iven that 4*z**4 + 940*z**3 - 56452*z**2 + 156932*z + 214320 = 0.
-285, -1, 4, 47
Determine h, given that -6*h**3/11 + 6450*h**2/11 + 260676*h/11 = 0.
-39, 0, 1114
Factor 4*k**2 + 583784*k + 21300234916.
4*(k + 72973)**2
Determine u so that -u**4/5 + 1062*u**3/5 + 1063*u**2/5 = 0.
-1, 0, 1063
Suppose 882*v**5 + 6510*v**4 + 12086*v**3 + 8330*v**2 + 2032*v + 160 = 0. Calculate v.
-5, -1, -4/21
Factor -23*r**2 - 2536*r/3 - 624.
-(r + 36)*(69*r + 52)/3
Factor -3*l**5/5 - 189*l**4/5 - 3384*l**3/5 - 4800*l**2 - 59904*l/5.
-3*l*(l + 8)**3*(l + 39)/5
Suppose -13*n**5 + 324*n**4/5 + 144*n**3 - 2134*n**2/5 + 1137*n/5 + 18/5 = 0. What is n?
-3, -1/65, 1, 6
Determine k so that 2*k**5/7 - 370*k**4/7 + 4884*k**3/7 - 16416*k**2/7 = 0.
0, 6, 8, 171
Factor 2*v**2 + 426*v - 17360.
2*(v - 35)*(v + 248)
Find p, given that p**2/2 - 319422*p + 51015207042 = 0.
319422
Factor -2*y**2 + 142460*y - 2536856450.
-2*(y - 35615)**2
Solve -30*u**5 - 785*u**4 - 4275*u**3 + 11655*u**2 + 5425*u - 9750 = 0.
-15, -13, -1, 5/6, 2
Find s, given that -370*s**4 + 17225*s**3 - 83255*s**2 - 41060*s + 2460 = 0.
-1/2, 2/37, 6, 41
Suppose 3*n**3 + 918*n**2 - 2793*n - 3708 = 0. What is n?
-309, -1, 4
Determine b, given that 15*b**5/7 + 58566*b**4/7 + 63670344*b**3/7 + 12698545488*b**2/7 + 101083077264*b + 40143560352 = 0.
-1834, -118, -2/5
Determine x, given that -832*x**3/19 + 18406*x**2/19 - 102916*x/19 + 12342/19 = 0.
51/416, 11
Factor 4*g**4 - 736*g**3 + 14268*g**2 - 95168*g + 208640.
4*(g - 163)*(g - 8)**2*(g - 5)
Factor 2*b**3/7 + 306*b**2/7 + 12312*b/7 + 87480/7.
2*(b + 9)*(b + 54)*(b + 90)/7
Find f such that 2*f**5/13 - 99160*f**4/13 + 1228989032*f**3/13 + 2458473884*f**2/13 - 94537618*f - 189105748 = 0.
-2, -1, 1, 24791
Factor 3*x**2 + 13356*x + 13353.
3*(x + 1)*(x + 4451)
Determine k so that 3*k**4/8 - 321*k**3/4 + 468*k**2 + 12*k - 2496 = 0.
-2, 4, 208
Factor 17*h**3/4 + 437*h**2/4 + 358*h + 253.
(h + 1)*(h + 22)*(17*h + 46)/4
Solve 3*b**5 - 198*b**4 - 8721*b**3 + 390324*b**2 + 5612652*b - 202253760 = 0 for b.
-34, 27, 80
Factor -5415*g**2/2 + 35*g.
-5*g*(1083*g - 14)/2
Factor 2*n**4/5 + 156*n**3 + 47472*n**2/5 + 1043188*n/5 + 7811214/5.
2*(n + 23)**3*(n + 321)/5
Factor 5*a**4 - 13085*a**3 + 39225*a**2 - 39215*a + 13070.
5*(a - 2614)*(a - 1)**3
Factor -2*t**2/5 + 614*t/5 + 20956/5.
-2*(t - 338)*(t + 31)/5
Determine u, given that 4*u**5/9 - 392*u**4/9 + 4316*u**3/9 - 16456*u**2/9 + 2768*u - 1376 = 0.
1, 2, 3, 6, 86
Factor i**2/3 - 7466*i.
i*(i - 22398)/3
Factor 2*a**4 - 444*a**3 - 1370*a**2 + 4500*a.
2*a*(a - 225)*(a - 2)*(a + 5)
Let -u**3/2 + 9*u**2 + 1585*u/2 - 8325 = 0. Calculate u.
-37, 10, 45
Suppose -1071018010*m**4 - 2142077416*m**3 - 5355504012*m**2/5 - 206984*m/5 - 2/5 = 0. Calculate m.
-1, -1/51745
Factor t**2/3 + 50554*t/3 + 16851.
(t + 1)*(t + 50553)/3
Determine c so that -4*c**2 - 948*c + 952 = 0.
-238, 1
Find j, given that j**3/10 - 29332*j**2/5 - 117334*j/5 - 117336/5 = 0.
-2, 58668
Factor -4*b**3 - 63260*b**2 - 250145852*b - 250082596.
-4*(b + 1)*(b + 7907)**2
Let -2*c**3/7 - 40*c**2/7 - 22*c + 28 = 0. What is c?
-14, -7, 1
Solve -2*q**2 - 2724*q + 8190 = 0.
-1365, 3
Factor 2*k**2/3 - 57052*k + 1220599014.
2*(k - 42789)**2/3
Determine t, given that -9*t**2/2 + 3369*t + 2247/2 = 0.
-1/3, 749
Find h such that 3*h**2/8 + 7725*h/8 - 7749 = 0.
-2583, 8
Determine q, given that 2*q**5/15 + 422*q**4/15 + 27806*q**3/15 + 541658*q**2/15 - 27808*q/15 - 108416/3 = 0.
-88, -35, -1, 1
Find a, given that 4*a**4 - 2404*a**3 - 52*a**2 + 31204*a + 28848 = 0.
-3, -1, 4, 601
Factor -x**2/5 - 98036*x/5 - 2402764324/5.
-(x + 49018)**2/5
What is l in -2*l**3/7 - 2214*l**2/7 + 13346*l/7 - 1590 = 0?
-1113, 1, 5
Find l, given that -3*l**5 + 63*l**4 + 75*l**3 - 183*l**2 - 324*l - 132 = 0.
-1, 2, 22
Solve l**4/6 - 40*l**3 + 1631*l**2/6 = 0 for l.
0, 7, 233
Find w such that 2*w**4/5 - 1068*w**3/5 - 8646*w**2/5 - 2816*w - 6504/5 = 0.
-6, -1, 542
Determine f so that -f**5/3 - 97*f**4/3 - 178*f**3/3 + 1148*f**2/3 + 728*f/3 - 3040/3 = 0.
-95, -4, -2, 2
Suppose -2*d**3/11 + 394*d**2/11 + 2426*d/11 + 2030/11 = 0. Calculate d.
-5, -1, 203
Find s, given that -2*s**4/13 + 42*s**3/13 + 172*s**2/13 - 384*s - 5120/13 = 0.
-10, -1, 16
Determine j so that j**2/5 + 1237*j/5 + 10038 = 0.
-1195, -42
Factor -5*q**3 - 420*q**2 + 7295*q - 12870.
-5*(q - 13)*(q - 2)*(q + 99)
Factor -3*s**2 - 181*s/2 + 193.
-(s - 2)*(6*s + 193)/2
Factor -2*c**2 + 44416*c + 44418.
-2*(c - 22209)*(c + 1)
Determine u, given that 4*u**3 - 2896*u**2 + 83396*u - 80504 = 0.
1, 29, 694
Determine q, given that -168*q**5 + 2012*q**4 + 4924*q**3 + 3140*q**2 + 396*q = 0.
-1, -1/6, 0, 99/7
Suppose 3946827*r**3/5 - 13764*r**2/5 + 12*r/5 = 0. What is r?
0, 2/1147
Determine x so that x**5/2 + x**4/2 - 135*x**3/2 + 599*x**2/2 - 401*x + 168 = 0.
-14, 1, 3, 8
Find j such that 2*j**5 - 4078*j**4 + 32540*j**3 - 89412*j**2 + 97506*j - 36558 = 0.
1, 3, 2031
Find w such that -4*w**2 + 39484*w + 78984 = 0.
-2, 9873
Factor 2*x**2/3 - 898*x + 2688.
2*(x - 1344)*(x - 3)/3
Suppose -605*m**5 + 75295*m**4 + 194875*m**3 + 89445*m**2 + 11430*m = 0. Calculate m.
-2, -3/11, 0, 127
Solve -18*c**5/5 - 5764*c**4/5 - 522974*c**3/5 - 1889052*c**2 + 7783616*c/5 + 438080 = 0 for c.
-148, -25, -2/9, 1
Let -2*z**4 + 6928*z**3 - 5957936*z**2 - 72245184*z - 217486368 = 0. What is z?
-6, 1738
Determine c so that c**2 - 106*c + 2728 = 0.
44, 62
Find u such that -5*u**4 - 975*u**3 + 170355*u**2 - 7673765*u + 109584390 = 0.
-318, 41
Factor -2*p**3/7 - 4418*p**2/7 - 2419838*p/7 + 22137858/7.
-2*(p - 9)*(p + 1109)**2/7
What is p in 4*p**2 - 200*p - 4556 = 0?
-17, 67
Find d such that d**5 + 323*d**4 + 3720*d**3 - 3860*d**2 - 39616*d + 59712 = 0.
-311, -12, -4, 2
Find b, given that -5*b**4 + 1080*b**3 + 31605*b**2 - 34820*b - 65340 = 0.
-27, -1, 2, 242
Factor 5*k**3 - 740*k**2 - 2285*k + 3020.
5*(k - 151)*(k - 1)*(k + 4)
Suppose 25*t**4 + 3390*t**3 - 8275*t**2 + 720*t + 4140 = 0. What is t?
-138, -3/5, 1, 2
Solve -2*r**3/11 - 62*r**2/11 + 900*r/11 + 7200/11 = 0.
-40, -6, 15
Solve 3*a**2/7 - 65214*a/7 + 354405483/7 = 0 for a.
10869
Factor y**2/3 + 472*y/3 - 475.
(y - 3)*(y + 475)/3
Factor 5*b**3 - 9335*b**2 - 538725*b + 548055.
5*(b - 1923)*(b - 1)*(b + 57)
Let -2*w**4 - 116*w**3 - 1922*w**2 - 6384*w + 8424 = 0. What is w?
-27, -26, -6, 1
Factor 2*m**3 + 81238*m**2.
2*m**2*(m + 40619)
Factor -2*p**3/7 - 71478*p**2/7 - 638816718*p/7 - 3192296890/7.
-2*(p + 5)*(p + 17867)**2/7
Suppose -3*a**5 - 684*a**4 - 38145*a**3 - 144468*a**2 - 141780*a = 0. Calculate a.
-139, -85, -2, 0
Factor -3*p**2 - 939*p - 29190.
-3*(p + 35)*(p + 278)
Determine y, given that -5*y**2 - 1939040*y - 187993806080 = 0.
-193904
Factor -48*t**3 - 12477*t**2 - 810420*t + 50700.
-3*(t + 130)**2*(16*t - 1)
Determine h so that -h**5/3 + 133*h**4 - 12656*h**3 - 364772*h**2/3 - 330208*h - 277440 = 0.
-5, -2, 204
Determine q so that 10*q**3 - 2776*q**2 + 1662*q = 0.
0, 3/5, 277
Solve -7*y**5/4 - 215*y**4/4 - 1849*y**3/4 - 5789*y**2/4 - 1210*y + 475 = 0 for y.
-19, -5, -2, 2/7
What is k in 18*k**3/5 + 5054*k**2/5 + 361678*k/5 + 193210 = 0?
-139, -25/9
Determine n, given that 2*n**2/7 + 1504*n/7 + 39186 = 0.
-441, -311
Factor -2*j**3/3 - 1804*j**2 + 7224*j - 21680/3.
-2*(j - 2)**2*(j + 2710)/3
Find t such that -4*t**3/7 + 6336*t**2/7 - 1808*t = 0.
0, 2, 1582
Determine o so that 2*o**4/9 - 254*o**3/3 - 7802*o**2/9 - 782*o = 0.
-9, -1, 0, 391
Factor -2*x**4 - 94*x**3 - 972*x**2 + 5184*x + 48384.
-2*(x - 7)*(x + 6)*(x + 24)**2
Factor -2*b**3/5 - 80048*b**2/5 - 800960288*b/5.
-2*b*(b + 20012)**2/5
Suppose 3*f**3 + 1360*f**2 - 3648*f = 0. Calculate f.
-456, 0, 8/3
Find g, given that -4*g**5 - 16*g**4 + 323*g**3 - 33*g**2 - 2394*g - 2376 = 0.
-11, -3/2, 4, 6
Suppose -i**3 - 263*i**2 - 7360*i + 1459200 = 0. What is i?
-160, 57
Find y, given that -3*y**5/5 - 1188*y**4/5 - 19875*y**3 + 3707958*y**2/5 - 7113024*y/5 + 3505632/5 = 0.
-212, 1, 26
Solve 67995*h**5 - 181500*h**4 + 166690*h**3 - 60880*h**2 + 7715*h - 20 = 0 for h.
4/1511, 1/3, 1
Suppose 28*b**4/5 + 12484*b**3/5 - 64836*b**2/5 + 48924*b/5 + 97416/5 = 0. Calculate b.
-451, -6/7, 3
Factor q**2/2 - 93020*q + 186039/2.
(q - 186039)*(q - 1)/2
Suppose -4*f**5 - 1016*f**4 - 97696*f**3 - 4300224*f**2 - 79652160*f - 342921600 = 0. Calculate f.
-70, -54, -6
Factor -q**4/8 - 23*q*