1
Solve -i**2 + 22*i = 0.
0, 22
Factor 4*n**4 + 40*n**3 - 48*n**2 - 40*n + 44.
4*(n - 1)**2*(n + 1)*(n + 11)
Determine t so that -2*t**3/9 + 152*t**2/9 - 1166*t/3 + 2420 = 0.
10, 33
What is u in u**3/2 - 7*u**2/4 + 3*u/2 = 0?
0, 3/2, 2
What is o in -2*o**4/3 + 10*o**3/3 = 0?
0, 5
Find r, given that 925*r**2 + 15*r = 0.
-3/185, 0
Factor -g**3/6 + 4*g**2/3 + 19*g/6 + 5/3.
-(g - 10)*(g + 1)**2/6
Factor m**4/5 + 143*m**3/5 - 58*m**2.
m**2*(m - 2)*(m + 145)/5
Factor -2*m**4/13 + 12*m**3/13 - 10*m**2/13.
-2*m**2*(m - 5)*(m - 1)/13
Factor 3*t**3 + 669*t**2 - 6915*t + 17475.
3*(t - 5)**2*(t + 233)
Factor -a**5/4 + 145*a**4/4 - 4205*a**3/2 + 121945*a**2/2 - 3536405*a/4 + 20511149/4.
-(a - 29)**5/4
Solve -4*m**3/3 - 28*m**2 = 0.
-21, 0
What is u in -3*u**2/4 - 153*u - 7803 = 0?
-102
Factor 3*w**3 + 67*w**2 - 122*w - 48.
(w - 2)*(w + 24)*(3*w + 1)
Determine y, given that -4*y**4/5 + 8*y**3/5 + 16*y**2 + 96*y/5 = 0.
-2, 0, 6
Determine c so that c**5 + 10*c**4 + 8*c**3 - 10*c**2 - 9*c = 0.
-9, -1, 0, 1
Factor 4*r**4 + 62*r**3 - 120*r**2 - 306*r.
2*r*(r - 3)*(r + 17)*(2*r + 3)
Factor -2*x**4/5 + 80*x**3 - 21146*x**2/5 + 112908*x/5.
-2*x*(x - 97)**2*(x - 6)/5
Find k such that -3*k**5 - 6*k**4 + 12*k**3 + 24*k**2 = 0.
-2, 0, 2
Factor 2*p**2 + 28*p + 48.
2*(p + 2)*(p + 12)
Let -2*d**4/7 - 206*d**3/7 - 202*d**2/7 + 206*d/7 + 204/7 = 0. Calculate d.
-102, -1, 1
Factor 3*f**2 + 3*f.
3*f*(f + 1)
Find y, given that 3*y**2/7 + 162*y/7 - 165/7 = 0.
-55, 1
Factor 5*d**3 - 5*d**2 - 25*d - 15.
5*(d - 3)*(d + 1)**2
Solve 112*k**2/11 - 1686*k/11 + 90/11 = 0.
3/56, 15
Solve -3*l**2 + 126*l - 123 = 0.
1, 41
Determine t so that -4*t**5 + 20*t**4 + 4*t**3 - 20*t**2 = 0.
-1, 0, 1, 5
Solve -o**2/4 + 41*o/4 + 43/2 = 0 for o.
-2, 43
Factor 2*h**2/11 - 104*h/11 + 1352/11.
2*(h - 26)**2/11
Determine u so that u**2 + 3*u = 0.
-3, 0
Determine k so that -4*k**4/3 - 3*k**3 + 2*k**2/3 + 3*k + 2/3 = 0.
-2, -1, -1/4, 1
Factor -25*m**3 + 270*m**2 + 355*m + 60.
-5*(m - 12)*(m + 1)*(5*m + 1)
Suppose 10*x**3 - 315*x**2 - 165*x + 160 = 0. What is x?
-1, 1/2, 32
Factor -3*j**3/5 - 9*j**2 + 18*j/5 + 168.
-3*(j - 4)*(j + 5)*(j + 14)/5
Factor 2*m**3/5 + 2*m**2 + 14*m/5 + 6/5.
2*(m + 1)**2*(m + 3)/5
Determine q, given that 68*q**3/7 + 116*q**2/7 - 128*q/7 - 176/7 = 0.
-2, -1, 22/17
Factor 3*s**3/4 + 87*s**2/4 + 60*s + 39.
3*(s + 1)*(s + 2)*(s + 26)/4
Solve 12*k**5 + 44*k**4 - 220*k**3 - 652*k**2 + 240*k = 0.
-5, -3, 0, 1/3, 4
Factor -v**2 + 306*v - 23409.
-(v - 153)**2
Factor j**3 + 2292*j**2 + 1317888*j + 5234944.
(j + 4)*(j + 1144)**2
Factor -3*u**3/2 - 63*u**2/2 + 36*u + 66.
-3*(u - 2)*(u + 1)*(u + 22)/2
Determine c so that 14*c**3 - 376*c**2 - 2826*c - 396 = 0.
-6, -1/7, 33
Find y, given that -2*y**3/7 + 232*y**2/7 + 234*y/7 = 0.
-1, 0, 117
Determine x, given that 4*x**2 - 184*x - 588 = 0.
-3, 49
What is d in 4*d**2 - 460*d - 7224 = 0?
-14, 129
Factor -l**5/5 + 429*l**4/5 - 46224*l**3/5 + 45796*l**2/5.
-l**2*(l - 214)**2*(l - 1)/5
Suppose -3*o**5 - 204*o**4 - 3255*o**3 + 7350*o**2 = 0. Calculate o.
-35, 0, 2
Determine q, given that 3*q**2 - 459*q + 5838 = 0.
14, 139
Factor -2*u**3/19 + 2*u**2/19.
-2*u**2*(u - 1)/19
Let -2*o**2/9 - 32*o/3 + 2720/9 = 0. What is o?
-68, 20
Determine w so that 4*w**3 - 4*w**2 - 16*w + 16 = 0.
-2, 1, 2
Solve 3*f**4 + 15*f**3 - 9*f**2 - 51*f - 30 = 0.
-5, -1, 2
Factor -c**4/4 - 5*c**3/4 + 57*c**2/4 - 95*c/4 + 11.
-(c - 4)*(c - 1)**2*(c + 11)/4
What is v in v**3 - 27*v**2 + 47*v + 75 = 0?
-1, 3, 25
Let n**4/4 + 9*n**3/4 + 5*n**2 + 3*n = 0. What is n?
-6, -2, -1, 0
Find m such that 55488*m**3 + 54672*m**2 - 813*m + 3 = 0.
-1, 1/136
Factor -4*r**2/5 + 68*r/5 + 72/5.
-4*(r - 18)*(r + 1)/5
Determine n, given that 98*n**4 - 252*n**3 + 218*n**2 - 72*n + 8 = 0.
2/7, 1
Factor -a**3 - 95*a**2 + a + 95.
-(a - 1)*(a + 1)*(a + 95)
Determine k so that -5*k**5 + 15*k**4 + 50*k**3 = 0.
-2, 0, 5
Factor 2*x**2/23 - 3802*x/23 - 3804/23.
2*(x - 1902)*(x + 1)/23
Factor -2*f**3/3 - 12*f**2 - 214*f/3 - 140.
-2*(f + 5)*(f + 6)*(f + 7)/3
Factor 2*x**2/17 + 12*x/17 - 54/17.
2*(x - 3)*(x + 9)/17
Find f, given that 2*f**5/9 + 4*f**4/3 - 2*f**3/9 - 4*f**2/3 = 0.
-6, -1, 0, 1
Factor g**5 + 2*g**4 - 2*g**2 - g.
g*(g - 1)*(g + 1)**3
Find x such that 2*x**5/7 - 22*x**3/7 - 12*x**2/7 + 8*x + 48/7 = 0.
-2, -1, 2, 3
Factor -12*r**5 - 16*r**4 - 4*r**3.
-4*r**3*(r + 1)*(3*r + 1)
Let 6*b**5/5 + 37*b**4/5 + 11*b**3 - 21*b**2/5 - 9*b = 0. What is b?
-3, -1, 0, 5/6
Suppose 158*z**4 - 784*z**3 - 188*z**2 + 784*z + 30 = 0. What is z?
-1, -3/79, 1, 5
Factor -3*z**4 + 39*z**2 + 36*z.
-3*z*(z - 4)*(z + 1)*(z + 3)
Factor 9*v**3 - 51*v**2 + 66*v - 24.
3*(v - 4)*(v - 1)*(3*v - 2)
Find l such that 4*l**4/9 - 22*l**3 + 32*l**2/3 + 98*l/9 = 0.
-1/2, 0, 1, 49
Find o such that 10*o**4/17 - 6*o**3/17 - 78*o**2/17 - 98*o/17 - 36/17 = 0.
-1, 18/5
Let -j**3 + 109*j**2 - 2800*j - 9408 = 0. Calculate j.
-3, 56
Let -n**4 - 6*n**3 - 12*n**2 - 10*n - 3 = 0. What is n?
-3, -1
Suppose -2*i**5/9 + 22*i**4/9 - 38*i**3/9 + 2*i**2 = 0. Calculate i.
0, 1, 9
Let 2*a**2/7 + 236*a/7 + 6962/7 = 0. Calculate a.
-59
What is l in 3*l**4 + 330*l**3 - 1020*l**2 - 330*l + 1017 = 0?
-113, -1, 1, 3
Factor 2*p**2/3 - 86*p/3.
2*p*(p - 43)/3
Factor 2*r**5 + 194*r**4 + 7056*r**3 + 115280*r**2 + 747296*r + 638880.
2*(r + 1)*(r + 22)**3*(r + 30)
Determine v so that 2*v**4 + 24*v**3 - 84*v**2 + 88*v - 30 = 0.
-15, 1
Suppose 15*h**4 - 639*h**3 + 372*h**2 + 252*h = 0. What is h?
-2/5, 0, 1, 42
Determine p so that 36*p**5 - 460*p**4 + 1192*p**3 + 288*p**2 = 0.
-2/9, 0, 4, 9
Factor 1371*g**2 + 1365*g - 6.
3*(g + 1)*(457*g - 2)
Find z such that 4*z**5/3 + 7304*z**4/3 + 1481088*z**3 + 299671848*z**2 - 301155372*z = 0.
-609, 0, 1
Suppose -3*a**4 + 48*a**3 - 123*a**2 + 78*a = 0. What is a?
0, 1, 2, 13
Determine i so that 2*i**5 + 6*i**4 - 92*i**3 - 356*i**2 + 90*i + 350 = 0.
-5, -1, 1, 7
Determine m, given that 12*m**4/5 + 54324*m**3/5 + 61454019*m**2/5 - 61494768*m/5 + 15377088/5 = 0.
-2264, 1/2
Factor 2*r**3/7 + 8*r**2/7 + 8*r/7.
2*r*(r + 2)**2/7
Determine f so that -2*f**3/25 - 24*f**2/25 - 78*f/25 - 56/25 = 0.
-7, -4, -1
Solve 5*w**3 - 6260*w**2 + 12505*w - 6250 = 0 for w.
1, 1250
Factor -3*f**3/2 + 111*f**2/2 - 249*f + 288.
-3*(f - 32)*(f - 3)*(f - 2)/2
Factor -5*z**5/2 - 135*z**4/2 - 975*z**3/2 - 845*z**2/2.
-5*z**2*(z + 1)*(z + 13)**2/2
Factor 2*j**4 - 390*j**3 - 1184*j**2 - 792*j.
2*j*(j - 198)*(j + 1)*(j + 2)
Factor p**2 - 71*p + 504.
(p - 63)*(p - 8)
Find c, given that 6*c**5/7 - 21*c**4 - 396*c**3/7 - 246*c**2/7 + 78*c/7 + 81/7 = 0.
-1, 1/2, 27
Solve -28*g**4 - 3704*g**3 + 10284*g**2 + 3240*g = 0.
-135, -2/7, 0, 3
Factor -3*x**5 - 264*x**4 - 5808*x**3.
-3*x**3*(x + 44)**2
Solve -5*j**3 - 315*j**2 - 300*j + 620 = 0.
-62, -2, 1
Suppose 2*w**5 - 172*w**4 - 720*w**3 = 0. What is w?
-4, 0, 90
Factor 4*o**3 - 144*o**2 - 4*o + 144.
4*(o - 36)*(o - 1)*(o + 1)
Suppose 2*j**5/5 + 22*j**4/5 + 88*j**3/5 + 152*j**2/5 + 96*j/5 = 0. Calculate j.
-4, -3, -2, 0
What is m in -3*m**4/4 - 9*m**3/4 - 3*m**2/2 = 0?
-2, -1, 0
Find g, given that 6*g**5/5 - 74*g**4/5 + 44*g**3 + 60*g**2 - 250*g - 250 = 0.
-5/3, -1, 5
Factor -3*u**3/5 + 9*u**2/5.
-3*u**2*(u - 3)/5
Find f such that 3*f**4 - 84*f**3 + 537*f**2 - 456*f = 0.
0, 1, 8, 19
Suppose -35*q**4 - 330*q**3 + 1005*q**2 - 880*q + 240 = 0. Calculate q.
-12, 4/7, 1
Factor 2*b**2 + 30*b - 32.
2*(b - 1)*(b + 16)
Factor r**2 - 25*r.
r*(r - 25)
Determine o, given that -2*o**5/9 - 10*o**4/9 - 10*o**3/9 + 10*o**2/9 + 4*o/3 = 0.
-3, -2, -1, 0, 1
Determine w, given that 6*w**3 - 77*w**2/10 + 9*w/10 + 4/5 = 0.
-1/4, 8/15, 1
Find a such that a**4/4 + 3*a**3 + 37*a**2/4 - 15*a/2 - 50 = 0.
-5, -4, 2
Factor -2*h**5/15 + 22*h**4/15 - 28*h**3/5 + 36*h**2/5 + 18*h/5 - 54/5.
-2*(h - 3)**4*(h + 1)/15
Factor 3*k**2 + 657*k + 654.
3*(k + 1)*(k + 218)
Suppose -3*q**4/7 - 12*q**3/7 + 66*q**2/7 + 12*q/7 - 9 = 0. What is q?
-7, -1, 1, 3
Factor -d**4 - 42*d**3 + 43*d**2.
-d**2*(d - 1)*(d + 43)
Factor 5*d**5 + 15*d**4 - 5*d**3 - 15*d**2.
5*d**2*(d - 1)*(d + 1)*(d + 3)
Solve 15*w**5 - 876*w**4 + 5028*w**3 - 1872*w**2 = 0.
0, 2/5, 6, 52
Factor -2*f**3/7 + 2*f**2 - 30*f/7 + 18/7.
-2*(f - 3)**2*(f - 1)/7
Find d, given that 2*d**5/9 - 82*d**4/9 - 2*d**3/3 + 250*d**2/9 - 164*d/9 = 0.
-2, 0, 1, 41
Let -x**4/2 - 3*x**3 + 17*x**2/2 + 3*x - 8 = 0. Calculate 