or 5*v**2 - 2090*v - 2095.
5*(v - 419)*(v + 1)
Factor 2*r**5 + 534*r**4 - 1076*r**3 + 4*r**2 + 1074*r - 538.
2*(r - 1)**3*(r + 1)*(r + 269)
Find g such that -25*g**2 - 55*g + 620 = 0.
-31/5, 4
Find k such that k**3 - 30*k**2 + 4000 = 0.
-10, 20
Factor -36*d**2 - 1696*d - 188.
-4*(d + 47)*(9*d + 1)
Solve r**4/9 - 2*r**3/9 - 5*r**2/9 + 2*r/3 = 0 for r.
-2, 0, 1, 3
Suppose -2*f**2/11 + 4*f/11 - 2/11 = 0. Calculate f.
1
Let 10*c**5 - 72*c**4 + 104*c**3 + 252*c**2 - 594*c + 108 = 0. What is c?
-2, 1/5, 3
Factor -j**3/10 + 459*j**2/10 + 693*j/5.
-j*(j - 462)*(j + 3)/10
Factor q**4 + 21*q**3 + 75*q**2 - 217*q + 120.
(q - 1)**2*(q + 8)*(q + 15)
Factor -r**4/3 - r**3/3 + 31*r**2/3 + 61*r/3 + 10.
-(r - 6)*(r + 1)**2*(r + 5)/3
Let -2*t**3 + 22*t**2 - 20*t = 0. Calculate t.
0, 1, 10
Solve -2*z**4 - 30*z**3 - 144*z**2 - 280*z - 192 = 0 for z.
-8, -3, -2
Solve 3*f**2 + 30*f = 0.
-10, 0
Factor -5*o**4/2 + 65*o**3/2 + 2535*o**2/2 - 54925*o/2 + 142805.
-5*(o - 13)**3*(o + 26)/2
Determine d so that -5*d**5 + 1470*d**4 - 2925*d**3 + 1460*d**2 = 0.
0, 1, 292
Factor -3*o**2 - 207*o.
-3*o*(o + 69)
Let 312*c**5/5 + 1852*c**4/5 + 2572*c**3/5 - 852*c**2/5 - 180*c + 216/5 = 0. What is c?
-3, -2/3, 3/13, 1/2
Find t, given that 2*t**3/7 + 426*t**2/7 + 22896*t/7 + 22472/7 = 0.
-106, -1
Suppose 5*q**4 - 50*q**3 + 180*q**2 - 270*q + 135 = 0. What is q?
1, 3
Let -900*k**4 - 3480*k**3 - 3124*k**2 + 464*k - 16 = 0. Calculate k.
-2, 1/15
Factor 3*q**4/5 - 3*q**3/5 - 18*q**2/5.
3*q**2*(q - 3)*(q + 2)/5
Suppose -3*c**4 + 81*c**3 - 483*c**2 - 81*c + 486 = 0. Calculate c.
-1, 1, 9, 18
Suppose -7*u**4 - 31*u**3 - 47*u**2 - 29*u - 6 = 0. Calculate u.
-2, -1, -3/7
Solve c**3/5 - 62*c**2/5 - c/5 + 62/5 = 0 for c.
-1, 1, 62
Factor -2*x**5 - 2*x**4 + 6*x**3 + 10*x**2 + 4*x.
-2*x*(x - 2)*(x + 1)**3
Factor -o**2/4 + 469*o/4 + 833.
-(o - 476)*(o + 7)/4
Suppose 80*n**3 - 875*n**2 + 1385*n + 90 = 0. Calculate n.
-1/16, 2, 9
Suppose -g**3/8 - g**2/8 + 9*g/8 + 9/8 = 0. Calculate g.
-3, -1, 3
Factor 4*w**3 + 328*w**2/7 + 212*w/7 - 88/7.
4*(w + 1)*(w + 11)*(7*w - 2)/7
Find u such that 2*u**2/9 + 4*u/3 - 182/9 = 0.
-13, 7
Suppose b**4/5 + 6*b**3/5 + b**2 - 12*b/5 = 0. What is b?
-4, -3, 0, 1
Find c, given that 2*c**5/5 + 8*c**4/5 - 6*c**3/5 - 36*c**2/5 = 0.
-3, 0, 2
Factor 3*f**3/2 - 531*f**2/2 + 31329*f/2 - 616137/2.
3*(f - 59)**3/2
What is c in 5*c**3/4 - 135*c**2/4 - 45*c/4 + 1215/4 = 0?
-3, 3, 27
What is l in l**3 - 8*l**2 + 21*l - 18 = 0?
2, 3
Determine r, given that r**3 + 8*r**2/3 - 68*r/3 + 80/3 = 0.
-20/3, 2
Find t, given that -5*t**2 - 775*t - 2280 = 0.
-152, -3
Factor c**3 - 85*c**2 - c + 85.
(c - 85)*(c - 1)*(c + 1)
Factor o**4/3 - 36*o**3 + 107*o**2/3.
o**2*(o - 107)*(o - 1)/3
Factor -f**3/4 + 159*f**2/4 - 8427*f/4 + 148877/4.
-(f - 53)**3/4
Factor -2*v**3/7 - 36*v**2/7 - 66*v/7 - 32/7.
-2*(v + 1)**2*(v + 16)/7
Factor -2*p**3/7 - 58*p**2/7 - 390*p/7 + 450/7.
-2*(p - 1)*(p + 15)**2/7
Let -6*f**5 + 279*f**4 - 3312*f**3 + 1587*f**2 = 0. What is f?
0, 1/2, 23
Find p, given that -p**4/4 + 25*p**3/4 - 93*p**2/2 + 56*p + 352 = 0.
-2, 8, 11
Determine k so that 2*k**3 + 3266*k**2 - 2*k - 3266 = 0.
-1633, -1, 1
Let -m**5/6 - 3*m**4/2 - 4*m**3 - 8*m**2/3 = 0. What is m?
-4, -1, 0
Determine m so that 294*m**5/13 + 2170*m**4/13 + 5396*m**3/13 + 5120*m**2/13 + 1600*m/13 = 0.
-20/7, -1, -2/3, 0
Suppose 5*b**4/6 + 10*b**3 - 155*b**2/6 - 35*b = 0. Calculate b.
-14, -1, 0, 3
Suppose z**2/3 - 623*z/3 = 0. Calculate z.
0, 623
Determine z so that -3*z**2/8 + 231*z/8 = 0.
0, 77
Suppose -3*k**2 - 35952*k - 107712192 = 0. Calculate k.
-5992
Factor -2*m**3 - 1420*m**2 + 2846*m - 1424.
-2*(m - 1)**2*(m + 712)
Factor 2*b**4 - 64*b**3 + 380*b**2 - 768*b + 450.
2*(b - 25)*(b - 3)**2*(b - 1)
Factor -3*r**3 + 36*r**2 + 3*r - 36.
-3*(r - 12)*(r - 1)*(r + 1)
What is x in -4*x**5 + 84*x**4 - 356*x**3 + 604*x**2 - 456*x + 128 = 0?
1, 2, 16
Factor 2*i**2/5 - 256*i/5 + 254/5.
2*(i - 127)*(i - 1)/5
Factor -3*q**2 + 126*q - 1323.
-3*(q - 21)**2
Factor -h**5/8 + 5*h**4/4 - 15*h**3/4 + 5*h**2 - 25*h/8 + 3/4.
-(h - 6)*(h - 1)**4/8
Solve 2*r**4/9 + 244*r**3/9 + 8138*r**2/9 + 14152*r/3 + 6728 = 0.
-58, -3
Factor -w**3 - w**2/10 + w/5.
-w*(2*w + 1)*(5*w - 2)/10
Suppose -w**3 + 6267*w**2 - 13091763*w + 9116230969 = 0. Calculate w.
2089
What is k in -6*k**4/7 + 44*k**3/7 - 110*k**2/7 + 104*k/7 - 24/7 = 0?
1/3, 2, 3
Find t, given that 2*t**4/11 - 70*t**3/11 + 18*t**2 - 194*t/11 + 64/11 = 0.
1, 32
Factor -3*q**4/5 - 276*q**3/5 - 162*q**2 - 804*q/5 - 267/5.
-3*(q + 1)**3*(q + 89)/5
Factor 2*m**3/7 - 2*m**2/7 - 68*m/7 - 16.
2*(m - 7)*(m + 2)*(m + 4)/7
Suppose -r**2 - 48*r + 265 = 0. What is r?
-53, 5
Factor w**4 + 24*w**3 - 25*w**2.
w**2*(w - 1)*(w + 25)
Let -2*s**2/7 - 164*s + 1150/7 = 0. What is s?
-575, 1
Solve 3*x**3/2 + 144*x**2 + 567*x/2 - 178605 = 0.
-63, 30
Factor 3*f**3 + 30*f**2 - 72*f.
3*f*(f - 2)*(f + 12)
Find j such that 50495236*j**2/7 + 56848*j/7 + 16/7 = 0.
-2/3553
Solve 2*p**2/3 - 10*p/3 - 4 = 0 for p.
-1, 6
Solve 2*w**3/3 + 470*w**2/3 - 796*w + 960 = 0 for w.
-240, 2, 3
Find k, given that 6*k**4 + 37*k**3 + 72*k**2 + 47*k + 6 = 0.
-3, -2, -1, -1/6
Let 2*g**4/13 + 2*g**3 + 64*g**2/13 + 40*g/13 = 0. Calculate g.
-10, -2, -1, 0
Factor 25*l**2 + 3610*l + 1440.
5*(l + 144)*(5*l + 2)
Factor -a**5/4 + 1253*a**4/2 - 2091673*a**3/4 + 145021547*a**2 + 291614356*a + 146069264.
-(a - 836)**3*(a + 1)**2/4
Factor -2*l**5/5 + 8*l**4 - 38*l**3/5.
-2*l**3*(l - 19)*(l - 1)/5
Find g such that -12*g**4 - 177*g**3 - 828*g**2 - 1572*g - 1056 = 0.
-8, -11/4, -2
Determine i so that i**2/4 - 9*i/4 = 0.
0, 9
Factor -2*l**4/17 + 98*l**3/17 - 96*l**2/17.
-2*l**2*(l - 48)*(l - 1)/17
Solve -4*h**5/3 - 220*h**4/3 + 244*h**3/3 + 1132*h**2/3 + 224*h = 0 for h.
-56, -1, 0, 3
Let 16*y**2 - 144*y + 324 = 0. Calculate y.
9/2
Let 4*k**2/7 + 164*k - 3480/7 = 0. What is k?
-290, 3
What is b in -8*b**2/13 - 250*b/13 + 192/13 = 0?
-32, 3/4
Factor 2*g**2 - 80*g - 82.
2*(g - 41)*(g + 1)
What is n in 36*n**4 - 1312*n**3 + 16128*n**2 - 69120*n + 27648 = 0?
4/9, 12
Factor -u**2/4 + 20*u + 81/4.
-(u - 81)*(u + 1)/4
Find p such that -p**4/9 + 16*p**3/9 - 47*p**2/9 - 100*p/9 + 44/3 = 0.
-2, 1, 6, 11
Let m**5/5 + 12*m**4/5 - 42*m**3/5 + 44*m**2/5 - 3*m = 0. What is m?
-15, 0, 1
Solve -2*q**2/15 - 26*q/15 + 136/15 = 0.
-17, 4
Solve -2*d**4/11 + 14*d**3/11 + 32*d**2/11 - 344*d/11 + 480/11 = 0 for d.
-5, 2, 4, 6
Solve -12*l**4 - 32*l**3 + 12*l**2 = 0.
-3, 0, 1/3
Determine a so that 2*a**4/7 - 172*a**3/7 - 894*a**2/7 - 1448*a/7 - 104 = 0.
-2, -1, 91
Determine n, given that 2*n**2/3 - 508*n/3 + 32258/3 = 0.
127
Suppose 2*a**3/3 + 4*a**2/3 - 2*a/3 - 4/3 = 0. What is a?
-2, -1, 1
Solve -2*n**5/5 - 6*n**4/5 + 8*n**2/5 = 0.
-2, 0, 1
Factor -4*t**5/3 + 146*t**4/3 - 600*t**3 + 2592*t**2 - 1152*t.
-2*t*(t - 12)**3*(2*t - 1)/3
Factor g**2/5 + 86*g/5 - 176/5.
(g - 2)*(g + 88)/5
Let 4*t**2 + 1068*t + 1064 = 0. What is t?
-266, -1
Let -24*p**5 - 50*p**4 + 14*p**3 = 0. What is p?
-7/3, 0, 1/4
Suppose -2*f**3/7 + 148*f**2/7 - 2880*f/7 + 5184/7 = 0. What is f?
2, 36
Find s such that 2*s**3 - 132*s**2 - 134*s = 0.
-1, 0, 67
Solve 2*a**4/7 + 250*a**3/7 - 254*a**2/7 - 250*a/7 + 36 = 0 for a.
-126, -1, 1
Factor -3*l**4/7 + 72*l**3 - 19056*l**2/7 - 25344*l - 371712/7.
-3*(l - 88)**2*(l + 4)**2/7
Suppose -2*l**5/13 + 12*l**4/13 + 40*l**3/13 - 48*l**2/13 - 128*l/13 = 0. Calculate l.
-2, 0, 2, 8
Suppose 2*b**3/11 + 126*b**2/11 - 266*b/11 - 390/11 = 0. What is b?
-65, -1, 3
What is k in -k**2 - 46*k - 529 = 0?
-23
Factor -u**5/3 - 4*u**4/3 - 5*u**3/3 - 2*u**2/3.
-u**2*(u + 1)**2*(u + 2)/3
Factor f**2/4 - 19*f/4 + 9/2.
(f - 18)*(f - 1)/4
Determine b so that -4*b**5 + 10*b**4 - 4*b**3 - 8*b**2 + 8*b - 2 = 0.
-1, 1/2, 1
Factor 2*w**2 - 108*w + 1458.
2*(w - 27)**2
Factor 4*j**3/7 + 92*j**2/7 + 216*j/7 - 2592/7.
4*(j - 4)*(j + 9)*(j + 18)/7
Suppose 3*w**2/2 - 96*w + 186 = 0. What is w?
2, 62
Factor -h**3/2 + 19*h**2 + 40*h.
-h*(h - 40)*(h + 2)/2
Factor s**2/2 + 3*s/2 + 1.
(s + 1)*(s + 2)/2
Factor -p**2/5 - p + 84/5.
-(p - 7)*(p + 12)/5
Determine u, given that -5*u**5 + 580*u**4 - 570*u**3 - 580*u**2 + 575*u = 0.
-1, 0, 1, 115
Factor 3*k**3 - 24921*k**2 + 69006249*k - 63692767827.
3*(k - 2769)**3
Factor -4*k**3 + 268*k**2 - 5452*k + 30276.
-4*(k - 29)**2*(k - 9)
Suppose -119*v**4/4 + 239*v**3/2 