 151
Factor 3*f**3 + 135918276*f**2 + 271836543*f + 135918270.
3*(f + 1)**2*(f + 45306090)
Factor 2*k**4/7 + 1299952*k**3/7 + 211231800368*k**2/7 - 844942800960*k/7 + 844948000800/7.
2*(k - 2)**2*(k + 324990)**2/7
Find b, given that -2*b**3/13 + 5612*b**2/13 - 27842*b/13 - 470568/13 = 0.
-7, 12, 2801
Let 198025*j**4/6 + 194020*j**3 - 764813*j**2/3 + 28764*j - 1701/2 = 0. Calculate j.
-7, 27/445, 1
Solve -27*f**2/4 + 357623319*f/4 - 9933981 = 0 for f.
1/9, 13245308
Let -j**4/7 + 162*j**3/7 + 17615*j**2/7 - 35712*j/7 + 17936/7 = 0. Calculate j.
-76, 1, 236
Let 4*s**4 + 34663492*s**3 + 623941884*s**2 + 2807737020*s = 0. Calculate s.
-8665855, -9, 0
Suppose -4*a**4 + 3688*a**3 - 131052*a**2 - 2938552*a + 6371872 = 0. What is a?
-17, 2, 53, 884
Determine t so that -2*t**2/7 + 442636*t/7 - 885264/7 = 0.
2, 221316
Factor 3*c**2 + 5174442*c + 5174439.
3*(c + 1)*(c + 1724813)
Solve -s**4/2 - 312332*s**3 - 48776263772*s**2 - 195101307120*s - 195100057800 = 0 for s.
-312330, -2
Factor q**3 - 6634*q**2 - 240085*q - 233450.
(q - 6670)*(q + 1)*(q + 35)
Factor 5*c**3 - 132*c**2 + 988*c - 1488.
(c - 12)*(c - 2)*(5*c - 62)
Determine p, given that p**4 - 1356297*p**3 + 1356256*p**2 + 54251952*p - 151905152 = 0.
-7, 4, 1356296
Factor 2*f**4/11 - 6262*f**3/11 + 6811770*f**2/11 - 2837411650*f/11 + 287641863500/11.
2*(f - 995)**3*(f - 146)/11
Find n, given that -2*n**2/9 - 8386768*n/3 + 8386770 = 0.
-12580155, 3
Solve -2*l**4/3 + 1342*l**3 - 645328*l**2/3 + 1242488*l = 0 for l.
0, 6, 169, 1838
Factor 2*m**2/3 + 12826*m/3 + 2219660/3.
2*(m + 178)*(m + 6235)/3
Let -26*d**4/3 + 4900*d**3/3 - 75056*d**2/3 + 82752*d - 33024 = 0. What is d?
6/13, 4, 12, 172
Find a such that 78*a**5/7 + 18784*a**4/7 + 34010*a**3/7 + 17216*a**2/7 + 1912*a/7 = 0.
-239, -1, -2/3, -2/13, 0
Factor -5*q**2 + 71819945*q + 71819950.
-5*(q - 14363990)*(q + 1)
Factor -o**2 - 271629*o + 5432980.
-(o - 20)*(o + 271649)
Determine n, given that 2*n**4/9 - 40312*n**3/9 + 10305602*n**2/9 + 2308052*n = 0.
-2, 0, 261, 19897
Solve 3*x**3/7 - 7524045*x**2/7 + 673935428475*x + 10109273272875 = 0 for x.
-15, 1254015
Determine t so that -5*t**3 + 2790*t**2 - 59655*t - 1000450 = 0.
-11, 34, 535
Suppose -100*d**4 - 1176456820*d**3 + 941165504*d**2 - 188233104*d = 0. Calculate d.
-11764569, 0, 2/5
Factor -4*b**3/5 + 13811716*b**2/5 + 27623448*b/5.
-4*b*(b - 3452931)*(b + 2)/5
Let 2*x**2/11 - 46124*x/11 - 1894446/11 = 0. Calculate x.
-41, 23103
Let 23*c**3 + 6048730*c**2/11 + 36153366796*c/11 + 857388696/11 = 0. What is c?
-11954, -6/253
Factor -5*z**2 + 9080*z + 16078180.
-5*(z - 2918)*(z + 1102)
Suppose -c**2 - 2288*c + 8097753 = 0. Calculate c.
-4211, 1923
Let 2*u**5 - 2378*u**4 - 98294*u**3 - 48046*u**2 + 19835388*u - 71675280 = 0. Calculate u.
-27, 4, 10, 1229
Factor -3*r**2 + 487107*r - 7305930.
-3*(r - 162354)*(r - 15)
Determine d, given that 2*d**3/5 - 41768*d**2/5 + 3082618*d/5 - 11395556 = 0.
37, 20810
Let -3*k**2 + 2076*k - 99840 = 0. What is k?
52, 640
Factor -2*r**3/7 + 8724*r**2/7 + 3120078*r/7 - 4847579648.
-2*(r - 3077)**2*(r + 1792)/7
Factor 5*h**3 - 2463245*h**2 + 12316130*h - 14779320.
5*(h - 492644)*(h - 3)*(h - 2)
Solve s**3/4 + 245424*s**2 + 9816885*s/4 + 12271075/2 = 0.
-981686, -5
Factor 2*c**3/7 - 2604956*c**2/7 + 848214050322*c/7 + 6785879120784/7.
2*(c - 651243)**2*(c + 8)/7
Find v, given that -2*v**3 + 1282*v**2 + 193538*v - 194818 = 0.
-127, 1, 767
Suppose 4*n**4 - 1041*n**3 + 45696*n**2 + 917681*n - 232260 = 0. What is n?
-15, 1/4, 79, 196
Determine k so that k**5/2 + 271*k**4 + 48161*k**3/2 + 68744*k**2 - 93096*k = 0.
-431, -108, -4, 0, 1
Determine c, given that 28*c**5 - 4531*c**4/3 - 6502*c**3 - 15761*c**2/3 - 290*c = 0.
-3, -1, -5/84, 0, 58
Factor 2*k**3/13 + 2578*k**2 - 3569338*k/13 + 94736334/13.
2*(k - 53)**2*(k + 16863)/13
Find p such that p**5/2 + 687*p**4/2 + 61703*p**3 + 1051449*p**2 - 123407*p/2 - 2103585/2 = 0.
-363, -305, -19, -1, 1
Factor n**2/3 + 10807*n/3 + 1447534.
(n + 418)*(n + 10389)/3
Solve 3*p**4/2 + 987*p**3/2 + 54417*p**2/2 - 4720815*p/2 = 0 for p.
-187, 0, 45
What is d in 28*d**5 + 17072*d**4 - 9728272*d**3 - 16736768*d**2 + 5575680*d = 0?
-968, -2, 0, 2/7, 360
Suppose -8*j**5 - 1384*j**4 - 20490*j**3 - 61928*j**2 - 10390*j + 94200 = 0. Calculate j.
-157, -12, -5/2, 1
What is z in 3*z**3/2 - 7537977*z**2/2 + 2367543834360*z + 2367547603350 = 0?
-1, 1256330
What is p in -p**2 + 4763866*p - 5673604816489 = 0?
2381933
Suppose -2*s**4 - 404*s**3 + 29872*s**2 + 5187924*s - 296835822 = 0. Calculate s.
-173, 57, 87
Determine n so that 5*n**3 + 11505*n**2 + 4052895*n - 3197667605 = 0.
-1331, 361
Find x, given that -42*x**5/5 - 47126*x**4/5 - 12642994*x**3/5 + 323366982*x**2/5 - 1982921508*x/5 + 236396880 = 0.
-573, 2/3, 9, 100/7
Solve 2*z**5/17 - 82162*z**4/17 + 843454476*z**3/17 + 7595856340*z**2/17 + 19415230450*z/17 + 12662910750/17 = 0.
-5, -3, -1, 20545
Find t such that 4*t**2 + 599460*t - 155528464 = 0.
-150124, 259
Suppose 3*t**5 - 573*t**4 - 86679*t**3 - 2332371*t**2 + 7612368*t - 5192748 = 0. What is t?
-62, -47, 1, 2, 297
Factor -2*g**2 + 43200*g + 4950792.
-2*(g - 21714)*(g + 114)
Find q, given that 18*q**5/11 + 2074*q**4/11 + 20296*q**3/11 - 74216*q**2/11 - 17472*q/11 = 0.
-104, -14, -2/9, 0, 3
Factor 4*s**2 + 143162092*s/3 - 31813800.
4*(s + 11930175)*(3*s - 2)/3
Factor -l**2/5 - 8109*l/5 + 64936/5.
-(l - 8)*(l + 8117)/5
Let 455*q**2 + 4742455*q - 104230 = 0. Calculate q.
-10423, 2/91
Suppose -4*g**5/7 + 119232*g**4/7 - 895744376*g**3/7 + 107484219440*g**2/7 + 217656148956*g/7 + 109276065904/7 = 0. What is g?
-1, 124, 14843
Determine d so that d**3 - 360340*d**2 + 2162013*d - 3243006 = 0.
3, 360334
Suppose -l**4 - 54480*l**3 + 7153782*l**2 - 14144120*l + 7044819 = 0. Calculate l.
-54611, 1, 129
Solve 2*i**4/15 - 9464*i**3/15 - 247126*i**2/15 - 459788*i/5 - 723216/5 = 0.
-19, -4, -3, 4758
Solve k**5/10 - 117*k**4/5 + 89*k**3 + 15730*k**2 + 310989*k/10 + 77407/5 = 0.
-22, -1, 31, 227
Determine t so that -21*t**5/2 + 7515*t**4/8 - 4884*t**3 + 43425*t**2/8 - 843*t - 630 = 0.
-1/4, 5/7, 1, 4, 84
Suppose t**2/11 + 4732*t/11 - 1188069/11 = 0. What is t?
-4971, 239
Find w such that 2*w**4/11 - 785822*w**3/11 + 77200134464*w**2/11 - 2083830805656*w/11 = 0.
0, 27, 196442
Factor 4*i**3 - 11224*i**2 - 886004*i - 5650680.
4*(i - 2883)*(i + 7)*(i + 70)
Find g such that -2*g**4/5 - 300288*g**3/5 - 900828*g**2/5 + 2702528*g/5 - 300282 = 0.
-150141, -5, 1
Suppose 2*p**5/3 - 5912*p**4 - 106600*p**3 - 852964*p**2/3 - 272494*p - 88860 = 0. What is p?
-15, -1, 8886
Solve 4*h**2 - 20988*h - 24669616 = 0 for h.
-989, 6236
Factor -5*p**2 + 111003915*p + 222007850.
-5*(p - 22200785)*(p + 2)
Let -2*a**4/9 + 119872*a**3/9 + 2119126*a**2/3 + 87342632*a/9 + 81105128/9 = 0. Calculate a.
-26, -1, 59989
What is w in 98*w**5/5 - 486906*w**4/5 - 13008162*w**3/5 + 5902786*w**2/5 + 6513264*w/5 + 215784 = 0?
-27, -2/7, 1, 4995
Find d, given that -d**5/2 - 6021*d**4/2 + 346628*d**3 + 349638*d**2 = 0.
-6134, -1, 0, 114
Factor -2*b**2/13 - 2463332*b/13.
-2*b*(b + 1231666)/13
Find u, given that -2304*u**4 - 5674944*u**3 - 3500135332*u**2 - 6983255048*u - 3488792356 = 0.
-29533/24, -1
Factor 3979*g**3 - 114125676*g**2 + 818338116735*g + 411328562.
(g - 14341)**2*(3979*g + 2)
Find a, given that -a**4 + 7374*a**3 - 2175709*a**2 - 4373544*a - 2190460 = 0.
-1, 310, 7066
Factor 3*z**2/8 - 1206975*z/8 - 22331091/4.
3*(z - 402362)*(z + 37)/8
Suppose 3*a**2 + 1821900*a - 9109575 = 0. What is a?
-607305, 5
Factor -x**2/6 + 145385*x/6 + 96926.
-(x - 145389)*(x + 4)/6
Let -357061801574241*t**5/2 - 595102945935498*t**4 - 1110858560309401*t**3/2 - 158693957669607*t**2 + 50389530*t - 4 = 0. What is t?
-2, -2/3, 1/6298693
Let -9*h**4/4 + 276798*h**3 - 17026952147*h**2/2 + 28375946970*h - 94583927025/4 = 0. Calculate h.
5/3, 61509
What is l in 11*l**2/4 + 4428078*l + 805105 = 0?
-1610210, -2/11
Factor -3*j**2 + 114678*j + 134996301.
-3*(j - 39369)*(j + 1143)
Let 68*o**2/5 + 9362*o/5 - 9702 = 0. What is o?
-4851/34, 5
Factor -3*w**3/2 + 63087*w**2 + 883512*w.
-3*w*(w - 42072)*(w + 14)/2
Factor -s**2/4 - 37040583*s/2 - 1372004788979889/4.
-(s + 37040583)**2/4
Factor 3*o**4 - 50181*o**3 + 282722580*o**2 - 552510382704*o + 90125369487552.
3*(o - 5516)**3*(o - 179)
Determine w, given that -w**5 + 34268*w**4 - 34