ve 2*u**4/5 - 2*u**3 + 2*u**2 + 2*u - 12/5 = 0 for u.
-1, 1, 2, 3
Factor 20*z**2 - 332*z + 192.
4*(z - 16)*(5*z - 3)
Solve 8*p**2 + 483*p/4 + 45/4 = 0.
-15, -3/32
Factor -o**2/3 + 9*o - 50/3.
-(o - 25)*(o - 2)/3
Factor 2*h**4/7 + 4*h**3/7 - 2*h**2/7 - 4*h/7.
2*h*(h - 1)*(h + 1)*(h + 2)/7
Suppose 2*t**3/21 - 10*t**2/3 + 550*t/21 - 1250/21 = 0. What is t?
5, 25
Solve 2*m**2 - 36*m = 0 for m.
0, 18
Suppose -2*w**2/9 - 68*w/9 - 22/3 = 0. Calculate w.
-33, -1
Factor -75*z**4 + 5760*z**3 - 112872*z**2 + 87552*z - 17328.
-3*(z - 38)**2*(5*z - 2)**2
Find b such that -5*b**2 + 80*b + 85 = 0.
-1, 17
Factor -w**3/11 + 14*w**2/11 - 49*w/11.
-w*(w - 7)**2/11
Solve -2*z**2/7 + 1216*z/7 + 2440/7 = 0 for z.
-2, 610
Suppose v**3 - 57*v**2 - 190*v + 600 = 0. Calculate v.
-5, 2, 60
Factor -4*c**3 - 192*c**2 - 3024*c - 15552.
-4*(c + 12)*(c + 18)**2
Solve r**2 - 71*r = 0 for r.
0, 71
Find q, given that 2*q**3 - 208*q**2 - 18*q + 1872 = 0.
-3, 3, 104
Determine q so that 4*q**5/9 - 316*q**4/3 + 18244*q**3/3 + 169924*q**2/9 + 57280*q/3 + 6400 = 0.
-1, 120
Suppose -3*m**3 + 243*m**2 - 4536*m - 15876 = 0. What is m?
-3, 42
Determine n so that 2*n**5/3 - 4*n**4/3 + 2*n**3/3 = 0.
0, 1
Suppose -4*z**4/3 + 1508*z**3/3 - 63500*z**2 + 8187500*z/3 - 15625000/3 = 0. Calculate z.
2, 125
Factor -3*y**4 - 6*y**3 + 24*y**2 + 54*y + 27.
-3*(y - 3)*(y + 1)**2*(y + 3)
Determine l so that 2*l**2/9 - 64*l/9 - 136/9 = 0.
-2, 34
Factor -54*p**4/5 + 504*p**3/5 - 996*p**2/5 - 168*p - 30.
-6*(p - 5)**2*(3*p + 1)**2/5
Factor -3*s**3/7 + 1605*s**2/7 - 30552*s - 215472/7.
-3*(s - 268)**2*(s + 1)/7
Factor -4*y**2 + 16*y + 20.
-4*(y - 5)*(y + 1)
Factor d**5/10 + 91*d**4/10 + 2203*d**3/10 + 6073*d**2/10 + 2948*d/5 + 968/5.
(d + 1)**3*(d + 44)**2/10
Factor 2*o**2 + 1046*o + 2084.
2*(o + 2)*(o + 521)
Let q**4/3 - 53*q**3 = 0. Calculate q.
0, 159
Factor -5*l**5 - 3480*l**4 - 814245*l**3 - 65627050*l**2 - 372151500*l - 547515000.
-5*(l + 3)**2*(l + 230)**3
Factor -4*p**3 - 196*p**2.
-4*p**2*(p + 49)
Find m, given that 5*m**5/2 - 245*m**4/2 + 575*m**3/2 + 5125*m**2/2 + 3760*m + 1610 = 0.
-2, -1, 7, 46
Solve -4*k**3 - 102*k**2/7 - 110*k/7 - 36/7 = 0 for k.
-2, -1, -9/14
Factor -5*a**4 + 25*a**3 + 15*a**2 - 65*a - 50.
-5*(a - 5)*(a - 2)*(a + 1)**2
Suppose f**2/6 + 52*f/3 + 1352/3 = 0. What is f?
-52
Let 36*i**4 - 1731*i**3 + 141*i**2 + 144*i = 0. What is i?
-1/4, 0, 1/3, 48
Factor a**3 + 63*a**2 + 123*a + 61.
(a + 1)**2*(a + 61)
Factor 2*w**3/3 + 28*w**2/3 + 64*w/3 - 256/3.
2*(w - 2)*(w + 8)**2/3
Determine u, given that 5*u**4/3 + 17480*u**3/3 + 17470*u**2 + 52400*u/3 + 17465/3 = 0.
-3493, -1
Factor -2*c**2/5 - 206*c/5 + 216.
-2*(c - 5)*(c + 108)/5
Suppose -2*r**4/17 + 108*r**3/17 - 312*r**2/17 + 308*r/17 - 6 = 0. What is r?
1, 51
Let 2*b**4/9 + 6*b**3 + 124*b**2/3 + 904*b/9 + 80 = 0. Calculate b.
-18, -5, -2
Factor 2*b**5/7 - 4*b**4 + 122*b**3/7 - 24*b**2 + 72*b/7.
2*b*(b - 6)**2*(b - 1)**2/7
Determine k so that -2*k**5 + 6*k**4 + 26*k**3 - 22*k**2 - 48*k + 40 = 0.
-2, 1, 5
Find p such that -p**2 + 112*p - 111 = 0.
1, 111
Find i such that i**4 - 5*i**3 + 3*i**2 + 5*i - 4 = 0.
-1, 1, 4
Find j, given that -2*j**5/11 + 1742*j**4/11 - 380186*j**3/11 + 374970*j**2/11 + 756900*j/11 = 0.
-1, 0, 2, 435
Factor 2*p**3/15 + 68*p**2 + 43008*p/5 - 262144/15.
2*(p - 2)*(p + 256)**2/15
Find j, given that 2*j**3/13 - 20*j**2/13 + 58*j/13 - 40/13 = 0.
1, 4, 5
Let 2*i**3 - 11*i**2 = 0. What is i?
0, 11/2
Find w, given that 5*w**5 - 1790*w**4 + 212405*w**3 - 8209800*w**2 - 17064000*w - 8640000 = 0.
-1, 120
Solve 4*p**2 - 1148*p - 9440 = 0 for p.
-8, 295
Factor 2*i**2/7 - 4*i/7.
2*i*(i - 2)/7
Determine x so that -40*x**5/3 - 598*x**4/15 + 1006*x**3/15 + 118*x**2/3 - 806*x/15 + 8/15 = 0.
-4, -1, 1/100, 1
Suppose -i**2 - 116*i + 117 = 0. Calculate i.
-117, 1
Factor 4*l**3 - 100*l**2 + 700*l - 1500.
4*(l - 15)*(l - 5)**2
Find h such that -12005*h**5 + 22050*h**4 + 3840*h**3 + 160*h**2 = 0.
-4/49, 0, 2
Determine v, given that 6*v**4 + 1238*v**3 + 408*v**2 - 824*v = 0.
-206, -1, 0, 2/3
Factor 3*i**3/4 + 183*i**2/4 + 45*i.
3*i*(i + 1)*(i + 60)/4
Suppose 3*o**3/2 - 3*o**2/2 - 15*o - 12 = 0. Calculate o.
-2, -1, 4
Determine f so that -3*f**5 + 930*f**4 - 106650*f**3 + 5242440*f**2 - 81351435*f - 701101458 = 0.
-6, 79
Factor 4*n**3 + 4*n**2 - 7700*n + 127500.
4*(n - 25)**2*(n + 51)
Suppose 4*v**5/9 + 68*v**4/9 - 4*v**3/9 - 68*v**2/9 = 0. Calculate v.
-17, -1, 0, 1
Factor -25*k**5 + 3340*k**4 - 104676*k**3 - 459584*k**2 - 473344*k.
-k*(k + 2)**2*(5*k - 344)**2
Solve 3*f**4 - 30*f**3 - 3*f**2 + 30*f = 0.
-1, 0, 1, 10
Suppose 18*b**5/7 - 163*b**4/7 - 45*b**3/7 + 75*b**2 - 353*b/7 + 18/7 = 0. What is b?
-2, 1/18, 1, 9
Find g, given that -4*g**2 + 3008*g - 565504 = 0.
376
Let -a**3 + 17*a**2 - 60*a = 0. Calculate a.
0, 5, 12
Suppose 2*i**4/9 - 2132*i**3/9 + 84016*i**2 - 88715200*i/9 - 180472064/9 = 0. Calculate i.
-2, 356
Suppose x**3/5 - 52*x**2/5 + 343*x/5 + 396/5 = 0. Calculate x.
-1, 9, 44
Determine u, given that 10*u**5 - 184*u**4 + 552*u**3 - 652*u**2 + 334*u - 60 = 0.
2/5, 1, 15
Factor x**4 - 82*x**3 - 3*x**2 + 248*x - 164.
(x - 82)*(x - 1)**2*(x + 2)
Solve -5*z**2 + 1579*z + 316 = 0 for z.
-1/5, 316
What is c in c**2/8 + 1457*c/4 + 2122849/8 = 0?
-1457
Solve 4*c**2/3 - 10*c/9 - 2/9 = 0.
-1/6, 1
What is l in -6*l**2/7 - 240*l/7 - 666/7 = 0?
-37, -3
Factor -2*k**4/5 + 2*k**3 + 2*k**2/5 - 2*k.
-2*k*(k - 5)*(k - 1)*(k + 1)/5
Determine k so that -2*k**4/21 - 8*k**3/21 + 2*k**2/3 + 68*k/21 + 16/7 = 0.
-4, -2, -1, 3
Factor -3*u**4 + 33*u**3 + 417*u**2 + 723*u + 342.
-3*(u - 19)*(u + 1)**2*(u + 6)
Factor -7*a**3 + 402*a**2 - 941*a + 330.
-(a - 55)*(a - 2)*(7*a - 3)
Find s such that 4*s**4/9 + 44*s**3/9 + 68*s**2/9 - 44*s/9 - 8 = 0.
-9, -2, -1, 1
Factor 2*g**3 + 7914*g**2 + 7824966*g - 7832882.
2*(g - 1)*(g + 1979)**2
Factor -5*v**4 + 20*v**3 + 20*v**2 - 80*v.
-5*v*(v - 4)*(v - 2)*(v + 2)
Factor b**2/3 + 15*b - 46/3.
(b - 1)*(b + 46)/3
Solve 2*h**2 + 640*h + 51200 = 0.
-160
Find q, given that 3*q**5/5 + 6*q**4/5 - 18*q**3/5 - 12*q**2 - 57*q/5 - 18/5 = 0.
-2, -1, 3
Factor -2*c**2/13 + 704*c/13 - 6174/13.
-2*(c - 343)*(c - 9)/13
Let 2*o**3/5 - 5314*o**2/5 + 3527166*o/5 + 3532482/5 = 0. What is o?
-1, 1329
Let -2*b**2/7 + 30*b/7 = 0. What is b?
0, 15
Solve -5*o**2 + 195*o - 190 = 0 for o.
1, 38
Factor 2*f**3 - 18*f**2 - 330*f + 3146.
2*(f - 11)**2*(f + 13)
Factor -2*s**2 - 232*s - 6728.
-2*(s + 58)**2
Factor 4*m**3 + 12*m**2.
4*m**2*(m + 3)
Suppose y**3 + 14*y**2/3 + 20*y/3 + 8/3 = 0. What is y?
-2, -2/3
Let -2*q**4/15 + 4*q**3/15 + 14*q**2/15 - 8*q/3 + 8/5 = 0. Calculate q.
-3, 1, 2
Factor -3*b**2/5 - 69*b/5 - 54.
-3*(b + 5)*(b + 18)/5
Find h such that -3*h**5 - 6*h**4 + 18*h**3 + 24*h**2 - 15*h - 18 = 0.
-3, -1, 1, 2
Factor -5*w**4/2 - 1570*w**3.
-5*w**3*(w + 628)/2
Suppose 3*p**2/4 + 12*p + 21 = 0. Calculate p.
-14, -2
Find a, given that 5*a**4/3 - 2*a**3/3 - 185*a**2 + 772*a/3 - 220/3 = 0.
-11, 2/5, 1, 10
Suppose 4*i**3 + 1644*i**2 + 1632*i - 3280 = 0. What is i?
-410, -2, 1
Factor 5*z**5 - 975*z**4 + 970*z**3.
5*z**3*(z - 194)*(z - 1)
Factor 5*n**2 + 1090*n + 59405.
5*(n + 109)**2
Find j such that -j**3/6 + 11*j**2/6 - 4*j/3 - 10/3 = 0.
-1, 2, 10
Let 10*v**5 + 14*v**4 - 36*v**3 - 56*v**2 - 16*v = 0. What is v?
-2, -1, -2/5, 0, 2
Factor -2*k**3/3 - 358*k**2/3 + 1088*k/3 - 728/3.
-2*(k - 2)*(k - 1)*(k + 182)/3
What is u in -4*u**3 - 84*u**2 + 180*u - 92 = 0?
-23, 1
Factor -6*q**4 + 46*q**3 - 88*q**2 + 40*q.
-2*q*(q - 5)*(q - 2)*(3*q - 2)
Determine x so that 6*x**2/7 + 152*x/7 - 104/7 = 0.
-26, 2/3
Factor -4*v**4 + 1568*v**3 - 4680*v**2 + 4672*v - 1556.
-4*(v - 389)*(v - 1)**3
Factor r**4/3 - 3*r**3 + 8*r**2 - 16*r/3.
r*(r - 4)**2*(r - 1)/3
Let -i**4 - 41*i**3/6 - 16*i**2 - 91*i/6 - 5 = 0. Calculate i.
-3, -2, -1, -5/6
Factor 3*u**2/2 - 9*u - 81/2.
3*(u - 9)*(u + 3)/2
Solve -s**3/5 - 192*s**2/5 - 12288*s/5 - 262144/5 = 0.
-64
Factor 4*s**4/7 - 268*s**3/7 + 524*s**2/7 - 260*s/7.
4*s*(s - 65)*(s - 1)**2/7
Factor f**3/4 - f**2 - 11*f + 24.
(f - 8)*(f - 2)*(f + 6)/4
Factor -g**3 - g**2 + 30*g + 72.
-(g - 6)*(g + 3)*(g + 4)
Factor 2*x**4/5 - 166*x**3/5 + 324*x**2/5.
2*x**2*(x - 81)*(x - 2)/5
Factor -3*q**3/8 - 3*q**2 + 9*q/2 + 54.
-3*(q - 4)*(q + 6)**2/8
What is b in b**5/5 - 8*b**4/5 - 3*b**3/5 + 22*b**2/5 + 16*b/5 = 0?
-1, 0, 2, 8
Fac