35*k/2 + 156025/2.
(k - 395)**2*(k + 1)/2
Let 2*g**5 + 534*g**4 + 4154*g**3 + 2490*g**2 - 25900*g = 0. Calculate g.
-259, -5, 0, 2
What is p in -5*p**3/4 + 2355*p**2/2 = 0?
0, 942
Let -15*p**5 - 171*p**4 + 849*p**3 + 531*p**2 - 834*p - 360 = 0. What is p?
-15, -1, -2/5, 1, 4
Factor -w**2/2 + 247*w/2 + 1965.
-(w - 262)*(w + 15)/2
Determine f so that 2*f**3/19 - 20764*f**2/19 = 0.
0, 10382
Suppose -q**3/2 + 61553*q**2 - 3788771809*q/2 = 0. What is q?
0, 61553
Suppose -15*z**5 - 224*z**4 - 743*z**3 + 114*z**2 + 1388*z - 520 = 0. Calculate z.
-10, -13/3, -2, 2/5, 1
Factor -n**2/8 - 12625*n/4 - 159390625/8.
-(n + 12625)**2/8
Let -2*u**3 - 2658*u**2 - 930240*u - 30881384 = 0. What is u?
-646, -37
Factor c**4 - 16*c**3 - 81*c**2 + 484*c - 532.
(c - 19)*(c - 2)**2*(c + 7)
Factor c**3/3 + 4*c**2/3 - 220*c/3 - 448/3.
(c - 14)*(c + 2)*(c + 16)/3
Determine i so that 4*i**3 - 3620*i**2 + 824428*i - 2440812 = 0.
3, 451
Factor u**2/6 + 24773*u/3 - 49549/2.
(u - 3)*(u + 49549)/6
Let 2*p**3/3 - 5414*p**2/3 + 1222210*p - 1220406 = 0. Calculate p.
1, 1353
Solve -2*d**4 + 129464*d**3 - 2094468492*d**2 - 20954395720*d - 52394082050 = 0.
-5, 32371
Find v such that -2*v**3 - 2258*v**2 - 636190*v + 638450 = 0.
-565, 1
Find t such that 732*t**3 - 12814*t**2 - 6518*t + 36 = 0.
-1/2, 1/183, 18
Determine i so that 4*i**4 - 588*i**3 + 12776*i**2 - 23232*i = 0.
0, 2, 24, 121
Factor -b**2/4 + 1711*b/4 + 2571/2.
-(b - 1714)*(b + 3)/4
Solve -4*g**4 - 73096*g**3 - 333939076*g**2 = 0.
-9137, 0
Solve -5*d**3 - 2565*d**2 - 431355*d - 23866075 = 0.
-215, -149
Factor s**3/11 + 74*s**2/11 + 145*s/11 + 72/11.
(s + 1)**2*(s + 72)/11
Factor -b**3/4 + 5685*b**2/2 - 5684*b.
-b*(b - 11368)*(b - 2)/4
What is u in 2*u**3 - 1134*u**2 + 140400*u - 5001048 = 0?
78, 411
Factor 5*s**4 - 1945*s**3 - 3905*s**2 - 1955*s.
5*s*(s - 391)*(s + 1)**2
Let -y**3/3 - 593*y**2/3 - 88795*y/3 - 87025 = 0. What is y?
-295, -3
Suppose -2*w**3/19 + 484*w**2/19 - 478*w/19 - 964/19 = 0. What is w?
-1, 2, 241
Factor j**2 + 142*j - 143.
(j - 1)*(j + 143)
Let s**3 + 16777*s**2 + 70324971*s - 352044405 = 0. Calculate s.
-8391, 5
Solve 2*d**5/13 - 100*d**4/13 + 90*d**3/13 + 400*d**2/13 - 392*d/13 = 0 for d.
-2, 0, 1, 2, 49
Suppose 4*q**4 - 352*q**3 - 4316*q**2 - 3960*q = 0. What is q?
-10, -1, 0, 99
Find p, given that -3*p**3 - 1611*p**2 + 125652*p + 127260 = 0.
-606, -1, 70
Factor -z**2/4 - 399439*z - 159551514721.
-(z + 798878)**2/4
Let -58*m**5/7 + 14176*m**4/7 + 8354*m**3/7 - 840*m**2 = 0. What is m?
-1, 0, 12/29, 245
Suppose 5*l**3 - 1700*l**2 - 8745*l + 41400 = 0. Calculate l.
-8, 3, 345
Determine s, given that 3*s**4 + 129*s**3 - 8412*s**2 - 17316*s = 0.
-78, -2, 0, 37
Determine u so that -2*u**4/5 + 1102102*u**3/5 - 40487774226*u**2 + 12395129637479842*u/5 - 24789449528291948/5 = 0.
2, 183683
Solve -2*a**4/5 + 122*a**3/5 - 1218*a**2/5 + 2078*a/5 - 196 = 0 for a.
1, 10, 49
Suppose 2*q**2/5 - 214304*q/5 - 857248/5 = 0. What is q?
-4, 107156
What is m in 38*m**4/15 - 706*m**3/3 - 37174*m**2/5 - 775918*m/15 - 80444/15 = 0?
-13, -2/19, 119
Factor -2*a**4 - 1404*a**3 + 304438*a**2 + 193344840*a - 37928088200.
-2*(a - 235)**2*(a + 586)**2
Let 14*x**4/17 - 258*x**3/17 - 186*x**2 + 3298*x + 3468 = 0. What is x?
-102/7, -1, 17
What is x in 2*x**2/13 + 1018*x/13 - 21160/13 = 0?
-529, 20
Find l such that -15*l**4/2 - 6408*l**3 - 1823715*l**2 - 172521900*l + 208342125/2 = 0.
-285, 3/5
Determine r so that -9*r**4 - 296*r**3 - 2118*r**2 + 2696*r - 273 = 0.
-21, -13, 1/9, 1
Find m such that -2*m**4 + 7246*m**3 + 150*m**2 - 542950*m - 1811500 = 0.
-5, 10, 3623
Let -3*l**2 + 115998*l - 1121294667 = 0. What is l?
19333
Find x such that 3*x**2/8 + 710667*x/4 + 168349194963/8 = 0.
-236889
Factor -d**3/3 + 422*d**2/3 + 9791*d/3 - 3404.
-(d - 444)*(d - 1)*(d + 23)/3
Solve 16*z**3/7 - 7932*z**2/7 + 982080*z/7 + 246016/7 = 0 for z.
-1/4, 248
Factor -2*f**3/3 - 1564*f**2/3 + 9470*f/3 + 11032/3.
-2*(f - 7)*(f + 1)*(f + 788)/3
Suppose -4*i**2 + 77808*i - 378380304 = 0. Calculate i.
9726
Factor q**4 - 4688*q**3 + 5470846*q**2 + 55060560*q + 137945025.
(q - 2349)**2*(q + 5)**2
Suppose -3*k**2 + 7407*k - 59064 = 0. What is k?
8, 2461
Suppose 2*v**3/3 + 90*v**2 + 7894*v/3 + 2542 = 0. Calculate v.
-93, -41, -1
Solve k**3/2 - 35*k**2 + 1523*k/2 - 5083 = 0.
13, 23, 34
Let 3*o**4 - 894*o**3 = 0. Calculate o.
0, 298
Factor -5*g**2 + 10415*g - 10410.
-5*(g - 2082)*(g - 1)
Factor -5*r**2 - 62750*r + 62755.
-5*(r - 1)*(r + 12551)
Suppose -4*t**2 + 172*t + 14792 = 0. Calculate t.
-43, 86
Find z such that 2457*z**2 - 2455*z - 2 = 0.
-2/2457, 1
Suppose -i**5 + 1723*i**4 - 8596*i**3 + 10308*i**2 = 0. Calculate i.
0, 2, 3, 1718
Factor 2*h**2/9 + 1112*h/9 + 14392/3.
2*(h + 42)*(h + 514)/9
Find v, given that -27*v**4 + 1638*v**3 - 23727*v**2 - 33852*v - 11532 = 0.
-2/3, 31
Factor -a**3/4 + 369*a**2/4 + 1143*a.
-a*(a - 381)*(a + 12)/4
Suppose -2*v**4 - 222*v**3 - 1048*v**2 + 1272*v = 0. Calculate v.
-106, -6, 0, 1
Suppose -4*o**5/3 - 3484*o**4/9 + 49720*o**3/9 - 42560*o**2/9 - 370048*o/9 - 38912/3 = 0. What is o?
-304, -2, -1/3, 4, 12
Determine a so that 3*a**2/5 - 161817*a/5 + 291222 = 0.
9, 53930
Determine t, given that -2*t**4/5 - 226*t**3/5 + 6952*t**2/5 + 7176*t/5 = 0.
-138, -1, 0, 26
Find f, given that -f**2/2 - 3*f/2 + 77 = 0.
-14, 11
Let 5*d**2/2 + 6010*d = 0. What is d?
-2404, 0
Let -2*k**4 + 667628*k**3 - 55715893298*k**2 = 0. What is k?
0, 166907
Determine w so that 3*w**5 - 177*w**4 + 2955*w**3 - 8667*w**2 - 30618*w = 0.
-2, 0, 7, 27
Factor -2*v**3/17 - 620*v**2/17.
-2*v**2*(v + 310)/17
Let 3*t**5 - 21*t**4 + 36*t**3 = 0. What is t?
0, 3, 4
Factor -2*u**2 - 5086*u - 446264.
-2*(u + 91)*(u + 2452)
Determine t, given that -242*t**3/7 - 150898*t**2/7 - 23294960*t/7 + 71249496/7 = 0.
-3446/11, 3
Factor -5*w**3 - 1085*w**2 + 15925*w - 56595.
-5*(w - 7)**2*(w + 231)
Solve -3*w**4 - 25056*w**3 - 52541946*w**2 - 939675168*w - 4219425027 = 0 for w.
-4167, -9
Let 18*h**4/5 + 732*h**3/5 + 4154*h**2/5 + 2528*h/5 + 408/5 = 0. Calculate h.
-34, -6, -1/3
Let -4*x**4 - 424*x**3 + 7008*x**2 - 30296*x + 23716 = 0. Calculate x.
-121, 1, 7
Factor 5*k**3 + 1293965*k**2.
5*k**2*(k + 258793)
Let 108*f**5 - 5472*f**4 - 33585*f**3 + 73935*f**2 + 27342*f + 2352 = 0. Calculate f.
-7, -1/6, 2, 56
Suppose 2*k**4/11 + 1258*k**3/11 + 160570*k**2/11 - 1101926*k + 3171300 = 0. Calculate k.
-341, 3, 50
Factor -3*w**2/7 - 860904*w/7 - 1721796/7.
-3*(w + 2)*(w + 286966)/7
Factor -5*d**3 + 235*d**2 - 2750*d.
-5*d*(d - 25)*(d - 22)
Let 2*p**4/7 - 4898*p**3/7 + 9782*p**2/7 + 14682*p/7 = 0. What is p?
-1, 0, 3, 2447
Factor s**4/3 - 232*s**3 + 59699*s**2/3 - 19668*s.
s*(s - 596)*(s - 99)*(s - 1)/3
Factor 3*j**2 + 46194*j + 177823803.
3*(j + 7699)**2
Suppose 2*c**4/5 - 156*c**3/5 + 3832*c**2/5 - 32976*c/5 + 10368 = 0. Calculate c.
2, 18, 40
Factor -2*u**3 - 5808*u**2 - 183742*u + 189552.
-2*(u - 1)*(u + 33)*(u + 2872)
Let 4*o**2 - 31408*o - 125696 = 0. Calculate o.
-4, 7856
Solve -5*t**5/2 - 181*t**4 - 5329*t**3/2 + 24898*t**2 + 71214*t + 24336 = 0.
-39, -2, -2/5, 8
Let -2*k**4 + 5736*k**3 - 5730*k**2 - 11468*k = 0. What is k?
-1, 0, 2, 2867
Find a such that 2*a**4/13 - 80*a**3/13 + 226*a**2/13 - 148*a/13 = 0.
0, 1, 2, 37
Factor -o**2/4 - 3931*o - 15452761.
-(o + 7862)**2/4
Factor 2*m**2/5 - 198*m/5 + 884.
2*(m - 65)*(m - 34)/5
Factor 31205*w**5 - 251220*w**4 + 511940*w**3 - 25440*w**2 + 320*w.
5*w*(w - 4)**2*(79*w - 2)**2
Find n such that -2*n**2 + 106*n + 220 = 0.
-2, 55
Suppose -3*a**4 - 66*a**3 + 8796*a**2 - 17070*a - 25929 = 0. What is a?
-67, -1, 3, 43
Factor 2*o**3/3 + 57542*o**2/3 + 115060*o.
2*o*(o + 6)*(o + 28765)/3
Factor -f**5 - 108*f**4 - 1365*f**3 - 4606*f**2.
-f**2*(f + 7)**2*(f + 94)
Determine u, given that u**2 - 105994*u + 105993 = 0.
1, 105993
Suppose -9*r**3/8 + 321*r**2/2 + 435*r/8 - 429/4 = 0. What is r?
-1, 2/3, 143
Factor -5*j**4 - 1150*j**3 + 20*j**2 + 4600*j.
-5*j*(j - 2)*(j + 2)*(j + 230)
Let 492*z**2 + 29024*z - 236 = 0. Calculate z.
-59, 1/123
Find z such that 2*z**4/13 + 5634*z**3/13 - 50820*z**2/13 + 10432*z - 90432/13 = 0.
-2826, 1, 4
Determine r, given that r**2/2 + 7292*r + 26586632 = 0.
-7292
Let a**4/7 - 193*a**3/7 + 2522*a**2/7 + 26212*a/7 + 23496/7 = 0. Calculate a.
-6, -1, 22, 178
Factor -2*r**2/3 + 3076*r/3 + 139216/3.
-2*(r - 1582)*(r + 44)/3