 is p?
3, 13
Factor -2*m**3/3 - 192*m**2 - 12600*m + 180000.
-2*(m - 12)*(m + 150)**2/3
Find s such that s**3/5 - 2*s**2 + 9*s/5 = 0.
0, 1, 9
Let 2*a**3 + 42*a**2 + 78*a - 1690 = 0. What is a?
-13, 5
Factor -2*q**2/5 + 44*q/5 + 46/5.
-2*(q - 23)*(q + 1)/5
Find z, given that -z**5/7 + 2*z**4/7 + 5*z**3/7 - 10*z**2/7 - 4*z/7 + 8/7 = 0.
-2, -1, 1, 2
Factor -d**3/2 + 5*d**2 + 69*d/2 + 45.
-(d - 15)*(d + 2)*(d + 3)/2
Suppose 5*h**2 + 17960*h + 17955 = 0. Calculate h.
-3591, -1
Factor 21*i**2/2 - 75*i + 132.
3*(i - 4)*(7*i - 22)/2
Factor 2*r**3/21 + 10*r**2/21 - 16*r/21 - 8/7.
2*(r - 2)*(r + 1)*(r + 6)/21
Determine d, given that -2*d**4 - 490*d**3 - 29766*d**2 + 30258*d = 0.
-123, 0, 1
Determine d so that 3*d**4 - 57*d**3 + 150*d**2 - 96*d = 0.
0, 1, 2, 16
Let 3*d**2 + 1542*d + 198147 = 0. What is d?
-257
What is i in -3*i**4 + 192*i**3 - 3429*i**2 + 11340*i - 8100 = 0?
1, 3, 30
Factor -16*k**2 + 118*k - 216.
-2*(k - 4)*(8*k - 27)
Find m, given that -m**2/11 + 57*m/11 - 212/11 = 0.
4, 53
What is b in 2*b**2/3 + 395*b - 593/3 = 0?
-593, 1/2
Let -3*s**5/4 - 51*s**4/4 - 201*s**3/4 + 483*s**2/4 + 588*s - 1029 = 0. Calculate s.
-7, 2
Let 2*s**5/15 + 68*s**4/15 - 446*s**3/5 + 6236*s**2/15 - 11224*s/15 + 2352/5 = 0. What is s?
-49, 2, 9
Factor -2*x**2/15 - 8*x/15.
-2*x*(x + 4)/15
Factor 10*s**2 - 155*s/2 + 105/2.
5*(s - 7)*(4*s - 3)/2
Suppose -u**2/3 - 49*u - 290/3 = 0. What is u?
-145, -2
Find t such that -t**2/2 - 287*t - 572 = 0.
-572, -2
Factor -2*z**2 + 866*z + 868.
-2*(z - 434)*(z + 1)
Let 2*w**4/9 + 4*w**3/3 + 2*w**2/3 - 20*w/9 = 0. What is w?
-5, -2, 0, 1
Suppose n**4 - 11*n**2 - 18*n - 8 = 0. What is n?
-2, -1, 4
Find r, given that 5*r**5 + 5*r**4 - 150*r**3 + 370*r**2 - 335*r + 105 = 0.
-7, 1, 3
What is x in x**2 + 662*x + 661 = 0?
-661, -1
Suppose 5*f**2 - 100*f = 0. Calculate f.
0, 20
Factor 2*k**3/15 - 2*k**2/5 + 2*k/5 - 2/15.
2*(k - 1)**3/15
Determine a so that -2*a**3 - 214*a**2 - 5152*a + 31360 = 0.
-56, 5
Solve -5*t**3 - 630*t**2 + 8100*t - 24840 = 0.
-138, 6
Suppose 4*o**3/9 + 200*o**2/3 + 1772*o/9 + 392/3 = 0. What is o?
-147, -2, -1
Find i such that 10*i**2 + 56*i - 24 = 0.
-6, 2/5
What is f in f**2/5 - 11*f/5 = 0?
0, 11
Factor -2*z**3/5 + 298*z**2/5 + 602*z/5 + 302/5.
-2*(z - 151)*(z + 1)**2/5
Factor i**3/8 - 7*i**2/8 + 3*i/4.
i*(i - 6)*(i - 1)/8
Let -15*w**4 + 205*w**3 + 85*w**2 - 205*w - 70 = 0. What is w?
-1, -1/3, 1, 14
Suppose -17*z**2/4 - 61*z - 21 = 0. Calculate z.
-14, -6/17
Factor 4*u**2 + 88*u - 540.
4*(u - 5)*(u + 27)
Let u**3/4 + 37*u**2/4 + 135*u/4 + 99/4 = 0. What is u?
-33, -3, -1
Factor 5*w**5 - 60*w**4 - 135*w**3 - 70*w**2.
5*w**2*(w - 14)*(w + 1)**2
Factor r**4 - 9*r**3 - 12*r**2 + 160*r.
r*(r - 8)*(r - 5)*(r + 4)
Let -3*z**4 + 6*z**3 + 147*z**2 + 354*z + 216 = 0. Calculate z.
-4, -2, -1, 9
Factor -5*m**4 - 55*m**3 + 65*m**2 + 55*m - 60.
-5*(m - 1)**2*(m + 1)*(m + 12)
Factor 3*v**5 - 69*v**4 - 150*v**3 - 6*v**2 + 147*v + 75.
3*(v - 25)*(v - 1)*(v + 1)**3
Find g such that -4*g**3/3 + 776*g**2/3 + 2380*g/3 - 3152/3 = 0.
-4, 1, 197
Factor -d**2/5 + 48*d/5 + 49/5.
-(d - 49)*(d + 1)/5
Factor 5*r**4/3 - 135*r**3 + 265*r**2 - 395*r/3.
5*r*(r - 79)*(r - 1)**2/3
Factor 2*n**4/3 - 26*n**3/3 + 32*n**2 - 24*n.
2*n*(n - 6)**2*(n - 1)/3
Solve 3*o**4/4 + 6*o**3 - 99*o**2/4 = 0.
-11, 0, 3
Determine f, given that f**2/4 - 21*f/4 + 19/2 = 0.
2, 19
Solve q**3 + 58*q**2 + 57*q = 0.
-57, -1, 0
Suppose 2*l**2 + 10*l + 12 = 0. What is l?
-3, -2
Factor -x**2/4 - 9*x/4.
-x*(x + 9)/4
Let 2*o**4/17 - 90*o**2/17 + 80*o/17 + 168/17 = 0. Calculate o.
-7, -1, 2, 6
Suppose -2*j**4/15 - 46*j**3/15 - 12*j**2 + 440*j/3 + 2800/3 = 0. Calculate j.
-10, 7
Suppose -44*f**3 + 3*f**2 + 2*f = 0. Calculate f.
-2/11, 0, 1/4
Factor 2*n**3/13 + 24*n**2/13 + 64*n/13.
2*n*(n + 4)*(n + 8)/13
Suppose -6*y**5/13 + 2*y**4 - 18*y**3/13 - 58*y**2/13 + 96*y/13 - 40/13 = 0. What is y?
-5/3, 1, 2
Let -2*c**2/13 - 22*c/13 = 0. Calculate c.
-11, 0
Factor -2*u**3/11 - 424*u**2/11 + 1290*u/11.
-2*u*(u - 3)*(u + 215)/11
Suppose 3*p**2 - 10*p + 3 = 0. Calculate p.
1/3, 3
Factor -4*b**4 + 36*b**3 - 36*b**2 - 340*b + 600.
-4*(b - 5)**2*(b - 2)*(b + 3)
Factor 12*m**4 - 9*m**3 - 15*m**2 + 9*m + 3.
3*(m - 1)**2*(m + 1)*(4*m + 1)
Let -a**4/3 - 11*a**3/3 - 20*a**2/3 + 32*a/3 = 0. Calculate a.
-8, -4, 0, 1
Factor -4*z**2 + 60*z + 616.
-4*(z - 22)*(z + 7)
Suppose 12*x**4 + 237*x**3 + 864*x**2 - 1407*x + 294 = 0. What is x?
-14, -7, 1/4, 1
Factor -z**3/5 - 93*z**2/5 + 193*z/5 + 57.
-(z - 3)*(z + 1)*(z + 95)/5
What is u in u**2 - 24*u = 0?
0, 24
Solve -b**2 + 59*b = 0.
0, 59
Factor t**2 - 13*t + 22.
(t - 11)*(t - 2)
Find t such that 8*t**3/7 + 2*t**2/7 = 0.
-1/4, 0
What is x in -2*x**2/7 - 134*x/7 + 136/7 = 0?
-68, 1
Suppose 21*z**5/2 + 69*z**4/2 - 369*z**3/8 - 483*z**2/8 + 75*z/4 + 9 = 0. Calculate z.
-4, -1, -2/7, 1/2, 3/2
Determine a, given that 4*a**3 - 236*a**2 + 680*a - 448 = 0.
1, 2, 56
Solve -35*q**5 + 760*q**4 - 3525*q**3 + 5300*q**2 - 1540*q - 960 = 0.
-2/7, 1, 2, 3, 16
Factor o**4/5 + 18*o**3/5 - 208*o**2/5.
o**2*(o - 8)*(o + 26)/5
Factor -3*t**2/4 + 6*t.
-3*t*(t - 8)/4
What is j in 2*j**3/11 - 74*j**2/11 + 750*j/11 - 1638/11 = 0?
3, 13, 21
Factor b**2 + 25*b + 46.
(b + 2)*(b + 23)
Factor -2*q**2 + 4252*q - 2259938.
-2*(q - 1063)**2
Let f**4/6 - 7*f**3/6 + 5*f**2/3 = 0. Calculate f.
0, 2, 5
Factor 5*h**3 + 220*h**2 + 2185*h - 5290.
5*(h - 2)*(h + 23)**2
Factor -2*l**2 + 216*l - 5832.
-2*(l - 54)**2
Factor -3*w**4 - 1545*w**3 - 198144*w**2 + 199692*w.
-3*w*(w - 1)*(w + 258)**2
Find v, given that 27*v**5/4 - 137*v**4/4 - 935*v**3/4 - 335*v**2/4 + 372*v - 27 = 0.
-3, -2, 2/27, 1, 9
Find q such that q**4/3 + 415*q**3/3 + 42427*q**2/3 - 43681*q = 0.
-209, 0, 3
Find w such that -63*w**5 - 192*w**4 + 1173*w**3 + 186*w**2 - 900*w + 216 = 0.
-6, -1, 2/7, 2/3, 3
Factor 5*u**3 - 225*u**2 + 435*u - 215.
5*(u - 43)*(u - 1)**2
Let -4*m**3/3 + 14*m**2/3 + 28*m/3 + 10/3 = 0. What is m?
-1, -1/2, 5
Factor -2*m**2 + 12*m.
-2*m*(m - 6)
Suppose -5*d**2 + 980*d - 48020 = 0. What is d?
98
Factor 5*b**3/2 + 21*b**2 + 48*b + 16.
(b + 4)**2*(5*b + 2)/2
Suppose -4*i**5 - 132*i**4 + 144*i**3 + 272*i**2 = 0. Calculate i.
-34, -1, 0, 2
Determine w, given that 3*w**5 - 27*w**4 + 69*w**3 - 33*w**2 - 72*w + 60 = 0.
-1, 1, 2, 5
Solve 5*g**5 - 320*g**4 + 6390*g**3 - 38880*g**2 + 32805*g = 0.
0, 1, 9, 27
Let 3*b**2/4 + 27*b/4 - 15/2 = 0. Calculate b.
-10, 1
Suppose -5*z**4 - 75*z**3 + 270*z**2 - 20*z - 360 = 0. Calculate z.
-18, -1, 2
Factor -3*i**5 - 7077*i**4 - 4177197*i**3 - 4170123*i**2.
-3*i**2*(i + 1)*(i + 1179)**2
Factor 5*n**2 + 160*n - 165.
5*(n - 1)*(n + 33)
Suppose 3*s**3 - 426*s**2 - 3*s + 426 = 0. Calculate s.
-1, 1, 142
Factor 2*f**2/7 - 48*f/7 + 288/7.
2*(f - 12)**2/7
What is k in 2*k**5/11 + 56*k**4/11 + 368*k**3/11 + 476*k**2/11 - 370*k/11 - 532/11 = 0?
-19, -7, -2, -1, 1
Factor 3*f**3/4 - 48*f**2.
3*f**2*(f - 64)/4
Solve 147*y**3 + 210*y**2 - 156*y + 24 = 0.
-2, 2/7
Solve 4*r**4 + 64*r**3 + 220*r**2 - 288*r = 0.
-9, -8, 0, 1
Suppose -x**3/6 + 3*x**2 - 16*x/3 = 0. What is x?
0, 2, 16
Factor r**2/6 + 9*r/2 - 119/3.
(r - 7)*(r + 34)/6
Factor -j**5 - 24*j**4 - 66*j**3 - 64*j**2 - 21*j.
-j*(j + 1)**3*(j + 21)
Factor 6*u**5 - 14*u**4 + 4*u**3.
2*u**3*(u - 2)*(3*u - 1)
Factor w**5/6 - w**4/6 - 4*w**3/3 + 2*w**2.
w**2*(w - 2)**2*(w + 3)/6
Let 2*w**3 + 16*w**2 - 62*w + 44 = 0. What is w?
-11, 1, 2
Factor -2*f**2 - 4*f + 70.
-2*(f - 5)*(f + 7)
Factor -c**2 - 294*c - 21609.
-(c + 147)**2
Suppose -22*i**4 - 686*i**3 - 784*i**2 - 120*i = 0. Calculate i.
-30, -1, -2/11, 0
Find l, given that -2*l**3 - 286*l**2 - 4662*l - 20250 = 0.
-125, -9
Factor -39*c**2/2 + 235*c/6 - 1/3.
-(c - 2)*(117*c - 1)/6
Factor 8*g**3/7 - 11*g**2 + 170*g/7 + 75/7.
(g - 5)**2*(8*g + 3)/7
Factor -2*l**2/9 + 58*l/9 + 20/3.
-2*(l - 30)*(l + 1)/9
Factor 5*s**4 - 70*s**3 + 45*s**2 + 1620*s.
5*s*(s - 9)**2*(s + 4)
Factor -2*x**3 + 8*x**2 - 8*x.
-2*x*(x - 2)**2
Solve b**4/3 - 203*b**3/3 + 3532*b**2 - 29200*b/3 - 40000/3 = 0 for b.
-1, 4, 100
Let 3*k**2 + 972*k + 78732 = 0. Calculate k.
-162
Solve -m**3 - 4*m**2 - 4*m = 0 for m.
-2, 0
Find s such that 8*s**3 + 26*s**2 + 22*s + 4 = 0.
-2, -1, -1/4
Find d, given that 4*d**2 - 48*d - 180 = 0.
-3, 15
What is v in 40*v**3 - 1925*v**2 + 23280*v - 2880 = 0?
1/8, 24
Determine i so that -i**3/4 - 