52757*k - 30874082 = 0 for k.
-3929, -2
Determine m, given that 2*m**3/11 + 2238*m**2/11 + 13374*m/11 + 20034/11 = 0.
-1113, -3
What is c in -c**4 + 14*c**3 + 971*c**2 + 2760*c = 0?
-23, -3, 0, 40
Factor -4*l**2 - 36720*l + 73456.
-4*(l - 2)*(l + 9182)
Determine s so that s**4/6 + 463*s**3/2 - 2796*s**2 + 8406*s = 0.
-1401, 0, 6
Factor -3*h**3/2 + 27315*h**2/2 + 13659*h.
-3*h*(h - 9106)*(h + 1)/2
Determine s so that 1615*s**4 - 356945*s**3 + 5015*s**2 + 356945*s - 6630 = 0.
-1, 6/323, 1, 221
Factor 70*r**3 + 624*r**2 - 898*r + 204.
2*(r - 1)*(5*r + 51)*(7*r - 2)
Find f such that f**4/4 + 9*f**3/4 - 153*f**2/4 - 689*f/4 - 132 = 0.
-16, -3, -1, 11
Suppose -518*n**5/3 - 8038*n**4/3 - 13106*n**3/3 + 8798*n**2/3 + 13624*n/3 - 760/3 = 0. What is n?
-95/7, -2, -1, 2/37, 1
Factor -c**3 - 187*c**2 - 6376*c - 12012.
-(c + 2)*(c + 42)*(c + 143)
Determine c so that -167*c**2/3 - 220*c + 32/3 = 0.
-4, 8/167
Solve t**5 - 30*t**4 + 128*t**3 - 70*t**2 - 129*t + 100 = 0.
-1, 1, 4, 25
Let 10*v**5/7 - 2032*v**4/7 + 15194*v**3 - 311600*v**2/7 - 60000*v = 0. Calculate v.
-1, 0, 21/5, 100
Determine j, given that 6*j**2 + 694182*j + 40157387427/2 = 0.
-115697/2
Factor -2*r**3 + 75956*r**2 - 607552*r + 1215040.
-2*(r - 37970)*(r - 4)**2
Solve 2*u**2/7 - 3684*u/7 + 32994/7 = 0 for u.
9, 1833
What is m in -4*m**5/7 - 268*m**4/7 - 2956*m**3/7 + 58412*m**2/7 + 124640*m/7 + 63536/7 = 0?
-38, -1, 11
What is d in -8955*d**4 - 96605*d**3 + 246785*d**2 - 139795*d - 1430 = 0?
-13, -2/199, 1, 11/9
Determine m so that -5*m**2 + 9397170*m - 4415340200445 = 0.
939717
Factor 5*q**3 - 413915*q**2 + 8567316055*q - 42826233025.
5*(q - 41389)**2*(q - 5)
Factor -4*m**3/3 - 296*m**2/3 + 1780*m.
-4*m*(m - 15)*(m + 89)/3
Solve -2*t**3/9 - 292*t**2/3 - 12738*t - 522720 = 0.
-240, -99
Let -3*p**2/4 - 1185*p/4 + 15948 = 0. What is p?
-443, 48
Solve -5*o**5/3 - 115*o**4/3 - 620*o**3/3 - 940*o**2/3 + 400*o/3 + 1280/3 = 0.
-16, -4, -2, 1
Solve 3*u**3/7 + 402*u**2/7 - 25308*u/7 - 3664872/7 = 0.
-114, 94
Let -4*v**3 - 4*v**2 + 28224*v + 28224 = 0. Calculate v.
-84, -1, 84
Factor z**3 + 532*z**2 - 2165*z - 11256.
(z - 7)*(z + 3)*(z + 536)
Suppose -2*p**3/7 - 10*p**2/7 + 136*p + 960/7 = 0. Calculate p.
-24, -1, 20
Solve 2*v**3/7 - 1618*v**2/7 + 11240*v/7 - 9624/7 = 0 for v.
1, 6, 802
Factor 5*i**4 - 560*i**3 + 2710*i**2 - 3760*i + 1605.
5*(i - 107)*(i - 3)*(i - 1)**2
Factor 3*a**5 - 1251*a**4 - 20514*a**3 - 116310*a**2 - 259425*a - 162375.
3*(a - 433)*(a + 1)*(a + 5)**3
Find u such that u**5/3 + 37*u**4/3 + 419*u**3/3 + 983*u**2/3 - 2320*u - 8400 = 0.
-15, -7, -4, 4
Solve -o**3/4 + o**2 + 181*o/4 + 44 = 0.
-11, -1, 16
Determine w so that w**2/2 - 1167138*w + 681105555522 = 0.
1167138
Factor 5*u**2 + 150*u - 56120.
5*(u - 92)*(u + 122)
What is u in 7*u**4/4 - 75619*u**3/4 - 172869*u**2/4 - 118853*u/4 - 10805/2 = 0?
-1, -2/7, 10805
Find z such that 5*z**5 + 13815*z**4 - 83015*z**3 + 152265*z**2 - 83070*z = 0.
-2769, 0, 1, 2, 3
Solve -6*o**2/11 - 1794*o/11 + 239400/11 = 0.
-399, 100
Solve u**3/9 + 1928*u**2/9 + 308476*u/3 - 414736 = 0.
-966, 4
Factor -2*y**2 + 12516*y - 19581282.
-2*(y - 3129)**2
Solve -3*n**4 - 168*n**3 - 2547*n**2 - 6210*n = 0.
-30, -23, -3, 0
Factor -2*p**4 + 17512*p**3 - 38333768*p**2.
-2*p**2*(p - 4378)**2
Factor -3*k**2/2 - 729*k/2 + 1107.
-3*(k - 3)*(k + 246)/2
Let -3*x**4 + 4776*x**3 + 9564*x**2 = 0. What is x?
-2, 0, 1594
Factor -4*i**2 + 278840*i - 4859484100.
-4*(i - 34855)**2
Solve 78*b**3 + 117999*b**2/5 - 51807*b/5 + 1818/5 = 0 for b.
-303, 1/26, 2/5
Suppose 2*y**5/5 - 26*y**4 + 574*y**3/5 + 9506*y**2 + 378672*y/5 + 172872 = 0. What is y?
-7, -5, 42
Find f, given that 5*f**3 + 210*f**2 - 315*f - 35100 = 0.
-39, -15, 12
Solve m**5/8 - 7*m**4/2 + 289*m**3/8 - 689*m**2/4 + 380*m - 308 = 0.
2, 4, 7, 11
Find c, given that -3*c**4 + 203892*c**3 - 611658*c**2 + 611652*c - 203883 = 0.
1, 67961
Factor 2060602*a**4/5 - 525331098*a**3/5 - 31212636*a**2/5 - 618104*a/5 - 816.
2*(a - 255)*(101*a + 2)**3/5
Let 3*o**5 + 9*o**4 - 45*o**3 - 57*o**2 + 90*o = 0. What is o?
-5, -2, 0, 1, 3
Factor x**5 + 230*x**4 + 19734*x**3 + 745360*x**2 + 10215425*x - 10980750.
(x - 1)*(x + 55)**3*(x + 66)
Let -c**4 - 19*c**3 - 104*c**2 - 44*c + 672 = 0. Calculate c.
-8, -7, -6, 2
Suppose -25*d**4 - 540*d**3 - 705*d**2 + 1870*d - 600 = 0. Calculate d.
-20, -3, 2/5, 1
Solve -5*j**3/3 + 1243*j**2/3 + 1007*j - 753 = 0.
-3, 3/5, 251
What is w in w**3/5 + 10068*w**2/5 = 0?
-10068, 0
Determine c so that -5*c**3 + 30*c**2 + 15300*c - 358360 = 0.
-62, 34
Factor -2*v**2 + 204*v - 970.
-2*(v - 97)*(v - 5)
Solve 5*h**5/3 - 13915*h**4/3 + 3229425*h**3 - 9563065*h**2/3 - 77562160*h/3 + 38697620 = 0.
-3, 2, 1391
Suppose -3*p**3/2 + 289743*p**2/2 - 144867*p - 289740 = 0. Calculate p.
-1, 2, 96580
Determine y so that 162*y**5 + 1458*y**4 - 1976*y**3 - 3528*y**2 + 384*y + 640 = 0.
-10, -1, -4/9, 4/9, 2
Suppose -27586*b**2/9 + 27584*b/9 + 2/9 = 0. Calculate b.
-1/13793, 1
Solve 3*k**3/2 + 1365*k**2/2 + 6639*k - 16020 = 0 for k.
-445, -12, 2
Solve -3*d**4/4 - 1707*d**3/4 - 179703*d**2/4 - 6954297*d/4 - 46108149/2 = 0 for d.
-446, -41
Factor -2*b**2/9 + 140710*b/9 - 31268.
-2*(b - 70353)*(b - 2)/9
Suppose q**5/2 + 1505*q**4/2 - 42015*q**3 + 121525*q**2 - 240035*q/2 + 79509/2 = 0. Calculate q.
-1559, 1, 51
Factor 2*m**4/7 + 72*m**3/7 - 20344*m**2/7 - 377856*m/7 + 55083008/7.
2*(m - 64)**2*(m + 82)**2/7
Find q such that q**4 + 235*q**3 + 909*q**2 - 3483*q - 4158 = 0.
-231, -6, -1, 3
Factor 35*h**2/3 + 1844870*h/3 - 263555.
5*(h + 52711)*(7*h - 3)/3
Suppose -y**3/6 - 77*y**2/6 - 1751*y/6 - 12427/6 = 0. What is y?
-43, -17
Find d such that -20736*d**5 + 30115008*d**4 + 20919548*d**3 + 5305956*d**2 + 581184*d + 23248 = 0.
-2/9, -1/8, 1453
Let 2*u**4/11 - 40*u**3/11 - 18*u**2 + 540*u - 10800/11 = 0. Calculate u.
-12, 2, 15
Find d, given that 3*d**3 + 984*d**2 - 25344*d = 0.
-352, 0, 24
Let 3*t**3/4 - 1707*t**2 + 282807*t/4 - 1477791/2 = 0. What is t?
21, 2234
Determine q so that -3*q**3/2 - 231*q**2/2 - 2130*q - 2016 = 0.
-48, -28, -1
Suppose 2*k**3/5 + 3104*k**2/5 + 52222*k/5 + 9824 = 0. Calculate k.
-1535, -16, -1
Factor -a**4 - 11*a**3 + 172*a**2 + 380*a.
-a*(a - 10)*(a + 2)*(a + 19)
Let -t**3 - 246*t**2 - 3233*t + 3480 = 0. What is t?
-232, -15, 1
Solve 3*j**3/7 + 990*j**2/7 - 31071*j/7 + 58158/7 = 0.
-359, 2, 27
Factor -2*t**3 - 3288*t**2 - 65160*t - 324800.
-2*(t + 10)**2*(t + 1624)
Solve -4*y**4 - 35176*y**3 - 103124304*y**2 - 100821171096*y - 100718081964 = 0 for y.
-2931, -1
Factor 304*d**3 + 305*d**2 - 1823*d - 6.
(d - 2)*(d + 3)*(304*d + 1)
Determine g so that g**5/6 - 277*g**4/6 + 2805*g**3 = 0.
0, 90, 187
Let 2*q**2/7 + 123460*q/7 + 1905296450/7 = 0. What is q?
-30865
Factor -j**4 - 441*j**3 - 64827*j**2 - 3176523*j.
-j*(j + 147)**3
Determine b, given that -2*b**4 - 906*b**3 + 1820*b**2 = 0.
-455, 0, 2
Determine r, given that -3*r**4 + 297*r**3 + 315*r**2 - 1509*r + 900 = 0.
-3, 1, 100
Factor -5*p**2 + 33640*p - 771075.
-5*(p - 6705)*(p - 23)
Find z, given that -366*z**2/7 - 370390*z/7 + 2024/7 = 0.
-1012, 1/183
Factor -13*f**2/2 + 14033*f/2 + 7023.
-(f + 1)*(13*f - 14046)/2
Determine a so that 2*a**2/13 + 332*a/13 + 1610/13 = 0.
-161, -5
Factor -l**3/10 - 76*l**2 + 88987*l/10 - 1216297/5.
-(l - 53)**2*(l + 866)/10
Factor 5*r**2 - 1002585*r - 1002590.
5*(r - 200518)*(r + 1)
Suppose 57*c**5 + 4566*c**4 + 4983*c**3 + 474*c**2 = 0. Calculate c.
-79, -1, -2/19, 0
Determine c, given that -2*c**4/11 - 492*c**3/11 - 350*c**2 - 912*c - 8568/11 = 0.
-238, -3, -2
Solve -3*i**5/5 + 534*i**4/5 - 16281*i**3/5 + 9030*i**2 - 5880*i = 0.
0, 1, 2, 35, 140
Factor -54*k**4/7 + 1508274*k**3/7 + 1508310*k**2/7 + 502774*k/7 + 55864/7.
-2*(k - 27932)*(3*k + 1)**3/7
Factor -133*v**2/4 - 191*v + 51.
-(v + 6)*(133*v - 34)/4
Determine c, given that -3*c**2/4 - 41589*c/4 = 0.
-13863, 0
Factor -y**2/2 - 595*y + 3588.
-(y - 6)*(y + 1196)/2
Find g, given that 4*g**5 + 100034*g**4 + 625450078*g**3 + 312650016*g**2 - 312700032*g = 0.
-12504, -1, 0, 1/2
Determine q so that q**2/8 + 1253*q/4 + 20723 = 0.
-2438, -68
Factor 2*d**2/5 - 216*d/5.
2*d*(d - 108)/5
Let -405*u**5 + 900*u**4 + 940*u**3 - 1600*u**2 - 1280*u = 0. What is u?
-8/9, 0, 2
What is f in 2*f**2/11 + 542*f/11 - 1172 = 0?
-293, 22
Let 78*o**3 + 177465*o**2 - 444267*o - 266490 = 0. Calcu