 47*q**4/5 + 17*q**3/5 - 123*q**2/5 - 64*q/5 + 4 = 0.
-1, 2/9, 2, 5
Let -627*z**2 + 1884*z - 9 = 0. Calculate z.
1/209, 3
Suppose 3*m**2 - 3*m - 816 = 0. What is m?
-16, 17
Suppose 4*a**5 + 88*a**4 - 4*a**3 - 88*a**2 = 0. What is a?
-22, -1, 0, 1
Suppose -4*s**5/3 + 24*s**4 - 452*s**3/3 + 368*s**2 - 240*s = 0. Calculate s.
0, 1, 5, 6
What is a in -a**3/3 + 13*a**2 + 124*a/3 + 28 = 0?
-2, -1, 42
Factor 5*a**3 - 45*a.
5*a*(a - 3)*(a + 3)
Factor -5*i**2 - 375*i + 2000.
-5*(i - 5)*(i + 80)
Factor 4*p**4/3 - 284*p**3/3 + 1632*p**2 + 1728*p.
4*p*(p - 36)**2*(p + 1)/3
Determine b, given that 4*b**4/7 - 152*b**3/7 + 1824*b**2/7 - 1024*b + 8192/7 = 0.
2, 4, 16
Suppose 12*y**3 - 88*y**2 + 128*y + 128 = 0. Calculate y.
-2/3, 4
Factor -r**2/3 + 596*r/3.
-r*(r - 596)/3
Factor 2*g**2 - 148*g.
2*g*(g - 74)
Factor -4*w**2 - 4680*w - 1368900.
-4*(w + 585)**2
Factor 2*q**4/7 - 24*q**2/7 - 32*q/7.
2*q*(q - 4)*(q + 2)**2/7
Suppose -a**4/2 + 23*a**3/4 - 29*a**2/2 - 35*a/4 = 0. Calculate a.
-1/2, 0, 5, 7
Let 12*p**5 - 32*p**4 - 48*p**3 + 120*p**2 - 28*p - 24 = 0. What is p?
-2, -1/3, 1, 3
Solve 5*x**2/2 + 795*x/2 - 1630 = 0.
-163, 4
Factor -2*r**2 + 122*r + 520.
-2*(r - 65)*(r + 4)
Suppose -4*u**5 + 20*u**4 + 84*u**3 + 92*u**2 + 32*u = 0. What is u?
-1, 0, 8
Solve 2*i**3 + 84*i**2 + 778*i - 864 = 0.
-27, -16, 1
Factor -p**5 - 85*p**4 - 330*p**3 - 490*p**2 - 325*p - 81.
-(p + 1)**4*(p + 81)
Solve -3*r**4 - 3*r**3 + 6*r**2 = 0 for r.
-2, 0, 1
Factor -10*y**3 + 28*y**2 - 14*y - 4.
-2*(y - 2)*(y - 1)*(5*y + 1)
Factor c**2 - 42*c - 235.
(c - 47)*(c + 5)
Find b, given that 5*b**2 - 1510*b + 1505 = 0.
1, 301
Factor -65*y**3 + 10*y**2 + 585*y - 90.
-5*(y - 3)*(y + 3)*(13*y - 2)
Suppose -2*f**2 - 296*f + 906 = 0. What is f?
-151, 3
Factor 2*o**2 - 26*o - 60.
2*(o - 15)*(o + 2)
Let 5*j**5 - 75*j**4 + 235*j**3 - 145*j**2 - 240*j + 220 = 0. What is j?
-1, 1, 2, 11
Let 3*b**2/4 - 15*b/2 + 27/4 = 0. What is b?
1, 9
Solve -6*b**3 + 153*b**2 + 6*b - 153 = 0.
-1, 1, 51/2
Determine n, given that -2*n**4 - 18*n**3 + 24*n**2 + 40*n = 0.
-10, -1, 0, 2
Suppose 20*w**3 - 878*w**2 + 772*w + 86 = 0. What is w?
-1/10, 1, 43
Factor -s**4/5 + 19*s**2/5 + 6*s.
-s*(s - 5)*(s + 2)*(s + 3)/5
Factor b**5 + 29*b**4 + 163*b**3 - 673*b**2 + 736*b - 256.
(b - 1)**3*(b + 16)**2
Suppose m**3/4 + 27*m**2/2 + 725*m/4 = 0. What is m?
-29, -25, 0
Determine r, given that 2*r**3 + 1289*r**2 + 208012*r + 103684 = 0.
-322, -1/2
Factor -x**2/2 + 81/2.
-(x - 9)*(x + 9)/2
Factor -3*m**3/2 + 93*m**2 + 6123*m/2 + 2967.
-3*(m - 86)*(m + 1)*(m + 23)/2
Suppose 4*x**2 + 80*x + 400 = 0. What is x?
-10
Determine z, given that -3*z**5 - 33*z**4 - 51*z**3 + 33*z**2 + 54*z = 0.
-9, -2, -1, 0, 1
Determine o, given that 324*o**3 - 360*o**2 - 1232*o + 1568 = 0.
-2, 14/9
Suppose 2*z**4/5 + 28*z**3/5 + 58*z**2/5 - 112*z/5 - 264/5 = 0. What is z?
-11, -3, -2, 2
Let 2*t**3/9 + 8*t**2/3 - 512/9 = 0. Calculate t.
-8, 4
Find j such that j**4 - 81*j**3 + 78*j**2 + 160*j = 0.
-1, 0, 2, 80
Factor 4*m**3 - 272*m**2 - 1776*m.
4*m*(m - 74)*(m + 6)
Find g, given that 2*g**3 + 42*g**2 + 142*g + 102 = 0.
-17, -3, -1
Solve 3*k**4 - 63*k**2 - 60*k = 0 for k.
-4, -1, 0, 5
Find v such that -v**3/8 + 19*v**2/8 + v/8 - 19/8 = 0.
-1, 1, 19
Solve 3*p**3 - 96*p**2 - 99*p = 0 for p.
-1, 0, 33
Solve 3*y**5 - 10*y**4 + 12*y**3 - 6*y**2 + y = 0.
0, 1/3, 1
Solve -3*c**3/4 - 21*c**2/2 - 93*c/4 + 189/2 = 0.
-9, -7, 2
Let 10*n**2/3 + 86*n/3 = 0. What is n?
-43/5, 0
Solve -2*q**5 + 24*q**4 - 84*q**3 + 40*q**2 + 150*q = 0 for q.
-1, 0, 3, 5
Let 3*k**3 - 63*k - 60 = 0. Calculate k.
-4, -1, 5
Find t such that -t**3 - 47*t**2 - 134*t - 88 = 0.
-44, -2, -1
Find b, given that -2*b**5 - 66*b**4 - 348*b**3 + 416*b**2 = 0.
-26, -8, 0, 1
Factor 2*a**4/7 - 360*a**3/7 + 1068*a**2/7 - 152*a + 354/7.
2*(a - 177)*(a - 1)**3/7
Find c, given that c**4/4 + c**3/2 - 9*c**2/4 - c/2 + 2 = 0.
-4, -1, 1, 2
Factor -20*l**3 + 3368*l**2 - 142464*l + 56448.
-4*(l - 84)**2*(5*l - 2)
Suppose -2*t**2 - 456*t - 25992 = 0. What is t?
-114
Let -2*v**4/11 - 46*v**3/11 - 118*v**2/11 + 46*v/11 + 120/11 = 0. Calculate v.
-20, -3, -1, 1
Factor -s**4/2 - 4*s**3 + 19*s**2/2 - 5*s.
-s*(s - 1)**2*(s + 10)/2
Factor -39*z**3 - 465*z**2 - 1368*z + 108.
-3*(z + 6)**2*(13*z - 1)
Suppose -15*v**3/4 + 57*v**2/4 + 48*v + 9 = 0. Calculate v.
-2, -1/5, 6
What is d in -2*d**5 - 16*d**4 - 40*d**3 - 20*d**2 + 42*d + 36 = 0?
-3, -2, -1, 1
Let -3*d**4 - 12*d**3 - 12*d**2 = 0. Calculate d.
-2, 0
Factor o**4 - 744*o**3 + 136879*o**2 + 563244*o - 699380.
(o - 374)**2*(o - 1)*(o + 5)
Suppose 2*f**5/7 + 144*f**4/7 + 1710*f**3/7 = 0. What is f?
-57, -15, 0
Factor 4*r**3/5 + 128*r**2/5 + 828*r/5.
4*r*(r + 9)*(r + 23)/5
Solve 3*t**5 + 24*t**4 + 42*t**3 - 60*t**2 - 117*t + 108 = 0.
-4, -3, 1
Solve 27*m**3 - 183*m**2 - 1230*m - 264 = 0.
-4, -2/9, 11
Suppose 3*t**3 + 2109*t**2 + 363165*t - 2646525 = 0. What is t?
-355, 7
Factor 2*a**2/7 + 24*a/7.
2*a*(a + 12)/7
Suppose -2*f**5 - 1183*f**4 - 3525*f**3/2 + 17683*f**2/4 - 10027*f/4 + 885/2 = 0. Calculate f.
-590, -3, 1/2
Solve l**5 + 15*l**4 - 71*l**3 + 93*l**2 - 38*l = 0.
-19, 0, 1, 2
Factor -4*n**5 + 60*n**4 - 192*n**3 + 176*n**2.
-4*n**2*(n - 11)*(n - 2)**2
Factor -196*q**2/5 + 220584*q/5 - 62062884/5.
-4*(7*q - 3939)**2/5
Determine r so that 2*r**4/7 + 58*r**3/7 + 558*r**2/7 + 1782*r/7 = 0.
-11, -9, 0
Let -5*k**5 + 115*k**4 - 810*k**3 + 1700*k**2 - 1000*k = 0. Calculate k.
0, 1, 2, 10
Let -2*p**3/11 - 2*p**2/11 + 4*p/11 = 0. Calculate p.
-2, 0, 1
Suppose w**5 - 8*w**4 + 21*w**3 - 18*w**2 = 0. What is w?
0, 2, 3
Solve 2*f**5 - 14*f**4 + 26*f**3 - 2*f**2 - 28*f + 16 = 0.
-1, 1, 2, 4
Suppose 2*w**5/7 - 4*w**4/7 - 2*w**3/7 + 4*w**2/7 = 0. What is w?
-1, 0, 1, 2
Suppose -3*k**5 + 24*k**4 - 18*k**3 - 24*k**2 + 21*k = 0. What is k?
-1, 0, 1, 7
Factor -6*h**2 + 454*h - 300.
-2*(h - 75)*(3*h - 2)
What is m in 2*m**2 + 10580*m + 13992050 = 0?
-2645
Find m, given that -2*m**2/11 + 114*m/11 - 112/11 = 0.
1, 56
Solve -9*i**5 + 78*i**4 - 198*i**3 + 168*i**2 - 9*i - 30 = 0 for i.
-1/3, 1, 2, 5
Factor 5*o**5 - 35*o**4 + 30*o**3 + 160*o**2 - 160*o.
5*o*(o - 4)**2*(o - 1)*(o + 2)
Determine f so that 4*f**5 - 8*f**4 - 104*f**3 - 224*f**2 - 188*f - 56 = 0.
-2, -1, 7
Suppose -2*i**3/5 + 668*i**2/5 = 0. Calculate i.
0, 334
Let -4*n**3 - 64*n**2 - 220*n = 0. What is n?
-11, -5, 0
Factor m**3/4 + 9*m**2/4 + 15*m/4 + 7/4.
(m + 1)**2*(m + 7)/4
Determine a so that -3*a**4 + 6750*a**3 - 5062500*a**2 + 1265625000*a = 0.
0, 750
Solve -26*r**4 - 56*r**3 + 18*r**2 + 56*r + 8 = 0.
-2, -1, -2/13, 1
Factor 2*h**4/7 + 2*h**3 + 22*h**2/7 + 10*h/7.
2*h*(h + 1)**2*(h + 5)/7
Determine n so that 7*n**3/4 + 109*n**2/2 + 241*n/4 + 15/2 = 0.
-30, -1, -1/7
Let -f**3/5 + 24*f**2/5 + 279*f/5 + 594/5 = 0. Calculate f.
-6, -3, 33
Solve -r**4/8 + r**3/4 + 51*r**2/8 + 27*r/2 = 0.
-4, -3, 0, 9
Factor -k**4 - 216*k**3 - 213*k**2 + 430*k.
-k*(k - 1)*(k + 2)*(k + 215)
Let -3*s**4 + 414*s**3 - 183*s**2 - 972900*s - 16567500 = 0. What is s?
-25, 94
Find p, given that 680*p**4 - 2044*p**3 + 1372*p**2 - 8*p = 0.
0, 1/170, 1, 2
Solve -3*v**2 + 12*v - 9 = 0.
1, 3
Let -14*t**2 - 1200*t + 344 = 0. Calculate t.
-86, 2/7
Determine o, given that -o**5/7 + 2*o**4/7 + 2*o**3/7 - 4*o**2/7 - o/7 + 2/7 = 0.
-1, 1, 2
Factor -93*f**2/7 - 282*f/7 - 9/7.
-3*(f + 3)*(31*f + 1)/7
Factor -867*m**3 - 4539*m**2 - 1032*m - 60.
-3*(m + 5)*(17*m + 2)**2
Factor -l**3/3 - 13*l**2/2 + 31*l/3 - 7/2.
-(l - 1)*(l + 21)*(2*l - 1)/6
Suppose 2*d**3/13 - 42*d/13 + 40/13 = 0. Calculate d.
-5, 1, 4
Solve 4*s**4/3 - 124*s**3/3 + 396*s**2 - 2420*s/3 - 10648/3 = 0.
-2, 11
What is x in -x**3 - 22*x**2 - 96*x + 288 = 0?
-12, 2
Factor -5*w**3 + 215*w**2 - 800*w + 780.
-5*(w - 39)*(w - 2)**2
Factor -7*z**3/3 - 215*z**2/3 - 344*z/3 + 116/3.
-(z + 2)*(z + 29)*(7*z - 2)/3
Factor x**5 + 3*x**4 + 3*x**3 + x**2.
x**2*(x + 1)**3
Factor 5*h**2 + 1950*h + 190125.
5*(h + 195)**2
Let -2*j**2/7 + 7236*j/7 - 6544962/7 = 0. Calculate j.
1809
Suppose -2*g**2 + 224*g + 1170 = 0. Calculate g.
-5, 117
Factor -3*y**2 - 1878*y - 3744.
-3*(y + 2)*(y + 624)
Determine k so that 2*k**5/3 + 2*k**4 - 10*k**3 + 34*k**2/3 - 4*k = 0.
-6, 0, 1
Let 3*g**3/4 - 3*g/4 = 0. Calculate g.
-1, 0, 1
Determine r, given that 4*r**4 + 612*r**3 + 23100*r**2 - 23716*r = 0.
-77, 0, 1
Suppose -3*s**4/4 + 9*s**3 + 33*