-1408, -2
Factor 4*y**2/9 - 140*y/9 - 208/3.
4*(y - 39)*(y + 4)/9
Factor -21*m**2 - 1872*m + 1620.
-3*(m + 90)*(7*m - 6)
Solve -d**2 + 1514*d - 573049 = 0 for d.
757
Find i, given that 4*i**2 + 708*i - 712 = 0.
-178, 1
What is y in -21*y**5/5 + 192*y**4 - 9804*y**3/5 - 27072*y**2/5 - 6912*y/5 = 0?
-2, -2/7, 0, 24
Factor -2*a**2 - 5884*a - 4327682.
-2*(a + 1471)**2
Find n such that n**2 + 10*n = 0.
-10, 0
Factor 2*i**4 - 6*i**3 - 36*i**2.
2*i**2*(i - 6)*(i + 3)
Find c such that 16*c**4/3 - 28*c**3/3 - 20*c**2/3 + 8*c = 0.
-1, 0, 3/4, 2
What is f in f**5/3 + 2*f**4/3 - 8*f**3/3 - 16*f**2/3 + 16*f/3 + 32/3 = 0?
-2, 2
What is d in -5*d**3 - 170*d**2 - 1445*d = 0?
-17, 0
Factor 5*y**3 - 30*y**2 + 45*y - 20.
5*(y - 4)*(y - 1)**2
Factor 2*g**2/11 - 392*g/11 + 1536/11.
2*(g - 192)*(g - 4)/11
Factor -2*z**3/3 - 8*z**2/3 + 8*z/3 + 32/3.
-2*(z - 2)*(z + 2)*(z + 4)/3
Factor -4*l**2 - 592*l + 596.
-4*(l - 1)*(l + 149)
Determine s so that 41*s**5 - 244*s**4 + 193*s**3 + 502*s**2 + 24*s = 0.
-1, -2/41, 0, 3, 4
Let -s**4/3 - 20*s**3/3 - 35*s**2/3 + 20*s/3 + 12 = 0. What is s?
-18, -2, -1, 1
What is d in 2*d**4 - 37*d**3 + 91*d**2 + 781*d + 363 = 0?
-3, -1/2, 11
Solve 4*p**5/5 + 20*p**4 + 748*p**3/5 + 1452*p**2/5 = 0.
-11, -3, 0
Let -3*f**5/5 + 9*f**4 - 108*f**3/5 - 12*f**2/5 + 144*f/5 = 0. What is f?
-1, 0, 2, 12
Suppose -s**2/5 - 66*s/5 = 0. What is s?
-66, 0
Factor -3*r**4 - 24*r**3 - 57*r**2 - 36*r.
-3*r*(r + 1)*(r + 3)*(r + 4)
Find c such that -9*c**5/5 + 48*c**4/5 + 99*c**3/5 + 42*c**2/5 = 0.
-1, -2/3, 0, 7
What is s in -s**2 - 71*s - 1128 = 0?
-47, -24
Determine y, given that -5*y**4 + 35*y**3 - 80*y**2 + 60*y = 0.
0, 2, 3
Factor 3*n**4/2 - 45*n**3/2 + 12*n**2 + 126*n.
3*n*(n - 14)*(n - 3)*(n + 2)/2
What is b in -3*b**4/4 + 15*b**3 = 0?
0, 20
Determine l, given that -3*l**3/2 + 26*l**2 + 225*l/2 + 63 = 0.
-3, -2/3, 21
Determine p so that -p**2 - 478*p + 960 = 0.
-480, 2
Factor 2*o**2/9 + 8*o/9 - 40/3.
2*(o - 6)*(o + 10)/9
Let -4*b**3 + 2688*b**2 + 4*b - 2688 = 0. What is b?
-1, 1, 672
Let -2*q**4 - 198*q**3 = 0. Calculate q.
-99, 0
Factor -3*v**4/7 + 12*v**3/7 + 57*v**2/7 + 6*v.
-3*v*(v - 7)*(v + 1)*(v + 2)/7
Suppose -5*p**3/2 + 420*p**2 + 1695*p/2 + 425 = 0. What is p?
-1, 170
Determine f so that 2*f**4 + 44*f**3 + 120*f**2 - 1612*f - 1690 = 0.
-13, -1, 5
Determine u so that u**5/2 - u**4 - 7*u**3/2 + 4*u**2 + 6*u = 0.
-2, -1, 0, 2, 3
Let -5*u**2 + 5*u + 100 = 0. Calculate u.
-4, 5
Find g such that -4*g**2/3 + 146*g/3 + 76 = 0.
-3/2, 38
Factor -o**2/11 + 146*o/11.
-o*(o - 146)/11
Factor 2*g**2/9 + 248*g/9 - 254/3.
2*(g - 3)*(g + 127)/9
Solve 2*t**2/7 - 20520*t/7 + 52633800/7 = 0.
5130
Determine q, given that -2*q**2/15 + 28*q/5 = 0.
0, 42
Find g such that -4*g**5 + 580*g**4 - 21312*g**3 + 20736*g**2 = 0.
0, 1, 72
Factor 2*h**3/7 + 18*h**2/7 + 48*h/7 + 32/7.
2*(h + 1)*(h + 4)**2/7
What is a in 3*a**2 - 1812*a + 273612 = 0?
302
Factor j**2 + j - 42.
(j - 6)*(j + 7)
Factor -a**4/6 - 5*a**3/6 - 7*a**2/6 - a/2.
-a*(a + 1)**2*(a + 3)/6
Factor -4*h**4 + 4*h**3 + 40*h**2 + 32*h.
-4*h*(h - 4)*(h + 1)*(h + 2)
Suppose 45*o**3 - 1250*o**2 + 5660*o + 1320 = 0. Calculate o.
-2/9, 6, 22
Find j, given that -j**3/8 + 21*j**2/8 + 12*j - 352 = 0.
-11, 16
What is g in 3*g**4 - 21*g**3 - 93*g**2 + 21*g + 90 = 0?
-3, -1, 1, 10
Let -g**5/3 - 7*g**4/3 - 17*g**3/3 - 17*g**2/3 - 2*g = 0. Calculate g.
-3, -2, -1, 0
Factor -16928*j**2 + 184*j - 1/2.
-(184*j - 1)**2/2
Factor 2*d**4/3 - 194*d**3 + 18818*d**2 - 1825346*d/3.
2*d*(d - 97)**3/3
Factor 2*l**2 + 44*l - 96.
2*(l - 2)*(l + 24)
Suppose p**4 - 155*p**3 - 157*p**2 + 155*p + 156 = 0. Calculate p.
-1, 1, 156
Find h such that -2*h**2/3 + 2*h/3 + 4/3 = 0.
-1, 2
Find q, given that q**2/8 + 7*q + 27/2 = 0.
-54, -2
Factor 4*v**4 - 28*v**3 - 48*v**2 + 704*v - 1280.
4*(v - 4)**3*(v + 5)
Solve -g**3 - 46*g**2 + 416*g - 864 = 0.
-54, 4
Solve -5*f**4 - 105*f**3 + 1075*f**2 - 2415*f + 1450 = 0.
-29, 1, 2, 5
Solve w**5/4 + 12*w**4 + 56*w**3 + 197*w**2/2 + 303*w/4 + 43/2 = 0 for w.
-43, -2, -1
Suppose -4*u**4 + 64*u**3 - 192*u**2 = 0. What is u?
0, 4, 12
Factor h**4/7 + 9*h**3/7 + 22*h**2/7 - 32/7.
(h - 1)*(h + 2)*(h + 4)**2/7
Factor 4*i**2/5 + 636*i/5 - 128.
4*(i - 1)*(i + 160)/5
Factor d**5 + 12*d**4 + 51*d**3 + 88*d**2 + 48*d.
d*(d + 1)*(d + 3)*(d + 4)**2
Let -2*z**4/3 - 128*z**3/3 - 2048*z**2/3 = 0. Calculate z.
-32, 0
Factor 3*a**3/7 - 29*a**2/7 + 6*a - 16/7.
(a - 8)*(a - 1)*(3*a - 2)/7
Find r such that -2*r**3 + 30*r**2 + 2*r - 30 = 0.
-1, 1, 15
Factor -35*k**5/2 + 185*k**4 - 100*k**3.
-5*k**3*(k - 10)*(7*k - 4)/2
Determine g, given that 2*g**2 + 104*g + 1064 = 0.
-38, -14
Factor 2*k**2/15 + 446*k/15 + 148/5.
2*(k + 1)*(k + 222)/15
Let -3*c**2 + 999*c = 0. Calculate c.
0, 333
Factor -3*s**5 - 81*s**4 + 261*s**3 - 267*s**2 + 90*s.
-3*s*(s - 1)**3*(s + 30)
Factor -2*s**3 + 4*s**2 + 6*s.
-2*s*(s - 3)*(s + 1)
Find o, given that -6*o**2/7 + 11082*o/7 - 11076/7 = 0.
1, 1846
Let 5*q**5 - 2402*q**4 + 384960*q**3 - 20633600*q**2 + 8192000*q = 0. What is q?
0, 2/5, 160
Suppose -6*f**5/5 + 8*f**4/5 + 2*f**3/5 - 4*f**2/5 = 0. Calculate f.
-2/3, 0, 1
Factor 3*c**2/2 - 456*c + 34656.
3*(c - 152)**2/2
Determine y so that y**5/7 - 86*y**4/7 + 79*y**3/7 + 514*y**2/7 - 332*y/7 - 680/7 = 0.
-2, -1, 2, 85
Factor -55*u**3 + 65*u**2 + 100*u - 20.
-5*(u - 2)*(u + 1)*(11*u - 2)
Factor 4*c**2 - 27112*c + 45941284.
4*(c - 3389)**2
Let -r**4/4 - 13*r**3/2 - 141*r**2/4 + 91*r - 49 = 0. What is r?
-14, 1
Find o such that 4*o**4 + 8*o**3 - 4*o**2 - 8*o = 0.
-2, -1, 0, 1
Suppose 2*q**3/3 - 16*q**2/3 - 22*q/3 + 12 = 0. What is q?
-2, 1, 9
Factor -t**3 - 16*t**2/3 - 20*t/3.
-t*(t + 2)*(3*t + 10)/3
Let -2*n**3/7 + 26*n**2/7 + 18*n/7 - 810/7 = 0. What is n?
-5, 9
Factor -2*p**4/19 + 128*p**3/19 + 264*p**2/19.
-2*p**2*(p - 66)*(p + 2)/19
Factor -z**2/2 - 35*z/2 + 37.
-(z - 2)*(z + 37)/2
Solve -c**4 - 56*c**3 - 450*c**2 - 1296*c - 1269 = 0 for c.
-47, -3
Factor y**4/4 - 15*y**3/4 + 7*y**2/2.
y**2*(y - 14)*(y - 1)/4
Factor 2*y**4 - 36*y**3 + 120*y**2 - 112*y.
2*y*(y - 14)*(y - 2)**2
Let k**5 - 5*k**4 - 14*k**3 - 2*k**2 + 13*k + 7 = 0. Calculate k.
-1, 1, 7
Factor p**4/6 + 176*p**3 + 69696*p**2 + 12266496*p + 809588736.
(p + 264)**4/6
Factor 2*z**3 - 562*z**2 + 39760*z - 39200.
2*(z - 140)**2*(z - 1)
Find d such that -2*d**5 - 56*d**4/3 - 44*d**3 + 16*d**2/3 + 46*d + 40/3 = 0.
-5, -4, -1, -1/3, 1
Factor -5*t**2 - 90*t + 875.
-5*(t - 7)*(t + 25)
Factor -p**2 - 508*p + 509.
-(p - 1)*(p + 509)
Factor z**5 + 67*z**4 - 137*z**3 + 69*z**2.
z**2*(z - 1)**2*(z + 69)
Let -21*j**3 - 1350*j**2 - 384*j = 0. What is j?
-64, -2/7, 0
Factor 3*w**2/5 - 372*w/5 + 369/5.
3*(w - 123)*(w - 1)/5
Solve 15*l**3 + 984*l**2 + 3324*l - 1488 = 0.
-62, -4, 2/5
Determine j so that j**2/4 - 9*j/4 - 45/2 = 0.
-6, 15
Factor -p**3/4 - 19*p**2/4 + 21*p/2.
-p*(p - 2)*(p + 21)/4
Factor 5*h**3 - 920*h**2 + 45760*h - 309760.
5*(h - 88)**2*(h - 8)
What is o in 4*o**3/5 - 44*o**2/5 - 56*o/5 + 96/5 = 0?
-2, 1, 12
Solve 2*w**5/5 - 14*w**4/5 - 42*w**3/5 + 54*w**2/5 = 0.
-3, 0, 1, 9
What is g in 4*g**3 - 76*g**2 - 180*g + 252 = 0?
-3, 1, 21
Factor n**3/4 - n**2/4 - 33*n/4 - 63/4.
(n - 7)*(n + 3)**2/4
Solve b**5/4 - 21*b**4/4 + 39*b**3/4 - 19*b**2/4 = 0.
0, 1, 19
Factor 4225*i**3 - 12415*i**2 - 776*i - 12.
(i - 3)*(65*i + 2)**2
Solve 2*j**3/3 + 16*j**2/3 + 14*j + 12 = 0.
-3, -2
Factor 3*t**2/8 + 213*t/8.
3*t*(t + 71)/8
Let 2*x**3 - 1404*x**2 + 328536*x - 25625808 = 0. Calculate x.
234
Factor -2*k**2 + 46*k + 48.
-2*(k - 24)*(k + 1)
Find f such that -9*f**3 + 11*f**2 - 2*f = 0.
0, 2/9, 1
Determine c, given that 3*c**2/2 + 318*c + 630 = 0.
-210, -2
Determine c so that 2*c**5/3 - 8*c**4 + 98*c**3/3 - 60*c**2 + 152*c/3 - 16 = 0.
1, 2, 6
Suppose 4*r**2 + 1200*r + 90000 = 0. What is r?
-150
Factor -9*h**2 + 3*h + 6.
-3*(h - 1)*(3*h + 2)
Factor -3*a**4 - 36*a**3 - 135*a**2 - 162*a.
-3*a*(a + 3)**2*(a + 6)
Factor q**4 + 4*q**3 - 53*q**2 - 24*q + 432.
(q - 4)**2*(q + 3)*(q + 9)
Determine g so that g**3/6 - 7*g**2/6 + 8*g/3 - 2 = 0.
2, 3
Let 4*t**5 + 20*t**4/7 - 624*t**3/7 + 1408*t**2/7 - 1024*t/7 + 192/7 = 0. Calculate t.
-6, 2/7, 1, 2
What is z in z**3/4 + z**2/4 - 9*z/4 - 9/4 = 0?
-3, -1, 3
Let -x**2 - 391*x + 392 = 0. What is x?
-392, 1
Factor -k**3/10 - 4*k**2 - 74*k/5 - 72/5.
-(k + 2)**2*(k + 36)/10
Factor r**2/3 + 