3 - 206*r/13 + 140/13 = 0. What is r?
-35, -1, 2/7
Suppose 12*i**5 - 220*i**4 + 1236*i**3 - 2548*i**2 + 1920*i - 400 = 0. Calculate i.
1/3, 1, 2, 5, 10
Factor 2*r**3/3 + 12*r**2 - 96*r.
2*r*(r - 6)*(r + 24)/3
Factor -2*t**4/11 - 4*t**3/11 + 6*t**2/11.
-2*t**2*(t - 1)*(t + 3)/11
Find g such that 2*g**2/9 - 2*g/9 = 0.
0, 1
Factor 2*d**3/7 + 60*d**2/7 + 216*d/7 - 3888/7.
2*(d - 6)*(d + 18)**2/7
Suppose 2*w**5/5 + 17*w**4/5 + 33*w**3/5 + 18*w**2/5 = 0. What is w?
-6, -3/2, -1, 0
Find o, given that -2*o**5/11 + 30*o**4/11 - 174*o**3/11 + 482*o**2/11 - 624*o/11 + 288/11 = 0.
1, 3, 4
Factor -u**5/9 + 14*u**4/9 + 152*u**3/9 + 496*u**2/9 + 688*u/9 + 352/9.
-(u - 22)*(u + 2)**4/9
Let -222*l**4/11 + 668*l**3/11 - 6*l**2/11 = 0. What is l?
0, 1/111, 3
Let c**2/8 + 109*c/4 + 159 = 0. What is c?
-212, -6
Factor 3*k**5 + 3*k**4 - 9*k**3 - 15*k**2 - 6*k.
3*k*(k - 2)*(k + 1)**3
Find h, given that -33*h**5 + 171*h**4 - 327*h**3 + 285*h**2 - 108*h + 12 = 0.
2/11, 1, 2
Find s such that -s**5/3 - s**4/3 + 11*s**3/3 + 3*s**2 - 6*s = 0.
-3, -2, 0, 1, 3
Factor q**3/3 + 28*q**2 + 343*q - 33614/3.
(q - 14)*(q + 49)**2/3
Find r such that -2*r**2/3 - 16*r/3 + 256/3 = 0.
-16, 8
Determine w, given that 5*w**4 - 10*w**3 - 135*w**2 + 540*w - 540 = 0.
-6, 2, 3
Suppose -3*v**2/7 - 19686*v/7 - 32294883/7 = 0. What is v?
-3281
Suppose -3*z**3 + 27*z**2 - 42*z = 0. What is z?
0, 2, 7
Suppose y**4 - y**3 = 0. What is y?
0, 1
Factor -y**2 + 3107*y + 3108.
-(y - 3108)*(y + 1)
Let 3*f**2 - 138*f - 2301 = 0. Calculate f.
-13, 59
Factor 2*h**3/3 + 136*h**2/3 + 2312*h/3.
2*h*(h + 34)**2/3
Factor -4*a**4 + 744*a**3 + 3844*a**2 - 4584*a.
-4*a*(a - 191)*(a - 1)*(a + 6)
Factor -m**5 + 122*m**4 - 3840*m**3 + 7200*m**2.
-m**2*(m - 60)**2*(m - 2)
Factor 4*s**5 + 808*s**4 + 53856*s**3 + 1146752*s**2 - 2515456*s.
4*s*(s - 2)*(s + 68)**3
Suppose t**2/8 - t - 33/8 = 0. Calculate t.
-3, 11
Factor -2*q**5/9 + 16*q**4/9 - 40*q**3/9 + 32*q**2/9.
-2*q**2*(q - 4)*(q - 2)**2/9
Factor -12*x**4 - 240*x**3 - 1479*x**2 - 2601*x.
-3*x*(x + 3)*(2*x + 17)**2
Suppose -5*l**5 - 100*l**4 + 380*l**3 + 730*l**2 - 1815*l - 2070 = 0. What is l?
-23, -2, -1, 3
Factor -v**3/5 + 2*v**2 - 29*v/5 + 4.
-(v - 5)*(v - 4)*(v - 1)/5
Factor -25*k**2 - 435*k - 170.
-5*(k + 17)*(5*k + 2)
Factor -g**3/7 + 235*g**2/7 - 1367*g/7 - 229.
-(g - 229)*(g - 7)*(g + 1)/7
Suppose -4*o**3/5 + 128*o**2/5 - 1232*o/5 + 3136/5 = 0. Calculate o.
4, 14
Solve 25*u**5 + 115*u**4 - 575*u**3 + 785*u**2 - 430*u + 80 = 0 for u.
-8, 2/5, 1
Factor -2*y**2 + 42*y + 92.
-2*(y - 23)*(y + 2)
Factor 2*h**2 + 2*h - 84.
2*(h - 6)*(h + 7)
Find f, given that -f**2/2 - 705*f - 497025/2 = 0.
-705
Factor -2*v**3/9 - 14*v**2/3 - 80*v/3 - 416/9.
-2*(v + 4)**2*(v + 13)/9
Factor 2*z**5 + 25*z**4 + 72*z**3 - 170*z**2 - 850*z - 375.
(z - 3)*(z + 5)**3*(2*z + 1)
Factor h**5/2 - 15*h**4/2 + 69*h**3/2 - 65*h**2/2 - 75*h.
h*(h - 6)*(h - 5)**2*(h + 1)/2
Factor o**4/7 + 12*o**3/7 - 121*o**2/7 + 228*o/7.
o*(o - 4)*(o - 3)*(o + 19)/7
Factor 14*h**4 + 298*h**3 + 84*h**2.
2*h**2*(h + 21)*(7*h + 2)
Suppose k**4/2 + 145*k**3/2 - 897*k**2/2 + 1359*k/2 = 0. What is k?
-151, 0, 3
Factor 4*b**2/7 - 200*b/7 + 28.
4*(b - 49)*(b - 1)/7
Determine j, given that -4*j**3/9 + 4*j**2/9 + 64*j/9 - 64/9 = 0.
-4, 1, 4
Suppose 24*d**5 + 117*d**4 - 231*d**3 - 1917*d**2 - 2349*d + 324 = 0. What is d?
-3, 1/8, 4
Suppose 2*h**3/17 - 4*h**2/17 - 50*h/17 + 100/17 = 0. What is h?
-5, 2, 5
Factor 150*r**2 - 210*r + 147/2.
3*(10*r - 7)**2/2
Factor -h**4/3 - 8*h**3/3 + 11*h**2 - 4*h/3 - 44/3.
-(h - 2)**2*(h + 1)*(h + 11)/3
Suppose -f**5/7 + 5*f**4/7 + 17*f**3/7 - 3*f**2 = 0. What is f?
-3, 0, 1, 7
Factor -192*c**3 + 8784*c**2 - 133956*c + 680943.
-3*(4*c - 61)**3
Factor -20*d**2 + 6*d.
-2*d*(10*d - 3)
Let 2*s**5/7 - 510*s**4/7 + 48640*s**3/7 - 2048000*s**2/7 + 31457280*s/7 + 33554432/7 = 0. Calculate s.
-1, 64
Let 3*v**3 + 813*v**2/5 + 4482*v/5 + 864/5 = 0. What is v?
-48, -6, -1/5
Factor f**2/2 + 109*f + 11881/2.
(f + 109)**2/2
Determine v, given that 42*v**2/11 + 80*v/11 - 8/11 = 0.
-2, 2/21
Determine u, given that -u**5/3 - 6*u**4 - 20*u**3 + 200*u**2/3 = 0.
-10, 0, 2
Factor 2*b**3/3 + b**2/3.
b**2*(2*b + 1)/3
Find z, given that 5*z**2 + 250*z + 245 = 0.
-49, -1
Factor -4*k**2 + 96*k - 92.
-4*(k - 23)*(k - 1)
Find h such that -8*h**3/7 + 44*h**2/7 - 52*h/7 + 16/7 = 0.
1/2, 1, 4
Factor a**2/2 - 141*a/2 + 70.
(a - 140)*(a - 1)/2
Find x, given that 2*x**2/9 + 6*x - 56/9 = 0.
-28, 1
Determine j, given that 12*j**4 - 218*j**3 + 960*j**2 - 874*j + 120 = 0.
1/6, 1, 5, 12
Factor l**2/2 - l - 3/2.
(l - 3)*(l + 1)/2
Find p such that 133*p**3/2 - 1931*p**2/3 - 638*p/3 - 20/3 = 0.
-2/7, -2/57, 10
Let -2*r**3 + 5*r**2 - 3*r = 0. Calculate r.
0, 1, 3/2
Factor 3*i**5 - i**4 - 35*i**3 + 61*i**2 - 28*i.
i*(i - 1)**2*(i + 4)*(3*i - 7)
Determine w so that -w**4/10 - 13*w**3/10 - 51*w**2/10 - 7*w/2 + 10 = 0.
-5, -4, 1
Factor 5*m**2 + 130*m + 440.
5*(m + 4)*(m + 22)
Solve -3*h**3 - 351*h**2 + 354*h = 0.
-118, 0, 1
Factor 25*y**3 + 9540*y**2 + 5705*y - 3810.
5*(y + 1)*(y + 381)*(5*y - 2)
Find l, given that -5*l**2/4 - 35*l + 3825/4 = 0.
-45, 17
Solve -w**2/11 + 520*w/11 - 2064/11 = 0 for w.
4, 516
Determine m, given that m**4 + m**3 - 21*m**2 - m + 20 = 0.
-5, -1, 1, 4
Suppose 36*i**4 - 795*i**3 + 39*i**2 + 588*i + 132 = 0. What is i?
-2/3, -1/4, 1, 22
Let 2*u**3/19 + 938*u**2/19 - 1882*u/19 + 942/19 = 0. Calculate u.
-471, 1
Factor 5*i**2.
5*i**2
Factor -w**4 + 52*w**3 + 219*w**2 + 278*w + 112.
-(w - 56)*(w + 1)**2*(w + 2)
Solve 2*q**5 + 11*q**4 - 6*q**3 - 64*q**2 + 32*q = 0 for q.
-4, 0, 1/2, 2
Factor -2*i**3 - 24*i**2 - 96*i - 128.
-2*(i + 4)**3
Determine q, given that -q**3/6 + 143*q**2/3 - 569*q/6 + 142/3 = 0.
1, 284
Factor 45*j**2 + 140*j - 425.
5*(j + 5)*(9*j - 17)
Suppose -5*l**2 + 20*l + 105 = 0. What is l?
-3, 7
Determine b, given that -2*b**4/13 + 230*b**3/13 - 666*b**2 + 7722*b + 18252 = 0.
-2, 39
Let 4*p**5/5 + 84*p**4/5 - 76*p**3 + 492*p**2/5 - 40*p = 0. Calculate p.
-25, 0, 1, 2
Let -w**3/4 + 189*w**2/4 - 11907*w/4 + 250047/4 = 0. What is w?
63
Let 15*g**5 - 205*g**4 - 1150*g**3 - 360*g**2 = 0. What is g?
-4, -1/3, 0, 18
What is f in 4*f**4 + 632*f**3 + 27364*f**2 + 189600*f + 360000 = 0?
-75, -4
Determine g so that 2*g**2/15 - 44*g/15 + 16/3 = 0.
2, 20
Find p such that -4*p**2/7 - 1464*p/7 = 0.
-366, 0
Factor -2*x**5/15 - 18*x**4/5 - 48*x**3/5.
-2*x**3*(x + 3)*(x + 24)/15
Find l, given that -l**2/3 + 484*l + 1453/3 = 0.
-1, 1453
Factor 3*h**4/2 + 165*h**3 - 504*h**2 + 507*h - 339/2.
3*(h - 1)**3*(h + 113)/2
Factor -b**2 - 10150*b - 25755625.
-(b + 5075)**2
Determine n, given that -n**3 + 5523*n**2 - 10167843*n + 6239666321 = 0.
1841
Determine i so that 10*i**5 - 644*i**4 - 1754*i**3 + 764*i**2 + 2696*i - 1072 = 0.
-2, 2/5, 1, 67
Factor 2*d**3/15 + 44*d**2/15 - 32*d/5.
2*d*(d - 2)*(d + 24)/15
Find q, given that q**5/5 + 9*q**4/5 + 31*q**3/5 + 51*q**2/5 + 8*q + 12/5 = 0.
-3, -2, -1
Factor 2*c**2 - 480*c - 1952.
2*(c - 244)*(c + 4)
Determine j so that j**2 + 37*j = 0.
-37, 0
Factor 4*q**4/5 - 104*q**3/5 + 288*q**2/5 - 56*q + 92/5.
4*(q - 23)*(q - 1)**3/5
Factor -7*o**2/3 + 194*o/3 + 56/3.
-(o - 28)*(7*o + 2)/3
Factor -3*y**4/5 + 6*y**3/5 + 9*y**2/5 - 12*y/5 - 12/5.
-3*(y - 2)**2*(y + 1)**2/5
Factor n**5 + 127*n**4 - 129*n**3 - 127*n**2 + 128*n.
n*(n - 1)**2*(n + 1)*(n + 128)
Factor 3*k**4 - 3*k**3 - 30*k**2 - 24*k.
3*k*(k - 4)*(k + 1)*(k + 2)
Factor u**2/7 + 15*u/7 + 2.
(u + 1)*(u + 14)/7
Find f such that 2*f**2 + 32*f + 110 = 0.
-11, -5
Let 2*s**5 - 254*s**4 - 514*s**3 - 258*s**2 = 0. Calculate s.
-1, 0, 129
Factor -a**2/2 + 629*a - 395641/2.
-(a - 629)**2/2
Solve -2*w**3/5 - 208*w**2/5 - 770*w - 19844/5 = 0 for w.
-82, -11
Factor 2*h**3/13 - 92*h**2 - 3602*h/13 - 2404/13.
2*(h - 601)*(h + 1)*(h + 2)/13
Factor s**2 - 13*s - 114.
(s - 19)*(s + 6)
What is v in 2*v**4/7 - 104*v**3/7 + 202*v**2/7 - 100*v/7 = 0?
0, 1, 50
Determine b, given that -5*b**4 + 451*b**3/7 - 172*b**2 - 28*b + 144/7 = 0.
-2/5, 2/7, 4, 9
Factor 2*r**2 - 204*r + 5202.
2*(r - 51)**2
What is m in 2*m**5 - 170*m**4 - 178*m**3 + 514*m**2 + 176*m - 344 = 0?
-2, -1, 1, 86
Factor -2*g**4/7 + 200*g**3/7 - 7500*g**2/7 + 125000*g/7 - 781250/7.
-2*(g - 25)**4/7
Factor -l**5 - 5*l**4.
-l**4*(l + 5)
Suppose -2*t**3/11 - 4*t**2 - 158*t/11 + 204/11 = 0. Calcu