*a**2 + 240*a - 200 = 0. Calculate a.
-10, -5, 1, 2
Find s such that 188*s**2 - 7524*s + 160 = 0.
1/47, 40
Suppose y**2/2 + 90*y + 179/2 = 0. What is y?
-179, -1
Determine h so that 5*h**4 - 90*h**3 - 1515*h**2 + 3280*h - 1680 = 0.
-12, 1, 28
Solve 2*x**2 + 2*x - 24 = 0 for x.
-4, 3
Factor d**4/3 + 55*d**3/3 + 52*d**2 - 4*d/3 - 208/3.
(d - 1)*(d + 2)**2*(d + 52)/3
Factor -d**4/9 + 349*d**3/9 - 695*d**2/9 + 347*d/9.
-d*(d - 347)*(d - 1)**2/9
Suppose 2*p**5 + 52*p**4/3 + 170*p**3/3 + 260*p**2/3 + 184*p/3 + 16 = 0. What is p?
-3, -2, -1, -2/3
Factor -2*s**2/3 - 80*s/3 + 56.
-2*(s - 2)*(s + 42)/3
Factor -2*f**2/23 - 244*f/23 - 7442/23.
-2*(f + 61)**2/23
Factor -18*c**2/7 - 12*c/7 - 2/7.
-2*(3*c + 1)**2/7
Find u such that -7*u**4/4 - 43*u**3 - 401*u**2/4 - 26*u + 33 = 0.
-22, -2, -1, 3/7
Factor 2*g**3/3 - 110*g**2/3 + 1456*g/3 + 1568/3.
2*(g - 28)**2*(g + 1)/3
Determine w, given that 2*w**4 - 4*w**3 - 30*w**2 - 8*w + 40 = 0.
-2, 1, 5
Solve 45*w**5 + 645*w**4 - 490*w**3 - 570*w**2 + 445*w - 75 = 0.
-15, -1, 1/3, 1
Find a, given that -2*a**3/11 + 28*a**2/11 + 62*a/11 + 32/11 = 0.
-1, 16
Let -9*a**5/5 - 138*a**4/5 + 252*a**3/5 - 54*a**2/5 - 51*a/5 = 0. What is a?
-17, -1/3, 0, 1
Suppose -14*r**5 - 172*r**4 - 468*r**3 - 512*r**2 - 238*r - 36 = 0. Calculate r.
-9, -1, -2/7
Solve -v**3 + 3*v**2 - 2*v = 0.
0, 1, 2
Find y, given that -27*y**5 + 108*y**4 + 156*y**3 - 78*y**2 - 129*y - 30 = 0.
-1, -2/3, -1/3, 1, 5
Solve 8*w**4 + 21*w**3 + 7*w**2 - 6*w = 0.
-2, -1, 0, 3/8
Determine g so that 5*g**5 + 515*g**4 - 1575*g**3 + 1585*g**2 - 530*g = 0.
-106, 0, 1
Let 4*j**2 + 1264*j + 1260 = 0. Calculate j.
-315, -1
Solve 5*l**4 - 2380*l**3 + 290270*l**2 - 1677900*l + 2485125 = 0.
3, 235
Factor i**2 + 35*i + 66.
(i + 2)*(i + 33)
Solve -o**3 + 22*o**2 - 96*o - 288 = 0 for o.
-2, 12
Determine d so that -d**3/2 - 2811*d**2 - 3953670*d - 7896100 = 0.
-2810, -2
Solve -9*u**3 + 33*u**2 - 30*u = 0 for u.
0, 5/3, 2
What is p in 5*p**2/2 + 22*p - 9/2 = 0?
-9, 1/5
Factor -4*a**2 - 2440*a - 12100.
-4*(a + 5)*(a + 605)
Factor 2*v**3/11 - 96*v**2/11 + 654*v/11 - 560/11.
2*(v - 40)*(v - 7)*(v - 1)/11
Factor 26*c**4 + 62*c**3 + 30*c**2 - 22*c - 16.
2*(c + 1)**3*(13*c - 8)
Factor 3*l**3/4 + 153*l**2/4.
3*l**2*(l + 51)/4
Factor -32*j**4/15 + 112*j**3/15 - 146*j**2/15 + 28*j/5 - 6/5.
-2*(j - 1)**2*(4*j - 3)**2/15
Find h, given that -2*h**4 - 458*h**3/3 - 146*h**2/3 + 458*h/3 + 152/3 = 0.
-76, -1, -1/3, 1
Factor 25*t**5 - 40*t**4 - 20*t**3.
5*t**3*(t - 2)*(5*t + 2)
Factor 3*q**3/2 - 15*q**2/2 - 12*q + 72.
3*(q - 4)**2*(q + 3)/2
Suppose 672*r**5/17 + 3184*r**4/17 + 1978*r**3/17 - 78*r**2/17 - 224*r/17 - 32/17 = 0. Calculate r.
-4, -4/7, -1/4, 1/3
Factor 4*r**4 - 80*r**3 + 468*r**2 - 648*r.
4*r*(r - 9)**2*(r - 2)
Find r, given that 5*r**4 + 225*r**3 + 1875*r**2 + 4375*r = 0.
-35, -5, 0
Factor -h**5 - 58*h**4 - 312*h**3.
-h**3*(h + 6)*(h + 52)
Find z such that 4*z**5/5 - 8*z**4/5 - 3*z**3/5 + z**2 + 2*z/5 = 0.
-1/2, 0, 1, 2
Suppose -s**3/2 + s**2 + 89*s/2 - 45 = 0. What is s?
-9, 1, 10
Factor 25*c**3 + 515*c**2 - 210*c.
5*c*(c + 21)*(5*c - 2)
Factor -4*w**4 - 16*w**3 + 4*w**2 + 16*w.
-4*w*(w - 1)*(w + 1)*(w + 4)
Factor -q**3/7 - 2*q**2/7 + 5*q/7 + 6/7.
-(q - 2)*(q + 1)*(q + 3)/7
Determine t so that -2*t**4/3 - 18*t**3 - 500*t**2/3 - 576*t - 1280/3 = 0.
-10, -8, -1
Solve n**2/4 + 1331*n/2 + 1771561/4 = 0 for n.
-1331
Suppose -2*u**2/9 + 4*u - 10 = 0. What is u?
3, 15
Find w such that 2*w**4/3 + 48*w**3 - 988*w**2 + 5488*w/3 - 890 = 0.
-89, 1, 15
Determine i, given that -3*i**3/4 + 299*i**2/4 + 51*i/2 - 50 = 0.
-1, 2/3, 100
Suppose -j**4/7 - 90*j**3/7 - 2197*j**2/7 - 7740*j/7 - 7396/7 = 0. What is j?
-43, -2
Factor 4*p**5/3 - 68*p**4/3 + 64*p**3/3.
4*p**3*(p - 16)*(p - 1)/3
Suppose -1476*x**4/7 + 27570*x**3/7 - 18212*x**2/7 + 3170*x/7 - 36/7 = 0. What is x?
1/82, 1/3, 18
What is t in 5*t**3 + 20755*t**2 + 21548875*t + 21528125 = 0?
-2075, -1
Factor 2*r**4 + 6*r**3 - 60*r**2 - 256*r - 192.
2*(r - 6)*(r + 1)*(r + 4)**2
Factor d**3/2 + 9*d**2 + 54*d + 108.
(d + 6)**3/2
Find l such that -l**4/3 + 83*l**3/3 - 158*l**2 + 932*l/3 - 616/3 = 0.
2, 77
What is o in -5*o**4 + 20*o**3 + 75*o**2 - 90*o = 0?
-3, 0, 1, 6
Factor -28*x**3 - 64*x**2 + 68*x + 24.
-4*(x - 1)*(x + 3)*(7*x + 2)
Let -d**4/3 - 8*d**3 - 128*d**2/3 = 0. Calculate d.
-16, -8, 0
Factor -c**4 + 5*c**3 + 4*c**2 - 20*c.
-c*(c - 5)*(c - 2)*(c + 2)
Let -y**5/2 + 2*y**4 - y**3/2 - 3*y**2 = 0. What is y?
-1, 0, 2, 3
Factor 2*g**3/21 - 4*g**2/3 - 64*g/21.
2*g*(g - 16)*(g + 2)/21
Factor 4*y**3 - 88*y**2 + 560*y - 800.
4*(y - 10)**2*(y - 2)
Factor 2*y**5 + 2*y**4 - 2*y**3 - 2*y**2.
2*y**2*(y - 1)*(y + 1)**2
Solve 4*a**5/11 + 2*a**4/11 - 4*a**3/11 - 2*a**2/11 = 0 for a.
-1, -1/2, 0, 1
Factor -14*c**2/13 - 310*c/13 - 44/13.
-2*(c + 22)*(7*c + 1)/13
Factor -3*f**3/4 - 3*f**2/2 + 129*f/4 - 30.
-3*(f - 5)*(f - 1)*(f + 8)/4
Determine k, given that 52*k**2 + 540*k - 352 = 0.
-11, 8/13
Find b, given that -b**2 + 28*b - 52 = 0.
2, 26
Factor 4*r**4 + 2288*r**3 + 324888*r**2 - 656656*r + 329476.
4*(r - 1)**2*(r + 287)**2
Factor -c**3 - 84*c**2 + 87*c + 170.
-(c - 2)*(c + 1)*(c + 85)
Let -1683*h**4 - 951*h**3 - 18*h**2 = 0. What is h?
-6/11, -1/51, 0
Factor 3*f**5 - 1917*f**4 + 305280*f**3 + 307200*f**2.
3*f**2*(f - 320)**2*(f + 1)
Factor -2*a**5/3 - 2*a**4 + 6*a**3 + 18*a**2.
-2*a**2*(a - 3)*(a + 3)**2/3
Determine u so that -3*u**2 - 27*u + 270 = 0.
-15, 6
Suppose 48*a**3 - 70*a**2 + 24*a - 2 = 0. Calculate a.
1/8, 1/3, 1
Factor 2*m**5 + 34*m**4 + 156*m**3 + 280*m**2 + 176*m.
2*m*(m + 2)**3*(m + 11)
Factor 4*r**3/5 + 208*r**2/5 + 1972*r/5 - 20184/5.
4*(r - 6)*(r + 29)**2/5
Factor k**2/7 + 2831*k/7 - 2832/7.
(k - 1)*(k + 2832)/7
Solve -4*c**4 - 52*c**3 - 104*c**2 + 160*c = 0.
-10, -4, 0, 1
Factor -32*c**2 + 228*c - 328.
-4*(c - 2)*(8*c - 41)
Factor 2*u**4/17 + 562*u**3/17 + 53544*u**2/17 + 1811296*u/17 + 7786880/17.
2*(u + 5)*(u + 92)**3/17
Solve 5*b**5 - 55*b**4 - 195*b**3 + 895*b**2 - 650*b = 0 for b.
-5, 0, 1, 2, 13
Factor -l**3 - 593*l**2 - 1183*l - 591.
-(l + 1)**2*(l + 591)
Suppose z**5/3 + 5*z**4/3 + 10*z**3/3 + 10*z**2/3 + 5*z/3 + 1/3 = 0. Calculate z.
-1
Determine t, given that 4*t**5 + 36*t**4 + 20*t**3 - 532*t**2 - 1320*t - 800 = 0.
-5, -2, -1, 4
Suppose 4*z**2/7 - 24*z/7 + 36/7 = 0. What is z?
3
Let 50*a**4 - 200*a**3 - 2038*a**2 - 1860*a - 432 = 0. What is a?
-4, -3/5, -2/5, 9
Factor 2*p**2/9 - 4280*p/9 + 2289800/9.
2*(p - 1070)**2/9
Factor -f**4/2 + f**3 + 3*f**2/2 - 2*f - 2.
-(f - 2)**2*(f + 1)**2/2
Find c such that -2*c**3 - 12*c**2 - 16*c = 0.
-4, -2, 0
Let 2*i**5/7 + 64*i**4/7 + 512*i**3/7 = 0. What is i?
-16, 0
Suppose 33*z**4 - 42*z**3 + 9*z**2 = 0. Calculate z.
0, 3/11, 1
Factor c**5/3 + 13*c**4/3 + 40*c**3/3 + 12*c**2.
c**2*(c + 2)**2*(c + 9)/3
Suppose -4*x**5 + 332*x**4 - 3624*x**3 + 15768*x**2 - 30996*x + 23004 = 0. What is x?
3, 71
Factor 2*p**3/3 + 8*p**2 + 14*p + 20/3.
2*(p + 1)**2*(p + 10)/3
Factor -2*l**3/11 + 6*l**2/11 + 8*l/11.
-2*l*(l - 4)*(l + 1)/11
Factor -r**3/4 - 93*r**2/4 + 47*r/2.
-r*(r - 1)*(r + 94)/4
Factor -d**4 + 10*d**3 - 11*d**2 - 70*d.
-d*(d - 7)*(d - 5)*(d + 2)
What is s in 14*s**5 + 856*s**4/3 + 342*s**3 - 1484*s**2/3 - 248*s + 304/3 = 0?
-19, -2, -2/3, 2/7, 1
Factor -5*k**3 - 5*k**2 + 25*k - 15.
-5*(k - 1)**2*(k + 3)
Factor -5*i**3/3 - 20*i**2/3 - 5*i.
-5*i*(i + 1)*(i + 3)/3
Determine j, given that -j**4/6 + 5*j**3/3 - 4*j**2 - 5*j/3 + 25/6 = 0.
-1, 1, 5
Let -58*m**2 + 2*m/7 = 0. What is m?
0, 1/203
Let 2*d**2 + 36*d + 162 = 0. What is d?
-9
Factor 2*i**2/3 + 172*i/3 + 3698/3.
2*(i + 43)**2/3
Factor -2*s**3/7 - 12*s**2/7 + 26*s/7 + 12.
-2*(s - 3)*(s + 2)*(s + 7)/7
Let -2*g**2/5 - 112*g/5 = 0. What is g?
-56, 0
Factor s**3/3 + 79*s**2/3 + 533*s + 507.
(s + 1)*(s + 39)**2/3
Suppose -p**4 + 11*p**3 - 22*p**2 - 60*p + 72 = 0. What is p?
-2, 1, 6
Determine k so that k**3/4 - 17*k**2/4 + 25*k/2 + 44 = 0.
-2, 8, 11
Factor -2*r**3/5 + 26*r**2/5.
-2*r**2*(r - 13)/5
What is h in 14*h**5/5 + 78*h**4/5 + 132*h**3/5 + 68*h**2/5 - 18*h/5 - 18/5 = 0?
-3, -1, 3/7
Find o, given that o**5/8 + 931*o**4/8 + 219007*o**3/8 + 1079257*o**2/8 + 214832*o + 214369/2 = 0.
-463, -2, -1
Let -3*h**2 + 360*h + 363 = 0. What is h?
-1, 121
Let 2*b**4 + 174*b**3 - 2*b**2 - 174*b = 0. What is b?
-87, -1, 0, 1
Suppose m**4/8 - 29*m**3/8 + 8