**2 - 570*y - 65 = 0.
-13/10, -1/8
Let -1083*d**3/4 - 41686*d**2 + 17555*d/12 - 77/6 = 0. Calculate d.
-154, 1/57
Solve -f**5/2 + 55*f**4 - 2129*f**3/2 - 25588*f**2 - 42594*f + 69192 = 0.
-12, -3, 1, 62
Factor -5*a**2/4 + 3255*a/2 - 2118685/4.
-5*(a - 659)*(a - 643)/4
Factor d**2 + 299*d - 69762.
(d - 154)*(d + 453)
Factor -m**2/6 + 287*m/2 + 6125/3.
-(m - 875)*(m + 14)/6
Factor 3*z**2 - 1974*z + 131175.
3*(z - 583)*(z - 75)
Determine j, given that -2*j**3/13 - 26262*j**2/13 + 78800*j/13 - 52536/13 = 0.
-13134, 1, 2
Factor -y**5 + 39*y**4 + 135*y**3 - 383*y**2 + 210*y.
-y*(y - 42)*(y - 1)**2*(y + 5)
Factor 4*x**3 - 1614*x**2 - 27658*x - 26040.
2*(x - 420)*(x + 1)*(2*x + 31)
Factor -15*g**2/4 - 5553*g/4 - 13695/2.
-3*(g + 5)*(5*g + 1826)/4
What is a in -2*a**2/15 - 282*a/5 + 1204/3 = 0?
-430, 7
Factor -5*z**4/4 - 2265*z**3/4 + 20655*z**2/4 - 62235*z/4 + 31185/2.
-5*(z - 3)**3*(z + 462)/4
Factor -p**4 + 17*p**3 + 1477*p**2 + 16807*p + 53508.
-(p - 52)*(p + 7)**2*(p + 21)
What is x in x**2/9 - 1909*x/9 - 1912/3 = 0?
-3, 1912
Determine d, given that d**4 - 7294*d**3 + 13300608*d**2 + 7294*d - 13300609 = 0.
-1, 1, 3647
Suppose -3*r**2/4 + 5745*r/4 = 0. Calculate r.
0, 1915
Solve 5*w**3 + 2800*w**2 - 22640*w + 45440 = 0 for w.
-568, 4
Suppose -33*s**2 - 154615*s - 46850 = 0. Calculate s.
-4685, -10/33
Determine h, given that 5*h**3 - 3165*h**2 + 21910*h = 0.
0, 7, 626
Factor g**2/2 - 3549*g.
g*(g - 7098)/2
Solve -c**4/3 - 11*c**3/3 + 127*c**2/3 + 935*c/3 - 350 = 0.
-15, -7, 1, 10
Suppose 21*c**5/4 + 295*c**4/4 - 2107*c**3/4 - 2495*c**2/4 - 57*c/2 = 0. What is c?
-19, -1, -1/21, 0, 6
Factor 2*g**3 + 2000*g**2 + 491904*g - 4064256.
2*(g - 8)*(g + 504)**2
Determine h, given that 2*h**5 - 14174*h**4 = 0.
0, 7087
Find g, given that g**2 + 963*g - 44308 = 0.
-1007, 44
Factor 7*k**2/8 + 417*k/4 - 2555.
(k + 140)*(7*k - 146)/8
Solve -7375*b**3 + 162245*b**2 - 892265*b - 605 = 0.
-1/1475, 11
Find x such that -3*x**5 - 2079*x**4 + 12546*x**3 - 25134*x**2 + 20961*x - 6291 = 0.
-699, 1, 3
Find z such that 3*z**4/4 + 365*z**3 + 5325*z**2/4 + 1450*z + 483 = 0.
-483, -2, -1, -2/3
Determine q so that -4*q**2/9 + 2300*q/9 - 61264/9 = 0.
28, 547
Factor q**4/4 - 10631*q**3/4.
q**3*(q - 10631)/4
Solve -13*o**4/5 + 893*o**3/5 - 1479*o**2/5 + 331*o/5 + 268/5 = 0.
-4/13, 1, 67
Solve -c**2 - 50631*c - 151884 = 0 for c.
-50628, -3
Determine n so that 3*n**3 - 549*n**2 + 2157*n - 1611 = 0.
1, 3, 179
Suppose -7*w**5/5 + 202101*w**4/10 + 49087*w**3/2 - 17323*w**2/2 - 101061*w/10 + 14437/5 = 0. What is w?
-1, 2/7, 1/2, 14437
Suppose -2*c**4/13 - 1840*c**3/13 - 1836*c**2/13 + 1840*c/13 + 1838/13 = 0. Calculate c.
-919, -1, 1
What is v in -3*v**2 + 9285*v - 27828 = 0?
3, 3092
Factor -3*q**2/4 - 735*q/4 + 6681/2.
-3*(q - 17)*(q + 262)/4
Factor m**4/5 - 24*m**3/5 - 351*m**2/5 + 374*m/5.
m*(m - 34)*(m - 1)*(m + 11)/5
Suppose m**4/4 + 7591*m**3/2 - 182616*m**2 + 2193120*m = 0. What is m?
-15230, 0, 24
Determine g, given that -3*g**5/7 + 237*g**4/7 - 1935*g**3/7 + 453*g**2 - 210*g = 0.
0, 1, 7, 70
Suppose -2*y**3/15 - 2384*y**2/15 + 14366*y/15 - 2396/3 = 0. What is y?
-1198, 1, 5
Factor -2*g**3/9 + 1736*g**2/9 - 246842*g/9 + 1074684.
-2*(g - 702)*(g - 83)**2/9
Suppose -q**2/2 + 2425*q/2 + 26917 = 0. Calculate q.
-22, 2447
Solve 2*f**2 - 1288*f + 149568 = 0.
152, 492
Suppose 3*p**2/5 - 129*p - 18798/5 = 0. What is p?
-26, 241
Find j such that -5*j**3/3 - 6550*j**2/3 - 83965*j/3 + 440980/3 = 0.
-1297, -17, 4
Suppose -x**2/9 + 2810*x/9 + 5624/9 = 0. Calculate x.
-2, 2812
Let 6*t**3 + 4863*t**2 + 986580*t + 492075 = 0. Calculate t.
-405, -1/2
Find x, given that 5*x**4 + 311280*x**3 + 622505*x**2 - 2178870*x + 1245080 = 0.
-62254, -4, 1
Suppose -z**5 + 532*z**4 - 73849*z**3 + 815858*z**2 - 596960*z - 1487200 = 0. What is z?
-1, 2, 11, 260
Determine y, given that -5*y**2/7 + 519*y/7 + 16614 = 0.
-546/5, 213
Suppose 18*p**5 + 2870*p**4 + 19812*p**3 - 85504*p**2 - 151104*p - 48640 = 0. What is p?
-152, -10, -1, -4/9, 4
Factor -n**3/3 - 1249*n**2 + 5000*n - 15004/3.
-(n - 2)**2*(n + 3751)/3
Let -2*b**5 + 50*b**4 + 114*b**3 - 154*b**2 - 224*b + 216 = 0. What is b?
-2, 1, 27
Determine h so that 5*h**2 + 126680*h - 126685 = 0.
-25337, 1
Suppose 12*p**5/7 + 970*p**4/7 + 606*p**3 - 12506*p**2/7 + 8346*p/7 - 152 = 0. What is p?
-76, -7, 1/6, 1
Factor -4*l**3 + 3620*l**2 - 1046892*l + 94346604.
-4*(l - 363)**2*(l - 179)
Solve -4*w**5 + 57*w**4 + 258*w**3 + 220*w**2 - 72*w = 0 for w.
-2, 0, 1/4, 18
Factor -2*f**2 - 21336*f.
-2*f*(f + 10668)
Solve -h**2/5 - 239*h/5 - 1560 = 0 for h.
-200, -39
Determine v, given that 2*v**5 + 286*v**4 + 3808*v**3 - 4096*v**2 = 0.
-128, -16, 0, 1
Factor -w**2/2 - 1056*w + 2113/2.
-(w - 1)*(w + 2113)/2
Factor 16*w**4 + 1639796*w**3 + 409948*w**2.
4*w**2*(w + 102487)*(4*w + 1)
Solve 3*d**4/5 - 8574*d**3/5 + 6126123*d**2/5 = 0.
0, 1429
Determine r, given that 2*r**3/3 + 9236*r**2/3 - 9242*r/3 - 18476/3 = 0.
-4619, -1, 2
Let -2*g**2 + 44*g + 5166 = 0. What is g?
-41, 63
Let -221841*h**3 - 6437157*h**2 - 109288*h - 464 = 0. What is h?
-29, -4/471
Factor 5*g**4 + 5990*g**3 - 145680*g**2 + 1170560*g - 3128320.
5*(g - 8)**3*(g + 1222)
Factor 3*o**3/2 + 2145*o**2/2 - 12018*o - 28314.
3*(o - 13)*(o + 2)*(o + 726)/2
Find l such that 5*l**2 + 2833110*l + 401325613605 = 0.
-283311
Factor -2*a**4/5 + 146*a**3/5 - 286*a**2/5 + 142*a/5.
-2*a*(a - 71)*(a - 1)**2/5
Suppose 3*m**2 + 61806*m + 318331803 = 0. Calculate m.
-10301
Determine k so that -3*k**4/5 + 60*k**3 - 2859*k**2/5 - 6942*k/5 = 0.
-2, 0, 13, 89
Factor -5*s**3 - 65*s**2 + 3840*s - 10800.
-5*(s - 20)*(s - 3)*(s + 36)
Factor 8*v**2/3 + 100*v + 396.
4*(v + 33)*(2*v + 9)/3
Determine m, given that -2*m**3/5 - 148*m**2/5 - 2592*m/5 - 4608/5 = 0.
-48, -24, -2
Suppose -5*i**5/2 + 225*i**4/2 - 1365*i**3 + 3605*i**2 + 23535*i/2 + 13365/2 = 0. What is i?
-1, 9, 11, 27
Factor s**3/5 - 343*s**2/5 + 3024*s/5 - 6012/5.
(s - 334)*(s - 6)*(s - 3)/5
Determine t so that t**5/5 + t**4 - 4649*t**3/5 + 140663*t**2/5 - 910112*t/5 - 1055428/5 = 0.
-83, -1, 11, 34
Factor 2*n**2 - 1294*n + 48560.
2*(n - 607)*(n - 40)
Solve 3*b**4 + 3710*b**3 + 3444733*b**2/3 + 764260*b + 127308 = 0.
-618, -1/3
Determine z, given that 4*z**2/9 - 1600 = 0.
-60, 60
Factor -l**3/7 + l**2/7 + 8*l + 144/7.
-(l - 9)*(l + 4)**2/7
Let 48*l**5 - 22680*l**4 + 2774019*l**3 - 22497201*l**2 + 62672016*l - 58614336 = 0. Calculate l.
11/4, 3, 232
Find a, given that 2*a**2/9 - 2039576*a/9 + 519983782472/9 = 0.
509894
Determine c, given that 36*c**2/7 + 496700*c/7 + 15768 = 0.
-13797, -2/9
Factor -3*g**2/5 + 245946*g - 25203931215.
-3*(g - 204955)**2/5
Find o such that o**4 - 43725*o**3 + 43724*o**2 = 0.
0, 1, 43724
Determine m so that 4*m**4/3 + 1189*m**3/3 + 1481*m**2/3 + 296*m/3 = 0.
-296, -1, -1/4, 0
Find r such that 4*r**2 + 21480*r + 28836900 = 0.
-2685
Determine m, given that 9*m**5/4 - 1137*m**4/4 + 3933*m**3/2 - 681*m**2/2 - 7875*m/4 + 2499/4 = 0.
-1, 1/3, 1, 7, 119
Factor -2*m**2/13 + 105498*m/13 - 105496/13.
-2*(m - 52748)*(m - 1)/13
Let 2*q**4/5 - 136*q**3/5 + 2022*q**2/5 - 1528*q - 1960 = 0. What is q?
-1, 10, 49
Factor -2*k**2/13 + 40552*k/13 - 205558088/13.
-2*(k - 10138)**2/13
Factor -4*o**3 - 4696*o**2 - 236080*o - 3033888.
-4*(o + 26)**2*(o + 1122)
Find z, given that -2*z**5/13 - 56*z**4/13 - 228*z**3/13 + 2296*z**2/13 + 190*z = 0.
-19, -13, -1, 0, 5
Factor 3*f**3 - 114663*f**2 - 344010*f - 229344.
3*(f - 38224)*(f + 1)*(f + 2)
Find m such that 2*m**2/3 - 1808*m/3 - 12754/3 = 0.
-7, 911
Determine z, given that 2*z**3 + 1060*z**2 - 23066*z + 41876 = 0.
-551, 2, 19
Factor 3*u**2/2 + 957*u/8 + 17595/8.
3*(u + 51)*(4*u + 115)/8
Factor -2*i**2/9 - 36040*i - 1461241800.
-2*(i + 81090)**2/9
Let 2*t**3 + 64*t**2 - 4430*t - 9100 = 0. What is t?
-65, -2, 35
Factor -2*b**2/5 + 1722652*b/5 - 370941239138/5.
-2*(b - 430663)**2/5
Solve -5*y**5 - 20340*y**4 - 1108705*y**3 - 20620710*y**2 - 136551420*y - 117019080 = 0.
-4013, -18, -1
Factor 2*i**2/5 - 7996*i/5 - 3200.
2*(i - 4000)*(i + 2)/5
Factor 5*p**3 + 3010*p**2 - 272035*p + 5749020.
5*(p - 41)**2*(p + 684)
Factor -2*w**3 + 214*w**2 - 1158*w - 5454.
-2*(w - 101)*(w - 9)*(w + 3)
Find f, given that 245*f**5 - 45955*f**4 + 1304120*f**3 - 10455580*f**2 + 5659520*f - 793600 = 0.
2/7, 16, 155
Factor -2*h**2 - 1776*h - 394272.
-2*(