
Suppose m**3/2 + m**2/2 - 8*m + 10 = 0. What is m?
-5, 2
Suppose 508*s**2/7 + 8*s/7 = 0. What is s?
-2/127, 0
Solve 2*h**3/9 - 92*h**2/9 + 10*h = 0 for h.
0, 1, 45
Factor 3*d**3/5 + 72*d**2/5 + 267*d/5 - 306.
3*(d - 3)*(d + 10)*(d + 17)/5
Solve -4*z**5 - 108*z**4 + 148*z**3 + 972*z**2 - 1008*z = 0 for z.
-28, -3, 0, 1, 3
Factor 12*m**4 - 188*m**3 + 648*m**2 - 352*m.
4*m*(m - 11)*(m - 4)*(3*m - 2)
Find k such that k**4/2 - 67*k**3 + 390*k**2 - 772*k + 512 = 0.
2, 128
Factor 4*n**2 - 1056*n + 1052.
4*(n - 263)*(n - 1)
Let -48*r**4 + 172*r**3 - 158*r**2 + 12*r = 0. Calculate r.
0, 1/12, 3/2, 2
Solve 2*g**2/15 + 16*g/5 + 72/5 = 0 for g.
-18, -6
Suppose t**4/5 + 38*t**3/5 - 79*t**2/5 + 8*t = 0. What is t?
-40, 0, 1
Factor 2*a**2/5 - 5896*a/5 + 4345352/5.
2*(a - 1474)**2/5
Find v such that -8*v**3/15 - 2*v**2/15 = 0.
-1/4, 0
Factor -5*d**3 - 115*d**2 - 715*d - 605.
-5*(d + 1)*(d + 11)**2
Factor -p**3 - 3*p**2/2 + 9*p - 4.
-(p - 2)*(p + 4)*(2*p - 1)/2
Let 5*l**4 - 520*l**3 + 17715*l**2 - 191680*l - 209920 = 0. What is l?
-1, 32, 41
Solve -a**3 + 148*a**2 + 303*a - 450 = 0 for a.
-3, 1, 150
Find j such that j**2/5 + 397*j/5 + 396/5 = 0.
-396, -1
Factor -3*u**3 - 393*u**2 - 13317*u - 134895.
-3*(u + 23)**2*(u + 85)
Factor 4*o**3/7 - 156*o**2/7 - 96*o - 688/7.
4*(o - 43)*(o + 2)**2/7
Factor -a**4/5 + 129*a**3/5 - 4349*a**2/5 + 12159*a/5 - 7938/5.
-(a - 63)**2*(a - 2)*(a - 1)/5
Factor 2*q**2/9 - 2/9.
2*(q - 1)*(q + 1)/9
Solve 5*l**3 - 35*l**2 - 245*l + 1715 = 0.
-7, 7
Determine f, given that 132*f**2 + 4*f = 0.
-1/33, 0
Determine i so that -3*i**3/5 - 1776*i**2/5 - 269808*i/5 - 2046336/5 = 0.
-292, -8
Factor -4*f**4 - 48*f**3 + 172*f**2 - 120*f.
-4*f*(f - 2)*(f - 1)*(f + 15)
Find w, given that -w**5/2 - 2*w**4 + 29*w**3/2 - 12*w**2 = 0.
-8, 0, 1, 3
Find b such that 3*b**2 - 1614*b + 217083 = 0.
269
Suppose -4*t**5 - 264*t**4 - 500*t**3 + 784*t**2 + 1008*t - 1024 = 0. What is t?
-64, -2, 1
Factor a**4/5 + 4*a**3/5 + a**2 + 2*a/5.
a*(a + 1)**2*(a + 2)/5
Let -5*z**3 + 325*z**2 + 1730*z + 1400 = 0. What is z?
-4, -1, 70
Factor d**2 - 40*d.
d*(d - 40)
Solve 50*q**4 + 135*q**3 - 45*q**2 = 0 for q.
-3, 0, 3/10
Solve 3*l**4 - 18*l**3 + 12*l**2 + 18*l - 15 = 0 for l.
-1, 1, 5
Factor 5*t**3 - 185*t**2 + 170*t + 360.
5*(t - 36)*(t - 2)*(t + 1)
Let n**3/2 - 37*n**2/2 + 391*n/2 - 867/2 = 0. Calculate n.
3, 17
Factor -4*t**3 - 1544*t**2 - 147440*t + 301088.
-4*(t - 2)*(t + 194)**2
Factor 5*y**2 - 100*y + 375.
5*(y - 15)*(y - 5)
Factor w**2/3 + 62*w/3.
w*(w + 62)/3
Let -q**4/5 - 401*q**3/5 + q**2/5 + 401*q/5 = 0. What is q?
-401, -1, 0, 1
Determine r, given that r**5 - 41*r**4 - 90*r**3 + 170*r**2 + 89*r - 129 = 0.
-3, -1, 1, 43
Factor 2*b**3/3 + 10*b**2 + 100*b/3.
2*b*(b + 5)*(b + 10)/3
Factor 8*x**4 - 40*x**3 - 102*x**2 - 68*x - 14.
2*(x - 7)*(x + 1)*(2*x + 1)**2
Let 5*o**4 + 4760*o**3 + 9505*o**2 + 4750*o = 0. What is o?
-950, -1, 0
Find y, given that -36*y**5/7 + 141*y**4/7 - 165*y**3/7 + 45*y**2/7 + 3*y - 6/7 = 0.
-1/3, 1/4, 1, 2
Factor -2*w**4/15 - 88*w**3/15 - 968*w**2/15.
-2*w**2*(w + 22)**2/15
Solve -r**4 - 11*r**3 + 42*r**2 - 4*r - 56 = 0.
-14, -1, 2
Suppose -4*v**2 - 76*v + 864 = 0. What is v?
-27, 8
Solve 3*j**3/4 + 23*j**2/4 - 35*j/4 + 9/4 = 0 for j.
-9, 1/3, 1
Determine a so that 2*a**2/9 - 244*a/9 + 7442/9 = 0.
61
Let u**4/4 + u**3/2 - u/2 - 1/4 = 0. Calculate u.
-1, 1
Factor -3*z**4 + 27*z**2.
-3*z**2*(z - 3)*(z + 3)
Factor 2*h**2/7 + 72*h/7 + 10.
2*(h + 1)*(h + 35)/7
Solve u**2 - 21*u = 0 for u.
0, 21
Determine s so that -3*s**4 - 9*s**3 + 12*s = 0.
-2, 0, 1
Solve 16*s**2 - 2688*s + 671 = 0 for s.
1/4, 671/4
Solve 6*j**4 - 40*j**3 - 30*j**2 + 120*j - 56 = 0.
-2, 2/3, 1, 7
Find a, given that -2*a**3/9 + 8*a**2 + 26*a = 0.
-3, 0, 39
Find b such that -6*b**5/5 + 30*b**4 - 1086*b**3/5 + 1338*b**2/5 + 5412*b/5 - 5808/5 = 0.
-2, 1, 4, 11
Suppose u**4/4 + 15*u**3/4 + 13*u**2/2 = 0. Calculate u.
-13, -2, 0
Suppose c**3/8 + 3*c**2/4 - 15*c/8 + 1 = 0. What is c?
-8, 1
Factor -3*m**2/2 + 231*m/2 - 225.
-3*(m - 75)*(m - 2)/2
Factor -285*s**2 + 6537*s + 414.
-3*(s - 23)*(95*s + 6)
Let m**3 - 9*m**2 + 14*m = 0. What is m?
0, 2, 7
Factor 4*i**3/5 - 124*i**2/5 - 1984*i/5 - 688.
4*(i - 43)*(i + 2)*(i + 10)/5
Determine b, given that -2*b**4 + 4*b**2 - 2 = 0.
-1, 1
Solve -2*z**2/9 + 2590*z/9 = 0.
0, 1295
Factor -16*a**3 + 60*a**2 + 736*a + 180.
-4*(a - 9)*(a + 5)*(4*a + 1)
Factor -4*s**2 - 15496*s - 15007876.
-4*(s + 1937)**2
Let 3*j**4/2 - 12*j**2 + 24 = 0. What is j?
-2, 2
Determine w so that 2*w**2 + 20*w - 288 = 0.
-18, 8
Factor -2*k**2 + 14*k + 588.
-2*(k - 21)*(k + 14)
Let -4*f**2/5 + 24*f/5 = 0. What is f?
0, 6
Factor -14*h**2 - 14088*h - 4024.
-2*(h + 1006)*(7*h + 2)
Solve -5*p**2/2 - 10150*p - 10302250 = 0.
-2030
Factor 5*t**3 - 50*t**2 + 45*t.
5*t*(t - 9)*(t - 1)
Find w such that w**3/5 + 138*w**2/5 + 4761*w/5 = 0.
-69, 0
What is k in 6*k**3/7 + 10*k**2 + 44*k/7 = 0?
-11, -2/3, 0
Factor -2*d**2/7 - 116*d/7 - 1682/7.
-2*(d + 29)**2/7
Factor -4*a**2/3 - 40232*a/3 - 101163364/3.
-4*(a + 5029)**2/3
Determine y, given that y**4 + 13*y**3 - 14*y**2 = 0.
-14, 0, 1
Solve 3*d**4/5 + 39*d**3/5 + 18*d**2 - 12*d/5 - 24 = 0 for d.
-10, -2, 1
Factor -2*m**3/5 - 298*m**2/5 - 2190*m + 2250.
-2*(m - 1)*(m + 75)**2/5
Factor 5*r**2 + 45*r - 110.
5*(r - 2)*(r + 11)
Factor g**2/6 - 35*g/6 - 6.
(g - 36)*(g + 1)/6
Let 4*s**4 - 328*s**3 - 336*s**2 + 328*s + 332 = 0. Calculate s.
-1, 1, 83
Factor -2*k**5/7 + 2228*k**4/7 + 6696*k**3/7 + 6700*k**2/7 + 2234*k/7.
-2*k*(k - 1117)*(k + 1)**3/7
Find s such that -2*s**5 + 4*s**4 + 66*s**3 + 44*s**2 - 112*s = 0.
-4, -2, 0, 1, 7
Factor -2*u**2/7 - 246*u/7 - 484/7.
-2*(u + 2)*(u + 121)/7
Factor -i**4 + 60*i**3 - 838*i**2 - 1860*i - 961.
-(i - 31)**2*(i + 1)**2
Let -11*a**5/7 - 3001*a**4/7 - 2435*a**3/7 + 3545*a**2/7 + 2446*a/7 - 544/7 = 0. Calculate a.
-272, -1, 2/11, 1
Suppose -7*d**5/6 - 45*d**4 - 401*d**3/6 + 37*d**2 = 0. Calculate d.
-37, -2, 0, 3/7
Factor 3*g**5 + 19*g**4 + 47*g**3 + 57*g**2 + 34*g + 8.
(g + 1)**3*(g + 2)*(3*g + 4)
Let -115*h**4/3 - 725*h**3 - 6710*h**2/3 + 200*h = 0. Calculate h.
-15, -4, 0, 2/23
Find k such that 2*k**2/15 - 164*k/5 + 10086/5 = 0.
123
Factor -d**3/4 - 31*d**2/4 + 33*d/2.
-d*(d - 2)*(d + 33)/4
Determine v, given that 2*v**4/3 + 1282*v**3/3 - 1288*v**2/3 - 856*v = 0.
-642, -1, 0, 2
Let 4*b**2 - 3520*b + 774400 = 0. What is b?
440
Factor 26*t**2 - 100*t - 16.
2*(t - 4)*(13*t + 2)
Determine a so that 4*a**2 - 72*a = 0.
0, 18
Factor 2*u**5/7 + 100*u**4/7 + 1346*u**3/7 + 2400*u**2/7 + 1152*u/7.
2*u*(u + 1)**2*(u + 24)**2/7
Factor -5*y**4 - 1270*y**3 - 80645*y**2.
-5*y**2*(y + 127)**2
Determine l so that -2*l**5/11 - 30*l**4/11 - 126*l**3/11 + 54*l**2/11 + 1296*l/11 + 1944/11 = 0.
-6, -3, 3
Let 2*s**2/7 - 3956*s/7 + 1956242/7 = 0. What is s?
989
Factor -m**3/3 + 2*m**2/3 + 5*m.
-m*(m - 5)*(m + 3)/3
Solve 2*n**4/5 - 10*n**3 + 26*n**2 + 10*n - 132/5 = 0.
-1, 1, 3, 22
Factor 2*a**3/13 - 32*a**2/13 - 2*a/13 + 32/13.
2*(a - 16)*(a - 1)*(a + 1)/13
Factor -2*d**4 - 30*d**3 - 54*d**2 - 26*d.
-2*d*(d + 1)**2*(d + 13)
What is w in -14*w**5/5 + 192*w**4/5 - 126*w**3 - 196*w**2/5 = 0?
-2/7, 0, 7
Factor n**5 - 132*n**4 + 3492*n**3 + 57024*n**2 + 186624*n.
n*(n - 72)**2*(n + 6)**2
Factor -3*s**2 + 1416*s - 167088.
-3*(s - 236)**2
Let -m**5/2 + 34*m**4 + 285*m**3/2 + 108*m**2 = 0. What is m?
-3, -1, 0, 72
Factor -a**4/4 - 35*a**3/4 + 93*a**2 - 260*a + 176.
-(a - 4)**2*(a - 1)*(a + 44)/4
Factor 4*z**3 + 16*z**2.
4*z**2*(z + 4)
Factor -5*t**2/2 - 720*t - 51840.
-5*(t + 144)**2/2
Find l, given that 7*l**5/4 - 24*l**4 + 63*l**3/4 + 13*l**2/2 = 0.
-2/7, 0, 1, 13
Let -5*w**4 - 10*w**3 + 15*w**2 + 40*w + 20 = 0. What is w?
-2, -1, 2
What is o in 128*o**5/9 - 1376*o**4/9 + 4562*o**3/9 - 660*o**2 + 312*o - 48 = 0?
3/8, 2, 6
Factor 7*v**2 - 457*v + 130.
(v - 65)*(7*v - 2)
Factor -h**3 + 3*h**2 + h - 3.
-(h - 3)*(h - 1)*(h + 1)
Factor -2*i**3/11 - 92*i**2/11 - 104*i - 176.
-2*(i + 2)*(i + 22)**2/11
Let -u**5/6 + 3*u**4/2 + 11*u**3/3 + u**2/3 - 7*u/2 - 11/6 = 0. Calculate u.
-1, 1, 11
Determine n so that 39*n**2/8 + 5505*n/8 + 423/4 = 0.
-141, -2/13
What is a in -5*a**3/3 - 53*a**2/3 + 422*a/3 - 160/3 = 0?
-16, 2/5, 5
Factor a**4/3 + 10*a**3 + 325*a**2/3 + 500*a + 2500/3.
(a + 5)**2*(a + 10)**2/3
Solve 3*v**5 + 30*v**4 + 33*v**3 - 246