*n + 1330296 = 0. Calculate n.
-22/7, 15117
Find s, given that s**2/3 + 1043450*s + 816590926875 = 0.
-1565175
Determine r so that 5*r**2 - 7485*r + 29860 = 0.
4, 1493
Let -5*f**3 + 1080*f**2 - 18225*f + 80190 = 0. Calculate f.
9, 198
Let 2*w**5 + 40*w**4 - 354*w**3 - 14272*w**2 - 119240*w - 319200 = 0. What is w?
-12, -10, -7, 19
Let -l**3/3 + 2722*l**2/3 + 10900*l/3 + 10904/3 = 0. Calculate l.
-2, 2726
Factor 5*w**4 - 13500*w**3.
5*w**3*(w - 2700)
Suppose b**3 + 251*b**2 + 15104*b - 81920 = 0. Calculate b.
-128, 5
Factor 2*i**2 + 1862*i + 5568.
2*(i + 3)*(i + 928)
Let 3*x**2 - 3901*x - 73864 = 0. What is x?
-56/3, 1319
Suppose -284*z**5 - 652*z**4 - 452*z**3 - 84*z**2 = 0. What is z?
-1, -21/71, 0
Factor -3*b**3/4 + 6897*b**2/2 - 15856203*b/4.
-3*b*(b - 2299)**2/4
What is k in 2*k**2/13 + 1484*k/13 - 10486/13 = 0?
-749, 7
Factor -4*h**2/3 - 2668*h/3 + 69200/3.
-4*(h - 25)*(h + 692)/3
Solve 2*g**2 - 61184*g - 367176 = 0 for g.
-6, 30598
Let 2*n**2/7 - 436*n/7 + 870 = 0. Calculate n.
15, 203
Factor -2*i**4/5 + 5864*i**3 - 143384412*i**2/5 + 234431150248*i/5 - 2561432134514/5.
-2*(i - 4883)**3*(i - 11)/5
Let -5261738528*m**3 - 5261123024*m**2 + 615486*m - 18 = 0. What is m?
-1, 3/51292
Factor u**2/6 + 22*u - 288.
(u - 12)*(u + 144)/6
Let 2*g**5 + 272*g**4 - 650*g**3 - 13760*g**2 - 32712*g - 19872 = 0. What is g?
-138, -4, -2, -1, 9
Factor 4*u**4/7 + 64*u**3 + 1680*u**2.
4*u**2*(u + 42)*(u + 70)/7
Let d**5 - 125*d**4 + 2785*d**3 + 6205*d**2 - 2786*d - 6080 = 0. Calculate d.
-2, -1, 1, 32, 95
Factor -b**3/2 - 43*b**2/2 + 289*b/2 - 245/2.
-(b - 5)*(b - 1)*(b + 49)/2
Find i, given that i**4 + 43*i**3 + 128*i**2 - 1060*i + 1248 = 0.
-39, -8, 2
Suppose -4*c**4 + 165736*c**3 + 1326092*c**2 + 2154960*c + 994608 = 0. What is c?
-6, -1, 41442
Suppose -6*f**5 + 508*f**4 - 11874*f**3 + 47532*f**2 - 55360*f + 19200 = 0. What is f?
2/3, 1, 3, 40
Solve 4*k**5 - 1624*k**4 - 4896*k**3 - 4904*k**2 - 1636*k = 0 for k.
-1, 0, 409
Solve -w**5/4 + 3*w**4 + 57*w**3/4 - 166*w**2 - 339*w + 1188 = 0 for w.
-6, -4, 2, 9, 11
Find c, given that -3*c**3/4 + 15*c**2/2 + 33*c/4 = 0.
-1, 0, 11
Find c such that 4*c**4/7 + 836*c**3 - 202756*c**2/7 + 1257268*c/7 + 8646672/7 = 0.
-1497, -4, 19
Determine s, given that -2*s**5/3 - 294*s**4 - 35610*s**3 - 2109358*s**2/3 - 3454352*s + 4193376 = 0.
-209, -12, 1
Solve 128*p**3/5 + 1112*p**2/5 - 7322*p/5 - 1898/5 = 0.
-13, -1/4, 73/16
Find j, given that -2*j**2/13 - 358*j/13 + 2604/13 = 0.
-186, 7
Factor 2*c**2 - 4636*c + 27744.
2*(c - 2312)*(c - 6)
Let -3*x**3 + 333*x**2 + 29295*x - 3274425 = 0. Calculate x.
-99, 105
Factor -2*h**3/5 + 878*h**2/5 + 2652*h/5.
-2*h*(h - 442)*(h + 3)/5
Determine b so that -b**3/2 - 1736*b**2 - 184517*b/2 + 93995 = 0.
-3418, -55, 1
Let -2*s**4/5 - 719*s**3/5 - 36834*s**2/5 - 10728*s = 0. Calculate s.
-298, -60, -3/2, 0
Find p such that 5*p**3 + 58695*p**2 + 171282600*p - 5716424340 = 0.
-5886, 33
Find c, given that -2*c**4 + 70546*c**3 - 141078*c**2 - 211626*c = 0.
-1, 0, 3, 35271
Find h such that 3*h**4 - 2484*h**3 - 7470*h**2 - 7476*h - 2493 = 0.
-1, 831
Solve -2*c**4/11 - 324*c**3/11 - 12440*c**2/11 + 56772*c/11 + 68890/11 = 0 for c.
-83, -1, 5
Factor -g**2/7 - 253438*g/7 - 16057704961/7.
-(g + 126719)**2/7
Factor -5*d**2 - 35660*d - 142560.
-5*(d + 4)*(d + 7128)
Find w such that -w**3 + 30*w**2 - 161*w = 0.
0, 7, 23
Solve 3*k**2/7 - 4059*k/7 + 11988 = 0 for k.
21, 1332
Factor -2*y**4/7 + 173630*y**3/7 + 148836*y**2.
-2*y**2*(y - 86821)*(y + 6)/7
Solve 2*t**4 + 16438*t**3 + 33718358*t**2 - 236966382*t - 270668304 = 0 for t.
-4113, -1, 8
Let 4*c**2 + 1924*c + 209160 = 0. What is c?
-315, -166
Determine x, given that 20*x**4 + 9808*x**3 - 5940*x**2 - 23584*x - 7856 = 0.
-491, -1, -2/5, 2
Determine h so that -5*h**5/2 + 1125*h**4/2 + 382785*h**3/2 - 87190865*h**2/2 - 87762780*h - 43976520 = 0.
-277, -1, 252
Factor -n**4/3 + 265*n**3 - 60424*n**2 + 8877232*n/3.
-n*(n - 364)**2*(n - 67)/3
Factor 36*u**3 + 55484*u**2 + 67768*u + 12320.
4*(u + 1)*(u + 1540)*(9*u + 2)
Let 5*p**2/3 + 2905*p/3 + 53390/3 = 0. What is p?
-562, -19
Solve -12*l**4 - 1095*l**3 - 28773*l**2 - 236721*l - 57399 = 0 for l.
-53, -19, -1/4
Suppose 5*f**2 - 430*f - 4800 = 0. Calculate f.
-10, 96
Factor 2*q**3/7 + 114*q**2 + 12474*q + 214326.
2*(q + 21)*(q + 189)**2/7
What is v in -9*v**5 + 219*v**4/2 - 633*v**3/2 - 237*v**2 + 738*v + 540 = 0?
-1, -5/6, 2, 6
Solve -f**5 - 163*f**4 + 1730*f**3 = 0 for f.
-173, 0, 10
Factor 4*p**3 + 3040*p**2 - 595392*p + 26191872.
4*(p - 84)**2*(p + 928)
Let -8*r**5 + 9184*r**4/11 - 12414*r**3/11 + 5570*r**2/11 - 824*r/11 = 0. What is r?
0, 4/11, 1/2, 103
Find f, given that -3*f**5 + 333*f**4 + 2424*f**3 + 6312*f**2 + 7056*f + 2832 = 0.
-2, -1, 118
Solve 2*l**4/13 + 790*l**3/13 + 81474*l**2/13 + 681290*l/13 + 1042972/13 = 0.
-193, -7, -2
Find g such that -6*g**2/13 + 10*g/13 + 616/13 = 0.
-28/3, 11
Find u, given that 12*u**3 - 1016*u**2 - 3648*u + 11264 = 0.
-16/3, 2, 88
Solve -3*i**3 + 5073*i**2 - 10137*i + 5067 = 0 for i.
1, 1689
Let -y**3/2 - 181*y**2 - 4211*y/2 - 1925 = 0. What is y?
-350, -11, -1
Factor -4*a**3/5 + 83916*a**2/5 - 88015296*a - 88032080.
-4*(a - 10490)**2*(a + 1)/5
Solve -2*m**4 - 2904*m**3 - 1054150*m**2 + 2904*m + 1054152 = 0.
-726, -1, 1
Find r, given that 5*r**3 + 6995*r**2 + 178615*r + 171625 = 0.
-1373, -25, -1
Solve -t**3 - 27*t**2 + 706*t - 1848 = 0.
-44, 3, 14
Factor k**2 + 17842*k + 124845.
(k + 7)*(k + 17835)
Factor o**2 - 12662*o + 25320.
(o - 12660)*(o - 2)
Suppose -z**3 + 80*z**2 + 307*z - 11726 = 0. What is z?
-13, 11, 82
Let 5*g**5 - 940*g**4 + 8840*g**3 + 10730*g**2 - 8845*g - 9790 = 0. Calculate g.
-1, 1, 11, 178
Factor -12*z**2 + 8087*z + 674.
-(z - 674)*(12*z + 1)
Suppose -o**4/8 - 97*o**3/8 + 105*o**2 + 10789*o/2 - 11110 = 0. What is o?
-101, -20, 2, 22
Let 792*g**2 + 35643*g + 135 = 0. What is g?
-45, -1/264
Solve -2*f**2/7 + 454*f/7 - 18444/7 = 0 for f.
53, 174
Factor -2*v**2/3 + 26848*v/9 - 17896/9.
-2*(v - 4474)*(3*v - 2)/9
Factor -b**2 - 1502*b - 22305.
-(b + 15)*(b + 1487)
Let j**5/5 - 542*j**4/5 - 3829*j**3/5 - 7678*j**2/5 - 4392*j/5 = 0. What is j?
-4, -2, -1, 0, 549
Factor -5*f**3 - 54155*f**2 - 146122375*f + 2795909375.
-5*(f - 19)*(f + 5425)**2
Factor 3*x**2 - 270*x - 18225.
3*(x - 135)*(x + 45)
Suppose -2*o**3 + 270914*o**2 - 9174434880*o + 9174163968 = 0. What is o?
1, 67728
Suppose -5*c**3/3 + 3340*c**2/3 - 9985*c/3 + 6650/3 = 0. What is c?
1, 2, 665
Determine w, given that 5*w**3 + 3255*w**2 - 3260*w = 0.
-652, 0, 1
Factor 2*i**3/7 + 8084*i**2/7 - 16174*i/7 + 8088/7.
2*(i - 1)**2*(i + 4044)/7
Factor 15*d**3/4 - 3*d**2 - 141*d/4 - 57/2.
3*(d + 1)*(d + 2)*(5*d - 19)/4
Let -r**5/10 + 19*r**4/5 + 207*r**3/10 + 34*r**2 + 86*r/5 = 0. Calculate r.
-2, -1, 0, 43
Determine i, given that -i**5/6 - 118*i**4/3 + 319*i**3/2 - 120*i**2 = 0.
-240, 0, 1, 3
Determine a so that -5*a**4 + 3120*a**3 + 6265*a**2 - 3120*a - 6260 = 0.
-2, -1, 1, 626
Let -3*c**4 + 20103*c**3 + 9*c**2 - 60315*c + 40206 = 0. What is c?
-2, 1, 6701
Determine p so that 5*p**3 - 240*p**2 - 164700*p - 9234000 = 0.
-90, 228
Suppose o**2/10 - 51*o/2 - 3047/5 = 0. Calculate o.
-22, 277
Let -g**3/12 + 39113*g**2/12 - 78217*g/4 + 117321/4 = 0. Calculate g.
3, 39107
Determine x, given that -3*x**3 + 21927*x**2 - 306429*x + 284505 = 0.
1, 13, 7295
Let 14*r**5/3 + 358*r**4/3 + 1370*r**3/3 - 3858*r**2 + 5760*r - 1800 = 0. Calculate r.
-15, 3/7, 2
Factor -5*b**2 - 736770*b - 27141501645.
-5*(b + 73677)**2
Find k such that 15*k**5 - 879*k**4 + 8931*k**3 + 125979*k**2 - 81774*k - 52272 = 0.
-8, -2/5, 1, 33
Let u**2 - 21463*u + 21462 = 0. What is u?
1, 21462
Find d, given that -6*d**5 - 980*d**4 + 24802*d**3 - 92064*d**2 - 33480*d = 0.
-186, -1/3, 0, 5, 18
Factor -39548*m**3 + 64*m**2.
-4*m**2*(9887*m - 16)
Factor -4*m**2 - 3115832*m - 606775565764.
-4*(m + 389479)**2
Factor 2*z**2 - 46044*z + 265006242.
2*(z - 11511)**2
Factor 3*k**2 + 1041468*k + 90387966252.
3*(k + 173578)**2
Suppose 2*u**5/9 - 146*u**4/3 + 5678*u**3/9 + 4226*u**2/3 + 6560*u/9 = 0. What is u?
-1, 0, 16, 205
Determine c, given that 2*c**2/7 + 304*c - 12840/7 = 0.
-1070, 6
Suppose -2*p**4 + 406*p**3 + 1236*p**2 = 0. What is p?
-3, 0, 206
Suppose -v**2/2 - 7276*v - 14551/2 = 0. Calculate v.
-14551, -1
Solve 5*g**4 - 305*g**3 - 10750*g**2 = 0.
