-5*x**2*(x - 9429)*(x + 1)/4
Factor -2*s**2/3 - 5678*s/3 + 9480.
-2*(s - 5)*(s + 2844)/3
Find a, given that -a**3 + 2719*a**2 - 24408*a + 48780 = 0.
3, 6, 2710
Factor -x**2/3 + 1519*x/3 + 39850.
-(x - 1594)*(x + 75)/3
Solve 3*t**2/8 + 383823*t/8 - 191913/4 = 0.
-127942, 1
Factor o**2/4 + 2787*o/4 - 4185/2.
(o - 3)*(o + 2790)/4
Let -2*i**5/15 - 96*i**4/5 + 5092*i**3/15 - 1504*i**2/5 - 1018*i/3 + 320 = 0. What is i?
-160, -1, 1, 15
Factor 2*j**3 + 88*j**2 - 1032*j + 2592.
2*(j - 6)*(j - 4)*(j + 54)
Factor -2*k**4/9 - 168560*k**3/3 - 3551615386*k**2 - 63927054244*k/9.
-2*k*(k + 2)*(k + 126419)**2/9
Determine r so that r**4/7 + 5799*r**3/7 - 23207*r**2/7 + 29013*r/7 - 1658 = 0.
-5803, 1, 2
What is q in 12*q**5 + 74836*q**4 + 116613180*q**3 - 194513316*q**2 + 77825288*q = 0?
-3119, 0, 2/3, 1
Find v, given that -v**5/6 + 42*v**4 - 14591*v**3/6 + 6668*v**2/3 + 9730*v - 28688/3 = 0.
-2, 1, 2, 88, 163
Solve -5*w**5 + 25*w**4 + 875*w**3 + 2375*w**2 + 1530*w = 0.
-9, -2, -1, 0, 17
Factor -h**5/10 - 954*h**4/5 - 121539*h**3 - 25967690*h**2 - 153628725*h/2.
-h*(h + 3)*(h + 635)**3/10
Factor -4*p**3 + 78176*p**2 - 1562320*p + 7809600.
-4*(p - 19524)*(p - 10)**2
Determine l so that -l**3/2 - 9*l**2/2 + 11*l = 0.
-11, 0, 2
Factor x**2/3 - 11164*x/3 - 7444.
(x - 11166)*(x + 2)/3
Determine m, given that 12*m**5 - 340*m**4 + 3208*m**3 - 11448*m**2 + 11116*m - 2548 = 0.
1/3, 1, 7, 13
Suppose 3*h**2 + 2052*h - 20820 = 0. Calculate h.
-694, 10
Let -3*b**3 + 3702*b**2 - 29472*b + 58848 = 0. What is b?
4, 1226
Factor 5*w**2 + 345*w + 4750.
5*(w + 19)*(w + 50)
Let -2*d**4 + 8*d**3 + 38*d**2 + 28*d = 0. Calculate d.
-2, -1, 0, 7
Find t such that -t**2 + 1943*t - 11622 = 0.
6, 1937
Let -3*p**3/7 - 91671*p**2/7 - 700343520*p/7 - 700251852/7 = 0. What is p?
-15278, -1
Solve 3*t**5 + 4686*t**4 - 32964*t**3 - 23310*t**2 + 353025*t = 0 for t.
-1569, -3, 0, 5
Factor u**4 - 1604*u**3 + 6404*u**2 - 6400*u.
u*(u - 1600)*(u - 2)**2
Determine c, given that 2*c**4 + 3390*c**3 - 13606*c**2 - 23766*c + 33980 = 0.
-1699, -2, 1, 5
Solve q**5/7 - 92*q**4 + 101662*q**3/7 + 674808*q**2/7 - 6724575*q/7 + 11407500/7 = 0.
-12, 3, 325
Find a such that -10*a**4 + 654*a**3 + 400*a**2 - 264*a = 0.
-1, 0, 2/5, 66
Let -47*r**5/9 + 793*r**4/9 - 650*r**3/9 - 32*r**2/3 = 0. What is r?
-6/47, 0, 1, 16
Determine c, given that c**3/7 - 190*c**2/7 + 7729*c/7 = 0.
0, 59, 131
Determine v so that 2*v**5/19 - 504*v**4/19 - 41290*v**3/19 + 265944*v**2/19 + 41288*v/19 - 265440/19 = 0.
-70, -1, 1, 6, 316
Factor -y**2/7 - 148*y/7 + 11232.
-(y - 216)*(y + 364)/7
Suppose 98*k**5/17 + 476*k**4 - 11864*k**3/17 - 8752*k**2/17 - 1344*k/17 = 0. What is k?
-84, -2/7, 0, 2
Suppose 4*o**2 + 112*o + 684 = 0. What is o?
-19, -9
Find d, given that -d**3 - 10*d**2 + 129*d - 270 = 0.
-18, 3, 5
Solve -r**2/4 - 5849*r/2 - 34210801/4 = 0.
-5849
Find v, given that 2*v**4 - 130*v**3 + 1876*v**2 - 5720*v - 7728 = 0.
-1, 6, 14, 46
Solve -2*a**4/17 + 190*a**3/17 + 25012*a**2/17 = 0.
-74, 0, 169
Let 41*f**5 - 230*f**4 - 2064*f**3 - 3802*f**2 - 2537*f - 528 = 0. Calculate f.
-3, -1, -16/41, 11
Factor -c**2/7 + 4522*c - 35784847.
-(c - 15827)**2/7
Factor 450*a**3 - 6755*a**2 - 97125*a + 1080.
5*(a - 24)*(a + 9)*(90*a - 1)
Determine c, given that -95*c**2 - 159805*c - 25230 = 0.
-1682, -3/19
Let -21*z**2 - 16272*z + 2325 = 0. What is z?
-775, 1/7
Suppose -12*m**2 - 257018*m - 42836 = 0. Calculate m.
-21418, -1/6
Determine t, given that -t**2/2 + 1320*t = 0.
0, 2640
Solve z**4 + 22*z**3 - 507*z**2 - 2156*z + 41140 = 0.
-34, -10, 11
Factor -a**2 + 3873*a - 23202.
-(a - 3867)*(a - 6)
What is a in 2*a**2 - 2230*a + 17712 = 0?
8, 1107
Suppose -j**4 - 1346*j**3 - 464865*j**2 - 8022448*j - 28658240 = 0. What is j?
-664, -13, -5
Find g such that 4*g**5 - 460*g**4 - 2436*g**3 + 3996*g**2 + 38448*g + 51840 = 0.
-3, 4, 120
Factor 4*x**2/7 - 148912*x/7 + 1385923984/7.
4*(x - 18614)**2/7
What is p in -2*p**3 - 62*p**2 + 4130*p - 18850 = 0?
-65, 5, 29
Let 65*y**4/4 - 495*y**3 + 2305*y**2 + 5280*y - 2880 = 0. What is y?
-2, 6/13, 8, 24
Factor -a**2/5 - 38561*a/5.
-a*(a + 38561)/5
Factor -2*d**2 - 640204*d - 51232645202.
-2*(d + 160051)**2
Find y such that -9*y**5 - 939*y**4 + 15881*y**3 + 161719*y**2 + 48440*y - 34692 = 0.
-118, -7, -2/3, 1/3, 21
Factor 5*r**2 - 349440*r - 698900.
5*(r - 69890)*(r + 2)
Factor -118*p**2 - 2408*p - 960.
-2*(p + 20)*(59*p + 24)
Factor 3*q**4 - 4926*q**3 - 9861*q**2 - 4932*q.
3*q*(q - 1644)*(q + 1)**2
Let -4*x**2 - 36720*x - 696236 = 0. Calculate x.
-9161, -19
Suppose -4*q**2 + 52040*q - 623904 = 0. What is q?
12, 12998
Factor 4*w**3 + 867*w**2 - 16902*w.
w*(w - 18)*(4*w + 939)
What is o in 204796*o**4 + 1228780*o**3 + 1843188*o**2 + 36*o = 0?
-3, -1/51199, 0
Determine a, given that 25*a**5 + 4960*a**4 - 13009*a**3 + 11240*a**2 - 3216*a = 0.
-201, 0, 4/5, 1
Solve -2*b**5/21 + 170*b**4/21 - 650*b**3/21 + 50*b**2/7 + 324*b/7 = 0 for b.
-1, 0, 2, 3, 81
Let 3*q**5/5 - 21*q**4/5 - 11871*q**3/5 - 56727*q**2 - 744876*q/5 = 0. What is q?
-33, -3, 0, 76
Factor 2*s**3 + 2*s**2 - 74*s + 70.
2*(s - 5)*(s - 1)*(s + 7)
Solve -3*b**2 - 550824*b - 25283923248 = 0.
-91804
Suppose 5*v**2 - 216000*v + 215995 = 0. Calculate v.
1, 43199
Determine m, given that 4*m**5 + 304*m**4 - 2288*m**3 + 3016*m**2 + 2284*m - 3320 = 0.
-83, -1, 1, 2, 5
Let 2*c**3 - 164*c**2 - 1110*c + 4752 = 0. What is c?
-9, 3, 88
Determine k so that -k**5/2 - 131*k**4 - 517*k**3/2 + 394*k**2 + 1042*k + 520 = 0.
-260, -2, -1, 2
Suppose i**4/8 - 73*i**3/4 + 1295*i**2/2 + 1369*i = 0. What is i?
-2, 0, 74
Let -156645*d**5 + 80049135*d**4 - 1808960*d**3 + 10220*d**2 = 0. Calculate d.
0, 2/177, 511
Let -f**4 + 220*f**3 - 6576*f**2 - 656240*f - 1284400 = 0. Calculate f.
-38, -2, 130
Determine z so that -45*z**3 - 10270*z**2 - 32725*z - 22500 = 0.
-225, -20/9, -1
Suppose 2*y**2/11 + 132384*y/11 + 2190690432/11 = 0. What is y?
-33096
Factor 5571*c**2 - 16715*c/3 + 2/3.
(c - 1)*(16713*c - 2)/3
What is m in 5*m**5/2 + 4321*m**4 + 12081*m**3/2 - 6910*m**2 - 3454*m = 0?
-1727, -2, -2/5, 0, 1
Find r such that 5*r**5 - 19550*r**4 + 253300*r**3 + 19550*r**2 - 253305*r = 0.
-1, 0, 1, 13, 3897
Let t**2/10 + 731*t/5 - 4431/2 = 0. What is t?
-1477, 15
Determine h, given that 196*h**4/5 + 2128*h**3 + 166149*h**2/5 + 107433*h - 142830 = 0.
-345/14, -6, 1
Factor 3*l**3/7 + 4716*l**2/7 + 1843920*l/7 - 7451328/7.
3*(l - 4)*(l + 788)**2/7
Let -n**2/7 + 56850*n/7 - 807980625/7 = 0. Calculate n.
28425
Factor -5*m**3 - 253925*m**2 - 3223768315*m + 3224022245.
-5*(m - 1)*(m + 25393)**2
Find n, given that -2*n**4/11 + 20*n**3/11 + 206*n**2/11 - 224*n/11 = 0.
-7, 0, 1, 16
Suppose 2*d**3 - 47587*d**2/2 + 130831*d/2 + 17841 = 0. What is d?
-1/4, 3, 11894
Let p**5/10 + 21*p**4 + 2235*p**3/2 + 983*p**2 - 60528*p + 292032/5 = 0. What is p?
-104, -9, 1, 6
Determine c so that -3*c**3 + 1041*c**2 + 3234*c - 29400 = 0.
-7, 4, 350
Determine d, given that 17*d**4/3 + 19*d**3/3 - 80*d**2 - 144*d = 0.
-3, -36/17, 0, 4
Factor 4*j**2 + 192*j - 41796.
4*(j - 81)*(j + 129)
Factor 21*l**4 + 531*l**3 + 2250*l**2 + 600*l.
3*l*(l + 5)*(l + 20)*(7*l + 2)
Let -15*i**3/2 + 1293*i**2 - 55986*i + 22188 = 0. Calculate i.
2/5, 86
Factor 3*a**3 - 249*a**2 - 23940*a.
3*a*(a - 140)*(a + 57)
Solve -24500*o**3 + 22122800*o**2 + 632095*o + 4515 = 0.
-1/70, 903
Solve m**2/3 + 61502*m/3 + 945624001/3 = 0.
-30751
Factor 3*a**2/5 + 11607*a/5 + 527574/5.
3*(a + 46)*(a + 3823)/5
Solve 5*b**5/4 - 15*b**4/2 + 35*b**3/4 + 15*b**2/2 - 10*b = 0.
-1, 0, 1, 2, 4
Factor -87*q**2 - 7674*q - 1584.
-3*(q + 88)*(29*q + 6)
Factor 5*n**3 + 395*n**2 + 7020*n.
5*n*(n + 27)*(n + 52)
Determine w so that 2*w**3/7 - 1614*w**2/7 + 152380*w/7 - 150768/7 = 0.
1, 108, 698
Suppose 2*q**5/3 - 18*q**4 - 2252*q**3/3 - 3300*q**2 - 1746*q + 5814 = 0. What is q?
-19, -3, 1, 51
Solve 2*q**5/9 + 1120*q**4/9 - 10*q**3/9 - 5600*q**2/9 + 8*q/9 + 4480/9 = 0.
-560, -2, -1, 1, 2
Suppose -g**3/4 + 9*g**2/4 - 9*g/2 = 0. Calculate g.
0, 3, 6
Factor 4*r**2 + 191052*r.
4*r*(r + 47763)
Factor 2*c**2/3 - 13574*c.
2*c*(c - 20361)/3
Determine g, given that 3*g**2 + 15*g - 3348 = 0.
-36, 31
Suppose 2*n**4 + 235*n**3/7 - 471*n**2/7 - 2934*n/7 + 648/7 = 0. What is n?
-18, -3, 3/14, 4
Factor 2*b**3 + 752*b**2 - 61550*b - 62300.
2*(b - 70)*(b + 1)*(b + 445)
Let 3*k**4 - 7065*k**3 + 4246425*