212*b - 1209.
-3*(b + 1)*(b + 403)
Let 4*q**3 + 328*q**2 - 1364*q + 1032 = 0. What is q?
-86, 1, 3
Find z such that z**4 - 8*z**3 + 15*z**2 = 0.
0, 3, 5
Solve 2*u**2/3 + 52*u/3 - 18 = 0 for u.
-27, 1
Let q**3/7 - 14*q**2 + 2585*q/7 - 8836/7 = 0. Calculate q.
4, 47
Factor 7*z**4/2 - 15*z**3 - 27*z**2/2 + 5*z.
z*(z - 5)*(z + 1)*(7*z - 2)/2
Determine b, given that -9*b**4/2 - 3*b**3/2 + 117*b**2/2 - 69*b/2 - 18 = 0.
-4, -1/3, 1, 3
Solve o**5/3 + 2*o**4 + 4*o**3/3 - 2*o**2 - 5*o/3 = 0 for o.
-5, -1, 0, 1
Let -2*n**4 + 2*n**3 + 4*n**2 = 0. Calculate n.
-1, 0, 2
Find t, given that -t**3/7 + 5*t**2/7 + 6*t/7 = 0.
-1, 0, 6
Solve -s**2 - 10*s + 11 = 0 for s.
-11, 1
Determine i, given that -i**5 + 8*i**4 - 7*i**3 = 0.
0, 1, 7
Solve -9*x**3 - 105*x**2 + 42*x + 72 = 0 for x.
-12, -2/3, 1
Suppose d**3/6 - 13*d**2/6 + 16*d/3 - 10/3 = 0. What is d?
1, 2, 10
Solve 3*d**2 - 162*d + 2187 = 0 for d.
27
Find q, given that 2*q**2 + 518*q - 1044 = 0.
-261, 2
Find q, given that -3*q**5/2 - 597*q**4/2 - 22461*q**3 - 783915*q**2 - 24838275*q/2 - 144247125/2 = 0.
-55, -17
Determine r, given that 5*r**2 - 235*r + 230 = 0.
1, 46
Find c such that -c**2/6 - 23*c/6 + 18 = 0.
-27, 4
Factor 2*s**3 - 12*s**2 + 24*s - 16.
2*(s - 2)**3
Factor r**2/7 - 2*r/7 - 3/7.
(r - 3)*(r + 1)/7
What is p in 4*p**5 - 184*p**4 + 2692*p**3 - 10432*p**2 - 29696*p - 16384 = 0?
-1, 16
Factor 500*d**4 + 81100*d**3 + 96840*d**2 + 38672*d + 5152.
4*(d + 161)*(5*d + 2)**3
Let -k**5/4 - 7*k**4/4 - 11*k**3/4 + 19*k**2/4 + 15*k + 9 = 0. What is k?
-3, -2, -1, 2
Factor 28*l**5 + 148*l**4 + 292*l**3 + 268*l**2 + 112*l + 16.
4*(l + 1)**3*(l + 2)*(7*l + 2)
What is g in -g**3 - 47*g**2 - 431*g - 385 = 0?
-35, -11, -1
Factor -n**3/3 + 101*n**2/3 + n/3 - 101/3.
-(n - 101)*(n - 1)*(n + 1)/3
Solve -3*r**5 - 201*r**4 - 1461*r**3 - 2631*r**2 + 1464*r + 2832 = 0 for r.
-59, -4, -1, 1
Factor 2*m**4/17 + 4*m**3/17 + 2*m**2/17.
2*m**2*(m + 1)**2/17
Solve s**5/2 + 31*s**4/4 + 91*s**3/4 + 43*s**2/2 + 6*s = 0 for s.
-12, -2, -1, -1/2, 0
Solve -6*o**5 + 25*o**4 - 22*o**3 + 3*o**2 = 0 for o.
0, 1/6, 1, 3
Factor 20*a**4 - 308*a**3 + 400*a**2 - 112*a.
4*a*(a - 14)*(a - 1)*(5*a - 2)
Find u such that 4*u**3/3 - 368*u**2/3 - 3604*u/3 - 3232/3 = 0.
-8, -1, 101
Find b such that -13*b**2/2 + 480*b = 0.
0, 960/13
Let -4*f**3 + 356*f**2 + 2244*f + 3420 = 0. Calculate f.
-3, 95
What is z in 28*z**4 - 244*z**3 - 352*z**2 - 80*z = 0?
-1, -2/7, 0, 10
Find f, given that 5*f**3 - 105*f**2 - 20*f + 420 = 0.
-2, 2, 21
Find h, given that 298*h**3/5 + 588*h**2/5 - 182*h + 24/5 = 0.
-3, 4/149, 1
What is t in -t**5/6 - 4*t**4/3 - 25*t**3/6 - 19*t**2/3 - 14*t/3 - 4/3 = 0?
-2, -1
Suppose -3*r**3/5 - 1572*r**2/5 - 205932*r/5 = 0. Calculate r.
-262, 0
Let 10*w**4/3 - 44*w**3/3 - 8*w**2 + 176*w/3 - 64/3 = 0. Calculate w.
-2, 2/5, 2, 4
Let -2*v**4/25 - 8*v**3/25 + 54*v**2/25 + 28*v/5 - 16 = 0. Calculate v.
-5, 2, 4
Factor -2*l**3 + 6*l**2 + 72*l + 64.
-2*(l - 8)*(l + 1)*(l + 4)
What is a in -39*a**2/4 - 153*a/2 + 12 = 0?
-8, 2/13
Factor -2*z**3/5 - 52*z**2/5 - 142*z/5 - 92/5.
-2*(z + 1)*(z + 2)*(z + 23)/5
Solve -2*h**5/9 + 122*h**4/9 + 1124*h**3/9 - 1364*h**2/9 - 374*h/3 + 138 = 0 for h.
-9, -1, 1, 69
Find w such that w**5 - 11*w**4 + 5*w**3 + 107*w**2 + 90*w = 0.
-2, -1, 0, 5, 9
Find t, given that 5*t**3/2 - 15*t/2 - 5 = 0.
-1, 2
Suppose a**3/3 + 46*a**2/3 - a/3 - 46/3 = 0. Calculate a.
-46, -1, 1
Factor -25*p**2/4 + 165*p/2 - 1089/4.
-(5*p - 33)**2/4
Solve -3*l**5 - 117*l**4 - 402*l**3 + 642*l**2 + 405*l - 525 = 0 for l.
-35, -5, -1, 1
Determine y, given that 4*y**5 - 20*y**4 - 200*y**3 + 360*y**2 + 3780*y + 5292 = 0.
-3, 7
Factor -p**3/2 - 2*p**2 + 8*p + 32.
-(p - 4)*(p + 4)**2/2
Factor 4*l**2 + 44*l - 48.
4*(l - 1)*(l + 12)
Suppose 14*h**5/9 + 172*h**4/9 + 16*h**3/3 = 0. Calculate h.
-12, -2/7, 0
Factor v**2/4 - 10*v.
v*(v - 40)/4
Factor d**5/6 + 2*d**4/3 - d**3/6 - 2*d**2/3.
d**2*(d - 1)*(d + 1)*(d + 4)/6
Determine f, given that 4*f**2 + 9888*f + 6110784 = 0.
-1236
Suppose -45*x**5/4 - 20*x**4 - 25*x**3/4 + 5*x**2/2 = 0. What is x?
-1, 0, 2/9
Suppose -5*u**2 - 155*u + 330 = 0. What is u?
-33, 2
Solve 3*m**4/4 - 39*m**3/2 + 627*m**2/4 - 363*m = 0.
0, 4, 11
Factor z**2 + 19*z + 84.
(z + 7)*(z + 12)
Factor -3*l**2 - 408*l + 828.
-3*(l - 2)*(l + 138)
Determine j so that -j**2/6 + 326*j - 159414 = 0.
978
Factor 4*p**4 + 32*p**3 - 12*p**2 - 104*p - 64.
4*(p - 2)*(p + 1)**2*(p + 8)
Factor 3*p**3 - 24*p**2.
3*p**2*(p - 8)
Factor 3*s**4/4 + 9*s**3/4 + 9*s**2/4 + 3*s/4.
3*s*(s + 1)**3/4
Factor n**3/6 + 37*n**2/6 + 37*n + 60.
(n + 3)*(n + 4)*(n + 30)/6
Let 20*f**3/7 - 4268*f**2/7 - 4288*f/7 = 0. What is f?
-1, 0, 1072/5
Factor -2*x**3/19 - 36*x**2/19 - 192*x/19 - 256/19.
-2*(x + 2)*(x + 8)**2/19
Let 3*f**2 - 123*f = 0. Calculate f.
0, 41
Find o such that 4*o**2 + 56*o + 96 = 0.
-12, -2
Factor -4*s**2/3 - 1988*s/3 - 1984/3.
-4*(s + 1)*(s + 496)/3
Factor -u**3/4 + 77*u**2/4 - 380*u + 361.
-(u - 38)**2*(u - 1)/4
Suppose -12*a**2 + 69*a + 18 = 0. What is a?
-1/4, 6
Suppose 15*w**4 + 50*w**3 + 5*w**2/3 - 140*w/3 - 20 = 0. What is w?
-3, -2/3, 1
Determine d, given that -4*d**5 + 24*d**4 + 180*d**3 - 808*d**2 - 960*d = 0.
-6, -1, 0, 5, 8
Factor -b**5/6 - 40*b**4/3 + 83*b**3/2.
-b**3*(b - 3)*(b + 83)/6
Determine q, given that -4*q**3 - 1752*q**2 - 3488*q = 0.
-436, -2, 0
What is s in s**5/4 + 3*s**4 - 7*s**3 = 0?
-14, 0, 2
Factor -4*u**3 + 68*u**2 - 56*u - 128.
-4*(u - 16)*(u - 2)*(u + 1)
Solve -4*w**4/7 + 16*w**3/7 + 4*w**2/7 - 16*w/7 = 0.
-1, 0, 1, 4
Determine o, given that 4*o**3 + 450*o**2 + 662*o - 444 = 0.
-111, -2, 1/2
Factor -r**3/10 - r**2/5 + r/10 + 1/5.
-(r - 1)*(r + 1)*(r + 2)/10
Factor 5*g**3/4 - 5*g**2/4 - 5*g/4 + 5/4.
5*(g - 1)**2*(g + 1)/4
What is a in -3*a**3/8 + 231*a**2/8 + 120*a + 243/2 = 0?
-2, 81
Factor 98*k**4 + 840*k**3 - 426*k**2 - 440*k - 72.
2*(k - 1)*(k + 9)*(7*k + 2)**2
Determine d, given that -d**2/10 - 4*d/5 + 33/10 = 0.
-11, 3
Let 5*a**3 + 800*a**2 - 2465*a - 3260 = 0. Calculate a.
-163, -1, 4
Factor 3*a**2/8 - 51*a/4 - 105/8.
3*(a - 35)*(a + 1)/8
Determine l so that -2*l**5/5 - 156*l**4/5 - 454*l**3/5 - 60*l**2 = 0.
-75, -2, -1, 0
Suppose 4*a**4 + 112*a**3 - 12*a**2 - 328*a + 224 = 0. What is a?
-28, -2, 1
Factor -20449*d**2 - 10296*d - 1296.
-(143*d + 36)**2
Factor o**3/4 + o**2/2.
o**2*(o + 2)/4
Determine y so that 2*y**5/7 + 164*y**4/7 + 4370*y**3/7 + 4952*y**2 - 11872*y + 6272 = 0.
-28, 1
Determine i, given that -10*i**5 - 134*i**4 + 138*i**3 + 806*i**2 + 712*i + 168 = 0.
-14, -1, -2/5, 3
Determine g so that 5*g**5 - 40*g**4 - 10*g**3 + 360*g**2 - 315*g = 0.
-3, 0, 1, 3, 7
What is b in 2*b**4/17 - 230*b**3/17 - 232*b**2/17 = 0?
-1, 0, 116
What is t in -2*t**3 - 14*t**2 + 34*t - 18 = 0?
-9, 1
Factor -v**2/8 - v/8 + 1/4.
-(v - 1)*(v + 2)/8
Suppose 4*u**2 + 776*u + 772 = 0. What is u?
-193, -1
What is v in -4*v**3 + 100*v**2 + 10948*v + 150236 = 0?
-23, 71
Suppose 5*r**4 + 110*r**3 + 485*r**2 - 1320*r + 720 = 0. What is r?
-12, 1
Let -4*q**5 - 12*q**4 + 24*q**3 + 40*q**2 - 84*q + 36 = 0. Calculate q.
-3, 1
Factor -4*a**3 - 2212*a**2 - 309100*a - 907500.
-4*(a + 3)*(a + 275)**2
Solve 3*m**4/2 + 45*m**3/2 - 63*m**2/2 - 249*m/2 - 72 = 0.
-16, -1, 3
Factor 6*u**4 + 5*u**3 - 7*u**2 - 5*u + 1.
(u - 1)*(u + 1)**2*(6*u - 1)
Find q, given that 38*q**2/11 - 7178*q/11 - 756/11 = 0.
-2/19, 189
Find p, given that 2*p**2 + 128*p - 130 = 0.
-65, 1
Find u, given that 4*u**2/3 - 16*u/3 = 0.
0, 4
What is m in -3*m**5 + 76*m**4 + 304*m**3 + 426*m**2 + 259*m + 58 = 0?
-1, -2/3, 29
Determine j so that -4*j**3 + 116*j**2 + 160*j - 17600 = 0.
-11, 20
What is k in 3*k**5 - 71*k**4 + 219*k**3 + 39*k**2 - 374*k - 120 = 0?
-1, -1/3, 2, 3, 20
Determine x, given that -3*x**4 - 27*x**3 + 33*x**2 + 27*x - 30 = 0.
-10, -1, 1
Factor -2*k**2/15 - 76*k/15 + 32/3.
-2*(k - 2)*(k + 40)/15
Let -8*s**5/5 + 62*s**4/5 - 128*s**3/5 + 92*s**2/5 - 8*s/5 - 2 = 0. Calculate s.
-1/4, 1, 5
Determine x, given that 2*x**4/5 - 3*x**3/5 - 2*x**2/5 = 0.
-1/2, 0, 2
Suppose 2*g**3 - 2060*g**2 + 532504*g - 1056784 = 0. Calculate g.
2, 514
Factor -4*c**3 - 112*c**2 + 272*c + 960.
-4*(c - 4)*(c + 2)*(c + 30)
Factor -3*l**4/5 + 9*l**3/5 + 18*l**2/5 - 84*l/5 + 72/5.
-3*(l - 2)**3*(l + 3)/5
Let 2*h**3/7 - 34*h**2/7 - 36*h/7 = 0. Calculate h.
-1, 0, 18
Factor -2*v**2/9 + 32*v/9.
-2*v*(v -