 -h**4/3 + 8*h**3/3 + 145*h**2/3 + 136*h/3 = 0.
-8, -1, 0, 17
Factor 17*k**3 + 2039*k**2/2 + 15270*k - 450.
(k + 30)**2*(34*k - 1)/2
Find b such that 2*b**4/9 - 98*b**3/9 + 610*b**2/9 - 934*b/9 + 140/3 = 0.
1, 5, 42
Factor -5*f**2 + 29705*f + 267750.
-5*(f - 5950)*(f + 9)
Solve -20*t**2 - 3362*t/7 - 48/7 = 0 for t.
-24, -1/70
Solve 4*l**3 - 15936*l**2 + 269924*l - 666456 = 0 for l.
3, 14, 3967
Factor -c**4 - 231*c**3 - 4968*c**2.
-c**2*(c + 24)*(c + 207)
Factor 3*y**3/5 + 1299*y**2/5 - 7902*y/5.
3*y*(y - 6)*(y + 439)/5
Factor -2*h**3/13 + 1592*h**2/13 + 3190*h/13 + 1596/13.
-2*(h - 798)*(h + 1)**2/13
Find o, given that -4*o**4/7 + 16512*o**3/7 - 17040384*o**2/7 = 0.
0, 2064
Let -2*q**4 - 144*q**3 - 488*q**2 + 3744*q - 4352 = 0. What is q?
-68, -8, 2
Factor -5*y**4 - 181680*y**3 + 726800*y**2.
-5*y**2*(y - 4)*(y + 36340)
Suppose -2*x**4 - 42*x**3 - 88*x**2 + 360*x = 0. Calculate x.
-18, -5, 0, 2
Suppose -22*v**3 - 416*v**2 - 1480*v + 4800 = 0. What is v?
-120/11, -10, 2
Factor -4*i**3/3 + 29668*i**2/3 - 857008*i/3.
-4*i*(i - 7388)*(i - 29)/3
Solve -5*x**3 + 440*x**2 - 7135*x + 6700 = 0 for x.
1, 20, 67
Determine r so that -r**5/9 + r**4/3 + 502*r**3/9 + 1078*r**2/9 - 23111*r/3 - 429913/9 = 0.
-11, 17, 19
Find x, given that 2*x**2 - 1763792*x + 388870277408 = 0.
440948
Factor -p**3/2 + 7404*p**2 + 29619*p/2 + 7405.
-(p - 14810)*(p + 1)**2/2
Suppose -3*y**5 - 1629*y**4 - 46989*y**3 - 422175*y**2 - 1040364*y = 0. What is y?
-513, -13, -4, 0
Let 3*m**4 - 123*m**3 + 561*m**2 - 765*m + 324 = 0. Calculate m.
1, 3, 36
Suppose m**3/2 + 191*m**2 + 761*m/2 + 190 = 0. What is m?
-380, -1
Determine z so that -5*z**4 + 40070*z**3 - 80125*z**2 + 40060*z = 0.
0, 1, 8012
Find i such that 2*i**2 - 4114*i - 33040 = 0.
-8, 2065
Factor -3*x**5 + 69*x**4 - 333*x**3 + 459*x**2.
-3*x**2*(x - 17)*(x - 3)**2
Factor 5*p**2 - 3165*p - 234500.
5*(p - 700)*(p + 67)
Suppose -y**3 + 496*y**2 + 1495*y + 998 = 0. What is y?
-2, -1, 499
Determine i so that 3*i**4/2 - 1587*i**3 - 53622*i**2 - 417741*i + 945897/2 = 0.
-17, 1, 1091
Factor 11*m**3 - 6701*m**2/3 + 13672*m/3 - 268.
(m - 201)*(m - 2)*(33*m - 2)/3
Determine z so that 2*z**4/5 + 150344*z**3/5 + 2825114086*z**2/5 - 11302410896*z/5 + 8477146464/5 = 0.
-37588, 1, 3
Let -3*m**5/2 + 118*m**4 + 321*m**3/2 - 39*m**2 - 80*m = 0. Calculate m.
-1, 0, 2/3, 80
Factor -2*i**2/3 - 6568*i/3 - 5392328/3.
-2*(i + 1642)**2/3
Factor -3*n**3/2 + 54249*n**2/2 + 108507*n/2 + 54255/2.
-3*(n - 18085)*(n + 1)**2/2
Factor -4*r**3/7 - 2816*r**2/7 - 71600*r - 280000.
-4*(r + 4)*(r + 350)**2/7
Solve l**4/3 - 173*l**3/3 - 4*l**2/3 + 692*l/3 = 0.
-2, 0, 2, 173
Factor -n**2/2 + 92*n - 3840.
-(n - 120)*(n - 64)/2
Determine w, given that 43*w**2/2 - 3701*w/2 + 1829 = 0.
1, 3658/43
Let -2*g**5/15 + 1082*g**4/15 - 6436*g**3/15 + 8548*g**2/15 + 2146*g/5 - 642 = 0. What is g?
-1, 1, 3, 535
Determine m so that 3*m**5/5 - 18*m**4 + 741*m**3/5 - 2322*m**2/5 + 3036*m/5 - 1368/5 = 0.
1, 2, 6, 19
Factor -o**2 + 145*o - 700.
-(o - 140)*(o - 5)
Factor w**2/2 - 1573*w/2 - 1575.
(w - 1575)*(w + 2)/2
Find i such that 3*i**5/2 - 42*i**4 - 2511*i**3/2 + 23460*i**2 - 79008*i - 103680 = 0.
-27, -1, 8, 40
Find s, given that 2*s**3/15 - 15094*s**2/15 + 15092*s/15 = 0.
0, 1, 7546
Suppose -j**5 - 145*j**4 - 1111*j**3 - 2047*j**2 + 1112*j + 2192 = 0. Calculate j.
-137, -4, -1, 1
Factor -5*q**2 - 4640*q - 878475.
-5*(q + 265)*(q + 663)
Suppose -4*x**2 - 674548*x = 0. Calculate x.
-168637, 0
Determine f, given that 3*f**2 + 647550*f + 34943416875 = 0.
-107925
Let -5*k**5/2 + 59*k**4/2 - 19*k**3 - 35*k**2 + 43*k/2 + 11/2 = 0. What is k?
-1, -1/5, 1, 11
Suppose 4*y**3 - 183000*y**2 + 3658800*y - 18292000 = 0. What is y?
10, 45730
Find v such that 4*v**4/7 + 432*v**3/7 - 70740*v**2/7 + 339568*v/7 + 410736/7 = 0.
-199, -1, 6, 86
Factor m**2 - 454*m - 6071.
(m - 467)*(m + 13)
Suppose 10*i**4/3 - 1252*i**3 + 8130*i**2 - 4428*i = 0. What is i?
0, 3/5, 6, 369
Solve 3*r**2 + 597*r = 0 for r.
-199, 0
Factor 27*x**3 + 2405964*x**2 + 53598462015*x - 11910888150.
3*(x + 44555)**2*(9*x - 2)
Factor -5*t**2 + 1060*t + 73425.
-5*(t - 267)*(t + 55)
Suppose 8*y**2/3 + 110164*y/3 + 758506681/6 = 0. Calculate y.
-27541/4
Determine p, given that p**3/12 + 123*p**2/2 + 1467*p/4 + 549 = 0.
-732, -3
Find n such that 3*n**3 - 597*n**2 - 9240*n + 4762800 = 0.
-81, 140
What is s in 21*s**3/4 - 62389*s**2/4 - 34177*s/2 - 1486 = 0?
-1, -2/21, 2972
Find v, given that -v**2/2 + 25919*v + 51839/2 = 0.
-1, 51839
Let 2*a**2 + 405764*a + 20580552962 = 0. What is a?
-101441
Factor u**2 - 2030364*u + 1030594493124.
(u - 1015182)**2
Find h, given that 4*h**4 - 149*h**3 + 1129*h**2/2 - 227*h/2 - 66 = 0.
-1/4, 1/2, 4, 33
Determine l, given that l**2/3 - 8012*l + 48144108 = 0.
12018
Let 3*k**2/4 + 93093*k/4 + 93087/2 = 0. What is k?
-31029, -2
Find o such that -45*o**3/2 - 65920*o**2 - 96550825*o/2 + 10731125 = 0.
-1465, 2/9
Factor l**2/2 + 166198*l + 13810887602.
(l + 166198)**2/2
Factor 4*u**2 + 104792*u.
4*u*(u + 26198)
Factor 78*j**3/7 - 88*j**2 + 998*j/7 - 460/7.
2*(j - 1)**2*(39*j - 230)/7
Find l such that -2*l**5/5 + 32*l**4/5 + 378*l**3/5 - 1328*l**2/5 + 184*l = 0.
-10, 0, 1, 2, 23
Suppose -2*j**2/5 - 418*j/5 - 2952 = 0. What is j?
-164, -45
Determine v, given that -5*v**5 - 3865*v**4 + 15510*v**3 - 23290*v**2 + 15535*v - 3885 = 0.
-777, 1
Find t, given that -3*t**4/7 + 99*t**3/7 + 1329*t**2/7 - 1611*t/7 - 2838/7 = 0.
-11, -1, 2, 43
Let -i**2/3 + 37994*i/3 - 360886009/3 = 0. Calculate i.
18997
Factor -3*u**2 - 45*u + 750.
-3*(u - 10)*(u + 25)
Suppose 2*r**3 + 1421780*r**2 + 252682296050*r = 0. What is r?
-355445, 0
What is i in -6*i**2/5 + 54666*i/5 + 656856/5 = 0?
-12, 9123
Determine c, given that -81*c**4/7 - 2304*c**3/7 + 94001*c**2/7 + 42116*c/7 + 4692/7 = 0.
-51, -2/9, 23
Factor 3*j**3/5 - 63*j**2 + 585*j - 1425.
3*(j - 95)*(j - 5)**2/5
Find u, given that 3*u**4 + 16275*u**3 + 22994604*u**2 + 2474191500*u + 2451213168 = 0.
-2654, -116, -1
Suppose 2*y**3/11 + 218*y**2/11 + 830*y/11 - 1050/11 = 0. Calculate y.
-105, -5, 1
Let 2*m**3 - 1114*m**2 - 4480*m - 4488 = 0. What is m?
-2, 561
Solve 2*f**3 - 2942*f**2 + 32176*f - 81760 = 0 for f.
4, 7, 1460
Factor 2*b**2/5 + 5450*b.
2*b*(b + 13625)/5
Factor 2*w**2 - 5270*w - 170688.
2*(w - 2667)*(w + 32)
Suppose -2*u**2 + 3848*u = 0. What is u?
0, 1924
Factor v**3/6 - 7141*v**2/6 - 2381*v.
v*(v - 7143)*(v + 2)/6
Find s, given that 3*s**3 - 11911*s**2 + 3968*s + 7940 = 0.
-2/3, 1, 3970
Solve f**2 + 288*f - 10948 = 0 for f.
-322, 34
Factor -x**4/3 - 4*x**3 - 17*x**2/3 + 30*x.
-x*(x - 2)*(x + 5)*(x + 9)/3
Factor -63001*l**3 - 183481*l**2 + 16445*l - 363.
-(l + 3)*(251*l - 11)**2
Factor -q**3/9 - 14488*q**2/9 - 52490021*q/9 - 104922098/9.
-(q + 2)*(q + 7243)**2/9
Suppose 2*f**2/5 + 198*f/5 + 4788/5 = 0. Calculate f.
-57, -42
Find u, given that u**3/7 - 10*u**2 + 69*u/7 = 0.
0, 1, 69
Factor -l**2/4 + 6199*l/2 + 37203/4.
-(l - 12401)*(l + 3)/4
Factor -2*s**4 + 428*s**3 + 179520*s**2 + 16409600*s + 464896000.
-2*(s - 454)*(s + 80)**3
Factor 210*u**3 - 2285*u**2 - 6200*u - 1580.
5*(u + 2)*(6*u - 79)*(7*u + 2)
Factor -3*o**2 - 904566*o - 68186637363.
-3*(o + 150761)**2
Suppose -40*v**3 - 6012*v**2 + 4240*v + 1812 = 0. Calculate v.
-151, -3/10, 1
Factor h**2 - 355*h - 13226.
(h - 389)*(h + 34)
Factor -4*o**2/5 + 2790*o + 6976/5.
-2*(o - 3488)*(2*o + 1)/5
Let -115*r**2 + 60952*r - 1060 = 0. Calculate r.
2/115, 530
What is y in 4*y**5 + 2140*y**4 + 29304*y**3 + 66176*y**2 - 266752*y = 0?
-521, -8, 0, 2
What is q in 2*q**4 - 216*q**3 - 904*q**2 + 864*q + 3584 = 0?
-4, -2, 2, 112
Suppose 2*f**3/9 + 232*f**2/3 + 230*f/3 - 1388/9 = 0. Calculate f.
-347, -2, 1
Find j, given that 3*j**4/2 + 39*j**3/4 - 69*j**2 + 231*j/4 = 0.
-11, 0, 1, 7/2
Solve -2*a**5/7 - 68*a**4/7 - 248*a**3/7 + 1172*a**2/7 - 1318*a/7 + 464/7 = 0.
-29, -8, 1
Factor -b**3 + 23*b**2 + 16208*b - 114240.
-(b - 136)*(b - 7)*(b + 120)
Find v, given that 2*v**3/7 - 5108*v**2/7 + 45790*v/7 + 50900/7 = 0.
-1, 10, 2545
Find g such that g**3/5 - 56*g**2/5 + 60*g = 0.
0, 6, 50
Factor -2*r**5/9 - 4072*r**4/9 - 306908*r**3 - 623327432*r**2/9 + 626093678*r/9.
-2*r*(r - 1)*(r + 679)**3/9
Solve -14*t**2/15 + 3754*t/3 + 1788/5 = 0 for t.
-2/7, 1341
Find a, given that 1356*a**3/5 - 543*a**2 + 1362*a/5 - 3/5 = 0.
1/452, 1
Factor 318