1, 3
Factor -2*q**4/9 - 20*q**3/3 - 38*q**2/3 - 56*q/9.
-2*q*(q + 1)**2*(q + 28)/9
What is g in -5*g**2 + 3100*g - 480500 = 0?
310
Factor 15*y**2 + 985*y + 650.
5*(y + 65)*(3*y + 2)
Determine w so that -4*w**2 + 900*w - 15656 = 0.
19, 206
Factor 4*x**3 + 124*x**2 + 232*x.
4*x*(x + 2)*(x + 29)
Factor 2*v**3/15 - 118*v**2/5 + 6962*v/5 - 410758/15.
2*(v - 59)**3/15
Let -4*k**2 - 372*k = 0. What is k?
-93, 0
Find r, given that -2*r**3/15 + 1598*r**2/5 - 956802*r/5 - 2875202/15 = 0.
-1, 1199
Find n, given that -5*n**2/2 - 255*n/2 - 245 = 0.
-49, -2
Factor -m**2/2 - 14*m + 29/2.
-(m - 1)*(m + 29)/2
Determine r so that -r**4 - 87*r**3/4 + 161*r**2/2 - 75*r/4 = 0.
-25, 0, 1/4, 3
Find a such that -2*a**2 - 596*a = 0.
-298, 0
Solve 2*u**2/7 + 426*u/7 = 0.
-213, 0
Solve 2*b**2/13 - 6*b/13 - 20 = 0.
-10, 13
Find b, given that 4*b**4 - 1108*b**3 + 2204*b**2 - 1100*b = 0.
0, 1, 275
Suppose 2*o**5 - 6*o**3 + 4*o**2 = 0. Calculate o.
-2, 0, 1
Find a such that -a**3/6 - 107*a**2/6 - 208*a/3 - 206/3 = 0.
-103, -2
Suppose 2*o**4/3 + 152*o**3/3 + 50*o**2 = 0. What is o?
-75, -1, 0
Factor 2*m**4/5 + 26*m**3/5 + 32*m**2/5 - 384*m/5.
2*m*(m - 3)*(m + 8)**2/5
Factor -5*s**4 + 60*s**3 - 50*s**2 - 60*s + 55.
-5*(s - 11)*(s - 1)**2*(s + 1)
Factor -5*b**3 + 300*b**2 + 620*b.
-5*b*(b - 62)*(b + 2)
Suppose -q**3 - 9*q**2/5 - 3*q/5 + 1/5 = 0. What is q?
-1, 1/5
What is f in 3*f**2/2 + 711*f/2 + 4683 = 0?
-223, -14
Suppose 3*y**5/2 - 33*y**4 - 123*y**3/2 + 543*y**2 + 1734*y + 1380 = 0. Calculate y.
-2, 5, 23
Suppose o**5/5 - 8*o**4/5 + 22*o**3/5 - 24*o**2/5 + 9*o/5 = 0. What is o?
0, 1, 3
Let 3*t**2 + 6*t - 72 = 0. What is t?
-6, 4
Solve -4*i**5 + 32*i**4 - 60*i**3 - 32*i**2 + 64*i = 0.
-1, 0, 1, 4
Suppose -2*g**3/3 + 98*g**2/3 - 426*g + 1674 = 0. What is g?
9, 31
Factor -g**2 + 11*g/6 + 5/3.
-(2*g - 5)*(3*g + 2)/6
Let 2*s**2/9 - 988*s/9 + 122018/9 = 0. What is s?
247
What is i in i**3/2 - 99*i**2/2 + 1452*i - 13310 = 0?
22, 55
Solve -6*y**3 + 382*y**2 - 758*y/3 + 42 = 0.
1/3, 63
Factor -20*p**3/9 + 112*p**2/9 - 112*p/9 - 64/9.
-4*(p - 4)*(p - 2)*(5*p + 2)/9
Factor 5*n**3 + 1185*n**2 + 6975*n + 10395.
5*(n + 3)**2*(n + 231)
Factor 4*j**2 + 492*j + 488.
4*(j + 1)*(j + 122)
Suppose 3*b**5/2 + 1839*b**4 - 48141*b**3/2 + 111342*b**2 - 208056*b + 118944 = 0. Calculate b.
-1239, 1, 4
Factor a**2/8 + a/2 - 3/2.
(a - 2)*(a + 6)/8
Determine h so that h**3/6 - 118*h**2/3 + 13685*h/6 + 14161/3 = 0.
-2, 119
Factor -2*q**3/7 - 22*q**2/7 - 38*q/7 - 18/7.
-2*(q + 1)**2*(q + 9)/7
Solve 243*n**4/2 - 15903*n**3/2 + 11292*n**2 - 3846*n + 384 = 0.
2/9, 1, 64
Factor v**3/8 - 23*v**2/8 + 171*v/8 - 405/8.
(v - 9)**2*(v - 5)/8
Suppose 3*u**4/2 + 153*u**3/2 + 1323*u**2/2 - 3117*u/2 + 819 = 0. What is u?
-39, -14, 1
Factor 4*i**3/9 + 2*i**2/9 - 16*i/9 - 8/9.
2*(i - 2)*(i + 2)*(2*i + 1)/9
Determine t so that -45*t**5 + 276*t**4 - 441*t**3 + 234*t**2 - 24*t = 0.
0, 2/15, 1, 4
Find c such that 4*c**5/9 - 28*c**4 + 1672*c**3/3 - 25168*c**2/9 - 42592*c/3 = 0.
-3, 0, 22
What is k in 3*k**4 - 30*k**3 - 81*k**2 + 108*k = 0?
-3, 0, 1, 12
What is p in 4*p**4 + 2*p**3 - 22*p**2 + 22*p - 6 = 0?
-3, 1/2, 1
Factor 4*z**4 - 162*z**3 + 1680*z**2 - 800*z.
2*z*(z - 20)**2*(2*z - 1)
What is b in b**2 - 6*b - 27 = 0?
-3, 9
Factor 15*n**2 - 175*n + 110.
5*(n - 11)*(3*n - 2)
Factor 3*n**4/2 + 9*n**3 - 45*n**2/2 - 150*n.
3*n*(n - 4)*(n + 5)**2/2
Determine u, given that 4*u**2 + 40*u - 96 = 0.
-12, 2
Factor 2*k**3 + 3848*k**2 - 7702*k + 3852.
2*(k - 1)**2*(k + 1926)
Solve -33*f**3/4 - 210*f**2 - 1581*f/4 - 387/2 = 0 for f.
-258/11, -1
Find s such that -5*s**2 - 125*s - 720 = 0.
-16, -9
What is v in -5*v**3 + 50*v**2 + 455*v + 400 = 0?
-5, -1, 16
Suppose -68*v**2 + 888*v - 52 = 0. What is v?
1/17, 13
Find u, given that 3*u**5/7 - 6*u**4/7 - 90*u**3/7 + 96*u**2/7 + 87*u/7 - 90/7 = 0.
-5, -1, 1, 6
Determine a, given that -a**4 - 2*a**3 + 5*a**2 + 6*a = 0.
-3, -1, 0, 2
What is s in -3*s**4 + 129*s**3/2 - 57*s**2/2 - 129*s/2 + 63/2 = 0?
-1, 1/2, 1, 21
Factor -i**3/4 + 3*i**2/4 + 45*i/4 + 81/4.
-(i - 9)*(i + 3)**2/4
Factor -2*k**2/5 + 14*k + 588/5.
-2*(k - 42)*(k + 7)/5
Suppose -4*u**2/5 + 300*u - 2984/5 = 0. Calculate u.
2, 373
Suppose -2*b**4/9 - 14*b**3/9 + 16*b**2/9 = 0. What is b?
-8, 0, 1
Let -2*l**2/23 - 6*l/23 - 4/23 = 0. Calculate l.
-2, -1
Find i, given that 2*i**3/7 + 4*i**2 - 2*i/7 - 4 = 0.
-14, -1, 1
Let -q**3/2 - 14*q**2 - 221*q/2 - 169 = 0. What is q?
-13, -2
Factor b**2 - 328*b + 26896.
(b - 164)**2
Let 2*i**4 - 132*i**3 + 3242*i**2 - 35112*i + 141512 = 0. Calculate i.
14, 19
Suppose -6*m**5 - 135*m**4 + 75*m**3 + 135*m**2 - 69*m = 0. Calculate m.
-23, -1, 0, 1/2, 1
Factor -28*g**2/3 - 114008*g/3 + 32576/3.
-4*(g + 4072)*(7*g - 2)/3
Suppose 5*c**4 + 600*c**3 + 23000*c**2 + 300000*c + 1250000 = 0. What is c?
-50, -10
Determine h, given that 2*h**4/11 + 6*h**3/11 - 36*h**2/11 + 8*h/11 + 48/11 = 0.
-6, -1, 2
Factor -2*f**4 - 32*f**3 - 78*f**2 + 8*f + 104.
-2*(f - 1)*(f + 2)**2*(f + 13)
Factor -2*m**4/5 - 68*m**3/5 + 14*m**2.
-2*m**2*(m - 1)*(m + 35)/5
Factor -4*u**2 - 260*u.
-4*u*(u + 65)
Determine n, given that n**5/2 - 9*n**4/2 - 57*n**3/2 + 65*n**2/2 = 0.
-5, 0, 1, 13
Factor -n**2 - 678*n - 114921.
-(n + 339)**2
Factor -4*b**2 - 756*b - 752.
-4*(b + 1)*(b + 188)
Determine g so that g**3/5 + 22*g**2/5 + 96*g/5 = 0.
-16, -6, 0
Factor 2*j**2/3 - 6*j - 20/3.
2*(j - 10)*(j + 1)/3
Factor 3*m**5 + 33*m**4 + 21*m**3 - 441*m**2.
3*m**2*(m - 3)*(m + 7)**2
Solve 5*j**2 - 1020*j - 1025 = 0 for j.
-1, 205
Determine n so that 6*n**2 - 190*n - 64 = 0.
-1/3, 32
Solve -2*z**3/7 + 2*z**2 + 48*z/7 - 360/7 = 0 for z.
-5, 6
Find s, given that 2*s**3 + 90*s**2 - 284*s + 192 = 0.
-48, 1, 2
Let 2*q**4/3 + 40*q**3/3 + 236*q**2/3 + 120*q + 54 = 0. Calculate q.
-9, -1
Factor -o**4/3 + o**3/3 + 8*o**2/3 - 4*o.
-o*(o - 2)**2*(o + 3)/3
Solve t**3 - 60*t**2 = 0.
0, 60
Factor p**3 + 15*p**2 + 12*p - 28.
(p - 1)*(p + 2)*(p + 14)
Find w such that 2*w**2/3 + 354*w - 2132/3 = 0.
-533, 2
Factor 4*s**2 + 232*s + 228.
4*(s + 1)*(s + 57)
Let d**3 + 2074*d**2 + 1075369*d = 0. What is d?
-1037, 0
Solve -3*p**2/4 - 123*p/4 - 30 = 0 for p.
-40, -1
Factor -2*a**3/5 + 18*a**2/5 + 204*a/5 + 64.
-2*(a - 16)*(a + 2)*(a + 5)/5
Factor 3*t**4/7 + 9*t**3/7 + 3*t**2/7 - 9*t/7 - 6/7.
3*(t - 1)*(t + 1)**2*(t + 2)/7
Suppose 9*b**4 - 75*b**3 + 69*b**2 + 435*b - 150 = 0. What is b?
-2, 1/3, 5
Determine y, given that -4*y**4 - 1456*y**3 - 5780*y**2 - 7208*y - 2880 = 0.
-360, -2, -1
What is t in -2*t**3/13 + 178*t**2/13 - 680*t/13 = 0?
0, 4, 85
Find o, given that -o**2/2 + 3*o/2 + 9 = 0.
-3, 6
Determine z so that 2*z**5/17 + 20*z**4/17 - 336*z**3/17 + 1216*z**2/17 - 1280*z/17 = 0.
-20, 0, 2, 4
Determine r so that r**2/10 - 18*r/5 + 34/5 = 0.
2, 34
What is q in 3*q**4 + 30*q**3 + 51*q**2 + 24*q = 0?
-8, -1, 0
Factor -3*r**2 - 285*r - 558.
-3*(r + 2)*(r + 93)
Suppose -3*k**3 + 99*k**2 + 936*k + 1968 = 0. What is k?
-4, 41
Determine g so that 36*g**4 + 172*g**3 + 32*g**2 - 304*g + 64 = 0.
-4, -2, 2/9, 1
Find j such that -2*j**4 + 66*j**3 - 114*j**2 - 322*j + 372 = 0.
-2, 1, 3, 31
Suppose -w**4/2 + 67*w**3/2 - 1155*w**2/2 + 1089*w/2 = 0. What is w?
0, 1, 33
Suppose 3*l**5/8 + 9*l**4/8 - 39*l**3/8 - 81*l**2/8 + 27*l/2 = 0. What is l?
-4, -3, 0, 1, 3
Solve -2*y**2/7 - 6*y/7 + 20/7 = 0.
-5, 2
Factor -l**3 + 35*l**2/3 - 32*l - 12.
-(l - 6)**2*(3*l + 1)/3
Factor a**2/10 - 3843*a/10 - 1922/5.
(a - 3844)*(a + 1)/10
Factor 3*z**2/7 - 16344*z/7 + 22260528/7.
3*(z - 2724)**2/7
Factor -16*d**3 + 170*d**2 - 514*d + 360.
-2*(d - 4)*(d - 1)*(8*d - 45)
Factor 3*f**3 + 6*f**2 - 9*f.
3*f*(f - 1)*(f + 3)
Factor j**2/8 - 3*j/4 + 1.
(j - 4)*(j - 2)/8
Suppose -2*o**4/3 - 145*o**3/3 + 73*o**2/3 = 0. What is o?
-73, 0, 1/2
Find j such that j**4/4 - j**3 - 93*j**2/2 - 161*j + 833/4 = 0.
-7, 1, 17
Factor -5*g**3 - 15*g**2 + 225*g - 405.
-5*(g - 3)**2*(g + 9)
Find i, given that -4*i**4 + 20*i**3 + 32*i**2 - 48*i = 0.
-2, 0, 1, 6
Find t such that 4*t**3/9 - 280*t**2/3 + 2788*t - 203456/9 = 0.
17, 176
Factor 4*p**2 - 157*p + 39.
(p - 39)*(4*p - 1)
Factor -2*h**2/9 + 8020*h/3 - 8040050.
-2*(h - 6015)**2/9
Factor 5*m**4 + 130*m**3 - 480*m**2 - 1330*m - 725.
5*(m - 5)*(m + 1)**2*(m + 29)
Factor 6*a**2/11 - 14*a/11 - 12/11.
2*(a - 3)*(3*a + 2)/11
Find x, given that 4*x**3/3 - 3076*x**2 + 1775620*x - 5317