- 2*i**3/3 + 75*i**2 - 48*i - 4/3 = 0.
-2, -2/75, 1
Determine i so that -5*i**4 + 50*i**3 - 185*i**2 + 300*i - 180 = 0.
2, 3
Suppose 5*l**2/4 + 11*l/2 + 2 = 0. Calculate l.
-4, -2/5
What is k in 44*k**4/7 + 38*k**3/7 - 270*k**2/7 + 36*k/7 = 0?
-3, 0, 3/22, 2
Solve f**4/10 - 31*f**3/10 + 51*f**2/2 - 45*f/2 = 0.
0, 1, 15
Determine q so that -q**4 + 33*q**3 - 230*q**2 + 312*q + 576 = 0.
-1, 4, 6, 24
Suppose 2*m**3/11 - 6*m**2/11 = 0. Calculate m.
0, 3
Factor -4*f**2 + 716*f - 1416.
-4*(f - 177)*(f - 2)
Find o such that -9*o**4 - 56*o**3 - 125*o**2 - 118*o - 40 = 0.
-20/9, -2, -1
Let -2*s**3 + 26*s + 24 = 0. What is s?
-3, -1, 4
Determine c, given that -2*c**4 + 20*c**3 + 46*c**2 + 24*c = 0.
-1, 0, 12
Factor 5*u**3 + 2820*u**2.
5*u**2*(u + 564)
Determine b, given that -2*b**4/7 + 38*b**3/7 - 226*b**2/7 + 70*b - 300/7 = 0.
1, 3, 5, 10
Factor o**5/3 + o**4 - 190*o**3/3 - 2050*o**2/3 - 2625*o - 10625/3.
(o - 17)*(o + 5)**4/3
Factor j**5 + 720*j**4 + 131032*j**3 + 515520*j**2 + 512656*j.
j*(j + 2)**2*(j + 358)**2
Suppose 52142472*m**2 - 10212*m + 1/2 = 0. What is m?
1/10212
Let 3*r**2/2 - 141*r/2 - 225 = 0. Calculate r.
-3, 50
Factor q**2/3 + 70*q - 856/3.
(q - 4)*(q + 214)/3
Suppose g**4/3 - 5*g**3/3 - 7*g**2/3 + 5*g/3 + 2 = 0. Calculate g.
-1, 1, 6
Let -9*k**5 - 57*k**4 - 103*k**3 - 19*k**2 + 56*k - 12 = 0. Calculate k.
-3, -2, 1/3
Factor -2*y**3 + 130*y**2 + 266*y + 134.
-2*(y - 67)*(y + 1)**2
Factor -y**2/2 - 660*y - 217800.
-(y + 660)**2/2
Solve 5*z**4 + 75*z**3 + 70*z**2 = 0 for z.
-14, -1, 0
Factor -4*f**2/7 - 1858*f/7 - 928/7.
-2*(f + 464)*(2*f + 1)/7
Determine t, given that 136*t**4/7 + 834*t**3/7 + 1328*t**2/7 + 138*t/7 - 36/7 = 0.
-3, -1/4, 2/17
Let 80*r**2/23 - 58*r/23 - 22/23 = 0. Calculate r.
-11/40, 1
Factor -2*j**5/5 + 2*j**4 - 18*j**3/5 + 14*j**2/5 - 4*j/5.
-2*j*(j - 2)*(j - 1)**3/5
Factor 28*r**3 + 3480*r**2 + 4436*r + 984.
4*(r + 1)*(r + 123)*(7*r + 2)
Suppose -3*a**5 - 10*a**4 + 10*a**2 + 3*a = 0. Calculate a.
-3, -1, -1/3, 0, 1
Factor -l**2/6 - 232*l/3.
-l*(l + 464)/6
Suppose -30*j**2 + 242*j - 16 = 0. Calculate j.
1/15, 8
Factor 3*b**2/5 + 888*b/5 + 65712/5.
3*(b + 148)**2/5
Suppose g**5/5 - 22*g**4/5 - 74*g**3/5 - 28*g**2/5 + 73*g/5 + 10 = 0. What is g?
-2, -1, 1, 25
Find i such that 15*i**4/2 + 245*i**3 + 2640*i**2 + 9075*i - 6655/2 = 0.
-11, 1/3
Determine j so that 8*j**3/3 - 662*j**2/3 + 1130*j/3 + 108 = 0.
-1/4, 2, 81
Factor 3*q**4 - 24*q**3 + 72*q**2 - 96*q + 48.
3*(q - 2)**4
Suppose -d**2/11 + 106*d/11 - 408/11 = 0. Calculate d.
4, 102
Factor -4*l**5/3 + 20*l**4/3 - 12*l**3 + 28*l**2/3 - 8*l/3.
-4*l*(l - 2)*(l - 1)**3/3
Solve 2*m**3/9 + 26*m**2/3 - 452*m/9 - 176/3 = 0 for m.
-44, -1, 6
Determine m so that -5*m**2/2 - 29835*m - 178025445/2 = 0.
-5967
Let 10*g**3/17 + 262*g**2/17 - 508*g/17 - 112/17 = 0. Calculate g.
-28, -1/5, 2
Factor 16*u**5 + 60*u**4 + 36*u**3.
4*u**3*(u + 3)*(4*u + 3)
Let l**2 + 17*l + 30 = 0. Calculate l.
-15, -2
Factor -7*i**2/6 - i/3.
-i*(7*i + 2)/6
Factor f**3/9 - 4*f**2/3 - 4*f/9 + 80/3.
(f - 10)*(f - 6)*(f + 4)/9
Find k, given that -2*k**3/7 - 118*k**2/7 - 240*k + 1800/7 = 0.
-30, 1
Determine r, given that 3*r**2 + 153*r + 432 = 0.
-48, -3
Factor 5*u**3/2 - 35*u**2/2 - 85*u + 100.
5*(u - 10)*(u - 1)*(u + 4)/2
What is h in 2*h**4/3 - 10*h**3/3 + 10*h**2/3 + 10*h/3 - 4 = 0?
-1, 1, 2, 3
Solve -2*b**2/7 - 352*b/7 + 1810/7 = 0 for b.
-181, 5
Factor -3*a**4 + 42*a**3 - 108*a**2 + 102*a - 33.
-3*(a - 11)*(a - 1)**3
Solve 16*j**4 - 38*j**3 + 28*j**2 - 6*j = 0.
0, 3/8, 1
Factor -3*p**4 + 108*p**3 - 396*p**2 + 384*p.
-3*p*(p - 32)*(p - 2)**2
Factor -f**3/4 + 37*f**2/4 - 67*f/4 - 105/4.
-(f - 35)*(f - 3)*(f + 1)/4
Find q, given that 6*q**4/5 - 88*q**3/5 + 64*q**2 - 416*q/5 + 32 = 0.
2/3, 2, 10
Factor 4*b**4 + 516*b**3 + 512*b**2.
4*b**2*(b + 1)*(b + 128)
What is g in 21*g**2 + 1947*g - 558 = 0?
-93, 2/7
Factor 28*v**4 - 36*v**3 - 2008*v**2 + 576*v.
4*v*(v - 9)*(v + 8)*(7*v - 2)
Find g, given that -g**2/3 + 50*g/3 - 112 = 0.
8, 42
Determine x, given that -x**4 + 25*x**3 - 107*x**2 + 143*x - 60 = 0.
1, 3, 20
Factor -3*o**2/7 + 1503*o/7.
-3*o*(o - 501)/7
Find a such that 2*a**2 - 98*a + 96 = 0.
1, 48
Determine g so that -g**2/5 - 43*g/5 - 222/5 = 0.
-37, -6
Factor -4*y**3/3 - 344*y**2 - 20368*y + 718240/3.
-4*(y - 10)*(y + 134)**2/3
Factor -3*j**3 + 1179*j**2.
-3*j**2*(j - 393)
Solve -2*d**2/5 + 428*d/5 = 0.
0, 214
Factor l**4/8 - 33*l**3/8 + 197*l**2/8 - 399*l/8 + 117/4.
(l - 26)*(l - 3)**2*(l - 1)/8
Solve -10*x**2/7 - 596*x/7 + 240/7 = 0.
-60, 2/5
Find d such that 147*d**5/8 + 105*d**4/4 - 891*d**3/8 - 219*d**2/4 + 111*d/2 - 9 = 0.
-3, -1, 2/7, 2
Determine n so that n**3 + 4*n**2 + 4*n = 0.
-2, 0
Solve -4*o**2 + 64*o + 68 = 0 for o.
-1, 17
Factor -3*a**3/4 - 24363*a**2/4 - 49450797*a/4 + 49475163/4.
-3*(a - 1)*(a + 4061)**2/4
Factor -2*r**2/11 + 168*r/11 + 170/11.
-2*(r - 85)*(r + 1)/11
Suppose 2*r**3/3 - 416*r**2/3 - 1696*r/3 = 0. What is r?
-4, 0, 212
Factor -w**3 - 243*w**2 + 493*w + 735.
-(w - 3)*(w + 1)*(w + 245)
Determine c, given that -c**2/3 - 11*c/3 - 10 = 0.
-6, -5
Find j, given that -2*j**2 - 6*j - 4 = 0.
-2, -1
Solve 4*g**2 + 120*g - 544 = 0 for g.
-34, 4
Factor 10*i**3/3 - 92*i**2 + 616*i + 784/3.
2*(i - 14)**2*(5*i + 2)/3
Factor 3*m**3/2 + 39*m**2/2 + 48*m + 30.
3*(m + 1)*(m + 2)*(m + 10)/2
What is p in -p**4/5 + 762*p**3/5 - 38400*p**2 + 15597568*p/5 + 100663296/5 = 0?
-6, 256
What is u in -u**4/4 - 85*u**3/4 - 83*u**2/4 + 85*u/4 + 21 = 0?
-84, -1, 1
Solve 4*n**5 + 380*n**4 + 9472*n**3 + 16672*n**2 - 192832*n + 236992 = 0.
-46, -7, 2
Let 4*k**5 + 123*k**4 + 701*k**3 + 1293*k**2 + 495*k - 216 = 0. What is k?
-24, -3, -1, 1/4
Factor 2*p**3 + 164*p**2 - 170*p - 332.
2*(p - 2)*(p + 1)*(p + 83)
Determine n, given that -n**2/4 + 125*n/4 - 183/2 = 0.
3, 122
Find z such that 2*z**3/11 + 4452*z**2/11 + 3303384*z/11 + 817036976/11 = 0.
-742
Factor -2*i**2 - 280*i - 9800.
-2*(i + 70)**2
Determine m, given that m**5 - 7*m**4 + 5*m**3 + 7*m**2 - 6*m = 0.
-1, 0, 1, 6
Factor -2*d**2/9 + 4*d/9 + 2/3.
-2*(d - 3)*(d + 1)/9
Factor 3*c**2/2 - 159*c/2 + 78.
3*(c - 52)*(c - 1)/2
Factor -4*v**2 - 4*v + 840.
-4*(v - 14)*(v + 15)
Factor -5*h**3 - 200*h**2 + 5*h + 200.
-5*(h - 1)*(h + 1)*(h + 40)
Let -4*x**5/3 + 4*x**4 + 188*x**3/3 - 116*x**2 - 1192*x/3 - 224 = 0. What is x?
-6, -1, 4, 7
Factor -2*l**3/19 + 8*l/19.
-2*l*(l - 2)*(l + 2)/19
Let -9*a**2 - 276*a + 93 = 0. What is a?
-31, 1/3
Factor -4*a**3/9 - 1304*a**2/9 + 2620*a/9 - 1312/9.
-4*(a - 1)**2*(a + 328)/9
Let -2*p**4/5 - 14*p**3 + 74*p**2/5 + 14*p - 72/5 = 0. Calculate p.
-36, -1, 1
Factor 3*v**5 - 6*v**4 - 54*v**3 - 96*v**2 - 69*v - 18.
3*(v - 6)*(v + 1)**4
Factor x**4 + 28*x**3 - 30*x**2 - 28*x + 29.
(x - 1)**2*(x + 1)*(x + 29)
Factor 3*v**3 - 285*v**2 - 579*v - 291.
3*(v - 97)*(v + 1)**2
Factor -2*m**3/13 + 14*m**2.
-2*m**2*(m - 91)/13
Determine g, given that -2*g**2/9 - 6*g + 56/9 = 0.
-28, 1
Suppose 5*j**5 + 30*j**4 + 55*j**3 + 30*j**2 = 0. What is j?
-3, -2, -1, 0
What is q in -q**2/6 + 19*q/3 - 361/6 = 0?
19
Factor -2*i**2 + 708*i + 1424.
-2*(i - 356)*(i + 2)
Factor s**3/3 + s**2 - s/3 - 1.
(s - 1)*(s + 1)*(s + 3)/3
Find h such that -3*h**3 + 121*h**2 - 268*h + 76 = 0.
1/3, 2, 38
What is q in -q**4 + 2680*q**3 - 1787542*q**2 - 10797720*q - 16232841 = 0?
-3, 1343
Factor 3*v**2 + 11916*v + 11832588.
3*(v + 1986)**2
Factor -5*t**3 + 225*t**2 + 485*t - 705.
-5*(t - 47)*(t - 1)*(t + 3)
Factor -3*s**4/5 - 21*s**3 + 108*s**2/5.
-3*s**2*(s - 1)*(s + 36)/5
Suppose -z**2 + 205*z/3 - 68/3 = 0. What is z?
1/3, 68
Factor -4*v**3 + 72*v**2 - 276*v + 208.
-4*(v - 13)*(v - 4)*(v - 1)
Factor 2*f**5/7 + 76*f**4/7 - 158*f**3/7 + 80*f**2/7.
2*f**2*(f - 1)**2*(f + 40)/7
Factor 5*i**3 + 50*i**2 + 145*i + 100.
5*(i + 1)*(i + 4)*(i + 5)
Factor -182*g**2/9 - 736*g/9 - 32/9.
-2*(g + 4)*(91*g + 4)/9
Factor -q**2/6 + 8*q/3.
-q*(q - 16)/6
Factor -j**2/2 + 412*j - 84872.
-(j - 412)**2/2
Factor -r**2/7 - 9*r/7 + 10.
-(r - 5)*(r + 14)/7
Solve 2*d**4/9 - 1948*d**3/9 + 153502*d**2/3 + 6736184*d/9 + 23915528/9 = 0 for d.
-7, 494
Solve -2*x**5 - 88*x**4 + 686*x**3 - 1412*x**2 + 816*x = 0 for x.
-51, 0, 1, 2, 4
Find g, given that -63*g**2/4 + 187*g/4 + 3/2 = 0.
-2/63, 3
What is t in -t**5/4 + 31*t**4/4 = 0?
0, 31
Find b such that -5*b**3 - 4935*b**2 - 1623615*b - 178056445 = 0.
-329
Fa