3, -4/23, 0, 1
What is q in 24*q**5 + 92*q**4 + 44*q**3 - 92*q**2 - 68*q = 0?
-17/6, -1, 0, 1
Find g such that -2*g**2/19 + 28*g/19 + 10 = 0.
-5, 19
Factor k**4/3 + 30*k**3 + 643*k**2 - 4508*k/3 - 2116.
(k - 3)*(k + 1)*(k + 46)**2/3
Factor -10*q**2 - 78*q - 140.
-2*(q + 5)*(5*q + 14)
Suppose -20*q**5 + 85*q**4 - 80*q**3 - 65*q**2 + 100*q - 20 = 0. What is q?
-1, 1/4, 1, 2
Factor -z**2/2 - z/2.
-z*(z + 1)/2
Factor -2*g**3/15 + 10492*g**2/15 + 4198*g/3 + 10496/15.
-2*(g - 5248)*(g + 1)**2/15
Suppose -y**5/4 + 3*y**4 - 37*y**3/4 + 21*y**2/2 - 4*y = 0. Calculate y.
0, 1, 2, 8
Let -18*o**5 + 20*o**3 - 2*o = 0. Calculate o.
-1, -1/3, 0, 1/3, 1
Factor 3*v**3 - 18*v**2 - 39*v + 126.
3*(v - 7)*(v - 2)*(v + 3)
Find l, given that 3*l**3/4 + 381*l**2/4 + 3162*l + 8649 = 0.
-62, -3
Let -2*k**3/9 - 10*k**2 = 0. What is k?
-45, 0
Determine a so that 4*a**3 - 484*a**2 - 3012*a - 4572 = 0.
-3, 127
Suppose 96*j**4 + 5584*j**3 + 64422*j**2 - 505968*j + 161290 = 0. Calculate j.
-127/4, 1/3, 5
Suppose -2*q**3/9 + 92*q**2/9 + 208*q/9 - 256/3 = 0. Calculate q.
-4, 2, 48
Factor -8*b**5 + 20*b**4 - 16*b**3 + 4*b**2.
-4*b**2*(b - 1)**2*(2*b - 1)
Factor -3*x**2/4 - 15*x - 75.
-3*(x + 10)**2/4
Let o**5 + 5*o**4 + 8*o**3 + 4*o**2 = 0. Calculate o.
-2, -1, 0
Find i such that -i**2/2 - 3*i/2 + 2 = 0.
-4, 1
Determine y, given that -6*y**5 + 1063*y**4 - 1234*y**3 + 352*y**2 = 0.
0, 1/2, 2/3, 176
Determine k so that 2*k**4/11 + 6*k**3 + 54*k**2 + 1990*k/11 + 2100/11 = 0.
-21, -5, -2
Find n, given that 3*n**4 - 105*n**3 + 216*n**2 + 2220*n + 2688 = 0.
-2, 7, 32
Suppose 10*w**4/9 + 92*w**3/3 + 2098*w**2/9 + 832*w/3 - 1352/9 = 0. What is w?
-13, -2, 2/5
Factor -2*b**2/5 - 6*b - 28/5.
-2*(b + 1)*(b + 14)/5
Factor -85*i**3 + 945*i**2 - 110*i.
-5*i*(i - 11)*(17*i - 2)
What is v in 2*v**3/11 - 12*v**2/11 = 0?
0, 6
Find f such that 5*f**4/2 - 33*f**3/2 + 33*f**2 - 14*f - 12 = 0.
-2/5, 2, 3
Factor -175*n**3/4 + 15*n**2/2.
-5*n**2*(35*n - 6)/4
Factor 5*t**3 - 35*t**2 - 5*t + 35.
5*(t - 7)*(t - 1)*(t + 1)
Factor -m**4 - 29*m**3 - 26*m**2 + 56*m.
-m*(m - 1)*(m + 2)*(m + 28)
What is z in 3*z**3 - 51*z**2 + 216*z = 0?
0, 8, 9
Solve 3*p**2/5 - 147*p/5 + 1404/5 = 0 for p.
13, 36
Factor -2*c**4 + 74*c**3 - 786*c**2 + 1870*c - 1156.
-2*(c - 17)**2*(c - 2)*(c - 1)
Find u, given that 3*u**2 + 60*u + 57 = 0.
-19, -1
Let -2*x**2/5 - 8*x = 0. Calculate x.
-20, 0
Suppose -3*y**3 + 84*y**2 + 477*y + 594 = 0. Calculate y.
-3, -2, 33
What is m in 4*m**3 - 352*m**2 - 16*m + 1408 = 0?
-2, 2, 88
Factor -8*o**3/3 - 11998*o**2/3 - 1499000*o + 375000.
-2*(o + 750)**2*(4*o - 1)/3
Factor -6*g**2/5 - 8744*g/15 + 648/5.
-2*(g + 486)*(9*g - 2)/15
Factor -5*j**2 + 2270*j - 257645.
-5*(j - 227)**2
Factor h**4 - h**3 - 3*h**2 + h + 2.
(h - 2)*(h - 1)*(h + 1)**2
Find t such that -35*t**2 + 2600*t - 740 = 0.
2/7, 74
Factor -c**4/2 - 2*c**3 + 14*c**2 - 16*c.
-c*(c - 2)**2*(c + 8)/2
Let -3*z**3/2 + 951*z**2/2 - 1893*z/2 + 945/2 = 0. What is z?
1, 315
Solve -90*x**3 - 535*x**2 - 780*x + 45 = 0.
-3, 1/18
Factor 7*g**4/4 - 9*g**3/4 - 3*g**2/4 + 5*g/4.
g*(g - 1)**2*(7*g + 5)/4
What is v in -v**5/2 + 35*v**4/2 - 303*v**3/2 - 391*v**2/2 + 2890*v = 0?
-4, 0, 5, 17
Factor -20*i**3 - 408*i**2 + 720*i + 352.
-4*(i - 2)*(i + 22)*(5*i + 2)
Factor -2*n**2 - 6*n - 4.
-2*(n + 1)*(n + 2)
Let 2*j**2/9 + 56*j/9 - 110/3 = 0. Calculate j.
-33, 5
Factor -3*w**3 - 3669*w**2 + 3672*w.
-3*w*(w - 1)*(w + 1224)
Factor 2*l**2/23 + 134*l/23 - 1896/23.
2*(l - 12)*(l + 79)/23
Find o such that 2*o**4/21 + 34*o**3/21 + 88*o**2/21 + 8*o/3 = 0.
-14, -2, -1, 0
Solve 3*u**2/2 - 84*u - 174 = 0 for u.
-2, 58
Determine f, given that 2*f**5/11 + 12*f**4/11 + 18*f**3/11 - 8*f**2/11 - 24*f/11 = 0.
-3, -2, 0, 1
Factor 4*q**3 + 160*q**2/7 + 92*q/7 - 40/7.
4*(q + 1)*(q + 5)*(7*q - 2)/7
Factor -5*c**2 + 50*c + 375.
-5*(c - 15)*(c + 5)
Factor -3*z**3 - 66*z**2 + 477*z - 756.
-3*(z - 3)**2*(z + 28)
Factor -3*i**3 + 3*i**2.
-3*i**2*(i - 1)
Factor -2*v**3/21 + 2*v**2/7 + 8*v/21.
-2*v*(v - 4)*(v + 1)/21
Find t such that 2*t**3/11 - 124*t**2/11 + 888*t/11 - 1296/11 = 0.
2, 6, 54
Factor -3*x**3/5 - 297*x**2 - 49005*x - 2695275.
-3*(x + 165)**3/5
Determine b so that -35*b**4 + 305*b**3 - 435*b**2 + 95*b + 70 = 0.
-2/7, 1, 7
Determine s, given that -4*s**2 + 144*s + 820 = 0.
-5, 41
What is d in -2*d**2 - 1594*d/5 - 636/5 = 0?
-159, -2/5
Factor 38*p**3 + 471*p**2 - 297*p + 26.
(p + 13)*(2*p - 1)*(19*p - 2)
Factor 14*h**4 + 10*h**3 - 18*h**2 - 10*h + 4.
2*(h - 1)*(h + 1)**2*(7*h - 2)
Determine c so that 2*c**4 + 16*c**3 + 28*c**2 - 16*c - 30 = 0.
-5, -3, -1, 1
Find y, given that 2*y**2/7 + 418*y/7 = 0.
-209, 0
Factor -2*b**2/3 - 8*b - 40/3.
-2*(b + 2)*(b + 10)/3
Let -3*l**5 + 24*l**4 - 12*l**3 - 78*l**2 + 111*l - 42 = 0. What is l?
-2, 1, 7
Determine b so that -4*b**5 - 40*b**4 - 68*b**3 - 32*b**2 = 0.
-8, -1, 0
Factor -10*c**3 - 86*c**2 - 44*c + 32.
-2*(c + 1)*(c + 8)*(5*c - 2)
Factor 10*d**3 - 4284*d**2 + 1712*d.
2*d*(d - 428)*(5*d - 2)
What is b in b**3/2 + 96*b**2 + 191*b/2 = 0?
-191, -1, 0
Let -8*x**2/7 - 4*x + 36/7 = 0. Calculate x.
-9/2, 1
Factor 2*p**2/17 + 22*p/17 + 56/17.
2*(p + 4)*(p + 7)/17
Find d such that 4*d**3 + 4*d**2 - 7*d + 2 = 0.
-2, 1/2
Factor 3*o**5/2 + 441*o**4/2 + 7767*o**3 - 24639*o**2 + 50175*o/2 - 16875/2.
3*(o - 1)**3*(o + 75)**2/2
Solve 2*d**5/13 - 16*d**3/13 - 12*d**2/13 + 14*d/13 + 12/13 = 0.
-2, -1, 1, 3
Factor 5*b**3 + 830*b**2 + 34445*b.
5*b*(b + 83)**2
Factor 23*d**4/5 + 5*d**3 - 44*d**2/5 - 4*d/5.
d*(d - 1)*(d + 2)*(23*d + 2)/5
Factor -4*h**3/5 + 104*h**2/5 + 1028*h/5 + 408.
-4*(h - 34)*(h + 3)*(h + 5)/5
Factor -a**3 - 29*a**2/3 + 178*a/3 - 56/3.
-(a - 4)*(a + 14)*(3*a - 1)/3
Let i**4 - 2*i**3 - 48*i**2 + 98*i - 49 = 0. Calculate i.
-7, 1, 7
What is n in n**3/2 - 749*n**2/2 - 375*n = 0?
-1, 0, 750
Find g, given that -3*g**3 - 45*g**2 - 36*g + 84 = 0.
-14, -2, 1
Find q, given that -q**4 + 12*q**3 - 45*q**2 + 58*q - 24 = 0.
1, 4, 6
Factor f**2/3 + f.
f*(f + 3)/3
What is d in 9*d**5 + 66*d**4 - 158*d**3 - 168*d**2 + 341*d - 90 = 0?
-9, -5/3, 1/3, 1, 2
Factor -2*y**2/3 - 1256*y/3 - 197192/3.
-2*(y + 314)**2/3
Factor 2*w**2/5 + 304*w/5 + 11552/5.
2*(w + 76)**2/5
Factor -3*r**2/5 + 2172*r/5 - 393132/5.
-3*(r - 362)**2/5
Factor -4*h**2 + 148*h - 144.
-4*(h - 36)*(h - 1)
Find w such that -2*w**2/5 - 84*w/25 - 32/25 = 0.
-8, -2/5
Suppose -k**2/4 - 5*k/4 = 0. What is k?
-5, 0
Factor v**5/6 + v**4/2 - 3*v**3/2 + 5*v**2/6.
v**2*(v - 1)**2*(v + 5)/6
Determine u, given that -336*u**2 + 94*u + 6 = 0.
-3/56, 1/3
Suppose m**4/7 - 68*m**3/7 - 132*m**2 - 2848*m/7 - 2560/7 = 0. Calculate m.
-8, -2, 80
Factor 12*r**4 + 4*r**3 - 20*r**2 - 4*r + 8.
4*(r - 1)*(r + 1)**2*(3*r - 2)
What is s in -2*s**2 - 22*s - 48 = 0?
-8, -3
Suppose 2*j**2/5 - 54*j/5 = 0. Calculate j.
0, 27
Factor -3*g**3/8 - 15*g**2/2 - 3*g/8 + 945/4.
-3*(g - 5)*(g + 7)*(g + 18)/8
What is f in -2*f**5 - 104*f**4 - 666*f**3 - 1660*f**2 - 1816*f - 720 = 0?
-45, -2, -1
Suppose 5*a**2/6 + 7*a/2 + 2/3 = 0. What is a?
-4, -1/5
Factor -27*c**4 + 87*c**3 + 252*c**2 - 60*c.
-3*c*(c - 5)*(c + 2)*(9*c - 2)
Factor 3*c**5 - 582*c**4 - 594*c**3 + 1740*c**2 + 2919*c + 1170.
3*(c - 195)*(c - 2)*(c + 1)**3
Let -2*f**4 - 32*f**3 - 50*f**2 + 84*f = 0. What is f?
-14, -3, 0, 1
What is v in -2*v**2 + 1716*v - 368082 = 0?
429
Factor 15*k**2 - 50*k.
5*k*(3*k - 10)
Let 3*r**3 - 60*r**2 + 279*r - 378 = 0. Calculate r.
3, 14
What is o in -3*o**5/5 - 24*o**4/5 - 3*o**3 + 42*o**2/5 = 0?
-7, -2, 0, 1
What is m in 3*m**4 - 24*m**3 - 63*m**2 + 444*m + 480 = 0?
-4, -1, 5, 8
Factor l**3/2 - l**2/2 - 2*l + 2.
(l - 2)*(l - 1)*(l + 2)/2
Suppose -3*u**5/2 + 123*u**4/2 - 909*u**3/2 + 1461*u**2/2 - 336*u = 0. What is u?
0, 1, 7, 32
Factor 2*d**3/9 + 172*d**2/9 + 338*d/9 + 56/3.
2*(d + 1)**2*(d + 84)/9
Solve 4*t**2 - 1840*t + 211600 = 0.
230
Determine u so that -20*u**5 + 65*u**4 + 105*u**3 - 190*u**2 + 40*u = 0.
-2, 0, 1/4, 1, 4
Suppose -s**2/3 - 54*s - 2187 = 0. What is s?
-81
Determine n so that -5*n**5/6 + 667*n**4/6 + 1759*n**3/6 + 1225*n**2/6 - 67*n/3 - 136/3 = 0.
-1, 2/5, 136
Let k**3/3 + 11*k**2/3 - 14*k/3 - 8 = 0. What is k?
-12, -1, 2
Factor -j**3/3 - 17*j**2/3 + 209*j/3 + 75.
-(j - 9)*(j + 1)*(j + 25)/3
Determine b so that 2*b**2/3 - 80*b/3 + 800/3 = 0.
20
Factor -p**2 - 160*p - 471.
-(p + 3)*(p + 157)
Let -6*c**3/5 - 8*c