What is x in 3*x**4 - 246*x**3 + 4791*x**2 + 10332*x + 5292 = 0?
-1, 42
Factor -z**4/3 + 34*z**2/3 + 32*z + 21.
-(z - 7)*(z + 1)*(z + 3)**2/3
Factor -4*k**2 - 1568*k - 9264.
-4*(k + 6)*(k + 386)
What is g in 20*g**3 - 6552*g**2 + 535296*g + 215168 = 0?
-2/5, 164
Suppose -6*o**3/7 + 369*o**2/7 + 1797*o/7 - 990/7 = 0. Calculate o.
-5, 1/2, 66
Factor x**3/2 - 1553*x**2/2 + 602175*x/2 + 603729/2.
(x - 777)**2*(x + 1)/2
Factor 2*l**2/11 - 86*l/11.
2*l*(l - 43)/11
Solve -6*j**4/11 + 214*j**3/11 - 720*j**2/11 + 504*j/11 + 256/11 = 0.
-1/3, 2, 32
Factor -d**4/3 - 26*d**3/3 - 24*d**2 - 70*d/3 - 23/3.
-(d + 1)**3*(d + 23)/3
Let 4*d**5 + 24*d**4 + 36*d**3 + 16*d**2 = 0. What is d?
-4, -1, 0
Find i such that -5*i**3 + 15*i**2 - 15*i + 5 = 0.
1
Factor -2*r**4/3 - 2*r**3 - 4*r**2/3.
-2*r**2*(r + 1)*(r + 2)/3
Factor -37*y**3 + 38*y**2 + 73*y - 2.
-(y - 2)*(y + 1)*(37*y - 1)
Let 2*y**5/3 - 2*y**4 - 62*y**3/3 + 166*y**2/3 + 100*y - 400/3 = 0. What is y?
-5, -2, 1, 4, 5
What is v in v**3 - 37*v**2 - 77*v - 39 = 0?
-1, 39
Factor -5*k**3 + 55*k**2 + 10*k - 600.
-5*(k - 10)*(k - 4)*(k + 3)
What is k in -3*k**4 + 3*k**3 + 9*k**2 - 3*k - 6 = 0?
-1, 1, 2
Factor 28*t**3 - 36*t**2 - 160*t + 48.
4*(t - 3)*(t + 2)*(7*t - 2)
Suppose -2*i**3 - 84*i**2 + 1742*i + 1824 = 0. What is i?
-57, -1, 16
Solve -3*w**5/2 + 9*w**4 + 24*w**3 + 3*w**2 - 45*w/2 - 12 = 0 for w.
-1, 1, 8
Factor l**2/7 + 611*l.
l*(l + 4277)/7
Factor -3*p**3/4 + 6*p**2 + 237*p/4 - 273/2.
-3*(p - 13)*(p - 2)*(p + 7)/4
Factor -k**4 + 7*k**3 - 11*k**2 + 5*k.
-k*(k - 5)*(k - 1)**2
Factor q**2/3 - 94*q/3 - 95/3.
(q - 95)*(q + 1)/3
Determine v so that -v**3/6 - 63*v**2 - 251*v/2 - 188/3 = 0.
-376, -1
Let 2*y**5/3 - 26*y**4/3 + 26*y**3 - 18*y**2 = 0. What is y?
0, 1, 3, 9
Determine l so that -l**2/3 - 111*l + 334/3 = 0.
-334, 1
Solve -5*f**3/2 - 5*f**2 + 155*f/2 - 70 = 0 for f.
-7, 1, 4
Find i such that 1188150*i**3 - 1186370*i**2 - 5338*i/3 - 2/3 = 0.
-1/1335, 1
What is u in 4*u**2 - 6672*u + 2782224 = 0?
834
Factor -2*m**3 - 2*m**2 + 416*m - 2176.
-2*(m - 8)**2*(m + 17)
Let -2*h**3/17 - 24*h**2/17 - 40*h/17 = 0. What is h?
-10, -2, 0
Factor -5*w**3 - 1030*w**2.
-5*w**2*(w + 206)
Factor -l**5/7 + l**4/7 + l**3/7 - l**2/7.
-l**2*(l - 1)**2*(l + 1)/7
Find y, given that 289*y**5/4 + 10149*y**4/2 + 94538*y**3 + 189076*y**2 + 40596*y + 2312 = 0.
-34, -2, -2/17
Solve -5*c**3 - 970*c**2 - 1905*c + 2880 = 0.
-192, -3, 1
Suppose f**4 + 27*f**3 + 47*f**2 - 75*f = 0. Calculate f.
-25, -3, 0, 1
Suppose 4*c**2 + 36*c - 40 = 0. What is c?
-10, 1
What is q in -q**4/3 + q**3/3 + 13*q**2/3 - 25*q/3 + 4 = 0?
-4, 1, 3
Suppose -2*g**5/7 + 68*g**4/7 - 188*g**3/7 + 8*g**2 + 190*g/7 - 124/7 = 0. Calculate g.
-1, 1, 2, 31
Factor r**2/4 - 9*r/4.
r*(r - 9)/4
Factor 5*w**2 + 60*w + 175.
5*(w + 5)*(w + 7)
Factor -4*k**3/3 + 77*k**2/3 - 19*k/3.
-k*(k - 19)*(4*k - 1)/3
Suppose 12*m**4 - 80*m**3 - 28*m**2 = 0. What is m?
-1/3, 0, 7
Factor 2*x**5/7 + 6*x**4/7 + 4*x**3/7 - 4*x**2/7 - 6*x/7 - 2/7.
2*(x - 1)*(x + 1)**4/7
Determine i, given that 2*i**2/15 + 2*i/5 + 4/15 = 0.
-2, -1
Factor 2*n**5/15 + 8*n**4/15 - 32*n**2/15 - 32*n/15.
2*n*(n - 2)*(n + 2)**3/15
Find r such that 5*r**5 - 460*r**4 + 11020*r**3 - 19790*r**2 - 11025*r + 20250 = 0.
-1, 1, 2, 45
Factor 4*p**4 - 36*p**2 - 16*p + 48.
4*(p - 3)*(p - 1)*(p + 2)**2
Factor -6*q**3/7 - 6*q**2.
-6*q**2*(q + 7)/7
Solve 2*m**4 - 830*m**3 - 836*m**2 + 1664*m = 0.
-2, 0, 1, 416
Solve -3*t**5 - 30*t**4 + 153*t**3 - 204*t**2 + 84*t = 0.
-14, 0, 1, 2
Factor 2*h**3 - 28*h**2 + 48*h.
2*h*(h - 12)*(h - 2)
What is v in v**5 + 6*v**4 + v**3 - 24*v**2 - 20*v = 0?
-5, -2, -1, 0, 2
Find n such that n**5 - 7*n**4 + 13*n**3 - n**2 - 14*n + 8 = 0.
-1, 1, 2, 4
Let 66*t**4 + 203*t**3 + 91*t**2 - 10*t = 0. Calculate t.
-5/2, -2/3, 0, 1/11
Let -1215*t**3 - 4870*t**2 - 4900*t - 40 = 0. What is t?
-2, -2/243
Let -5*x**5 + 635*x**4 - 21695*x**3 + 97925*x**2 - 151280*x + 74420 = 0. Calculate x.
1, 2, 61
Solve 4*h**2 - 328*h + 6724 = 0.
41
Suppose 36*p**4 - 142*p**3 - 152*p**2 + 568*p + 32 = 0. Calculate p.
-2, -1/18, 2, 4
Determine o so that o**3/4 - 23*o**2/4 + o/2 + 110 = 0.
-4, 5, 22
Suppose l**2/4 + 11*l/4 + 6 = 0. Calculate l.
-8, -3
Factor -3*c**3 - 285*c**2 - 561*c - 279.
-3*(c + 1)**2*(c + 93)
Factor -3*v**5/5 - 6*v**4/5 + 12*v**3/5 + 24*v**2/5.
-3*v**2*(v - 2)*(v + 2)**2/5
Factor 4*s**4/7 - 36*s**3/7 + 72*s**2/7 + 16*s/7 - 96/7.
4*(s - 6)*(s - 2)**2*(s + 1)/7
Let s**2/3 - 373*s/3 = 0. What is s?
0, 373
Find t, given that 363*t**4 + 132*t**3 - 1440*t**2 - 528*t - 48 = 0.
-2, -2/11, 2
Find s, given that 4*s**3 + 76*s**2 + 104*s - 544 = 0.
-17, -4, 2
Let -n**3/5 + 4*n**2/5 + 4*n - 48/5 = 0. What is n?
-4, 2, 6
Factor -2*u**3/3 + 92*u**2/3 + 1856*u/3 + 7936/3.
-2*(u - 62)*(u + 8)**2/3
Let 75*o**5 - 610*o**4 + 1205*o**3 + 450*o**2 - 1280*o + 160 = 0. Calculate o.
-1, 2/15, 1, 4
Determine t so that 432*t**4/5 - 648*t**3/5 - 5148*t**2/5 + 14762*t/5 - 10648/5 = 0.
-4, 11/6
Find m, given that -4*m**5/3 + 12*m**4 - 20*m**3 + 28*m**2/3 = 0.
0, 1, 7
Factor 3*a**5 + 6*a**4 - 36*a**3 + 42*a**2 - 15*a.
3*a*(a - 1)**3*(a + 5)
What is b in 2*b**3/9 - 22*b**2/9 + 4*b = 0?
0, 2, 9
What is x in -3*x**3 + 6*x**2 + 9*x = 0?
-1, 0, 3
Factor 16*d**2/9 - 26*d/9 - 22/3.
2*(d - 3)*(8*d + 11)/9
Solve 12*f**3 + 483*f**2 + 4920*f + 1200 = 0.
-20, -1/4
Factor 2*h**4 - 252*h**3 + 7680*h**2 + 16384*h.
2*h*(h - 64)**2*(h + 2)
Solve -3*r**3/4 + 9*r**2/2 + 57*r/4 - 18 = 0 for r.
-3, 1, 8
Determine a, given that a**3 - 274*a**2 + 19817*a - 141512 = 0.
8, 133
Solve 2*b**3/11 + 100*b**2/11 - 208*b/11 = 0.
-52, 0, 2
Let 2*o**4/23 - 38*o**2/23 + 60*o/23 = 0. Calculate o.
-5, 0, 2, 3
Determine a, given that 3*a**4 + 3*a**3 - 66*a**2 + 132*a - 72 = 0.
-6, 1, 2
Determine l so that 9*l**4/4 - 49*l**3/2 + 205*l**2/4 + 87*l + 9 = 0.
-1, -1/9, 6
Find a such that 12*a**5 + 2112*a**4 - 2133*a**3 - 1581*a**2 + 2121*a - 531 = 0.
-177, -1, 1/2, 1
Factor c**3 - 12*c**2 + 20*c.
c*(c - 10)*(c - 2)
Suppose 7*w**3 + 138*w**2 - 40*w = 0. What is w?
-20, 0, 2/7
Factor -4*y**2 - 4964*y + 9944.
-4*(y - 2)*(y + 1243)
Factor f**2/3 + 100*f/3 + 2500/3.
(f + 50)**2/3
Factor -81*r**3/2 + 279*r**2 - 224*r + 48.
-(r - 6)*(9*r - 4)**2/2
Factor 70*r**3 + 276*r**2 + 194*r - 12.
2*(r + 1)*(r + 3)*(35*r - 2)
Factor 338*b**4/3 + 364*b**3 + 362*b**2/3 - 280*b + 200/3.
2*(b + 2)**2*(13*b - 5)**2/3
Factor -4*l**4 + 136*l**3 - 1360*l**2 + 5088*l - 5760.
-4*(l - 20)*(l - 6)**2*(l - 2)
Factor 2*d**5 - 6*d**4 - 6*d**3 + 22*d**2 - 12*d.
2*d*(d - 3)*(d - 1)**2*(d + 2)
Solve 2*v**5 + 8*v**4 + 6*v**3 = 0.
-3, -1, 0
Factor o**4/5 + 16*o**3/5 - 18*o**2/5 - 16*o/5 + 17/5.
(o - 1)**2*(o + 1)*(o + 17)/5
Factor 3*i**3/5 - 27*i**2/5 - 42*i.
3*i*(i - 14)*(i + 5)/5
Factor -2*c**2/21 - 82*c/21 - 120/7.
-2*(c + 5)*(c + 36)/21
Factor i**3/5 + 27*i**2/5.
i**2*(i + 27)/5
Factor 4*l**3/9 + 164*l**2/9 + 584*l/3 + 320.
4*(l + 2)*(l + 15)*(l + 24)/9
What is f in -9*f**4/4 - 25*f**3/4 + 123*f**2/4 + 109*f/4 - 15/2 = 0?
-5, -1, 2/9, 3
Determine k so that k**3/2 - 19*k**2 + 224*k - 768 = 0.
6, 16
Find p such that -2*p**3/9 - 20*p**2/9 + 46*p/9 - 8/3 = 0.
-12, 1
Find m such that 2*m**4/7 - 2*m**3 + 4*m**2 - 16*m/7 = 0.
0, 1, 2, 4
Let -3*d**5 - 36*d**4 - 105*d**3 - 60*d**2 + 108*d + 96 = 0. What is d?
-8, -2, -1, 1
Factor 3*q**3 + 252*q**2 + 243*q - 498.
3*(q - 1)*(q + 2)*(q + 83)
Factor -y**2/2 + 259*y/2 - 257.
-(y - 257)*(y - 2)/2
Factor -4*q**3 + 220*q**2 - 832*q + 816.
-4*(q - 51)*(q - 2)**2
Solve -4*p**4/3 + 100*p**3 - 196*p**2 + 292*p/3 = 0.
0, 1, 73
Find r such that 3*r**4 + 21*r**3 + 36*r**2 = 0.
-4, -3, 0
Factor 2*j**2/3 + 2768*j/3 + 957728/3.
2*(j + 692)**2/3
Factor 4*b**4/7 + 12*b**3/7 - 24*b**2 + 400*b/7 - 288/7.
4*(b - 2)**3*(b + 9)/7
Find f, given that f**4/7 - 23*f**3/7 - 25*f**2/7 + 23*f/7 + 24/7 = 0.
-1, 1, 24
Factor 364651875*g**4/4 - 6945750*g**3 + 198450*g**2 - 2520*g + 12.
3*(105*g - 2)**4/4
Factor 2*c**3/5 + 162*c**2/5 + 318*c/5 + 158/5.
2*(c + 1)**2*(c + 79)/5
Let 3*l**4/8 + 27*l**3/4 + 51*l**2/8 = 0. What is l?
-17, -1, 0
Suppose -4*s**4/5 + 36*s**3 - 832*s**2/5 + 1296*s/5 - 128 = 0. What is s?
1, 2, 40
Factor 28*l**3 + 456*l**2 + 128*l.
4*l*(l + 16)*(7*l + 2)
Suppose 3*o**2 + 255*o - 258 = 0. Calculate o.
-86, 1
Determine a so that -a**3/3 + 41*a**2/3 - 475*a/3 + 361 = 0.
3, 19
Solve y**2/4 +