+ 16425*d - 16875.
3*(d - 1)*(d + 75)**2
Solve 4*w**2/9 + 9568*w/9 + 5721664/9 = 0 for w.
-1196
Find i, given that -5*i**2 + 115*i = 0.
0, 23
Factor p**2/2 + 6*p.
p*(p + 12)/2
Suppose s**2 - 24*s + 143 = 0. What is s?
11, 13
Factor -5*z**2 - 1265*z.
-5*z*(z + 253)
Let 2*i**4 + 16*i**3 = 0. Calculate i.
-8, 0
Let 12*a**5/5 + 412*a**4/5 + 1276*a**3/5 + 1124*a**2/5 + 248*a/5 = 0. What is a?
-31, -2, -1, -1/3, 0
Find d, given that -5*d**3/2 - 65*d**2 - 675*d/2 + 405 = 0.
-18, -9, 1
Factor -3*t**4/7 - 30*t**3/7 + 69*t**2/7 + 720*t/7 - 1728/7.
-3*(t - 3)**2*(t + 8)**2/7
Factor a**2 - 396*a + 39204.
(a - 198)**2
Solve 2*z**5/7 - 18*z**4 - 6*z**3/7 + 374*z**2/7 + 36*z = 0 for z.
-1, 0, 2, 63
Suppose -4*h**2 + 164*h + 2040 = 0. Calculate h.
-10, 51
Factor 100*q**3/7 - 5020*q**2/7 - 4064*q/7 - 816/7.
4*(q - 51)*(5*q + 2)**2/7
What is a in 2*a**2 - 50*a + 252 = 0?
7, 18
Factor 5*x**3 + 25*x**2 + 10*x - 40.
5*(x - 1)*(x + 2)*(x + 4)
Solve -2*n**4 + 18*n**2 = 0 for n.
-3, 0, 3
Factor f**3/3 - 944*f**2/3 + 222784*f/3.
f*(f - 472)**2/3
Determine h so that -3*h**3 + 129*h**2 - 249*h + 123 = 0.
1, 41
What is w in -3*w**3/4 + 31653*w**2/4 - 111323601*w/4 + 130508368239/4 = 0?
3517
Factor -4*a**3/7 - 156*a**2/7 + 2916*a/7 - 2756/7.
-4*(a - 13)*(a - 1)*(a + 53)/7
Let 3*s**5/5 + 44*s**4/5 + 172*s**3/5 + 54*s**2/5 - 35*s - 98/5 = 0. What is s?
-7, -1, -2/3, 1
Find s, given that -10*s**4/7 + 3946*s**3/7 + 1580*s**2/7 = 0.
-2/5, 0, 395
Let -c**3/6 + 4*c**2/3 - 19*c/6 + 2 = 0. What is c?
1, 3, 4
Factor -4*c**5 + 40*c**3 - 80*c**2 + 60*c - 16.
-4*(c - 1)**4*(c + 4)
Let k**5 + 33*k**4 + 132*k**3 - 2320*k**2 + 4800*k = 0. What is k?
-20, 0, 3, 4
Factor -4*p**3 - 96*p**2 - 180*p - 88.
-4*(p + 1)**2*(p + 22)
Let 9*c**5/4 + 37*c**4/2 + 133*c**3/4 + 20*c**2 + 3*c = 0. What is c?
-6, -1, -2/9, 0
Solve -v**3/5 + 11*v**2/5 - 7*v + 5 = 0 for v.
1, 5
Factor 117*s**2 + 101*s - 16.
(s + 1)*(117*s - 16)
Factor -2*w**2 + 1836*w - 421362.
-2*(w - 459)**2
Factor -16*o**5/5 - 122*o**4/5 - 336*o**3/5 - 368*o**2/5 - 64*o/5 + 96/5.
-2*(o + 2)**4*(8*o - 3)/5
Factor -j**3/11 - 2*j**2 - 41*j/11 - 20/11.
-(j + 1)**2*(j + 20)/11
Solve 2*c**2/11 - 608*c/11 + 46208/11 = 0 for c.
152
Find d such that -22500*d**2 - 9600*d - 1024 = 0.
-16/75
Factor 3*m**4/7 - 216*m**3/7 + 4296*m**2/7 - 14688*m/7 + 13872/7.
3*(m - 34)**2*(m - 2)**2/7
Factor 4*w**4 + 16*w**3 - 4*w**2 - 16*w.
4*w*(w - 1)*(w + 1)*(w + 4)
Let 16*i**5/9 + 76*i**4/3 + 632*i**3/9 - 368*i**2 - 1632*i - 384 = 0. Calculate i.
-6, -1/4, 4
Factor 2*r**3/3 - 14*r**2 - 16*r + 88/3.
2*(r - 22)*(r - 1)*(r + 2)/3
Solve 4*n**2 - 852*n - 3472 = 0.
-4, 217
Determine r so that r**4/7 - 4*r**3/7 - r**2 + 10*r/7 = 0.
-2, 0, 1, 5
Factor 3044*r**2 + 15228*r + 40.
4*(r + 5)*(761*r + 2)
Factor 5*r**2 - 370*r + 6845.
5*(r - 37)**2
Factor -a**3 - 424*a**2 + a + 424.
-(a - 1)*(a + 1)*(a + 424)
Solve -10*c**4/3 + 18*c**3 - 10*c**2/3 - 18*c + 20/3 = 0 for c.
-1, 2/5, 1, 5
Factor -10*g**2 - 132*g - 144.
-2*(g + 12)*(5*g + 6)
Factor 12*a**4 + 64*a**3 - 364*a**2 + 304*a + 144.
4*(a - 2)**2*(a + 9)*(3*a + 1)
Suppose -9*h**5 + 124*h**4 - 260*h**3 - 190*h**2 + 269*h + 66 = 0. Calculate h.
-1, -2/9, 1, 3, 11
Factor -t**4 + t**3 + 4*t**2 - 4*t.
-t*(t - 2)*(t - 1)*(t + 2)
Let 3*l**5/7 + 12*l**4/7 - 12*l**3 + 96*l**2/7 = 0. What is l?
-8, 0, 2
Factor -3*m**2 - 69*m + 150.
-3*(m - 2)*(m + 25)
Let -5*u**2 + 3485*u + 3490 = 0. What is u?
-1, 698
Factor b**2 - 827*b/4 - 207/4.
(b - 207)*(4*b + 1)/4
Factor 27*m**2 + 6*m.
3*m*(9*m + 2)
Solve -15*h**4/8 + 87*h**3/8 - 51*h**2/4 - 3*h = 0.
-1/5, 0, 2, 4
Suppose 3*c**5 + 4332*c**4 - 17358*c**3 + 26052*c**2 - 17373*c + 4344 = 0. Calculate c.
-1448, 1
Factor -2*y**3 - 4*y**2 + 10*y + 12.
-2*(y - 2)*(y + 1)*(y + 3)
Factor 4*m**4 + 20*m**3 - 52*m**2 + 28*m.
4*m*(m - 1)**2*(m + 7)
Let p**3/8 - 411*p**2/8 + 819*p/8 - 409/8 = 0. What is p?
1, 409
Factor 8*h**3/5 - 46*h**2/5 - 12*h/5.
2*h*(h - 6)*(4*h + 1)/5
Find y such that 4*y**3 + 88*y**2 + 84*y = 0.
-21, -1, 0
Solve -4*c**2 + 224*c - 3136 = 0.
28
Suppose -2*w**5/3 + 98*w**4 - 16132*w**3/3 + 388796*w**2/3 - 1114366*w - 3748322/3 = 0. What is w?
-1, 37
Solve 3*y**3 + 215*y**2 + 141*y - 71 = 0 for y.
-71, -1, 1/3
Factor p**2/4 + 156*p + 623/4.
(p + 1)*(p + 623)/4
Factor -4*n**3/3 - 44*n**2/3 - 52*n - 60.
-4*(n + 3)**2*(n + 5)/3
Factor -2*h**2/11 + 216*h/11 - 424/11.
-2*(h - 106)*(h - 2)/11
Factor 4496182*w**3/3 - 68644*w**2 + 1048*w - 16/3.
2*(131*w - 2)**3/3
Suppose -3*q**4 - 45*q**3 - 159*q**2 + 45*q + 162 = 0. What is q?
-9, -6, -1, 1
Let -8*y**4/3 - 202*y**3 - 2176*y**2/3 - 382*y + 144 = 0. What is y?
-72, -3, -1, 1/4
Determine c, given that c**4/3 + 227*c**3 + 38760*c**2 + 115600*c/3 = 0.
-340, -1, 0
What is g in -g**3/2 + 5*g**2/2 + 16*g + 18 = 0?
-2, 9
Factor 80*u**3 + 280*u**2 + 285*u + 90.
5*(u + 2)*(4*u + 3)**2
Factor 4*l**3 - 40*l**2 + 92*l - 56.
4*(l - 7)*(l - 2)*(l - 1)
Factor -2*y**3/3 + 60*y**2 + 62*y - 364/3.
-2*(y - 91)*(y - 1)*(y + 2)/3
Find o such that o**4 - 67*o**3 + 936*o**2 + 6480*o = 0.
-5, 0, 36
Factor c**2/5 + 148*c/5 - 60.
(c - 2)*(c + 150)/5
Solve l**2 + 65*l + 126 = 0 for l.
-63, -2
What is y in 16*y**5 - 36*y**4 - 36*y**3 = 0?
-3/4, 0, 3
Determine o, given that 4*o**2 + 120*o = 0.
-30, 0
Suppose d**5/3 - 5*d**4/3 + 3*d**3 - 7*d**2/3 + 2*d/3 = 0. Calculate d.
0, 1, 2
Factor -5*n**2 + 170*n.
-5*n*(n - 34)
Factor -5*f**4 - 15*f**3 + 180*f**2 - 160*f.
-5*f*(f - 4)*(f - 1)*(f + 8)
Factor -28*f**4 + 32968*f**3 - 67864596*f**2/7 - 38836304*f/7 - 5550736/7.
-4*(f - 589)**2*(7*f + 2)**2/7
Factor n**2 - 190*n + 9025.
(n - 95)**2
Find v, given that -2*v**3/9 + 606*v**2 - 550854*v + 166908762 = 0.
909
Factor t**3/4 - 189*t**2/4 + 11907*t/4 - 250047/4.
(t - 63)**3/4
Suppose 2*v**5/9 + 2*v**4/9 - 32*v**3/3 - 352*v**2/9 - 256*v/9 = 0. Calculate v.
-4, -1, 0, 8
Suppose -5*y**2 + 3435*y + 6890 = 0. Calculate y.
-2, 689
Factor -3*v**3 - 99*v**2 + 102*v.
-3*v*(v - 1)*(v + 34)
Suppose x**2/2 + 10*x - 598 = 0. What is x?
-46, 26
Factor -5*g**3/2 - 135*g**2/2 - 185*g - 120.
-5*(g + 1)*(g + 2)*(g + 24)/2
Let -2*h**3 - 166*h**2 + 338*h - 170 = 0. What is h?
-85, 1
Factor -4*g**3 - 56*g**2 - 196*g - 144.
-4*(g + 1)*(g + 4)*(g + 9)
Determine r, given that -4*r**3/5 + 896*r**2/5 - 19776*r/5 + 23040 = 0.
12, 200
Factor -d**4/7 + d**3/7 + 6*d**2/7 - 4*d/7 - 8/7.
-(d - 2)**2*(d + 1)*(d + 2)/7
Factor -4*p**4 + 88*p**3 - 276*p**2 - 2288*p - 2704.
-4*(p - 13)**2*(p + 2)**2
Factor -2*s**2/3 + 116*s - 5046.
-2*(s - 87)**2/3
Let 14*c**3/3 + 3230*c**2/3 + 2296*c/3 - 920/3 = 0. Calculate c.
-230, -1, 2/7
Suppose -4*n**3 + 82*n**2 - 440*n + 200 = 0. Calculate n.
1/2, 10
Factor -p**4 + 94*p**3/5 + 19*p**2/5.
-p**2*(p - 19)*(5*p + 1)/5
Factor -2*d**2/3 - 468*d.
-2*d*(d + 702)/3
Factor -5*y**4 - 50*y**3 - 45*y**2.
-5*y**2*(y + 1)*(y + 9)
Let -1089*h**5 + 1914*h**4 + 1788*h**3 - 2952*h**2 + 864*h = 0. What is h?
-4/3, 0, 6/11, 2
Find o such that 3*o**2 + 210*o + 1152 = 0.
-64, -6
Factor -8*k**3/5 + 78*k**2/5 - 148*k/5 - 42/5.
-2*(k - 7)*(k - 3)*(4*k + 1)/5
Factor a**3/6 - 23*a**2/6 + 175*a/6 - 147/2.
(a - 9)*(a - 7)**2/6
Determine j, given that -18*j**2/11 - 34*j/11 + 4/11 = 0.
-2, 1/9
Factor -4*z**2 + 1904*z + 1908.
-4*(z - 477)*(z + 1)
Solve 4*y**5 - 52*y**4 + 152*y**3 - 56*y**2 - 156*y + 108 = 0 for y.
-1, 1, 3, 9
Factor -t**3/7 - 8*t**2/7 - 5*t/7 + 2.
-(t - 1)*(t + 2)*(t + 7)/7
Determine b, given that -2*b**2 - 10*b = 0.
-5, 0
What is m in 5*m**4 + 30*m**3 + 45*m**2 - 20*m - 60 = 0?
-3, -2, 1
Let -l**2/4 + 171*l/4 + 220 = 0. What is l?
-5, 176
Solve 3*a**2 + 564*a + 26508 = 0 for a.
-94
Factor -g**4/2 + 6*g**3 - 3*g**2 - 26*g - 33/2.
-(g - 11)*(g - 3)*(g + 1)**2/2
Factor -j**4 + 41*j**3 - 246*j**2 - 3744*j - 3456.
-(j - 24)**2*(j + 1)*(j + 6)
Factor -2*m**2/13 - 12*m/13 - 16/13.
-2*(m + 2)*(m + 4)/13
Factor i**3 + 222*i**2 + 16428*i + 405224.
(i + 74)**3
Suppose 6*q**4/7 - 10*q**3 + 150*q**2/7 - 50*q/7 - 36/7 = 0. Calculate q.
-1/3, 1, 2, 9
Factor -b**2/4 + 3*b/2 - 5/4.
-(b - 5)*(b - 1)/4
Solve 20*q**3/13 - 62*q**2/13 + 46*q/13 - 4/13 = 0 for q.
1/10, 1, 2
Find t such that -2*t**3/19 + 2*t**2/19 = 0.
0, 1
Factor d**5/3 + 11*d**4/3 + 31*d**3/3 + 7*d**2.
d**2*(d + 1)*(d + 3)*(d + 7)/3
Suppose -5*v**3/4 + 80*v**2 - 315*v/4 = 0. Calculate v.
0, 1, 63
Solve 5*z**3/4 + 167*z**2/2 - 757*z/4 + 69/2 = 0 