ne k so that -k**2 - 19*k = 0.
-19, 0
Suppose 52*r**3 - 164*r**2 + 128*r - 16 = 0. What is r?
2/13, 1, 2
Factor -2*s**2/7 + 116*s/7 - 624/7.
-2*(s - 52)*(s - 6)/7
What is a in 4*a**5 + 220*a**4 + 208*a**3 - 432*a**2 = 0?
-54, -2, 0, 1
Factor g**3/5 + 344*g**2/5 + 137*g + 342/5.
(g + 1)**2*(g + 342)/5
Suppose -5*g**2 + 20900*g - 21840500 = 0. Calculate g.
2090
Determine k, given that k**4 - 9*k**3 + 5*k**2 + 81*k - 126 = 0.
-3, 2, 3, 7
Solve -5*y**4 + 50*y**3 - 140*y**2 + 120*y = 0.
0, 2, 6
Suppose 2*a**3/9 - 52*a**2/9 + 184*a/9 - 176/9 = 0. Calculate a.
2, 22
Factor 56*u**3 - 44*u**2 + 8*u.
4*u*(2*u - 1)*(7*u - 2)
Factor 2*p**4/11 + 10*p**3/11 + 14*p**2/11 + 6*p/11.
2*p*(p + 1)**2*(p + 3)/11
Factor -5*t**4 - 190*t**3 - 2300*t**2 - 9810*t - 7695.
-5*(t + 1)*(t + 9)**2*(t + 19)
Factor k**5/2 - 7*k**4/2 - 36*k**3 + 224*k**2 + 256*k.
k*(k - 8)**2*(k + 1)*(k + 8)/2
Solve r**4/2 + 4*r**3 + 7*r**2 - 4*r - 15/2 = 0.
-5, -3, -1, 1
Factor 4*z**3 + 340*z**2 + 8732*z + 60236.
4*(z + 11)*(z + 37)**2
Factor -c**4 - 17*c**3 - 80*c**2 - 64*c.
-c*(c + 1)*(c + 8)**2
Factor -65*c**2 + 470*c - 105.
-5*(c - 7)*(13*c - 3)
Factor x**2 + 37*x.
x*(x + 37)
Suppose -j**5 - 8*j**4 + 72*j**3 - 158*j**2 + 137*j - 42 = 0. Calculate j.
-14, 1, 3
Factor -10*z**2 + 588*z + 118.
-2*(z - 59)*(5*z + 1)
Factor -n**4/3 - 29*n**3/3 - 105*n**2 - 1519*n/3 - 2744/3.
-(n + 7)**3*(n + 8)/3
Factor -u**2/4 + 7*u/2 + 18.
-(u - 18)*(u + 4)/4
Let w**4 - 113*w**3/4 - 53*w**2 + 15*w = 0. What is w?
-2, 0, 1/4, 30
Let -847602*s**3 - 172732*s**2 + 3400*s - 16 = 0. What is s?
-2/9, 2/217
Factor -36*r**2 - 316*r + 72.
-4*(r + 9)*(9*r - 2)
Suppose -4*n**2/5 + 96*n/5 + 20 = 0. Calculate n.
-1, 25
Determine h so that -h**3/5 + 17*h**2/5 - 15*h + 99/5 = 0.
3, 11
Solve -15*b**3 + 426*b**2 + 732*b - 360 = 0.
-2, 2/5, 30
Factor -2*l**3/9 + 1024*l**2/3 - 524288*l/3 + 268435456/9.
-2*(l - 512)**3/9
Factor -3*s**4 + 318*s**3 + 645*s**2 + 324*s.
-3*s*(s - 108)*(s + 1)**2
Solve -2*t**4/7 - 224*t**3 - 3130*t**2/7 - 1564*t/7 = 0.
-782, -1, 0
Factor -x**2/4 - 33*x/4 - 31/2.
-(x + 2)*(x + 31)/4
Factor 5*f**3/3 + 55*f**2/3 - 925*f/3 + 875.
5*(f - 5)**2*(f + 21)/3
Find a such that -2*a**2 - 20*a - 32 = 0.
-8, -2
Factor 2*h**3/11 - 80*h**2/11 + 800*h/11.
2*h*(h - 20)**2/11
Find p such that -3*p**4/5 + 21*p**3/5 - 27*p**2/5 - 21*p/5 + 6 = 0.
-1, 1, 2, 5
Factor -35*n**2 - 42605*n - 12170.
-5*(n + 1217)*(7*n + 2)
Let -2*g**2/3 + 2*g/3 + 60 = 0. Calculate g.
-9, 10
Let r**4 + 9*r**3 + 2*r**2 - 84*r + 72 = 0. Calculate r.
-6, 1, 2
What is w in -3*w**2 + 75*w + 252 = 0?
-3, 28
Factor -4*l**3/3 + 26*l**2/3 + 46*l/3 + 16/3.
-2*(l - 8)*(l + 1)*(2*l + 1)/3
Factor 2*q**4 + 40*q**3 + 198*q**2 - 40*q - 200.
2*(q - 1)*(q + 1)*(q + 10)**2
Suppose -6*k**4/7 - 93*k**3/7 - 366*k**2/7 - 333*k/7 + 270/7 = 0. What is k?
-10, -3, 1/2
Let 4*b**3/7 - 576*b**2/7 + 20736*b/7 = 0. What is b?
0, 72
Suppose 500*a**2 - 5100*a + 13005 = 0. Calculate a.
51/10
Factor 5*g**2 + 425*g + 830.
5*(g + 2)*(g + 83)
Factor 2*r**2 + 150*r - 308.
2*(r - 2)*(r + 77)
Factor -3*v**4/2 + 585*v**3/4 - 291*v**2/4.
-3*v**2*(v - 97)*(2*v - 1)/4
Determine b so that -14*b**4 + 6*b**3 + 64*b**2 - 24*b - 32 = 0.
-2, -4/7, 1, 2
Suppose 4*i**4 - 208*i**3 + 3088*i**2 - 9984*i + 9216 = 0. Calculate i.
2, 24
Factor 3*p**2 - 102*p + 192.
3*(p - 32)*(p - 2)
Find h such that 2*h**2/9 - 850*h/9 + 848/9 = 0.
1, 424
Determine h, given that 2*h**3 - 52*h**2 + 98*h - 48 = 0.
1, 24
Factor 2*f**4 + 22*f**3 + 64*f**2 + 56*f.
2*f*(f + 2)**2*(f + 7)
What is q in -2*q**3/7 + 618*q**2/7 - 6864*q + 6776 = 0?
1, 154
Determine s, given that s**2/6 - 97*s/3 - 132 = 0.
-4, 198
What is b in 3*b**4 - 1395*b**3 + 162858*b**2 - 158688*b - 322944 = 0?
-1, 2, 232
Find a, given that -a**3/5 - 2586*a**2/5 - 1671849*a/5 = 0.
-1293, 0
Factor q**3/8 - 9*q**2 + 162*q.
q*(q - 36)**2/8
Find n such that -n**3/5 - 94*n**2 - 937*n/5 - 468/5 = 0.
-468, -1
Suppose 3*s**5/5 - 138*s**3/5 + 432*s**2/5 - 81*s/5 - 648/5 = 0. Calculate s.
-8, -1, 3
Let -3*q**5/7 - 36*q**4/7 + 135*q**3/7 = 0. What is q?
-15, 0, 3
Let 2*z**3/11 - 4*z**2/11 - 6*z/11 = 0. What is z?
-1, 0, 3
Factor -5*w**2 - 730*w - 26645.
-5*(w + 73)**2
Suppose -d**5/3 - 13*d**4/3 - 19*d**3 - 95*d**2/3 - 50*d/3 = 0. Calculate d.
-5, -2, -1, 0
What is w in -2*w**3 + 138*w**2 - 270*w + 134 = 0?
1, 67
Factor 3*b**3/2 - 57*b**2 + 495*b/2.
3*b*(b - 33)*(b - 5)/2
Let m**2/3 + 1186*m/3 + 351649/3 = 0. What is m?
-593
Factor 2*k**3/5 - 4*k**2/5 - 32*k/5 + 64/5.
2*(k - 4)*(k - 2)*(k + 4)/5
Let 6*c**4/11 + 306*c**3/11 + 1686*c**2/11 + 3006*c/11 + 1620/11 = 0. What is c?
-45, -3, -2, -1
What is f in 2*f**5/9 + 46*f**4/9 + 316*f**3/9 + 356*f**2/9 - 206*f + 126 = 0?
-9, -7, 1
Factor -18*l**3 + 1032*l**2 + 694*l + 116.
-2*(l - 58)*(3*l + 1)**2
Find q such that -q**5/3 - 4*q**4 - 3*q**3 + 122*q**2/3 + 28*q - 120 = 0.
-10, -3, 2
Factor -3*u**2/4 - 705*u/2 - 702.
-3*(u + 2)*(u + 468)/4
Determine k, given that 2*k**2/3 + 10*k + 52/3 = 0.
-13, -2
Let 5*w**4/3 - 50*w**3/3 + 25*w**2 + 50*w/3 - 80/3 = 0. Calculate w.
-1, 1, 2, 8
Determine c so that -4*c**4/3 + 1432*c**3/3 - 1420*c**2 = 0.
0, 3, 355
Factor f**3/3 - 5*f**2/3 - f/3 + 5/3.
(f - 5)*(f - 1)*(f + 1)/3
Factor 5*p**5/3 - 5*p**3 - 10*p**2/3.
5*p**2*(p - 2)*(p + 1)**2/3
Determine j, given that -5*j**5 - 20*j**4 + 105*j**3 = 0.
-7, 0, 3
Factor 2*u**4/9 + 2*u**3/9 - 2*u**2/9 - 2*u/9.
2*u*(u - 1)*(u + 1)**2/9
Suppose 2*o**4 + 174*o**3 - 534*o**2 + 538*o - 180 = 0. What is o?
-90, 1
Factor -s**2/2 + 25*s + 51/2.
-(s - 51)*(s + 1)/2
Solve -3645*n**4 + 30375*n**3 - 71820*n**2 + 3920*n + 109760 = 0 for n.
-1, 28/9
What is x in -5*x**2 + 585*x - 2800 = 0?
5, 112
Let -2*g**3/5 - 42*g**2 - 5406*g/5 + 5618/5 = 0. What is g?
-53, 1
Determine y, given that 2*y**3/9 + 236*y**2 + 188680*y/3 + 1123600/9 = 0.
-530, -2
Factor 5*u**4 - 55*u**3 - 145*u**2 + 195*u.
5*u*(u - 13)*(u - 1)*(u + 3)
Determine m, given that 5*m**3 + 80*m**2 + 325*m + 250 = 0.
-10, -5, -1
Determine t so that -4*t**5/5 + 128*t**4/5 - 148*t**3 - 4472*t**2/5 - 6192*t/5 - 2592/5 = 0.
-2, -1, 18
Let -2*m**4 - 946*m**3 - 8406*m**2 - 25110*m - 25056 = 0. What is m?
-464, -3
Find y, given that -5*y**4 - 30*y**3 + 235*y**2 - 420*y + 220 = 0.
-11, 1, 2
Factor d**2/6 - 131*d/3 + 17161/6.
(d - 131)**2/6
What is x in -x**3 + 468*x**2/11 - 5103*x/11 + 2646/11 = 0?
6/11, 21
Find c such that -2*c**4 + 96*c**3 - 1034*c**2 - 3300*c + 10000 = 0.
-4, 2, 25
Suppose -2*b**5/19 + 8*b**4/19 - 20*b**2/19 + 2*b/19 + 12/19 = 0. Calculate b.
-1, 1, 2, 3
Factor -4*s**4 - 24*s**3 + 60*s**2 + 176*s - 336.
-4*(s - 2)**2*(s + 3)*(s + 7)
Let -28*p**3/3 - 74*p**2/3 - 26*p/3 + 20/3 = 0. What is p?
-2, -1, 5/14
Factor 9*l**5 + 30*l**4 - 45*l**3 - 270*l**2 - 300*l - 72.
3*(l - 3)*(l + 2)**3*(3*l + 1)
Factor i**2/5 - 188*i + 1876/5.
(i - 938)*(i - 2)/5
What is z in z**2 + 9640*z + 23232400 = 0?
-4820
Factor -p**5/3 + p**3/3.
-p**3*(p - 1)*(p + 1)/3
Find q, given that -2*q**2 - 7850*q + 7852 = 0.
-3926, 1
Factor 2*m**4/3 - 8*m**2/3.
2*m**2*(m - 2)*(m + 2)/3
Factor 355*f**3 - 1400*f**2 + 1340*f + 80.
5*(f - 2)**2*(71*f + 4)
Determine p so that 3*p**2 - 27*p + 60 = 0.
4, 5
Factor 18*t**3/11 + 120*t**2/11 + 266*t/11 + 196/11.
2*(t + 2)*(3*t + 7)**2/11
Factor 4*n**3 + 80*n**2 + 268*n + 192.
4*(n + 1)*(n + 3)*(n + 16)
Factor -5*x**2 + 35*x + 1140.
-5*(x - 19)*(x + 12)
Solve -i**3/3 - 50*i**2/3 + 275*i/3 = 0 for i.
-55, 0, 5
Factor 5*k**2 - 35*k - 1470.
5*(k - 21)*(k + 14)
Determine u, given that 4*u**4 - 9160*u**3 + 5225748*u**2 + 21013040*u + 21049744 = 0.
-2, 1147
Suppose 5*c**5 + 350*c**4 + 1640*c**3 + 930*c**2 - 2925*c = 0. Calculate c.
-65, -3, 0, 1
Find v such that -4*v**4/5 - 8324*v**3/5 - 24948*v**2/5 - 4988*v - 8312/5 = 0.
-2078, -1
Suppose 3*t**3/7 - 6*t**2 - 165*t/7 + 2904/7 = 0. What is t?
-8, 11
Find w such that 5*w**2 + 3040*w - 9165 = 0.
-611, 3
Determine r, given that 8*r**4 + 78*r**3 + 270*r**2 + 378*r + 162 = 0.
-3, -3/4
Factor q**4/5 + 13*q**3/5 - 121*q**2/5 - 133*q/5.
q*(q - 7)*(q + 1)*(q + 19)/5
Factor -99*m**3 + 101*m**2 - 2*m.
-m*(m - 1)*(99*m - 2)
Find j such that -28*j**5 + 440*j**4 + 156*j**3 - 440*j**2 - 128*j = 0.
-1, -2/7, 0, 1, 16
Factor 2*c**2/5 - 8*c.
2*c*(c - 20)/5
Factor 3*l**3/2 - 7*l**2/2 - 3*l.
l*(l - 3)*(3*l + 2)/2
What is f in f**3/2 - 15*f**2/2 - 37*f/2 + 51/2 = 0?
-3