3, 1, 2, 17
Find d, given that 28*d**4/3 - 50*d**3/3 - 16*d**2/3 + 8*d/3 = 0.
-1/2, 0, 2/7, 2
Determine x so that x**4 - 49*x**3/8 - 25*x**2/4 + 7*x/8 = 0.
-1, 0, 1/8, 7
Factor 2*c**5/19 + 52*c**4/19 + 188*c**3/19 + 272*c**2/19 + 178*c/19 + 44/19.
2*(c + 1)**4*(c + 22)/19
Factor c**4/2 - 34*c**3 + 1333*c**2/2 - 2883*c.
c*(c - 31)**2*(c - 6)/2
Suppose 3*p**4/7 - 12*p**3/7 - 57*p**2/7 - 6*p = 0. What is p?
-2, -1, 0, 7
Let -2*o**5/15 + 12*o**4/5 - 32*o**3/3 = 0. Calculate o.
0, 8, 10
Determine a so that -2*a**4/5 + 18*a**3/5 + 28*a**2/5 - 72*a/5 - 16 = 0.
-2, -1, 2, 10
Factor 5*h**3 + 385*h**2.
5*h**2*(h + 77)
Solve 9*d**3 + 20*d**2 - 57*d + 28 = 0 for d.
-4, 7/9, 1
Let -3*c**4 - 117*c**3 - 429*c**2 - 315*c = 0. Calculate c.
-35, -3, -1, 0
Factor -w**2/3 + 829*w/3 - 1654/3.
-(w - 827)*(w - 2)/3
Factor -2*u**5/5 + 222*u**4/5 - 8214*u**3/5 + 101306*u**2/5.
-2*u**2*(u - 37)**3/5
Let -5*c**3 - 100*c**2 - 85*c + 190 = 0. Calculate c.
-19, -2, 1
Solve 4*h**3 + 16372*h**2 + 16760832*h + 16744464 = 0 for h.
-2046, -1
Find y, given that -5*y**3 + 6840*y**2 - 3119040*y + 474094080 = 0.
456
Factor -4*y**2 + 76*y - 136.
-4*(y - 17)*(y - 2)
Factor 5*d**2 - 85*d - 300.
5*(d - 20)*(d + 3)
Factor -a**2/6 - 5*a/2 + 8/3.
-(a - 1)*(a + 16)/6
Factor -j**2/7 + 144*j/7 + 145/7.
-(j - 145)*(j + 1)/7
Factor 2*z**4/13 + 6*z**3/13 - 2*z**2/13 - 6*z/13.
2*z*(z - 1)*(z + 1)*(z + 3)/13
What is u in 2*u**4/5 - 24*u**2/5 + 32*u/5 = 0?
-4, 0, 2
Suppose 3*r**5 - 33*r**4 + 129*r**3 - 231*r**2 + 192*r - 60 = 0. Calculate r.
1, 2, 5
Find j such that -4*j**3/5 + 104*j**2/5 + 236*j/5 - 336/5 = 0.
-3, 1, 28
Let -2*z**3 - 14*z**2 + 68*z + 80 = 0. Calculate z.
-10, -1, 4
Find p, given that -2*p**2/17 + 38*p/17 + 132/17 = 0.
-3, 22
Factor -a**3/5 + 2*a**2/5 + 16*a/5 - 32/5.
-(a - 4)*(a - 2)*(a + 4)/5
Factor -2*b**3/15 - 406*b**2/5 + 1632*b/5 - 4904/15.
-2*(b - 2)**2*(b + 613)/15
What is l in 16*l**3 + 48*l**2 + 36*l + 8 = 0?
-2, -1/2
Solve 4*w**2 + 64*w - 144 = 0.
-18, 2
Factor -2*j**5 + 100*j**4 - 98*j**3.
-2*j**3*(j - 49)*(j - 1)
What is q in 3*q**4/4 - 9*q**3/4 - 21*q**2/2 + 36*q - 24 = 0?
-4, 1, 2, 4
Find b, given that 1458*b**4/23 + 6048*b**3/23 + 5246*b**2/23 + 680*b/23 + 24/23 = 0.
-3, -1, -2/27
Find a such that -2*a**4/11 + 4*a**3 + 144*a**2/11 + 148*a/11 + 50/11 = 0.
-1, 25
Factor -10*c**4 + 38*c**3 - 32*c**2 - 8*c.
-2*c*(c - 2)**2*(5*c + 1)
What is l in 2*l**5/13 - 170*l**4/13 + 498*l**3/13 - 38*l**2 + 164*l/13 = 0?
0, 1, 82
Find a such that -2*a**3/9 - 82*a**2/3 - 3362*a/3 - 137842/9 = 0.
-41
Solve -4*q**5 + 264*q**3 - 512*q**2 + 252*q = 0.
-9, 0, 1, 7
What is y in -29*y**3 + 153*y**2/4 + 41*y - 3 = 0?
-3/4, 2/29, 2
Factor 2*q**3/7 + 386*q**2/7 + 19190*q/7 + 54150/7.
2*(q + 3)*(q + 95)**2/7
Determine m, given that -3*m**4/5 - 51*m**3/5 - 51*m**2/5 + 111*m - 90 = 0.
-15, -5, 1, 2
Solve -3*i**2/7 + 96*i/7 + 99/7 = 0.
-1, 33
Solve 3*d**5 + 12*d**4 - 9*d**3 - 66*d**2 - 12*d + 72 = 0.
-3, -2, 1, 2
Determine s so that s**4/6 - 98*s**3/3 + 4994*s**2/3 - 6272*s + 6144 = 0.
2, 96
Find h, given that -32*h**4 + 172*h**3 + 152*h**2 - 172*h - 120 = 0.
-1, -5/8, 1, 6
Determine p, given that 4*p**4 + 576*p**3 + 22912*p**2 + 156672*p + 295936 = 0.
-68, -4
Find l such that l**5 + 4*l**4 - 6*l**3 - 32*l**2 - 35*l - 12 = 0.
-4, -1, 3
Let u**5 - 7*u**4 + 4*u**3 + 12*u**2 = 0. Calculate u.
-1, 0, 2, 6
Factor -y**3 + 44*y**2 - 37*y - 258.
-(y - 43)*(y - 3)*(y + 2)
Let 5*l**3/3 + 32*l**2/3 - 68*l/3 - 32/3 = 0. Calculate l.
-8, -2/5, 2
Factor 12*b**2 + 789*b/2 + 336.
3*(b + 32)*(8*b + 7)/2
Solve -c**2/2 - 111*c/2 + 351 = 0.
-117, 6
Solve 3*s**5 - 72*s**4 + 336*s**3 - 198*s**2 - 339*s + 270 = 0 for s.
-1, 1, 5, 18
Let a**2/2 - 11*a/2 - 21 = 0. Calculate a.
-3, 14
Factor -p**4/2 + 11*p**2/2 + 9*p + 4.
-(p - 4)*(p + 1)**2*(p + 2)/2
Factor -a**4 + 3*a**3 - 4*a.
-a*(a - 2)**2*(a + 1)
What is g in 4*g**2 - 100*g + 616 = 0?
11, 14
Factor 5*z**2 - 110*z - 11400.
5*(z - 60)*(z + 38)
Determine h so that -15*h**5 - 295*h**4 - 1105*h**3 - 745*h**2 + 1260*h + 900 = 0.
-15, -3, -2, -2/3, 1
Determine z so that 3*z**3 - 1194*z**2 = 0.
0, 398
Factor -2*z**4 + 2988*z**3 - 1121978*z**2 + 4452120*z - 4440200.
-2*(z - 745)**2*(z - 2)**2
Solve -4*i**3/3 + 220*i**2/3 - 832*i/3 + 272 = 0.
2, 51
Solve -2*o**3 + 268*o**2 + 2240*o + 4544 = 0 for o.
-4, 142
Factor z**3 - 2*z**2.
z**2*(z - 2)
Determine f so that -f**4/6 - f**3/2 + f**2/2 + 7*f/6 - 1 = 0.
-3, -2, 1
Solve -2*c**3 + 346*c**2 - 686*c + 342 = 0.
1, 171
Factor 6*s**4 - 314*s**3 - 212*s**2.
2*s**2*(s - 53)*(3*s + 2)
Find j such that 2*j**4/11 + 6*j**3/11 - 4*j**2/11 - 24*j/11 - 16/11 = 0.
-2, -1, 2
Solve 3*m**5/2 - 53*m**4/3 + 167*m**3/6 + 53*m**2/3 - 88*m/3 = 0 for m.
-1, 0, 1, 2, 88/9
Suppose -3*s**3 - 297*s**2 + 2568*s = 0. What is s?
-107, 0, 8
Factor 5*n**2 + 155*n - 330.
5*(n - 2)*(n + 33)
Find n such that 7*n**2/3 - n/6 = 0.
0, 1/14
Factor 3*r**2 + 594*r - 3672.
3*(r - 6)*(r + 204)
Factor 2*x**4/11 + 10*x**3/11 + 8*x**2/11.
2*x**2*(x + 1)*(x + 4)/11
Suppose 3*m**5/2 + 99*m**4/4 - 9*m**3/2 - 285*m**2/4 + 99*m/2 = 0. Calculate m.
-33/2, -2, 0, 1
Let 2*x**4/11 + 4*x**3 - 2*x**2/11 - 4*x = 0. Calculate x.
-22, -1, 0, 1
Factor 2*q**3 - 162*q**2 + 4374*q - 39366.
2*(q - 27)**3
Determine j so that -j**3/7 + 375*j**2 - 328125*j + 95703125 = 0.
875
Find l, given that l**2/4 + 1079*l/2 + 1164241/4 = 0.
-1079
Suppose -a**3/4 - 5*a**2/4 + 7*a/2 = 0. What is a?
-7, 0, 2
Factor 15*g**2/2 - 14607*g/2 - 1461.
3*(g - 974)*(5*g + 1)/2
What is z in -z**5 - 54*z**4 - 781*z**3 - 1404*z**2 - 676*z = 0?
-26, -1, 0
Factor -2*k**2 - 324*k - 13122.
-2*(k + 81)**2
Factor -2*p**5/7 + 6*p**4/7 + 18*p**3/7 + 10*p**2/7.
-2*p**2*(p - 5)*(p + 1)**2/7
Determine z, given that -2*z**5/17 - 6*z**4/17 + 8*z**3/17 + 32*z**2/17 - 32/17 = 0.
-2, 1, 2
Suppose -3*x**5 + 15*x**4 - 24*x**3 + 12*x**2 = 0. Calculate x.
0, 1, 2
Suppose -2*p**3/5 + 44*p**2/5 - 238*p/5 + 196/5 = 0. Calculate p.
1, 7, 14
Find g, given that 2*g**5 - 10*g**4 + 16*g**3 - 8*g**2 = 0.
0, 1, 2
Suppose -3*q**3/8 - 39*q**2/2 - 303*q/8 - 75/4 = 0. What is q?
-50, -1
Let 6*h**2/5 + 28*h/5 - 2 = 0. Calculate h.
-5, 1/3
Factor 7*y**4/9 + 5063*y**3/9 + 135683*y**2 + 98331133*y/9 + 27995042/9.
(y + 241)**3*(7*y + 2)/9
Find y such that 36*y**4 + 80*y**3 - 20*y**2 - 80*y - 16 = 0.
-2, -1, -2/9, 1
Solve -5*p**3 + 110*p**2 = 0.
0, 22
Factor -2*v**3/9 - 4*v**2/3 + 32*v/9.
-2*v*(v - 2)*(v + 8)/9
What is l in -3*l**3 - 63*l**2 + 147*l + 207 = 0?
-23, -1, 3
Solve -z**2/2 + 210*z - 22050 = 0 for z.
210
Suppose -2*h**2/23 - 228*h/23 + 464/23 = 0. What is h?
-116, 2
Factor -y**3 + 31*y**2 + 100*y + 68.
-(y - 34)*(y + 1)*(y + 2)
Factor -4*v**4 + 4*v**3 + 20*v**2 + 12*v.
-4*v*(v - 3)*(v + 1)**2
Factor -y**3/3 + 1166*y**2/3 - 339889*y/3.
-y*(y - 583)**2/3
Determine f, given that 2*f**4 - 60*f**3 + 368*f**2 + 1536*f - 4096 = 0.
-4, 2, 16
Factor -2*o**3 + 38*o**2 + 826*o + 3234.
-2*(o - 33)*(o + 7)**2
Factor -20*n**2 - 95*n + 150.
-5*(n + 6)*(4*n - 5)
Let -3*p**2 + 156*p - 2025 = 0. What is p?
25, 27
What is w in 3*w**2 + 3036*w + 9081 = 0?
-1009, -3
Factor p**3/4 - 183*p**2/4 - p/4 + 183/4.
(p - 183)*(p - 1)*(p + 1)/4
Determine a so that 5*a**2 - 420*a + 5940 = 0.
18, 66
What is q in 2*q**3 - 2*q**2 - 32*q - 40 = 0?
-2, 5
Solve 5*b**2 + 37*b - 24 = 0 for b.
-8, 3/5
Factor 2*k**4/3 + 104*k**3/3 + 2024*k**2/3 + 5824*k + 18816.
2*(k + 12)**2*(k + 14)**2/3
Factor -26*d**2/9 + 22*d/9 + 16/3.
-2*(d + 1)*(13*d - 24)/9
Suppose -2*d**2/9 + 20*d/9 - 14/3 = 0. Calculate d.
3, 7
Suppose -9*b**5 - 4965*b**4 - 688869*b**3 - 1131075*b**2 + 453750*b = 0. What is b?
-275, -2, 0, 1/3
Suppose 3*s**4/7 - 120*s**3 - 1704*s**2/7 + 480*s + 6768/7 = 0. What is s?
-2, 2, 282
Factor x**2/4 - 341*x + 116281.
(x - 682)**2/4
Factor d**4 + 824*d**3 + 170565*d**2 + 337842*d.
d*(d + 2)*(d + 411)**2
Factor 25*r**2 - 45*r + 20.
5*(r - 1)*(5*r - 4)
Suppose 4*y**2 + 20*y - 96 = 0. Calculate y.
-8, 3
Suppose 2*x**5 - 2*x**4 - 44*x**3 - 88*x**2 - 48*x = 0. What is x?
-2, -1, 0, 6
Determine u, given that -u**5/2 + u**4 + 7*u**3/2 - 10*u**2 + 6*u = 0.
-3, 0, 1, 2
Let 7*a**5/2 - 73*a**4/2 + 57*a**3 + 234*a**2 - 108*a = 0. What is a?
-2, 0, 3/7, 6
Determine t, given that -2*t**4/5 + 34*t**3/5 - 168*t**2/5 + 216*t/5 = 0.
0, 2, 6, 9
Factor 4*n**3/7 + 4*n**2 - 4*n/7 - 4.
4*(n - 1)*(n + 1)*(n + 7