c - 2304 = 0. Calculate c.
-72, 2/5
Let -2*a**3/5 - 56*a**2/5 - 106*a/5 - 52/5 = 0. Calculate a.
-26, -1
Determine o so that -3*o**5/4 - 119*o**4/4 - 1157*o**3/4 + 519*o**2/4 + 290*o - 100 = 0.
-20, -1, 1/3, 1
Factor -20*v**3 + 715*v**2 - 520*v - 175.
-5*(v - 35)*(v - 1)*(4*v + 1)
Find h, given that 2*h**3/23 + 64*h**2/23 + 490*h/23 + 1100/23 = 0.
-22, -5
Find x such that -4*x**5/5 - 252*x**4/5 + 1888*x**3/5 - 992*x**2 + 5568*x/5 - 448 = 0.
-70, 1, 2
Factor -2*c**5/3 + 842*c**4/3 - 87350*c**3/3 - 267122*c**2/3 - 268816*c/3 - 89888/3.
-2*(c - 212)**2*(c + 1)**3/3
Factor 453*t**2/8 - 903*t/4 - 3.
3*(t - 4)*(151*t + 2)/8
Suppose 8*r**5 - 182*r**4 + 1354*r**3 - 3466*r**2 + 1638*r + 648 = 0. Calculate r.
-1/4, 1, 4, 9
Factor -2*r**2/7 + 3016*r - 7959224.
-2*(r - 5278)**2/7
Solve 4*q**3 + 3676*q**2 + 14656*q + 14640 = 0.
-915, -2
Factor 16*o**4/13 + 42*o**3/13 + 30*o**2/13 - 2*o/13 - 6/13.
2*(o + 1)**3*(8*o - 3)/13
Suppose -4*w**5 - 44*w**4 + 8*w**3 + 88*w**2 - 4*w - 44 = 0. Calculate w.
-11, -1, 1
Let 5*s**2 + 45*s - 50 = 0. What is s?
-10, 1
Suppose -845*h**3 + 2080*h**2 - 825*h + 90 = 0. Calculate h.
3/13, 2
Let 2*q**2 + 4*q - 6 = 0. What is q?
-3, 1
Determine w, given that -2*w**2 + 2044*w + 4096 = 0.
-2, 1024
Solve h**5/4 - 7*h**4/4 + 11*h**3/4 - 5*h**2/4 = 0 for h.
0, 1, 5
Let 2*m**5 + 14*m**4 + 28*m**3 + 16*m**2 = 0. What is m?
-4, -2, -1, 0
Let 2*y**4/11 - 818*y**3/11 + 816*y**2/11 = 0. What is y?
0, 1, 408
Factor 12*m**4 - 44*m**3 + 60*m**2 - 36*m + 8.
4*(m - 1)**3*(3*m - 2)
Suppose 5*o**4 + 105*o**3 - 120*o**2 - 220*o = 0. What is o?
-22, -1, 0, 2
Let 17*n**2 - 6479*n/3 + 254/3 = 0. Calculate n.
2/51, 127
Find n such that 2*n**4/3 - 8*n**3/3 + 2*n**2 = 0.
0, 1, 3
Let i**3/5 - 782*i**2/5 - i/5 + 782/5 = 0. What is i?
-1, 1, 782
Find w such that 15*w**4 - 445*w**3 + 2490*w**2 + 8080*w + 2400 = 0.
-2, -1/3, 12, 20
Find c such that -12*c**4/5 - 52*c**3/5 + 116*c**2/5 - 28*c/5 - 24/5 = 0.
-6, -1/3, 1
Factor -j**3 - 2*j**2 + 15*j.
-j*(j - 3)*(j + 5)
Let -2*r**3/19 + 14*r**2/19 + 16*r/19 = 0. Calculate r.
-1, 0, 8
Solve -9*s**5 + 210*s**4 + 171*s**3 - 648*s**2 - 12*s + 288 = 0.
-2, -2/3, 1, 24
Solve 50*s**4 + 110*s**3 - 112*s**2 + 24*s = 0 for s.
-3, 0, 2/5
Factor -25*i**4 - 5*i**3 + 25*i**2 + 5*i.
-5*i*(i - 1)*(i + 1)*(5*i + 1)
Let f**4 + 46*f**3 - 247*f**2 + 404*f - 204 = 0. Calculate f.
-51, 1, 2
Determine q so that -q**2/2 + 225*q = 0.
0, 450
Suppose -4*b**5/7 - 4*b**4/7 + b**3 - 2*b**2/7 = 0. Calculate b.
-2, 0, 1/2
Find c, given that -c**3 + 77*c**2 - 552*c = 0.
0, 8, 69
Factor 3*q**4 - 339*q**3 - 1038*q**2 - 696*q.
3*q*(q - 116)*(q + 1)*(q + 2)
Solve -3*c**3/7 + 246*c**2/7 + 1851*c/7 + 1602/7 = 0 for c.
-6, -1, 89
Solve 4*u**2 + 32*u + 48 = 0.
-6, -2
Find f, given that 8*f**2/3 - 1066*f/3 + 266/3 = 0.
1/4, 133
Suppose 2*f**2 + 2662*f - 5332 = 0. Calculate f.
-1333, 2
Suppose -o**4/4 + 5*o**3/2 - 5*o**2 - 5*o/2 + 21/4 = 0. What is o?
-1, 1, 3, 7
Factor -25*k**4 + 140*k**3 + 284*k**2 - 1344*k - 2304.
-(k + 2)**2*(5*k - 24)**2
Factor -i**4/3 - 4*i**3/3 - i**2 + 4*i/3 + 4/3.
-(i - 1)*(i + 1)*(i + 2)**2/3
Let 3*q**2/8 + 9*q/8 + 3/4 = 0. Calculate q.
-2, -1
Factor -2*m**2 + 22*m + 24.
-2*(m - 12)*(m + 1)
Factor i**4/6 - 22*i**3/3 - 33*i**2/2 + 163*i/3 - 92/3.
(i - 46)*(i - 1)**2*(i + 4)/6
Let 3*a**5/5 + 6*a**4/5 - 36*a**3/5 + 42*a**2/5 - 3*a = 0. What is a?
-5, 0, 1
Suppose 18*q**5/17 + 82*q**4/17 - 148*q**3/17 + 48*q**2/17 = 0. Calculate q.
-6, 0, 4/9, 1
Factor -2*w**2/9 + 1444*w/9 - 260642/9.
-2*(w - 361)**2/9
Factor -4*f**3 + 4*f**2 + 16*f - 16.
-4*(f - 2)*(f - 1)*(f + 2)
Find a such that 2*a**5 - 58*a**4 + 152*a**3 + 128*a**2 - 640*a + 416 = 0.
-2, 1, 2, 26
Factor -4*a**4 + 44*a**3 - 132*a**2 + 148*a - 56.
-4*(a - 7)*(a - 2)*(a - 1)**2
Factor a**4/5 - 4*a**3/5 - 19*a**2/5 - 14*a/5.
a*(a - 7)*(a + 1)*(a + 2)/5
Factor -2*u**2/3 - 1232*u/3 - 410.
-2*(u + 1)*(u + 615)/3
Factor -2*s**3/9 + 10*s**2/3 - 46*s/9 - 26/3.
-2*(s - 13)*(s - 3)*(s + 1)/9
What is p in -64*p**4 - 544*p**3 - 708*p**2 - 256*p - 28 = 0?
-7, -1, -1/4
Factor n**5/3 - n**3/3.
n**3*(n - 1)*(n + 1)/3
Factor -3*q**4 + 54*q**3 - 180*q**2 - 600*q.
-3*q*(q - 10)**2*(q + 2)
Factor f**2/2 - 52*f + 303/2.
(f - 101)*(f - 3)/2
Solve 16*p**4 - 68*p**3 - 84*p**2 = 0 for p.
-1, 0, 21/4
Factor 3*v**3 + 60*v**2 - 69*v - 126.
3*(v - 2)*(v + 1)*(v + 21)
Determine v so that 8*v**2 + 84*v + 76 = 0.
-19/2, -1
Determine a so that 3*a**5/2 - 12*a**4 - 51*a**3 + 12*a**2 + 99*a/2 = 0.
-3, -1, 0, 1, 11
Factor 5*q**2 - 240*q.
5*q*(q - 48)
Factor 2*w**5 + 56*w**4 + 554*w**3 + 2196*w**2 + 1944*w - 4752.
2*(w - 1)*(w + 6)**3*(w + 11)
Factor -14*b**3 - 122*b**2 - 76*b + 32.
-2*(b + 1)*(b + 8)*(7*b - 2)
Find w such that 86*w**3/11 - 408*w**2/11 + 600*w/11 - 256/11 = 0.
32/43, 2
Determine d so that 5*d**2 + 285*d - 590 = 0.
-59, 2
Let 2*c**3 - 20*c**2 + 42*c = 0. Calculate c.
0, 3, 7
Suppose -l**3/7 - 20*l**2/7 + l/7 + 20/7 = 0. What is l?
-20, -1, 1
Determine c, given that 996*c**2 - 1028*c + 32 = 0.
8/249, 1
Factor 2*u**5 + 36*u**4 + 142*u**3 + 148*u**2 - 120*u - 208.
2*(u - 1)*(u + 2)**3*(u + 13)
Factor -6*o**4/7 - 16*o**3/7 - 8*o**2/7.
-2*o**2*(o + 2)*(3*o + 2)/7
Solve 4*w**5 + 52*w**4 + 88*w**3 - 8*w**2 - 92*w - 44 = 0 for w.
-11, -1, 1
Factor -15069223*q**3 - 732108*q**2 - 11856*q - 64.
-(247*q + 4)**3
Determine v so that -v**2/5 - 1406*v/5 - 281 = 0.
-1405, -1
Factor -4*w**3 - 164*w**2 + 356*w + 516.
-4*(w - 3)*(w + 1)*(w + 43)
Suppose -k**5 - 2*k**4 + k**3 + 2*k**2 = 0. Calculate k.
-2, -1, 0, 1
Determine d, given that 4*d**3/9 + 4*d**2 - 28*d/3 + 44/9 = 0.
-11, 1
Let -5*j**4 + 100*j**3 - 355*j**2 - 400*j + 1500 = 0. What is j?
-2, 2, 5, 15
Determine j so that -2*j**4 + 20*j**3 - 72*j**2 + 108*j - 54 = 0.
1, 3
Determine y so that -126*y**4 - 960*y**3 - 7928*y**2/7 + 3776*y/7 - 384/7 = 0.
-6, -2, 4/21
Suppose 15*p**5 + 70*p**4 + 85*p**3 + 30*p**2 = 0. What is p?
-3, -1, -2/3, 0
Find y, given that 4289041*y**2 - 8284*y + 4 = 0.
2/2071
Find a such that -3*a**3/2 + 31*a**2/2 + 11*a = 0.
-2/3, 0, 11
Factor -2*c**3 + 24*c**2 + 390*c + 1100.
-2*(c - 22)*(c + 5)**2
Determine i so that 3*i**2 + 12*i - 15 = 0.
-5, 1
Suppose -2*c**2 - 1512*c - 285768 = 0. What is c?
-378
What is j in -4*j**2 + 292*j = 0?
0, 73
Factor -2*c**3/7 + 604*c**2/7 - 45602*c/7.
-2*c*(c - 151)**2/7
Suppose 4*t**2/3 - 220*t = 0. Calculate t.
0, 165
Factor -3*m**2 + 129*m + 132.
-3*(m - 44)*(m + 1)
Solve b**4/5 + 33*b**3/5 + 253*b**2/5 - 357*b/5 - 578/5 = 0 for b.
-17, -1, 2
Find k such that -4*k**4 + k**3 + 12*k**2 + 5*k - 2 = 0.
-1, 1/4, 2
Factor 2*d**5 + 20*d**4 + 64*d**3 + 64*d**2.
2*d**2*(d + 2)*(d + 4)**2
Let -3*a**4 + 42*a**3 + 96*a**2 = 0. What is a?
-2, 0, 16
Solve 3*g**5/7 + 9*g**4/7 - 2514*g**3/7 - 7566*g**2/7 - 7569*g/7 - 2523/7 = 0 for g.
-29, -1, 29
Factor t**4/3 - 2*t**3/3 - 7*t**2/3 + 20*t/3 - 4.
(t - 2)**2*(t - 1)*(t + 3)/3
Suppose -c**5/7 + 23*c**4/7 + 108*c**3/7 + 16*c**2/7 - 416*c/7 - 432/7 = 0. Calculate c.
-2, 2, 27
Solve 10*x**5 + 124*x**4 + 318*x**3 + 68*x**2 - 376*x - 144 = 0.
-9, -2, -2/5, 1
Determine l, given that -2*l**2/3 - 640*l/3 - 51200/3 = 0.
-160
Factor -j**3 + 591*j**2 + 1185*j + 593.
-(j - 593)*(j + 1)**2
Solve 6*y**3 - 6105*y**2 + 15231*y - 6090 = 0.
1/2, 2, 1015
Factor 3*d**3/4 - 45*d**2/4 + 81*d/4 - 39/4.
3*(d - 13)*(d - 1)**2/4
Factor -22*g**4 + 62*g**3 + 12*g**2.
-2*g**2*(g - 3)*(11*g + 2)
Factor 3*r**2/4 + 177*r/4 + 165.
3*(r + 4)*(r + 55)/4
Determine a so that -2*a**5/19 - 16*a**4/19 - 26*a**3/19 - 12*a**2/19 = 0.
-6, -1, 0
Solve -4*l**5 + 24*l**4 + 908*l**3 + 3936*l**2 + 5936*l + 2880 = 0.
-9, -2, -1, 20
Suppose -2*l**5/5 - 16*l**4/5 - 48*l**3/5 - 64*l**2/5 - 32*l/5 = 0. Calculate l.
-2, 0
Factor 6*x**2 + 80*x - 56.
2*(x + 14)*(3*x - 2)
Let -3*k**5 - 108*k**4 - 102*k**3 + 108*k**2 + 105*k = 0. Calculate k.
-35, -1, 0, 1
Factor 5*r**4 + 2930*r**3 + 573300*r**2 + 37644750*r + 37074375.
5*(r + 1)*(r + 195)**3
Factor 2*p**3/5 + 2*p**2/5 - 52*p/5 + 48/5.
2*(p - 4)*(p - 1)*(p + 6)/5
Factor 2*g**3 - 978*g**2 + 119070*g + 120050.
2*(g - 245)**2*(g + 1)
Determine s, given that -3*s**2/7 + 1524*s/7 - 1521/7 = 0.
1, 507
Factor 4*t**2 + 200*t - 3276.
4*(t - 13)*(t + 63)
Let -5*m**2 - 720*m = 0. What is m?
-144, 0
Suppose 3*w**3/4 + 3*w**2 = 0. Calculate w.
-4, 0
Determine p so that -4*p**3 + 38*p**2 + 20*p 