*2 - 121*a - 156 = 0.
-39, -1, 1, 4
Suppose -6*k**2/7 - 537*k/7 + 270/7 = 0. What is k?
-90, 1/2
What is l in -3*l**4/5 + 12*l**3/5 + 3*l**2/5 - 12*l/5 = 0?
-1, 0, 1, 4
Find a, given that 4*a**4 + 72*a**3 + 388*a**2 + 576*a + 256 = 0.
-8, -1
What is q in -8*q**4 - 2116*q**3 + 5324*q**2 - 4268*q + 1068 = 0?
-267, 1/2, 1
Factor 4*m**5 - 32*m**4 + 96*m**3 - 136*m**2 + 92*m - 24.
4*(m - 3)*(m - 2)*(m - 1)**3
Factor -2*s**2 + 940*s - 110450.
-2*(s - 235)**2
Factor -2*h**2/7 - 204*h/7 - 202/7.
-2*(h + 1)*(h + 101)/7
Factor 4*j**2/3 + 80*j/3 + 400/3.
4*(j + 10)**2/3
Determine z so that -z**4/5 + 79*z**3/5 - 2331*z**2/5 + 30429*z/5 - 148176/5 = 0.
16, 21
Determine i, given that -i**2/4 + 5*i + 21/4 = 0.
-1, 21
Solve 3*d**4/2 + 555*d**3/2 + 17019*d**2 + 340194*d - 357492 = 0 for d.
-62, 1
Find l, given that 5*l**4 - 1480*l**3 + 4410*l**2 - 4400*l + 1465 = 0.
1, 293
Suppose -2*x**3 - 66*x**2 - 726*x - 2662 = 0. What is x?
-11
What is c in -15*c**3 - 31*c**2 - 2*c = 0?
-2, -1/15, 0
Factor -2*p**3/21 + 6*p**2/7 + 2*p - 70/3.
-2*(p - 7)**2*(p + 5)/21
Factor v**2 + 3*v + 2.
(v + 1)*(v + 2)
Factor 3*p**5 - 27*p**3 - 12*p**2 + 36*p.
3*p*(p - 3)*(p - 1)*(p + 2)**2
Factor 2*z**2 + 306*z/5 + 464/5.
2*(z + 29)*(5*z + 8)/5
Determine f, given that -2*f**2/5 + 40*f - 360 = 0.
10, 90
Find a such that -2*a**5 + 4*a**4 + 14*a**3 + 8*a**2 = 0.
-1, 0, 4
Determine a so that -5*a**4/2 + a**3 + 15*a**2/2 + 2*a - 2 = 0.
-1, 2/5, 2
Factor -4*h**3 + 48*h**2 - 36*h - 88.
-4*(h - 11)*(h - 2)*(h + 1)
Determine o, given that -3*o**2 + 28410*o - 67260675 = 0.
4735
Factor -3*r**2 + 1308*r - 1305.
-3*(r - 435)*(r - 1)
What is p in 3*p**4/8 - 15*p**3 + 189*p**2 - 588*p - 2058 = 0?
-2, 14
Let -f**4/3 - 52*f**3/3 + 36*f**2 = 0. Calculate f.
-54, 0, 2
Factor -u**2 + 1552*u - 602176.
-(u - 776)**2
Factor -3*a**3/5 - 9*a**2/5 - 6*a/5.
-3*a*(a + 1)*(a + 2)/5
Let 3*c**4 - 34*c**3 + 31*c**2/3 + 22*c/3 = 0. Calculate c.
-1/3, 0, 2/3, 11
Determine f so that -3*f**2 + 270*f + 273 = 0.
-1, 91
Solve 2*r**4/3 + 68*r**3/3 - 862*r**2/3 + 264*r = 0 for r.
-44, 0, 1, 9
Factor h**3 - 27*h**2 + 132*h + 160.
(h - 20)*(h - 8)*(h + 1)
Factor -5*b**3 - 740*b**2 - 735*b.
-5*b*(b + 1)*(b + 147)
Suppose 2*h**2 + 20380*h + 51918050 = 0. Calculate h.
-5095
Find m such that -m**2/6 - 2*m/3 - 1/2 = 0.
-3, -1
Factor -2*l**4/3 + 10*l**3/3 - 14*l**2/3 + 2*l.
-2*l*(l - 3)*(l - 1)**2/3
Factor n**5/6 - 37*n**4/6 + 35*n**3/3 + n**2/3 - 71*n/6 + 35/6.
(n - 35)*(n - 1)**3*(n + 1)/6
Suppose -3*j**5 + 1143*j**4 - 109440*j**3 + 108300*j**2 = 0. Calculate j.
0, 1, 190
Factor -4*k**4/9 + 11*k**3/9 + 2*k**2/3 - k.
-k*(k - 3)*(k + 1)*(4*k - 3)/9
Factor -2*z**3/7 + 166*z**2/7 - 4240*z/7 + 34400/7.
-2*(z - 43)*(z - 20)**2/7
Factor i**4/6 + 4*i**3/3 + i**2 - 4*i/3 - 7/6.
(i - 1)*(i + 1)**2*(i + 7)/6
Suppose -3*a**5 - 24*a**4 - 63*a**3 - 54*a**2 = 0. Calculate a.
-3, -2, 0
Factor -5*w**4 + 35*w**3 - 75*w**2 + 65*w - 20.
-5*(w - 4)*(w - 1)**3
Suppose -4*z**2 - 84*z = 0. Calculate z.
-21, 0
Determine w, given that -2*w**4/9 + 92*w**3/9 = 0.
0, 46
Factor 3*v**3/5 + 39*v**2/5 - 504*v/5.
3*v*(v - 8)*(v + 21)/5
Let 2*c**5 - 22*c**4 + 64*c**3 - 56*c**2 = 0. Calculate c.
0, 2, 7
Factor 9*m**4/5 + 142*m**3/5 + 724*m**2/5 + 1128*m/5 - 288/5.
(m + 4)*(m + 6)**2*(9*m - 2)/5
Factor -2*n**2/3 - 20*n/3 + 22/3.
-2*(n - 1)*(n + 11)/3
Factor 4*v**2 - 864*v + 6656.
4*(v - 208)*(v - 8)
Factor 3*o**2 + 219*o + 2046.
3*(o + 11)*(o + 62)
Find c, given that -5*c**4 + 45*c**3 - 115*c**2 + 75*c = 0.
0, 1, 3, 5
Factor 2758921*g**2/4 - 1661*g + 1.
(1661*g - 2)**2/4
Find u such that 2*u**5/9 - 34*u**4/9 - 28*u**3/3 + 136*u**2/9 + 304*u/9 = 0.
-2, 0, 2, 19
What is f in 2*f**5/3 - 8*f**4 + 38*f**3/3 + 8*f**2 - 40*f/3 = 0?
-1, 0, 1, 2, 10
Factor -s**2 - 7544*s - 14227984.
-(s + 3772)**2
Suppose 6*x**5/7 + 156*x**4/7 + 144*x**3/7 - 156*x**2/7 - 150*x/7 = 0. What is x?
-25, -1, 0, 1
Determine g so that g**3/4 + 3*g**2/2 + 11*g/4 + 3/2 = 0.
-3, -2, -1
Factor 3*i**5 - 12*i**3.
3*i**3*(i - 2)*(i + 2)
Factor d**4/3 - 4*d**3/3 + 2*d**2/3 + 4*d/3 - 1.
(d - 3)*(d - 1)**2*(d + 1)/3
Factor v**4/4 + 11*v**3/2 + 35*v**2 + 50*v.
v*(v + 2)*(v + 10)**2/4
Factor h**3 + 60*h**2 - 403*h - 462.
(h - 7)*(h + 1)*(h + 66)
Let 2*c**2/15 - 5924*c/15 + 1974/5 = 0. What is c?
1, 2961
Let -4*b**4 + 48*b**3 - 188*b**2 + 288*b - 144 = 0. Calculate b.
1, 2, 3, 6
Solve -2*f**4/7 + 76*f**3/7 + 414*f**2/7 - 3760*f - 3808 = 0 for f.
-17, -1, 28
Determine k, given that 3*k**5/2 - 23*k**4/2 - 17*k**3/2 + 267*k**2/2 + 45*k = 0.
-3, -1/3, 0, 5, 6
Factor w**4/4 - 131*w**3/4 + 129*w**2/4 + 131*w/4 - 65/2.
(w - 130)*(w - 1)**2*(w + 1)/4
Let -4*j**5 - 76*j**4 + 392*j**3 + 536*j**2 - 388*j - 460 = 0. Calculate j.
-23, -1, 1, 5
Let 4*n**2/3 - 128*n/3 + 124/3 = 0. What is n?
1, 31
Solve 3*z**2 + 117*z - 246 = 0 for z.
-41, 2
Factor w**4/4 - 3*w**3/4 - 4*w**2 - 3*w.
w*(w - 6)*(w + 1)*(w + 2)/4
Suppose -4*w**2 + 348*w - 344 = 0. What is w?
1, 86
Factor 5*h**2 - 10930*h + 10925.
5*(h - 2185)*(h - 1)
Let 4*v**2 - 8*v = 0. What is v?
0, 2
Let -2*t**4/15 - 22*t**3/15 - 4*t**2/3 = 0. What is t?
-10, -1, 0
Factor -3*c**3/2 - 3615*c**2/2 - 7212*c - 7206.
-3*(c + 2)**2*(c + 1201)/2
Let 16*j**3/3 - 94*j**2/9 - 388*j/9 - 16/9 = 0. Calculate j.
-2, -1/24, 4
Factor -2*w**2 - 48*w + 162.
-2*(w - 3)*(w + 27)
Determine t so that -t**5/3 - 21*t**4 - 236*t**3/3 = 0.
-59, -4, 0
Let p**5/10 - 38*p**4/5 + 1083*p**3/5 - 13718*p**2/5 + 130321*p/10 = 0. What is p?
0, 19
Factor -64*w**2/3 - 32*w/3 - 4/3.
-4*(4*w + 1)**2/3
Factor p**3/4 + 1251*p**2/4 + 521667*p/4 + 72511713/4.
(p + 417)**3/4
Solve 2*p**5 + 34*p**4 - 58*p**3 - 378*p**2 + 360*p + 648 = 0 for p.
-18, -3, -1, 2, 3
Determine f, given that 50*f**4/7 - 3130*f**3/7 - 7758*f**2/7 - 2726*f/7 - 260/7 = 0.
-2, -1/5, 65
Determine m, given that 5*m**5/3 - 10*m**4 + 15*m**3 + 20*m**2/3 - 20*m = 0.
-1, 0, 2, 3
Find b, given that -34*b**5/3 + 637*b**4/6 + 695*b**3/2 + 400*b**2/3 - 266*b/3 + 8 = 0.
-2, -1, 2/17, 1/4, 12
Determine u, given that -2*u**4/19 + 6*u**3/19 + 8*u**2/19 - 24*u/19 = 0.
-2, 0, 2, 3
Factor 2*u**3/13 - 250*u**2/13 - 1032*u/13.
2*u*(u - 129)*(u + 4)/13
Let -100*o**5/3 + 3540*o**4 - 2056*o**3/3 - 2256*o**2 - 1696*o/3 = 0. Calculate o.
-2/5, 0, 1, 106
Find t, given that -2*t**4/5 + 24*t**3/5 + 162*t**2 - 11584*t/5 + 10752/5 = 0.
-21, 1, 16
Determine g so that -5*g**2 - 15*g = 0.
-3, 0
Factor -p**2/2 - 56*p + 354.
-(p - 6)*(p + 118)/2
Factor 2*w**4/3 + 44*w**3/3 - 34*w**2 - 48*w.
2*w*(w - 3)*(w + 1)*(w + 24)/3
Let -6*p**5/5 - 28*p**4/5 + 52*p**3/5 + 16*p**2/5 - 46*p/5 + 12/5 = 0. Calculate p.
-6, -1, 1/3, 1
Find a, given that -4*a**4/5 - 92*a**3/5 - 444*a**2/5 - 628*a/5 - 272/5 = 0.
-17, -4, -1
Factor -2*l**2 + 72*l.
-2*l*(l - 36)
Factor -m**4 + 11*m**3/4 - 5*m**2/4 - m/2.
-m*(m - 2)*(m - 1)*(4*m + 1)/4
Factor -3*t**2/7 - 186*t/7 - 360/7.
-3*(t + 2)*(t + 60)/7
Factor -3*q**3 + 15*q**2 + 132*q + 180.
-3*(q - 10)*(q + 2)*(q + 3)
Suppose -4*m**4 - 164*m**3 - 432*m**2 + 944*m + 1216 = 0. Calculate m.
-38, -4, -1, 2
Solve 6*z**3/5 - 398*z**2/5 + 6666*z/5 - 2178/5 = 0 for z.
1/3, 33
Let -2*z**4/9 + 10*z**3/3 - 14*z**2 + 170*z/9 - 8 = 0. Calculate z.
1, 4, 9
Find d such that -81*d**4 - 63*d**3 + 3419*d**2 - 757*d + 42 = 0.
-7, 1/9, 6
Factor -j**3 + 104*j**2.
-j**2*(j - 104)
Factor -2*t**3 - 310*t**2 - 1806*t - 2682.
-2*(t + 3)**2*(t + 149)
Factor 2916*w**3/7 + 4779*w**2 + 94536*w/7 - 8112/7.
3*(9*w + 52)**2*(12*w - 1)/7
What is z in 2*z**5/7 + 2*z**4/7 - 6*z**3/7 - 2*z**2/7 + 4*z/7 = 0?
-2, -1, 0, 1
Factor 12*j**3 + 1732*j**2 + 62784*j + 20736.
4*(j + 72)**2*(3*j + 1)
What is t in 4*t**5 + 4*t**4 - 88*t**3 - 184*t**2 + 84*t + 180 = 0?
-3, -1, 1, 5
Solve 14*k**2 + 20716*k - 5920 = 0 for k.
-1480, 2/7
Factor -t**2/2 - t/2 + 1.
-(t - 1)*(t + 2)/2
Suppose 2*k**5/3 - 8*k**4/3 + 4*k**3/3 + 8*k**2/3 - 2*k = 0. What is k?
-1, 0, 1, 3
Let v**3 + 450*v**2 - 1812*v + 1816 = 0. What is v?
-454, 2
Determine u so that -4*u**4 + 57*u**3 - 274*u**2 + 465*u - 100 = 0.
1/4, 4, 5
Factor -3*g**2/4 + 63*g/4 - 165/2.
-3*(g - 11)*(g - 10)/4
Solve c**3/3 - 58*c**2/9 + 73*c/9 - 2 = 0.
1/3, 1, 18
Factor b**4 - 16*b**3 + 28*b**2.
b**2*(b - 14)*(b - 2)
Solve -4*o**5/3 - 16*o**4/3 - 4*o**3/3 + 8*o**2 = 0 for o.
-3, -2, 0, 1
Determine z, given that z**2/9 + 221*z/9 + 868/9 = 0.
-217, -4
Find n such that