3 - 24*z**2 + 12*z = 0. What is z?
0, 1, 2
Determine z so that -2*z**5/5 - 22*z**4/5 - 52*z**3/5 + 52*z**2/5 + 30*z - 126/5 = 0.
-7, -3, 1
Factor -4*i**3 + 40*i**2 - 64*i.
-4*i*(i - 8)*(i - 2)
Factor -w**3 + 45*w**2 + 48*w - 92.
-(w - 46)*(w - 1)*(w + 2)
Factor 75*x**4 - 90*x**3 - 1908*x**2 - 1464*x - 288.
3*(x - 6)*(x + 4)*(5*x + 2)**2
Solve -2*w**4/9 + 4*w**3/9 + 10*w**2/3 = 0 for w.
-3, 0, 5
Solve -3*c**3 + 21*c**2 - 42*c + 24 = 0 for c.
1, 2, 4
Factor 32*q**2 + 1392*q + 15138.
2*(4*q + 87)**2
Factor -o**3 - 33*o**2 - 255*o + 289.
-(o - 1)*(o + 17)**2
Factor l**4/5 - 2*l**3/5 - l**2 + 6*l/5.
l*(l - 3)*(l - 1)*(l + 2)/5
Factor 5*w**4 - 105*w**3 + 685*w**2 - 1395*w + 810.
5*(w - 9)**2*(w - 2)*(w - 1)
Let c**4 - 8*c**3 - 34*c**2 + 8*c + 33 = 0. Calculate c.
-3, -1, 1, 11
Find o, given that -3*o**4/5 - 6*o**3 - 39*o**2/5 + 72*o/5 = 0.
-8, -3, 0, 1
Solve a**3/7 - a**2 - 17*a/7 - 9/7 = 0 for a.
-1, 9
Let k**5/2 - 11*k**4 + 30*k**3 + 275*k**2 - 2125*k/2 = 0. What is k?
-5, 0, 5, 17
Find a such that -2*a**4/11 + 2*a**2 + 36*a/11 + 16/11 = 0.
-2, -1, 4
Factor b**5 - 8*b**4 + 20*b**3 - 16*b**2.
b**2*(b - 4)*(b - 2)**2
Suppose -4*n**5 + 668*n**4 - 30140*n**3 + 188836*n**2 - 389760*n + 230400 = 0. What is n?
1, 3, 80
Solve 4*k**4 + 136*k**3 + 252*k**2 - 136*k - 256 = 0 for k.
-32, -2, -1, 1
What is b in -2*b**2 + 352*b - 15488 = 0?
88
Let -2*m**2 + 6*m = 0. What is m?
0, 3
Factor p**2/5 - 2*p/5 - 3.
(p - 5)*(p + 3)/5
Factor -2*p**2/3 - 100*p/3 + 106.
-2*(p - 3)*(p + 53)/3
Find f, given that -3*f**4/7 - 45*f**3/7 - 138*f**2/7 + 288*f/7 + 384/7 = 0.
-8, -1, 2
Factor 5*g**3 + 3475*g**2 + 602040*g - 605520.
5*(g - 1)*(g + 348)**2
Find o, given that 2*o**4/3 + 2*o**3/3 = 0.
-1, 0
Find x such that -x**2/10 + 11*x/5 - 121/10 = 0.
11
Determine g, given that 12*g**5 + 825*g**4 - 1959*g**3 - 2874*g**2 + 7644*g - 1704 = 0.
-71, -2, 1/4, 2
Factor -4*w**2 - 192*w + 196.
-4*(w - 1)*(w + 49)
Find l, given that -2*l**4/9 - 4*l**3/9 + 4*l/9 + 2/9 = 0.
-1, 1
Factor p**3/5 + 28*p**2/5 - 29*p/5.
p*(p - 1)*(p + 29)/5
What is o in -2*o**4 + 88*o**3/3 - 56*o**2/3 = 0?
0, 2/3, 14
Solve -c**5/5 + c**3/5 = 0.
-1, 0, 1
Suppose b**2 - 178*b - 543 = 0. Calculate b.
-3, 181
Find n such that 4*n**3 + 8*n**2 - 220*n - 800 = 0.
-5, 8
Factor -4*v**2 - 24320*v - 36966400.
-4*(v + 3040)**2
Let -9*l**4/5 - 3*l**3/5 + 8*l**2/5 + 4*l/5 = 0. Calculate l.
-2/3, 0, 1
Factor 3*w**5 + 453*w**4 + 22494*w**3 + 351594*w**2 - 772497*w + 397953.
3*(w - 1)**2*(w + 51)**3
Suppose 5*m**5 + 80*m**4 - 270*m**3 + 280*m**2 - 95*m = 0. What is m?
-19, 0, 1
Solve -100*q**4 - 1105*q**3 - 2475*q**2 + 3240*q - 540 = 0.
-6, 1/5, 3/4
Factor -3*l**2/2 + 48579*l/8 - 1518.
-3*(l - 4048)*(4*l - 1)/8
Determine c, given that 3*c**3 - 1674*c**2 + 235188*c - 463704 = 0.
2, 278
What is f in 3*f**3 - 345*f**2 - 3*f + 345 = 0?
-1, 1, 115
Factor 3*d**2 - 33*d - 126.
3*(d - 14)*(d + 3)
Let a**3/5 - 32*a**2/5 + 89*a/5 - 58/5 = 0. What is a?
1, 2, 29
Find f, given that 80*f**4 - 396*f**3 + 220*f**2 + 732*f + 36 = 0.
-1, -1/20, 3
Solve -4*t**2 - 80*t + 84 = 0 for t.
-21, 1
Find f, given that -3*f**5 - 732*f**4 - 44652*f**3 = 0.
-122, 0
Factor -3*r**4 + 138*r**3 - 1575*r**2 - 552*r + 6348.
-3*(r - 23)**2*(r - 2)*(r + 2)
Determine d, given that -4*d**5 - 72*d**4 + 200*d**3 + 3600*d**2 - 2500*d - 45000 = 0.
-18, -5, 5
What is k in 3*k**4 + 18*k**3 + 24*k**2 - 18*k - 27 = 0?
-3, -1, 1
Factor -4*y**3 + 244*y**2 - 1440*y - 3888.
-4*(y - 54)*(y - 9)*(y + 2)
What is s in 3*s**4 - 96*s**3 + 768*s**2 = 0?
0, 16
Factor -2*h**3 - 28*h**2 - 26*h.
-2*h*(h + 1)*(h + 13)
What is x in 18723*x**4/4 + 948*x**3 + 48*x**2 = 0?
-8/79, 0
Solve 2*n**5/17 + 28*n**4/17 + 138*n**3/17 + 280*n**2/17 + 200*n/17 = 0 for n.
-5, -2, 0
Factor 2*o**4/3 + 60*o**3 + 176*o**2 + 524*o/3 + 58.
2*(o + 1)**3*(o + 87)/3
Factor -3*f**3/7 - 78*f**2/7 + 165*f/7 - 12.
-3*(f - 1)**2*(f + 28)/7
Suppose -2*g**5/5 + 4*g**4 + 46*g**3/5 + 24*g**2/5 = 0. What is g?
-1, 0, 12
Factor 20*m**3 + 32*m**2 - 204*m - 216.
4*(m - 3)*(m + 1)*(5*m + 18)
Factor 14*u**2/11 - 288*u/11 - 126/11.
2*(u - 21)*(7*u + 3)/11
Suppose 2*y**2/17 - 30*y/17 - 728/17 = 0. Calculate y.
-13, 28
Determine t, given that 5*t**4 + 40*t**3 + 100*t**2 + 80*t = 0.
-4, -2, 0
Let -2*k**5 - 4*k**4 + 18*k**3 + 4*k**2 - 16*k = 0. Calculate k.
-4, -1, 0, 1, 2
Factor 2*k**3/13 + 1550*k**2/13 + 301086*k/13 + 299538/13.
2*(k + 1)*(k + 387)**2/13
Suppose 3*w**3/2 + 1287*w**2/2 - 648*w - 1290 = 0. What is w?
-430, -1, 2
Factor r**2 - 184*r + 1239.
(r - 177)*(r - 7)
Let -w**5 - 87*w**4 - 3006*w**3 - 51570*w**2 - 439425*w - 1488375 = 0. What is w?
-21, -15
Suppose -35*h**2 + 1515*h - 430 = 0. What is h?
2/7, 43
Factor -4*u**2 + 31768*u - 63075364.
-4*(u - 3971)**2
Factor -2*c**2/17 + 18*c/17 + 20/17.
-2*(c - 10)*(c + 1)/17
Factor 3*d**4/5 - 99*d**3/5 + 72*d**2 - 348*d/5.
3*d*(d - 29)*(d - 2)**2/5
Determine d, given that -5*d**4 - 925*d**3 - 5430*d**2 - 10780*d - 7160 = 0.
-179, -2
Suppose 2*m**4 - 26*m**2 - 24*m = 0. Calculate m.
-3, -1, 0, 4
Factor -8*v**2/7 - 41*v/7 - 5/7.
-(v + 5)*(8*v + 1)/7
Determine u so that -u**5/3 - 22*u**4/3 - 163*u**3/3 - 490*u**2/3 - 628*u/3 - 280/3 = 0.
-10, -7, -2, -1
Factor 5*y**2 + 540*y - 545.
5*(y - 1)*(y + 109)
Suppose 2*o**2/13 - 2796*o/13 + 977202/13 = 0. What is o?
699
Factor -4*h**2/5 - 103*h/5 + 26/5.
-(h + 26)*(4*h - 1)/5
Factor -5*s**5 + 50*s**4 - 180*s**3 + 270*s**2 - 135*s.
-5*s*(s - 3)**3*(s - 1)
Let -2*w**3/3 - 92*w**2/3 - 30*w = 0. What is w?
-45, -1, 0
Solve x**2/5 + 1457*x/5 - 876 = 0 for x.
-1460, 3
Suppose -m**5/2 - 7*m**4 - 21*m**3/2 + 88*m**2 - 70*m = 0. What is m?
-10, -7, 0, 1, 2
Factor -l**2/5 + 1728*l/5 - 746496/5.
-(l - 864)**2/5
Factor 18*w**3/17 - 3480*w**2/17 - 2326*w/17 - 388/17.
2*(w - 194)*(3*w + 1)**2/17
Find w such that -5*w**2 - 15*w - 10 = 0.
-2, -1
Factor 303*y**3/2 - 309*y**2/2 + 3*y.
3*y*(y - 1)*(101*y - 2)/2
Determine d, given that -4*d**5 + 116*d**4 - 324*d**3 + 316*d**2 - 104*d = 0.
0, 1, 26
Solve 3*w**3 - 165*w**2 - 3375*w + 212625 = 0 for w.
-35, 45
Factor -3*o**2 + 60*o - 300.
-3*(o - 10)**2
Factor 18*l**4/5 - 66*l**3 - 226*l**2/5 - 38*l/5.
2*l*(l - 19)*(3*l + 1)**2/5
Determine g so that -15*g**5 + 3051*g**4 - 157233*g**3 + 209361*g**2 + 247248*g - 122412 = 0.
-1, 2/5, 2, 101
Suppose 3*b**5 + 795*b**4 - 801*b**3 - 795*b**2 + 798*b = 0. Calculate b.
-266, -1, 0, 1
Find w, given that -4*w**4 + 1728*w**3 - 183132*w**2 - 755152*w - 570288 = 0.
-3, -1, 218
Factor 4*a**2 - 284*a - 888.
4*(a - 74)*(a + 3)
Find g, given that -g**3/7 - 1556*g**2/7 - 605284*g/7 = 0.
-778, 0
Find j, given that j**3/9 - 2407*j**2/3 + 5793649*j/3 - 13945313143/9 = 0.
2407
Factor 3*l**5 - 12*l**3 - 6*l**2 + 9*l + 6.
3*(l - 2)*(l - 1)*(l + 1)**3
Suppose 2*x**4 + 1592*x**3 + 318396*x**2 + 632024*x + 315218 = 0. Calculate x.
-397, -1
Factor -h**3/2 - 14*h**2 - 50*h - 48.
-(h + 2)**2*(h + 24)/2
Factor -a**3 - 89*a**2 - 88*a.
-a*(a + 1)*(a + 88)
Factor d**4 - 3284*d**3 - d**2 + 3284*d.
d*(d - 3284)*(d - 1)*(d + 1)
Factor -q**4 - 7*q**3 + q**2 + 7*q.
-q*(q - 1)*(q + 1)*(q + 7)
Solve -4*r**2 - 3288*r + 3292 = 0 for r.
-823, 1
Factor -4*h**3/9 + 364*h**2/9 - 7952*h/9 - 8320/9.
-4*(h - 52)*(h - 40)*(h + 1)/9
Determine x so that 3*x**3 - 162*x**2 - 183*x + 990 = 0.
-3, 2, 55
Let -a**2 + 40*a + 129 = 0. What is a?
-3, 43
Factor v**3/7 - 88*v**2/7 + 173*v/7 - 86/7.
(v - 86)*(v - 1)**2/7
Find x, given that 10*x**3 - 345*x**2 - 190*x + 525 = 0.
-3/2, 1, 35
Let -2*h**3/5 + 6*h**2 - 88*h/5 = 0. What is h?
0, 4, 11
Factor -y**2/4 + 19*y/2 - 48.
-(y - 32)*(y - 6)/4
Determine a, given that a**2 - 2475*a + 2474 = 0.
1, 2474
Suppose b**2 - 137*b - 564 = 0. Calculate b.
-4, 141
Factor -10*u**3 - 5*u**2 + 30*u.
-5*u*(u + 2)*(2*u - 3)
Let -3*y**3 - 57*y**2 - 150*y - 96 = 0. What is y?
-16, -2, -1
Factor 27*h**3 + 60*h**2 + 39*h + 6.
3*(h + 1)**2*(9*h + 2)
Factor 2*j**4 - 12*j**3 - 2496*j**2 - 41236*j - 197730.
2*(j - 45)*(j + 13)**3
Factor k**2/4 + 197*k/4 + 49.
(k + 1)*(k + 196)/4
Find m, given that 2*m**3/3 - 2*m**2 + 8/3 = 0.
-1, 2
Let 2*j**3/7 - 8*j**2/7 - 32*j/7 + 128/7 = 0. What is j?
-4, 4
Let -2*i**2/9 + 1652*i/9 + 368 = 0. What is i?
-2, 828
Factor 4*b**2/9 - 100*b/9 - 896/9.
4*(b - 32)*(b + 7)/9
Factor -5*o**2 - 66760*o - 222844880.
-5*(o + 6676)**2
Suppose -2*s**5/3 + 20*s**4/3 - 26*s**3 + 14