
-7422, 2
Solve -r**5 - 452*r**4 - 43137*r**3 + 1844554*r**2 - 3557884*r + 1756920 = 0 for r.
-242, 1, 30
Solve 2*f**2 - 202030*f - 404068 = 0.
-2, 101017
Factor 5*g**2 - 23085*g + 253330.
5*(g - 4606)*(g - 11)
Determine z so that 2*z**3/9 + 13792*z**2/9 - 41390*z/9 + 27596/9 = 0.
-6899, 1, 2
Solve -o**4 + 1090*o**3 + 19839*o**2 + 116144*o + 217168 = 0 for o.
-7, -4, 1108
Let 458329*k**4 + 1832639*k**3 - 9177411*k**2/4 + 3386*k - 5/4 = 0. Calculate k.
-5, 1/1354, 1
Find p, given that -p**4/2 + 225*p**3/2 - 5449*p**2 + 10452*p = 0.
0, 2, 67, 156
Determine r so that 2*r**2 + 43468*r + 236183378 = 0.
-10867
Factor a**3 - 520*a**2 - a + 520.
(a - 520)*(a - 1)*(a + 1)
Determine f, given that f**5 - 30*f**4 - 3651*f**3 - 7208*f**2 - 3588*f = 0.
-46, -1, 0, 78
Solve -4*k**2 - 578848*k - 20941562944 = 0 for k.
-72356
Factor 5*a**3 + 6700*a**2 + 92820*a.
5*a*(a + 14)*(a + 1326)
Factor l**2/9 + 142*l/3 + 8120/9.
(l + 20)*(l + 406)/9
Factor 5*j**3 - 17220*j**2 + 14809185*j + 29687290.
5*(j - 1723)**2*(j + 2)
Factor x**5 + 12*x**4 + 17*x**3 - 146*x**2 - 84*x + 392.
(x - 2)**2*(x + 2)*(x + 7)**2
Solve -a**4 + 236*a**3 - 18235*a**2 + 463500*a - 445500 = 0 for a.
1, 55, 90
Factor -16*r**5 + 364*r**4 - 2200*r**3 + 1452*r**2.
-4*r**2*(r - 11)**2*(4*r - 3)
Factor n**2 + 611078*n + 93354080521.
(n + 305539)**2
Factor -2*l**2/19 + 1952*l/19 - 30720/19.
-2*(l - 960)*(l - 16)/19
Let -2*m**2 + 302*m - 1176 = 0. What is m?
4, 147
Find w such that 660*w**5 - 24093*w**4 - 134277*w**3 - 53226*w**2 + 221880*w - 10944 = 0.
-4, -2, 1/20, 1, 456/11
Solve 5*f**5 - 38980*f**4 + 75541530*f**3 + 1680010020*f**2 + 1604429505*f = 0.
-21, -1, 0, 3909
Find r, given that -r**2/6 + 55916*r - 4689898584 = 0.
167748
Solve -w**4/4 - 41*w**3 + 1197*w**2/4 = 0 for w.
-171, 0, 7
Let 2*j**5/7 - 134*j**4/7 + 1562*j**3/7 + 3534*j**2/7 + 1836*j/7 = 0. Calculate j.
-1, 0, 18, 51
Determine d, given that -3*d**3 - 73254*d**2 - 447252288*d - 894211584 = 0.
-12208, -2
Determine w so that w**5/4 + 761*w**4/4 + 100165*w**3/2 + 10725449*w**2/2 + 890032485*w/4 + 8363981925/4 = 0.
-285, -89, -13
Factor 2*l**3 + 206*l**2 - 1322*l - 1526.
2*(l - 7)*(l + 1)*(l + 109)
Factor -l**2/6 + 1915*l/3 + 1277/2.
-(l - 3831)*(l + 1)/6
Suppose x**5 - 228*x**4 - 1899*x**3 + 2578*x**2 + 4248*x = 0. What is x?
-9, -1, 0, 2, 236
Factor -n**4 + 3710*n**3 - 3444733*n**2 + 6878340*n - 3437316.
-(n - 1854)**2*(n - 1)**2
Solve 4*y**5/3 + 272*y**4 - 9628*y**3/3 - 36136*y**2/3 - 1072*y + 48160/3 = 0 for y.
-215, -2, 1, 14
Factor q**3/4 - 629*q**2/4 + 3997*q/2 + 2156.
(q - 616)*(q - 14)*(q + 1)/4
Factor -j**3/5 - 613*j**2 - 72959*j/5 + 15205.
-(j - 1)*(j + 25)*(j + 3041)/5
What is l in l**3/10 + 27*l**2 - 580*l = 0?
-290, 0, 20
Factor a**2/3 + 11600*a + 69596/3.
(a + 2)*(a + 34798)/3
Determine t, given that 15*t**4 + 3725*t**3 + 114715*t**2 + 965515*t + 309230 = 0.
-214, -17, -1/3
Factor x**2 + 147*x + 5292.
(x + 63)*(x + 84)
Find w, given that -w**3/5 - 10429*w**2/5 + 271661*w/5 - 353379 = 0.
-10455, 13
Factor 2*d**3/3 + 1940*d**2/3 - 8*d/3 - 7760/3.
2*(d - 2)*(d + 2)*(d + 970)/3
Solve 3*n**5/2 - 201*n**4/2 + 2373*n**3/2 - 7791*n**2/2 = 0 for n.
0, 7, 53
What is a in -4*a**2/7 + 18184*a/7 - 20666116/7 = 0?
2273
Factor 2*u**2 + 4668*u + 4666.
2*(u + 1)*(u + 2333)
Factor -2*r**2/3 + 5024*r/3 + 13440.
-2*(r - 2520)*(r + 8)/3
Factor 2*m**3/15 + 10918*m**2/15 + 14685158*m/15 - 196482026/5.
2*(m - 39)*(m + 2749)**2/15
Find d, given that 2*d**3 - 296*d**2 + 294*d = 0.
0, 1, 147
Suppose -x**3/2 + 534*x**2 - 142578*x = 0. Calculate x.
0, 534
Factor 5*q**2 + 8815*q - 35340.
5*(q - 4)*(q + 1767)
Factor f**3/2 + 829*f**2/2 - 34928*f - 62207360.
(f - 355)*(f + 592)**2/2
Find q, given that q**4/4 - 43*q**3 - 879*q**2/4 - 531*q/2 = 0.
-3, -2, 0, 177
Solve 100*b**4 + 82820*b**3 + 17230501*b**2 + 34212942*b + 17065161 = 0.
-4131/10, -1
Factor 2121*g**2 - 12721*g - 30.
(g - 6)*(2121*g + 5)
Solve n**5/6 + 167*n**4 + 2999*n**3/6 + 333*n**2 = 0 for n.
-999, -2, -1, 0
Factor 3250*i**2 - 315*i.
5*i*(650*i - 63)
Find i such that -2*i**3 + 158*i**2 - 3120*i = 0.
0, 39, 40
Factor 3*r**3 - 3582*r**2 - 14391*r + 17970.
3*(r - 1198)*(r - 1)*(r + 5)
Suppose -6*a**5/7 - 7188*a**4/7 - 21528*a**3/7 - 21516*a**2/7 - 7170*a/7 = 0. Calculate a.
-1195, -1, 0
Let -p**4/3 + 2*p**3 + 35*p**2/3 + 16*p + 20/3 = 0. Calculate p.
-2, -1, 10
Factor -3*a**2 - 615702*a - 31590746067.
-3*(a + 102617)**2
Determine o so that 5*o**2/7 - 13976*o/7 - 9600 = 0.
-24/5, 2800
Determine a so that 5*a**4 + 50*a**3 - 735*a**2 - 4680*a + 32400 = 0.
-12, 5, 9
Let -r**5 + 18*r**4 - 27*r**3 - 590*r**2 + 600*r = 0. What is r?
-5, 0, 1, 10, 12
What is o in o**4/3 - 23*o**3/3 - 92*o**2/3 + 764*o + 1584 = 0?
-9, -2, 12, 22
Factor 2*t**2 - 5497772*t + 3778187120498.
2*(t - 1374443)**2
Factor g**2/6 + 455*g/6 + 375.
(g + 5)*(g + 450)/6
Find a such that -3*a**3 - 1980*a**2 - 278784*a + 16355328 = 0.
-352, 44
Find n such that 5*n**3 + 380*n**2 + 4995*n + 11700 = 0.
-60, -13, -3
Factor -3*p**2/2 + 729*p/2 - 13818.
-3*(p - 196)*(p - 47)/2
Let 21*h**5/4 + 4743*h**4/2 + 22143*h**3/2 + 3636*h**2 - 92475*h/4 + 12069/2 = 0. Calculate h.
-447, -3, 2/7, 1
Solve -972*w**5 - 11736*w**4 - 52168*w**3/3 + 27920*w**2 + 6412*w/3 + 40 = 0 for w.
-10, -3, -1/27, 1
Factor -4*s**3 + 52064*s**2 - 104116*s + 52056.
-4*(s - 13014)*(s - 1)**2
Suppose 5*y**2 + 59435*y + 237660 = 0. What is y?
-11883, -4
Factor 2*b**2/9 + 1648*b/9 - 18370/9.
2*(b - 11)*(b + 835)/9
Factor -5*h**3 - 2765*h**2 - 43280*h - 171840.
-5*(h + 8)**2*(h + 537)
Determine b, given that b**4/4 - 69*b**3/4 - 315*b**2/2 + 3537*b - 12150 = 0.
-18, 6, 75
Factor h**3/2 + 51*h**2/2 - 3416*h.
h*(h - 61)*(h + 112)/2
Factor -3*z**3/5 - 4395*z**2 - 40120584*z/5 + 443989392/5.
-3*(z - 11)*(z + 3668)**2/5
Factor 15*z**3 - 5649*z**2 - 7938*z.
3*z*(z - 378)*(5*z + 7)
Solve -2*f**3/5 - 284*f**2/5 + 1886*f/5 + 3256 = 0.
-148, -5, 11
Suppose 2*h**5/13 - 16*h**4/13 - 2*h**3 + 64*h**2/13 + 72*h/13 = 0. Calculate h.
-2, -1, 0, 2, 9
Let 2*f**2/9 + 134*f/3 - 3060 = 0. What is f?
-255, 54
Factor -b**2/2 + 2458*b + 113597/2.
-(b - 4939)*(b + 23)/2
Factor 2*r**2/15 + 1602584*r/15 + 321034434632/15.
2*(r + 400646)**2/15
What is b in -5*b**2 + 610*b + 158115 = 0?
-127, 249
Let -2*r**3/5 - 498*r**2/5 + 4842*r - 68094/5 = 0. What is r?
-291, 3, 39
Factor g**3 + 24*g**2 + 89*g - 510.
(g - 3)*(g + 10)*(g + 17)
Factor p**2/3 + 172*p - 27685/3.
(p - 49)*(p + 565)/3
Let h**2/3 - 2677*h/3 - 94486 = 0. Calculate h.
-102, 2779
Factor -2*l**4 + 118364*l**3 - 1751372922*l**2 + 3502390760*l - 1751136200.
-2*(l - 29590)**2*(l - 1)**2
What is w in 60*w**3 - 743384*w**2 + 2302483260*w + 614048400 = 0?
-4/15, 6195
Factor 2*i**4/7 + 411812*i**3/7 + 21199052226*i**2/7 + 42396869024*i/7 + 21198228608/7.
2*(i + 1)**2*(i + 102952)**2/7
Let -w**3 - 742*w**2 - 139840*w - 812544 = 0. Calculate w.
-368, -6
Factor -f**3/4 - 3185*f**2/2 - 6367*f - 6366.
-(f + 2)**2*(f + 6366)/4
Factor 7*m**3/2 - 1021*m**2/2 - 3238*m - 4560.
(m - 152)*(m + 4)*(7*m + 15)/2
Solve 3*f**4 + 4179*f**3 + 1453245*f**2 - 1457427*f = 0.
-697, 0, 1
Factor -6*s**4/7 - 5304*s**3/7 - 5298*s**2/7.
-6*s**2*(s + 1)*(s + 883)/7
Suppose -2*s**5 - 1502*s**4 - 287214*s**3 - 1959714*s**2 - 4164912*s - 2490912 = 0. Calculate s.
-372, -3, -1
Suppose 68*y**5 - 1032*y**4 + 3308*y**3 + 5976*y**2 - 9856*y + 1536 = 0. What is y?
-2, 3/17, 1, 8
Determine v, given that -105*v**3 - 2195*v**2 - 3780*v + 380 = 0.
-19, -2, 2/21
Let 2*g**4 - 316*g**3 + 3502*g**2 + 316*g - 3504 = 0. What is g?
-1, 1, 12, 146
Find p such that 2*p**3/7 + 1902*p**2/7 + 583440*p/7 + 8112808 = 0.
-374, -203
Solve -120*t**3 + 6665*t**2 + 3170*t - 5040 = 0.
-9/8, 2/3, 56
Find c such that -2255*c**5 - 180700*c**4 + 158675*c**3 + 25900*c**2 - 1620*c = 0.
-81, -2/11, 0, 2/41, 1
Factor -3*m**3 - 102576*m**2 + 1436505*m - 5028282.
-3*(m - 7)**2*(m + 34206)
Suppose 2*s**4 - 1884*s**3 + 5640*s**2 - 5636*s + 1878 = 0. Calculate s.
1, 939
What is l in -4*l**2 - 1283144*l - 102903657796 = 0?
-160393
Factor d**2 + 164072*d + 164071.
(d + 1)*(d + 164071)
Suppose -879138*k**2 + 24752*k - 1568/9 = 0. Calculate k.
28/1989
Factor 2*x**2 - 1456*x - 104808.
2*(x - 794)*(x + 66)
Determine y, given that -9*y**5 + 687*y**4 + 2607*y**3 + 2637*y**2 + 246*y - 480 = 0.
-2, -1, 1/3, 80
Let -33*w**4/7 - 295