35230)**2/2
Factor 3*f**2/4 + 22845*f/2 + 1777347/4.
3*(f + 39)*(f + 15191)/4
Find n, given that 2*n**2/9 - 8068*n/9 - 7633150/9 = 0.
-791, 4825
Find x, given that -2*x**5/7 - 1804*x**4/7 - 585554*x**3/7 - 11516736*x**2 - 570576384*x = 0.
-304, -147, 0
Factor 2*d**2 + 7280248*d + 6625251367688.
2*(d + 1820062)**2
Suppose 2*a**4 + 2532*a**3 - 912990*a**2 + 910456*a = 0. Calculate a.
-1559, 0, 1, 292
Solve -y**3/2 + 47183*y**2/2 - 377407*y/2 + 330225/2 = 0.
1, 7, 47175
Find o, given that o**2/6 - 2090493*o/2 - 3135740/3 = 0.
-1, 6271480
Solve -2*b**3/3 + 145114*b**2/3 - 1112188*b = 0.
0, 23, 72534
Factor 2*k**3/13 - 10636*k**2/13 + 14443960*k/13 - 802360400/13.
2*(k - 2630)**2*(k - 58)/13
Suppose -2*z**5 - 150558*z**4 - 2833238070*z**3 + 8501069278*z**2 - 602256*z - 11334759048 = 0. What is z?
-37641, -1, 2
Solve -3*z**2/2 - 5373915*z - 10747827/2 = 0 for z.
-3582609, -1
Factor -22004978*x**3 + 27990809664*x**2 - 607570848*x + 3297024.
-2*(x - 1272)*(3317*x - 36)**2
Factor -4*t**3 - 408233132*t**2 - 10415892516558364*t + 31247681223773388.
-4*(t - 3)*(t + 51029143)**2
What is n in -4*n**4/5 + 1404*n**3/5 + 49924*n**2/5 + 294276*n/5 - 69120 = 0?
-25, -9, 1, 384
Solve 12*z**5 - 81296*z**4 - 39763900*z**3 - 4805847600*z**2 - 24577294000*z - 7659920000 = 0 for z.
-230, -5, -1/3, 7240
Factor -2*y**2/17 - 645611676*y/17 - 52101804523441122/17.
-2*(y + 161402919)**2/17
Factor -i**2/8 - 1975*i/4 + 28042.
-(i - 56)*(i + 4006)/8
Factor -4*c**2 - 11240*c - 344596.
-4*(c + 31)*(c + 2779)
Let 4*a**2 + 404800*a - 19034436 = 0. Calculate a.
-101247, 47
Find a, given that 359*a**4 - 71*a**3 - 4233*a**2 - 6817*a - 3014 = 0.
-2, -1, 1507/359
Find n, given that 2*n**2 - 15317038*n - 15317040 = 0.
-1, 7658520
Determine r, given that -685*r**2/6 + 3326703*r - 29139/2 = 0.
3/685, 29139
Factor 4*v**3 - 1404*v**2 + 28892*v + 14357340.
4*(v - 279)*(v - 155)*(v + 83)
Determine k, given that k**2/11 + 330893*k/11 - 1323588/11 = 0.
-330897, 4
Let -2*o**2/7 - 61720*o/7 - 61706 = 0. What is o?
-30853, -7
Factor c**2 - 2501876*c/3 + 13065107.
(c - 833943)*(3*c - 47)/3
Let -p**3 - 121103*p**2 - 3660482203*p + 363575638899 = 0. What is p?
-60601, 99
Solve 65*d**2 + 196730*d + 317625 = 0.
-3025, -21/13
Factor -4*o**2 - 125336688*o - 125336684.
-4*(o + 1)*(o + 31334171)
Factor -2*k**2/13 - 2120280*k/13 - 561948409800/13.
-2*(k + 530070)**2/13
Factor -x**2/8 + 352*x + 25992.
-(x - 2888)*(x + 72)/8
Find b such that -b**3/2 + 437*b**2/2 + 55072*b - 691464 = 0.
-188, 12, 613
Factor 27*s**4 + 213930*s**3 + 374239911*s**2 - 196180798380*s + 22705620616812.
3*(s + 4181)**2*(3*s - 658)**2
Find v such that 4*v**5 + 608*v**4 + 18024*v**3 + 117712*v**2 + 260372*v + 160080 = 0.
-115, -29, -4, -3, -1
Determine w so that 3*w**5/5 - 3381*w**4 + 453633*w**3/5 + 3449613*w**2/5 - 3886344*w/5 = 0.
-7, 0, 1, 33, 5608
Solve 7*i**5/2 + 4397*i**4 + 115513*i**3/2 - 53563*i**2 - 141730*i - 34804 = 0 for i.
-1243, -14, -1, -2/7, 2
Factor -4*g**2 - 15000984*g - 14064345060516.
-4*(g + 1875123)**2
Factor -3*v**3 - 228213*v**2 + 1369362*v - 1825848.
-3*(v - 4)*(v - 2)*(v + 76077)
Solve -4*l**5/5 - 68456*l**4/5 - 367994036*l**3/5 - 593356209616*l**2/5 + 1187816675184*l/5 - 594092403072/5 = 0.
-7074, -2968, 1
Suppose -16*n**3/11 + 116194*n**2/11 - 211540840*n/11 + 2129955912/11 = 0. Calculate n.
81/8, 3626
Determine x, given that -2*x**4/5 - 390034*x**3/5 - 1170088*x**2/5 - 780056*x/5 = 0.
-195014, -2, -1, 0
Factor a**2/4 - 369268*a + 136358855824.
(a - 738536)**2/4
Suppose 14*a**2/9 + 45310*a/9 - 84292/3 = 0. What is a?
-3242, 39/7
Factor y**3 + 564599*y**2 + 11856158*y + 11291560.
(y + 1)*(y + 20)*(y + 564578)
What is k in -4*k**4/5 - 9156*k**3/5 - 54788*k**2/5 + 9252*k/5 + 54792 = 0?
-2283, -5, -3, 2
Determine f so that -80368*f**3 + 14305516*f**2 - 636597064*f + 95052 = 0.
3/20092, 89
Factor a**3 - 234335*a**2 - 8437032*a - 75936204.
(a - 234371)*(a + 18)**2
Suppose -s**3/2 + 22511*s**2/2 - 1613016*s + 57975264 = 0. What is s?
72, 22367
What is k in -3325*k**4 + 156270*k**3 - 289040*k**2 - 449310*k - 675 = 0?
-1, -1/665, 3, 45
Factor 2*w**2/13 - 230968*w/13 - 1616874/13.
2*(w - 115491)*(w + 7)/13
Solve f**3 - 1686*f**2 + 617288*f - 2442240 = 0 for f.
4, 530, 1152
Factor -28*q**2 + 49116*q + 1440664.
-4*(q - 1783)*(7*q + 202)
What is n in 2*n**5/5 - 294*n**4 + 37052*n**3/5 - 130632*n**2/5 + 124784*n/5 = 0?
0, 2, 22, 709
Let 4*t**2 + 3799124*t - 383752328 = 0. What is t?
-949882, 101
Factor -340736*m**5 - 47137728*m**4 + 274031472*m**3 - 521497300*m**2 + 329349312*m.
-4*m*(m + 144)*(44*m - 83)**3
Factor -3*w**2 + 155316*w + 6839712.
-3*(w - 51816)*(w + 44)
Factor 3890*a**2/17 + 4014804*a/17 + 334368/17.
2*(a + 1032)*(1945*a + 162)/17
Factor 114697*c**4/5 + 1376322*c**3/5 + 5504952*c**2/5 + 7338592*c/5 - 2688/5.
(c + 4)**3*(114697*c - 42)/5
Determine b so that b**5 - 64*b**4/3 + 208*b**3/3 + 2026*b**2/3 - 4915*b/3 - 7150 = 0.
-11/3, -3, 5, 10, 13
Suppose -l**5/6 - 392*l**4/3 - 6178*l**3/3 - 26152*l**2/3 - 10240*l = 0. Calculate l.
-768, -10, -4, -2, 0
Suppose -52*w**5 - 6116*w**4 + 65220*w**3 + 414020*w**2 + 252352*w - 725424 = 0. What is w?
-127, -3, -34/13, 1, 14
Solve 2*d**4/5 - 648*d**3/5 - 15666*d**2 + 16431496*d/5 - 3270504 = 0.
-174, 1, 127, 370
Determine w so that w**3/4 + 521*w**2/4 + 11723*w/2 - 12246 = 0.
-471, -52, 2
Solve 15*d**3/8 - 1167*d**2 - 158187*d/8 - 147609/2 = 0 for d.
-11, -28/5, 639
Determine o, given that o**5/3 - 2060*o**4/3 - 1173661*o**3/3 - 1171600*o**2/3 = 0.
-464, -1, 0, 2525
Factor 25368*t**3 - 532719*t**2 - 189*t.
3*t*(t - 21)*(8456*t + 3)
Suppose -5*d**3 + 62860*d**2 + 27194735*d + 2892529370 = 0. Calculate d.
-211, 12994
Factor 6*k**3 - 48173301*k**2/2 + 24173610835383*k + 12086808428523/2.
3*(k - 2007221)**2*(4*k + 1)/2
Find u, given that -4*u**3 + 300*u**2 + 21256*u - 1517760 = 0.
-72, 62, 85
Solve 4*l**5/7 + 55836*l**4/7 + 197806128*l**3/7 + 2932135952*l**2 - 20722813632*l/7 = 0.
-6926, -108, 0, 1
Let 3*s**4/2 - 204*s**3 - 1671*s**2/2 - 630*s = 0. Calculate s.
-3, -1, 0, 140
Find y, given that -52*y**2 - 2582480*y - 198652 = 0.
-49663, -1/13
Let -i**4/5 + 374*i**3/5 - 5197*i**2 + 24140*i = 0. What is i?
0, 5, 85, 284
Solve 2*j**2/9 + 8464202*j/9 + 2821400/3 = 0.
-4232100, -1
Suppose -o**5/2 - 140581*o**4/2 + 1405897*o**3/2 - 1827743*o**2/2 - 4217748*o - 2530638 = 0. What is o?
-140591, -1, 6
Factor 2*t**2 + 10321424*t + 20642840.
2*(t + 2)*(t + 5160710)
Factor -96*b**2/7 - 380*b - 17000/7.
-4*(b + 10)*(24*b + 425)/7
Solve -9*r**5/5 - 11859*r**4/5 + 51558*r**3/5 = 0.
-1322, 0, 13/3
Factor -62*a**2/9 + 6783958*a/9 + 729460/3.
-2*(a - 109419)*(31*a + 10)/9
Factor 3*a**5 - 25420*a**4 - 1175668*a**3.
a**3*(a + 46)*(3*a - 25558)
Determine q, given that -846*q**5/7 - 4240*q**4/7 - 4280*q**3/7 + 4180*q**2/7 + 5126*q/7 + 60/7 = 0.
-3, -2, -1, -5/423, 1
Let -2*w**5/7 + 19708*w**4/7 + 1985236*w**3/7 + 55355856*w**2/7 + 280663038*w/7 + 56541564 = 0. What is w?
-47, -3, 9954
Suppose -3*l**4/7 - 2865*l**3/7 - 130461*l**2/7 + 19047*l = 0. Calculate l.
-907, -49, 0, 1
Let -254*l**4 + 15241*l**3 - 163636*l**2 + 644*l = 0. What is l?
0, 1/254, 14, 46
Factor -23*q**2/3 - 21*q + 132.
-(q - 3)*(23*q + 132)/3
Factor 5*c**4 - 13552765*c**3 - 121975155*c**2 - 365925735*c - 365925870.
5*(c - 2710562)*(c + 3)**3
Factor -2*n**2 - 12498*n + 3874640.
-2*(n - 296)*(n + 6545)
Determine a, given that a**5/6 + 131*a**4/6 - 4168*a**3/3 + 14786*a**2 + 47088*a - 142560 = 0.
-180, -4, 2, 18, 33
Factor 3*q**4 + 2100*q**3 + 486354*q**2 + 41598900*q + 1177189443.
3*(q + 71)**2*(q + 279)**2
Factor 2*m**3/11 + 255330*m**2/11 - 510666*m/11 + 255334/11.
2*(m - 1)**2*(m + 127667)/11
Suppose -35*t**5/4 + 12297*t**4/2 - 40687*t**3/4 - 117887*t**2 + 83439*t - 14020 = 0. Calculate t.
-4, 2/7, 2/5, 5, 701
Suppose -3*z**5/2 + 2100*z**4 - 667482*z**3 - 671685*z**2 + 1334967*z/2 + 669585 = 0. What is z?
-1, 1, 490, 911
Find g such that 3*g**4 + 21648*g**3 + 49947807*g**2 + 35955604062*g = 0.
-2891, -1434, 0
What is h in 2*h**4 - 394*h**3 - 5898*h**2 - 2726*h + 129976 = 0?
-11, -7, 4, 211
Suppose k**2 - 15594516*k + 15594515 = 0. What is k?
1, 15594515
What is i in -2*i**5 + 4250*i**4 + 320530*i**3 + 932270*i**2 - 222731120*i - 446695144 = 0?
-47, -2, 23, 2198
Solve -2*o**3 - 1210*o**2 - 61284*o + 651024 = 0 for o.
-548