. Calculate m.
-7544, 34
Factor 4*g**2 - 11116*g - 122760.
4*(g - 2790)*(g + 11)
Solve -x**2/3 + 408218*x/3 - 41660483881/3 = 0 for x.
204109
Factor 3*b**4 + 495*b**3 + 981*b**2 + 489*b.
3*b*(b + 1)**2*(b + 163)
What is u in u**3/11 + 212*u**2/11 - 6019*u/11 + 40222/11 = 0?
-238, 13
Factor -5*s**3 + 525*s**2 - 17835*s + 193315.
-5*(s - 41)**2*(s - 23)
Suppose -4*g**3/3 - 136*g**2/3 + 18596*g + 56160 = 0. What is g?
-135, -3, 104
Solve 5*m**4 - 5*m**3 - 7490*m**2 + 123860*m - 217800 = 0 for m.
-45, 2, 22
Factor -3*q**2/7 - 9189660*q/7 - 7037487576300/7.
-3*(q + 1531610)**2/7
What is c in -2*c**2/5 - 438*c/5 + 45584/5 = 0?
-296, 77
Let -4*y**3 - 3240*y**2 - 639600*y + 6724000 = 0. Calculate y.
-410, 10
Factor 2*x**4/21 - 856*x**3/3 + 4511912*x**2/21 - 1705152*x + 23808384/7.
2*(x - 1494)**2*(x - 4)**2/21
Find g such that g**5/12 + g**4/2 - 9*g**3/4 - 53*g**2/3 - 27*g - 12 = 0.
-6, -4, -1, 6
Factor 3*u**3 - 1344*u**2 - 45312*u - 368640.
3*(u - 480)*(u + 16)**2
Factor 20*g**2 - 144808*g + 57920.
4*(g - 7240)*(5*g - 2)
Factor -x**4 - 139*x**3 + 5316*x**2 - 60624*x + 222912.
-(x - 12)**2*(x - 9)*(x + 172)
What is d in 2*d**2/11 + 459598*d/11 + 919188/11 = 0?
-229797, -2
Factor -3*n**2/8 - 6663*n/8 - 6639.
-3*(n + 8)*(n + 2213)/8
Suppose -2*y**2/5 - 282*y/5 - 556/5 = 0. Calculate y.
-139, -2
Factor c**4/6 - 97891*c**3/2 - 293677*c**2 - 1762070*c/3 - 391572.
(c - 293679)*(c + 2)**3/6
Let -3*g**2 - 4356*g + 455700 = 0. What is g?
-1550, 98
Factor d**3/4 + 9653*d**2/4 - 19322*d.
d*(d - 8)*(d + 9661)/4
Let 5*a**2 + 5820*a - 118400 = 0. What is a?
-1184, 20
Factor -2*s**3/15 - 616*s**2/15 + 4352*s/3.
-2*s*(s - 32)*(s + 340)/15
Solve 2*j**2/7 - 23922*j/7 - 287352/7 = 0 for j.
-12, 11973
Let -1306*y**4/7 - 33948*y**3/7 - 35792*y**2 - 374592*y/7 + 2304/7 = 0. What is y?
-12, -2, 4/653
Let n**3 - 610*n**2 - 5563*n - 4952 = 0. Calculate n.
-8, -1, 619
Determine g, given that 3*g**4 - 1842*g**3 + 73512*g**2 - 828672*g + 2855424 = 0.
8, 26, 572
Factor 29*x**3/3 + 52*x**2/3 - 87*x - 156.
(x - 3)*(x + 3)*(29*x + 52)/3
Factor -3*l**3/2 + 111*l**2 + 228*l.
-3*l*(l - 76)*(l + 2)/2
Find i such that -4*i**5 - 256*i**4 - 956*i**3 + 256*i**2 + 960*i = 0.
-60, -4, -1, 0, 1
Find l, given that l**5 - l**4 - 183*l**3 + 481*l**2 + 1502*l + 840 = 0.
-14, -1, 5, 12
Solve -3*q**5/2 - 31*q**4 - 193*q**3/2 - 45*q**2 + 106*q + 68 = 0 for q.
-17, -2, -2/3, 1
Find b such that -252*b**5 + 15112*b**4 - 13884*b**3 - 30192*b**2 - 944*b = 0.
-1, -2/63, 0, 2, 59
Factor o**3/2 - 275*o**2/2 + 19475*o/2 - 90625/2.
(o - 145)*(o - 125)*(o - 5)/2
Factor 2*x**2/13 + 8858*x/13 - 8860/13.
2*(x - 1)*(x + 4430)/13
What is d in -d**3/4 + 715*d**2/4 - 20904*d - 42525 = 0?
-2, 150, 567
Find r, given that r**2/3 + 304088*r/3 + 23117377936/3 = 0.
-152044
Factor -2*d**2 + 920*d - 1832.
-2*(d - 458)*(d - 2)
Factor -r**3/6 - 2425*r**2/3 + 9703*r/6 - 2426/3.
-(r - 1)**2*(r + 4852)/6
Factor -2*k**3 + 6028*k**2 + 30182*k + 24152.
-2*(k - 3019)*(k + 1)*(k + 4)
Solve -21*j**5 - 2340*j**4 + 3726*j**3 - 348*j**2 - 1017*j = 0.
-113, -3/7, 0, 1
Suppose 20*k**4 - 2405*k**3 + 520*k**2 + 9620*k - 2400 = 0. What is k?
-2, 1/4, 2, 120
Suppose -3*z**3 - 50541*z**2 - 212992353*z - 1063698615 = 0. Calculate z.
-8421, -5
Suppose 2*r**3/23 + 113824*r**2/23 + 682890*r/23 + 1024308/23 = 0. Calculate r.
-56906, -3
Find z, given that -5*z**5 + 1860*z**4 - 119300*z**3 + 115590*z**2 + 119305*z - 117450 = 0.
-1, 1, 81, 290
Factor -4*f**2 - 336*f + 18544.
-4*(f - 38)*(f + 122)
Factor -u**2/3 - 116*u - 4355/3.
-(u + 13)*(u + 335)/3
Factor 3*q**2 - 463638*q + 17913349587.
3*(q - 77273)**2
Suppose -82*u**2/3 - 33400*u + 4888/3 = 0. Calculate u.
-1222, 2/41
Factor 3*p**2 - 1268022*p + 133989982707.
3*(p - 211337)**2
Solve 4*p**3 + 580*p**2 + 9712*p + 17136 = 0.
-126, -17, -2
Determine q, given that -2*q**4/13 + 23500*q**3/13 - 69289066*q**2/13 + 1513498400*q/13 - 1444232832/13 = 0.
1, 21, 5864
Find r such that 3*r**2 + 145476*r + 1763605548 = 0.
-24246
Determine b so that 2*b**3/5 + 22084*b**2/5 + 61227026*b/5 + 1456755888/5 = 0.
-5509, -24
Find a such that 12*a**4 - 165*a**3 + 585*a**2 - 675*a + 243 = 0.
3/4, 1, 3, 9
Factor -y**3 - 96*y**2 + 4291*y + 4386.
-(y - 34)*(y + 1)*(y + 129)
Factor -24*n**4 - 88836*n**3 - 109638414*n**2 - 45152694291*n - 45043144689.
-3*(n + 1)*(2*n + 2467)**3
Determine u so that 1102*u**5/11 + 18732*u**4/11 - 20972*u**3/11 - 18696*u**2/11 + 19870*u/11 - 36/11 = 0.
-18, -1, 1/551, 1
Factor 4*d**4 - 928*d**3 - 10532*d**2 - 38688*d - 46656.
4*(d - 243)*(d + 3)*(d + 4)**2
Factor 24*s**2/5 - 478*s/5 + 434.
2*(s - 7)*(12*s - 155)/5
Find o, given that -3*o**3 + 58989*o**2 + 472056*o + 944208 = 0.
-4, 19671
Factor -w**4/3 + 248*w**3 - 207184*w**2/3 + 8531200*w - 1183360000/3.
-(w - 200)**2*(w - 172)**2/3
Factor 2*r**2 - 7988*r + 1123616.
2*(r - 3848)*(r - 146)
Factor -2*q**5/17 - 28012*q**4/17 - 98084018*q**3/17.
-2*q**3*(q + 7003)**2/17
Factor -3*y**2/2 - 410055*y/4 - 102513/2.
-3*(y + 68342)*(2*y + 1)/4
Factor -2720*n**2 - 19042*n - 14.
-2*(n + 7)*(1360*n + 1)
Factor 3*p**3/5 - 96*p**2 - 14244*p/5 - 49104/5.
3*(p - 186)*(p + 4)*(p + 22)/5
Factor 14*q**2/15 - 495268*q/15 + 47168/5.
2*(q - 35376)*(7*q - 2)/15
Factor 38829*k**2 - 5934*k + 1587/7.
3*(301*k - 23)**2/7
Suppose -w**5/6 + 211*w**4/3 - 15255*w**3/2 + 130832*w**2/3 - 108160*w/3 = 0. Calculate w.
0, 1, 5, 208
Factor -3*b**4 - 75*b**3 - 396*b**2 - 324*b.
-3*b*(b + 1)*(b + 6)*(b + 18)
Solve 2*p**5/5 + 814*p**4/5 - 5766*p**3/5 + 12402*p**2/5 - 7452*p/5 = 0 for p.
-414, 0, 1, 3
Suppose v**4 - 678*v**3 + 153228*v**2 - 11543176*v = 0. What is v?
0, 226
Factor -d**3 - 59202*d**2 + 236821*d - 177618.
-(d - 3)*(d - 1)*(d + 59206)
What is i in 14*i**3/5 - 13002*i**2/5 - 2048304*i/5 - 584168/5 = 0?
-137, -2/7, 1066
Solve 21*l**5/4 - 1884*l**4 + 173538*l**3 - 1621701*l**2/2 + 4248531*l/4 - 845883/2 = 0 for l.
6/7, 1, 3, 177
Factor q**3/7 + 8*q**2 + 748*q/7.
q*(q + 22)*(q + 34)/7
Find w, given that 2*w**4/11 - 426*w**3/11 - 15130*w**2/11 + 426*w/11 + 15128/11 = 0.
-31, -1, 1, 244
Factor 26*d**3/7 + 1726*d**2/7.
2*d**2*(13*d + 863)/7
Suppose -116*j**5 - 2452*j**4 - 4628*j**3 + 1844*j**2 + 4744*j + 608 = 0. Calculate j.
-19, -2, -1, -4/29, 1
What is n in 4*n**4 + 604*n**3 + 20996*n**2 + 40196*n + 19800 = 0?
-99, -50, -1
Factor 5*j**2/3 + 93925*j + 281770/3.
5*(j + 1)*(j + 56354)/3
Factor 2*j**2 + 4513*j/2 + 564.
(j + 1128)*(4*j + 1)/2
Let -2*j**5 - 140*j**4 + 104*j**3 + 56108*j**2 + 461370*j = 0. Calculate j.
-65, -13, 0, 21
Let f**3 + 5376*f**2 + 32229*f + 48330 = 0. Calculate f.
-5370, -3
What is h in 15*h**3 + 65076*h**2 + 91083*h + 26022 = 0?
-4337, -1, -2/5
Suppose -2*a**3/11 - 30548*a**2/11 - 116555840*a/11 + 700435200/11 = 0. Calculate a.
-7640, 6
Factor -5*j**4 + 435*j**3 + 24570*j**2.
-5*j**2*(j - 126)*(j + 39)
Suppose 5*j**5 + 440*j**4 + 845*j**3 - 1310*j**2 - 1700*j + 1720 = 0. Calculate j.
-86, -2, 1
Find s such that 3*s**2 - 555*s + 16758 = 0.
38, 147
Find i, given that -i**5/6 - 391*i**4/6 - 21848*i**3/3 - 175586*i**2 - 743760*i - 842400 = 0.
-180, -26, -3, -2
Factor c**4/2 + 761*c**3/2 - 6*c**2 - 4558*c + 6088.
(c - 2)**2*(c + 4)*(c + 761)/2
Let 4*h**5 + 212*h**4 + 2768*h**3 + 11776*h**2 + 9216*h = 0. Calculate h.
-36, -8, -1, 0
Factor 2*j**3/15 + 5558*j**2/15 - 11122*j/15 + 1854/5.
2*(j - 1)**2*(j + 2781)/15
Suppose -i**3 - 199*i**2 - 4840*i - 8892 = 0. What is i?
-171, -26, -2
Find u, given that 2*u**4 - 368*u**3 + 2146*u**2 - 1780*u = 0.
0, 1, 5, 178
Factor b**2/5 + 6474*b/5 + 12944/5.
(b + 2)*(b + 6472)/5
Let -3*u**2 - 540912*u = 0. What is u?
-180304, 0
Determine k, given that k**5/7 + 83*k**4/7 + 166*k**3 + 6246*k**2/7 + 14661*k/7 + 1809 = 0.
-67, -7, -3
Factor 5*t**5 + 65*t**4 + 270*t**3 + 470*t**2 + 365*t + 105.
5*(t + 1)**3*(t + 3)*(t + 7)
Let -4*w**5 - 11352*w**4 - 7974437*w**3 + 113176259*w**2 - 497223384*w + 697482268 = 0. Calculate w.
-1426, 7/2, 7
Factor 3*h**3 + 2301*h**2 - 64236*h + 61932.
3*(h - 26)*(h - 1)*(h + 794)
Find y such that y**3 - 6927*y**2 - 6930*y + 13856 = 0.
-2, 1, 6928
Solve -2*a**5/15 + 1642*a**4/15 - 326*a**3/3 - 8194*a**2/15 - 328*a = 0.
-1, 0, 3, 820
Determine z, given that -5*z**2/3 + 37160*z = 0.
0, 22296
Factor -2*x**3/5 + 1898*x**2/5 + 721242*x/5 + 11751318.
-2*(x - 1255)*(x + 153)**2/5
Solve t**4 + 3910*t**3 + 38259