78*c + 348 = 0. Calculate c.
-6, -1, 3, 29
Let 10*i**2/13 - 866*i/13 - 348/13 = 0. What is i?
-2/5, 87
Factor 5*x**4 - 55*x**3 - 585*x**2 + 1315*x - 680.
5*(x - 17)*(x - 1)**2*(x + 8)
What is b in -b**5/9 + 4*b**3/9 - 2*b**2/9 - b/3 + 2/9 = 0?
-2, -1, 1
Determine g, given that -28*g**4 - 328*g**3 - 548*g**2 + 1192*g - 288 = 0.
-9, -4, 2/7, 1
Determine j, given that -j**4/7 + 3*j**3/7 + 12*j**2/7 - 20*j/7 - 48/7 = 0.
-2, 3, 4
Factor -2*r**2 + 6*r - 4.
-2*(r - 2)*(r - 1)
Let 5*s**5/6 - 55*s**4/6 + 205*s**3/6 - 305*s**2/6 + 25*s = 0. Calculate s.
0, 1, 2, 3, 5
Factor -2*c**3/5 + 2*c**2/5 + 112*c/5 + 288/5.
-2*(c - 9)*(c + 4)**2/5
Factor -2*g**3 - 214*g**2.
-2*g**2*(g + 107)
Factor -q**3/5 + 68*q**2/5 + 4*q/5 - 272/5.
-(q - 68)*(q - 2)*(q + 2)/5
Factor -2*t**4/7 + 64*t**3/7 - 96*t**2 + 2304*t/7.
-2*t*(t - 12)**2*(t - 8)/7
Factor -a**4 + 59*a**3 - 1003*a**2 + 3861*a - 2916.
-(a - 27)**2*(a - 4)*(a - 1)
Factor a**4/8 + 3*a**3 + 33*a**2/4 + 8*a + 21/8.
(a + 1)**3*(a + 21)/8
Determine t, given that -t**5/3 + 29*t**4/3 + 35*t**3 - 293*t**2/3 + 160*t/3 = 0.
-5, 0, 1, 32
Factor k**3/5 + 4*k**2 - 43*k/5 + 22/5.
(k - 1)**2*(k + 22)/5
Factor -2*z**5/9 - 10*z**4/9 - 4*z**3/3.
-2*z**3*(z + 2)*(z + 3)/9
Find o, given that 3*o**2 - 249*o + 246 = 0.
1, 82
Factor -3*h**3 - 90*h**2 + 408*h.
-3*h*(h - 4)*(h + 34)
What is q in 136497879*q**4 - 407199555*q**3 - 6869394*q**2 - 38532*q - 72 = 0?
-2/357, 3
Let 3*w**5/8 - 3*w**4/8 - 27*w**3/8 + 39*w**2/8 + 3*w - 9/2 = 0. What is w?
-3, -1, 1, 2
Let -3*v**3/5 - 54*v**2/5 + 57*v/5 = 0. Calculate v.
-19, 0, 1
Let -5*a**4 - 3520*a**3 - 929280*a**2 - 109035520*a - 4797562880 = 0. What is a?
-176
Factor 2*g**2/19 - 2676*g/19 + 895122/19.
2*(g - 669)**2/19
Factor -8*h**3/5 + 26*h**2/5 - 22*h/5 + 4/5.
-2*(h - 2)*(h - 1)*(4*h - 1)/5
What is p in 3*p**5 + 51*p**4 + 234*p**3 + 42*p**2 - 1005*p + 675 = 0?
-9, -5, 1
Factor a**3 + 15*a**2 + 48*a + 44.
(a + 2)**2*(a + 11)
Solve -128*m**3 + 864*m**2 - 1944*m + 1458 = 0.
9/4
Factor -2*v**4/3 + 86*v**3/3 - 322*v**2 + 294*v.
-2*v*(v - 21)**2*(v - 1)/3
Solve -55*h**4 - 450*h**3 + 140*h**2 + 1800*h + 320 = 0 for h.
-8, -2, -2/11, 2
Factor -2*s**3/9 + 868*s**2/3 - 94178*s.
-2*s*(s - 651)**2/9
What is u in 3*u**2 + 177*u + 174 = 0?
-58, -1
Find i such that 2*i**3/3 + 166*i**2 + 10736*i + 148840/3 = 0.
-122, -5
Factor l**2 + 2*l - 8.
(l - 2)*(l + 4)
Factor -2*j**3/5 + 24*j**2 - 360*j.
-2*j*(j - 30)**2/5
Factor -2*i**3/3 - 166*i**2 + 334*i - 502/3.
-2*(i - 1)**2*(i + 251)/3
Solve w**4/3 - 14*w**3/3 + 4*w**2 + 14*w/3 - 13/3 = 0 for w.
-1, 1, 13
Determine k so that 5*k**2 - 665*k + 1950 = 0.
3, 130
Factor 2*p**2/7 - 2936*p/7 + 2934/7.
2*(p - 1467)*(p - 1)/7
Factor 2*n**4 - 48*n**3 + 286*n**2 + 48*n - 288.
2*(n - 12)**2*(n - 1)*(n + 1)
Determine f so that -f**4/6 - 19*f**3/3 = 0.
-38, 0
Suppose -2*n**5/11 - 8*n**4/11 + 32*n**3/11 + 4*n**2 - 30*n/11 - 36/11 = 0. What is n?
-6, -1, 1, 3
Find n such that -9*n**5/8 - 11*n**4/8 + 25*n**3/8 + 15*n**2/8 - 2*n - 1/2 = 0.
-2, -1, -2/9, 1
Find m such that -4*m**2 - 76*m + 80 = 0.
-20, 1
Suppose -3*h**3 + 6*h**2 + 15*h - 18 = 0. Calculate h.
-2, 1, 3
Suppose 3*j**5 - 12*j**4 - 9*j**3 + 66*j**2 - 12*j - 72 = 0. Calculate j.
-2, -1, 2, 3
Solve 2*q**2/17 + 18248*q/17 + 41623688/17 = 0 for q.
-4562
Determine v, given that 4*v**4 - 24*v**3 - 364*v**2 - 1104*v - 1008 = 0.
-3, -2, 14
Factor 81*j**4 - 927*j**3 - 572*j**2 + 388*j - 48.
(j - 12)*(j + 1)*(9*j - 2)**2
Factor 47*c**2/6 + 15*c/2 - 1/3.
(c + 1)*(47*c - 2)/6
Factor 2*o**2/5 + 74*o/5 + 108.
2*(o + 10)*(o + 27)/5
Suppose 2*l**2/5 + 968*l/5 + 966/5 = 0. Calculate l.
-483, -1
Find j such that 3*j**5/2 + 9*j**4/2 - 27*j**3/2 - 81*j**2/2 = 0.
-3, 0, 3
Factor 4*i**2 + 1448*i.
4*i*(i + 362)
Solve q**2/3 + 91*q/3 - 92/3 = 0 for q.
-92, 1
Solve -g**4/3 + 10*g**3 - 29*g**2/3 = 0 for g.
0, 1, 29
What is g in 5*g**4 - 55*g**3 + 225*g**2 - 405*g + 270 = 0?
2, 3
Factor -5*l**4 - 20*l**3 + 25*l**2.
-5*l**2*(l - 1)*(l + 5)
Factor -j**2/3 + 1544*j/3 - 595984/3.
-(j - 772)**2/3
Find g such that 3*g**5 + 33*g**4 + 60*g**3 - 96*g**2 = 0.
-8, -4, 0, 1
Let -4*l**4 - 9*l**3 + 2*l**2 + 9*l + 2 = 0. What is l?
-2, -1, -1/4, 1
Suppose -4*n**4/7 + 8*n**3/7 + 16*n**2/7 - 8*n/7 - 12/7 = 0. What is n?
-1, 1, 3
Solve -4*q**4/9 - 14*q**3/9 - 14*q**2/9 - 4*q/9 = 0 for q.
-2, -1, -1/2, 0
Factor -3*k**2 + 16740*k - 23352300.
-3*(k - 2790)**2
Factor 5*v**3 + 335*v**2 + 970*v + 640.
5*(v + 1)*(v + 2)*(v + 64)
Factor t**3/8 + 855*t**2/8 + 243675*t/8 + 23149125/8.
(t + 285)**3/8
Let q**4 + 7*q**3 - 14*q**2 - 48*q = 0. What is q?
-8, -2, 0, 3
Determine d, given that 3*d**4 - 36*d**3 - 177*d**2 - 234*d - 96 = 0.
-2, -1, 16
Factor g**2/5 + 12*g/5 - 64/5.
(g - 4)*(g + 16)/5
Determine b, given that 4*b**5/3 - 32*b**4 + 548*b**3/3 + 280*b**2/3 - 496*b - 1120/3 = 0.
-1, 2, 10, 14
Find s, given that 48*s**3 + 2472*s**2 + 1227*s + 153 = 0.
-51, -1/4
Find o such that -o**5/2 + 5*o**4 + 23*o**3/2 - 68*o**2 + 14*o + 88 = 0.
-4, -1, 2, 11
Factor -5*y**2 - 2585*y + 5190.
-5*(y - 2)*(y + 519)
Solve 25*u**5 - 195*u**4 - 56*u**3 + 132*u**2 - 32*u = 0.
-1, 0, 2/5, 8
Solve 2*d**2 - 242*d = 0.
0, 121
Factor 5*l**3 + 30*l**2 - 585*l + 1350.
5*(l - 6)*(l - 3)*(l + 15)
Factor -2*z**2/3 - 44*z/3.
-2*z*(z + 22)/3
Solve 8*t**4 + 356*t**3/5 + 276*t**2/5 - 104*t/5 - 64/5 = 0.
-8, -1, -2/5, 1/2
Find p such that 38*p**4/7 - 110*p**3/7 - 12*p**2/7 + 152*p/7 + 16/7 = 0.
-1, -2/19, 2
Factor 2*m**3/5 + 38*m**2/5 - 284*m/5 + 80.
2*(m - 4)*(m - 2)*(m + 25)/5
Suppose -2*d**3/5 + 14*d**2/5 + 28*d/5 - 96/5 = 0. Calculate d.
-3, 2, 8
Let 4*y**5 + 88*y**4 - 108*y**3 - 8064*y**2 + 6480*y + 129600 = 0. Calculate y.
-15, -4, 6
Solve -2*u**3 - 136*u**2 - 2016*u + 10368 = 0.
-36, 4
Solve -12*k**4 + 4*k**3 + 68*k**2 + 76*k + 24 = 0.
-1, -2/3, 3
Factor -2*x**4 + 198*x**3 - 4594*x**2 - 15198*x - 10404.
-2*(x - 51)**2*(x + 1)*(x + 2)
Find d, given that -2*d**5/3 + 2*d**4/3 + 10*d**3/3 - 2*d**2/3 - 16*d/3 - 8/3 = 0.
-1, 2
Suppose z**3/4 + 395*z**2/4 + 197*z/2 = 0. What is z?
-394, -1, 0
Suppose o**4 + 3*o**3 - 10*o**2 - 24*o = 0. Calculate o.
-4, -2, 0, 3
Factor 3*v**3 + 393*v**2 + 13440*v + 36864.
3*(v + 3)*(v + 64)**2
Let 3*b**5 + 6*b**4 - 33*b**3 - 24*b**2 + 60*b + 48 = 0. What is b?
-4, -1, 2
Factor 3*w**3/4 + 45*w**2/4 + 189*w/4 + 243/4.
3*(w + 3)**2*(w + 9)/4
Factor -4*g**4 + 72*g**3 - 404*g**2 + 720*g.
-4*g*(g - 9)*(g - 5)*(g - 4)
Suppose -5*l**3 + 35*l**2 = 0. What is l?
0, 7
Factor 5*o**5 + 5*o**4 - 60*o**3 - 140*o**2 - 80*o.
5*o*(o - 4)*(o + 1)*(o + 2)**2
Determine k so that -15*k**5/4 + 123*k**4/2 + 459*k**3/4 - 231*k**2/2 - 111*k + 54 = 0.
-2, -1, 2/5, 1, 18
Let -4*j**3 - 64*j**2 - 276*j - 360 = 0. Calculate j.
-10, -3
Find s such that -s**3/8 - 103*s**2/8 - 203*s/8 - 101/8 = 0.
-101, -1
Factor 3*i**2/5 - 16182*i/5 + 21821427/5.
3*(i - 2697)**2/5
Factor 4*o**5 - 92*o**4 + 88*o**3.
4*o**3*(o - 22)*(o - 1)
Let l**3/9 - 10*l**2/9 - 32*l/3 = 0. What is l?
-6, 0, 16
Factor -5*a**2 - 420*a - 4615.
-5*(a + 13)*(a + 71)
Factor -w**2/2 - 2*w.
-w*(w + 4)/2
Find a such that -2*a**4/17 - 24*a**3/17 - 104*a**2/17 - 192*a/17 - 128/17 = 0.
-4, -2
Suppose -5*m**3 + 435*m**2 - 9240*m - 9680 = 0. Calculate m.
-1, 44
Let -g**5/6 - 11*g**4/6 + 25*g**3/6 - 13*g**2/6 = 0. What is g?
-13, 0, 1
Factor s**5/4 + 83*s**4 - 167*s**3 + s**2/2 + 667*s/4 - 167/2.
(s - 1)**3*(s + 1)*(s + 334)/4
Find v, given that 5*v**4 - 505*v**3 + 4690*v**2 - 12860*v + 10920 = 0.
2, 6, 91
Determine f, given that 2*f**2/9 - 53*f/9 + 26/9 = 0.
1/2, 26
Factor 2*f**3 + 43*f**2 + 18*f - 63.
(f - 1)*(f + 21)*(2*f + 3)
Factor 5*u**4 - 15*u**2 + 10*u.
5*u*(u - 1)**2*(u + 2)
Let 3*i**5 - 12*i**4 + 48*i**2 - 48*i = 0. What is i?
-2, 0, 2
Find r such that -4*r**2 + 9*r - 2 = 0.
1/4, 2
Factor 343*x**4/4 - 34349*x**3/4 - 14805*x**2/2 - 2119*x - 202.
(x - 101)*(7*x + 2)**3/4
Suppose -n**3/4 - 3*n**2/4 - n/2 = 0. What is n?
-2, -1, 0
Factor u**3 - 16*u**2 - 19*u + 34.
(u - 17)*(u - 1)*(u + 2)
Determine o so that -3*o**5 + 408*o**4 - 18219*o**3 + 254334*o**2 + 564972*o + 292008 = 0.
-1, 46
Factor 3*h**2 + 27*h + 42.
3*(h + 2)*(h + 7)
Factor q**2/2 - 228*q - 457/2.
(q - 457)*(q + 1)/2
Find d such that 2*d**3 - 4*d**2 - 26*d - 20 = 0.
-2, -1, 5
Factor 4*o**4 - 564*o**3 + 552*o**2 + 1120*o.
4*o*(o - 140)*(o - 2)*(o + 1)
Suppose 5*m**4/3 + 5*m**3