2
Suppose -40*f**3 + 1445*f**2 - 1580*f + 175 = 0. What is f?
1/8, 1, 35
Factor 2*n**3/9 + 8*n**2/9 - 22*n/9 + 4/3.
2*(n - 1)**2*(n + 6)/9
Factor -d**4/9 - 4*d**3/3 - 20*d**2/9.
-d**2*(d + 2)*(d + 10)/9
Solve 11*j**3/5 + 301*j**2 + 1222*j/5 - 272/5 = 0.
-136, -1, 2/11
Suppose 4*p**2 - 308*p = 0. Calculate p.
0, 77
Determine b so that 2*b**2/7 + 136*b/7 + 2312/7 = 0.
-34
Let -5*q**3 - 340*q**2 - 305*q + 2010 = 0. Calculate q.
-67, -3, 2
Suppose 5*k**2 + 110*k + 105 = 0. Calculate k.
-21, -1
Factor 3*t**4/2 + 21*t**3 + 48*t**2 - 192*t.
3*t*(t - 2)*(t + 8)**2/2
Suppose -9*c**2/4 - 213*c/2 - 141/4 = 0. What is c?
-47, -1/3
Factor -5*z**3 + 765*z**2 - 39015*z + 663255.
-5*(z - 51)**3
Factor -2*v**3/13 - 356*v**2/13 - 15480*v/13 + 32400/13.
-2*(v - 2)*(v + 90)**2/13
Find y such that 4*y**5 + 16*y**4 - 12*y**3 - 136*y**2 - 208*y - 96 = 0.
-2, -1, 3
Determine q, given that 2*q**2 - 102*q - 2144 = 0.
-16, 67
Suppose -4*h**5 - 420*h**4 - 10808*h**3 + 11656*h**2 + 10812*h - 11236 = 0. What is h?
-53, -1, 1
Factor -6498*b**3 + 13148*b**2 - 2744*b/9 + 16/9.
-2*(b - 2)*(171*b - 2)**2/9
Factor 12*i**4 + 81*i**3 - 237*i**2 + 54*i.
3*i*(i - 2)*(i + 9)*(4*i - 1)
Let 4*a**4/5 + 8*a**3/5 + 4*a**2/5 = 0. Calculate a.
-1, 0
Suppose r**4/10 + 91*r**3/10 + 267*r**2/10 + 53*r/2 + 44/5 = 0. What is r?
-88, -1
Suppose g**4/4 - 6801*g**3/2 + 15417867*g**2 - 23301536326*g = 0. Calculate g.
0, 4534
What is u in -2*u**5/7 - 386*u**4/7 - 19158*u**3/7 - 48094*u**2/7 + 284240*u/7 - 216600/7 = 0?
-95, -6, 1, 2
Factor -52*u**2 - 320*u - 48.
-4*(u + 6)*(13*u + 2)
Factor 4*h**3/9 - 16*h**2 + 144*h.
4*h*(h - 18)**2/9
Factor -r**3/4 + 21*r**2/4 + r/4 - 21/4.
-(r - 21)*(r - 1)*(r + 1)/4
Let -t**4/5 - 182*t**3/5 - 72*t**2 = 0. Calculate t.
-180, -2, 0
Solve -y**5 - 25*y**4 + 177*y**3 - 279*y**2 = 0.
-31, 0, 3
Determine i so that -i**5/5 - 3*i**4/5 + 14*i**3/5 + 18*i**2/5 - 13*i/5 - 3 = 0.
-5, -1, 1, 3
Factor m**2/5 - 151*m + 754/5.
(m - 754)*(m - 1)/5
Factor 5*z**2 - 100*z + 495.
5*(z - 11)*(z - 9)
Factor 5*m**3 - 15945*m**2 + 16949535*m - 6005785235.
5*(m - 1063)**3
Let -3*b**4 + 132*b**3 - 366*b**2 - 132*b + 369 = 0. Calculate b.
-1, 1, 3, 41
Let 4*n**4 + 24*n**3 + 48*n**2 + 32*n = 0. Calculate n.
-2, 0
Find y such that 2*y**5/15 + 16*y**4/15 + 12*y**3/5 - 18*y/5 = 0.
-3, 0, 1
Factor -2*t**3/11 - 60*t**2/11 + 126*t/11 - 64/11.
-2*(t - 1)**2*(t + 32)/11
Factor -i**2/2 + 87*i/2 - 85.
-(i - 85)*(i - 2)/2
Factor 3*k**5/4 + 3*k**4/2 - 9*k**3 + 21*k**2/2 - 15*k/4.
3*k*(k - 1)**3*(k + 5)/4
Find g such that g**4 - 7*g**3 + 2*g**2 + 64*g - 96 = 0.
-3, 2, 4
Factor -c**2/2 + 5*c/2 - 3.
-(c - 3)*(c - 2)/2
Let 5*o**5/7 + 18*o**4/7 + o**3 - 6*o**2/7 = 0. What is o?
-3, -1, 0, 2/5
Solve y**4/6 + y**3/3 - 2*y**2/3 - 4*y/3 = 0.
-2, 0, 2
Determine k so that 49*k**2/4 - 231*k/2 + 1089/4 = 0.
33/7
What is f in 3*f**2 + 21*f + 30 = 0?
-5, -2
Factor m**3/3 + 134*m**2/3 + 1403*m - 6348.
(m - 4)*(m + 69)**2/3
Solve -d**3/2 - 1770*d**2 - 2088600*d - 821516000 = 0 for d.
-1180
Factor -2*t**3/3 + 1088*t**2/3 + 2182*t/3 + 364.
-2*(t - 546)*(t + 1)**2/3
Factor -w**2 + 374*w.
-w*(w - 374)
Find n such that -4*n**2 + 56*n - 52 = 0.
1, 13
Factor -2*t**2 - 92*t.
-2*t*(t + 46)
Factor 5*l**5/2 + 575*l**4/2 - 290*l**3.
5*l**3*(l - 1)*(l + 116)/2
Factor -115*l**2 - 125*l - 10.
-5*(l + 1)*(23*l + 2)
Factor 5*h**2 - 1690*h + 5025.
5*(h - 335)*(h - 3)
Solve s**2 + 2296*s + 1317904 = 0.
-1148
Let -3*q**3 - 129*q**2/2 - 390*q - 450 = 0. Calculate q.
-10, -3/2
Factor -2*r**2/5 + 1574*r/5 + 3156/5.
-2*(r - 789)*(r + 2)/5
Suppose 2*j**3/5 + 22*j**2 - 2*j/5 - 22 = 0. Calculate j.
-55, -1, 1
Factor 2*r**4/9 + 14*r**3/9 - 20*r**2/3 - 56*r - 48.
2*(r - 6)*(r + 1)*(r + 6)**2/9
Factor -y**2 + 5*y + 204.
-(y - 17)*(y + 12)
Find a such that 4*a**5 + 200*a**4 + 728*a**3 - 416*a**2 - 2172*a + 1656 = 0.
-46, -3, 1
Factor -y**3 - 1329*y**2 - 588747*y - 86938307.
-(y + 443)**3
Suppose y**5/9 - 80*y**4/9 + 255*y**3 - 3000*y**2 + 10560*y + 13824 = 0. Calculate y.
-1, 9, 24
Find m such that -2*m**4 + 8*m**3 + 20*m**2 - 56*m + 30 = 0.
-3, 1, 5
Factor 4*h**3 + 15*h**2/2 + 7*h/2.
h*(h + 1)*(8*h + 7)/2
Factor 2*p**2 + 2784*p + 2782.
2*(p + 1)*(p + 1391)
Factor -4*p**3 + 16*p**2 + 80*p - 192.
-4*(p - 6)*(p - 2)*(p + 4)
Factor -y**3/4 - 6*y**2 + 27*y/4 + 25/2.
-(y - 2)*(y + 1)*(y + 25)/4
Find w such that -3*w**4/7 - 45*w**3/7 + 531*w**2/7 - 69*w = 0.
-23, 0, 1, 7
Factor n**4/4 - 3*n**3/4 - n**2 + 3*n.
n*(n - 3)*(n - 2)*(n + 2)/4
Factor 2*l**2 + 28*l - 102.
2*(l - 3)*(l + 17)
Factor 2*y**4 - 6*y**3 - 118*y**2 - 210*y - 100.
2*(y - 10)*(y + 1)**2*(y + 5)
Suppose 5*v**4/2 + 835*v**3/2 + 23100*v**2 + 415520*v - 439040 = 0. What is v?
-56, 1
Suppose 4*o**3 - 104*o**2 + 768*o - 1152 = 0. Calculate o.
2, 12
Let 25*g**4 + 270*g**3 = 0. What is g?
-54/5, 0
Let 5*d**3 - 260*d**2 - 5*d + 260 = 0. Calculate d.
-1, 1, 52
Determine r so that -4*r**3/7 - 4*r**2 + 40*r - 416/7 = 0.
-13, 2, 4
Factor 4*b**3 - 248*b**2 + 236*b + 488.
4*(b - 61)*(b - 2)*(b + 1)
Factor l**4 - 3*l**3 - 4*l**2 + 12*l.
l*(l - 3)*(l - 2)*(l + 2)
Factor h**3 - 4*h**2 - h + 4.
(h - 4)*(h - 1)*(h + 1)
Let -26*l**4/7 - 122*l**3/7 + 872*l**2/7 - 1192*l/7 + 288/7 = 0. Calculate l.
-9, 4/13, 2
Let u**4/4 + 99*u**3/4 + 543*u**2/4 - 1387*u/4 + 186 = 0. Calculate u.
-93, -8, 1
Factor 3*c**4/5 + 156*c**3/5 + 2658*c**2/5 + 3276*c + 6615.
3*(c + 5)**2*(c + 21)**2/5
Solve c**5 - c**4 - 55*c**3 - 143*c**2 - 90*c = 0 for c.
-5, -2, -1, 0, 9
Determine n so that -6*n**5 - 291*n**4 + 1755*n**3 - 1500*n**2 - 2244*n + 1296 = 0.
-54, -1, 1/2, 2, 4
Determine j so that 2*j**2/5 - 1456*j/5 = 0.
0, 728
Factor -16*p**2/9 - 26*p/3 + 10/9.
-2*(p + 5)*(8*p - 1)/9
Factor i**2/4 - 18*i + 324.
(i - 36)**2/4
Determine g so that 7*g**3 - 17*g**2 - 82*g - 40 = 0.
-2, -4/7, 5
Determine u so that -54*u**3 + 384*u**2 + 1120*u/3 + 256/3 = 0.
-4/9, 8
Factor -w**3 + 37*w**2 - 323*w - 361.
-(w - 19)**2*(w + 1)
Factor -2*v**2 + 122*v - 848.
-2*(v - 53)*(v - 8)
Solve -4*h**3 - 112*h**2 + 1052*h + 2520 = 0 for h.
-35, -2, 9
What is l in 2*l**4/11 - 168*l**3/11 - 6*l**2/11 + 508*l/11 - 336/11 = 0?
-2, 1, 84
Find i, given that -3*i**2 - 75*i + 78 = 0.
-26, 1
Let -18*r**4 - 228*r**3 + 904*r**2 - 880*r + 256 = 0. Calculate r.
-16, 2/3, 2
Determine n so that n**3/11 + 28*n**2/11 + 159*n/11 + 252/11 = 0.
-21, -4, -3
What is q in -q**2/5 + 36*q/5 + 1612/5 = 0?
-26, 62
Factor 2*q**4/3 + 416*q**3/3 + 6928*q**2 - 88192*q/3 + 89888/3.
2*(q - 2)**2*(q + 106)**2/3
Solve -14*h**4 - 956*h**3 - 272*h**2 = 0 for h.
-68, -2/7, 0
Factor 3*k**3 + 90*k**2 + 324*k + 312.
3*(k + 2)**2*(k + 26)
What is z in 4*z**3 - 4*z**2 - 24*z = 0?
-2, 0, 3
Factor 20*d**3/7 - 328*d**2/7 + 1408*d/7 - 512/7.
4*(d - 8)**2*(5*d - 2)/7
Factor u**5/3 - 7*u**4/3 + 2*u**3 + 28*u**2/3 - 40*u/3.
u*(u - 5)*(u - 2)**2*(u + 2)/3
Factor -3*m**5 - 24*m**4 - 54*m**3 + 81*m.
-3*m*(m - 1)*(m + 3)**3
What is y in 3*y**4/7 - 1419*y**3/7 + 167079*y**2/7 + 171351*y/7 - 337014/7 = 0?
-2, 1, 237
What is q in 3*q**3 - 117*q**2 - 3*q + 117 = 0?
-1, 1, 39
Let 3*s**3/8 - 15*s**2/2 - 393*s/8 + 225/4 = 0. What is s?
-6, 1, 25
Factor 4*r**5 - 1136*r**4 + 105984*r**3 - 3096576*r**2 - 14155776*r.
4*r*(r - 96)**3*(r + 4)
Suppose 3*v**5/4 + 15*v**4/4 - 27*v**3/4 - 39*v**2/4 + 21*v - 9 = 0. What is v?
-6, -2, 1
Find k, given that -127*k**2 - 129*k - 2 = 0.
-1, -2/127
Find y, given that 2*y**2 - 5014*y = 0.
0, 2507
Factor -n**4/3 + 2*n**3/3 + 5*n**2/3 - 2*n.
-n*(n - 3)*(n - 1)*(n + 2)/3
Factor c**2/6 - 33*c/2 + 364/3.
(c - 91)*(c - 8)/6
Determine n so that 5*n**5 - 5*n**4 - 70*n**3 + 140*n**2 + 40*n - 160 = 0.
-4, -1, 2
Let -2*t**5/11 + 18*t**4/11 + 42*t**3/11 + 2*t**2 = 0. What is t?
-1, 0, 11
Determine z, given that -128*z**3 - 1952*z**2 - 5330*z - 4056 = 0.
-12, -13/8
Let 12*x**4/7 - 141*x**3/7 - 117*x**2/7 + 1026*x/7 - 648/7 = 0. What is x?
-3, 3/4, 2, 12
Factor 2*f**3/3 + 14*f**2 + 40*f/3.
2*f*(f + 1)*(f + 20)/3
Determine a, given that -5*a**5/3 - 70*a**4 - 590*a**3/3 - 60*a**2 + 595*a/3 + 130 = 0.
-39, -2, -1, 1
Solve h**4 + 20*h**3 + 110*h**2 + 100*h - 231 = 0 for h.
-11, -7, -3, 1
Factor 45*k**2 - 330*k + 605.
5*(3*k - 11)**2
Factor -2*d**4 + 7*d**3 + 5*d**2 - 4*d.
-d*(d - 4)*(d + 1)*(2*d - 1)
Factor 5*y**3 - 195*y**2 + 720*y + 25920.
5*(y - 24)**2*(y + 9)
What is x in -3*x**3/8 - x**2/4 + x/8 = 