 3
Let 3*z**4 + 36*z**3 + 90*z**2 + 84*z + 27 = 0. Calculate z.
-9, -1
Factor -3*l**5/4 - 555*l**4/2 + 2229*l**3/4 - 279*l**2.
-3*l**2*(l - 1)**2*(l + 372)/4
Let -2*d**4/11 + 10*d**3/11 + 12*d**2/11 - 64*d/11 - 64/11 = 0. What is d?
-2, -1, 4
Let -8*i**3 + 3564*i**2 + 1788*i - 1784 = 0. Calculate i.
-1, 1/2, 446
Factor -i**3 + 7*i**2 - 14*i + 8.
-(i - 4)*(i - 2)*(i - 1)
Factor 5*g**3 - 165*g**2 + 1440*g - 1280.
5*(g - 16)**2*(g - 1)
Determine l so that -4*l**5 - 296*l**4 - 7156*l**3 - 62160*l**2 - 176400*l = 0.
-30, -7, 0
Find h such that h**2 + 13*h/4 + 3/4 = 0.
-3, -1/4
Factor d**3/4 - 17*d**2/4 - 129*d/4 - 207/4.
(d - 23)*(d + 3)**2/4
Factor -2*a**2/11 + 10*a/11 + 28/11.
-2*(a - 7)*(a + 2)/11
Suppose 2*s**2 + 44*s - 46 = 0. Calculate s.
-23, 1
Determine c so that 2*c**3/3 - 24*c**2 + 288*c - 1152 = 0.
12
Factor 2*c**2/3 - 30*c.
2*c*(c - 45)/3
Find z such that z**3/4 - 63*z**2/2 = 0.
0, 126
What is l in -2*l**4 - 24*l**3 + 230*l**2 + 252*l = 0?
-18, -1, 0, 7
Factor -6*i**4/5 - 73356*i**3/5 - 59794920*i**2 - 81261286500*i - 81201506250.
-6*(i + 1)*(i + 4075)**3/5
Factor -p**3 + 26*p**2 + 335*p + 900.
-(p - 36)*(p + 5)**2
Factor -d**2/4 + 125*d/4.
-d*(d - 125)/4
Let 3*m**5 + 123*m**4 + 1590*m**3 + 5214*m**2 - 15705*m + 8775 = 0. What is m?
-15, -13, 1
Suppose -h**2 - 504*h - 503 = 0. Calculate h.
-503, -1
Find g such that -3*g**4 + 33*g**3 + 126*g**2 + 12*g - 168 = 0.
-2, 1, 14
Factor 13*v**2/5 - 12*v/5 - 1/5.
(v - 1)*(13*v + 1)/5
Let -u**5/4 + 5*u**3/4 - u = 0. Calculate u.
-2, -1, 0, 1, 2
Solve -i**2/3 + 23*i = 0 for i.
0, 69
Factor h**2 + 185*h + 366.
(h + 2)*(h + 183)
Let -b**2/5 - 54*b/5 - 729/5 = 0. Calculate b.
-27
Let 2*l**2/5 - 252*l/5 + 7938/5 = 0. Calculate l.
63
Factor -3*n**2 + 1662*n - 230187.
-3*(n - 277)**2
Find i such that i**2/5 - 4*i + 96/5 = 0.
8, 12
Factor 6*j**3/5 - 8*j**2/5.
2*j**2*(3*j - 4)/5
Suppose 4*x**4 - 20*x**3 - 88*x**2 - 64*x = 0. Calculate x.
-2, -1, 0, 8
Find u, given that -4*u**4 + 164*u**3 - 308*u**2 - 164*u + 312 = 0.
-1, 1, 2, 39
Determine k so that 10*k**3 + 6*k**2 - 16*k = 0.
-8/5, 0, 1
Find t such that -2*t**4/3 + 38*t**3/3 - 110*t**2/3 - 50*t = 0.
-1, 0, 5, 15
Determine b so that 5*b**4 - 35*b**3 + 45*b**2 + 135*b - 270 = 0.
-2, 3
Let 14*u**2 - 6*u - 8 = 0. What is u?
-4/7, 1
Determine m, given that 36*m**5/7 + 11028*m**4/7 + 14512*m**3/7 - 39232*m**2/7 - 58624*m/7 - 19520/7 = 0.
-305, -2, -2/3, 2
Solve f**5 + 300*f**4 + 22194*f**3 - 46508*f**2 - 68403*f = 0 for f.
-151, -1, 0, 3
Factor b**2/2 - 25*b/2 - 13.
(b - 26)*(b + 1)/2
Factor 3*x**5 - 27*x**4 + 42*x**3.
3*x**3*(x - 7)*(x - 2)
Solve 2*f**3/17 - 6*f**2/17 - 26*f/17 + 30/17 = 0.
-3, 1, 5
Let w**4/4 + 3*w**3/2 - 19*w**2/4 - 6*w = 0. What is w?
-8, -1, 0, 3
Determine y, given that 36*y**5 - 12*y**4 - 152*y**3 + 128*y = 0.
-4/3, 0, 1, 2
Let 2*a**2/11 - 24*a/11 + 54/11 = 0. What is a?
3, 9
Let 2*o**4 + 2*o**3 - 20*o**2 + 16*o = 0. Calculate o.
-4, 0, 1, 2
Factor -2*a**3/7 + 1196*a**2/7 + 1198*a/7.
-2*a*(a - 599)*(a + 1)/7
Find h, given that -3*h**5 - 153*h**4 - 2625*h**3 - 17475*h**2 - 45000*h - 30000 = 0.
-20, -5, -1
Factor -4*j**3/5 + 108*j**2/5 + 80*j - 240.
-4*(j - 30)*(j - 2)*(j + 5)/5
Determine x, given that 5*x**4 + 55*x**3 - 360*x**2 - 900*x = 0.
-15, -2, 0, 6
Factor t**3/4 + 9*t**2/2 + 17*t/4.
t*(t + 1)*(t + 17)/4
Find b such that b**3/5 - 137*b**2/5 - 704*b/5 - 852/5 = 0.
-3, -2, 142
Factor -2*x**2 - 6*x - 4.
-2*(x + 1)*(x + 2)
Factor -h**4 + 11*h**3 - 10*h**2.
-h**2*(h - 10)*(h - 1)
Let -6*j**4/5 - 29*j**3/5 + 6*j**2/5 + j = 0. What is j?
-5, -1/3, 0, 1/2
Determine p, given that -p**3/4 + 5*p**2/4 - 2*p + 1 = 0.
1, 2
Factor b**4 - 40*b**3 + 512*b**2 - 2048*b.
b*(b - 16)**2*(b - 8)
Let -2*n**4/7 - 104*n**3/7 - 42*n**2 = 0. Calculate n.
-49, -3, 0
Factor -w**2/8 + 5*w/4.
-w*(w - 10)/8
Solve -14*b**5 - 844*b**4 + 684*b**3 + 4576*b**2 + 3794*b + 732 = 0 for b.
-61, -1, -2/7, 3
Find l, given that -l**5/7 + 11*l**4/7 + 103*l**3/7 - 11*l**2/7 - 102*l/7 = 0.
-6, -1, 0, 1, 17
Factor 4*a**3 - 20*a**2 - 4*a + 20.
4*(a - 5)*(a - 1)*(a + 1)
Factor 5*z**2 - 320*z + 5120.
5*(z - 32)**2
Solve 2*i**3/7 - 298*i**2/7 + 11248*i/7 - 10952/7 = 0 for i.
1, 74
Factor m**2/2 - 75*m/2 - 77.
(m - 77)*(m + 2)/2
Suppose 3*h**5 - 3*h**4 - 18*h**3 + 42*h**2 - 33*h + 9 = 0. Calculate h.
-3, 1
Suppose q**3/7 + 6*q**2/7 + 5*q/7 - 12/7 = 0. What is q?
-4, -3, 1
Let 15*y**3/2 + 39*y**2/4 - 171*y/4 - 27/2 = 0. Calculate y.
-3, -3/10, 2
Suppose k**5/4 + 12*k**4 + 11*k**3 - 71*k**2/2 - 45*k/4 + 47/2 = 0. Calculate k.
-47, -2, -1, 1
Find k such that 12*k**5 + 1484*k**4 + 42504*k**3 - 211936*k**2 + 36864*k + 131072 = 0.
-64, -2/3, 1, 4
Factor u**4/3 - 7*u**2/3 - 2*u.
u*(u - 3)*(u + 1)*(u + 2)/3
Factor -3*n**2 + 1878*n - 293907.
-3*(n - 313)**2
Solve 2*b**3 + 184*b**2 - 1166*b + 980 = 0 for b.
-98, 1, 5
Let -3*p**3 = 0. What is p?
0
Find h such that 2*h**4 - 12*h**3 - 40*h**2 + 300*h - 250 = 0.
-5, 1, 5
Determine l so that 4*l**2 + 172*l + 1560 = 0.
-30, -13
Let -2*x**5/19 + 12*x**4/19 + 584*x**3/19 - 1804*x**2/19 + 1818*x/19 - 32 = 0. Calculate x.
-16, 1, 19
Factor -24*w**3 - 135*w**2 + 69*w + 90.
-3*(w - 1)*(w + 6)*(8*w + 5)
Suppose 2*l**5/5 - 54*l**4/5 + 238*l**3/5 - 82*l**2 + 312*l/5 - 88/5 = 0. What is l?
1, 2, 22
Determine i, given that -i**4/3 + 6*i**3 - 27*i**2 = 0.
0, 9
Factor 21*z**4 + 3*z**3 - 21*z**2 - 3*z.
3*z*(z - 1)*(z + 1)*(7*z + 1)
Determine i, given that -4*i**5 + 28*i**4 - 44*i**3 + 20*i**2 = 0.
0, 1, 5
Factor -4*p**2 - 16*p.
-4*p*(p + 4)
Suppose 2*b**5 - 12*b**4 - 20*b**3 + 104*b**2 + 210*b + 100 = 0. What is b?
-2, -1, 5
Determine i so that 5*i**5 + 145*i**4 - 1300*i**3 - 1440*i**2 = 0.
-36, -1, 0, 8
Suppose 40*a**2/3 + 425*a - 160/3 = 0. Calculate a.
-32, 1/8
What is f in 4*f**3 - 64*f**2 - 940*f - 2600 = 0?
-5, 26
Let -3*h**4/5 + 11*h**3/5 - 3*h**2/5 - 11*h/5 + 6/5 = 0. What is h?
-1, 2/3, 1, 3
Suppose -2*o**5 - 832*o**4 - 2474*o**3 + 1676*o**2 + 9928*o + 6608 = 0. Calculate o.
-413, -2, -1, 2
Suppose -k**3/4 + 37*k**2/4 + 39*k/2 = 0. What is k?
-2, 0, 39
Factor -2*q**2/3 - 42*q - 124/3.
-2*(q + 1)*(q + 62)/3
Factor 2*k**2/15 - 58*k/15.
2*k*(k - 29)/15
Suppose 3*d**5/5 + 267*d**4/5 + 1584*d**3 + 15660*d**2 = 0. Calculate d.
-30, -29, 0
Solve -5*v**5 + 20*v**4 + 75*v**3 - 50*v**2 - 220*v - 120 = 0 for v.
-2, -1, 2, 6
Factor -u**2 + 41*u + 42.
-(u - 42)*(u + 1)
Suppose -21*q**3/8 + 2859*q**2/4 + 2469*q/2 - 411 = 0. What is q?
-2, 2/7, 274
Factor 2*r**3 + 30*r**2/7 - 38*r/7 - 6/7.
2*(r - 1)*(r + 3)*(7*r + 1)/7
Suppose 2*h**4/9 + 302*h**3/9 = 0. What is h?
-151, 0
Factor 5*b**4 + 35*b**3 + 70*b**2 + 40*b.
5*b*(b + 1)*(b + 2)*(b + 4)
Factor 12*a**3 + 80*a**2 + 156*a + 72.
4*(a + 3)**2*(3*a + 2)
Factor 4*z**4 + 4*z**3 - 24*z**2 - 16*z + 32.
4*(z - 2)*(z - 1)*(z + 2)**2
What is y in -20*y**2 + 4876*y + 976 = 0?
-1/5, 244
Factor 5*n**2 - 7730*n + 2987645.
5*(n - 773)**2
Let -4*o**4/5 + 12*o**3/5 + 4*o**2/5 - 12*o/5 = 0. Calculate o.
-1, 0, 1, 3
Let -j**5/6 - 5*j**4/3 + 34*j**3 + 1421*j**2/3 + 8437*j/6 + 968 = 0. What is j?
-11, -3, -1, 16
Solve -4*v**2 - 52*v - 48 = 0 for v.
-12, -1
What is o in 2*o**3/7 - 40*o**2/7 + 186*o/7 - 36 = 0?
3, 14
Find j such that 3*j**5/2 - 99*j**4 + 177*j**3/2 + 591*j**2 - 378*j - 780 = 0.
-2, -1, 2, 65
Find n, given that -n**5/2 - 5*n**4/2 + 17*n**3/2 + 121*n**2/2 + 100*n + 50 = 0.
-5, -2, -1, 5
Let n**4/3 - 4*n**3 + 35*n**2/3 + 4*n - 12 = 0. What is n?
-1, 1, 6
Determine m so that -5*m**2 - 1110*m - 61605 = 0.
-111
Suppose -9*r**4 + 174*r**3 + 119*r**2 + 20*r = 0. What is r?
-1/3, 0, 20
Factor 7*a**4/4 - 33*a**3/4 + 23*a**2/2 - 3*a - 2.
(a - 2)**2*(a - 1)*(7*a + 2)/4
Factor -v**2 - 16*v.
-v*(v + 16)
Factor h**2/6 - 187*h/6 + 185/3.
(h - 185)*(h - 2)/6
Factor -2*t**3/13 + 180*t**2/13 - 3864*t/13 - 8464/13.
-2*(t - 46)**2*(t + 2)/13
Factor -2*r**3 - 34*r**2 - 88*r - 56.
-2*(r + 1)*(r + 2)*(r + 14)
Suppose s**3/3 - 43*s/3 + 14 = 0. What is s?
-7, 1, 6
Find r such that r**4 + 49*r**3 + 575*r**2 - 625*r = 0.
-25, 0, 1
Find w, given that 15*w**4/2 - 198*w**3 + 531*w**2/2 - 75*w = 0.
0, 2/5, 1, 25
Solve -3*d**2/4 + 243*d/2 - 19683/4 = 0.
81
Suppose 2*r**3/13 - 10*r**2/13 - 88*r/13 - 120/13 = 0. Calculate r.
-3, -2, 10
Solve -2*q**4/13 + 152*q**3/13 + 836*q**2/13 - 2120*q/13 + 1134/13 = 0.
-7, 1, 81
Solve -578*f**4/3 + 5338*f**3/3 - 1232*