-1
Find b such that 2*b**2/11 + 80*b/11 + 800/11 = 0.
-20
Find j such that -10*j**4/17 - 66*j**3/17 - 132*j**2/17 - 56*j/17 + 48/17 = 0.
-3, -2, 2/5
Factor -2*u**2/3 - 47*u/3 + 8.
-(u + 24)*(2*u - 1)/3
What is s in -2*s**2/11 - 4*s - 210/11 = 0?
-15, -7
Factor -3*q**4 + 30*q**3 - 39*q**2 - 180*q - 108.
-3*(q - 6)**2*(q + 1)**2
Find m, given that -m**4 - 101*m**3 + 7*m**2 + 713*m + 606 = 0.
-101, -2, -1, 3
Solve 5*q**4 + 35*q**3 - 365*q**2 + 325*q = 0.
-13, 0, 1, 5
Solve 32*y**4/11 - 80*y**3/11 - 62*y**2/11 + 4*y - 6/11 = 0 for y.
-1, 1/4, 3
What is s in 26*s**5 - 160*s**4 - 54*s**3 + 532*s**2 - 392*s + 48 = 0?
-2, 2/13, 1, 6
Suppose -5*l**5 + 1570*l**4 - 123245*l**3 = 0. Calculate l.
0, 157
Determine t, given that 4*t**2 + 792*t + 2340 = 0.
-195, -3
Suppose -v**2 + 99*v + 972 = 0. What is v?
-9, 108
Solve 2*v**4 - 678*v**3 + 75210*v**2 - 2565650*v - 18250500 = 0 for v.
-6, 115
Factor p**2/4 - 281*p/4 + 70.
(p - 280)*(p - 1)/4
What is n in -2*n**2/13 + 2784*n/13 - 968832/13 = 0?
696
Let -2*y**2 - 4944*y - 3055392 = 0. What is y?
-1236
Factor -3*o**3 - 27*o**2 - 60*o - 36.
-3*(o + 1)*(o + 2)*(o + 6)
Suppose f**4/5 + 72*f**3/5 + 71*f**2/5 = 0. What is f?
-71, -1, 0
Let -4*y**2 - 212*y = 0. Calculate y.
-53, 0
Let y**2/6 + 140*y/3 - 283/2 = 0. Calculate y.
-283, 3
Let -2*w**2 + 86*w = 0. What is w?
0, 43
Suppose 3*t**3 - 9*t**2 - 48*t + 144 = 0. Calculate t.
-4, 3, 4
Solve -f**2 - 20*f - 64 = 0.
-16, -4
Solve 4*i**4 - 804*i**3 - 4932*i**2 - 7436*i - 3312 = 0.
-4, -1, 207
Factor -2*s**3 + 18*s**2 + 1122*s - 14450.
-2*(s - 17)**2*(s + 25)
Factor -2*s**2/9 - 136*s/9 - 2312/9.
-2*(s + 34)**2/9
Factor -5*s**3 - 195*s**2 - 2520*s - 10780.
-5*(s + 11)*(s + 14)**2
Factor -2*c**3/3 + 116*c**2/3 - 1426*c/3 - 7688/3.
-2*(c - 31)**2*(c + 4)/3
Factor -i**2/3 - 3*i + 10/3.
-(i - 1)*(i + 10)/3
Factor -3*g**3 - 6*g**2 + 9*g.
-3*g*(g - 1)*(g + 3)
Find s such that 12*s**4 - 2596*s**3 + 6000*s**2 - 1712*s = 0.
0, 1/3, 2, 214
What is g in g**3/9 - 20*g**2/9 + 68*g/9 - 64/9 = 0?
2, 16
Solve -4*q**4 + 44*q**3 + 56*q**2 - 96*q = 0.
-2, 0, 1, 12
Factor -9*f**2 - 867*f - 83521/4.
-(6*f + 289)**2/4
Factor -b**2 - 19*b - 60.
-(b + 4)*(b + 15)
Determine a, given that a**5/7 + 8*a**4/7 - 94*a**2/7 - 65*a/7 + 150/7 = 0.
-5, -2, 1, 3
Let -2*v**4/9 + 166*v**3/9 + 172*v**2/9 - 112*v/3 = 0. Calculate v.
-2, 0, 1, 84
Determine h, given that -h**2/4 - 5*h/4 = 0.
-5, 0
Factor -3*k**3 + 324*k**2 - 951*k + 630.
-3*(k - 105)*(k - 2)*(k - 1)
Factor -2*r**4 + 368*r**3.
-2*r**3*(r - 184)
Solve 4*i**4/7 - 100*i**3/7 - 444*i**2/7 + 2204*i + 31768/7 = 0 for i.
-11, -2, 19
Find b such that 2*b**3 - 118*b**2 + 222*b + 342 = 0.
-1, 3, 57
Solve 6*c**3/11 + 148*c**2/11 - 50*c/11 = 0.
-25, 0, 1/3
Let -o**3/5 + 4*o/5 = 0. What is o?
-2, 0, 2
What is r in -5*r**4/2 - 8*r**3 + 17*r**2/2 + 32*r + 6 = 0?
-3, -2, -1/5, 2
Factor -u**3/6 + 71*u**2/6 + 110*u/3 + 74/3.
-(u - 74)*(u + 1)*(u + 2)/6
Factor 2*l**4/17 + 2*l**3/17 - 66*l**2/17 + 126*l/17.
2*l*(l - 3)**2*(l + 7)/17
Solve -z**2 - 30*z - 29 = 0.
-29, -1
Factor y**4/3 + 7*y**3/3 - 116*y**2 - 1488*y - 4032.
(y - 21)*(y + 4)*(y + 12)**2/3
Find m, given that -4*m**2/7 + 320*m/7 + 996/7 = 0.
-3, 83
Factor 4*l**4/9 + 26*l**3/3 + 40*l**2 - 200*l/9.
2*l*(l + 10)**2*(2*l - 1)/9
Let -200*x**5 - 1495*x**4/2 - 1729*x**3/2 - 359*x**2 - 38*x + 4 = 0. What is x?
-2, -1, -2/5, 1/16
Find r such that 4*r**2 - 16*r + 16 = 0.
2
Factor -2*a**4/13 + 3258*a**3/13 - 1762530*a**2/13 + 313064350*a/13 + 1942543500/13.
-2*(a - 545)**3*(a + 6)/13
Factor 3*a**3 + 12*a**2 - 57*a + 42.
3*(a - 2)*(a - 1)*(a + 7)
Let 3*g**3 + 3*g**2 - 36*g = 0. Calculate g.
-4, 0, 3
Let 3*j**5 - 15*j**4 - 27*j**3 + 51*j**2 + 24*j - 36 = 0. What is j?
-2, -1, 1, 6
Factor -2*w**2/7 + 12*w/7 + 2.
-2*(w - 7)*(w + 1)/7
Factor 3*w**4 - 13404*w**3 + 14985666*w**2 - 29931132*w + 14958867.
3*(w - 2233)**2*(w - 1)**2
Factor -8*s**2 + 68*s + 36.
-4*(s - 9)*(2*s + 1)
Factor -3*t**4 - 702*t**3 - 699*t**2.
-3*t**2*(t + 1)*(t + 233)
Suppose -35*m**3 + 725*m**2 - 2170*m - 680 = 0. What is m?
-2/7, 4, 17
Factor k**2/4 + 3*k - 13/4.
(k - 1)*(k + 13)/4
Factor 4*i**3 + 12*i**2 - 100*i + 84.
4*(i - 3)*(i - 1)*(i + 7)
Factor -a**3/5 + 97*a**2/5 - 2728*a/5 + 17424/5.
-(a - 44)**2*(a - 9)/5
Suppose 2*l**2 - 1908*l + 455058 = 0. What is l?
477
Let -3*q**2/7 - 276*q/7 - 6348/7 = 0. Calculate q.
-46
Let -3*g**4/7 + 3*g**3/7 + 9*g**2/7 - 15*g/7 + 6/7 = 0. What is g?
-2, 1
Factor 549*z**4/4 - 1101*z**3/2 + 6*z**2.
3*z**2*(z - 4)*(183*z - 2)/4
Solve -5*l**2 - 350*l - 1005 = 0.
-67, -3
Find h, given that -2*h**4 - 8*h**3 + 84*h**2 - 72*h - 162 = 0.
-9, -1, 3
Solve -14*y**4/3 - 58*y**3/9 + 22*y**2/9 + 58*y/9 + 20/9 = 0.
-1, -5/7, -2/3, 1
What is v in 96*v**3 + 10*v**2 - 3*v/2 = 0?
-3/16, 0, 1/12
Solve -c**3/2 - 19*c**2 + 79*c/2 - 20 = 0.
-40, 1
Suppose -5*q**5/2 + q**4 + 65*q**3/2 + 17*q**2 - 12*q = 0. Calculate q.
-3, -1, 0, 2/5, 4
Factor -3*v**3 + 12*v**2 + 15*v.
-3*v*(v - 5)*(v + 1)
Factor -3*v**3/2 + 30*v**2 - 309*v/2 + 234.
-3*(v - 13)*(v - 4)*(v - 3)/2
Find l, given that -3*l**4/4 + 3*l**3/2 + 9*l**2/4 - 6*l + 3 = 0.
-2, 1, 2
Factor -4*z**4 - 68*z**3 - 64*z**2.
-4*z**2*(z + 1)*(z + 16)
Solve 82*p**2 + 1554*p - 76 = 0.
-19, 2/41
Factor 4*a**3/3 - 268*a**2/3 + 1916*a/3 - 1652/3.
4*(a - 59)*(a - 7)*(a - 1)/3
Solve -o**4/2 + 31*o**3/2 - 80*o**2 - 96*o = 0.
-1, 0, 8, 24
Factor 3*c**5 + 42*c**4 + 180*c**3 + 216*c**2.
3*c**2*(c + 2)*(c + 6)**2
Factor -2*m**4 + 8*m**3 + 26*m**2 - 56*m - 120.
-2*(m - 5)*(m - 3)*(m + 2)**2
Solve l**3 + 12*l**2 + 21*l + 10 = 0 for l.
-10, -1
Factor -2*p**3/3 - p**2/3 + 61*p/3 - 10.
-(p - 5)*(p + 6)*(2*p - 1)/3
Let -2*a**5 + 2*a**4 + 24*a**3 + 8*a**2 - 32*a = 0. Calculate a.
-2, 0, 1, 4
Factor -2*r**3 - 42*r**2 + 882*r - 3430.
-2*(r - 7)**2*(r + 35)
Let -60*j**5/7 - 16*j**4 + 436*j**3/7 + 424*j**2/7 - 112*j + 96/7 = 0. What is j?
-3, -2, 2/15, 1, 2
Solve -5*y**5 + 28*y**4 + 17*y**3 - 148*y**2 - 60*y = 0 for y.
-2, -2/5, 0, 3, 5
Factor -6*j**3/5 + 292*j**2/15 - 1216*j/15 + 256/15.
-2*(j - 8)**2*(9*j - 2)/15
Let y**2/2 - 1887*y/2 + 943 = 0. What is y?
1, 1886
Determine i so that -3*i**5 + 6*i**4 + 81*i**3 - 324*i = 0.
-3, 0, 2, 6
Factor p**4/7 + 704*p**3/7 + 165672*p**2/7 + 13141440*p/7 + 25625808/7.
(p + 2)*(p + 234)**3/7
Find y such that -2*y**2/3 - 122*y/3 + 220 = 0.
-66, 5
Solve n**3 + 902*n**2 + 203401*n = 0 for n.
-451, 0
Solve -j**3/2 + 7*j**2 + 80*j + 176 = 0.
-4, 22
Factor -10*o**3 + 175*o**2 - 70*o - 255.
-5*(o - 17)*(o + 1)*(2*o - 3)
Let 12*b**4 + 524*b**3 - 724*b**2 - 172*b + 360 = 0. What is b?
-45, -2/3, 1
Determine n so that -4*n**4 - 312*n**3 - 6084*n**2 = 0.
-39, 0
Find b such that b**3 - 264*b**2 + 263*b = 0.
0, 1, 263
Factor v**3/4 - 9*v**2/4 + 5*v - 3.
(v - 6)*(v - 2)*(v - 1)/4
Solve 2*i**3 - 24*i**2 - 54*i - 28 = 0 for i.
-1, 14
Factor 3*s**4 - 15*s**3 + 9*s**2 + 15*s - 12.
3*(s - 4)*(s - 1)**2*(s + 1)
What is n in 4*n**4/7 - 4*n**3/7 - 16*n**2/7 + 16*n/7 = 0?
-2, 0, 1, 2
Let 4*n**2/7 - 3648*n/7 + 831744/7 = 0. Calculate n.
456
What is h in -5*h**2 + 650*h + 1320 = 0?
-2, 132
Find k, given that -4*k**4/9 - 68*k**3/9 - 36*k**2 - 460*k/9 - 200/9 = 0.
-10, -5, -1
What is r in -r**2/9 + 12776*r/9 - 40806544/9 = 0?
6388
Find l, given that -5*l**4 + 5*l**3 + 2030*l**2 + 5980*l + 3960 = 0.
-18, -2, -1, 22
Factor 5*g**3 + 55*g**2 + 200*g + 240.
5*(g + 3)*(g + 4)**2
Solve t**4/3 + 14*t**3 + 193*t**2/3 + 100*t + 148/3 = 0 for t.
-37, -2, -1
Factor -94*q**3/7 - 92*q**2/7 + 2*q/7.
-2*q*(q + 1)*(47*q - 1)/7
Find n such that -5*n**3 + 65*n**2 - 160*n + 100 = 0.
1, 2, 10
Find n, given that -2*n**3/9 + 18*n**2 - 880*n/3 - 27104/9 = 0.
-7, 44
Factor -5*d**2 + 5*d + 100.
-5*(d - 5)*(d + 4)
Solve -5*k**4 + 90*k**3 - 585*k**2 + 1600*k - 1500 = 0.
2, 5, 6
Suppose -8*w**5/3 + 46*w**4/9 + 100*w**3/9 - 40*w**2/9 - 76*w/9 - 2/3 = 0. What is w?
-1, -1/12, 1, 3
Find r, given that -r**3/7 + 79*r**2/7 - 1599*r/7 + 1521/7 = 0.
1, 39
Factor i**3/7 + 18*i**2/7 + 17*i/7.
i*(i + 1)*(i + 17)/7
Suppose 16*z**2 + 46*z + 28 = 0. Calculate z.
-2, -7/8
Factor 3*d**4/5 + 12*d**3 + 201*d**2/5 + 144*d/5.
3*d*(d + 1)*(d + 3)*(d + 16)/5
Factor c**3/3 + 52*c**2/3 + 101*c/3 + 50/3.
(c + 1)**2*(c + 50)/3
Determine h so that -36*h**4 - 104*h**3 + 332*h**2 + 784*h + 384 = 0.
-4, -1, -8/9, 3
Factor -9*n**3 + 1104*n**2 + 1485*n + 3