nd k, given that 3*k**2 + 21*k - 24 = 0.
-8, 1
Find q, given that 4*q**5 + 2196*q**4 + 258332*q**3 - 11735668*q**2 + 139852416*q - 439546880 = 0.
-293, 5, 16
Factor -2*d**2 - 39526*d + 1862140.
-2*(d - 47)*(d + 19810)
Factor -a**3/5 - 6359*a**2/5 + 1272*a.
-a*(a - 1)*(a + 6360)/5
Suppose -20*y**5 - 21852*y**4 - 7962856*y**3 - 969332000*y**2 - 575562624*y + 385828352 = 0. What is y?
-364, -1, 2/5
Determine z so that z**2 + 125*z - 3066 = 0.
-146, 21
Factor 3*q**4 + 156*q**3 + 2241*q**2 + 7188*q + 6612.
3*(q + 2)**2*(q + 19)*(q + 29)
Let -m**2/8 - 11947*m/4 - 11945 = 0. What is m?
-23890, -4
Factor -o**5/7 - 117*o**4/7 + 4845*o**3/7 - 43639*o**2/7.
-o**2*(o - 17)**2*(o + 151)/7
Find g such that g**2/2 + 4155*g/2 + 4153 = 0.
-4153, -2
Factor -l**2 - 707*l - 11730.
-(l + 17)*(l + 690)
Determine b so that -44715969*b**3 - 133773435*b**2 + 1122632*b - 2352 = 0.
-3, 28/6687
Factor 8*r**3 + 306718*r**2 + 2939834520*r - 734977800.
2*(r + 19170)**2*(4*r - 1)
Factor 2*z**4/19 - 2572*z**3/19 + 1148472*z**2/19 - 196053332*z/19 + 8073315622/19.
2*(z - 409)**3*(z - 59)/19
Let 5*m**5 + 190*m**4 + 1325*m**3 - 7340*m**2 - 30580*m + 36400 = 0. What is m?
-26, -14, -4, 1, 5
Suppose -f**2/4 - 667*f/4 + 8771 = 0. Calculate f.
-716, 49
Solve 242*q**3 + 39380*q**2 - 130824*q + 107568 = 0.
-166, 18/11
Factor 2*k**2/15 + 20*k/3 + 98/15.
2*(k + 1)*(k + 49)/15
Solve 3*v**4/4 + 14*v**3 - 449*v**2/4 + 325*v/2 = 0 for v.
-25, 0, 2, 13/3
Factor 2*r**3/3 - 36*r**2 - 6450*r.
2*r*(r - 129)*(r + 75)/3
Let -z**3/4 + 1743*z**2/4 - 1304*z - 1740 = 0. Calculate z.
-1, 4, 1740
Factor -2*j**2 + 24616*j - 73830.
-2*(j - 12305)*(j - 3)
Let 2*s**2/15 - 68052*s + 8683265070 = 0. What is s?
255195
Factor -z**4/2 + 15880*z**3 - 126103079*z**2 + 252158520*z - 252142641/2.
-(z - 15879)**2*(z - 1)**2/2
Factor 5*p**3 - 27825*p**2 + 38641875*p + 193905625.
5*(p - 2785)**2*(p + 5)
Factor u**2/4 + 217553*u + 47329307809.
(u + 435106)**2/4
Factor 4*r**3/5 - 8384*r**2/5.
4*r**2*(r - 2096)/5
Determine f so that f**3/3 - 10616*f**2 + 84503356*f + 1014549904/3 = 0.
-4, 15926
Find j, given that 2*j**5/17 + 1556*j**4/17 + 302588*j**3/17 - 42120*j**2/17 - 8255358*j/17 - 16342668/17 = 0.
-389, -3, 6
Find w such that -w**3/4 - 33*w**2 + 1741*w/4 + 468 = 0.
-144, -1, 13
What is f in 2*f**5 - 20874*f**4 + 54517648*f**3 - 272233480*f**2 + 435389952*f - 217653248 = 0?
1, 2, 5216
Factor -3*x**2/5 + 93*x + 11682/5.
-3*(x - 177)*(x + 22)/5
Determine z, given that z**2 - 507*z - 88228 = 0.
-137, 644
Factor 5*o**2/3 + 10270*o/3 + 186480.
5*(o + 56)*(o + 1998)/3
Find o such that 4761*o**4/5 - 27186*o**3/5 - 1636*o**2 - 120*o = 0.
-10/69, 0, 6
Factor 279*m**4 + 8364*m**3 + 62595*m**2 - 1350*m.
3*m*(m + 15)**2*(93*m - 2)
Factor c**2/3 - 201440*c/3 + 10144518400/3.
(c - 100720)**2/3
Suppose -5*p**4 + 3365*p**3 - 26505*p**2 - 63125*p - 33250 = 0. What is p?
-1, 10, 665
Factor -22*y**2 - 46782*y + 25524.
-2*(y + 2127)*(11*y - 6)
Factor 2*f**3/9 - 146*f**2/3 + 2080*f + 67200.
2*(f - 120)**2*(f + 21)/9
Factor -4*t**2 - 43428*t.
-4*t*(t + 10857)
What is v in -126*v**3/11 + 1740*v**2/11 + 54*v = 0?
-1/3, 0, 99/7
Find s, given that 2*s**5/3 - 6*s**4 - 386*s**3/3 + 1714*s**2/3 + 7904*s + 21632/3 = 0.
-8, -1, 13
Find w, given that w**5/5 + 183*w**4 + 1814*w**3/5 - 10964*w**2/5 - 7272*w/5 + 29216/5 = 0.
-913, -4, -2, 2
Factor -3*p**2/5 - 372*p/5 + 22176.
-3*(p - 140)*(p + 264)/5
Solve 245*c**2 - 408520*c + 170294480 = 0.
5836/7
Suppose -2*i**5 + 15114*i**4 + 15118*i**3 - 15114*i**2 - 15116*i = 0. What is i?
-1, 0, 1, 7558
Factor 2*b**2/7 + 1448*b/7 - 7590.
2*(b - 35)*(b + 759)/7
Determine d, given that -5*d**3 - 33025*d**2 + 66070*d = 0.
-6607, 0, 2
Find w, given that -4*w**4 - 568*w**3 - 1108*w**2 + 1680*w = 0.
-140, -3, 0, 1
Suppose -2*f**2/5 - 87972*f/5 + 87974/5 = 0. Calculate f.
-43987, 1
Factor 38*z**3 + 642*z**2 + 2592*z - 280.
2*(z + 7)*(z + 10)*(19*z - 2)
Factor 21*y**3 + 52674*y**2 - 37641*y - 15054.
3*(y - 1)*(y + 2509)*(7*y + 2)
Find l, given that -5*l**5 + 90*l**4 - 295*l**3 + 190*l**2 + 300*l - 280 = 0.
-1, 1, 2, 14
Factor 13*u**3/2 + 22294*u**2 + 38229065*u/2 - 2941225.
(u + 1715)**2*(13*u - 2)/2
Solve -2*k**3 - 69873*k**2/2 - 152574246*k - 38141378 = 0.
-8734, -1/4
Solve -147*b**3/2 + 5826891*b**2 + 3329670*b + 475668 = 0 for b.
-2/7, 79278
Let w**2 + 10401*w + 10400 = 0. What is w?
-10400, -1
Factor 4*a**3/9 - 428*a**2/9 + 3776*a/3.
4*a*(a - 59)*(a - 48)/9
Factor -8*l**3/11 + 13214*l**2/11 + 3304*l/11.
-2*l*(l - 1652)*(4*l + 1)/11
Solve -g**2/6 - 677*g/6 + 454 = 0 for g.
-681, 4
Factor -m**3 + 535*m**2 - 69647*m - 514087.
-(m - 271)**2*(m + 7)
Factor 2*x**3/7 - 48854*x**2/7 + 42658240*x - 468396544.
2*(x - 12208)**2*(x - 11)/7
Factor 3*w**2 + 1194*w - 6045.
3*(w - 5)*(w + 403)
Let d**3/4 + 5707*d**2/4 - 126017*d/4 + 120309/4 = 0. What is d?
-5729, 1, 21
Suppose -m**2/4 - 2692*m - 7246864 = 0. Calculate m.
-5384
Factor 2*i**3/7 - 162*i**2/7 - 3300*i/7 - 448.
2*(i - 98)*(i + 1)*(i + 16)/7
Factor -2*q**2/5 + 33856*q/5 - 143278592/5.
-2*(q - 8464)**2/5
Determine j, given that -5*j**5 - 1550*j**4 + 7830*j**3 - 14140*j**2 + 11015*j - 3150 = 0.
-315, 1, 2
Factor n**3/5 + 453*n**2/5 - 926*n.
n*(n - 10)*(n + 463)/5
Suppose -2*w**4 - 23340*w**3 - 90862512*w**2 - 118271443732*w - 1057100131854 = 0. What is w?
-3887, -9
Factor g**3/5 - 177*g**2/5 - 1093*g/5 - 183.
(g - 183)*(g + 1)*(g + 5)/5
Factor 2*s**3 + 5710*s**2 + 492168*s - 497880.
2*(s - 1)*(s + 90)*(s + 2766)
Find r such that 2*r**2/17 - 97560*r/17 + 1189744200/17 = 0.
24390
Suppose -z**2/9 + 78298*z/9 + 78301/3 = 0. What is z?
-3, 78301
Factor -3*d**2 + 36*d + 759.
-3*(d - 23)*(d + 11)
Factor -l**2 + 298*l + 10923.
-(l - 331)*(l + 33)
Find d such that 5*d**3 + 1410*d**2 - 90200*d + 174720 = 0.
-336, 2, 52
Find u, given that u**4/2 - 15*u**3 - 253*u**2/2 - 111*u = 0.
-6, -1, 0, 37
Factor y**3/2 - 35056*y**2 + 210317*y/2 + 350545.
(y - 70109)*(y - 5)*(y + 2)/2
Factor 87*b**3 - 13422*b**2 - 9765*b.
3*b*(b - 155)*(29*b + 21)
Determine i, given that -3*i**2/4 + 643743*i/2 = 0.
0, 429162
Factor -2*z**2/5 - 652844*z/5 - 53275661042/5.
-2*(z + 163211)**2/5
Find g, given that -2*g**4 + 31972*g**3 - 127744120*g**2 - 255616144*g = 0.
-2, 0, 7994
Determine f, given that 8*f**5/11 + 370*f**4/11 - 316*f**3/11 - 1574*f**2/11 + 1136*f/11 + 376/11 = 0.
-47, -2, -1/4, 1, 2
Factor -r**2/4 + 18603*r/2 - 18602.
-(r - 37204)*(r - 2)/4
Factor 5*b**2/2 + 2744*b - 12122.
(b + 1102)*(5*b - 22)/2
Factor -4*j**3 + 3156*j**2 + 9504*j.
-4*j*(j - 792)*(j + 3)
Factor -p**3/6 + 58*p**2/3 - 910*p/3 + 2744/3.
-(p - 98)*(p - 14)*(p - 4)/6
Find j, given that 33*j**3 + 522*j**2 + 1344*j - 5760 = 0.
-10, -8, 24/11
Suppose 1369*p**2/2 - 15984*p + 93312 = 0. What is p?
432/37
Solve -15*b**5/2 + 26313*b**4/2 + 71098*b**3/3 + 11706*b**2 + 3512*b/3 = 0 for b.
-1, -2/3, -2/15, 0, 1756
Factor -4*o**2 + 12776*o + 141020.
-4*(o - 3205)*(o + 11)
Factor -4*h**4/5 + 1772*h**3/5 - 41984*h**2 + 7503984*h/5.
-4*h*(h - 279)*(h - 82)**2/5
What is n in 4*n**4 + 76240*n**3 + 228696*n**2 + 228688*n + 76228 = 0?
-19057, -1
Factor k**2 - 561342*k + 1122680.
(k - 561340)*(k - 2)
Find q such that -2*q**2/7 - 2320180*q/7 - 672904404050/7 = 0.
-580045
Determine p, given that 2*p**5/11 + 560*p**4/11 + 3616*p**3/11 - 203264*p**2/11 - 761856*p/11 + 20054016/11 = 0.
-272, -16, 12
Suppose 38307*h**2/4 + 15255*h + 6075 = 0. What is h?
-90/113
Find y, given that 2*y**4/3 - 4754*y**3/3 + 6330*y**2 - 4746*y = 0.
0, 1, 3, 2373
Find v, given that 4*v**5 + 240*v**4 + 1184*v**3 - 6072*v**2 - 1188*v + 5832 = 0.
-54, -9, -1, 1, 3
Let 970*d**2 + 1932*d - 16 = 0. Calculate d.
-2, 4/485
Factor -5*o**2 - 9685*o.
-5*o*(o + 1937)
Factor -5*s**4 + 140*s**3 + 9360*s**2 - 419120*s + 4394000.
-5*(s - 26)**3*(s + 50)
Factor -m**3/3 - 124*m**2/3 - 1331*m/3 + 1456/3.
-(m - 1)*(m + 13)*(m + 112)/3
Factor -c**3 + 443*c**2 - 3044*c - 3488.
-(c - 436)*(c - 8)*(c + 1)
Find y, given that -21*y**4 - 15483*y**3 + 11076*y**2 + 4428*y = 0.
-738, -2/7, 0, 1
Factor -x**2 + 8108*x - 145620.
-(x - 8090)*(x - 18)
Determine m so that -22*m**5/3 + 20444*m**4/3 - 66668*m**3/3 - 3776*m**2/3 + 22230*m - 5556 = 0.
-1, 3/11, 1, 3, 926
Find t, given that 50*t**5 + 4430*t**4 - 15448*t**3 + 17592*t**2 - 6624*t = 0.
-92, 0, 1, 6/5
Let -3*p**3 - 1050*p**2 + 1143*p + 31590 = 0. C