67*j**3 - 3520*j**2 + 3536*j = 0. What is j?
-52, 0, 2, 68
Factor -2*q**3/17 - 231780*q**2/17 - 463554*q/17 - 231776/17.
-2*(q + 1)**2*(q + 115888)/17
Factor h**2/6 + 3433*h/6 - 3439.
(h - 6)*(h + 3439)/6
Solve 4*f**3 + 7172*f**2 - 21544*f + 14368 = 0 for f.
-1796, 1, 2
Factor -2*r**4/7 - 27320*r**3/7 - 13285222*r**2 + 2059168364*r/7.
-2*r*(r - 22)*(r + 6841)**2/7
Determine m so that -8*m**3/19 - 262*m**2/19 + 2306*m/19 - 560/19 = 0.
-40, 1/4, 7
Find x, given that 3*x**3 + 12879*x**2 + 13777200*x - 97072500 = 0.
-2150, 7
Solve 5*c**5/6 - 965*c**4/6 - 335*c**3/2 + 6785*c**2/6 + 500*c/3 - 970 = 0 for c.
-3, -1, 1, 2, 194
Determine o, given that o**2/3 + 170738*o + 21863598483 = 0.
-256107
Factor l**3 - 772*l**2 - 20579*l - 134862.
(l - 798)*(l + 13)**2
Factor j**2 + 401*j - 806.
(j - 2)*(j + 403)
Factor -28*x**3 + 4*x**2 + 5072*x + 5040.
-4*(x - 14)*(x + 1)*(7*x + 90)
Factor -4*m**2 + 78860*m + 78864.
-4*(m - 19716)*(m + 1)
Factor 2*f**3/15 + 568*f**2/15 + 17176*f/5 + 485184/5.
2*(f + 56)*(f + 114)**2/15
Determine l, given that -3*l**3 + 93*l**2 + 1632*l - 3612 = 0.
-14, 2, 43
Solve -8*y**3/5 + 108*y**2 - 2788*y/5 + 744 = 0 for y.
5/2, 3, 62
Let -x**4/9 + 140*x**3/9 - 2819*x**2/9 - 26012*x/9 - 7684/3 = 0. Calculate x.
-6, -1, 34, 113
Let 5*t**4 + 7730*t**3 + 756145*t**2 + 18745480*t - 19509360 = 0. What is t?
-1443, -52, 1
Solve 2*l**3/7 - 42*l**2 - 1124*l + 8160/7 = 0 for l.
-24, 1, 170
Let -5*j**4/2 - 13*j**3/2 + 3831*j**2/2 - 38655*j/2 + 7425 = 0. Calculate j.
-33, 2/5, 15
What is u in 4*u**3/7 + 78564*u**2/7 + 235664*u/7 + 157104/7 = 0?
-19638, -2, -1
Solve -q**3 - 608*q**2 - 607*q = 0.
-607, -1, 0
Suppose -8*p**5 - 190*p**4 - 1144*p**3 - 710*p**2 + 252*p = 0. What is p?
-14, -9, -1, 0, 1/4
Find l, given that l**4/8 + 9425*l**3/8 - 8253*l**2 = 0.
-9432, 0, 7
Factor 2*x**2/13 - 194*x/13 - 220.
2*(x - 110)*(x + 13)/13
Let m**3 - 142*m**2 + 1441*m = 0. What is m?
0, 11, 131
Solve -4*t**2 - 601316*t - 1202616 = 0 for t.
-150327, -2
Solve 2*o**2/7 - 5178*o/7 + 20680/7 = 0.
4, 2585
Suppose -y**2/2 + 7249*y - 304017/2 = 0. Calculate y.
21, 14477
Suppose -36*m**5 + 40260*m**4 - 10323388*m**3 - 533137940*m**2 + 724567424*m - 243043920 = 0. Calculate m.
-45, 2/3, 581
Solve -72*b**5 - 3336*b**4 - 22994*b**3 - 7388*b**2 - 608*b = 0 for b.
-38, -8, -1/6, 0
Factor 320*n**4/13 + 1926*n**3/13 + 36*n**2/13.
2*n**2*(n + 6)*(160*n + 3)/13
Solve 5*y**4 + 750*y**3 + 21835*y**2 + 21090*y = 0 for y.
-111, -38, -1, 0
Factor 4*f**2 + 37204*f + 37200.
4*(f + 1)*(f + 9300)
Factor -o**2 + 6287*o - 187710.
-(o - 6257)*(o - 30)
Suppose 3*n**2/4 + 24795*n/4 - 24807 = 0. What is n?
-8269, 4
Factor p**4 - 5944*p**3 - 5946*p**2 + 5944*p + 5945.
(p - 5945)*(p - 1)*(p + 1)**2
Let 2*t**5 + 34*t**4 - 212*t**3 + 176*t**2 = 0. Calculate t.
-22, 0, 1, 4
Suppose 5*p**2 - 187*p - 18924 = 0. Calculate p.
-228/5, 83
Suppose -2*y**3/15 - 788*y**2/15 - 6606*y/5 = 0. Calculate y.
-367, -27, 0
Factor -i**2 + 6931*i - 6930.
-(i - 6930)*(i - 1)
Let 5*d**4 - 690*d**3 + 18355*d**2 - 33990*d = 0. Calculate d.
0, 2, 33, 103
What is o in 2*o**4/17 + 16380*o**3/17 - 114730*o**2/17 + 13500*o - 131152/17 = 0?
-8197, 1, 2, 4
Determine l so that 2*l**4/5 + 44*l**3/5 - 30*l**2 = 0.
-25, 0, 3
Solve 4418*a**4 - 53768*a**3 + 231366*a**2 - 403200*a + 221184 = 0.
1, 3, 192/47
Determine i so that -i**4/2 - 1232*i**3 + 29677*i**2/2 - 43318*i + 29712 = 0.
-2476, 1, 3, 8
Factor -15*z**3 - 571000*z**2 - 5434206995*z - 3622550890.
-5*(z + 19033)**2*(3*z + 2)
Suppose -6612*p**4 - 132232*p**3 - 661040*p**2 + 800*p = 0. Calculate p.
-10, 0, 2/1653
Find l, given that -4*l**4/9 - 278*l**3/9 - 3314*l**2/9 + 1868*l/9 + 192 = 0.
-54, -16, -1/2, 1
Suppose 22*q**2 - 30350*q + 16548 = 0. Calculate q.
6/11, 1379
Suppose -2*y**2/3 - 42*y + 536/3 = 0. What is y?
-67, 4
Solve n**3 + 3848*n**2 + 15380*n + 15376 = 0.
-3844, -2
What is z in -16*z**2/5 + 5610*z - 3506/5 = 0?
1/8, 1753
Factor -a**4/7 - 41*a**3/7 - 153*a**2/7 - 187*a/7 - 74/7.
-(a + 1)**2*(a + 2)*(a + 37)/7
Find d such that -3*d**5 + 307*d**4/2 + 1247*d**3/2 + 501*d**2 - 326*d - 220 = 0.
-2, -1/2, 2/3, 55
Suppose 14*d**5/9 + 3616*d**4/9 - 64432*d**3/9 - 22316*d**2/9 + 64418*d/9 + 18700/9 = 0. What is d?
-275, -1, -2/7, 1, 17
Let -3*w**3 + 387*w**2 - 12420*w = 0. Calculate w.
0, 60, 69
Factor 2*f**3 + 2632*f**2 - 13210*f.
2*f*(f - 5)*(f + 1321)
Solve 94*i**2 - 908*i + 1248 = 0 for i.
78/47, 8
Determine p, given that -5*p**5 + 670*p**4 + 16175*p**3 + 15500*p**2 = 0.
-20, -1, 0, 155
Determine k so that -4*k**2 + 5276*k - 149640 = 0.
29, 1290
Determine p, given that 2*p**5/7 + 4*p**4/7 - 194*p**3/7 + 20*p**2 + 1056*p/7 = 0.
-11, -2, 0, 3, 8
Solve -4*a**3 + 5428*a**2 + 38192*a = 0 for a.
-7, 0, 1364
Factor -i**2/3 - 15008*i - 45023/3.
-(i + 1)*(i + 45023)/3
Determine x, given that 580*x**3/7 + 864*x**2/7 + 284*x/7 = 0.
-1, -71/145, 0
Suppose 2*k**2/11 + 148*k + 16080/11 = 0. Calculate k.
-804, -10
Suppose -x**4 - 5464*x**3 - 9953586*x**2 - 6048458784*x - 6038510661 = 0. What is x?
-1821, -1
Let -2*s**5/11 - 50*s**4 + 3364*s**3/11 - 2296*s**2/11 - 13424*s/11 + 17984/11 = 0. What is s?
-281, -2, 2, 4
Find t, given that 3*t**3/5 + 3477*t**2/5 + 219849*t + 51915771/5 = 0.
-551, -57
Find z such that -z**5/3 + 11*z**4 - 103*z**3/3 - 347*z**2 + 104*z/3 + 336 = 0.
-4, -1, 1, 9, 28
Let -4*g**5 + 1840*g**4 + 18732*g**3 + 31928*g**2 + 15040*g = 0. Calculate g.
-8, -1, 0, 470
Determine a so that -25*a**5 - 705*a**4 - 4199*a**3 + 9229*a**2 - 5184*a + 884 = 0.
-17, -13, 2/5, 1
Let 13*b**2/3 - 4438*b + 2048/3 = 0. What is b?
2/13, 1024
Factor -3*i**3 + 44508*i**2 - 165080172*i.
-3*i*(i - 7418)**2
Suppose -4*g**4 - 38232*g**3 - 91584468*g**2 - 1094888016*g - 3280540176 = 0. Calculate g.
-4773, -6
Find g, given that -2*g**3/17 + 62*g**2/17 - 560*g/17 + 1176/17 = 0.
3, 14
Find v such that 2*v**4 + 38*v**3 - 30638*v**2 + 91618*v - 61020 = 0.
-135, 1, 2, 113
Solve 3*j**2 + 135006*j + 1518885003 = 0.
-22501
Solve -5*w**4/2 - 1375*w**3 - 4110*w**2 - 4105*w - 2735/2 = 0 for w.
-547, -1
Factor x**2/4 + 1301*x/4 + 4529/2.
(x + 7)*(x + 1294)/4
Factor -2*w**2 - 6274*w + 119928.
-2*(w - 19)*(w + 3156)
Determine r, given that -17*r**4/4 - 63*r**3/8 - 3*r**2 + 5*r/8 = 0.
-1, 0, 5/34
Suppose 35*j**5 + 3420*j**4 - 19040*j**3 + 1730*j**2 + 19005*j - 5150 = 0. Calculate j.
-103, -1, 2/7, 1, 5
Factor 3*q**4 - 960*q**3 - 2934*q**2 + 8736*q - 4845.
3*(q - 323)*(q - 1)**2*(q + 5)
Factor -z**3/4 - 55*z**2 + 277*z/4 + 3094.
-(z - 8)*(z + 7)*(z + 221)/4
What is w in -7*w**4 - 13281*w**3 - 3787*w**2 + 13281*w + 3794 = 0?
-1897, -1, -2/7, 1
Determine h, given that -21*h**4 + 243*h**3 - 576*h**2 - 372*h + 1440 = 0.
-10/7, 2, 3, 8
Solve -4*d**4 + 368*d**3 - 3728*d**2 - 8960*d = 0.
-2, 0, 14, 80
Find a such that -6*a**4 + 118*a**3 - 172*a**2 - 152*a + 144 = 0.
-1, 2/3, 2, 18
Factor -4*k**3 - 4497*k**2 + 16924*k + 4512.
-(k - 4)*(k + 1128)*(4*k + 1)
Solve p**4 - 68*p**3 - 2005*p**2 + 2204*p + 4140 = 0 for p.
-23, -1, 2, 90
Find c, given that -2*c**5 - 16*c**4 + 262*c**3 + 1996*c**2 - 2680*c - 4400 = 0.
-10, -1, 2, 11
Determine r so that -4*r**2 - 1868*r - 12880 = 0.
-460, -7
Factor -18*i**2 - 1642*i - 1624.
-2*(i + 1)*(9*i + 812)
Suppose 1356*w**4 - 4082*w**3 + 42*w**2 + 5424*w - 56 = 0. Calculate w.
-1, 7/678, 2
Suppose j**5 - 566*j**4 - 584*j**3 + 9654*j**2 - 8505*j = 0. What is j?
-5, 0, 1, 3, 567
Suppose 4*n**3 + 2408*n**2 + 459264*n + 28229760 = 0. What is n?
-290, -156
Factor 5*j**2 + 5400*j.
5*j*(j + 1080)
Factor 2*j**4 + 8390*j**3 + 25156*j**2 + 16768*j.
2*j*(j + 1)*(j + 2)*(j + 4192)
Find d, given that 4*d**3 - 8968*d**2 + 4144452*d + 1029023424 = 0.
-176, 1209
What is x in -4*x**4/13 + 214*x**3/13 + 62*x**2 - 456*x/13 = 0?
-4, 0, 1/2, 57
Let -z**3/2 - 365*z**2/2 - 13523*z/2 + 13889/2 = 0. What is z?
-323, -43, 1
Factor l**2/3 - 116482*l/3 + 3392014081/3.
(l - 58241)**2/3
Factor -u**4/4 + 161*u**3/4 - 6715*u**2/4 + 18723*u/4.
-u*(u - 79)**2*(u - 3)/4
Solve 3*t**5/7 + 297*t**4/7 - 3564*t**3/7 + 7440*t**2/7 + 19584*t/7 - 23760/7 = 0 for t.
-110, -2, 1, 6
Factor h**3/3 + 173125*h**2/3 - 173126*h/3.
h*(h - 1)*(h + 173126)/3
Solve -2*i**3/3 - 10*i**2/3 + 292*i - 1872 = 0 for i.
-26, 9, 12
Factor 3*f**2/8 - 3535*f/2 - 2357/2.
(f - 4714)*(3*f + 2)/8
Factor 4*z**2 + 69628*z - 487592.
4*(z - 7)*(z + 17414)
Factor