4 + 23*r**3/2 = 0.
-23, -2, 0
Determine k so that -2*k**2/5 - 240*k + 1202/5 = 0.
-601, 1
Determine s, given that s**4/4 + 7*s**3/2 + 3*s**2 - 135*s/2 + 243/4 = 0.
-9, 1, 3
Determine u, given that -u**3/2 - 4*u**2 - 21*u/2 - 9 = 0.
-3, -2
Find y such that -y**2/7 + 1258*y/7 - 1257/7 = 0.
1, 1257
Solve -3*u**4 + 120*u**3 + 1569*u**2 - 3486*u + 1800 = 0.
-12, 1, 50
Find k, given that k**5 + 7*k**4 + 14*k**3 + 8*k**2 = 0.
-4, -2, -1, 0
Factor x**5 + 72*x**4 + 1796*x**3 + 17066*x**2 + 39675*x + 24334.
(x + 1)*(x + 2)*(x + 23)**3
Factor -3*f**2 - 6762*f - 3810387.
-3*(f + 1127)**2
Factor -2*x**2/15 - 88*x/3 + 296/5.
-2*(x - 2)*(x + 222)/15
Determine n, given that 21*n**2/5 + 372*n/5 - 108/5 = 0.
-18, 2/7
Factor -w**2/2 + 19*w/3 + 13/6.
-(w - 13)*(3*w + 1)/6
Suppose -4*j**4 + 556*j**3 - 1616*j**2 - 2176*j = 0. Calculate j.
-1, 0, 4, 136
Let 2*b**3/7 - 56*b**2 + 2744*b = 0. What is b?
0, 98
Solve -5*q**2 + 980*q + 985 = 0.
-1, 197
Determine s, given that s**3/4 + 3*s**2/2 - 4*s = 0.
-8, 0, 2
Factor -5*d**4 + 75*d**3 - 130*d**2.
-5*d**2*(d - 13)*(d - 2)
Factor 3*p**3/5 - 669*p**2/5 + 36273*p/5 + 114921/5.
3*(p - 113)**2*(p + 3)/5
Factor -6*n**4/7 - 18*n**3/7 + 6*n**2/7 + 18*n/7.
-6*n*(n - 1)*(n + 1)*(n + 3)/7
Determine u, given that u**4/2 - u**3/2 - 15*u**2/2 - 23*u/2 - 5 = 0.
-2, -1, 5
Let -4*x**4 + 20*x**3 + 52*x**2 + 28*x = 0. What is x?
-1, 0, 7
Solve -i**4/5 + 14*i**3/5 - 61*i**2/5 + 84*i/5 = 0 for i.
0, 3, 4, 7
Solve -5*u**4 - 1955*u**3 - 253485*u**2 - 10725625*u + 22480910 = 0 for u.
-131, 2
What is b in -b**3/10 + 128*b**2/5 - 16637*b/10 + 16129/5 = 0?
2, 127
Determine b, given that -b**2 + 11*b - 18 = 0.
2, 9
Solve -2*a**4/21 - 2*a**3/21 + 16*a**2/21 + 8*a/7 = 0 for a.
-2, 0, 3
Factor n**2/4 + 28*n + 111/4.
(n + 1)*(n + 111)/4
Let 147518145*u**5 - 445418865*u**4 + 303648120*u**3 - 5784520*u**2 + 37200*u - 80 = 0. Calculate u.
2/309, 1, 2
Let -2*n**4/3 - 70*n**3/3 - 526*n**2/3 + 1270*n/3 - 224 = 0. Calculate n.
-21, -16, 1
Find x such that 75*x**4/4 + 960*x**3 + 13728*x**2 + 36864*x + 27648 = 0.
-24, -8/5
Factor 3*i**3/5 + 12*i**2 + 144*i/5 - 1728/5.
3*(i - 4)*(i + 12)**2/5
Factor -2*i**3/15 - 8*i**2/15 - 8*i/15.
-2*i*(i + 2)**2/15
Suppose -c**3 + 49*c**2/4 - 23*c + 5 = 0. Calculate c.
1/4, 2, 10
What is f in -4*f**3 - 16*f**2 - 20*f - 8 = 0?
-2, -1
Suppose -2*m**3/3 + 6*m**2 + 20*m/3 = 0. What is m?
-1, 0, 10
What is s in -5*s**4 + 455*s**3 - 3015*s**2 + 6345*s - 3780 = 0?
1, 3, 84
Factor -h**3 + 9*h**2 - 15*h - 25.
-(h - 5)**2*(h + 1)
Determine g so that g**5/7 + 12*g**4/7 - g**3/7 - 12*g**2/7 = 0.
-12, -1, 0, 1
Factor -3*w**3 - 285*w**2 - 834*w - 552.
-3*(w + 1)*(w + 2)*(w + 92)
Solve -y**5 - 94*y**4 - 2300*y**3 - 4232*y**2 = 0.
-46, -2, 0
Factor 74*d**2/9 + 8536*d/3 + 1384/9.
2*(d + 346)*(37*d + 2)/9
Find u, given that 3*u**2 - 42*u = 0.
0, 14
Suppose 2*s**5 + 42*s**4 + 168*s**3 - 1312*s**2 - 8640*s - 7200 = 0. What is s?
-10, -6, -1, 6
Solve 32*p**5 - 356*p**4 + 811*p**3 + 1067*p**2 - 168*p - 36 = 0.
-1, -1/8, 1/4, 6
Let 5*r**3 + 230*r**2 - 245*r - 470 = 0. Calculate r.
-47, -1, 2
Let 3*h**5 + 21*h**4 + 39*h**3 + 3*h**2 - 42*h - 24 = 0. Calculate h.
-4, -2, -1, 1
Factor 2*g**2/9 + 538*g/9.
2*g*(g + 269)/9
Determine y, given that y**3 - 166*y**2 - 1735*y - 4400 = 0.
-5, 176
Factor n**3/4 - n**2/2.
n**2*(n - 2)/4
Let 29791*p**3/8 - 147033*p**2/8 + 241893*p/8 - 132651/8 = 0. What is p?
51/31
Factor -275*y**3 + 3015*y**2 - 8140*y - 300.
-5*(y - 6)*(y - 5)*(55*y + 2)
Factor -2*u**2/3 - 2*u/3.
-2*u*(u + 1)/3
What is w in -2*w**4/7 - 12*w**3/7 + 2*w**2 = 0?
-7, 0, 1
Determine r, given that 3*r**2 + 714*r + 8775 = 0.
-225, -13
Factor 2*b**3 + 232*b**2 + 6490*b - 13924.
2*(b - 2)*(b + 59)**2
Solve -4*r**4 + 40*r**2 - 36 = 0.
-3, -1, 1, 3
Solve q**3/3 + 173*q**2 + 29929*q + 5177717/3 = 0 for q.
-173
What is x in 3*x**3/5 + 1248*x**2 - 12489*x/5 + 6246/5 = 0?
-2082, 1
Find w, given that -5*w**2 - 34040*w - 57936080 = 0.
-3404
Factor -11236*k**3 + 10388*k**2 + 832*k + 16.
-4*(k - 1)*(53*k + 2)**2
Find o such that 5*o**4 - 30*o**3 + 60*o**2 - 40*o = 0.
0, 2
Factor 3*j**2 - 150*j - 153.
3*(j - 51)*(j + 1)
Find r such that 3*r**2/5 - 144*r/5 + 276/5 = 0.
2, 46
Determine t so that 4*t**2 - 228*t + 848 = 0.
4, 53
Factor n**5 + 2*n**4 - 11*n**3 - 40*n**2 - 44*n - 16.
(n - 4)*(n + 1)**2*(n + 2)**2
Let 2*x**5 - 42*x**4 + 220*x**3 - 328*x**2 - 144*x + 448 = 0. Calculate x.
-1, 2, 4, 14
Factor -2*m**5 - 8*m**4 - 8*m**3 + 4*m**2 + 10*m + 4.
-2*(m - 1)*(m + 1)**3*(m + 2)
Factor 4*n**2 - 388*n.
4*n*(n - 97)
Suppose 5*r**2/6 + 28780*r/3 + 82828840/3 = 0. Calculate r.
-5756
Suppose -2*j**4/5 + 12*j**3/5 - 26*j**2/5 + 24*j/5 - 8/5 = 0. Calculate j.
1, 2
Suppose 5*o**3 + 55*o**2 + 140*o = 0. Calculate o.
-7, -4, 0
What is s in -2*s**2/15 + 434*s/15 = 0?
0, 217
Factor -5*u**4 + 30*u**2 + 40*u + 15.
-5*(u - 3)*(u + 1)**3
Factor 4*s**2 - 180*s + 656.
4*(s - 41)*(s - 4)
Factor i**3/4 + 5*i**2 - 23*i + 24.
(i - 2)**2*(i + 24)/4
Let 2*m**2/5 - 62*m/5 - 532/5 = 0. Calculate m.
-7, 38
What is a in -3*a**3 + 9*a**2 + 72*a + 84 = 0?
-2, 7
Factor -2*j**2 + 156*j - 3042.
-2*(j - 39)**2
Determine m so that 2*m**4/3 - 372*m**3 - 745*m**2/2 - 559*m/6 = 0.
-1/2, 0, 559
Suppose 2*q**3 + 1314*q**2 + 1312*q = 0. What is q?
-656, -1, 0
Suppose -2*f**4/7 + 36*f**2/7 + 64*f/7 + 30/7 = 0. Calculate f.
-3, -1, 5
Solve 14*c**3/3 - 22*c**2 + 64*c/3 + 8 = 0 for c.
-2/7, 2, 3
Factor -4*f**3 + 360*f**2 + 364*f.
-4*f*(f - 91)*(f + 1)
Determine k, given that 2*k**2/5 - 6*k - 32/5 = 0.
-1, 16
Determine p, given that -p**2/3 + 106*p/3 - 2809/3 = 0.
53
Find n, given that -2*n**4/5 + 396*n**3 - 488066*n**2/5 - 196416*n - 492032/5 = 0.
-1, 496
Factor 3*x**2/2 - 456*x.
3*x*(x - 304)/2
Factor 2*j**4/3 - 6*j**2 + 8*j/3 + 8.
2*(j - 2)**2*(j + 1)*(j + 3)/3
Factor -o**4/5 - 42*o**3/5 - 481*o**2/5 - 168*o - 80.
-(o + 1)**2*(o + 20)**2/5
Factor 55*u**2/7 + 53*u/7 - 2/7.
(u + 1)*(55*u - 2)/7
Factor -11*c**3 - 1747*c**2 + 318*c.
-c*(c + 159)*(11*c - 2)
Find k such that 2*k**2/3 - 10*k/3 + 8/3 = 0.
1, 4
Suppose 5*s**2 - 3095*s + 3090 = 0. Calculate s.
1, 618
Let q**5/2 + 9*q**4 - 19*q**3/2 = 0. What is q?
-19, 0, 1
Find u, given that -2*u**4 - 16*u**3 - 44*u**2 - 48*u - 18 = 0.
-3, -1
Let 4*t**5/5 - 27*t**4 - 35*t**3 = 0. What is t?
-5/4, 0, 35
Factor -l**3/4 + 11*l**2/2.
-l**2*(l - 22)/4
Factor -4*p**2 - 1256*p - 98596.
-4*(p + 157)**2
Solve 4*r**5/7 - 36*r**4/7 - 24*r**3 + 256*r**2/7 + 384*r/7 = 0.
-4, -1, 0, 2, 12
Factor 22*r**5/3 + 5*r**4 + 2*r**3/3.
r**3*(2*r + 1)*(11*r + 2)/3
Determine w so that -4*w**2 + 28*w = 0.
0, 7
Find k such that -2*k**4/9 - 2*k**3/9 + 2*k**2/3 + 2*k/9 - 4/9 = 0.
-2, -1, 1
Find z, given that -225*z**4/2 - 4049*z**3/3 - 5396*z**2 - 7184*z + 64/3 = 0.
-4, 2/675
Factor k**4/3 + 512*k**3/3 + 29240*k**2 + 5086400*k/3 + 9826000/3.
(k + 2)*(k + 170)**3/3
Find l, given that -2*l**3/3 - 2*l**2 + 6*l - 10/3 = 0.
-5, 1
Factor -4*d**3 - 2104*d**2 - 4196*d - 2096.
-4*(d + 1)**2*(d + 524)
Factor -u**2 - 22*u + 555.
-(u - 15)*(u + 37)
Factor -4*x**2 - 10440*x - 10436.
-4*(x + 1)*(x + 2609)
Factor 2*p**2/15 - 38*p/15 - 8/3.
2*(p - 20)*(p + 1)/15
Factor 2*j**3/13 - 48*j**2/13 - 50*j/13.
2*j*(j - 25)*(j + 1)/13
Suppose n**3/5 + 7*n**2/5 = 0. What is n?
-7, 0
Factor 8*r**3/7 - 542*r**2/7 - 688*r/7 - 138/7.
2*(r - 69)*(r + 1)*(4*r + 1)/7
Find q such that 628864*q**4/5 - 656608*q**3/5 + 28152*q**2/5 - 82*q + 2/5 = 0.
1/68, 1
Let -5*t**2 + 13005*t + 26030 = 0. Calculate t.
-2, 2603
What is l in 4*l**2 + 168*l = 0?
-42, 0
Factor -2*f**3/17 + 1642*f**2/17 - 336198*f/17 - 337842/17.
-2*(f - 411)**2*(f + 1)/17
Factor q**5/4 - 4*q**4 + 7*q**3 + q**2/2 - 29*q/4 + 7/2.
(q - 14)*(q - 1)**3*(q + 1)/4
Find g, given that -3*g**4/2 - 45*g**3 - 12*g**2 + 981*g + 3915/2 = 0.
-29, -3, 5
Suppose -2*w**5/9 + 10*w**4/9 - 10*w**3/9 - 10*w**2/9 + 4*w/3 = 0. Calculate w.
-1, 0, 1, 2, 3
Factor 4*l**2 + 206*l + 102.
2*(l + 51)*(2*l + 1)
Find u such that -u**3/4 + 9*u**2/4 + 5*u/2 = 0.
-1, 0, 10
Factor 2*k**3/17 - 78*k**2/17 - 930*k/17 - 2450/17.
2*(k - 49)*(k + 5)**2/17
Factor -10*d**2 - 8544*d + 5130.
-2*(d + 855)*(5*d - 3)
Solve 30*b**2 + 395*b + 65 = 0.
-13, -1/6
Factor -12*a**3 - 75*a**2 + 63*a.
-3*a*(a + 7)*(4*a - 3)
Solve -3*o**3/5 + 36*o**2/5 - 12*o = 0.
0, 2, 10
Solve -y**2/2 - 85*y - 7225/2 = 0 for y.
-85
Let 3*i