Find b, given that b**2/3 - 5*b/3 - 104/3 = 0.
-8, 13
Factor -2*o**4 + 6*o**3 - 2*o**2 - 6*o + 4.
-2*(o - 2)*(o - 1)**2*(o + 1)
Factor 4*x**4 + 128*x**3 - 132*x**2.
4*x**2*(x - 1)*(x + 33)
Find r such that -r**3/4 + 23*r**2 - 2021*r/4 - 2209/2 = 0.
-2, 47
Solve -9*w**3 + 218*w**2 - 768*w + 160 = 0 for w.
2/9, 4, 20
Factor 2*w**3/9 - 26*w**2/9 + 70*w/9 + 98/9.
2*(w - 7)**2*(w + 1)/9
Let 5*c**2 + 210*c = 0. What is c?
-42, 0
Factor 4*k**5 - 376*k**4 - 6240*k**3 - 32200*k**2 - 54500*k.
4*k*(k - 109)*(k + 5)**3
Suppose 4*a**2/5 = 0. Calculate a.
0
Factor 2*y**3/7 + 142*y**2/7 - 2*y/7 - 142/7.
2*(y - 1)*(y + 1)*(y + 71)/7
Factor 3*r**4 + 162*r**3 + 1827*r**2 - 10092*r.
3*r*(r - 4)*(r + 29)**2
Factor -q**4/2 + 5*q**3 + 3*q**2/2 - 70*q - 98.
-(q - 7)**2*(q + 2)**2/2
Let -3*z**3 + 21*z**2 = 0. Calculate z.
0, 7
Let 2*y**5/17 + 12*y**4/17 + 18*y**3/17 + 8*y**2/17 = 0. What is y?
-4, -1, 0
Let 2*g**2 + 984*g = 0. What is g?
-492, 0
Determine b, given that b**4 - 115*b**3 + 112*b**2 + 228*b = 0.
-1, 0, 2, 114
Determine s so that -s**4 + 14*s**3 - 13*s**2 = 0.
0, 1, 13
Find y, given that 363*y**3/5 - 4653*y**2/5 - 171*y - 39/5 = 0.
-1/11, 13
Let 18*j**4/7 + 194*j**3/7 + 586*j**2/7 + 310*j/7 - 100/7 = 0. What is j?
-5, -1, 2/9
What is f in -f**3/2 + 241*f**2 + 1453*f/2 + 485 = 0?
-2, -1, 485
Factor 3*o**3/2 - 3*o**2 - 12*o.
3*o*(o - 4)*(o + 2)/2
Find g such that 5*g**4 - 120*g**2 - 320*g - 240 = 0.
-2, 6
Factor -2*l**3/3 + 184*l**2/3 + 2*l/3 - 184/3.
-2*(l - 92)*(l - 1)*(l + 1)/3
Determine u, given that 5*u**4 + 30*u**3 + 15*u**2 - 50*u = 0.
-5, -2, 0, 1
Suppose -v**2/4 + 5*v/4 - 3/2 = 0. What is v?
2, 3
Solve 2*u**4/9 + 8*u**3/9 - 2*u**2/9 - 8*u/9 = 0.
-4, -1, 0, 1
Let -3*u**4/5 + 152*u**3/5 - 246*u**2/5 + 48*u/5 + 49/5 = 0. What is u?
-1/3, 1, 49
Factor 5*n**5/2 - 3*n**4/2 - 9*n**3/2 + 7*n**2/2.
n**2*(n - 1)**2*(5*n + 7)/2
Factor 2*o**3 + 2*o**2.
2*o**2*(o + 1)
Suppose 2*c**3/15 - 126*c**2/5 + 7938*c/5 - 166698/5 = 0. Calculate c.
63
Factor 5*m**2 + 690*m - 3575.
5*(m - 5)*(m + 143)
Suppose 4*u**3 + 56*u**2 - 124*u + 64 = 0. What is u?
-16, 1
Factor -3*q**2 + 33*q + 78.
-3*(q - 13)*(q + 2)
Factor -2*s**4 + 42*s**3 - 218*s**2 + 318*s - 140.
-2*(s - 14)*(s - 5)*(s - 1)**2
Find r, given that -3*r**5 + 33*r**3 + 18*r**2 - 84*r - 72 = 0.
-2, -1, 2, 3
Find v, given that 4*v**3 + 4*v**2 - 80*v = 0.
-5, 0, 4
Factor -u**4 + 50*u**3 - 97*u**2 + 48*u.
-u*(u - 48)*(u - 1)**2
Factor -2*m**2/7 + 100*m/7.
-2*m*(m - 50)/7
Factor 5*k**4 - 95*k**3 - 315*k**2 - 325*k - 110.
5*(k - 22)*(k + 1)**3
Find d such that -2*d**2/5 + 62*d/5 - 468/5 = 0.
13, 18
Solve -25*s**5 + 20*s**4 + 296*s**3 + 160*s**2 - 272*s + 64 = 0 for s.
-2, 2/5, 4
Find t such that 2*t**5 + 11280*t**4 + 21206400*t**3 + 13289344000*t**2 = 0.
-1880, 0
What is i in 2*i**2 - 560*i + 39200 = 0?
140
Determine s so that -75*s**5 - 405*s**4 + 822*s**3 - 150*s**2 - 171*s - 21 = 0.
-7, -1/5, 1
Factor 4*m**4 + 25*m**3 - 22*m**2 - 7*m.
m*(m - 1)*(m + 7)*(4*m + 1)
Factor -w**2 + 55*w - 106.
-(w - 53)*(w - 2)
Determine a, given that -a**3/4 + 329*a**2/4 + 661*a/4 + 331/4 = 0.
-1, 331
Suppose 12*t**4 + 180*t**3 + 459*t**2 + 330*t + 72 = 0. What is t?
-12, -2, -1/2
Determine a, given that -2*a**4/5 - 166*a**3/5 - 326*a**2/5 - 162*a/5 = 0.
-81, -1, 0
Let q**3 + 8*q**2 + 7*q = 0. What is q?
-7, -1, 0
Suppose 2*f**3/9 + 766*f**2/9 + 24320*f/3 - 8192 = 0. What is f?
-192, 1
Factor -s**4 + 199*s**3 - 9999*s**2 + 9801*s.
-s*(s - 99)**2*(s - 1)
Solve u**4 - 3*u**3 - 9*u**2 + 23*u - 12 = 0 for u.
-3, 1, 4
Factor -5*h**2 + 30*h - 40.
-5*(h - 4)*(h - 2)
Factor r**4/4 + 1845*r**3/4 + 212982*r**2 + 212521*r.
r*(r + 1)*(r + 922)**2/4
Factor -4*r**2/3 - 64*r/3 + 68/3.
-4*(r - 1)*(r + 17)/3
Factor -783*n**2/7 + 222*n + 24/7.
-3*(n - 2)*(261*n + 4)/7
Factor 3*k**2/5 + 4086*k/5 + 1391283/5.
3*(k + 681)**2/5
Solve 3*u**2/7 + 420*u + 102900 = 0 for u.
-490
Factor 4*p**4 + 196*p**3 + 2292*p**2 - 2900*p - 5000.
4*(p - 2)*(p + 1)*(p + 25)**2
Suppose 12*u**3/5 - 99*u**2/5 + 213*u/5 - 126/5 = 0. Calculate u.
1, 2, 21/4
Suppose 2*i**3/5 + 401*i**2/5 - 5792*i/5 - 2996/5 = 0. What is i?
-214, -1/2, 14
Factor -3*l**2/5 - 14*l/5.
-l*(3*l + 14)/5
Factor 2*u**3/7 + 8*u**2 - 58*u/7.
2*u*(u - 1)*(u + 29)/7
Factor -2*m**3/5 - 18*m**2/5 + 44*m/5.
-2*m*(m - 2)*(m + 11)/5
What is f in -f**5/4 + 27*f**4/4 - 33*f**3/2 - 38*f**2 + 48*f = 0?
-2, 0, 1, 4, 24
What is s in 3*s**4/5 + 48*s**3/5 + 222*s**2/5 + 312*s/5 + 27 = 0?
-9, -5, -1
Find y such that -3*y**4/8 - 3*y**3/2 + 3*y**2/8 + 3*y/2 = 0.
-4, -1, 0, 1
Determine a so that -6*a**2 - 268*a - 176 = 0.
-44, -2/3
Factor -2*w**2/9 - 4*w/3 - 16/9.
-2*(w + 2)*(w + 4)/9
Determine x, given that -5*x**2 - 60*x + 1265 = 0.
-23, 11
Factor -2*q**3/13 + 140*q**2/13.
-2*q**2*(q - 70)/13
Let -k**5/5 + 5*k**4 - 79*k**3/5 - 21*k**2 = 0. What is k?
-1, 0, 5, 21
Factor -j**3/9 - 68*j**2/9 - 65*j/9 + 134/9.
-(j - 1)*(j + 2)*(j + 67)/9
Factor -5*s**4 + 85*s**3 - 390*s**2 + 160*s + 640.
-5*(s - 8)**2*(s - 2)*(s + 1)
Factor 3*l**2 + 3708*l.
3*l*(l + 1236)
Suppose -q**4/4 + 8*q**3 - 74*q**2 + 112*q + 588 = 0. What is q?
-2, 6, 14
What is q in 2*q**2/5 + 52*q/5 - 462/5 = 0?
-33, 7
Suppose 5*w**3 - 10*w**2 - 20*w + 40 = 0. Calculate w.
-2, 2
Suppose 9*j**2 + 109*j/6 + 1/3 = 0. Calculate j.
-2, -1/54
Factor 3*p**2 + 33*p + 30.
3*(p + 1)*(p + 10)
Factor -k**3/9 + 191*k**2/9 + 4120*k/9 + 21100/9.
-(k - 211)*(k + 10)**2/9
Factor 4*p**3 + 44436*p**2 + 164546508*p + 203105239708.
4*(p + 3703)**3
Factor -2*c**3/15 - 668*c**2/5 + 2006*c/15.
-2*c*(c - 1)*(c + 1003)/15
Suppose 3*d**3/5 - 491*d**2/5 + 20008*d/5 + 6724/5 = 0. What is d?
-1/3, 82
Let 183184*s**2/5 - 856*s/5 + 1/5 = 0. What is s?
1/428
Factor i**3 + 47*i**2 + 456*i + 1260.
(i + 6)**2*(i + 35)
Factor 2*p**2 + 2*p.
2*p*(p + 1)
Determine r so that -r**3 - 260*r**2 = 0.
-260, 0
Let 2*c**5/15 - 4*c**4/15 - 2*c**3/5 + 16*c**2/15 - 8*c/15 = 0. What is c?
-2, 0, 1, 2
Determine d so that 16*d**2 + 292*d + 72 = 0.
-18, -1/4
Find f, given that -5*f**2/3 - 29*f - 154/3 = 0.
-77/5, -2
Solve 3*p**3/2 + 49*p**2 - 135*p/2 + 17 = 0.
-34, 1/3, 1
Factor 4*p**3/5 + 388*p**2/5 + 1920*p + 9216/5.
4*(p + 1)*(p + 48)**2/5
Factor -2*d**5/23 - 6*d**4/23 + 8*d**2/23.
-2*d**2*(d - 1)*(d + 2)**2/23
Factor 14*y**2 + 10*y - 4.
2*(y + 1)*(7*y - 2)
Factor 2*j**2 + 112*j + 1568.
2*(j + 28)**2
Solve 4*a**5/3 - 208*a**4/3 + 896*a**3 + 832*a**2/3 - 10816*a/3 = 0 for a.
-2, 0, 2, 26
Find b, given that 2*b**3/5 + 48*b**2/5 + 18*b + 44/5 = 0.
-22, -1
Factor 5*n**2 - 45*n - 50.
5*(n - 10)*(n + 1)
Suppose o**2/3 - 5756*o/3 + 8282884/3 = 0. Calculate o.
2878
Determine v, given that -10*v**5/11 - 632*v**4/11 - 10356*v**3/11 - 11656*v**2/11 - 1922*v/11 = 0.
-31, -1, -1/5, 0
Determine v, given that -2*v**3/13 - 86*v**2/13 - 516*v/13 - 432/13 = 0.
-36, -6, -1
Factor -4*d**4/5 + 23776*d**3/5 - 35331136*d**2/5.
-4*d**2*(d - 2972)**2/5
Factor -3*l**2/5 - 33*l/5 - 84/5.
-3*(l + 4)*(l + 7)/5
Factor 2*h**4/7 - 2*h**3/7 - 12*h**2/7.
2*h**2*(h - 3)*(h + 2)/7
Find x such that -4*x**5/3 - 16*x**4/3 = 0.
-4, 0
Factor 2*f**2/7 - 4*f.
2*f*(f - 14)/7
Let 5*a**2 + 350*a + 6125 = 0. Calculate a.
-35
Factor 5*y**3 + 175*y**2 - 365*y + 185.
5*(y - 1)**2*(y + 37)
Factor -5*j**2 + 1670*j - 8225.
-5*(j - 329)*(j - 5)
Factor 2*h**3 - 36*h**2 + 120*h - 112.
2*(h - 14)*(h - 2)**2
Find u, given that 2*u**4/7 + 4*u**3/7 - 10*u**2/7 - 12*u/7 = 0.
-3, -1, 0, 2
Factor 2*t**2/9 + 92*t/9 + 10.
2*(t + 1)*(t + 45)/9
Factor 5*c**3 - 380*c**2/3 + 2915*c/3 - 6050/3.
5*(c - 11)**2*(3*c - 10)/3
Let 2*z**5 - 74*z**4 - 490*z**3 - 1094*z**2 - 1024*z - 344 = 0. Calculate z.
-2, -1, 43
Let q**5 - 15*q**4 + 32*q**3 + 48*q**2 = 0. What is q?
-1, 0, 4, 12
Suppose -76*h**3 + 428*h**2 - 352*h = 0. What is h?
0, 1, 88/19
Factor j**4/4 - 3*j**3 - j**2/4 + 3*j.
j*(j - 12)*(j - 1)*(j + 1)/4
Suppose -36*a**4/5 - 764*a**3/5 - 1092*a**2 - 13524*a/5 - 2744/5 = 0. What is a?
-7, -2/9
Suppose 2*u**2/3 + 22*u/3 - 8 = 0. Calculate u.
-12, 1
What is x in -4*x**4 - 96*x**3 + 208*x**2 = 0?
-26, 0, 2
Determine t so that t**2 - 27*t - 58 = 0.
-2, 29
Determine w so that 2*w**3 + 252*w**2 + 7938*w = 0.
-63, 0
Factor 2*f**4 + 444*f**3 - 448*f**2 - 444*f + 446.
2*(f - 1)**2*(f + 1)*(f + 223)
Suppose -17*m**2/8 + 91*m/8 = 0. Calculate m.
0, 91/17
Suppose 3*x**5 + 9*x**4 - 39*x**3 - 21*x**2 + 