*u**3 - 100*u**2 + 108*u + 104.
-4*(u - 1)*(u + 1)**2*(u + 26)
Let 4*g**2/7 - 36*g/7 + 72/7 = 0. Calculate g.
3, 6
Factor -120*n**4 + 358*n**3 - 354*n**2 + 114*n + 2.
-2*(n - 1)**3*(60*n + 1)
Factor -9*s**2/7 - 1083*s/7 - 360/7.
-3*(s + 120)*(3*s + 1)/7
Factor 12*o**2 + 44*o + 40.
4*(o + 2)*(3*o + 5)
Factor -2*j**2/11 + 346*j/11 + 348/11.
-2*(j - 174)*(j + 1)/11
Find l such that 2*l**5/7 - 670*l**4/7 + 7968*l**3 + 8064*l**2 = 0.
-1, 0, 168
Solve 2*k**4 - 52*k**3 - 58*k**2 + 108*k = 0.
-2, 0, 1, 27
Solve 2*r**5/21 + 72*r**4/7 + 1944*r**3/7 = 0.
-54, 0
Determine p so that -5*p**3 + 15*p**2 + 50*p = 0.
-2, 0, 5
Let 2*a**2/3 - 32*a/3 = 0. What is a?
0, 16
Factor -v**2 + 48*v + 385.
-(v - 55)*(v + 7)
Determine j, given that j**2/5 - 57*j/5 + 56/5 = 0.
1, 56
Suppose -2*t**2/7 - 3740*t/7 - 1748450/7 = 0. Calculate t.
-935
Solve -v**5/2 - 11*v**4/2 - 9*v**3 + v**2 + 19*v/2 + 9/2 = 0 for v.
-9, -1, 1
Let -1575*n**2 + 260*n + 20 = 0. What is n?
-2/35, 2/9
Factor 2*d**3 + 146*d**2 + 2590*d - 2738.
2*(d - 1)*(d + 37)**2
Factor -4*t**4 + 60*t**3 - 252*t**2 + 196*t.
-4*t*(t - 7)**2*(t - 1)
Suppose -35*i**3 - 2545*i**2 - 11170*i + 3400 = 0. What is i?
-68, -5, 2/7
Solve -4*y**4 + 28*y**3 - 32*y**2 - 64*y = 0.
-1, 0, 4
Factor -o**4/3 - 14*o**3/3 - 15*o**2.
-o**2*(o + 5)*(o + 9)/3
Factor r**3/4 + 629*r**2/2.
r**2*(r + 1258)/4
Suppose -33*x**5 + 39*x**4 + 126*x**3 - 156*x**2 + 24*x = 0. Calculate x.
-2, 0, 2/11, 1, 2
Solve -45*r**2 - 685*r - 150 = 0 for r.
-15, -2/9
Determine m so that 27*m**5/2 + 363*m**4/2 - 10456*m**3/3 + 31724*m**2/3 + 5224*m + 600 = 0.
-25, -2/9, 6
Factor 5*t**4 - 215*t**3 + 2200*t**2 + 2420*t.
5*t*(t - 22)**2*(t + 1)
Factor -3*i**4 + 90*i**3 + 393*i**2 + 504*i + 204.
-3*(i - 34)*(i + 1)**2*(i + 2)
Suppose -2*v**3 + 16*v**2 - 38*v + 24 = 0. What is v?
1, 3, 4
Determine w, given that 2*w**3 + 14*w**2 - 2*w - 14 = 0.
-7, -1, 1
Determine y, given that -5*y**4 - 5*y**3 + 15*y**2 + 25*y + 10 = 0.
-1, 2
Factor -2*i**2 - 4*i + 96.
-2*(i - 6)*(i + 8)
Determine w, given that 2*w**2/3 - 4*w - 14/3 = 0.
-1, 7
Factor -2*q**3 + 6590*q**2 - 5425216*q - 5431808.
-2*(q - 1648)**2*(q + 1)
Let 4*k**5 + 232*k**4 + 1096*k**3 + 1936*k**2 + 1492*k + 424 = 0. What is k?
-53, -2, -1
Solve 2*y**4/3 - 268*y**3/3 + 2902*y**2 + 18224*y/3 + 9248/3 = 0 for y.
-1, 68
Factor -4*x**2 + 240*x - 3600.
-4*(x - 30)**2
Solve 82*u**5/17 - 898*u**4/17 + 694*u**3/17 + 9794*u**2/17 + 8512*u/17 + 392/17 = 0 for u.
-2, -1, -2/41, 7
Factor -o**2/7 - 4*o + 645/7.
-(o - 15)*(o + 43)/7
Suppose 3*j**3/2 - 72*j**2 + 405*j/2 = 0. Calculate j.
0, 3, 45
Determine j, given that 3*j**2 - 168*j + 1152 = 0.
8, 48
Factor -h**3/3 + 7*h**2 - 40*h + 100/3.
-(h - 10)**2*(h - 1)/3
Factor -411*d**3/4 + 819*d**2/2 - 405*d - 6.
-3*(d - 2)**2*(137*d + 2)/4
Factor -3*a**2 + 1020*a - 1017.
-3*(a - 339)*(a - 1)
Let -l**4 + 13*l**3 - 36*l**2 = 0. Calculate l.
0, 4, 9
Solve -3*g**3/2 - 27*g**2/2 + 3*g/2 + 27/2 = 0.
-9, -1, 1
Solve -d**4 - 52*d**3 - 196*d**2 - 192*d = 0.
-48, -2, 0
Solve 11*s**3 + 9*s**2 - 2*s = 0.
-1, 0, 2/11
Factor z**3 - 18*z**2 + 60*z - 56.
(z - 14)*(z - 2)**2
Solve 2*x**4/5 - 8*x**3/5 - 2*x**2/5 + 8*x/5 = 0 for x.
-1, 0, 1, 4
Suppose 2*g**5 + 56*g**4 + 106*g**3 + 52*g**2 = 0. Calculate g.
-26, -1, 0
Determine j, given that -2*j**3/7 - 148*j**2/7 = 0.
-74, 0
Suppose -2*w**5/3 + 8*w**3/3 + 4*w**2/3 - 2*w - 4/3 = 0. What is w?
-1, 1, 2
Suppose x**5/11 + 15*x**4/11 - 34*x**3/11 + 2*x**2/11 + 3*x - 17/11 = 0. Calculate x.
-17, -1, 1
Let 2*w**4 - 2*w**3 - 36*w**2 + 104*w - 80 = 0. Calculate w.
-5, 2
Determine k, given that 12*k**5/7 - 223*k**4/7 + 115*k**3/7 + 205*k**2/7 - 127*k/7 + 18/7 = 0.
-1, 1/4, 1/3, 1, 18
Factor 3*c**5/8 + 21*c**4/8 + 15*c**3/4 - 27*c**2/4 - 81*c/8 + 81/8.
3*(c - 1)**2*(c + 3)**3/8
Find y, given that -4*y**3 - 20*y**2 + 192*y + 1008 = 0.
-6, 7
Factor -3*w**4/2 + 84*w**3 - 165*w**2/2.
-3*w**2*(w - 55)*(w - 1)/2
Factor 4*k**4/5 - 248*k**3/5 + 4084*k**2/5 - 1488*k + 720.
4*(k - 30)**2*(k - 1)**2/5
Suppose 3*v**3 - 102*v**2 + 93*v + 198 = 0. What is v?
-1, 2, 33
Suppose 4*d**3 - 156*d**2 - 16*d + 624 = 0. What is d?
-2, 2, 39
Factor 35*w**3 + 40*w**2 - 205*w - 30.
5*(w - 2)*(w + 3)*(7*w + 1)
Suppose -108*m**5 + 144*m**4 + 609*m**3 - 213*m**2 + 18*m = 0. Calculate m.
-2, 0, 1/6, 3
Find j such that j**4 + 18*j**3 - 4*j**2 - 72*j = 0.
-18, -2, 0, 2
Factor 5*r**2 + 18400*r + 16928000.
5*(r + 1840)**2
Factor 2*c**4 + 14*c**3 + 34*c**2 + 34*c + 12.
2*(c + 1)**2*(c + 2)*(c + 3)
Factor -2*n**2/7 + 780*n/7 - 76050/7.
-2*(n - 195)**2/7
Suppose 2*z**5/13 - 40*z**4/13 - 616*z**3/13 - 2036*z**2/13 - 410*z/13 + 3100/13 = 0. Calculate z.
-5, -2, 1, 31
Determine z, given that -2*z**2 - 152*z - 576 = 0.
-72, -4
What is u in 9*u**2/8 - 363*u/8 + 15 = 0?
1/3, 40
Suppose -z**2/2 - 45*z = 0. What is z?
-90, 0
Determine h, given that -2*h**5/11 - 50*h**4/11 - 380*h**3/11 - 540*h**2/11 + 2430*h/11 - 1458/11 = 0.
-9, 1
Suppose -3*v**4/7 + 9*v**2 - 60*v/7 = 0. Calculate v.
-5, 0, 1, 4
Find p, given that 4*p**4 - 32*p**3 + 60*p**2 + 32*p - 64 = 0.
-1, 1, 4
Factor -z**2/8 + 89*z - 15842.
-(z - 356)**2/8
Solve -u**2 + 49*u + 50 = 0 for u.
-1, 50
Let -h**2/2 + 50*h - 99/2 = 0. What is h?
1, 99
Determine c so that -3*c**5/4 - 3*c**4 - 9*c**3/2 - 3*c**2 - 3*c/4 = 0.
-1, 0
Let b**3 - 20*b**2 + 128*b - 256 = 0. What is b?
4, 8
Determine h, given that -4*h**5 - 280*h**4 + 8*h**3 + 560*h**2 - 4*h - 280 = 0.
-70, -1, 1
Factor f**2/4 + 7*f/4 + 3/2.
(f + 1)*(f + 6)/4
Determine l so that -l**2/8 + 303*l/2 - 91809/2 = 0.
606
Find f, given that -3*f**5/2 - f**4 + 9*f**3/2 - 2*f = 0.
-2, -2/3, 0, 1
Factor -5*q**3 + 20*q**2.
-5*q**2*(q - 4)
Let x**2/5 + 604*x/5 + 1204/5 = 0. What is x?
-602, -2
What is i in 95*i**5/2 + 485*i**4/2 + 310*i**3 + 30*i**2 = 0?
-3, -2, -2/19, 0
Factor 15*b**2/2 - 129*b/2 + 138.
3*(b - 4)*(5*b - 23)/2
Suppose -5*k**4/3 - 194*k**3/3 + 44*k**2/3 + 194*k/3 - 13 = 0. What is k?
-39, -1, 1/5, 1
Factor -4*t**3 + 44*t**2 - 80*t - 128.
-4*(t - 8)*(t - 4)*(t + 1)
Factor 4*f**2/7 + 36*f + 1368/7.
4*(f + 6)*(f + 57)/7
Determine q, given that -q**3 + 4*q**2 - 5*q + 2 = 0.
1, 2
Factor -a**4 - 2*a**3 + 13*a**2 - 10*a.
-a*(a - 2)*(a - 1)*(a + 5)
Factor -z**2/5 + 84*z/5 - 83/5.
-(z - 83)*(z - 1)/5
Determine i so that 5*i**3 + 40*i**2 + 25*i - 70 = 0.
-7, -2, 1
Factor -3*n**2 - 555*n + 558.
-3*(n - 1)*(n + 186)
Suppose s**3/5 - 1989*s**2 + 6593535*s - 7285856175 = 0. What is s?
3315
Solve -2*m**3/13 + 56*m**2/13 - 54*m/13 = 0.
0, 1, 27
Find i, given that -i**4/8 - 33*i**3/8 - 403*i**2/8 - 2163*i/8 - 539 = 0.
-11, -8, -7
Factor -q**3/3 + 106*q**2/3 - 2809*q/3.
-q*(q - 53)**2/3
Find n such that -5*n**5 + 6000*n**4 - 1793990*n**3 - 3606000*n**2 - 1806005*n = 0.
-1, 0, 601
Factor 2*h**5/9 + 10*h**4/3 + 112*h**3/9 - 16*h**2 - 96*h + 96.
2*(h - 2)*(h - 1)*(h + 6)**3/9
Factor 3*u**3 - 39*u**2 + 66*u.
3*u*(u - 11)*(u - 2)
Factor 3*p**2/7 + 192*p/7 + 27.
3*(p + 1)*(p + 63)/7
Factor 3*g**3/5 - 147*g**2/5 + 345*g + 375.
3*(g - 25)**2*(g + 1)/5
Factor 5*a**3 - 20*a**2 - 55*a + 150.
5*(a - 5)*(a - 2)*(a + 3)
Let 2*l**3/3 - 208*l**2/3 + 808*l/3 - 800/3 = 0. What is l?
2, 100
Determine u so that -2*u**4/11 - 8*u**3/11 - 10*u**2/11 - 4*u/11 = 0.
-2, -1, 0
Factor 2*r**4 + 928*r**3 + 106716*r**2 - 216224*r + 108578.
2*(r - 1)**2*(r + 233)**2
Factor -21*c**2/8 - 33*c/8 - 3/2.
-3*(c + 1)*(7*c + 4)/8
Determine m, given that -5*m**3 + 5575*m**2 - 1562360*m + 4637040 = 0.
3, 556
Factor 5*x**3 - 435*x**2 + 430*x.
5*x*(x - 86)*(x - 1)
Factor -3*d**2 - 15*d - 18.
-3*(d + 2)*(d + 3)
Solve 2*z**2 + 100*z = 0 for z.
-50, 0
Factor -3*y**4 + 258*y**3 - 5544*y**2 - 258*y + 5547.
-3*(y - 43)**2*(y - 1)*(y + 1)
Suppose -5*l**4 + 15*l**3 - 20*l = 0. What is l?
-1, 0, 2
Factor -15*a**3 + 470*a**2 - 3145*a - 2310.
-5*(a - 21)*(a - 11)*(3*a + 2)
Solve 3*a**2 + 4206*a - 4209 = 0 for a.
-1403, 1
Let m**4/3 - 7*m**3/3 - 4*m**2 + 28*m/3 + 32/3 = 0. What is m?
-2, -1, 2, 8
Factor -3*f**4 + 15*f**3 + 3*f**2 - 15*f.
-3*f*(f - 5)*(f - 1)*(f + 1)
Find i such that 2*i**5/11 - 40*i**4/11 - 182*i**3/11 - 236*i**2/11 - 96*i/11 = 0.
-2, -1, 0, 24
Factor -27*p**3 + 141*p**2 + 132*p - 36.
-3*(p - 6)*(p + 1)*(9*p - 2)
Determine p so that 2*p**5/7 + 12*p**4/7 + 24*p**3/7 + 20*p**2/7 + 6*p/7 = 0.
-3, -1, 0
Suppose -2*r**2/11 - 36*r/11 = 0. Calculate r.
-18, 0