
Factor 4*s**3 + 1316*s**2 + 108896*s + 107584.
4*(s + 1)*(s + 164)**2
Determine b, given that 2*b**2 - 48*b + 46 = 0.
1, 23
Determine x so that 2*x**4/7 + 72*x**3/7 - 6*x**2/7 - 220*x/7 - 144/7 = 0.
-36, -1, 2
Determine l, given that 5*l**2 - 6820*l + 2325620 = 0.
682
Factor -2*y**2/3 - 5362*y/9 + 596/3.
-2*(y + 894)*(3*y - 1)/9
Factor 4*h**3 - 364*h**2 + 2060*h - 1700.
4*(h - 85)*(h - 5)*(h - 1)
What is x in 32*x**4 - 60*x**3 + 24*x**2 + 4*x = 0?
-1/8, 0, 1
Find g, given that g**4/3 - 2*g**3 + 7*g**2/3 + 2*g - 8/3 = 0.
-1, 1, 2, 4
Determine n, given that -35*n**3 - 55*n**2 - 20*n = 0.
-1, -4/7, 0
Solve -d**4/3 - 4*d**3 + 48*d**2 + 576*d = 0.
-12, 0, 12
Let c**2/3 + 15*c - 102 = 0. Calculate c.
-51, 6
Factor -10*y**3 + 86*y**2 + 736*y + 280.
-2*(y - 14)*(y + 5)*(5*y + 2)
Factor 27*f**3 + 102*f**2 + 57*f - 18.
3*(f + 1)*(f + 3)*(9*f - 2)
Solve -20*i**5 - 212*i**4 - 112*i**3 + 80*i**2 = 0 for i.
-10, -1, 0, 2/5
Let -2*c**3/9 + 214*c**2/3 - 212*c/3 - 1280/9 = 0. What is c?
-1, 2, 320
Determine a so that 4*a**3/5 - 10*a**2 - 32*a/5 + 78/5 = 0.
-3/2, 1, 13
Factor 2*c**2/9 + 236*c/9 + 6962/9.
2*(c + 59)**2/9
Factor l**3/7 - 905*l**2/7 + 205208*l/7 - 204304/7.
(l - 452)**2*(l - 1)/7
Factor 5*b**3 - 15*b**2 - 50*b.
5*b*(b - 5)*(b + 2)
Factor -5*n**2/3 + 76630*n/3 - 293607845/3.
-5*(n - 7663)**2/3
What is a in -9*a**4 - 24*a**3 + 60*a**2 + 48*a = 0?
-4, -2/3, 0, 2
Solve 14*k**3/3 - 62*k**2/3 - 40*k/3 = 0.
-4/7, 0, 5
Let -2*j**3 - 78*j**2 - 76*j = 0. Calculate j.
-38, -1, 0
Factor 3*l**5/4 + 1995*l**4/4 + 265335*l**3/2 + 35289555*l**2/2 + 4693510815*l/4 + 124847387679/4.
3*(l + 133)**5/4
Find h such that 3*h**3 + 8343*h**2 + 5804640*h + 5796300 = 0.
-1390, -1
Let 4*w**5 - 8*w**4 - 4*w**3 + 8*w**2 = 0. Calculate w.
-1, 0, 1, 2
Factor 3*a**4/2 + 63*a**3/2 + 228*a**2 + 630*a + 432.
3*(a + 1)*(a + 6)**2*(a + 8)/2
Factor -2*h**4 - 1648*h**3 - 6568*h**2 - 6560*h.
-2*h*(h + 2)**2*(h + 820)
Suppose -90*m**2/11 + 2*m/11 + 4/11 = 0. Calculate m.
-1/5, 2/9
Factor -y**2/3 + 110*y - 329/3.
-(y - 329)*(y - 1)/3
Determine u, given that u**3/8 - u**2 + 3*u/2 = 0.
0, 2, 6
Factor 3*c**2 - 3*c - 18.
3*(c - 3)*(c + 2)
Solve 4*a**4/5 - 16*a**3/5 + 24*a**2/5 - 16*a/5 + 4/5 = 0 for a.
1
Find a, given that 4*a**2 + 8*a = 0.
-2, 0
Let -5*j**2 - 215*j - 210 = 0. Calculate j.
-42, -1
Factor 2*i**5/19 + 22*i**4/19 - 120*i**3/19.
2*i**3*(i - 4)*(i + 15)/19
Factor 4*j**4 + 108*j**3 + 528*j**2 - 640*j.
4*j*(j - 1)*(j + 8)*(j + 20)
Factor 5*q**3/2 + 755*q**2/2 + 28875*q/2 + 28125/2.
5*(q + 1)*(q + 75)**2/2
Factor 2*w**4/13 + 20*w**3/13 - 22*w**2/13.
2*w**2*(w - 1)*(w + 11)/13
Determine k, given that 49*k**3/4 + 231*k**2/4 - 69*k/4 + 5/4 = 0.
-5, 1/7
Let 3*t**2/8 + 495*t + 163350 = 0. Calculate t.
-660
What is a in 48*a**4 + 1560*a**3 + 2175*a**2 - 1785*a - 558 = 0?
-31, -2, -1/4, 3/4
Let -6*h**2 - 112*h - 330 = 0. Calculate h.
-15, -11/3
Factor 2*g**4 - 54*g**3 + 480*g**2 - 1400*g.
2*g*(g - 10)**2*(g - 7)
Factor -5*h**5 + 540*h**3 - 2160*h**2.
-5*h**2*(h - 6)**2*(h + 12)
Let 6*t**4 + 873*t**3 - 453*t**2 - 2196*t - 876 = 0. Calculate t.
-146, -1, -1/2, 2
Solve -2*k**4/5 - 32*k**3/5 - 84*k**2/5 - 16*k - 26/5 = 0.
-13, -1
Determine f so that -128*f**5 - 800*f**4 + 4488*f**3 - 3046*f**2 + 734*f - 60 = 0.
-10, 1/4, 3
Factor -118*m**4/5 + 724*m**3/5 - 1512*m**2/5 + 1136*m/5 - 128/5.
-2*(m - 2)**3*(59*m - 8)/5
Suppose 5*g**2 - 1260*g - 1265 = 0. Calculate g.
-1, 253
Factor w**4/2 - 248*w**3 + 30999*w**2 - 61256*w + 61009/2.
(w - 247)**2*(w - 1)**2/2
Factor -2*q**4/5 - 316*q**3 + 9534*q**2/5 - 14328*q/5.
-2*q*(q - 3)**2*(q + 796)/5
Factor -j**4 + 513*j**3 - 1533*j**2 + 1531*j - 510.
-(j - 510)*(j - 1)**3
Let -5*j**5 + 1530*j**4 - 152925*j**3 + 4664920*j**2 + 32285760*j + 50618880 = 0. What is j?
-3, 104
Determine j so that 2*j**2 - 310*j + 1788 = 0.
6, 149
Solve -4*n**2 - 2256*n - 318096 = 0.
-282
Solve 2*q**3/5 + 54*q**2/5 + 352*q/5 + 504/5 = 0.
-18, -7, -2
Let 3*y**2/2 + 177*y/2 + 897 = 0. What is y?
-46, -13
Let -33614*g**4/19 + 45962*g**3/19 - 13188*g**2/19 + 856*g/19 - 16/19 = 0. What is g?
2/49, 2/7, 1
Solve p**4/6 + 673*p**3/6 + 671*p**2/2 + 2011*p/6 + 335/3 = 0 for p.
-670, -1
Factor -x**2/4 + 27*x - 729.
-(x - 54)**2/4
Let -2*g**2/7 - 128*g/7 + 544/7 = 0. What is g?
-68, 4
Solve -2*v**2/7 + 10*v/7 = 0.
0, 5
Factor -4*c**3/3 - 4*c**2/3.
-4*c**2*(c + 1)/3
Find f such that 2*f**3 + 440*f**2 + 2578*f + 2140 = 0.
-214, -5, -1
Factor -4*h**4 - 24*h**3 + 12*h**2 + 80*h + 48.
-4*(h - 2)*(h + 1)**2*(h + 6)
Solve -m**2 - 98*m = 0 for m.
-98, 0
Let 2*o**5/7 - 24*o**4/7 + 48*o**3/7 + 68*o**2/7 - 114*o/7 - 108/7 = 0. Calculate o.
-1, 2, 3, 9
Suppose 4*p**3/7 + 4*p**2/7 - 68*p/7 + 60/7 = 0. Calculate p.
-5, 1, 3
Find q such that -3*q**3 - 72*q**2 - 429*q - 720 = 0.
-16, -5, -3
Factor 2*m**5 + 28*m**4 + 26*m**3.
2*m**3*(m + 1)*(m + 13)
Find i such that 5*i**3/4 + 2*i**2 + i/4 - 1/2 = 0.
-1, 2/5
Suppose 2*r**3/3 + 22*r**2 + 192*r + 512/3 = 0. Calculate r.
-16, -1
Solve k**4/4 + 23*k**3/4 + 195*k**2/4 + 725*k/4 + 250 = 0.
-8, -5
Factor 2*p**3/9 + 56*p**2/9 - 358*p/9 - 308/3.
2*(p - 7)*(p + 2)*(p + 33)/9
Factor w**3/7 + 20*w**2/7 + 96*w/7.
w*(w + 8)*(w + 12)/7
Solve 3*v**5/5 - 186*v**4/5 + 36*v**3 + 186*v**2/5 - 183*v/5 = 0.
-1, 0, 1, 61
Determine r, given that r**4 - 20*r**3 + 123*r**2 - 280*r + 176 = 0.
1, 4, 11
Factor -3*o**4/8 + 3*o**2/2.
-3*o**2*(o - 2)*(o + 2)/8
Factor 21*k**2/4 + 183*k/4 - 27/2.
3*(k + 9)*(7*k - 2)/4
Factor -10*z**3/7 + 72*z**2/7 + 88*z/7 - 192/7.
-2*(z - 8)*(z + 2)*(5*z - 6)/7
Factor 14*w**3/17 + 20*w**2/17.
2*w**2*(7*w + 10)/17
Factor 4*d**5/3 + 336*d**4 + 20140*d**3 - 387032*d**2/3 + 263504*d - 177504.
4*(d - 2)**3*(d + 129)**2/3
Find q such that 6*q**3 - 171*q**2 + 1260*q - 588 = 0.
1/2, 14
Suppose -x**2/4 + 12*x + 49/4 = 0. What is x?
-1, 49
Determine q so that 2430*q**5 + 17685*q**4 + 28965*q**3 + 6310*q**2 - 740*q - 200 = 0.
-5, -2, -2/9, 1/6
What is j in 4*j**5/13 + 18*j**4/13 - 14*j**3/13 - 18*j**2/13 + 10*j/13 = 0?
-5, -1, 0, 1/2, 1
Factor -d**3/5 + 2*d**2/5 + 13*d/5 + 2.
-(d - 5)*(d + 1)*(d + 2)/5
Suppose -2*y**4 - 254*y**3 + 1304*y**2 - 2104*y + 1056 = 0. What is y?
-132, 1, 2
Find g, given that 3*g**4 + 48*g**3 + 165*g**2 - 216*g = 0.
-9, -8, 0, 1
What is m in -3*m**3 - 9*m**2 + 18*m + 24 = 0?
-4, -1, 2
Factor -3*o**2/4 - 321*o - 1272.
-3*(o + 4)*(o + 424)/4
What is p in -3*p**4/2 + 42*p**3 - 366*p**2 + 1008*p - 864 = 0?
2, 12
Factor -2*o**4/5 - 24*o**3/5 - 8*o**2.
-2*o**2*(o + 2)*(o + 10)/5
Factor 72*u**3 - 4*u**2.
4*u**2*(18*u - 1)
What is r in -r**2/3 - 50*r/3 - 625/3 = 0?
-25
Factor -5*q**2 + 12960*q - 8398080.
-5*(q - 1296)**2
Factor j**3/4 + 9*j**2/4 - 28*j.
j*(j - 7)*(j + 16)/4
Factor 2*g**4/9 + 8*g**3/3 - 98*g**2/9 - 40*g/3.
2*g*(g - 4)*(g + 1)*(g + 15)/9
Factor -2*z**3/5 - 26*z**2/5 + 92*z/5 - 64/5.
-2*(z - 2)*(z - 1)*(z + 16)/5
Determine g, given that g**4 - 10*g**3 - 667*g**2 + 2056*g - 1380 = 0.
-23, 1, 2, 30
Let -t**2/3 + 7*t/3 + 10 = 0. Calculate t.
-3, 10
Factor 4*q**5 - 8*q**4 - 52*q**3 - 40*q**2.
4*q**2*(q - 5)*(q + 1)*(q + 2)
Let u**3 + 38*u**2 + 476*u + 1960 = 0. What is u?
-14, -10
Factor 2*d**2/15 - 394*d/15 - 796/15.
2*(d - 199)*(d + 2)/15
Let 5*k**2 + 2060*k + 212180 = 0. What is k?
-206
Suppose 2*k**2/7 - 248*k/7 + 7688/7 = 0. What is k?
62
Let 5*k**4 - 220*k**3 + 3540*k**2 - 24640*k + 62720 = 0. What is k?
8, 14
Factor -k**3/5 + 351*k**2/5 + k/5 - 351/5.
-(k - 351)*(k - 1)*(k + 1)/5
Determine b, given that -3*b**3 - 90*b**2 - 756*b - 1176 = 0.
-14, -2
Determine c so that -2*c**4/17 - 24*c**3/17 - 72*c**2/17 - 64*c/17 = 0.
-8, -2, 0
Suppose -2*d**2/7 - 30*d/7 + 32/7 = 0. Calculate d.
-16, 1
Determine n so that n**3 - 277*n**2 + 3216*n - 9540 = 0.
6, 265
Factor 3*t**2/4 + 99*t/4 - 105/2.
3*(t - 2)*(t + 35)/4
Let -p**4 + 605*p**3/2 - 150*p**2 - 605*p/2 + 151 = 0. What is p?
-1, 1/2, 1, 302
Factor -d**5/2 - 6*d**4 + 27*d**3/2 - 7*d**2.
-d**2*(d - 1)**2*(d + 14)/2
Factor -5*f**3 - 1485*f**2 - 111000*f - 109520.
-5*(f + 1)*(f + 148)**2
Determine p, given that 4*p**2/7 + 254*p/7 + 18 = 0.
-63, -1/2
Factor 2*w**2 + 796*w + 2370.
2*(w + 3)*(w + 395)
Factor 3*q**3/4 + 2055*q**2/4 + 88236*q + 87723.
3*(q + 1)*(q + 342)**2/4
Factor 405*w**5 - 8280*w**4 + 3620*w**3 - 400*w**2.
5*w**2*(w - 20)*(9*w - 2)**2
Find m such that 4*m**5 - 20*m**4 - 200*m*