664*f/5 + 20047112/5 = 0. What is f?
-3166
Factor 3*d**2/4 + 3303*d + 3636603.
3*(d + 2202)**2/4
Solve 2*v**4/7 - 8*v**2/7 = 0 for v.
-2, 0, 2
What is o in o**5/2 + 5*o**4/2 + 5*o**3/2 - 5*o**2/2 - 3*o = 0?
-3, -2, -1, 0, 1
Suppose o**5/2 - 5*o**4/2 - 13*o**3/2 + 125*o**2/2 - 132*o + 90 = 0. Calculate o.
-5, 2, 3
Determine c so that -2*c**2 - 62*c - 60 = 0.
-30, -1
Factor -2*b**2/5 - 8*b/5.
-2*b*(b + 4)/5
Factor 4*z**3 - 28*z**2 - 4*z + 28.
4*(z - 7)*(z - 1)*(z + 1)
Determine v so that v**5/8 + 35*v**4/8 + 97*v**3/8 + 29*v**2/8 - 49*v/4 - 8 = 0.
-32, -2, -1, 1
Determine x, given that 3*x**3 - 93*x**2 + 336*x - 324 = 0.
2, 27
Suppose -n**5/6 + 11*n**4/2 - 31*n**3/6 - 11*n**2/2 + 16*n/3 = 0. Calculate n.
-1, 0, 1, 32
Factor -5*b**2/2 + 1275*b.
-5*b*(b - 510)/2
Determine n, given that -2*n**5/7 + 26*n**3/7 - 32*n**2/7 - 24*n/7 + 32/7 = 0.
-4, -1, 1, 2
Factor -2*l**3/7 - 30*l**2/7 - 64*l/7 + 96/7.
-2*(l - 1)*(l + 4)*(l + 12)/7
Factor -2*c**2/15 - 16*c/5 - 88/15.
-2*(c + 2)*(c + 22)/15
Suppose -2*a**3/5 - 14*a**2/5 + 16*a/5 = 0. What is a?
-8, 0, 1
Suppose -2*y**2/19 - 14*y/19 - 12/19 = 0. Calculate y.
-6, -1
Factor 18*n**3 - 40*n**2 - 46*n + 12.
2*(n - 3)*(n + 1)*(9*n - 2)
Factor b**3 - 2761*b**2 + 1909915*b - 5704923.
(b - 1379)**2*(b - 3)
Solve 6*s**3 - 2006*s**2 + 668*s = 0 for s.
0, 1/3, 334
Solve -2*c**3 + 102*c**2 - 1248*c - 1352 = 0.
-1, 26
Determine l, given that 4*l**4 + 3376*l**3 + 10104*l**2 + 10096*l + 3364 = 0.
-841, -1
Factor -1144*l**3 - 1160*l**2 - 302*l - 4.
-2*(2*l + 1)**2*(143*l + 2)
Factor -5*u**5 + 15*u**4 - 20*u**2.
-5*u**2*(u - 2)**2*(u + 1)
Factor 2*m**3/9 + 124*m**2/9 - 1754*m/9 + 1628/9.
2*(m - 11)*(m - 1)*(m + 74)/9
Factor -4*z**4 + 840*z**3 - 44932*z**2 + 87360*z - 43264.
-4*(z - 104)**2*(z - 1)**2
Let x**5/5 - x**4/5 - 11*x**3/5 + 29*x**2/5 - 26*x/5 + 8/5 = 0. What is x?
-4, 1, 2
Factor -z**2/3 - 560*z/9 - 124/3.
-(z + 186)*(3*z + 2)/9
Factor -g**2 - 2108*g - 1110916.
-(g + 1054)**2
Let -u**5 + 16*u**4 - 63*u**3 + 92*u**2 - 44*u = 0. What is u?
0, 1, 2, 11
Suppose 2*b**5 + 78*b**4 + 150*b**3 + 74*b**2 = 0. Calculate b.
-37, -1, 0
Let 38*u**3 - 1600*u**2 + 168*u = 0. What is u?
0, 2/19, 42
Factor 3*b**3 - 3486*b**2 + 1009188*b + 2032344.
3*(b - 582)**2*(b + 2)
Factor 5*q**3 + 40*q**2 + 35*q.
5*q*(q + 1)*(q + 7)
Determine f, given that f**2 + 14*f + 13 = 0.
-13, -1
Factor -5*w**5 + 30*w**4 - 65*w**3 + 60*w**2 - 20*w.
-5*w*(w - 2)**2*(w - 1)**2
Factor p**2/5 - 2*p/5 + 1/5.
(p - 1)**2/5
Factor u**2/4 - 3*u/4 + 1/2.
(u - 2)*(u - 1)/4
Factor -3*r**4/7 - 96*r**3/7 + 306*r**2/7 - 312*r/7 + 15.
-3*(r - 1)**3*(r + 35)/7
Find m, given that -m**4/11 + 42*m**3/11 + 8*m**2 = 0.
-2, 0, 44
Factor -2*y**2/7 - 2228*y/7 - 620498/7.
-2*(y + 557)**2/7
What is z in -3*z**5/5 - 102*z**4/5 - 378*z**3/5 - 552*z**2/5 - 363*z/5 - 18 = 0?
-30, -1
Solve -n**4/5 + 25*n**3/2 - 42*n**2 + 83*n/2 - 59/5 = 0.
1/2, 1, 2, 59
Factor -4*w**5/3 + 136*w**4/3 - 496*w**3/3 + 160*w**2.
-4*w**2*(w - 30)*(w - 2)**2/3
Factor -2*h**5 - 742*h**4 - 90758*h**3 - 3534250*h**2 + 15250000*h - 15625000.
-2*(h - 2)**2*(h + 125)**3
Determine t so that -3*t**4 - 216*t**3 - 627*t**2 - 414*t = 0.
-69, -2, -1, 0
Suppose -w**5/2 - 15*w**4/2 + 5*w**3/2 + 75*w**2/2 - 2*w - 30 = 0. What is w?
-15, -2, -1, 1, 2
Factor 2*o**2/7 + 460*o/7 + 1808/7.
2*(o + 4)*(o + 226)/7
Factor -2*l**4 + 8*l**2.
-2*l**2*(l - 2)*(l + 2)
Factor 5*s**2/2 - 4615*s/2.
5*s*(s - 923)/2
Factor -g**4/3 + 148*g**3/3 - 2450*g**2 + 124852*g/3 - 117649/3.
-(g - 49)**3*(g - 1)/3
Find t such that -5*t**3 - 15*t**2 - 10*t = 0.
-2, -1, 0
Factor -5*h**2/6 - 25*h/2 - 45.
-5*(h + 6)*(h + 9)/6
Solve 9*r**5 + 48*r**4 + 72*r**3 - 48*r = 0.
-2, 0, 2/3
Find r such that 8*r**2/9 + 2*r/9 - 10/9 = 0.
-5/4, 1
Let 1398*i**2/5 + 184*i - 8/5 = 0. What is i?
-2/3, 2/233
Determine p, given that -5*p**3 + 100*p**2 + 115*p - 210 = 0.
-2, 1, 21
Factor 2*f**2 + 8382*f - 8384.
2*(f - 1)*(f + 4192)
Solve -3*k**2 + 262*k - 87 = 0 for k.
1/3, 87
Factor -3*o**3 - 8163*o**2 - 16317*o - 8157.
-3*(o + 1)**2*(o + 2719)
Factor -7*y**2/3 + 1654*y/3 - 472/3.
-(y - 236)*(7*y - 2)/3
Factor 10*j**3 + 4*j**2/3 - 16*j.
2*j*(3*j + 4)*(5*j - 6)/3
Factor 3*d**4/7 + 48*d**3/7 + 264*d**2/7 + 576*d/7 + 432/7.
3*(d + 2)**2*(d + 6)**2/7
Find z such that 3*z**4 - 30*z**3 + 63*z**2 + 120*z - 300 = 0.
-2, 2, 5
Find d such that 2*d**4/11 - 6*d**3/11 - 10*d**2/11 + 6*d/11 + 8/11 = 0.
-1, 1, 4
What is b in 14*b**4/3 + 20*b**3 + 86*b**2/3 + 16*b + 8/3 = 0?
-2, -1, -2/7
Find x, given that -2*x**3/5 + 84*x**2/5 - 144*x = 0.
0, 12, 30
Let 5*w**5 - 5*w**4 - 165*w**3 + 205*w**2 + 1160*w - 1200 = 0. Calculate w.
-5, -3, 1, 4
Solve -2*w**3/11 + 268*w**2/11 - 262*w/11 - 532/11 = 0.
-1, 2, 133
Let -p**4 - 2*p**3 + 4*p**2 + 2*p - 3 = 0. What is p?
-3, -1, 1
Find s, given that 4*s**5 + 1356*s**4 + 112872*s**3 - 346792*s**2 + 349524*s - 116964 = 0.
-171, 1
Factor 3*t**3 - 99*t**2 + 648*t + 2916.
3*(t - 18)**2*(t + 3)
Solve -q**2/2 + 195*q/2 - 1978 = 0.
23, 172
What is c in 2*c**2/17 + 2*c = 0?
-17, 0
Suppose -4*d**3/5 + 37*d**2/5 + 31*d/5 - 2 = 0. Calculate d.
-1, 1/4, 10
Factor 10*y**3/9 - 152*y**2/3 + 266*y/9 + 20.
2*(y - 45)*(y - 1)*(5*y + 2)/9
Suppose -1110050*l**2/11 - 8940*l/11 - 18/11 = 0. What is l?
-3/745
What is t in 2*t**2 + 636*t + 50562 = 0?
-159
Find r such that 2*r**2/3 + 22*r/3 + 12 = 0.
-9, -2
Factor 4*d**3/5 - 424*d**2/5 + 11236*d/5.
4*d*(d - 53)**2/5
Factor -81*x**5/7 - 207*x**4/7 + 104*x**3/7 - 12*x**2/7.
-x**2*(x + 3)*(9*x - 2)**2/7
Find k, given that -k**2/6 + k + 55/6 = 0.
-5, 11
Factor -a**3/2 - 229*a**2 - 53345*a/2 - 103058.
-(a + 4)*(a + 227)**2/2
Find r such that -r**2/9 - 46*r/3 = 0.
-138, 0
Suppose -2*z**3/9 - 28*z**2/9 - 32*z/3 = 0. Calculate z.
-8, -6, 0
Factor 6*v**4 + 83*v**3 + 280*v**2 - 49*v.
v*(v + 7)**2*(6*v - 1)
Factor 2*s**4/17 - 184*s**3/17 + 5760*s**2/17 - 64800*s/17 + 108000/17.
2*(s - 30)**3*(s - 2)/17
Find u such that 2*u**5/15 + 4*u**4/15 = 0.
-2, 0
Factor -32*a**2/3 + 16*a - 6.
-2*(4*a - 3)**2/3
Factor n**4/6 - 3*n**3 + 15*n**2/2 + 2*n/3 - 10.
(n - 15)*(n - 2)**2*(n + 1)/6
Let -4232*r**3 - 3404*r**2 - 1369*r/2 = 0. Calculate r.
-37/92, 0
Determine y, given that 2*y**3/5 + 8*y**2/5 - 64*y/5 = 0.
-8, 0, 4
Find l, given that -l**2 + 474*l - 4185 = 0.
9, 465
Find k, given that -4*k**3 - 204*k**2 - 752*k = 0.
-47, -4, 0
Factor q**3/6 + 7*q**2/6 + q.
q*(q + 1)*(q + 6)/6
Solve 4*f**5 + 44*f**4 + 144*f**3 + 64*f**2 - 256*f = 0 for f.
-4, 0, 1
Suppose -6*t**3 - 69*t**2 - 126*t + 81 = 0. Calculate t.
-9, -3, 1/2
Factor -2*g**2/7 + 366*g - 5116/7.
-2*(g - 1279)*(g - 2)/7
Factor 3*d**5 - 117*d**4 + 954*d**3 + 3594*d**2 + 3843*d + 1323.
3*(d - 21)**2*(d + 1)**3
Determine p so that -p**3 - 26*p**2 - 25*p = 0.
-25, -1, 0
Find l, given that 2*l**5 - 12*l**4 + 22*l**3 - 4*l**2 - 24*l + 16 = 0.
-1, 1, 2
Factor -q**2 + 32*q - 247.
-(q - 19)*(q - 13)
Factor -3*n**2/8 - 183*n/2 - 11163/2.
-3*(n + 122)**2/8
Factor 2*k**4/7 + 10*k**3/7 - 128*k**2/7 - 568*k/7 - 576/7.
2*(k - 8)*(k + 2)**2*(k + 9)/7
Determine g so that 4*g**2 + 676*g + 1336 = 0.
-167, -2
Factor 4*k**4 + 36*k**3 + 36*k**2 - 196*k + 120.
4*(k - 1)**2*(k + 5)*(k + 6)
Factor 2*s**2 + 906*s - 908.
2*(s - 1)*(s + 454)
What is y in -3*y**3 + 126*y**2 - 567*y + 444 = 0?
1, 4, 37
Determine i so that -5*i**5/2 - 35*i**4 + 5*i**3/2 + 35*i**2 = 0.
-14, -1, 0, 1
Suppose -2*c**3/3 + 80*c**2/3 + 82*c/3 = 0. Calculate c.
-1, 0, 41
Find i, given that -4*i**5 - 56*i**4 - 292*i**3 - 688*i**2 - 704*i - 256 = 0.
-4, -1
Solve 5*h**5 - 15*h**4 - 170*h**3 + 190*h**2 + 165*h - 175 = 0.
-5, -1, 1, 7
Factor 8*c**5 + 106*c**4 + 506*c**3 + 1016*c**2 + 736*c + 128.
2*(c + 1)*(c + 4)**3*(4*c + 1)
Suppose 6*g**4 + 53*g**3 - 146*g**2 - 23*g + 110 = 0. Calculate g.
-11, -5/6, 1, 2
Suppose 4*t**2 + 16*t + 16 = 0. What is t?
-2
Let -140*q**4 + 1265*q**3 - 3825*q**2 + 3915*q - 135 = 0. What is q?
1/28, 3
Solve -s**5/6 + 2*s**4 - 35*s**3/6 + 10*s**2/3 + 6*s - 16/3 = 0.
-1, 1, 2, 8
Suppose i**5 - 9*i**4 + 30*i**3 - 44*i**2 + 24*i = 0. What is i?
0, 2, 3
Factor -2*c**4/5 - 18*c**3/5 + 44*c**2/5.
-2*c**2*(c - 2)*(c + 11)/5
Factor z**2 - 19*z + 18.
(z - 18)*(z - 1)
Suppose 5*j**3 - 250*j**2 + 640*j + 71680 = 0. What is j?
-14, 32
Determine w so that -8*w**5/15 - 262*w**4/15 - 186*w**3 - 9998*w**2/15 - 5434*w/15 + 676/5 = 0.
-13, -6,