)
What is i in -5*i**2 + 705*i = 0?
0, 141
Determine j so that -10*j**2/7 + 18*j/7 + 4/7 = 0.
-1/5, 2
Find f, given that 10*f**5 + 125*f**4 - 710*f**3 + 935*f**2 - 20*f - 340 = 0.
-17, -1/2, 1, 2
Factor 2*m**3/21 - 2*m**2/7 - 160*m/7 - 2432/21.
2*(m - 19)*(m + 8)**2/21
What is c in -3*c**5 - 21*c**4 + 198*c**3 + 216*c**2 = 0?
-12, -1, 0, 6
Factor 4*s**2 + 700*s + 696.
4*(s + 1)*(s + 174)
Determine y so that y**3/2 - 14*y**2 = 0.
0, 28
Factor k**5 - 2*k**4 - 7*k**3 + 20*k**2 - 12*k.
k*(k - 2)**2*(k - 1)*(k + 3)
Factor -n**5/3 - 5*n**4/3 - 2*n**3 + 4*n**2/3 + 8*n/3.
-n*(n - 1)*(n + 2)**3/3
Factor -15*x**3 - 156*x**2 + 300*x + 144.
-3*(x - 2)*(x + 12)*(5*x + 2)
Factor -2*r**2/9 - 58*r/3 + 728/9.
-2*(r - 4)*(r + 91)/9
Factor -5*d**3 - 50*d**2 - 60*d + 360.
-5*(d - 2)*(d + 6)**2
Solve -u**2 + 24*u + 25 = 0.
-1, 25
What is z in -z**3/3 - 5*z**2/3 - 7*z/3 - 1 = 0?
-3, -1
Solve 2*a**3/5 - 1714*a**2/5 - 2*a/5 + 1714/5 = 0 for a.
-1, 1, 857
Factor 81*p**2 + 882*p + 2401.
(9*p + 49)**2
Factor -b**3/3 - 11*b**2/3 + b/3 + 11/3.
-(b - 1)*(b + 1)*(b + 11)/3
Factor 3*k**2 - 30798*k + 79043067.
3*(k - 5133)**2
Factor 5*v**4 + 310*v**3 + 7205*v**2 + 74400*v + 288000.
5*(v + 15)**2*(v + 16)**2
Determine m so that 3*m**2 + 36*m + 108 = 0.
-6
Factor 4*g**4 + 200*g**3 + 3300*g**2 + 20000*g + 40000.
4*(g + 5)**2*(g + 20)**2
Factor -j**5/2 + 11*j**4/2 + 13*j**3 + j**2 - 25*j/2 - 13/2.
-(j - 13)*(j - 1)*(j + 1)**3/2
Let 5*v**4 + 20*v**3 + 25*v**2 + 10*v = 0. Calculate v.
-2, -1, 0
Determine f, given that -28*f**2 + 121848*f + 34816 = 0.
-2/7, 4352
Let 5*j**4/3 + 95*j**3 - 295*j**2/3 - 95*j + 290/3 = 0. What is j?
-58, -1, 1
Let 3*r**2 + 63*r = 0. Calculate r.
-21, 0
Factor -x**2/2 + 802*x - 321602.
-(x - 802)**2/2
Find g, given that -g**2/6 + 2161*g/3 - 4669921/6 = 0.
2161
Determine k so that -9*k**5 - 65*k**4 - 158*k**3 - 140*k**2 - 24*k = 0.
-3, -2, -2/9, 0
Suppose 4*w**2/3 + 688*w/3 + 29584/3 = 0. What is w?
-86
Factor o**2/3 - 22*o/3 + 85/3.
(o - 17)*(o - 5)/3
Let -a**5/4 - 23*a**4/2 - 473*a**3/4 + 373*a**2 + 1056*a + 576 = 0. What is a?
-24, -1, 4
Let -4*h**5 - 816*h**4 - 808*h**3 + 816*h**2 + 812*h = 0. What is h?
-203, -1, 0, 1
Factor b**2 - 126*b + 3969.
(b - 63)**2
Find x such that x**4/3 + 13*x**3 + 334*x**2/3 + 248*x + 448/3 = 0.
-28, -8, -2, -1
What is w in 5*w**5 + 61*w**4 + 182*w**3 - 26*w**2 - 187*w - 35 = 0?
-7, -5, -1, -1/5, 1
Factor 9*d**5 + 21*d**4 + 15*d**3 + 3*d**2.
3*d**2*(d + 1)**2*(3*d + 1)
Factor l**3 - 252*l**2 - 507*l - 254.
(l - 254)*(l + 1)**2
Factor x**4/5 - 7*x**3/5 - 4*x**2/5 + 112*x/5 - 192/5.
(x - 4)**2*(x - 3)*(x + 4)/5
Let 5*n**2 + 5*n = 0. Calculate n.
-1, 0
Let -a**4 + 3*a**3 + 60*a**2 - 368*a + 576 = 0. Calculate a.
-9, 4
Factor 20*c**2/17 - 198*c/17 - 20/17.
2*(c - 10)*(10*c + 1)/17
Factor -3*h**2 + 6*h.
-3*h*(h - 2)
Let -3*s**2 + 189*s - 186 = 0. Calculate s.
1, 62
Factor -2*v**3 + 748*v**2 + 2*v - 748.
-2*(v - 374)*(v - 1)*(v + 1)
Find b, given that b**3/9 + 143*b**2/3 + 20449*b/3 + 2924207/9 = 0.
-143
Let 5*y**2 - 40*y - 240 = 0. What is y?
-4, 12
Factor 65*y**3/6 + 215*y**2/6 - 295*y/3 - 100/3.
5*(y - 2)*(y + 5)*(13*y + 4)/6
Factor f**2/5 + 31*f/5 + 6.
(f + 1)*(f + 30)/5
Factor -m**4/3 + m**3.
-m**3*(m - 3)/3
Factor 3*y**4 - 18*y**3 - 111*y**2 - 90*y.
3*y*(y - 10)*(y + 1)*(y + 3)
Find i such that -5*i**3 - 135*i**2 + 305*i + 435 = 0.
-29, -1, 3
Factor 2*c**2/5 - 96*c/5 - 40.
2*(c - 50)*(c + 2)/5
Factor 9*y**2/4 + 426*y + 20164.
(3*y + 284)**2/4
Factor m**2 - 358*m + 32041.
(m - 179)**2
Factor k**3/3 - k**2 - 36*k + 220/3.
(k - 11)*(k - 2)*(k + 10)/3
Let -5*g**5 - 50*g**4 - 135*g**3 + 70*g**2 + 640*g + 480 = 0. What is g?
-4, -3, -1, 2
Factor -5*w**5 + 740*w**4 - 28110*w**3 + 54020*w**2 - 26645*w.
-5*w*(w - 73)**2*(w - 1)**2
Factor -2*u**2 + 46*u.
-2*u*(u - 23)
Factor 3*d**2 + 327*d + 3234.
3*(d + 11)*(d + 98)
Let -k**2 - 241*k - 240 = 0. Calculate k.
-240, -1
Let -21*j**4 + 36*j**3 + 96*j**2 - 144*j - 48 = 0. What is j?
-2, -2/7, 2
Find i such that -507*i**3/2 - 611*i**2/2 - 164*i/3 - 8/3 = 0.
-1, -4/39
Suppose -a**4/3 - 4*a**3/3 + 44*a**2/3 + 32*a - 192 = 0. What is a?
-6, 4
Factor 2*o**4/9 + 8*o**3/9 - 58*o**2/9 + 16*o/3.
2*o*(o - 3)*(o - 1)*(o + 8)/9
Solve 5*p**4 + 20*p**3 + 25*p**2 + 10*p = 0 for p.
-2, -1, 0
Factor 4*p**2 + 1148*p + 1144.
4*(p + 1)*(p + 286)
Factor g**5/5 + g**4/5 - g**3/5 - g**2/5.
g**2*(g - 1)*(g + 1)**2/5
Suppose 2*n**4/3 - 6*n**3 + 18*n**2 - 62*n/3 + 8 = 0. What is n?
1, 3, 4
Factor t**2/4 + 129*t/4 + 545.
(t + 20)*(t + 109)/4
Factor -5*d**3/4 - 445*d**2/4 + 5*d/4 + 445/4.
-5*(d - 1)*(d + 1)*(d + 89)/4
Suppose -h**4/2 - 25*h**3/2 + 213*h**2/2 - 347*h/2 + 80 = 0. Calculate h.
-32, 1, 5
Let -12*p**4 - 56*p**3 + 92*p**2 - 24*p = 0. Calculate p.
-6, 0, 1/3, 1
Let 2*s**5/11 + 1494*s**4/11 + 38012*s**3 + 4717636*s**2 + 217577118*s - 222332902 = 0. Calculate s.
-187, 1
Find i such that i**4 - 108*i**3 - 219*i**2 - 110*i = 0.
-1, 0, 110
Factor m**3/4 + 3*m**2/2 - 37*m/4 - 45/2.
(m - 5)*(m + 2)*(m + 9)/4
Solve -4*z**2 - 16*z - 16 = 0 for z.
-2
Suppose 50*m**2 - 149*m - 3 = 0. What is m?
-1/50, 3
Solve 4*f**2 + 1136*f + 1132 = 0.
-283, -1
Factor 2*l**3 - 190*l**2 - 196*l + 384.
2*(l - 96)*(l - 1)*(l + 2)
Factor -2*f**4/3 - 2*f**3/3 + 20*f**2/3 - 16*f/3.
-2*f*(f - 2)*(f - 1)*(f + 4)/3
Factor -8*x**2 - 2706*x - 676.
-2*(x + 338)*(4*x + 1)
Factor z**5/4 + 13*z**4/4 + 57*z**3/4 + 95*z**2/4 + 25*z/2.
z*(z + 1)*(z + 2)*(z + 5)**2/4
Determine s, given that -12*s**4/7 - 566*s**3/7 + 1692*s**2/7 - 414*s/7 - 100 = 0.
-50, -1/2, 1, 7/3
Determine g, given that 5*g**3 + 21960*g**2 + 32149440*g + 15688926720 = 0.
-1464
Factor 2*v**3 - 52*v**2 + 96*v.
2*v*(v - 24)*(v - 2)
Factor -4*f**4 + 48*f**3 - 168*f**2 + 208*f - 84.
-4*(f - 7)*(f - 3)*(f - 1)**2
Solve 32*r**4/11 + 112*r**3/11 + 6*r**2 - 56*r/11 + 8/11 = 0 for r.
-2, 1/4
Factor o**5 - 37*o**4 + 35*o**3 + 37*o**2 - 36*o.
o*(o - 36)*(o - 1)**2*(o + 1)
Determine z so that 4*z**2 + 224*z + 432 = 0.
-54, -2
Factor 5*p**5 + 70*p**4 + 285*p**3 + 380*p**2 + 160*p.
5*p*(p + 1)**2*(p + 4)*(p + 8)
Solve -60*g**3 + 1744*g**2 - 108*g - 232 = 0 for g.
-1/3, 2/5, 29
What is p in 2*p**3/9 + 8*p**2/9 - 8*p/9 - 32/9 = 0?
-4, -2, 2
Factor r**2/2 + 23*r/2.
r*(r + 23)/2
Find w, given that w**3 + 140*w**2 + 813*w + 1206 = 0.
-134, -3
Factor 5*d**3 + 30*d**2 - 5*d - 30.
5*(d - 1)*(d + 1)*(d + 6)
Let -4*r**4/3 + 74*r**3/9 + 32*r**2/3 - 62*r/3 + 28/9 = 0. What is r?
-2, 1/6, 1, 7
Factor 5*t**4 - 580*t**3 + 17390*t**2 - 33060*t + 16245.
5*(t - 57)**2*(t - 1)**2
Find o, given that -o**2/3 + 4*o/3 + 5/3 = 0.
-1, 5
Find z, given that z**5 + 11*z**4 - 9*z**3 - 211*z**2 + 400*z - 192 = 0.
-8, 1, 3
Factor 3*q**3 + 1707*q**2 - 3423*q + 1713.
3*(q - 1)**2*(q + 571)
Factor 4*z**5/5 + 644*z**4/5 + 18048*z**3/5 + 206336*z**2/5 + 1073152*z/5 + 2113536/5.
4*(z + 8)**4*(z + 129)/5
Solve -s**3 + 14*s**2/3 - 20*s/3 + 8/3 = 0 for s.
2/3, 2
Let -s**4/5 + 7*s**3/5 - 3*s**2 + 9*s/5 = 0. Calculate s.
0, 1, 3
Factor 2*g**4 - 136*g**3 + 2312*g**2.
2*g**2*(g - 34)**2
Suppose l**4 - l**3/3 - 14*l**2/3 + 4*l/3 + 8/3 = 0. What is l?
-2, -2/3, 1, 2
Let -3*q**4/5 - 294*q**3/5 - 573*q**2/5 + 294*q/5 + 576/5 = 0. What is q?
-96, -2, -1, 1
Solve -z**3/3 - 86*z**2 - 7396*z - 636056/3 = 0 for z.
-86
Find s, given that 75*s**4 - 145*s**3 - 245*s**2 + 5*s + 30 = 0.
-1, -2/5, 1/3, 3
Factor f**4 + 2712*f**3 + 1838736*f**2.
f**2*(f + 1356)**2
Determine b so that -2*b**5 - 108*b**4 + 2*b**3 + 108*b**2 = 0.
-54, -1, 0, 1
Let 2*i**2/5 - 504*i/5 - 306 = 0. Calculate i.
-3, 255
Factor -15*y**3 + 36*y**2 - 27*y + 6.
-3*(y - 1)**2*(5*y - 2)
Let 3*s**2/5 + 1443*s/5 - 2898/5 = 0. Calculate s.
-483, 2
What is w in -w**2/4 + 7*w/4 - 3/2 = 0?
1, 6
Determine n so that -2*n**3/7 + 118*n**2/7 - 1798*n/7 + 1682/7 = 0.
1, 29
Let 4*x**4 - 12*x**3 - 64*x**2 - 48*x = 0. Calculate x.
-2, -1, 0, 6
Let j**4/3 - 4*j**3 + 12*j**2 - 32*j/3 = 0. Calculate j.
0, 2, 8
Solve w**4 - 17*w**2 - 36*w - 20 = 0.
-2, -1, 5
Factor -2*v**2/13 - 342*v/13 - 340/13.
-2*(v + 1)*(v + 170)/13
Find k, given that -2*k**3 - 408*k**2 + 7830*k - 35964 = 0.
-222, 9
Determine w so that 15*w**5 + 61*w**4 - 583*w**3 + 763*w**2 + 132*w - 108 = 0.
-9, -2/5, 1/3, 2, 3
Factor g**2/3 - 112*g/3 - 115.
(g - 115)*(g + 3)/3
Let 5*j**5 - 50*j**4 + 75*j**3 + 50*j**2 - 80*j = 0. Calculate j.
-