48*y**4 + 204*y**3 + 222*y**2 - 207*y - 270 = 0. Calculate y.
-10, -3, -1, 1
Let 2*r**5 + 12*r**4 - 80*r**3 = 0. Calculate r.
-10, 0, 4
Factor 4*f**4 + 30*f**3 + 76*f**2 + 78*f + 28.
2*(f + 1)**2*(f + 2)*(2*f + 7)
Factor 4*z**3 + 900*z**2 + 4416*z + 3520.
4*(z + 1)*(z + 4)*(z + 220)
Factor -45*j**3/2 + 337*j**2/3 - 805*j/6 - 1.
-(j - 3)*(j - 2)*(135*j + 1)/6
Factor -138*d**2/11 + 4*d + 32/11.
-2*(3*d - 2)*(23*d + 8)/11
Factor l**2 - 263*l - 1890.
(l - 270)*(l + 7)
Determine b so that -2*b**4/13 - 6*b**3/13 + 10*b**2/13 + 6*b/13 - 8/13 = 0.
-4, -1, 1
Determine m so that -m**5/2 - 27*m**4/8 - 49*m**3/8 - 9*m**2/4 + m = 0.
-4, -2, -1, 0, 1/4
Factor 2*w**3/17 - 16*w**2 + 538*w/17 - 268/17.
2*(w - 134)*(w - 1)**2/17
Let -a**2/3 + 1687*a/3 + 1688/3 = 0. Calculate a.
-1, 1688
Solve 5*c**3/2 - 25*c**2/2 - 5*c/2 + 25/2 = 0 for c.
-1, 1, 5
Factor 3*n**2 - 1107*n - 2226.
3*(n - 371)*(n + 2)
Factor -2*q**2/3 - 278*q/3 - 548/3.
-2*(q + 2)*(q + 137)/3
Suppose 5*k**4 + 45*k**3 + 145*k**2 + 195*k + 90 = 0. What is k?
-3, -2, -1
Factor h**2/3 + 361*h/3 + 358.
(h + 3)*(h + 358)/3
Find o, given that -o**5 + 4*o**4 + 12*o**3 - 34*o**2 - 11*o + 30 = 0.
-3, -1, 1, 2, 5
Determine k so that 4*k**2 + 3208*k + 643204 = 0.
-401
Solve 8*x**5 - 122*x**4 + 518*x**3 - 290*x**2 - 742*x + 196 = 0.
-1, 1/4, 2, 7
What is f in 3*f**5/4 + 57*f**4/2 + 369*f**3 + 3471*f**2/2 + 5577*f/4 = 0?
-13, -11, -1, 0
Let -5*o**5 - 760*o**4 - 39005*o**3 - 700750*o**2 - 1287500*o - 625000 = 0. What is o?
-50, -1
Suppose -5*a**4 + 5*a**3 + 155*a**2 - 305*a + 150 = 0. Calculate a.
-6, 1, 5
Factor -2*f**2/9 + 3040*f/3 - 1155200.
-2*(f - 2280)**2/9
Factor -n**4 + 24*n**3 - 36*n**2 - 176*n.
-n*(n - 22)*(n - 4)*(n + 2)
Let -k**2/3 + 346*k/3 - 29929/3 = 0. Calculate k.
173
Factor -20*m**3 - 636*m**2 - 4992*m + 1024.
-4*(m + 16)**2*(5*m - 1)
Factor 2*x**3/3 - 6*x**2 + 16*x - 40/3.
2*(x - 5)*(x - 2)**2/3
Find o, given that -o**3 + 510*o**2 - 86700*o + 4913000 = 0.
170
Suppose 3*z**2 - 60*z + 57 = 0. What is z?
1, 19
Factor 5*i**3/7 - 34*i**2/7 + 23*i/7 + 6/7.
(i - 6)*(i - 1)*(5*i + 1)/7
Solve 2*s**5/3 - 2*s**3/3 = 0.
-1, 0, 1
Factor 2*w**3/11 + 34*w**2/11 + 168*w/11 + 216/11.
2*(w + 2)*(w + 6)*(w + 9)/11
Determine d so that 35*d**4 - 5*d**3 - 35*d**2 + 5*d = 0.
-1, 0, 1/7, 1
Solve -10*s**5/9 + 46*s**4/9 - 44*s**3/9 - 28*s**2/9 + 6*s - 2 = 0 for s.
-1, 3/5, 1, 3
Factor -2*r**5 - 20*r**4 + 40*r**3 + 400*r**2 - 1280*r + 1024.
-2*(r - 2)**3*(r + 8)**2
Solve -l**4/3 - 115*l**3 - 685*l**2/3 + 115*l + 686/3 = 0 for l.
-343, -2, -1, 1
Factor 3*r**2 + 18*r - 216.
3*(r - 6)*(r + 12)
Factor 4*y**3 + 452*y**2.
4*y**2*(y + 113)
Suppose 4*g**2 - 532*g + 528 = 0. What is g?
1, 132
Determine r, given that -4*r**5 + 8*r**4 + 28*r**3 + 16*r**2 = 0.
-1, 0, 4
Factor 2*j**3/9 + 8*j**2/9 - 10*j/9.
2*j*(j - 1)*(j + 5)/9
Solve -a**3/4 - 2*a**2 - 5*a/4 + 25/2 = 0.
-5, 2
Suppose 5*w**2/6 - 5*w/3 - 5/2 = 0. What is w?
-1, 3
Find t such that 363*t**4/2 + 594*t**3 + 4119*t**2/8 + 873*t/8 + 27/4 = 0.
-2, -1, -3/22
Solve q**5/2 + q**4/2 - 5*q**3 + 4*q**2 = 0 for q.
-4, 0, 1, 2
What is a in -2*a**2/19 + 368*a/19 = 0?
0, 184
Factor 12*u**5 - 20*u**4 - 8*u**3 + 24*u**2 - 4*u - 4.
4*(u - 1)**3*(u + 1)*(3*u + 1)
Suppose o**3 - 124*o**2 - 379*o - 254 = 0. Calculate o.
-2, -1, 127
Suppose 2*o**5/11 + 38*o**4/11 - 190*o**3/11 - 102*o**2/11 + 828*o/11 = 0. Calculate o.
-23, -2, 0, 3
Determine l so that 11*l**2/4 - 7*l/2 + 3/4 = 0.
3/11, 1
Suppose -7*b**5/4 + 15*b**4/2 - 9*b**3 + 2*b**2 = 0. What is b?
0, 2/7, 2
Find y, given that 2*y**5/11 + 10*y**4/11 - 28*y**3/11 + 4*y**2/11 + 26*y/11 - 14/11 = 0.
-7, -1, 1
Factor c**3/4 + 3103*c**2/4 + 6203*c/4 + 3101/4.
(c + 1)**2*(c + 3101)/4
Find h, given that h**2/2 - 13*h/2 + 20 = 0.
5, 8
Solve -4*a**5/3 + 4*a**4/3 + 176*a**3 = 0.
-11, 0, 12
Factor 2*t**2/13 - 1380*t/13 + 238050/13.
2*(t - 345)**2/13
Factor k**2 - 148*k - 924.
(k - 154)*(k + 6)
What is w in -23*w**5 + 21*w**4 + 25*w**3 - 21*w**2 - 2*w = 0?
-1, -2/23, 0, 1
Solve -10*z**5 - 85*z**4/2 + 35*z**3/2 + 95*z**2 - 60*z = 0.
-4, -2, 0, 3/4, 1
Let -4*o**4 - 52*o**3 - 160*o**2 - 144*o = 0. Calculate o.
-9, -2, 0
Factor -4*w**3 + 204*w**2 - 2496*w - 2704.
-4*(w - 26)**2*(w + 1)
Let -3*a**4 + 165*a**3 - 2184*a**2 - 2352*a = 0. Calculate a.
-1, 0, 28
Factor 4*u**2 + 7280*u + 7276.
4*(u + 1)*(u + 1819)
Factor 5*w**4 - 5*w**3 - 15*w**2 + 5*w + 10.
5*(w - 2)*(w - 1)*(w + 1)**2
Find p such that -2*p**3/15 - 4*p**2/15 + 26*p/15 - 4/3 = 0.
-5, 1, 2
Let -m**4/2 + 298*m**3 - 2373*m**2/2 + 1481*m - 592 = 0. What is m?
1, 2, 592
Factor -2*u**2 + 104*u + 106.
-2*(u - 53)*(u + 1)
Solve -4*n**5 + 24*n**4 - 16*n**3 - 72*n**2 + 20*n + 48 = 0.
-1, 1, 3, 4
Suppose f**5/4 - 11*f**4/4 + 13*f**3/2 - 4*f**2 = 0. What is f?
0, 1, 2, 8
Suppose -o**4/4 - 3*o**3/2 + 2*o**2 + 3*o/2 - 7/4 = 0. Calculate o.
-7, -1, 1
Let 10*z**3/17 - 232*z**2/17 + 46*z/17 = 0. Calculate z.
0, 1/5, 23
Suppose -3*b**4/2 - 27*b**3 - 279*b**2/2 - 282*b - 198 = 0. Calculate b.
-11, -3, -2
Let -2*q**5 - 4*q**4 + 6*q**3 + 8*q**2 - 8*q = 0. Calculate q.
-2, 0, 1
Factor 2*y**2/15 + 1496*y/15 + 279752/15.
2*(y + 374)**2/15
Factor 5*w**3 + 135*w**2 + 255*w + 125.
5*(w + 1)**2*(w + 25)
Factor i**5 - 145*i**4 + 7056*i**3 - 117504*i**2 + 110592*i.
i*(i - 48)**3*(i - 1)
Factor 5*x**4 + 40*x**3 + 30*x**2 - 40*x - 35.
5*(x - 1)*(x + 1)**2*(x + 7)
Factor c**5/2 - 3*c**4/2 - 9*c**3/2 + 23*c**2/2 - 6*c.
c*(c - 4)*(c - 1)**2*(c + 3)/2
Determine c, given that -8*c**5 + 4*c**4 + 32*c**3 - 4*c**2 - 24*c = 0.
-3/2, -1, 0, 1, 2
Determine i, given that -3*i**3/8 - 69*i**2/8 - 513*i/8 - 1215/8 = 0.
-9, -5
Find g such that -20*g**5 - 72*g**4 + 132*g**3 - 40*g**2 = 0.
-5, 0, 2/5, 1
Find s, given that 4*s**3 - 88*s**2 + 300*s - 216 = 0.
1, 3, 18
Suppose w**3/2 + 46*w**2 - 93*w/2 = 0. What is w?
-93, 0, 1
Factor -5*l**3 - 85*l**2 - 470*l - 840.
-5*(l + 4)*(l + 6)*(l + 7)
Determine c so that 25*c**3 - 7455*c**2 + 556515*c - 111005 = 0.
1/5, 149
Find y such that -3*y**3/7 + 39*y**2/7 - 15*y - 21 = 0.
-1, 7
Find l such that 2*l**4/5 + 4*l**3/5 + 2*l**2/5 = 0.
-1, 0
Factor 6*j**4/7 + 90*j**3/7 + 228*j**2/7 + 144*j/7.
6*j*(j + 1)*(j + 2)*(j + 12)/7
Factor 5*n**3 - 95*n + 150.
5*(n - 3)*(n - 2)*(n + 5)
Find d such that -5*d**4 - 9*d**3 + 107*d**2 - 111*d + 18 = 0.
-6, 1/5, 1, 3
Factor -u**2 - 120*u.
-u*(u + 120)
Factor 3*v**2/2 + 27*v/2 + 30.
3*(v + 4)*(v + 5)/2
Factor 2*r**5/9 - 22*r**4/9 + 38*r**3/9 - 2*r**2.
2*r**2*(r - 9)*(r - 1)**2/9
Factor -4*u**3 - 86*u**2/5 - 104*u/5 - 24/5.
-2*(u + 2)**2*(10*u + 3)/5
Find x such that 5*x**3 - 40*x**2 - 115*x + 150 = 0.
-3, 1, 10
What is d in -2*d**2/3 + 320*d/3 - 314 = 0?
3, 157
Factor -10*j**4/13 + 18*j**3/13 - 6*j**2/13 - 2*j/13.
-2*j*(j - 1)**2*(5*j + 1)/13
Determine i so that -3*i**2/7 - 1902*i/7 - 301467/7 = 0.
-317
Factor -3*w**4/4 + 3*w**3/2 + 9*w**2/4 - 3*w - 3.
-3*(w - 2)**2*(w + 1)**2/4
Factor -2*q**3/5 + 8*q**2/5 + 14*q/5 - 4.
-2*(q - 5)*(q - 1)*(q + 2)/5
What is x in -2*x**2/9 - 46*x/9 - 152/9 = 0?
-19, -4
Factor -5*a**4 - 255*a**3 - 3610*a**2 - 9120*a - 5760.
-5*(a + 1)*(a + 2)*(a + 24)**2
What is r in -64*r**2/9 - 16*r - 9 = 0?
-9/8
Let 4*y**4 + 16*y**3 + 20*y**2 + 8*y = 0. What is y?
-2, -1, 0
Factor 2*r**3 + 10*r**2 - 26*r + 14.
2*(r - 1)**2*(r + 7)
Let m**2/2 + 5*m/2 = 0. Calculate m.
-5, 0
Determine c so that -2*c**3/3 - 116*c**2/3 + 1382*c/3 + 1496/3 = 0.
-68, -1, 11
Factor -2*o**2/11 + 64*o/11 + 5106/11.
-2*(o - 69)*(o + 37)/11
Factor 4*n**2 - 2152*n + 2148.
4*(n - 537)*(n - 1)
Factor o**3/3 - 7*o**2/3 + 10*o/3.
o*(o - 5)*(o - 2)/3
Factor f**2/3 + 44*f/3 + 448/3.
(f + 16)*(f + 28)/3
Let -y**3/2 + 3*y**2/2 + 12*y + 14 = 0. Calculate y.
-2, 7
Factor 2*a**4/5 - 4*a**2/5 + 2/5.
2*(a - 1)**2*(a + 1)**2/5
Factor 5*j**3 + 420*j**2 + 9225*j + 60750.
5*(j + 15)**2*(j + 54)
Factor 16*d**4 + 156*d**3 - 664*d**2 + 156*d.
4*d*(d - 3)*(d + 13)*(4*d - 1)
Let -3*m**2 - 30*m - 48 = 0. What is m?
-8, -2
Factor -2*g**3 + 722*g**2 + 724*g.
-2*g*(g - 362)*(g + 1)
Solve 7*o**2 + 335*o - 48 = 0 for o.
-48, 1/7
Factor 4*o**3/5 - 16*o**2/5 + 13*o/5 - 3/5.
(o - 3)*(2*o - 1)**2/5
Determine l so that 1425*l**5/4 + 135*l**4/4 - 948*l**3 + 726*l**2 - 180*l + 12 = 0.
-2, 2/19, 2/5, 1
Suppose -2*f**2 + 434*f + 436 = 0. Calculate f.
-1, 218
What is x in -6*x**3/5 + 21*x**2/5 - 9*x/5 = 0?
0, 1/2, 