*3/9 + 410*h**2 - 21494*h/9 - 1868/3 = 0. Calculate h.
-467, -1/4, 6
Factor 2*p**4 - 19724*p**3 - 78928*p**2.
2*p**2*(p - 9866)*(p + 4)
Factor 5*q**3 - 520*q**2 + 11825*q + 90750.
5*(q - 55)**2*(q + 6)
Factor -2*a**3 + 5408*a**2 - 3628618*a - 36828980.
-2*(a - 1357)**2*(a + 10)
Solve -2*n**5 - 110*n**4 - 2052*n**3 - 16524*n**2 - 53946*n - 39366 = 0 for n.
-27, -9, -1
Determine y, given that 5*y**2 - 1425*y/4 + 875/2 = 0.
5/4, 70
Determine a, given that -2*a**4/7 - 19254*a**3 - 2270706048*a**2/7 - 2270571272*a/7 = 0.
-33694, -1, 0
Solve g**2/2 - 95409*g + 9102877281/2 = 0 for g.
95409
Let 2*s**4 - 2436*s**3 + 36240*s**2 - 180700*s + 300750 = 0. What is s?
5, 1203
Factor -2*t**2/5 - 2552*t/5 - 35336/5.
-2*(t + 14)*(t + 1262)/5
Find t, given that -5*t**5 + 480*t**4 - 2685*t**3 - 1430*t**2 + 7140*t + 5400 = 0.
-1, 2, 6, 90
Solve -3*j**2/7 + 41835*j/7 + 83682/7 = 0.
-2, 13947
Find y such that -10*y**2/7 - 12766*y/7 + 5108/7 = 0.
-1277, 2/5
Solve 27*x**4/2 - 525*x**3/2 + 978*x**2 + 750*x - 504 = 0 for x.
-1, 4/9, 6, 14
Suppose -q**5 - 333*q**4 + 8869*q**3 - 29943*q**2 - 339660*q - 483300 = 0. What is q?
-358, -3, -2, 15
Determine i so that 2*i**2/11 - 20540*i/11 - 164448/11 = 0.
-8, 10278
Suppose -3*n**3/5 + 435*n**2 + 4359*n/5 + 2181/5 = 0. Calculate n.
-1, 727
Factor 2*v**3/3 - 98*v**2/3 + 1022*v/3 + 374.
2*(v - 33)*(v - 17)*(v + 1)/3
Suppose 4*h**4/3 + 97*h**3/3 + 713*h**2/3 + 1520*h/3 + 300 = 0. What is h?
-45/4, -10, -2, -1
Factor -14*i**2 + 10076*i/5 + 576/5.
-2*(i - 144)*(35*i + 2)/5
Find b such that -3*b**4 - 123*b**3 - 1644*b**2 - 7572*b - 6048 = 0.
-18, -14, -8, -1
Factor -5*a**2 - 4480*a + 68325.
-5*(a - 15)*(a + 911)
Find u, given that -u**2 - 1320*u - 145079 = 0.
-1199, -121
Factor 5*j**3 + 7900*j**2 + 7835*j - 94740.
5*(j - 3)*(j + 4)*(j + 1579)
Factor 3*s**3/4 + 8643*s**2 + 69135*s/4 + 17283/2.
3*(s + 1)**2*(s + 11522)/4
Solve -2*g**2 - 676*g = 0.
-338, 0
Determine l so that 4*l**4 + 7324*l**3 + 3341532*l**2 - 10120012*l - 13454224 = 0.
-917, -1, 4
Factor 3*m**3 + 72630*m**2 + 439593075*m.
3*m*(m + 12105)**2
Suppose s**3/8 - 197*s**2/2 + 101325*s/8 - 1794375/4 = 0. Calculate s.
75, 638
Factor q**2 - 839*q - 16302.
(q - 858)*(q + 19)
Find t such that 5*t**3 - 3210*t**2 - 65700*t - 331000 = 0.
-10, 662
Solve -2*j**3 + 518*j**2 - 2048*j + 2040 = 0.
2, 255
Solve -4*y**5/3 - 260*y**4 + 804*y**3 + 7036*y**2/3 - 6056*y + 3168 = 0 for y.
-198, -3, 1, 4
Suppose 2*o**2/9 + 61448*o/3 + 471982088 = 0. Calculate o.
-46086
Factor 13*o**3/5 - 137*o**2/5 + 47*o - 111/5.
(o - 1)**2*(13*o - 111)/5
Find m such that -4*m**2 - 7204*m - 184600 = 0.
-1775, -26
Suppose -2*q**3/7 - 24*q**2/7 + 4376*q/7 + 44160/7 = 0. Calculate q.
-48, -10, 46
Suppose -363*c**4 - 66198*c**3 - 3018027*c**2 = 0. Calculate c.
-1003/11, 0
Let 5*a**2 + 71045*a - 71050 = 0. Calculate a.
-14210, 1
Factor h**3/2 + 59*h**2 + 1445*h/2 - 5150.
(h - 5)*(h + 20)*(h + 103)/2
Solve 28*w**2 - 2628*w - 11368 = 0.
-29/7, 98
Let -2*y**2/11 - 3620*y = 0. Calculate y.
-19910, 0
Find r such that -125*r**5 + 7025*r**4 - 8070*r**3 - 9860*r**2 - 2200*r = 0.
-2/5, 0, 2, 55
Factor 2*r**3/13 - 2974*r**2/13 - 47968*r/13 - 192384/13.
2*(r - 1503)*(r + 8)**2/13
Solve 5*g**2/2 - 119355*g + 2849123205/2 = 0.
23871
Factor -2*p**2/19 - 16704*p/19 - 34877952/19.
-2*(p + 4176)**2/19
Factor 2*k**2 + 68356*k + 584067842.
2*(k + 17089)**2
Factor 4*m**2 + 4340*m + 4336.
4*(m + 1)*(m + 1084)
Determine w so that -3*w**2/4 + 179217*w/2 - 10706244363/4 = 0.
59739
Suppose 15*x**3 - 3250*x**2 + 33060*x - 20600 = 0. Calculate x.
2/3, 10, 206
Determine i, given that 2*i**5/5 + 142*i**4/5 + 246*i**3/5 - 2062*i**2/5 + 592*i/5 + 552 = 0.
-69, -5, -1, 2
Factor l**2/3 - 185*l/3 + 184/3.
(l - 184)*(l - 1)/3
Factor -3*c**2 - 4767*c + 19116.
-3*(c - 4)*(c + 1593)
Let -y**3 - 164*y**2 - 163*y = 0. What is y?
-163, -1, 0
Let -1497*m**3/8 + 2058*m**2 + 38955*m/8 + 39/4 = 0. Calculate m.
-2, -1/499, 13
Suppose 14*c**5 - 3515*c**4/2 + 39624*c**3 + 2285172*c**2 - 81671328*c + 23147208 = 0. What is c?
-147/4, 2/7, 54
Factor q**4/4 + 69*q**3/4 - 525*q**2/2 + 376*q + 3936.
(q - 8)**2*(q + 3)*(q + 82)/4
Let -2*v**2/9 - 250*v + 10892 = 0. What is v?
-1167, 42
Factor 9*k**2/4 - 2163*k/2 + 720.
3*(k - 480)*(3*k - 2)/4
Determine m, given that -25*m**4/2 + 15*m**3/2 + 967*m**2 + 2418*m - 3380 = 0.
-26/5, 1, 10
What is u in u**3/5 - 75*u**2 + 28623*u/5 + 1277479/5 = 0?
-31, 203
Factor 4*w**2 - 2700*w - 24624.
4*(w - 684)*(w + 9)
Suppose l**5/4 + 1709*l**4/4 + 4263*l**3/2 + 2555*l**2 - 1706*l - 3408 = 0. Calculate l.
-1704, -2, 1
What is b in 5*b**2 + 1831505*b - 1831510 = 0?
-366302, 1
Solve 2*m**3/3 + 256*m**2 + 8950*m/3 + 2728 = 0.
-372, -11, -1
Solve -i**3 - 103*i**2 - 1128*i - 3276 = 0 for i.
-91, -6
Solve 8*o**4/3 + 13*o**3/3 - 262*o**2/3 - 224*o + 96 = 0 for o.
-4, 3/8, 6
Factor -3*o**2/4 - 276729*o.
-3*o*(o + 368972)/4
Determine z so that -z**5/3 - 677*z**4/3 + 3688*z**3 - 16952*z**2/3 - 222160*z/3 - 92400 = 0.
-693, -2, 10
Factor 3*l**2 + 51126*l.
3*l*(l + 17042)
Let -5*u**2 + 94765*u - 1325730 = 0. What is u?
14, 18939
Factor 5*h**3/3 + 10*h**2 - 5425*h - 392000/3.
5*(h - 64)*(h + 35)**2/3
Factor -3*b**2 + 8049*b + 401604.
-3*(b - 2732)*(b + 49)
Factor 5*s**3 - 55*s**2 - 14840*s - 262640.
5*(s - 67)*(s + 28)**2
Factor -s**2/9 + 794630*s/9 - 157859209225/9.
-(s - 397315)**2/9
Factor -h**3/7 - 1084599*h**2/7 - 294089289999*h/7 - 294088205401/7.
-(h + 1)*(h + 542299)**2/7
Factor 80*u**3 - 815640*u**2 - 407835*u - 50980.
5*(u - 10196)*(4*u + 1)**2
Factor -y**3/7 - 717*y**2/7 - 1430*y/7.
-y*(y + 2)*(y + 715)/7
Suppose -5*p**4/2 - 47*p**3/6 - 23*p**2/6 + 35*p/6 + 13/3 = 0. What is p?
-2, -1, 13/15
Find l such that 44*l**5 + 514*l**4 + 2050*l**3 + 3194*l**2 + 1506*l + 180 = 0.
-5, -3, -1/2, -2/11
Factor 2*f**4/19 - 7680*f**3/19 + 7349724*f**2/19 + 44305920*f/19 + 66562722/19.
2*(f - 1923)**2*(f + 3)**2/19
Solve 18*w**4/5 + 382*w**3/5 + 1416*w**2/5 - 4024*w/5 - 192 = 0 for w.
-15, -8, -2/9, 2
Factor -2*a**2 + 1692224*a - 357952758272.
-2*(a - 423056)**2
Solve 2*d**4/9 + 218*d**3/3 + 434*d**2/3 + 650*d/9 = 0.
-325, -1, 0
Solve -4*d**2/3 + 5336*d/3 - 15900 = 0 for d.
9, 1325
Suppose -5*i**2 - 17950*i + 53895 = 0. What is i?
-3593, 3
Solve 27*q**4/7 + 653*q**3/7 + 5066*q**2/7 + 1568*q - 12672/7 = 0 for q.
-9, -8, 22/27
Let -c**2/4 - 109455*c/4 - 109451 = 0. Calculate c.
-109451, -4
Find u such that -3*u**3 - 3042*u**2 + 9147*u - 6102 = 0.
-1017, 1, 2
What is m in -5*m**4 - 495*m**3 + 7590*m**2 - 35680*m + 54240 = 0?
-113, 4, 6
Let -i**3/8 + 11107*i**2/8 + i/8 - 11107/8 = 0. What is i?
-1, 1, 11107
Factor q**2/5 + 3*q/5.
q*(q + 3)/5
Factor -8*c**3 - 1926*c**2 + 482*c.
-2*c*(c + 241)*(4*c - 1)
Factor -5*f**3/3 + 125*f**2 - 2165*f + 6125/3.
-5*(f - 49)*(f - 25)*(f - 1)/3
Determine y so that -y**5 - 58*y**4 + 1121*y**3 - 4570*y**2 + 6764*y - 3256 = 0.
-74, 1, 2, 11
Factor 3*t**2 - 96180*t - 96183.
3*(t - 32061)*(t + 1)
Factor -5*t**3 + 865*t**2 + 21345*t + 20475.
-5*(t - 195)*(t + 1)*(t + 21)
Factor 1359*z**2 + 6846*z/5 + 51/5.
3*(z + 1)*(2265*z + 17)/5
Factor 4*n**3 - 141140*n**2.
4*n**2*(n - 35285)
Let -2*o**2/9 + 110*o/3 - 11872/9 = 0. What is o?
53, 112
Factor -3*h**2/2 + 3765*h/2 + 3771.
-3*(h - 1257)*(h + 2)/2
Factor -2*i**2 - 840186*i + 840188.
-2*(i - 1)*(i + 420094)
Factor 4*s**3/5 + 4148*s**2/5 + 213824*s - 648960.
4*(s - 3)*(s + 520)**2/5
Factor -7*n**3/4 + 532141*n**2/2 - 10113396720*n + 2889520200.
-(n - 76020)**2*(7*n - 2)/4
Let -5*f**3 - 1715*f**2 - 171275*f - 3964125 = 0. What is f?
-155, -33
Find z such that 4*z**4 + 3664*z**3 - 22080*z**2 + 44224*z - 29504 = 0.
-922, 2
Suppose 6*t**5/7 + 80*t**4/7 + 298*t**3/7 + 184*t**2/7 - 40*t = 0. Calculate t.
-7, -5, -2, 0, 2/3
Find t, given that 2*t**2/9 - 37622*t/9 - 25084/3 = 0.
-2, 18813
Factor 3721244004*c**3 + 14888392128*c**2 + 13665232*c + 3136.
4*(c + 4)*(30501*c + 14)**2
Let -2*b**2/11 + 5822*b/11 + 1290852/11 = 0. Calculate b.
-207, 3118
Factor -4*m**2 - 232*m + 38252.
-4*(m - 73)*(m + 131)
Factor 111*l**3 + 67041*l**2 + 10121832*l - 273612.
3*(l + 302)**2*(37*l - 1)
Solve x**2/12 + 109*x/6 = 0 for x.
-218, 0
Determine r so that r**5 + 28*r**4 - 107*r**3 - 5894*r**2 - 11360*r - 5600 = 0.
-20, -1, 14
Factor h**4 - 97*h**3 + 1731*h**2 - 10535*h + 20900.
(h - 76)*(h - 11)*(h - 5)**2
Fa