= 0.
0, 4, 249
Find i, given that -4*i**3/5 - 136*i**2/5 + 60*i + 432/5 = 0.
-36, -1, 3
Determine d so that 3*d**5/7 - 24*d**4/7 + 66*d**3/7 - 72*d**2/7 + 27*d/7 = 0.
0, 1, 3
Let 10*k**5/3 - 44*k**4/3 - 34*k**3 + 120*k**2 = 0. What is k?
-3, 0, 12/5, 5
Suppose -2*z**3/9 + 8*z**2/3 - 14*z/3 - 196/9 = 0. Calculate z.
-2, 7
Suppose -2*z**5 - 2*z**4 + 44*z**3 - 88*z**2 + 48*z = 0. What is z?
-6, 0, 1, 2
Solve -1420*r**2/3 - 476*r - 8/3 = 0.
-1, -2/355
Determine h, given that 4*h**2/9 + 440*h/3 + 12100 = 0.
-165
Factor -d**4/4 - d**3/4 + 3*d**2/4 + d/4 - 1/2.
-(d - 1)**2*(d + 1)*(d + 2)/4
Factor -v**2/6 + 233*v/6 + 405.
-(v - 243)*(v + 10)/6
Let 5*a**4/4 + 1365*a**3/4 + 340*a**2 = 0. Calculate a.
-272, -1, 0
Suppose -7*d**4/4 + 5*d**3/4 + d**2/2 = 0. What is d?
-2/7, 0, 1
Determine n, given that 2*n**3/7 - 66*n**2 + 5082*n - 130438 = 0.
77
Factor -k**5 - 8*k**4 - 16*k**3 + 16*k**2 + 80*k + 64.
-(k - 2)*(k + 2)**3*(k + 4)
Let -2*o**3 - 32*o**2 - 40*o + 224 = 0. What is o?
-14, -4, 2
Let -4*w**5 + 120*w**4 + 812*w**3 + 1824*w**2 + 1712*w + 576 = 0. Calculate w.
-2, -1, 36
Find c such that 3*c**5 + 6*c**4 - 27*c**3 - 6*c**2 + 24*c = 0.
-4, -1, 0, 1, 2
Factor -60*n**2 - 99*n - 30.
-3*(4*n + 5)*(5*n + 2)
Suppose -5*q**5 + 290*q**4 - 4985*q**3 + 22640*q**2 - 31460*q + 13520 = 0. Calculate q.
1, 4, 26
Find h such that -h**2 - 158*h - 465 = 0.
-155, -3
Solve 3*x**5 + 63*x**4 + 447*x**3 + 1305*x**2 + 1350*x = 0.
-10, -5, -3, 0
Let -m**4/4 - 3*m**3 + 59*m**2/4 - 39*m/2 + 8 = 0. What is m?
-16, 1, 2
Let -o**2 + 36*o + 76 = 0. What is o?
-2, 38
Factor 5*u**4 + 20*u**3 - 10*u**2 - 60*u + 45.
5*(u - 1)**2*(u + 3)**2
Let 49*u**4/2 - 19383*u**3/2 - 4170*u**2 + 4754*u - 792 = 0. What is u?
-1, 2/7, 396
Find v such that -5*v**2 + 300*v + 620 = 0.
-2, 62
Find k such that 4*k**3 + 2060*k**2 + 8192*k + 8176 = 0.
-511, -2
Factor -4*b**2 - 340*b - 1896.
-4*(b + 6)*(b + 79)
Let y**5 - 28*y**4 + 165*y**3 - 398*y**2 + 428*y - 168 = 0. What is y?
1, 2, 21
Let 60*t**5 + 16*t**4 - 264*t**3 + 240*t**2 - 52*t = 0. Calculate t.
-13/5, 0, 1/3, 1
Let 5*z**2 - 1640*z + 134480 = 0. Calculate z.
164
Factor 5*a**5 - 11215*a**4 + 9430410*a**3 - 3521727990*a**2 + 491715369585*a + 495246539205.
5*(a - 561)**4*(a + 1)
Factor -3*s**4 + 90*s**3 - 759*s**2 + 1260*s - 588.
-3*(s - 14)**2*(s - 1)**2
Factor -2*g**4/5 + 784*g**3 - 576240*g**2 + 188238400*g - 23059204000.
-2*(g - 490)**4/5
Determine i, given that -20*i**5 - 53*i**4 + 72*i**3 + 181*i**2 + 88*i + 12 = 0.
-3, -1, -2/5, -1/4, 2
Find z, given that -z**5/2 - 5*z**4/2 + 25*z**3/2 + 65*z**2/2 - 60*z - 126 = 0.
-7, -2, 3
Suppose o**5/2 - 14*o**4 - 49*o**3 + 76*o**2 + 97*o/2 - 62 = 0. What is o?
-4, -1, 1, 31
Factor -2*c**2/9 + 2*c + 8.
-2*(c - 12)*(c + 3)/9
Solve -t**3/3 + 107*t**2/3 = 0.
0, 107
Suppose 38*g**5/9 + 34*g**4/9 - 118*g**3/9 - 26*g**2/9 + 80*g/9 - 8/9 = 0. What is g?
-2, -1, 2/19, 1
Factor -27*u**3 - 57*u**2 + 132*u + 180.
-3*(u - 2)*(u + 3)*(9*u + 10)
Suppose 3*j**5/2 + 21*j**4/2 - 3*j**3 - 21*j**2 + 3*j/2 + 21/2 = 0. What is j?
-7, -1, 1
Factor 3*i**4/8 + 15*i**3/8 + 9*i**2/8 - 15*i/8 - 3/2.
3*(i - 1)*(i + 1)**2*(i + 4)/8
Let 2*s**3 + 130*s**2 + 2046*s - 2178 = 0. What is s?
-33, 1
Factor 2*h**2 - 14*h - 60.
2*(h - 10)*(h + 3)
Solve -c**4/7 + 158*c**3/7 - 465*c**2/7 = 0 for c.
0, 3, 155
Let -2*b**4/7 + 136*b**3/7 + 1234*b**2/7 - 1368*b/7 = 0. Calculate b.
-9, 0, 1, 76
Solve 4*o**5 - 4*o**4 - 80*o**3 + 80*o**2 + 256*o - 256 = 0.
-4, -2, 1, 2, 4
Factor -c**3/8 - 77*c**2/8 - 19*c/2.
-c*(c + 1)*(c + 76)/8
Solve 2*a**3 + 526*a**2 + 33782*a - 106134 = 0 for a.
-133, 3
Find f such that -3*f**3/7 + 15243*f**2/7 - 2764971*f - 2767149 = 0.
-1, 2541
Factor -q**4/7 - 127*q**3/7 - 374*q**2/7 - 248*q/7.
-q*(q + 1)*(q + 2)*(q + 124)/7
Factor -5*y**4 - 250*y**3 - 1265*y**2 + 46500*y - 172980.
-5*(y - 6)**2*(y + 31)**2
Let 27*h**4 - 843*h**3 - 3513*h**2 - 2013*h + 630 = 0. Calculate h.
-3, -1, 2/9, 35
Factor o**2/3 - 64*o/3 + 124/3.
(o - 62)*(o - 2)/3
Factor 2*j**4 - 32*j**3 + 138*j**2 - 188*j + 80.
2*(j - 10)*(j - 4)*(j - 1)**2
Solve u**5/9 - 2*u**4/3 + 14*u**3/9 - 16*u**2/9 + u - 2/9 = 0.
1, 2
Suppose 4*g**3/3 - 208*g**2/3 - 428*g/3 - 72 = 0. Calculate g.
-1, 54
Factor -5*s**3 - 35*s**2 - 30*s.
-5*s*(s + 1)*(s + 6)
Solve 3*s**4 - 141*s**3 + 1260*s**2 + 9516*s + 8112 = 0 for s.
-4, -1, 26
Suppose -2*l**4/3 - 16*l**3 - 332*l**2/3 - 176*l - 242/3 = 0. What is l?
-11, -1
Let 10*w**4 + 2685*w**3 + 178205*w**2 - 272025*w + 91125 = 0. What is w?
-135, 1/2, 1
Suppose -20*v**4 - 92*v**3 + 176*v - 64 = 0. Calculate v.
-4, -2, 2/5, 1
Factor 2*j**3/17 + 888*j**2/17 + 131424*j/17 + 6483584/17.
2*(j + 148)**3/17
Factor -g**2/4 + 205*g/4 + 103/2.
-(g - 206)*(g + 1)/4
Let -f**5 - 5*f**4 + 38*f**3 + 262*f**2 + 395*f + 175 = 0. What is f?
-5, -1, 7
Suppose -k**3/4 - 25*k**2/4 - 6*k = 0. What is k?
-24, -1, 0
Determine f, given that -484*f**4/3 - 572*f**3 - 1796*f**2/3 - 212*f - 24 = 0.
-2, -1, -3/11
Let -r**3 - 15*r**2 - 26*r = 0. What is r?
-13, -2, 0
Factor 2*i**2/5 + 8*i/5 + 8/5.
2*(i + 2)**2/5
Solve 2*h**2/11 - 336*h/11 + 14112/11 = 0.
84
Suppose 48*c**5 + 648*c**4 - 1821*c**3 + 1554*c**2 - 477*c + 48 = 0. Calculate c.
-16, 1/4, 1
Factor -3*m**4/2 + 69*m**3/8 - 63*m**2/4 + 15*m/2 + 3.
-3*(m - 2)**3*(4*m + 1)/8
Factor -22*j**2 + 78*j - 36.
-2*(j - 3)*(11*j - 6)
Factor g**4 - 4*g**3 - g**2 + 4*g.
g*(g - 4)*(g - 1)*(g + 1)
Factor -s**2 - 1580*s - 624100.
-(s + 790)**2
Solve -4*l**5 + 20*l**3 - 16*l = 0 for l.
-2, -1, 0, 1, 2
Find a such that 5*a**5 - 85*a**4 - 450*a**3 + 14500*a**2 - 65000*a = 0.
-13, 0, 10
Solve -q**3/7 - 92*q**2/7 - 2116*q/7 = 0 for q.
-46, 0
Factor 5*h**4 - 100*h**3 + 615*h**2 - 880*h - 1600.
5*(h - 8)**2*(h - 5)*(h + 1)
Solve 3*d**2 + 1329*d - 1332 = 0.
-444, 1
Factor q**2/9 + 152*q/9 - 371/3.
(q - 7)*(q + 159)/9
Factor -4*x**2 - 8*x + 12.
-4*(x - 1)*(x + 3)
Let -x**3/5 - 69*x**2/10 - 306*x/5 - 289/10 = 0. What is x?
-17, -1/2
Determine k so that 5*k**5 - 541*k**4 + 14683*k**3 - 2375*k**2 - 14688*k + 2916 = 0.
-1, 1/5, 1, 54
Factor 2*w**4/3 - 194*w**3/3 + 920*w**2/3.
2*w**2*(w - 92)*(w - 5)/3
Factor 2*f**3 + 110*f**2 - 2*f - 110.
2*(f - 1)*(f + 1)*(f + 55)
Factor -2*g**3/5 - 4*g**2/5 + 146*g/5 - 28.
-2*(g - 7)*(g - 1)*(g + 10)/5
Determine c, given that -3*c**5/7 - 9*c**4/7 + 66*c**3/7 + 60*c**2/7 - 72*c + 480/7 = 0.
-5, -4, 2
Determine w so that 169*w**5/3 + 1573*w**4/3 + 5035*w**3/3 + 2001*w**2 + 504*w + 36 = 0.
-3, -2/13
Let -4*t**3 + 4980*t**2 - 2066700*t + 285893500 = 0. Calculate t.
415
Determine t, given that 2*t**3 + 986*t**2 + 121030*t - 122018 = 0.
-247, 1
Find k such that -k**2 - 20*k = 0.
-20, 0
Suppose -18*d**3 - 104*d**2/3 - 46*d/3 + 4/3 = 0. Calculate d.
-1, 2/27
Factor 2*t**5/5 + 14*t**4/5 + 24*t**3/5.
2*t**3*(t + 3)*(t + 4)/5
Let -c**3 - 29*c**2 + 61*c - 31 = 0. What is c?
-31, 1
Factor -z**3/2 - 1745*z**2/2 - 872*z.
-z*(z + 1)*(z + 1744)/2
Factor o**3/4 - 13*o**2/4 - 7*o/2.
o*(o - 14)*(o + 1)/4
Factor -u**3/3 + 29*u**2/3 - 224*u/3 + 196/3.
-(u - 14)**2*(u - 1)/3
Factor -4*c**2 + 16856*c - 17757796.
-4*(c - 2107)**2
Solve -2*c**2/13 - 4*c - 50/13 = 0 for c.
-25, -1
Factor -t**4/2 - 15*t**3/2 + 57*t**2 - 122*t + 84.
-(t - 2)**3*(t + 21)/2
Solve 2*t**4 - 60*t**3 + 486*t**2 - 748*t = 0 for t.
0, 2, 11, 17
Solve 12*p**3/5 - 10309*p**2/5 + 11157*p/5 - 2574/5 = 0.
1/3, 3/4, 858
Factor t**3/4 - t**2/2 - t/4 + 1/2.
(t - 2)*(t - 1)*(t + 1)/4
Factor -r**3/7 - 18*r**2/7 - 72*r/7.
-r*(r + 6)*(r + 12)/7
Factor -5*c**3 + 1155*c**2 - 88935*c + 2282665.
-5*(c - 77)**3
Factor j**2 - 6*j - 16.
(j - 8)*(j + 2)
Suppose -2*z**3/13 - 4*z**2/13 + 14*z/13 - 8/13 = 0. What is z?
-4, 1
Solve -4*f**2 - 3956*f + 7928 = 0.
-991, 2
Determine l, given that -10*l**4/21 - 58*l**3/21 - 110*l**2/21 - 86*l/21 - 8/7 = 0.
-3, -1, -4/5
Find t such that -4*t**3/9 - 14456*t**2/3 - 52243984*t/3 - 188809758176/9 = 0.
-3614
Determine o, given that -2*o**2 + 140*o - 138 = 0.
1, 69
Factor -4*k**3 - 60*k**2 + 132*k + 3388.
-4*(k - 7)*(k + 11)**2
Find u such that -u**3/3 + 24*u**2 + 385*u/3 = 0.
-5, 0, 77
What is f in -10*f**2/9 - 32*f/9 + 10 = 0?
-5, 9/5
Factor 9*v**2/5 + 456*v/5 - 153/5.
3*(v + 51)*(3*v - 1)/5
Let -20*a**4 - 185*a**3 + 135*a**2 + 1665*a + 405 = 0. Calculate a.
-9, -3, -1/4, 3
Let -2*s**4 - 140*s**3 + 146*s**2 + 284*s = 0. Calculate s.
-71, -1,