lculate x.
-816, 0
Determine h, given that h**2 + 6280*h - 12564 = 0.
-6282, 2
Find h such that h**2 - 818*h + 817 = 0.
1, 817
Factor 2*c**2/5 - 206*c/5 - 8308/5.
2*(c - 134)*(c + 31)/5
Find r, given that 2*r**5/11 - 410*r**4/11 - 412*r**3/11 = 0.
-1, 0, 206
Solve -2*z**3/17 - 10*z**2 + 3232*z/17 = 0 for z.
-101, 0, 16
Suppose -1024*d**3 + 1948640*d**2 + 243583*d/4 + 1903/4 = 0. What is d?
-1/64, 1903
Factor -2*z**2/11 + 487648*z/11 - 29725071488/11.
-2*(z - 121912)**2/11
Suppose -f**3 + 32*f**2 + 803*f + 1470 = 0. What is f?
-15, -2, 49
Factor -3*k**3 - 3099*k**2 - 915768*k - 57292380.
-3*(k + 85)*(k + 474)**2
Solve 3*q**2/4 + 4401*q/2 - 26433/4 = 0 for q.
-2937, 3
Suppose -2*u**5 - 276*u**4 - 2966*u**3 + 7332*u**2 + 2968*u - 7056 = 0. Calculate u.
-126, -14, -1, 1, 2
Determine d so that 4*d**3 + 3036*d**2 + 577596*d + 574564 = 0.
-379, -1
Suppose -4*b**3 - 164*b**2 - 1304*b - 1984 = 0. Calculate b.
-31, -8, -2
Factor -5*y**2 + 1208150*y - 72981321125.
-5*(y - 120815)**2
Suppose -6*q**2/5 + 606*q/5 + 2088 = 0. What is q?
-15, 116
Find k such that 2*k**5/13 + 36*k**4/13 + 214*k**3/13 + 420*k**2/13 = 0.
-7, -6, -5, 0
Determine c, given that 2*c**5/15 - 32*c**4/5 + 226*c**3/3 - 1172*c**2/5 + 4016*c/15 - 512/5 = 0.
1, 2, 12, 32
Determine h, given that 2*h**4 - 2522*h**3 + 1020510*h**2 - 114670350*h - 7243533000 = 0.
-44, 435
Factor s**2 - 343*s + 3652.
(s - 332)*(s - 11)
Solve -2*s**5/15 + 4648*s**4/5 + 139576*s**3/15 + 148928*s**2/5 + 446848*s/15 = 0 for s.
-4, -2, 0, 6982
Determine z so that -7*z**4/3 + 66*z**3 - 595*z**2/3 + 168*z - 100/3 = 0.
2/7, 1, 2, 25
Factor -3*r**3/4 + 2175*r**2/2 - 1594131*r/4 + 3119046.
-3*(r - 721)**2*(r - 8)/4
Determine r so that -3*r**4 - 59283*r**3 - 118545*r**2 + 177831*r = 0.
-19759, -3, 0, 1
Determine k, given that -2*k**3/7 - 622*k**2/7 - 41910*k/7 + 1034550/7 = 0.
-165, 19
Determine f, given that -f**2/3 + 8833*f/3 + 67896 = 0.
-23, 8856
Determine x, given that x**3/2 - 10371*x**2 + 62212*x - 82944 = 0.
2, 4, 20736
Find h, given that h**5 + 96*h**4 + 2224*h**3 - 2418*h**2 - 2225*h + 2322 = 0.
-54, -43, -1, 1
Factor -5*q**4 + 34435*q**3 + 137820*q**2.
-5*q**2*(q - 6891)*(q + 4)
Factor 4*o**2/7 + 491000*o/7 + 981984/7.
4*(o + 2)*(o + 122748)/7
Factor -2*s**2/7 - 16792*s/7 + 33592/7.
-2*(s - 2)*(s + 8398)/7
Suppose -2*v**4 + 63936*v**3 - 510912572*v**2 - 1022016960*v - 511040450 = 0. Calculate v.
-1, 15985
Determine a so that -2*a**3/13 + 230*a**2/13 - 6800*a/13 + 60000/13 = 0.
20, 75
Factor -v**2/11 - 3420*v/11 - 6836/11.
-(v + 2)*(v + 3418)/11
Let 15*w**4 + 1730*w**3 + 37985*w**2 + 12470*w = 0. What is w?
-86, -29, -1/3, 0
Solve 3*x**5/5 - 7852*x**4/5 - 15239*x**3 + 31504*x**2/5 + 10508*x = 0.
-10, -2/3, 0, 1, 2627
Factor 5*q**4 + 365*q**3 + 6760*q**2 + 37840*q + 65280.
5*(q + 4)**2*(q + 17)*(q + 48)
Suppose -3*t**3/7 - 270129*t**2/7 - 868628739*t + 18243634761/7 = 0. What is t?
-45023, 3
Factor 2*t**2 + 32628*t + 32626.
2*(t + 1)*(t + 16313)
Find q such that 5*q**2 - 17625*q + 731430 = 0.
42, 3483
Factor -s**4 - 102*s**3 - 752*s**2.
-s**2*(s + 8)*(s + 94)
Factor -5*b**4 - 3795*b**3 + 3810*b**2 + 7600*b.
-5*b*(b - 2)*(b + 1)*(b + 760)
Suppose -30*g**4/7 + 268*g**3/7 + 642*g**2/7 + 432*g/7 + 88/7 = 0. What is g?
-1, -2/3, -2/5, 11
Factor 3*c**4 + 2409*c**3 - 2418*c**2 - 4824*c.
3*c*(c - 2)*(c + 1)*(c + 804)
Factor m**2/5 - 501*m/5 + 100.
(m - 500)*(m - 1)/5
Factor -k**3/4 + 1299*k**2/4.
-k**2*(k - 1299)/4
Solve -49*j**5/2 - 819*j**4/2 - 4271*j**3/2 - 6093*j**2/2 + 2160*j + 3456 = 0.
-48/7, -3, -1, 1
Factor 3*v**5/7 + 144*v**4/7 + 2496*v**3/7 + 18432*v**2/7 + 49152*v/7.
3*v*(v + 8)**2*(v + 16)**2/7
Factor 4*k**3 - 3524*k**2 - 53824*k + 57344.
4*(k - 896)*(k - 1)*(k + 16)
Factor -u**4/3 + 24*u**3 - 140*u**2/3.
-u**2*(u - 70)*(u - 2)/3
Factor -4*q**3 - 3360*q**2 + 119004*q + 122360.
-4*(q - 35)*(q + 1)*(q + 874)
Factor -t**2/3 + 3150*t - 7441875.
-(t - 4725)**2/3
Suppose 25*l**5/2 + 37*l**4 - 539*l**3 + 1184*l**2 - 1443*l/2 + 27 = 0. What is l?
-9, 1/25, 1, 2, 3
Solve x**2 - 66392*x + 1101974416 = 0 for x.
33196
Solve -b**3 - 36636*b**2 + 146557*b - 109920 = 0 for b.
-36640, 1, 3
What is b in -42*b**2 + 38972*b + 3712 = 0?
-2/21, 928
Determine u so that -5*u**4/2 + 55*u**3 + 1695*u**2/2 + 2070*u - 2970 = 0.
-6, 1, 33
Factor -2*q**4/9 + 47190*q**3 - 424708*q**2/9.
-2*q**2*(q - 212354)*(q - 1)/9
Factor -3*j**2/5 + 176574*j/5 - 2598198123/5.
-3*(j - 29429)**2/5
Factor -2*o**4/11 - 6520*o**3/11 - 634752*o**2 - 2341370912*o/11 + 123121135136/11.
-2*(o - 46)*(o + 1102)**3/11
Let 16*r**3 - 220*r**2 + 916*r - 1080 = 0. Calculate r.
2, 5, 27/4
Solve -q**4/5 - 32399*q**3/5 - 69977520*q**2 - 251872416000*q + 251942400000 = 0 for q.
-10800, 1
Factor a**2 - 8*a - 713.
(a - 31)*(a + 23)
Factor 5*l**2/4 - 1355*l - 184305/4.
5*(l - 1117)*(l + 33)/4
Factor -s**2 - 678*s - 677.
-(s + 1)*(s + 677)
Determine r so that -4*r**2 - 9060*r - 179600 = 0.
-2245, -20
Find l, given that 4*l**3 + 276*l**2 - 117880*l + 117600 = 0.
-210, 1, 140
Let -24*b**5 + 307*b**4 + 2153*b**3 + 1947*b**2 - 3573*b - 810 = 0. What is b?
-3, -5/24, 1, 18
Factor 3*k**2 + 718086*k + 42970625283.
3*(k + 119681)**2
Factor -v**2/8 + 10829*v/8 + 141453/2.
-(v - 10881)*(v + 52)/8
What is h in -147*h**4/10 - 35434*h**3/5 - 2181569*h**2/10 + 126398*h - 90698/5 = 0?
-449, -101/3, 2/7
Determine d so that -3*d**4/8 - 3105*d**3/4 + 81279*d**2/8 + 43743*d/4 = 0.
-2083, -1, 0, 14
Let -33124*y**2 + 5460*y - 225 = 0. Calculate y.
15/182
Factor -3*j**3 - 522*j**2 + 31827*j - 31302.
-3*(j - 47)*(j - 1)*(j + 222)
Factor -2*o**2/7 - 5312*o/7 - 10616/7.
-2*(o + 2)*(o + 2654)/7
Suppose s**3 + 1134*s**2 + 24441*s - 25576 = 0. Calculate s.
-1112, -23, 1
Factor -97969*t**3/7 + 116749*t**2/7 - 19680*t/7 + 900/7.
-(t - 1)*(313*t - 30)**2/7
Factor -3*l**2 - 22044*l + 686247.
-3*(l - 31)*(l + 7379)
Factor -j**3/3 + 342*j**2 - 341*j - 2050/3.
-(j - 1025)*(j - 2)*(j + 1)/3
Factor 3*s**3 + 2490*s**2 - 27669*s + 70644.
3*(s - 7)*(s - 4)*(s + 841)
Determine c so that -5*c**4 - 502*c**3 - 2611*c**2 - 4394*c - 2280 = 0.
-95, -12/5, -2, -1
Find q, given that 5*q**2 + 260840*q - 260845 = 0.
-52169, 1
Find i, given that -5*i**2 + 19650*i + 19655 = 0.
-1, 3931
Let -49*i**5/4 - 1491*i**4/4 - 15299*i**3/4 - 59941*i**2/4 - 19926*i - 8405 = 0. Calculate i.
-82/7, -5, -1
Find t, given that -412*t**2 + 1832*t - 736 = 0.
46/103, 4
Factor 2*b**2/3 + 85*b/6 - 2475/2.
(b + 55)*(4*b - 135)/6
Find c such that 5*c**4 - 5265*c**3 + 1345680*c**2 + 21386700*c = 0.
-15, 0, 534
Find w such that 3*w**2/5 - 9942*w/5 + 8236947/5 = 0.
1657
Factor -2*n**3/19 + 562*n**2/19 - 41888*n/19 + 332928/19.
-2*(n - 136)**2*(n - 9)/19
Suppose 3*l**2/7 + 5385*l/7 + 21492/7 = 0. What is l?
-1791, -4
Suppose -4*z**5 + 3932*z**4 - 979928*z**3 + 6691456*z**2 - 5715456*z = 0. Calculate z.
0, 1, 6, 488
Solve 2*m**3/7 + 7900*m**2/7 - 23718*m/7 = 0 for m.
-3953, 0, 3
Factor 2*k**2/3 - 3880*k/3 + 49426.
2*(k - 1901)*(k - 39)/3
Find t such that -2*t**2/9 - 34*t - 10504/9 = 0.
-101, -52
Factor 5*x**3/4 - 119455*x**2/4 + 178353780*x + 178383645.
5*(x - 11946)**2*(x + 1)/4
Solve 4*a**2 - 116144*a - 116148 = 0.
-1, 29037
What is z in 4*z**4/5 - 36*z**3 - 1688*z**2 - 14784*z - 65664/5 = 0?
-18, -12, -1, 76
Solve -3*k**3 + 77154*k**2 - 496138788*k + 991968984 = 0 for k.
2, 12858
Let 2*m**2 + 74076*m - 296336 = 0. Calculate m.
-37042, 4
Factor -o**3/3 + 38*o**2 + 2359*o/3 + 748.
-(o - 132)*(o + 1)*(o + 17)/3
Factor -p**2/3 - 433*p/3 + 16720.
-(p - 95)*(p + 528)/3
Suppose -2*u**4 - 564*u**3 - 4426*u**2 - 11544*u - 9864 = 0. What is u?
-274, -3, -2
Find v, given that v**5 + 110*v**4 + 3525*v**3 + 27500*v**2 + 62500*v = 0.
-50, -5, 0
Suppose 3*a**3/4 + 13695*a**2/4 - 20553*a/2 + 6852 = 0. What is a?
-4568, 1, 2
Factor 3*n**3 - 272271*n**2 + 2178024*n - 4355952.
3*(n - 90749)*(n - 4)**2
Find k such that -5*k**2 + 17755*k - 17750 = 0.
1, 3550
Factor -x**2 - 3835283*x/5 + 1534114/5.
-(x + 767057)*(5*x - 2)/5
Factor -9*i**3/4 - 1649*i**2/4 + 741*i + 185.
-(i - 2)*(i + 185)*(9*i + 2)/4
Find d such that 132*d**2 + 12806*d + 194 = 0.
-97, -1/66
Solve -4*b**3 - 664*b**2 - 1312*b = 0.
-164, -2, 0
Factor 4*x**3/5 + 164*x**2 - 548*x/5 - 5180244/5.
4*(x - 69)*(x + 137)**2/5
Suppose 4*g**3/7 - 540*g**2/7 + 17168*g/7 + 17712/7 = 0. What is g?
-1, 54, 82
Factor 8*a