+ 4)
Factor 3*a**2 - 14940*a + 18600300.
3*(a - 2490)**2
Find v, given that -v**3/6 + 49*v**2/3 - 416*v + 768 = 0.
2, 48
Find d such that -3*d**2/2 - 351*d/2 - 1749 = 0.
-106, -11
Solve -4*y**2 + 5160*y - 1664100 = 0.
645
Let -3*p**2/2 - 27*p - 51/2 = 0. Calculate p.
-17, -1
Determine g, given that 5*g**3 - 260*g**2 - 265*g = 0.
-1, 0, 53
Determine o so that 3*o**5/2 - 33*o**4/2 + 36*o**3 + 54*o**2 = 0.
-1, 0, 6
What is j in -4*j**4/7 + 32*j**3/7 - 76*j**2/7 + 48*j/7 = 0?
0, 1, 3, 4
Factor -3*v**2/4 - 1911*v/2 - 1217307/4.
-3*(v + 637)**2/4
Solve 39*w**4/2 + 159*w**3/2 - 246*w**2 - 90*w + 216 = 0.
-6, -1, 12/13, 2
Solve -6*z**3 + 1666*z**2 - 2764*z + 1104 = 0.
2/3, 1, 276
Find m, given that 2*m**3 - 244*m**2 + 6656*m + 49152 = 0.
-6, 64
Suppose -3*p**3 - 306*p**2 - 10404*p - 117912 = 0. What is p?
-34
Find d, given that -d**2/6 - 317*d/6 + 319/3 = 0.
-319, 2
Find j such that 140*j**3 - 25265*j**2 - 13565*j - 1810 = 0.
-2/7, -1/4, 181
Suppose -13*o**3/2 + 11*o**2 - 5*o/2 - 2 = 0. Calculate o.
-4/13, 1
Let -2*o**4/5 - 158*o**3/5 - 156*o**2/5 = 0. What is o?
-78, -1, 0
Find c such that 16*c**5 - 620*c**4 - 5916*c**3 - 13472*c**2 - 3008*c = 0.
-4, -1/4, 0, 47
Factor 4*q**4 + 16*q**3 - 112*q**2 + 128*q.
4*q*(q - 2)**2*(q + 8)
Find s such that 4*s**4/3 + 136*s**3/3 - 988*s**2/3 - 1120*s/3 = 0.
-40, -1, 0, 7
Let 5*c**2 - 170*c + 165 = 0. What is c?
1, 33
Let -q**5/5 - 323*q**4/5 - 27502*q**3/5 - 230346*q**2/5 - 674001*q/5 - 665523/5 = 0. Calculate q.
-157, -3
Factor -b**4/4 - 12*b**3 - 207*b**2/2 + 972*b - 6561/4.
-(b - 3)**2*(b + 27)**2/4
Suppose -o**3 + 4*o**2 + 51*o + 90 = 0. What is o?
-3, 10
Factor 2*w**2 + 538*w + 1068.
2*(w + 2)*(w + 267)
Factor b**2 - 148*b + 5476.
(b - 74)**2
Let 4*x**2 + 116*x - 1008 = 0. What is x?
-36, 7
Factor -q**3/4 - 5*q**2/4 - 2*q - 1.
-(q + 1)*(q + 2)**2/4
Let -2*t**2/7 + 6144*t/7 + 878 = 0. What is t?
-1, 3073
Factor -q**2/4 - 355*q/4 + 537/2.
-(q - 3)*(q + 358)/4
Factor 2*k**3/7 - 2*k - 12/7.
2*(k - 3)*(k + 1)*(k + 2)/7
Find s such that s**5/8 - 5*s**4/4 - 23*s**3/8 - 3*s**2/2 = 0.
-1, 0, 12
What is a in a**2/7 + 17*a/7 - 18/7 = 0?
-18, 1
Factor -z**4/9 + 35*z**3/9 + 200*z**2/9.
-z**2*(z - 40)*(z + 5)/9
Factor -2*l**3/5 + 76*l**2/5 + 754*l/5 - 828/5.
-2*(l - 46)*(l - 1)*(l + 9)/5
Factor 45*q**3 + 280*q**2 - 255*q - 70.
5*(q - 1)*(q + 7)*(9*q + 2)
Factor 3*v**3/4 - 5*v**2/2 - 133*v/4 - 45.
(v - 9)*(v + 4)*(3*v + 5)/4
Find y such that y**3/6 - 113*y**2/6 - 232*y/3 - 78 = 0.
-2, 117
Determine g, given that 2*g**5 + 42*g**4 + 194*g**3 - 42*g**2 - 196*g = 0.
-14, -7, -1, 0, 1
Find n, given that -8*n**5/11 - 674*n**4/11 + 1208*n**3/11 + 344*n**2/11 = 0.
-86, -1/4, 0, 2
Factor -2*s**3/5 - 16*s**2/5 - 14*s/5.
-2*s*(s + 1)*(s + 7)/5
Factor 2*t**4/9 + 10*t**3/3 + 118*t**2/9 + 10*t.
2*t*(t + 1)*(t + 5)*(t + 9)/9
Factor s**4/3 + 10*s**3/3 - 23*s**2/3 + 4*s.
s*(s - 1)**2*(s + 12)/3
Solve -4*v**3 - 6148*v**2 - 2353120*v + 7114800 = 0.
-770, 3
Factor 2*x**2 - 318*x - 320.
2*(x - 160)*(x + 1)
Determine d, given that 5*d**5 - 90*d**4 + 400*d**3 + 90*d**2 - 405*d = 0.
-1, 0, 1, 9
Factor 6*z**4/7 - 8*z**3/7 - 8*z**2/7.
2*z**2*(z - 2)*(3*z + 2)/7
Find q such that 2*q**5/11 - 514*q**4/11 + 32764*q**3/11 + 33796*q**2/11 - 32766*q/11 - 33282/11 = 0.
-1, 1, 129
Factor -6*c**4 - 9*c**3 + 54*c**2 - 24*c.
-3*c*(c - 2)*(c + 4)*(2*c - 1)
Factor 4*h**3/5 - 112*h**2/5 - 260*h - 1184/5.
4*(h - 37)*(h + 1)*(h + 8)/5
Find o such that -2*o**2 + 16*o + 40 = 0.
-2, 10
Determine y, given that 4*y**3 + 216*y**2 + 3120*y + 5408 = 0.
-26, -2
Let q**3 - 2*q**2 - 40*q - 64 = 0. Calculate q.
-4, -2, 8
Suppose -2*i**5/5 + 2264*i**4/5 - 855032*i**3/5 + 108013516*i**2/5 - 105459718*i/5 - 214330532/5 = 0. What is i?
-1, 2, 377
Factor 3*g**2 + 18*g + 15.
3*(g + 1)*(g + 5)
Determine d, given that 85*d**3/2 - 57*d**2 + 27*d/2 + 1 = 0.
-1/17, 2/5, 1
Factor -4*v**2/3 + 32*v/3 - 16.
-4*(v - 6)*(v - 2)/3
Factor 2*v**3/5 - 8*v**2/5.
2*v**2*(v - 4)/5
Factor 4*q**4/5 - 120*q**3 + 25812*q**2/5 - 49680*q + 685584/5.
4*(q - 69)**2*(q - 6)**2/5
Suppose 4*p**2 + 22048*p - 22052 = 0. What is p?
-5513, 1
Factor t**3/8 - 561*t**2/4 + 314721*t/8.
t*(t - 561)**2/8
Let -a**3 - 11*a**2 - 24*a + 36 = 0. What is a?
-6, 1
Let 3*w**3/2 - 3*w**2 - 9*w/2 = 0. Calculate w.
-1, 0, 3
Factor -s**4 - 9*s**3 - 7*s**2 + 9*s + 8.
-(s - 1)*(s + 1)**2*(s + 8)
Determine w so that -4*w**3 - 8*w**2 + 124*w - 112 = 0.
-7, 1, 4
What is f in 2*f**4/3 + 44*f**3/3 + 14*f**2 = 0?
-21, -1, 0
What is r in 196*r**5 - 2240*r**4 - 4464*r**3 + 35648*r**2 + 21248*r + 3072 = 0?
-4, -2/7, 4, 12
Factor 3*t**2/7 - 3*t/7 - 90/7.
3*(t - 6)*(t + 5)/7
Factor 33*d**3 - 57*d**2 + 15*d + 9.
3*(d - 1)**2*(11*d + 3)
Let -385*f**2/3 + 131*f/3 - 2 = 0. What is f?
3/55, 2/7
What is m in -2*m**3 + 958*m**2 - 952*m - 1912 = 0?
-1, 2, 478
Factor 100*r**3 + 13380*r**2 + 10656*r + 2128.
4*(r + 133)*(5*r + 2)**2
Factor l**3/4 - 269*l**2/4 + 17955*l/4 + 18225/4.
(l - 135)**2*(l + 1)/4
What is x in x**4/2 + 7*x**3/6 - 19*x**2 + 28*x - 32/3 = 0?
-8, 2/3, 1, 4
Determine x so that -2*x**5/3 + 2*x**3 + 4*x**2/3 = 0.
-1, 0, 2
What is b in -4*b**2/5 - 192*b/5 - 188/5 = 0?
-47, -1
Factor 2*h**2 - 36*h - 38.
2*(h - 19)*(h + 1)
What is l in -4*l**2/7 + 4*l/7 + 8/7 = 0?
-1, 2
Factor 9248*b**2 - 3536*b + 338.
2*(68*b - 13)**2
Suppose 2*w**2/9 + 44*w/9 = 0. Calculate w.
-22, 0
Determine c so that 25*c**4/2 + 8595*c**3/2 - 5193*c**2 - 6214*c - 1380 = 0.
-345, -2/5, 2
Factor 3*o**4/7 - 141*o**3/7 - 1116*o**2/7 - 972*o/7.
3*o*(o - 54)*(o + 1)*(o + 6)/7
Factor -4*w**2 + 124*w - 520.
-4*(w - 26)*(w - 5)
Factor -8*c**2/9 + 10036*c/9 + 1116.
-4*(c + 1)*(2*c - 2511)/9
Solve 5*n**3 - 35*n**2 - 5*n + 35 = 0 for n.
-1, 1, 7
Suppose -2*q**4 - 17*q**3/3 + 19*q**2 - 13*q + 5/3 = 0. Calculate q.
-5, 1/6, 1
Determine j, given that -j**3/5 + 87*j**2/5 + 72*j + 364/5 = 0.
-2, 91
Suppose 2*u**5/5 + 16*u**4/5 + 28*u**3/5 - 16*u**2/5 - 6*u = 0. What is u?
-5, -3, -1, 0, 1
Solve 5*c**5 + 500*c**4 + 12465*c**3 - 3530*c**2 - 90500*c - 75000 = 0 for c.
-50, -2, -1, 3
Suppose 3*i**5 + 29*i**4/2 + 43*i**3/2 + 8*i**2 - 2*i = 0. What is i?
-2, -1, 0, 1/6
Determine w so that -25*w**2/4 - 95*w/4 + 5 = 0.
-4, 1/5
Factor l**5 - 784*l**4 + 153664*l**3.
l**3*(l - 392)**2
Factor -4*n**3/5 + 44*n**2/5 - 152*n/5 + 32.
-4*(n - 5)*(n - 4)*(n - 2)/5
Factor -s**3 + 55*s**2 - 204*s.
-s*(s - 51)*(s - 4)
Factor -5*o**2 + 44910*o - 100845405.
-5*(o - 4491)**2
Suppose 345*i**4 - 1272*i**3 + 591*i**2 + 372*i - 36 = 0. What is i?
-2/5, 2/23, 1, 3
Determine a so that -3*a**2 - 129*a - 126 = 0.
-42, -1
Solve 3993*c**5 + 7623*c**4 - 3498*c**3 - 4152*c**2 + 2592*c - 384 = 0 for c.
-2, -1, 4/11
Suppose 14*f**5/11 - 326*f**4/11 + 1772*f**3/11 + 1536*f**2/11 - 576*f/11 = 0. Calculate f.
-1, 0, 2/7, 12
Solve 3*i**4/7 + 30*i**3/7 - 9*i**2/7 - 12*i + 60/7 = 0.
-10, -2, 1
Determine q, given that 207*q**5 - 1461*q**4/7 - 1437*q**3/7 + 1461*q**2/7 - 12*q/7 = 0.
-1, 0, 4/483, 1
What is t in t**5 - 10*t**4 + 37*t**3 - 64*t**2 + 52*t - 16 = 0?
1, 2, 4
Factor -3*f**2/4 - 39*f/4 - 45/2.
-3*(f + 3)*(f + 10)/4
Let 22*q**5 - 1676*q**4 - 1412*q**3 + 1984*q**2 + 1390*q - 308 = 0. What is q?
-1, 2/11, 1, 77
Let -361*o**2/3 + 304*o/3 - 64/3 = 0. What is o?
8/19
Solve -x**5/6 + 85*x**4/6 - 1033*x**3/3 + 5281*x**2/3 + 689*x/2 - 3549/2 = 0 for x.
-1, 1, 7, 39
Determine l, given that -11*l**2 - 871*l - 158 = 0.
-79, -2/11
Factor -3*k**2 - 18*k.
-3*k*(k + 6)
Suppose -s**5 - 7*s**4/3 + 2*s**3 = 0. What is s?
-3, 0, 2/3
Suppose 3*c**2/2 - 27*c - 60 = 0. Calculate c.
-2, 20
Find l, given that 2*l**2/7 + 6*l - 92/7 = 0.
-23, 2
Factor p**2 + 168*p - 513.
(p - 3)*(p + 171)
Factor -z**5/8 + z**4/2 + 3*z**3/8 - 9*z**2/4.
-z**2*(z - 3)**2*(z + 2)/8
Determine c, given that -2*c**4 + 376*c**3 - 374*c**2 = 0.
0, 1, 187
Suppose -75*a**5 + 1995*a**4/2 - 3312*a**3 + 7755*a**2/2 - 1758*a + 270 = 0. Calculate a.
2/5, 1, 5/2, 9
Determine p, given that p**2/4 + 45*p/2 + 2025/4 = 0.
-45
Factor -3*x**3/8 - 39*x**2/4 - 387*x/8 - 135/2.
-3*(x + 3)**2*(x + 20)/8
Find x, given that -4*x**4 - 8*x**3 + 12*x**2 = 0.
-3, 0, 1
Solve 5*z**5 - 65*z**4 + 310*z**3 - 670*z**2 + 645*z - 225 = 0.
1, 3, 5
Solve 2*i**3 + 36*i**2 + 64*i = 0.
-16, -2, 0
Suppose 25*l**5 - 1460*l**4 - 2445*l**3 + 2660*l**2 + 2420*l - 1200 = 0. What is l?
-2, -1, 2/5, 1, 60
Let -l*