Factor -27*q**2/5 - 93*q/5 - 36/5.
-3*(q + 3)*(9*q + 4)/5
Factor 16*x**2/3 - 140*x/3 - 200/3.
4*(x - 10)*(4*x + 5)/3
Solve 5*s**4 - 190*s**3 + 340*s**2 + 760*s - 1440 = 0.
-2, 2, 36
Factor b**3/7 - 102*b**2/7 + 201*b/7 - 100/7.
(b - 100)*(b - 1)**2/7
Factor 5*t**3 + 915*t**2 - 20*t - 3660.
5*(t - 2)*(t + 2)*(t + 183)
Factor 4*i**2 - 68*i + 240.
4*(i - 12)*(i - 5)
Solve -24*t**5 - 164*t**4 - 204*t**3 - 64*t**2 = 0 for t.
-16/3, -1, -1/2, 0
Factor -5*u**4 - 45*u**3 - 135*u**2 - 155*u - 60.
-5*(u + 1)**2*(u + 3)*(u + 4)
Let 2*w**4 + 148*w**3/3 + 232*w**2/3 + 44*w/3 - 46/3 = 0. What is w?
-23, -1, 1/3
Factor -4*h**4 - 112*h**3 + 916*h**2 - 2192*h + 1680.
-4*(h - 3)*(h - 2)**2*(h + 35)
Factor 3*u**4 - 129*u**3 - 135*u**2 + 129*u + 132.
3*(u - 44)*(u - 1)*(u + 1)**2
Let -2*j**3/7 - 10*j**2/7 + 8*j/7 + 40/7 = 0. Calculate j.
-5, -2, 2
Solve m**2 + 116*m + 3364 = 0.
-58
Let 2*w**2 - 8 = 0. Calculate w.
-2, 2
What is a in 10*a**5 - 65*a**4 + 80*a**3 - 25*a**2 = 0?
0, 1/2, 1, 5
Determine w, given that 3*w**4 - 3396*w**3 + 950826*w**2 + 5796972*w + 8741547 = 0.
-3, 569
Factor 5*i**5/4 + 45*i**4/4 + 30*i**3 + 20*i**2.
5*i**2*(i + 1)*(i + 4)**2/4
Determine o, given that -o**3/11 + 141*o**2/11 - 4899*o/11 - 5041/11 = 0.
-1, 71
Let -5*m**4/4 - 15*m**3/2 - 25*m**2/4 + 15*m = 0. What is m?
-4, -3, 0, 1
Suppose 3*j**3/4 + 33*j**2/2 + 90*j = 0. Calculate j.
-12, -10, 0
Let t**5/5 - 2*t**4/5 - 3*t**3/5 + 8*t**2/5 - 4*t/5 = 0. What is t?
-2, 0, 1, 2
Factor g**4 - 5*g**3 + g**2 + 21*g - 18.
(g - 3)**2*(g - 1)*(g + 2)
What is d in -2*d**5 - 2*d**4 + 18*d**3 - 22*d**2 + 8*d = 0?
-4, 0, 1
Solve -8*h**5 + 36*h**4 + 216*h**3 - 1364*h**2 + 2064*h - 720 = 0.
-6, 1/2, 2, 3, 5
Suppose 2*b**2/5 - 2*b + 12/5 = 0. What is b?
2, 3
Factor -k**4/2 - 7*k**3/2 - 15*k**2/2 - 13*k/2 - 2.
-(k + 1)**3*(k + 4)/2
Solve -y**3 + 124*y**2 = 0.
0, 124
Factor n**2 + 221*n + 220.
(n + 1)*(n + 220)
What is r in 2000*r**5 + 4800*r**4 + 3700*r**3 + 684*r**2 - 324*r - 108 = 0?
-1, -3/5, -1/2, 3/10
What is f in f**3/6 + 3*f**2/2 - 23*f/3 - 20 = 0?
-12, -2, 5
Factor l**2 - 15*l.
l*(l - 15)
Factor -4*f**4 + 172*f**3 + 176*f**2.
-4*f**2*(f - 44)*(f + 1)
Suppose x**2 + 46*x - 47 = 0. Calculate x.
-47, 1
Suppose -2*z**5 + 8*z**4 - 20*z**2 + 2*z + 12 = 0. Calculate z.
-1, 1, 2, 3
Suppose 5*u**5 - 525*u**4 - 530*u**3 = 0. What is u?
-1, 0, 106
Factor 5*k**2/4 + 7*k/4.
k*(5*k + 7)/4
Factor b**4/2 - 5*b**3/2 - 9*b**2 + 10*b + 28.
(b - 7)*(b - 2)*(b + 2)**2/2
Let 3*w**3 - 996*w**2 + 1983*w - 990 = 0. What is w?
1, 330
Factor -2*o**2 + 2800*o - 980000.
-2*(o - 700)**2
Factor 3*s**2 - 183*s.
3*s*(s - 61)
Solve 5*b**3 + 25*b**2 - 60*b - 180 = 0 for b.
-6, -2, 3
Factor -2*t**2 - 172*t - 3698.
-2*(t + 43)**2
Let 3*r**4 + 48*r**3 - 21*r**2 - 318*r + 288 = 0. What is r?
-16, -3, 1, 2
Determine n so that 4*n**3/3 - 904*n**2/3 + 8740*n/3 - 7200 = 0.
5, 216
Find z such that -5*z**3 + 5*z**2 = 0.
0, 1
Factor 4*o**3/9 + 4816*o**2/3 + 5798464*o/3 + 6981350656/9.
4*(o + 1204)**3/9
Find q such that 9*q**4 + 10*q**3 + q**2 = 0.
-1, -1/9, 0
Suppose z**3/7 - 29*z**2/7 + 160*z/7 + 768/7 = 0. What is z?
-3, 16
Factor -r**3 - 71*r**2 - 1295*r - 1225.
-(r + 1)*(r + 35)**2
Find n such that -63*n**5 - 600*n**4 - 1791*n**3 - 1638*n**2 - 96*n + 288 = 0.
-4, -1, -6/7, 1/3
What is z in 25*z**3 - 745*z**2 - 150*z = 0?
-1/5, 0, 30
Let -3*n**4/2 + 462*n**3 - 53361*n**2 + 2739198*n - 105459123/2 = 0. Calculate n.
77
Determine r, given that 5*r**2 - 510*r + 13005 = 0.
51
Let 2*w**3/9 + 2*w**2/3 - 20*w/9 = 0. What is w?
-5, 0, 2
Let -18*n**4/19 - 60*n**3/19 - 2*n**2/19 + 56*n/19 + 24/19 = 0. Calculate n.
-3, -2/3, 1
Suppose -3*u**4 + 36*u**3 + 177*u**2 + 234*u + 96 = 0. What is u?
-2, -1, 16
What is z in z**2/3 + 344*z/3 + 676 = 0?
-338, -6
Factor -3*v**2/2 - 189*v/2 - 588.
-3*(v + 7)*(v + 56)/2
Factor -3*d**3 - 6*d**2 + 3*d + 6.
-3*(d - 1)*(d + 1)*(d + 2)
Let 3*f**3/5 + 132*f**2/5 - 321*f/5 - 414 = 0. Calculate f.
-46, -3, 5
Factor -4*s**4/3 + 7880*s**3/3 - 1296256*s**2 + 2582016*s.
-4*s*(s - 984)**2*(s - 2)/3
Let -2*w**4/7 + 82*w**3/7 - 228*w**2/7 - 8*w/7 + 304/7 = 0. What is w?
-1, 2, 38
Factor 5*f**2 - 15590*f + 12152405.
5*(f - 1559)**2
Factor 4*t**2 - 328*t - 6272.
4*(t - 98)*(t + 16)
Suppose 115*y**5/4 + 685*y**4/2 + 2295*y**3/4 + 235*y**2 - 25*y = 0. What is y?
-10, -1, 0, 2/23
Find j, given that -j**5 - 10*j**4 - 16*j**3 = 0.
-8, -2, 0
Factor x**3/10 - 289*x**2/5 - x/10 + 289/5.
(x - 578)*(x - 1)*(x + 1)/10
Determine p, given that -2*p**5/3 - 4*p**4/3 + 2*p**3 + 16*p**2/3 + 8*p/3 = 0.
-2, -1, 0, 2
Suppose -2*w**4/5 + 24*w**3/5 - 14*w**2/5 - 96*w/5 + 88/5 = 0. What is w?
-2, 1, 2, 11
Factor -2*u**2/11 + 152*u/11.
-2*u*(u - 76)/11
Factor -3*x**2/2 + 21*x/2.
-3*x*(x - 7)/2
Factor -4*i**2 - 172*i - 168.
-4*(i + 1)*(i + 42)
Factor 3*a**2 - 66*a - 69.
3*(a - 23)*(a + 1)
Factor i**4/7 + 2*i**3/7 - 192*i**2/7 - 1026*i/7 + 1215/7.
(i - 15)*(i - 1)*(i + 9)**2/7
Factor -2*v**3/3 + 2*v**2.
-2*v**2*(v - 3)/3
Solve 1805*v**4 + 1235*v**3 - 4135*v**2 + 1185*v - 90 = 0 for v.
-2, 3/19, 1
What is z in -16*z**3/5 + 66*z**2 + 478*z/5 + 132/5 = 0?
-1, -3/8, 22
Determine f, given that 3*f**4/4 + 9*f**3 + 135*f**2/4 + 75*f/2 = 0.
-5, -2, 0
Solve -2*y**2 + 8512*y - 9056768 = 0 for y.
2128
Factor s**4/2 - 12*s**3 + 59*s**2 + 156*s + 169/2.
(s - 13)**2*(s + 1)**2/2
What is f in 39*f**5 - 129*f**4 + 114*f**3 - 24*f**2 = 0?
0, 4/13, 1, 2
Suppose 2*d**5 + 42*d**4 + 266*d**3 + 534*d**2 + 308*d = 0. What is d?
-11, -7, -2, -1, 0
Factor 3*y**3/8 + 111*y**2/8.
3*y**2*(y + 37)/8
Factor -2*t**5/3 - 106*t**4/3 + 218*t**3/3 - 110*t**2/3.
-2*t**2*(t - 1)**2*(t + 55)/3
Suppose -5*i**2/6 - 3815*i/3 - 2910845/6 = 0. Calculate i.
-763
Let -2*d**4/7 + 592*d**3/7 - 65712*d**2/7 + 3241792*d/7 - 59973152/7 = 0. Calculate d.
74
Factor 5*v**3 + 140*v**2 + 135*v.
5*v*(v + 1)*(v + 27)
Determine t so that 2*t**2/17 + 2660*t/17 - 5328/17 = 0.
-1332, 2
Factor -2*g**3/19 + 6*g**2/19 + 8*g/19.
-2*g*(g - 4)*(g + 1)/19
Let s**4 - 37*s**3 - s**2 + 37*s = 0. Calculate s.
-1, 0, 1, 37
Find f such that 2*f**2 - 50*f + 312 = 0.
12, 13
Factor -3*s**3 + 1251*s**2 - 173889*s + 8056857.
-3*(s - 139)**3
Suppose -35*d**3/2 + 1930*d**2 - 106975*d/2 + 15125 = 0. Calculate d.
2/7, 55
Find b, given that 6*b**5 - 44*b**4 + 100*b**3 - 56*b**2 - 42*b + 36 = 0.
-2/3, 1, 3
Find f, given that 5*f**3 - 95*f**2 - 2725*f - 2625 = 0.
-15, -1, 35
Determine c so that 2*c**2 - 3*c/4 = 0.
0, 3/8
Suppose 2*q**4 - 58*q**3 + 494*q**2 - 1014*q = 0. Calculate q.
0, 3, 13
Factor 5*l**4 + 50*l**3 + 145*l**2 + 40*l - 240.
5*(l - 1)*(l + 3)*(l + 4)**2
Factor 2*t**2 - 42*t + 76.
2*(t - 19)*(t - 2)
Let -4*z**3 + 1428*z**2 - 128160*z + 126736 = 0. Calculate z.
1, 178
Let -5*z**2/9 - 38*z/9 + 16/9 = 0. Calculate z.
-8, 2/5
What is c in 7*c**5/6 - 76*c**4/3 + 691*c**3/6 + 35*c**2 = 0?
-2/7, 0, 7, 15
Find a, given that 2*a**4/9 + 20*a**3/9 + 10*a**2/9 - 200*a/9 - 64/3 = 0.
-8, -4, -1, 3
Factor 4*z**3/3 - 373*z**2/3 + 391*z - 90.
(z - 90)*(z - 3)*(4*z - 1)/3
Let 4*s**2 + 964*s + 1912 = 0. Calculate s.
-239, -2
Factor 2*t**4/3 + 4*t**3 - 2*t**2 - 40*t/3 - 8.
2*(t - 2)*(t + 1)**2*(t + 6)/3
Solve m**3/9 + 92*m**2/3 - 556*m/9 = 0.
-278, 0, 2
Let -n**3 + 49*n**2 - 392*n - 5488 = 0. What is n?
-7, 28
Suppose -2*m**3/15 + 10*m**2/3 + 168*m/5 + 264/5 = 0. What is m?
-6, -2, 33
Determine g so that -g**5/2 + 3*g**4 - 4*g**3 - g**2 + 9*g/2 - 2 = 0.
-1, 1, 4
Factor 5*p**2 + 8325*p - 8330.
5*(p - 1)*(p + 1666)
Find c, given that 32*c**5/3 + 10*c**4 - 34*c**3/3 - 10*c**2 + 2*c/3 = 0.
-1, 0, 1/16, 1
Find i, given that i**2 + 8*i/3 + 4/3 = 0.
-2, -2/3
Factor 3*j**4 - 9*j**3 + 12*j.
3*j*(j - 2)**2*(j + 1)
Factor 4*q**5 + 4*q**4 - 4*q**3 - 4*q**2.
4*q**2*(q - 1)*(q + 1)**2
Let -x**4/4 - 5*x**3/4 + 291*x**2/4 + 2893*x/4 + 2299/2 = 0. What is x?
-11, -2, 19
Factor -5*c**3/2 - 75*c**2/2 - 5*c + 780.
-5*(c - 4)*(c + 6)*(c + 13)/2
Factor 2*g**3/3 + 38*g**2.
2*g**2*(g + 57)/3
What is v in -5*v**3/4 + 95*v**2/4 + 105*v/2 = 0?
-2, 0, 21
Let 2*a**2 + 40*a + 128 = 0. What is a?
-16, -4
Factor 5*u**2 + 280*u + 275.
5*(u + 1)*(u + 55)
Determine p so that 2*p**2/17 - 424*p/17 + 22472/17 = 0.
106
Determine g, given that -9*g**3/4 - 69*g**2/8 + 15*g/2 + 27/8 = 0.
-9/2, -1/3, 1
What is d in d**5 - 6*d**4 - 13*d**3 + 38*d**2 + 36*d - 56 = 0?
-2, 1, 2, 7
Factor -