+ 23900*m**2 = 0.
0, 8, 1195
Factor 2*b**2/19 - 128*b/19 - 6402/19.
2*(b - 97)*(b + 33)/19
Factor 3*i**2 - 40410*i + 136080675.
3*(i - 6735)**2
Factor -5*o**3 + 800*o**2 + 15615*o + 72090.
-5*(o - 178)*(o + 9)**2
Let 335*k**2/2 + 13730*k - 410 = 0. What is k?
-82, 2/67
Factor l**2/4 - 41889*l.
l*(l - 167556)/4
Find q, given that -2*q**5/7 + 8*q**4 + 2704*q**3/7 - 2812*q**2/7 - 386*q + 2756/7 = 0.
-26, -1, 1, 53
Factor -2*f**3/7 - 1174*f**2/7 - 172272*f/7.
-2*f*(f + 291)*(f + 296)/7
Factor 162*a**4/7 - 142956*a**3/7 + 31569434*a**2/7 - 2001384*a + 222264.
2*(a - 441)**2*(9*a - 2)**2/7
Factor u**4/4 - 554*u**3 - 2217*u**2/4.
u**2*(u - 2217)*(u + 1)/4
Factor 4*w**4 - 316*w**3 + 5852*w**2 - 40964*w + 98784.
4*(w - 56)*(w - 9)*(w - 7)**2
Determine f so that -3*f**4 - 141*f**3 + 12012*f**2 = 0.
-91, 0, 44
Determine n, given that -16*n**4/5 + 36*n**3/5 + 180*n**2 - 1144*n/5 - 1344/5 = 0.
-7, -3/4, 2, 8
Factor 10*p**3 - 75*p**2 - 145*p + 510.
5*(p - 2)*(p + 3)*(2*p - 17)
Determine b so that -2*b**4 - 96*b**3 - 864*b**2 + 5120*b = 0.
-32, -20, 0, 4
Solve 3*q**5 + 48*q**4 + 261*q**3 + 564*q**2 + 420*q = 0 for q.
-7, -5, -2, 0
Factor -c**2/9 - 1242616*c/9 - 386023630864/9.
-(c + 621308)**2/9
Factor -2*v**3/13 + 2004*v**2/13 - 504000*v/13 + 1000000/13.
-2*(v - 500)**2*(v - 2)/13
Determine m, given that -m**5 - 47*m**4/2 - 42*m**3 + 211*m**2 - 197*m + 105/2 = 0.
-21, -5, 1/2, 1
Factor 6*d**2/7 + 7264*d/7 + 4840/7.
2*(d + 1210)*(3*d + 2)/7
Let 18*i**3/7 + 29130*i**2/7 + 38816*i/7 + 1848 = 0. Calculate i.
-1617, -2/3
Factor k**4 - 546*k**3 + 109413*k**2 - 9523332*k + 304223364.
(k - 171)**2*(k - 102)**2
Factor -w**3/4 - 1325*w**2/4 - 17766*w.
-w*(w + 56)*(w + 1269)/4
Factor 2*l**2 + 1225382*l + 1225380.
2*(l + 1)*(l + 612690)
Let -3*v**2/2 + 1236*v + 42891/2 = 0. What is v?
-17, 841
Factor -30*h**2 + 19075*h + 3180.
-5*(h - 636)*(6*h + 1)
Suppose 44*k**3/7 + 804*k**2/7 + 4120*k/7 + 576 = 0. Calculate k.
-9, -8, -14/11
Solve u**3/4 + 4033*u**2/4 + 8063*u/4 + 4031/4 = 0.
-4031, -1
Solve g**4/5 + 56*g**3 + 4224*g**2/5 = 0.
-264, -16, 0
Let -2*v**4 - 24218*v**3 - 72634*v**2 + 24218*v + 72636 = 0. Calculate v.
-12106, -3, -1, 1
Solve -2*d**5/3 - 98*d**4/3 + 1250*d**3/3 + 58850*d**2/3 - 260000*d + 240000 = 0 for d.
-40, 1, 15
Factor 2*a**3 + 214*a**2 + 7440*a + 84600.
2*(a + 30)**2*(a + 47)
Let -65*i**3/3 - 1894*i**2/3 + 563*i + 90 = 0. Calculate i.
-30, -9/65, 1
Solve -4*x**5 + 552*x**4 - 4188*x**3 + 3640*x**2 = 0 for x.
0, 1, 7, 130
Determine y, given that 3*y**3 - 1710*y**2 - 13824*y - 27744 = 0.
-4, 578
Find o, given that 4*o**2/9 + 38128*o/9 - 25424/3 = 0.
-9534, 2
Factor 6*c**2/5 + 2247*c - 16866/5.
3*(c + 1874)*(2*c - 3)/5
What is d in d**3 + 93*d**2/2 + 967*d/2 - 531 = 0?
-59/2, -18, 1
Determine y, given that -5*y**4 - 52345*y**3 + 104705*y**2 - 52355*y = 0.
-10471, 0, 1
Factor -f**3 - 25*f**2 + 150*f.
-f*(f - 5)*(f + 30)
Factor -2*k**3 + 15244*k**2 - 29424792*k + 1433379600.
-2*(k - 3786)**2*(k - 50)
What is c in -c**3/4 - 235*c**2/2 - 23597*c/4 - 5782 = 0?
-413, -56, -1
Find c, given that 3*c**3/5 + 66*c**2/5 + 123*c/5 + 12 = 0.
-20, -1
Factor -5*m**3 + 2775*m**2 - 451935*m + 17670285.
-5*(m - 249)**2*(m - 57)
What is z in -104*z**5 + 4892*z**4 + 26020*z**3 + 41840*z**2 + 19984*z - 832 = 0?
-2, -1, 1/26, 52
Suppose -v**2 - 1144*v - 5695 = 0. What is v?
-1139, -5
What is v in v**4 - 8911*v**3 - 160705*v**2 - 151793*v = 0?
-17, -1, 0, 8929
Factor 4*z**5/7 - 552*z**4/7 - 55484*z**3/7 + 5142432*z**2/7 + 347151424*z/7.
4*z*(z - 137)**2*(z + 68)**2/7
What is i in -i**3 - 67331*i**2 - 67330*i = 0?
-67330, -1, 0
Solve -81*k**5/2 - 395*k**4/2 + 25*k**3 = 0 for k.
-5, 0, 10/81
Factor -g**4/3 - 112811*g**3/3 - 225619*g**2/3 - 37603*g.
-g*(g + 1)**2*(g + 112809)/3
Factor 4*k**4 - 307*k**3 + 6003*k**2 - 4256*k - 1444.
(k - 38)**2*(k - 1)*(4*k + 1)
Solve 2*c**3 + 5316*c**2 - 112518*c = 0 for c.
-2679, 0, 21
Find q, given that -46*q**5 + 418*q**4 + 470*q**3 - 458*q**2 - 424*q + 40 = 0.
-1, 2/23, 1, 10
Factor 4*n**2 + 31496*n.
4*n*(n + 7874)
Determine x so that x**3 - 4308*x**2 - 73509*x - 69200 = 0.
-16, -1, 4325
Factor 2*t**3 + 1036*t**2 - 45758*t + 44720.
2*(t - 40)*(t - 1)*(t + 559)
Suppose 12*c**5/11 - 654*c**4/11 + 3306*c**3/11 - 3528*c**2/11 = 0. Calculate c.
0, 3/2, 4, 49
Let a**3 + 898*a**2 + 25229*a + 24332 = 0. Calculate a.
-869, -28, -1
Solve 235*k**5 + 1185*k**4 - 655*k**3 - 3085*k**2 + 2220*k + 100 = 0.
-5, -2, -2/47, 1
Solve 35*i**5 + 310*i**4 + 725*i**3 - 110*i**2 - 1120*i + 160 = 0 for i.
-4, -2, 1/7, 1
Suppose -5*q**4/2 + 432680*q**3 + 432685*q**2 - 432680*q - 865365/2 = 0. What is q?
-1, 1, 173073
Factor -115*f**2 - 4117470*f - 358040.
-5*(f + 35804)*(23*f + 2)
Let 2*b**3 - 1144*b**2 - 23608*b - 42624 = 0. Calculate b.
-18, -2, 592
Solve -5*v**3/2 - 275*v**2/2 + 2155*v - 3740 = 0.
-68, 2, 11
Let k**2/6 + 12397*k/6 - 43463 = 0. What is k?
-12418, 21
Let 88*o**5 - 3812*o**4 + 17916*o**3 - 4976*o**2 - 1520*o = 0. Calculate o.
-2/11, 0, 1/2, 5, 38
Suppose n**5/6 - 58*n**4/3 - 14639*n**3/6 - 53275*n**2 + 113946*n - 58212 = 0. Calculate n.
-42, 1, 198
Suppose 2*s**4/3 - 2878*s**3 - 5758*s**2 - 8638*s/3 = 0. Calculate s.
-1, 0, 4319
Factor -l**3/2 + 140*l**2 + 53431*l/2 - 26855.
-(l - 410)*(l - 1)*(l + 131)/2
Factor -5*l**5 - 95*l**4 + 460*l**3 - 80*l**2 - 1760*l + 1840.
-5*(l - 2)**3*(l + 2)*(l + 23)
Find u, given that 1395*u**3 + 2830*u**2 + 1475*u + 40 = 0.
-1, -8/279
Factor t**2/2 + 365*t + 729/2.
(t + 1)*(t + 729)/2
Solve 5*n**3/3 - 630125*n**2 + 59558942405*n - 178674936845/3 = 0.
1, 189037
What is d in 14*d**3/9 - 1328*d**2/3 + 31174*d + 408980/9 = 0?
-10/7, 143
Factor 126*j**3/11 - 47616*j**2/11 + 4496310*j/11 + 428652/11.
6*(j - 189)**2*(21*j + 2)/11
Factor -5*u**3 - 17335*u**2 + 2134200*u - 64566000.
-5*(u - 60)**2*(u + 3587)
Determine b so that 2*b**4/13 + 2774*b**3/13 + 1245450*b**2/13 + 162901250*b/13 - 8145062500/13 = 0.
-475, 38
Determine h so that 52*h**4/5 + 1204*h**3/5 + 9024*h**2/5 + 4432*h + 640 = 0.
-10, -8, -5, -2/13
Suppose -21*k**5/2 + 276*k**4 + 5298*k**3 - 125961*k**2 - 755775*k/2 + 118125 = 0. Calculate k.
-21, -3, 2/7, 25
Solve -i**2/3 - 188*i - 8768/3 = 0.
-548, -16
Determine m, given that -4*m**2 + 79648*m - 396487744 = 0.
9956
Find g, given that g**5/4 + 25*g**4/2 + 289*g**3/2 + 94*g**2 - 5955*g/4 + 2475/2 = 0.
-33, -15, -5, 1, 2
Let -2*d**3 + 191992*d**2/7 - 137126*d/7 - 7836 = 0. What is d?
-2/7, 1, 13713
Factor r**2 - 437*r + 17292.
(r - 393)*(r - 44)
Suppose 227*d**2 + 476*d + 44 = 0. What is d?
-2, -22/227
Factor j**5 + 1451*j**4 + 10126*j**3 + 26012*j**2 + 28888*j + 11552.
(j + 1)*(j + 2)**3*(j + 1444)
Solve -3*o**4/2 + 282*o**3 - 2757*o**2/2 + 1098*o = 0 for o.
0, 1, 4, 183
Factor -5*a**2 + 1990*a - 43125.
-5*(a - 375)*(a - 23)
Factor -b**3 - 1633*b**2 - 25887*b - 24255.
-(b + 1)*(b + 15)*(b + 1617)
Suppose 9*h**5 + 6141*h**4 + 26467*h**3 + 16919*h**2 - 21012*h + 4068 = 0. Calculate h.
-678, -3, -2, 1/3
Solve -2*n**2 - 7136*n - 7134 = 0.
-3567, -1
Solve -33*r**4 - 95*r**3 + 210*r**2 + 240*r - 32 = 0 for r.
-4, -1, 4/33, 2
Suppose 3*j**3 + 54889*j**2/3 - 58984*j + 12204 = 0. Calculate j.
-6102, 2/9, 3
Let -3*z**3/2 - 6651*z**2/2 - 66285*z/2 - 165525/2 = 0. Calculate z.
-2207, -5
Factor -12*b**2 + 81885*b - 163722.
-3*(b - 2)*(4*b - 27287)
Factor 40*w**3/7 - 52*w**2/7 - 228*w/7 + 72/7.
4*(w - 3)*(w + 2)*(10*w - 3)/7
What is b in 2*b**5 - 66*b**4 - 224*b**3 + 264*b**2 + 864*b = 0?
-3, -2, 0, 2, 36
Find l, given that -2*l**5/7 + 4*l**4 + 78*l**3/7 - 1912*l**2/7 + 2840*l/7 + 4800/7 = 0.
-8, -1, 3, 10
Factor -3*t**2/7 - 276*t - 101964/7.
-3*(t + 58)*(t + 586)/7
Let -2*k**4 - 108*k**3 + 1544*k**2 - 2640*k = 0. What is k?
-66, 0, 2, 10
Factor 3*y**2 - 401832*y + 13455746352.
3*(y - 66972)**2
Let 3267*b**5/5 - 3185721*b**4/5 + 778399293*b**3/5 - 869147451*b**2/5 + 19355328*b - 2846028/5 = 0. What is b?
2/33, 1, 487
Determine w so that 112*w**4 + 84564*w**3 - 422588*w**2 - 21240*w + 30400 = 0.
-760, -2/7, 1/4, 5
Factor f**5/2 - 8087*f**4/2 + 8085*f**3.
f**3*(f - 8085)*(f - 2)/2
Factor 2*c**2/7 + 2351508*c/7 + 691198734258/7.
2*(c + 587877)**2/7
Let 3*x**2/8 - 14931*x/4 + 29859/8 = 0. What is x?
1, 9953
Let r**5/7 - 54*r**4/7 + 922*r**3/7 - 3480*r**2/7 - 36347*r/7 + 184110/7 = 0. What is r?
-6, 5, 17, 19
Factor g**2 - 15226*g 