90*l**3 - 110*l**2 - 65*l - 15.
-5*(l + 1)**4*(l + 3)
Let 3*i**5/5 + 9*i**4/5 - 12*i**3/5 - 48*i**2/5 + 48/5 = 0. Calculate i.
-2, 1, 2
Factor 3*p**2/4 + 135*p/4 - 141/2.
3*(p - 2)*(p + 47)/4
Determine c so that -10*c**4 + 75*c**3 - 55*c**2 - 390*c + 200 = 0.
-2, 1/2, 4, 5
Suppose -h**4/2 - 19*h**3/2 - 77*h**2/2 - 101*h/2 - 21 = 0. What is h?
-14, -3, -1
Let 14*t**5/3 - 130*t**4/9 - 10*t**3/3 + 130*t**2/9 - 4*t/3 = 0. What is t?
-1, 0, 2/21, 1, 3
Determine d so that -d**3 + 40*d**2 - 363*d + 324 = 0.
1, 12, 27
Factor p**3/5 + 16*p**2/5 + 61*p/5 + 66/5.
(p + 2)*(p + 3)*(p + 11)/5
Solve -24*k**4 + 88*k**3 - 362*k**2/3 + 220*k/3 - 50/3 = 0.
5/6, 1
Solve p**5 + 11*p**4 + 46*p**3 + 92*p**2 + 88*p + 32 = 0 for p.
-4, -2, -1
Find m such that -4*m**2/3 - 4*m + 16/3 = 0.
-4, 1
Factor -4*d**4 - 11*d**3 + 39*d**2 - 29*d + 5.
-(d - 1)**2*(d + 5)*(4*d - 1)
Determine z, given that 16*z**2 - 132*z - 328 = 0.
-2, 41/4
Solve -16*n**4 - 4*n**3 + 448*n**2 + 880*n + 192 = 0.
-4, -2, -1/4, 6
Suppose 2*q**3/5 + 456*q**2/5 + 5376*q + 100352/5 = 0. Calculate q.
-112, -4
Suppose -12*w**5 - 159*w**4/2 - 297*w**3/2 - 81*w**2/2 + 81*w/2 = 0. What is w?
-3, -1, 0, 3/8
Solve -3*j**3 + 738*j**2 - 60516*j + 1654104 = 0 for j.
82
Determine j so that -12*j**3 - 507*j**2 - 126*j = 0.
-42, -1/4, 0
Factor 3*h**3 - 27*h**2 - 66*h.
3*h*(h - 11)*(h + 2)
Find t such that 2*t**5/9 - 2*t**4/3 + 8*t**2/9 = 0.
-1, 0, 2
Determine i, given that 3*i**5/4 - 63*i**3/2 - 114*i**2 - 549*i/4 - 54 = 0.
-3, -1, 8
Let 2*o**5/7 - 36*o**4/7 + 30*o**3 - 56*o**2 = 0. What is o?
0, 4, 7
Find q such that 4*q**5 - 20*q**4 + 160*q**2 - 320*q + 192 = 0.
-3, 2
Let g**3/2 - 4*g**2 - 19*g/2 - 5 = 0. What is g?
-1, 10
Determine c, given that 3*c**3/8 - 21*c**2/8 + 6*c - 9/2 = 0.
2, 3
Factor -2*a**4/3 - 16*a**3 + 112*a**2 - 704*a/3 + 160.
-2*(a - 2)**3*(a + 30)/3
Factor -n**3/9 - 31*n**2/9 + 217*n/9 - 185/9.
-(n - 5)*(n - 1)*(n + 37)/9
Solve 76*k**2/7 + 346*k/7 + 24 = 0 for k.
-4, -21/38
What is c in -16*c**2 - 44*c + 12 = 0?
-3, 1/4
Find o, given that o**3/6 + 23*o**2/6 + 20*o - 24 = 0.
-12, 1
Factor 4*z**3 + 88*z**2 + 644*z + 1568.
4*(z + 7)**2*(z + 8)
Suppose 4*z**2 + 480*z - 1476 = 0. What is z?
-123, 3
Factor 4*b**4 - 80*b**3 - 12*b**2 + 248*b - 160.
4*(b - 20)*(b - 1)**2*(b + 2)
Determine b so that 2*b**3/3 - 32*b**2 + 384*b = 0.
0, 24
Factor -3*g**4 + 84*g**3 - 588*g**2.
-3*g**2*(g - 14)**2
Factor r**2/4 + 167*r/4 + 163.
(r + 4)*(r + 163)/4
Let 3*d**2/2 + 15*d/4 + 3/2 = 0. Calculate d.
-2, -1/2
Let 32*c**4/11 + 720*c**3 - 11934*c**2/11 + 4480*c/11 - 498/11 = 0. What is c?
-249, 1/4, 1
Determine x so that -3*x**3/2 + 18*x**2 - 27*x/2 - 33 = 0.
-1, 2, 11
Factor 4*u**3 + 376*u**2 - 764*u + 384.
4*(u - 1)**2*(u + 96)
Factor -3*d**3 + 342*d**2 + 1404*d + 1416.
-3*(d - 118)*(d + 2)**2
Factor y**5/7 - 2*y**4/7 + 2*y**2/7 - y/7.
y*(y - 1)**3*(y + 1)/7
What is o in 3*o**3/5 - 12*o**2/5 - 33*o/5 - 18/5 = 0?
-1, 6
Let 16*v**2/5 - 94*v/5 - 12/5 = 0. What is v?
-1/8, 6
Factor y**4/5 + 19*y**3/5 - 64*y**2/5 + 44*y/5.
y*(y - 2)*(y - 1)*(y + 22)/5
Find g such that -2*g**2/9 - 1462*g/9 + 7360/9 = 0.
-736, 5
Let y**2 + 1600*y + 640000 = 0. What is y?
-800
Factor -2*k**2 + 4*k + 48.
-2*(k - 6)*(k + 4)
Factor 5*i**3/3 + 40*i**2/3 - 75*i + 60.
5*(i - 3)*(i - 1)*(i + 12)/3
Factor 2*c**3 + 294*c**2 - 896*c + 600.
2*(c - 2)*(c - 1)*(c + 150)
Factor -2*c**3/13 - 22*c**2/13.
-2*c**2*(c + 11)/13
Factor w**4 + 2*w**3 - w**2 - 2*w.
w*(w - 1)*(w + 1)*(w + 2)
Factor -5*o**4 + 200*o**3 + 3185*o**2 - 3380*o.
-5*o*(o - 52)*(o - 1)*(o + 13)
Factor 5*i**3/3 + 201*i**2 + 955*i/3 + 119.
(i + 1)*(i + 119)*(5*i + 3)/3
Suppose 3*i**4 - 30*i**3 + 72*i**2 + 96*i - 384 = 0. Calculate i.
-2, 4
Determine x so that 2*x**2 - 16*x - 1026 = 0.
-19, 27
Find m such that m**4/4 + 11*m**3/2 - 79*m**2/4 - 25*m = 0.
-25, -1, 0, 4
Suppose 6*h**3 - 308*h**2 + 102*h = 0. Calculate h.
0, 1/3, 51
Factor -2*d**2/5 + 1176*d/5.
-2*d*(d - 588)/5
Suppose -l**2/2 - 154*l - 306 = 0. What is l?
-306, -2
Let -d**2/10 + 17*d/10 - 3 = 0. What is d?
2, 15
Suppose -u**3/10 + 17*u**2/10 + 23*u/5 - 76/5 = 0. Calculate u.
-4, 2, 19
Factor 3*v**2 + 102*v - 216.
3*(v - 2)*(v + 36)
Suppose -2*s**5 - 8*s**4 - 6*s**3 + 8*s**2 + 8*s = 0. Calculate s.
-2, -1, 0, 1
Factor 3*g**4 + 24*g**3 + 69*g**2 + 84*g + 36.
3*(g + 1)*(g + 2)**2*(g + 3)
Find z, given that -10*z**3 - 206*z**2/7 + 292*z/7 - 16/7 = 0.
-4, 2/35, 1
Factor 5*o**3 + 3035*o**2 + 6055*o + 3025.
5*(o + 1)**2*(o + 605)
Factor -5*r**3 - 30*r**2 + 135*r.
-5*r*(r - 3)*(r + 9)
What is a in -5*a**4 - 10*a**3 + 20*a**2 + 40*a = 0?
-2, 0, 2
Factor -2*k**3 + 554*k**2 - 36942*k - 198810.
-2*(k - 141)**2*(k + 5)
What is m in m**2 - 9 = 0?
-3, 3
Factor 4*v**5/9 + 20*v**4/9 + 4*v**3 + 28*v**2/9 + 8*v/9.
4*v*(v + 1)**3*(v + 2)/9
Solve i**3/3 - 184*i**2 + 25020*i + 309136/3 = 0 for i.
-4, 278
What is l in 4*l**4 - 4*l**2 = 0?
-1, 0, 1
Factor 2*w**2/21 - 316*w/7 + 37446/7.
2*(w - 237)**2/21
Suppose -4*p**2 - 2144*p = 0. Calculate p.
-536, 0
Let 2*u**4/7 - 12*u**3/7 + 22*u**2/7 - 12*u/7 = 0. What is u?
0, 1, 2, 3
Let -2*f**4/11 - 40*f**3/11 - 104*f**2/11 + 960*f/11 - 1152/11 = 0. Calculate f.
-12, 2
Factor 4*n**5/7 - 144*n**4/7 + 1552*n**3/7 - 4608*n**2/7 + 4096*n/7.
4*n*(n - 16)**2*(n - 2)**2/7
Let -16*g**5 + 884*g**4 + 676*g**3 - 224*g**2 = 0. Calculate g.
-1, 0, 1/4, 56
Factor 64*y**5/5 + 848*y**4/5 + 3612*y**3/5 + 1107*y**2 + 3537*y/5 + 162.
(y + 5)*(y + 6)*(4*y + 3)**3/5
Determine g, given that -3*g**4 - 108*g**3 + 345*g**2 - 234*g = 0.
-39, 0, 1, 2
Determine s, given that 3*s**5 + 187*s**4 + 4265*s**3 + 42321*s**2 + 158840*s + 48400 = 0.
-20, -11, -1/3
Determine x, given that -2*x**3 + 26*x**2/15 + 184*x/15 + 8/5 = 0.
-2, -2/15, 3
Suppose u**5/5 + 19*u**4/5 - 153*u**3/5 - 11*u**2 + 488*u/5 - 60 = 0. Calculate u.
-25, -2, 1, 6
Suppose -4*b**4 - 28*b**3 - 44*b**2 - 20*b = 0. What is b?
-5, -1, 0
Factor -10*g**3 - 5*g**2 + 15*g.
-5*g*(g - 1)*(2*g + 3)
Let 40898*g**3 + 82940*g**2 + 2296*g + 16 = 0. What is g?
-2, -2/143
Factor g**5/4 + 7*g**4/4 - 27*g**3/2 + 19*g**2 + 10*g - 24.
(g - 2)**3*(g + 1)*(g + 12)/4
Let -i**5/3 - 4*i**4/3 + 2*i**3 + 12*i**2 + 9*i = 0. What is i?
-3, -1, 0, 3
Factor 2*i**3/11 + 12*i**2/11 - 64/11.
2*(i - 2)*(i + 4)**2/11
Factor 8*o**5 + 12*o**4 - 104*o**3 + 160*o**2 - 96*o + 20.
4*(o - 1)**3*(o + 5)*(2*o - 1)
Factor 9*x**3 + 48*x**2 - 855*x + 546.
3*(x - 7)*(x + 13)*(3*x - 2)
Suppose -16*n**4/5 + 2248*n**3 + 16887*n**2/5 + 1267*n + 704/5 = 0. What is n?
-1, -1/4, 704
Suppose 1024*c**2 - 2688*c + 1764 = 0. Calculate c.
21/16
Factor -3*p**3 - 555*p**2 - 1644*p - 1092.
-3*(p + 1)*(p + 2)*(p + 182)
Suppose 2*s**2 + 30*s - 68 = 0. Calculate s.
-17, 2
Factor p**2/2 - 40*p + 1311/2.
(p - 57)*(p - 23)/2
What is n in -63*n**5/2 + 101*n**4/2 + 111*n**3/2 - 97*n**2/2 - 24*n - 2 = 0?
-1, -2/7, -1/9, 1, 2
Let 8*u**5/9 + 7*u**4/3 - u**3/9 - 3*u**2 - 7*u/9 + 2/3 = 0. Calculate u.
-2, -1, 3/8, 1
What is i in 2*i**2/5 + 2664*i/5 + 887112/5 = 0?
-666
Factor k**2 + 20*k + 36.
(k + 2)*(k + 18)
Factor -5*p**3 - 20*p**2.
-5*p**2*(p + 4)
Let 15*d**5 + 40*d**4 + 5*d**3 - 40*d**2 - 20*d = 0. What is d?
-2, -1, -2/3, 0, 1
Solve 18*w**3/5 + 4*w**2/5 - 72*w/5 - 16/5 = 0.
-2, -2/9, 2
Factor 2*p**3/3 - 2*p/3.
2*p*(p - 1)*(p + 1)/3
Determine d so that -5*d**2 - 16845*d - 16840 = 0.
-3368, -1
Suppose 4*f**4 + 412*f**3 + 1604*f**2 + 1988*f + 792 = 0. What is f?
-99, -2, -1
Find v, given that 27*v**3/2 - 99*v**2/2 + 57*v/2 - 9/2 = 0.
1/3, 3
Find w such that 4*w**4 - 48*w**3 - 368*w**2 + 1920*w - 2048 = 0.
-8, 2, 16
Suppose 6*l**4/7 - 4*l**3/7 - 26*l**2/7 + 16*l/7 + 8/7 = 0. What is l?
-2, -1/3, 1, 2
Solve i**4 + 10*i**3 + 19*i**2 - 30*i = 0 for i.
-6, -5, 0, 1
Factor -4*o**5/3 - 172*o**4/3 - 164*o**3 - 484*o**2/3 - 160*o/3.
-4*o*(o + 1)**3*(o + 40)/3
Let 5*r**2 - 80*r + 320 = 0. What is r?
8
Suppose -5*b**3 - 225*b**2 + 470*b = 0. Calculate b.
-47, 0, 2
Factor 3*p**3 - 69*p**2 + 336*p.
3*p*(p - 16)*(p - 7)
Factor -3*b**3/7 + 36*b**2/7 - 81*b/7 - 120/7.
-3*(b - 8)*(b - 5)*(b + 1)/7
Solve 4*a**5 - 116*a**4 - 248*a**3 - 8*a**2 + 244*a + 124 = 0.
-1, 1, 31
Determine k, given that -k**5 - 26*k**4 - 96*k**3 + 454*k**2 - 511*k + 180 = 0.
-20, -9, 1
Solve -3*i**4/7 + 19*i**3/7 - 22*i**2/7 - 24*i/7 = 0 for i.
-2/3, 0, 3, 4
Determine i, given that 4*i**2/5 