*2 - 2944*d.
-4*d*(d - 4)**2*(d + 46)
Suppose 2*y**2/7 + 282168*y/7 + 9952347528/7 = 0. Calculate y.
-70542
What is k in k**3/2 - 10457*k**2/2 - 20917*k/2 - 10459/2 = 0?
-1, 10459
Determine s so that s**4/3 - 11*s**3/3 - 37*s**2/3 + 131*s/3 + 52 = 0.
-4, -1, 3, 13
Let g**4 - 61121*g**3 - 183369*g**2 - 183371*g - 61124 = 0. Calculate g.
-1, 61124
Suppose -25*y**5/3 - 385*y**4 - 3938*y**3 + 10012*y**2/3 - 680*y = 0. Calculate y.
-30, -17, 0, 2/5
Factor -4*s**3 - 11268*s**2 + 56424*s - 45152.
-4*(s - 4)*(s - 1)*(s + 2822)
Determine a so that 5*a**5 + 65*a**4 + 130*a**3 - 560*a**2 = 0.
-8, -7, 0, 2
Solve -3*y**2 + 73914*y - 73911 = 0 for y.
1, 24637
Let -4*m**2/3 + 122*m - 3680/3 = 0. What is m?
23/2, 80
Factor 4*h**2 - 249560*h + 3892512100.
4*(h - 31195)**2
Find h such that -5*h**2 - 285330*h - 4070660445 = 0.
-28533
Factor 3*q**2 + 8481*q - 25470.
3*(q - 3)*(q + 2830)
What is u in 4*u**5 + 196*u**4 + 3264*u**3 + 19456*u**2 + 16384*u = 0?
-16, -1, 0
Factor -20*x**2 + 318*x - 1242.
-2*(x - 9)*(10*x - 69)
Let -6615*s**5 - 12096*s**4 + 8907*s**3 + 12144*s**2 - 2292*s - 48 = 0. Calculate s.
-2, -1, -2/105, 4/21, 1
Let -3*l**4/5 + 36*l**2/5 - 48*l/5 = 0. What is l?
-4, 0, 2
Factor -2*g**2/17 - 18130*g/17 - 36252/17.
-2*(g + 2)*(g + 9063)/17
Let -2048*m**2 + 14348*m - 84 = 0. What is m?
3/512, 7
Find r such that 6*r**4/7 + 86046*r**3/7 - 774756*r**2/7 + 2066304*r/7 - 196800 = 0.
-14350, 1, 4
Factor -2*z**4 + 164*z**3 - 1082*z**2 + 2424*z - 1800.
-2*(z - 75)*(z - 3)*(z - 2)**2
Determine j, given that j**2/4 - 163*j/2 - 39995/4 = 0.
-95, 421
Let 26*c**3 + 1946*c**2 + 15144*c - 2376 = 0. What is c?
-66, -9, 2/13
Factor 2*d**5/3 + 16*d**4/3 + 14*d**3 + 28*d**2/3 - 40*d/3 - 16.
2*(d - 1)*(d + 2)**3*(d + 3)/3
Factor 2*g**3/3 + 14*g**2/3 - 70*g - 234.
2*(g - 9)*(g + 3)*(g + 13)/3
What is m in 3*m**2 - 43482*m + 157557027 = 0?
7247
Factor -x**3/5 - 20917*x**2/5 - 109223176*x/5 + 328611468.
-(x - 15)*(x + 10466)**2/5
Factor -5*n**3 - 770*n**2 + 2405*n + 7850.
-5*(n - 5)*(n + 2)*(n + 157)
Solve 2*v**4/13 - 1030*v**3/13 + 1018*v**2/13 + 5134*v/13 + 3084/13 = 0 for v.
-1, 3, 514
Factor -2*w**3 - 46*w**2 + 4516*w + 4560.
-2*(w - 38)*(w + 1)*(w + 60)
Factor 582169*r**4 + 1764819*r**3 + 55080*r**2 + 432*r.
r*(r + 3)*(763*r + 12)**2
Solve 1276*o**3/5 + 3846*o**2/5 + 2606*o/5 + 36/5 = 0.
-2, -1, -9/638
Determine s, given that 8*s**4/3 - 334*s**3 + 2218*s**2/3 - 164*s = 0.
0, 1/4, 2, 123
Let -36*o**2/7 + 2684*o/7 + 1200/7 = 0. Calculate o.
-4/9, 75
Solve q**5/3 - 7*q**4/3 - 7*q**3 + 23*q**2/3 + 40*q/3 - 12 = 0.
-2, 1, 9
Factor 6*c**2/5 - 544*c - 1816/5.
2*(c - 454)*(3*c + 2)/5
Find o, given that 3*o**5/8 + 10677*o**4/4 - 53409*o**3/4 + 48075*o**2/2 - 149577*o/8 + 21369/4 = 0.
-7123, 1, 2
Determine k, given that 3*k**3/4 + 6581*k**2/4 - 7685*k/2 + 1098 = 0.
-2196, 1/3, 2
Find x such that 5*x**3/3 - 42295*x**2/3 + 29807400*x + 29821500 = 0.
-1, 4230
Factor -i**2/4 - 1516*i + 201201/4.
-(i - 33)*(i + 6097)/4
Determine o so that 483*o**2/2 + 102*o - 432 = 0.
-36/23, 8/7
Factor y**4 - 7131*y**3 + 12702089*y**2 + 38156199*y + 25446978.
(y - 3567)**2*(y + 1)*(y + 2)
Let -y**5 + 15*y**4 - 65*y**3 + 65*y**2 + 66*y - 80 = 0. Calculate y.
-1, 1, 2, 5, 8
What is m in -2*m**2 + 1228*m/5 = 0?
0, 614/5
Find m, given that 50*m**5/9 + 220*m**4 - 30878*m**3/9 + 74296*m**2/9 + 60704*m/3 + 81536/9 = 0.
-52, -4/5, 7
Let -4*b**5/7 - 5564*b**4/7 + 4*b**3 + 38924*b**2/7 - 33384*b/7 = 0. Calculate b.
-1391, -3, 0, 1, 2
Find r such that 3*r**3 + 2259*r**2 - 48438*r + 250776 = 0.
-774, 9, 12
Let 22*t**3/17 - 152*t**2/17 - 5030*t/17 - 456/17 = 0. What is t?
-12, -1/11, 19
Factor 4*m**3 + 185192*m**2 - 370396*m + 185200.
4*(m - 1)**2*(m + 46300)
Suppose -3*a**4 + 2889*a**3 - 107325*a**2 - 722277*a - 1122660 = 0. What is a?
-3, 45, 924
Let -p**3 + 13388*p**2 - 44796245*p - 89646050 = 0. Calculate p.
-2, 6695
Factor -8385*d**2 + 2777*d + 6.
-(3*d - 1)*(2795*d + 6)
Factor -h**2/5 + 272292*h - 92678666580.
-(h - 680730)**2/5
Factor 2*y**2/3 + 4364*y + 26176/3.
2*(y + 2)*(y + 6544)/3
Determine k so that 2*k**2 + 92080*k - 736768 = 0.
-46048, 8
Factor z**3/4 - 2619*z**2/4 - 129720*z - 6200663.
(z - 2807)*(z + 94)**2/4
Find l, given that 8*l**5/9 + 1448*l**4/9 + 1426*l**3/9 - 2516*l**2/9 + 80*l = 0.
-180, -2, 0, 1/2
Factor z**3/8 - 337*z**2/4 - 8931*z/8.
z*(z - 687)*(z + 13)/8
Suppose 5*o**4 + 737170*o**3 + 27171717605*o**2 + 54341223720*o + 27170243280 = 0. Calculate o.
-73716, -1
Let 96*x**5 + 6716*x**4 - 181816*x**3 + 182284*x**2 - 7280*x = 0. Calculate x.
-91, 0, 1/24, 1, 20
Solve 40*h**4 - 195*h**3 + 210*h**2 + 220*h - 360 = 0.
-9/8, 2
Factor -r**3 + 1065*r**2 + 2134*r.
-r*(r - 1067)*(r + 2)
Factor w**2/2 + 1663*w.
w*(w + 3326)/2
Let -10*l**4/19 - 16028*l**3/19 - 108434*l**2/19 + 150008*l/19 - 1344 = 0. What is l?
-1596, -8, 1/5, 1
Determine k so that -3*k**2/5 + 34248*k + 171243/5 = 0.
-1, 57081
Find z such that -5*z**3 + 46020*z**2 - 106029945*z + 634524030 = 0.
6, 4599
Suppose 3*r**4 - 2655*r**3 - 2661*r**2 + 2655*r + 2658 = 0. Calculate r.
-1, 1, 886
Factor -2*m**2/3 + 1526*m/3 - 3528.
-2*(m - 756)*(m - 7)/3
Factor -3*u**3/7 + 35628*u**2/7 + 1858740*u/7 + 3455712.
-3*(u - 11928)*(u + 26)**2/7
Suppose 4*b**3 + 15804*b**2 - 31620*b + 15812 = 0. Calculate b.
-3953, 1
Let 4*z**5 + 5836*z**4 + 2148976*z**3 + 14781312*z**2 + 8363520*z - 25299648 = 0. Calculate z.
-726, -6, -2, 1
Factor 3*o**2 + 707589*o.
3*o*(o + 235863)
Solve -3*q**2/4 + 319611*q/8 - 399495/4 = 0 for q.
5/2, 53266
Factor -z**3/7 + 36*z**2 - 2691*z/7 - 6480.
-(z - 240)*(z - 21)*(z + 9)/7
Factor -4*w**2/7 - 17716*w/7 + 53184/7.
-4*(w - 3)*(w + 4432)/7
Factor -2*h**4 + 1160*h**3 - 251624*h**2 + 24192960*h - 869945472.
-2*(h - 158)**2*(h - 132)**2
Suppose -238*f**3 - 436*f**2 + 144*f = 0. What is f?
-36/17, 0, 2/7
Determine l, given that -3*l**4 + 3285*l**3 + 180207*l**2 + 2663475*l + 6457500 = 0.
-25, -3, 1148
Factor -3*u**3 - 13434*u**2 - 187635*u - 656208.
-3*(u + 7)**2*(u + 4464)
Solve 4*j**2 + 2412*j + 21384 = 0.
-594, -9
Factor 2*k**4 - 66*k**3 - 4674*k**2 - 51262*k.
2*k*(k - 71)*(k + 19)**2
What is t in -t**5/3 - 92*t**4/3 + 3320*t**3 + 30422*t**2/3 + 30601*t/3 + 3410 = 0?
-155, -1, 66
Factor 2*u**3/7 - 29676*u**2/7 + 109994040*u/7 + 661033008/7.
2*(u - 7422)**2*(u + 6)/7
Find b, given that -2*b**4/3 - 46*b**3/3 + 1178*b**2/3 - 6986*b/3 + 3920 = 0.
-40, 3, 7
Factor 2*j**2/11 - 56360*j/11 - 10248.
2*(j - 28182)*(j + 2)/11
Factor 4*r**3 - 11996*r**2 - 24004*r - 12004.
4*(r - 3001)*(r + 1)**2
Let -50*g**4/11 + 21470*g**3/11 - 2272262*g**2/11 - 7011366*g/11 = 0. Calculate g.
-3, 0, 1081/5
Factor -a**3 - 10756*a**2 - 21509*a - 10754.
-(a + 1)**2*(a + 10754)
Suppose 83*q**2 - 6651*q + 880 = 0. What is q?
11/83, 80
Solve -m**5/2 - 40*m**4 - 301*m**3/2 + 121*m**2 + 536*m + 304 = 0.
-76, -4, -1, 2
What is s in -65*s**4/2 - 8075*s**3/2 + 15580*s**2 - 12830*s - 3840 = 0?
-128, -3/13, 2
Factor -4*w**3 - 27372*w**2 + 274020*w - 685300.
-4*(w - 5)**2*(w + 6853)
Factor 2*u**2/13 + 201636*u/13 + 5082134562/13.
2*(u + 50409)**2/13
Factor -2*u**4 + 21528*u**3 - 57996396*u**2 + 347397336*u - 520805538.
-2*(u - 5379)**2*(u - 3)**2
What is h in -2*h**3/7 - 746856*h**2/7 - 69724235592*h/7 = 0?
-186714, 0
Factor 2*g**2/11 - 15156*g/11 + 28713042/11.
2*(g - 3789)**2/11
Solve -108*z**4 - 4984*z**3 - 62204*z**2 - 100144*z + 133584 = 0.
-22, -3, 23/27
Factor -4*t**4 + 32*t**3 + 432*t**2 - 5184*t + 13824.
-4*(t - 8)*(t - 6)**2*(t + 12)
Solve 2*a**3 - 47124*a**2 + 659442*a - 2307704 = 0 for a.
7, 23548
Determine m so that -21*m**5/4 + 1245*m**4/4 + 17097*m**3/4 - 1448001*m**2/4 + 804735*m - 200475 = 0.
-33, 2/7, 2, 45
Factor -2*p**3/11 + 1124*p**2/11 - 166530*p/11 + 2384928/11.
-2*(p - 273)**2*(p - 16)/11
Factor -18324520620880502*p**4 - 18323995189108490*p**3 + 525426749988*p**2 - 5022008*p + 16.
-2*(p + 1)*(209251*p - 2)**3
What is m in -2*m**2 - 96756*m - 1170215442 = 0?
-24189
Solve 2*r**2/5 + 725792*r/5 = 0 for r.
-362896, 0
Determine y, given that 2*y**5 + 1418*y**4 - 9988*y**3 + 25736*y**2 - 28624*y + 11456 = 0.
-716, 1, 2
Solve a**2 + 1112340*a + 309325068900 = 0.
-556170
Solve n**2/5 + 2471*n/5 - 4946/5 = 0 for n.
-2473, 2
Solve -2*o**2/3 + 1258*o/3 - 65780 = 0 for o.
299, 330
Factor -2*d**5 + 92126*d**4 + 276390*d**3 + 276394*d**2 + 92132*d.
-2