 = 0.
2, 5
Solve -3*t**4/4 - 21*t**3/4 + 15*t**2/2 + 12*t = 0 for t.
-8, -1, 0, 2
Factor h**5/8 + h**4 + 9*h**3/4 + 2*h**2 + 5*h/8.
h*(h + 1)**3*(h + 5)/8
Suppose z**4/8 + 29*z**3/8 + 39*z**2/4 = 0. What is z?
-26, -3, 0
Let -2*h**2/3 - 32*h - 384 = 0. What is h?
-24
Determine m, given that -2*m**4 + 2*m**3 + 24*m**2 - 56*m + 32 = 0.
-4, 1, 2
Suppose 3*w**2 - 3*w - 6 = 0. What is w?
-1, 2
Solve p**3/3 - 94*p**2 + 8836*p - 830584/3 = 0 for p.
94
Determine a, given that -a**3 + 2*a**2 = 0.
0, 2
Suppose 2*t**5/7 - 2*t**4 + 8*t**3/7 + 24*t**2/7 = 0. Calculate t.
-1, 0, 2, 6
Factor 4*b**5 + 116*b**4 + 1188*b**3 + 4860*b**2 + 5832*b.
4*b*(b + 2)*(b + 9)**3
Find t, given that -15*t**5 - 81*t**4 + 159*t**3 - 63*t**2 = 0.
-7, 0, 3/5, 1
Factor 2*g**4/7 - 4*g**3/7 - 8*g**2/7 + 4*g/7 + 6/7.
2*(g - 3)*(g - 1)*(g + 1)**2/7
Factor 4*y**3/5 + 10128*y**2/5 + 8548032*y/5 + 2404846336/5.
4*(y + 844)**3/5
Factor -3*p**3 - 21*p**2/2 + 81*p/2 - 27.
-3*(p - 1)*(p + 6)*(2*p - 3)/2
Find x, given that 6*x**4/13 - 20*x**3/13 + 8*x**2/13 + 16*x/13 = 0.
-2/3, 0, 2
Solve 5*n**2/3 + 5620*n/3 + 1579220/3 = 0 for n.
-562
Determine d so that d**3/3 + 2*d**2 - 7*d/3 = 0.
-7, 0, 1
Determine n, given that 55*n**2 + 200*n - 80 = 0.
-4, 4/11
Determine b, given that 3*b**3 - 114*b**2 + 321*b - 210 = 0.
1, 2, 35
Factor 2*u**2/15 - 34*u/15 - 56/5.
2*(u - 21)*(u + 4)/15
Factor -2*f**4 - 14*f**3 - 26*f**2 + 6*f + 36.
-2*(f - 1)*(f + 2)*(f + 3)**2
Solve -4*c**4 - 4*c**3 + 12*c**2 + 20*c + 8 = 0.
-1, 2
Factor a**4/8 + 37*a**3/8 + 35*a**2/8 - 37*a/8 - 9/2.
(a - 1)*(a + 1)**2*(a + 36)/8
Factor b**2/4 - 267*b/2 + 533/4.
(b - 533)*(b - 1)/4
Find o, given that -2*o**4/19 + 144*o**3/19 - 136*o**2 - 576*o/19 + 10368/19 = 0.
-2, 2, 36
Factor 5*m**4 + 55*m**3 + 165*m**2 + 25*m - 250.
5*(m - 1)*(m + 2)*(m + 5)**2
Determine c so that 512*c**5 + 1920*c**4 - 568*c**3 - 228*c**2 - 16*c = 0.
-4, -1/8, 0, 1/2
Determine x so that 4*x**5 - 40*x**4 + 116*x**3 - 128*x**2 + 48*x = 0.
0, 1, 2, 6
Factor -m**2 - 6680*m - 11155600.
-(m + 3340)**2
Factor 4*u**4 - 68*u**3 + 288*u**2.
4*u**2*(u - 9)*(u - 8)
Solve -240*m**4 - 48*m**3 + 15*m**2 + 3*m = 0.
-1/4, -1/5, 0, 1/4
Let 4*b**3/9 + 59*b**2/3 - 104*b - 245/9 = 0. What is b?
-49, -1/4, 5
Determine q, given that 4*q**4 + 29*q**3 - 25*q**2 - 8*q = 0.
-8, -1/4, 0, 1
Solve -f**5/5 + 43*f**4/10 - 2*f**3 - 21*f**2/10 = 0.
-1/2, 0, 1, 21
Factor -3*i**3/7 - 720*i**2/7 - 717*i/7.
-3*i*(i + 1)*(i + 239)/7
Factor 4*f**2 - 276*f - 2808.
4*(f - 78)*(f + 9)
Find w, given that -3*w**2/4 + 99*w - 3267 = 0.
66
Factor -h**3/2 - 3*h**2/2 + 9*h.
-h*(h - 3)*(h + 6)/2
Factor -v**3 + 41*v**2 + 42*v.
-v*(v - 42)*(v + 1)
Determine s, given that -3*s**2/2 + 87*s/2 + 315 = 0.
-6, 35
Factor 2*v**5/7 + 2*v**4/7 - 144*v**3/7.
2*v**3*(v - 8)*(v + 9)/7
Find o, given that -o**3/3 + 26*o**2 - 532*o + 2888/3 = 0.
2, 38
Find u such that -u**5 + 3*u**4 + 22*u**3 - 52*u**2 - 72*u + 160 = 0.
-4, -2, 2, 5
Suppose -h**5/2 - 51*h**4/2 - 577*h**3/2 + 1311*h**2/2 - 341*h = 0. Calculate h.
-31, -22, 0, 1
Suppose -28*r**2/5 - 16*r/5 = 0. Calculate r.
-4/7, 0
Factor 5*y**3 + 50*y**2 - 285*y - 1170.
5*(y - 6)*(y + 3)*(y + 13)
What is v in -162*v**5/11 + 882*v**4/11 - 368*v**3/11 + 40*v**2/11 = 0?
0, 2/9, 5
Factor 4*b**4 - 15*b**3 - 4*b**2.
b**2*(b - 4)*(4*b + 1)
Find o, given that -o**4/9 + 10*o**3/9 + 139*o**2/9 + 140*o/9 - 100 = 0.
-5, 2, 18
Let 3*h**4 - 69*h**3 - 486*h**2 - 1020*h - 696 = 0. Calculate h.
-2, 29
Factor x**2/3 + 17*x/3.
x*(x + 17)/3
Determine d so that -d**4 + 1064*d**3 - 2125*d**2 + 1062*d = 0.
0, 1, 1062
Solve 2*u**4/9 + 8*u**3/9 - 4*u**2/9 - 8*u/3 + 2 = 0 for u.
-3, 1
Let -10*k**2/3 + 494*k/3 - 196/3 = 0. Calculate k.
2/5, 49
Factor 2*k**3/7 - 20*k**2/7 - 54*k/7 + 72/7.
2*(k - 12)*(k - 1)*(k + 3)/7
Find n such that 2*n**5/11 - 2*n**4 + 46*n**3/11 + 94*n**2/11 - 48*n/11 - 72/11 = 0.
-1, 1, 6
Factor -3*k**4 + 63*k**3 - 291*k**2 - 495*k + 726.
-3*(k - 11)**2*(k - 1)*(k + 2)
Solve -4*t**2 + 212*t - 408 = 0.
2, 51
Factor 30*z**4/7 - 8*z**3 + 22*z**2/7 + 4*z/7.
2*z*(z - 1)**2*(15*z + 2)/7
Factor -36*u**3 + 112*u**2 + 28*u - 120.
-4*(u - 3)*(u + 1)*(9*u - 10)
Determine m so that 25*m**2 + 3935*m + 1570 = 0.
-157, -2/5
Solve -2*f**4 - 1178*f**3/5 - 35736*f**2/5 - 12296*f - 26912/5 = 0.
-58, -1, -4/5
Find y, given that 2*y**3/7 - 50*y**2/7 - 52*y/7 = 0.
-1, 0, 26
Factor o**3/5 + 4*o**2/5 + 3*o/5.
o*(o + 1)*(o + 3)/5
Factor 2*m**3/21 - 2*m**2/21 - 74*m/21 - 10/3.
2*(m - 7)*(m + 1)*(m + 5)/21
Suppose 4*k**4 + 8*k**3 - 148*k**2 + 328*k - 192 = 0. Calculate k.
-8, 1, 2, 3
Factor 3*q**2 + 264*q + 5808.
3*(q + 44)**2
Factor -4*u**4 + 184*u**3 - 516*u**2 - 16*u + 688.
-4*(u - 43)*(u - 2)**2*(u + 1)
Determine c so that -2*c**3/5 + 6*c**2/5 - 4*c/5 = 0.
0, 1, 2
Let 2*g**2/3 - 92*g/3 = 0. What is g?
0, 46
Suppose 2*p**4/5 + 464*p**3/5 + 276*p**2 + 1376*p/5 + 458/5 = 0. What is p?
-229, -1
Determine v so that 3*v**2 + 1227*v = 0.
-409, 0
Factor y**4/5 + 6*y**3/5 + y**2.
y**2*(y + 1)*(y + 5)/5
Let -p**5/4 + 11*p**4/4 - 19*p**3/4 + 9*p**2/4 = 0. Calculate p.
0, 1, 9
Factor 2*h**4/15 + 496*h**3/15 + 10084*h**2/5 - 12400*h/3 + 6250/3.
2*(h - 1)**2*(h + 125)**2/15
Determine c so that 4*c**3/7 - 12*c**2/7 = 0.
0, 3
Factor -4*o**3 + 204*o**2 - 380*o - 588.
-4*(o - 49)*(o - 3)*(o + 1)
Suppose 14*q**4/5 - 368*q**3/5 + 18*q**2 + 368*q/5 - 104/5 = 0. What is q?
-1, 2/7, 1, 26
Factor 3*s**2 + 18*s - 21.
3*(s - 1)*(s + 7)
Solve -3*c**5 + 27*c**4 + 231*c**3 + 549*c**2 + 528*c + 180 = 0 for c.
-2, -1, 15
Let -t**5/3 + 5*t**3/3 - 4*t/3 = 0. Calculate t.
-2, -1, 0, 1, 2
Solve 12*g**5 + 208*g**4 - 424*g**3 - 848*g**2 - 228*g = 0 for g.
-19, -1, -1/3, 0, 3
Find n such that 6*n**4 - 2078*n**3 + 688*n**2 + 1384*n = 0.
-2/3, 0, 1, 346
What is i in i**4/2 - 11*i**3 + 44*i**2 + 123*i + 135/2 = 0?
-1, 9, 15
Factor g**5/3 - 5*g**4 + 46*g**3/3 + 32*g**2 - 128*g/3.
g*(g - 8)**2*(g - 1)*(g + 2)/3
What is c in 3*c**4/2 - 81*c**3 + 1092*c**2 + 81*c - 2187/2 = 0?
-1, 1, 27
Factor -2*l**4/3 - 10*l**3/3 - 16*l**2/3 - 8*l/3.
-2*l*(l + 1)*(l + 2)**2/3
Solve 3*p**5/8 - 13*p**4/8 - 19*p**3/2 + 49*p**2/2 + 56*p + 24 = 0.
-4, -1, -2/3, 4, 6
Determine t so that -2*t**4/9 - 4*t**3/9 + 2*t**2/9 + 4*t/9 = 0.
-2, -1, 0, 1
Find x such that -2*x**5/3 - 4*x**4/15 + 46*x**3/3 + 272*x**2/15 - 328*x/15 - 32/3 = 0.
-4, -2, -2/5, 1, 5
Let -h**4/2 - 25*h**3/2 - 33*h**2 + 2*h + 44 = 0. Calculate h.
-22, -2, 1
Suppose r**3 + r**2 - r - 1 = 0. Calculate r.
-1, 1
Determine d, given that 4*d**4/9 - 40*d**3/9 - 32*d**2/3 = 0.
-2, 0, 12
Factor d**2/5 + 11*d/5.
d*(d + 11)/5
Factor 2*p**2/13 + 23416*p/13 + 68538632/13.
2*(p + 5854)**2/13
What is w in 2*w**5/3 + 34*w**4/3 - 38*w**3/3 - 34*w**2/3 + 12*w = 0?
-18, -1, 0, 1
Solve n**5/9 - 229*n**4/9 + 8507*n**3/9 + 524857*n**2/9 + 1850552*n/3 + 559504 = 0.
-17, -1, 132
Factor 5*o**3 + 15*o**2 + 10*o.
5*o*(o + 1)*(o + 2)
Solve 3104*p**3 - 1504*p**2 + 170*p + 3 = 0 for p.
-3/194, 1/4
Suppose 14*z**5 - 18*z**4 - 66*z**3 - 22*z**2 + 12*z = 0. Calculate z.
-1, 0, 2/7, 3
Factor 2*q**4/7 - 8*q**3/7 - 22*q**2/7 - 12*q/7.
2*q*(q - 6)*(q + 1)**2/7
Determine c, given that -5*c**4 - 100*c**3 + 215*c**2 - 110*c = 0.
-22, 0, 1
Factor z**2 + 6980*z + 12180100.
(z + 3490)**2
What is y in -y**4/6 - 53*y**3/6 - 153*y**2 - 810*y + 972 = 0?
-18, 1
Let -3*g**5 + 12*g**4/5 + 3*g**3 - 12*g**2/5 = 0. Calculate g.
-1, 0, 4/5, 1
Determine y so that 3*y**5 - 27*y**4 + 27*y**3 + 147*y**2 + 90*y = 0.
-1, 0, 5, 6
What is s in 63*s**4 + 429*s**3 - 705*s**2 - 129*s + 342 = 0?
-57/7, -2/3, 1
Solve -3*r**3 - 1245*r**2 + 3*r + 1245 = 0 for r.
-415, -1, 1
Let 2*x**5/11 - 4*x**4/11 - 4*x**3/11 + 16*x**2/11 - 14*x/11 + 4/11 = 0. What is x?
-2, 1
Find z, given that 5*z**4/2 + 35*z**3 + 105*z**2/2 - 90*z = 0.
-12, -3, 0, 1
Factor 8450*k**3/7 - 29380*k**2/7 + 4224*k - 9216/7.
2*(k - 2)*(65*k - 48)**2/7
Factor 44*b**5 + 144*b**4 + 36*b**3.
4*b**3*(b + 3)*(11*b + 3)
Determine i so that -2*i**4 - 32*i**3 + 358*i**2 - 612*i + 288 = 0.
-24, 1, 6
Factor -j**3/3 - 50*j**2.
-j**2*(j + 150)/3
Find j, given that -j**2/4 - 27*j/4 - 25/2 = 0.
-25, -2
Find n such that n**3/2 + 265*n**2/2 + 1036*n + 2056 = 0.
-257, -4
Factor 4*d**2/9 - 200*d - 1804/9.
4*(d - 451)*(d + 1)/9
Factor -5*r**3/2 - 115*r**2/2 - 235*r - 180.
-5*(r + 1)*(r + 4)*(r + 18)/2
Factor -6*y**4 - 129*y**3 -