 -2*y**2/13 + 508*y/13 - 8930/13.
-2*(y - 235)*(y - 19)/13
Suppose 48*t**5/5 + 6036*t**4/5 + 197844*t**3/5 + 506613*t**2/5 + 223983*t/5 - 90774/5 = 0. What is t?
-123/2, -2, -1, 1/4
Find b such that 8875*b**4 - 10*b**3 - 106500*b**2 - 141880*b + 160 = 0.
-2, 2/1775, 4
Factor 2*g**2 + 16524*g/7 + 4720/7.
2*(g + 1180)*(7*g + 2)/7
Factor 2*u**3 + 4562*u**2 - 2*u - 4562.
2*(u - 1)*(u + 1)*(u + 2281)
Suppose 2*r**5 + 237*r**4 - 2168*r**3 - 1143*r**2 = 0. Calculate r.
-127, -1/2, 0, 9
Solve 7*z**3/5 + 702*z**2/5 + 3540*z + 1000 = 0.
-50, -2/7
What is v in -4*v**4 + 633*v**3 + 1761*v**2 + 1607*v + 483 = 0?
-1, -3/4, 161
Suppose 120*s**5 + 35636*s**4 - 146272*s**3 - 176952*s**2 + 10856*s + 6020 = 0. What is s?
-301, -1, -1/6, 1/5, 5
What is q in 7*q**3 + 11*q**2 + q - 3 = 0?
-1, 3/7
Suppose 2*i**5/19 - 1426*i**4/19 + 596*i**3 - 31068*i**2/19 + 1782*i - 12690/19 = 0. What is i?
1, 3, 705
Solve 2*s**2/5 - 246*s/5 - 364 = 0 for s.
-7, 130
Factor -2*k**3/5 + 4858*k**2/5 - 19408*k/5 + 3880.
-2*(k - 2425)*(k - 2)**2/5
Factor 15*p**4 + 475*p**3 + 760*p**2 + 300*p.
5*p*(p + 1)*(p + 30)*(3*p + 2)
Factor -3*v**2/7 - 551226*v/7 + 78747.
-3*(v - 1)*(v + 183743)/7
Determine p so that -p**4/3 + 25*p**3/3 - 200*p**2/3 + 620*p/3 - 208 = 0.
2, 4, 6, 13
Factor -c**3/3 - 41231*c**2/3 + 164936*c/3 - 54980.
-(c - 2)**2*(c + 41235)/3
Suppose -q**4/8 - 871*q**3/8 + 2623*q**2/8 + 871*q/8 - 1311/4 = 0. Calculate q.
-874, -1, 1, 3
Find k such that 2*k**4/7 + 3984*k**3/7 + 23818*k**2/7 - 3972*k = 0.
-1986, -7, 0, 1
Suppose -25*g**4 - 215*g**3 - 110*g**2 + 1580*g - 600 = 0. What is g?
-6, -5, 2/5, 2
What is h in 4*h**3 + 176592*h**2 + 1949399040*h + 7794770944 = 0?
-22072, -4
Factor -3*g**2 + 51*g + 2052.
-3*(g - 36)*(g + 19)
Find r such that -2*r**3/23 - 16510*r**2/23 + 231562*r/23 + 248070/23 = 0.
-8269, -1, 15
What is q in -q**5 - 3*q**4 + 108*q**3 + 256*q**2 - 2304*q = 0?
-8, 0, 4, 9
Suppose p**2/6 + 136411*p/3 + 18607960921/6 = 0. Calculate p.
-136411
Factor -w**2 - 125*w + 6600.
-(w - 40)*(w + 165)
Suppose 5*a**4 + 2145*a**3 - 2350*a**2 - 85440*a + 240800 = 0. What is a?
-430, -7, 4
Factor -248*w**3 - 927026*w**2/3 - 288770468*w/3 - 776258/3.
-2*(w + 623)**2*(372*w + 1)/3
Factor 2*t**3 - 202*t**2 - 620*t - 416.
2*(t - 104)*(t + 1)*(t + 2)
Factor 5*q**3 + 8600*q**2 - 1093615*q + 1085010.
5*(q - 118)*(q - 1)*(q + 1839)
Solve -2*j**2/7 - 4*j/7 + 5830/7 = 0 for j.
-55, 53
Determine o, given that 2*o**5/9 + 268*o**4/3 + 26932*o**3/3 - 2416*o**2/9 - 81338*o/3 - 17956 = 0.
-201, -1, 2
Suppose -10*t**3/3 + 244336*t**2/3 - 1492453154*t/3 - 597020356/3 = 0. What is t?
-2/5, 12217
Find x such that 5*x**3 + 75*x**2 - 1970*x + 8400 = 0.
-30, 7, 8
Let 8*q**4/5 - 13714*q**3/5 = 0. What is q?
0, 6857/4
Factor -2*a**3/11 - 78006*a**2/11 + 156020*a/11.
-2*a*(a - 2)*(a + 39005)/11
Let 5*z**5 + 10230*z**4 + 10215*z**3 - 20450*z**2 = 0. What is z?
-2045, -2, 0, 1
Factor -2*o**3/5 + 48*o**2/5 + 3368*o/5 - 6912/5.
-2*(o - 54)*(o - 2)*(o + 32)/5
Factor -3*r**3 - 5847*r**2 - 11685*r - 5841.
-3*(r + 1)**2*(r + 1947)
Suppose 11490*l**2/7 - 1472*l/7 - 8/7 = 0. Calculate l.
-2/383, 2/15
Factor -3*u**3 - 276*u**2 - 5853*u - 5580.
-3*(u + 1)*(u + 31)*(u + 60)
Factor f**5 + 55*f**4 + 782*f**3 + 674*f**2 - 783*f - 729.
(f - 1)*(f + 1)**2*(f + 27)**2
Factor 3*t**3 + 56415*t**2 - 338571*t + 507897.
3*(t - 3)**2*(t + 18811)
Find l such that 18*l**5 - 27462*l**4 - 119650*l**3 + 474478*l**2 - 272368*l + 42840 = 0.
-7, 1/3, 2, 1530
Let 5*y**3/3 + 300*y**2 + 33505*y/3 - 36250 = 0. What is y?
-125, -58, 3
Factor -2*m**2/7 - 9722*m/7 - 4164.
-2*(m + 3)*(m + 4858)/7
Factor 8241*y**2/4 + 3*y/2.
3*y*(2747*y + 2)/4
Factor n**4/7 - 52*n**3/7 + 726*n**2/7 - 1300*n/7 + 625/7.
(n - 25)**2*(n - 1)**2/7
Suppose 5*d**2 - 6260*d - 107865 = 0. Calculate d.
-17, 1269
Factor 3*z**2 + 81384*z + 551946288.
3*(z + 13564)**2
Find a such that 4*a**4 - 1236*a**3 + 1224*a**2 + 2464*a = 0.
-1, 0, 2, 308
Factor -5*v**2 - 311130*v - 4840093845.
-5*(v + 31113)**2
Let 2*i**5 - 1168*i**4 + 183678*i**3 - 3762032*i**2 - 183680*i + 3763200 = 0. Calculate i.
-1, 1, 24, 280
Find p, given that -54*p**3 - 809*p**2 - 741*p + 14 = 0.
-14, -1, 1/54
Factor -4*s**2/7 - 36188*s/7 - 36184/7.
-4*(s + 1)*(s + 9046)/7
Let 3*p**2/8 - 23415*p/8 + 70191/4 = 0. What is p?
6, 7799
Suppose -2*c**2/11 - 144*c/11 - 72 = 0. Calculate c.
-66, -6
Suppose 3*o**3/2 + 2745*o**2/2 + 316008*o + 935712 = 0. What is o?
-456, -3
Factor 5*r**2 - 25825*r + 2308670.
5*(r - 5074)*(r - 91)
Factor 3*i**2 + 804*i - 23895.
3*(i - 27)*(i + 295)
Factor b**2/9 + 1370*b/9 + 4029.
(b + 27)*(b + 1343)/9
Solve 48*x**3 - 3748*x**2 + 3988*x + 1232 = 0.
-1/4, 4/3, 77
Factor -5*k**2 + 15890*k - 31760.
-5*(k - 3176)*(k - 2)
Factor g**2/3 - 13*g/3 - 3286.
(g - 106)*(g + 93)/3
What is z in 3*z**5 - 183*z**4 + 1530*z**3 + 16416*z**2 = 0?
-6, 0, 19, 48
Factor -24*q**2/5 - 818*q/5 - 68/5.
-2*(q + 34)*(12*q + 1)/5
Factor x**4/8 - 1585*x**3/8 + 200751*x**2/2 - 20859926*x + 1548918344.
(x - 853)*(x - 244)**3/8
Determine j so that 2*j**4/11 - 12630*j**3/11 - 25270*j**2/11 + 12630*j/11 + 25268/11 = 0.
-2, -1, 1, 6317
Determine j so that -2*j**3/3 + 2650*j**2/3 + 309746*j/3 - 312394/3 = 0.
-109, 1, 1433
Solve 3*r**2/7 + 573*r/7 + 27030/7 = 0 for r.
-106, -85
What is q in -21*q**4 + 285*q**3 - 483*q**2 - 1185*q - 396 = 0?
-1, -3/7, 4, 11
Factor -w**4/6 + 109*w**3/3 - 647*w**2/6 + 215*w/3.
-w*(w - 215)*(w - 2)*(w - 1)/6
Let -5*n**3/7 - 711*n**2/7 - 1546*n/7 - 120 = 0. What is n?
-140, -6/5, -1
Factor -2*f**2/5 - 18336*f + 91682/5.
-2*(f - 1)*(f + 45841)/5
Factor h**2 - 19599*h + 19598.
(h - 19598)*(h - 1)
Solve 2*v**3 - 9818*v**2 - 306164*v - 573040 = 0 for v.
-29, -2, 4940
Find p such that -4*p**4 - 3812*p**3 - 913884*p**2 - 2692300*p + 3610000 = 0.
-475, -4, 1
Find g such that 7*g**3/5 + 1726*g**2/5 - 4227*g/5 + 1494/5 = 0.
-249, 3/7, 2
Find w such that -5*w**3 + 41980*w**2 - 83925*w - 125910 = 0.
-1, 3, 8394
Factor 40*h**3 - 2945*h**2 + 1810*h + 1095.
5*(h - 73)*(h - 1)*(8*h + 3)
Factor -2*b**2/3 - 19716*b - 145770246.
-2*(b + 14787)**2/3
Solve -4*g**3 + 875348*g**2 - 1750684*g + 875340 = 0 for g.
1, 218835
Factor -2*o**5/5 - 17286*o**4/5 + 17288*o**3/5.
-2*o**3*(o - 1)*(o + 8644)/5
Solve -4*a**3/7 + 1940*a**2/7 - 215456*a/7 + 213520/7 = 0.
1, 170, 314
Factor -2*w**2 + 18986*w + 75976.
-2*(w - 9497)*(w + 4)
Determine r so that r**3/10 + 419*r**2/10 + 13806*r/5 + 39546/5 = 0.
-338, -78, -3
Factor q**2/2 + 187753*q + 35251189009/2.
(q + 187753)**2/2
Determine o so that -o**4 - 14*o**3 + 1923*o**2 + 28908*o - 457380 = 0.
-33, 10, 42
Find t such that -2*t**4/7 - 276718*t**3/7 - 12762049680*t**2/7 - 196186735529600*t/7 + 196199497856000/7 = 0.
-46120, 1
Factor -h**3 + 2474*h**2 + 34832*h.
-h*(h - 2488)*(h + 14)
What is d in 2*d**3 + 782*d**2 + 8380*d + 7600 = 0?
-380, -10, -1
Find m, given that -3*m**3/5 + 3*m**2/5 + 24*m - 336/5 = 0.
-7, 4
Factor -4*r**2 - 867032*r - 46984030564.
-4*(r + 108379)**2
Suppose -15*y**4/8 - 517*y**3/4 + 1149*y**2/8 + 507*y/2 - 35/2 = 0. What is y?
-70, -1, 1/15, 2
Solve -28*p**4/5 + 9122*p**3/5 - 704004*p**2/5 - 6437182*p/5 + 1896452/5 = 0.
-17/2, 2/7, 167
Factor -q**3 + 4189*q**2 - 4380640*q - 13179648.
-(q - 2096)**2*(q + 3)
Suppose 3*h**2 - 931530*h + 72312345075 = 0. Calculate h.
155255
Solve -s**3 + 2455*s**2 - 68152*s + 475692 = 0 for s.
14, 2427
Factor -q**3/2 + 99*q**2/2 - 1270*q + 2346.
-(q - 51)*(q - 46)*(q - 2)/2
Factor 3*n**2 + 390*n - 1608.
3*(n - 4)*(n + 134)
Solve -5*c**5 - 40*c**4 + 305*c**3 - 260*c**2 = 0 for c.
-13, 0, 1, 4
Suppose -5*y**5 - 485*y**4 + 1055*y**3 + 6485*y**2 + 4950*y = 0. What is y?
-99, -2, -1, 0, 5
Let -3*u**2 - 243*u + 5346 = 0. What is u?
-99, 18
Solve -5*j**2 + 1248580*j - 77947600820 = 0 for j.
124858
Find f such that -f**2/2 + 146284*f - 10699504328 = 0.
146284
Solve 5*s**3 - 280*s**2 + 2425*s - 5750 = 0.
5, 46
Factor h**2 + 1221*h - 87652.
(h - 68)*(h + 1289)
Let -j**3/5 - j**2/5 + 1449*j/5 + 4329/5 = 0. Calculate j.
-37, -3, 39
Solve -3*a**2 + 486*a - 17496 = 0 for a.
54, 108
Factor 2*f**3/9 + 34858*f**2/9 + 51003856*f/3 + 1088780680.
2*(f + 65)*(f + 8682)**2/9
Factor 4*f**2 - 47276*f.
4*f*(f - 11819)
Suppose -2*i**4/5 + 748*i**3/5 + 3026*i**2/5 - 748*i/5 - 3024/5 = 0. What is i?
-4, -1, 1, 378
Solve 3*y**4 + 240*y**3 + 1788*y**2 + 43