*m**3 + 3340*m**2 + 6695*m + 3350.
-5*(m - 670)*(m + 1)**2
Factor 2*f**5/15 - 52*f**4/15 + 448*f**3/15 - 256*f**2/3.
2*f**2*(f - 10)*(f - 8)**2/15
Let -5*d**4 - 60*d**3 - 190*d**2 - 60*d + 315 = 0. Calculate d.
-7, -3, 1
Factor -2*a**4/5 + 2*a**3/5.
-2*a**3*(a - 1)/5
Let -2*a**2 - 32*a - 126 = 0. Calculate a.
-9, -7
Factor -3*r**2 + 198*r - 1815.
-3*(r - 55)*(r - 11)
Factor -3*s**4/7 + 66*s**3 - 17316*s**2/7 - 36504*s/7.
-3*s*(s - 78)**2*(s + 2)/7
Let -4*o**3 + 64*o = 0. Calculate o.
-4, 0, 4
Factor -5*c**2/3 + 33620*c/3 - 56515220/3.
-5*(c - 3362)**2/3
Solve -5*c**5 + 5*c**4 + 15*c**3 - 25*c**2 + 10*c = 0.
-2, 0, 1
Factor 4*l**5 + 48*l**4 - 648*l**3 + 2160*l**2 - 2268*l.
4*l*(l - 3)**3*(l + 21)
What is h in -2*h**2/3 + 46*h/3 - 68 = 0?
6, 17
Factor 2*c**5/5 + 12*c**4/5 + 16*c**3/5 - 4*c**2/5 - 18*c/5 - 8/5.
2*(c - 1)*(c + 1)**3*(c + 4)/5
Factor -2*o**2/5 - 58*o/5 + 124/5.
-2*(o - 2)*(o + 31)/5
What is h in -3*h**3/4 + 21*h**2/2 - 105*h/4 + 33/2 = 0?
1, 2, 11
Solve -m**3 + 83*m**2/4 + 21*m/4 = 0.
-1/4, 0, 21
What is d in -2*d**5 - 2*d**4 + 6*d**3 + 2*d**2 - 4*d = 0?
-2, -1, 0, 1
Solve -j**2 + 363*j = 0 for j.
0, 363
Factor -u**2/8 + 9*u - 162.
-(u - 36)**2/8
Let -l**2 + 34*l = 0. What is l?
0, 34
What is y in -2*y**4/13 - 22*y**3 - 13462*y**2/13 - 207866*y/13 = 0?
-53, -37, 0
Determine r, given that 3*r**2/4 + 633*r/2 + 1254 = 0.
-418, -4
Factor -2*x**2 + 258*x + 260.
-2*(x - 130)*(x + 1)
Factor -57*o**2 + 1659*o - 174.
-3*(o - 29)*(19*o - 2)
Factor 5*u**4 + 10*u**3 - 40*u**2.
5*u**2*(u - 2)*(u + 4)
Factor -2*w**3 - 602*w**2 - 2382*w - 1782.
-2*(w + 1)*(w + 3)*(w + 297)
Suppose -2*z**4/7 + 1088*z**3/7 - 198720*z**2/7 + 12441600*z/7 - 46656000/7 = 0. Calculate z.
4, 180
Determine o, given that -3*o**3/4 + 141*o**2/4 + 36*o = 0.
-1, 0, 48
Determine x so that 5*x**3 - 515*x**2 + 1015*x - 505 = 0.
1, 101
Determine j so that -20*j**2/3 + 4372*j + 2624/3 = 0.
-1/5, 656
Find f such that f**3 + 21*f**2 - 22*f = 0.
-22, 0, 1
Factor -2*n**2/3 + 214*n/15 - 28/5.
-2*(n - 21)*(5*n - 2)/15
Solve 4*p**4 - 48*p**3 + 128*p**2 = 0 for p.
0, 4, 8
Let -q**2/4 - 265*q/2 + 266 = 0. What is q?
-532, 2
Let -5*s**2 - 15530*s - 31040 = 0. What is s?
-3104, -2
Factor 2*y**2 + 168*y - 344.
2*(y - 2)*(y + 86)
Suppose -2*h**2/5 + 24*h/5 - 8 = 0. What is h?
2, 10
Solve -2*i**4 - 40*i**3 - 128*i**2 = 0 for i.
-16, -4, 0
Factor t**2/5 + 6*t + 45.
(t + 15)**2/5
Let -9*u**2/4 + 127*u + 203 = 0. Calculate u.
-14/9, 58
Factor 3*t**5/8 - 9*t**4/8 + 3*t**2/2.
3*t**2*(t - 2)**2*(t + 1)/8
Let -p**5/6 - 29*p**4/6 + 377*p**3/6 + 8233*p**2/6 - 45188*p/3 + 40898/3 = 0. Calculate p.
-26, 1, 11
Let -4*n**2/5 - 1176*n/5 - 928 = 0. Calculate n.
-290, -4
Determine j so that j**2/10 + 141*j/5 + 19881/10 = 0.
-141
Suppose -2*u**3/17 + 6*u**2/17 - 6*u/17 + 2/17 = 0. What is u?
1
Determine i so that -36*i**5 - 116*i**4 + 84*i**3 + 420*i**2 + 304*i + 48 = 0.
-3, -1, -2/9, 2
Let -2*i**4 + 68*i**3 - 246*i**2 + 180*i = 0. Calculate i.
0, 1, 3, 30
What is a in -2*a**3/9 - 10*a**2/3 + 8*a/9 + 40/3 = 0?
-15, -2, 2
Determine w, given that 3*w**3 + 96*w**2 - 99*w = 0.
-33, 0, 1
Factor -4*i**3 + 40*i**2 + 44*i.
-4*i*(i - 11)*(i + 1)
Factor 12*u**3 - 777*u**2 - 195*u.
3*u*(u - 65)*(4*u + 1)
Factor 3*x**5/4 - 17*x**4/4 + 21*x**3/4 + 9*x**2/4.
x**2*(x - 3)**2*(3*x + 1)/4
Factor 4*u**3/3 - 10*u**2/3 - 44*u/3 - 10.
2*(u - 5)*(u + 1)*(2*u + 3)/3
Find v such that -3*v**2 + 48*v + 108 = 0.
-2, 18
Suppose -j**3/5 - 9*j**2 + j/5 + 9 = 0. What is j?
-45, -1, 1
Factor -882*v**5/11 - 2562*v**4/11 - 2396*v**3/11 - 636*v**2/11 + 78*v/11 - 2/11.
-2*(v + 1)**3*(21*v - 1)**2/11
Factor -4*z**2/5 - 36*z/5 + 144/5.
-4*(z - 3)*(z + 12)/5
Let n**5 - 8*n**4 + 4*n**3 + 22*n**2 - 5*n - 14 = 0. What is n?
-1, 1, 2, 7
Determine f, given that -3*f**5/8 + 69*f**4/8 + 57*f**3/2 + 39*f**2/2 = 0.
-2, -1, 0, 26
Factor 5*t**2 + 560*t + 15680.
5*(t + 56)**2
Solve -8*m**4 - 14*m**3 + 164*m**2 - 232*m + 48 = 0.
-6, 1/4, 2
Let -16*u**5 + 36*u**4 + 168*u**3 - 236*u**2 - 528*u + 144 = 0. Calculate u.
-2, 1/4, 3
Solve -4*k**4 - 68*k**3 + 172*k**2 + 3092*k + 2856 = 0.
-17, -6, -1, 7
Find j, given that j**4/6 - 9*j**3/2 + 59*j**2/3 - 30*j + 44/3 = 0.
1, 2, 22
Let -3*z**4/4 - 4*z**3 + 17*z**2/4 + 13*z/2 - 6 = 0. What is z?
-6, -4/3, 1
Let -2*h**2 + 172*h - 170 = 0. What is h?
1, 85
Find s such that s**4/4 - s**3/2 - 19*s**2/4 + 17*s - 15 = 0.
-5, 2, 3
Factor 2*h**3 - 28*h**2 - 430*h - 1200.
2*(h - 24)*(h + 5)**2
Let 3*q**4/4 + 3*q**3/2 - 9*q**2 + 21*q/2 - 15/4 = 0. What is q?
-5, 1
Factor -2*w**2.
-2*w**2
Let 5*x**2 + 40*x - 900 = 0. What is x?
-18, 10
Solve -2*n**2/15 + 4*n/3 - 14/5 = 0 for n.
3, 7
Determine b, given that 5*b**5 + 30*b**4 + 60*b**3 + 50*b**2 + 15*b = 0.
-3, -1, 0
Solve -8*b**5/5 + 38*b**4/5 - 14*b**3/5 - 46*b**2/5 + 22*b/5 + 8/5 = 0 for b.
-1, -1/4, 1, 4
Factor 75*q**2/2 - 45*q + 27/2.
3*(5*q - 3)**2/2
Factor -j**4/7 + 4*j**3/7 + 9*j**2/7 - 36*j/7.
-j*(j - 4)*(j - 3)*(j + 3)/7
Factor t**5 - 3*t**3 + 2*t**2.
t**2*(t - 1)**2*(t + 2)
Factor 3*t**4 + 3*t**3 - 9*t**2 - 3*t + 6.
3*(t - 1)**2*(t + 1)*(t + 2)
Factor -4*l**2 - 432*l + 880.
-4*(l - 2)*(l + 110)
Let 3*n**4/7 - 453*n**3/7 - 819*n**2 - 21855*n/7 - 24450/7 = 0. What is n?
-5, -2, 163
Factor 888*w**2 + 124*w - 4.
4*(6*w + 1)*(37*w - 1)
Find s such that 2*s**5 + 50*s**4 + 288*s**3 + 688*s**2 + 736*s + 288 = 0.
-18, -2, -1
Factor -5*h**5 - 20*h**4 - 25*h**3 - 10*h**2.
-5*h**2*(h + 1)**2*(h + 2)
Solve 4*s**3/7 - 36*s**2/7 + 80*s/7 - 48/7 = 0.
1, 2, 6
Factor -3*w**2/4 - 4479*w - 6687147.
-3*(w + 2986)**2/4
Suppose x**4/9 + 988*x**3/9 + 244036*x**2/9 = 0. Calculate x.
-494, 0
Factor 10*x**3 + 444*x**2 + 5016*x + 1936.
2*(x + 22)**2*(5*x + 2)
Find t such that 3*t**2/4 + 2949*t/4 + 1473/2 = 0.
-982, -1
Let -4*x**4 + 8*x**3 + 12*x**2 = 0. Calculate x.
-1, 0, 3
Factor y**4/4 - 77*y**3/2 + 5449*y**2/4 + 9240*y + 14400.
(y - 80)**2*(y + 3)**2/4
Determine c, given that 6*c**3 + 1037*c**2 - 2273*c + 350 = 0.
-175, 1/6, 2
Factor -5*k**3 + 29935*k**2 - 44790240*k - 44820180.
-5*(k - 2994)**2*(k + 1)
Factor -2*z**4 - 112*z**3 - 318*z**2 + 8*z + 424.
-2*(z - 1)*(z + 2)**2*(z + 53)
Factor -28*u**3 - 68*u**2 + 16*u + 80.
-4*(u - 1)*(u + 2)*(7*u + 10)
Find a such that a**3 - 61*a**2 + 476*a - 416 = 0.
1, 8, 52
Determine h, given that 2*h**2 + 184*h + 4232 = 0.
-46
Determine j so that 2*j**3/3 + 86*j**2 + 2816*j + 8192/3 = 0.
-64, -1
Suppose -5*a**5 + 395*a**4 - 1530*a**3 + 2270*a**2 - 1505*a + 375 = 0. Calculate a.
1, 75
Solve -2*w**4 + 10*w**2 - 8 = 0.
-2, -1, 1, 2
Factor 2*y**3 + 10*y**2 - 28*y.
2*y*(y - 2)*(y + 7)
Factor -3*h**5 - 3*h**4 + 324*h**3 - 1680*h**2 + 2496*h.
-3*h*(h - 4)**3*(h + 13)
Factor -m**4 - 38*m**3 - 425*m**2 - 1156*m.
-m*(m + 4)*(m + 17)**2
Determine d so that -7*d**4/10 + 3*d**3 - 43*d**2/10 + 12*d/5 - 2/5 = 0.
2/7, 1, 2
Factor 4*x**3 + 24*x**2 - 144*x + 160.
4*(x - 2)**2*(x + 10)
Suppose -5*a**5 + 350*a**4 - 1320*a**3 = 0. What is a?
0, 4, 66
Solve -i**3/5 + 3*i/5 - 2/5 = 0 for i.
-2, 1
Find l such that -14*l**4/3 - 92*l**3/3 - 118*l**2/3 - 40*l/3 = 0.
-5, -1, -4/7, 0
Let -20*v**4 - 392*v**3 - 860*v**2 + 408*v = 0. Calculate v.
-17, -3, 0, 2/5
Determine n, given that -n**3/10 - 153*n**2/5 = 0.
-306, 0
Suppose 5*u**5 - 95*u**4 + 250*u**3 - 160*u**2 = 0. What is u?
0, 1, 2, 16
Let -4*u**5 + 308*u**4 + 316*u**3 - 308*u**2 - 312*u = 0. What is u?
-1, 0, 1, 78
Find b, given that 7*b**3/5 - 72*b**2/5 + 39*b - 10 = 0.
2/7, 5
Find w, given that -2*w**2 - 1760*w - 387200 = 0.
-440
Let -6*g**4 - 243*g**3 + 1479*g**2 - 1782*g + 552 = 0. What is g?
-46, 1/2, 1, 4
Solve -2*d**3/13 + 30*d**2/13 + 36*d/13 - 64/13 = 0 for d.
-2, 1, 16
Determine k so that -k**3/3 + 31*k**2 + 190*k/3 = 0.
-2, 0, 95
Solve -4*p**4 - 180*p**3 - 3024*p**2 - 22464*p - 62208 = 0.
-12, -9
Let -b**5/5 + b**4 - 7*b**3/5 - b**2/5 + 8*b/5 - 4/5 = 0. What is b?
-1, 1, 2
Factor -5*x**3 - 4290*x**2.
-5*x**2*(x + 858)
Suppose 3*x**4/4 - 6*x**3 + 33*x**2/4 + 6*x - 9 = 0. What is x?
-1, 1, 2, 6
Factor s**3 - 7*s**2 - 8*s.
s*(s - 8)*(s + 1)
Find x, given that -2*x**2 + 368*x + 744 = 0.
-2, 186
What is a in 2*a**4/15 - 16*a**3/15 - 4*a**2/3 + 16*a/15 + 6/5 = 0?
-1, 1, 9
Suppose 4*a**4 - 12*a**3 - 28*a**2 + 108*a - 72 = 0. Calculate a.
-3, 1, 2, 3
Factor 39366*j**4 + 87480*j**3 + 18144*j**2 + 1312*j + 32.
2*(j + 2)*(27*j + 2