 120 = 0.
-6, -1, -2/3, -2/5, 1
Suppose -f**3 - 3*f**2 + 45*f + 175 = 0. Calculate f.
-5, 7
Suppose 2*z**2/5 - 256*z/5 - 258/5 = 0. Calculate z.
-1, 129
Determine n, given that 9*n**5/4 - 15*n**4/2 - 23*n**3/4 - n**2 = 0.
-1/3, 0, 4
Determine n so that 2*n**2/7 + 76*n/7 + 722/7 = 0.
-19
Determine j, given that j**3/2 + 7*j**2/2 - j/2 - 7/2 = 0.
-7, -1, 1
Find y, given that y**2/3 + 14*y - 45 = 0.
-45, 3
Factor -3*y**5/5 - 36*y**4/5 - 27*y**3 - 162*y**2/5.
-3*y**2*(y + 3)**2*(y + 6)/5
Let 52*k**4 + 996*k**3 + 984*k**2 - 1744*k - 288 = 0. Calculate k.
-18, -2, -2/13, 1
Factor -2*j**4/13 - 150*j**3/13 - 3264*j**2/13 - 16184*j/13.
-2*j*(j + 7)*(j + 34)**2/13
Factor 2*k**2 - 4*k - 6.
2*(k - 3)*(k + 1)
Find q such that -2*q**3 + 162*q**2 + 1034*q + 870 = 0.
-5, -1, 87
Factor 2*y**3/13 - 8*y**2/13 + 2*y/13 + 12/13.
2*(y - 3)*(y - 2)*(y + 1)/13
Let -3*t**4/2 - 29*t**3/2 - 17*t**2/2 + 9*t/2 = 0. What is t?
-9, -1, 0, 1/3
Factor 56*k**2/5 - 1012*k/5 + 72/5.
4*(k - 18)*(14*k - 1)/5
Find w such that -2*w**2/9 - 148*w/9 - 32 = 0.
-72, -2
What is w in 3*w**5/4 - 6*w**4 + 33*w**3/2 - 18*w**2 + 27*w/4 = 0?
0, 1, 3
Factor -5*d**2/2 - 1545*d/2 + 775.
-5*(d - 1)*(d + 310)/2
Factor -182*x**2 + 20*x.
-2*x*(91*x - 10)
Find q such that 3*q**3/8 + 57*q**2/8 + 42*q + 72 = 0.
-8, -3
Factor z**4 - 11*z**3 - 40*z**2 - 28*z.
z*(z - 14)*(z + 1)*(z + 2)
Factor b**3/4 - 195*b**2/4 + 9603*b/4 - 9409/4.
(b - 97)**2*(b - 1)/4
Determine d, given that -68*d**4 - 240*d**3 + 192*d**2 + 1472*d + 1344 = 0.
-2, 42/17
Factor -u**4/2 + u**3 + 11*u**2/8 + 3*u/8.
-u*(u - 3)*(2*u + 1)**2/8
What is s in -4*s**2 - 572*s - 3288 = 0?
-137, -6
Factor -6*q**2/11 + 2028*q/11 - 171366/11.
-6*(q - 169)**2/11
Solve -2*r**2 + 118*r = 0 for r.
0, 59
Factor -2*w**2 + 104*w + 216.
-2*(w - 54)*(w + 2)
Factor -3*h**3 + 120*h**2 - 1011*h + 1566.
-3*(h - 29)*(h - 9)*(h - 2)
What is b in b**4/7 - 3*b**3/7 - 185*b**2/7 - 51*b - 176/7 = 0?
-11, -1, 16
Determine m, given that -2*m**3 - 490*m**2 + 492*m = 0.
-246, 0, 1
Let 20*f**4/13 - 534*f**3/13 + 246*f**2 + 4928*f/13 + 1176/13 = 0. Calculate f.
-1, -3/10, 14
Solve -2*x**2/5 - 9052*x/5 - 10242338/5 = 0 for x.
-2263
Suppose -2*h**3/23 + 14*h**2/23 - 32*h/23 + 24/23 = 0. Calculate h.
2, 3
Factor g**3 - 99*g**2 + 191*g + 291.
(g - 97)*(g - 3)*(g + 1)
Find u such that -12*u**4 + 63*u**3 + 153*u**2 - 42*u = 0.
-2, 0, 1/4, 7
Solve g**5 + 78*g**4 + 1801*g**3 + 10920*g**2 + 19600*g = 0 for g.
-35, -4, 0
Suppose -n**5/5 + 8*n**4/5 - 16*n**3/5 + 2*n**2/5 + 17*n/5 - 2 = 0. Calculate n.
-1, 1, 2, 5
What is q in -3*q**5/5 + 3*q**4/5 + 6*q**3/5 - 6*q**2/5 - 3*q/5 + 3/5 = 0?
-1, 1
What is i in 94*i**2/9 - 98*i/9 + 4/9 = 0?
2/47, 1
Determine n, given that 8*n**2 + 1812*n - 908 = 0.
-227, 1/2
Find p, given that -p**3 + 1233*p**2 - 506763*p + 69426531 = 0.
411
Factor 2*z**5/7 + 34*z**4/7 + 90*z**3/7 + 86*z**2/7 + 4*z.
2*z*(z + 1)**3*(z + 14)/7
Suppose -g**2 - 15*g - 26 = 0. What is g?
-13, -2
What is z in -z**3/3 - 53*z**2/3 - 775*z/3 - 625 = 0?
-25, -3
Factor v**4/4 + 12*v**3 + 144*v**2.
v**2*(v + 24)**2/4
Factor -h**2/4 - 7983*h/2 - 63728289/4.
-(h + 7983)**2/4
Factor 5558*m**2/15 - 3704*m/5 - 8/15.
2*(m - 2)*(2779*m + 2)/15
Determine u, given that 2*u**4/3 + 4*u**3/9 - 302*u**2/9 + 388*u/9 - 32/3 = 0.
-8, 1/3, 1, 6
Find r, given that -3*r**4/7 - 15*r**3/7 = 0.
-5, 0
Suppose -a**2/3 - 28*a/3 + 68 = 0. Calculate a.
-34, 6
Determine k so that 8*k**4/3 - 198*k**3 + 244*k**2 - 146*k/3 = 0.
0, 1/4, 1, 73
Determine d so that -d**3/6 - 11*d**2/3 - 19*d/2 = 0.
-19, -3, 0
Find f such that -3*f**5 + 42*f**4 + 690*f**3 - 13332*f**2 + 38841*f + 135762 = 0.
-17, -2, 11
Suppose 3*u**3 + 54*u**2 - 117*u + 60 = 0. What is u?
-20, 1
Find c such that -5*c**3 - 5*c**2 + 5*c + 5 = 0.
-1, 1
Factor 2*v**2/9 - 232*v/3 + 6728.
2*(v - 174)**2/9
What is b in -4*b**4/3 + 20*b**3/3 + 288*b**2 - 7280*b/3 + 6400/3 = 0?
-16, 1, 10
Let 3*y**4/2 + 1213*y**3/8 + 2489*y**2/8 + 1387*y/8 + 99/8 = 0. Calculate y.
-99, -1, -1/12
Factor -373*o**2 - 372*o + 1.
-(o + 1)*(373*o - 1)
Factor 4*r**2 - 48*r.
4*r*(r - 12)
Factor 2*x**3 + 8*x**2 - 8*x - 32.
2*(x - 2)*(x + 2)*(x + 4)
Solve -i**4/8 + 125*i**3/8 - 917*i**2/8 - 2213*i/8 - 585/4 = 0 for i.
-1, 10, 117
Solve -3*o**4/5 - 3*o**3 + 18*o**2/5 + 96*o/5 - 96/5 = 0.
-4, 1, 2
What is l in -3*l**3/7 + 474*l**2/7 + 3447*l/7 + 2970/7 = 0?
-6, -1, 165
Factor 2*f**4/7 - 46*f**3/7.
2*f**3*(f - 23)/7
Factor -2*s**3 + 468*s**2 - 36504*s + 949104.
-2*(s - 78)**3
Determine c so that -c**4/4 + c**3 - c**2 = 0.
0, 2
Let a**3 + 9*a**2 - 216*a + 756 = 0. What is a?
-21, 6
Let 3*j**3 + 87*j**2 + 240*j + 156 = 0. What is j?
-26, -2, -1
Determine l so that l**3/7 + 291*l**2/7 = 0.
-291, 0
Find m such that -2*m**5 + 30*m**4 + 756*m**3 + 4104*m**2 + 6480*m = 0.
-6, -3, 0, 30
Suppose 2*z**3/15 - 18*z**2 + 688*z/5 - 4064/15 = 0. What is z?
4, 127
Factor -28*n**3 - 596*n**2 + 6328*n + 1856.
-4*(n - 8)*(n + 29)*(7*n + 2)
Solve 3*o**5 + 24*o**4 + 60*o**3 + 30*o**2 - 63*o - 54 = 0.
-3, -2, -1, 1
Suppose 24*b**5 - 372*b**4 + 834*b**3 - 723*b**2 + 276*b - 39 = 0. Calculate b.
1/2, 1, 13
What is l in 2*l**5/9 - 4*l**4/9 - 26*l**3/9 - 20*l**2/9 = 0?
-2, -1, 0, 5
Factor v**2/5 - 18*v - 95.
(v - 95)*(v + 5)/5
Let -15*x**2/2 - 223*x/10 + 3/5 = 0. Calculate x.
-3, 2/75
Determine j so that -2*j**3 + 16*j**2 = 0.
0, 8
Factor 2*o**3/3 + 14*o**2/9 - 224*o/9 - 152/3.
2*(o - 6)*(o + 2)*(3*o + 19)/9
Solve 5*o**3 - 45*o**2 + 75*o - 35 = 0.
1, 7
What is d in 5*d**3 + 305*d**2 = 0?
-61, 0
Find g, given that -2*g**3/7 - 34*g**2/7 - 18*g + 162/7 = 0.
-9, 1
Factor 2*l**2/9 + 62*l/9 + 368/9.
2*(l + 8)*(l + 23)/9
Suppose f**5 + 118*f**4 - 239*f**3 + 120*f**2 = 0. What is f?
-120, 0, 1
What is v in 2*v**3/13 - 18*v**2/13 - 128*v/13 + 24 = 0?
-6, 2, 13
Determine h, given that -h**4/4 + 13*h**3/4 + 219*h**2/4 - 473*h/4 + 121/2 = 0.
-11, 1, 22
Solve 20*h**5 + 688*h**4 + 892*h**3 - 1072*h**2 - 528*h = 0 for h.
-33, -2, -2/5, 0, 1
Determine b so that -5*b**3 + 50*b**2 - 125*b = 0.
0, 5
What is n in -n**5/3 - 10*n**4 - 29*n**3/3 = 0?
-29, -1, 0
Factor 2*i**4 - 9*i**3/2 + i**2/2 + 9*i/2 - 5/2.
(i - 1)**2*(i + 1)*(4*i - 5)/2
Determine r so that 2*r**2/23 + 32*r/23 + 126/23 = 0.
-9, -7
Factor 5*c**3 + 565*c**2 + 16240*c + 15680.
5*(c + 1)*(c + 56)**2
Suppose 5*u**3 - 215*u**2 = 0. What is u?
0, 43
Factor m**2/5 - 1719*m/5.
m*(m - 1719)/5
Let 33*h**5/2 + 105*h**4/2 + 51*h**3/2 - 93*h**2/2 - 42*h - 6 = 0. What is h?
-2, -1, -2/11, 1
Factor -s**4/3 - 22*s**3/3 - 35*s**2.
-s**2*(s + 7)*(s + 15)/3
What is l in -l**3/2 - 5*l**2/2 + 2*l + 10 = 0?
-5, -2, 2
Let 3*v**2 + 204*v + 396 = 0. What is v?
-66, -2
Factor -32*v**2 + 700*v + 88.
-4*(v - 22)*(8*v + 1)
Factor 14*m**4 + 10*m**3 - 32*m**2 + 8*m.
2*m*(m - 1)*(m + 2)*(7*m - 2)
Factor 5*n**2 + 575*n + 3780.
5*(n + 7)*(n + 108)
Factor -2*c**2/9 + 1096*c/9 - 150152/9.
-2*(c - 274)**2/9
Determine r so that -4*r**3 + 8*r**2 + 36*r - 72 = 0.
-3, 2, 3
What is g in -2*g**4 + 10*g**3 - 4*g**2 - 16*g = 0?
-1, 0, 2, 4
Let -2*y**3/3 + 122*y**2/9 - 346*y/9 + 34/3 = 0. Calculate y.
1/3, 3, 17
Determine d so that d**2/2 + 159*d - 644 = 0.
-322, 4
Factor d**4 - 33*d**3 + 31*d**2 + 33*d - 32.
(d - 32)*(d - 1)**2*(d + 1)
Find s such that 5*s**2 - 95*s - 1080 = 0.
-8, 27
Factor 5*w**4/2 - 385*w**3 + 33245*w**2/2 - 138600*w + 324000.
5*(w - 72)**2*(w - 5)**2/2
Find s, given that -10*s**5 + 56*s**4 + 264*s**3 + 356*s**2 + 194*s + 36 = 0.
-1, -2/5, 9
Solve 2*q**4/17 - 144*q**3/17 - 1404*q**2/17 - 4320*q/17 - 4374/17 = 0.
-3, 81
Let 3*u**3 + 9*u**2 - 75*u + 63 = 0. What is u?
-7, 1, 3
Factor -3*y**2 + 78*y.
-3*y*(y - 26)
Factor -3*j**3 - 636*j**2 - 33063*j + 68694.
-3*(j - 2)*(j + 107)**2
Factor 3*l**2/8 + 3*l/2 + 9/8.
3*(l + 1)*(l + 3)/8
Suppose -5*f**3 + 140*f**2 - 265*f + 130 = 0. What is f?
1, 26
Solve -3*n**2 + 270*n + 1425 = 0.
-5, 95
Factor -3*s**4/2 - 9*s**3/2 + 6*s.
-3*s*(s - 1)*(s + 2)**2/2
Factor -m**4/2 - 158*m**3 - 12482*m**2.
-m**2*(m + 158)**2/2
Determine c so that c**4/3 - 13*c**2/3 + 4*c = 0.
-4, 0, 1, 3
Factor -4*v**4 + 1928*v**3 - 236148*v**2 + 921584*v - 913936.
-4*(v - 239)**2*(v - 2)**2
Determine s so that 3*s**3/4 - 51*s**2/2 + 240*s - 384 = 0.
2, 16
Factor m**3/5 + 414*m**2/5 + 8733*m + 33620.
(m + 4)*(m + 205)**2/5
What is o in -3*o**2 - 129*o + 2394 = 0?
-57, 14
Find h, given t