0, 1, 3
Determine p, given that -5*p**5 - 75020*p**4 + 600390*p**3 - 1351080*p**2 + 135*p + 2026620 = 0.
-15012, -1, 3
Let 3*s**3/4 - 315*s**2/4 - 483*s/2 - 162 = 0. Calculate s.
-2, -1, 108
Factor 2*k**3/7 + 220*k**2/7 + 6834*k/7 + 41616/7.
2*(k + 8)*(k + 51)**2/7
What is q in q**4/6 + 23*q**3/2 - 143*q**2/6 - 23*q/2 + 71/3 = 0?
-71, -1, 1, 2
Determine q, given that 3*q**3 + 1218*q**2 + 39057*q + 37842 = 0.
-371, -34, -1
Factor k**2/4 - 179*k + 10725.
(k - 650)*(k - 66)/4
Factor 3*l**3 + 489*l**2 + 8517*l - 9009.
3*(l - 1)*(l + 21)*(l + 143)
Factor 4*r**3 + 9040*r**2 + 18068*r + 9032.
4*(r + 1)**2*(r + 2258)
Factor -2*f**2 - 786654*f.
-2*f*(f + 393327)
Factor 3*n**5 - 9*n**4 - 9*n**3 + 33*n**2 - 18*n.
3*n*(n - 3)*(n - 1)**2*(n + 2)
Suppose -28*u**3 - 248*u**2 - 188*u + 32 = 0. Calculate u.
-8, -1, 1/7
Find k, given that k**4/5 - 6*k**3 + 31*k**2 - 54*k + 144/5 = 0.
1, 2, 3, 24
Factor 4*n**4 + 398*n**3 - 93462*n**2.
2*n**2*(n - 111)*(2*n + 421)
Factor g**3/7 + 452*g**2/7 + 5205*g.
g*(g + 105)*(g + 347)/7
Factor v**2 + 13412*v + 214336.
(v + 16)*(v + 13396)
Factor -5*g**3 - 360*g**2 - 5385*g + 5750.
-5*(g - 1)*(g + 23)*(g + 50)
Let 7*b**4/3 + 243*b**3 - 964*b**2 + 2596*b/3 + 144 = 0. What is b?
-108, -1/7, 2
Find u such that 2*u**5 - 614*u**4 - 26083*u**3/2 - 12580*u**2 - 6213*u/2 = 0.
-19, -1/2, 0, 327
Suppose -10580*s**2 - 1958220*s - 90610245 = 0. What is s?
-4257/46
Determine u, given that -14*u**4/11 + 4540*u**3/11 - 489288*u**2/11 + 17518608*u/11 = 0.
0, 674/7, 114
Factor 5*c**3 - 2040*c**2 - 104195*c - 102150.
5*(c - 454)*(c + 1)*(c + 45)
Factor i**2/4 + 35400*i + 1253160000.
(i + 70800)**2/4
Solve -u**5/3 - 16*u**4 + 631*u**3/3 + 3026*u**2/3 + 1324*u + 1624/3 = 0.
-58, -2, -1, 14
Suppose c**5/2 + 644*c**4 + 208010*c**3 + 412805*c**2 - 416021*c/2 - 413449 = 0. What is c?
-643, -2, -1, 1
Suppose 2*x**4/3 - 484*x**3/3 - 8846*x**2/3 + 10288*x/3 + 6216 = 0. Calculate x.
-18, -1, 2, 259
Factor 3*b**3 - 20319*b**2 + 34129200*b + 936360000.
3*(b - 3400)**2*(b + 27)
Let -2*x**2/3 + 31260*x + 93782/3 = 0. What is x?
-1, 46891
Factor u**2/6 - 179024*u/3 + 119349/2.
(u - 358047)*(u - 1)/6
Find x, given that -2*x**5/19 - 522*x**4/19 - 39548*x**3/19 - 717804*x**2/19 - 3992450*x/19 - 3313674/19 = 0.
-119, -13, -9, -1
Find x, given that 4*x**5 + 108*x**4 + 280*x**3 - 7920*x**2 - 24224*x - 16128 = 0.
-18, -14, -2, -1, 8
Suppose -v**2/3 + 424*v - 23807/3 = 0. What is v?
19, 1253
Find n such that -24*n**4 + 201*n**3 + 1944*n**2 - 756*n = 0.
-6, 0, 3/8, 14
What is k in -81*k**4 + 72468*k**3 - 48288*k**2 + 96560*k/9 - 2384/3 = 0?
2/9, 894
Factor -n**2 - 568330*n - 80749747225.
-(n + 284165)**2
Solve -529*q**4 - 3220*q**3 - 2922*q**2 - 236*q - 5 = 0.
-5, -1, -1/23
Factor -3*z**5 + 1569*z**4 - 106248*z**3 + 1936404*z**2.
-3*z**2*(z - 447)*(z - 38)**2
Let -g**3/2 + 561*g**2/2 - 11965*g + 61800 = 0. Calculate g.
6, 40, 515
Factor m**3 + 35076*m**2 + 70149*m + 35074.
(m + 1)**2*(m + 35074)
Factor -3*y**4 - 141*y**3 - 132*y**2 + 276*y.
-3*y*(y - 1)*(y + 2)*(y + 46)
Solve -24*z**5 + 2733*z**4 - 2637*z**3 - 8151*z**2 + 2661*z + 5418 = 0 for z.
-1, 1, 2, 903/8
Factor 6*m**3 - 621*m**2 + 6231*m + 10764.
3*(m - 92)*(m - 13)*(2*m + 3)
Suppose -3*a**5 + 4008*a**4 - 1809810*a**3 + 287100732*a**2 - 4968154659*a + 21320338788 = 0. Calculate a.
7, 12, 439
Let 3*o**2 - 237*o - 12876 = 0. What is o?
-37, 116
Factor -16*o**3/7 + 127126*o**2/7 - 252476204*o/7 - 157847290/7.
-2*(o - 3973)**2*(8*o + 5)/7
Factor 5*w**3 + 106070*w**2 - 3823380*w + 34425000.
5*(w - 18)**2*(w + 21250)
Find v, given that -4*v**2 + 190160*v = 0.
0, 47540
Solve 14*x**4 + 139*x**3 - 5736*x**2 - 11491*x + 850 = 0 for x.
-25, -2, 1/14, 17
Find w, given that 2*w**2 - 26604*w/7 + 7600/7 = 0.
2/7, 1900
Find l, given that -5*l**4 + 21215*l**3 + 63695*l**2 - 21215*l - 63690 = 0.
-3, -1, 1, 4246
Solve -729*o**5/4 + 21573*o**4/4 + 31877*o**3/4 - 1897*o**2/4 - 2372*o + 496 = 0 for o.
-1, 8/27, 31
Factor -2*l**2 - 3584*l - 7160.
-2*(l + 2)*(l + 1790)
Factor -z**3/4 + 27*z**2 - 2435*z/4 + 3900.
-(z - 80)*(z - 15)*(z - 13)/4
Factor 2*o**2/3 - 13712*o/3 + 27416/3.
2*(o - 6854)*(o - 2)/3
Determine v so that -2*v**2/5 + 4282*v/5 + 30072/5 = 0.
-7, 2148
Let -2*q**5 - 9704*q**4 - 11809714*q**3 - 94060828*q**2 - 246549912*q - 211179024 = 0. Calculate q.
-2422, -3, -2
Let -2*v**3/13 + 2564*v**2/13 - 316642*v/13 + 10306744/13 = 0. What is v?
67, 1148
Let -5*h**2/3 - 4215*h - 25270/3 = 0. Calculate h.
-2527, -2
Determine o, given that 3*o**5 + 270*o**4 + 735*o**3 - 4140*o**2 + 3132*o = 0.
-87, -6, 0, 1, 2
Factor -152*q**3 - 758*q**2 + 10*q.
-2*q*(q + 5)*(76*q - 1)
Solve -4*f**2 - 688*f - 5248 = 0 for f.
-164, -8
Factor -2*d**3 - 6*d**2 + 56*d + 120.
-2*(d - 5)*(d + 2)*(d + 6)
What is m in 4*m**2 - 395132*m - 1580592 = 0?
-4, 98787
Determine a so that 2*a**3/7 + 2976*a**2/7 - 5958*a/7 + 2980/7 = 0.
-1490, 1
What is b in -12*b**4 - 183*b**3 + 20955*b**2 + 5250*b = 0?
-50, -1/4, 0, 35
Solve -21316*c**3 + 1450656*c**2 - 79440*c + 1088 = 0.
2/73, 68
Factor -4*f**2 - 60784*f + 60788.
-4*(f - 1)*(f + 15197)
What is m in 28*m**3 - 31140*m**2 + 35556*m - 4444 = 0?
1/7, 1, 1111
Let 4*g**2 - 2552672*g + 407258396224 = 0. What is g?
319084
Solve -70*y**5 + 5*y**4 + 3430*y**3 + 2275*y**2 - 17820*y + 1260 = 0.
-6, -3, 1/14, 2, 7
Factor 478*q**2/19 + 972*q/19 + 32/19.
2*(q + 2)*(239*q + 8)/19
Suppose -3*q**5 + 1062*q**4 - 91839*q**3 - 380196*q**2 - 384492*q = 0. Calculate q.
-2, 0, 179
Suppose -675*g**3 + 699390*g**2 - 181398228*g + 120621512 = 0. Calculate g.
2/3, 7766/15
Suppose 92*l**4 + 772*l**3 + 2220*l**2 + 2412*l + 648 = 0. Calculate l.
-3, -2, -9/23
Let -8*i**5/11 + 178*i**4/11 - 196*i**3/11 - 298*i**2/11 + 84*i/11 = 0. Calculate i.
-1, 0, 1/4, 2, 21
Factor d**2/6 + 18119*d/3 + 328298161/6.
(d + 18119)**2/6
Factor 5*h**3 - 295*h**2 + 3955*h + 4255.
5*(h - 37)*(h - 23)*(h + 1)
What is o in -2*o**4/11 + 94*o**3/11 + 24842*o**2/11 - 24934*o/11 = 0?
-91, 0, 1, 137
Find u, given that -11624*u**2/17 + 2930*u/17 - 6/17 = 0.
3/1453, 1/4
Let -87219*a**4 - 87213*a**3 + 6*a**2 = 0. What is a?
-1, 0, 2/29073
Solve 4*k**4 - 256*k**3 - 296*k**2 + 2304*k + 2340 = 0.
-3, -1, 3, 65
Factor 4*t**3 + 408*t**2 - 8352*t + 34560.
4*(t - 12)*(t - 6)*(t + 120)
Factor -2*w**2 + 58*w + 5092.
-2*(w - 67)*(w + 38)
Factor -5*r**3 - 175*r**2 + 2170*r - 3600.
-5*(r - 8)*(r - 2)*(r + 45)
Let -2*c**3 + 1734091*c**2 - 375883516012*c - 187942191529 = 0. What is c?
-1/2, 433523
Suppose -z**2 - 26568*z + 106288 = 0. Calculate z.
-26572, 4
Suppose 12*y**2 + 9188*y + 6120 = 0. What is y?
-765, -2/3
Factor u**3/5 + 146622*u**2/5 - 293247*u/5 + 146624/5.
(u - 1)**2*(u + 146624)/5
Solve -6*c**5 - 62*c**4 + 854*c**3 - 2418*c**2 + 2392*c - 760 = 0.
-19, 2/3, 1, 2, 5
What is y in y**5 + 53*y**4 + 777*y**3 + 1975*y**2 + 1250*y = 0?
-25, -2, -1, 0
Factor -d**3 + 1107*d**2 + 33885*d + 255825.
-(d - 1137)*(d + 15)**2
Find o, given that 2*o**4/3 + 427*o**3/3 + 6953*o**2 - 70485*o - 36963 = 0.
-111, -1/2, 9
Factor 4*l**5 + 2664*l**4 + 435504*l**3 - 2677280*l**2 + 5397504*l - 3612672.
4*(l - 2)**3*(l + 336)**2
Factor 365*l**2 - 5595*l + 1800.
5*(l - 15)*(73*l - 24)
Solve 5*k**4/3 + 1024990*k**3/3 + 52531249985*k**2/3 + 35019808340*k + 17509733340 = 0 for k.
-102498, -1
Factor 3*f**2 - 828*f + 3264.
3*(f - 272)*(f - 4)
Factor -36*h**3 + 2343*h**2 + 9741*h - 828.
-3*(h - 69)*(h + 4)*(12*h - 1)
Let -2*v**5 - 320*v**4/11 + 4738*v**3/11 - 6124*v**2/11 - 576*v/11 + 2304/11 = 0. Calculate v.
-24, -6/11, 1, 8
Find n such that -12*n**4 + 10840*n**3 + 615260*n**2 + 1002520*n + 398112 = 0.
-52, -1, -2/3, 957
Determine m, given that 12*m**4/5 - 1378*m**3/5 + 6082*m**2/5 + 32732*m/5 + 1056 = 0.
-3, -1/6, 8, 110
Let 3*l**3 - 1278*l**2 + 135915*l = 0. What is l?
0, 205, 221
Suppose -3*r**4 + 12*r**3 + 129*r**2 - 282*r + 144 = 0. Calculate r.
-6, 1, 8
Find q such that -q**2/3 - 43439*q/3 = 0.
-43439, 0
Factor -28*r**3 - 3620*r**2 - 110792*r - 31360.
-4*(r + 49)*(r + 80)*(7*r + 2)
Factor 3*z**2 + 315*z + 6882.
3*(z + 31)*(z + 74)
Suppose g**4 + 11711*g**3 - 35139*g**2 + 35141*g - 11714 = 0. Calculate g.
-11714, 1
Determine n so that -2*n**5 + 92*n**4 - 1356*n**3 + 6776*n**2 - 9842*n + 4332 = 0.
1, 6, 19
Suppose 2*l**2/11 - 384*l - 42440/11 = 0. What is l?
-10, 2122
Find t such that -t**5/3 - 3587