 1/3, 1
Let 2*n**4/7 - 556*n**3/7 + 49904*n**2/7 - 1478100*n/7 + 1428750/7 = 0. Calculate n.
1, 75, 127
Suppose 9*f**2 + 610*f + 1056 = 0. What is f?
-66, -16/9
Solve 12*n**3/5 - 11476*n**2/5 + 315288*n/5 + 215296/5 = 0 for n.
-2/3, 29, 928
Find n, given that -4*n**3 - 19024*n**2 - 38036*n - 19016 = 0.
-4754, -1
Find i such that -32798*i**5 + 164634*i**4 - 133556*i**3 - 1656*i**2 + 3184*i + 192 = 0.
-2/23, 6/31, 1, 4
Factor -2*q**3 - 4662*q**2 - 37192*q - 55752.
-2*(q + 2)*(q + 6)*(q + 2323)
Factor -v**3 - 6073*v**2 - 6066*v + 36432.
-(v - 2)*(v + 3)*(v + 6072)
Suppose -4*f**3 - 444*f**2 - 10652*f + 11100 = 0. Calculate f.
-75, -37, 1
Factor -2*w**3/3 - 4346*w**2/3.
-2*w**2*(w + 2173)/3
What is f in 12*f**4 - 200*f**3 + 124*f**2 + 64*f = 0?
-1/3, 0, 1, 16
Factor -2*d**2 + 54*d - 144.
-2*(d - 24)*(d - 3)
Determine b, given that 5*b**2 + 1285*b - 21840 = 0.
-273, 16
Solve -5*c**3/3 - 85*c**2 - 240*c = 0 for c.
-48, -3, 0
Suppose -x**5 + 316*x**4 - 936*x**3 - 946*x**2 + 2185*x + 1878 = 0. Calculate x.
-1, 2, 3, 313
Factor -p**2 - 4128*p - 8252.
-(p + 2)*(p + 4126)
Determine w so that -2*w**2 - 1720*w - 3432 = 0.
-858, -2
Factor 4*x**2 - 11600*x - 93056.
4*(x - 2908)*(x + 8)
Suppose f**5/5 - 56*f**4/5 + 461*f**3/5 + 6314*f**2/5 = 0. Calculate f.
-7, 0, 22, 41
Find q, given that -q**5 + 308*q**4 + 11922*q**3 + 156508*q**2 + 828487*q + 1373592 = 0.
-11, -3, 344
Let -u**3/3 - 7*u**2 - 13*u - 19/3 = 0. Calculate u.
-19, -1
Find k such that -k**3/2 + 15*k**2 + 103*k/2 - 66 = 0.
-4, 1, 33
Factor -4*h**3 - 3112*h**2.
-4*h**2*(h + 778)
Solve -2*u**2/5 - 1548*u/5 + 5056 = 0.
-790, 16
Suppose 3*h**2 - 13071*h - 26154 = 0. Calculate h.
-2, 4359
Factor -u**4/4 + 95*u**3/4 - 69*u**2.
-u**2*(u - 92)*(u - 3)/4
Suppose 419917683*a**3 - 840261282*a**2 + 851940*a - 216 = 0. Calculate a.
6/11831, 2
Factor n**2 + 59408*n + 882327616.
(n + 29704)**2
Factor -2*r**2/7 + 1096384*r/7 - 150257234432/7.
-2*(r - 274096)**2/7
Factor c**2/2 + 3021*c/2 + 3019.
(c + 2)*(c + 3019)/2
Suppose -2*g**2/9 - 20552*g/9 + 20554/9 = 0. What is g?
-10277, 1
Let 4122*g**3/13 - 8240*g**2/13 + 4114*g/13 + 4/13 = 0. Calculate g.
-2/2061, 1
Find d such that 2*d**5/7 - 228*d**4/7 - 4854*d**3/7 + 52400*d**2/7 = 0.
-25, 0, 8, 131
What is o in -56*o**5 - 22002*o**4/5 + 547662*o**3/5 - 3236816*o**2/5 + 489144*o - 83520 = 0?
-696/7, 1/4, 3/5, 10
Suppose -f**3/4 + 125*f**2/4 - 2263*f/4 - 111909/4 = 0. Calculate f.
-21, 73
Solve -2*x**3/15 - 296*x**2/3 + 25738*x/15 = 0.
-757, 0, 17
Let -2*a**3/5 + 216*a**2/5 + 88*a = 0. What is a?
-2, 0, 110
Let -5*p**3/4 - 1395*p**2/4 - 18375*p/2 - 31250 = 0. Calculate p.
-250, -25, -4
What is j in -4*j**4 - 5160*j**3 + 62368*j**2 - 166656*j = 0?
-1302, 0, 4, 8
Suppose 5*s**2/3 + 2075*s/3 + 8060 = 0. Calculate s.
-403, -12
Factor -48778*p**5 - 437320*p**4 - 1564840*p**3 - 2793600*p**2 - 2488320*p - 884736.
-2*(p + 2)**2*(29*p + 48)**3
Solve -k**3/2 - 567*k**2 + 5691*k/2 - 2278 = 0.
-1139, 1, 4
Let 3*c**4/7 + 45*c**3/7 - 33723*c**2/7 + 1304655*c/7 - 4682700/7 = 0. What is c?
-129, 4, 55
Factor -2*z**2 + 10922*z + 10924.
-2*(z - 5462)*(z + 1)
Determine g so that -g**5/3 - 11*g**4/3 + 386*g**3/3 - 804*g**2 + 1080*g + 2016 = 0.
-28, -1, 6
Suppose -2*s**4/5 - 42*s**3/5 - 264*s**2/5 - 616*s/5 - 96 = 0. What is s?
-12, -5, -2
Suppose 2*s**2/7 - 445342*s/7 = 0. Calculate s.
0, 222671
What is f in -4*f**5 + 312*f**4 - 9348*f**3 + 132112*f**2 - 849408*f + 1806336 = 0?
4, 16, 21
Factor 5*j**4 - 595*j**3 - 10050*j**2.
5*j**2*(j - 134)*(j + 15)
What is c in -4*c**2 + 126384*c - 126380 = 0?
1, 31595
Solve -147*o**3/5 + 184380*o**2 + 526836*o/5 + 75264/5 = 0.
-2/7, 6272
Factor -150*h**2 - 226*h - 76.
-2*(h + 1)*(75*h + 38)
Factor 35*g**2 - 679290*g + 194080.
5*(g - 19408)*(7*g - 2)
Let 2*b**2 + 5016*b + 25030 = 0. What is b?
-2503, -5
Find f, given that -2*f**2/3 + 96*f - 2730 = 0.
39, 105
Factor 4*a**2 - 560*a + 1644.
4*(a - 137)*(a - 3)
Factor 2*b**3/7 + 3952*b**2/7 - 19822*b/7 - 3396.
2*(b - 6)*(b + 1)*(b + 1981)/7
Factor v**3 - 791*v**2 + 51695*v - 883225.
(v - 721)*(v - 35)**2
Factor -14*d**2/11 - 86484*d/11 + 49424/11.
-2*(d + 6178)*(7*d - 4)/11
Suppose 3*n**2 - 26256*n - 26259 = 0. Calculate n.
-1, 8753
Let -2*s**3 + 2552*s**2 + 36022*s + 126420 = 0. Calculate s.
-7, 1290
Factor -2*w**3 + 1686*w**2 + 152208*w + 3270456.
-2*(w - 927)*(w + 42)**2
Factor 2*x**2/3 - 12614*x/9 + 25156/3.
2*(x - 6)*(3*x - 6289)/9
Suppose -c**5/7 + 9*c**3 + 166*c**2/7 - 12*c/7 - 216/7 = 0. Calculate c.
-6, -2, 1, 9
Suppose 5*z**4 + 3855*z**3 + 3810*z**2 - 30860*z - 46200 = 0. What is z?
-770, -2, 3
Suppose -2*t**2/5 - 93084*t/5 - 1083078882/5 = 0. Calculate t.
-23271
Suppose 5516*r**3/3 - 64356*r**2 - 198296*r/3 + 96 = 0. Calculate r.
-1, 2/1379, 36
Let -19*s**4/7 + 115882*s**3/7 - 25233957*s**2 - 167451100*s/7 + 9302500/7 = 0. Calculate s.
-1, 1/19, 3050
Solve 2*u**4/11 + 36*u**3/11 + 152*u**2/11 - 36*u/11 - 14 = 0.
-11, -7, -1, 1
Determine f, given that -121*f**5/3 + 274538*f**4/3 - 155575621*f**3/3 - 56654660*f**2 - 15458700*f = 0.
-6/11, 0, 1135
Factor -3*p**3/5 + 1043031*p**2/5.
-3*p**2*(p - 347677)/5
Factor -x**2/3 + 24982*x/3 + 16656.
-(x - 24984)*(x + 2)/3
Find g, given that 5*g**2 + 105740*g - 105745 = 0.
-21149, 1
Factor -v**5/4 - 3461*v**4 - 47900237*v**3/4 + 47927929*v**2/2.
-v**2*(v - 2)*(v + 6923)**2/4
Factor 4*o**3 - 2484*o**2 + 116700*o - 1427500.
4*(o - 571)*(o - 25)**2
Factor -2*s**3 - 28636*s**2 - 102502562*s.
-2*s*(s + 7159)**2
Determine s so that -72*s**5 + 83364*s**4 + 516112*s**3 + 819124*s**2 + 386400*s + 55872 = 0.
-4, -3/2, -1/3, 1164
Factor 2*o**2/7 + 49324*o/7 + 304107122/7.
2*(o + 12331)**2/7
What is r in 3*r**2/8 + 284067*r/8 + 284061/4 = 0?
-94687, -2
Factor 5*v**2 - 11630*v - 105075.
5*(v - 2335)*(v + 9)
Determine j so that 1045458*j**4 + 2093808*j**3 + 1051244*j**2 + 2896*j + 2 = 0.
-1, -1/723
Factor -5*z**2 + 1522070*z - 115834854245.
-5*(z - 152207)**2
Determine j so that j**4 - 63348*j**3 + 1003178922*j**2 + 2006801300*j - 3009916875 = 0.
-3, 1, 31675
Determine c, given that 2*c**4 - 49946*c**3 - 199872*c**2 + 1398776*c - 1598528 = 0.
-8, 2, 24977
Let 54*q**5 + 25546*q**4/11 + 283510*q**3/11 + 114174*q**2/11 - 1570968*q/11 - 10584/11 = 0. Calculate q.
-21, -3, -2/297, 2
Solve 12*i**5 - 23139*i**4 + 190344*i**3 - 507132*i**2 + 483888*i - 92160 = 0.
1/4, 2, 4, 1920
What is b in b**2/2 - 13271*b/2 + 119277 = 0?
18, 13253
Find u such that -5*u**3 - 200195*u**2 + 2803465*u - 9812985 = 0.
-40053, 7
Suppose 138*v**4/5 - 7852*v**3 + 38209*v**2/10 + 117857*v/10 + 426/5 = 0. What is v?
-1, -1/138, 3/2, 284
Factor l**4/3 + 8599*l**3 - 17199*l**2 + 25799*l/3.
l*(l - 1)**2*(l + 25799)/3
Solve 10*m**3/9 - 524*m**2/3 + 2384*m + 18176/9 = 0 for m.
-4/5, 16, 142
Suppose m**2/10 + 1629*m/5 + 27649/2 = 0. What is m?
-3215, -43
Factor 8*r**2/3 + 86*r - 3698/3.
2*(r + 43)*(4*r - 43)/3
Factor -5*w**4/2 - 2050*w**3 - 434355*w**2 - 5783050*w - 39790205/2.
-5*(w + 7)**2*(w + 403)**2/2
Factor 2*y**2/7 - 3568*y + 149784/7.
2*(y - 12482)*(y - 6)/7
Determine h so that 16*h**4/3 - 219172*h**3/3 - 127864*h**2 - 109604*h/3 + 54800/3 = 0.
-1, 1/4, 13700
Find n, given that -n**2/5 + 366*n/5 - 728/5 = 0.
2, 364
What is d in d**4/12 + 5*d**3/4 - 35*d**2/4 - 575*d/12 - 38 = 0?
-19, -3, -1, 8
Factor -4*m**2 + 936*m + 34048.
-4*(m - 266)*(m + 32)
Solve 50*i**5/11 - 1120*i**4 + 29372*i**3/11 - 22472*i**2/11 + 5858*i/11 - 488/11 = 0 for i.
1/5, 1, 244
Suppose 22*u**3 - 513*u**2 - 910*u - 375 = 0. Calculate u.
-1, -15/22, 25
Factor 4*a**4 - 560*a**3 + 6744*a**2 - 17584*a - 24892.
4*(a - 127)*(a - 7)**2*(a + 1)
Let -4*v**3/3 - 1460*v**2/3 + 8872*v/3 - 11872/3 = 0. Calculate v.
-371, 2, 4
Factor 4*f**3/5 - 14584*f**2/5 - 4*f/5 + 14584/5.
4*(f - 3646)*(f - 1)*(f + 1)/5
Suppose 5*d**3/3 - 25*d**2/3 - 1240*d - 9900 = 0. Calculate d.
-18, -10, 33
Factor 89*r**4/3 - 388*r**3 + 1808*r**2 - 10304*r/3 + 2048.
(r - 4)**3*(89*r - 96)/3
Let 2*t**5/9 - 5798*t**4/9 + 17354*t**3/3 - 121418*t**2/9 + 109832*t/9 - 11560/3 = 0. Calculate t.
1, 6, 2890
Factor 4*l**4 + 252*l**3 + 428*l**2 - 3660*l.
4*l*(l - 3)*(l + 5)*(l + 61)
Factor 2*o**3/3 - 10238*o**2/3 - 40978*o/3 - 10246.
2*(o - 5123)*(o + 1)*(o + 3)/3
Factor -2*g**3 + 186*g**2 - 4564*g + 21120.
-2*(g - 55)*(g - 32)*(g - 6)
Find g such that 18*g**5 + 17636*g**4 + 22