**2/5 = 0. What is p?
-764, 0
Factor -2*v**2 - 22*v + 1800.
-2*(v - 25)*(v + 36)
Factor -2*v**2/7 - 262*v - 174744/7.
-2*(v + 108)*(v + 809)/7
What is z in -6012*z**3/5 + 3936*z**2/5 - 124*z - 8/5 = 0?
-2/167, 1/3
Factor 2*l**3 - 920*l**2 + 91744*l + 3334016.
2*(l - 244)**2*(l + 28)
Find v, given that -v**3 + 1845*v**2 - 842643*v - 7733961 = 0.
-9, 927
Suppose -2*m**4/5 - 94*m**3/5 - 984*m**2/5 + 3176*m/5 + 9568/5 = 0. What is m?
-26, -23, -2, 4
Factor -9205156*j**3 - 97088*j**2 - 256*j.
-4*j*(1517*j + 8)**2
Let -2*y**3/13 - 7530*y**2/13 - 7202886*y/13 - 216112718/13 = 0. What is y?
-1867, -31
Find n such that 2*n**2/23 - 19632*n/23 = 0.
0, 9816
Solve 4*g**5 - 136*g**4 + 1120*g**3 = 0.
0, 14, 20
Solve 3*k**5 + 771*k**4 - 1602*k**3 - 12426*k**2 + 1599*k + 11655 = 0.
-259, -3, -1, 1, 5
Factor -a**3/5 + 48*a**2 + 4725*a.
-a*(a - 315)*(a + 75)/5
Factor -4*o**2 + 136184*o - 1159130116.
-4*(o - 17023)**2
Factor -m**4/7 + 57312*m**3/7.
-m**3*(m - 57312)/7
Factor 1045458*g**3 - 11505822*g**2 + 63632*g - 88.
2*(g - 11)*(723*g - 2)**2
Let 2*n**4/9 + 142*n**3/9 - 2*n**2/9 - 142*n/9 = 0. What is n?
-71, -1, 0, 1
Determine h so that 2*h**5 - 144*h**4 - 30*h**3 + 2140*h**2 + 1488*h - 3456 = 0.
-3, -2, 1, 4, 72
Factor 5*l**2 + 7200*l - 7205.
5*(l - 1)*(l + 1441)
Determine z, given that 4*z**2 - 4980*z + 9944 = 0.
2, 1243
Let -4*a**4 - 1392*a**3 - 158292*a**2 - 5788600*a + 12221568 = 0. Calculate a.
-144, -103, 2
Factor 5*g**2 - 5275900*g + 1391756040500.
5*(g - 527590)**2
Factor 12*i**3 - 71*i**2 + 57*i - 10.
(i - 5)*(3*i - 2)*(4*i - 1)
Factor -2*k**3 - 2886*k**2 - 11512*k.
-2*k*(k + 4)*(k + 1439)
Determine w so that -5*w**4 - 531665*w**3 - 18842029725*w**2 - 222467775483035*w + 3118243353669430 = 0.
-35449, 14
Find h, given that 10*h**4 + 13775*h**3 - 104115*h**2 - 332500*h - 138500 = 0.
-1385, -2, -1/2, 10
Factor 2*d**3/9 + 46*d**2/3 - 1232*d/9.
2*d*(d - 8)*(d + 77)/9
Let n**5/2 - 372*n**4 + 69192*n**3 = 0. Calculate n.
0, 372
Factor 2*i**4/5 + 36*i**3/5 - 78*i**2/5 + 8*i.
2*i*(i - 1)**2*(i + 20)/5
Factor 4*j**3 - 264*j**2 - 6676*j - 17544.
4*(j - 86)*(j + 3)*(j + 17)
Suppose -2*t**3 - 352*t**2 - 310*t + 7000 = 0. Calculate t.
-175, -5, 4
Factor 9*y**4/7 + 82*y**3/7 - 816*y**2/7.
y**2*(y - 6)*(9*y + 136)/7
Factor 2*c**2 + 268*c + 2928.
2*(c + 12)*(c + 122)
Factor -2*d**3/5 + 76*d**2 - 4600*d + 90000.
-2*(d - 90)*(d - 50)**2/5
What is f in -5*f**4 - 117865*f**3 - 5649840*f**2 - 90356480*f - 481792000 = 0?
-23525, -16
Factor v**2 + 908*v - 2733.
(v - 3)*(v + 911)
Find n such that 2*n**5/7 + 10*n**4/7 - 1226*n**3/7 + 4694*n**2/7 - 3480*n/7 = 0.
-29, 0, 1, 3, 20
Find y, given that -2*y**3/3 + 36*y**2 + 194*y + 472/3 = 0.
-4, -1, 59
Solve -2*l**4/7 - 466*l**3/7 - 27372*l**2/7 - 3712*l + 53824/7 = 0.
-116, -2, 1
Let u**4/7 - 5996*u**3/7 + 9017934*u**2/7 - 89730140*u/7 + 223951225/7 = 0. What is u?
5, 2993
Determine a, given that -3*a**2/2 + 303*a + 40545/2 = 0.
-53, 255
Factor d**2 - 231*d + 13068.
(d - 132)*(d - 99)
Let 4*t**4 - 156*t**3 + 1976*t**2 - 8064*t = 0. Calculate t.
0, 9, 14, 16
Factor -4*k**3 - 7188*k**2.
-4*k**2*(k + 1797)
Factor m**2/3 - 5551*m/3 + 11098/3.
(m - 5549)*(m - 2)/3
Factor -r**2/2 + 288*r + 36936.
-(r - 684)*(r + 108)/2
Factor 9711*h**2 - 29109*h - 72.
3*(h - 3)*(3237*h + 8)
Solve -a**2 + 132114*a - 4363527249 = 0 for a.
66057
Factor 4