2, 22215
Solve 2*t**5/15 + 22*t**4/15 - 176*t**3/15 - 32*t**2/3 + 512*t/5 = 0.
-16, -3, 0, 4
What is a in -4*a**2/7 + 35860*a/7 + 10248 = 0?
-2, 8967
Find w, given that 2*w**4/3 + 12616*w**3/3 + 20021030*w**2/3 + 131876128*w + 125206656 = 0.
-3144, -19, -1
Solve -d**4/7 + 10*d**3 - 459*d**2/7 - 5490*d/7 = 0 for d.
-6, 0, 15, 61
Determine l, given that -2*l**2/11 + 178*l/11 - 516/11 = 0.
3, 86
Factor -2*q**4/7 + 424*q**3/7 - 1430*q**2 + 62868*q/7.
-2*q*(q - 186)*(q - 13)**2/7
Solve 6*m**5 - 507*m**4 - 783*m**3 + 768*m**2 + 516*m = 0 for m.
-2, -1/2, 0, 1, 86
Suppose 2*i**5 + 62*i**4 - 602*i**3 + 898*i**2 + 1560*i = 0. What is i?
-39, -1, 0, 4, 5
Suppose 3*y**5 + 268*y**4 - 732*y**3 + 368*y**2 = 0. Calculate y.
-92, 0, 2/3, 2
Solve 3*v**5/5 - 28*v**4 + 71*v**3 - 26*v**2 - 88*v/5 = 0 for v.
-1/3, 0, 1, 2, 44
Find h such that 4*h**2/9 + 6572*h/9 + 65320/9 = 0.
-1633, -10
Find g, given that 4*g**5 - 76*g**4 + 492*g**3 - 1220*g**2 + 800*g = 0.
0, 1, 5, 8
Factor -3*i**4 - 10986*i**3 - 10068660*i**2 - 20093400*i.
-3*i*(i + 2)*(i + 1830)**2
Determine h so that 3*h**4/5 - 105*h**3 + 4239*h**2 - 3927*h - 41358/5 = 0.
-1, 2, 61, 113
Factor a**3 - 125648*a**2 + 3947231893*a - 23678868246.
(a - 62821)**2*(a - 6)
Factor 4*z**3/5 + 21312*z**2/5 - 17072*z - 255936/5.
4*(z - 6)*(z + 2)*(z + 5332)/5
Let -2*c**5 - 16452*c**4 - 164376*c**3 - 460108*c**2 - 98502*c + 739440 = 0. Calculate c.
-8216, -5, -3, 1
Determine v so that -25*v**4 + 28770*v**3 - 223029*v**2 + 164620*v - 32004 = 0.
2/5, 7, 1143
Determine i, given that 4*i**2/3 - 6172*i/3 - 4120 = 0.
-2, 1545
Solve -k**2/10 + 917*k/10 - 1353 = 0.
15, 902
Suppose -j**3/5 - 11422*j**2 + 114227*j/5 + 171336/5 = 0. Calculate j.
-57112, -1, 3
What is d in -49*d**4/2 - 2345*d**3 + 6327*d**2/2 + 10530*d + 5238 = 0?
-97, -6/7, 3
Find k such that 2*k**4/9 + 776*k**3/9 - 4012*k**2/3 + 21736*k/9 - 10478/9 = 0.
-403, 1, 13
Suppose 2*j**3/15 + 22268*j**2/15 - 4454*j/3 = 0. Calculate j.
-11135, 0, 1
Factor 30*f**3 + 256195*f**2 + 546944300*f - 91164500.
5*(f + 4270)**2*(6*f - 1)
What is g in 3*g**3/4 + 675*g**2 + 521631*g/4 - 19961367/2 = 0?
-479, 58
Solve 5*z**5/7 + 108*z**4/7 - 169*z**3/7 - 180*z**2/7 + 92*z/7 = 0 for z.
-23, -1, 0, 2/5, 2
Solve 5*j**2 - 3922830*j + 769429760445 = 0 for j.
392283
Determine p, given that p**3/4 + 633*p**2/2 + 403209*p/4 + 398161 = 0.
-631, -4
Suppose -h**4 + 234*h**3 + h**2 - 234*h = 0. Calculate h.
-1, 0, 1, 234
Factor -5*p**3 + 20*p**2/3 + 595*p/3.
-5*p*(p - 7)*(3*p + 17)/3
Factor 3*v**3 - 22920*v**2 + 43937199*v - 610636698.
3*(v - 3813)**2*(v - 14)
Suppose 5*k**4/2 - 3397*k**3 + 46518*k**2 - 155323*k - 65905/2 = 0. Calculate k.
-1/5, 7, 1345
Suppose -2*v**3/17 - 46924*v**2/17 - 16173586*v + 3306172056/17 = 0. Calculate v.
-11737, 12
Factor a**3/3 + 6599*a**2 - 13199*a + 19799/3.
(a - 1)**2*(a + 19799)/3
Solve -18*f**2 - 31522*f - 69960 = 0.
-1749, -20/9
Factor q**5 - 88*q**4 + 2562*q**3 - 25344*q**2 + 22869*q.
q*(q - 33)**2*(q - 21)*(q - 1)
Factor -225*u**5/7 + 15*u**4/7 + 866*u**3/7 + 258*u**2/7 - 897*u/7 - 529/7.
-(u + 1)**3*(15*u - 23)**2/7
What is r in -60*r**4 - 368*r**3 + 5004*r**2 + 9728*r + 4416 = 0?
-12, -1, -4/5, 23/3
Factor 10*v**2/17 - 177638*v/17 - 35528/17.
2*(v - 17764)*(5*v + 1)/17
Let -2*t**3/3 + 18760*t**2/3 - 44029696*t/3 + 175818752/3 = 0. Calculate t.
4, 4688
Find a, given that a**2/5 + 57038*a + 4066666805 = 0.
-142595
Solve 6*o**4 - 2973*o**3 - 41118*o**2 - 56463*o - 18324 = 0.
-12, -1, -1/2, 509
Factor r**2/4 - 132*r + 1575/4.
(r - 525)*(r - 3)/4
Factor -2*w**3 - 9854*w**2 - 12162262*w - 60565210.
-2*(w + 5)*(w + 2461)**2
Suppose h**3/3 + 821*h**2/3 + 814*h/3 - 1640 = 0. Calculate h.
-820, -3, 2
Find h, given that 34*h**5/7 - 64*h**4/7 - 926*h**3/7 - 268*h**2 - 1160*h/7 - 16 = 0.
-2, -1, -2/17, 7
Find z such that z**3 + 1441*z**2 - 8673*z + 13023 = 0.
-1447, 3
Solve y**3 - 151*y**2 - 11537*y - 11385 = 0.
-55, -1, 207
Solve -3*z**2/8 + 31641*z/8 - 31629/2 = 0.
4, 10543
Find b, given that 8*b**4 - 552906*b**3 + 9553075308*b**2 + 7165117494*b = 0.
-3/4, 0, 34557
Determine v so that -4*v**4 - 21209*v**3 - 47702*v**2 - 10600*v = 0.
-5300, -2, -1/4, 0
Find l such that -4*l**3/3 + 21148*l**2/3 - 27941792*l/3 - 27962944/3 = 0.
-1, 2644
Determine k, given that 4*k**4 + 96*k**3 + 668*k**2 + 960*k - 1728 = 0.
-12, -9, -4, 1
Find s, given that -1225*s**4 - 9415*s**3 + 23516*s**2 + 184260*s - 197136 = 0.
-222/35, 1, 4
Let 2*l**4/23 - 422*l**3/23 + 24470*l**2/23 - 199386*l/23 - 2744280/23 = 0. Calculate l.
-7, 20, 99
What is k in 3*k**3 + 318*k**2 - 993*k - 1308 = 0?
-109, -1, 4
What is k in -15*k**5 + 530*k**4 - 2560*k**3 - 5610*k**2 - 1345*k + 1160 = 0?
-1, 1/3, 8, 29
What is r in -16*r**5/7 - 380*r**4/7 - 2384*r**3/7 - 1492*r**2/7 + 528*r/7 = 0?
-12, -11, -1, 0, 1/4
Factor -w**3/2 - 291*w**2 - 46368*w - 2245376.
-(w + 112)**2*(w + 358)/2
Factor 5*y**3/6 + 61*y**2/3 - 142*y - 60.
(y - 6)*(y + 30)*(5*y + 2)/6
Find m, given that -3*m**4 + 170*m**3 - 969*m**2 - 1542*m - 400 = 0.
-1, -1/3, 8, 50
Factor -75*s**4 + 50640*s**3 - 161472*s**2 + 129024*s.
-3*s*(s - 672)*(5*s - 8)**2
Suppose 3*a**3/2 - 171*a**2/2 + 45*a + 6600 = 0. Calculate a.
-8, 10, 55
Factor 2*q**4 + 9884*q**3 + 12221562*q**2 + 24413480*q + 12201800.
2*(q + 1)**2*(q + 2470)**2
Factor -4*x**3 - 7184*x**2 + 21580*x - 14392.
-4*(x - 2)*(x - 1)*(x + 1799)
Solve 117*y**2 - 408*y + 171 = 0 for y.
19/39, 3
Determine x, given that x**2/3 - 470*x/3 - 473 = 0.
-3, 473
Solve 10*s**4 - 132*s**3 - 13934*s**2 + 16872*s - 2816 = 0.
-32, 1/5, 1, 44
Factor 4*h**2/5 - 25868*h/5 + 3121248/5.
4*(h - 6344)*(h - 123)/5
Determine a, given that 183*a**3/4 + 10341*a**2 - 297117*a/4 - 4893/2 = 0.
-233, -2/61, 7
Suppose -10*h**4/9 + 343214*h**3/9 - 327313636*h**2 + 15898122376*h/9 - 5887939280/9 = 0. What is h?
2/5, 5, 17158
Let 15*y**4 + 35*y**3 - 200*y**2 - 620*y - 400 = 0. What is y?
-10/3, -2, -1, 4
Find c, given that 3*c**4 - 183*c**3 - 11940*c**2 + 285732*c - 522288 = 0.
-52, 2, 18, 93
Factor 4*a**3 + 204*a**2 + 1544*a - 22176.
4*(a - 7)*(a + 22)*(a + 36)
Factor -6241*v**4/6 - 21409*v**3/2 + 7980*v**2 - 4312*v/3.
-v*(v + 11)*(79*v - 28)**2/6
Determine b, given that 2*b**4 - 576*b**3 + 566*b**2 + 2304*b - 2296 = 0.
-2, 1, 2, 287
Solve 3*q**2 + 7578882*q + 4786621030827 = 0.
-1263147
Solve 4*x**2/5 + 343296*x/5 + 7365758976/5 = 0.
-42912
Determine w so that 2*w**5/13 + 22*w**4/13 - 98*w**3/13 - 1078*w**2/13 = 0.
-11, -7, 0, 7
Factor 135*q**4 - 8105*q**3 + 121800*q**2 - 4500*q.
5*q*(q - 30)**2*(27*q - 1)
Let p**3 + 583*p**2 + 105896*p + 5655920 = 0. What is p?
-244, -95
Suppose 22*i**4/17 + 92*i**3/17 - 842*i**2/17 + 1032*i/17 + 216/17 = 0. Calculate i.
-9, -2/11, 2, 3
Determine j so that 630*j**5/13 + 58*j**4/13 - 7964*j**3/13 + 7016*j**2/13 - 2032*j/13 + 192/13 = 0.
-4, 2/9, 2/7, 2/5, 3
Let -2*b**3/3 - 50620*b**2/9 - 1797742*b/9 + 67208 = 0. What is b?
-8401, -36, 1/3
Solve 2*w**5/9 + 70*w**4/9 + 572*w**3/9 - 716*w**2/9 - 574*w/9 + 646/9 = 0 for w.
-19, -17, -1, 1
Let 44982*r**5 - 376887*r**4 + 751566*r**3 + 161820*r**2 - 5400*r = 0. What is r?
-2/9, 0, 1/34, 30/7
Suppose 1369*r**2 + 3478*r + 2209 = 0. What is r?
-47/37
Factor -4*t**3 + 824*t**2 + 139004*t + 4511376.
-4*(t - 324)*(t + 59)**2
Factor -3*j**2 + 121902*j - 1238341467.
-3*(j - 20317)**2
What is u in 3*u**3 + 14826*u**2 - 29661*u + 14832 = 0?
-4944, 1
Find l such that -63*l**4/2 - 96843*l**3/2 - 308367*l**2/2 - 50613*l/2 + 6903 = 0.
-1534, -3, -1/3, 1/7
What is o in -7*o**2 + 5920*o + 13568 = 0?
-16/7, 848
Factor 605*f**2 + 13750*f + 78125.
5*(11*f + 125)**2
Factor 5*c**4 - 1599390*c**3 + 127902418605*c**2.
5*c**2*(c - 159939)**2
Find y, given that 2*y**4 - 2666*y**3 - 5340*y**2 = 0.
-2, 0, 1335
Factor -3*z**3/5 + 96666*z**2/5 - 778596288*z/5 - 1557579264/5.
-3*(z - 16112)**2*(z + 2)/5
Factor -4*x**2/7 - 29716*x/7 + 29720/7.
-4*(x - 1)*(x + 7430)/7
Factor -4*d**2 + 231116*d - 462216.
-4*(d - 57777)*(d - 2)
Let 3*k**4/5 - 93*k**3/5 + 612*k**2/5 - 1428*k/5 + 1104/5 = 0. Calculate k.
2, 4, 23
Solve -d**2 + 4214*d = 0 for d.
0, 4214
Factor -3*j**3 + 264*j**2 + 17823*j + 17556.
-3*(j - 133)*(j + 1)*(j + 44)
Solve -o**5/3 + 101*o**4/3 - 3139*o**3/3 + 8417*o**2 + 39144*o - 167580 = 0.
-5, 3, 19, 42
Find d, given that -d**4/12 + 19*d**3/3 + 247*d**2/12 - 23345*d/6 = 0.
-23, 0, 29