 60 = 0.
-6, -1, 2/3
Determine v, given that 4*v**3 + 104*v**2 - 132*v - 648 = 0.
-27, -2, 3
Factor 2*m**2 - 4*m.
2*m*(m - 2)
Determine m so that 3*m**4/4 - 9*m**3/4 + 9*m**2/4 - 3*m/4 = 0.
0, 1
Solve w**2 + 52*w - 165 = 0 for w.
-55, 3
Find y, given that 2*y**4/9 - 8*y**3/3 - 10*y**2/3 + 52*y/9 = 0.
-2, 0, 1, 13
What is t in t**4/4 + 83*t**3/4 + 619*t**2/4 + 1437*t/4 + 225 = 0?
-75, -4, -3, -1
Let -c**5 - 2*c**4 + 3*c**3 = 0. Calculate c.
-3, 0, 1
Factor 18*m**2/13 + 368*m/13 + 160/13.
2*(m + 20)*(9*m + 4)/13
Factor -2*v**4/3 + 124*v**3/3 - 1922*v**2/3.
-2*v**2*(v - 31)**2/3
Factor c**3/4 + c**2/4 - 17*c/2 + 14.
(c - 4)*(c - 2)*(c + 7)/4
Solve z**2/4 + 329*z/2 + 328 = 0.
-656, -2
Solve 122*c**2/9 - 110*c/9 - 4/3 = 0.
-6/61, 1
Factor -3*t**2/5 + 18*t/5 - 27/5.
-3*(t - 3)**2/5
Suppose 3*j**5 + 45*j**4 + 51*j**3 - 357*j**2 - 54*j + 312 = 0. What is j?
-13, -4, -1, 1, 2
Find d, given that 2*d**4/13 - 144*d**2/13 - 512*d/13 - 480/13 = 0.
-6, -2, 10
Factor -5*k**2 + 4890*k - 1195605.
-5*(k - 489)**2
Solve -t**4/2 - 55*t**3/2 - 53*t**2/2 + 55*t/2 + 27 = 0 for t.
-54, -1, 1
Suppose -3*d**4 + 63*d**3 - 291*d**2 - 495*d + 726 = 0. Calculate d.
-2, 1, 11
Let 2*b**5 + 196*b**4/3 + 794*b**3/9 - 4096*b**2/9 + 3688*b/9 - 992/9 = 0. What is b?
-31, -4, 2/3, 1
Factor -2*j**2/3 + 20*j - 112/3.
-2*(j - 28)*(j - 2)/3
Let -3*i**2 - 1425*i + 1428 = 0. What is i?
-476, 1
Factor -3*f**2/2 - 987*f/4 - 123.
-3*(f + 164)*(2*f + 1)/4
Suppose 3*o**3/8 - 51*o**2/8 + 93*o/8 - 45/8 = 0. What is o?
1, 15
Factor 11*d**5 - d**4 - 66*d**3 - 82*d**2 - 25*d + 3.
(d - 3)*(d + 1)**3*(11*d - 1)
Factor -3*c**2/2 + 273*c.
-3*c*(c - 182)/2
Factor 2*p**3/3 + 362*p**2/9 - 338*p/3 - 42.
2*(p - 3)*(p + 63)*(3*p + 1)/9
Factor 3*q**2/5 + 171*q/5 - 174/5.
3*(q - 1)*(q + 58)/5
Factor 1201250*a**3/13 + 3597550*a**2/13 - 18592*a/13 + 24/13.
2*(a + 3)*(775*a - 2)**2/13
Let -34*r**3/9 - 844*r**2/9 - 1856*r/3 - 448 = 0. What is r?
-12, -14/17
Suppose 2*u**2/5 + 96*u/5 + 352/5 = 0. What is u?
-44, -4
What is d in -d**5/5 + d**4/5 + d**3/5 - d**2/5 = 0?
-1, 0, 1
Solve q**2 + 63*q + 62 = 0.
-62, -1
Let -3*z**3 - 9*z**2 - 9*z - 3 = 0. Calculate z.
-1
Factor -4*k**3 - 24*k**2 + 60*k - 32.
-4*(k - 1)**2*(k + 8)
Determine n so that 3362*n**2/3 - 164*n/3 + 2/3 = 0.
1/41
Find m, given that -2*m**2 - 132*m - 2178 = 0.
-33
Find z, given that -4*z**2 - 420*z + 5104 = 0.
-116, 11
Factor -36*b**2 - 348*b - 841.
-(6*b + 29)**2
Solve z**3/3 + 2*z**2 - 7*z/3 - 20 = 0 for z.
-5, -4, 3
Solve -5*o**4 + 590*o**3 - 18465*o**2 + 58140*o + 194940 = 0 for o.
-2, 6, 57
Factor 3*y**5 - 3*y**4 - 3*y**3 + 3*y**2.
3*y**2*(y - 1)**2*(y + 1)
Factor 4*u**4/5 - 16*u**3/5 + 12*u**2/5 + 16*u/5 - 16/5.
4*(u - 2)**2*(u - 1)*(u + 1)/5
Solve 2855*f**2 + 2850*f - 5 = 0 for f.
-1, 1/571
Solve -m**3/6 - 74*m**2/3 - 2584*m/3 + 11552/3 = 0.
-76, 4
Factor 3*q**3 + 873*q**2 - 876*q.
3*q*(q - 1)*(q + 292)
Determine l, given that -2*l**5 + 16*l**4 - 48*l**3 + 64*l**2 - 32*l = 0.
0, 2
Factor 4*n**3 + 52*n**2 + 124*n - 180.
4*(n - 1)*(n + 5)*(n + 9)
Factor 3*r**2 + 213*r - 216.
3*(r - 1)*(r + 72)
Factor -o**4/9 - 4*o**3/3 - 6*o**2 - 12*o - 9.
-(o + 3)**4/9
Let -m**3/10 - 27*m**2/2 - 4623*m/10 - 4489/10 = 0. Calculate m.
-67, -1
Find t such that t**4 - 17*t**3 + 62*t**2 + 80*t = 0.
-1, 0, 8, 10
What is j in 2*j**2/3 + 44*j + 726 = 0?
-33
Factor -3*o**2 + 102*o + 861.
-3*(o - 41)*(o + 7)
Solve 9*d**2/5 + 25062*d/5 + 16704/5 = 0 for d.
-2784, -2/3
Find c such that -2*c**3 - 465*c**2/2 - 6786*c - 1682 = 0.
-58, -1/4
Factor -5*b**3/3 - 20*b**2/3 + 5*b/3 + 20/3.
-5*(b - 1)*(b + 1)*(b + 4)/3
Factor 5*r**3 + 50*r**2 + 65*r - 120.
5*(r - 1)*(r + 3)*(r + 8)
What is h in -5*h**5 + 60*h**4 - 285*h**3 + 670*h**2 - 780*h + 360 = 0?
2, 3
What is d in 4*d**5 + 8*d**4 - 4*d**3 - 8*d**2 = 0?
-2, -1, 0, 1
Solve -4*s**2 + 4*s + 5040 = 0.
-35, 36
Factor -3*a**4 - 9*a**3 + 3*a**2 + 9*a.
-3*a*(a - 1)*(a + 1)*(a + 3)
Factor -2*t**3 - 314*t**2 - 620*t.
-2*t*(t + 2)*(t + 155)
What is j in 2*j**2 + 244*j/7 + 102/7 = 0?
-17, -3/7
Suppose -2*s**2 + 9510*s - 9508 = 0. Calculate s.
1, 4754
What is f in 2*f**5/7 + 40*f**4/7 + 212*f**3/7 + 408*f**2/7 + 234*f/7 = 0?
-13, -3, -1, 0
Determine s, given that 2*s**4/3 - 22*s**3/3 + 52*s**2/3 - 32*s/3 = 0.
0, 1, 2, 8
Let -2*s**2/3 + 10*s/3 + 200 = 0. What is s?
-15, 20
What is h in 4*h**4 + 76*h**3 + 268*h**2 - 780*h + 432 = 0?
-12, -9, 1
Let 10*g**2/7 - 1982*g/7 + 396/7 = 0. What is g?
1/5, 198
Factor -3*i**2 + 174*i + 1152.
-3*(i - 64)*(i + 6)
Find i such that -i**5/5 - i**4/5 + 2*i**3/5 + 2*i**2/5 - i/5 - 1/5 = 0.
-1, 1
Factor b**5/3 - 11*b**4/6 + 2*b**3.
b**3*(b - 4)*(2*b - 3)/6
Solve 2*a**2/5 - 36*a/5 + 162/5 = 0.
9
Suppose 3*k**4 + 290*k**3 - 393*k**2 - 96*k + 196 = 0. Calculate k.
-98, -2/3, 1
Solve -y**5 + 10*y**4 - 13*y**3 - 60*y**2 - 36*y = 0.
-1, 0, 6
Find z, given that -z**3/2 - 20*z**2 - 136*z - 256 = 0.
-32, -4
Solve 3*g**5/4 - 9*g**4/4 - 39*g**3/4 + 45*g**2/4 = 0 for g.
-3, 0, 1, 5
Factor -w**2 + 406*w + 407.
-(w - 407)*(w + 1)
Let -5*w**3 - 35*w**2 + 350*w - 520 = 0. What is w?
-13, 2, 4
Find o such that -49*o**5/4 - 511*o**4/4 + 223*o**3 - 95*o**2 + 12*o = 0.
-12, 0, 2/7, 1
Factor -4*p**2 - 102*p + 52.
-2*(p + 26)*(2*p - 1)
What is b in -5*b**2 + 75*b - 280 = 0?
7, 8
Find y such that 10*y**2 + 145*y - 75 = 0.
-15, 1/2
Let i**3 + 436*i**2 + 48805*i + 277350 = 0. Calculate i.
-215, -6
What is n in 49*n**3/2 - n**2 - 49*n/2 + 1 = 0?
-1, 2/49, 1
Let -3*a**4 - 3*a**3 + 108*a**2 + 108*a = 0. What is a?
-6, -1, 0, 6
Solve 3*g**3/2 - 21*g**2 - 48*g = 0 for g.
-2, 0, 16
Let -4*z**5 + 12*z**4 + 4*z**3 - 12*z**2 = 0. Calculate z.
-1, 0, 1, 3
Factor 3*h**2 + 3*h.
3*h*(h + 1)
Determine x so that 3*x**5 + 33*x**4 + 138*x**3 + 270*x**2 + 243*x + 81 = 0.
-3, -1
Let 8*c**5/5 + 1966*c**4/5 + 114492*c**3/5 - 154530*c**2 + 1329048*c/5 - 285768/5 = 0. What is c?
-126, 1/4, 3
Factor 2*n**3/7 + 2*n**2 - 8*n + 40/7.
2*(n - 2)*(n - 1)*(n + 10)/7
Suppose g**2/6 + 11*g/2 = 0. What is g?
-33, 0
Solve 6*w**3 - 651*w**2 - 2343*w - 1008 = 0.
-3, -1/2, 112
Factor -2*p**4 - 204*p**3 - 4314*p**2 + 45760*p - 72600.
-2*(p - 6)*(p - 2)*(p + 55)**2
Factor 3*u**3/2 - 288*u**2 + 28215*u/2 - 27075.
3*(u - 95)**2*(u - 2)/2
Suppose 2*o**3 + 60*o**2 - 134*o - 192 = 0. What is o?
-32, -1, 3
Factor w**3/3 - 32*w**2/3 + 95*w - 150.
(w - 15)**2*(w - 2)/3
Factor -2*j**5/5 + 128*j**4/5 - 372*j**3/5 + 368*j**2/5 - 122*j/5.
-2*j*(j - 61)*(j - 1)**3/5
Suppose -5*w**3 + 780*w**2 - 4500*w = 0. What is w?
0, 6, 150
Factor 4*k**4 + 900*k**3 - 1812*k**2 + 908*k.
4*k*(k - 1)**2*(k + 227)
Solve -x**4/6 + 5*x**3/6 - 2*x**2/3 = 0 for x.
0, 1, 4
Factor -4*g**2 - 340*g - 3256.
-4*(g + 11)*(g + 74)
Determine w, given that -2*w**3/5 - 2*w**2/5 + 112*w/5 - 288/5 = 0.
-9, 4
Suppose -g**3/2 + 9*g**2 + 2*g - 36 = 0. Calculate g.
-2, 2, 18
Suppose 11*y**3 - 10*y**2 - y = 0. What is y?
-1/11, 0, 1
Solve -6*t**5 - 22*t**4 + 14*t**3 + 22*t**2 - 8*t = 0.
-4, -1, 0, 1/3, 1
Factor -z**3/7 - 20*z**2/7 + 75*z/7 + 2250/7.
-(z - 10)*(z + 15)**2/7
Solve -1815*m**4 + 1265*m**3 - 280*m**2 + 20*m = 0.
0, 2/11, 1/3
Factor i**5/10 + 3*i**4/5 + i**3/5 - 2*i**2 - 27*i/10 - 1.
(i - 2)*(i + 1)**3*(i + 5)/10
Let -3*l**4 - 18*l**3 + 27*l**2 + 42*l = 0. What is l?
-7, -1, 0, 2
Solve 10*l**5 + 125*l**4 + 275*l**3 - 650*l**2 + 240*l = 0.
-8, -6, 0, 1/2, 1
Factor -i**2 - 19*i + 182.
-(i - 7)*(i + 26)
Let k**5 + 41*k**4 + 154*k**3 + 226*k**2 + 149*k + 37 = 0. Calculate k.
-37, -1
Factor -i**2/6 - 71*i/6.
-i*(i + 71)/6
Find o such that -4*o**4 + 152*o**3 - 140*o**2 - 296*o = 0.
-1, 0, 2, 37
Determine o so that 2*o**3 - 12*o**2 + 22*o - 12 = 0.
1, 2, 3
Factor -2*w**5/5 - 106*w**4/5 - 2132*w**3/5 - 19604*w**2/5 - 74698*w/5 - 57122/5.
-2*(w + 1)*(w + 13)**4/5
Suppose g**4/4 - 11*g**3/4 + 19*g**2/2 - 13*g + 6 = 0. Calculate g.
1, 2, 6
Suppose 5*l**2 + 110*l + 600 = 0. What is l?
-12, -10
Suppose x**2/5 + x/2 + 3/10 = 0. Calculate x.
-3/2, -1
Let -2*n**3/7 + 18*n**2/7 - 30*n/7 - 50/7 = 0. Calculate n.
-1, 5
Let -428*r**3 + 872*r**2 - 460*r + 16 = 0. Calculate r.
4/107, 1
Factor -2*x**4/11 + 13504*x**3/11 - 34192128*x**2/11 + 38477541376*x/11 - 16237522460672/11.
-2*(x - 1688)**4/11
Factor 2*p**3/3 + 26*p**2 - 112*p + 344/3.
2*(p - 2)**2*(p + 43)/3
Let l**4 + 91*l**3 - 282*l**2 + 4*l + 376 = 0. What is l?
-94, -1, 2
De