 76*r**2 + 220*r - 300.
4*(r - 1)*(r + 5)*(r + 15)
Let -j**4 - 6*j**3 + 17*j**2 + 6*j - 16 = 0. What is j?
-8, -1, 1, 2
Find j such that 4*j**5 - 8*j**4 - 592*j**3 - 1120*j**2 = 0.
-10, -2, 0, 14
Let 4*r**5 - 832*r**4 + 41552*r**3 + 179776*r**2 = 0. Calculate r.
-4, 0, 106
Factor -4*j**2 + 12*j.
-4*j*(j - 3)
Factor -20*j**3 + 4468*j**2 - 1784*j.
-4*j*(j - 223)*(5*j - 2)
Solve -3*m**2/7 + 375*m - 5238/7 = 0 for m.
2, 873
Factor -g**2/4 - 3*g/2 - 2.
-(g + 2)*(g + 4)/4
Determine h, given that 5*h**4 + 2010*h**3 - 5*h**2 - 2010*h = 0.
-402, -1, 0, 1
Factor -3*d**2/5 + 3834*d/5 - 1224963/5.
-3*(d - 639)**2/5
Factor y**3/4 - 379*y**2/4 + 189*y/2.
y*(y - 378)*(y - 1)/4
Factor -3*n**3 - 21*n**2 + 63*n + 81.
-3*(n - 3)*(n + 1)*(n + 9)
Factor -3*f**2/4 - 79*f/2 - 26.
-(f + 52)*(3*f + 2)/4
Factor 3*y**5 + 24*y**4 - 27*y**3.
3*y**3*(y - 1)*(y + 9)
Factor 6*g**4 - 27*g**3 + 45*g**2 - 33*g + 9.
3*(g - 1)**3*(2*g - 3)
Factor 2*n**3/13 - 8*n**2/13 - 22*n/13 - 12/13.
2*(n - 6)*(n + 1)**2/13
Let 1323*a**3/4 - 2555*a**2 - 729*a + 8 = 0. What is a?
-2/7, 2/189, 8
Determine g so that -5*g**4 + 180*g**3 - 510*g**2 + 500*g - 165 = 0.
1, 33
What is f in 3*f**2 + 111*f - 924 = 0?
-44, 7
Find c such that 2*c**2/11 - 944*c/11 + 942/11 = 0.
1, 471
Determine h so that h**4/3 + 5*h**3/3 - h**2/3 - 5*h/3 = 0.
-5, -1, 0, 1
Factor 3*u**3/7 + 480*u**2/7 - 969*u/7 + 486/7.
3*(u - 1)**2*(u + 162)/7
Find j, given that 4*j**5/3 - 4*j**4/3 - 124*j**3/3 - 284*j**2/3 - 56*j = 0.
-3, -2, -1, 0, 7
Let -5*l**3 - 775*l**2 - 29640*l + 30420 = 0. Calculate l.
-78, 1
Factor -2588881*c**2/5 + 6436*c/5 - 4/5.
-(1609*c - 2)**2/5
Determine m, given that -4*m**5 + 560*m**4 - 26500*m**3 + 440680*m**2 - 804080*m + 389344 = 0.
1, 46
Let -5*m**2 + 485*m + 5940 = 0. Calculate m.
-11, 108
Solve n**2 + 1266*n + 400689 = 0 for n.
-633
Factor -3*c**3 - 54*c**2 + 3645*c - 32400.
-3*(c - 15)**2*(c + 48)
Factor -3*l**2 - 255*l + 258.
-3*(l - 1)*(l + 86)
Factor -2*h**3 - 366*h**2 - 16560*h + 16928.
-2*(h - 1)*(h + 92)**2
Let b**5/3 - 5*b**4/9 - b**3/9 + 5*b**2/9 - 2*b/9 = 0. Calculate b.
-1, 0, 2/3, 1
Suppose -8*r**3 - 60*r**2 + 116*r + 672 = 0. What is r?
-8, -3, 7/2
Factor d**2/2 - 40*d - 168.
(d - 84)*(d + 4)/2
Solve 2*x**3/3 - 29*x**2/3 - 5*x = 0.
-1/2, 0, 15
What is y in -116*y**3 + 234*y**2 - 4*y = 0?
0, 1/58, 2
Suppose -64*f**3 + 96*f**2 + 252*f + 108 = 0. Calculate f.
-3/4, 3
Factor r**5/9 - 88*r**4/9 + 116*r**3 + 3670*r**2/9 + 3851*r/9 + 146.
(r - 73)*(r - 18)*(r + 1)**3/9
Find d such that -4*d**4 + 136*d**3 - 384*d**2 - 15624*d + 15876 = 0.
-9, 1, 21
Factor 2*z**4/7 - 12*z**3 - 38*z**2 - 180*z/7.
2*z*(z - 45)*(z + 1)*(z + 2)/7
Let -6*r**4 - 2644*r**3/7 - 2488*r**2/7 - 496*r/7 = 0. Calculate r.
-62, -2/3, -2/7, 0
Suppose 116*v**5 - 224*v**4 - 596*v**3 + 656*v**2 + 48*v = 0. Calculate v.
-2, -2/29, 0, 1, 3
Factor -4*b**3 + 44*b**2 + 100*b + 52.
-4*(b - 13)*(b + 1)**2
Factor -5*a**4 + 250*a**3 - 485*a**2 + 240*a.
-5*a*(a - 48)*(a - 1)**2
Let w**2 - 150*w + 149 = 0. Calculate w.
1, 149
Find y such that 4*y**3 - 60*y**2 - 64*y = 0.
-1, 0, 16
Factor 95*h**4 - 265*h**3 + 225*h**2 - 35*h - 20.
5*(h - 1)**3*(19*h + 4)
What is b in -5*b**2 - 30185*b = 0?
-6037, 0
Factor -4*c**2/7 + 256*c/7 - 4096/7.
-4*(c - 32)**2/7
Find a, given that -20*a**4 + 108*a**3 - 20*a**2 - 108*a + 40 = 0.
-1, 2/5, 1, 5
Find g such that -2*g**3/5 + 42*g**2/5 - 112*g/5 + 72/5 = 0.
1, 2, 18
Determine v, given that -v**3/10 + 4*v**2/5 + 31*v/10 + 11/5 = 0.
-2, -1, 11
Determine z so that 20*z**5 - 952*z**4 + 556*z**3 + 376*z**2 = 0.
-2/5, 0, 1, 47
Factor 4*r**3 + 145*r**2 - 112*r - 37.
(r - 1)*(r + 37)*(4*r + 1)
Factor 6*d**3/5 - 877*d**2/5 + 1016*d/5 - 29.
(d - 145)*(d - 1)*(6*d - 1)/5
Solve -9*t**5/5 + 21*t**4 - 444*t**3/5 + 828*t**2/5 - 672*t/5 + 192/5 = 0 for t.
2/3, 1, 2, 4
Determine w, given that 27*w**3/8 + 21*w**2/8 - 5*w/4 = 0.
-10/9, 0, 1/3
Factor -h**3/8 + 11*h**2/4 - 35*h/2 + 25.
-(h - 10)**2*(h - 2)/8
Factor -2*u**3/7 + 58*u**2/7 - 110*u/7 + 54/7.
-2*(u - 27)*(u - 1)**2/7
Factor -3*g**2/8 + 204*g - 27744.
-3*(g - 272)**2/8
What is r in -r**3 - 409*r**2 = 0?
-409, 0
Solve 7*t**4/3 + 23*t**3/3 - 22*t**2/3 - 92*t/3 - 8 = 0.
-3, -2, -2/7, 2
Factor k**5 + 12*k**4 + 8*k**3 - 106*k**2 + 135*k - 50.
(k - 1)**3*(k + 5)*(k + 10)
What is p in -50*p**3 + 1760*p**2 + 1432*p + 288 = 0?
-2/5, 36
Factor 2*p**4 - 18*p**3 + 12*p**2 + 32*p.
2*p*(p - 8)*(p - 2)*(p + 1)
Solve -8*h**4/5 + 36*h**3/5 + 208*h**2/5 + 144*h/5 - 128/5 = 0.
-2, 1/2, 8
Let n**5/4 - 5*n**4 + 18*n**3 + 119*n**2/2 - 905*n/4 - 525/2 = 0. Calculate n.
-3, -1, 5, 14
Find l such that -l**2/3 + 337*l/3 = 0.
0, 337
Factor -2*h**3/7 - 5704*h**2/7 + 11414*h/7 - 5708/7.
-2*(h - 1)**2*(h + 2854)/7
Factor -w**5/6 + 5*w**4/3 - 17*w**3/6 + 4*w**2/3.
-w**2*(w - 8)*(w - 1)**2/6
Suppose -z**3 + z**2 + 85*z + 275 = 0. Calculate z.
-5, 11
Solve -3*i**2/2 - 211*i - 140 = 0.
-140, -2/3
Suppose u**5/4 - u**4/2 - 7*u**3/4 + 5*u**2 - 3*u = 0. What is u?
-3, 0, 1, 2
Factor -p**4 + 96*p**3 - 2304*p**2.
-p**2*(p - 48)**2
Let 4*p**4 + 116*p**3/3 + 116*p**2/3 - 340*p/3 + 32 = 0. What is p?
-8, -3, 1/3, 1
Solve -2*v**2 - 64*v - 62 = 0 for v.
-31, -1
Factor -2*s**2/7 + 88*s/7 + 184/7.
-2*(s - 46)*(s + 2)/7
Let f**4 - 195*f**3 + 579*f**2 - 577*f + 192 = 0. What is f?
1, 192
Suppose 4*q**2 + 3652*q + 3648 = 0. What is q?
-912, -1
Determine p so that -21*p**2/8 - 57*p/8 + 405/4 = 0.
-54/7, 5
Suppose -2*w**2/7 + 216*w/7 + 230 = 0. What is w?
-7, 115
Factor 3*u**3/2 + 71*u**2 - 773*u/2 + 314.
(u - 4)*(u - 1)*(3*u + 157)/2
Suppose -t**4 + 2*t**2 - 1 = 0. What is t?
-1, 1
Factor -2*a**3/3 - 40*a**2/3 - 26*a/3 + 676.
-2*(a - 6)*(a + 13)**2/3
Factor 5*t**2 + 360*t - 3645.
5*(t - 9)*(t + 81)
Find b such that -5*b**4/3 + 10*b**3 + 160*b**2 + 1120*b/3 = 0.
-4, 0, 14
Solve 5*z**3 + 30*z**2 - 45*z - 70 = 0.
-7, -1, 2
Factor p**5 - 10*p**4 + 27*p**3 - 18*p**2.
p**2*(p - 6)*(p - 3)*(p - 1)
Let 2*k**2 - 322*k + 1256 = 0. What is k?
4, 157
Find k such that -2*k**4 + 2*k**3 + 356*k**2 + 1216*k - 3840 = 0.
-8, 2, 15
Find q, given that 4*q**3/5 + 106*q**2/5 + 146*q/5 - 20 = 0.
-25, -2, 1/2
Factor -2*z**3/11 - 10*z**2/11 + 12*z/11.
-2*z*(z - 1)*(z + 6)/11
Suppose -236*i**5 - 12*i**4 + 236*i**3 + 12*i**2 = 0. Calculate i.
-1, -3/59, 0, 1
Factor b**2/4 + 189*b/2.
b*(b + 378)/4
Factor -3*m**2/2 + 327*m/2 - 1212.
-3*(m - 101)*(m - 8)/2
Let f**2/5 + 19*f/5 + 84/5 = 0. What is f?
-12, -7
Let 3*b**3/8 - 9*b**2/8 - 3*b/2 + 9/2 = 0. What is b?
-2, 2, 3
Factor i**3/7 - i**2 - 248*i/7 - 240/7.
(i - 20)*(i + 1)*(i + 12)/7
Factor 3*m**2 + 12*m - 420.
3*(m - 10)*(m + 14)
Find j, given that j**5 - 39*j**4 + 435*j**3 - 1081*j**2 + 1008*j - 324 = 0.
1, 18
What is i in 4*i**3 + 152*i**2 - 1408*i + 2944 = 0?
-46, 4
What is d in 7*d**4/10 + 37*d**3/10 + 12*d**2/5 - 26*d/5 - 8/5 = 0?
-4, -2, -2/7, 1
Let 2*z**2/15 - 2*z/3 + 8/15 = 0. Calculate z.
1, 4
Find i, given that -2*i**5 - 29*i**4/2 + 13*i**3/2 + 305*i**2/2 + 75*i/2 = 0.
-5, -1/4, 0, 3
Factor -4*c**2 - 100*c - 600.
-4*(c + 10)*(c + 15)
Factor -f**4/6 - 12*f**3 + 75*f**2/2.
-f**2*(f - 3)*(f + 75)/6
Suppose -h**2 + 112*h/3 + 76/3 = 0. Calculate h.
-2/3, 38
Factor -t**5/4 - 11*t**4/2 - 15*t**3 - 29*t**2/2 - 19*t/4.
-t*(t + 1)**3*(t + 19)/4
Factor 5*m**2 - 2235*m + 2230.
5*(m - 446)*(m - 1)
Let -3*i**2 + 3*i + 270 = 0. What is i?
-9, 10
Suppose 3*b**5/8 + 9*b**4/8 - 9*b**3/4 - 3*b**2 = 0. What is b?
-4, -1, 0, 2
Factor -3*d**3 + 7947*d**2 - 23820*d + 15876.
-3*(d - 2646)*(d - 2)*(d - 1)
Suppose z**4 + 115*z**3 - 116*z**2 = 0. What is z?
-116, 0, 1
Determine g so that g**2/4 + 9*g - 117/4 = 0.
-39, 3
Let 10*t**3 - 15*t**2 - 40*t + 60 = 0. What is t?
-2, 3/2, 2
Suppose -6*q**4/5 + 948*q**3/5 - 50112*q**2/5 + 180444*q - 170610 = 0. What is q?
1, 47, 55
Factor 2*q**2/13 - 50*q/13.
2*q*(q - 25)/13
Find c such that -2*c**4 - 24*c**3 - 22*c**2 = 0.
-11, -1, 0
Suppose 2*l**2/13 - 40*l/13 + 72/13 = 0. Calculate l.
2, 18
Find h such that -2*h**4/5 + 8*h**3/5 + 18*h**2 = 0.
-5, 0, 9
Factor -5*q**3/2 + 155*q**2 + 5*q/2 - 155.
-5*(q - 62)*(q - 1)*(q + 1)/2
Solve 10*i**4/7 - 34*i**3/7 + 16*i**2/7 + 24*i/7 = 0.
-3/5, 0, 2
Factor 3*s**3 - 8631*s**2 + 6212160*s - 6203532.
3*(s - 1438)**2*(s - 1)
Factor 3*s**2 + 12888*s + 13841712.
3*(s + 2148)**2
Suppose 4*z**4 - 8*z**2 + 4 = 0. Calculate z.
-1, 1
What i