058*f - 12108.
-2*(f - 3027)*(f - 2)
Determine k so that -27*k**3 - 42*k**2 + 240*k - 96 = 0.
-4, 4/9, 2
Solve -10*i**2/13 + 116*i/13 + 126/13 = 0 for i.
-1, 63/5
What is s in -5*s**3 + 9*s**2 - 24*s/5 + 4/5 = 0?
2/5, 1
Solve -t**3/7 + 372*t**2/7 - 53*t = 0 for t.
0, 1, 371
Factor 4*f**3 - 16*f**2 + 4*f + 24.
4*(f - 3)*(f - 2)*(f + 1)
Factor 44*w**4/9 + 652*w**3/9 - 40*w**2/3.
4*w**2*(w + 15)*(11*w - 2)/9
Suppose -3*n**4/7 - 3*n**3/7 + 3*n**2/7 + 3*n/7 = 0. Calculate n.
-1, 0, 1
Find h such that 2*h**3 - 406*h**2 + 20806*h - 20402 = 0.
1, 101
Determine p so that 5*p**4 - 15*p**3 - 45*p**2 + 115*p - 60 = 0.
-3, 1, 4
Factor -5*a**2 - 6725*a + 6730.
-5*(a - 1)*(a + 1346)
Determine x, given that 2*x**5/17 - 14*x**4/17 - 2*x**3/17 + 14*x**2/17 = 0.
-1, 0, 1, 7
Factor -8*y**2/5 - 30*y - 108/5.
-2*(y + 18)*(4*y + 3)/5
What is t in -2*t**5/5 + 42*t**4/5 - 30*t**3 - 722*t**2/5 - 816*t/5 - 288/5 = 0?
-1, 12
Factor -3*o**3 - 2679*o**2 - 599424*o - 596748.
-3*(o + 1)*(o + 446)**2
Factor -4*t**2 - 932*t.
-4*t*(t + 233)
Find t such that -t**4/10 + 13*t**3/5 + 57*t**2/10 - 13*t/5 - 28/5 = 0.
-2, -1, 1, 28
Factor -5000*w**4 + 14500*w**3 - 10350*w**2 + 2835*w - 270.
-5*(w - 2)*(10*w - 3)**3
Solve -2*o**4 + 66*o**3 + 6*o**2 - 202*o + 132 = 0.
-2, 1, 33
Factor k**2/3 + 23*k/3 + 14.
(k + 2)*(k + 21)/3
Factor 5*x**2 + 505*x - 2100.
5*(x - 4)*(x + 105)
What is c in -3*c**2 - 75*c - 138 = 0?
-23, -2
Determine k so that -5*k**2 + 90*k - 405 = 0.
9
Factor 4*h**2 - 6392*h + 2553604.
4*(h - 799)**2
Factor -20*p**2/3 + 89*p/3 - 80/3.
-(4*p - 5)*(5*p - 16)/3
Determine p so that -p**3/3 - 80*p**2/3 - 308*p/3 - 304/3 = 0.
-76, -2
Suppose t**3 - 15*t**2 + 72*t - 108 = 0. What is t?
3, 6
Let 2*i**2/11 + 10426*i/11 + 10424/11 = 0. What is i?
-5212, -1
Factor 10*d**3/11 - 48*d**2/11 + 32*d/11.
2*d*(d - 4)*(5*d - 4)/11
Let -9*m**4/5 - 11*m**3/5 + 21*m**2/5 + 39*m/5 + 16/5 = 0. Calculate m.
-1, 16/9
Factor -3*v**3 - 306*v**2 - 897*v - 594.
-3*(v + 1)*(v + 2)*(v + 99)
Factor -3*q**2/2 + 177*q/2 + 183.
-3*(q - 61)*(q + 2)/2
Suppose -21*f**4 + 111*f**3 - 114*f**2 + 24*f = 0. Calculate f.
0, 2/7, 1, 4
Find y such that -28*y**5/5 + 1203*y**4/5 - 215*y**3 - 2478*y**2/5 - 4*y/5 + 168/5 = 0.
-1, -2/7, 1/4, 2, 42
Factor -2*i**4/13 + 6*i**2/13 - 4*i/13.
-2*i*(i - 1)**2*(i + 2)/13
Factor -3*k**4 + 15*k**3 - 21*k**2 + 9*k.
-3*k*(k - 3)*(k - 1)**2
What is t in -2*t**5/3 + 24*t**4 - 442*t**3/3 + 1084*t**2/3 - 392*t + 464/3 = 0?
1, 2, 29
Let -4*c**4 + 16*c**3 - 64*c + 64 = 0. What is c?
-2, 2
Factor -c**3/10 + 7*c**2/10 - 11*c/10 + 1/2.
-(c - 5)*(c - 1)**2/10
Factor 3*o**4 - 39*o**3 + 33*o**2 + 39*o - 36.
3*(o - 12)*(o - 1)**2*(o + 1)
Factor -z**3/4 + z**2/4 + z/2.
-z*(z - 2)*(z + 1)/4
Factor -4*a**4/3 + 4*a**3/3 + 12*a**2 - 12*a.
-4*a*(a - 3)*(a - 1)*(a + 3)/3
Find t such that -12*t**5 + 196*t**4 - 928*t**3 + 1824*t**2 - 1472*t + 320 = 0.
1/3, 2, 10
Determine c so that 4*c**4 + 32*c**3 - 12*c**2 - 88*c + 64 = 0.
-8, -2, 1
Let -3*z**3 - 111*z**2 - 1320*z - 5100 = 0. What is z?
-17, -10
Factor -27*p**4 + 1203*p**3 - 17685*p**2 + 83025*p + 40500.
-3*(p - 15)**3*(9*p + 4)
Let 75*h**4 - 1410*h**3 - 333*h**2 + 924*h - 228 = 0. What is h?
-1, 2/5, 19
Solve h**4/3 - h**3 + 2*h**2/3 = 0.
0, 1, 2
Find l such that 3*l**2 + 8478*l + 5989707 = 0.
-1413
Factor o**2 + 213*o - 430.
(o - 2)*(o + 215)
Find v, given that 735*v**4 - 1659*v**3/2 - 1095*v**2 - 354*v - 36 = 0.
-3/10, -2/7, 2
Factor -c**5 - 28*c**4 - 165*c**3 + 450*c**2.
-c**2*(c - 2)*(c + 15)**2
Let -2*h**2/7 + 522*h/7 = 0. Calculate h.
0, 261
Find r such that 13*r**4 + 258*r**3 + 1585*r**2 + 3000*r - 500 = 0.
-10, -5, 2/13
Let -l**4 + 14*l**3 - 25*l**2 + 12*l = 0. Calculate l.
0, 1, 12
Let x**5/5 - 29*x**4/5 + 69*x**3/5 + 229*x**2/5 + 26*x = 0. What is x?
-1, 0, 5, 26
Factor 2*j**3/3 - 316*j**2/3 + 206*j + 312.
2*(j - 156)*(j - 3)*(j + 1)/3
Let o**4/3 + 13*o**3/3 - 21*o**2 + 83*o/3 - 34/3 = 0. What is o?
-17, 1, 2
Let -2*l**4/11 - 2520*l**3/11 + 5046*l**2/11 - 2524*l/11 = 0. What is l?
-1262, 0, 1
Determine g so that 4*g**4 - 516*g**3 - 1572*g**2 - 1580*g - 528 = 0.
-1, 132
Find r, given that 2*r**5 - 84*r**4 + 882*r**3 = 0.
0, 21
What is x in 4*x**2/3 + 64*x/3 - 68/3 = 0?
-17, 1
Factor -h**3/3 + 388*h**2 - 112908*h.
-h*(h - 582)**2/3
Determine c so that 118*c**3 - 232*c**2 + 110*c + 4 = 0.
-2/59, 1
Suppose 2*u**3/19 - 84*u**2/19 + 162*u/19 - 80/19 = 0. What is u?
1, 40
Suppose -5*p**5 - 120*p**4 - 790*p**3 - 840*p**2 + 1755*p = 0. Calculate p.
-13, -9, -3, 0, 1
Determine z so that 3*z**3 + 210*z**2 + 4899*z + 38088 = 0.
-24, -23
Solve -a**2 - 86*a + 455 = 0.
-91, 5
Suppose -2*i**5/5 + 16*i**3/5 - 32*i/5 = 0. Calculate i.
-2, 0, 2
Let 4*x**5 - 2696*x**4/7 + 67912*x**3/7 - 145520*x**2/7 + 97948*x/7 - 17672/7 = 0. What is x?
2/7, 1, 47
Factor 3*a**3/5 + 15*a**2 + 72*a/5.
3*a*(a + 1)*(a + 24)/5
Determine i so that 2*i**5/3 + 290*i**4/9 + 82*i**3/9 - 682*i**2/9 - 160*i/3 = 0.
-48, -1, 0, 5/3
Factor 5*m**3 - 30*m**2 - 45*m + 70.
5*(m - 7)*(m - 1)*(m + 2)
Determine u, given that -6*u**5 + 63*u**4 - 174*u**3 + 204*u**2 - 108*u + 21 = 0.
1/2, 1, 7
Factor -f**2/5 + 109*f.
-f*(f - 545)/5
Let 2*u**4 - 10*u**3 - 44*u**2 + 160*u + 192 = 0. What is u?
-4, -1, 4, 6
Factor 14*k**3 - 4378*k**2 + 3116*k + 1248.
2*(k - 312)*(k - 1)*(7*k + 2)
Factor 28*z**2/5 - 340*z - 488/5.
4*(z - 61)*(7*z + 2)/5
Factor 2*o**3/5 + 26*o**2/5 - 26*o + 102/5.
2*(o - 3)*(o - 1)*(o + 17)/5
Factor 2*j**4/5 + 36*j**3/5 + 194*j**2/5 + 288*j/5 + 128/5.
2*(j + 1)**2*(j + 8)**2/5
Factor 3*u**2/8 - 3*u + 9/2.
3*(u - 6)*(u - 2)/8
Suppose -2*q**5/7 - 68*q**4/7 + 42*q**3 - 376*q**2/7 + 152*q/7 = 0. What is q?
-38, 0, 1, 2
Factor -n**2/12 + 4*n/3 - 16/3.
-(n - 8)**2/12
What is t in 3*t**3/7 + 27*t**2/7 + 45*t/7 + 3 = 0?
-7, -1
Let -a**2 + 444*a - 1760 = 0. Calculate a.
4, 440
Solve z**3 + 92*z**2 + 2701*z + 24642 = 0 for z.
-37, -18
Solve -4*i**4 - 32*i**3 + 4*i**2 + 32*i = 0 for i.
-8, -1, 0, 1
Factor u**2/7 - 55*u/7 + 106/7.
(u - 53)*(u - 2)/7
Solve -f**4/4 + 9*f**3/4 + 35*f**2/2 = 0.
-5, 0, 14
Factor 4*p**2 + 696*p + 30276.
4*(p + 87)**2
Factor -4*z**3 - 92*z**2 - 320*z - 304.
-4*(z + 2)**2*(z + 19)
Factor j**2 - 377*j - 3870.
(j - 387)*(j + 10)
Find v, given that -46*v**5/5 + 646*v**4/5 - 2098*v**3/5 + 2482*v**2/5 - 1024*v/5 + 8 = 0.
1/23, 1, 2, 10
Find l, given that 3*l**4 - 33*l**3 + 126*l**2 - 192*l + 96 = 0.
1, 2, 4
Find x such that -3*x**5/4 + 19*x**4/2 - 125*x**3/4 - 5*x**2/2 + 57*x + 18 = 0.
-1, -1/3, 2, 6
Factor -5*w**5 - 550*w**4 - 21000*w**3 - 306250*w**2 - 1071875*w.
-5*w*(w + 5)*(w + 35)**3
Solve -j**3 + 48*j**2 = 0 for j.
0, 48
Factor r**2/11 - 598*r/11 + 89401/11.
(r - 299)**2/11
Factor 3*n**3 + 90*n**2 + 513*n + 690.
3*(n + 2)*(n + 5)*(n + 23)
Factor 2*x**2/9 - 4*x + 18.
2*(x - 9)**2/9
Factor -u**5 - 10*u**4 - 24*u**3 + 10*u**2 + 25*u.
-u*(u - 1)*(u + 1)*(u + 5)**2
Suppose 2*o**2/7 + 8*o/7 + 8/7 = 0. Calculate o.
-2
Factor 92*v**4 - 1480*v**3 + 6016*v**2 - 512*v.
4*v*(v - 8)**2*(23*v - 2)
Suppose 2*q**4/19 - 8*q**3/19 - 262*q**2/19 - 252*q/19 = 0. Calculate q.
-9, -1, 0, 14
Factor -3*b**3 - 9*b**2 + 540*b.
-3*b*(b - 12)*(b + 15)
Find y such that 3*y**5/2 - 156*y**4 + 11019*y**3/2 - 69513*y**2 + 123114*y - 58956 = 0.
1, 34
Solve r**3/5 + 12*r**2/5 - 99*r/5 - 238/5 = 0 for r.
-17, -2, 7
Suppose 5*g**5 + 30*g**4 - 80*g**3 + 10*g**2 + 75*g - 40 = 0. Calculate g.
-8, -1, 1
Determine c so that -2*c**4/5 - 18*c**3/5 - 24*c**2/5 + 88*c/5 + 96/5 = 0.
-6, -4, -1, 2
What is q in -16*q**3/17 - 142*q**2/17 - 110*q/17 + 16/17 = 0?
-8, -1, 1/8
Factor -3*y**3 + 48*y**2 - 87*y + 42.
-3*(y - 14)*(y - 1)**2
Suppose 5*o**4 - 85*o**3 + 410*o**2 - 60*o - 2520 = 0. Calculate o.
-2, 6, 7
Factor -5*v**3 - 145*v**2 - 130*v + 280.
-5*(v - 1)*(v + 2)*(v + 28)
What is n in -5*n**3 - 7255*n**2 + 14525*n - 7265 = 0?
-1453, 1
Factor -1024*q**4 - 1664*q**3 + 720*q**2 - 94*q + 4.
-2*(q + 2)*(8*q - 1)**3
Factor -12*r**3/7 + 41604*r**2/7 + 41613*r/7 + 10404/7.
-3*(r - 3468)*(2*r + 1)**2/7
Let 5*s**2 + 30*s - 80 = 0. What is s?
-8, 2
Factor 5*u**2 + 12930*u + 8359245.
5*(u + 1293)**2
Suppose -3*q**4 - 3*q**3 + 3*q**2 + 3*q = 0. Calculate q.
-1, 0, 1
Factor 3*g**3 - 51*g**2/5 + 18*g/5.
3*g*(g - 3)*(5*g - 2)/5
Factor 2*u**4 + 6*u**3 - 90*u**2 + 154*u - 72.
2*(u - 4)*(u - 1)**2*(u + 9)
Factor 4*r**4 + 8520*r**3 + 