*3 - 161*m**2 - 20*m + 300.
(m - 2)**2*(m + 5)*(11*m + 15)
Factor 6507601*a**3 - 572658684*a**2 - 897948*a - 352.
(a - 88)*(2551*a + 2)**2
Determine r so that -r**4 - 1088*r**3 - 8621*r**2 + 20510*r - 10800 = 0.
-1080, -10, 1
Solve -2*j**5/13 + 52118*j**4/13 - 339509678*j**3/13 - 339613918*j**2/13 + 339509680*j/13 + 339561800/13 = 0 for j.
-1, 1, 13030
Solve 2*z**2 - 12030*z + 832300 = 0.
70, 5945
Suppose 27*o**3/8 + 927*o**2/2 + 123519*o/8 - 131043/4 = 0. Calculate o.
-209/3, 2
Factor 9*m**2 + 47288*m + 10508.
(m + 5254)*(9*m + 2)
Find a, given that -4*a**4 - 52*a**3 + 1272*a**2 + 11648*a + 23936 = 0.
-22, -4, 17
What is j in -j**5 + 407*j**4 - 7858*j**3 + 45846*j**2 - 69741*j + 31347 = 0?
1, 9, 387
Factor f**2 + 37272*f + 347300496.
(f + 18636)**2
Let -3*v**4 - 30*v**3 + 8505*v**2 + 8580*v - 17052 = 0. Calculate v.
-58, -2, 1, 49
Suppose -3*k**4/2 - 129*k**3 - 1596*k**2 - 6144*k - 6912 = 0. What is k?
-72, -8, -4, -2
Let 355*l**2 - 18090*l - 765 = 0. What is l?
-3/71, 51
Find k, given that -3*k**2/2 - 2370375*k - 1872892546875/2 = 0.
-790125
Find d such that -2*d**4/7 + 214*d**3/7 - 628*d**2/7 + 416*d/7 = 0.
0, 1, 2, 104
Let 2*z**4 - 18528*z**3 - 55596*z**2 - 55600*z - 18534 = 0. What is z?
-1, 9267
Solve u**4/2 + 592*u**3 + 3545*u**2/2 + 1181*u = 0.
-1181, -2, -1, 0
Determine y, given that -3*y**2 - 99999*y = 0.
-33333, 0
Find t, given that 2*t**3/9 - 208*t**2/9 + 4526*t/9 = 0.
0, 31, 73
Solve -3*a**5 - 16*a**4 + 391*a**3 + 2080*a**2 + 3356*a + 1680 = 0.
-12, -2, -1, 35/3
Find s, given that -s**2/9 + 7192*s/3 + 43156/9 = 0.
-2, 21578
Factor -2*i**5 - 3282*i**4 + 130026*i**3 - 1699126*i**2 + 7381920*i.
-2*i*(i - 13)**3*(i + 1680)
Determine k so that -k**4/4 - 25*k**3/4 - 47*k**2 - 125*k - 84 = 0.
-14, -6, -4, -1
Let 4*d**2/9 - 5644*d/3 + 16928/9 = 0. Calculate d.
1, 4232
Determine n, given that n**4/7 + 22*n**3 + 604*n**2/7 + 600*n/7 = 0.
-150, -2, 0
Factor 4*f**4 - 24*f**3 - 604*f**2 - 576*f.
4*f*(f - 16)*(f + 1)*(f + 9)
Find p such that 4*p**4 - 2120*p**3 + 421012*p**2 - 37129680*p + 1226960784 = 0.
126, 139
Suppose -m**5/6 + 4*m**4 - 143*m**3/6 + 20*m**2 = 0. What is m?
0, 1, 8, 15
Solve -2*v**5 - 83*v**4 - 273*v**3 - 268*v**2 - 76*v = 0.
-38, -2, -1, -1/2, 0
Let 2*n**3/11 + 56888*n**2/11 = 0. What is n?
-28444, 0
Factor -2*y**3/15 - 86*y**2/15 - 172*y/5 - 144/5.
-2*(y + 1)*(y + 6)*(y + 36)/15
Factor -4*t**3/5 - 752*t**2/5 - 6916*t + 14440.
-4*(t - 2)*(t + 95)**2/5
Suppose 7*q**4/2 - 960*q**3 + 170571*q**2/2 - 2428579*q + 686940 = 0. Calculate q.
2/7, 60, 107
Suppose -2*w**2/5 + 750994*w/5 = 0. What is w?
0, 375497
Suppose -m**5/5 + 43*m**4/5 - 532*m**3/5 + 1728*m**2/5 + 2304*m/5 = 0. What is m?
-1, 0, 8, 12, 24
Factor -3*b**2/8 + 393*b/4 + 789/8.
-3*(b - 263)*(b + 1)/8
Find v, given that -33*v**4 + 459*v**3 - 948*v**2 - 1440*v = 0.
-1, 0, 4, 120/11
Solve 20*n**4 + 595*n**3 + 4960*n**2 + 11015*n + 6630 = 0.
-17, -39/4, -2, -1
Factor 4*q**2 - 80989*q + 20247.
(q - 20247)*(4*q - 1)
Solve 54*y**5/13 - 144*y**4 + 12612*y**3/13 + 66184*y**2/13 - 266*y/13 - 141512/13 = 0.
-7/3, 4/3, 19
Factor 5880*j**2 + 17613*j - 81.
3*(j + 3)*(1960*j - 9)
Factor a**3/5 + 98*a**2/5 - 1241*a/5 - 4578/5.
(a - 14)*(a + 3)*(a + 109)/5
Determine t, given that 5*t**2 - 497435*t + 1492260 = 0.
3, 99484
Suppose 12602500*b**2 - 13944400*b + 3857296 = 0. What is b?
982/1775
Factor -u**3 + 53*u**2 + 994*u + 1768.
-(u - 68)*(u + 2)*(u + 13)
Solve s**2/2 + 31193*s + 973003249/2 = 0 for s.
-31193
Solve n**5 + 6674*n**4 + 11155576*n**3 + 66773360*n**2 + 133440016*n + 88924448 = 0 for n.
-3334, -2
Factor p**2 - 308240*p + 23752974400.
(p - 154120)**2
Suppose 7*f**3 + 240*f**2 + 671*f + 438 = 0. What is f?
-219/7, -2, -1
Factor -10125*t**5/2 + 95175*t**4/2 - 166320*t**3 + 256512*t**2 - 147456*t.
-3*t*(t - 3)*(15*t - 32)**3/2
Determine n, given that 5*n**5 + 620*n**4 + 17195*n**3 - 17820*n**2 = 0.
-81, -44, 0, 1
Factor -n**3/2 - 577*n**2/2 - 1998*n - 1710.
-(n + 1)*(n + 6)*(n + 570)/2
Let -d**4/3 - 442*d**3 - 9244*d**2/3 - 4838*d - 6595/3 = 0. Calculate d.
-1319, -5, -1
Factor -2*g**2/5 + 84*g/5 + 6806/5.
-2*(g - 83)*(g + 41)/5
What is r in 2*r**2 - 262*r + 516 = 0?
2, 129
Find k such that 2*k**5/5 + 24*k**4/5 - 204*k**3/5 - 1256*k**2/5 + 6474*k/5 - 1008 = 0.
-15, -8, 1, 3, 7
Factor 2*j**2 - 486652*j + 29603771138.
2*(j - 121663)**2
Solve -242*b**5/3 - 10318*b**4/3 + 5292*b**3 + 59144*b**2/3 - 22832*b/3 + 704 = 0.
-44, -2, 2/11, 3
Determine o, given that -722*o**3/3 - 10184*o**2/15 + 72*o/5 = 0.
-54/19, 0, 2/95
Determine y, given that -5*y**5/2 - 191*y**4/2 - 171*y**3/2 + 583*y**2/2 + 470*y + 186 = 0.
-186/5, -1, 2
Suppose -3*d**3/7 - 4050*d**2/7 + 124200*d/7 = 0. Calculate d.
-1380, 0, 30
Determine s so that 6*s**4/11 - 1411*s**3/11 + 20078*s**2/11 - 1160*s = 0.
0, 2/3, 29/2, 220
What is g in 15*g**3 + 109465*g**2 + 199582000*g - 466287500 = 0?
-3650, 7/3
Factor j**2/2 + 915*j/2 + 913.
(j + 2)*(j + 913)/2
Find r such that -2*r**3/5 - 188*r**2 + 946*r/5 + 1884/5 = 0.
-471, -1, 2
Factor -z**3/2 + 2*z**2 + 16*z.
-z*(z - 8)*(z + 4)/2
Factor 2*l**2/3 - 40072*l/3 + 200720648/3.
2*(l - 10018)**2/3
What is g in g**2 - 402*g + 35072 = 0?
128, 274
Factor 23041*t**2 - 23025*t - 16.
(t - 1)*(23041*t + 16)
Find v, given that -3202*v**3 + 63988*v**2/13 + 38504*v/13 + 48/13 = 0.
-6/13, -2/1601, 2
Factor -3*k**3 + 912*k**2 - 35295*k - 5700414.
-3*(k - 181)**2*(k + 58)
Determine z, given that 2*z**2/7 - 157238*z/7 + 157236/7 = 0.
1, 78618
Let 5*n**4 - 230*n**3 - 70855*n**2 + 1690500*n + 270112500 = 0. Calculate n.
-75, 98
Factor 2*l**2 + 280086*l.
2*l*(l + 140043)
Suppose 3*w**2 - 96174*w - 96177 = 0. What is w?
-1, 32059
What is d in -7*d**3 - 2280*d**2 + 9892*d - 2640 = 0?
-330, 2/7, 4
Factor -2*n**4/21 - 850*n**3/21 + 244*n**2/3.
-2*n**2*(n - 2)*(n + 427)/21
Factor -2*d**3 - 1606874*d**2 - 322754703046*d + 322756309922.
-2*(d - 1)*(d + 401719)**2
Determine r, given that -5*r**5/6 - 19*r**4/2 - 39*r**3 - 63*r**2 - 27*r/2 + 81/2 = 0.
-3, 3/5
Factor 2*q**4 - 547944*q**3 + 37529780444*q**2 + 75061204728*q + 37530876338.
2*(q - 136987)**2*(q + 1)**2
Factor c**5/11 + 3*c**4 - 69*c**3/11 + 35*c**2/11.
c**2*(c - 1)**2*(c + 35)/11
Let -3*w**4 - 474*w**3 - 21276*w**2 - 196662*w - 175857 = 0. What is w?
-73, -11, -1
Factor -4*n**2 - 4136*n - 8256.
-4*(n + 2)*(n + 1032)
Factor -16*l**3 + 74*l**2 - 34*l - 24.
-2*(l - 4)*(l - 1)*(8*l + 3)
Factor -2*b**2/9 - 153772*b/9 - 2955728498/9.
-2*(b + 38443)**2/9
Find j, given that -j**3 + 5257*j**2 - 6922136*j + 34479380 = 0.
5, 2626
Determine r, given that 6*r**4/5 - 1124*r**3/5 - 23002*r**2/5 - 14456*r/5 + 7416/5 = 0.
-18, -1, 1/3, 206
Factor -n**2 + 6024*n - 90135.
-(n - 6009)*(n - 15)
Factor -4*x**2 + 57628*x + 115272.
-4*(x - 14409)*(x + 2)
Let -3*p**4 - 12756*p**3 - 13340175*p**2 + 468429798*p = 0. What is p?
-2143, 0, 34
Let -5*l**2 - 5*l + 1530 = 0. Calculate l.
-18, 17
Find k, given that k**4 - 4003*k**3 - 3*k**2 + 12011*k - 8006 = 0.
-2, 1, 4003
Suppose -3*j**2/7 + 22593*j/7 - 225630/7 = 0. What is j?
10, 7521
Factor -2*n**3 + 518*n**2 - 17742*n + 48618.
-2*(n - 219)*(n - 37)*(n - 3)
Suppose 25*y**3 - 2545*y**2 - 530*y + 2040 = 0. What is y?
-1, 4/5, 102
Find x, given that -26858*x**2/9 - 26852*x/9 + 2/3 = 0.
-1, 3/13429
Let f**3 + 4687*f**2 + 5545496*f + 125079152 = 0. Calculate f.
-2332, -23
What is o in 4*o**3/3 + 1840*o**2/3 + 261632*o/3 + 11841536/3 = 0?
-236, -112
Solve -3*b**2/4 - 825*b/4 - 13209/2 = 0 for b.
-238, -37
Determine n so that -12*n**4/5 - 1731*n**3 - 10779*n**2/5 + 15126*n/5 + 864 = 0.
-720, -2, -1/4, 1
Factor 2*z**3 + 3118*z**2 - 31362*z + 28242.
2*(z - 9)*(z - 1)*(z + 1569)
Let 4*w**4 + 236*w**3 + 1588*w**2 - 2316*w - 3672 = 0. Calculate w.
-51, -9, -1, 2
Factor -5*b**3 - 5810*b**2 - 57725*b - 144000.
-5*(b + 5)**2*(b + 1152)
Factor -12*m**3/7 + 2654128*m**2/7 - 146757353628*m/7 - 97839415368/7.
-4*(m - 110589)**2*(3*m + 2)/7
Factor 5*m**3/3 - 12745*m**2/3 + 12730*m/3 + 25480/3.
5*(m - 2548)*(m - 2)*(m + 1)/3
Factor s**2 + 9152*s - 9153.
(s - 1)*(s + 9153)
Solve -v**4 - 62*v**3 + 396*v**2 - 808*v + 544 = 0.
-68, 2
Suppose -3*u**3 + 2487*u**2 + 4995*u - 7479 = 0. What is u?
-3, 1, 831
Factor -5*v**3 - 2295*v**2 - 339375*v - 16328125.
-5*(v + 125)**2*(v + 209)
Factor 4*w**3/3 + 27440*w**2/3 + 47387152*w/3 + 373847168.
4*(w + 24)