for s.
-57, -2, 5
Factor -2*y**4/9 + 1084*y**3/3 - 438470*y**2/3 - 5313800*y/9.
-2*y*(y - 815)**2*(y + 4)/9
Factor 2*u**2/11 + 1234*u/11 - 283020/11.
2*(u - 178)*(u + 795)/11
Factor -g**3/2 + 27*g**2/2 + 540*g + 3672.
-(g - 51)*(g + 12)**2/2
Factor 2*i**4 - 1118*i**3 + 4418*i**2 + 12198*i + 6660.
2*(i - 555)*(i - 6)*(i + 1)**2
What is w in -2*w**3 - 71716*w**2 - 143424*w = 0?
-35856, -2, 0
Suppose o**3/2 - 4615*o**2/2 - 186161*o/2 - 181545/2 = 0. What is o?
-39, -1, 4655
Factor 6*u**3 + 2684*u**2 + 6234*u + 1780.
2*(u + 2)*(u + 445)*(3*u + 1)
Factor 130*p**2 + 794*p + 84.
2*(p + 6)*(65*p + 7)
Factor s**4/7 + 76*s**3/7 + 1268*s**2/7 - 7360*s/7 - 19200/7.
(s - 6)*(s + 2)*(s + 40)**2/7
Factor -f**3 + 1356*f**2 - 546309*f + 68856750.
-(f - 750)*(f - 303)**2
Find f, given that 3*f**4 - 537*f**3 + 23757*f**2 + 537*f - 23760 = 0.
-1, 1, 80, 99
Factor 259*b**2 + 2587*b - 30.
(b + 10)*(259*b - 3)
Factor -5*a**3 + 1165*a**2 - 74475*a + 1447875.
-5*(a - 143)*(a - 45)**2
Suppose -3*w**2/5 - 226668*w/5 + 226671/5 = 0. Calculate w.
-75557, 1
Let -3*f**2/4 + 519*f - 1035 = 0. Calculate f.
2, 690
Factor -250*u**2 - 51985*u + 3120.
-5*(u + 208)*(50*u - 3)
Determine a so that -a**3/3 - 107*a**2/3 + 16774*a/3 + 33968/3 = 0.
-193, -2, 88
Find b such that -2*b**2 + 4952*b = 0.
0, 2476
Let 85*f**3 - 550*f**2 - 8480*f - 19680 = 0. What is f?
-4, 246/17
What is k in -2*k**2 - 14886*k - 14884 = 0?
-7442, -1
Factor -4*h**2/5 + 30168*h - 284408820.
-4*(h - 18855)**2/5
Determine r so that 2*r**2/13 - 7032*r/13 - 18018 = 0.
-33, 3549
Factor 3216*g**2 + 9649*g/3 + 1/3.
(g + 1)*(9648*g + 1)/3
Suppose 4*j**2/7 - 15959680*j/7 + 15919461606400/7 = 0. What is j?
1994960
Find x, given that -x**3/3 - 1880*x**2 + 28219*x/3 - 11290 = 0.
-5645, 2, 3
Determine x so that 4*x**5 + 356*x**4 + 10024*x**3 + 90632*x**2 - 10028*x - 90988 = 0.
-43, -23, -1, 1
Factor -4*u**2 - 960*u + 32400.
-4*(u - 30)*(u + 270)
Factor 2*z**4 + 844*z**3 - 100686*z**2.
2*z**2*(z - 97)*(z + 519)
Suppose 5*y**3 - 1925*y**2 - 13660*y - 23520 = 0. What is y?
-4, -3, 392
Factor o**5 - 80*o**4 - 246*o**3 - 248*o**2 - 83*o.
o*(o - 83)*(o + 1)**3
Suppose 4*d**3/3 - 1060*d**2 - 51464*d - 296032/3 = 0. Calculate d.
-44, -2, 841
Factor -5*l**5 + 35*l**4 - 90*l**3 + 100*l**2 - 40*l.
-5*l*(l - 2)**3*(l - 1)
Solve 25*r**3/3 - 41785*r**2 - 33432*r - 20060/3 = 0 for r.
-2/5, 5015
Factor -5*b**3 - 24390*b**2.
-5*b**2*(b + 4878)
Factor -2*n**2/3 - 1786*n - 257652.
-2*(n + 153)*(n + 2526)/3
Factor 5*f**4 - 28175*f**3 + 39733760*f**2 - 118947840*f.
5*f*(f - 2816)**2*(f - 3)
Suppose 5*q**3/2 + 9165*q**2 + 16836045*q/2 + 33525610 = 0. Calculate q.
-1831, -4
Factor -g**3 + 44261*g**2 - 489781160*g + 489736900.
-(g - 22130)**2*(g - 1)
Factor -5*a**2 - 131705*a - 131700.
-5*(a + 1)*(a + 26340)
Let -5*h**3/4 + 125*h**2/2 - 935*h/4 + 345/2 = 0. Calculate h.
1, 3, 46
Let -4*w**5 - 6144*w**4 - 2022493*w**3 + 267000207*w**2 - 265480264*w + 66243276 = 0. What is w?
-818, 1/2, 99
Factor -4*n**3 - 3236900*n**2.
-4*n**2*(n + 809225)
Solve -6*m**4 + 344*m**3 - 446*m**2 - 116*m + 224 = 0.
-2/3, 1, 56
Determine u so that 2*u**3 + 1300*u**2 - 5224*u + 5232 = 0.
-654, 2
Factor c**3/8 - 151569*c**2/8 - 303141*c/8 - 151571/8.
(c - 151571)*(c + 1)**2/8
Factor 8*w**2/13 - 42*w - 61184/13.
2*(w - 128)*(4*w + 239)/13
Find t such that -t**5/11 + 1646*t**4/11 - 409121*t**3/11 + 27377776*t**2/11 + 55989504*t/11 + 28200960/11 = 0.
-1, 144, 1360
Factor -3*s**2/4 - 8157*s - 22178883.
-3*(s + 5438)**2/4
Find u such that u**3/3 + 191*u**2/3 - 194*u/3 - 128 = 0.
-192, -1, 2
Find m, given that -m**3/3 + 55*m**2 - 1452*m = 0.
0, 33, 132
Factor 2*i**3 - 8808*i**2 + 9706410*i - 19377604.
2*(i - 2201)**2*(i - 2)
Let -4*x**2 + 3835248*x - 919320451344 = 0. What is x?
479406
Find f, given that 30*f**2 - 3038*f + 808 = 0.
4/15, 101
Find x such that -2*x**4/13 - 50*x**3/13 - 334*x**2/13 - 766*x/13 - 480/13 = 0.
-16, -5, -3, -1
Factor w**3/3 - 772*w**2 + 66323*w/3.
w*(w - 2287)*(w - 29)/3
Factor -3*b**5/4 - 261*b**4/4 - 6057*b**3/4 - 16635*b**2/4 - 4032*b - 1323.
-3*(b + 1)**3*(b + 42)**2/4
Factor 3*v**3/5 + 6759*v**2/5 - 27072*v/5 + 27084/5.
3*(v - 2)**2*(v + 2257)/5
Factor 514724518*l**3 - 116088*l**2 + 72*l/11.
2*l*(53207*l - 6)**2/11
Find t such that 4*t**3/3 + 448*t**2/3 + 868*t/3 - 440 = 0.
-110, -3, 1
Find f, given that 5*f**4/2 - 105*f**3/2 - 5*f**2/2 + 105*f/2 = 0.
-1, 0, 1, 21
Factor -a**3/2 + 7*a**2 + 189*a/2 + 207.
-(a - 23)*(a + 3)*(a + 6)/2
Find h such that 237*h**3 - 42666*h**2 + 1920780*h - 48600 = 0.
2/79, 90
Factor -z**2/3 - 14179*z/3.
-z*(z + 14179)/3
Let -2*y**2 - 75392*y + 150792 = 0. What is y?
-37698, 2
Determine d so that 2*d**2 - 2686*d + 559860 = 0.
258, 1085
Factor -7*g**4/2 + 2519*g**3/2 - 113220*g**2 - 16200*g.
-g*(g - 180)**2*(7*g + 1)/2
Solve -529*d**4/5 + 13064*d**3/5 - 85072*d**2/5 + 54528*d/5 - 9216/5 = 0.
8/23, 12
Find h such that -8*h**4 - 24002*h**3 - 149784*h**2 - 251514*h - 53892 = 0.
-2994, -3, -1/4
Solve -3*d**4 - 1563*d**3 + 15849*d**2 - 42957*d + 28674 = 0.
-531, 1, 3, 6
Solve 5*p**3 - 48600*p**2 + 118292160*p - 943229440 = 0.
8, 4856
Let -a**5/4 - 25*a**4 + 209*a**3/2 + 2806*a**2 - 417*a/4 - 2781 = 0. What is a?
-103, -9, -1, 1, 12
Let -2*d**3 + 8756*d**2 - 8750*d - 17508 = 0. Calculate d.
-1, 2, 4377
Factor -6*p**2/7 + 674*p/7 - 5580/7.
-2*(p - 9)*(3*p - 310)/7
Factor -2*v**2/15 + 1011304*v/15 - 1011302/15.
-2*(v - 505651)*(v - 1)/15
What is n in n**5/3 + 1885*n**4/3 + 4388*n**3 + 33824*n**2/3 + 37568*n/3 + 5008 = 0?
-1878, -2, -1
Solve 5*h**5/4 + 775*h**4/4 - 4845*h**3/4 - 2155*h**2/4 + 10390*h - 12075 = 0.
-161, -3, 2, 5
Factor 4*i**3/23 - 2506*i**2/23 + 11196*i/23.
2*i*(i - 622)*(2*i - 9)/23
Solve -3*n**4/7 + 33078*n**3/7 - 91575579*n**2/7 + 2183544936*n/7 - 13072752432/7 = 0.
12, 5501
What is t in -6*t**5 - 273*t**4 - 534*t**3 + 4683*t**2 - 3870*t = 0?
-43, -6, 0, 1, 5/2
Find c, given that -4*c**5/5 - 2932*c**4/5 - 23236*c**3/5 - 26028*c**2/5 + 10440*c = 0.
-725, -6, -3, 0, 1
Factor j**2/5 - 167422*j/5 + 7007531521/5.
(j - 83711)**2/5
Factor -3*g**2 - 15525*g/2 - 7761/2.
-3*(g + 2587)*(2*g + 1)/2
Find k such that 3*k**2 + 530865*k = 0.
-176955, 0
Factor 2*v**3 + 1334*v**2 - 49140*v.
2*v*(v - 35)*(v + 702)
What is a in a**4/4 + 2323*a**3/4 + 895089*a**2/2 + 112734145*a - 1295005118 = 0?
-778, 11
Let -2*v**4 + 208*v**3 - 4974*v**2 - 22680*v - 17496 = 0. Calculate v.
-3, -1, 54
Suppose -2*b**5/9 - 9542*b**4/9 - 11338208*b**3/9 + 102588400*b**2/9 - 273989600*b/9 + 228484000/9 = 0. What is b?
-2390, 2, 5
Factor -4*o**4 - 263120*o**3 + 3947400*o**2 - 19738000*o + 32897500.
-4*(o - 5)**3*(o + 65795)
Determine t, given that -2*t**3/5 + 68*t**2/5 - 38*t + 124/5 = 0.
1, 2, 31
Suppose 2*g**3/11 + 874*g**2/11 + 9386*g + 150898 = 0. What is g?
-209, -19
Factor -36*v**3 - 51672*v**2 - 18541636*v.
-4*v*(3*v + 2153)**2
Factor 4*q**3 + 4686040*q**2 + 1372435680100*q.
4*q*(q + 585755)**2
Suppose -5*m**3 - 1085*m**2 + 76165*m - 75075 = 0. What is m?
-273, 1, 55
Factor -v**2 + 321*v + 41062.
-(v - 419)*(v + 98)
Suppose 4*n**2 - 9208*n + 73408 = 0. What is n?
8, 2294
Solve 87*f**5 + 7575*f**4 + 209061*f**3 + 1716537*f**2 - 1800960*f - 132300 = 0 for f.
-35, -18, -2/29, 1
Factor -3*l**3 + 93*l**2 + 780*l + 684.
-3*(l - 38)*(l + 1)*(l + 6)
Factor 2*m**5 + 242*m**4 + 3488*m**3 + 13440*m**2.
2*m**2*(m + 8)**2*(m + 105)
Determine b, given that 3*b**4/2 - 3*b**3 - 9*b**2/2 + 12*b - 6 = 0.
-2, 1, 2
Find r, given that 2*r**4/3 - 428*r**3/3 + 18722*r**2/3 + 148944*r + 726624 = 0.
-9, 116
Factor -4*j**2 + 184808*j - 2134624804.
-4*(j - 23101)**2
Determine b, given that -2*b**2/5 + 2482*b/5 - 12636 = 0.
26, 1215
Suppose -6*q**5/5 + 388*q**4/5 + 462*q**3 - 980*q**2 = 0. What is q?
-7, 0, 5/3, 70
Let -n**3/8 + 839*n**2/8 = 0. Calculate n.
0, 839
Let -3*b**2 + 4260*b + 955647 = 0. Calculate b.
-197, 1617
Suppose -4*t**5 + 20*t**4 + 1772*t**3 + 1596*t**2 - 8568*t + 5184 = 0. Calculate t.
-18, -3, 1, 24
Find t, given that -39*t**3 - 43452*t**2 - 136671*t - 19998 = 0.
-1111, -3, -2/13
Determine s, given that -75*s**5 - 8695*s**4 - 40930*s**3 + 16150*s**2 + 67885*s + 19425 = 0.
-111, -5, -1, -1/3, 7/5
Find m, given that -m**3/4 + 353*m**2/4 - 29679*m/4 - 30033/4 = 0.
-1, 141, 213
Factor -k**2/2 - 93*k - 2340.
-(k + 30)*(k + 156)/2
Find x such that -2*x**2/9