2 - 100*p = 0. Calculate p.
-10, 0, 1
Factor -2*b**4 - 2*b**3 + 24*b**2 + 56*b + 32.
-2*(b - 4)*(b + 1)*(b + 2)**2
Factor -o**4/7 - 11*o**3/7 - 6*o**2 - 64*o/7 - 32/7.
-(o + 1)*(o + 2)*(o + 4)**2/7
Factor 7*a**2/3 + 20*a/3 - 1.
(a + 3)*(7*a - 1)/3
Factor 75*k**4 - 210*k**3 + 207*k**2 - 84*k + 12.
3*(k - 1)**2*(5*k - 2)**2
Solve 2*t**4 - 222*t**3 + 428*t**2 + 888*t - 1744 = 0.
-2, 2, 109
Find f such that 2*f**3 + 398*f**2 + 1536*f - 4680 = 0.
-195, -6, 2
Solve 5*a**2 - 200*a = 0.
0, 40
Factor -2*x**2 + 108*x - 208.
-2*(x - 52)*(x - 2)
Factor 3*o**2/5 - 2223*o/5 - 2226/5.
3*(o - 742)*(o + 1)/5
Let 4*a**5/7 + 144*a**4/7 + 137*a**3/7 - 109*a**2/7 - 141*a/7 - 5 = 0. Calculate a.
-35, -1, -1/2, 1
Solve 5*t**2 + 1310*t = 0.
-262, 0
Let 4*r**3 + 76*r**2 - 168*r = 0. Calculate r.
-21, 0, 2
Find f such that -3*f**3/4 - 351*f**2/4 - 13689*f/4 - 177957/4 = 0.
-39
Solve -12*z**5 - 100*z**4 - 284*z**3 - 348*z**2 - 184*z - 32 = 0.
-4, -2, -1, -1/3
Factor 2*l**3 + 334*l**2 - 1360*l + 1368.
2*(l - 2)**2*(l + 171)
Suppose 5*l**4 + 3250*l**3 - 16335*l**2 + 26180*l - 13100 = 0. Calculate l.
-655, 1, 2
Solve 4*o**3 + 84*o**2 - 5488 = 0.
-14, 7
Factor -4*m**3 - 516*m**2 - 17388*m - 47628.
-4*(m + 3)*(m + 63)**2
Determine q so that -q**5/2 + 19*q**4/2 - 15*q**3/2 - 55*q**2/2 + 8*q + 18 = 0.
-1, 1, 2, 18
Find z such that -5*z**2 - 25*z - 20 = 0.
-4, -1
Factor -21*l**3 - 144*l**2 - 297*l - 162.
-3*(l + 3)**2*(7*l + 6)
Solve d**2/2 + 31*d/2 + 84 = 0 for d.
-24, -7
Suppose -i**4 + i**3 + 9*i**2 - 9*i = 0. What is i?
-3, 0, 1, 3
Solve -u**2 + 9 = 0 for u.
-3, 3
Factor -t**2/6 - 31*t/3.
-t*(t + 62)/6
Factor -2*t**2/13 + 38*t/13 + 660/13.
-2*(t - 30)*(t + 11)/13
Factor 2*u**3/9 + 1226*u**2/9 + 187270*u/9 - 188498/9.
2*(u - 1)*(u + 307)**2/9
Factor -5*g**3 + 52*g**2 - 20*g.
-g*(g - 10)*(5*g - 2)
Suppose 9*n**5 - 12*n**4 - 39*n**3 - 18*n**2 = 0. Calculate n.
-1, -2/3, 0, 3
Find t such that 2662*t**3 - 2376*t + 864 = 0.
-12/11, 6/11
Determine t so that 4*t**2 - 218*t/9 + 4/3 = 0.
1/18, 6
Factor -u**2/4 + u + 3.
-(u - 6)*(u + 2)/4
Factor 2*k**4/3 - 4*k**3/3 - 10*k**2/3 + 4*k.
2*k*(k - 3)*(k - 1)*(k + 2)/3
Let 2*u**5 - 6*u**4 - 30*u**3 - 34*u**2 - 12*u = 0. Calculate u.
-1, 0, 6
Solve -2*f**2/3 + 10*f/3 + 4 = 0 for f.
-1, 6
Factor -2*g**2 + 2220*g + 4448.
-2*(g - 1112)*(g + 2)
Suppose -956*r**4 + 2880*r**3 - 2904*r**2 + 992*r - 12 = 0. What is r?
3/239, 1
Suppose t**2/2 + 4427*t/6 - 246 = 0. Calculate t.
-1476, 1/3
Factor 3*u**3 + 18*u**2/7 - 3*u/7.
3*u*(u + 1)*(7*u - 1)/7
Suppose -9*d**4/7 - 66*d**3/7 - 3*d**2 = 0. What is d?
-7, -1/3, 0
What is n in 4*n**3 + 112*n**2 + 884*n + 1352 = 0?
-13, -2
Factor -20*r**4 - 205*r**3 - 230*r**2 - 45*r.
-5*r*(r + 1)*(r + 9)*(4*r + 1)
Factor -5*g**3 - 55*g**2 + 200*g - 140.
-5*(g - 2)*(g - 1)*(g + 14)
Solve -3*t**3 - 147*t**2 + 1320*t - 2736 = 0.
-57, 4
Solve -405*t**4 - 630*t**3 + 340*t**2 - 40*t = 0.
-2, 0, 2/9
Factor -3*g**5 - 45*g**4 + 102*g**3 - 6*g**2 - 99*g + 51.
-3*(g - 1)**3*(g + 1)*(g + 17)
Factor -3*y**2 + 42*y + 45.
-3*(y - 15)*(y + 1)
Determine v so that v**3 - 586*v**2 + 2332*v - 2328 = 0.
2, 582
Factor -r**2/3 + 12*r.
-r*(r - 36)/3
Let -p**4 - 12*p**3 - 48*p**2 - 64*p = 0. What is p?
-4, 0
Factor -2*y**2 + 1020*y - 130050.
-2*(y - 255)**2
Factor -3*v**2 - 162*v + 165.
-3*(v - 1)*(v + 55)
Factor 36*f**3 + 1468*f**2 - 18688*f + 4080.
4*(f - 10)*(f + 51)*(9*f - 2)
Factor 2*n**2 + 2752*n + 946688.
2*(n + 688)**2
Find c such that 3*c**3 - 1431*c**2 + 171360*c - 169932 = 0.
1, 238
Factor 4*n**2 + 10320*n + 6656400.
4*(n + 1290)**2
Factor -4*r**5 + 28*r**4 - 76*r**3 + 100*r**2 - 64*r + 16.
-4*(r - 2)**2*(r - 1)**3
Determine b so that -3*b**4 + 6*b**3 + 3*b**2 - 6*b = 0.
-1, 0, 1, 2
Factor -6*r**2 - 122*r + 584.
-2*(r - 4)*(3*r + 73)
Factor 2*d**4/5 - 39*d**3/5 + 23*d**2 - 48*d/5.
d*(d - 16)*(d - 3)*(2*d - 1)/5
Let w**3/3 - 62*w**2/3 - 87*w - 66 = 0. What is w?
-3, -1, 66
Factor -2*j**4/7 - 472*j**3/7 - 36480*j**2/7 - 870400*j/7 + 4096000/7.
-2*(j - 4)*(j + 80)**3/7
Let -n**2 + 26*n + 855 = 0. Calculate n.
-19, 45
Factor 5*v**2 + 600*v - 1220.
5*(v - 2)*(v + 122)
Let -q**2/4 + 15*q/4 = 0. What is q?
0, 15
Factor 6*n**4/5 - 22*n**3 + 522*n**2/5 - 162*n/5.
2*n*(n - 9)**2*(3*n - 1)/5
Find f, given that f**2 - 218*f - 663 = 0.
-3, 221
Determine o so that -2*o**2 + 24*o = 0.
0, 12
Factor 2*p**2/7 + 2438*p/7 - 2440/7.
2*(p - 1)*(p + 1220)/7
Factor 2*s**3/3 + 26*s**2 + 50*s + 74/3.
2*(s + 1)**2*(s + 37)/3
Factor 8*j**4 + 36*j**3 + 48*j**2 + 20*j.
4*j*(j + 1)**2*(2*j + 5)
Find s, given that 289*s**5/8 - 153*s**4/2 + 179*s**3/4 - 9*s**2/2 + s/8 = 0.
0, 1/17, 1
Find c such that -5*c**2 + 50*c - 125 = 0.
5
Solve 4*z**5 - 44*z**4 + 28*z**3 + 124*z**2 - 32*z - 80 = 0.
-1, 1, 2, 10
What is b in 2*b**2/3 - 116*b - 350/3 = 0?
-1, 175
Find z such that -22*z**3 + 276*z**2 + 142*z - 156 = 0.
-1, 6/11, 13
Factor -3*t**4 + 1494*t**3 - 187491*t**2 + 370512*t - 184512.
-3*(t - 248)**2*(t - 1)**2
Find q such that 4*q**5 + 44*q**4 - 204*q**3 - 412*q**2 + 1240*q - 672 = 0.
-14, -3, 1, 4
Find o, given that -5*o**4/6 - 110*o**3/3 + 725*o**2/6 + 470*o/3 = 0.
-47, -1, 0, 4
Let -4*j**5 - 352*j**4 - 1692*j**3 - 2672*j**2 - 1328*j = 0. What is j?
-83, -2, -1, 0
Solve 3*k**3 - 27*k**2 - 108*k = 0 for k.
-3, 0, 12
Suppose -4*h**4/3 + 204*h**3 - 24308*h**2/3 + 22900*h - 15000 = 0. Calculate h.
1, 2, 75
Let -x**2/4 - 29*x/2 - 54 = 0. What is x?
-54, -4
Solve -5*x**4 - 55*x**3 + 200*x**2 - 140*x = 0 for x.
-14, 0, 1, 2
Factor -2*j**2/5 + 4*j + 48/5.
-2*(j - 12)*(j + 2)/5
Factor -2*h**3/7 - 1122*h**2 - 1468698*h - 640841894.
-2*(h + 1309)**3/7
Factor -a**2/9 + 578*a/3 - 83521.
-(a - 867)**2/9
Suppose -576*q**2 - 579*q - 3 = 0. Calculate q.
-1, -1/192
Solve 2*w**3/3 - 2*w**2 + 2*w - 2/3 = 0.
1
Factor 5*q**2 - 7160*q + 2563280.
5*(q - 716)**2
What is k in 2*k**2 - 448*k + 25088 = 0?
112
Suppose 2*p**5/3 - 914*p**4 + 311900*p**3 + 2823572*p**2/3 + 943022*p + 314646 = 0. Calculate p.
-1, 687
Factor -2*z**4/5 - 8*z**3/5 + 32*z/5 + 32/5.
-2*(z - 2)*(z + 2)**3/5
Let 2*c**2/17 - 70*c/17 + 4 = 0. What is c?
1, 34
Let -18*l**4 - 39*l**3/2 + 30*l**2 - 6*l = 0. What is l?
-2, 0, 1/4, 2/3
Factor 3*b**4 + 18*b**3 + 27*b**2 + 12*b.
3*b*(b + 1)**2*(b + 4)
Factor 5*t**2 - 105*t + 520.
5*(t - 13)*(t - 8)
Let a**3/3 + 3*a**2 - 22*a/3 = 0. What is a?
-11, 0, 2
Find a, given that 3*a**3/7 + 6*a**2/7 - 72*a/7 = 0.
-6, 0, 4
Let -4*g**5 + 20*g**3 - 16*g = 0. Calculate g.
-2, -1, 0, 1, 2
Factor -4*c**3/5 + 922*c**2/5 - 52432*c/5 - 80736/5.
-2*(c - 116)**2*(2*c + 3)/5
Find b such that 13*b**4/3 + 55*b**3/3 - 11*b**2/3 - 49*b + 30 = 0.
-3, 10/13, 1
Find o, given that 5*o**4 - 145*o**3 + 1075*o**2 - 2375*o = 0.
0, 5, 19
Find t such that -18*t**4 + 9760*t**3 - 1333808*t**2 + 2920320*t - 583200 = 0.
2/9, 2, 270
Suppose 2*s**2/7 - 26*s/7 - 4 = 0. What is s?
-1, 14
Determine t so that 2*t**4/7 + 2*t**3 + 2*t**2 - 30*t/7 = 0.
-5, -3, 0, 1
Factor -3*k**4/4 - 27*k**3/4 - 18*k**2 - 15*k.
-3*k*(k + 2)**2*(k + 5)/4
Let -n**2/6 + 1900*n/3 - 1805000/3 = 0. What is n?
1900
Let 2*x**5/5 - 18*x**4/5 - 152*x**3/5 + 168*x**2/5 = 0. Calculate x.
-6, 0, 1, 14
What is g in 2*g**3 - 14*g**2 - 16*g = 0?
-1, 0, 8
Factor -3*y**2/7 - 12*y - 84.
-3*(y + 14)**2/7
Factor -17*x**3/5 - 20*x**2 - 124*x/5 + 16/5.
-(x + 2)*(x + 4)*(17*x - 2)/5
Solve 2*k**2/3 + 48*k + 2584/3 = 0.
-38, -34
Factor -3*c**5 - 2010*c**4 - 538680*c**3 - 72183120*c**2 - 4836269040*c - 129612010272.
-3*(c + 134)**5
Determine d so that 2*d**4/15 - 28*d**3/15 + 24*d**2/5 - 68*d/15 + 22/15 = 0.
1, 11
Suppose 2*h**4 + 24*h**3 + 102*h**2 + 184*h + 120 = 0. Calculate h.
-5, -3, -2
Factor v**2/5 - 17*v/5 + 12.
(v - 12)*(v - 5)/5
Factor 4*b**2/7 + 356*b/7 + 352/7.
4*(b + 1)*(b + 88)/7
Find n such that -n**2/5 - 7*n/5 + 8/5 = 0.
-8, 1
Factor -3*s**3 + 1209*s**2 - 1188*s - 7236.
-3*(s - 402)*(s - 3)*(s + 2)
Suppose -28*z**3/5 + 76*z**2 + 168*z/5 = 0. What is z?
-3/7, 0, 14
Factor 16*q**4/5 - 74*q**3 + 1968*q**2/5 + 2016*q/5.
2*q*(q - 12)**2*(8*q + 7)/5
Factor -v**4 + 24*v**3 - 85*v**2 + 102*v - 40.
-(v - 20)*(v - 2)*(v - 1)**2
Find t, given that t**5/3 - 2*t**3 - 8*t**2/3 - t = 0.
-1, 0, 3
Find f, given that -f**3 - 352*f**2 + 707*f - 354 = 0.
-354, 1
Factor -4*f**3 + 76*f**2 - 64*f - 144.
-4*(f - 18)*(f - 2)*(f + 1)
Let u**2 - 252*u + 15876 = 0. Calculate u.
12