50*r**2 + 85*r - 40 = 0.
1, 8
Determine i so that -5*i**4 + 400*i**3 + 815*i**2 + 410*i = 0.
-1, 0, 82
Determine m so that 2*m**2 - 66*m = 0.
0, 33
What is b in -8*b**5/7 - 116*b**4/7 - 172*b**3/7 + 1772*b**2/7 - 2124*b/7 + 648/7 = 0?
-9, 1/2, 1, 2
Determine b, given that -2*b**5 + 10*b**4 + 18*b**3 - 98*b**2 + 16*b + 120 = 0.
-3, -1, 2, 5
Solve 8*g**5/7 + 66*g**4/7 + 16*g**3 - 232*g**2/7 - 576*g/7 - 128/7 = 0.
-4, -2, -1/4, 2
Factor -2*l**3 - 4*l**2 + 16*l.
-2*l*(l - 2)*(l + 4)
Factor -4*k**2 + 168*k + 172.
-4*(k - 43)*(k + 1)
Factor -24*c**3/5 + 1401*c**2/5 - 522*c/5.
-3*c*(c - 58)*(8*c - 3)/5
Factor -3*y**2 - 447*y + 450.
-3*(y - 1)*(y + 150)
Factor 2*j**3/9 + 4*j**2/9 - 2*j/9 - 4/9.
2*(j - 1)*(j + 1)*(j + 2)/9
Solve -3*i**2 + 6*i - 3 = 0 for i.
1
Suppose 12*j**4 - 39*j**3 - 63*j**2 + 114*j - 24 = 0. What is j?
-2, 1/4, 1, 4
What is m in -6*m**3 - 136*m**2 - 214*m - 84 = 0?
-21, -1, -2/3
Factor 2*z**4/5 + 6*z**3/5 - 8*z**2/5.
2*z**2*(z - 1)*(z + 4)/5
Suppose 2*s**5/15 + 122*s**4/15 + 1646*s**3/15 - 2414*s**2/5 - 4992*s/5 + 18432/5 = 0. Calculate s.
-32, -3, 3
Let 28*q**5 + 664*q**4 + 256*q**3 - 43136*q**2 + 126976*q - 32768 = 0. Calculate q.
-16, 2/7, 4
Find y, given that 12*y**5 + 237*y**4 - 93*y**3 - 678*y**2 - 360*y = 0.
-20, -1, -3/4, 0, 2
Factor o**3/4 - 49*o**2 + 2496*o - 9216.
(o - 96)**2*(o - 4)/4
Find p such that 2*p**5/15 - 68*p**4/15 + 128*p**3/15 + 4*p**2/15 - 26*p/3 + 64/15 = 0.
-1, 1, 32
Solve 4*y**3 + 248*y**2 - 2780*y + 7200 = 0.
-72, 5
Factor -z**3/3 - 449*z**2.
-z**2*(z + 1347)/3
Factor -5*d**2 - 530*d - 525.
-5*(d + 1)*(d + 105)
Let -2*q**3/5 + 24*q**2/5 - 18*q + 20 = 0. What is q?
2, 5
Determine h, given that -108*h**5 + 4104*h**4 - 41940*h**3 + 73256*h**2 - 46512*h + 10080 = 0.
2/3, 15, 21
Suppose -i**4 + 206*i**3 + 624*i**2 + 626*i + 209 = 0. What is i?
-1, 209
Factor -2*g**2/5 - 34*g/5.
-2*g*(g + 17)/5
Let 3*j**3/2 + 9*j**2/2 - 9*j - 12 = 0. Calculate j.
-4, -1, 2
Find w such that 3*w**2 + 225*w - 228 = 0.
-76, 1
Factor -3*z**2 - 84*z - 81.
-3*(z + 1)*(z + 27)
Factor -28*q**2 + 536*q - 1696.
-4*(q - 4)*(7*q - 106)
Factor r**2/5 - 13*r/5 + 42/5.
(r - 7)*(r - 6)/5
Determine u, given that 5*u**3/3 - 35*u**2/3 - 5*u/3 + 35/3 = 0.
-1, 1, 7
Solve 2*h**3/5 + 10*h**2 + 176*h/5 + 168/5 = 0 for h.
-21, -2
Suppose 3*w**5/5 + 648*w**4/5 - 6*w**3/5 - 1296*w**2/5 + 3*w/5 + 648/5 = 0. Calculate w.
-216, -1, 1
What is s in -3*s**5/7 + 9*s**4/7 + 3*s**3/7 - 33*s**2/7 + 36*s/7 - 12/7 = 0?
-2, 1, 2
Determine k so that -k**3/2 - 25*k**2/2 - 143*k/2 + 169/2 = 0.
-13, 1
Let -2*q**3/19 - 14*q**2/19 + 168*q/19 + 576/19 = 0. What is q?
-12, -3, 8
Suppose 2*r**5 - 22*r**4 - 30*r**3 + 70*r**2 + 28*r - 48 = 0. Calculate r.
-2, -1, 1, 12
Factor -x**4 - 19*x**3 - 57*x**2 + 63*x + 270.
-(x - 2)*(x + 3)**2*(x + 15)
Suppose -3*y**2 - 2634*y - 578163 = 0. Calculate y.
-439
Suppose 3*p**4/5 - 11*p**3/5 + 3*p**2/5 + 11*p/5 - 6/5 = 0. What is p?
-1, 2/3, 1, 3
Find f such that 2*f**3/5 - 16*f**2 + 362*f/5 - 84 = 0.
2, 3, 35
Factor -4*y**2/7 + y/7 + 5/7.
-(y + 1)*(4*y - 5)/7
Factor 2*y**4 + 16*y**3 + 30*y**2 - 16*y - 32.
2*(y - 1)*(y + 1)*(y + 4)**2
Determine l so that 14*l**3 + 15534*l**2 + 62112*l/7 + 8872/7 = 0.
-1109, -2/7
Solve 3*g**3/2 + 1323*g**2/2 + 1971*g = 0 for g.
-438, -3, 0
Factor -2*j**2/7 + 2194*j/7 + 2196/7.
-2*(j - 1098)*(j + 1)/7
Factor 3*u**4 - 24*u**3 + 24*u**2 + 96*u - 144.
3*(u - 6)*(u - 2)**2*(u + 2)
Determine q so that 5*q**2 + 5*q = 0.
-1, 0
Factor -4*t**2/9 + 188*t/9 - 1120/9.
-4*(t - 40)*(t - 7)/9
Factor n**2/2 - 4*n + 6.
(n - 6)*(n - 2)/2
Factor 2*p**2 + 576*p - 578.
2*(p - 1)*(p + 289)
Factor -k**2/4 + 20*k - 400.
-(k - 40)**2/4
Let -8*p**4 - 3724*p**3 - 432448*p**2 + 217156*p = 0. What is p?
-233, 0, 1/2
Factor i**3/5 + 43*i**2/5 + 38*i.
i*(i + 5)*(i + 38)/5
Factor -b**2/6 - 2*b - 9/2.
-(b + 3)*(b + 9)/6
Suppose 2*t**2/7 - 1956*t/7 + 478242/7 = 0. What is t?
489
Factor -2*m**2 + 146*m - 1364.
-2*(m - 62)*(m - 11)
Solve -v**2/5 - 622*v/5 - 96721/5 = 0 for v.
-311
Determine y, given that -y**4 - 7*y**3 - 16*y**2 - 12*y = 0.
-3, -2, 0
Solve 4*d**4 - 232*d**3 + 3792*d**2 - 12312*d + 8748 = 0 for d.
1, 3, 27
Solve 4*x**2 + 8*x + 4 = 0 for x.
-1
Find m, given that m**5/4 - 25*m**4 - 3*m**3/4 + 151*m**2/2 - 50*m = 0.
-2, 0, 1, 100
Suppose 3*u**3 - 12*u**2 + 3*u + 18 = 0. Calculate u.
-1, 2, 3
Find t such that 4*t**5 - 136*t**4 + 592*t**3 - 328*t**2 - 596*t + 464 = 0.
-1, 1, 4, 29
Let -10*x**2/9 - 584*x/9 - 232/9 = 0. What is x?
-58, -2/5
What is b in -2*b**4/11 - 36*b**3 - 1670*b**2 + 122808*b/11 - 104040/11 = 0?
-102, 1, 5
Factor -k**2/8 + 5*k/2 + 231/2.
-(k - 42)*(k + 22)/8
What is c in -3*c**4 - 9*c**3 - 3*c**2 + 9*c + 6 = 0?
-2, -1, 1
Let -3*d**2 - 312*d - 8112 = 0. What is d?
-52
Factor 844*a**2 + 852*a + 8.
4*(a + 1)*(211*a + 2)
Factor n**3/8 - 161*n**2/4 - 325*n/2 - 163.
(n - 326)*(n + 2)**2/8
Determine i so that 4*i**2 - 1400*i - 9996 = 0.
-7, 357
Determine p, given that 2*p**2 + 22*p + 36 = 0.
-9, -2
Factor 2*u**5/13 - 80*u**4 + 2072*u**3/13.
2*u**3*(u - 518)*(u - 2)/13
Let g**4 - g**3 - 7*g**2 + 13*g - 6 = 0. Calculate g.
-3, 1, 2
Let 5*q**2 - 2800*q + 392000 = 0. Calculate q.
280
Factor -3*r**3/2 + 171*r**2/2 - 945*r/2 + 1377/2.
-3*(r - 51)*(r - 3)**2/2
Factor -2*m**4/5 + 86*m**3 - 2532*m**2/5 + 5032*m/5 - 3344/5.
-2*(m - 209)*(m - 2)**3/5
What is t in -3*t**3 - 27*t**2 - 18*t + 48 = 0?
-8, -2, 1
Suppose -3*s**4 - 45*s**3 + 153*s**2 - 159*s + 54 = 0. What is s?
-18, 1
Let -9*v**2 + 1893*v - 630 = 0. Calculate v.
1/3, 210
Factor i**2/8 - 169/8.
(i - 13)*(i + 13)/8
Find g such that 3*g**4/4 + 13*g**3/4 + 4*g**2 + g = 0.
-2, -1/3, 0
Let -33*b**5/4 + 183*b**4 - 3333*b**3/4 - 4065*b**2/2 - 792*b + 216 = 0. Calculate b.
-1, 2/11, 12
Solve -l**2/4 + 599*l/2 - 358801/4 = 0 for l.
599
Solve 15*q**4 + 70*q**3 - 395*q**2 + 70*q + 240 = 0 for q.
-8, -2/3, 1, 3
Factor 2*s**3/5 + 62*s**2/5.
2*s**2*(s + 31)/5
What is v in 4*v**4 - 8*v**3 - 4*v**2 + 8*v = 0?
-1, 0, 1, 2
Let 3*p**5 - 57*p**4 - 987*p**3 - 3819*p**2 - 5496*p - 2604 = 0. What is p?
-7, -2, -1, 31
Factor 3*m**3/4 + 27*m**2 + 207*m/4 + 51/2.
3*(m + 1)**2*(m + 34)/4
Find j such that 9*j**2 - 18601*j - 4134 = 0.
-2/9, 2067
Let -5*l**3 + 260*l**2 - 3625*l + 6250 = 0. Calculate l.
2, 25
Factor 3*c**2/8 - 3735*c/4 - 7473/8.
3*(c - 2491)*(c + 1)/8
Determine k so that 3*k**3 + 42*k**2 - 960*k - 13824 = 0.
-16, 18
Factor -r**2/7 + 68*r/7 - 960/7.
-(r - 48)*(r - 20)/7
What is f in -4*f**3 + 148*f**2 - 1800*f + 7200 = 0?
10, 12, 15
Determine w so that -5*w**3 + 150*w**2 = 0.
0, 30
Factor -2*k**3 + 598*k**2 - 45584*k + 131424.
-2*(k - 148)**2*(k - 3)
Suppose 5*b**5 - 5*b**4 - 25*b**3 + 25*b**2 + 20*b - 20 = 0. What is b?
-2, -1, 1, 2
What is x in 5*x**2 - 250*x - 1080 = 0?
-4, 54
Solve -2*q**4/9 - 8*q**3/3 + 58*q**2/9 + 8*q/3 - 56/9 = 0 for q.
-14, -1, 1, 2
Factor 3*a**3/8 + 573*a**2/2 + 435471*a/8 - 440067/4.
3*(a - 2)*(a + 383)**2/8
Determine t so that 4*t**2 + 184*t - 1728 = 0.
-54, 8
Factor -180*f**2 - 420*f - 245.
-5*(6*f + 7)**2
Determine d, given that -2*d**5 + 8*d**4 + 22*d**3 + 12*d**2 = 0.
-1, 0, 6
Let 55*c**5 - 30*c**4 - 385*c**3 - 120*c**2 + 180*c = 0. What is c?
-2, -1, 0, 6/11, 3
Factor -g**3/3 - 8*g**2/3.
-g**2*(g + 8)/3
Factor 2*p**2 + 600*p + 598.
2*(p + 1)*(p + 299)
Let -5*o**4 + 1330*o**3 - 121260*o**2 + 4067800*o - 25442240 = 0. What is o?
8, 86
Determine q so that -q**4/4 + 13*q**3/4 - 53*q**2/4 + 83*q/4 - 21/2 = 0.
1, 2, 3, 7
Factor -2*i**3/13 + 8*i**2 - 294*i/13.
-2*i*(i - 49)*(i - 3)/13
Solve 3*p**3/2 - 11254*p**2 + 42225007*p/2 - 14070001 = 0 for p.
2/3, 3751
Factor 12*l**4 - 382*l**3 + 3008*l**2 + 512*l.
2*l*(l - 16)**2*(6*l + 1)
Suppose 2*m**3/3 - 322*m**2/3 + 13120*m/3 - 12800/3 = 0. What is m?
1, 80
Find y such that 3*y**5/7 + 54*y**4/7 - 1515*y**3/7 + 9126*y**2/7 - 11988*y/7 - 3240 = 0.
-35, -1, 6
What is z in -3*z**2/4 - 3*z - 3 = 0?
-2
Factor -m**5/3 - m**4/3 + 8*m**3 - 40*m**2/3 - 16*m/3 + 16.
-(m - 2)**3*(m + 1)*(m + 6)/3
Factor -2*x**3/5 + 6*x**2/5 + 48*x/5 - 32.
-2*(x - 4)**2*(x + 5)/5
Factor -5*k**4 + 10*k**3 + 15*k**2.
-5*k**2*(k - 3)*(k + 1)
Factor -3*u**4/5 - 2748*u**3/5 - 629292*u**2/5.
-3*u**2*(u + 458)**2/5
Factor -3*q**2 - 8262*q + 8265.
-3*(q - 1)*(q + 2755)
Solve -4*r**3 - 228*r**2 + 4968*r - 4736 = 0.
-74, 1, 16
Factor 6*z**3 - 3586*z**2