1, 5427
Factor -3*k**2 + 2352*k - 61317.
-3*(k - 757)*(k - 27)
Find a, given that -200*a**3 + 228665*a**2 - 74300*a + 5715 = 0.
1/8, 1/5, 1143
Find a, given that -3*a**5/5 - 1584*a**4/5 - 290373*a**3/5 - 20356056*a**2/5 - 347239872*a/5 - 327172608/5 = 0.
-168, -23, -1
Factor a**2/2 - 19484*a + 189813128.
(a - 19484)**2/2
Determine y so that -5*y**5/2 + 1591*y**4/4 + 1449*y**3/4 - 1435*y**2/4 - 803*y/4 + 120 = 0.
-1, 1/2, 3/5, 160
Factor -u**3 - 14*u**2 - 7*u + 78.
-(u - 2)*(u + 3)*(u + 13)
Find t, given that -21*t**2/4 + 67047*t/2 + 19158 = 0.
-4/7, 6386
Determine j, given that 2*j**5/7 + 116*j**4/7 - 1894*j**3/7 + 8616*j**2/7 - 12024*j/7 + 5184/7 = 0.
-72, 1, 6
Suppose -k**2 - 832*k + 14433 = 0. What is k?
-849, 17
Find i, given that -2*i**5 + 156362*i**4 - 156358*i**3 - 156362*i**2 + 156360*i = 0.
-1, 0, 1, 78180
Solve -4*g**5/3 - 2344*g**4/3 - 4652*g**3 - 20896*g**2/3 - 9280*g/3 = 0.
-580, -4, -1, 0
Factor -2*q**2/3 - 4102*q/3 - 4100/3.
-2*(q + 1)*(q + 2050)/3
Let 3*f**3 + 51*f**2 - 486*f + 432 = 0. Calculate f.
-24, 1, 6
Suppose 5601*b**4 + 22401*b**3 + 27993*b**2 + 11187*b - 6 = 0. What is b?
-2, -1, 1/1867
Find r such that -4*r**2 + 5948*r/3 - 27496/3 = 0.
14/3, 491
Suppose 4*n**3/3 + 21748*n**2 = 0. Calculate n.
-16311, 0
Suppose -93*f**3 + 2964*f**2 + 84084*f + 10800 = 0. Calculate f.
-18, -4/31, 50
Find d such that -2*d**3/7 - 156*d**2/7 - 3190*d/7 - 5772/7 = 0.
-39, -37, -2
What is o in 3505*o**2 - 4550*o + 1045 = 0?
209/701, 1
Factor -3*a**2/7 + 9426*a/7 + 38040.
-3*(a - 3170)*(a + 28)/7
Determine b, given that -2*b**5/15 + 1018*b**4/5 - 390144*b**3/5 + 3483856*b**2/15 + 4064*b/5 - 1548384/5 = 0.
-1, 2, 762
Suppose 2*f**3 + 44*f**2 - 1294*f + 1248 = 0. What is f?
-39, 1, 16
Solve 2*g**5/3 - 124*g**3/3 - 64*g**2 + 1130*g/3 + 400 = 0 for g.
-5, -1, 3, 8
Let y**2/9 - 2*y/3 - 832/9 = 0. Calculate y.
-26, 32
Factor 5*v**3 - 475*v**2 - 64980*v.
5*v*(v - 171)*(v + 76)
Suppose -d**2/2 - 4797*d - 95740 = 0. Calculate d.
-9574, -20
Factor -v**2/3 + 302*v/3 - 200.
-(v - 300)*(v - 2)/3
Find b such that -3*b**2/2 + 1247*b/4 + 52 = 0.
-1/6, 208
Suppose -197*d**3/3 + 397*d**2/6 + 785*d/6 - 1 = 0. Calculate d.
-1, 3/394, 2
Factor 12*o**3 - 27920*o**2 - 37264*o + 37248.
4*(o - 2328)*(o + 2)*(3*o - 2)
What is x in 2*x**3/7 + 76*x**2 = 0?
-266, 0
Let 7*g**3/2 + 53787*g**2/2 + 51659532*g - 7380482 = 0. Calculate g.
-3842, 1/7
Factor -s**3 - 836*s**2 + 4211*s + 5046.
-(s - 6)*(s + 1)*(s + 841)
Find q such that 3*q**3 + 1558413*q**2 - 3*q - 1558413 = 0.
-519471, -1, 1
Solve -2*j**5 + 6620*j**4 + 159702*j**3 + 1099736*j**2 + 1613656*j = 0 for j.
-11, -2, 0, 3334
Determine o, given that -o**2/6 - 140210*o/3 - 9829422050/3 = 0.
-140210
Factor 2*a**3/7 - 270600*a**2/7 + 9153045000*a/7.
2*a*(a - 67650)**2/7
Factor 4*s**2/9 + 2636*s/9 - 29480/9.
4*(s - 11)*(s + 670)/9
Find l such that -5*l**2 + 237525*l - 475030 = 0.
2, 47503
What is f in 5*f**5/6 - 82*f**4/3 - 907*f**3/6 + 2489*f**2/3 - 3140*f/3 + 1184/3 = 0?
-8, 4/5, 1, 2, 37
Factor p**4/2 - 28*p**3/3 + 29*p**2/2 - 17*p/3.
p*(p - 17)*(p - 1)*(3*p - 2)/6
Factor -4*y**3 - 80*y**2 + 10836*y.
-4*y*(y - 43)*(y + 63)
What is y in -2*y**3 - 176284*y**2 - 352562*y - 176280 = 0?
-88140, -1
Factor a**3 - 3067*a**2 - 417912*a - 13934844.
(a - 3199)*(a + 66)**2
Factor -4*d**3 - 520*d**2 - 16348*d + 16872.
-4*(d - 1)*(d + 57)*(d + 74)
What is i in 3*i**3/2 + 1805*i**2/2 + 601*i = 0?
-601, -2/3, 0
Determine v so that -3*v**3/2 - 37830*v**2 - 238518150*v = 0.
-12610, 0
Suppose 20*r**5 - 11376*r**4 + 1599356*r**3 + 5209776*r**2 + 3599024*r = 0. Calculate r.
-11/5, -1, 0, 286
Suppose -a**4/2 - 295*a**3/2 - 1012*a**2 - 1144*a + 2304 = 0. Calculate a.
-288, -4, 1
Determine c, given that -5*c**3 - 340*c**2 + 93975*c + 7827750 = 0.
-105, 142
Let 4*q**2/3 - 3484*q + 826848 = 0. Calculate q.
264, 2349
Factor 2*s**2/5 + 1732156*s/5 + 375045551042/5.
2*(s + 433039)**2/5
Solve -97*u**3/2 + 4407*u**2 - 17046*u + 16852 = 0 for u.
2, 8426/97
Factor -5*y**2 - 19750*y - 897920.
-5*(y + 46)*(y + 3904)
Factor -2*b**3/7 - 7666*b**2/7 - 7357430*b/7 - 22003350/7.
-2*(b + 3)*(b + 1915)**2/7
Factor -c**2/10 + 2182*c/5 - 4362/5.
-(c - 4362)*(c - 2)/10
Factor 4*z**2 + 718456*z + 32261188996.
4*(z + 89807)**2
Solve -2*r**5/7 - 166*r**4/7 - 4184*r**3/7 - 28968*r**2/7 - 1728*r/7 + 155520/7 = 0.
-36, -10, -3, 2
Factor 5*y**4 - 6480*y**3 + 2099500*y**2 + 25920*y - 8398080.
5*(y - 648)**2*(y - 2)*(y + 2)
Suppose -2*o**4 + 2397*o**3 - 730584*o**2 + 7366788*o + 12702096 = 0. What is o?
-3/2, 12, 594
Find c such that 21609000*c**5 + 128933700*c**4 - 4467330*c**3 - 863541*c**2 + 57672*c - 972 = 0.
-6, -2/21, 3/70
Solve p**2 - 22122*p + 122345721 = 0.
11061
Solve 2*p**4/3 + 34558*p**3/3 - 57608*p**2 + 276536*p/3 - 138272/3 = 0.
-17284, 1, 2
What is q in -2*q**5/3 + 112*q**4/3 + 176*q**3/3 - 3532*q**2/3 - 58*q + 1140 = 0?
-6, -1, 1, 5, 57
Let -4*g**2/9 + 56627*g/9 + 1573 = 0. What is g?
-1/4, 14157
Suppose g**4/3 - 3056*g**3/9 + 32275*g**2/9 - 19142*g/9 - 1120 = 0. Calculate g.
-1/3, 1, 10, 1008
Factor 2*a**3/5 + 87514*a**2/5 + 957293766*a/5 - 957381282/5.
2*(a - 1)*(a + 21879)**2/5
Determine h, given that h**5 - 792*h**4 + 149324*h**3 + 3050322*h**2 - 19735245*h - 22635450 = 0.
-23, -1, 6, 405
Let -2*q**5/5 + 8*q**4 + 92*q**3/5 - 560*q**2 - 2370*q - 1800 = 0. What is q?
-5, -4, -1, 15
Solve x**2 - 38*x - 600 = 0.
-12, 50
Factor 4*s**3/5 - 1336*s**2/5 + 25648*s - 760480.
4*(s - 194)*(s - 70)**2/5
Determine y so that y**3/3 - 143*y**2/3 - 436*y/3 - 292/3 = 0.
-2, -1, 146
Factor 13*w**3 - 186*w**2 + 485*w - 132.
(w - 11)*(w - 3)*(13*w - 4)
Solve 2*m**3/19 + 408*m**2/19 = 0 for m.
-204, 0
Factor -2*b**2/5 - 55408*b/5 - 383755808/5.
-2*(b + 13852)**2/5
Solve -2*p**3/11 + 742*p**2/11 - 69678*p/11 + 1944810/11 = 0 for p.
63, 245
Factor 327*k**3 - 653*k**2 + 325*k + 1.
(k - 1)**2*(327*k + 1)
Factor -3*n**3/4 + 48993*n**2/4 - 97977*n/4 + 48987/4.
-3*(n - 16329)*(n - 1)**2/4
Factor 4*k**3/3 + 252*k**2 - 73288*k/3 + 47840.
4*(k - 69)*(k - 2)*(k + 260)/3
Determine n, given that 4*n**5 + 152*n**4 + 340*n**3 - 25152*n**2 - 25344*n = 0.
-24, -1, 0, 11
Suppose -10*j**3 + 369*j**2 - 3083*j - 312 = 0. Calculate j.
-1/10, 13, 24
Let 11*n**5 + 83367*n**4 + 68024*n**3 - 1348632*n**2 + 1909616*n - 303120 = 0. Calculate n.
-7578, -5, 2/11, 2
What is f in f**3/4 - 681*f**2/2 + 5400*f - 21536 = 0?
8, 1346
Find d, given that 7*d**3/6 + 19*d**2/3 - 73*d/6 + 14/3 = 0.
-7, 4/7, 1
Factor w**2/4 + 181315*w/4.
w*(w + 181315)/4
Factor 2*l**2/9 - 256*l/9 - 16264.
2*(l - 342)*(l + 214)/9
Factor -d**2 - 207*d - 1970.
-(d + 10)*(d + 197)
What is c in 2*c**2/9 - 1340*c/3 - 68918/9 = 0?
-17, 2027
Determine m so that 4*m**2/5 - 1132*m/5 + 79128/5 = 0.
126, 157
Find j such that -j**3/5 + 54*j**2 - 3377*j/5 + 9252/5 = 0.
4, 9, 257
Factor i**3/11 + 438*i**2/11 - 3588*i/11 - 8920/11.
(i - 10)*(i + 2)*(i + 446)/11
Determine o, given that 3*o**5 + 29886*o**4 + 74371266*o**3 - 298053108*o**2 - 222934437*o + 1340835606 = 0.
-4983, -2, 3
Factor g**3/2 + 7755*g**2/2 + 88906*g - 92784.
(g - 1)*(g + 24)*(g + 7732)/2
What is d in d**4 + 10*d**3 - 3*d**2 - 28*d + 20 = 0?
-10, -2, 1
Solve -850084*t**5 - 174263532*t**4 - 9016935036*t**3 - 8805152452*t**2 + 38327520*t - 41616 = 0 for t.
-102, -1, 1/461
Factor 4*z**3 + 5884*z**2 - 5896*z - 11776.
4*(z - 2)*(z + 1)*(z + 1472)
Find a, given that -3*a**4 + 2442*a**3 - 504207*a**2 + 2950008*a - 2448240 = 0.
1, 5, 404
Let 5*w**3 + 1660*w**2 + 11375*w = 0. What is w?
-325, -7, 0
Find v, given that -5*v**3 + 5678*v**2 + 30807*v = 0.
-27/5, 0, 1141
Factor 2*t**2 - 57414*t - 57416.
2*(t - 28708)*(t + 1)
Determine n so that -15*n**5 - 5125*n**4 - 420845*n**3 + 2958125*n**2 + 7158360*n + 3784500 = 0.
-174, -1, 25/3
Solve 4*a**2 + 97292*a = 0.
-24323, 0
What is w in 2*w**2 + 984*w + 121032 = 0?
-246
Factor -2*h**3/5 + 10552*h**2/5 + 31674*h/5.
-2*h*(h - 5279)*(h + 3)/5
Solve 3*j**3/4 - 55575*j**2/4 + 499446*j - 4492827 = 0 for j.
18, 18489
Determine m so that 11025*m**4 - 49420*m**3 + 45040*m**2 + 19120*m + 560 = 0.
-2/7, -2/63, 2, 14/5
Let -5*h**4 - 155*h**3 + 960*h**2 + 1980*h - 6480 = 0. Calculate h.
-36, -3, 2, 6
Factor 2*l**2 - 5009820*l + 3137287054050.
2*(l - 1252455)**2
Factor 5*a**2 + 2310*a - 55775.
5*(a - 23)*(a + 485)
Factor -2*x**3/9 + 58*x**2/9 - 30*x - 154.