 1
Factor 25*v**4 + 80*v**3 + 24*v**2 - 64*v + 16.
(v + 2)**2*(5*v - 2)**2
Solve -2*v**5 - 100*v**4/3 - 140*v**3/3 + 160*v**2/3 + 146*v/3 - 20 = 0 for v.
-15, -2, -1, 1/3, 1
Factor -3*t**3 + 264*t**2 - 4419*t + 4158.
-3*(t - 66)*(t - 21)*(t - 1)
Factor a**5 + 24*a**4 + 44*a**3 - 2*a**2 - 45*a - 22.
(a - 1)*(a + 1)**3*(a + 22)
Determine l so that -5*l**5 + 15*l**4 + 50*l**3 = 0.
-2, 0, 5
Factor -a**2/6 + 80*a/3 - 3200/3.
-(a - 80)**2/6
What is c in -3*c**2/2 + 198*c - 6534 = 0?
66
Factor -5*x**2 - 395*x.
-5*x*(x + 79)
Let -o**4/3 - 10*o**3 - 19*o**2 - 28*o/3 = 0. What is o?
-28, -1, 0
Factor -15*k**3 - 35*k**2 + 140*k + 160.
-5*(k + 1)*(k + 4)*(3*k - 8)
What is m in m**4/2 + 5*m**3 + 27*m**2/2 + 9*m = 0?
-6, -3, -1, 0
Find y such that 2*y**2/11 + 246*y/11 + 244/11 = 0.
-122, -1
Solve 3*p**4 + 200*p**3 + 326*p**2 + 64*p - 65 = 0.
-65, -1, 1/3
Determine f, given that 20*f**4/3 + 958*f**3/3 + 280*f**2 - 286*f/3 - 188/3 = 0.
-47, -1, -2/5, 1/2
Suppose -6*r**5/5 - 112*r**4/5 - 432*r**3/5 - 576*r**2/5 - 224*r/5 = 0. Calculate r.
-14, -2, -2/3, 0
Factor 4*t**2 - 568*t + 20164.
4*(t - 71)**2
What is w in 3*w**5 - 18*w**4 - 93*w**3 + 264*w**2 + 720*w + 384 = 0?
-4, -1, 4, 8
Determine v so that -2*v**5 - 14*v**4 - 8*v**3 + 24*v**2 = 0.
-6, -2, 0, 1
Determine w, given that -5*w**3 + 110*w**2 - 600*w = 0.
0, 10, 12
Determine z so that z**4/8 + 26*z**3 + 303*z**2/4 - 230*z + 1025/8 = 0.
-205, -5, 1
Factor -4*d**2/3 + 62*d/15 - 2.
-2*(2*d - 5)*(5*d - 3)/15
Factor -3*w**3/7 - 6*w**2/7 + 48*w/7 + 96/7.
-3*(w - 4)*(w + 2)*(w + 4)/7
Solve 5*y**5 + 10*y**4 - 40*y**3 - 80*y**2 + 80*y + 160 = 0.
-2, 2
Solve -2*r**4 - 2*r**3 = 0.
-1, 0
Let 3*s**3 - 524*s**2 + 867*s - 346 = 0. What is s?
2/3, 1, 173
Suppose -2*r**5/5 + 64*r**4/5 + 68*r**3/5 - 64*r**2/5 - 66*r/5 = 0. Calculate r.
-1, 0, 1, 33
Solve -3*r**5/2 + 47*r**4/2 + 61*r**3 + 36*r**2 = 0.
-4/3, -1, 0, 18
Find p, given that -3*p**3/4 - 93*p**2/2 - 1737*p/4 - 1377/2 = 0.
-51, -9, -2
Find m, given that m**5/9 - 7*m**3/9 + 2*m**2/3 = 0.
-3, 0, 1, 2
Factor 3*u**4/7 - 31*u**3/7 - 23*u**2/7 + 11*u/7.
u*(u - 11)*(u + 1)*(3*u - 1)/7
Factor 2*k**3/11 - 104*k**2/11 - 2*k/11 + 104/11.
2*(k - 52)*(k - 1)*(k + 1)/11
Factor i**3/5 - 3*i**2/5 - 22*i/5 + 24/5.
(i - 6)*(i - 1)*(i + 4)/5
Factor 4*b**3 + 12*b**2 - 456*b + 832.
4*(b - 8)*(b - 2)*(b + 13)
Factor 2*u**3 - 144*u**2 - 294*u - 148.
2*(u - 74)*(u + 1)**2
Solve -2*g**5 - 114*g**4 - 1590*g**3 - 2846*g**2 - 1368*g = 0.
-36, -19, -1, 0
Let 2*x**2/3 - 16*x/3 + 14/3 = 0. What is x?
1, 7
What is o in -2*o**3 + 14*o**2 + 2*o - 14 = 0?
-1, 1, 7
Factor 5*l**2/4 - 225*l/4 + 315/2.
5*(l - 42)*(l - 3)/4
Find z such that z**5/4 + 9*z**4/2 + 26*z**3 + 68*z**2 + 84*z + 40 = 0.
-10, -2
Find s, given that -10*s**3/7 + 16*s**2/7 + 194*s/7 - 120/7 = 0.
-4, 3/5, 5
Factor 2*a**2/7 + 1504*a/7 + 282752/7.
2*(a + 376)**2/7
Solve -5*z**3/4 - 3*z**2/4 + 8*z - 3 = 0 for z.
-3, 2/5, 2
Factor 16*q**3 - 212*q**2 - 172*q + 56.
4*(q - 14)*(q + 1)*(4*q - 1)
Factor 2*f**2 + 10*f - 48.
2*(f - 3)*(f + 8)
Find b, given that 4*b**5/3 + 28*b**4 + 356*b**3/3 + 604*b**2/3 + 152*b + 128/3 = 0.
-16, -2, -1
Suppose 4*y**2/7 - 656*y/7 + 26896/7 = 0. What is y?
82
Factor 4*a**3/5 + 784*a**2/5 - 476*a + 1592/5.
4*(a - 2)*(a - 1)*(a + 199)/5
Determine y so that -2*y**4/13 + 1208*y**3/13 - 2410*y**2/13 + 1204*y/13 = 0.
0, 1, 602
Factor f**2 - 104*f + 303.
(f - 101)*(f - 3)
Solve -3*q**4 + 96*q**3 + 99*q**2 = 0.
-1, 0, 33
Solve 3*s**2/7 + 159*s/7 + 720/7 = 0 for s.
-48, -5
Determine q so that 4*q**2/3 - 112*q/3 - 220 = 0.
-5, 33
Determine n so that -4*n**5 + 120*n**4 - 1008*n**3 + 1568*n**2 = 0.
0, 2, 14
Find a, given that -5*a**2 + 10*a + 75 = 0.
-3, 5
Factor -22*y**2/5 - 678*y/5 + 124/5.
-2*(y + 31)*(11*y - 2)/5
Suppose f**2 - 86*f + 1849 = 0. Calculate f.
43
Factor -h**3 + 48*h**2 - 621*h + 1058.
-(h - 23)**2*(h - 2)
Determine u so that -3*u**3 - 30*u**2 + 57*u + 840 = 0.
-8, -7, 5
Factor 40*h**4 + 135*h**3 + 60*h**2 - 100*h.
5*h*(h + 2)**2*(8*h - 5)
Factor w**3 - w.
w*(w - 1)*(w + 1)
Factor m**2/2 - 4*m.
m*(m - 8)/2
Solve 2*g**3/3 - 370*g**2/3 - 502*g - 378 = 0 for g.
-3, -1, 189
Determine p, given that -5*p**5 + 10*p**4 + 15*p**3 - 20*p**2 - 20*p = 0.
-1, 0, 2
Factor 5*q**4 - 40*q**2 + 80.
5*(q - 2)**2*(q + 2)**2
What is v in 54*v**4 + 225*v**3 - 939*v**2 + 888*v - 252 = 0?
-7, 2/3, 3/2
Let 3*m**3/5 - 126*m**2/5 + 1323*m/5 = 0. What is m?
0, 21
Determine t, given that -2*t**2 - 800*t - 80000 = 0.
-200
Determine c, given that -4*c**2 + 1440*c = 0.
0, 360
Factor m**3/10 + 27*m**2/5 + 31*m/2 + 51/5.
(m + 1)*(m + 2)*(m + 51)/10
Factor -435*s**2 + 865*s + 10.
-5*(s - 2)*(87*s + 1)
Factor 3*o**3 - o**2 - 27*o + 9.
(o - 3)*(o + 3)*(3*o - 1)
Suppose 3*v**2/8 - 1107*v/4 + 408483/8 = 0. Calculate v.
369
What is k in -k**5/6 + 191*k**4 - 72962*k**3 + 27871484*k**2/3 = 0?
0, 382
Factor 5*p**3 - 85*p**2 + 370*p - 440.
5*(p - 11)*(p - 4)*(p - 2)
Solve 2*a**2/3 + 1714*a/3 + 1712/3 = 0 for a.
-856, -1
Find k, given that 68*k**2/3 - 70*k/3 + 2/3 = 0.
1/34, 1
Factor o**2/9 - 73*o/3 + 218/9.
(o - 218)*(o - 1)/9
Factor 2*q**2/5 - 12*q - 432/5.
2*(q - 36)*(q + 6)/5
Suppose -2*y**2/15 - 112*y/15 - 1568/15 = 0. What is y?
-28
Factor 25*z**4 + 55*z**3 - 285*z**2 - 315*z.
5*z*(z - 3)*(z + 1)*(5*z + 21)
Determine h so that -42*h**3/11 - 390*h**2/11 - 696*h/11 - 168/11 = 0.
-7, -2, -2/7
Solve -20*k**3/9 - 24*k**2 + 284*k/9 - 16/3 = 0 for k.
-12, 1/5, 1
Determine s, given that -3*s**4/7 - 102*s**3/7 - 171*s**2/7 + 660*s/7 - 384/7 = 0.
-32, -4, 1
Determine r so that -4*r**4 - 28*r**3 - 16*r**2 + 48*r = 0.
-6, -2, 0, 1
What is z in 2*z**2/7 - 3208*z/7 + 1286408/7 = 0?
802
Solve -m**2 + 169*m - 2850 = 0 for m.
19, 150
Determine q, given that 2*q**4 - 242*q**3 + 9720*q**2 - 162400*q + 976000 = 0.
20, 61
Find d, given that 3*d**2/2 - 519*d/2 - 2457 = 0.
-9, 182
Factor -g**5 + 21*g**4 - 19*g**3 - 21*g**2 + 20*g.
-g*(g - 20)*(g - 1)**2*(g + 1)
Factor 35*l**3 - 1075*l**2 - 310*l.
5*l*(l - 31)*(7*l + 2)
What is j in -2*j**5 + 54*j**4 + 58*j**3 - 54*j**2 - 56*j = 0?
-1, 0, 1, 28
Determine y, given that -2*y**3 - y**2 + 27*y + 36 = 0.
-3, -3/2, 4
Let 3*c**5 + 176*c**4 - 59*c**3 = 0. What is c?
-59, 0, 1/3
Let 7*j**4/9 + 164*j**3/9 + 223*j**2/9 + 22*j/3 = 0. What is j?
-22, -1, -3/7, 0
Factor -2*a**5 - 6*a**4 - 4*a**3 + 4*a**2 + 6*a + 2.
-2*(a - 1)*(a + 1)**4
Factor q**2/6 + 11*q/2.
q*(q + 33)/6
Factor -2*m**3/3 - 100*m**2/3 - 194*m/3 - 32.
-2*(m + 1)**2*(m + 48)/3
Determine d so that -1958*d**2/7 + 1950*d/7 + 8/7 = 0.
-4/979, 1
Solve -100*w**4/9 + 80*w**3/9 + 28*w**2/3 - 80*w/9 + 16/9 = 0.
-1, 2/5, 1
Factor 2*t**2/15 + 1106*t/15.
2*t*(t + 553)/15
Factor -5*t**3 - 15*t**2 + 5*t + 15.
-5*(t - 1)*(t + 1)*(t + 3)
Factor 9*q**3 + 57*q**2 + 63*q + 15.
3*(q + 1)*(q + 5)*(3*q + 1)
Determine b so that -12*b**5 - 2744*b**4 + 916*b**3 = 0.
-229, 0, 1/3
Determine b so that -b**2 - 382*b + 1155 = 0.
-385, 3
Let 2*d**3/5 - 12*d**2/5 - 338*d/5 - 612/5 = 0. What is d?
-9, -2, 17
Factor s**4/4 + s**3/4 - 2*s**2 - 3*s.
s*(s - 3)*(s + 2)**2/4
Let 2*r**4/3 - 10*r**3/9 - 146*r**2/9 + 250*r/9 - 100/9 = 0. What is r?
-5, 2/3, 1, 5
What is b in -2*b**5/9 - 2*b**4 - 14*b**3/3 + 2*b**2/9 + 20*b/3 = 0?
-5, -3, -2, 0, 1
Solve -2*z**4/5 - 31724*z**3/5 - 167745936*z**2/5 - 59147212804*z - 295568349806/5 = 0 for z.
-5287, -1
Determine a so that 242*a**5 - 1034*a**4 - 1090*a**3 + 874*a**2 + 848*a + 160 = 0.
-1, -4/11, 1, 5
Factor 3*b**3 - 12*b**2.
3*b**2*(b - 4)
Determine v, given that 5*v**5/4 + 185*v**4 + 2760*v**3 + 16160*v**2 + 42560*v + 42240 = 0.
-132, -4
Find g, given that -3*g**5 - 9*g**4 + 390*g**3 = 0.
-13, 0, 10
Find z such that 20*z**3 - 372*z**2 + 1608*z + 704 = 0.
-2/5, 8, 11
Suppose -2*x**4/9 + 2*x**3/9 + 8*x**2/9 - 8*x/9 = 0. Calculate x.
-2, 0, 1, 2
Let -3*v**3 - 111*v**2 - 969*v + 1083 = 0. Calculate v.
-19, 1
Determine r so that r**5/3 + 3*r**4 + 5*r**3 - 25*r**2/3 = 0.
-5, 0, 1
Factor 4*j**3 + 152*j**2 + 256*j - 1152.
4*(j - 2)*(j + 4)*(j + 36)
Solve r**3/5 + 42*r**2/5 + 69*r - 2116/5 = 0.
-23, 4
Factor -5*d**2 + 30*d + 35.
-5*(d - 7)*(d + 1)
Determine z, given that 3*z**4/2 - 63*z**3 - 66*z**2 + 63*z + 129/2 = 0.
-1, 1, 43
Factor 5*i**4 - 210*i**3 - 15*i**2 + 620*i + 420.
5*(i - 42)*(i - 2)*(i + 1)**2
Factor -4*y**5 + 22*y**4 + 12*y**3.
-2*y**3*(y - 6)*(2*y + 1