88*k + 204.
-4*(k + 1)*(4*k - 51)
Let -15*w**4 - 48*w**3 - 9*w**2 + 60*w + 12 = 0. What is w?
-2, -1/5, 1
What is j in 4*j**2 + 10000*j + 6250000 = 0?
-1250
Factor -3*a**3 + 42*a**2 - 165*a + 126.
-3*(a - 7)*(a - 6)*(a - 1)
Factor -2*p**4/7 - 498*p**3/7 + 1002*p**2/7 - 502*p/7.
-2*p*(p - 1)**2*(p + 251)/7
Let -4*w**2 + 154*w + 78 = 0. Calculate w.
-1/2, 39
Suppose 2*a**3/9 + 136*a**2/9 - 422*a/9 + 284/9 = 0. Calculate a.
-71, 1, 2
Let t**3 + 5*t**2 - 1678*t + 1672 = 0. Calculate t.
-44, 1, 38
Determine b so that b**5 - 28*b**4 + 78*b**3 - 76*b**2 + 25*b = 0.
0, 1, 25
Suppose -5*h**2 + 49080*h - 120442320 = 0. Calculate h.
4908
Factor -2*i**2/9 + 500*i/9 - 31250/9.
-2*(i - 125)**2/9
Find t, given that 4*t**3 + 28*t**2 + 64*t + 48 = 0.
-3, -2
Factor -25*u**5 - 35*u**4 + 45*u**3 + 95*u**2 + 40*u.
-5*u*(u + 1)**3*(5*u - 8)
Factor 30*l**3/11 - 2*l**2/11.
2*l**2*(15*l - 1)/11
Factor 4*u**5 + 28*u**4 - 72*u**3 + 8*u**2 + 68*u - 36.
4*(u - 1)**3*(u + 1)*(u + 9)
Solve -3*t**4/2 - 75*t**3/2 + 81*t**2 = 0 for t.
-27, 0, 2
Factor -2*z**3 + 2886*z**2 - 1039680*z - 1042568.
-2*(z - 722)**2*(z + 1)
Solve -3*f**5/7 - 9*f**4/7 + 3*f**3/7 + 33*f**2/7 + 36*f/7 + 12/7 = 0 for f.
-2, -1, 2
Factor 5*k**4 + 1020*k**3 - 1025*k**2.
5*k**2*(k - 1)*(k + 205)
Solve -3*s**4 + 12*s**3 + 27*s**2 - 48*s - 60 = 0 for s.
-2, -1, 2, 5
Find a, given that a**4 + 77*a**3 + 1950*a**2 + 15548*a - 17576 = 0.
-26, 1
Let 4*r**5 - 96*r**4 + 676*r**3 - 1416*r**2 + 832*r = 0. What is r?
0, 1, 2, 8, 13
Determine v, given that v**4/3 + 13*v**3/3 + 29*v**2/3 - 13*v/3 - 10 = 0.
-10, -3, -1, 1
Find t, given that 14*t**2 + 34*t - 24 = 0.
-3, 4/7
Let -3*m**4 + 22*m**3 + 244*m**2 + 488*m + 224 = 0. What is m?
-4, -2, -2/3, 14
Find o such that 2*o**2/23 - 182*o/23 + 2736/23 = 0.
19, 72
Suppose 23*o**4 - 95*o**3 - 241*o**2 - 105*o + 18 = 0. Calculate o.
-1, 3/23, 6
Factor 3*c**3 + 543*c**2 - 3366*c.
3*c*(c - 6)*(c + 187)
Factor q**3/2 + 13*q**2/2 + 22*q + 16.
(q + 1)*(q + 4)*(q + 8)/2
Suppose -a**2 - 1132*a - 320356 = 0. What is a?
-566
Factor 16*u**4 + 12*u**3 - 48*u**2 - 68*u - 24.
4*(u - 2)*(u + 1)**2*(4*u + 3)
Determine a so that -6*a**4 + 69*a**3/2 - 51*a**2 + 45*a/2 = 0.
0, 1, 15/4
Factor -2*d**4/5 + 204*d**3/5 - 4082*d**2/5 - 11424*d - 31360.
-2*(d - 56)**2*(d + 5)**2/5
Factor -x**3/4 + 6*x**2 + 445*x/4 - 117.
-(x - 36)*(x - 1)*(x + 13)/4
Factor -2*n**2/3 - 98*n/3 + 3124/3.
-2*(n - 22)*(n + 71)/3
Factor w**4 + 5*w**3 + 3*w**2 - 5*w - 4.
(w - 1)*(w + 1)**2*(w + 4)
What is f in 2*f**2 - 126*f - 536 = 0?
-4, 67
Factor s**4/6 + s**3/6 - 13*s**2/6 - 25*s/6 - 2.
(s - 4)*(s + 1)**2*(s + 3)/6
Let -288*a**3/7 + 33360*a**2/7 + 5566*a/7 + 232/7 = 0. What is a?
-1/12, 116
Suppose 4*l**5/9 - 484*l**4/9 - 5188*l**3/9 - 7052*l**2/9 + 10528*l/3 - 2096 = 0. Calculate l.
-6, 1, 131
Factor 4*k**2 - 536*k - 1088.
4*(k - 136)*(k + 2)
Find h such that -75*h**5 - 315*h**4 - 237*h**3 + 135*h**2 + 96*h - 36 = 0.
-3, -1, 2/5
Factor 27*d**2/4 + 273*d/2 + 30.
3*(d + 20)*(9*d + 2)/4
Find z, given that 56*z**2/3 - 764*z/3 - 280/3 = 0.
-5/14, 14
Factor 2*h**2/5 - 18*h/5.
2*h*(h - 9)/5
Factor 4*r**3 + 44*r**2 + 140*r + 100.
4*(r + 1)*(r + 5)**2
Factor p**2/8 + 241*p/8 + 30.
(p + 1)*(p + 240)/8
Factor -5*o**2 + 150*o - 1105.
-5*(o - 17)*(o - 13)
Factor 2*o**3/5 + 74*o**2 + 17296*o/5 + 16928/5.
2*(o + 1)*(o + 92)**2/5
Factor -2*o**4/13 + 10*o**3/13 - 14*o**2/13 + 6*o/13.
-2*o*(o - 3)*(o - 1)**2/13
Factor n**4/3 - 4*n**3/3.
n**3*(n - 4)/3
Factor 4*y**2/3 + 44*y/3 + 24.
4*(y + 2)*(y + 9)/3
Determine w so that 8*w**4 + 20*w**3 = 0.
-5/2, 0
Find r, given that 3*r**3/2 - 51*r**2/2 + 66*r - 42 = 0.
1, 2, 14
Factor 21*y**3/5 - 27*y**2/5 - 21*y/5 + 27/5.
3*(y - 1)*(y + 1)*(7*y - 9)/5
Find w, given that w**5/2 + w**4/2 - 2*w**3 - 2*w**2 = 0.
-2, -1, 0, 2
Suppose 3*a**5/5 - 9*a**4/5 - 18*a**3/5 + 24*a**2/5 = 0. What is a?
-2, 0, 1, 4
Solve 2*c**3/5 - 187*c**2/10 + 137*c/10 + 23/5 = 0 for c.
-1/4, 1, 46
Let -t**4/3 - 113*t**3 + 341*t**2 - 1025*t/3 + 114 = 0. What is t?
-342, 1
Factor -2*g**2/9 - 7576*g/9 - 7174472/9.
-2*(g + 1894)**2/9
What is p in -4*p**4 + 48*p**3 - 84*p**2 + 40*p = 0?
0, 1, 10
Factor -3*r**2 - 48*r + 108.
-3*(r - 2)*(r + 18)
Determine a so that a**4/4 - 7*a**2/4 + 3*a/2 = 0.
-3, 0, 1, 2
Suppose 6*w**4 - 10370*w**3 + 4472054*w**2 + 7475330*w + 2992900 = 0. Calculate w.
-1, -2/3, 865
Determine x so that -4*x**2 + 3936*x - 968256 = 0.
492
Factor -1159929*b**2 - 2154*b - 1.
-(1077*b + 1)**2
Find v such that -4*v**5/9 - 20*v**4/9 + 12*v**3 + 68*v**2/9 - 248*v/9 - 64/3 = 0.
-8, -1, 2, 3
Factor 33*z**4 - 228*z**3 - 285*z**2 - 24*z.
3*z*(z - 8)*(z + 1)*(11*z + 1)
Let c**4/7 - 25*c**3/7 - 27*c**2/7 + 25*c/7 + 26/7 = 0. Calculate c.
-1, 1, 26
Factor -2*l**2/11 - 32*l/11 - 30/11.
-2*(l + 1)*(l + 15)/11
Factor -2*q**2/5 - 174*q/5 - 172/5.
-2*(q + 1)*(q + 86)/5
Let -2*u**5/5 + 6*u**4/5 + 94*u**3/5 - 294*u**2/5 + 196*u/5 = 0. Calculate u.
-7, 0, 1, 2, 7
Solve 2*o**2/17 - 4748*o/17 + 2817938/17 = 0 for o.
1187
Factor 4*r**2 + 16*r + 16.
4*(r + 2)**2
Solve -10*q**5/3 - 145*q**4/3 + 195*q**3 - 785*q**2/3 + 445*q/3 - 30 = 0 for q.
-18, 1/2, 1
Solve -40*r**5 + 12*r**4 + 484*r**3 - 784*r**2 + 144*r + 64 = 0 for r.
-4, -1/5, 1/2, 2
Factor k**4/5 - 4*k**3/5 + 4*k**2/5.
k**2*(k - 2)**2/5
Factor 10*h**3 - 39*h**2 - 4*h.
h*(h - 4)*(10*h + 1)
Determine y so that -3*y**4/5 - 51*y**3/5 - 9*y**2 + 51*y/5 + 48/5 = 0.
-16, -1, 1
Factor 4*h**2 + 30496*h + 58125376.
4*(h + 3812)**2
Factor 3*c**2 + 7794*c + 5062203.
3*(c + 1299)**2
Factor -5*m**4 + 400*m**3 - 4160*m**2 - 153600*m - 737280.
-5*(m - 48)**2*(m + 8)**2
Factor i**5 + 29*i**4 + 234*i**3 - 486*i**2 - 13851*i - 45927.
(i - 7)*(i + 9)**4
Suppose 2*u**3/3 + 4*u**2 + 22*u/3 + 4 = 0. What is u?
-3, -2, -1
Factor 5*y**3 - 355*y**2 + 2930*y + 7320.
5*(y - 61)*(y - 12)*(y + 2)
Factor -4*a**2/7 + 12*a - 80/7.
-4*(a - 20)*(a - 1)/7
Solve 2*s**5/13 - 10*s**4/13 - 6*s**3/13 + 82*s**2/13 - 116*s/13 + 48/13 = 0.
-3, 1, 2, 4
Suppose -2*i**4/15 - 4*i**3 - 40*i**2 - 400*i/3 = 0. Calculate i.
-10, 0
Factor 2*s**3 + 38*s**2 + 160*s - 200.
2*(s - 1)*(s + 10)**2
Factor -3*z**4/5 + 9*z**2/5 + 6*z/5.
-3*z*(z - 2)*(z + 1)**2/5
Factor 121*u**2/4 + 9053*u + 677329.
(11*u + 1646)**2/4
Determine p so that 15*p**4/2 - 76*p**3 + 10*p**2 = 0.
0, 2/15, 10
Factor -2*t**3/3 - 47*t**2/2 + 109*t/6 + 6.
-(t - 1)*(t + 36)*(4*t + 1)/6
Determine y so that 4*y**5/5 - 164*y**4/5 + 352*y**3 - 320*y**2 = 0.
0, 1, 20
Factor 3*p**2 - 51*p.
3*p*(p - 17)
Suppose -8*v**3 + 14*v**2 + 10*v - 12 = 0. What is v?
-1, 3/4, 2
Find j such that -2*j**2/9 + 6148*j/9 - 4724738/9 = 0.
1537
What is r in -r**2/5 - 11*r = 0?
-55, 0
Factor -p**2/5 + 526*p/5 + 527/5.
-(p - 527)*(p + 1)/5
Factor 3*k**4/2 + 159*k**3/2 - 2667*k**2/2 + 9849*k/2.
3*k*(k - 7)**2*(k + 67)/2
Let -l**4/6 + 79*l**3/3 - 5917*l**2/6 - 4266*l - 4374 = 0. Calculate l.
-2, 81
Determine n so that -n**3/5 + 652*n**2/5 - 21385*n + 42250 = 0.
2, 325
Let 338*k**2 + 160992*k + 19170432 = 0. What is k?
-3096/13
Factor -3654*g**3 - 2060*g**2 - 1976*g/7 + 16/7.
-2*(7*g + 2)**2*(261*g - 2)/7
Factor -5*l**3/3 + 30*l**2 - 355*l/3 + 130.
-5*(l - 13)*(l - 3)*(l - 2)/3
Factor k**2/8 - 7*k/4 + 13/8.
(k - 13)*(k - 1)/8
Solve 6*f**5 + 2*f**4 - 28*f**3/3 - 4*f**2/3 + 10*f/3 - 2/3 = 0 for f.
-1, 1/3, 1
Let -1335*r**2 + 9355*r - 70 = 0. What is r?
2/267, 7
Determine t, given that -3*t**4/2 + 633*t**3 - 137307*t**2/2 + 394992*t - 584064 = 0.
3, 208
Determine f so that -f**2/6 + 4*f/3 + 10/3 = 0.
-2, 10
Solve -z**4/3 + 94*z**3/3 + 337*z**2 - 151340*z/3 - 2592100/3 = 0.
-23, 70
Factor -j**2/7 + 516*j/7 + 148.
-(j - 518)*(j + 2)/7
Factor -2*g**2/7 + 4852*g/7 - 2942738/7.
-2*(g - 1213)**2/7
Factor -2*c**2/23 - 82*c/23 - 816/23.
-2*(c + 17)*(c + 24)/23
Solve -12*t**4/5 - 308*t**3/5 + 104*t**2/5 = 0 for t.
-26, 0, 1/3
Factor 2*a**4/15 - 616*a**3/15 + 21012*a**2/5 - 424360*a/3 - 2185454/15.
2*(a - 103)**3*(a + 1)/15
Suppose y**5/2 - y**4 - y**3 + 2*y**2 + y/2 - 1 = 0. What is y?
-1, 1, 2
Find h such that 5*h**2 - 42470*h + 90185045 = 0.
4247
Find o, given that -26*o**3 + 256*o**2 - 194*o - 36 = 0.
-2/13, 1, 9
Solve -578*t**2/3 + 34*t - 3/2 = 0.
3/34
Find j such that -j**4 + 3*j**3 - j**2 - 3*j + 2 = 0.
-1, 1, 2
Factor -38416*m**3 - 116032*m**2 - 2356*m - 12.
-4*(m + 3)*(98*m + 1)**2
Factor 4*n**3 + 136*n**2 -