2/9 + 22304*c/9 + 62183552/9 = 0 for c.
-5576
Suppose 3*w**2 + 12744*w + 13534128 = 0. Calculate w.
-2124
Solve 2*y**3/7 + 6*y**2 - 884*y/7 = 0 for y.
-34, 0, 13
Find a, given that -2*a**3 + 20*a**2 + 22*a = 0.
-1, 0, 11
Solve -u**3/6 + 29*u**2/6 + 65*u/6 - 31/2 = 0.
-3, 1, 31
Factor 4*r**2 + 160*r - 164.
4*(r - 1)*(r + 41)
Factor 45*j**2 - 66*j + 21.
3*(j - 1)*(15*j - 7)
Let g**2 - 21*g - 72 = 0. Calculate g.
-3, 24
Factor q**2/8 - 103*q/8 - 105/4.
(q - 105)*(q + 2)/8
Let s**5 - 8*s**4 + 20*s**3 - 10*s**2 - 21*s + 18 = 0. What is s?
-1, 1, 2, 3
Factor -3*i**3 + 54*i**2 + 189*i.
-3*i*(i - 21)*(i + 3)
Let -3*a**2 + 138*a + 288 = 0. Calculate a.
-2, 48
Factor t**4 + 20*t**3 + 69*t**2 + 82*t + 32.
(t + 1)**2*(t + 2)*(t + 16)
Find m such that 3*m**3/2 + 191*m**2/2 + 63*m = 0.
-63, -2/3, 0
Let 82*i**3/19 - 340*i**2/19 + 294*i/19 - 36/19 = 0. What is i?
6/41, 1, 3
Factor m**3/2 - 3*m**2/2 - m/2 + 3/2.
(m - 3)*(m - 1)*(m + 1)/2
Solve -4*h**2 + 52*h - 120 = 0.
3, 10
Factor p**3/4 + 5*p**2 - 21*p/4.
p*(p - 1)*(p + 21)/4
Let -15*p**4 - 40*p**3 + 85*p**2 + 10*p - 40 = 0. Calculate p.
-4, -2/3, 1
Factor -j**5 + 6*j**4 - 13*j**3 + 12*j**2 - 4*j.
-j*(j - 2)**2*(j - 1)**2
Solve -2*h**3/3 - 16*h**2 - 86*h + 308/3 = 0.
-14, -11, 1
Let -32*y**5/3 + 784*y**4/9 - 2182*y**3/9 + 2242*y**2/9 - 110*y/3 - 50 = 0. Calculate y.
-1/3, 5/4, 3
Factor -4*o**2 - 124*o + 560.
-4*(o - 4)*(o + 35)
Find g such that 5*g**3 - 8700*g**2 + 5046000*g - 975560000 = 0.
580
Suppose v**2/3 - 32*v/3 - 11 = 0. What is v?
-1, 33
Solve -2*s**5/5 + 224*s**4/5 - 2694*s**3/5 + 12104*s**2/5 - 22304*s/5 + 12672/5 = 0.
1, 4, 99
Let -2*u**4 - 32*u**3 - 78*u**2 = 0. What is u?
-13, -3, 0
Let 3*i**2/5 - 69*i/5 + 36 = 0. Calculate i.
3, 20
Find w, given that -2*w**3/7 + 58*w**2/7 - 520*w/7 + 200 = 0.
5, 10, 14
Solve -l**2/7 - 11*l/7 - 30/7 = 0.
-6, -5
Suppose -27*u**3 - 1926*u**2 - 2532*u - 840 = 0. Calculate u.
-70, -2/3
Factor 40*t**2 - 325*t + 40.
5*(t - 8)*(8*t - 1)
Factor l**4/2 - 11*l**3/5 - 29*l**2/10 + 7*l.
l*(l - 5)*(l + 2)*(5*l - 7)/10
Factor -5*y**4 - 35*y**3 + 440*y**2 - 700*y.
-5*y*(y - 5)*(y - 2)*(y + 14)
Suppose -15*w**5/2 + 100*w**4 - 170*w**3 - 1120*w**2 - 640*w = 0. Calculate w.
-2, -2/3, 0, 8
Factor -3*f**3/4 + 75*f/4.
-3*f*(f - 5)*(f + 5)/4
Solve -27*r**4/4 - 183*r**3/4 - 30*r**2 + 9*r = 0.
-6, -1, 0, 2/9
Factor -2*y**3/3 - 4*y**2 + 64/3.
-2*(y - 2)*(y + 4)**2/3
Factor d**2/5 - 3342*d/5 + 2792241/5.
(d - 1671)**2/5
Factor -3*d**3/7 + 12*d**2/7 + 12*d + 96/7.
-3*(d - 8)*(d + 2)**2/7
Factor 5*i**5 + 45*i**4 - 80*i**3 - 2080*i**2 - 7680*i - 8960.
5*(i - 7)*(i + 4)**4
Let -o**3 + 20*o**2 + 69*o = 0. Calculate o.
-3, 0, 23
Factor 5*i**4 + 1010*i**3 + 68340*i**2 + 1571150*i + 1503815.
5*(i + 1)*(i + 67)**3
Solve k**3/4 + 451*k**2/4 = 0 for k.
-451, 0
Determine l, given that 4*l**5 + 8*l**4 - 20*l**3 - 40*l**2 + 16*l + 32 = 0.
-2, -1, 1, 2
Solve 4*b**5 - 44*b**4 + 12*b**3 + 972*b**2 - 864*b - 6480 = 0.
-3, 5, 6
Factor 2*m**4/15 + 3272*m**3/15 + 1334972*m**2/15 - 893256*m/5 + 447174/5.
2*(m - 1)**2*(m + 819)**2/15
Let 2*h**2/5 + 24*h + 118/5 = 0. Calculate h.
-59, -1
Determine y so that 3*y**3/7 + 21*y**2 - 168*y = 0.
-56, 0, 7
Factor -256*p**5/3 - 832*p**4/3 - 964*p**3/3 - 460*p**2/3 - 76*p/3 - 4/3.
-4*(p + 1)**3*(8*p + 1)**2/3
Let -q**2/4 - 112*q - 12544 = 0. Calculate q.
-224
Factor 3*l**2/5 + 942*l/5 + 73947/5.
3*(l + 157)**2/5
Suppose 3*n**3/5 + 9*n**2/5 - 27*n + 243/5 = 0. Calculate n.
-9, 3
Factor -2*g**5/11 + 4*g**4 - 290*g**3/11 + 304*g**2/11 + 1664*g/11 + 1024/11.
-2*(g - 8)**3*(g + 1)**2/11
Solve 289*r**5/6 - 2669*r**4/6 + 2421*r**3/2 - 5935*r**2/6 + 556*r/3 - 10 = 0.
2/17, 1, 3, 5
Let -4*t**2 + 600*t - 596 = 0. Calculate t.
1, 149
Solve 2*r**5/7 - 4*r**4/7 - 4*r**3/7 + 8*r**2/7 + 2*r/7 - 4/7 = 0 for r.
-1, 1, 2
Factor -3*h**2 + 426*h + 4560.
-3*(h - 152)*(h + 10)
Factor -3*x**4 - 9*x**3 - 3*x**2 + 9*x + 6.
-3*(x - 1)*(x + 1)**2*(x + 2)
Determine k so that -6*k**4 - 37*k**3/2 + 51*k**2 - 63*k/2 + 5 = 0.
-5, 1/4, 2/3, 1
Find b, given that -2*b**4 - 10*b**3 + 14*b**2 + 10*b - 12 = 0.
-6, -1, 1
Let 16*b**4 - 84*b**3 - 108*b**2 + 224*b - 48 = 0. Calculate b.
-2, 1/4, 1, 6
What is l in l**3/5 + 111*l**2/5 + 1224*l/5 - 23120 = 0?
-68, 25
Factor -l**3/3 - 532*l**2/3 - 1061*l/3 - 530/3.
-(l + 1)**2*(l + 530)/3
Factor 2*u**4/11 + 84*u**3/11 + 882*u**2/11.
2*u**2*(u + 21)**2/11
Solve -27*v**4 - 36*v**3 + 159*v**2 + 24*v - 144 = 0 for v.
-3, -1, 4/3
Determine j so that -5*j**2 + 240*j - 235 = 0.
1, 47
Find w, given that 155*w**2/4 + 387*w/2 - 5/4 = 0.
-5, 1/155
Factor 2*h**3/7 + 4*h**2 + 64*h/7 - 256/7.
2*(h - 2)*(h + 8)**2/7
Find h, given that -2*h**3 + 64*h**2 + 456*h = 0.
-6, 0, 38
Suppose g**3 - 14*g**2 - 468*g + 7128 = 0. Calculate g.
-22, 18
What is a in a**3/4 + 17*a**2/4 - 37*a/4 + 19/4 = 0?
-19, 1
Let 6*g**5/7 - 18*g**4/7 - 6*g**3/7 + 66*g**2/7 - 72*g/7 + 24/7 = 0. What is g?
-2, 1, 2
Solve -2*l**3/15 - 8*l**2/15 - 8*l/15 = 0 for l.
-2, 0
Let 10*m**5/7 - 4*m**4/7 = 0. Calculate m.
0, 2/5
Factor 12*i**2 + 766*i + 630.
2*(i + 63)*(6*i + 5)
Suppose -2*l**2/9 - 122*l/9 - 40/3 = 0. Calculate l.
-60, -1
Solve -8*g**5 - 9*g**4 + 7*g**3 + 9*g**2 + g = 0 for g.
-1, -1/8, 0, 1
Determine r, given that -7*r**2/3 + 5059*r/3 + 482 = 0.
-2/7, 723
Let k**2/4 - 39*k/4 + 27 = 0. What is k?
3, 36
Find d, given that 2*d**4/11 - 14*d**3/11 + 8*d**2/11 + 24*d/11 = 0.
-1, 0, 2, 6
Suppose 2*r**5/5 - 2*r**4 + 6*r**3/5 + 18*r**2/5 = 0. What is r?
-1, 0, 3
Factor -b**2/9 + 14*b/9 - 13/9.
-(b - 13)*(b - 1)/9
Determine h so that 28*h**4 - 36*h**3 - 440*h**2 - 432*h + 160 = 0.
-2, 2/7, 5
Suppose b**2/5 - 234*b/5 + 13689/5 = 0. Calculate b.
117
Let t**2/2 + 37*t + 72 = 0. What is t?
-72, -2
Factor 5*f**4 + 20*f**3 - 185*f**2 - 200*f.
5*f*(f - 5)*(f + 1)*(f + 8)
Factor -2*g**3/13 + 34*g**2/13.
-2*g**2*(g - 17)/13
Determine u, given that -u**5/5 - 2*u**4 + 137*u**3/5 - 126*u**2/5 = 0.
-18, 0, 1, 7
Factor 3*t**2/8 - 4059*t/8 + 4053/4.
3*(t - 1351)*(t - 2)/8
Let 4*g**5/3 - 224*g**4 + 444*g**3 - 664*g**2/3 = 0. What is g?
0, 1, 166
Factor b**4/7 - b**3/7 - b**2 + 13*b/7 - 6/7.
(b - 2)*(b - 1)**2*(b + 3)/7
Factor y**4 + 6*y**3 + 11*y**2 + 6*y.
y*(y + 1)*(y + 2)*(y + 3)
Let w**3 - 43*w**2 + 440*w + 484 = 0. Calculate w.
-1, 22
Factor -3*q**3 + 21*q**2 - 18*q.
-3*q*(q - 6)*(q - 1)
Solve -16*b**3 + 306*b**2 - 1620*b + 1458 = 0.
9/8, 9
Solve 5*c**2 + 940*c + 5460 = 0.
-182, -6
Factor -3*b**2/7 + 135*b/7 + 138/7.
-3*(b - 46)*(b + 1)/7
Factor i**2/2 + 266*i + 35378.
(i + 266)**2/2
Suppose -4*f**2 + 996*f + 1000 = 0. Calculate f.
-1, 250
What is k in -20*k**3/9 + 76*k**2/3 - 448*k/9 + 16 = 0?
2/5, 2, 9
Factor -32*x**3 + 1876*x**2 - 1148*x - 696.
-4*(x - 58)*(x - 1)*(8*x + 3)
Solve -h**2/9 + 8*h/9 + 20/9 = 0 for h.
-2, 10
Let -3*l**3/2 - 102*l**2 - 399*l/2 - 99 = 0. Calculate l.
-66, -1
Solve -2*r**5/15 + 18*r**4/5 - 112*r**3/5 - 392*r**2/15 = 0.
-1, 0, 14
Find u such that 6*u**3/7 + 2140*u**2/7 - 718*u/7 - 204 = 0.
-357, -2/3, 1
Determine r so that r**4/3 - 10*r**3 - 152*r**2 - 1952*r/3 - 896 = 0.
-4, 42
Factor -5*g**2 - 605*g + 13300.
-5*(g - 19)*(g + 140)
Determine u so that u**5 - 2*u**4 - 5*u**3 + 10*u**2 + 4*u - 8 = 0.
-2, -1, 1, 2
Determine p so that -4*p**4 - 1792*p**3 - 204256*p**2 - 795648*p - 788544 = 0.
-222, -2
Factor m**2/4 - 7975*m/2 + 63600625/4.
(m - 7975)**2/4
Solve -x**2/6 - 107*x/3 - 140 = 0.
-210, -4
Suppose -2*u**2/11 - 196*u/11 - 194/11 = 0. Calculate u.
-97, -1
Suppose a**4 + a**3 - 13*a**2 - 25*a - 12 = 0. Calculate a.
-3, -1, 4
Factor -3*d**3/2 + 350*d**2 - 40599*d/2 - 13689.
-(d - 117)**2*(3*d + 2)/2
Find m such that 4*m**3 + 32*m**2 - 36*m = 0.
-9, 0, 1
Let i**2/5 - 14*i + 784/5 = 0. What is i?
14, 56
What is p in -p**4/8 - 3*p**3/4 - 3*p**2/8 + 5*p/4 = 0?
-5, -2, 0, 1
Solve 3*d**4 - 2*d**3 - 12*d**2 + 8*d = 0 for d.
-2, 0, 2/3, 2
Factor 4*m**4 - 14*m**3 + 6*m**2.
2*m**2*(m - 3)*(2*m - 1)
Suppose 2*a**3/13 - 4*a**2/13 - 14*a/13 - 8/13 = 0. What is a?
-1, 4
Solve -35*i**5 + 10*i**4 + 175*i**3 - 50*i**2 - 140*i + 40 = 0.
-2, -1, 2/7, 1, 2
Solve k**3 - 2*k**2 + k = 0 for k.
0, 1
Suppose 2*t**3/15 - 52*t**2/15 + 128*t/5 - 192/5 = 0. What is t?
2, 12
Suppose -3*a**3 + 30*a**2 + 12*a - 120 = 0. What is a?
-2, 2, 10
Solve 31*q**5/3 - 20*q**4 + 9*q**3 + 2*q**2/3 = 0 for q.
-2/31, 0, 1
Solve -16*a**4 