i - 300.
-3*(i + 25)*(9*i + 2)**2
Determine r so that 66*r**3 + 35*r**2 - 32*r - 1 = 0.
-1, -1/33, 1/2
Suppose c**2 - 18*c + 56 = 0. What is c?
4, 14
Factor -2*j**3/3 + 870*j**2 - 283402*j - 852818/3.
-2*(j - 653)**2*(j + 1)/3
Find l, given that -2*l**2 + 580*l - 42050 = 0.
145
Let b**4/5 + 3*b**3/5 - 673*b**2/5 - 135*b = 0. What is b?
-27, -1, 0, 25
Factor 5*m**5 - 5*m**4 - 5*m**3 + 5*m**2.
5*m**2*(m - 1)**2*(m + 1)
Factor -o**5 - 15*o**4 + 117*o**3 - 189*o**2.
-o**2*(o - 3)**2*(o + 21)
Find a such that 2*a**4 + 88*a**3 - 474*a**2 - 38528*a + 38912 = 0.
-32, 1, 19
Suppose -y**2 + 16 = 0. What is y?
-4, 4
Factor -10*k**2/9 + 12*k + 22/9.
-2*(k - 11)*(5*k + 1)/9
What is k in k**3/3 - 19*k**2/3 + 21*k - 15 = 0?
1, 3, 15
Factor 20*m**3/3 + 104*m**2 + 324*m - 440/3.
4*(m + 5)*(m + 11)*(5*m - 2)/3
Solve 2*k**5/19 - 32*k**4/19 + 122*k**3/19 - 124*k**2/19 - 104*k/19 + 176/19 = 0.
-1, 2, 11
Factor l**3/4 + 105*l**2/4 + 702*l + 676.
(l + 1)*(l + 52)**2/4
Solve -3*i**4/5 - 126*i**3/5 + 612*i**2 - 2280*i - 7200 = 0.
-60, -2, 10
Factor -3*j**2/2 + 72*j - 141/2.
-3*(j - 47)*(j - 1)/2
Determine w, given that -18*w**3 + 279*w**2 - 178*w = 0.
0, 2/3, 89/6
Factor w**5 - w**4 - 7*w**3 + 13*w**2 - 6*w.
w*(w - 2)*(w - 1)**2*(w + 3)
Determine m, given that 30*m**4/11 - 288*m**3/11 - 450*m**2/11 + 5268*m/11 + 2160/11 = 0.
-4, -2/5, 5, 9
Let -l**2/5 - 2*l - 21/5 = 0. What is l?
-7, -3
Factor -5*a**2 + 95*a - 300.
-5*(a - 15)*(a - 4)
Factor -5*l**4 + 65*l**2 + 60*l.
-5*l*(l - 4)*(l + 1)*(l + 3)
Factor -5*j**2 + 440*j + 445.
-5*(j - 89)*(j + 1)
Solve 4*l**3 - 249*l**2 + 306*l - 61 = 0 for l.
1/4, 1, 61
Solve 4*j**3 - 80*j**2 + 148*j - 72 = 0 for j.
1, 18
Suppose -2*w**2 - 4*w + 48 = 0. Calculate w.
-6, 4
Solve -4*i**5/3 + 4*i**4 - 16*i**2/3 = 0 for i.
-1, 0, 2
Let 3*l**2/5 - 6*l/5 = 0. Calculate l.
0, 2
Let -21*a**4/2 + 1065*a**3/2 - 7407*a**2 + 15984*a + 5184 = 0. What is a?
-2/7, 3, 24
Suppose -c**4/5 + 14*c**3/5 - 69*c**2/5 + 28*c - 20 = 0. Calculate c.
2, 5
Determine g, given that -2*g**3/9 - 34*g**2/9 + 2624*g/9 - 25088/9 = 0.
-49, 16
Solve -u**3/4 - 289*u**2/4 - 20735*u/4 + 21025/4 = 0.
-145, 1
Factor -3*b**2 + 768*b - 49152.
-3*(b - 128)**2
Factor 4*x**4 - 136*x**2 - 384*x - 252.
4*(x - 7)*(x + 1)*(x + 3)**2
Factor 2*f**3/5 + 428*f**2/5 - 2*f/5 - 428/5.
2*(f - 1)*(f + 1)*(f + 214)/5
Determine b so that 8*b**3/19 - 10*b**2/19 + 2*b/19 = 0.
0, 1/4, 1
Let 2*a**3/7 - 4778*a**2/7 + 2856048*a/7 - 2851272/7 = 0. What is a?
1, 1194
Factor 5*r**3 + 2360*r**2 - 20*r - 9440.
5*(r - 2)*(r + 2)*(r + 472)
What is j in 9*j**4 + 78*j**3 + 219*j**2 + 222*j + 72 = 0?
-4, -3, -1, -2/3
Factor -5*u**2 + 1980*u - 196020.
-5*(u - 198)**2
Factor 2*o**2/3 - 566*o/3 - 568/3.
2*(o - 284)*(o + 1)/3
Suppose -2*n**5/5 + 2*n**4 + 12*n**3/5 = 0. What is n?
-1, 0, 6
Determine x so that 4*x**5 - 24*x**4 - 36*x**3 + 56*x**2 = 0.
-2, 0, 1, 7
Factor 3*c**3 - 10428*c**2 + 20847*c - 10422.
3*(c - 3474)*(c - 1)**2
Let -b**2/2 - 4411*b - 19456921/2 = 0. What is b?
-4411
Factor 2*t**2 + 4536*t + 2571912.
2*(t + 1134)**2
Factor -p**3/3 + 41*p**2 - 1240*p - 3844/3.
-(p - 62)**2*(p + 1)/3
What is m in -2*m**5 + 2*m**4 + 12*m**3 = 0?
-2, 0, 3
Find q, given that -3*q**5/2 + 21*q**4/2 + 51*q**3/2 + 27*q**2/2 = 0.
-1, 0, 9
Find l such that -2*l**3/7 + 40*l**2 + 566*l/7 + 284/7 = 0.
-1, 142
Let -4*u**2 + 1224*u + 2464 = 0. What is u?
-2, 308
Let 105*v**5 - 1220*v**4 + 1775*v**3 - 760*v**2 + 100*v = 0. What is v?
0, 2/7, 1/3, 1, 10
Let 2*b**4 - 144*b**3 - 1428*b**2 - 2480*b + 4050 = 0. Calculate b.
-5, 1, 81
Factor 2*a**4/3 - 1904*a**3/3 + 1900*a**2 - 5696*a/3 + 1898/3.
2*(a - 949)*(a - 1)**3/3
Factor -2*g**3 + 36*g**2 + 2*g - 36.
-2*(g - 18)*(g - 1)*(g + 1)
Factor 2*g**3/3 - 4*g**2 - 50*g/3 - 12.
2*(g - 9)*(g + 1)*(g + 2)/3
Factor -3*a**3/7 + 219*a**2/7 + 3*a/7 - 219/7.
-3*(a - 73)*(a - 1)*(a + 1)/7
Find p, given that 5*p**2 + 35430*p + 35425 = 0.
-7085, -1
Factor -5*u**2 + 330*u + 335.
-5*(u - 67)*(u + 1)
Let 2*s**5/3 + 46*s**4/3 - 2*s**3 - 134*s**2/3 + 92*s/3 = 0. What is s?
-23, -2, 0, 1
Let -5*l**4 + 5*l**3 + 75*l**2 + 115*l + 50 = 0. What is l?
-2, -1, 5
Solve 4*q**2 - 194*q - 98 = 0.
-1/2, 49
Determine r, given that -22*r**2/19 - 24*r/19 = 0.
-12/11, 0
Solve -20*b**3 + 325*b**2 + 260*b - 85 = 0.
-1, 1/4, 17
Factor -4*j**2 - 272*j + 560.
-4*(j - 2)*(j + 70)
Factor v**4/3 + 2*v**3 + 4*v**2/3 - 2*v - 5/3.
(v - 1)*(v + 1)**2*(v + 5)/3
Suppose 2*w**2 + 108*w - 1904 = 0. Calculate w.
-68, 14
Solve -4*t**5 + 40*t**3 - 36*t = 0 for t.
-3, -1, 0, 1, 3
Solve 2*i**5 - 4*i**3 + 2*i = 0 for i.
-1, 0, 1
Suppose 3*j**2/5 - 267*j/5 + 204 = 0. Calculate j.
4, 85
Factor 3025*r**3 + 5830*r**2 - 436*r + 8.
(r + 2)*(55*r - 2)**2
Factor -2*v**2/3 + 578*v/3 - 192.
-2*(v - 288)*(v - 1)/3
Solve 12*a**5 - 400*a**4 + 2820*a**3 - 3200*a**2 + 768*a = 0 for a.
0, 1/3, 1, 8, 24
Let -3*t**5/5 - 6*t**4/5 + 27*t**3/5 + 6*t**2/5 - 24*t/5 = 0. What is t?
-4, -1, 0, 1, 2
Solve u**2/2 + 21*u/2 = 0.
-21, 0
Factor 6*d**2 + 62*d - 44.
2*(d + 11)*(3*d - 2)
Factor 266*y**3 - 9*y**2 - 59*y + 6.
(2*y + 1)*(7*y - 3)*(19*y - 2)
Find c, given that -108*c**3 - 11304*c**2 - 301359*c - 290163 = 0.
-311/6, -1
Solve 5*k**2 + 75*k - 1430 = 0 for k.
-26, 11
Factor 4*s**4/7 - 496*s**3/7 + 2880*s**2/7 - 5696*s/7 + 3776/7.
4*(s - 118)*(s - 2)**3/7
Solve -2*x**5/5 + 6*x**4 + 182*x**3/5 + 346*x**2/5 + 276*x/5 + 16 = 0.
-2, -1, 20
Factor -4*w**4 + 112*w**3 - 1104*w**2 + 4480*w - 6400.
-4*(w - 10)**2*(w - 4)**2
What is i in -4764*i**5 + 1600*i**4 + 14288*i**3 - 14328*i**2 + 3212*i - 8 = 0?
-2, 1/397, 1/3, 1
Factor 8712*d**2 + 10824*d + 3362.
2*(66*d + 41)**2
Suppose 15*a**5 + 21*a**4 - 39*a**3 - 33*a**2 + 24*a + 12 = 0. Calculate a.
-2, -1, -2/5, 1
Factor -2*t**4 - 176*t**3 - 346*t**2 - 172*t.
-2*t*(t + 1)**2*(t + 86)
Let -2*k**2 + 114*k = 0. Calculate k.
0, 57
Determine l so that 1156*l**2 + 26384*l + 150544 = 0.
-194/17
Determine x so that 5*x**2/3 + 735*x + 2200/3 = 0.
-440, -1
Find n such that -n**2/3 - 19*n/6 + 11/2 = 0.
-11, 3/2
Factor 2*h**3 - 808*h**2 + 81608*h.
2*h*(h - 202)**2
Find d such that -144*d**5 + 3984*d**4 - 30484*d**3 + 38176*d**2 + 15340*d + 1352 = 0.
-1/6, 2, 13
Factor 5*h**3 + 40*h**2 - 420*h.
5*h*(h - 6)*(h + 14)
Find q such that -2*q**4/11 - 256*q**3/11 - 756*q**2/11 - 752*q/11 - 250/11 = 0.
-125, -1
Suppose 5*c**3 + 10*c**2 = 0. Calculate c.
-2, 0
Suppose 2*k**5/7 - 20*k**4/7 - 100*k**3/7 - 160*k**2/7 - 110*k/7 - 4 = 0. What is k?
-1, 14
Factor -n**4/4 + 9*n**3/2 - 105*n**2/4 + 49*n.
-n*(n - 7)**2*(n - 4)/4
Factor 2*v**2/11 - 16*v + 1134/11.
2*(v - 81)*(v - 7)/11
Let -5*r**5 + 10*r**4 + 10*r**3 - 20*r**2 - 5*r + 10 = 0. Calculate r.
-1, 1, 2
What is z in 11*z**2/3 + 40*z/3 - 16/3 = 0?
-4, 4/11
Find a, given that 3*a**3 - 3*a**2 - 342*a - 648 = 0.
-9, -2, 12
Determine p, given that p**4/6 - 25*p**3/2 + 73*p**2/6 + 25*p/2 - 37/3 = 0.
-1, 1, 74
Solve 2*g**5/11 - 18*g**4/11 + 50*g**3/11 - 30*g**2/11 - 52*g/11 + 48/11 = 0.
-1, 1, 2, 3, 4
Factor -21*n**4/2 - 24*n**3 - 6*n**2.
-3*n**2*(n + 2)*(7*n + 2)/2
Find a such that 2*a**3/11 + 60*a**2/11 - 1134*a/11 - 34992/11 = 0.
-27, 24
Determine r so that -2*r**3/3 + 2792*r**2/3 - 930*r = 0.
0, 1, 1395
Factor -2*z**2 + 136*z - 264.
-2*(z - 66)*(z - 2)
Find g, given that 4*g**4 + 56*g**3 + 240*g**2 + 416*g + 256 = 0.
-8, -2
Determine v so that 3*v**5/2 + 33*v**4/2 + 123*v**3/2 + 183*v**2/2 + 45*v = 0.
-5, -3, -2, -1, 0
What is c in 3*c**3 - 6*c**2 = 0?
0, 2
Factor 3*l**4 - 112*l**3 + 885*l**2 + 3000*l + 2000.
(l - 20)**2*(l + 1)*(3*l + 5)
Find q, given that -9*q**5 + 3*q**4 + 54*q**3 - 90*q**2 + 51*q - 9 = 0.
-3, 1/3, 1
Determine g, given that -2836*g**4 - 8*g**3 + 2836*g**2 + 8*g = 0.
-1, -2/709, 0, 1
Factor q**5/2 - 335*q**4/2 + 28555*q**3/2 - 83665*q**2/2 + 41500*q - 13778.
(q - 166)**2*(q - 1)**3/2
Find j such that -75076*j**2 - 1096*j - 4 = 0.
-1/137
Let 3*p**2/8 + 1629*p/4 + 884547/8 = 0. Calculate p.
-543
Solve o**3 + 1682*o**2 + 707281*o = 0.
-841, 0
Solve j**4 + 3*j**3 - 6*j**2 - 8*j = 0.
-4, -1, 0, 2
Determine h so that -40*h**5 + 235*h**4 - 420*h**3 + 225*h**2 = 0.
0, 1, 15/8, 3
Find y such that -3*y**5/4 - 57*y**4/8 - 99*y**3/4 - 321*y**2/8 - 123*y/4 - 9 = 0.
-4, -2, -3/2, -1
Suppose l**3 + 8*l**2 = 0. What is l?
-8, 0
Suppose -2*z**2/13 + 440*z/13 - 24200/13 = 0. Calculate z.
110
What i