5*x**3 - 70*x**2 - 35*x + 30.
5*(x - 1)*(3*x + 2)*(5*x - 3)
Factor 2*s**2/15 - 46*s/15 - 952/5.
2*(s - 51)*(s + 28)/15
Suppose 4*x**3 - 48*x**2 - 196*x + 240 = 0. Calculate x.
-4, 1, 15
Let 2*h**3 + 32*h**2 + 170*h + 300 = 0. What is h?
-6, -5
Suppose 4*f**3/5 - 476*f**2/5 - 4*f/5 + 476/5 = 0. What is f?
-1, 1, 119
Suppose -2*g**2/7 + 8*g/7 = 0. Calculate g.
0, 4
Factor 3*y**3/8 - 3*y**2/4 - 21*y/8 - 3/2.
3*(y - 4)*(y + 1)**2/8
What is h in h**4 + 45*h**3 + 304*h**2 - 5148*h - 5408 = 0?
-26, -1, 8
What is v in -v**3/4 - 85*v**2/4 - 2067*v/4 - 10647/4 = 0?
-39, -7
Factor 12*f**3 + 1779*f**2 + 2208*f + 441.
3*(f + 1)*(f + 147)*(4*f + 1)
Factor -2*p**2/9 + 104*p/9 + 826/9.
-2*(p - 59)*(p + 7)/9
Solve -4*z**3 + 260*z**2 + 264*z = 0.
-1, 0, 66
Factor 128*r**4/13 - 8096*r**3/13 + 124946*r**2/13 + 97152*r/13 + 18432/13.
2*(r - 32)**2*(8*r + 3)**2/13
Factor -r**4 + 5*r**3 + 6*r**2.
-r**2*(r - 6)*(r + 1)
Suppose -n**4/2 - 281*n**3/2 - 694*n**2 - 1106*n - 552 = 0. Calculate n.
-276, -2, -1
What is v in -v**2 - 32*v + 320 = 0?
-40, 8
Let 9*j**4 - 76*j**3 + 149*j**2 - 106*j + 24 = 0. What is j?
4/9, 1, 6
Let -l**5/2 - 7*l**4/2 + 9*l**3 = 0. What is l?
-9, 0, 2
Determine x, given that 5*x**4 + 10*x**3 - 120*x**2 - 160*x + 640 = 0.
-4, 2, 4
Factor -2*l**2 + 1136*l.
-2*l*(l - 568)
Determine k so that -2*k**2/9 + 1084*k/3 - 146882 = 0.
813
Factor -14*p**2 - 18*p.
-2*p*(7*p + 9)
Let w**4 + 243*w**3/5 - 1478*w**2/5 - 1068*w/5 + 648/5 = 0. Calculate w.
-54, -1, 2/5, 6
Find q such that 2*q**4 + 40*q**3 + 228*q**2 + 344*q + 154 = 0.
-11, -7, -1
Find t, given that -2*t**5/5 + 2*t**4 + 16*t**3/5 - 16*t**2 - 32*t/5 + 32 = 0.
-2, 2, 5
Let -2*j**3 - 2754*j**2 - 946686*j + 949442 = 0. What is j?
-689, 1
Find q, given that -q**4/3 - 14*q**3 - 172*q**2/3 + 158*q - 259/3 = 0.
-37, -7, 1
Factor 15*g**3 + 905*g**2 + 13800*g + 4500.
5*(g + 30)**2*(3*g + 1)
Find p, given that -2*p**5/7 - 38*p**4 - 9950*p**3/7 - 10418*p**2 - 117056*p/7 - 7688 = 0.
-62, -7, -1
Find n, given that -6*n**4 + 183*n**3 - 516*n**2 - 1407*n + 810 = 0.
-2, 1/2, 5, 27
What is t in t**2 + 136*t + 4624 = 0?
-68
Determine t, given that 245*t**5/3 - 7315*t**4 + 76180*t**3/3 - 80320*t**2/3 + 9760*t - 3440/3 = 0.
2/7, 1, 2, 86
Determine m, given that -m**3 + 32*m**2 - 129*m - 162 = 0.
-1, 6, 27
Suppose 3*w**5 + 60*w**4 + 57*w**3 = 0. What is w?
-19, -1, 0
Factor -u**4 + 74*u**3 - 1800*u**2 + 13750*u + 15625.
-(u - 25)**3*(u + 1)
Factor g**4/3 - 4*g**3/3 + g**2 + 4*g/3 - 4/3.
(g - 2)**2*(g - 1)*(g + 1)/3
Factor -121*p**3/3 + 143*p**2 - 69*p + 9.
-(p - 3)*(11*p - 3)**2/3
Factor 25*b**3 + 735*b**2 + 990*b + 280.
5*(b + 1)*(b + 28)*(5*b + 2)
Let -2*v**5/7 + 4966*v**4/7 - 4113498*v**3/7 + 162775102*v**2 - 2262437132*v/7 = 0. Calculate v.
0, 2, 827
Let -i**4/4 - 5*i**3/4 - 7*i**2/4 - 3*i/4 = 0. What is i?
-3, -1, 0
Let -m**5/4 - 25*m**4/4 - 107*m**3/4 + 133*m**2/4 = 0. What is m?
-19, -7, 0, 1
Factor 2*a**5 + 8*a**4 + 10*a**3 + 4*a**2.
2*a**2*(a + 1)**2*(a + 2)
Factor -t**3/3 + 20*t**2/3 - 128*t/3 + 256/3.
-(t - 8)**2*(t - 4)/3
Factor -w**2/4 - 59*w/2 - 3481/4.
-(w + 59)**2/4
Factor -q**4 - 74*q**3 + 4*q**2 + 296*q.
-q*(q - 2)*(q + 2)*(q + 74)
Factor -j**3/6 - 13*j**2/2 - 143*j/6 - 35/2.
-(j + 1)*(j + 3)*(j + 35)/6
Determine c, given that 2*c**4/7 + 62*c**3/7 + 118*c**2/7 + 58*c/7 = 0.
-29, -1, 0
Factor -x**5/4 - 23*x**4/4 - 47*x**3/2 + 215*x**2/2 - 481*x/4 + 169/4.
-(x - 1)**3*(x + 13)**2/4
Factor 2*j**2 + 8*j + 8.
2*(j + 2)**2
Factor r**2/3 - 28*r/3 + 196/3.
(r - 14)**2/3
Factor -2*c**2/13 + 34*c/13.
-2*c*(c - 17)/13
Factor -2*l**2 - 953*l + 477.
-(l + 477)*(2*l - 1)
Let -2*u**4/17 - 36*u**3/17 - 216*u**2/17 - 28*u - 294/17 = 0. What is u?
-7, -3, -1
Factor 4*s**3 - 8*s**2.
4*s**2*(s - 2)
Factor -2*d**2 - 430*d + 432.
-2*(d - 1)*(d + 216)
Factor 2*v**4/3 + 32*v**3/3 + 48*v**2 - 288.
2*(v - 2)*(v + 6)**3/3
Factor 4*c**2/5 - 2744*c/5 + 470596/5.
4*(c - 343)**2/5
Find f, given that 10*f**4 - 274*f**3 + 2058*f**2 - 2470*f + 676 = 0.
2/5, 1, 13
Factor 2*g**3 - 4706*g**2 + 2765950*g + 2770658.
2*(g - 1177)**2*(g + 1)
Factor 3*z**3/2 + 1611*z**2/2 + 218673*z/2 + 641601/2.
3*(z + 3)*(z + 267)**2/2
Factor -8*r**2/15 - 82*r/5 + 62/15.
-2*(r + 31)*(4*r - 1)/15
Solve 3*k**5/2 - 47*k**4/2 + 82*k**3 + 30*k**2 = 0 for k.
-1/3, 0, 6, 10
Let q**2/6 - 1531*q + 7031883/2 = 0. What is q?
4593
Factor -3*f**4 - 2148*f**3 - 511938*f**2 - 40441668*f + 40955757.
-3*(f - 1)*(f + 239)**3
Factor -51*t**3 - 198*t**2 - 129*t + 18.
-3*(t + 1)*(t + 3)*(17*t - 2)
What is x in -4*x**5 + x**4 + 24*x**3 + 26*x**2 + 4*x - 3 = 0?
-1, 1/4, 3
Factor 26*l**2/7 - 96*l - 104/7.
2*(l - 26)*(13*l + 2)/7
Find b, given that 50*b**5 + 945*b**4 + 2305*b**3 - 440*b**2 - 3180*b + 320 = 0.
-16, -2, 1/10, 1
Solve -6*b**4/5 - 258*b**3 - 5094*b**2/5 - 6342*b/5 - 2532/5 = 0.
-211, -2, -1
Factor -4*u**4 + 24*u**2 + 32*u + 12.
-4*(u - 3)*(u + 1)**3
Let -2*u**4/9 + 38*u**3/9 + 112*u**2/3 + 712*u/9 + 416/9 = 0. What is u?
-4, -2, -1, 26
Factor -4*y**3 - 28*y**2 + 68*y - 36.
-4*(y - 1)**2*(y + 9)
Let u**5/3 - u**4/3 - 17*u**3/3 - 19*u**2/3 + 16*u/3 + 20/3 = 0. What is u?
-2, -1, 1, 5
Solve c**2 - 18*c + 72 = 0 for c.
6, 12
Let -y**4/4 + 5*y**3/4 + y**2/4 - 5*y/4 = 0. Calculate y.
-1, 0, 1, 5
What is s in -4*s**5 - 498*s**4 - 1226*s**3 - 730*s**2 + 246*s + 244 = 0?
-122, -1, 1/2
Suppose 2*o**3/9 - 76*o**2 + 8664*o - 329232 = 0. What is o?
114
Solve 2*g**5/3 - 10*g**4/3 + 10*g**3/3 + 10*g**2/3 - 4*g = 0 for g.
-1, 0, 1, 2, 3
Factor 3*k**5 - 33*k**4 - 135*k**3 + 1701*k**2.
3*k**2*(k - 9)**2*(k + 7)
Solve -3*v**4/2 + 24*v**3 - 189*v**2/2 - 24*v + 96 = 0.
-1, 1, 8
Factor 5*t**3 - 100*t**2 - 105*t.
5*t*(t - 21)*(t + 1)
Factor -y**4 - 7*y**3 - 11*y**2 - 5*y.
-y*(y + 1)**2*(y + 5)
Factor h**2 + 60*h + 900.
(h + 30)**2
Factor g**2/2 + 433*g/2 + 216.
(g + 1)*(g + 432)/2
Determine z, given that 3*z**4 + 30*z**3 + 63*z**2 - 12*z - 84 = 0.
-7, -2, 1
Suppose -r**5/2 + 7*r**4 - 5*r**3 - 150*r**2 - 189*r/2 + 243 = 0. What is r?
-3, -2, 1, 9
Factor 3*k**3 - 15*k**2 - 3*k + 15.
3*(k - 5)*(k - 1)*(k + 1)
Solve s**3/2 + 17*s**2 - 37*s/2 - 35 = 0 for s.
-35, -1, 2
Factor 3*s**2 - 21*s + 18.
3*(s - 6)*(s - 1)
Factor 4*u**2 - 12*u - 16.
4*(u - 4)*(u + 1)
Let -2*j**2 + 340*j - 8618 = 0. Calculate j.
31, 139
Factor g**2 - 254*g + 1488.
(g - 248)*(g - 6)
Factor 16*k**3 - 96*k**2 + 180*k - 108.
4*(k - 3)*(2*k - 3)**2
What is p in 3*p**2 + 894*p - 897 = 0?
-299, 1
Factor 2*o**2/7 + 15384*o/7 + 29583432/7.
2*(o + 3846)**2/7
Solve -2*l**5 - 162*l**4 + 844*l**3 - 1368*l**2 + 688*l = 0.
-86, 0, 1, 2
Determine a so that 4*a**5 - 159*a**4 + 1208*a**3 + 7352*a**2 + 9504*a + 1936 = 0.
-2, -1/4, 22
Let 2*f**5 + 10*f**4 + 14*f**3 - 2*f**2 - 16*f - 8 = 0. Calculate f.
-2, -1, 1
Factor 9*p**3 + 2*p**2 - 9*p - 2.
(p - 1)*(p + 1)*(9*p + 2)
Suppose 3*x**5/5 + 12*x**4 + 162*x**3/5 + 156*x**2/5 + 51*x/5 = 0. Calculate x.
-17, -1, 0
Determine o, given that 6*o**2 - 5180*o + 1726 = 0.
1/3, 863
Solve -2*k**3 + 20*k**2 + 74*k + 52 = 0 for k.
-2, -1, 13
Suppose -3*g**2/2 + 582*g - 1161/2 = 0. What is g?
1, 387
Factor -108*j**2 + 327*j - 9.
-3*(j - 3)*(36*j - 1)
Suppose j**4/4 + 5455*j**3/4 + 7441983*j**2/4 + 7436529*j/4 = 0. Calculate j.
-2727, -1, 0
Suppose -g**2 - g = 0. Calculate g.
-1, 0
Let q**5/2 - 3*q**4/4 - 3*q**3 + q**2/2 + 9*q/2 + 9/4 = 0. Calculate q.
-1, 3/2, 3
Factor v**3/5 + 24*v**2 - 243*v/5 + 122/5.
(v - 1)**2*(v + 122)/5
Factor -5*o**3 + 18615*o**2 - 23101215*o + 9556202605.
-5*(o - 1241)**3
Determine v, given that 2*v**2/11 - 9332*v/11 + 9330/11 = 0.
1, 4665
Factor 2*h**2/9 + 2*h/3.
2*h*(h + 3)/9
Determine m, given that 4*m**2 + 3808*m + 906304 = 0.
-476
Suppose 2*n**3 + 104*n**2 + 1450*n + 2500 = 0. Calculate n.
-25, -2
Find z such that 2*z**4/9 + 20*z**3/9 + 38*z**2/9 - 20*z/3 = 0.
-6, -5, 0, 1
Solve 3*f**4/8 + 4575*f**3/4 + 1162431*f**2 + 1573153569*f/4 - 3155615739/8 = 0.
-1017, 1
Suppose -i**4/2 + 3*i**3/2 - i**2/2 - 3*i/2 + 1 = 0. What is i?
-1, 1, 2
Let 3*m**2 + 24*m - 315 = 0. Calculate m.
-15, 7
Factor 12*s**3 - 7713*s**2 - 9657*s - 1932.
3*(s - 644)*(s + 1)*(4*s + 1)
What is p in 3*p**4/4 + 21*p**3 + 75*p**2/4 - 81*p/2 = 0?
-27, -2, 0, 1
Determine c so that -c**2/4 - 569*c/4 - 705 = 0.
-564, -5
Factor -3*h**2 - 246*h - 4896.
-3*(h + 34)*(h + 48)
Factor 3*b**3 + 69*b**2 + 360*b - 432.
3*(b -