44 = 0. Calculate j.
-12, -3, 2
Factor 4*h**5/7 - 32*h**4/7 + 72*h**3/7 - 64*h**2/7 + 20*h/7.
4*h*(h - 5)*(h - 1)**3/7
Find h such that -2*h**4 - 24*h**3 - 38*h**2 + 24*h + 40 = 0.
-10, -2, -1, 1
Factor 3*x**3 - 21*x + 18.
3*(x - 2)*(x - 1)*(x + 3)
Find k such that -3*k**3/8 + 123*k**2/8 - 57*k/4 - 30 = 0.
-1, 2, 40
Solve 10*g**3 - 6545*g**2 + 1072560*g - 534645 = 0.
1/2, 327
Suppose 4*v**2/5 - 68*v + 5016/5 = 0. Calculate v.
19, 66
Determine n so that 4*n**5 + 22*n**4 - 80*n**3 + 10*n**2 + 76*n - 32 = 0.
-8, -1, 1/2, 1, 2
Factor 15*i**3 + 354*i**2 - 543*i - 450.
3*(i - 2)*(i + 25)*(5*i + 3)
Factor -3*p**2 - 402*p - 399.
-3*(p + 1)*(p + 133)
Factor 3*w**3/2 - 6*w**2 - 1914*w + 29040.
3*(w - 22)**2*(w + 40)/2
Solve l**5 - 5*l**4 + 6*l**3 + 2*l**2 - 7*l + 3 = 0.
-1, 1, 3
Solve 2*q**2 - 32*q - 520 = 0 for q.
-10, 26
Factor 6*p**2/25 + 22*p/25 + 4/5.
2*(p + 2)*(3*p + 5)/25
Factor -2*f**4/13 - 18*f**3/13 - 40*f**2/13.
-2*f**2*(f + 4)*(f + 5)/13
Solve -r**2/5 - 21*r/5 + 46/5 = 0.
-23, 2
Determine q, given that q**3 + 25*q**2 + 168*q + 144 = 0.
-12, -1
Suppose 3*n**5 - 69*n**4 + 246*n**3 - 354*n**2 + 231*n - 57 = 0. Calculate n.
1, 19
Factor 10*h**4 + 16*h**3 - 88*h**2 + 32*h.
2*h*(h - 2)*(h + 4)*(5*h - 2)
Let -2*b**5 + 64*b**4 + 528*b**3 - 2816*b**2 + 3040*b = 0. Calculate b.
-10, 0, 2, 38
Factor -55*c**3/3 + 25*c**2/3 + 215*c/3 + 45.
-5*(c + 1)**2*(11*c - 27)/3
Factor 3*c**4/7 - 6*c**3/7 - 9*c**2/7 + 12*c/7 + 12/7.
3*(c - 2)**2*(c + 1)**2/7
Solve u**3/3 - 16*u**2/3 + 13*u/3 + 10 = 0.
-1, 2, 15
Find v, given that 441*v**2/5 - 84*v + 20 = 0.
10/21
Let -21*l**4 + 447*l**3 + 903*l**2 - 1743*l + 414 = 0. Calculate l.
-3, 2/7, 1, 23
What is o in -2*o**2 + 1040*o + 2088 = 0?
-2, 522
Factor 4*l**2 - 2372*l + 2368.
4*(l - 592)*(l - 1)
Let -155*a**5 - 940*a**4 - 1455*a**3 - 710*a**2 - 40*a = 0. Calculate a.
-4, -1, -2/31, 0
Determine w so that -2*w**3 + 54*w + 108 = 0.
-3, 6
Suppose 5*d**4 - 20*d**3 - 300*d**2 = 0. What is d?
-6, 0, 10
Factor 9*k**3/5 + 3*k**2 - 102*k/5 - 72/5.
3*(k - 3)*(k + 4)*(3*k + 2)/5
Suppose -3*n**3 - 9*n**2 - 6*n = 0. Calculate n.
-2, -1, 0
Solve 162*i**5 + 738*i**4 + 944*i**3 + 112*i**2 - 224*i + 32 = 0 for i.
-2, -1, 2/9
Determine m, given that 12*m**4 + 65*m**3 + 71*m**2 + 10*m - 8 = 0.
-4, -1, -2/3, 1/4
Factor 2*v**3/9 + 134*v**2/9 + 770*v/3 + 242.
2*(v + 1)*(v + 33)**2/9
Let -2*t**5 - 10*t**4 + 24*t**3 + 72*t**2 = 0. Calculate t.
-6, -2, 0, 3
Find b, given that 5*b**3 + 1995*b**2 + 11835*b + 17685 = 0.
-393, -3
Let -2*c**3 - 20*c**2 + 206*c + 224 = 0. What is c?
-16, -1, 7
Factor z**4/5 - 148*z**3/5 + 5764*z**2/5 - 21312*z/5 + 20736/5.
(z - 72)**2*(z - 2)**2/5
Determine t so that -4*t**5 - 416*t**4 + 12*t**3 + 1240*t**2 - 832*t = 0.
-104, -2, 0, 1
Suppose 12*o**2 - 904*o + 300 = 0. Calculate o.
1/3, 75
Factor -2*s**3/3 - 58*s**2/3 - 176*s - 480.
-2*(s + 5)*(s + 12)**2/3
Factor -2*z**3 - 8*z**2 + 38*z - 28.
-2*(z - 2)*(z - 1)*(z + 7)
Factor 2*s**4/7 - 2*s**3 + 32*s**2/7 - 24*s/7.
2*s*(s - 3)*(s - 2)**2/7
Let -z**3/2 - 645*z**2 - 2574*z - 2572 = 0. What is z?
-1286, -2
Factor v**2 + 7*v + 6.
(v + 1)*(v + 6)
Determine c so that 2*c**2/3 + 22*c/3 - 28 = 0.
-14, 3
Factor -123627*f**3/4 - 124236*f**2 - 2439*f - 12.
-3*(f + 4)*(203*f + 2)**2/4
Factor 36*a**3/7 + 68*a**2/7 - 296*a/7 + 32/7.
4*(a - 2)*(a + 4)*(9*a - 1)/7
Factor c**4/7 - 59*c**3/7 - 255*c**2/7 + 171*c/7 + 162.
(c - 63)*(c - 2)*(c + 3)**2/7
Suppose i**4 + 10*i**3 - 111*i**2 + 152*i + 272 = 0. What is i?
-17, -1, 4
Let -q**2/4 + 39*q/4 - 77 = 0. What is q?
11, 28
What is p in 60*p**2 + 9*p - 6 = 0?
-2/5, 1/4
Factor -24*f**3/7 - 9*f**2 - 3*f + 18/7.
-3*(f + 1)*(f + 2)*(8*f - 3)/7
Let p**5/2 + 14*p**4 + 123*p**3/2 - 592*p**2 - 640*p = 0. Calculate p.
-16, -1, 0, 5
Factor 4*m**4/7 + 284*m**3/7.
4*m**3*(m + 71)/7
Factor -8*p**4/3 + 356*p**3/3 - 172*p**2.
-4*p**2*(p - 43)*(2*p - 3)/3
Suppose -5*t**3 - 120*t**2 - 400*t = 0. Calculate t.
-20, -4, 0
Find o, given that o**4/4 + 4*o**3 - 314*o**2 - 2640*o + 108900 = 0.
-30, 22
Factor -9*h**5 + 57*h**4 - 64*h**3 + 20*h**2.
-h**2*(h - 5)*(3*h - 2)**2
Let -5*i**4 + 35*i**3 + 315*i**2 - 1115*i + 770 = 0. Calculate i.
-7, 1, 2, 11
Find b, given that 2*b**3/5 - 188*b**2/5 = 0.
0, 94
Determine f, given that 5*f**5 + 405*f**4 + 8790*f**3 + 23990*f**2 + 23205*f + 7605 = 0.
-39, -1
Factor -5*l**3 + 125*l**2 - 395*l - 525.
-5*(l - 21)*(l - 5)*(l + 1)
Solve -2*l**2/13 - 146*l/13 - 2640/13 = 0 for l.
-40, -33
Suppose -3*v**2/4 + 27*v/4 + 15/2 = 0. Calculate v.
-1, 10
Let -51*c**2/8 - 177*c/8 - 9 = 0. Calculate c.
-3, -8/17
Find s, given that s**4 + 11*s**3 + 24*s**2 - 36*s = 0.
-6, 0, 1
Determine r so that 2*r**5 - 8*r**4 + 6*r**3 + 8*r**2 - 8*r = 0.
-1, 0, 1, 2
Factor -5*l**3 - 35*l**2 + 40*l.
-5*l*(l - 1)*(l + 8)
Find z such that -9*z**4/2 - 30*z**3 - 37*z**2/2 - 3*z = 0.
-6, -1/3, 0
Find g such that 2*g**4/9 - 8*g**3/9 - 10*g**2/9 = 0.
-1, 0, 5
Let 3*r**3 + 15*r**2 - 51*r - 63 = 0. Calculate r.
-7, -1, 3
Factor -2*t**2/3 - 8*t/3.
-2*t*(t + 4)/3
Find o, given that -6*o**5/11 - 32*o**4/11 + 68*o**3/11 - 16*o**2/11 - 14*o/11 = 0.
-7, -1/3, 0, 1
Solve 5*x**2 - 90*x - 200 = 0 for x.
-2, 20
Solve 3*q**2/2 - 411*q - 825/2 = 0 for q.
-1, 275
Factor 3*o**3 + 54*o**2 - 117*o + 60.
3*(o - 1)**2*(o + 20)
Factor 45*u**3 + 275*u**2 + 430*u + 200.
5*(u + 1)*(u + 4)*(9*u + 10)
Factor 3*p**2 - 204*p + 396.
3*(p - 66)*(p - 2)
Factor 56*f**2/3 + 148*f/3 + 24.
4*(f + 2)*(14*f + 9)/3
Solve -f**4 + 54*f**3 + 1008*f**2 + 1850*f + 897 = 0 for f.
-13, -1, 69
Suppose 3*d**5/2 + 1953*d**4/2 + 238143*d**3 + 25745361*d**2 + 2065766319*d/2 - 2117735283/2 = 0. What is d?
-163, 1
Let -70*j**5 - 75*j**4 + 135*j**3 + 10*j**2 = 0. Calculate j.
-2, -1/14, 0, 1
Factor 5*i**2/2 + 165*i + 1525/2.
5*(i + 5)*(i + 61)/2
Factor -35*n**3 - 230*n**2 - 105*n + 90.
-5*(n + 1)*(n + 6)*(7*n - 3)
Factor 2*y**3 - 36*y**2 - 42*y + 76.
2*(y - 19)*(y - 1)*(y + 2)
Find n such that 5*n**2 + 65*n/3 + 20/3 = 0.
-4, -1/3
Factor -2*a**2 - 760*a - 72200.
-2*(a + 190)**2
Let 3*a**2 - 147 = 0. What is a?
-7, 7
Factor 10*a**4 + 45*a**3 - 85*a**2 + 30*a.
5*a*(a - 1)*(a + 6)*(2*a - 1)
Let -4*d**4 + 8*d**3 + 12*d**2 - 16*d - 16 = 0. What is d?
-1, 2
What is c in c**3 - 8*c**2 - 261*c - 252 = 0?
-12, -1, 21
Factor 4*d**5 - 52*d**4 + 228*d**3 - 380*d**2 + 200*d.
4*d*(d - 5)**2*(d - 2)*(d - 1)
Factor 4*q**2 - 104*q - 3420.
4*(q - 45)*(q + 19)
Suppose 6*b**3/5 + 204*b**2 + 20262*b/5 + 107448/5 = 0. What is b?
-148, -11
Find r such that 2*r**3/13 + 504*r**2/13 + 42336*r/13 + 1185408/13 = 0.
-84
Factor 4*o**2 + 124*o + 880.
4*(o + 11)*(o + 20)
Solve 14*c**3 - 3*c**2 = 0 for c.
0, 3/14
Determine y so that -5*y**5 - 85*y**4 - 500*y**3 - 1140*y**2 - 720*y = 0.
-6, -4, -1, 0
Find x, given that 4*x**4 - 20*x**3 - 84*x**2 - 92*x - 32 = 0.
-1, 8
Suppose -t**5/11 - 20*t**4/11 - 144*t**3/11 - 486*t**2/11 - 783*t/11 - 486/11 = 0. Calculate t.
-9, -3, -2
What is v in 3*v**2/2 - 714*v = 0?
0, 476
Factor -o**5/5 + o**4/5 + 11*o**3/5 - 29*o**2/5 + 26*o/5 - 8/5.
-(o - 2)*(o - 1)**3*(o + 4)/5
Find r, given that 3*r**5/2 + 231*r**4/2 - 993*r**3 + 2271*r**2 - 4065*r/2 + 1275/2 = 0.
-85, 1, 5
Factor 2*p**3/9 - 16*p**2/9 + 22*p/9 + 40/9.
2*(p - 5)*(p - 4)*(p + 1)/9
Factor -2*k**2 - 17*k/3 - 10/3.
-(k + 2)*(6*k + 5)/3
Find i such that -14*i**4 - 35888*i**3 + 143576*i**2/7 - 20512*i/7 = 0.
-2564, 0, 2/7
Solve 21*y**4/4 + 33*y**3 - 111*y**2/4 - 21*y/2 = 0.
-7, -2/7, 0, 1
Factor -2*r**4/7 + 16*r**3/7 - 32*r**2/7.
-2*r**2*(r - 4)**2/7
Find t, given that 2*t**2/5 - 598*t/5 - 1812/5 = 0.
-3, 302
Factor -z**2/7 + 165*z/7 - 800/7.
-(z - 160)*(z - 5)/7
Find y, given that 2*y**4 - 10*y**3 - 14*y**2 + 10*y + 12 = 0.
-1, 1, 6
Factor l**2 - 1201*l/3 + 400/3.
(l - 400)*(3*l - 1)/3
Factor s**5/3 - 2*s**4 + 5*s**3/3.
s**3*(s - 5)*(s - 1)/3
Factor 33*k**3 + 138*k**2 + 144*k.
3*k*(k + 2)*(11*k + 24)
Factor -12*d**3 + 44*d**2 - 32*d - 16.
-4*(d - 2)**2*(3*d + 1)
Suppose 2*w**3/7 - 96*w**2/7 - 638*w/7 - 540/7 = 0. What is w?
-5, -1, 54
Solve -21*b**3/2 - 405*b**2/2 + 1212*b - 1530 = 0.
-170/7, 2, 3
Suppose 4*v**5 - 16*v**4 - 108*v**3 + 280*v**2 + 800*v = 0. Calculate v.
-4, -2, 0, 5
Determine m so that 16*m**5 - 836*m**4 + 4384*m**3 + 9868*m**2 + 3160*m - 1472 = 0.
-1, 1/4, 8, 46
Let 66*a**3/5 + 272*a**2/5 + 574*a/15 - 196/5 = 0. Calculate a.
-7/3, 6