4 + 760*f**3 + 2100*f**2 + 1440*f.
5*f*(f + 1)*(f + 6)**2*(f + 8)
Let m**5/3 - m**4/3 - 9*m**3 + 27*m**2 - 18*m = 0. What is m?
-6, 0, 1, 3
Solve -45*c**2 + 67670*c + 15040 = 0 for c.
-2/9, 1504
Solve 3*o**2 + 1461*o + 1458 = 0 for o.
-486, -1
Solve 4*x**3 + 180*x**2 + 1356*x - 1540 = 0.
-35, -11, 1
Suppose -3*f**5 - 129*f**4 + 2289*f**3 - 5919*f**2 + 3762*f = 0. What is f?
-57, 0, 1, 2, 11
Factor 4*f**2 - 76*f + 72.
4*(f - 18)*(f - 1)
Factor -5*z**4 + 205*z**3 - 940*z**2 + 1460*z - 720.
-5*(z - 36)*(z - 2)**2*(z - 1)
Factor -n**3 + 8*n**2 - 12*n.
-n*(n - 6)*(n - 2)
Solve -12*j**4/5 + 2*j**3/5 + 34*j**2/5 - 32*j/5 + 8/5 = 0.
-2, 1/2, 2/3, 1
What is a in 2*a**3/7 + 382*a**2/7 + 376*a/7 - 760/7 = 0?
-190, -2, 1
Solve -2*c**3 + 30*c**2 - 76*c + 48 = 0 for c.
1, 2, 12
Factor 2*i**5/5 + 12*i**4 + 546*i**3/5 + 1352*i**2/5.
2*i**2*(i + 4)*(i + 13)**2/5
Solve -2*t**2/15 - 6514*t/15 + 2172/5 = 0.
-3258, 1
Find z, given that 9*z**5/4 + 33*z**4/2 + 4*z**3 - 17*z**2/2 + 7*z/4 = 0.
-7, -1, 0, 1/3
Solve -2*h**3 + 2*h**2 + 10*h + 6 = 0 for h.
-1, 3
Factor 2*v**4/11 + 38*v**3/11 + 160*v**2/11 - 200*v/11.
2*v*(v - 1)*(v + 10)**2/11
Solve -12*j**2/5 - 56*j/5 - 64/5 = 0 for j.
-8/3, -2
Let 2*t**4/13 - 8*t**3/13 + 10*t**2/13 - 4*t/13 = 0. What is t?
0, 1, 2
Factor 2*k**2 + 7*k + 6.
(k + 2)*(2*k + 3)
Factor 3*g**4 - 12*g**3 - 30*g**2 + 84*g - 45.
3*(g - 5)*(g - 1)**2*(g + 3)
Find f such that -3*f**2 - 168*f - 1029 = 0.
-49, -7
Factor -f**2/8 + 5*f + 78.
-(f - 52)*(f + 12)/8
Factor 5*k**3 - 55*k**2 - 125*k - 65.
5*(k - 13)*(k + 1)**2
Find c such that 3*c**4 - 30*c**3 + 45*c**2 + 270*c - 648 = 0.
-3, 3, 4, 6
Let -y**3/4 + 543*y**2/2 - 1083*y + 1082 = 0. Calculate y.
2, 1082
Determine u, given that -3*u**2 + 726*u + 729 = 0.
-1, 243
Factor p**4/4 + 7*p**3 + 12*p**2 - 28*p - 52.
(p - 2)*(p + 2)**2*(p + 26)/4
Factor -w**3 + 9*w**2 - 8*w.
-w*(w - 8)*(w - 1)
Factor 5*q**3 + 295*q**2 + 290*q.
5*q*(q + 1)*(q + 58)
Solve 13*b**5/5 - 28*b**4/5 + 4*b**3/5 = 0.
0, 2/13, 2
What is y in -4*y**4 - 72*y**3 - 60*y**2 + 136*y = 0?
-17, -2, 0, 1
Factor -5*j**2 - 1010*j + 1015.
-5*(j - 1)*(j + 203)
Factor 5*o**3 + 1095*o**2 + 59400*o - 60500.
5*(o - 1)*(o + 110)**2
Suppose p**4 - 6*p**3 = 0. What is p?
0, 6
Find z such that -z**2/4 + 1215*z/2 - 1476225/4 = 0.
1215
Solve 5*n**2 + 21240*n + 22556880 = 0 for n.
-2124
Determine p so that p**2/8 + 9*p - 37/2 = 0.
-74, 2
Factor 4*a**2 + 1088*a + 2160.
4*(a + 2)*(a + 270)
Factor -5*z**2/2 - 8510*z + 17025/2.
-5*(z - 1)*(z + 3405)/2
Factor 3*k**3/4 + 23*k**2/2 - 213*k/4 - 19.
(k - 4)*(k + 19)*(3*k + 1)/4
What is i in 2*i**2 - 40*i - 42 = 0?
-1, 21
Factor -15*b**4 + 66*b**3 - 69*b**2 + 18*b.
-3*b*(b - 3)*(b - 1)*(5*b - 2)
Determine d so that 100*d**3 + 208*d**2 + 16*d = 0.
-2, -2/25, 0
Factor -55*y**2 + 225*y/2 - 5.
-5*(y - 2)*(22*y - 1)/2
Factor -5*q**2 + 410*q - 8405.
-5*(q - 41)**2
Factor -p**2/2 - 9*p + 20.
-(p - 2)*(p + 20)/2
Solve -2*r**2/7 + 40*r/7 + 88/7 = 0.
-2, 22
Solve -2*z**4/11 - 194*z**3/11 + 2*z**2/11 + 194*z/11 = 0.
-97, -1, 0, 1
Factor j**3/2 + 73*j**2/2 - j/2 - 73/2.
(j - 1)*(j + 1)*(j + 73)/2
Determine c, given that -4*c**3/9 - 20*c**2/9 + 128*c/9 - 16 = 0.
-9, 2
Factor -2*t**2/9 + 68*t/3 - 578.
-2*(t - 51)**2/9
Factor -5*w**3/4 - 5*w**2/4 + 5*w/4 + 5/4.
-5*(w - 1)*(w + 1)**2/4
Factor -25*j**3 + 360*j**2 + 1075*j + 510.
-5*(j - 17)*(j + 2)*(5*j + 3)
Find q, given that 2*q**2/11 + 5754*q/11 = 0.
-2877, 0
Determine v so that -3*v**3 - 5214*v**2 + 10437*v - 5220 = 0.
-1740, 1
Determine p, given that 15*p**2 + 39*p + 18 = 0.
-2, -3/5
Factor -2*o**2 + 110*o + 600.
-2*(o - 60)*(o + 5)
Factor 2*q**4/17 + 22*q**3/17 + 48*q**2/17 - 72*q/17.
2*q*(q - 1)*(q + 6)**2/17
Find k, given that k**3/4 + 11*k**2/2 + 59*k/4 + 19/2 = 0.
-19, -2, -1
Factor -m**3/6 + 5*m**2 - 32*m - 256/3.
-(m - 16)**2*(m + 2)/6
What is z in -z**5 + 31*z**4 + 100*z**3 + 68*z**2 = 0?
-2, -1, 0, 34
Factor -3*a**2 - 24*a + 195.
-3*(a - 5)*(a + 13)
Factor -2*j**4/9 - 1688*j**3/9 - 119284*j**2/3 - 710648*j/9 - 354482/9.
-2*(j + 1)**2*(j + 421)**2/9
Factor 3*c**2/8 + 3849*c/4 + 4938267/8.
3*(c + 1283)**2/8
Factor -9*k**2/2 - 251*k + 56.
-(k + 56)*(9*k - 2)/2
Factor g**5 - g**4 - 6*g**3 + 14*g**2 - 11*g + 3.
(g - 1)**4*(g + 3)
Factor 3*z**2 - 15*z - 72.
3*(z - 8)*(z + 3)
Suppose w**5/11 - 18*w**4/11 - w**3/11 + 18*w**2/11 = 0. What is w?
-1, 0, 1, 18
Factor -12*x**3 - 45*x**2 + 12*x.
-3*x*(x + 4)*(4*x - 1)
Factor 2*c**2/13 + 96*c/13 - 98/13.
2*(c - 1)*(c + 49)/13
Suppose 4*l**3 + 1976*l**2 + 240036*l - 992016 = 0. What is l?
-249, 4
Determine m, given that -27*m**4 + 1410*m**3 - 3039*m**2 + 1956*m - 300 = 0.
2/9, 1, 50
Solve 3*s**4/5 + 9*s**3 - 162*s**2/5 + 12*s/5 + 216/5 = 0 for s.
-18, -1, 2
Determine m so that -2*m**5 + 26*m**4 + 10*m**3 - 130*m**2 - 8*m + 104 = 0.
-2, -1, 1, 2, 13
Find h such that 3*h**3 - 78*h**2 + 465*h + 546 = 0.
-1, 13, 14
Let -3*j**5 + 12*j**4 + 15*j**3 - 108*j**2 + 108*j = 0. Calculate j.
-3, 0, 2, 3
Find z such that -14*z**5/19 + 102*z**4/19 + 70*z**3/19 - 42*z**2 + 808*z/19 - 168/19 = 0.
-3, 2/7, 1, 2, 7
Factor -3*b**2/7 + 1836*b - 1966356.
-3*(b - 2142)**2/7
Suppose 2*t**2/13 - 276*t/13 + 274/13 = 0. What is t?
1, 137
Solve 3*t**2 - 390*t + 12675 = 0 for t.
65
Factor -2*o**3/13 - 8*o**2/13 + 42*o/13.
-2*o*(o - 3)*(o + 7)/13
Factor -7*a**4 - 142*a**3 - 579*a**2 + 1540*a + 484.
-(a - 2)*(a + 11)**2*(7*a + 2)
Factor 4*c**3/3 - 16*c**2/3 - 4*c/3 + 16/3.
4*(c - 4)*(c - 1)*(c + 1)/3
Suppose -u**2/4 + 97*u/4 + 99/2 = 0. Calculate u.
-2, 99
Determine z, given that 5*z**2 - 25*z - 30 = 0.
-1, 6
Factor o**4/4 - 49*o**3/4 - 165*o**2/4 + 441*o/4 + 351.
(o - 52)*(o - 3)*(o + 3)**2/4
Factor -r**2/4 + 19*r/2 - 105/4.
-(r - 35)*(r - 3)/4
Factor -l**5/5 + 386*l**4/5 - 7901*l**3 + 437644*l**2/5 - 1702448*l/5 + 2238016/5.
-(l - 187)**2*(l - 4)**3/5
Find u such that 4*u**5 + 24*u**4 + 20*u**3 - 48*u**2 = 0.
-4, -3, 0, 1
Solve -21*r**2/2 - 67*r/6 - 2/3 = 0.
-1, -4/63
Factor -t**3 - 12*t**2 + t + 12.
-(t - 1)*(t + 1)*(t + 12)
Find o, given that -2*o**5/15 + 184*o**4/15 - 3626*o**3/15 - 28748*o**2/15 - 6272*o/15 + 153664/15 = 0.
-4, 2, 49
Factor 2*l**5/11 + 12*l**4/11 + 24*l**3/11 + 16*l**2/11.
2*l**2*(l + 2)**3/11
Factor 4*b**3 - 16*b**2 - 4*b + 16.
4*(b - 4)*(b - 1)*(b + 1)
Factor 2*u**4/7 + 160*u**3/7 + 624*u**2 + 43264*u/7 + 70304/7.
2*(u + 2)*(u + 26)**3/7
Find x such that 2*x**5 + 158*x**4 - 6*x**3 - 470*x**2 + 316*x = 0.
-79, -2, 0, 1
Factor 5*n**4 + 855*n**3 - 15*n**2 - 2555*n + 1710.
5*(n - 1)**2*(n + 2)*(n + 171)
Determine b so that 2*b**2/5 - 1204*b/5 + 1202/5 = 0.
1, 601
Factor -g**3/9 + 67*g**2/9 - 256*g/9 + 28.
-(g - 63)*(g - 2)**2/9
Factor 2*v**3/15 + 4*v**2/15 - 8*v/15 - 16/15.
2*(v - 2)*(v + 2)**2/15
Factor -2*v**2/7 + 164*v/7 + 48.
-2*(v - 84)*(v + 2)/7
Let 5*l**2 + 475*l = 0. Calculate l.
-95, 0
Solve 5*w**2 - 225*w + 1750 = 0 for w.
10, 35
Factor -6*t**2 - 171*t + 87.
-3*(t + 29)*(2*t - 1)
Factor -l**2/4 - 160*l - 25600.
-(l + 320)**2/4
Factor 5*l**3 + 5390*l**2 + 1457980*l + 2894440.
5*(l + 2)*(l + 538)**2
Let -2*q**4 + 56*q**3 - 236*q**2 + 120*q + 414 = 0. Calculate q.
-1, 3, 23
Factor -2*x**3/23 - 420*x**2/23 + 9000*x/23 - 2000.
-2*(x - 10)**2*(x + 230)/23
Find z, given that -3*z**2 - 30*z + 117 = 0.
-13, 3
Factor -n**2 - 246*n + 2032.
-(n - 8)*(n + 254)
Determine t so that -t**2/3 - 5*t/3 = 0.
-5, 0
Solve -d**2/3 + 2*d/3 + 1 = 0 for d.
-1, 3
Let -q**5/3 + 8*q**4/3 + 2*q**3 - 40*q**2/3 - 61*q/3 - 8 = 0. Calculate q.
-1, 3, 8
Factor -2*u**3/9 - 2*u**2/3 - 2*u/3 - 2/9.
-2*(u + 1)**3/9
Factor 2*h**2 + 12*h - 224.
2*(h - 8)*(h + 14)
Factor 2*z**5 + 2*z**4/3 - 4*z**3/9.
2*z**3*(3*z - 1)*(3*z + 2)/9
What is k in -3*k**2 + 96*k - 261 = 0?
3, 29
Solve -75*m**4 - 11995*m**3 - 22975*m**2 - 10265*m + 790 = 0.
-158, -1, 1/15
Factor q**3/3 + 29*q**2/3.
q**2*(q + 29)/3
Factor 3*t**2/2 + 18*t.
3*t*(t + 12)/2
Find f such that -3*f**3/5 + 84*f**2/5 + 87*f/5 = 0.
-1, 0, 29
Suppose -5*v**4 + 380*v**3 - 7220*v**2 = 0. Calculate v.
0, 38
Factor -f**2/3 - 7*f - 20/3.
-(f + 1)*(f + 20)/3
Let n**2/2 - 22*n - 46 = 0. What is n?
-2, 46
Suppose 5*z**4/6 - 5*z**2 - 20*z/3 - 5/2 = 0. What is z?
-1, 3
Find s such that -2*s**3/5 + 10*s**2 - 132*s/5 = 0.
0, 3, 22
Solve -2*g**5/23 + 872*g**4/23 + 2628*g**3/23 + 2632*g**2/23 + 878*g/23 = 0.
-1, 0, 439
Solve 5*z**2 + 870*