94
Find p such that -2*p**3 + 244*p**2/3 + 2144*p/3 - 512 = 0.
-8, 2/3, 48
Determine q so that 6*q**5 - 8*q**4 - 32*q**3 - 4*q**2 + 26*q + 12 = 0.
-1, -2/3, 1, 3
Let 3*c**2/5 - 3*c/5 - 18 = 0. Calculate c.
-5, 6
Factor 4*j**5 + 60*j**4 + 108*j**3 - 972*j**2.
4*j**2*(j - 3)*(j + 9)**2
Factor 2*p**4 - 10*p**3 - 14*p**2 + 10*p + 12.
2*(p - 6)*(p - 1)*(p + 1)**2
Suppose -w**2 + 58*w - 165 = 0. Calculate w.
3, 55
Factor r**3/6 + 25*r**2/2 + 481*r/2 + 1369/6.
(r + 1)*(r + 37)**2/6
Factor 3*p**2 - 27*p - 66.
3*(p - 11)*(p + 2)
Find x such that -2*x**3/7 + 2*x**2/7 + 16*x/7 - 24/7 = 0.
-3, 2
Factor 3*x**4 - 207*x**3 + 5103*x**2 - 51597*x + 166698.
3*(x - 21)**3*(x - 6)
Determine s, given that 2*s**2 + 140*s + 138 = 0.
-69, -1
Find d, given that -4*d**2/7 - 456*d/7 - 452/7 = 0.
-113, -1
Suppose 2*q**3 - 1116*q**2/7 + 786*q/7 + 316/7 = 0. Calculate q.
-2/7, 1, 79
Factor 3*y**5 + 12*y**4 - 3*y**3 - 12*y**2.
3*y**2*(y - 1)*(y + 1)*(y + 4)
Factor -5*q**2 + 20*q + 25.
-5*(q - 5)*(q + 1)
Let -s**3/3 - 2*s**2/3 + 40*s/3 - 64/3 = 0. Calculate s.
-8, 2, 4
Factor -y**3/8 - 3*y**2/2 - 45*y/8 - 25/4.
-(y + 2)*(y + 5)**2/8
Factor 4*h**2 - 116*h + 816.
4*(h - 17)*(h - 12)
Let 2*l**2/3 - 128*l/3 + 896/3 = 0. What is l?
8, 56
Find s such that 2*s**4/5 + 4*s**3 - 86*s**2/5 - 104*s/5 = 0.
-13, -1, 0, 4
Factor -7*i**3/2 - 10*i**2 - 6*i.
-i*(i + 2)*(7*i + 6)/2
Factor -4*y**3/7 + 8*y**2/7 + 4*y/7 - 8/7.
-4*(y - 2)*(y - 1)*(y + 1)/7
Solve 2*u**4 - 14*u**2 - 12*u = 0.
-2, -1, 0, 3
Factor 3*u**4 + 108*u**3 - 351*u**2.
3*u**2*(u - 3)*(u + 39)
Factor -2*o**2/13 + 5456*o/13 - 3720992/13.
-2*(o - 1364)**2/13
Find c, given that 2*c**4/9 + 232*c**3/9 + 2392*c**2/3 + 25984*c/9 + 25088/9 = 0.
-56, -2
Factor -s**3 - 15*s**2 + 162*s + 176.
-(s - 8)*(s + 1)*(s + 22)
Factor -2*k**4 + 44*k**3 + 46*k**2.
-2*k**2*(k - 23)*(k + 1)
Suppose 8*m**2/7 + 15*m/7 = 0. Calculate m.
-15/8, 0
Solve -d**5/5 + 32*d**4/5 - 388*d**3/5 + 434*d**2 - 5243*d/5 + 686 = 0.
1, 7, 10
Factor -r**4/6 + r**3/6 + 2*r**2 - 14*r/3 + 8/3.
-(r - 2)**2*(r - 1)*(r + 4)/6
Let 4*o**4 - 24*o**3 - 332*o**2 + 2688*o - 3920 = 0. What is o?
-10, 2, 7
Factor -2*j**4 - 52*j**3 + 56*j**2 + 52*j - 54.
-2*(j - 1)**2*(j + 1)*(j + 27)
Suppose 2*u**4/7 + 26*u**3/7 - 2*u**2 - 194*u/7 - 156/7 = 0. What is u?
-13, -2, -1, 3
Suppose -3*m**4 + 146*m**3 + 205*m**2 - 248*m - 100 = 0. What is m?
-2, -1/3, 1, 50
Determine n so that 3*n**5/4 - 19*n**4/4 + 3*n**3/4 + 19*n**2/4 - 3*n/2 = 0.
-1, 0, 1/3, 1, 6
Determine t so that -2*t**2 + 24*t = 0.
0, 12
Solve 13*v**2/4 - 81*v = 0 for v.
0, 324/13
Solve -v**5/6 + v**4/2 - 2*v**2/3 = 0 for v.
-1, 0, 2
Determine t so that -t**4/3 + 2*t**3/3 + 11*t**2/3 - 4*t - 12 = 0.
-2, 3
Factor -k**3 - 87*k**2 - 170*k.
-k*(k + 2)*(k + 85)
Find o, given that -2*o**5 + 30*o**4 + 82*o**3 - 246*o**2 + 136*o = 0.
-4, 0, 1, 17
Factor 2*t**3 - 28*t**2 + 26*t.
2*t*(t - 13)*(t - 1)
Factor 2*n**3/3 + 4*n**2/3 - 10*n/3 - 4.
2*(n - 2)*(n + 1)*(n + 3)/3
Let -3*f**4 - 15*f**3 + 66*f**2 - 48*f = 0. Calculate f.
-8, 0, 1, 2
Factor -2*t**3 + 28*t**2 - 26*t.
-2*t*(t - 13)*(t - 1)
Let 2*u**3/7 + 62*u**2/7 + 60*u/7 = 0. What is u?
-30, -1, 0
Suppose -25*x**2 - 45*x + 10 = 0. Calculate x.
-2, 1/5
What is v in 2*v**3 - 42*v**2 + 172*v - 192 = 0?
2, 3, 16
Suppose 75*h**5/8 + 20*h**4 + 117*h**3/8 + 9*h**2/2 + h/2 = 0. Calculate h.
-1, -2/5, -1/3, 0
Suppose -10*a**4/13 - 74*a**3/13 - 128*a**2/13 - 40*a/13 = 0. Calculate a.
-5, -2, -2/5, 0
What is g in 5*g**4 - 800*g**3 = 0?
0, 160
Find v such that 4*v**5 + 44*v**4 - 692*v**3 + 2868*v**2 - 4896*v + 3024 = 0.
-21, 2, 3
Determine u, given that -4*u**3 + 56*u**2 + 540*u + 1008 = 0.
-4, -3, 21
Factor -7*m**3/6 - 1114*m**2/3 - 2855*m/6 - 317/3.
-(m + 1)*(m + 317)*(7*m + 2)/6
Factor -5*m**2 + 300*m - 2695.
-5*(m - 49)*(m - 11)
Let -5*h**3 + 125*h**2 - 360*h - 1260 = 0. What is h?
-2, 6, 21
Solve 2*d**3/9 - 94*d**2/9 - 418*d/9 + 170/3 = 0 for d.
-5, 1, 51
Factor -4*m**2 - 3224*m - 9636.
-4*(m + 3)*(m + 803)
Solve 3*q**4 + 60*q**3 + 300*q**2 = 0.
-10, 0
Solve -a**2/5 - 66*a/5 - 1089/5 = 0.
-33
Factor -c**4 - 7*c**3 - 5*c**2 + 7*c + 6.
-(c - 1)*(c + 1)**2*(c + 6)
Suppose -l**5 - 119*l**4 - 5662*l**3 - 134642*l**2 - 1600225*l - 7604375 = 0. Calculate l.
-25, -23
Factor 3*p**3/2 + 39*p**2/2 + 54*p.
3*p*(p + 4)*(p + 9)/2
Factor 5*f**3/4 + 105*f**2/2 + 195*f + 190.
5*(f + 2)**2*(f + 38)/4
Let 3*p**3 - 390*p**2 + 12675*p = 0. Calculate p.
0, 65
Factor -4*y**3/9 + 2*y**2/3 + 16*y/9 + 2/3.
-2*(y - 3)*(y + 1)*(2*y + 1)/9
Find b such that 2*b**4 + 24*b**3/5 - 1542*b**2/5 - 436*b - 624/5 = 0.
-13, -1, -2/5, 12
Suppose -4*c**3/5 + 24*c**2/5 + 128*c = 0. What is c?
-10, 0, 16
Factor 79*f**4 + 476*f**3 + 960*f**2 + 656*f + 16.
(f + 2)**3*(79*f + 2)
Factor -x**2/3 - 209*x/3 + 1070/3.
-(x - 5)*(x + 214)/3
Find b such that -b**4/4 - b**3/2 + b**2/4 + b/2 = 0.
-2, -1, 0, 1
Solve -w**5/4 - w**4/4 + 5*w**3/4 + 5*w**2/4 - w - 1 = 0 for w.
-2, -1, 1, 2
Let 3*p**4 - 31*p**3/3 - 124*p**2/3 - 28*p = 0. Calculate p.
-14/9, -1, 0, 6
Factor -2*v**3/21 + 130*v**2/21 + 544*v/21 + 184/7.
-2*(v - 69)*(v + 2)**2/21
Factor -i**5/3 + 91*i**4 - 1082*i**3/3 + 1618*i**2/3 - 359*i + 269/3.
-(i - 269)*(i - 1)**4/3
Find d such that -d**2/3 - 239*d/3 + 80 = 0.
-240, 1
Factor -3*i**3/2 + 9*i**2/2 - 3*i.
-3*i*(i - 2)*(i - 1)/2
Solve -3*z**5/8 - 21*z**4/8 - 33*z**3/8 - 15*z**2/8 = 0 for z.
-5, -1, 0
Factor 2*x**4/13 - 10*x**3/13 - 114*x**2/13 - 198*x/13.
2*x*(x - 11)*(x + 3)**2/13
Suppose -3*j**5 + 33*j**4/4 + 93*j**3/4 - 303*j**2/4 + 135*j/4 + 27/2 = 0. What is j?
-3, -1/4, 1, 2, 3
Determine o so that 5*o**3 + 132*o**2 + 292*o + 96 = 0.
-24, -2, -2/5
Determine m, given that m**3/8 + 171*m**2/8 + 9747*m/8 + 185193/8 = 0.
-57
Find r such that -132*r**5/7 + 926*r**4/7 - 1990*r**3/7 + 170*r**2 + 6*r - 36/7 = 0.
-1/6, 2/11, 1, 3
Find x, given that -6*x**4 + 9*x**2/2 + 3*x/2 = 0.
-1/2, 0, 1
Factor h**3/2 - h**2 - h/2 + 1.
(h - 2)*(h - 1)*(h + 1)/2
Find f, given that -4*f**5/7 + 1136*f**4/7 + 2284*f**3/7 + 1144*f**2/7 = 0.
-1, 0, 286
Solve -3*j**3/8 + 69*j**2/8 - 33*j/4 = 0 for j.
0, 1, 22
Determine n so that 2*n**5/9 - 2*n**4/3 + 2*n**3/9 + 2*n**2/3 - 4*n/9 = 0.
-1, 0, 1, 2
Find p such that p**2/2 - 12*p = 0.
0, 24
Determine k, given that -2*k**5 - 72*k**4 - 278*k**3 + 7128*k**2 - 6776*k = 0.
-22, 0, 1, 7
Determine k, given that k**2/9 - 143*k/9 - 16 = 0.
-1, 144
Let 3*l**4 + 15*l**3 - 18*l**2 = 0. What is l?
-6, 0, 1
Solve 361*w**3/8 + 95*w**2 + 77*w/8 + 1/4 = 0 for w.
-2, -1/19
Find t such that -4*t**3 - 68*t**2 + 72*t = 0.
-18, 0, 1
What is t in 2*t**4 - 26*t**3 - 96*t**2 + 1720*t - 1600 = 0?
-8, 1, 10
Factor s**2/2 + 395*s/2 - 198.
(s - 1)*(s + 396)/2
Find b, given that -2*b**3/17 + 44*b**2/17 + 2026*b/17 + 1980/17 = 0.
-22, -1, 45
Factor i**2/2 - 244*i + 29768.
(i - 244)**2/2
Factor y**3/3 - 38*y**2/9 + 64*y/9.
y*(y - 2)*(3*y - 32)/9
Let -2*l**5/13 - 20*l**4/13 + 24*l**3/13 + 20*l**2/13 - 22*l/13 = 0. What is l?
-11, -1, 0, 1
Factor 2*d**3/3 + 8*d**2/3 - 2*d/3 - 8/3.
2*(d - 1)*(d + 1)*(d + 4)/3
Factor 3*h**3/2 + 27*h**2 + 144*h + 192.
3*(h + 2)*(h + 8)**2/2
Factor -3*x**4 - 3*x**3 + 6*x**2.
-3*x**2*(x - 1)*(x + 2)
Let 3*u**4/2 + 87*u**3/4 + 279*u**2/4 + 39*u/2 - 30 = 0. What is u?
-10, -4, -1, 1/2
Factor 3*m**3 - 444*m**2 - 2283*m - 1836.
3*(m - 153)*(m + 1)*(m + 4)
Determine b so that -2*b**3/3 + 2*b**2/3 + 1600*b/3 + 5632 = 0.
-16, 33
Factor 3*b**2/2 - 1578*b + 3150.
3*(b - 1050)*(b - 2)/2
Solve -2*x**3/3 + 2012*x**2 - 2024072*x + 2036216432/3 = 0.
1006
Let -2*y**4/3 - 178*y**3/3 + 362*y**2/3 - 182*y/3 = 0. What is y?
-91, 0, 1
Suppose -k**2/4 + 9*k/2 + 10 = 0. Calculate k.
-2, 20
Solve 2*v**4/3 - 44*v**3/3 - 46*v**2/3 = 0 for v.
-1, 0, 23
Determine t so that 4*t**5 - 244*t**4 + 436*t**3 + 2132*t**2 - 440*t - 1888 = 0.
-2, -1, 1, 4, 59
Suppose -4*m**4 + 60*m**3 + 12*m**2 - 172*m - 120 = 0. Calculate m.
-1, 2, 15
Determine b, given that b**2/4 - 503*b/2 + 253009/4 = 0.
503
Solve -v**3/4 + 843*v**2/4 - 178083*v/4 + 177241/4 = 0 for v.
1, 421
Factor 21*o**2/2 + 1329*o/4 + 837/4.
3*(o + 31)*(14*o + 9)/4
Determine p so that -94*p**3/13 + 1688*p**2/13 - 2936*p/13 - 128/13 = 0.
-2/47, 2, 16
Suppose -m**2/8 - 3*m/4 + 5 = 0. What is m?
-10, 4
Factor s**2 + 7*s + 12.
(s + 3)*(s + 4)
Factor 5*g**2 + 19*g/4 - 1/4.
(g + 1)*(20*g - 1)/4
Determine s so