*2 - 655*l = 0. Calculate l.
-131, 0
Determine g so that 2*g**3 - 442*g**2 + 9744*g - 56736 = 0.
12, 197
Determine s, given that 5*s**5 - 40*s**4 - 5*s**3 + 40*s**2 = 0.
-1, 0, 1, 8
Suppose -3*o**4 + 6*o**3 + 21*o**2 - 24*o - 36 = 0. Calculate o.
-2, -1, 2, 3
Determine y, given that -6*y**2/5 - 272*y/5 - 18 = 0.
-45, -1/3
Let -c**3 + 896*c**2 - 895*c = 0. Calculate c.
0, 1, 895
Factor -3*t**2 - 1707*t + 1710.
-3*(t - 1)*(t + 570)
What is p in 3*p**4 - 663*p**3 + 3264*p**2 - 5196*p + 2592 = 0?
1, 2, 216
Solve 4*b**3/5 + 1048*b**2/5 - 2108*b/5 + 1056/5 = 0.
-264, 1
Factor -3*w**3 + 48*w**2 + 117*w - 162.
-3*(w - 18)*(w - 1)*(w + 3)
Factor -2*v**2/11 + 316*v/11 + 1630/11.
-2*(v - 163)*(v + 5)/11
Suppose 4*t**2 - 147*t + 108 = 0. What is t?
3/4, 36
Factor 5*w**4 - 90*w**3 + 75*w**2 + 170*w.
5*w*(w - 17)*(w - 2)*(w + 1)
Find n, given that n**4/4 + n**3 + n**2/2 - n - 3/4 = 0.
-3, -1, 1
Factor 2*v**3/7 + 20*v**2/7 - 248*v + 2128.
2*(v - 14)**2*(v + 38)/7
Factor -4*s**3/3 + 44*s**2/9 + 268*s/9 + 28/3.
-4*(s - 7)*(s + 3)*(3*s + 1)/9
Let 3*u**5/4 - 27*u**4/4 + 15*u**3/4 + 75*u**2/4 - 9*u/2 - 12 = 0. Calculate u.
-1, 1, 2, 8
What is a in 5*a**4/3 + 171*a**3 + 268*a**2 - 404*a/3 = 0?
-101, -2, 0, 2/5
Determine r so that 3*r**3/2 - 219*r**2/2 = 0.
0, 73
What is j in -j**2/5 - 6*j + 99/5 = 0?
-33, 3
Find i such that 2*i**2 + 2504*i = 0.
-1252, 0
Determine o so that o**4 + 187*o**3/3 - 319*o**2/3 + 65*o/3 + 64/3 = 0.
-64, -1/3, 1
Suppose w**5/7 + 57*w**4/7 - 433*w**3/7 + 951*w**2/7 - 576*w/7 = 0. What is w?
-64, 0, 1, 3
Factor -5*y**2 - 440*y.
-5*y*(y + 88)
Determine m, given that 5*m**3/2 - 497*m**2/2 + 819*m - 288 = 0.
2/5, 3, 96
Let 3*f**4 - 30*f**3 + 75*f**2 = 0. What is f?
0, 5
Find k, given that 20*k**2 - 1535*k - 385 = 0.
-1/4, 77
Find w such that 3*w**3 - 1254*w**2 - 2517*w - 1260 = 0.
-1, 420
Determine z, given that -4*z**4 - 12*z**3 + 156*z**2 + 460*z - 600 = 0.
-5, 1, 6
Factor 3*j**2/7 + 33*j/7.
3*j*(j + 11)/7
Find o, given that 2*o**2/15 + 8*o/5 + 24/5 = 0.
-6
Factor 2*g**3 - 26*g**2 + 84*g.
2*g*(g - 7)*(g - 6)
Find f such that 4*f**2 - 448*f - 1856 = 0.
-4, 116
Factor o**5/6 + 65*o**4/3 + 1219*o**3/2 - 6348*o**2.
o**2*(o - 8)*(o + 69)**2/6
Let 3*m**2 - 579*m + 1710 = 0. What is m?
3, 190
Determine l, given that 2*l**3/3 - 40*l**2 + 346*l/3 - 76 = 0.
1, 2, 57
Find t such that -3*t**5 + 9*t**4 + 6*t**3 - 36*t**2 + 24*t = 0.
-2, 0, 1, 2
Suppose 108*p**5/7 - 132*p**4 + 2144*p**3/7 - 432*p**2/7 - 1152*p/7 + 256/7 = 0. What is p?
-2/3, 2/9, 1, 4
Determine r so that -3*r**3/4 - 1695*r**2 - 13551*r/4 - 3387/2 = 0.
-2258, -1
Factor 2*k**3/9 + 6*k**2 - 242*k/9 + 62/3.
2*(k - 3)*(k - 1)*(k + 31)/9
Factor -2*h**2 + 92*h - 1058.
-2*(h - 23)**2
Factor 2*p**2 - 36*p - 38.
2*(p - 19)*(p + 1)
Solve -2*j**3/9 - 12656*j**2/9 - 20021792*j/9 = 0.
-3164, 0
Find w such that w**4/5 + 18*w**3/5 - 7*w**2/5 - 24*w + 108/5 = 0.
-18, -3, 1, 2
Factor q**4/6 + 25*q**3/6 + 67*q**2/2 + 213*q/2 + 117.
(q + 3)**2*(q + 6)*(q + 13)/6
Suppose 3*q**3/4 - 45*q**2/2 + 189*q - 294 = 0. Calculate q.
2, 14
Factor -2*x**3/3 - 34*x**2/3 + 12*x.
-2*x*(x - 1)*(x + 18)/3
Solve 21*t**3 - 213*t**2/2 + 183*t/2 - 6 = 0 for t.
1/14, 1, 4
Factor -3*t**2/4 - 7233*t/2 - 17438763/4.
-3*(t + 2411)**2/4
Determine o so that -2*o**4 - 54*o**3 + 242*o**2 - 186*o = 0.
-31, 0, 1, 3
Determine v, given that -92*v**5 + 4696*v**4 - 112*v**3 - 4696*v**2 + 204*v = 0.
-1, 0, 1/23, 1, 51
Factor -k**3/4 - 158*k**2.
-k**2*(k + 632)/4
Factor 4*i**2 + 300*i.
4*i*(i + 75)
Determine n so that 2*n**2 + 48*n + 88 = 0.
-22, -2
Suppose 6*a**3/11 - 34*a**2/11 - 64*a/11 + 56/11 = 0. What is a?
-2, 2/3, 7
Factor 2*p**2/7 + 58*p/7 + 8.
2*(p + 1)*(p + 28)/7
Factor 3*h**5 - 51*h**4 + 90*h**3 + 6*h**2 - 93*h + 45.
3*(h - 15)*(h - 1)**3*(h + 1)
What is u in 4*u**3 + 440*u**2 + 7652*u - 8096 = 0?
-88, -23, 1
Factor 100*d**3 + 10820*d**2 - 77044*d + 132940.
4*(d + 115)*(5*d - 17)**2
Suppose -2*u**4/3 - 5*u**3/3 - 4*u**2/3 - u/3 = 0. What is u?
-1, -1/2, 0
Factor 20*c**3 - 1212*c**2 + 18072*c + 7424.
4*(c - 32)*(c - 29)*(5*c + 2)
Solve -x**2 + 69*x - 320 = 0.
5, 64
Factor -2*s**4 - 6*s**3 - 2*s**2 + 6*s + 4.
-2*(s - 1)*(s + 1)**2*(s + 2)
Factor p**4 - 66*p**3 + 1144*p**2 - 2094*p + 1015.
(p - 35)*(p - 29)*(p - 1)**2
Suppose -2*f**3 - 46*f**2 - 44*f = 0. What is f?
-22, -1, 0
Factor -2*p**2/11 - 3932*p/11 + 3934/11.
-2*(p - 1)*(p + 1967)/11
Factor -2*a**4/7 - 2480*a**3/7 - 766316*a**2/7 + 1540080*a/7 - 771282/7.
-2*(a - 1)**2*(a + 621)**2/7
Factor -2*h**3/3 - 28*h**2/9 + 14*h/9 + 20/9.
-2*(h - 1)*(h + 5)*(3*h + 2)/9
Let -5*z**4 + 130*z**3 - 965*z**2 + 1560*z - 720 = 0. Calculate z.
1, 12
What is g in 2*g**4/5 - 742*g**3/5 - 744*g**2/5 = 0?
-1, 0, 372
Find a, given that 3*a**5 + 335*a**4/3 + 2612*a**3/3 - 3172*a**2 + 4960*a/3 + 1600/3 = 0.
-20, -2/9, 1, 2
Solve -2*h**5 - 2*h**4/3 + 100*h**3 + 100*h**2/3 - 98*h - 98/3 = 0 for h.
-7, -1, -1/3, 1, 7
Let -2*a**5/3 - 2*a**4/3 + 4*a**3/3 = 0. Calculate a.
-2, 0, 1
Find d, given that 18*d**5 - 382*d**4/3 + 460*d**3/3 + 832*d**2/3 - 64*d/3 = 0.
-1, 0, 2/27, 4
Suppose -l**5/7 - l**4 + 36*l**3/7 + 464*l**2/7 + 1472*l/7 + 1536/7 = 0. What is l?
-4, -3, 8
Factor 5*z**4 - 105*z**3 + 365*z**2 - 435*z + 170.
5*(z - 17)*(z - 2)*(z - 1)**2
Factor -4*b**4 + 20*b**3 + 4*b**2 - 20*b.
-4*b*(b - 5)*(b - 1)*(b + 1)
Factor 4*u**3 - 2324*u**2.
4*u**2*(u - 581)
Factor 10*c**3/7 - 86*c**2/7 + 144*c/7 + 72/7.
2*(c - 6)*(c - 3)*(5*c + 2)/7
Suppose 2*i**3/3 - 3946*i**2/3 - 1316*i = 0. Calculate i.
-1, 0, 1974
Factor -4*l**2/3 + 16*l + 112/3.
-4*(l - 14)*(l + 2)/3
Factor -2*j**5 - 4*j**4 + 14*j**3 - 8*j**2.
-2*j**2*(j - 1)**2*(j + 4)
Let -32*g**2/3 + 44*g - 16/3 = 0. What is g?
1/8, 4
Let 2*l**2 + 64*l + 512 = 0. What is l?
-16
Suppose 5*c**2 + 648*c - 260 = 0. What is c?
-130, 2/5
Factor -y**4 + 26*y**3 - 92*y**2 + 88*y.
-y*(y - 22)*(y - 2)**2
Let -2*y**3 + 6*y**2 + 2*y - 6 = 0. Calculate y.
-1, 1, 3
Factor -4*z**2 - 48*z - 144.
-4*(z + 6)**2
Find z such that -3*z**2/4 - 111*z/4 - 153/2 = 0.
-34, -3
Factor -2*n**4/7 + 10*n**3/7 + 44*n**2/7 - 16*n.
-2*n*(n - 7)*(n - 2)*(n + 4)/7
Factor -8*f**4/11 - 904*f**3/11 - 25986*f**2/11 - 25312*f/11 - 6272/11.
-2*(f + 56)**2*(2*f + 1)**2/11
Factor 3*n**3/5 + 41*n**2 + 3536*n/5 + 1156/5.
(n + 34)**2*(3*n + 1)/5
Factor -v**4 - 3*v**3 + 9*v**2 + 27*v.
-v*(v - 3)*(v + 3)**2
Factor -6*i**3 + 328*i**2 - 526*i - 212.
-2*(i - 53)*(i - 2)*(3*i + 1)
Find t such that 3*t**3/7 - 501*t**2/7 + 21648*t/7 - 60516/7 = 0.
3, 82
Factor -u**4/4 + 35*u**3/4 - 179*u**2/4 + 145*u/4.
-u*(u - 29)*(u - 5)*(u - 1)/4
Let -55*p**4 + 60*p**3 + 105*p**2 - 10*p = 0. Calculate p.
-1, 0, 1/11, 2
Factor 3*b**3/4 + 9*b**2/2 - 75*b/4 + 27/2.
3*(b - 2)*(b - 1)*(b + 9)/4
Find g, given that -5*g**3/4 - 135*g**2/4 - 205*g + 240 = 0.
-16, -12, 1
Factor -3*u**4 - 159*u**3 + 1260*u**2.
-3*u**2*(u - 7)*(u + 60)
Factor -5*l**4 + 15*l**3 - 15*l**2 + 5*l.
-5*l*(l - 1)**3
Find n, given that n**3/3 - 3*n**2 - 34*n/3 - 8 = 0.
-2, -1, 12
Suppose 5*x**4 - 55*x**3 + 165*x**2 - 185*x + 70 = 0. Calculate x.
1, 2, 7
Factor -2*h**2/3 + 1844*h/3 - 425042/3.
-2*(h - 461)**2/3
Determine d, given that 2*d**2/3 - 44*d/3 + 242/3 = 0.
11
Let 2*r**3 + 10*r**2 - 48*r = 0. Calculate r.
-8, 0, 3
What is b in -5*b**4/4 + 65*b**3/2 - 125*b**2/4 = 0?
0, 1, 25
Let -2*q**5 - 27020*q**4 - 146016080*q**3 - 394535448160*q**2 - 533017390464160*q - 288042597806832064 = 0. What is q?
-2702
Factor -3*m**2 - 780*m - 5313.
-3*(m + 7)*(m + 253)
Suppose 2*u**3/9 - 302*u**2/9 - 3202*u/9 - 322 = 0. What is u?
-9, -1, 161
Factor -2*n**3 - 2620*n**2.
-2*n**2*(n + 1310)
Factor c**3/4 - c**2/2.
c**2*(c - 2)/4
Find l such that l**4/6 + 14*l**3/3 + 25*l**2/2 - 2*l/3 - 50/3 = 0.
-25, -2, 1
Factor -309*l**2/8 + 621*l/4 - 3.
-3*(l - 4)*(103*l - 2)/8
Determine h, given that -60*h**4 - 128*h**3 + 44*h**2 + 128*h + 16 = 0.
-2, -1, -2/15, 1
Find q such that 8*q**3/5 - 2*q**2/5 = 0.
0, 1/4
Find w such that -3*w**2/4 + 3*w/2 + 45/4 = 0.
-3, 5
Let 2*q**2/7 - 3956*q/7 + 1956242/7 = 0. What is q?
989
Factor 2*j**2 - 298*j.
2*j*(j - 149)
Suppose 11*b**3/4 - 23*b**2 + 59*b - 48 = 0. What is b?
2, 48/11
Let -4*j**3 - 64*j**2 + 140*j - 72 = 0. What is j?
-18, 1
Determine x, given that x**5/4 - x**3/2 + x/4 = 0.
-1, 0, 1
Factor a**3/2 + 3*a**2 - 9*a/2 - 7.
(a - 2)*(a + 1)*(a + 7)/2
