2, 1, 44
Solve 3*m**2/5 - 639*m/5 + 636/5 = 0 for m.
1, 212
Solve -6*z**4/11 + 338*z**3/11 - 4470*z**2/11 - 8178*z/11 - 3364/11 = 0 for z.
-1, -2/3, 29
Let z**3/3 + 4*z**2/3 - 76*z/3 - 160/3 = 0. What is z?
-10, -2, 8
What is q in -5*q**3 + 32*q**2 - 37*q + 10 = 0?
2/5, 1, 5
Factor -q**3/2 - 13*q**2/2 + 8*q + 14.
-(q - 2)*(q + 1)*(q + 14)/2
Determine l so that -4*l**2 + 7632*l - 3640464 = 0.
954
Factor 2*u**3/3 + 32*u**2/3 - 152*u/3 + 160/3.
2*(u - 2)**2*(u + 20)/3
Determine m so that m**2 + 230*m + 229 = 0.
-229, -1
Suppose 18*z**2/5 + 42854*z/5 - 9524/5 = 0. Calculate z.
-2381, 2/9
Determine z so that -4*z**2 + 624*z + 628 = 0.
-1, 157
Factor 2*s**4/9 - 8072*s**3/9 + 3620740*s**2/3 - 4877131400*s/9 + 4866277250/9.
2*(s - 1345)**3*(s - 1)/9
Determine o, given that -3*o**3 - 4218*o**2 - 1486836*o - 2956824 = 0.
-702, -2
Factor 256*h**2/5 - 518*h/5 + 12/5.
2*(h - 2)*(128*h - 3)/5
What is c in -5*c**4 + 115*c**3 - 675*c**2 - 1215*c + 14580 = 0?
-4, 9
Factor 36*o**3/7 - 1664*o**2/7 + 19412*o/7 - 4232/7.
4*(o - 23)**2*(9*o - 2)/7
Factor -2*o**5 - 2*o**4 + 4*o**3 + 4*o**2 - 2*o - 2.
-2*(o - 1)**2*(o + 1)**3
Factor 3*o**5 + 9*o**4 - 3*o**3 - 9*o**2.
3*o**2*(o - 1)*(o + 1)*(o + 3)
Factor 5*p**5/2 + 25*p**4/2 + 15*p**3/2 - 45*p**2/2.
5*p**2*(p - 1)*(p + 3)**2/2
What is j in 15*j**4 + 1521*j**3 + 51102*j**2 + 558348*j - 353736 = 0?
-34, 3/5
Find v, given that -3*v**2/2 + 75*v/2 - 69 = 0.
2, 23
Factor a**2/5 + 619*a/5 + 1848/5.
(a + 3)*(a + 616)/5
Factor 3*h**4/5 - 6*h**3 + 111*h**2/5 - 36*h + 108/5.
3*(h - 3)**2*(h - 2)**2/5
Solve 3*u**5/2 + 11*u**4 + 63*u**3/2 + 44*u**2 + 30*u + 8 = 0.
-2, -4/3, -1
Let 2*n**2/9 - 20*n/9 - 26/3 = 0. Calculate n.
-3, 13
Find n such that -3*n**4 + 3*n**3 + 30*n**2 - 12*n - 72 = 0.
-2, 2, 3
Solve -155*h**4 + 5*h**3/3 + 465*h**2 - 315*h + 10/3 = 0 for h.
-2, 1/93, 1
Factor -j**4/2 - 31*j**3/2 - 162*j**2 - 648*j - 864.
-(j + 3)*(j + 4)*(j + 12)**2/2
Determine d so that 2*d**3/5 + 25232*d**2/15 + 1767922*d - 5896812/5 = 0.
-2103, 2/3
Let -2*b**4 - 52*b**3 - 424*b**2 - 1100*b - 726 = 0. What is b?
-11, -3, -1
Determine c so that -c**3/2 + 5*c**2 + 11*c/2 = 0.
-1, 0, 11
Factor -3*z**5 + 6*z**4 - 6*z**2 + 3*z.
-3*z*(z - 1)**3*(z + 1)
Solve -2*r**5/9 + 16*r**3/9 + 4*r**2/3 - 14*r/9 - 4/3 = 0.
-2, -1, 1, 3
Find o such that -166*o**2/5 + 15*o/2 + 1/5 = 0.
-2/83, 1/4
Find z such that 3*z**5 + 33*z**4 + 81*z**3 - 33*z**2 - 84*z = 0.
-7, -4, -1, 0, 1
Factor -p**5 + 63*p**4 - 456*p**3 - 18772*p**2.
-p**2*(p - 38)**2*(p + 13)
Solve 10*t**5/11 - 16*t**4/11 - 48*t**3/11 + 4*t**2/11 + 38*t/11 + 12/11 = 0.
-1, -2/5, 1, 3
Factor -7*v**2/3 + 44*v/3 - 4.
-(v - 6)*(7*v - 2)/3
Factor k**5 - 18*k**4 + 32*k**3 + 2*k**2 - 33*k + 16.
(k - 16)*(k - 1)**3*(k + 1)
Factor -115*b**3 + 1050*b**2 - 1055*b + 120.
-5*(b - 8)*(b - 1)*(23*b - 3)
Find k, given that 2*k**2/3 + 124*k/3 + 122/3 = 0.
-61, -1
Let -35*i**4 - 8480*i**3 - 547055*i**2 - 3988530*i - 1095120 = 0. What is i?
-117, -8, -2/7
Let -2*r**3 - 20*r**2 + 274*r - 252 = 0. Calculate r.
-18, 1, 7
What is d in -5*d**5 + 85*d**4 - 495*d**3 + 1175*d**2 - 1180*d + 420 = 0?
1, 2, 6, 7
Factor -2*j**3 + 18*j**2.
-2*j**2*(j - 9)
Suppose 4*r**3 + 204*r**2 + 200*r = 0. What is r?
-50, -1, 0
Factor -u**4/4 + 3*u**3/4 + 3*u**2/4 - 7*u/4 - 3/2.
-(u - 3)*(u - 2)*(u + 1)**2/4
What is x in -2*x**4 - 4*x**3 + 2*x**2 + 4*x = 0?
-2, -1, 0, 1
Determine b, given that -18*b**3/5 + 8*b**2 + 136*b/5 - 32/5 = 0.
-2, 2/9, 4
Let 3*n**4 - 72*n**3 + 63*n**2 + 138*n = 0. What is n?
-1, 0, 2, 23
Factor -2*w**3/7 - 200*w**2/7 - 742*w - 1372.
-2*(w + 2)*(w + 49)**2/7
Suppose 2*c**2/5 + 856*c/5 + 91592/5 = 0. What is c?
-214
What is v in -v**5/7 - 15*v**4/7 + 103*v**3/7 + 43*v**2/7 - 330*v/7 + 200/7 = 0?
-20, -2, 1, 5
Factor -2*r**2 - 68*r.
-2*r*(r + 34)
Factor -2*y**2/5 + 1422*y/5 - 284.
-2*(y - 710)*(y - 1)/5
Factor 2*w**3/9 + 106*w**2/9 - 112*w/3.
2*w*(w - 3)*(w + 56)/9
Factor 32*h**3/3 - 752*h**2/3 + 370*h/3 - 46/3.
2*(h - 23)*(4*h - 1)**2/3
Determine y so that 2*y**3/3 - 212*y**2/3 + 6200*y/3 - 10000 = 0.
6, 50
Determine u, given that 2*u**2/7 + 2*u/7 - 40/7 = 0.
-5, 4
Factor 4*w**2 + 72*w + 260.
4*(w + 5)*(w + 13)
Suppose -2*f**2/5 - 1002*f/5 = 0. What is f?
-501, 0
Factor -5*r**2 - 5460*r - 1490580.
-5*(r + 546)**2
Factor -15*g**3 + 190*g**2 - 660*g + 360.
-5*(g - 6)**2*(3*g - 2)
Factor b**5/8 - 31*b**4/8 + 147*b**3/4 - 253*b**2/4 - 3751*b/8 + 3993/8.
(b - 11)**3*(b - 1)*(b + 3)/8
Determine p, given that 6*p**5/5 - 3*p**4/5 - 3*p**3/5 = 0.
-1/2, 0, 1
Factor 3*y**2/4 + 135*y/4 - 459/2.
3*(y - 6)*(y + 51)/4
Factor -q**2/3 - 28*q + 85/3.
-(q - 1)*(q + 85)/3
What is z in -27*z**2 - 9471*z + 2106 = 0?
-351, 2/9
Let 130*a**2/7 - 138*a/7 + 8/7 = 0. What is a?
4/65, 1
Suppose -8*r**4/5 - 36*r**3 + 288*r**2/5 - 4*r/5 - 96/5 = 0. What is r?
-24, -1/2, 1
Suppose -u**3 + 74*u**2 + 1975*u + 1900 = 0. What is u?
-20, -1, 95
Determine g so that -2*g**5 + 80*g**4 + 88*g**3 - 244*g**2 - 86*g + 164 = 0.
-2, -1, 1, 41
Factor 3*y**2 + 3*y - 60.
3*(y - 4)*(y + 5)
Suppose -4*f**5 + 4*f**4 + 64*f**3 - 64*f**2 = 0. What is f?
-4, 0, 1, 4
Suppose -2*n**2/9 - 44*n/9 - 38/3 = 0. Calculate n.
-19, -3
Factor 2*w**4/5 - 18*w**3/5 + 22*w**2/5 + 42*w/5.
2*w*(w - 7)*(w - 3)*(w + 1)/5
Factor w**2/6 + 8*w - 49/6.
(w - 1)*(w + 49)/6
Determine z, given that 4*z**3/9 + 184*z**2/9 + 1456*z/9 - 5408/3 = 0.
-26, 6
Determine k, given that -2*k**2/9 + 26*k/9 - 8 = 0.
4, 9
Factor -2*s**3/7 - 4878*s**2/7 - 424560*s + 2976800/7.
-2*(s - 1)*(s + 1220)**2/7
Determine o, given that -2*o**2 - 240*o - 472 = 0.
-118, -2
Find r, given that -r**5/3 - 7*r**4/3 + 8*r**3 + 148*r**2/3 + 160*r/3 = 0.
-8, -2, 0, 5
Determine i so that -4*i**5/7 + 1108*i**4/7 - 101560*i**3/7 + 3010968*i**2/7 + 6331068*i/7 + 3217428/7 = 0.
-1, 93
Factor -l**3/11 + 12*l**2/11 - 48*l/11 + 64/11.
-(l - 4)**3/11
Find g such that -g**4 + 54*g**3 + 168*g**2 + 170*g + 57 = 0.
-1, 57
Let -t**5/2 + 298*t**4 + t**3 - 596*t**2 - t/2 + 298 = 0. Calculate t.
-1, 1, 596
Factor -3*f**3/7 - 114*f**2/7 - 1188*f/7 - 1944/7.
-3*(f + 2)*(f + 18)**2/7
Solve 2*f**2/7 + 2*f - 88/7 = 0.
-11, 4
Factor -3*k**2 - 564*k - 26508.
-3*(k + 94)**2
Factor -2*l**2/5 - 284*l/5.
-2*l*(l + 142)/5
Factor 7*p**5/2 - 8*p**4 + 2*p**3.
p**3*(p - 2)*(7*p - 2)/2
Factor 2*p**5 + p**4 - 6*p**3 - 4*p**2 + 4*p + 3.
(p - 1)*(p + 1)**3*(2*p - 3)
Factor 2*d**3/9 - 22*d**2/9 - 272*d/9 - 608/9.
2*(d - 19)*(d + 4)**2/9
Suppose -5*h**2 + 230*h - 1365 = 0. What is h?
7, 39
Factor -7*p**4/6 + 131*p**3/3 - 503*p**2/6 + 124*p/3.
-p*(p - 1)**2*(7*p - 248)/6
Factor -f**3/2 + 54*f**2 + 222*f + 224.
-(f - 112)*(f + 2)**2/2
Let -14*o**2/9 + 32*o/9 - 8/9 = 0. What is o?
2/7, 2
Suppose i**2/5 + 391*i/5 - 2382/5 = 0. Calculate i.
-397, 6
Find q such that 5*q**5 + 70*q**4 + 210*q**3 + 80*q**2 - 215*q - 150 = 0.
-10, -3, -1, 1
Find z, given that -2*z**4 + 38*z**3 + 90*z**2 - 126*z = 0.
-3, 0, 1, 21
Factor c**2 - 3*c + 2.
(c - 2)*(c - 1)
Solve -2*b**5 - 28*b**4 + 64*b**3 = 0 for b.
-16, 0, 2
Factor 3*y**2/4 + 63*y/4.
3*y*(y + 21)/4
Factor 3*x**3 + 17*x**2 + 28*x + 12.
(x + 2)*(x + 3)*(3*x + 2)
Factor 2*g**2/11 - 1082*g/11 - 2172/11.
2*(g - 543)*(g + 2)/11
Let -3*d**4 - 2175*d**3 - 390942*d**2 + 1188096*d - 794976 = 0. Calculate d.
-364, 1, 2
Factor -5*p**3 + 200*p**2 + 5*p - 200.
-5*(p - 40)*(p - 1)*(p + 1)
Solve 2*i**3 - 80*i**2 + 800*i = 0.
0, 20
Suppose -5*b**4/2 + 40*b**3 + 85*b**2/2 = 0. What is b?
-1, 0, 17
Factor -2*s**3/11 - 8*s**2/11 - 2*s/11 + 12/11.
-2*(s - 1)*(s + 2)*(s + 3)/11
Factor 2*r**3/13 + 10*r**2/13 - 16*r/13 - 96/13.
2*(r - 3)*(r + 4)**2/13
Factor -2*h**2 - 3856*h - 1858592.
-2*(h + 964)**2
Factor -2*h**4 + 9*h**3 - 27*h.
-h*(h - 3)**2*(2*h + 3)
Factor -v**2/3 + 388*v/3 + 2765/3.
-(v - 395)*(v + 7)/3
Factor -5*w**4 - 15*w**3 + 5*w**2 + 15*w.
-5*w*(w - 1)*(w + 1)*(w + 3)
Determine g, given that 10*g**3 + 6714*g**2 - 10776*g - 5384 = 0.
-673, -2/5, 2
Factor 8*k**2/5 - 113*k/5 + 14/5.
(k - 14)*(8*k - 1)/5
Find t such that -5*t**5/6 - 80*t**4/3 - 425*t**3/2 + 80*t**2/3 + 640*t/3 = 0.
-16, -1, 0, 1
Factor 2*n**2/3 + 140*n/3 + 46.
2*(n + 1)*(n + 69)/3
Suppose k**3/2 + 3*k**2/2 - 5*k - 12 = 0. What is k?
-4, -2, 3
Suppose v**3 - 119*v**2 - 4576*v - 38656 = 0. Calculate v.
-16, 151
Find l, given that 2*l**4 - 624*l**3 + 3696*l**2 - 7360*l + 4896 = 0.
2, 3