35*k - 150.
-5*(k - 15)*(3*k - 2)
Suppose q**5/5 + 28*q**4/5 + 187*q**3/5 - 252*q**2/5 - 1764*q/5 = 0. What is q?
-14, -3, 0, 3
Find s such that -4*s**3 - 24*s**2 + 28*s = 0.
-7, 0, 1
Factor -4*w**3 + 15340*w**2 - 14714892*w + 14699556.
-4*(w - 1917)**2*(w - 1)
Factor -4*w**2/7 + 3728*w/7 - 868624/7.
-4*(w - 466)**2/7
Solve -h**4/7 - 9*h**3/7 - 15*h**2/7 + 25*h/7 = 0.
-5, 0, 1
Solve 5*j**4 - 75*j**3 + 70*j**2 = 0.
0, 1, 14
Factor -d**5/3 - 32*d**4/3 + 34*d**3 - 104*d**2/3 + 35*d/3.
-d*(d - 1)**3*(d + 35)/3
Determine w, given that -2*w**4/7 + 4*w**3/7 + 48*w**2/7 = 0.
-4, 0, 6
Suppose -2*v**3/9 + 76*v**2/9 = 0. What is v?
0, 38
Determine x, given that -x**4/3 + 25*x**3/3 - 32*x**2/3 - 1792*x/3 = 0.
-7, 0, 16
Factor -4*h**3 - 324*h**2 + 2464*h.
-4*h*(h - 7)*(h + 88)
Factor 2*z**4/19 - 192*z**3/19 + 378*z**2/19 - 188*z/19.
2*z*(z - 94)*(z - 1)**2/19
Solve -c**2 + 3*c + 10 = 0.
-2, 5
Solve -n**4 + 3*n**3 + 28*n**2 - 60*n = 0.
-5, 0, 2, 6
Solve -b**3/4 - 49*b**2/4 + 77*b/2 - 26 = 0 for b.
-52, 1, 2
Factor -4*z**2 - 448*z + 452.
-4*(z - 1)*(z + 113)
Find c such that -4*c**3 - 180*c**2 - 176*c = 0.
-44, -1, 0
Factor l**2 - 2011*l/3 - 1342/3.
(l - 671)*(3*l + 2)/3
What is s in -2*s**5 + 66*s**4 - 184*s**3 + 120*s**2 = 0?
0, 1, 2, 30
Let -v**4 + 14*v**3 + 35*v**2 - 48*v = 0. What is v?
-3, 0, 1, 16
Let -g**3 - 232*g**2 - 13685*g - 26450 = 0. What is g?
-115, -2
What is w in -75*w**2 - 1056*w - 84 = 0?
-14, -2/25
Factor 5*i**2 + 12460*i + 7762580.
5*(i + 1246)**2
Factor 25*d**5/6 - 115*d**4/6 + 68*d**3/3 - 8*d**2.
d**2*(d - 3)*(5*d - 4)**2/6
Suppose 2*u**3/9 + 176*u**2/9 + 4346*u/9 + 6724/3 = 0. Calculate u.
-41, -6
Factor o**3 - 18*o**2 - 61*o - 42.
(o - 21)*(o + 1)*(o + 2)
Factor d**2/5 + 3*d - 364/5.
(d - 13)*(d + 28)/5
Factor 5*v**4 - 1155*v**3.
5*v**3*(v - 231)
Factor -l**4 - 44*l**3 - 484*l**2.
-l**2*(l + 22)**2
Solve 2*f**2/7 + 66*f/7 - 20 = 0.
-35, 2
Find r, given that -4*r**4 - 680*r**3 + 3476*r**2 - 4200*r = 0.
-175, 0, 2, 3
Suppose k**4/5 + 4*k**3 - 6*k**2/5 - 100*k - 95 = 0. Calculate k.
-19, -5, -1, 5
Let 3*f**3/5 - 597*f**2/5 + 5880*f + 6000 = 0. Calculate f.
-1, 100
Suppose 2*v**4 - 24*v**3 + 70*v**2 + 24*v - 72 = 0. Calculate v.
-1, 1, 6
Factor 3*s**4/4 + 75*s**3/4 - 3*s**2/4 - 75*s/4.
3*s*(s - 1)*(s + 1)*(s + 25)/4
Factor -a**2/3 - 20*a/3.
-a*(a + 20)/3
Factor 5*l**3 - 165*l**2 - 740*l.
5*l*(l - 37)*(l + 4)
Solve 27*n**3 + 3555*n**2 + 2361*n + 393 = 0.
-131, -1/3
Solve -d**3/4 + 31*d**2/4 - 155*d/4 + 125/4 = 0.
1, 5, 25
Factor h**3/5 + 103*h**2/5 + 1711*h/5 - 10443.
(h - 15)*(h + 59)**2/5
Factor s**4 - s**3 - 12*s**2 + 28*s - 16.
(s - 2)**2*(s - 1)*(s + 4)
Suppose 4*k**2/7 + 1040*k/7 + 67600/7 = 0. What is k?
-130
Factor 6*g**3 + 207*g**2/2 + 243*g/2 + 24.
3*(g + 1)*(g + 16)*(4*g + 1)/2
Suppose -5*t**3/4 - 35*t**2 - 265*t/4 - 65/2 = 0. Calculate t.
-26, -1
Suppose 45*d**4 - 1260*d**3 - 35*d**2 + 970*d + 280 = 0. Calculate d.
-2/3, -1/3, 1, 28
Factor 6*q**2 + 4983*q - 2493.
3*(q + 831)*(2*q - 1)
Factor -m**4/4 + 3*m**3/2 + 3*m**2/4 - 14*m + 12.
-(m - 4)**2*(m - 1)*(m + 3)/4
Factor 3*a**2 - 168*a + 324.
3*(a - 54)*(a - 2)
Find p such that p**4/2 + p**3/3 - p**2/6 = 0.
-1, 0, 1/3
Factor -4*c**4 + 496*c**3 - 1460*c**2 + 968*c.
-4*c*(c - 121)*(c - 2)*(c - 1)
Factor -4*i**2 - 15808*i - 15618304.
-4*(i + 1976)**2
Factor 35*d**4 - 150*d**3 + 145*d**2 - 30*d.
5*d*(d - 3)*(d - 1)*(7*d - 2)
Factor f**5 - 17*f**4 + 15*f**3 + 17*f**2 - 16*f.
f*(f - 16)*(f - 1)**2*(f + 1)
Solve 15*x**2 - 3246*x + 1296 = 0.
2/5, 216
Factor 36*b**2 - 23552*b + 5232.
4*(b - 654)*(9*b - 2)
Suppose -1089*d**4/10 - 9867*d**3/5 - 18614*d**2/5 - 2148*d/5 - 64/5 = 0. What is d?
-16, -2, -2/33
Suppose -4*n**2 - 16*n = 0. Calculate n.
-4, 0
Factor g**2 - 33*g + 162.
(g - 27)*(g - 6)
Suppose 3*x**3 - 4872*x**2 + 1973151*x + 3965814 = 0. Calculate x.
-2, 813
Solve -6*p**3 + 105*p**2 + 168*p + 57 = 0.
-1, -1/2, 19
Solve 4*s**3/9 - 4*s**2/9 - 8*s/9 = 0.
-1, 0, 2
Factor 5*u**2 + 26770*u + 35831645.
5*(u + 2677)**2
Factor 35*q**2 + 40*q - 60.
5*(q + 2)*(7*q - 6)
Factor 85*x**3 - 945*x**2 + 1640*x - 180.
5*(x - 9)*(x - 2)*(17*x - 2)
Determine w so that 3*w**3 + 708*w**2 - 2151*w = 0.
-239, 0, 3
What is k in -k**5/2 - 5*k**4/4 + 35*k**3/4 - 10*k**2 + 3*k = 0?
-6, 0, 1/2, 1, 2
Factor q**2 - 928*q + 1852.
(q - 926)*(q - 2)
Determine c, given that -98*c**5 - 21126*c**4 - 11950*c**3 + 19406*c**2 + 12048*c + 1720 = 0.
-215, -1, -2/7, 1
Suppose 9*g**3 - 12*g**2 - 45*g = 0. Calculate g.
-5/3, 0, 3
Solve 39*j**2 + 153*j + 150 = 0.
-2, -25/13
Solve x**2 - 1126*x + 316969 = 0.
563
Factor 3*i**2/4 - 99*i/4 + 345/2.
3*(i - 23)*(i - 10)/4
Factor 4*r**3 - 460*r**2 + 12992*r + 13456.
4*(r - 58)**2*(r + 1)
Solve l**2 + 10*l - 11 = 0.
-11, 1
Factor -v**3/9 - 2*v**2/3 + 37*v/9 - 10/3.
-(v - 3)*(v - 1)*(v + 10)/9
Factor -22*x**2/3 - 28*x + 16/3.
-2*(x + 4)*(11*x - 2)/3
Factor y**3/4 + 335*y**2/4 + 83*y - 167.
(y - 1)*(y + 2)*(y + 334)/4
Factor -d**2/6 - 67*d/2 + 102.
-(d - 3)*(d + 204)/6
Factor -q**3/5 + 20*q**2 - 384*q/5.
-q*(q - 96)*(q - 4)/5
Let 5*d**4 + 79*d**3 + 304*d**2 - 64*d = 0. Calculate d.
-8, 0, 1/5
Determine b so that -31*b**3 + 715*b**2 + 698*b - 48 = 0.
-1, 2/31, 24
Factor -o**3/6 + 123*o**2/2 + 248*o + 746/3.
-(o - 373)*(o + 2)**2/6
Determine v, given that -v**5/2 - 89*v**4/2 + 557*v**3/2 - 1223*v**2/2 + 568*v - 190 = 0.
-95, 1, 2
Suppose -2*x**3/13 - 54*x**2/13 + 180*x/13 = 0. What is x?
-30, 0, 3
Factor y**3 - 13*y**2 - 152*y - 336.
(y - 21)*(y + 4)**2
Solve -r**2/7 - 400*r/7 - 40000/7 = 0.
-200
Factor -5*u**2/3 + 155*u/3.
-5*u*(u - 31)/3
Determine l so that -2*l**5/5 + 144*l**4/5 - 1962*l**3/5 - 22276*l**2/5 - 12864*l - 11520 = 0.
-3, -2, 40
Factor 2*f**2 + 64*f + 512.
2*(f + 16)**2
Factor 5*c**2 - 30*c - 455.
5*(c - 13)*(c + 7)
Factor 2*a**4 - 20*a**3 - 192*a**2.
2*a**2*(a - 16)*(a + 6)
Find p such that 55*p**4 + 530*p**3 + 735*p**2 + 100*p - 160 = 0.
-8, -1, 4/11
Suppose 2*y**2/5 + 92*y/5 + 546/5 = 0. What is y?
-39, -7
Solve 3*h**4/2 - 21*h**3/2 + 27*h**2 - 30*h + 12 = 0 for h.
1, 2
Factor i**5/7 - 6*i**4/7 - 9*i**3/7 + 2*i**2.
i**2*(i - 7)*(i - 1)*(i + 2)/7
What is b in 5*b**2 + 8025*b + 8020 = 0?
-1604, -1
Factor 3*l**2 + 36*l - 84.
3*(l - 2)*(l + 14)
Determine g so that 3*g**2 + 47988*g + 191904012 = 0.
-7998
Factor 2*g**3/9 - 6*g + 12.
2*(g - 3)**2*(g + 6)/9
Suppose -2*b**5/13 - 8*b**4/13 - 10*b**3/13 - 4*b**2/13 = 0. What is b?
-2, -1, 0
Suppose -2*i**3/3 + 54*i**2 - 1458*i + 13122 = 0. Calculate i.
27
Determine y, given that 2*y**2/3 - 1036*y/3 + 4112/3 = 0.
4, 514
Factor -5*a**3/2 - 43*a**2 - 144*a + 144.
-(a + 6)*(a + 12)*(5*a - 4)/2
Suppose 4*z**3 - 3532*z**2 - 7076*z - 3540 = 0. What is z?
-1, 885
Factor 2*h**2/5 - 2236*h/5 + 624962/5.
2*(h - 559)**2/5
Determine y so that 5*y**3/2 - 55*y**2 + 350*y - 500 = 0.
2, 10
What is z in 4*z**4/3 + 4*z**3 - 20*z**2/3 - 4*z + 16/3 = 0?
-4, -1, 1
What is z in 2*z**3/13 - 20*z**2/13 + 32*z/13 = 0?
0, 2, 8
Factor -i**2/4.
-i**2/4
Let 2*c**4/15 + 438*c**3/5 + 95922*c**2/5 + 7002306*c/5 = 0. Calculate c.
-219, 0
Suppose -x**3/7 - 250*x**2/7 + 333*x = 0. What is x?
-259, 0, 9
What is a in 5*a**2 - 165*a = 0?
0, 33
Determine t so that 3*t**4 + 3*t**3 - 288*t**2 - 1188*t = 0.
-6, 0, 11
Find w, given that -4*w**2/3 - 512*w/3 + 704 = 0.
-132, 4
Suppose 4*c**5 - 4*c**4 - 56*c**3 + 96*c**2 = 0. What is c?
-4, 0, 2, 3
Let 5*d**2 - 870*d + 37845 = 0. Calculate d.
87
Determine r so that 5*r**4 - 75*r**3 + 65*r**2 + 75*r - 70 = 0.
-1, 1, 14
Find b such that b**4 + 10*b**3 - 312*b**2 + 1526*b - 1225 = 0.
-25, 1, 7
Factor 10*p**3 + 1316*p**2 - 10258*p + 3892.
2*(p - 7)*(p + 139)*(5*p - 2)
Solve -3*c**3 - 27*c**2 + 30*c = 0.
-10, 0, 1
Find v, given that 2*v**5/3 + 44*v**4/3 - 50*v**3 = 0.
-25, 0, 3
Factor -h**3/8 + 27*h**2/8 + 33*h/4 - 29.
-(h - 29)*(h - 2)*(h + 4)/8
Factor 3*a**2 + 45*a + 78.
3*(a + 2)*(a + 13)
Factor 12*z**4 + 88*z**3 + 445*z**2/3 + 127*z/3 + 10/3.
(z + 2)*(z + 5)*(6*z + 1)**2/3
Determine r so that -3*r**4/8 - 63*r**3/4 - 441*r**2/2 - 1029*r = 0.
-14, 0
Let 2*b**3/17 - 90*b**2/17 + 27000/17 = 0. Calculate b.
-15, 30
Factor -20*k**4 + 5*k**3 + 55*k**2 + 30*k.
-5*k*(k - 2)*(k + 1)*(4*k + 3)
Factor -128*u**5/7 - 160*u**4/7 + 40*u**3/7 + 50*u**2/7 - 20*u/7 + 2/7.
-2*(u + 1)**2*(4*u - 1)**3/7
Factor 4*l**2 - 21024*l + 27625536.
4*(l 