00 = 0. What is g?
-75, -1, -2/3, 2/7
Let 3*s**4 + 600*s**3 + 1782*s**2 + 1776*s + 591 = 0. Calculate s.
-197, -1
Suppose -3*m**2/5 - 156*m/5 + 324/5 = 0. Calculate m.
-54, 2
Suppose -6*w**4/5 + 24*w**3/5 + 252*w**2/5 - 264*w + 210 = 0. What is w?
-7, 1, 5
Suppose -2*s**5 - 12*s**4 + 2*s**3 + 12*s**2 = 0. What is s?
-6, -1, 0, 1
Suppose 2*q**4/9 - 164*q**3/9 + 70*q**2 - 52*q = 0. Calculate q.
0, 1, 3, 78
Factor 4*t**3 + 35832*t**2 + 106994352*t + 106495045024.
4*(t + 2986)**3
Find f such that -f**3/2 + 83*f**2 = 0.
0, 166
Factor z**3/2 + 35*z**2/2 + 63*z/2 - 99/2.
(z - 1)*(z + 3)*(z + 33)/2
Let n**5 - 83*n**4/4 - 6*n**3 + 63*n**2/4 = 0. Calculate n.
-1, 0, 3/4, 21
Solve 3*t**3 + 93*t**2 + 258*t + 168 = 0 for t.
-28, -2, -1
Factor 2*z**2/3 - 316*z/3.
2*z*(z - 158)/3
Factor 2*h**3 + 12*h**2 - 30*h - 200.
2*(h - 4)*(h + 5)**2
Determine v so that -5*v**4 - 2395*v**3 - 280740*v**2 + 1454420*v - 1171280 = 0.
-242, 1, 4
Factor g**5 + 4*g**4 - 5*g**3.
g**3*(g - 1)*(g + 5)
Determine b, given that b**2 + 81*b = 0.
-81, 0
Solve g**5/6 + g**4/6 - g**3/2 - 5*g**2/6 - g/3 = 0 for g.
-1, 0, 2
Suppose 4*i**5/5 + 4*i**4 - 32*i**2 - 64*i - 192/5 = 0. What is i?
-2, 3
Solve -2*q**4 - 176*q**3 - 3870*q**2 + 176*q + 3872 = 0.
-44, -1, 1
What is c in 98*c**5 + 546*c**4 - 1378*c**3 - 2970*c**2 - 1312*c - 168 = 0?
-7, -1, -2/7, 3
Factor -a**4 - 8*a**3 - 21*a**2 - 22*a - 8.
-(a + 1)**2*(a + 2)*(a + 4)
Solve 9*y**2 - 11788*y - 2620 = 0 for y.
-2/9, 1310
Determine n, given that -n**3 - 4*n**2 - 5*n - 2 = 0.
-2, -1
Determine q, given that -123*q**4 - 126*q**3 - 3*q**2 = 0.
-1, -1/41, 0
Factor -3*w**3/2 + 22*w**2 + 63*w/2 + 8.
-(w - 16)*(w + 1)*(3*w + 1)/2
Let 5*q**3 - 170*q**2 + 475*q - 310 = 0. What is q?
1, 2, 31
Factor -i**2/2 + 3*i - 5/2.
-(i - 5)*(i - 1)/2
Factor q**3/5 + 32*q**2/5 - 68*q/5.
q*(q - 2)*(q + 34)/5
What is p in 2*p**3 - 132*p**2 + 838*p - 708 = 0?
1, 6, 59
Determine z, given that -231*z**5/2 - 65*z**4/4 + 16*z**3 + 3*z**2/4 = 0.
-3/7, -1/22, 0, 1/3
Factor 2*u**3 - 58*u**2 - 188*u - 128.
2*(u - 32)*(u + 1)*(u + 2)
Factor -5*x**2 - 6370*x - 2028845.
-5*(x + 637)**2
Solve 76*k**5 - 136*k**4 - 260*k**3 + 560*k**2 - 176*k - 64 = 0 for k.
-2, -4/19, 1, 2
Factor -3*c**4/7 + 111*c**3/7 + 33*c**2 + 117*c/7.
-3*c*(c - 39)*(c + 1)**2/7
Factor -3*s**2 + 138*s + 441.
-3*(s - 49)*(s + 3)
Factor 4*k**4/3 - 1192*k**3/3 + 89984*k**2/3 - 175232*k/3.
4*k*(k - 148)**2*(k - 2)/3
Factor 5*o**4 + 570*o**3 - 1745*o**2 + 1170*o.
5*o*(o - 2)*(o - 1)*(o + 117)
Factor -r**5/2 + 11*r**4/2 + 39*r**3/2 + 41*r**2/2 + 7*r.
-r*(r - 14)*(r + 1)**3/2
Find d such that -2*d**2/3 + 66*d - 196/3 = 0.
1, 98
Find g such that 100*g**3/3 - 620*g**2/3 - 544*g/3 - 112/3 = 0.
-2/5, 7
Suppose 2*t**4 - 1092*t**3 + 146856*t**2 + 601700*t + 453750 = 0. Calculate t.
-3, -1, 275
Factor -5*x**4 + 55*x**3 - 185*x**2 + 225*x - 90.
-5*(x - 6)*(x - 3)*(x - 1)**2
Find r such that -3*r**2/2 - 48*r + 99/2 = 0.
-33, 1
Suppose 2*g**5/9 + 32*g**4/9 + 190*g**3/9 + 496*g**2/9 + 160*g/3 = 0. What is g?
-5, -4, -3, 0
Let 45*a**2 + 485*a + 1000 = 0. What is a?
-8, -25/9
Factor i**3/5 + i**2/5 - 16*i/5 + 4.
(i - 2)**2*(i + 5)/5
Determine c so that 3*c**5/7 - 261*c**4/7 - 1080*c**3/7 - 156*c**2 = 0.
-2, 0, 91
Factor 16*i**3 + 20*i**2 - 524*i + 840.
4*(i - 2)*(i + 7)*(4*i - 15)
Let -5*g**2 + 545*g = 0. Calculate g.
0, 109
Factor 2*b**5/3 + 20*b**4/3 + 32*b**3/3 - 4*b**2/3 - 34*b/3 - 16/3.
2*(b - 1)*(b + 1)**3*(b + 8)/3
Find z, given that -2*z**3/5 - 4*z**2 - 18*z/5 = 0.
-9, -1, 0
Solve -v**2 + 3*v - 2 = 0 for v.
1, 2
Find n such that 3888*n**5 - 15336*n**4 + 18579*n**3 - 6708*n**2 - 417*n - 6 = 0.
-1/36, 1, 2
Let 2*u**4 - 4*u**3 - 14*u**2 + 40*u - 24 = 0. What is u?
-3, 1, 2
Factor -2*h**4 + 46*h**3 + 98*h**2 + 50*h.
-2*h*(h - 25)*(h + 1)**2
Solve -4*n**3/5 + 32*n**2 = 0.
0, 40
What is p in p**5 + 30*p**4 - 3*p**3 - 88*p**2 + 60*p = 0?
-30, -2, 0, 1
Find l such that 2*l**3 + 184*l**2/5 - 314*l/5 + 24 = 0.
-20, 3/5, 1
Factor 2*j**3/3 - 32*j**2/3 + 58*j/3 - 28/3.
2*(j - 14)*(j - 1)**2/3
Suppose -2*q**3/9 - 4*q**2 + 30*q - 48 = 0. Calculate q.
-24, 3
Factor 3*r**4 + 9*r**3 + 6*r**2.
3*r**2*(r + 1)*(r + 2)
Determine b so that -5*b**4 - 2655*b**3 - 353775*b**2 - 351125*b = 0.
-265, -1, 0
Solve -10*m**5 - 75*m**4 - 195*m**3 - 200*m**2 - 60*m = 0 for m.
-3, -2, -1/2, 0
Factor 2*q**2/11 + 80*q/11 + 58.
2*(q + 11)*(q + 29)/11
Determine w, given that -w**3/2 + 5*w**2/2 + 9*w/2 - 45/2 = 0.
-3, 3, 5
Find q such that -5*q**4/4 + 215*q**3/4 - 395*q**2/4 - 615*q/4 = 0.
-1, 0, 3, 41
Factor -4*q**2 - 28*q + 32.
-4*(q - 1)*(q + 8)
Let j**5/3 - 4*j**4/3 + j**3 = 0. What is j?
0, 1, 3
Determine j, given that -4*j**3/7 + 240*j**2/7 - 576*j + 1792 = 0.
4, 28
Let 2*b**3/7 - 25*b**2/7 - 13*b/7 = 0. What is b?
-1/2, 0, 13
Solve 216*m**4 - 714*m**3 + 153*m**2 + 147*m - 36 = 0 for m.
-4/9, 1/4, 1/2, 3
Determine n so that 3*n**5 - 50*n**4 - 139*n**3 + 102*n**2 + 236*n - 152 = 0.
-2, 2/3, 1, 19
Factor 8*w**3/17 - 1310*w**2/17 + 53464*w/17 + 13448/17.
2*(w - 82)**2*(4*w + 1)/17
Factor 5*u**4 - 100*u**3 + 260*u**2 + 2400*u + 2880.
5*(u - 12)**2*(u + 2)**2
Find o, given that 76*o**3 - o**2 - 76*o + 1 = 0.
-1, 1/76, 1
Suppose 5*d**2 - 280*d = 0. What is d?
0, 56
Factor 2*f**2 + 684*f + 58482.
2*(f + 171)**2
Determine q so that 5*q**2 - 1540*q = 0.
0, 308
Factor -4*x**4 + 196*x**3 + 832*x**2 + 848*x.
-4*x*(x - 53)*(x + 2)**2
Solve 4*x**4 - 8*x**3 + 4*x**2 = 0 for x.
0, 1
Factor 5*j**5 - 15*j**4 - 80*j**3 - 60*j**2.
5*j**2*(j - 6)*(j + 1)*(j + 2)
Determine a, given that -2*a**3/11 - 12*a**2/11 - 6*a/11 + 20/11 = 0.
-5, -2, 1
What is n in -n**3/4 + 158*n**2 - 2515*n/4 + 471 = 0?
1, 3, 628
Determine w, given that -2*w**5 - 14*w**4 + 22*w**3 + 38*w**2 - 76*w + 32 = 0.
-8, -2, 1
Factor -u**2/6 + 2*u/3.
-u*(u - 4)/6
Factor 4*t**2 + 132*t + 360.
4*(t + 3)*(t + 30)
Factor -r**5/7 - 312*r**4/7 - 32448*r**3/7 - 1124864*r**2/7.
-r**2*(r + 104)**3/7
Let 3*b**3/2 - 57*b**2/2 - 423*b/2 - 675/2 = 0. What is b?
-3, 25
Suppose 3*j**2 - 192*j + 2709 = 0. Calculate j.
21, 43
Factor 2*l**2/11 + 4*l - 96/11.
2*(l - 2)*(l + 24)/11
Factor -66*j**5 - 123*j**4 - 48*j**3 + 9*j**2.
-3*j**2*(j + 1)**2*(22*j - 3)
Factor -14*c**3 - 116*c**2 + 248*c + 80.
-2*(c - 2)*(c + 10)*(7*c + 2)
Solve -2*j**4 + 8*j**3 - 6*j**2 - 8*j + 8 = 0 for j.
-1, 1, 2
Factor i**2/5 + 53*i/5 + 52/5.
(i + 1)*(i + 52)/5
Factor 13*q**3/8 + 63*q**2/8 - 5*q/4.
q*(q + 5)*(13*q - 2)/8
Factor 4*x**3 + 208*x**2 + 3572*x + 20216.
4*(x + 14)*(x + 19)**2
What is t in -5*t**4 + 50*t**3 = 0?
0, 10
Find w such that 98*w**3/9 - 98*w**2/9 - 8*w/9 + 8/9 = 0.
-2/7, 2/7, 1
Factor -g**2/3 + 4*g/3 - 4/3.
-(g - 2)**2/3
Factor 3*z**5/7 + 51*z**4/7 + 129*z**3/7 - 723*z**2/7 + 120*z - 300/7.
3*(z - 1)**3*(z + 10)**2/7
Determine c so that -c**5/5 - 3*c**4/5 + 21*c**3/5 + 47*c**2/5 - 24*c - 144/5 = 0.
-4, -1, 3
Factor -2*l**4 + 4*l**3 + 40*l**2 - 132*l + 90.
-2*(l - 3)**2*(l - 1)*(l + 5)
Factor -3*k**2/2 + 60*k - 600.
-3*(k - 20)**2/2
Factor -2*x**5 - 2*x**4 + 276*x**3 - 1836*x**2 + 4590*x - 4050.
-2*(x - 5)*(x - 3)**3*(x + 15)
Solve -22*x**3/3 + 2*x**2/3 + 88*x/3 - 8/3 = 0.
-2, 1/11, 2
Factor p**5/4 + 3*p**4/2 - 4*p**3 + p**2/2 + 15*p/4 - 2.
(p - 1)**3*(p + 1)*(p + 8)/4
Factor -2*x**3/7 - 40*x**2/7 - 72*x/7.
-2*x*(x + 2)*(x + 18)/7
Let -c**4 + 64*c**3 + 198*c**2 + 200*c + 67 = 0. Calculate c.
-1, 67
Factor 2*k**4 - 18*k**2.
2*k**2*(k - 3)*(k + 3)
Factor -35*w**2/8 - w/2 + 1/2.
-(5*w + 2)*(7*w - 2)/8
Find f, given that -237*f**5/8 + 515*f**4/4 + 33*f**3/4 - 326*f**2 - 1389*f/8 + 9/4 = 0.
-1, -2/3, 1/79, 3
Find h such that h**5/2 + 15*h**4/4 + 15*h**3/2 - 5*h**2/4 - 21*h/2 = 0.
-7/2, -3, -2, 0, 1
Determine u so that 4*u**4 + 76*u**3 + 332*u**2 - 76*u - 336 = 0.
-12, -7, -1, 1
Determine n, given that n**3/2 + 231*n**2 - 930*n + 932 = 0.
-466, 2
Find u such that u**3/5 + 8*u**2 - 172*u/5 + 176/5 = 0.
-44, 2
Let -t**2/7 - 19*t/7 - 12 = 0. Calculate t.
-12, -7
Let -5*v**2 + 420*v - 415 = 0. Calculate v.
1, 83
Suppose 4*k**4/7 + 4*k**3/7 - 12*k**2/7 - 4*k/7 + 8/7 = 0. Calculate k.
-2, -1, 1
Determine y, given that 3*y**2 - 33*y + 30 = 0.
1, 10
Factor -3*x**5/4 + 39*x**4/2 - 147*x**3/4 + 18*x**2.
-3*x**2*(x - 24)*(x - 1)**2/4
Solve h**2/4 + 150*h + 599/4 = 0.
-599, -1
Let 2*y**4/3 - 4*y**3/3 - 14*y**2/3 - 8*y/3 = 0. Calculate y.
-1, 0, 4
D