**5 + 132*u**4 - 1240*u**3 + 2888*u**2 - 2604*u + 820 = 0.
-41, 1, 5
Determine k, given that -2*k**2/13 + 388*k/13 - 2256/13 = 0.
6, 188
Determine g, given that -3*g**3 + 14601*g**2 - 17670480*g - 232190400 = 0.
-13, 2440
Factor 3*w**2 - 7698*w + 53739.
3*(w - 2559)*(w - 7)
Let 2*b**2/11 + 2904882*b/11 + 264080 = 0. What is b?
-1452440, -1
Determine v so that 10*v**5/11 - 24726*v**4/11 + 113428*v**3/11 + 246888*v**2/11 - 217136*v/11 - 118464/11 = 0.
-2, -2/5, 1, 6, 2468
Suppose -2*s**2/15 + 1574*s/15 + 1576/15 = 0. What is s?
-1, 788
Factor 5*a**2 - 757120*a - 757125.
5*(a - 151425)*(a + 1)
What is i in 5*i**2 + 218590*i + 2389079405 = 0?
-21859
Factor a**5/6 - 2447*a**4/6 + 1555103*a**3/6 - 70442449*a**2/6.
a**2*(a - 1199)**2*(a - 49)/6
Determine k so that -4*k**4 - 108*k**3 - 900*k**2 - 2916*k - 3240 = 0.
-15, -6, -3
Determine u, given that u**4/6 - 8185*u**3/6 + 81749*u**2/6 + 8185*u/6 - 13625 = 0.
-1, 1, 10, 8175
Suppose n**4/3 + 442*n**3/3 + 431*n**2/3 - 4402*n/3 + 1176 = 0. Calculate n.
-441, -4, 1, 2
Factor m**4/2 - 119*m**3 - 240*m**2.
m**2*(m - 240)*(m + 2)/2
Solve -h**2/6 + 13144*h/3 = 0 for h.
0, 26288
Determine b, given that 288*b**5/11 - 1392*b**4/11 - 14638*b**3/11 - 2410*b**2/11 - 100*b/11 = 0.
-5, -1/12, 0, 10
Factor -a**2/6 - 20843*a/3 - 41684/3.
-(a + 2)*(a + 41684)/6
Solve -y**2 - 395*y + 389364 = 0 for y.
-852, 457
Solve -200*p**4 + 1412*p**3 - 3084*p**2 + 1980*p - 108 = 0.
3/50, 1, 3
Determine a so that 3*a**4/7 - 993*a**3 + 6945*a**2/7 + 993*a - 6948/7 = 0.
-1, 1, 2316
Factor 28*l**2 - 43264*l + 6180.
4*(l - 1545)*(7*l - 1)
Let 5*u**4 - 5*u**3 - 975*u**2 - 6055*u - 8330 = 0. What is u?
-7, -2, 17
Factor 3*h**4 + 14745*h**3 - 103362*h**2.
3*h**2*(h - 7)*(h + 4922)
Let -98*z**5/5 - 8568*z**4/5 + 22462*z**3/5 - 19548*z**2/5 + 6472*z/5 - 144 = 0. Calculate z.
-90, 2/7, 1
Solve -s**2/3 - 110251*s/3 + 441020/3 = 0.
-110255, 4
What is f in -2*f**2/9 + 1736*f/9 - 13760/9 = 0?
8, 860
Factor p**4 + 2560*p**3 - 5131*p**2 - 17938*p - 10248.
(p - 4)*(p + 1)**2*(p + 2562)
Factor -i**3/5 + 46*i**2/5 + 197*i/5 + 30.
-(i - 50)*(i + 1)*(i + 3)/5
Factor 45*z**3 - 220*z**2 - 6375*z - 6750.
5*(z - 15)*(z + 9)*(9*z + 10)
Let -c**2/4 + c/2 + 3843/4 = 0. What is c?
-61, 63
Factor 4*h**4 - 1724*h**3 - 24680*h**2 - 106512*h - 128160.
4*(h - 445)*(h + 2)*(h + 6)**2
Factor -2*u**3 - 16406*u**2 + 98490*u - 147762.
-2*(u - 3)**2*(u + 8209)
Suppose 5*u**2 + 395660*u + 7827341780 = 0. Calculate u.
-39566
Solve 3*w**2/4 + 258*w = 0.
-344, 0
Factor -2*o**3 + 18*o**2 + 1692*o + 9072.
-2*(o - 36)*(o + 6)*(o + 21)
Factor -j**3/7 + 37*j**2/7 - 135*j/7 + 99/7.
-(j - 33)*(j - 3)*(j - 1)/7
Solve -5*f**4 - 7465*f**3 + 97650*f**2 - 361260*f + 271080 = 0.
-1506, 1, 6
Factor -c**2/5 + 2881*c/5 + 8652/5.
-(c - 2884)*(c + 3)/5
Let -4*b**3/3 + 880*b**2 - 105984*b + 3566592 = 0. Calculate b.
72, 516
Factor p**4 - 7506*p**3 + 14077500*p**2 + 28185032*p.
p*(p - 3754)**2*(p + 2)
Factor 2*q**4/9 - 92314*q**3/9 + 473427220*q**2/3 - 7283204290936*q/9 - 7284624664912/9.
2*(q - 15386)**3*(q + 1)/9
Find j such that 63*j**5 - 153408*j**4 + 160536*j**3 + 262848*j**2 + 58416*j = 0.
-2/3, -2/7, 0, 2, 2434
Factor w**2/5 + 186*w/5 + 4928/5.
(w + 32)*(w + 154)/5
What is w in 2*w**4/9 - 6974*w**3/9 - 34904*w**2/9 - 55864*w/9 - 3104 = 0?
-2, -1, 3492
Factor -12*l**2 + 203*l/2 + 671/2.
-(l - 11)*(24*l + 61)/2
Let -140*n**2 + 536*n = 0. What is n?
0, 134/35
Solve w**2/5 - 130018*w/5 + 4226170081/5 = 0 for w.
65009
Find l such that 10*l**3/11 - 72*l**2/11 + 152*l/11 - 96/11 = 0.
6/5, 2, 4
Factor 3*w**3 - 129*w**2 + 861*w - 735.
3*(w - 35)*(w - 7)*(w - 1)
Find r, given that -r**4 - 17*r**3 - 42*r**2 = 0.
-14, -3, 0
Suppose 2*t**5/5 - 60*t**4 - 1244*t**3 - 6768*t**2 - 10046*t - 22308/5 = 0. Calculate t.
-11, -6, -1, 169
Factor b**3/2 - 109*b**2 + 3654*b + 269892.
(b - 126)**2*(b + 34)/2
Determine m so that -5*m**4/3 + 445*m**3 - 19875*m**2 + 115265*m/3 - 18990 = 0.
1, 54, 211
Factor -a**3 - 57*a**2 + 513*a - 455.
-(a - 7)*(a - 1)*(a + 65)
Find u, given that -169*u**4/5 - 161993*u**3/5 - 39218578*u**2/5 - 189819948*u/5 + 537812856/5 = 0.
-6198/13, -7, 2
Factor 4*x**2/3 - 83644*x/3 - 83648/3.
4*(x - 20912)*(x + 1)/3
Solve 2*r**4/3 - 194*r**3 + 310*r**2 + 64534*r/3 + 75140 = 0 for r.
-6, -5, 13, 289
Find s, given that 3*s**3/2 - 11525*s**2/2 + 11066881*s/2 + 3690241/2 = 0.
-1/3, 1921
Solve -2*r**4 + 1302*r**3 - 20448*r**2 + 81280*r = 0 for r.
0, 8, 635
Suppose 4*v**3 - 444*v**2 + 360*v + 8800 = 0. What is v?
-4, 5, 110
Suppose -5*k**5 + 1445*k**4 - 99135*k**3 - 773665*k**2 + 436600*k + 8214000 = 0. Calculate k.
-5, 3, 148
Find i, given that -2*i**3/7 + 2166*i**2/7 - 551430*i/7 + 41000850/7 = 0.
165, 753
Factor -5*h**3 - 850*h**2 - 10185*h + 114660.
-5*(h - 7)*(h + 21)*(h + 156)
Factor -2*s**3 - 1850*s**2 - 23736*s - 21888.
-2*(s + 1)*(s + 12)*(s + 912)
What is l in 16*l**5/9 + 3734*l**4/9 + 12374*l**3/9 - 10604*l**2/9 - 1840*l/3 = 0?
-230, -4, -3/8, 0, 1
Suppose -6*n**3/7 - 19080*n**2/7 + 95526*n/7 - 10920 = 0. What is n?
-3185, 1, 4
What is a in 3*a**4 - 114*a**3 - 11979*a**2 - 34830*a = 0?
-45, -3, 0, 86
Determine s so that -93*s**5 + 633*s**4 + 870*s**3 + 144*s**2 = 0.
-1, -6/31, 0, 8
Find f such that 10*f**3 + 6495*f**2 + 54525*f + 25640 = 0.
-641, -8, -1/2
What is b in 2*b**2 + 6438*b - 320264 = 0?
-3268, 49
Find s, given that 32768*s**5/5 - 96768*s**4/5 + 93714*s**3/5 - 28214*s**2/5 - 1482*s/5 - 18/5 = 0.
-3/128, 1
Let 125*a**5 - 4650*a**4 - 37655*a**3 + 10640*a**2 + 25380*a + 6160 = 0. Calculate a.
-7, -2/5, 1, 44
Find d, given that 2*d**3/3 + 15112*d**2 - 8*d/3 - 60448 = 0.
-22668, -2, 2
Find i, given that i**4 - 779*i**3 + 6945*i**2 - 11557*i + 5390 = 0.
1, 7, 770
Find j such that -j**5/2 + 38*j**4 + 11*j**3/2 - 409*j**2 - 680*j - 304 = 0.
-2, -1, 4, 76
Suppose 6*y**5 + 182*y**4 + 1482*y**3 + 2802*y**2 + 1856*y + 360 = 0. What is y?
-18, -10, -1, -1/3
Factor 4*c**2 + 782592*c + 38278139904.
4*(c + 97824)**2
Let -3*j**5/4 - 489*j**4/4 - 789*j**3 + 4647*j**2 - 5148*j = 0. Calculate j.
-156, -11, 0, 2
Determine h, given that 38*h**2/7 + 3540*h/7 + 558/7 = 0.
-93, -3/19
Let -4*x**3 - 756*x**2 - 1500*x - 748 = 0. Calculate x.
-187, -1
Factor t**3/2 - t**2/2 - 13*t - 12.
(t - 6)*(t + 1)*(t + 4)/2
Determine o so that -o**2/7 + 163*o/7 + 17538/7 = 0.
-74, 237
What is m in m**5/2 - 319*m**4/6 - 2977*m**3/6 - 507*m**2/2 + 1487*m/3 + 920/3 = 0?
-8, -1, -2/3, 1, 115
Factor 217*t**2/5 - 1432*t - 33/5.
(t - 33)*(217*t + 1)/5
Factor -9*f**2/2 - 15018*f - 12530018.
-(3*f + 5006)**2/2
Solve -3*f**2 - 9075*f - 18138 = 0.
-3023, -2
Factor 6*s**2 + 11649*s + 5823.
3*(s + 1941)*(2*s + 1)
Find m such that m**4 + 659447*m**3/7 - 847884*m**2/7 - 1130492*m/7 + 376832/7 = 0.
-94208, -1, 2/7, 2
Factor -2*w**2/9 + 3544*w/3.
-2*w*(w - 5316)/9
What is y in -2*y**4 - 1414*y**3 - 15280*y**2 + 22912*y + 445440 = 0?
-696, -8, 5
Suppose g**3 + 4316*g**2 + 4609125*g - 103500342 = 0. Calculate g.
-2169, 22
Factor i**3/2 - 51201*i**2/2 - 102408*i - 102410.
(i - 51205)*(i + 2)**2/2
Factor 3*o**2/2 + 53877*o/2 - 53883.
3*(o - 2)*(o + 17961)/2
Suppose -2*r**3 + 10674*r**2 - 14247120*r + 14236448 = 0. Calculate r.
1, 2668
Determine q, given that 16*q**3/3 + 56450*q**2/3 - 105904*q/3 - 14120/3 = 0.
-3530, -1/8, 2
Suppose -2*d**3/17 + 1746*d**2/17 - 365790*d/17 - 396050 = 0. Calculate d.
-17, 445
Suppose 3*u**5 + 39*u**4 - 108*u**3 - 876*u**2 + 960*u + 4032 = 0. Calculate u.
-14, -4, -2, 3, 4
Factor 185*b**3 - 198*b**2 + 3*b + 10.
(b - 1)*(5*b + 1)*(37*b - 10)
Factor 2*p**2/3 - 592*p/3 - 1192/3.
2*(p - 298)*(p + 2)/3
Factor b**2/8 + 320861*b + 205903562642.
(b + 1283444)**2/8
Factor n**2/4 + 2553*n - 30645/4.
(n - 3)*(n + 10215)/4
Let -2*h**2 - 1032*h + 3114 = 0. What is h?
-519, 3
Factor -2*w**3/23 + 14500*w**2/23 - 115904*w/23 + 231744/23.
-2*(w - 7242)*(w - 4)**2/23
Factor -u**4 - 49*u**3 + 443*u**2 - 735*u + 342.
-(u - 6)*(u - 1)**2*(u + 57)
Let -2*y**5/21 - 1000*y**4/21 - 28816*y**3/21 - 291860*y**2/21 - 367194*y/7 - 279180/7 = 0. What is y?
-470, -11, -9, -1
Factor -3*m**3/2 + 405*m**2/2 + 321372*m + 44972418.
-3*(m - 587)*(m + 226)**2/2
Find x such that -11*x**3 + 196615*x**2 + 178751*x - 17875 = 0.
-1, 1/11, 17875
Factor -2*w**2/7 - 173824*w - 26437935104.
-2*(w + 304192)**2/7
Find k, given that 2*k**4/9 + 122*k**3 +