, 2/7
Factor n**2/6 - 24547*n/2 - 36821/3.
(n - 73642)*(n + 1)/6
Factor 2*z**3/5 + 85854*z**2/5 - 171714*z/5 + 85858/5.
2*(z - 1)**2*(z + 42929)/5
Let -3*y**5 + 1809*y**4 - 214173*y**3 - 18402285*y**2 - 36154800*y - 17968500 = 0. Calculate y.
-55, -1, 330
Factor -2*w**3/11 - 1196*w**2/11 - 106386*w/11 - 2580192/11.
-2*(w + 51)**2*(w + 496)/11
Factor -3*t**2/8 - 75*t/4 + 153/8.
-3*(t - 1)*(t + 51)/8
Factor -4*u**2 - 2028*u + 2032.
-4*(u - 1)*(u + 508)
Suppose -2*j**4 + 67*j**3 - 344*j**2 - 189*j = 0. What is j?
-1/2, 0, 7, 27
Solve 2*l**3 + 1006*l**2 + 3998*l + 2994 = 0.
-499, -3, -1
Factor 21*b**3 - 89508*b**2 + 1428096*b - 5707008.
3*(b - 8)**2*(7*b - 29724)
Factor 2*n**2/3 + 29384*n/3 + 107927432/3.
2*(n + 7346)**2/3
Solve -3*o**2/5 + 37008*o - 570663360 = 0.
30840
Let 2*k**3 + 3864*k**2 + 23130*k + 34668 = 0. Calculate k.
-1926, -3
Let -v**5 - 18272*v**4 - 18271*v**3 = 0. Calculate v.
-18271, -1, 0
Determine r so that -r**5/4 - 6337*r**4/4 - 4749*r**3 + 9508*r**2 + 44344*r + 38004 = 0.
-6334, -2, 3
Let -2*w**4 - 29928*w**3 - 59838*w**2 + 149632*w + 179544 = 0. Calculate w.
-14962, -3, -1, 2
Find z such that 8*z**4 + 538*z**3 - 2106*z**2 + 1712*z + 568 = 0.
-71, -1/4, 2
Factor -y**3 + 44000*y**2 - 484043997*y + 967912002.
-(y - 21999)**2*(y - 2)
Factor 5*p**4 + 18410*p**3.
5*p**3*(p + 3682)
Solve -2*l**2/3 - 4502*l/3 - 45880 = 0.
-2220, -31
Factor -b**3/8 + 6681*b**2/4 - 5581140*b + 11155600.
-(b - 6680)**2*(b - 2)/8
Factor 4*s**2 + 218760*s + 2990996100.
4*(s + 27345)**2
Solve -2*q**4/3 - 328*q**3/5 - 2584*q**2/5 - 17344*q/15 - 384 = 0 for q.
-90, -4, -2/5
Factor -t**4/5 + 22*t**3 + 232*t**2/5 - 896*t/5.
-t*(t - 112)*(t - 2)*(t + 4)/5
Factor 3*w**3 - 5508*w**2 + 340224*w.
3*w*(w - 1772)*(w - 64)
Factor 28*i**2 - 16136*i + 4608.
4*(i - 576)*(7*i - 2)
Factor -5*b**2 + 6020*b.
-5*b*(b - 1204)
Find x such that 3*x**4/8 - 1065*x**3/8 - 2493*x**2/2 + 13143*x/2 - 7098 = 0.
-13, 2, 364
Determine s, given that -s**4/2 + 52*s**3 + 1891*s**2/2 + 1733*s + 840 = 0.
-14, -1, 120
Determine a so that a**5/7 - 11*a**4/7 + 4*a**3/7 + 60*a**2/7 = 0.
-2, 0, 3, 10
Factor -x**4 - 1917*x**3 - 921593*x**2 - 2751375*x - 1831698.
-(x + 1)*(x + 2)*(x + 957)**2
Find h, given that 4*h**5/7 - 36*h**4/7 + 92*h**3/7 - 12*h**2/7 - 144*h/7 = 0.
-1, 0, 3, 4
Factor -q**4/2 - 55*q**3/2 - 321*q**2 + 756*q.
-q*(q - 2)*(q + 21)*(q + 36)/2
Factor -2*w**3/5 - 56072*w**2 + 560728*w/5.
-2*w*(w - 2)*(w + 140182)/5
Suppose -2*p**3/9 + 2596*p**2/9 + 23546*p/9 - 26140/9 = 0. Calculate p.
-10, 1, 1307
Solve 4*s**5 + 200*s**4 - 652*s**3 - 848*s**2 = 0 for s.
-53, -1, 0, 4
Factor -2*k**2/13 + 30*k - 8500/13.
-2*(k - 170)*(k - 25)/13
Factor 4*t**2 - 8368*t - 25140.
4*(t - 2095)*(t + 3)
Suppose -3*f**4 - 4509*f**3 + 1032027*f**2 - 2050515*f + 1023000 = 0. Calculate f.
-1705, 1, 200
What is d in -d**4/2 - 115*d**3/2 - 1209*d**2 + 27520*d + 28672 = 0?
-64, -1, 14
Factor -2*g**3/13 - 932*g**2/13 - 27776*g/13.
-2*g*(g + 32)*(g + 434)/13
Factor -3*a**3 + 237*a**2 - 5373*a + 31347.
-3*(a - 43)*(a - 27)*(a - 9)
Factor q**3 + 68907*q**2 + 1187284800*q + 8307617500.
(q + 7)*(q + 34450)**2
Factor 5*m**2 + 8435*m - 59290.
5*(m - 7)*(m + 1694)
Factor -4*z**3 - 22688*z**2 + 90800*z - 90816.
-4*(z - 2)**2*(z + 5676)
Factor -h**2 - 9114*h + 91240.
-(h - 10)*(h + 9124)
Solve 3*n**4 + 5292*n**3 + 2333772*n**2 = 0 for n.
-882, 0
Solve -4*t**2 + 18482*t + 9242 = 0 for t.
-1/2, 4621
Factor -40*t**2 - 221*t - 105.
-(t + 5)*(40*t + 21)
Determine h, given that -2*h**5/3 - 34*h**4 - 194*h**3 + 1478*h**2/3 - 264*h = 0.
-44, -9, 0, 1
Find p such that 3*p**2/5 + 2604*p - 52128/5 = 0.
-4344, 4
Solve -5*f**3 - 495*f**2 - 5590*f = 0.
-86, -13, 0
Factor -4*k**2 - 864*k + 7168.
-4*(k - 8)*(k + 224)
Let -3*g**5/5 + 1719*g**4/5 + 4542*g**3 + 16836*g**2 + 119448*g/5 + 56256/5 = 0. Calculate g.
-8, -2, -1, 586
Solve 2*t**4/13 - 10*t**3/13 - 50*t**2/13 + 10*t/13 + 48/13 = 0 for t.
-3, -1, 1, 8
Factor 2*r**3/7 - 736*r**2/7 + 9350*r + 419628/7.
2*(r - 187)**2*(r + 6)/7
Determine i so that 4*i**2 + 480*i + 2736 = 0.
-114, -6
Factor -4*t**4 - 564*t**3 - 19596*t**2 + 20164*t.
-4*t*(t - 1)*(t + 71)**2
Factor -5*y**2 + 32035*y + 32040.
-5*(y - 6408)*(y + 1)
Find z, given that -2*z**2 - 8168*z + 65472 = 0.
-4092, 8
Factor t**2/4 + 4406*t.
t*(t + 17624)/4
Factor c**4/4 + 1602*c**3 + 2550334*c**2 - 51488280*c + 258244900.
(c - 10)**2*(c + 3214)**2/4
Find l such that -87*l**4 + 441*l**3 + 118029*l**2 - 1895085*l + 130134 = 0.
-41, 2/29, 23
Factor 8*a**3/19 - 8766734*a**2/19 + 2401737186244*a/19 + 600434844482/19.
2*(a - 547921)**2*(4*a + 1)/19
Let 2*y**4/3 - 86*y**3/3 + 344*y**2 - 792*y = 0. What is y?
0, 3, 18, 22
Solve -2*z**3 - 35*z**2 + 734*z + 767 = 0.
-59/2, -1, 13
Find n such that -n**5/3 - 1666*n**4/3 - 310748*n**3 - 179045246*n**2/3 - 2130975419*n/3 + 2676546416 = 0.
-551, -16, 3
Suppose 3*k**2 + 2907*k + 5802 = 0. What is k?
-967, -2
Factor -q**2/3 + 396*q + 97405/3.
-(q - 1265)*(q + 77)/3
Determine h so that 2*h**3/15 + 25816*h**2/15 + 51608*h/5 = 0.
-12902, -6, 0
Factor -n**3 - 223*n**2 + 2564*n - 2340.
-(n - 10)*(n - 1)*(n + 234)
Suppose 5*f**5 - 1805*f**4 - 44055*f**3 - 40435*f**2 + 44050*f + 42240 = 0. What is f?
-22, -1, 1, 384
Factor r**4/5 + 129*r**3/5 - 394*r**2/5 + 264*r/5.
r*(r - 2)*(r - 1)*(r + 132)/5
Factor -5*i**2 + 40980*i - 286615.
-5*(i - 8189)*(i - 7)
Let 3*b**2/8 - 20772*b + 287650656 = 0. What is b?
27696
Suppose -2*u**5 + 11106*u**4 - 15412350*u**3 - 15423458*u**2 = 0. What is u?
-1, 0, 2777
Solve -5*c**2 + 2445*c - 95890 = 0 for c.
43, 446
Suppose a**2/5 - 33721*a/5 + 101154/5 = 0. Calculate a.
3, 33718
Factor -o**5 - 24*o**4 - 22*o**3 + 24*o**2 + 23*o.
-o*(o - 1)*(o + 1)**2*(o + 23)
Let 5*n**2 - 4375*n - 8770 = 0. What is n?
-2, 877
Determine p, given that -6*p**5 + 56*p**4 + 2856*p**3 - 6844*p**2 + 4926*p - 988 = 0.
-19, 1/3, 1, 26
What is q in -2*q**2/3 - 1210*q/3 + 192832/3 = 0?
-736, 131
Find n such that 3*n**2/2 - 15576*n + 40435296 = 0.
5192
Factor -3*f**3/4 - 92973*f**2/4 - 92964*f - 92961.
-3*(f + 2)**2*(f + 30987)/4
Solve 4*h**4 + 228*h**3 + 1648*h**2 + 3984*h + 3136 = 0 for h.
-49, -4, -2
Suppose j**3/2 + 105*j**2/2 - 5073*j/2 - 578233/2 = 0. What is j?
-89, 73
Factor 3*c**2 - 12381*c + 49476.
3*(c - 4123)*(c - 4)
Let -2*w**3 + 8224*w**2 + 32928*w = 0. Calculate w.
-4, 0, 4116
Factor v**2 + 198*v + 1337.
(v + 7)*(v + 191)
Factor 24*x**3 - 10652*x**2 + 21232*x - 10604.
4*(x - 1)**2*(6*x - 2651)
Factor 3*l**2 + 79914*l + 532187283.
3*(l + 13319)**2
Let -6*h**2/5 + 36084*h/5 - 72144/5 = 0. What is h?
2, 6012
Solve -4*g**3 - 512*g**2 - 16820*g - 31624 = 0.
-67, -59, -2
Let -4*s**5 + 212*s**4 + 4236*s**3 + 13068*s**2 - 44712*s = 0. Calculate s.
-9, 0, 2, 69
What is y in -3*y**2/7 + 129789*y/7 - 259566/7 = 0?
2, 43261
Solve 14*l**5 + 125112*l**4 - 429102*l**3 + 160920*l**2 = 0.
-8940, 0, 3/7, 3
Suppose -p**3/2 + 741*p**2 + 58482*p + 1124876 = 0. Calculate p.
-38, 1558
Suppose -3*f**3 - 24639*f**2 = 0. Calculate f.
-8213, 0
Suppose 3*w**4 - 25425*w**3 + 53958114*w**2 - 376614300*w + 322681608 = 0. What is w?
1, 6, 4234
Factor 2*j**2/3 + 430*j/3 + 11408/3.
2*(j + 31)*(j + 184)/3
Determine d, given that -65*d**5/4 + 263*d**4/4 + 963*d**3/4 - 1215*d**2/4 + 27*d/2 = 0.
-3, 0, 3/65, 1, 6
Factor w**5 - 115*w**4 + 663*w**3 - 981*w**2.
w**2*(w - 109)*(w - 3)**2
Solve -150084*t**4 - 266852*t**3 - 83444*t**2 + 33332*t + 8 = 0 for t.
-1, -1/4169, 2/9
Suppose -2*j**4/5 - 328*j**3/5 - 3648*j**2/5 = 0. Calculate j.
-152, -12, 0
Factor -h**2/10 - 863*h/10 + 432/5.
-(h - 1)*(h + 864)/10
Factor 3*n**2/2 + 1329*n - 76140.
3*(n - 54)*(n + 940)/2
Factor -4*w**3/5 + 192*w**2/5 + 2484*w/5 + 6608/5.
-4*(w - 59)*(w + 4)*(w + 7)/5
Solve 2*v**3/7 - 1084*v**2/7 + 20670*v + 85176 = 0 for v.
-4, 273
Determine k, given that k**3 - 6955*k**2 - 27833*k - 20877 = 0.
-3, -1, 6959
Suppose -5*p**2 - 603840*p - 18231137280 = 0. Calculate p.
-60384
Suppose -x**4 + 123*x**3 - 3456*x**2 - 20480*x = 0. What is x?
-5, 0, 64
Determine x so that -19976*x**4/3 - 45026*x**3/9 + 1658*x**2 + 20*x/9 = 0.
-1, -10/7491, 0, 1/4
Factor 3*b**2 + 513*b + 3912.
3*(b + 8)*(b + 163)
Suppose -3*x**2 - 13611*x + 81774 = 0. Calculate x.
-4543, 6
Factor 4*c**3/7 - 790*c**2/21 + 616*c + 726/7.
2*(c - 33)**2*(6*c + 1)/21
Let r**4 + 2085*r**3 + 1446984*r**2 + 332