, -2, -4/13
Let -2*k**4/11 + 36*k**3/11 + 760*k**2/11 + 1404*k/11 + 62 = 0. What is k?
-11, -1, 31
Determine o, given that o**5/2 + 11*o**4/2 - 60*o**3 + 68*o**2 + 232*o - 360 = 0.
-18, -2, 2, 5
Determine b so that -4*b**2 - 1436*b - 12600 = 0.
-350, -9
Find b, given that -167*b**2 - 484*b + 51 = 0.
-3, 17/167
Find l such that -128*l**4 + 1260*l**3 - 1848*l**2 - 320*l = 0.
-5/32, 0, 2, 8
Let l**2 + 1965*l + 1964 = 0. What is l?
-1964, -1
Factor -40*o**3 - 3196*o**2 - 2844*o.
-4*o*(o + 79)*(10*o + 9)
Let -3*z**5/2 + 321*z**4/2 + 1659*z**3/2 + 2343*z**2/2 + 504*z = 0. Calculate z.
-3, -1, 0, 112
Solve 2*v**2 - 2758*v + 248708 = 0.
97, 1282
Factor -5*u**3 - 1580*u**2 - 42220*u + 194480.
-5*(u - 4)*(u + 34)*(u + 286)
Find u such that 4*u**3 - 6308*u**2 + 31456*u - 25152 = 0.
1, 4, 1572
Let -41532498*p**3/11 - 36456*p**2/11 - 8*p/11 = 0. What is p?
-2/4557, 0
Let -3*s**3 - 222*s**2 - 2340*s - 6696 = 0. What is s?
-62, -6
Determine m, given that -m**3 - 3766*m**2 - 3556960*m - 21206400 = 0.
-1880, -6
Factor -2*b**3/7 - 2762*b**2/7 - 11024*b/7 - 11016/7.
-2*(b + 2)**2*(b + 1377)/7
Determine m so that 2*m**5 - 10182*m**4 + 13075526*m**3 - 295809066*m**2 + 552432272*m - 269688552 = 0.
1, 21, 2534
Suppose 2*u**3/11 - 350*u**2 - 193264*u/11 - 371112/11 = 0. Calculate u.
-47, -2, 1974
Find d such that -2*d**2/7 - 30*d - 3652/7 = 0.
-83, -22
Find n such that -3*n**5/7 - 23504*n**4/7 - 46044335*n**3/7 - 30685778*n**2/7 = 0.
-3917, -2/3, 0
Factor -5*v**2 - 9190*v + 111000.
-5*(v - 12)*(v + 1850)
Solve -l**2 - 1166976*l - 340458246144 = 0 for l.
-583488
Factor -z**3/9 + 1120*z**2/9 - 333797*z/9 + 11121878/9.
-(z - 541)**2*(z - 38)/9
Factor -2*m**2/9 - 8*m - 40.
-2*(m + 6)*(m + 30)/9
Determine y so that 4*y**3/7 + 1116*y**2/7 + 6572*y/7 + 780 = 0.
-273, -5, -1
Determine m, given that 25*m**5 + 230*m**4 + 420*m**3 - 550*m**2 - 125*m = 0.
-5, -1/5, 0, 1
Let 49*z**5/6 - 1864954*z**4/3 + 70985477497*z**3/6 - 91256994847*z**2/3 + 43454928902*z/3 - 5793949924/3 = 0. Calculate z.
2/7, 2, 38059
Factor i**2/6 - 302*i/3 + 15120.
(i - 324)*(i - 280)/6
Factor 3*a**3/5 + 1536*a**2/5 + 8811*a + 65070.
3*(a + 15)**2*(a + 482)/5
Factor -21*n**4/2 + 323*n**3/2 + 47*n**2.
-n**2*(3*n - 47)*(7*n + 2)/2
Let 6*w**3 + 3879*w**2 + 43779*w - 22860 = 0. What is w?
-635, -12, 1/2
Factor u**3/2 + 22*u**2 + 123*u/2.
u*(u + 3)*(u + 41)/2
Suppose -2*v**4/7 + 6960*v**3/7 - 6055198*v**2/7 - 6960*v/7 + 6055200/7 = 0. What is v?
-1, 1, 1740
Factor -4*t**2 + 768*t + 109060.
-4*(t - 287)*(t + 95)
Suppose 2*w**2/11 - 472*w/11 - 3904/11 = 0. What is w?
-8, 244
Find h such that h**2/4 + 145*h + 7800 = 0.
-520, -60
Find g such that -4*g**5 + 16460*g**4 - 16957864*g**3 + 50626912*g**2 + 101582848*g - 135268352 = 0.
-2, 1, 4, 2056
Suppose 2*b**5 - 17*b**4 - 7*b**3 + 128*b**2 - 44*b - 160 = 0. What is b?
-5/2, -1, 2, 8
Find z, given that 2*z**2/13 + 820*z/13 - 1648/13 = 0.
-412, 2
What is h in h**2/5 + 12244*h/5 + 24484/5 = 0?
-12242, -2
Factor 2*a**2/7 - 417808*a/7 + 21820440608/7.
2*(a - 104452)**2/7
Suppose -35*a**5 + 9720*a**4 - 35615*a**3 - 1590*a**2 + 60220*a + 16440 = 0. Calculate a.
-1, -2/7, 2, 3, 274
Let 2*o**5/19 + 54*o**4/19 + 436*o**3/19 + 960*o**2/19 + 576*o/19 = 0. Calculate o.
-12, -2, -1, 0
Factor -5*l**2/4 - 6345*l/4 - 18855.
-5*(l + 12)*(l + 1257)/4
Factor h**3/7 + 10*h**2/7 - 228*h/7 + 792/7.
(h - 6)**2*(h + 22)/7
Solve -2*w**3/5 - 222*w**2/5 + 2394*w + 285190 = 0.
-95, 79
What is l in 2*l**4/7 + 40758*l**3/7 + 29655810*l**2 - 623138886*l/7 = 0?
-10191, 0, 3
Factor 3*s**3 - 126*s**2 + 1707*s - 7344.
3*(s - 17)*(s - 16)*(s - 9)
Let 7*i**3/6 - 740*i**2 + 634*i/3 = 0. Calculate i.
0, 2/7, 634
Suppose -h**3/3 - 46*h**2/3 + 269*h/3 + 238 = 0. What is h?
-51, -2, 7
Factor 2*o**2/3 + 553640*o + 114943968600.
2*(o + 415230)**2/3
What is h in -14*h**4/3 - 610*h**3/3 - 582*h**2 - 1718*h/3 - 568/3 = 0?
-284/7, -1
Factor u**3/5 + 7*u**2/5 - 542*u/5 + 2784/5.
(u - 16)*(u - 6)*(u + 29)/5
Find l such that l**3/8 + 119*l**2 + 945*l/8 - 2853/4 = 0.
-951, -3, 2
Factor k**3 + 107048*k**2 - 214099*k + 107050.
(k - 1)**2*(k + 107050)
Suppose -2*q**3 + 76304*q**2 + 915864*q + 2747808 = 0. What is q?
-6, 38164
Solve -40*o**5 - 1277*o**4 - 3504*o**3 - 3250*o**2 - 896*o + 87 = 0.
-29, -1, 3/40
Factor -36*x**3 + 72506*x**2 - 36509792*x + 2028098.
-2*(x - 1007)**2*(18*x - 1)
Factor -2*s**3 + 11432*s**2 + 45754*s + 34320.
-2*(s - 5720)*(s + 1)*(s + 3)
Factor 3*f**3 - 123*f**2 + 690*f + 816.
3*(f - 34)*(f - 8)*(f + 1)
Factor 2*u**2/9 + 320*u/9 + 616/3.
2*(u + 6)*(u + 154)/9
Factor 3*s**4 + 84*s**3 - 225*s**2 - 17214*s - 60648.
3*(s - 14)*(s + 4)*(s + 19)**2
Factor 140*o**2 + 89195*o + 9555.
5*(o + 637)*(28*o + 3)
Determine a so that a**5/3 - 32*a**4 + 709*a**3/3 - 130*a**2 - 4400*a/3 = 0.
-2, 0, 5, 88
Factor -5*f**3 - 8770*f**2 - 4209920*f - 311500800.
-5*(f + 90)*(f + 832)**2
Factor 2*r**2/7 + 32546*r/7 - 65148.
2*(r - 14)*(r + 16287)/7
Let -5*j**4/4 + 27585*j**3 - 304317715*j**2/2 - 304400475*j - 608856125/4 = 0. Calculate j.
-1, 11035
Determine a, given that -2*a**5/19 - 21762*a**4/19 - 59404276*a**3/19 - 1120817156*a**2/19 + 59404278*a/19 + 58991522 = 0.
-5431, -19, -1, 1
Factor j**4/2 - 37*j**3/2 + 33*j**2 + 74*j - 140.
(j - 35)*(j - 2)**2*(j + 2)/2
Find q, given that q**5 - 46*q**4 - 746*q**3 - 1252*q**2 + 745*q + 1298 = 0.
-11, -2, -1, 1, 59
Suppose -3454*c**3/7 - 136*c**2/7 = 0. What is c?
-68/1727, 0
Find t such that 4*t**3 + 74924*t**2 + 149836*t + 74916 = 0.
-18729, -1
Find i such that -3*i**5 + 885*i**4 + 1818*i**3 - 10734*i**2 + 12489*i - 4455 = 0.
-5, 1, 297
Factor -q**3/2 + 31249*q**2/2 - 122070312*q + 122054688.
-(q - 15624)**2*(q - 1)/2
Determine h, given that 190*h**4 - 8935*h**3 + 17525*h**2 - 9005*h + 225 = 0.
1/38, 1, 45
Let -2*p**4 - 84*p**3 - 490*p**2 = 0. What is p?
-35, -7, 0
Determine s so that 3*s**3 - 378795*s**2 + 11957327064*s - 11956948272 = 0.
1, 63132
Let 157922*m**2/7 + 3372*m + 126 = 0. What is m?
-21/281
Factor -3*a**2 - 68616*a + 343155.
-3*(a - 5)*(a + 22877)
Suppose 2185*x**3/2 - 20445*x**2 - 42890*x + 4740 = 0. What is x?
-2, 2/19, 474/23
What is s in 4*s**2 + 4464*s - 8944 = 0?
-1118, 2
Find d such that 4*d**4 - 883080*d**3 + 48739392900*d**2 = 0.
0, 110385
Factor 2*l**3/7 + 106*l**2/7 - 580*l/7 - 35568/7.
2*(l - 18)*(l + 19)*(l + 52)/7
Let -2*t**5 - 26*t**4 + 32*t**3 + 56*t**2 = 0. What is t?
-14, -1, 0, 2
Let -d**3/6 + 54571*d**2/6 - 744416647*d/6 - 744580369/2 = 0. What is d?
-3, 27287
Find n, given that 5*n**3 + 3405*n**2 = 0.
-681, 0
Find a such that 2*a**3 - 122*a**2 + 340*a + 464 = 0.
-1, 4, 58
Suppose 12*a**4/5 + 454682*a**3/5 + 985104*a**2/5 + 121242*a + 75776/5 = 0. Calculate a.
-37888, -1, -1/6
Factor -4*t**3 - 1756*t**2 - 5240*t - 3488.
-4*(t + 1)*(t + 2)*(t + 436)
Solve 4*m**5 + 1644*m**4 + 184860*m**3 + 3194100*m**2 = 0 for m.
-195, -21, 0
Let m**5/2 + 45*m**4/2 + 483*m**3/2 - 529*m**2/2 = 0. Calculate m.
-23, 0, 1
Factor 5*o**2 + 3519010*o + 619171569005.
5*(o + 351901)**2
Find p such that -2*p**4 - 34*p**3 - 48*p**2 + 504*p = 0.
-14, -6, 0, 3
Solve 81*v**5/4 + 2492001*v**4/4 + 276886*v**3 + 30765*v**2 = 0 for v.
-30765, -2/9, 0
Find h, given that -23*h**3 + 28771*h**2 + 31298*h + 2504 = 0.
-1, -2/23, 1252
Factor -a**5 - 417*a**4 - 6480*a**3 - 25664*a**2.
-a**2*(a + 8)**2*(a + 401)
Factor 1008*h**2 + 2260*h - 552.
4*(9*h - 2)*(28*h + 69)
Factor -3*l**3/4 + 247*l**2/4 + 1339*l/2 - 230.
-(l - 92)*(l + 10)*(3*l - 1)/4
Solve 4*p**5/3 - 923*p**4/3 - 57527*p**3/3 - 838628*p**2/3 - 974012*p/3 - 191984/3 = 0.
-26, -1, -1/4, 284
Solve 50*j**3 + 445910*j**2 - 356752*j + 71352 = 0 for j.
-8919, 2/5
Let -13563045*x**4 + 108537300*x**3 - 95204855*x**2 + 230740*x - 140 = 0. What is x?
2/1647, 1, 7
What is y in -2*y**2/11 + 4390*y/11 - 8772/11 = 0?
2, 2193
Find v such that -4*v**2 - 15540*v = 0.
-3885, 0
Factor -s**3/9 - 5356*s**2/9 + 53635*s/9 - 134150/9.
-(s - 5)**2*(s + 5366)/9
Factor c**2 + 882*c - 883.
(c - 1)*(c + 883)
What is m in 2*m**3/7 + 145042*m**2/7 + 2630880144*m/7 + 44683055136/7 = 0?
-36252, -17
Determine h so that -h**5/4 + 19*h**4/4 + 99*h**3/2 + 235*h**2/2 + 427*h/4 + 135/4 = 0.
-5, -1, 27
Let -45*i**3 + 5213330*i**2 + 11585380*i + 2317080 = 0. What is i?
-2, -2/9, 115854
Determine s so that -45*s**4 + 1165*s**3 - 6630*s**2 - 7840*s = 0.
-1, 0, 98/