*2 + 8049375*i - 11390625.
3*(i - 75)**3*(i - 3)**2
Factor -m**2/3 + 83*m - 1694/3.
-(m - 242)*(m - 7)/3
Solve -3*d**4/7 + 537*d**3/7 - 3942*d**2 + 309468*d/7 - 40344 = 0 for d.
1, 14, 82
Solve 4*v**4/7 + 24*v**3/7 + 32*v**2/7 - 24*v/7 - 36/7 = 0 for v.
-3, -1, 1
What is b in 14*b**5 + 102*b**4 + 266*b**3 + 306*b**2 + 152*b + 24 = 0?
-3, -2, -1, -2/7
Suppose -p**2/5 - 2*p - 24/5 = 0. What is p?
-6, -4
Let -b**2/3 + b/3 + 2 = 0. Calculate b.
-2, 3
Suppose -a**5/5 + 12*a**4/5 - 43*a**3/5 + 12*a**2 - 28*a/5 = 0. What is a?
0, 1, 2, 7
Determine c, given that -2*c**5/5 - 62*c**4/5 - 454*c**3/5 - 146*c**2 - 336*c/5 = 0.
-21, -8, -1, 0
Let -4*j**4 + 32*j**3 - 76*j**2 + 48*j = 0. Calculate j.
0, 1, 3, 4
What is o in -5*o**5 + 80*o**4 + 850*o**3 + 2520*o**2 + 2835*o + 1080 = 0?
-3, -1, 24
Factor g**3/9 + 8*g**2/9 + 7*g/3 + 2.
(g + 2)*(g + 3)**2/9
Factor 5*d**3 - 170*d**2.
5*d**2*(d - 34)
Factor -5*u**4 + 580*u**3 + 5*u**2 - 580*u.
-5*u*(u - 116)*(u - 1)*(u + 1)
Find k, given that 4*k**2 + 340*k = 0.
-85, 0
Find p such that 8*p**2 - 18*p = 0.
0, 9/4
Factor -69*d**2/4 + 415*d/4 - 3/2.
-(d - 6)*(69*d - 1)/4
Let -4*c**2 - 124*c - 336 = 0. Calculate c.
-28, -3
Factor 4*q**3 + 928*q**2 + 6324*q + 5400.
4*(q + 1)*(q + 6)*(q + 225)
Find h, given that -h**4/7 - 69*h**3/7 - 19*h**2 + 69*h/7 + 134/7 = 0.
-67, -2, -1, 1
Factor 5*f**3 - 645*f**2 - 1970*f - 1320.
5*(f - 132)*(f + 1)*(f + 2)
Factor -3*y**3 + 83*y**2/4 + 943*y/4 + 39/2.
-(y - 13)*(y + 6)*(12*y + 1)/4
Let -3*h**5 - 54*h**4 + 6*h**3 + 108*h**2 - 3*h - 54 = 0. What is h?
-18, -1, 1
Factor 2*l**3/9 + 4*l**2 - 2*l/9 - 4.
2*(l - 1)*(l + 1)*(l + 18)/9
Solve p**5 - p**4 - 12*p**3 - 4*p**2 + 16*p = 0 for p.
-2, 0, 1, 4
Find p such that -p**4/2 - 11*p**3 + 23*p**2/2 = 0.
-23, 0, 1
Find l, given that l**3/5 + 51*l**2/5 = 0.
-51, 0
Let 5*g**3 - 825*g**2 + 45375*g - 831875 = 0. What is g?
55
Suppose 3*q**4 - 45*q**3 + 39*q**2 + 45*q - 42 = 0. Calculate q.
-1, 1, 14
Factor -p**5 - 45*p**4 - 666*p**3 - 2970*p**2 + 6075*p + 30375.
-(p - 3)*(p + 3)*(p + 15)**3
Factor -4*o**4 - 120*o**3 - 228*o**2 - 112*o.
-4*o*(o + 1)**2*(o + 28)
Factor -3*t**2 + 321*t + 324.
-3*(t - 108)*(t + 1)
Determine b so that -b**5/3 - 212*b**4 - 634*b**3 - 1900*b**2/3 - 211*b = 0.
-633, -1, 0
Determine c so that -c**5 + 6*c**4 + 38*c**3 + 24*c**2 - 37*c - 30 = 0.
-3, -1, 1, 10
Solve 6*h**5/11 + 46*h**4/11 + 38*h**3/11 - 446*h**2/11 - 1164*h/11 - 720/11 = 0.
-4, -3, -1, 10/3
Factor x**3/3 - 163*x**2 + 648*x - 1940/3.
(x - 485)*(x - 2)**2/3
Solve 2*x**4/7 + 12*x**3/7 + 22*x**2/7 + 12*x/7 = 0.
-3, -2, -1, 0
Factor -f**2/8 + 403*f/4 + 807/8.
-(f - 807)*(f + 1)/8
Suppose 8*b**5 + 84*b**4 + 32*b**3 - 84*b**2 - 40*b = 0. Calculate b.
-10, -1, -1/2, 0, 1
Find v, given that 15*v**3 + 10*v**2 - 5*v = 0.
-1, 0, 1/3
Factor 3*c**4 - 6*c**3 + 3*c**2.
3*c**2*(c - 1)**2
Factor 2*l**3/23 + 198*l**2/23 + 4800*l/23 - 5000/23.
2*(l - 1)*(l + 50)**2/23
Factor -2*r**5 - 12*r**4 + 30*r**3 - 16*r**2.
-2*r**2*(r - 1)**2*(r + 8)
Factor q**5/2 - 3*q**4/2 - 3*q**3/2 + 7*q**2/2 + 3*q.
q*(q - 3)*(q - 2)*(q + 1)**2/2
Find u, given that 2*u**2/7 - 10*u/7 - 4 = 0.
-2, 7
Let 2*m**3 - 74*m**2 + 140*m = 0. What is m?
0, 2, 35
Solve -p**3/6 + 27*p**2/2 - 39*p = 0 for p.
0, 3, 78
Suppose 2*a**3/5 - 15166*a**2/5 + 5748672*a + 28758528/5 = 0. What is a?
-1, 3792
Factor -2*f**2 + 20168*f - 50843528.
-2*(f - 5042)**2
Suppose -5*f**4/2 + 385*f**3/2 - 555*f**2 - 10*f + 740 = 0. What is f?
-1, 2, 74
Suppose -4*b**4 - 52*b**3 + 3228*b**2 - 22412*b - 25688 = 0. What is b?
-38, -1, 13
Factor 5*d**4 + 315*d**3 + 305*d**2 - 315*d - 310.
5*(d - 1)*(d + 1)**2*(d + 62)
Let -3*j**4 + 6*j**3 + 3*j**2 - 6*j = 0. What is j?
-1, 0, 1, 2
Solve -o**4 + o**3/2 + 7*o**2 - 2*o - 12 = 0.
-2, -3/2, 2
Factor 2*a**3/11 - 20*a**2/11 + 18*a/11.
2*a*(a - 9)*(a - 1)/11
Solve g**3/5 - 7*g**2/5 + 4*g/5 + 12/5 = 0.
-1, 2, 6
Suppose 4*m**2 + 3160*m = 0. What is m?
-790, 0
Factor 3*g**2/4 - 237*g/4 + 1365/2.
3*(g - 65)*(g - 14)/4
Factor 2*z**2/3 + 308*z/3 + 608/3.
2*(z + 2)*(z + 152)/3
What is k in -10*k**5/11 + 184*k**4/11 - 872*k**3/11 + 140*k**2/11 + 882*k/11 - 324/11 = 0?
-1, 2/5, 1, 9
Find o such that -o**5/7 - 25*o**4/7 - 142*o**3/7 + 194*o**2/7 + 143*o/7 - 169/7 = 0.
-13, -1, 1
Factor -f**2/10 - 127*f/10.
-f*(f + 127)/10
What is w in w**4/3 - 40*w**3/3 - 201*w**2 - 1190*w/3 + 5096/3 = 0?
-7, 2, 52
Let -i**5/6 + 46*i**4/3 - 2377*i**3/6 + 6067*i**2/3 - 11438*i/3 + 7396/3 = 0. Calculate i.
2, 43
Find s such that -s**4 + 17*s**3 + 3*s**2 - 53*s + 34 = 0.
-2, 1, 17
Suppose -5*i**4 - 30*i**3 + 75*i**2 - 40*i = 0. What is i?
-8, 0, 1
Suppose -5*i**5 + 5*i**4 + 45*i**3 - 45*i**2 = 0. Calculate i.
-3, 0, 1, 3
Factor 4*v**2 + 128*v + 1024.
4*(v + 16)**2
Factor -4*q**3/3 + 3952*q**2/3 - 7892*q/3 + 3944/3.
-4*(q - 986)*(q - 1)**2/3
Factor -i**3 + 117*i**2 - 116*i.
-i*(i - 116)*(i - 1)
Factor 2*v**3 - 24*v - 32.
2*(v - 4)*(v + 2)**2
Solve 2*r**2/7 - 276*r/7 - 278/7 = 0.
-1, 139
Factor 2*h**3/5 + 2*h**2/5 - 12*h/5.
2*h*(h - 2)*(h + 3)/5
Factor -2*g**2 + 48*g + 104.
-2*(g - 26)*(g + 2)
Factor 4*i**2 - 124*i + 120.
4*(i - 30)*(i - 1)
Determine p, given that p**2 - 149*p + 580 = 0.
4, 145
Suppose 2*h**5 + 10*h**4 - 12*h**3 - 64*h**2 + 64*h = 0. What is h?
-4, 0, 1, 2
Suppose -2*q**2/21 + 320*q/3 = 0. Calculate q.
0, 1120
Factor -2*h**3 - 12*h**2 + 14*h.
-2*h*(h - 1)*(h + 7)
What is i in 3*i**4 - 75*i**3 + 447*i**2 + 75*i - 450 = 0?
-1, 1, 10, 15
Solve -2*d**5/11 + 60*d**4/11 - 696*d**3/11 + 3856*d**2/11 - 9984*d/11 + 9216/11 = 0.
2, 6, 8
Factor -2*o**3 + 50*o**2 - 158*o - 210.
-2*(o - 21)*(o - 5)*(o + 1)
Factor -k**5/3 + 4*k**4/3 - k**3.
-k**3*(k - 3)*(k - 1)/3
Factor 8*y**2 - 20*y + 8.
4*(y - 2)*(2*y - 1)
Factor -4*d**3 - 308*d**2 + 628*d - 316.
-4*(d - 1)**2*(d + 79)
Suppose -4*d**4/9 - 1958*d**3/9 - 79706*d**2/3 + 121030*d/9 + 120050/9 = 0. What is d?
-245, -1/2, 1
Solve 3*b**4 + 1188*b**3 + 116415*b**2 - 237606*b = 0 for b.
-199, 0, 2
Factor -2*z**3 - 16*z**2 + 86*z + 220.
-2*(z - 5)*(z + 2)*(z + 11)
Factor -2*z**3/5 - 18*z**2 - 88*z/5.
-2*z*(z + 1)*(z + 44)/5
Factor -4*z**3 - 200*z**2 - 1244*z - 1720.
-4*(z + 2)*(z + 5)*(z + 43)
Factor -2*p**2 - 112*p.
-2*p*(p + 56)
Factor 3*u**4 + 6*u**3 - 621*u**2 - 3888*u.
3*u*(u - 16)*(u + 9)**2
Determine q so that 3*q**5 + 1047*q**4 + 90810*q**3 - 97134*q**2 - 462525*q - 275625 = 0.
-175, -1, 3
Suppose 12*h**4 - 172*h**3 + 356*h**2 - 244*h + 48 = 0. Calculate h.
1/3, 1, 12
Suppose -5*q**5 + 885*q**4 - 870*q**3 - 1760*q**2 = 0. Calculate q.
-1, 0, 2, 176
Find p such that p**3/2 + 111*p**2 - 447*p/2 + 112 = 0.
-224, 1
Suppose -6*t**4/11 - 350*t**3/11 - 5162*t**2/11 - 1682*t/11 = 0. Calculate t.
-29, -1/3, 0
Determine c so that -c**4 - 20*c**3 - 53*c**2 + 206*c + 480 = 0.
-16, -5, -2, 3
Solve 2*n**2/19 - 1632*n/19 + 332928/19 = 0 for n.
408
Factor -25*i**3 - 335*i**2 + 220*i + 140.
-5*(i - 1)*(i + 14)*(5*i + 2)
What is h in -h**4 - 30*h**3 - 57*h**2 - 28*h = 0?
-28, -1, 0
Factor 4*q**2 - 1084*q - 3288.
4*(q - 274)*(q + 3)
Factor -4*i**2 + 52*i - 48.
-4*(i - 12)*(i - 1)
Factor 7*w**3/4 + 13*w**2 + 63*w/4 + 9/2.
(w + 1)*(w + 6)*(7*w + 3)/4
Solve -3*g**5/5 + 102*g**4/5 - 1362*g**3/5 + 8928*g**2/5 - 5751*g + 7290 = 0.
5, 6, 9
Find t, given that -2*t**2 - 34*t = 0.
-17, 0
What is a in 2*a**4/5 + 2*a**3/5 - 12*a**2/5 = 0?
-3, 0, 2
Find i such that 4*i**2 + 20*i = 0.
-5, 0
Find j, given that 2*j**2/7 - 1416*j/7 + 202 = 0.
1, 707
Factor 32*h**4 + 16*h**3 - 14*h**2 + 2*h.
2*h*(h + 1)*(4*h - 1)**2
Factor 3*o**3 + 27*o**2 + 42*o.
3*o*(o + 2)*(o + 7)
Solve 4*s**5 + 60*s**4 + 212*s**3 - 332*s**2 - 1512*s + 1568 = 0.
-7, -4, 1, 2
Factor 9*k**3 + 147*k**2 + 300*k + 84.
3*(k + 2)*(k + 14)*(3*k + 1)
Let -26450*b**3/9 - 25990*b**2/9 + 458*b/9 - 2/9 = 0. What is b?
-1, 1/115
Factor -6*r**2/7 - 242*r/7 - 80/7.
-2*(r + 40)*(3*r + 1)/7
Factor -8*g**3/5 - 3*g**2 - 6*g/5 + 1/5.
-(g + 1)**2*(8*g - 1)/5
Solve -5*j**3 - 145*j**2 - 270*j = 0 for j.
-27, -2, 0
What is k in k**2 - 79*k = 0?
0, 79
Factor 8*a**3/3 - 50*a**2/3 + 76*a/3 - 34/3.
2*(a - 1)**2*(4*a - 17)/3
Suppose -g**4 - 123*g**3 + 3*g**2 + 367*g - 246 = 0. What is g?
-123, -2, 1
Suppose r**4/4 + 5*r**3/4 - 3*r**2/4 - 45*r/4 - 27/2 = 0. Calculate r.
-3, -2, 3
Solve -3*x**4/4 - 1095*x**3/4 - 24561*x**2 + 77280*x + 101568 = 0.
-184, -1, 4
Find p such th