0, 3, 72
Factor -3*o**3 + 222*o**2 + 3180*o - 7224.
-3*(o - 86)*(o - 2)*(o + 14)
Let 2*k**2/7 - 3821784*k/7 + 1825754117832/7 = 0. Calculate k.
955446
Let -3*f**4 + 8355*f**3 + 75438*f**2 = 0. Calculate f.
-9, 0, 2794
Factor -5*y**3 - 2010*y**2 + 4035*y - 2020.
-5*(y - 1)**2*(y + 404)
Find s, given that -5*s**2 - 1277820*s - 81641197620 = 0.
-127782
Factor 5*c**2 + 6645*c + 13270.
5*(c + 2)*(c + 1327)
Solve -5*y**3 - 9155*y**2 - 81940*y + 91100 = 0.
-1822, -10, 1
Suppose 12*r**4 + 3423*r**3 - 245781*r**2 - 92078103*r - 23004111 = 0. What is r?
-221, -1/4, 157
Factor 2*o**2 + 2398*o - 19312.
2*(o - 8)*(o + 1207)
Factor 2*b**3/3 + 93754*b**2/3.
2*b**2*(b + 46877)/3
Factor -5*r**3 + 230*r**2 - 1985*r - 8160.
-5*(r - 32)*(r - 17)*(r + 3)
Determine f, given that 2*f**5/7 - 668*f**4/7 + 59018*f**3/7 - 541080*f**2/7 + 1312200*f/7 = 0.
0, 5, 162
Find x, given that -x**5/2 - 146*x**4 - 11480*x**3 - 117600*x**2 = 0.
-140, -12, 0
Find z, given that -12*z**3 + 1161*z**2/5 + 774*z/5 + 24 = 0.
-2/5, -1/4, 20
Determine z so that 45*z**5 - 5730*z**4 + 156140*z**3 + 1654760*z**2 + 4950400*z + 4624000 = 0.
-10/3, -2, 68
What is y in -2*y**2/11 - 3962*y/11 - 11868/11 = 0?
-1978, -3
Solve 2*u**4 + 574*u**3 - 2358*u**2 - 8694*u + 10476 = 0 for u.
-291, -3, 1, 6
Factor 4*a**2/3 - 51844*a/3 + 17280.
4*(a - 12960)*(a - 1)/3
Determine g, given that -g**4/5 - 139*g**3/5 + 3913*g**2/5 + 139*g/5 - 3912/5 = 0.
-163, -1, 1, 24
Suppose 4*q**2 - 8696*q + 8692 = 0. Calculate q.
1, 2173
Find y, given that y**5/6 + 1765*y**4/2 + 3503300*y**3/3 - 1175710*y**2 - 28015840*y/3 + 14023808 = 0.
-2648, -3, 2
Find t such that 264*t**2 - 215*t - 49 = 0.
-49/264, 1
Find m such that -96*m**5 + 2860*m**4 + 2956*m**3 = 0.
-1, 0, 739/24
Factor -20*p**2 - 19085*p - 4770.
-5*(p + 954)*(4*p + 1)
Find h such that -4*h**3/3 - 9840*h**2 + 177232*h/3 - 78784 = 0.
-7386, 2, 4
Factor 2*a**3 + 193398*a**2 - 2*a - 193398.
2*(a - 1)*(a + 1)*(a + 96699)
Solve -z**4/6 + 4915*z**3/6 + 19691*z**2/6 - 24589*z/2 - 14757 = 0 for z.
-6, -1, 3, 4919
Determine j so that 35*j**5 - 20780*j**4 + 479580*j**3 - 3709600*j**2 + 9114880*j + 2918400 = 0.
-2/7, 8, 570
Suppose 3*o**2 - 23187*o - 185688 = 0. What is o?
-8, 7737
Factor -d**3/6 - 1204*d**2 - 4815*d/2 - 3611/3.
-(d + 1)**2*(d + 7222)/6
Let 3*b**3/7 - 822*b**2/7 + 8751*b/7 - 18936/7 = 0. Calculate b.
3, 8, 263
Suppose -u**5/6 - 359*u**4/6 - 20627*u**3/3 - 248736*u**2 - 241920*u = 0. Calculate u.
-144, -70, -1, 0
Let 585*h**3 + 1449258*h**2 - 921828*h - 29736 = 0. Calculate h.
-2478, -2/65, 2/3
Determine z so that -3*z**2/7 - 9903*z/7 + 289710/7 = 0.
-3330, 29
Factor -3*j**4 + 137670*j**3 - 1579005984*j**2 - 9478992672*j.
-3*j*(j - 22948)**2*(j + 6)
Factor -2*k**3 - 3482*k**2/5 + 6994*k/5 - 3502/5.
-2*(k - 1)**2*(5*k + 1751)/5
Determine v so that -v**5/3 - 58*v**4 - 336*v**3 + 32*v**2/3 + 1792*v = 0.
-168, -4, 0, 2
Factor -j**3 + 24283*j**2 - 242755*j + 606825.
-(j - 24273)*(j - 5)**2
Suppose 3*t**5 + 21*t**4 + 54*t**3 + 60*t**2 + 24*t = 0. What is t?
-2, -1, 0
Factor -2*i**3/9 + 4076*i**2/9 - 858130*i/9 + 47821600/9.
-2*(i - 1808)*(i - 115)**2/9
Factor -t**2/3 - 42509*t/3 + 85022/3.
-(t - 2)*(t + 42511)/3
Solve -m**3/5 + 559*m**2/5 + 562*m/5 - 224 = 0.
-2, 1, 560
Solve -4*o**3 + 93276*o**2 - 466304*o + 559536 = 0.
2, 3, 23314
Factor v**4/8 - 33*v**3/4 + 585*v**2/8 - 175*v.
v*(v - 56)*(v - 5)**2/8
Determine v so that 3*v**4 - 261*v**3 - 579*v**2 + 3897*v + 9612 = 0.
-3, 4, 89
Factor 5*i**2/4 - 237335*i/4 + 415275.
5*(i - 47460)*(i - 7)/4
Let -14217*o**2 - 127938*o + 135 = 0. What is o?
-9, 5/4739
Let -2*m**2/9 + 38218*m/9 + 12740/3 = 0. What is m?
-1, 19110
Suppose 73725*i**3 + 10*i**2 - 73725*i - 10 = 0. Calculate i.
-1, -2/14745, 1
Let -z**3/2 - 843*z**2 + 5065*z/2 - 1689 = 0. Calculate z.
-1689, 1, 2
Determine z, given that z**4 - 480*z**3 - 4*z**2 + 1920*z = 0.
-2, 0, 2, 480
Suppose -15718563*d**2 - 178542*d - 507 = 0. What is d?
-13/2289
Factor 2*f**3/5 + 88*f**2/5 + 238*f/5 - 328/5.
2*(f - 1)*(f + 4)*(f + 41)/5
Find v such that 6125*v**4 - 2800*v**3 - 118330*v**2 + 27120*v + 574605 = 0.
-3, 113/35
Solve -3*v**3 - 2040*v**2 - 55356*v - 383376 = 0.
-652, -14
Find r, given that 2*r**5/7 - 200*r**4/7 + 1864*r**3/7 - 5836*r**2/7 + 6870*r/7 - 2700/7 = 0.
1, 3, 5, 90
Let -8300*q**5 - 8216*q**4 + 84*q**3 = 0. What is q?
-1, 0, 21/2075
Find p such that 3*p**5 - 126*p**4 + 1473*p**3 - 4950*p**2 = 0.
0, 6, 11, 25
Suppose -2*b**3/19 + 32*b**2/19 + 96*b/19 - 2304/19 = 0. What is b?
-8, 12
Suppose 4*v**4 + 2272*v**3 = 0. What is v?
-568, 0
Solve v**5 + 4*v**4 - 33*v**3 - 4*v**2 + 32*v = 0 for v.
-8, -1, 0, 1, 4
Let s**3/9 + 6251*s**2/9 + 1099515*s + 43920225 = 0. What is s?
-3105, -41
Find n, given that -1369*n**3/4 - 63973*n**2/2 - 920955*n - 7563150 = 0.
-1470/37, -14
Let -4*b**5 + 12320*b**4 - 306424*b**3 + 2826544*b**2 - 11382308*b + 16765840 = 0. What is b?
4, 7, 3055
Determine p so that -3*p**5/5 + 123*p**4/5 - 1533*p**3/5 + 1425*p**2 - 10128*p/5 + 4416/5 = 0.
1, 8, 23
Factor -2*o**2/7 + 194*o/7 - 4700/7.
-2*(o - 50)*(o - 47)/7
Let -59582*g**5 + 190278*g**4 + 1037136*g**3 - 205328*g**2 + 13344*g - 288 = 0. What is g?
-3, 2/31, 6
Factor 2*a**2 + 4486444*a + 2516022470642.
2*(a + 1121611)**2
Suppose -3*w**4/4 - 105*w**3 - 1491*w**2/4 + 37137*w/2 + 73710 = 0. What is w?
-135, -14, -4, 13
Let 3*l**2 + 1773*l + 5292 = 0. What is l?
-588, -3
Solve -3*n**4 - 57*n**3 + 621*n**2 + 12825*n + 12150 = 0 for n.
-18, -15, -1, 15
Factor -4*d**2 - 5136*d.
-4*d*(d + 1284)
Factor 3*r**2/2 - 2909*r + 8462281/6.
(3*r - 2909)**2/6
Solve -q**2/6 - 238259*q/3 - 56767351081/6 = 0 for q.
-238259
Let l**4/3 + 69*l**3 + 202*l**2/3 - 276*l - 824/3 = 0. What is l?
-206, -2, -1, 2
Determine b, given that -4*b**2 - 389712*b - 389708 = 0.
-97427, -1
Factor 3*r**5 - 288*r**4 - 300*r**3 + 858*r**2 + 1449*r + 582.
3*(r - 97)*(r - 2)*(r + 1)**3
Find s, given that s**5/3 + 13*s**4 - 136*s**3/3 - 140*s**2 = 0.
-42, -2, 0, 5
Factor -2*l**3/7 + 56*l**2 - 16640*l/7 - 259584/7.
-2*(l - 104)**2*(l + 12)/7
Solve 3*s**3 - 261*s**2 - 37800*s - 904932 = 0.
-42, 171
Let h**4 + 409*h**3 + 803*h**2 - 4489*h - 4884 = 0. Calculate h.
-407, -4, -1, 3
Suppose 2*j**2 - 413672*j = 0. What is j?
0, 206836
Find l, given that 2*l**2/5 + 102*l/5 - 1364/5 = 0.
-62, 11
Determine s, given that 4*s**3 + 47400*s**2 = 0.
-11850, 0
Factor 4*x**2 - 145480*x + 1322776900.
4*(x - 18185)**2
Factor 3*t**3/4 - 2499*t**2/4 - 7578*t - 22815.
3*(t - 845)*(t + 6)**2/4
Solve i**2 - 1681*i + 8380 = 0.
5, 1676
Solve -2*j**2 + 9996*j - 59904 = 0 for j.
6, 4992
Factor -4*a**4 + 4569952*a**3 - 1305278830144*a**2.
-4*a**2*(a - 571244)**2
What is j in -j**2 - 3280*j = 0?
-3280, 0
Factor 2*n**3/5 + 26*n**2/5 - 4538*n/5 + 902.
2*(n - 41)*(n - 1)*(n + 55)/5
Let 9*q**4/4 - 12935*q**3/4 + 4642581*q**2/4 + 3621603*q/4 - 516961/2 = 0. What is q?
-1, 2/9, 719
Solve 3*p**5/7 - 150*p**4/7 + 2301*p**3/7 - 11082*p**2/7 - 2304*p/7 + 11232/7 = 0.
-1, 1, 12, 26
Factor -32*d**2/7 + 123178*d - 161670/7.
-2*(d - 26945)*(16*d - 3)/7
Factor i**5 - 57*i**4 + 473*i**3 + 7605*i**2 + 26298*i + 28080.
(i - 40)*(i - 26)*(i + 3)**3
Determine i, given that -4*i**3 + 23*i**2 + 166*i + 40 = 0.
-4, -1/4, 10
Find f such that -8*f**5 - 997*f**4/2 + 1965*f**3 + 2317*f**2/2 - 1957*f - 660 = 0.
-66, -1, -5/16, 1, 4
Determine g so that 2*g**2/5 - 383758*g/5 + 1151256/5 = 0.
3, 191876
Determine m so that -3*m**3/2 - 21087*m**2/2 - 545220*m - 7074678 = 0.
-6977, -26
Solve 6*c**5/5 + 88*c**4/5 - 1282*c**3/5 + 924*c**2 - 6392*c/5 + 592 = 0 for c.
-74/3, 1, 2, 5
Solve -722*z**2/7 - 16601*z/7 + 115/7 = 0.
-23, 5/722
What is g in 6*g**5 + 235*g**4 - 970*g**3 + 825*g**2 + 340*g - 172 = 0?
-43, -1/2, 1/3, 2
Let -q**4/3 - 9260*q**3/3 - 27773*q**2/3 - 18514*q/3 = 0. Calculate q.
-9257, -2, -1, 0
Solve 3*m**5/4 + 15*m**4/2 - 1671*m**3/4 - 9765*m**2/2 + 5292*m = 0 for m.
-21, -14, 0, 1, 24
Factor z**2 - 14*z + 48.
(z - 8)*(z - 6)
Suppose -2*h**3/9 + 79400*h**2/9 - 788045000*h/9 = 0. Calculate h.
0, 19850
Determine a, given that -7*a**3/3 + 1976*a**2/3 + 145897*a/3 - 41846/3 = 0.
-61, 2/7, 343
What is g in g**2/2 + 682166*g + 232675225778 = 0?
-682166
Factor -111411*o**2 - 222824*o - 4.
-(o + 2)*(111411*o + 2)
Suppose 11040*k**4 + 68068*k**3 + 110312*k**2 + 16356*k - 144 = 0. Calculate k.
-3, 