232
Factor m**3/2 - 105*m**2/2 + 207*m/2 - 103/2.
(m - 103)*(m - 1)**2/2
Factor m**4/4 - 7*m**3/4 + 15*m**2/4 - 9*m/4.
m*(m - 3)**2*(m - 1)/4
Find u such that -3*u**3 - 96*u**2 + 105*u + 198 = 0.
-33, -1, 2
Find q such that -2*q**5/3 + 182*q**4/3 - 5750*q**3/3 + 69658*q**2/3 - 215296*q/3 + 195112/3 = 0.
2, 29
Factor 396050*v**4 + 394270*v**3 - 1778*v**2 + 2*v.
2*v*(v + 1)*(445*v - 1)**2
Suppose 4*d**2 - 88*d + 484 = 0. What is d?
11
Factor 5*u**4 - 135*u**3 + 130*u**2.
5*u**2*(u - 26)*(u - 1)
Find l such that -2*l**3/7 + 1184*l**2/7 + 2374*l/7 + 1188/7 = 0.
-1, 594
Solve 5*w**3 - 19995*w**2 + 26653335*w - 11842965185 = 0.
1333
Let 3*o**4 - 21*o**3 + 42*o**2 - 24*o = 0. What is o?
0, 1, 2, 4
Factor -2*b**3/5 - 8*b**2/5 + 42*b/5.
-2*b*(b - 3)*(b + 7)/5
Suppose -2*k**2 - 54*k - 52 = 0. Calculate k.
-26, -1
Suppose 5*i**5/4 - 1475*i**4/4 + 112375*i**3/4 - 525625*i**2/4 = 0. What is i?
0, 5, 145
Solve 3*l**4/8 - 21*l**3/4 - 33*l**2 - 195*l/4 - 171/8 = 0.
-3, -1, 19
Find u such that 768*u**4/5 + 17472*u**3/5 + 107724*u**2/5 + 95004*u/5 + 22707/5 = 0.
-87/8, -1/2
Solve s**3/5 - 89*s**2 + 49283*s/5 + 49729/5 = 0 for s.
-1, 223
Factor 2*w**4/9 + 80*w**3/9 - 2*w**2/9 - 80*w/9.
2*w*(w - 1)*(w + 1)*(w + 40)/9
What is l in -2*l**5 + 16*l**4/5 + 4*l**3 - 32*l**2/5 - 2*l + 16/5 = 0?
-1, 1, 8/5
Solve -m**5 + 57*m**4 - 983*m**3 + 4759*m**2 - 4200*m - 10000 = 0.
-1, 4, 25
Determine a so that 4*a**2/5 + 28*a/5 - 264 = 0.
-22, 15
Factor h**4 - 475*h**3/4 - 119*h**2/4.
h**2*(h - 119)*(4*h + 1)/4
Factor -4*c**4 + 60*c**3 - 92*c**2 - 156*c.
-4*c*(c - 13)*(c - 3)*(c + 1)
Factor -5*f**2 - 50*f - 45.
-5*(f + 1)*(f + 9)
Solve 12*h**2 + 932*h - 1912 = 0 for h.
-239/3, 2
Let 14*v**2 + 52*v + 38 = 0. Calculate v.
-19/7, -1
Let 4*x**4 + 8*x**3 - 48*x**2 - 160*x - 128 = 0. What is x?
-2, 4
Solve 2*i**3/13 + 54*i**2/13 + 382*i/13 + 330/13 = 0 for i.
-15, -11, -1
Factor t**5/3 - 17*t**4/3 - 38*t**3/3 + 282*t**2 + 1287*t + 1521.
(t - 13)**2*(t + 3)**3/3
Let -5*z**2 + 45*z = 0. Calculate z.
0, 9
Determine b, given that -2*b**3/9 + 10*b**2/9 - 4*b/3 = 0.
0, 2, 3
Determine v so that -7*v**4/3 + 2*v**3/3 + 49*v**2/3 - 56*v/3 + 4 = 0.
-3, 2/7, 1, 2
Suppose -s**2/10 + 141*s/5 - 19881/10 = 0. What is s?
141
Suppose 4*a**2/3 + 68*a/3 + 64/3 = 0. Calculate a.
-16, -1
Factor 2*l**3/11 + 12*l**2/11 - 64/11.
2*(l - 2)*(l + 4)**2/11
Factor -4*x**4 - 28*x**3 - 24*x**2 + 128*x + 128.
-4*(x - 2)*(x + 1)*(x + 4)**2
Let -2*v**3/11 - 62*v**2/11 - 630*v/11 - 2106/11 = 0. What is v?
-13, -9
Factor d**5/6 - 184*d**4/3 + 8464*d**3 - 1557376*d**2/3 + 35819648*d/3.
d*(d - 92)**4/6
Factor 2*v**3 - 720*v**2 + 2854*v - 2136.
2*(v - 356)*(v - 3)*(v - 1)
Factor 144*r**4 + 1632*r**3 + 4564*r**2 + 1388*r + 112.
4*(r + 4)*(r + 7)*(6*r + 1)**2
Solve -12*k**4 + 11*k**3 + 30*k**2 - 8*k = 0.
-4/3, 0, 1/4, 2
Factor 5*g**5 + 35*g**4 + 25*g**3 - 35*g**2 - 30*g.
5*g*(g - 1)*(g + 1)**2*(g + 6)
Factor 10*u**3/7 + 16*u**2/7 - 88*u/7 + 32/7.
2*(u - 2)*(u + 4)*(5*u - 2)/7
What is w in -84*w**5 - 375*w**4 + 219*w**3 - 30*w**2 = 0?
-5, 0, 1/4, 2/7
Factor -2*q**2/9 + 46*q/3 + 48.
-2*(q - 72)*(q + 3)/9
Suppose 12*j**4 + 216*j**3 - 1593*j**2 + 3165*j - 1800 = 0. What is j?
-24, 1, 5/2
Factor -2*n**3/7 - 2*n**2/7 + 12*n.
-2*n*(n - 6)*(n + 7)/7
Factor -3*k**4/4 + 45*k**3/4 - 81*k**2/4 + 39*k/4.
-3*k*(k - 13)*(k - 1)**2/4
Let -18*l**5 + 33*l**4 + 9*l**3 - 33*l**2 + 9*l = 0. Calculate l.
-1, 0, 1/3, 1, 3/2
Let -x**3/2 + 87*x**2 - 3870*x + 7396 = 0. Calculate x.
2, 86
Factor 2*r**4/5 + 2*r**3/5 - 8*r**2/5 - 8*r/5.
2*r*(r - 2)*(r + 1)*(r + 2)/5
Factor 2*f**2 - 3028*f + 1146098.
2*(f - 757)**2
Find w such that 16*w**4 + 10*w**3 - 48*w**2 - 62*w - 20 = 0.
-1, -5/8, 2
Factor 18*a**3 + 614*a**2 - 5008*a/9 + 1120/9.
2*(a + 35)*(9*a - 4)**2/9
Suppose -63*x**4 - 438*x**3 - 672*x**2 - 282*x + 15 = 0. What is x?
-5, -1, 1/21
Factor h**3 - 8*h**2 + 21*h - 18.
(h - 3)**2*(h - 2)
Find d such that -100*d**2/3 + 20*d - 3 = 0.
3/10
Factor 4*h**2 - 11520*h - 11524.
4*(h - 2881)*(h + 1)
Find d, given that 4*d**4/7 - 1040*d**3/7 + 101400*d**2/7 - 4394000*d/7 + 71402500/7 = 0.
65
Suppose 9*x**2 + 10731*x + 3576 = 0. Calculate x.
-1192, -1/3
Determine f, given that 3*f**4 + 164*f**3/5 + 407*f**2/5 - 10*f - 56/5 = 0.
-7, -4, -1/3, 2/5
Factor -8*q**5/13 - 56*q**4/13 - 146*q**3/13 - 172*q**2/13 - 88*q/13 - 16/13.
-2*(q + 2)**3*(2*q + 1)**2/13
Solve 2*a**3/3 + 796*a**2/3 + 26664*a + 52272 = 0.
-198, -2
Let 4*b**4 - 8*b**3 - 236*b**2 + 1248*b - 1728 = 0. What is b?
-9, 3, 4
Factor -2*x**4/9 - 4*x**3/3 - 2*x**2/9 + 16*x/3 - 32/9.
-2*(x - 1)**2*(x + 4)**2/9
Factor 3*t**4/2 - 6*t**3 + 9*t**2/2 + 6*t - 6.
3*(t - 2)**2*(t - 1)*(t + 1)/2
Determine y, given that -y**5/4 - 3*y**4 + 7*y**3/2 + 3*y**2 - 13*y/4 = 0.
-13, -1, 0, 1
What is s in -s**4/2 + 9*s**3 - 40*s**2 + 48*s = 0?
0, 2, 4, 12
Let 5*z**3 + 325*z**2 - 1780*z - 2100 = 0. What is z?
-70, -1, 6
Solve -y**5/5 + 58*y**4/5 - 949*y**3/5 + 3132*y**2/5 - 2916*y/5 = 0.
0, 2, 27
What is h in -2*h**4/9 - 44*h**3/9 - 38*h**2/3 + 8*h/9 + 152/9 = 0?
-19, -2, 1
Suppose 3*h**3 + 414*h**2 + 8547*h + 8136 = 0. Calculate h.
-113, -24, -1
Factor k**3 + 51*k**2 + 615*k - 667.
(k - 1)*(k + 23)*(k + 29)
Suppose 5*q**3 + 2210*q**2 + 2205*q = 0. What is q?
-441, -1, 0
Factor -4*r**3 + 16*r.
-4*r*(r - 2)*(r + 2)
Suppose -3*n**3 - 60*n**2 - 399*n - 882 = 0. What is n?
-7, -6
What is o in -4*o**5/3 + 148*o**4 - 4032*o**3 - 12544*o**2/3 = 0?
-1, 0, 56
Factor m**5 - 2*m**4 - 5*m**3 + 6*m**2.
m**2*(m - 3)*(m - 1)*(m + 2)
Suppose 5*x**3 - 965*x**2 + 46075*x + 47045 = 0. What is x?
-1, 97
Solve -d**2/8 - 7*d/8 - 3/4 = 0.
-6, -1
Suppose -d**3/4 + 2*d**2 - 4*d = 0. What is d?
0, 4
Solve -3*d**5 + 3*d**4 + 6*d**3 = 0 for d.
-1, 0, 2
Factor 4*w**3 - 24*w**2 + 44*w - 24.
4*(w - 3)*(w - 2)*(w - 1)
What is d in 5*d**3 - 40*d**2 - 155*d - 110 = 0?
-2, -1, 11
Let 24*t**4 - 508*t**3 + 84*t**2 = 0. What is t?
0, 1/6, 21
Factor -2*d**3/21 + 226*d**2/7 - 1338*d/7 + 1998/7.
-2*(d - 333)*(d - 3)**2/21
Suppose 2*b**4 - 14*b**2 + 12*b = 0. Calculate b.
-3, 0, 1, 2
Suppose -o**4 + 238*o**3 - 13921*o**2 - 28560*o - 14400 = 0. What is o?
-1, 120
Suppose -3*q**4 - 105*q**3 - 972*q**2 - 3504*q - 4416 = 0. What is q?
-23, -4
Factor 5*u**2 - 25*u - 180.
5*(u - 9)*(u + 4)
Determine d so that d**3 + 9*d**2 + 8*d = 0.
-8, -1, 0
Factor 3*a**3/2 + 18*a**2 + 30*a.
3*a*(a + 2)*(a + 10)/2
Factor y**3 - 49*y**2 + 588*y.
y*(y - 28)*(y - 21)
Suppose -5*o**5 - 50*o**4 + 1020*o**3 - 2710*o**2 + 2585*o - 840 = 0. What is o?
-21, 1, 8
Factor -g**3/3 + 40*g**2.
-g**2*(g - 120)/3
Suppose -5*r**3/3 + 40*r**2 - 320*r + 2560/3 = 0. Calculate r.
8
Factor -2*r**4 + 210*r**3 - 414*r**2 + 206*r.
-2*r*(r - 103)*(r - 1)**2
Solve -2*h**4/13 - 16*h**3/13 + 496*h**2/13 - 192*h + 3168/13 = 0 for h.
-22, 2, 6
Factor -2*q**3/3 + 28*q**2 + 30*q - 172/3.
-2*(q - 43)*(q - 1)*(q + 2)/3
Let -5*c**5 - 15*c**4 + 10*c**3 + 30*c**2 - 5*c - 15 = 0. Calculate c.
-3, -1, 1
Let 5*j**3 - 375*j**2/4 + 945*j/4 = 0. Calculate j.
0, 3, 63/4
Factor -2*o**3/13 + 10*o**2/13 - 12*o/13.
-2*o*(o - 3)*(o - 2)/13
Factor -k**3 - 26*k**2 + 120*k.
-k*(k - 4)*(k + 30)
Determine t, given that 14*t**2/9 - 374*t/9 - 12 = 0.
-2/7, 27
Determine c so that -c**2/4 + 23*c/2 - 529/4 = 0.
23
Factor -2*b**2/7 - 780*b/7 + 782/7.
-2*(b - 1)*(b + 391)/7
Factor -2*k**3/7 + 100*k**2/7 - 358*k/7 - 460/7.
-2*(k - 46)*(k - 5)*(k + 1)/7
Determine b, given that 2*b**3/7 + 58*b**2/7 + 110*b/7 + 54/7 = 0.
-27, -1
Solve -972*x**3 + 5940*x**2 - 651*x + 18 = 0.
1/18, 6
Determine a so that 2*a**3/9 - 136*a**2/9 - 278*a/9 - 140/9 = 0.
-1, 70
Factor -v**3/3 - v**2 + 10*v/3.
-v*(v - 2)*(v + 5)/3
What is g in -4*g**5 - 94*g**4 - 526*g**3 + 336*g**2 + 288*g = 0?
-12, -1/2, 0, 1
Factor -2*w**2/11 - 428*w/11 - 22898/11.
-2*(w + 107)**2/11
Solve -2*h**2/9 - 14*h/9 - 20/9 = 0.
-5, -2
Factor -215*i**2/3 - 428*i/3 + 4/3.
-(i + 2)*(215*i - 2)/3
Factor -2*s**2/21 + 44*s/21 - 242/21.
-2*(s - 11)**2/21
Factor 2*n**4 - 40*n**3 + 108*n**2 - 104*n + 34.
2*(n - 17)*(n - 1)**3
Solve 3*u**3 + 273*u**2 + 780*u - 1056 = 0.
-88, -4, 1
Factor n**5 + 5*n**4 + 7*n**3 + 3*n**2.
n**2*(n + 1)**2*(n + 3)
Determine i, given that -24*i**3/5 - 106*i**2/5 + 218*i/5 - 12 = 0.
-6, 1/3, 5/4
Factor 2*z**3/3 + 4*z**2 + 2*z - 20/3.
2*(z - 1)*(z + 2)*(z + 5)/3
Factor h**2/7 - 18064*h/