3/21 + 296*c**2/3 + 1970*c/21 - 100/3 = 0. What is c?
-5, -1, 2/7, 7/5
Let -2*a**3/7 - 24*a**2/7 + 2*a/7 + 24/7 = 0. What is a?
-12, -1, 1
Determine z so that -3*z**3 + 59*z**2 + 272*z + 284 = 0.
-2, 71/3
Determine n so that -n**2/6 - 32*n/3 = 0.
-64, 0
Suppose d**2/9 - 824*d/9 - 1652/9 = 0. What is d?
-2, 826
Let 10*p**2 - 102*p + 176 = 0. Calculate p.
11/5, 8
Suppose 15*z**2 - 5358*z + 1071 = 0. What is z?
1/5, 357
Solve -m**4 - 35*m**3 - 275*m**2 - 625*m = 0 for m.
-25, -5, 0
Let 4*z**4/7 - 472*z**3/7 + 18720*z**2/7 - 36504*z + 237276/7 = 0. What is z?
1, 39
Determine q so that 2*q**4/15 - 2*q**3/5 - 26*q**2/15 + 2*q = 0.
-3, 0, 1, 5
Solve -2*h**5/7 - 96*h**4/7 - 316*h**3/7 + 1544*h**2/7 - 1746*h/7 + 88 = 0 for h.
-44, -7, 1
What is t in -t**5/5 + 9*t**4/5 - 11*t**3/5 - 29*t**2/5 + 12*t - 28/5 = 0?
-2, 1, 2, 7
Factor 2*y**4 - 4*y**3 - 126*y**2.
2*y**2*(y - 9)*(y + 7)
Solve -2*u**3/5 - 142*u**2/5 - 668*u/5 - 528/5 = 0.
-66, -4, -1
Let -b**4/3 - 16*b**3/3 - 24*b**2 - 128*b/3 - 80/3 = 0. What is b?
-10, -2
Find j, given that 10*j**4 - 12*j**3 + 2*j**2 = 0.
0, 1/5, 1
Factor -2*q**2/7 + 148*q/7 - 426/7.
-2*(q - 71)*(q - 3)/7
Let q**5 - 2*q**4 - q**3 + 2*q**2 = 0. Calculate q.
-1, 0, 1, 2
Let -2*z**2 + 664*z = 0. What is z?
0, 332
Factor d**2/8 - 31*d/2.
d*(d - 124)/8
What is y in 25*y**5 + 190*y**4 - 584*y**3 - 3056*y**2 + 11152*y - 9248 = 0?
-34/5, 2
Determine j so that -j**4/3 + 10*j**3/3 - 7*j**2/3 - 6*j = 0.
-1, 0, 2, 9
Factor 165*f**3/7 - 93*f**2 + 624*f/7 + 36/7.
3*(f - 2)**2*(55*f + 3)/7
Let 2*k**4 + 92*k**3 = 0. Calculate k.
-46, 0
Factor 4*y**4/11 + 6*y**3/11 + 2*y**2/11.
2*y**2*(y + 1)*(2*y + 1)/11
Solve -i**3/4 - 7*i**2/4 = 0 for i.
-7, 0
Factor z**2 + 230*z - 464.
(z - 2)*(z + 232)
Factor 10*k**3 - 138*k**2 + 3078*k/5 - 4374/5.
2*(k - 3)*(5*k - 27)**2/5
Let -w**2/9 - 1888*w/9 - 891136/9 = 0. What is w?
-944
Find q, given that 4*q**5 + 148*q**4 + 284*q**3 + 140*q**2 = 0.
-35, -1, 0
Solve 2*y**3 - 26*y**2 + 80*y - 72 = 0.
2, 9
Solve 9826*q**4 - 45662*q**3 - 16932*q**2 - 2024*q - 80 = 0 for q.
-2/17, 5
Determine p so that -17625*p**2 + 7100*p - 20 = 0.
2/705, 2/5
Factor -3*y**2/5 - 186*y/5 + 189/5.
-3*(y - 1)*(y + 63)/5
Suppose w**2/2 - 341*w + 116281/2 = 0. Calculate w.
341
Factor -100*r**3 - 940*r**2 + 1696*r - 704.
-4*(r + 11)*(5*r - 4)**2
Let h**2 + 73*h - 74 = 0. Calculate h.
-74, 1
Factor -n**4/4 - 7*n**3/4 + 27*n**2/4 - 29*n/4 + 5/2.
-(n - 1)**3*(n + 10)/4
Factor r**3/4 + 553*r**2/2.
r**2*(r + 1106)/4
Factor v**5 - 7*v**4 + 17*v**3 - 17*v**2 + 6*v.
v*(v - 3)*(v - 2)*(v - 1)**2
Find z such that -2*z**4/7 - 8*z**3/7 - 10*z**2/7 - 4*z/7 = 0.
-2, -1, 0
Solve 5*m**4 - 1195*m**3 - 3620*m**2 - 2420*m = 0 for m.
-2, -1, 0, 242
Factor 8*b**3/13 + 22*b**2/13 + 10*b/13 - 4/13.
2*(b + 1)*(b + 2)*(4*b - 1)/13
Factor 2*g**3 - 1860*g**2 + 576600*g - 59582000.
2*(g - 310)**3
Determine w so that 2*w**3/3 - 36*w**2 + 1198*w/3 - 364 = 0.
1, 14, 39
Solve 3*w**2/2 - 177*w - 357/2 = 0 for w.
-1, 119
Factor 2*o**2/9 - 64*o/9.
2*o*(o - 32)/9
Factor -5*q**2 + 4310*q - 928805.
-5*(q - 431)**2
Factor 16*z**2/3 + 332*z/3 - 28.
4*(z + 21)*(4*z - 1)/3
Find m such that -15*m**4 - 65*m**3 + 260*m**2 - 140*m = 0.
-7, 0, 2/3, 2
Find r, given that -r**3/4 + 139*r**2/4 - 2195*r/4 + 2057/4 = 0.
1, 17, 121
Factor 4*k**3/3 - 8*k**2 + 20*k/3.
4*k*(k - 5)*(k - 1)/3
Let 36*z**5 - 156*z**4 + 28*z**3 + 76*z**2 + 16*z = 0. Calculate z.
-1/3, 0, 1, 4
What is x in 4*x**3/5 - 1004*x**2/5 + 200*x = 0?
0, 1, 250
Factor -3*h**4 + 60*h**3 + 81*h**2 - 1782*h + 3240.
-3*(h - 20)*(h - 3)**2*(h + 6)
Factor -2*q**2/3 - 634*q/3 + 1276/3.
-2*(q - 2)*(q + 319)/3
Factor -40*q**4 - 115*q**3 + 415*q**2 - 50*q.
-5*q*(q - 2)*(q + 5)*(8*q - 1)
Suppose -5*m**2 + 30*m - 40 = 0. What is m?
2, 4
Factor -2*y**3 - 30*y**2 - 100*y.
-2*y*(y + 5)*(y + 10)
What is y in -3*y**4/7 - 108*y**3/7 - 162*y**2 - 588*y - 441 = 0?
-21, -7, -1
Suppose 195*d**5 + 2544*d**4 + 10836*d**3 + 15042*d**2 + 345*d - 450 = 0. Calculate d.
-5, -3, -1/5, 2/13
Factor 15*b**3/2 - 175*b**2 + 670*b/3 - 220/3.
5*(b - 22)*(3*b - 2)**2/6
Find f such that 3*f**2 - 33*f - 2178 = 0.
-22, 33
Let -3*n**3/8 - 33*n**2 - 255*n/2 - 126 = 0. Calculate n.
-84, -2
Suppose j**2/6 + 29*j + 2523/2 = 0. Calculate j.
-87
Factor 4*x**2 - 380*x - 776.
4*(x - 97)*(x + 2)
Factor 15*k**5 - 54*k**4 + 72*k**3 - 42*k**2 + 9*k.
3*k*(k - 1)**3*(5*k - 3)
Solve -2*b**4/9 + 86*b**3 - 24832*b**2/3 - 75272*b/9 = 0.
-1, 0, 194
Suppose -o**2/8 - 29*o/2 - 841/2 = 0. What is o?
-58
Factor w**2/3 - 4*w/3 - 4.
(w - 6)*(w + 2)/3
Factor 21*s**2 + 187*s - 18.
(s + 9)*(21*s - 2)
Factor -18*z**2 + 69*z - 45.
-3*(z - 3)*(6*z - 5)
Suppose -f**5/2 + 9*f**4/4 - 2*f**3 - 3*f**2/2 + 5*f/2 - 3/4 = 0. Calculate f.
-1, 1/2, 1, 3
Solve -3*h**5/4 - 17*h**4/4 - 27*h**3/4 - 7*h**2/4 + 3*h/2 = 0 for h.
-3, -2, -1, 0, 1/3
What is l in 45*l**2 + 910*l + 200 = 0?
-20, -2/9
Factor -3*k**2/5 + 27876*k/5 - 64755948/5.
-3*(k - 4646)**2/5
Let -16562*o**2 + 1820*o - 50 = 0. Calculate o.
5/91
What is j in 5*j**4/6 - j**3/6 - 3*j**2/2 + j/6 + 2/3 = 0?
-1, -4/5, 1
Factor f**5 - 25*f**4/4 + 3*f**3/2.
f**3*(f - 6)*(4*f - 1)/4
Factor t**3/2 - 3*t**2 + 11*t/2 - 3.
(t - 3)*(t - 2)*(t - 1)/2
Factor 4*c**3 - 16*c**2 - 12*c + 72.
4*(c - 3)**2*(c + 2)
Suppose -2*f**4/5 + 19*f**3/5 - 44*f**2/5 + 9*f/5 + 18/5 = 0. Calculate f.
-1/2, 1, 3, 6
Suppose 2*p**2 - 232*p + 6728 = 0. Calculate p.
58
Determine b, given that 10*b**3/11 + 78*b**2/11 + 68*b/11 = 0.
-34/5, -1, 0
Solve s**2/2 - 894*s + 399618 = 0 for s.
894
Factor 4*v**2 + 16*v.
4*v*(v + 4)
Solve 20*c**2 + 136*c - 28 = 0 for c.
-7, 1/5
Suppose 3*a**3/4 - 9*a**2/2 + 27*a/4 = 0. Calculate a.
0, 3
Factor -3*l**4 + 12*l**3 + 105*l**2 - 450*l.
-3*l*(l - 5)**2*(l + 6)
Suppose 15*m**5 - 33*m**4 - 129*m**3 + 57*m**2 + 114*m - 24 = 0. Calculate m.
-2, -1, 1/5, 1, 4
Find w such that -6483584*w**3/19 + 131424*w**2 - 16872*w + 722 = 0.
19/148
Determine h, given that 4*h**5/3 + h**4/3 - 4*h**3 - 11*h**2/3 - 2*h/3 = 0.
-1, -1/4, 0, 2
Factor 4*u**2/7 + 3180*u/7 + 6344/7.
4*(u + 2)*(u + 793)/7
Find j, given that 3*j**4 - 616*j**3 - 1033*j**2 - 414*j = 0.
-1, -2/3, 0, 207
Factor 3*h**4/7 + 12*h**3/7 - 9*h**2/7 - 30*h/7 + 24/7.
3*(h - 1)**2*(h + 2)*(h + 4)/7
Suppose 2*t**4 - 64*t**3 + 444*t**2 + 1088*t + 578 = 0. What is t?
-1, 17
Find s, given that -5*s**4 + 135*s**3 - 1260*s**2 + 4860*s - 6480 = 0.
3, 6, 12
Find u, given that 5*u**5 - 100*u**4 + 765*u**3 - 2810*u**2 + 4960*u - 3360 = 0.
2, 3, 4, 7
Factor 27*d**5 + 60*d**4 + 39*d**3 + 6*d**2.
3*d**2*(d + 1)**2*(9*d + 2)
Solve -81*n**5/7 - 16470*n**4/7 + 44280*n**3/7 - 44400*n**2/7 + 19760*n/7 - 3296/7 = 0.
-206, 2/3
Let -l**4/8 + 11*l**3/4 - 121*l**2/8 = 0. What is l?
0, 11
Factor w**2/6 - 2*w/3 - 7/2.
(w - 7)*(w + 3)/6
Determine v, given that -3*v**2/7 + 1830*v/7 + 3672/7 = 0.
-2, 612
Factor 9*p**4 - 273*p**3 + 2200*p**2 - 1936*p.
p*(p - 1)*(3*p - 44)**2
Factor 722*y**3/5 - 323304*y**2/5 - 68088*y/5 - 3584/5.
2*(y - 448)*(19*y + 2)**2/5
Factor i**2 + 182*i + 8281.
(i + 91)**2
Factor -7*w**2 - 205*w - 58.
-(w + 29)*(7*w + 2)
Solve -n**5/2 + 401*n**4/4 + 1419*n**3/4 + 1831*n**2/4 + 1019*n/4 + 51 = 0.
-1, -1/2, 204
Solve 2*p**2/7 - 192*p/7 + 376/7 = 0.
2, 94
Suppose d**4/3 + 35*d**3/3 + 323*d**2/3 + 289*d/3 = 0. Calculate d.
-17, -1, 0
Factor 2*u**5 - 8*u**4 + 8*u**3 + 4*u**2 - 10*u + 4.
2*(u - 2)*(u - 1)**3*(u + 1)
Factor 6*p**3/5 + 105*p**2 + 777*p/5 + 258/5.
3*(p + 1)*(p + 86)*(2*p + 1)/5
Suppose -12*w**3 - 44*w**2 - 20*w + 12 = 0. Calculate w.
-3, -1, 1/3
Factor 2*r**3/5 - 28*r**2/5 - 274*r/5 - 84.
2*(r - 21)*(r + 2)*(r + 5)/5
Solve 2*y**3 + 110*y**2 - 112*y = 0 for y.
-56, 0, 1
Factor 2*c**5 + 98*c**4 + 1628*c**3 + 9536*c**2 + 5120*c - 16384.
2*(c - 1)*(c + 2)*(c + 16)**3
Suppose j**5/5 - 2*j**4/5 - j**3/5 + 2*j**2/5 = 0. Calculate j.
-1, 0, 1, 2
Find y, given that 3*y**4 - 60*y**3 + 45*y**2 + 240*y - 228 = 0.
-2, 1, 2, 19
Factor -3*q**3/2 + 375*q**2/2 - 4809*q/2 + 16317/2.
-3*(q - 111)*(q - 7)**2/2
Determine b, given that -100*b**5 + 2080*b**4 - 9316*b**3 - 3320*b**2 + 6608*b - 1568 = 0.
-1, 2/5, 7, 14
Determine l so that 56700*l**3 + 720*l**2 + 16*l/7 = 0.
-2/315, 0
Determine m so that 490*m**2 + 2932*m/3 - 16/3 = 0.
-2, 4/735
Let 49*y**4/5 - 49*y**3 - 298*y**2/5 + 4*y + 24/5 = 0. Calculate y.
-1, -2/7, 2/7, 6
Factor