 + 2)
Solve 3*h**4/5 - 147*h**3/5 + 57*h**2 - 141*h/5 = 0 for h.
0, 1, 47
What is n in -128*n**5 - 1440*n**4 - 226*n**3 + 1418*n**2 + 354*n + 22 = 0?
-11, -1, -1/8, 1
Suppose 3*r**2 - 162*r + 2187 = 0. Calculate r.
27
Factor h**2/2 - 2283*h + 5212089/2.
(h - 2283)**2/2
Let -4900*r**5 + 665*r**4 + 3600*r**3 + 895*r**2 - 200*r - 60 = 0. Calculate r.
-3/7, -2/5, -2/7, 1/4, 1
Let 11*f**4/4 + 39*f**3/4 - 79*f**2/2 + 9*f + 18 = 0. Calculate f.
-6, -6/11, 1, 2
Find y such that 100*y**3 - 7212*y**2 + 130464*y - 15552 = 0.
3/25, 36
Factor -2*h**3/7 + 20*h**2/7 + 2*h/7 - 20/7.
-2*(h - 10)*(h - 1)*(h + 1)/7
Factor 2*z**2/15 - 152*z/5 + 8664/5.
2*(z - 114)**2/15
Solve 3*f**3 + 171*f**2 - 723*f + 549 = 0.
-61, 1, 3
Factor -14*m**2/13 - 34*m/13 - 12/13.
-2*(m + 2)*(7*m + 3)/13
Factor -h**2 + 62*h - 432.
-(h - 54)*(h - 8)
Let z**4/4 + 3*z**3/2 + 11*z**2/4 + 3*z/2 = 0. Calculate z.
-3, -2, -1, 0
Let -4*c**3 - 36*c**2 + 184*c + 480 = 0. Calculate c.
-12, -2, 5
Determine d so that 3*d**3/2 + 12*d**2 + 51*d/2 + 15 = 0.
-5, -2, -1
Factor s**2/3 - 3*s + 20/3.
(s - 5)*(s - 4)/3
Suppose -i**2/5 + 558*i/5 - 77841/5 = 0. Calculate i.
279
Factor -i**2 + 9*i - 20.
-(i - 5)*(i - 4)
Determine z, given that 2*z**5 + 50*z**4 + 374*z**3 + 718*z**2 - 176*z - 968 = 0.
-11, -2, 1
Find k, given that -k**2 - 83*k - 462 = 0.
-77, -6
Factor -h**5/4 + 7*h**4/4 - 19*h**3/4 + 25*h**2/4 - 4*h + 1.
-(h - 2)**2*(h - 1)**3/4
Solve -2*l**4/3 - 52*l**3/3 + 218*l**2 - 768*l + 864 = 0.
-36, 3, 4
Find m such that -12*m**5 - 512*m**4 - 324*m**3 + 512*m**2 + 336*m = 0.
-42, -1, -2/3, 0, 1
Factor i**4/3 + i**3 + i**2/3 - i - 2/3.
(i - 1)*(i + 1)**2*(i + 2)/3
Let 3*a**2/2 - 57*a - 117/2 = 0. What is a?
-1, 39
Factor -5*g**3/2 + 70*g**2 + 5*g/2 - 70.
-5*(g - 28)*(g - 1)*(g + 1)/2
Find d, given that 2*d**4/15 - 2*d**3/3 - 44*d**2/15 - 32*d/15 = 0.
-2, -1, 0, 8
Determine t so that -2*t**2 - 24*t = 0.
-12, 0
What is s in 289*s**3/7 + 221*s**2/7 - 64*s/7 + 4/7 = 0?
-1, 2/17
Suppose -3*m**3 + 36*m**2 + 93*m - 126 = 0. What is m?
-3, 1, 14
Factor 18*a**3 + 40*a**2 + 26*a + 4.
2*(a + 1)**2*(9*a + 2)
Let q**5 - 65*q**4/6 - 245*q**3/6 - 95*q**2/2 - 125*q/6 - 7/3 = 0. Calculate q.
-1, -1/6, 14
Factor 25*h**3 + 2515*h**2 + 1500*h.
5*h*(h + 100)*(5*h + 3)
Determine m so that -54*m**5/5 - 12042*m**4/5 - 665298*m**3/5 + 673346*m**2/5 - 225344*m/5 + 25088/5 = 0.
-112, 1/3
Solve -2*b**3/11 - 64*b**2/11 + 8*b/11 + 256/11 = 0 for b.
-32, -2, 2
What is a in 45*a**5 + 915*a**4 + 4760*a**3 + 680*a**2 - 4400*a - 2000 = 0?
-10, -2/3, 1
Factor -5*m**3 - 40*m**2 - 65*m - 30.
-5*(m + 1)**2*(m + 6)
Factor -194*q**3 - 1165*q**2/3 - 584*q/3 - 1/3.
-(q + 1)**2*(582*q + 1)/3
Solve -242*q**5 + 1782*q**4 - 3286*q**3 + 2234*q**2 - 528*q + 40 = 0.
2/11, 1, 5
Factor -2*x**4/5 - 4*x**3 - 34*x**2/5 - 16*x/5.
-2*x*(x + 1)**2*(x + 8)/5
Solve -2*g**4/7 + 24*g**3/7 + 6*g**2/7 - 76*g/7 + 48/7 = 0 for g.
-2, 1, 12
Solve v**3/10 - 3*v**2 - 576*v/5 - 3888/5 = 0 for v.
-12, 54
Suppose 2*l**3/3 - 56*l**2/3 + 50*l/3 + 36 = 0. What is l?
-1, 2, 27
Factor 8*z**3/7 - 76*z**2/7 - 488*z/7 - 32.
4*(z - 14)*(z + 4)*(2*z + 1)/7
What is m in m**2 + 3*m - 18 = 0?
-6, 3
Determine t, given that -5*t**3 - 110*t**2 - 205*t - 100 = 0.
-20, -1
Factor 2*p**3/3 - 18*p**2 - 126*p - 198.
2*(p - 33)*(p + 3)**2/3
What is z in -z**5/7 + 5*z**4/7 - 9*z**3/7 + z**2 - 2*z/7 = 0?
0, 1, 2
Let u**2/4 = 0. What is u?
0
Let -6*g**4/5 + 213*g**3/5 + 1317*g**2/5 + 1503*g/5 - 1107/5 = 0. Calculate g.
-3, 1/2, 41
Suppose -l**5 - 11*l**4 + 42*l**3 = 0. Calculate l.
-14, 0, 3
Solve 2645*q**5 - 10120*q**4 - 20335*q**3 + 23150*q**2 + 4460*q + 200 = 0.
-2, -2/23, 1, 5
Find d, given that -3*d**2/7 + 78*d/7 - 207/7 = 0.
3, 23
What is z in 6*z**4 + 33*z**3 + 45*z**2 = 0?
-3, -5/2, 0
Factor w**2/3 + 83*w - 250/3.
(w - 1)*(w + 250)/3
Solve -2*i**4 - 90*i**3 + 502*i**2 + 90*i - 500 = 0.
-50, -1, 1, 5
Solve o**4/2 + 3*o**3/2 - 12*o**2 + 14*o = 0 for o.
-7, 0, 2
Factor -4*q**2/5 + 88*q/5 - 484/5.
-4*(q - 11)**2/5
Factor 2*h**4 - 8*h**3 - 6*h**2 + 28*h - 16.
2*(h - 4)*(h - 1)**2*(h + 2)
What is b in b**4/2 - 19*b**3/2 + 51*b**2/2 - 49*b/2 + 8 = 0?
1, 16
Solve -36*u**3 + 5768*u**2 - 12656*u + 2528 = 0 for u.
2/9, 2, 158
Factor -2*t**2 - 42*t + 324.
-2*(t - 6)*(t + 27)
Suppose -2*h**4 + 78*h**3 + 816*h**2 + 2272*h + 1536 = 0. Calculate h.
-4, -1, 48
Factor 8*h**4 - 38*h**3 + 38*h**2 + 12*h.
2*h*(h - 3)*(h - 2)*(4*h + 1)
Suppose f**4 - 16*f**3 + 45*f**2 + 250*f - 1000 = 0. What is f?
-4, 5, 10
Let 25*k**5 - 140*k**4 + 140*k**3 + 230*k**2 - 165*k - 90 = 0. Calculate k.
-1, -2/5, 1, 3
Factor -2*q**2/9 - 3068*q/9 - 1176578/9.
-2*(q + 767)**2/9
Solve -4*j**5 + 148*j**4 + 824*j**3 + 672*j**2 = 0.
-4, -1, 0, 42
Factor -5*o**2/2 - 25*o + 60.
-5*(o - 2)*(o + 12)/2
Suppose -2*s**5/7 - 116*s**4/7 - 240*s**3 + 116*s**2/7 + 1682*s/7 = 0. What is s?
-29, -1, 0, 1
Find y such that -y**4/3 + 5902*y**3/3 - 8708401*y**2/3 = 0.
0, 2951
Factor -2*d**3/7 - 16*d**2 - 218*d/7 - 108/7.
-2*(d + 1)**2*(d + 54)/7
Determine r, given that 3*r**5 + 18*r**4/5 - 102*r**3/5 - 216*r**2/5 - 129*r/5 - 18/5 = 0.
-2, -1, -1/5, 3
Factor d**3/5 + 16*d**2/5 + 13*d/5 - 6.
(d - 1)*(d + 2)*(d + 15)/5
Suppose 82*c**4 - 270*c**3 + 318*c**2 - 154*c + 24 = 0. Calculate c.
12/41, 1
Factor q**5/2 - 3*q**4/2 - 3*q**3/2 + 11*q**2/2 - 3*q.
q*(q - 3)*(q - 1)**2*(q + 2)/2
Find g such that 3*g**5/8 + 15*g**4/8 - 3*g**3/4 - 15*g**2/4 + 3*g/8 + 15/8 = 0.
-5, -1, 1
Solve x**5/7 + 9*x**4/7 + 3*x**3 - 17*x**2/7 - 102*x/7 - 72/7 = 0 for x.
-4, -3, -1, 2
Factor -2*q**3 - 260*q**2 - 254*q + 516.
-2*(q - 1)*(q + 2)*(q + 129)
Solve -7*v**5/2 + 387*v**4/2 - 5577*v**3/2 + 5909*v**2/2 + 4482*v - 1458 = 0 for v.
-1, 2/7, 2, 27
Factor 2*h**3/5 + 3*h**2/5 + h/5.
h*(h + 1)*(2*h + 1)/5
Find p such that -70*p**5/11 + 106*p**4/11 + 274*p**3/11 + 10*p**2 + 12*p/11 = 0.
-1, -2/7, -1/5, 0, 3
What is a in -2*a**3/3 + 356*a**2/3 - 5510*a + 20184 = 0?
4, 87
Factor -3*o**4 - 42*o**3 + 48*o**2 + 42*o - 45.
-3*(o - 1)**2*(o + 1)*(o + 15)
Let 4*j**5/5 + 88*j**4/5 + 48*j**3 + 232*j**2/5 + 76*j/5 = 0. What is j?
-19, -1, 0
Factor 4*d**2/7 - 1164*d/7 - 2344/7.
4*(d - 293)*(d + 2)/7
Factor 26*o**3/5 + 18*o**2 - 68*o/5 - 48/5.
2*(o - 1)*(o + 4)*(13*o + 6)/5
Let 4*b**5 - 4*b**4 - 64*b**3 - 80*b**2 = 0. What is b?
-2, 0, 5
Suppose -2*d**4/7 - 1364*d**3/7 - 235274*d**2/7 - 924792*d/7 - 919368/7 = 0. Calculate d.
-339, -2
Factor d**2/3 - 118*d + 10443.
(d - 177)**2/3
Factor -20*y**2 - 268*y - 104.
-4*(y + 13)*(5*y + 2)
Determine y, given that 3*y**3/4 - 39*y**2/4 + 33*y - 24 = 0.
1, 4, 8
Factor -52*f**2 + 1460*f + 1512.
-4*(f + 1)*(13*f - 378)
Factor -4*j**2/5 + 176*j - 9680.
-4*(j - 110)**2/5
Let 8*g**3 - 172*g**2/3 + 196/3 = 0. What is g?
-1, 7/6, 7
Let -3*j**2 + 120*j - 117 = 0. What is j?
1, 39
Factor -x**3 + 60*x**2 - 837*x - 1922.
-(x - 31)**2*(x + 2)
Determine f, given that f**5 - 31*f**3 - 54*f**2 + 108*f + 216 = 0.
-3, -2, 2, 6
Let -5*d**3 + 490*d**2 + 495*d = 0. Calculate d.
-1, 0, 99
Find r, given that 2*r**5/15 + 2*r**4/5 - 4*r**3/15 - 8*r**2/5 - 16*r/15 = 0.
-2, -1, 0, 2
Suppose -87*t**3 + 1224*t**2 - 4347*t + 294 = 0. What is t?
2/29, 7
Let b**2/4 - 7*b/2 + 6 = 0. What is b?
2, 12
Factor 2*t**2/15 - 16*t/3 + 728/15.
2*(t - 26)*(t - 14)/15
Factor -2*q**5/13 - 86*q**4/13 + 368*q**3/13 - 376*q**2/13.
-2*q**2*(q - 2)**2*(q + 47)/13
Determine q, given that -2*q**5/3 + 1040*q**4/21 - 19462*q**3/21 + 5476*q**2/21 = 0.
0, 2/7, 37
Factor -3*q**4 - 175*q**3 - 386*q**2 + 336*q.
-q*(q + 3)*(q + 56)*(3*q - 2)
Factor t**5 - t**4 - 2*t**3.
t**3*(t - 2)*(t + 1)
Factor 20402*t**2/5 - 1616*t/5 + 32/5.
2*(101*t - 4)**2/5
What is m in -m**5/4 + m**4 + 45*m**3/4 = 0?
-5, 0, 9
Suppose 20*k**3 + 1795*k**2 - 5995*k + 4650 = 0. What is k?
-93, 5/4, 2
Factor -4*d**2 + 56*d + 204.
-4*(d - 17)*(d + 3)
Let 7*c**4 + 12*c**3 - 4*c**2 = 0. What is c?
-2, 0, 2/7
Factor -33*w**3 + 1326*w**2 - 13440*w + 2400.
-3*(w - 20)**2*(11*w - 2)
Determine r so that -459*r**5 + 1752*r**4 - 1955*r**3 + 482*r**2 + 188*r - 8 = 0.
-2/9, 2/51, 1, 2
Factor a**2/10 + 703*a/5 - 1407/10.
(a - 1)*(a + 1407)/10
Factor 2*m**5 - 374*m**4 + 1476*m**3 - 2204*m**2 + 1466*m - 366.
2*(m - 183)*(m - 1)**4
Find w, given that -w**2 - 324*w = 0.
-324, 0
Solve -3*d**4 + 15*d**3 + 75*d**2 - 15*d - 72 = 0 for d.
-3, -1, 1, 8
Solve 4*p**3 + 1