2 + 2625*p - 3870 = 0. What is p?
3, 86
Factor -c**2/4 + 13*c/2 + 315/4.
-(c - 35)*(c + 9)/4
Find y such that -y**5 - y**4 + 483*y**3 - 3263*y**2 - 8450*y = 0.
-25, -2, 0, 13
Let 12*w**5 - 19892*w**4/7 + 1568936*w**3/7 - 41114760*w**2/7 - 7963516*w/7 + 1972156/7 = 0. What is w?
-1/3, 1/7, 79
Determine z, given that 2*z**2/7 - 22*z/7 - 24/7 = 0.
-1, 12
Factor 2*u**2/7 + 4*u/7 - 48/7.
2*(u - 4)*(u + 6)/7
Solve -4*s**5 - 44*s**4 - 52*s**3 + 204*s**2 + 216*s = 0.
-9, -3, -1, 0, 2
Factor -4*b**4 - 8*b**3.
-4*b**3*(b + 2)
Find y such that -6*y**2 + 128*y - 160 = 0.
4/3, 20
Factor -2*k**2/5 - 334*k/5.
-2*k*(k + 167)/5
Let -3*n**3 + 81*n**2/5 - 18*n + 24/5 = 0. Calculate n.
2/5, 1, 4
Factor -3*o**3 + 18*o**2 + 435*o - 1386.
-3*(o - 14)*(o - 3)*(o + 11)
Solve 4*p**2/3 - 1640*p/3 + 168100/3 = 0 for p.
205
Find k, given that 6*k**3 + 2883*k**2/2 + 86760*k + 21600 = 0.
-120, -1/4
Factor 4*g**4 + 76*g**3 + 296*g**2 + 224*g.
4*g*(g + 1)*(g + 4)*(g + 14)
Suppose -z**2/3 - 16*z/3 + 44 = 0. Calculate z.
-22, 6
Determine t, given that -42*t**5/5 + 68*t**4/5 + 12*t**3/5 - 64*t**2/5 + 6*t - 4/5 = 0.
-1, 2/7, 1/3, 1
Suppose x**3 + 12*x**2 - 27*x + 14 = 0. Calculate x.
-14, 1
Let -8*h**5/11 + 32*h**4/11 - 18*h**3/11 - 26*h**2/11 + 26*h/11 - 6/11 = 0. What is h?
-1, 1/2, 1, 3
Suppose -x**3/4 - 27*x**2/4 - 51*x/4 - 25/4 = 0. What is x?
-25, -1
Find g such that 3*g**5 - 117*g**4 - 3*g**3 + 117*g**2 = 0.
-1, 0, 1, 39
Factor -25*i**3 + 820*i**2 + 165*i.
-5*i*(i - 33)*(5*i + 1)
Factor 2*m**4 + 12*m**3 - 64*m.
2*m*(m - 2)*(m + 4)**2
Find q, given that -18*q**3 - 12452*q**2 - 2152120*q + 478864 = 0.
-346, 2/9
Factor l**2 - 21*l + 54.
(l - 18)*(l - 3)
Factor 4*h**3 - 32*h**2 - 44*h + 72.
4*(h - 9)*(h - 1)*(h + 2)
Factor -4*i**3/3 - 20*i**2/3 + 88*i/3 - 64/3.
-4*(i - 2)*(i - 1)*(i + 8)/3
Find x, given that -3*x**5 + 609*x**4 - 41610*x**3 + 983694*x**2 - 1844979*x + 902289 = 0.
1, 67
Let -2*w**4/3 - 19*w**3/3 - 15*w**2 - 6*w = 0. Calculate w.
-6, -3, -1/2, 0
Solve 8*k**5/3 + 194*k**4/3 + 40*k**3/3 - 194*k**2/3 - 16*k = 0.
-24, -1, -1/4, 0, 1
Determine w, given that 5*w**3 + 445*w**2 + 5035*w - 238765 = 0.
-53, 17
Determine a so that 2*a**2 + 3820*a + 1824050 = 0.
-955
Let -2*b**3/11 + 40*b**2/11 - 128*b/11 = 0. Calculate b.
0, 4, 16
Factor 2*u**3/3 - 74*u**2/3 + 180*u.
2*u*(u - 27)*(u - 10)/3
Factor 2*o**5/7 - 176*o**4/7 + 4042*o**3/7 - 7396*o**2/7.
2*o**2*(o - 43)**2*(o - 2)/7
Factor -2*t**2/5 + 64*t - 2560.
-2*(t - 80)**2/5
Factor -2*i**3/3 + 52*i**2/3 - 184*i/3 + 176/3.
-2*(i - 22)*(i - 2)**2/3
Factor 3*b**3 + 516*b**2 - 2100*b + 2112.
3*(b - 2)**2*(b + 176)
Factor -16*y**2 - 364*y + 1236.
-4*(y - 3)*(4*y + 103)
Factor -5*q**2 - 2270*q + 2275.
-5*(q - 1)*(q + 455)
Factor q**2/5 - 54*q/5 + 608/5.
(q - 38)*(q - 16)/5
Factor -2*v**2/7 + 2592*v - 5878656.
-2*(v - 4536)**2/7
Factor -2*w**3/11 + 74*w**2/11 - 140*w/11.
-2*w*(w - 35)*(w - 2)/11
Suppose 5*g**5 - 1035*g**4 - 3160*g**3 + 2040*g**2 + 12560*g + 8400 = 0. What is g?
-2, -1, 2, 210
Find a such that -2*a**3/11 - 1008*a**2/11 + 2022*a/11 - 92 = 0.
-506, 1
Factor -4*l**3/7 + 164*l**2/7 + 16*l/7 - 656/7.
-4*(l - 41)*(l - 2)*(l + 2)/7
Find v, given that 2*v**5 - 10*v**3 + 8*v = 0.
-2, -1, 0, 1, 2
What is v in v**2/2 - 117*v/2 = 0?
0, 117
Factor t**4 + 8*t**3 + 22*t**2 + 24*t + 9.
(t + 1)**2*(t + 3)**2
Determine r so that -5*r**5 + 40*r**4 = 0.
0, 8
Factor -q**2/6 + 23*q/3 + 1235/6.
-(q - 65)*(q + 19)/6
Factor 2*j**2/9 + 4*j + 34/9.
2*(j + 1)*(j + 17)/9
Determine i, given that 4*i**5 + 236*i**4 + 228*i**3 - 236*i**2 - 232*i = 0.
-58, -1, 0, 1
Factor -9*k**2/4 - 21*k/4 + 9/2.
-3*(k + 3)*(3*k - 2)/4
Find v such that -12*v**3/5 - 468*v**2/5 - 459*v/5 - 114/5 = 0.
-38, -1/2
Suppose 5*j**2 - 135*j - 140 = 0. What is j?
-1, 28
Factor 360*t**2 - 2157*t/2 - 9/2.
3*(t - 3)*(240*t + 1)/2
Suppose -4*g**2 - 3704*g - 3700 = 0. What is g?
-925, -1
Factor 18*u**3/17 - 76*u**2/17 - 362*u/17 + 84/17.
2*(u - 7)*(u + 3)*(9*u - 2)/17
Let 832*b**2 + 12*b = 0. Calculate b.
-3/208, 0
Let 2*f**2/15 + 286*f/15 - 96/5 = 0. Calculate f.
-144, 1
Solve 2*r**5 + 612*r**4 + 61170*r**3 + 1865968*r**2 - 12914304*r + 20247552 = 0 for r.
-104, 3
Factor 4*p**2/13 + 66*p/13.
2*p*(2*p + 33)/13
Factor -l**2/7 + 23*l.
-l*(l - 161)/7
What is x in -x**4 + 66*x**3 + 348*x**2 + 494*x + 213 = 0?
-3, -1, 71
Determine m so that -2*m**2/7 + 6252*m/7 - 6250/7 = 0.
1, 3125
Factor -10*w**2 - 148*w + 30.
-2*(w + 15)*(5*w - 1)
Factor -2*h**2/7 - 192*h/7 - 4608/7.
-2*(h + 48)**2/7
Factor -3*s**2 - 117*s + 810.
-3*(s - 6)*(s + 45)
Factor 2*v**4/11 - 58*v**3/11 + 430*v**2/11 - 950*v/11.
2*v*(v - 19)*(v - 5)**2/11
Find f such that 2*f**4/13 - 48*f**3/13 + 42*f**2/13 + 92*f/13 = 0.
-1, 0, 2, 23
Factor 4*s**4/3 - 3524*s**3 - 7052*s**2 - 10580*s/3.
4*s*(s - 2645)*(s + 1)**2/3
Find r, given that 6*r**5 - 140*r**4 + 808*r**3 - 884*r**2 + 210*r = 0.
0, 1/3, 1, 7, 15
Factor -25*c**2/3 - 28*c/3 - 1.
-(c + 1)*(25*c + 3)/3
Find l such that -3*l**2 + 411*l + 414 = 0.
-1, 138
Suppose -4*g**5 - 52*g**4 - 168*g**3 - 232*g**2 - 148*g - 36 = 0. What is g?
-9, -1
Let -h**3/2 - 4*h**2 + h/2 + 4 = 0. Calculate h.
-8, -1, 1
Let -3*m**2/4 - 723*m/4 - 180 = 0. What is m?
-240, -1
Solve -j**3 - 7*j**2 + 10*j + 16 = 0 for j.
-8, -1, 2
Factor -3*c**2/8 + 9*c + 75/8.
-3*(c - 25)*(c + 1)/8
Factor 2*q**3 - 80*q**2 - 902*q + 980.
2*(q - 49)*(q - 1)*(q + 10)
Let 4*x**3 + 360*x**2 - 1108*x + 744 = 0. What is x?
-93, 1, 2
Factor 3*z**5 - 12*z**4 - 3*z**3 + 12*z**2.
3*z**2*(z - 4)*(z - 1)*(z + 1)
Factor 8*a**3 + 174*a**2 - 428*a + 96.
2*(a - 2)*(a + 24)*(4*a - 1)
Factor -2*j**3 - 1998*j**2 - 499998*j - 498002.
-2*(j + 1)*(j + 499)**2
Factor 4*y**4 + 20*y**3 + 4*y**2 - 84*y - 72.
4*(y - 2)*(y + 1)*(y + 3)**2
Factor 4*g**2 - 260*g + 256.
4*(g - 64)*(g - 1)
Solve -5*a**2 + 95*a = 0.
0, 19
Factor -2*b**3/3 - 716*b**2/15 + 96*b/5.
-2*b*(b + 72)*(5*b - 2)/15
Factor -392*h**2/5 + 1064*h/5 - 722/5.
-2*(14*h - 19)**2/5
Factor 2*o**2/7 + 4*o/7 - 30/7.
2*(o - 3)*(o + 5)/7
Suppose h**5 + 30*h**4 - 34*h**3 - 92*h**2 + 33*h + 62 = 0. Calculate h.
-31, -1, 1, 2
Solve -5*h**5 - 25*h**4 + 80*h**3 + 340*h**2 + 240*h = 0 for h.
-6, -2, -1, 0, 4
Factor 2*b**3/3 - 94*b**2/3 - 32*b.
2*b*(b - 48)*(b + 1)/3
Factor 4*i**5 - 20*i**4 - 24*i**3.
4*i**3*(i - 6)*(i + 1)
Find f such that 3*f**5/5 + 27*f**4/5 + 18*f**3/5 - 48*f**2/5 = 0.
-8, -2, 0, 1
Factor 5*f**2 - 1810*f + 163805.
5*(f - 181)**2
Let 10*l**4 + 34*l**3 - 74*l**2 + 30*l = 0. What is l?
-5, 0, 3/5, 1
Determine k so that 5*k**2 - 940*k + 44180 = 0.
94
Factor -3*h**2 + 324*h + 660.
-3*(h - 110)*(h + 2)
Determine q so that -2*q**3/5 + 2*q**2 + 28*q/5 = 0.
-2, 0, 7
Factor -q**2 + 109*q.
-q*(q - 109)
Find x, given that -3*x**3 - 30*x**2 - 21*x + 54 = 0.
-9, -2, 1
Suppose g**4/5 - 3952*g**3/5 + 5856864*g**2/5 - 3857721088*g/5 + 952857108736/5 = 0. Calculate g.
988
Solve -3*y**4/4 - 429*y**3/4 + 873*y**2/4 + 429*y/4 - 435/2 = 0 for y.
-145, -1, 1, 2
Factor -2*d**2/7 + 102*d/7 - 100/7.
-2*(d - 50)*(d - 1)/7
Factor -d**2 + 23*d - 42.
-(d - 21)*(d - 2)
Determine a, given that -2*a**4/7 + 18*a**2/7 = 0.
-3, 0, 3
Find a, given that 2*a**4 - 38*a**3 + 58*a**2 + 182*a - 204 = 0.
-2, 1, 3, 17
Factor 4*k**2 - 132*k - 3136.
4*(k - 49)*(k + 16)
Factor -2*d**2/3 - d/6 + 3.
-(d - 2)*(4*d + 9)/6
Factor -3*f**4/2 + 447*f**3 - 68367*f**2/2 + 131418*f - 129654.
-3*(f - 147)**2*(f - 2)**2/2
Factor -u**2 + 15*u.
-u*(u - 15)
Factor p**2 + 1164*p + 338724.
(p + 582)**2
What is a in -5*a**3 - 1350*a**2 - 121500*a - 3645000 = 0?
-90
Factor d**5 - 15*d**3 + 10*d**2 + 60*d - 72.
(d - 2)**3*(d + 3)**2
Find y such that y**4/6 + y**3/6 - 7*y**2/6 - y/6 + 1 = 0.
-3, -1, 1, 2
Factor 12*k**3 + 8*k**2.
4*k**2*(3*k + 2)
Find k, given that -4*k**3 + 52*k**2 + 208*k - 256 = 0.
-4, 1, 16
Factor -2*b**4/9 - 88*b**3/9 - 136*b**2 - 576*b.
-2*b*(b + 8)*(b + 18)**2/9
Let -2*f**2/17 + 92*f/17 - 546/17 = 0. Calculate f.
7, 39
Factor -4*n**2/3 - 392*n/3 - 9604/3.
-4*(n + 49)**2/3
Factor -4*u**4/5 + 8*u**2/5 - 4/5.
-4*(u - 1)**2*(u + 1)**2/5
What is i in 2*i**2/17 + 218*i/17 - 1140/17 = 0?
-114, 5
Solve -4*i**4 + 21*i**3 + 123*i**2 + 112*i - 36 = 0 for i.
-2, 1/4, 9
Factor 3*r**4 + 9*r**3 - 12*r**2 - 36*r.
3*r*(r - 2)*(r + 2)*(r + 3)
Determine c, given that c**3/2 + 53*c**2/2 - 109*c/2 + 55/2 = 0.
-55, 1
Factor -4*o**2 - 880*o 