*(s + 41)
Factor -2*k**4/19 - 112*k**3/19 - 1452*k**2/19 + 3248*k/19 - 1682/19.
-2*(k - 1)**2*(k + 29)**2/19
Determine f so that -27*f**2 + 17475*f - 3882 = 0.
2/9, 647
Solve -2*r**4/7 + 114*r**3/7 - 324*r**2/7 - 8*r/7 + 432/7 = 0.
-1, 2, 54
Let -5*l**4 + 880*l**3 - 39590*l**2 + 76560*l - 37845 = 0. Calculate l.
1, 87
Factor -16*u**4 - 200*u**3 - 793*u**2 - 1050*u - 441.
-(u + 1)**2*(4*u + 21)**2
Let -4*l**3 + 7*l**2/2 + 17*l/2 + 1 = 0. What is l?
-1, -1/8, 2
Suppose -3*p**2/5 + 63*p/5 = 0. Calculate p.
0, 21
Let -2*h**5 + 9*h**4 + 2*h**3 - 31*h**2 + 30*h - 8 = 0. Calculate h.
-2, 1/2, 1, 4
Solve 5*s**2 + 1290*s + 83205 = 0 for s.
-129
Factor w**2/5 - 4*w + 36/5.
(w - 18)*(w - 2)/5
Determine q so that -5*q**2 - 1550*q + 1555 = 0.
-311, 1
Suppose o**2/7 + 7464*o/7 + 13927824/7 = 0. What is o?
-3732
What is x in -6*x**5/5 + 16*x**4/5 - 6*x**3/5 - 4*x**2/5 = 0?
-1/3, 0, 1, 2
Factor 28*q**4/3 + 52*q**3/3 + 20*q**2/3 - 4*q/3.
4*q*(q + 1)**2*(7*q - 1)/3
Find s such that 169*s**5/10 + 26*s**4/5 - 503*s**3/10 - 247*s**2/5 - 58*s/5 - 4/5 = 0.
-1, -2/13, 2
Suppose 2*o**3/7 + 2*o**2 - 34*o/7 + 18/7 = 0. Calculate o.
-9, 1
Find v such that 3*v**5 + 18*v**4 + 12*v**3 - 18*v**2 - 15*v = 0.
-5, -1, 0, 1
Factor 3*l**2/2 - 201*l + 396.
3*(l - 132)*(l - 2)/2
Determine z so that -15*z**2/7 - 2577*z/7 + 516/7 = 0.
-172, 1/5
Factor z**4/3 + 97*z**3 + 289*z**2/3 - 97*z - 290/3.
(z - 1)*(z + 1)**2*(z + 290)/3
Find i, given that -35*i**3 + 25*i**2 + 80*i + 20 = 0.
-1, -2/7, 2
Find t, given that -t**2 - 24*t - 144 = 0.
-12
Solve -i**4/2 + 323*i**3/2 - 12960*i**2 - 13122*i = 0 for i.
-1, 0, 162
Solve -2*m**2/17 + 11456*m/17 - 16404992/17 = 0.
2864
Find g such that -3*g**2/2 - 309*g - 615/2 = 0.
-205, -1
Factor -16*t**4 - 520*t**3 + 263*t**2 - 33*t.
-t*(t + 33)*(4*t - 1)**2
Solve 3*j**4 + 90*j**3 - 1053*j**2 = 0 for j.
-39, 0, 9
Let m**2/4 + 4*m - 225/4 = 0. Calculate m.
-25, 9
Factor 4*u**4 + 36*u**3 - 40*u**2.
4*u**2*(u - 1)*(u + 10)
Factor -2*t**3/7 - 12*t**2/7 - 18*t/7.
-2*t*(t + 3)**2/7
Factor -4*s**2 + 100*s + 104.
-4*(s - 26)*(s + 1)
Determine z so that 5*z**4 + 45*z**3 + 135*z**2 + 155*z + 60 = 0.
-4, -3, -1
What is r in -2*r**2 - 26*r - 72 = 0?
-9, -4
Factor m**3 - 133*m**2 - m + 133.
(m - 133)*(m - 1)*(m + 1)
Determine f so that 44*f**3 - 356*f**2 + 692*f - 60 = 0.
1/11, 3, 5
Factor -3*m**5 - 12*m**4 - 12*m**3 + 6*m**2 + 15*m + 6.
-3*(m - 1)*(m + 1)**3*(m + 2)
Let -14*d**5/17 - 206*d**4/17 - 8*d**3 + 56*d**2/17 = 0. Calculate d.
-14, -1, 0, 2/7
What is z in -2*z**5 - 14*z**4 - 14*z**3 + 38*z**2 + 32*z - 40 = 0?
-5, -2, 1
Factor -3*q**3/2 - 48*q**2 + 105*q/2 + 99.
-3*(q - 2)*(q + 1)*(q + 33)/2
Suppose 4*h**5/3 - 98*h**4/9 + 206*h**3/9 - 14*h**2/3 - 218*h/9 + 140/9 = 0. What is h?
-1, 1, 7/6, 2, 5
Factor 7*r**3 + 393*r**2 + 5544*r + 784.
(r + 28)**2*(7*r + 1)
Factor 5*b**2/2 - 19845*b + 78764805/2.
5*(b - 3969)**2/2
Solve 500*s**3 + 1016*s**2 + 32*s = 0.
-2, -4/125, 0
Factor -5*n**4 + 130*n**3.
-5*n**3*(n - 26)
Let 9*h**4/8 + 30*h**3 + 381*h**2/8 + 75*h/4 = 0. What is h?
-25, -1, -2/3, 0
Let 14*m**3 - 219*m**2/2 - 20*m = 0. Calculate m.
-5/28, 0, 8
Factor 5*r**4 + 20*r**3 - 205*r**2 + 180*r.
5*r*(r - 4)*(r - 1)*(r + 9)
Factor 3*b**3/4 + 195*b**2/4 + 48*b.
3*b*(b + 1)*(b + 64)/4
Factor -3*v**3/4 + 6*v**2 - 21*v/4.
-3*v*(v - 7)*(v - 1)/4
Factor 2*w**2 - 316*w + 12482.
2*(w - 79)**2
Let -m**4 - 20*m**3 - 23*m**2 + 476*m = 0. What is m?
-17, -7, 0, 4
Factor -4*h**3/9 + 904*h**2/9 - 51076*h/9.
-4*h*(h - 113)**2/9
Factor 3*z**2/5 - 5691*z/5.
3*z*(z - 1897)/5
What is f in f**5/3 + f**4 - f**3 - 11*f**2/3 - 2*f = 0?
-3, -1, 0, 2
Factor 2*a**3 + 640*a**2 + 51834*a + 101124.
2*(a + 2)*(a + 159)**2
Factor 2*g**3/7 - 10*g**2/7 + 8*g/7.
2*g*(g - 4)*(g - 1)/7
Let 1100*g**2 + 2196*g - 8 = 0. Calculate g.
-2, 1/275
Solve v**3/4 - 11*v**2/4 + 2*v + 5 = 0.
-1, 2, 10
Factor 4*l**2 - 6184*l + 2390116.
4*(l - 773)**2
Factor 2*f**2/17 - 1128*f/17 + 1126/17.
2*(f - 563)*(f - 1)/17
Solve -2*y**3/7 - 288*y**2/7 - 13824*y/7 - 221184/7 = 0.
-48
Let -2*q**2/3 + 62*q - 364/3 = 0. What is q?
2, 91
Find o such that -2*o**4/13 + 12*o**3/13 - 16*o**2/13 - 12*o/13 + 18/13 = 0.
-1, 1, 3
Solve -3*k**2 - 6*k + 45 = 0 for k.
-5, 3
Factor 2*u**4/7 - 4*u**3/7 - 6*u**2 - 36*u/7.
2*u*(u - 6)*(u + 1)*(u + 3)/7
Solve 14*i**2/11 + 17574*i/11 + 5020/11 = 0.
-1255, -2/7
Find p such that -3*p**3 - 1335*p**2 - 149184*p - 147852 = 0.
-222, -1
Let -3*y**3 + 135*y**2 + 138*y = 0. What is y?
-1, 0, 46
Find o, given that 5*o**2 + 25*o - 630 = 0.
-14, 9
Let 2*m**5 + 14*m**4 + 20*m**3 - 4*m**2 - 22*m - 10 = 0. What is m?
-5, -1, 1
Solve -2*z**3/17 + 202*z**2/17 - 46*z + 582/17 = 0.
1, 3, 97
Factor 110*f**5/13 + 438*f**4/13 - 8*f**3/13.
2*f**3*(f + 4)*(55*f - 1)/13
Find v such that 2*v**5 - 10*v**4 - 14*v**3 + 10*v**2 + 12*v = 0.
-1, 0, 1, 6
Factor 2*s**5/7 - 1466*s**4/7.
2*s**4*(s - 733)/7
Factor -2*u**2/15 - 776*u/15 - 75272/15.
-2*(u + 194)**2/15
Solve 20*t**5 + 85*t**4 - 120*t**3 - 235*t**2 - 50*t = 0.
-5, -1, -1/4, 0, 2
Factor -35*g**4 - 290*g**3 - 640*g**2 - 160*g.
-5*g*(g + 4)**2*(7*g + 2)
Factor -5*f**2 - 155*f + 160.
-5*(f - 1)*(f + 32)
Factor -4*z**5 - 108*z**4 + 24*z**3 + 680*z**2 + 876*z + 324.
-4*(z - 3)*(z + 1)**3*(z + 27)
Determine j, given that -2*j**4/5 + 608*j**3/5 - 45596*j**2/5 - 93024*j/5 - 46818/5 = 0.
-1, 153
Factor -2*j**2/11 - 36*j/11 + 126/11.
-2*(j - 3)*(j + 21)/11
Suppose 3*c**5 + 669*c**4 + 660*c**3 - 1332*c**2 = 0. What is c?
-222, -2, 0, 1
Let 4*u**4/5 + 1568*u**3/5 + 155208*u**2/5 + 59904*u - 91260 = 0. Calculate u.
-195, -3, 1
Suppose -18*r**4 - 644*r**3 - 5688*r**2 + 1296*r = 0. Calculate r.
-18, 0, 2/9
Find w such that -54*w**5 + 162*w**4 - 108*w**3 - 8*w**2 + 16*w = 0.
-1/3, 0, 2/3, 2
Suppose m**2 + 1184*m + 350464 = 0. What is m?
-592
Factor -3*f**2 + 360*f - 10800.
-3*(f - 60)**2
Let 15*r**4 - 3050*r**3 + 157035*r**2 - 199980*r - 204020 = 0. Calculate r.
-2/3, 2, 101
Factor d**2/3 + 31*d/3 + 28.
(d + 3)*(d + 28)/3
Factor -b**2 - 1268*b + 2540.
-(b - 2)*(b + 1270)
Factor -3*w**4/2 - 9*w**3 - 33*w**2/2 - 9*w.
-3*w*(w + 1)*(w + 2)*(w + 3)/2
Determine z, given that 2*z**4/9 + 2960*z**3/9 + 547600*z**2/3 + 405224000*z/9 + 37483220000/9 = 0.
-370
Let 40*t**3 + 28*t**2 - 92*t + 24 = 0. What is t?
-2, 3/10, 1
Suppose -2*t**5 + 32*t**4 + 38*t**3 - 68*t**2 = 0. Calculate t.
-2, 0, 1, 17
Factor 4*d**4 - 44*d**3 - 224*d**2 - 240*d.
4*d*(d - 15)*(d + 2)**2
Factor -12*y**2 + 7792*y - 2596.
-4*(y - 649)*(3*y - 1)
Let -z**5/4 - 35*z**4/4 - 287*z**3/4 - 985*z**2/4 - 384*z - 225 = 0. What is z?
-25, -3, -2
Factor -o**5/3 - 55*o**4 - 3450*o**3 - 102690*o**2 - 1461915*o - 8029287.
-(o + 21)**3*(o + 51)**2/3
Solve -b**3/5 + 34*b**2/5 + 148*b/5 + 152/5 = 0.
-2, 38
Factor -2*w**4 + 46*w**3 - 224*w**2.
-2*w**2*(w - 16)*(w - 7)
Factor -3*i**5 + 3*i**4.
-3*i**4*(i - 1)
Factor 14*g**2/17 + 424*g/17 + 120/17.
2*(g + 30)*(7*g + 2)/17
Suppose -l**5/5 - l**4/5 + l**3 - 3*l**2/5 = 0. What is l?
-3, 0, 1
Factor -3*c**2/4 - 51*c/2 - 867/4.
-3*(c + 17)**2/4
Factor -2*b**4/9 - 224*b**3/9 - 7292*b**2/9 - 19040*b/3 - 14450.
-2*(b + 5)**2*(b + 51)**2/9
Factor -4*o**5/7 - 156*o**4 - 8904*o**3 + 234808*o**2 - 1757532*o + 4235364.
-4*(o - 7)**3*(o + 147)**2/7
Factor -2*s**3/7 - 6*s**2/7 - 4*s/7.
-2*s*(s + 1)*(s + 2)/7
Factor w**4/3 + w**3 - 3*w**2 - 9*w.
w*(w - 3)*(w + 3)**2/3
Find o, given that 2*o**4/7 - 506*o**3/7 - 510*o**2/7 + 506*o/7 + 508/7 = 0.
-1, 1, 254
Factor 2*q**4 - 8*q**3 + 8*q**2.
2*q**2*(q - 2)**2
Factor 4*k**4/7 + 88*k**3/7 - 4*k**2/7 - 88*k/7.
4*k*(k - 1)*(k + 1)*(k + 22)/7
Factor -3*j**4 + 444*j**3 - 16428*j**2.
-3*j**2*(j - 74)**2
Find n such that -10*n**4/21 - 20746*n**3/21 - 10745380*n**2/21 + 5025304*n/7 - 1436592/7 = 0.
-1038, 2/5, 1
What is z in z**3/8 + 27*z**2/4 + 84*z + 304 = 0?
-38, -8
Find m such that 33*m**5/4 - 63*m**4/4 - 39*m**3/4 + 63*m**2/4 + 3*m/2 = 0.
-1, -1/11, 0, 1, 2
Suppose -3*a**3 + 5202*a**2 - 2255067*a = 0. Calculate a.
0, 867
Factor 2*b**4/7 + 10*b**3/7 + 12*b**2/7 - 8*b/7 - 16/7.
2*(b - 1)*(b + 2)**3/7
Factor 2*n**2/3 + 16*n/3 - 6.
2*(n - 1)*(n + 9)/3
Let -2*a**5/3 + 52*a**4/3 + 170*a**3/3 + 116*a**2/3 = 0. What is a?
-2, -1, 0, 29
Factor 5*m**2 + 145*m - 150.
5*(m - 1)*(m + 30)
Let -21*f**4 - 138*f**3 - 240*f**2 - 96*f = 0. Calculate f.
-4, -2, -4/7, 0
Solve -2*k**3/5 +