/9 + 200/3 = 0.
2/7, 1, 6, 25
Factor 2*q**4 + 8*q**3 - 24*q**2.
2*q**2*(q - 2)*(q + 6)
Suppose -2*o**3/15 + 16*o**2/15 - 14*o/15 = 0. What is o?
0, 1, 7
Factor 5*f**5 + 60*f**4 + 195*f**3 + 140*f**2.
5*f**2*(f + 1)*(f + 4)*(f + 7)
Factor 15*a**2 + 635*a - 1800.
5*(a + 45)*(3*a - 8)
Let -4*p**4 + 36*p**3 - 60*p**2 - 100*p = 0. What is p?
-1, 0, 5
Factor 2*h**3 - 1894*h**2 - 11418*h - 17154.
2*(h - 953)*(h + 3)**2
Determine i so that 8*i**4 - 34*i**3 + 34*i - 8 = 0.
-1, 1/4, 1, 4
Determine z, given that -3*z**5 - 99*z**4/2 + 87*z**3 + 207*z**2/2 - 84*z - 54 = 0.
-18, -1, -1/2, 1, 2
Factor m**4/5 - 36*m**3/5 + 384*m**2/5 - 1024*m/5.
m*(m - 16)**2*(m - 4)/5
Factor 490050*w**2/7 - 1980*w/7 + 2/7.
2*(495*w - 1)**2/7
Suppose 2*f**2/3 + 124*f + 5766 = 0. What is f?
-93
Let 12*n**3 + 32*n**2 + 16*n = 0. What is n?
-2, -2/3, 0
Determine k so that 3*k**3 - 12*k**2 + 12*k = 0.
0, 2
Solve 14*t**4/9 - 32*t**3/9 - 58*t**2/3 - 88*t/9 + 40/9 = 0 for t.
-2, -1, 2/7, 5
Suppose -5*s**2 - 205*s - 1050 = 0. Calculate s.
-35, -6
Determine p, given that -3*p**2/5 - 57*p/5 + 126/5 = 0.
-21, 2
Determine u, given that -2*u**5/5 - 28*u**4/5 - 16*u**3/5 + 124*u**2/5 - 78*u/5 = 0.
-13, -3, 0, 1
Find s such that -s**4 + 6*s**3 - 9*s**2 - 4*s + 12 = 0.
-1, 2, 3
Factor -2*s**3 - 29*s**2/2 - 7*s/2.
-s*(s + 7)*(4*s + 1)/2
Factor -4*b**2 - 28*b - 40.
-4*(b + 2)*(b + 5)
Factor z**3 + 583*z**2/4 - 149*z/4 - 219/2.
(z - 1)*(z + 146)*(4*z + 3)/4
Determine p, given that 4*p**4/5 - 44*p**3/5 + 152*p**2/5 - 208*p/5 + 96/5 = 0.
1, 2, 6
What is f in -2*f**2/9 + 2228*f/3 - 620498 = 0?
1671
Suppose 5*a**4 + 300*a**3 + 2140*a**2 + 3120*a = 0. What is a?
-52, -6, -2, 0
Factor 14*i**3/15 - 22*i**2/5 - 48*i + 1224/5.
2*(i - 6)**2*(7*i + 51)/15
Suppose -r**2 - 97*r + 98 = 0. What is r?
-98, 1
Determine j so that 2*j**4/23 + 8*j**3/23 - 12*j**2/23 - 8*j/23 + 10/23 = 0.
-5, -1, 1
Let v**4/10 + 7*v**3/10 + 3*v**2/2 + 13*v/10 + 2/5 = 0. Calculate v.
-4, -1
Factor 2*i**3 - 110*i**2 + 104*i + 216.
2*(i - 54)*(i - 2)*(i + 1)
Factor 5*f**4/2 + 9*f**3 + 17*f**2/2 - 2.
(f + 1)**2*(f + 2)*(5*f - 2)/2
Let -2*n**5/5 + 16*n**4/5 - 48*n**3/5 + 68*n**2/5 - 46*n/5 + 12/5 = 0. What is n?
1, 2, 3
Let 4*r**3 - 24*r**2 + 36*r = 0. What is r?
0, 3
Suppose 4*s**2 - 32*s - 36 = 0. Calculate s.
-1, 9
Find k, given that -k**3/2 + 6*k**2 - 10*k = 0.
0, 2, 10
Determine p, given that 4*p**4 + 848*p**3 - 1708*p**2 + 856*p = 0.
-214, 0, 1
Factor -75*j**4 - 540*j**3 - 1452*j**2 - 1728*j - 768.
-3*(j + 2)**2*(5*j + 8)**2
Determine h so that -3*h**5/4 + 39*h**4/4 - 57*h**3/4 - 123*h**2/4 + 69*h - 33 = 0.
-2, 1, 2, 11
Factor 2*p**3/15 + 4*p**2/15 - 16*p/15.
2*p*(p - 2)*(p + 4)/15
Determine z, given that -12*z**5/13 - 3322*z**4/13 - 2754*z**3/13 + 1660*z**2/13 + 1104*z/13 = 0.
-276, -1, -1/2, 0, 2/3
Factor 2*o**3/3 + 14*o**2 + 98*o + 686/3.
2*(o + 7)**3/3
Find p such that -144*p**3 + 2204*p**2 + 450*p - 248 = 0.
-4/9, 1/4, 31/2
Factor z**2 - 26*z.
z*(z - 26)
Factor -2*f**2/13 + 426*f/13 - 424/13.
-2*(f - 212)*(f - 1)/13
Suppose -2*i**3 - 1728*i**2 - 497664*i - 47775744 = 0. What is i?
-288
What is m in -2*m**2/3 - 220*m/3 - 6050/3 = 0?
-55
Factor -2*h**2/7 - 2186*h/7 + 6576/7.
-2*(h - 3)*(h + 1096)/7
Let 2*j**5/9 + 22*j**4 + 1532*j**3/3 - 14996*j**2/9 + 5134*j/3 - 578 = 0. Calculate j.
-51, 1
Let 2*c**2/5 + 13448*c/5 + 22606088/5 = 0. What is c?
-3362
Factor f**4/2 - 235*f**3/2 - 237*f**2/2 + 235*f/2 + 118.
(f - 236)*(f - 1)*(f + 1)**2/2
Factor -6*d**3/5 - 6132*d**2/5 - 1560576*d/5 + 3145728/5.
-6*(d - 2)*(d + 512)**2/5
Determine q so that 3*q**2/4 + 315*q/4 + 78 = 0.
-104, -1
Factor 2*p**2 + 626*p.
2*p*(p + 313)
Let i**3/2 + 3*i**2/2 = 0. What is i?
-3, 0
Let -2*z**2 + 17*z/2 + 15/2 = 0. What is z?
-3/4, 5
Suppose -3*c**2 + 1515*c + 1518 = 0. What is c?
-1, 506
Solve -9*x**4/5 - 123*x**3/5 - 15*x**2 + 39*x/5 = 0 for x.
-13, -1, 0, 1/3
Find a such that 3*a**5/7 + 12*a**4/7 + 15*a**3/7 + 6*a**2/7 = 0.
-2, -1, 0
Factor -d**2/6 + 105*d/2 + 159.
-(d - 318)*(d + 3)/6
Factor 5*v**2/3 + 9710*v/3 + 4714205/3.
5*(v + 971)**2/3
Factor -5*r**5 - 330*r**4 - 2155*r**3 - 5410*r**2 - 5940*r - 2360.
-5*(r + 1)*(r + 2)**3*(r + 59)
Solve f**3/3 + 106*f**2 + 11236*f + 1191016/3 = 0.
-106
Factor 4*x**5 + 2*x**4 - 24*x**3 - 44*x**2 - 28*x - 6.
2*(x - 3)*(x + 1)**3*(2*x + 1)
Suppose 5*o**2 + 655*o - 1330 = 0. Calculate o.
-133, 2
Suppose 14*n**2 + 41*n/3 - 1/3 = 0. What is n?
-1, 1/42
Factor y**4/5 + 16*y**3/5 + 42*y**2/5 - 392*y/5 - 343.
(y - 5)*(y + 7)**3/5
Determine y so that y**2 - 14444*y + 52157284 = 0.
7222
Find m, given that m**2/3 + 164*m/3 - 167 = 0.
-167, 3
Suppose -5*g**5 + 6035*g**4 - 12035*g**3 - 18095*g**2 + 24080*g + 24100 = 0. Calculate g.
-1, 2, 1205
Factor 2*z**3/5 - 392*z**2/5 + 778*z/5 - 388/5.
2*(z - 194)*(z - 1)**2/5
Determine k, given that -5*k**3 - 810*k**2 - 33600*k - 64000 = 0.
-80, -2
What is i in -3*i**2 - 9*i - 6 = 0?
-2, -1
Let -2*d**2/7 - 68*d/7 - 578/7 = 0. What is d?
-17
Factor 14*p**2 + 106*p - 48.
2*(p + 8)*(7*p - 3)
Factor -p**3/2 - 11*p**2 - 103*p/2 + 63.
-(p - 1)*(p + 9)*(p + 14)/2
Factor 2*d**3/7 + 8*d**2 - 248*d/7 + 256/7.
2*(d - 2)**2*(d + 32)/7
Let -2*z**2 + 988*z = 0. What is z?
0, 494
What is k in -2*k**4 - 56*k**3 - 138*k**2 + 316*k + 400 = 0?
-25, -4, -1, 2
Factor 21*m**2/5 - 348*m/5 - 108.
3*(m - 18)*(7*m + 10)/5
Solve -175*j**5 - 1170*j**4 - 1615*j**3 + 1380*j**2 + 1340*j + 240 = 0 for j.
-4, -3, -2/5, -2/7, 1
Factor -2*i**5/9 + 10*i**4/9 - 4*i**3/3.
-2*i**3*(i - 3)*(i - 2)/9
Factor -2*d**2/7 + 4372*d/7 - 2389298/7.
-2*(d - 1093)**2/7
Factor -2*c**5 - 68*c**4 - 156*c**3 + 896*c**2 - 1042*c + 372.
-2*(c - 1)**3*(c + 6)*(c + 31)
What is v in -4*v**4/3 - 4*v**3 + 16*v/3 = 0?
-2, 0, 1
Factor -37*j**4/3 + 10*j**3/3.
-j**3*(37*j - 10)/3
Determine x, given that -x**2/4 + 57*x/4 = 0.
0, 57
Find a, given that a**2/8 + 31*a/8 - 4 = 0.
-32, 1
Factor -3*f**2/5 + 12*f/5 + 3.
-3*(f - 5)*(f + 1)/5
Factor -3*z**2 + 300*z - 7500.
-3*(z - 50)**2
Determine a so that 3*a**2 - 27*a + 24 = 0.
1, 8
Suppose 3*u**2 - 255*u - 258 = 0. Calculate u.
-1, 86
Factor g**2/4 - 509*g/2 + 259081/4.
(g - 509)**2/4
Factor -3*v**2/5 - 6*v - 27/5.
-3*(v + 1)*(v + 9)/5
Factor -2*p**4/3 + 14*p**2/3 + 4*p.
-2*p*(p - 3)*(p + 1)*(p + 2)/3
Find y, given that 4*y**4 - 4*y**3 - 124*y**2 - 284*y - 168 = 0.
-3, -2, -1, 7
Factor -5*z**3 + 205*z**2 - 1200*z - 20160.
-5*(z - 24)**2*(z + 7)
Let 3*o**4/2 + 45*o**3/2 + 111*o**2/2 - 369*o/2 + 105 = 0. What is o?
-10, -7, 1
What is q in 5*q**3 + 430*q**2 + 2425*q + 2000 = 0?
-80, -5, -1
Factor 5*y**2 - 25*y - 180.
5*(y - 9)*(y + 4)
Determine d so that -2*d**2 + 38*d + 40 = 0.
-1, 20
Factor -3*y**2/4 - 1422*y.
-3*y*(y + 1896)/4
Suppose 45*s**2/7 + 219*s/7 - 30/7 = 0. Calculate s.
-5, 2/15
Suppose -1064*a**5 + 1796*a**4 - 408*a**3 - 316*a**2 - 8*a = 0. Calculate a.
-2/7, -1/38, 0, 1
Let -36*p**4 + 2152*p**3 - 31920*p**2 - 7200*p = 0. Calculate p.
-2/9, 0, 30
Determine q, given that 10*q**3 - 565*q**2 - 285*q = 0.
-1/2, 0, 57
Let -28*s**2 - 15520*s - 4432 = 0. What is s?
-554, -2/7
Factor -j**5/4 - 9*j**4/4 - 7*j**3/2 + j**2/2 + 15*j/4 + 7/4.
-(j - 1)*(j + 1)**3*(j + 7)/4
Solve -3*j**2 - 1740*j - 252300 = 0 for j.
-290
Determine q, given that -3*q**2/5 + 57*q/5 - 102/5 = 0.
2, 17
Factor 10*k**2/9 + 22*k - 40/9.
2*(k + 20)*(5*k - 1)/9
Find y such that -y**4/7 + 1104*y**3/7 - 405162*y**2/7 + 49017960*y/7 + 150730227/7 = 0.
-3, 369
Suppose -27303838*m**3/15 + 228484*m**2/5 - 1912*m/5 + 16/15 = 0. Calculate m.
2/239
Let 4*d**3 + 248*d**2 + 244*d = 0. What is d?
-61, -1, 0
Determine h, given that 3*h**3/7 + 21*h**2 + 2232*h/7 + 10800/7 = 0.
-25, -12
Find q, given that 3*q**2/7 - 12*q/7 = 0.
0, 4
Find x such that x**4/3 - 28*x**3/3 + 65*x**2 + 28*x/3 - 196/3 = 0.
-1, 1, 14
Factor -2*c**3 - 18*c**2 - 30*c - 14.
-2*(c + 1)**2*(c + 7)
Factor -4*d**5 + 1820*d**4 - 273580*d**3 + 13210020*d**2 + 56181600*d + 57305232.
-4*(d - 153)**3*(d + 2)**2
Factor -2*l**3/15 - 72*l**2/5 - 2592*l/5 - 31104/5.
-2*(l + 36)**3/15
Find m such that -m**3 + 165*m**2 - 2448*m + 9536 = 0.
8, 149
Factor -9*c**3/5 - 74*c**2/5 - 151*c/5 - 6.
-(c + 3)*(c + 5)*(9*c + 2)/5
Factor 50*k**5/7 + 30*k**4/7 - 138*k**3/7 - 94*k**2/7 + 96*k/7 + 72/7.
2*(k + 1)**3*(5*k - 6)**2/7
Factor 12*a**4 + 64*a**3 - 76*a**2 - 608*a - 192.
4*(a - 3)*(a + 4)**2*(3*a +