 that q**3 - 554*q**2 - 555*q = 0.
-1, 0, 555
Factor 5*q**2 - 595*q + 5940.
5*(q - 108)*(q - 11)
Suppose -4*f**4 - 168*f**3 - 292*f**2 + 1104*f - 640 = 0. What is f?
-40, -4, 1
Let -2*z**4 - 27*z**3/2 - 22*z**2 = 0. What is z?
-4, -11/4, 0
Factor 2*u**4/9 - 8*u**3/9 + 10*u**2/9 - 4*u/9.
2*u*(u - 2)*(u - 1)**2/9
Determine r, given that 3*r**2 + 3*r - 90 = 0.
-6, 5
Suppose -2*z**3/7 - 34*z**2/7 - 192*z/7 - 360/7 = 0. What is z?
-6, -5
Find m, given that 9*m**4 + 228*m**3 + 750*m**2 - 9900*m - 3375 = 0.
-15, -1/3, 5
Factor 3*x**3/2 - 587*x**2 + 57232*x + 38416.
(x - 196)**2*(3*x + 2)/2
Factor -q**2/3 - 194*q/3 - 9409/3.
-(q + 97)**2/3
Determine x so that 312*x**2/7 - 6*x/7 - 18/7 = 0.
-3/13, 1/4
Determine t, given that 12*t**5 + 63*t**4 + 51*t**3 - 51*t**2 - 63*t - 12 = 0.
-4, -1, -1/4, 1
Determine z so that 195*z**2 - 189*z - 6 = 0.
-2/65, 1
Find l, given that -3*l**2 - 3*l + 90 = 0.
-6, 5
Suppose j**2/4 - 15*j/4 + 9 = 0. What is j?
3, 12
Factor -8*m**3 + 2660*m**2 + 8007*m/2 + 1503.
-(m - 334)*(4*m + 3)**2/2
Let 2*k**5/5 - 16*k**4/5 + 38*k**3/5 - 16*k**2/5 - 8*k + 32/5 = 0. Calculate k.
-1, 1, 2, 4
Let 4*a**4 - 10*a**3 - 70*a**2 + 160*a + 96 = 0. Calculate a.
-4, -1/2, 3, 4
Determine h so that -h**2/3 - 19*h - 180 = 0.
-45, -12
Suppose -5*j**5 + 325*j**4 + 2430*j**3 + 6380*j**2 + 7160*j + 2880 = 0. What is j?
-2, -1, 72
Factor -14*l**2/17 - 10*l/17 + 4/17.
-2*(l + 1)*(7*l - 2)/17
What is o in 2*o**4/5 - 18*o**3/5 - 26*o**2/5 + 258*o/5 - 216/5 = 0?
-4, 1, 3, 9
Solve -j**2 - 8*j - 16 = 0.
-4
Factor -z**2/3 - 16*z - 192.
-(z + 24)**2/3
Find l, given that -2*l**4 - 8*l**3 + 32*l**2 + 32*l - 96 = 0.
-6, -2, 2
Factor 5*c**2/2 + 54*c - 22.
(c + 22)*(5*c - 2)/2
Let -c**3/3 - 31*c**2/2 - 45*c/2 = 0. Calculate c.
-45, -3/2, 0
Factor 2*b**2 - 32*b.
2*b*(b - 16)
Let -5*c**4 + 495*c**3 - 12970*c**2 + 35520*c - 23040 = 0. Calculate c.
1, 2, 48
Solve -26*y**5/9 - 82*y**4/9 - 10*y**3 - 38*y**2/9 - 4*y/9 = 0.
-1, -2/13, 0
Find k such that -k**4/4 - 2*k**3 + 35*k**2/4 + 147*k/2 = 0.
-7, 0, 6
Let -u**5/6 + 4*u**4/3 + 23*u**3/6 - 67*u**2/3 - 238*u/3 - 196/3 = 0. Calculate u.
-2, 7
Factor -4*j**5/5 - 24*j**4/5 - 52*j**3/5 - 48*j**2/5 - 16*j/5.
-4*j*(j + 1)**2*(j + 2)**2/5
Determine o so that 4*o**3 + 56*o**2 + 160*o = 0.
-10, -4, 0
Factor 9774075*s**2 - 21660*s + 12.
3*(1805*s - 2)**2
Suppose -3*k**5/4 + 9*k**4 - 21*k**3/4 - 36*k**2 + 33*k = 0. What is k?
-2, 0, 1, 2, 11
Factor -5*o**4/4 - 11*o**3/2 - 2*o**2.
-o**2*(o + 4)*(5*o + 2)/4
Factor 2*i**5/5 - 128*i**4 + 638*i**3/5.
2*i**3*(i - 319)*(i - 1)/5
Determine n so that -n**3 + 52*n**2 = 0.
0, 52
Factor -4*p**2 - 20*p.
-4*p*(p + 5)
What is g in g**2 + 1682*g = 0?
-1682, 0
Determine i, given that -4*i**2 - 1504*i = 0.
-376, 0
Factor -2*y**4/7 + 34*y**3/7 - 62*y**2/7 + 30*y/7.
-2*y*(y - 15)*(y - 1)**2/7
Determine x, given that 20*x**4 - 312*x**3 + 652*x**2 + 312*x = 0.
-2/5, 0, 3, 13
Determine j so that j**2/7 - j - 60/7 = 0.
-5, 12
Factor -5*m**3 + 15*m**2 + 5*m - 15.
-5*(m - 3)*(m - 1)*(m + 1)
Factor -m**2/6 + 74*m/3 - 2738/3.
-(m - 74)**2/6
Factor -q**2/7 - 9112*q/7 - 20757136/7.
-(q + 4556)**2/7
Let -12*p**4 + 772*p**3 - 956*p**2 - 3252*p - 1512 = 0. What is p?
-1, -2/3, 3, 63
Determine w, given that -4*w**4 + 13*w**3 - 6*w**2 - 13*w + 10 = 0.
-1, 1, 5/4, 2
Factor 5*n**4 - 5*n**3 - 10*n**2.
5*n**2*(n - 2)*(n + 1)
Factor 2*s**3/5 + 28*s**2/5 + 88*s/5 + 16.
2*(s + 2)**2*(s + 10)/5
Determine r, given that -93*r**5/8 + 471*r**4/8 - 495*r**3/8 - 435*r**2/8 + 147*r/2 - 9/2 = 0.
-1, 2/31, 1, 2, 3
Determine m so that 2*m**5/9 - 4*m**4/3 + 2*m**3 - 8*m**2/9 = 0.
0, 1, 4
Solve -3*n**5/5 + 27*n**4/5 - 81*n**3/5 + 81*n**2/5 = 0.
0, 3
Factor 3*m**2/4 + 81*m/2 + 159/4.
3*(m + 1)*(m + 53)/4
Determine a, given that 2*a**2/7 + 1118*a/7 = 0.
-559, 0
Suppose 2*d**3/3 - 140*d**2/3 + 392*d + 16464 = 0. Calculate d.
-14, 42
Factor -n**3 - 11*n**2 - 10*n.
-n*(n + 1)*(n + 10)
Suppose 2*v**2 + 12*v = 0. What is v?
-6, 0
Factor s**2/2 + 27*s/2 - 234.
(s - 12)*(s + 39)/2
Find v, given that 2*v**3/9 + 8*v**2 + 22*v/3 - 140/9 = 0.
-35, -2, 1
Solve 12932*o**2 - 12940*o + 8 = 0 for o.
2/3233, 1
Factor 2*w**3/7 - 206*w**2/7 + 204*w/7.
2*w*(w - 102)*(w - 1)/7
Let 12*m**5 + 339*m**4 + 1548*m**3 + 2334*m**2 + 1320*m + 207 = 0. Calculate m.
-23, -3, -1, -1/4
Find v such that -6*v**4 - 82*v**3 + 167*v**2/6 - 7*v/3 = 0.
-14, 0, 1/6
Factor -12*c**2 + 604*c/3 + 136/3.
-4*(c - 17)*(9*c + 2)/3
What is d in -5*d**4/2 - 15*d**3/2 + 75*d**2/2 - 85*d/2 + 15 = 0?
-6, 1
Factor -3*k**2/2 - 459*k - 70227/2.
-3*(k + 153)**2/2
Determine k, given that 5*k**5/3 - 20*k**4/3 + 5*k**3 + 20*k**2/3 - 20*k/3 = 0.
-1, 0, 1, 2
Factor b**4/2 - 269*b**3/2 - 136*b**2 + 270*b.
b*(b - 270)*(b - 1)*(b + 2)/2
Solve -2*m**2/11 + 2184*m/11 - 596232/11 = 0.
546
Determine c so that -c**4/3 - c**3/3 = 0.
-1, 0
Suppose -x**5 - 226*x**4 - 13212*x**3 - 49950*x**2 - 36963*x = 0. What is x?
-111, -3, -1, 0
What is f in f**2 - 7*f + 6 = 0?
1, 6
Find l, given that -2*l**5/9 + 36*l**4 = 0.
0, 162
Solve -2*v**4/7 + 312*v**3/7 - 10854*v**2/7 - 102664*v/7 - 201720/7 = 0 for v.
-5, -3, 82
Factor -3*l**3 - 249*l**2 + 252*l.
-3*l*(l - 1)*(l + 84)
Find d, given that -2*d**3/9 - 20*d**2/3 - 50*d = 0.
-15, 0
Determine z so that -3*z**5 + 10*z**4 + 11*z**3 - 10*z**2 - 8*z = 0.
-1, -2/3, 0, 1, 4
Determine k so that 2*k**2 + 16568*k + 34312328 = 0.
-4142
Determine m, given that -5*m**5 - 115*m**4 - 715*m**3 + 655*m**2 + 14220*m + 12960 = 0.
-9, -8, -1, 4
Find d, given that -d**3/6 + 17*d**2/6 + 233*d/6 - 275/2 = 0.
-11, 3, 25
Determine q so that -4*q**5 - 12*q**4 + 20*q**3 + 12*q**2 - 16*q = 0.
-4, -1, 0, 1
Factor -q**3/3 + 274*q**2/3 - 6164*q - 12696.
-(q - 138)**2*(q + 2)/3
Suppose 4*l**4 + 92*l**3 + 372*l**2 - 1820*l + 1352 = 0. What is l?
-13, 1, 2
Factor 8*l**5 + 84*l**4 + 324*l**3 + 540*l**2 + 324*l.
4*l*(l + 3)**3*(2*l + 3)
Determine q, given that -3*q**3 - 6351*q**2 - 3358089*q + 3364443 = 0.
-1059, 1
Suppose -o**3/3 - 20*o**2/3 + 4*o/3 + 80/3 = 0. Calculate o.
-20, -2, 2
Find q such that q**4 + 9*q**3 + 17*q**2 - 9*q - 18 = 0.
-6, -3, -1, 1
Solve 4*t**2/5 - 2*t - 14/5 = 0.
-1, 7/2
Factor 9*a**3/4 - 96*a**2 + 244*a - 160.
(a - 40)*(3*a - 4)**2/4
Solve -27*l**4 + 738*l**3 - 5727*l**2 + 9348*l - 4332 = 0 for l.
1, 38/3
Factor -5*i**2/3 - 35*i - 190/3.
-5*(i + 2)*(i + 19)/3
Factor -2*z**3/15 + 7582*z**2/5 - 4310746*z - 64683938/15.
-2*(z - 5687)**2*(z + 1)/15
Factor -v**4/5 + v**3/5 + v**2/5 - v/5.
-v*(v - 1)**2*(v + 1)/5
Find z such that 18*z**5/5 + 166*z**4/5 + 144*z**3/5 - 264*z**2/5 - 64*z/5 = 0.
-8, -2, -2/9, 0, 1
Find x such that 4*x**2 - 196*x = 0.
0, 49
Factor r**5 - 20*r**4 + 25*r**3 + 710*r**2 + 1820*r + 1352.
(r - 13)**2*(r + 2)**3
Factor -2*a**4 + 44*a**3 - 216*a**2 + 400*a - 256.
-2*(a - 16)*(a - 2)**3
What is d in d**2/7 + 2265*d/7 + 2264/7 = 0?
-2264, -1
Factor -236196*c**5 + 721710*c**4 - 882090*c**3 + 539055*c**2 - 658845*c/4 + 161051/8.
-(18*c - 11)**5/8
Determine a, given that a**5/5 + 87*a**4 + 48807*a**3/5 + 327001*a**2/5 + 690792*a/5 + 412164/5 = 0.
-214, -3, -1
Factor -h**3/2 - h**2/2 + 5*h/2 - 3/2.
-(h - 1)**2*(h + 3)/2
Find i such that -84*i**5 + 52*i**4 + 244*i**3 - 324*i**2 + 128*i - 16 = 0.
-2, 2/7, 1/3, 1
Factor -3*l**2/8 + 651*l/8 + 327/4.
-3*(l - 218)*(l + 1)/8
Solve -4*l**5 + 4*l**4 + 136*l**3 - 256*l**2 - 384*l = 0 for l.
-6, -1, 0, 4
Suppose 4*a**2 - 156*a - 1504 = 0. Calculate a.
-8, 47
Find i such that 40*i**4 - 180*i**3 + 290*i**2 - 195*i + 45 = 0.
1/2, 1, 3/2
Factor 3*w**3/4 + 183*w**2/2 + 11859*w/4 + 10443.
3*(w + 4)*(w + 59)**2/4
Suppose -d**2 - 285*d = 0. What is d?
-285, 0
Solve 8*k**3 - 82*k**2 + 220*k - 50 = 0 for k.
1/4, 5
Determine z so that -z**3/6 + 71*z**2/3 + 97*z/2 - 72 = 0.
-3, 1, 144
Factor 5*v**2 + 560*v + 15680.
5*(v + 56)**2
Factor 3*f**3/7 + 48*f**2/7 - 57*f/7 - 102/7.
3*(f - 2)*(f + 1)*(f + 17)/7
Suppose 3*j**2 + 12*j - 96 = 0. What is j?
-8, 4
Let -5*t**4 + 110*t**3 - 705*t**2 + 1640*t - 1040 = 0. What is t?
1, 4, 13
Factor -3*l**2 + 132*l - 1452.
-3*(l - 22)**2
Determine d, given that -3*d**3 + 1341*d**2 - 199809*d + 9923847 = 0.
149
Solve 5*x**5/3 + 137*x**4/3 - 751*x**3/3 - 457*x**2/3 + 746*x/3 + 320/3 = 0 for x.
-32, -1, -2/5, 1, 5
Suppose -2*f**5/9 + 20*f**4/9 + 8*f**3/3 - 20*f**2/9 - 22*f/9 = 0. What is f?
-1, 0, 1, 11
Suppose -3*