4 + 22*b**3 - 24*b**2 + 9*b = 0. What is b?
0, 1, 3
Let -2*h**3/11 + 310*h**2/11 - 1806*h/11 + 2682/11 = 0. What is h?
3, 149
Solve 3*m**5/2 + 60*m**4 - 1623*m**3 + 10350*m**2 - 32157*m/2 + 7290 = 0 for m.
-60, 1, 9
Determine b so that -4*b**2/5 + 768*b/5 + 468 = 0.
-3, 195
Solve 4*r**2 + 3552*r + 3548 = 0.
-887, -1
Factor 2*s**4 + 32*s**3 - 196*s**2 + 288*s - 126.
2*(s - 3)*(s - 1)**2*(s + 21)
What is a in a**2/3 - 188*a/3 + 8836/3 = 0?
94
What is k in 2*k**3 - 534*k**2 - 1616*k - 1080 = 0?
-2, -1, 270
Factor -x**4 - 5*x**3 + 14*x**2 + 36*x - 72.
-(x - 2)**2*(x + 3)*(x + 6)
Solve d**2/7 + 88*d/7 + 1936/7 = 0 for d.
-44
Let -g**2/3 - 175*g/3 - 58 = 0. Calculate g.
-174, -1
What is v in v**2 - 20*v = 0?
0, 20
Solve a**2/6 + 76*a/3 + 2888/3 = 0.
-76
Factor -m**4/3 + 9*m**3 + 88*m**2/3 + 20*m.
-m*(m - 30)*(m + 1)*(m + 2)/3
Factor 2*m**4/25 - 38*m**3/25 - 8*m**2/5.
2*m**2*(m - 20)*(m + 1)/25
Factor -2*j**2/5 + 182*j/5 - 36.
-2*(j - 90)*(j - 1)/5
Solve 2*c**4/9 + 14*c**3/9 - 2*c**2/3 - 46*c/9 - 28/9 = 0.
-7, -1, 2
Factor 4*c**3 + 92*c**2 - 212*c - 300.
4*(c - 3)*(c + 1)*(c + 25)
Factor 3*u**4 + 564*u**3 + 27066*u**2 + 52452*u + 25947.
3*(u + 1)**2*(u + 93)**2
Factor 162*q**3 + 1548*q**2 - 712*q + 80.
2*(q + 10)*(9*q - 2)**2
Factor r**4/6 - 13*r**3/3 - r**2/6 + 13*r/3.
r*(r - 26)*(r - 1)*(r + 1)/6
Let -2*h**5 - 14*h**4 + 20*h**3 + 32*h**2 = 0. What is h?
-8, -1, 0, 2
Find x such that x**5/6 - 50*x**4/3 + 399*x**3 + 918*x**2 - 2601*x/2 = 0.
-3, 0, 1, 51
Let -j**5/2 + 3*j**4/2 - 2*j**2 = 0. Calculate j.
-1, 0, 2
Suppose -n**3/9 + 3*n**2 + n/9 - 3 = 0. Calculate n.
-1, 1, 27
What is y in -5*y**4/2 - 125*y**3/2 - 645*y**2/2 + 1685*y/2 - 455 = 0?
-14, -13, 1
What is r in -r**5 - 22*r**4 - 31*r**3 + 182*r**2 + 32*r - 160 = 0?
-20, -4, -1, 1, 2
Factor -3*g**2 + 39*g + 270.
-3*(g - 18)*(g + 5)
Factor x**3 + 190*x**2/3 - 128*x/3.
x*(x + 64)*(3*x - 2)/3
Factor 2*q**3 - 23*q**2 + 11*q.
q*(q - 11)*(2*q - 1)
Suppose 2*n**3/3 - 52*n**2 + 1352*n - 35152/3 = 0. What is n?
26
Factor 3*y**3/2 - 75*y**2/2 + 48*y + 2688.
3*(y - 16)**2*(y + 7)/2
Determine a, given that -a**4 + 34*a**2 - 96*a + 63 = 0.
-7, 1, 3
Factor -5*a**5 + 20*a**4 - 25*a**3 + 10*a**2.
-5*a**2*(a - 2)*(a - 1)**2
Let 75*s**5 + 510*s**4 + 372*s**3 - 2328*s**2 - 1920*s - 384 = 0. Calculate s.
-4, -2/5, 2
Suppose -5*j**2 + 250*j - 245 = 0. Calculate j.
1, 49
Factor -2*c**3/5 - 4*c**2/5 + 2*c/5 + 4/5.
-2*(c - 1)*(c + 1)*(c + 2)/5
Factor 2*q**2/19 + 14*q/19 + 12/19.
2*(q + 1)*(q + 6)/19
Suppose 242*z**3 + 2398*z**2 - 439*z/2 + 5 = 0. Calculate z.
-10, 1/22
Suppose -s**2/2 + 19*s/2 = 0. Calculate s.
0, 19
Factor -2*n**5 + 10*n**4 - 14*n**3 + 6*n**2.
-2*n**2*(n - 3)*(n - 1)**2
Suppose -u**3/7 - u**2 = 0. Calculate u.
-7, 0
Solve k**3/2 + 15*k**2/2 + 22*k - 30 = 0 for k.
-10, -6, 1
Solve p**3 - 10*p**2 + 25*p = 0 for p.
0, 5
Factor 24*c**3 - 40*c**2 + 50*c/3.
2*c*(6*c - 5)**2/3
Let -q**2/2 - 39*q/4 - 19/4 = 0. Calculate q.
-19, -1/2
Determine v so that 3*v**5 - 45*v**4 + 69*v**3 + 129*v**2 - 144*v - 156 = 0.
-1, 2, 13
Factor -k**3/3 + 4*k**2/3 - 4*k/3.
-k*(k - 2)**2/3
Factor -2*f**4 + 128*f**3 + 130*f**2.
-2*f**2*(f - 65)*(f + 1)
Determine g so that -g**3/4 - 85*g**2/4 + 87*g/2 = 0.
-87, 0, 2
Find u such that -21*u**2 - 3*u + 18 = 0.
-1, 6/7
Factor -s**4/2 - 14*s**3 - 147*s**2 - 686*s - 2401/2.
-(s + 7)**4/2
Find b, given that 6*b**4 + 19*b**3 + 19*b**2 + 6*b = 0.
-3/2, -1, -2/3, 0
Suppose -h**5/6 - h**4 + 2*h**3/3 + 9*h**2 + 15*h/2 = 0. Calculate h.
-5, -3, -1, 0, 3
Factor -5*q**2 - 495*q + 8550.
-5*(q - 15)*(q + 114)
Find x such that x**3/4 - 37*x**2/4 + 9*x = 0.
0, 1, 36
Solve 2*v**4/5 - 28*v**3/5 - 6*v**2 = 0 for v.
-1, 0, 15
Factor -2*k**2/9 + 3272*k/9 - 1090/3.
-2*(k - 1635)*(k - 1)/9
Solve -4*d**3 + 62*d**2/5 - 6*d/5 = 0 for d.
0, 1/10, 3
Let o**3/3 - 5*o**2/3 - 111*o - 621 = 0. Calculate o.
-9, 23
Factor -18*f**3 - 9238*f**2 - 2052*f.
-2*f*(f + 513)*(9*f + 2)
Factor -10*t**3 - 62*t**2 - 92*t - 16.
-2*(t + 2)*(t + 4)*(5*t + 1)
Factor 2*o**3 + 2*o**2 - 2*o - 2.
2*(o - 1)*(o + 1)**2
Factor -3*j**3/4 - 75*j**2/2 - 1875*j/4.
-3*j*(j + 25)**2/4
What is f in f**4/6 + 11*f**3/3 + 103*f**2/6 - 21*f = 0?
-14, -9, 0, 1
Factor 5*x**3 + 745*x**2 - 1510*x.
5*x*(x - 2)*(x + 151)
Suppose 4*t**5 + 2020*t**4 + 254008*t**3 - 258056*t**2 - 254012*t + 256036 = 0. What is t?
-253, -1, 1
Factor a**5 + 25*a**4 + 163*a**3 + 135*a**2 - 864*a + 540.
(a - 1)**2*(a + 6)**2*(a + 15)
Find t, given that -t**3/4 + 27*t**2/4 - 38*t - 45 = 0.
-1, 10, 18
Factor -5*b**3 - 5115*b**2 - 1744215*b - 198259105.
-5*(b + 341)**3
Factor 2*w**2 - 110*w + 108.
2*(w - 54)*(w - 1)
Factor -54*c**4/7 + 3236*c**3/7 - 48360*c**2/7 - 3600*c/7.
-2*c*(c - 30)**2*(27*c + 2)/7
Factor 2*b**3 - 12*b**2 + 10*b.
2*b*(b - 5)*(b - 1)
Suppose -2*f**4/7 + 6*f**2/7 + 4*f/7 = 0. What is f?
-1, 0, 2
Suppose -4*x**2 + 128*x + 132 = 0. Calculate x.
-1, 33
Let -2*k**5 + 158*k**4 + 160*k**3 = 0. What is k?
-1, 0, 80
Determine y so that -2*y**3/9 - 248*y**2/9 + 1018*y/9 - 256/3 = 0.
-128, 1, 3
Factor -4*o**3 - 60*o**2 + 2000.
-4*(o - 5)*(o + 10)**2
Determine k, given that -k**4/4 + 639*k**3/2 = 0.
0, 1278
Factor 4*p**3 + 352*p**2 - 720*p.
4*p*(p - 2)*(p + 90)
Determine c so that 35*c**5 - 675*c**4 - 2015*c**3 - 1645*c**2 - 120*c + 220 = 0.
-1, 2/7, 22
Factor -4*p**5/9 + 2*p**4/9 + 2*p**3/9.
-2*p**3*(p - 1)*(2*p + 1)/9
Let -2*g**2/3 + 82*g/3 - 52 = 0. What is g?
2, 39
Let -3*j**3/7 - 159*j**2 + 6759*j/7 - 10179/7 = 0. What is j?
-377, 3
Find i such that -i**3/2 + 9*i**2/2 + 50*i + 96 = 0.
-4, -3, 16
Determine n, given that -3*n**2 - 21*n - 18 = 0.
-6, -1
Determine p, given that 2*p**3/9 - 32*p**2/9 + 10*p + 36 = 0.
-2, 9
Find u such that -2*u**2/9 - 5836*u/9 - 5834/9 = 0.
-2917, -1
Factor -5*t**3 + 80*t**2 + 180*t.
-5*t*(t - 18)*(t + 2)
Factor 2*i**2 + 148*i + 2450.
2*(i + 25)*(i + 49)
Factor -2*m**2/13 - 304*m - 150176.
-2*(m + 988)**2/13
Factor -4*u**3 - 16*u**2 + 268*u - 440.
-4*(u - 5)*(u - 2)*(u + 11)
Find h such that -42*h**5 + 369*h**4 - 228*h**3 - 321*h**2 + 270*h - 48 = 0.
-1, 2/7, 1/2, 1, 8
What is w in -2*w**3/5 + 992*w**2/5 - 3926*w/5 - 984 = 0?
-1, 5, 492
Find q, given that q**5/4 - 15*q**4/4 - 4*q**3 = 0.
-1, 0, 16
Determine x, given that -x**3 + 45*x**2 - 675*x + 3375 = 0.
15
What is w in -w**4/2 + 221*w**3/2 - 8103*w**2 + 194398*w + 202612 = 0?
-1, 74
Factor n**2 + 432*n + 46656.
(n + 216)**2
Let 2*a**3/3 + 70*a**2/3 + 208*a + 552 = 0. Calculate a.
-23, -6
Let -14*i**5 - 30*i**4 + 332*i**3 + 48*i**2 = 0. What is i?
-6, -1/7, 0, 4
Solve p**4/5 + 3*p**3 + 12*p**2/5 - 28*p/5 = 0 for p.
-14, -2, 0, 1
Find b, given that -6*b**5 - 320*b**4 - 1244*b**3/3 + 72*b**2 + 138*b - 104/3 = 0.
-52, -1, 1/3
Factor g**5 - 7*g**4 - 87*g**3 - 149*g**2 - 70*g.
g*(g - 14)*(g + 1)**2*(g + 5)
Let z**3/6 + 41*z**2/2 + 181*z/3 + 40 = 0. What is z?
-120, -2, -1
Factor 250*l**4 - 1550*l**3 + 1620*l**2 - 616*l + 80.
2*(l - 5)*(5*l - 2)**3
What is x in -6*x**5/5 - 339*x**4/5 + 555*x**3 - 1326*x**2 + 5736*x/5 - 1536/5 = 0?
-64, 1/2, 1, 2, 4
Let -36*y**4 - 8*y**3 + 36*y**2 + 8*y = 0. Calculate y.
-1, -2/9, 0, 1
Factor -2*i**4/3 + 28*i**3/3 - 22*i**2.
-2*i**2*(i - 11)*(i - 3)/3
Solve 4*f**2/3 - 56*f/3 + 44 = 0.
3, 11
What is g in -3*g**4 - 29*g**3 - 90*g**2 - 96*g - 32 = 0?
-4, -1, -2/3
Factor -2*t**2/13 - 6*t + 80/13.
-2*(t - 1)*(t + 40)/13
Factor i**5 - 9*i**4 - 33*i**3 - 35*i**2 - 12*i.
i*(i - 12)*(i + 1)**3
Factor 5*n**4 - 500*n**3 - 5*n**2 + 500*n.
5*n*(n - 100)*(n - 1)*(n + 1)
Factor -2*d**3/5 - 72*d**2/5 - 136*d/5.
-2*d*(d + 2)*(d + 34)/5
Factor -m**4/2 - 2*m**3 + 3*m**2 + 2*m - 5/2.
-(m - 1)**2*(m + 1)*(m + 5)/2
Find v such that -5*v**2/6 + 2665*v/6 - 1330/3 = 0.
1, 532
Solve -s**2 - 75*s - 146 = 0.
-73, -2
Factor -3*g**4/5 - 48*g**3/5 + 108*g**2/5.
-3*g**2*(g - 2)*(g + 18)/5
Factor -2*w**5 - 20*w**4 + 100*w**3 - 160*w**2 + 110*w - 28.
-2*(w - 1)**4*(w + 14)
Factor -2*m**2/5 + 102*m/5 + 104/5.
-2*(m - 52)*(m + 1)/5
Factor -6*a**3/7 + 1086*a**2/7 - 7392*a + 232320/7.
-6*(a - 88)**2*(a - 5)/7
Suppose -t**2/2 - 221*t - 48841/2 = 0. Calculate t.
-221
Let n**2/6 + 127*n/6 = 0. What is n?
-127, 0
Determine y, given that 441*y**5/4 - 1785*y**4/2 - 7881*y**3/4 - 2529*y**2/2 - 327*y - 30 = 0.
-1, -1/3, -2/7, 10
Factor 2*z**3/11 + 142*z**2/11 + 260*z/11 - 1104/11.
2*(z - 2)*(z + 4)*(z + 6