lve -5*o**2 - 1570*o - 123245 = 0.
-157
Determine t so that t**2/2 + 21*t + 180 = 0.
-30, -12
Suppose -5*w**2/6 + 35*w/2 = 0. Calculate w.
0, 21
Solve 15*h**5 - 65*h**4 - 365*h**3 + 585*h**2 + 110*h - 280 = 0.
-4, -2/3, 1, 7
Determine u so that 3*u**3 - 24570*u**2 + 67076100*u - 61039251000 = 0.
2730
Solve -8*z**3/3 + 170*z**2/3 + 134*z/3 - 44/3 = 0 for z.
-1, 1/4, 22
Suppose f**3/4 - 21*f**2/2 + 155*f/4 - 57/2 = 0. What is f?
1, 3, 38
Determine b so that 2*b**3/3 + 484*b**2/3 + 9920*b + 19200 = 0.
-120, -2
Let 5*r**4 - 50*r**3 + 45*r**2 + 540*r - 540 = 0. What is r?
-3, 1, 6
Determine k, given that 2*k**3 - 1260*k**2 - 8*k + 5040 = 0.
-2, 2, 630
Let -2*d**2/13 + 18*d/13 + 72/13 = 0. Calculate d.
-3, 12
Find i such that i**3 + 220*i**2 - i - 220 = 0.
-220, -1, 1
Suppose 4*w**2 - 864*w - 868 = 0. What is w?
-1, 217
Solve z**2/5 - 6*z/5 + 9/5 = 0 for z.
3
Find a, given that 3*a**3/2 - 23*a**2/4 + 5*a + 1 = 0.
-1/6, 2
Factor 10*m**3 + 34*m**2 - 104*m - 264.
2*(m - 3)*(m + 2)*(5*m + 22)
Solve 2*i**2/15 + 604*i/3 = 0.
-1510, 0
Factor a**2/2 + 51*a + 2601/2.
(a + 51)**2/2
What is g in -2*g**2 + 468*g - 27378 = 0?
117
Factor 2*a**2 - 19248*a + 46310688.
2*(a - 4812)**2
Factor -675*p**2 - 30420*p - 342732.
-3*(15*p + 338)**2
Suppose -3*h**5/4 - 3*h**4/4 + 3*h**3/4 + 3*h**2/4 = 0. Calculate h.
-1, 0, 1
Suppose 2*f**3/5 - 124*f**2/5 - 386*f/5 - 52 = 0. What is f?
-2, -1, 65
Factor -q**2/2 + q + 4.
-(q - 4)*(q + 2)/2
Suppose 3*b**3 - 99*b**2 + 438*b - 504 = 0. Calculate b.
2, 3, 28
Solve -55*k**4 - 450*k**3 - 80*k**2 = 0.
-8, -2/11, 0
Factor 3*c**2 - 501*c + 498.
3*(c - 166)*(c - 1)
Factor -f**3/3 - 23*f**2 - 216*f - 580/3.
-(f + 1)*(f + 10)*(f + 58)/3
Solve -2*z**3/5 + 116*z**2/5 - 442*z + 13872/5 = 0.
17, 24
Suppose 7*z**5/3 - 16*z**4/3 - 17*z**3/3 + 34*z**2/3 + 20*z/3 - 8/3 = 0. Calculate z.
-1, 2/7, 2
Determine h so that 3*h**3 - 249*h**2 + 6885*h - 63423 = 0.
27, 29
Determine i, given that -2*i**3/23 - 264*i**2/23 - 4266*i/23 - 18468/23 = 0.
-114, -9
Factor -6*l**2/7 + 9*l/7.
-3*l*(2*l - 3)/7
Factor -3*k**5/4 + 21*k**4/2 - 45*k**3 + 54*k**2.
-3*k**2*(k - 6)**2*(k - 2)/4
Let 2*j**5/3 + 6*j**4 + 4*j**3 - 32*j**2/3 = 0. Calculate j.
-8, -2, 0, 1
Find j, given that -2*j**4/23 - 2*j**3/23 + 26*j**2/23 + 2*j/23 - 24/23 = 0.
-4, -1, 1, 3
Find z, given that -3*z**2/4 + 5079*z/4 + 2541/2 = 0.
-1, 1694
Factor 4*o**2 + 188*o + 360.
4*(o + 2)*(o + 45)
Suppose -h**4/4 + 13*h**3 + 3*h**2/4 - 77*h/2 - 26 = 0. What is h?
-1, 2, 52
Suppose -20*k**5 + 605*k**4 + 2445*k**3 + 3505*k**2 + 2195*k + 510 = 0. Calculate k.
-1, -3/4, 34
Factor -3*k**3/4 + 21*k**2/4 + 30*k + 33.
-3*(k - 11)*(k + 2)**2/4
Factor -2*k**2 + 197*k - 98.
-(k - 98)*(2*k - 1)
Factor -2*p**3/15 + 14*p**2/15 + 34*p/15 + 6/5.
-2*(p - 9)*(p + 1)**2/15
Determine n so that -n**3/9 - 22*n**2/9 - 40*n/9 = 0.
-20, -2, 0
Suppose m**5 - 77*m**4 - 6*m**3 + 470*m**2 - 619*m + 231 = 0. Calculate m.
-3, 1, 77
Determine j, given that j**5 - 165*j**4 + 483*j**3 + 497*j**2 - 1788*j + 972 = 0.
-2, 1, 3, 162
Factor -2*s**4/5 + 2*s**3/5 + 162*s**2/5 - 162*s/5.
-2*s*(s - 9)*(s - 1)*(s + 9)/5
Let -2*q**4 + 8*q**3 + 6*q**2 - 20*q - 16 = 0. What is q?
-1, 2, 4
What is i in 2*i**3 + 12*i**2 + 6*i - 20 = 0?
-5, -2, 1
Factor f**3/5 + 4*f**2/5 - f/5 - 4/5.
(f - 1)*(f + 1)*(f + 4)/5
Suppose -4*n**5 + 1784*n**4 - 200688*n**3 + 394272*n**2 = 0. What is n?
0, 2, 222
Factor a**3/5 + 97*a**2/5 + 3003*a/5 + 28899/5.
(a + 19)*(a + 39)**2/5
Solve 2*q**5/5 + 16*q**4/5 - 18*q**3 + 16*q**2 + 88*q/5 - 96/5 = 0 for q.
-12, -1, 1, 2
Let 3*s**4/7 - 6*s**3/7 - 15*s**2/7 + 18*s/7 = 0. Calculate s.
-2, 0, 1, 3
Factor -5*b**4 + 55*b**3 - 140*b**2.
-5*b**2*(b - 7)*(b - 4)
Let k**4/3 - 5*k**2/3 + 4/3 = 0. Calculate k.
-2, -1, 1, 2
Factor i**4 - 435*i**3 + 1729*i**2 - 2157*i + 862.
(i - 431)*(i - 2)*(i - 1)**2
Factor -2*t**2 - 284*t + 286.
-2*(t - 1)*(t + 143)
Let -60*o**5 + 488*o**4 + 480*o**3 - 104*o**2 - 36*o = 0. Calculate o.
-1, -1/5, 0, 1/3, 9
Solve i**5/5 + 92*i**4/5 + 2788*i**3/5 + 26722*i**2/5 - 35557*i/5 - 59582/5 = 0 for i.
-31, -1, 2
Determine i so that -2*i**3/11 - 18*i**2/11 + 60*i/11 + 16 = 0.
-11, -2, 4
Determine o, given that -4*o**2 + 76*o - 192 = 0.
3, 16
Factor d**3 - 225*d**2 - 1144*d - 1380.
(d - 230)*(d + 2)*(d + 3)
Factor -5*a**3 + 115*a**2 - 590*a + 480.
-5*(a - 16)*(a - 6)*(a - 1)
Determine h, given that 6*h**5/7 + 66*h**4/7 + 162*h**3/7 + 150*h**2/7 + 48*h/7 = 0.
-8, -1, 0
Factor 2*h**2 + 24*h + 64.
2*(h + 4)*(h + 8)
Let -k**5/2 - 27*k**4/2 - 85*k**3 = 0. Calculate k.
-17, -10, 0
Find a such that -3*a**3/5 - 272*a**2/5 + 367*a/5 - 92/5 = 0.
-92, 1/3, 1
Factor -2*i**2 + 8*i - 6.
-2*(i - 3)*(i - 1)
Factor -2*o**3/7 - 4*o**2/7.
-2*o**2*(o + 2)/7
Solve 2*r**5/9 - 8*r**4/9 - 2*r**3/3 + 4*r**2 = 0.
-2, 0, 3
Suppose 3*l**4 + 36*l**3 - 81*l**2 + 42*l = 0. Calculate l.
-14, 0, 1
What is c in -2*c**3 - 50*c**2 - 136*c - 88 = 0?
-22, -2, -1
What is o in 5*o**4 - 15*o**3 + 5*o**2 + 15*o - 10 = 0?
-1, 1, 2
Find n, given that 3*n**4 - 534*n**3 + 13683*n**2 + 897120*n + 8467200 = 0.
-16, 105
Factor 2*f**2 + 436*f + 434.
2*(f + 1)*(f + 217)
Solve 35*x**4 + 10*x**3 - 455*x**2 - 550*x - 120 = 0.
-3, -1, -2/7, 4
Factor 24*k**2 + 1588*k + 264.
4*(k + 66)*(6*k + 1)
Determine l so that -10*l**3 + 32*l**2 + 40*l - 128 = 0.
-2, 2, 16/5
Find f such that 4*f**5 - 37*f**4 + 101*f**3 - 83*f**2 + 15*f = 0.
0, 1/4, 1, 3, 5
What is v in 3*v**4/8 - 633*v**3/8 + 1257*v**2/8 - 627*v/8 = 0?
0, 1, 209
Suppose -9*l**5 - 42*l**4 + 267*l**3 + 204*l**2 - 96*l = 0. Calculate l.
-8, -1, 0, 1/3, 4
Determine k, given that -4*k**2/5 + 2592*k/5 = 0.
0, 648
Factor -2*j**2/3 + 664*j/3 - 55112/3.
-2*(j - 166)**2/3
Suppose 2*q**3/9 + 118*q**2/9 + 1798*q/9 + 1682/9 = 0. What is q?
-29, -1
Factor 4*q**4 - 268*q**3 - 1124*q**2 - 852*q.
4*q*(q - 71)*(q + 1)*(q + 3)
Factor b**2/7 + 170*b/7.
b*(b + 170)/7
Suppose -4*t**2 - 424*t - 11236 = 0. Calculate t.
-53
Factor -3*b**4/7 + 9*b**2/7 + 6*b/7.
-3*b*(b - 2)*(b + 1)**2/7
Determine w, given that -9*w**4 + 1416*w**3 - 53772*w**2 - 151680*w - 76800 = 0.
-2, -2/3, 80
Factor -4*w**2/7 - 8*w.
-4*w*(w + 14)/7
Determine i so that -200*i**2/3 + 520*i/3 - 338/3 = 0.
13/10
Find m such that -m**4/6 - 5*m**3/3 - 13*m**2/6 + 10*m - 6 = 0.
-6, 1
Suppose z**3 - 24*z**2 + 45*z - 22 = 0. Calculate z.
1, 22
Factor -n**2/5 - 3*n/5 + 8.
-(n - 5)*(n + 8)/5
Factor -2*c**2/11 - 84*c/11.
-2*c*(c + 42)/11
Factor y**3 + 69*y**2 + 1287*y + 3267.
(y + 3)*(y + 33)**2
Suppose 5*c**2 + 390*c + 385 = 0. What is c?
-77, -1
Solve -4*b**2/7 + 792*b/7 + 580 = 0 for b.
-5, 203
What is d in 5*d**3/2 + 545*d**2 + 29150*d - 60500 = 0?
-110, 2
Solve 2*m**5/5 - 2*m**4/5 - 18*m**3/5 - 22*m**2/5 - 8*m/5 = 0.
-1, 0, 4
Suppose 5*q**2 + 130*q + 440 = 0. Calculate q.
-22, -4
Let 4*i**2 - 48*i - 112 = 0. Calculate i.
-2, 14
Factor -f**3/5 + 46*f**2/5 - 131*f/5 + 86/5.
-(f - 43)*(f - 2)*(f - 1)/5
Factor 3*o**4/2 + 59*o**3/2 - 161*o**2 - 120*o.
o*(o - 5)*(o + 24)*(3*o + 2)/2
Solve -15*b**5 + 65*b**4 - 85*b**3 + 15*b**2 + 40*b - 20 = 0 for b.
-2/3, 1, 2
Solve -14*w**4 + 88*w**3 - 10*w**2 - 88*w + 24 = 0.
-1, 2/7, 1, 6
What is v in 3*v**3/2 + 9*v**2/2 = 0?
-3, 0
Let -o**3 - 4*o**2 - 5*o - 2 = 0. Calculate o.
-2, -1
Factor -2*l**5/5 - 32*l**4/5 - 128*l**3/5.
-2*l**3*(l + 8)**2/5
Factor 4*q**3 - 892*q**2 + 48364*q + 153228.
4*(q - 113)**2*(q + 3)
Solve -2*n**4 + 36*n**3 + 46*n**2 - 1872*n - 5408 = 0.
-4, 13
Factor -3*q**3/4 - 9*q**2/2 - 33*q/4 - 9/2.
-3*(q + 1)*(q + 2)*(q + 3)/4
Find a, given that 3*a**2 - 2226*a + 412923 = 0.
371
Factor 18*q**3 + 159*q**2 + 300*q - 192.
3*(q + 4)*(2*q - 1)*(3*q + 16)
Determine d, given that 125*d**5 + 38150*d**4 + 3870920*d**3 + 129535920*d**2 - 105496560*d + 21224160 = 0.
-102, 2/5
Factor -2*j**2/3 - 37*j/3 + 19/3.
-(j + 19)*(2*j - 1)/3
Factor s**4/4 + 24*s**3 + 279*s**2/4 - s - 93.
(s - 1)*(s + 2)**2*(s + 93)/4
Solve 2*w**4/7 - 6*w**3 + 150*w**2/7 + 62*w + 240/7 = 0.
-1, 8, 15
Let 11*l**4 + 251*l**3 + 1879*l**2 + 4501*l - 882 = 0. What is l?
-9, -7, 2/11
What is u in 4*u**2 + 1828*u + 1824 = 0?
-456, -1
Solve 3*v**3 + 21*v**2 + 12*v - 36 = 0.
-6, -2, 1
Suppose -2*c**3 + 132*c**2 - 598*c - 732 = 0. What is c?
-1, 6, 61
Suppose 1168*y**2/11 + 1174*y/11 + 6/11 = 0. Calculate y.
-1, -3/584
Factor j**3/4 - 53*j**2/2 + 903*j - 9702.
(j - 42)**2*(j - 