2/4 - 71*c/2 + 72 = 0.
-144, 2
Factor d**2/5 + 6*d/5 - 27/5.
(d - 3)*(d + 9)/5
Solve c**2/2 + 169*c + 28561/2 = 0 for c.
-169
Solve -5*g**2 - 290*g - 825 = 0 for g.
-55, -3
Factor 2*h**3 - 6*h**2 - 2*h + 6.
2*(h - 3)*(h - 1)*(h + 1)
Factor -8*d**2/7 - 646*d/7 - 480/7.
-2*(d + 80)*(4*d + 3)/7
Determine k, given that 80*k**5 - 920*k**4 + 3645*k**3 - 5495*k**2 + 2120*k - 240 = 0.
1/4, 3, 4
Factor 2*o**4/5 + 12*o**3/5 - 54*o**2/5 + 8*o/5 + 72/5.
2*(o - 2)**2*(o + 1)*(o + 9)/5
What is q in 2*q**2/11 - 4000*q/11 + 2000000/11 = 0?
1000
Factor 3*f**3/2 + 87*f**2/2 + 585*f/2 - 675/2.
3*(f - 1)*(f + 15)**2/2
Factor f**3/7 + 59*f**2/7 + 8*f - 116/7.
(f - 1)*(f + 2)*(f + 58)/7
What is r in r**4/11 + 50*r**3/11 + 717*r**2/11 + 2300*r/11 + 2116/11 = 0?
-23, -2
Factor b**5/2 - 5*b**4/2 - 61*b**3/2 + 485*b**2/2 - 450*b.
b*(b - 5)**2*(b - 4)*(b + 9)/2
Suppose -3*c**4 - 6*c**3 + 87*c**2 - 126*c = 0. What is c?
-7, 0, 2, 3
Determine j so that -16*j**5/3 + 4*j**4 + 12*j**3 + 8*j**2/3 = 0.
-1, -1/4, 0, 2
Factor 16*w**3 + 17092*w**2 - 12832*w - 4276.
4*(w - 1)*(w + 1069)*(4*w + 1)
Factor -4*n**3 - 80*n**2.
-4*n**2*(n + 20)
Let -2*d**3 + 120*d**2 - 2106*d + 8748 = 0. Calculate d.
6, 27
Suppose 30*h**5 + 34*h**4 - 56*h**3 - 8*h**2 = 0. What is h?
-2, -2/15, 0, 1
Determine h, given that 5*h**4 + 340*h**3 + 330*h**2 - 340*h - 335 = 0.
-67, -1, 1
Factor -2*c**2 - 1428*c - 2848.
-2*(c + 2)*(c + 712)
Factor -4*l**4 + 1740*l**3 - 254016*l**2 + 12690432*l - 35831808.
-4*(l - 144)**3*(l - 3)
Factor -3*y**4 + 15*y**3 - 24*y**2 + 12*y.
-3*y*(y - 2)**2*(y - 1)
Determine f so that 35*f**4 + 95*f**3 - 65*f**2 - 95*f + 30 = 0.
-3, -1, 2/7, 1
Solve -5*p**2 + 13945*p = 0 for p.
0, 2789
Let -2*o**2 - 696*o - 694 = 0. What is o?
-347, -1
Factor -3*f**4 + 3*f**3 + 6*f**2.
-3*f**2*(f - 2)*(f + 1)
Suppose 3*n**5 - 4*n**4 - 105*n**3 - 98*n**2 = 0. Calculate n.
-14/3, -1, 0, 7
Determine a, given that 80*a**5 - 600*a**4 + 605*a**3 + 2805*a**2 - 2890*a = 0.
-2, 0, 1, 17/4
Factor -17*m**3/2 - 35*m**2 - 38*m - 4.
-(m + 2)**2*(17*m + 2)/2
Factor -s**2/5 + 133*s/5 + 138.
-(s - 138)*(s + 5)/5
Determine s, given that -2*s**2 + 15916*s - 31664882 = 0.
3979
Find q, given that 3*q**4 + 15*q**3 + 24*q**2 + 12*q = 0.
-2, -1, 0
Factor 2*r**5/13 - 2*r**4/13 - 84*r**3/13.
2*r**3*(r - 7)*(r + 6)/13
Solve -2*u**3 + 16*u**2 - 8*u - 96 = 0 for u.
-2, 4, 6
What is c in 400*c**5 + 320*c**4 - 8476*c**3 - 16316*c**2 + 3516*c - 180 = 0?
-3, 1/10, 5
Suppose -n**3/2 - 195*n**2/2 - 4056*n + 70304 = 0. What is n?
-104, 13
Let -2*d**2/9 - 4*d/3 + 80/9 = 0. Calculate d.
-10, 4
Determine d so that 191*d**5/9 + 380*d**4/9 + 187*d**3/9 - 2*d**2/9 = 0.
-1, 0, 2/191
Find d, given that 2*d**2/9 - 1460*d/9 + 266450/9 = 0.
365
Let 2*b**5 + 8*b**4 - 322*b**3 + 1816*b**2 - 3680*b + 2176 = 0. Calculate b.
-17, 1, 4
Factor 4*m**3 + 4*m**2 - 16*m - 16.
4*(m - 2)*(m + 1)*(m + 2)
Determine h so that 5*h**3 + 600*h**2 + 16740*h - 76880 = 0.
-62, 4
Find c such that 3*c**4/4 - 27*c**3/4 - 36*c**2 - 39*c = 0.
-2, 0, 13
Factor -r**2/10 - 23*r/5 - 9/2.
-(r + 1)*(r + 45)/10
Solve 4*i**3/7 + 18*i**2/7 - 34*i/7 + 12/7 = 0 for i.
-6, 1/2, 1
Let 3*l**3 - 99*l**2 + 864*l - 768 = 0. Calculate l.
1, 16
Solve -4*g**3 + 176*g**2 - 2100*g + 3528 = 0.
2, 21
Determine m so that -27*m**3 + 13104*m**2 - 17436*m + 5808 = 0.
2/3, 484
Factor -2*s**3 + 10*s**2/7 + 4*s/7.
-2*s*(s - 1)*(7*s + 2)/7
Let 4*d**4/3 - 7496*d**3/3 + 1168124*d**2 + 7031248*d/3 + 3519376/3 = 0. Calculate d.
-1, 938
Find a such that a**4 - 2615*a**3 - 2616*a**2 = 0.
-1, 0, 2616
What is j in -15*j**3 - 80*j**2 - 85*j - 20 = 0?
-4, -1, -1/3
Factor -4*v**5 - 10112*v**4 - 8517672*v**3 - 2387780640*v**2 + 2396308428*v.
-4*v*(v - 1)*(v + 843)**3
Let d**3 - 161*d**2 + 6232*d + 20172 = 0. What is d?
-3, 82
Solve -4*x**5 - 8*x**4 + 28*x**3 - 16*x**2 = 0 for x.
-4, 0, 1
Factor -s**5/4 + 11*s**4/2 + 3*s**3/2 - 31*s**2 - 173*s/4 - 33/2.
-(s - 22)*(s - 3)*(s + 1)**3/4
Factor -16*w**2 - 364*w.
-4*w*(4*w + 91)
Solve -4*h**2 + 1552*h - 9168 = 0 for h.
6, 382
Suppose -k**2/5 - 244*k/5 + 49 = 0. What is k?
-245, 1
Determine s, given that -2*s**5 + 386*s**4 + 780*s**3 + 4*s**2 - 778*s - 390 = 0.
-1, 1, 195
Determine k, given that -2*k**3/3 - 2080*k**2/3 - 538714*k/3 + 1085764/3 = 0.
-521, 2
Let -5*u**4/2 + 3*u**3/2 + 51*u**2 + 20*u = 0. What is u?
-4, -2/5, 0, 5
Suppose 676*i**4 + 4368*i**3 + 7992*i**2 + 3024*i + 324 = 0. Calculate i.
-3, -3/13
Factor -5*p**2 + 840*p - 6400.
-5*(p - 160)*(p - 8)
Factor -h**5 + 13*h**4 + 16*h**3 - 28*h**2.
-h**2*(h - 14)*(h - 1)*(h + 2)
Factor -2*f**4/9 + 2*f**3/3 + 56*f**2/9.
-2*f**2*(f - 7)*(f + 4)/9
Solve 2*d**4/5 - 34*d**3/5 - 76*d**2/5 = 0.
-2, 0, 19
Factor 2*j**4/19 - 22*j**3/19 - 78*j**2/19 - 82*j/19 - 28/19.
2*(j - 14)*(j + 1)**3/19
Let b**2/7 + 1230*b + 2647575 = 0. Calculate b.
-4305
Factor -2*r**4/5 + 32*r**3/5 - 128*r**2/5.
-2*r**2*(r - 8)**2/5
Factor -q**4/3 + 3*q**3 - 20*q**2/3.
-q**2*(q - 5)*(q - 4)/3
Solve d**4/4 - 25*d**3/4 + 211*d**2/4 - 735*d/4 + 225 = 0 for d.
3, 5, 12
Suppose 648*r**2/7 - 645*r/7 - 3/7 = 0. What is r?
-1/216, 1
Let -2*m**4/7 - 12*m**3/7 + 2*m**2/7 + 60*m/7 = 0. Calculate m.
-5, -3, 0, 2
Solve 2*o**5/15 + 52*o**4/3 + 8182*o**3/15 - 17684*o**2/15 - 2728*o/5 + 5808/5 = 0.
-66, -1, 1, 2
Suppose -742586*s**5/11 - 11995620*s**4/11 - 77510160*s**3/11 - 250417440*s**2/11 - 404520480*s/11 - 261382464/11 = 0. Calculate s.
-42/13
Factor -g**4 - 530*g**3 + 1068*g**2 + 2120*g - 4256.
-(g - 2)**2*(g + 2)*(g + 532)
What is z in 6*z**5/17 + 8*z**4/17 - 70*z**3/17 + 104*z/17 + 32/17 = 0?
-4, -1, -1/3, 2
Factor -5*s**4 - 2745*s**3 - 378120*s**2 - 375380*s.
-5*s*(s + 1)*(s + 274)**2
Factor -2*r**4/5 + 18*r**3/5 - 6*r**2 + 14*r/5.
-2*r*(r - 7)*(r - 1)**2/5
Factor -2*i**2 - 220*i.
-2*i*(i + 110)
Factor -z**4/4 - 3*z**3/4 - z**2/2.
-z**2*(z + 1)*(z + 2)/4
What is r in -3*r**4/2 + 397*r**3/2 - 8778*r**2 + 130680*r - 42592 = 0?
1/3, 44
Determine m so that 30*m**5 + 33*m**4 - 3*m**3 - 6*m**2 = 0.
-1, -1/2, 0, 2/5
Factor -3*h**4 + 6*h**3 + 21*h**2 + 12*h.
-3*h*(h - 4)*(h + 1)**2
Determine m so that 28*m**4 + 152*m**3 + 212*m**2 - 8*m - 96 = 0.
-3, -2, -1, 4/7
Factor -h**2 + 2042*h - 1042441.
-(h - 1021)**2
Suppose -q**2 + 84*q - 1764 = 0. What is q?
42
Factor -3*v**4 - 12*v**3 - 15*v**2 - 6*v.
-3*v*(v + 1)**2*(v + 2)
Factor 4*v**2 + 68*v + 264.
4*(v + 6)*(v + 11)
Let 3*a**5 + 27*a**4 - 291*a**3 + 693*a**2 - 432*a = 0. What is a?
-16, 0, 1, 3
Suppose -h**3/6 + 43*h**2/6 + 71*h/3 - 92/3 = 0. What is h?
-4, 1, 46
Factor -22*p**3 + 62*p**2 - 32*p - 8.
-2*(p - 2)*(p - 1)*(11*p + 2)
Let -2*j**2/5 - 1978*j/5 - 1976/5 = 0. What is j?
-988, -1
Solve -2*m**2/13 + 104*m + 1354/13 = 0 for m.
-1, 677
Factor 5*w**2 - 18720*w + 17521920.
5*(w - 1872)**2
Factor 3*f**2 - 12*f + 9.
3*(f - 3)*(f - 1)
Let -2*o**5/9 - 32*o**4/9 - 128*o**3/9 - 212*o**2/9 - 158*o/9 - 44/9 = 0. What is o?
-11, -2, -1
Factor -u**4/4 - u**3/2 + u/2 + 1/4.
-(u - 1)*(u + 1)**3/4
Factor z**2/3 - 784*z + 460992.
(z - 1176)**2/3
Suppose 3*l**4/4 - 3*l**3/2 + 3*l/2 - 3/4 = 0. Calculate l.
-1, 1
Suppose c**2/4 + 831*c + 690561 = 0. Calculate c.
-1662
Suppose o**4/6 + 11*o**3/6 - 2*o**2 = 0. What is o?
-12, 0, 1
Factor 4*r**2 + 180*r - 1000.
4*(r - 5)*(r + 50)
Factor d**4/3 + d**3.
d**3*(d + 3)/3
Factor -22*o**2/7 - 26*o - 28.
-2*(o + 7)*(11*o + 14)/7
Find z, given that 3*z**5/4 + 36*z**4 + 69*z**3/2 - 36*z**2 - 141*z/4 = 0.
-47, -1, 0, 1
Solve -16*r**3/5 - 47*r**2/5 + 3*r/5 = 0 for r.
-3, 0, 1/16
What is n in -n**2/3 - n/3 + 2/3 = 0?
-2, 1
Factor 5*i**2 - 2825*i + 5630.
5*(i - 563)*(i - 2)
Suppose -g**4/3 - 10*g**3 + 4*g**2/3 + 40*g = 0. What is g?
-30, -2, 0, 2
Factor -3*s**5 + 3*s**4 + 9*s**3 - 15*s**2 + 6*s.
-3*s*(s - 1)**3*(s + 2)
Let 36*o**5 - 48*o**4 + 22*o**3 - 4*o**2 + o/4 = 0. What is o?
0, 1/6, 1/2
Suppose 2*m**4/17 + 768*m**3/17 + 2292*m**2/17 + 2288*m/17 + 762/17 = 0. Calculate m.
-381, -1
Factor -2*z**2/5 + 4*z/5 + 448/5.
-2*(z - 16)*(z + 14)/5
Let -2*g**2/9 + 872*g/9 = 0. What is g?
0, 436
Solve -3*l**2 - 129*l + 132 = 0 for l.
-44, 1
Factor -q**3/2 + 2*q**2 + 2*q - 8.
-(q - 4)*(q - 2)*(q + 2)/2
Factor -3*l**5/2 - 81*l**4 + 165*l**3/2.
-3*l**3*(l - 1)*(l + 55)/2
Let -2*m**3 - 12*m**2 + 398*m + 408 = 0. Calculate m.
-17, -1, 12
Factor o**4/4 + 3*o**3/4 - 15*o**2/4 + 17*o/4 - 3/2.
(o - 1)**3*(o