393*p/4 + 195/2 = 0. Calculate p.
-130, -1
Find t such that -2*t**2 + 680*t - 57800 = 0.
170
Factor -4*c**2 - 1736*c - 188356.
-4*(c + 217)**2
Suppose 4*r**4/11 - 218*r**3/11 + 318*r**2/11 + 2*r/11 - 106/11 = 0. Calculate r.
-1/2, 1, 53
Factor -5*w**4 - 810*w**3 - 42900*w**2 - 695750*w + 2495625.
-5*(w - 3)*(w + 55)**3
Solve -j**5 - 2*j**4 + j**3 + 2*j**2 = 0 for j.
-2, -1, 0, 1
Factor -3*y**2/2 + 57*y/2 - 51.
-3*(y - 17)*(y - 2)/2
Factor -4*d**4 - 52*d**3 - 172*d**2 - 60*d + 288.
-4*(d - 1)*(d + 3)**2*(d + 8)
Suppose -7*u**5/2 - 61*u**4/6 - 5*u**3/2 + 65*u**2/6 + 6*u - 2/3 = 0. What is u?
-2, -1, 2/21, 1
Factor 2*m**2/5 + 572*m/5 - 1152/5.
2*(m - 2)*(m + 288)/5
What is j in j**3 + 71*j**2 - 146*j = 0?
-73, 0, 2
Suppose -2*t**2/3 - 1082*t/3 + 1084/3 = 0. What is t?
-542, 1
Factor 2*y**3 + 852*y**2 - 3432*y + 3440.
2*(y - 2)**2*(y + 430)
Factor 40*c**2 - 375*c + 135.
5*(c - 9)*(8*c - 3)
Find i such that -i**3/6 - 3*i**2/2 - 7*i/3 = 0.
-7, -2, 0
Suppose -3*g**4/4 - 366*g**3 - 88563*g**2/2 + 91140*g + 540225/4 = 0. What is g?
-245, -1, 3
Determine o, given that 2*o**3/11 + 72*o**2/11 + 810*o/11 + 2916/11 = 0.
-18, -9
Let 2*s**3 + 4*s**2 + 2*s = 0. Calculate s.
-1, 0
Solve -15*j**4 + 24*j**3 + 237*j**2 - 450*j - 216 = 0.
-4, -2/5, 3
Suppose 100*b**5 + 10720*b**4 - 9024*b**3 - 41152*b**2 + 34496*b - 6912 = 0. What is b?
-108, -2, 2/5, 2
Factor 2*m**3/11 - 8*m**2/11 - 70*m/11 + 300/11.
2*(m - 5)**2*(m + 6)/11
Solve -r**3/5 - 31*r**2/5 + 296*r/5 - 624/5 = 0.
-39, 4
Solve 5*k**2 - 480*k + 11520 = 0 for k.
48
Find f such that -5*f**3/3 + 13*f**2/3 - 4*f/3 - 4/3 = 0.
-2/5, 1, 2
Solve 3*q**4/2 + 21*q**3/2 - 111*q**2/2 - 1029*q/2 - 882 = 0.
-7, -4, -3, 7
Find s, given that -3*s**2/4 + 75*s/4 = 0.
0, 25
Let -2*w**2 - 23*w = 0. Calculate w.
-23/2, 0
Factor -3*w**4 + 47*w**3 - 215*w**2 + 217*w + 98.
-(w - 7)**2*(w - 2)*(3*w + 1)
Let -4*c**4/3 - 26*c**3/3 - 46*c**2/3 - 2*c + 6 = 0. What is c?
-3, -1, 1/2
Find n such that n**2/2 + 302*n + 45602 = 0.
-302
Determine g, given that 2*g**2/7 - 28*g - 198/7 = 0.
-1, 99
Find q, given that 2*q**5/7 - 40*q**4/7 + 22*q**3 + 484*q**2/7 = 0.
-2, 0, 11
Factor 2*r**3 - 16*r**2 + 26*r - 12.
2*(r - 6)*(r - 1)**2
Factor 4*s**2/7 + 1480*s/7 + 136900/7.
4*(s + 185)**2/7
Factor -32*i**2 - 7948*i - 2976.
-4*(i + 248)*(8*i + 3)
Factor -15*i**4 + 65*i**3 - 50*i**2.
-5*i**2*(i - 1)*(3*i - 10)
Factor c**3/2 + 115*c**2/2 - 4125*c/2 + 32625/2.
(c - 15)**2*(c + 145)/2
Find a such that -3*a**5 + 95*a**4 - 1043*a**3 + 4449*a**2 - 5434*a + 1936 = 0.
2/3, 1, 8, 11
Let 18*f**3 + 104*f**2/3 + 46*f/3 - 4/3 = 0. Calculate f.
-1, 2/27
Determine s so that 3*s**2/4 - 153*s/4 + 75/2 = 0.
1, 50
Find p, given that -2*p**2/5 - 12*p + 62/5 = 0.
-31, 1
Determine d, given that d**2 - 58*d + 57 = 0.
1, 57
Find o such that 2*o**2/7 - 1788*o/7 + 399618/7 = 0.
447
What is c in c**5 - c**4/2 - 7*c**3/2 - c**2/2 + 5*c/2 + 1 = 0?
-1, -1/2, 1, 2
Suppose x**4/7 - 2*x**3/7 - 13*x**2/7 + 2*x + 24/7 = 0. Calculate x.
-3, -1, 2, 4
Find j such that j**2/4 - 21*j/4 = 0.
0, 21
Suppose 2*y**5 - 50*y**4/9 - 64*y**3/3 + 392*y**2/9 + 32*y/3 = 0. What is y?
-3, -2/9, 0, 2, 4
Suppose -m**4/2 - 65*m**3/2 - 31*m**2 + 64*m = 0. Calculate m.
-64, -2, 0, 1
Let -2*z**3/21 - 10*z**2/7 - 16*z/21 + 8 = 0. What is z?
-14, -3, 2
Let -2*t**2/3 + 212*t/3 - 5618/3 = 0. Calculate t.
53
Suppose t**5/6 - 7*t**4/6 - 23*t**3/6 + 13*t**2/2 + 9*t = 0. What is t?
-3, -1, 0, 2, 9
Solve 2*g**2/11 - 4924*g/11 + 3030722/11 = 0.
1231
Factor 8*l**5 - 91*l**4 + 313*l**3 - 305*l**2 + 75*l.
l*(l - 5)**2*(l - 1)*(8*l - 3)
Solve c**3 + 114*c**2 - c - 114 = 0.
-114, -1, 1
Factor -80*t**3 - 1640*t**2 - 7525*t + 9245.
-5*(t - 1)*(4*t + 43)**2
Determine m, given that 5*m**2 + 170*m = 0.
-34, 0
Solve w**3/6 - 32*w**2/3 - 67*w/2 = 0 for w.
-3, 0, 67
Find o such that -2*o**2 - 86*o = 0.
-43, 0
Factor -a**2 - 599*a/3.
-a*(3*a + 599)/3
Factor d**4/11 + 7*d**3/11.
d**3*(d + 7)/11
Let w**4/2 + 35*w**3 + 564*w**2 + 2365*w - 5929/2 = 0. What is w?
-49, -11, 1
Suppose -5*v**4/3 + 8*v**3 - 10*v**2 + 8*v/3 + 1 = 0. What is v?
-1/5, 1, 3
Factor 5*n**2/4 - 135*n/2 + 130.
5*(n - 52)*(n - 2)/4
Factor -4*d**3 - 132*d**2 + 2436*d - 9212.
-4*(d - 7)**2*(d + 47)
Find z such that 5*z**3 - 20*z**2 - 60*z = 0.
-2, 0, 6
Factor -2*r**5/9 + 2*r**4 - 4*r**3 - 12*r**2 + 54*r - 54.
-2*(r - 3)**4*(r + 3)/9
Find s such that -10*s**4/3 + 38*s**3/3 + 6*s**2 - 38*s/3 - 8/3 = 0.
-1, -1/5, 1, 4
Factor n**3/3 - 5*n**2/3 - 22*n/3 - 16/3.
(n - 8)*(n + 1)*(n + 2)/3
Determine d so that d**3/2 + 9*d**2/2 - 6*d - 10 = 0.
-10, -1, 2
Let -q**2 - 12168*q - 37015056 = 0. Calculate q.
-6084
Factor 2*g**5/5 + 266*g**4/5 + 2206*g**3 + 106126*g**2/5 - 1449104*g/5 + 3322336/5.
2*(g - 4)**2*(g + 47)**3/5
Let -o**4/3 + 25*o**3/3 - 15*o**2 - 25*o/3 + 46/3 = 0. What is o?
-1, 1, 2, 23
Let q**5/2 - 253*q**4/2 + 10446*q**3 - 261784*q**2 - 1656704*q + 1908168 = 0. What is q?
-6, 1, 86
Factor 4*l**4 + 288*l**3 - 900*l**2 + 16*l + 1200.
4*(l - 2)**2*(l + 1)*(l + 75)
Let 14*w**4/9 + 38*w**3/9 + 34*w**2/9 + 10*w/9 = 0. Calculate w.
-1, -5/7, 0
Solve m**2 + 72*m + 207 = 0 for m.
-69, -3
Find y, given that 2*y**3 - 6*y + 4 = 0.
-2, 1
Factor m**3 - 4*m**2 - 11*m - 6.
(m - 6)*(m + 1)**2
Determine a, given that -a**5/8 + a**4/4 + a**3 - 9*a**2/4 + 9*a/8 = 0.
-3, 0, 1, 3
Factor h**3/2 + 5*h**2 - h/2 - 5.
(h - 1)*(h + 1)*(h + 10)/2
Determine b, given that 3*b**3/5 + 51*b**2/5 - 318*b/5 + 264/5 = 0.
-22, 1, 4
Solve 50*x**4/3 - 2810*x**3/3 + 8618*x**2/3 - 2450*x + 636 = 0.
3/5, 2, 53
Suppose -2*t**3/7 - 194*t**2/7 + 8*t/7 + 776/7 = 0. Calculate t.
-97, -2, 2
Determine q so that 6*q**3 + 32*q**2/3 - 8*q/3 = 0.
-2, 0, 2/9
Factor 5*k**5 - 30*k**4 - 40*k**3 + 30*k**2 + 35*k.
5*k*(k - 7)*(k - 1)*(k + 1)**2
Let -2*x**3/3 - 76*x**2/3 - 74*x/3 = 0. What is x?
-37, -1, 0
Suppose 11*q**2/8 - 25*q/4 - 12 = 0. What is q?
-16/11, 6
Determine c so that -4*c**3 + 60*c**2 + 616*c = 0.
-7, 0, 22
Suppose -4*j**2/7 - 176*j/7 + 180/7 = 0. Calculate j.
-45, 1
Factor -h**2 - 99*h/2 - 49/2.
-(h + 49)*(2*h + 1)/2
Suppose -2*p**3/5 + 526*p**2/5 + 212*p = 0. What is p?
-2, 0, 265
Suppose 2*c**4 - 26*c**3/3 - 68*c**2/3 + 40*c/3 + 16 = 0. What is c?
-2, -2/3, 1, 6
What is z in 2*z**3 + 68*z**2/3 + 166*z/3 + 16 = 0?
-8, -3, -1/3
Factor 3*p**3/2 + 90*p**2 + 1350*p.
3*p*(p + 30)**2/2
Solve 250*g**5 - 1250*g**4 - 170*g**3 + 778*g**2 + 352*g + 40 = 0 for g.
-2/5, -1/5, 1, 5
Find v, given that 6*v**4/5 + 24*v**3/5 - 36*v**2 - 120*v + 150 = 0.
-5, 1, 5
Suppose 3*u**4/4 - 12*u**3 + 207*u**2/4 - 135*u/2 = 0. Calculate u.
0, 3, 10
Factor u**4 - 141*u**3 + 4893*u**2 + 5893*u - 30246.
(u - 71)**2*(u - 2)*(u + 3)
Suppose 3*z**5 - 29*z**4 + 26*z**3 + 186*z**2 + 163*z + 35 = 0. Calculate z.
-1, -1/3, 5, 7
Factor 2*x**4 - 22*x**3 + 88*x**2 - 152*x + 96.
2*(x - 4)*(x - 3)*(x - 2)**2
Factor -2*q**2 - 8*q.
-2*q*(q + 4)
Determine w, given that -5*w**4 - 1335*w**3 - 1320*w**2 + 2660*w = 0.
-266, -2, 0, 1
Suppose 2*q**2/17 - 30*q/17 - 4 = 0. Calculate q.
-2, 17
Determine w so that 2*w**5/13 + 16*w**4/13 + 50*w**3/13 + 76*w**2/13 + 56*w/13 + 16/13 = 0.
-2, -1
Factor n**4/4 + 23*n**3/4 + 189*n**2/4 + 637*n/4 + 343/2.
(n + 2)*(n + 7)**3/4
Find r such that r**3/8 + 31*r**2/8 + 28*r - 32 = 0.
-16, 1
Let 4*m**3 - 20*m**2 - 4*m + 20 = 0. What is m?
-1, 1, 5
Solve v**5/3 + 4*v**4/3 - v**3 - 10*v**2/3 + 8*v/3 = 0.
-4, -2, 0, 1
Factor -3*u**2 - 33*u - 54.
-3*(u + 2)*(u + 9)
Factor -5*j**3 + 5*j**2 + 245*j - 245.
-5*(j - 7)*(j - 1)*(j + 7)
Suppose -5*v**5 - 110*v**4 - 455*v**3 - 490*v**2 + 380*v + 680 = 0. What is v?
-17, -2, 1
Factor c**3 - 105*c**2 + 2808*c - 2704.
(c - 52)**2*(c - 1)
Find u such that 8*u**5 + 84*u**4 + 336*u**3 + 628*u**2 + 528*u + 144 = 0.
-3, -2, -1/2
Find l, given that l**3/2 - 21*l**2/2 + 99*l/2 + 121/2 = 0.
-1, 11
Determine w so that -w**5/3 - 3*w**4 - 22*w**3/3 - 2*w**2 + 23*w/3 + 5 = 0.
-5, -3, -1, 1
Factor h**2/4 + 13*h + 51/4.
(h + 1)*(h + 51)/4
Solve 2*l**4 - 24*l**3 - 154*l**2 - 264*l - 136 = 0 for l.
-2, -1, 17
Let -2*d**2 + 394*d/3 + 44 = 0. What is d?
-1/3, 66
Find d, given that 80*d**5 + 600*d**4 + 725*d**3 - 175*d + 30 = 0.
-6, -1, 1/4
Factor 2*x**5/7 - 6*x**4/7 - 2*x**3/7 + 22*x**2/7 - 24*x/7 + 8/7.
2*(x - 2)*(x - 1)**3*(x + 2)/7
Factor 4*b**3/5 - 61*b**2/5 + 159*b/5 - 36/5.
(b - 12)*(b - 3)*(4*b - 1)/