.
-4*m**3*(m - 3)*(m + 349)/7
Suppose -5*c**4 + 25*c**3 + 30*c**2 = 0. Calculate c.
-1, 0, 6
Factor 2*q**2 + 458*q - 460.
2*(q - 1)*(q + 230)
Determine d so that -3*d**4 + 417*d**3 - 2796*d**2 + 3120*d + 6336 = 0.
-1, 4, 132
Find w such that -15*w**5/7 - 66*w**4/7 + 45*w**3/7 = 0.
-5, 0, 3/5
Factor -2*g**3/11 + 2174*g**2/11 + 4354*g/11 + 198.
-2*(g - 1089)*(g + 1)**2/11
What is i in -i**3 - 902*i**2 + 903*i = 0?
-903, 0, 1
Let 16*c**4 - 132*c**3 + 364*c**2 - 408*c + 160 = 0. What is c?
1, 5/4, 2, 4
Solve -4*l**2 + 60*l - 56 = 0.
1, 14
Factor 2*h**3/15 - 22*h**2/5 - 2*h/15 + 22/5.
2*(h - 33)*(h - 1)*(h + 1)/15
Factor -5*z**4 - 325*z**3 - 1245*z**2 - 1535*z - 610.
-5*(z + 1)**2*(z + 2)*(z + 61)
Factor -4*o**4 - 92*o**3 - 792*o**2 - 3024*o - 4320.
-4*(o + 5)*(o + 6)**3
What is a in -3*a**5/8 - 87*a**4/4 = 0?
-58, 0
Factor -2*f**3 - 6*f**2 + 8*f + 24.
-2*(f - 2)*(f + 2)*(f + 3)
Suppose 4*g**2/7 - 36*g/7 + 72/7 = 0. What is g?
3, 6
Find w, given that 2*w**2/9 - 4*w/3 - 14/9 = 0.
-1, 7
Solve -2*v**4/5 - 11864*v**3/5 - 17582444*v**2/5 + 35200488*v/5 - 17606178/5 = 0 for v.
-2967, 1
Let -j**4 + 16*j**3 - 27*j**2 - 16*j + 28 = 0. What is j?
-1, 1, 2, 14
Solve -25*d**5 + 160*d**4 - 286*d**3 + 96*d**2 - 9*d = 0.
0, 1/5, 3
Factor -5*s**2 - 605*s - 1190.
-5*(s + 2)*(s + 119)
Suppose -2*t**4/15 - 398*t**3/15 + 14*t**2/15 + 2774*t/15 - 796/5 = 0. What is t?
-199, -3, 1, 2
Solve 2*t**2 + 182*t + 860 = 0.
-86, -5
Factor 5*z**2 + 3965*z - 3970.
5*(z - 1)*(z + 794)
Suppose -2*f**4 - 10*f**3 - 4*f**2 + 40*f + 48 = 0. Calculate f.
-3, -2, 2
Factor -3*d**4 - 3*d**3 + 30*d**2 - 24*d.
-3*d*(d - 2)*(d - 1)*(d + 4)
Determine f so that f**3/2 - 32*f**2 + 1085*f/2 - 961 = 0.
2, 31
Let o**2 + 268*o + 17956 = 0. What is o?
-134
What is w in -32*w**5/3 - 464*w**4/3 + 254*w**3/3 + 212*w**2/3 + 10*w = 0?
-15, -1/4, 0, 1
Find a, given that a**3/3 + 26*a**2 - 496*a/3 + 224 = 0.
-84, 2, 4
Suppose 5*x**5 + 140*x**4 + 1140*x**3 + 2630*x**2 + 2375*x + 750 = 0. Calculate x.
-15, -10, -1
Factor -2*x**5 - 8*x**4 + 28*x**2 + 34*x + 12.
-2*(x - 2)*(x + 1)**3*(x + 3)
Factor 5*r**5/4 + 11*r**4/4 + r**3/2 - 5*r**2/2 - 7*r/4 - 1/4.
(r - 1)*(r + 1)**3*(5*r + 1)/4
Determine a so that -43*a**2 - 20*a = 0.
-20/43, 0
Suppose -g**3/6 - g**2 + 45*g/2 - 200/3 = 0. Calculate g.
-16, 5
Determine k, given that k**2 + 36*k - 205 = 0.
-41, 5
Factor 2*n**2 - 12*n - 110.
2*(n - 11)*(n + 5)
Find m such that 2*m**5/9 - 8*m**4/9 + 8*m**3/9 + 4*m**2/9 - 10*m/9 + 4/9 = 0.
-1, 1, 2
Factor -c**4/5 + 79*c**3/5 + 327*c**2/5 + 413*c/5 + 166/5.
-(c - 83)*(c + 1)**2*(c + 2)/5
Find t such that 2*t**3/7 - 698*t**2/7 + 61248*t/7 - 60552/7 = 0.
1, 174
Factor -4*j**3 - 108*j**2 - 728*j.
-4*j*(j + 13)*(j + 14)
Find h such that -5*h**5 + 90*h**4 + 1235*h**3 + 4420*h**2 + 5520*h + 2240 = 0.
-4, -1, 28
Factor 2*h**2/17 + 8*h/17 - 90/17.
2*(h - 5)*(h + 9)/17
Find w, given that w**5/4 + w**4/2 - w**3/4 - w**2/2 = 0.
-2, -1, 0, 1
Factor 15*l**5 + 200*l**4 + 1000*l**3 + 2400*l**2 + 2800*l + 1280.
5*(l + 2)**4*(3*l + 16)
Let 20*u**5 - 132*u**4 - 256*u**3 + 240*u**2 + 128*u = 0. Calculate u.
-2, -2/5, 0, 1, 8
Let 2*l**5/19 + 42*l**4/19 + 84*l**3/19 - 68*l**2 + 2154*l/19 - 990/19 = 0. What is l?
-15, -11, 1, 3
Factor -n**3 - 71*n**2 - 744*n - 2124.
-(n + 6)**2*(n + 59)
Solve 4*h**4 + 40*h**3 + 100*h**2 - 144 = 0.
-6, -3, -2, 1
Solve 2*w**5/9 + 2*w**4/9 - 32*w**3/9 + 40*w**2/9 = 0 for w.
-5, 0, 2
Factor 3*l**2/5 + 2523*l/5 - 2526/5.
3*(l - 1)*(l + 842)/5
Factor -3*g**3 - 3*g**2 + 36*g.
-3*g*(g - 3)*(g + 4)
Let -4*p**3 + 92*p**2 - 360*p = 0. Calculate p.
0, 5, 18
Factor -4*a**3 + 16*a**2 - 16*a.
-4*a*(a - 2)**2
Factor -3*v**4 - 33*v**3 - 27*v**2 + 357*v - 294.
-3*(v - 2)*(v - 1)*(v + 7)**2
Factor -5*c**3 - 1820*c**2 + 5*c + 1820.
-5*(c - 1)*(c + 1)*(c + 364)
Find o such that 2*o**3/23 - 44*o**2/23 - 128*o/23 + 5120/23 = 0.
-10, 16
Factor -4*c**4 + 176*c**3 + 188*c**2 - 360*c.
-4*c*(c - 45)*(c - 1)*(c + 2)
Factor -p**3 - 14*p**2 + 31*p - 16.
-(p - 1)**2*(p + 16)
Factor 3*t**3/5 + 3*t**2/5 - 12*t/5 - 12/5.
3*(t - 2)*(t + 1)*(t + 2)/5
Factor 4*o**3/13 - 14*o**2/13 + 12*o/13.
2*o*(o - 2)*(2*o - 3)/13
What is o in -o**5/4 + o**4/2 + 37*o**3/2 - 100*o**2 + 575*o/4 - 125/2 = 0?
-10, 1, 5
Factor -2*i**2/5 - 3048*i/5 - 1161288/5.
-2*(i + 762)**2/5
Factor 3*n**3/8 + 21*n**2 + 483*n/8 + 159/4.
3*(n + 1)*(n + 2)*(n + 53)/8
Determine z, given that 4*z**4/5 + 24*z**3/5 - 252*z**2/5 - 432*z - 3888/5 = 0.
-6, -3, 9
Suppose 20*r**3 - 28*r**2 + 8*r = 0. What is r?
0, 2/5, 1
Factor -2*k**3 + 4*k**2 + 2*k - 4.
-2*(k - 2)*(k - 1)*(k + 1)
Factor 3*o**3/5 - 732*o**2/5 + 10323*o - 813186/5.
3*(o - 111)**2*(o - 22)/5
Find n, given that 2*n**4 - 110*n**3 + 1338*n**2 + 4814*n + 3364 = 0.
-2, -1, 29
Let -4*x**3 - 4*x**2 = 0. Calculate x.
-1, 0
Determine o so that -6*o**5 - 26*o**4 + 296*o**3 - 424*o**2 + 160*o = 0.
-10, 0, 2/3, 1, 4
What is g in 3*g**4/2 - 57*g**3/2 - 9*g**2/2 + 165*g/2 + 57 = 0?
-1, 2, 19
Solve 2*a**3 - 162*a**2 + 3198*a + 3362 = 0 for a.
-1, 41
Factor -5*a**4 - 10*a**3 + 5*a**2 + 10*a.
-5*a*(a - 1)*(a + 1)*(a + 2)
Factor 5*a**3 + 590*a**2 + 18525*a + 64980.
5*(a + 4)*(a + 57)**2
Determine r so that -r**3/3 - 2*r**2 - 8*r/3 = 0.
-4, -2, 0
Factor 4*f**3 + 46*f**2 + 134*f + 56.
2*(f + 4)*(f + 7)*(2*f + 1)
Find y such that -2*y**2 - 178*y + 364 = 0.
-91, 2
Find s, given that 6*s**4/11 - 36*s**3/11 - 102*s**2/11 + 36*s/11 + 96/11 = 0.
-2, -1, 1, 8
Solve j**2/6 + 150*j + 899/6 = 0.
-899, -1
Let -85*k**3 + 190*k**2 - 125*k + 20 = 0. Calculate k.
4/17, 1
Factor -5*z**3 + 5*z**2 + 10*z.
-5*z*(z - 2)*(z + 1)
Factor 3*z**3 - 129*z**2 - 267*z - 135.
3*(z - 45)*(z + 1)**2
Factor -2*p**2/9 + 26*p/9 - 28/3.
-2*(p - 7)*(p - 6)/9
Factor 4*k**2 + 10080*k + 6350400.
4*(k + 1260)**2
Suppose 2*x**2 - 10152*x + 12882888 = 0. Calculate x.
2538
Find r, given that 3*r**2/2 - 9*r/2 - 15 = 0.
-2, 5
Factor -4*r**4/3 - 16*r**3 - 44*r**2/3.
-4*r**2*(r + 1)*(r + 11)/3
What is v in -5*v**5 - 45*v**4 + 245*v**3 - 215*v**2 - 240*v + 260 = 0?
-13, -1, 1, 2
Factor -16*o**2/3 - 1180*o/3 + 296/3.
-4*(o + 74)*(4*o - 1)/3
Solve 3*a**3 + 87*a**2 - 12*a - 348 = 0 for a.
-29, -2, 2
Factor -n**2 + 55*n - 54.
-(n - 54)*(n - 1)
Suppose 15*b**2 - 865*b - 290 = 0. Calculate b.
-1/3, 58
Determine b so that -3*b**2 - 2*b = 0.
-2/3, 0
Determine f so that -2*f**5/7 - 12*f**4/7 + 20*f**3/7 + 40*f**2/7 - 18*f/7 - 4 = 0.
-7, -1, 1, 2
Find q, given that -3*q**2 + 3858*q - 1240347 = 0.
643
Factor 4*a**5/3 - 136*a**4/3 + 428*a**3 - 2176*a**2/3 + 1024*a/3.
4*a*(a - 16)**2*(a - 1)**2/3
Find w, given that 2*w**4/7 - 2*w**3/7 - 34*w**2/7 + 6*w + 72/7 = 0.
-4, -1, 3
Factor -4*k**4 + 2992*k**3 - 556504*k**2 - 1122000*k - 562500.
-4*(k - 375)**2*(k + 1)**2
Determine u so that 66*u**2/7 + 494*u/7 - 92/7 = 0.
-23/3, 2/11
Let -r**5 + 11*r**4/3 - 8*r**3/3 - 4*r**2/3 = 0. What is r?
-1/3, 0, 2
Let 6*k**4/5 + 81*k**3/5 + 111*k**2/5 + 36*k/5 = 0. What is k?
-12, -1, -1/2, 0
Determine v, given that 2*v**4/7 - 12*v**3/7 - 32*v**2/7 = 0.
-2, 0, 8
Factor -2*d**3/15 - 46*d**2/15 - 112*d/15 + 392/3.
-2*(d - 5)*(d + 14)**2/15
Determine u so that 2*u**5/7 + 18*u**4/7 + 50*u**3/7 + 54*u**2/7 + 20*u/7 = 0.
-5, -2, -1, 0
Factor 3*h**2/2 - 87*h/2 + 42.
3*(h - 28)*(h - 1)/2
Factor y**2 - 5732*y + 8213956.
(y - 2866)**2
Determine c, given that -6*c**2 - 7*c - 1 = 0.
-1, -1/6
Let c**2 - 650*c = 0. Calculate c.
0, 650
Let -4*k**2 + 4*k + 8 = 0. Calculate k.
-1, 2
Factor -6*d**2/5 - 694*d/5 - 92.
-2*(d + 115)*(3*d + 2)/5
Suppose -10*j**5/23 + 26*j**4/23 + 42*j**3/23 - 58*j**2/23 - 88*j/23 - 24/23 = 0. Calculate j.
-1, -2/5, 2, 3
Factor j**3 + 267*j**2 + 264*j - 532.
(j - 1)*(j + 2)*(j + 266)
Factor -b**5/7 - 11*b**4/7 + 26*b**3/7.
-b**3*(b - 2)*(b + 13)/7
Factor u**4/3 - 2*u**3/3 - u**2 + 4*u/3 + 4/3.
(u - 2)**2*(u + 1)**2/3
Factor -3*c**2/2 + 111*c - 1260.
-3*(c - 60)*(c - 14)/2
Factor -l**4/2 + 3*l**3/2 + 23*l**2/2 + 33*l/2 + 7.
-(l - 7)*(l + 1)**2*(l + 2)/2
Suppose l**5/3 + 19*l**4/3 + 42*l**3 + 346*l**2/3 + 385*l/3 + 49 = 0. Calculate l.
-7, -3, -1
Determine i, given that -2*i**2/5 + 26*i/5 = 0.
0, 13
Solve 2*q**2/7 + 600*q/7 = 0 for q.
-300, 0
What is w in -3*w**5 - 6*w**4 + 18*w**3 + 12*w**2 - 39*w + 18 = 0?
-3, -2, 1
Let -9*r**5 - 114*r**4 - 270*r**3 + 624*r**2 + 63*r - 294 = 0. Calculate r.
-7, -2/3, 1
What is j in -3