7 = 0. Calculate r.
1160
Determine h, given that -4*h**3 + 260*h**2 - 4732*h + 26364 = 0.
13, 39
Factor -2*j**4 + 52*j**3 - 46*j**2 - 100*j.
-2*j*(j - 25)*(j - 2)*(j + 1)
Let 4*p**5/7 + 16*p**4/7 - 96*p**3/7 - 344*p**2/7 - 356*p/7 - 120/7 = 0. What is p?
-6, -1, 5
Factor -4*b**3 + 256*b**2 + 16*b - 1024.
-4*(b - 64)*(b - 2)*(b + 2)
Determine h so that 5*h**2 + 1255*h - 10360 = 0.
-259, 8
Determine a so that -3*a**5/4 + 3*a**4/2 + 9*a**3 - 6*a**2 - 24*a = 0.
-2, 0, 2, 4
Determine b so that -2*b**3/3 - 40*b**2 + 2*b/3 + 40 = 0.
-60, -1, 1
Determine o, given that -2*o**4/11 - 8*o**3/11 + 2*o**2 - 12*o/11 = 0.
-6, 0, 1
Factor 5*m**4 + 50*m**3 - 20*m**2 - 770*m + 735.
5*(m - 3)*(m - 1)*(m + 7)**2
Suppose 10*j**3/3 + 16*j**2/3 - 8*j/3 = 0. Calculate j.
-2, 0, 2/5
Factor 2*a**2/3 - 2*a - 20/3.
2*(a - 5)*(a + 2)/3
Suppose -2*r**5/9 + 134*r**4/9 - 2438*r**3/9 + 6530*r**2/9 - 6272*r/9 + 2048/9 = 0. What is r?
1, 32
Factor -3*k**2/4 + 93*k/4 - 357/2.
-3*(k - 17)*(k - 14)/4
Determine a so that -a**5/3 + 31*a**4 - 700*a**3/3 + 572*a**2 - 1360*a/3 = 0.
0, 2, 4, 85
Suppose -3*i**4/8 + 849*i**3/4 - 236847*i**2/8 - 241965*i/2 - 243675/2 = 0. What is i?
-2, 285
Factor v**4 - 19*v**3 + 123*v**2 - 301*v + 196.
(v - 7)**2*(v - 4)*(v - 1)
Factor 2*b**3/7 - 32*b**2/7 - 2*b/7 + 32/7.
2*(b - 16)*(b - 1)*(b + 1)/7
Find b such that b**3/3 - 19*b**2/3 + 98*b/3 - 80/3 = 0.
1, 8, 10
Suppose 392*v**2/3 + 504*v + 486 = 0. What is v?
-27/14
Factor 2*x**2/3 - 478*x/3 - 160.
2*(x - 240)*(x + 1)/3
Let 2*c**3/3 + 2060*c**2/3 + 686*c = 0. Calculate c.
-1029, -1, 0
Determine p so that p**2 + 59*p - 122 = 0.
-61, 2
Factor 5*r**4 + 220*r**3 + 2990*r**2 + 12540*r + 16245.
5*(r + 3)**2*(r + 19)**2
Suppose 9*w**5/2 - 64*w**4 + 685*w**3/2 - 829*w**2 + 816*w - 144 = 0. What is w?
2/9, 3, 4
Factor -3*z**4/2 + 15*z**3 - 111*z**2/2 + 90*z - 54.
-3*(z - 3)**2*(z - 2)**2/2
Factor d**3/2 + 5*d**2/2 - d/2 - 5/2.
(d - 1)*(d + 1)*(d + 5)/2
Determine v, given that 3*v**3/2 + 12*v**2 = 0.
-8, 0
Let d**4 - 10*d**3 + 28*d**2 - 6*d - 45 = 0. Calculate d.
-1, 3, 5
Factor -49*i**4 + 28*i**3 - 4*i**2.
-i**2*(7*i - 2)**2
Factor -w**3/3 - 7*w**2/3 + 10*w.
-w*(w - 3)*(w + 10)/3
Let 2*n**3/3 - 146*n**2/3 - 298*n/3 - 50 = 0. Calculate n.
-1, 75
Find p, given that -2*p**3/7 + 18*p**2/7 - 48*p/7 + 32/7 = 0.
1, 4
Let 5*d**4/2 - 8*d**3 - 21*d**2/2 = 0. What is d?
-1, 0, 21/5
Let -15*d**5/2 + 25*d**4 + 205*d**3/2 + 100*d**2 + 30*d = 0. What is d?
-1, -2/3, 0, 6
Factor 4*f**2 - 1960*f + 240100.
4*(f - 245)**2
Suppose 2*p**2/21 - 20*p/21 - 22/21 = 0. What is p?
-1, 11
Let 5*a**5 + 120*a**4 + 445*a**3 - 3230*a**2 + 4620*a - 1960 = 0. What is a?
-14, 1, 2
Factor 2*o**5/11 - 10*o**4/11 + 20*o**3/11 - 20*o**2/11 + 10*o/11 - 2/11.
2*(o - 1)**5/11
Factor -2*d**5/5 + 12*d**4/5 - 18*d**3/5 + 8*d**2/5.
-2*d**2*(d - 4)*(d - 1)**2/5
Find r such that -r**4/2 - 7*r**3/2 + 15*r**2 = 0.
-10, 0, 3
Factor 5*q**4 - 125*q**3 + 830*q**2 - 480*q - 1440.
5*(q - 12)**2*(q - 2)*(q + 1)
Suppose 15*j**5/2 + 72*j**4 + 180*j**3 + 96*j**2 - 72*j = 0. What is j?
-6, -2, 0, 2/5
Factor -72*g**3 + 290*g**2 - 296*g + 8.
-2*(g - 2)**2*(36*g - 1)
What is r in -3*r**2 - 1146*r - 109443 = 0?
-191
Suppose h**2/3 + 11*h + 84 = 0. Calculate h.
-21, -12
Let 2*n**2 - 1594*n = 0. What is n?
0, 797
Suppose 2*h**4 - 10*h**3 - 16*h**2 + 96*h = 0. What is h?
-3, 0, 4
Solve 4*c**5 + 16*c**4 - 64*c**2 - 64*c = 0 for c.
-2, 0, 2
Find d, given that -d**3 - 129*d**2 - 5304*d - 70516 = 0.
-61, -34
Factor g**4 + 36*g**3 - 3*g**2 - 110*g - 72.
(g - 2)*(g + 1)**2*(g + 36)
Determine d so that 4*d**2/5 + 184*d/5 + 1332/5 = 0.
-37, -9
Solve 26*i**5 - 1720*i**4 + 238*i**3 + 1720*i**2 - 264*i = 0.
-1, 0, 2/13, 1, 66
Factor 784*j**3 + 11928*j**2 + 60492*j + 715822/7.
2*(14*j + 71)**3/7
Factor 3*d**4 + 6*d**3 - 6*d - 3.
3*(d - 1)*(d + 1)**3
Factor 2*r**4/11 - 144*r**3/11 - 146*r**2/11.
2*r**2*(r - 73)*(r + 1)/11
Factor 4*u**4 + 216*u**3 + 204*u**2 - 424*u.
4*u*(u - 1)*(u + 2)*(u + 53)
Factor -2*k**2/5 - 3636*k/5 + 3638/5.
-2*(k - 1)*(k + 1819)/5
Suppose 4*y**5 - 920*y**4 + 49996*y**3 + 342616*y**2 - 488048*y - 779744 = 0. Calculate y.
-7, -1, 2, 118
Let -5*t**2 - 365*t + 1540 = 0. Calculate t.
-77, 4
Suppose -5*i**5 - 20*i**4 - 30*i**3 - 20*i**2 - 5*i = 0. Calculate i.
-1, 0
Factor -b**5 - b**4 + 2*b**3 + 2*b**2 - b - 1.
-(b - 1)**2*(b + 1)**3
Factor 3*p**3/2 + 591*p**2/2 - 1203*p/2 - 1791/2.
3*(p - 3)*(p + 1)*(p + 199)/2
Find y, given that -5*y**4/3 + 35*y**3/3 + 150*y**2 - 3680*y/3 + 3200/3 = 0.
-10, 1, 8
Factor -4*c**4 + 152*c**3 - 1584*c**2 + 2592*c.
-4*c*(c - 18)**2*(c - 2)
Suppose -q**3/4 + 25*q**2/2 - 293*q/4 - 86 = 0. Calculate q.
-1, 8, 43
Factor -2*h**3/5 + 46*h**2/5 - 318*h/5 + 594/5.
-2*(h - 11)*(h - 9)*(h - 3)/5
Suppose 42*h**3 + 88*h**2 + 50*h + 4 = 0. Calculate h.
-1, -2/21
Determine s so that 4*s**5 + 180*s**4 + 1736*s**3 - 6528*s**2 + 4608*s = 0.
-24, 0, 1, 2
What is w in 2*w**3/7 + 5076*w**2/7 + 4294296*w/7 + 1210991472/7 = 0?
-846
What is u in -u**2 - 944*u - 222784 = 0?
-472
What is p in 2*p**2/7 + 20*p/7 - 48/7 = 0?
-12, 2
Factor -16*o**3 - 708*o**2 + 1296*o + 368.
-4*(o - 2)*(o + 46)*(4*o + 1)
Find r such that -r**5/6 - r**4/2 + r**3/3 + 2*r**2 + 4*r/3 = 0.
-2, -1, 0, 2
Factor -w**3/4 - 27*w**2/4 - 99*w/4 + 567/4.
-(w - 3)*(w + 9)*(w + 21)/4
Solve x**5/2 + x**4 - 17*x**3/2 - 17*x**2 + 8*x + 16 = 0.
-4, -2, -1, 1, 4
Let 2*t**4 + 312*t**3 + 4284*t**2 + 7640*t + 3666 = 0. What is t?
-141, -13, -1
Factor -2*k**2/9 + 34*k/9 + 4.
-2*(k - 18)*(k + 1)/9
Factor -4*a**2 + 740*a + 744.
-4*(a - 186)*(a + 1)
Factor -2*g**4/11 + 800*g**3/11.
-2*g**3*(g - 400)/11
Suppose 49*z**2/4 - 1 = 0. What is z?
-2/7, 2/7
Solve 76*v**3 - 8*v**2 - 76*v + 8 = 0.
-1, 2/19, 1
Find u, given that 2*u**4/3 + 88*u**3/3 - 30*u**2 = 0.
-45, 0, 1
Factor 4*q**3/5 + 62*q**2/15 + 104*q/15 + 56/15.
2*(q + 2)**2*(6*q + 7)/15
Let 5*v**2 - 130*v - 135 = 0. Calculate v.
-1, 27
Factor 4*j**4 + 16*j**3 - 268*j**2 - 280*j.
4*j*(j - 7)*(j + 1)*(j + 10)
Factor 2*a**2/11 - 58*a/11 - 1440/11.
2*(a - 45)*(a + 16)/11
Factor -c**3/8 - 1053*c**2/4 + 4215*c/8 - 527/2.
-(c - 1)**2*(c + 2108)/8
Determine m so that 2*m**2 - 130*m + 2052 = 0.
27, 38
Factor 2*p**4/5 - 6*p**3/5 - 6*p**2 - 34*p/5 - 12/5.
2*(p - 6)*(p + 1)**3/5
Factor 2*u**2 + 1306*u - 2620.
2*(u - 2)*(u + 655)
Let 2*k**5/5 - 8*k**4/5 + 2*k**3 - 4*k**2/5 = 0. Calculate k.
0, 1, 2
Factor k**2/3 + 25*k + 284/3.
(k + 4)*(k + 71)/3
Factor 4*o**3/7 + 232*o**2/7 + 452*o/7 + 32.
4*(o + 1)**2*(o + 56)/7
Factor -30*s**3 - 35*s**2 + 55*s + 10.
-5*(s - 1)*(s + 2)*(6*s + 1)
Solve -2*y**2/5 - 22*y/5 - 48/5 = 0 for y.
-8, -3
What is n in -2*n**5 + 156*n**4/5 - 86*n**3/5 - 12*n**2 = 0?
-2/5, 0, 1, 15
Determine d, given that -2*d**2/13 + 96*d/13 - 270/13 = 0.
3, 45
Find c such that -3*c**4 + 27*c**3 - 54*c**2 - 96*c + 288 = 0.
-2, 3, 4
Suppose 3*j**2 + 27*j + 54 = 0. What is j?
-6, -3
Determine h, given that -4*h**5/5 - 8*h**4/5 + 16*h**3/5 + 32*h**2/5 = 0.
-2, 0, 2
Solve 2*d**5 - 35*d**4 + 32*d**3 + 241*d**2 + 236*d + 64 = 0 for d.
-1, -1/2, 4, 16
Factor 1323*b**3/5 - 7266*b**2/5 + 1824*b + 480.
3*(7*b - 20)**2*(9*b + 2)/5
Let -a**5 + 24*a**4 - 194*a**3 + 564*a**2 - 189*a - 972 = 0. What is a?
-1, 3, 4, 9
Solve 2*b**3 - 362*b**2/3 - 338*b + 126 = 0.
-3, 1/3, 63
Find n, given that -5*n**2 + 80*n + 85 = 0.
-1, 17
Factor -44*u**2/5 + 844*u + 384/5.
-4*(u - 96)*(11*u + 1)/5
Factor 4*v**5 + 24*v**4 + 44*v**3 + 8*v**2 - 48*v - 32.
4*(v - 1)*(v + 1)*(v + 2)**3
Let -2*n**3/5 + 124*n**2 - 9610*n = 0. Calculate n.
0, 155
Determine d, given that 3*d**4/5 + 33*d**3/5 - 9*d**2/5 - 93*d/5 + 66/5 = 0.
-11, -2, 1
Factor 3*x**2 + 81*x + 78.
3*(x + 1)*(x + 26)
Determine p so that 3*p**5/4 + 3*p**4 - 9*p**3/4 - 21*p**2/2 - 6*p = 0.
-4, -1, 0, 2
Find h such that -3*h**2/4 - 63*h/4 + 69/2 = 0.
-23, 2
Factor 5*j**4 - 75*j**3 - 5*j**2 + 75*j.
5*j*(j - 15)*(j - 1)*(j + 1)
Let 2*b**4/9 + 280*b**3/9 + 3448*b**2/3 + 38080*b/9 + 36992/9 = 0. Calculate b.
-68, -2
Factor 4*a**4 - 220*a**3 + 1032*a**2 - 1616*a + 800.
4*(a - 50)*(a - 2)**2*(a - 1)
Suppose x**3/3 + 2*x**2/3 - 5*x - 12 = 0. Calculate x.
-3, 4
Factor b**3/8 - 5*b**2/4 + 23*b/8 - 7/4.
(b - 7)*(b - 2)*(b - 1)/8
Factor -2*i**3/3 - 4*i**2/3 + 40*i/3 - 16.
-2*(i - 2)**2*(i + 6)/3
Factor r**2 - 3*r - 10.
(r - 5)*(r + 2)
Factor -u**3/7 + 93