*2*(c + 58)
Suppose -3*f**5/2 - 93*f**4/2 - 309*f**3/2 + 6621*f**2/2 - 5244*f - 8664 = 0. Calculate f.
-19, -1, 4
Factor -s**2/6 + 25*s/2 + 158/3.
-(s - 79)*(s + 4)/6
Find y, given that -5*y**3 + 380*y**2 - 4020*y + 11520 = 0.
6, 64
Determine m, given that -4*m**5/5 + 34*m**4/5 - 42*m**3/5 - 26*m**2 - 10*m = 0.
-1, -1/2, 0, 5
Factor -5*x**3 - 55*x**2 + 280*x - 300.
-5*(x - 2)**2*(x + 15)
Factor 3*b**2/5 - 3*b + 18/5.
3*(b - 3)*(b - 2)/5
Suppose -841*m**5/6 - 290*m**4 + 362*m**3/3 + 869*m**2/3 + 39*m/2 + 1/3 = 0. What is m?
-2, -1, -1/29, 1
Find u, given that u**2/7 - 138*u/7 + 4761/7 = 0.
69
Factor 2*v**5/5 + 18*v**4 + 224*v**3 + 1216*v**2 + 3072*v + 14848/5.
2*(v + 4)**4*(v + 29)/5
Let m**5 + m**4 - 5*m**3 - 5*m**2 + 4*m + 4 = 0. Calculate m.
-2, -1, 1, 2
Solve 4*p**2/7 + 352*p/7 + 348/7 = 0 for p.
-87, -1
Factor -2*v**5 - 562*v**4 + 1704*v**3.
-2*v**3*(v - 3)*(v + 284)
Let 2*r**3/9 - 16*r**2/9 - 130*r/9 = 0. Calculate r.
-5, 0, 13
Let -g**5/6 + 2*g**4/3 + 9*g**3/2 + 19*g**2/3 + 8*g/3 = 0. Calculate g.
-2, -1, 0, 8
Factor -14*n**3 + 60*n**2 - 16*n.
-2*n*(n - 4)*(7*n - 2)
Factor n**4/2 + 3*n**3 - 8*n**2 - 75*n - 225/2.
(n - 5)*(n + 3)**2*(n + 5)/2
Suppose 2*q**5/9 + 170*q**4/9 + 1052*q**3/3 - 2188*q**2 + 1530*q + 4050 = 0. Calculate q.
-45, -1, 3
Factor -r**3/7 + 4*r**2/7 + 3*r.
-r*(r - 7)*(r + 3)/7
Factor -2*g**5/3 - 506*g**4 - 95760*g**3 + 288800*g**2/3.
-2*g**2*(g - 1)*(g + 380)**2/3
Find v, given that 2*v**4 + 10*v**3 + 14*v**2 + 6*v = 0.
-3, -1, 0
Factor -4*z**2/5 - 4776*z/5 - 1425636/5.
-4*(z + 597)**2/5
Let 2*n**3/15 + 8*n**2/15 + 2*n/3 + 4/15 = 0. What is n?
-2, -1
What is h in 4*h**5 + 8*h**4 - 12*h**3 - 16*h**2 + 16*h = 0?
-2, 0, 1
Factor 5*h**3 - 60*h**2 + 105*h + 490.
5*(h - 7)**2*(h + 2)
Factor 2*s**2 - 6*s - 20.
2*(s - 5)*(s + 2)
Factor -9*t**3/5 + 537*t**2 - 5343*t/5 + 2667/5.
-3*(t - 1)**2*(3*t - 889)/5
Factor -2*o**3/3 - 20*o**2 - 454*o/3 - 132.
-2*(o + 1)*(o + 11)*(o + 18)/3
Factor 2*r**5/3 + 16*r**4/3 + 50*r**3/3 + 76*r**2/3 + 56*r/3 + 16/3.
2*(r + 1)**2*(r + 2)**3/3
Determine q, given that -q**2/5 + 503*q/5 - 502/5 = 0.
1, 502
What is b in -3*b**3 - 1152*b**2 - 147456*b - 6291456 = 0?
-128
Factor 3*g**3 - 9*g**2 - 12*g + 36.
3*(g - 3)*(g - 2)*(g + 2)
Factor -r**3 - 329*r**2.
-r**2*(r + 329)
Find r, given that -4*r**4 + 14620*r**3 - 17831484*r**2 + 7281033524*r - 28839765008 = 0.
4, 1217
Suppose -22*o**2 - 32*o + 24 = 0. What is o?
-2, 6/11
Factor 2*q**4/5 + 1996*q**3/5 - 3998*q**2/5 + 400*q.
2*q*(q - 1)**2*(q + 1000)/5
Find o such that 4*o**3 + 20*o**2 + 32*o + 16 = 0.
-2, -1
Factor -22707*x**2 - 4524*x - 676/3.
-(261*x + 26)**2/3
Factor -i**2 + 30*i + 31.
-(i - 31)*(i + 1)
Factor 2*n**2/5 - 26*n + 252/5.
2*(n - 63)*(n - 2)/5
Find p, given that 2*p**2 + 40*p - 42 = 0.
-21, 1
Factor 5*l**2 + 145*l.
5*l*(l + 29)
Factor -b**3/7 + 41*b**2/7 - 38*b/7 - 80/7.
-(b - 40)*(b - 2)*(b + 1)/7
Solve -2*a**3 + 10*a**2 - 4*a - 16 = 0.
-1, 2, 4
Factor 2*l**4 - 20*l**3 - 8*l**2 + 80*l.
2*l*(l - 10)*(l - 2)*(l + 2)
Factor 2*b**3/19 - 11706*b**2/19 + 22838406*b/19 - 14852576702/19.
2*(b - 1951)**3/19
Factor -2*m**3/7 - 118*m**2/7 - 1798*m/7 - 1682/7.
-2*(m + 1)*(m + 29)**2/7
Factor -8*p**2/7 + 426*p/7 - 106/7.
-2*(p - 53)*(4*p - 1)/7
Find x such that x**2/4 + 35*x + 1225 = 0.
-70
Determine a, given that a**5 + 1384*a**4 + 1382*a**3 - 1384*a**2 - 1383*a = 0.
-1383, -1, 0, 1
Factor -c**4/5 - 69*c**3/5 - 198*c**2/5 + 4*c/5 + 264/5.
-(c - 1)*(c + 2)**2*(c + 66)/5
Determine v, given that 4*v**4 - 24*v**3 - 12*v**2 + 64*v + 48 = 0.
-1, 2, 6
Find h such that 26*h**5 + 759*h**4/2 + 3587*h**3/2 + 4955*h**2/2 - 2475*h/2 + 125 = 0.
-5, 2/13, 1/4
Factor -3*l**2 - 171*l - 1050.
-3*(l + 7)*(l + 50)
What is q in -2*q**5 + 96*q**4 - 1050*q**3 - 2500*q**2 = 0?
-2, 0, 25
What is y in 2*y**3 + 332*y**2 + 14104*y + 26896 = 0?
-82, -2
Factor 768*a**4/5 - 768*a**3 + 1440*a**2 - 1200*a + 375.
3*(4*a - 5)**4/5
Solve -5*w**2/4 + 375*w/2 - 745/4 = 0.
1, 149
Let 5*i**2 + 30*i + 45 = 0. What is i?
-3
Let 2*q**3 + 294*q**2 + 864*q = 0. What is q?
-144, -3, 0
Factor 3*k**4 + 56*k**3 + 135*k**2 + 114*k + 32.
(k + 1)**2*(k + 16)*(3*k + 2)
Determine b, given that 2*b**3/3 - 103*b**2/6 - 125*b/3 - 28/3 = 0.
-2, -1/4, 28
Factor l**4/5 - 57*l**3/5 - 38*l**2 + 120*l.
l*(l - 60)*(l - 2)*(l + 5)/5
Factor 48*u**3 - 408*u**2 + 531*u - 189.
3*(u - 7)*(4*u - 3)**2
Factor -35*o**3 + 935*o**2 + 1250*o + 280.
-5*(o - 28)*(o + 1)*(7*o + 2)
Factor -b**4 - 527*b**3 - 1575*b**2 - 1573*b - 524.
-(b + 1)**3*(b + 524)
Suppose -4*m**4 - 28*m**3 - 40*m**2 = 0. What is m?
-5, -2, 0
Let 3*a**3 + 414*a**2/7 + 1896*a/7 - 576/7 = 0. Calculate a.
-12, -8, 2/7
Factor -3*i**4 + 174*i**3 - 171*i**2.
-3*i**2*(i - 57)*(i - 1)
Determine i so that 2*i**3/7 - 72*i**2/7 + 670*i/7 - 1656/7 = 0.
4, 9, 23
Find d, given that d**5 - 7*d**4 + 10*d**3 + 20*d**2 - 56*d + 32 = 0.
-2, 1, 2, 4
Factor 16*i**4/7 - 13288*i**3/7 + 6641*i**2/7 - 830*i/7.
i*(i - 830)*(4*i - 1)**2/7
What is q in 20*q**3 - 76*q**2 + 88*q - 32 = 0?
4/5, 1, 2
Factor -2*d**2/7 + 296*d/7 - 10952/7.
-2*(d - 74)**2/7
Factor -2*k**3 + 708*k**2 - 83544*k + 3286064.
-2*(k - 118)**3
Find n such that -n**5/2 - 5*n**4/2 - 2*n**3 + 8*n**2 + 16*n + 8 = 0.
-2, -1, 2
Find u such that -2*u**3/7 + 80*u**2/7 - 544*u/7 + 1024/7 = 0.
4, 32
Factor w**5/4 + w**4/2 - w**2/2 - w/4.
w*(w - 1)*(w + 1)**3/4
Factor -a**2 - 2*a + 3.
-(a - 1)*(a + 3)
Suppose 3*w**4 - 204*w**3 - 210*w**2 + 204*w + 207 = 0. What is w?
-1, 1, 69
Factor 75*t**4 - 14280*t**3 + 682578*t**2 - 271320*t + 27075.
3*(t - 95)**2*(5*t - 1)**2
Factor -5*u**3 - 55*u**2 - 35*u + 735.
-5*(u - 3)*(u + 7)**2
Factor -2*f**3/3 + 8*f**2/3.
-2*f**2*(f - 4)/3
Suppose y**4/3 - 14*y**3/3 - 16*y**2 - 50*y/3 - 17/3 = 0. What is y?
-1, 17
Solve 2*q**3/13 - 106*q**2/13 - 112*q/13 + 216/13 = 0 for q.
-2, 1, 54
Find h, given that h**4/2 + 9*h**3/4 - 33*h**2/4 + 7*h/2 = 0.
-7, 0, 1/2, 2
Factor -3*m**2 - 61*m - 20.
-(m + 20)*(3*m + 1)
Suppose d**5/4 + 24*d**4 - 49*d**3 + d**2/2 + 195*d/4 - 49/2 = 0. What is d?
-98, -1, 1
Suppose 16*j**5 + 192*j**4 + 84*j**3 - 2788*j**2 + 4800*j - 2304 = 0. What is j?
-8, 1, 3/2
Find l such that l**2 - 2163*l - 2164 = 0.
-1, 2164
Factor 10*m**2/9 + 8*m/9 - 2/9.
2*(m + 1)*(5*m - 1)/9
Let -m**3 - 2*m**2 - m = 0. Calculate m.
-1, 0
Factor -2*j**2 + 20*j + 112.
-2*(j - 14)*(j + 4)
Determine x, given that -x**2/5 + 194*x/5 = 0.
0, 194
Let -t**4/6 + 13*t**3/2 - 37*t**2/6 - 13*t/2 + 19/3 = 0. What is t?
-1, 1, 38
Factor -8*i**5 + 40*i**4 - 34*i**3 + 8*i**2.
-2*i**2*(i - 4)*(2*i - 1)**2
Determine u so that -4*u**5 - 82*u**4/3 - 206*u**3/3 - 224*u**2/3 - 88*u/3 = 0.
-2, -11/6, -1, 0
Solve -2*b**2/13 + 1544*b/13 - 297992/13 = 0.
386
Find d such that -2*d**2/3 + 274*d/3 + 2320/3 = 0.
-8, 145
Factor -2*n**2/3 + 182*n + 552.
-2*(n - 276)*(n + 3)/3
Factor 2*i**4/7 + 380*i**3/7 + 18426*i**2/7 + 35720*i/7 + 17672/7.
2*(i + 1)**2*(i + 94)**2/7
Factor -k**3 + 34*k**2 - 329*k + 980.
-(k - 20)*(k - 7)**2
Factor -3*j**3 - 252*j**2 + 516*j.
-3*j*(j - 2)*(j + 86)
Let 284*v**5/9 + 92*v**4/3 - 292*v**3/9 - 92*v**2/3 + 8*v/9 = 0. What is v?
-1, 0, 2/71, 1
Factor -3*q**4 + 51*q**3.
-3*q**3*(q - 17)
Find t, given that -27*t**4 + 6*t**3 + 108*t**2 - 24*t = 0.
-2, 0, 2/9, 2
Factor -3*t**2/2 - 3*t + 9/2.
-3*(t - 1)*(t + 3)/2
Suppose 5*x**2 - 265*x - 550 = 0. Calculate x.
-2, 55
Factor -8*g**2/7 + 54*g/7.
-2*g*(4*g - 27)/7
Factor 2*d**3/3 - 176*d**2/3 - 2*d/3 + 176/3.
2*(d - 88)*(d - 1)*(d + 1)/3
Let -4*n**4 + 52*n**3 - 192*n**2 + 272*n - 128 = 0. What is n?
1, 2, 8
Find q such that -2*q**2 + 10*q - 12 = 0.
2, 3
Factor -4*f**4 + 2556*f**3 + 15432*f**2 + 30928*f + 20640.
-4*(f - 645)*(f + 2)**3
Factor -2*n**2/21 + 10*n/3 + 24/7.
-2*(n - 36)*(n + 1)/21
What is s in 2*s**2 + 316*s - 318 = 0?
-159, 1
Factor 3*d**2/5 - 69*d/5.
3*d*(d - 23)/5
Find c such that -4*c**5 - 4*c**4 + 12*c**3 + 20*c**2 + 8*c = 0.
-1, 0, 2
What is t in 4*t**4 - 44*t**3 - 100*t**2 - 52*t = 0?
-1, 0, 13
Factor -3*y**4/8 + 3*y**3/4 + 3*y**2/8 - 3*y/4.
-3*y*(y - 2)*(y - 1)*(y + 1)/8
Find x such that 3*x**5/2 - 207*x**4/2 + 195*x**3/2 + 627*x**2/2 - 513*x + 204 = 0.
-2, 1, 68
Suppose -c**4/5 + 302*c**3/5 - 22497*c**2/5 - 45904*c/5 - 23104/5 = 0. What is c?
-1, 152
Find r such that 3*r**4/5 + 48*r**3/5 + 174*r**2/5 + 72*r/5 - 297/5 = 0.
-11, -3, 1
Factor w*