 - 19*f**2 + 35*f/3 + 98.
-(f - 2)*(f + 3)*(f + 7)**2/3
Find u, given that -u**4 + 2*u**3 + u**2 - 2*u = 0.
-1, 0, 1, 2
What is x in 3*x**4/5 - 837*x**3/5 - 171*x**2 + 4209*x/5 - 504 = 0?
-3, 1, 280
Factor -4*p**2 + 276*p - 272.
-4*(p - 68)*(p - 1)
Factor -5*i**2 - 90*i - 85.
-5*(i + 1)*(i + 17)
Factor -d**5/3 + 194*d**4/3 + 262*d**3 + 1184*d**2/3 + 791*d/3 + 66.
-(d - 198)*(d + 1)**4/3
Find n, given that -2*n**4/9 - 2*n**3 - 56*n**2/9 - 8*n - 32/9 = 0.
-4, -2, -1
Factor -5*x**3 - 745*x**2 - 32495*x - 336675.
-5*(x + 15)*(x + 67)**2
Factor 2*m**2 - 4116*m + 4114.
2*(m - 2057)*(m - 1)
Factor 4*n**5 + 60*n**4 + 284*n**3 + 516*n**2 + 288*n.
4*n*(n + 1)*(n + 3)**2*(n + 8)
Factor 33*y**4 - 324*y**3 - 60*y**2.
3*y**2*(y - 10)*(11*y + 2)
Factor 38*g**2 + 1068*g/7 + 16/7.
2*(g + 4)*(133*g + 2)/7
Factor 4*v**2 + 112*v + 784.
4*(v + 14)**2
Factor 2*p**2/9 + 386*p/9 - 260/3.
2*(p - 2)*(p + 195)/9
Factor d**2/3 - 5*d + 44/3.
(d - 11)*(d - 4)/3
Factor -5*f**2 + 375*f - 730.
-5*(f - 73)*(f - 2)
Factor -4*k**2 + 11744*k.
-4*k*(k - 2936)
Factor -12*w**5/7 + 3*w**4 - 6*w**3/7 - 3*w**2/7.
-3*w**2*(w - 1)**2*(4*w + 1)/7
Determine y, given that 2*y**3/11 - 168*y**2/11 + 798*y/11 - 632/11 = 0.
1, 4, 79
Find c such that -4*c**4 - 200*c**3 + 416*c**2 = 0.
-52, 0, 2
Factor 2*u**3/5 - 38*u**2/5 - 84*u/5.
2*u*(u - 21)*(u + 2)/5
Solve 2*z**4/3 + 4*z**3 + 8*z**2/3 - 4*z - 10/3 = 0.
-5, -1, 1
Determine n, given that -5*n**2 + 21260*n - 22599380 = 0.
2126
What is s in s**3/5 + s**2/5 - 2*s/5 = 0?
-2, 0, 1
What is b in 10*b**4/21 + 16*b**3/21 - 6*b**2/7 - 16*b/21 + 8/21 = 0?
-2, -1, 2/5, 1
What is v in 5*v**2 - 890*v - 895 = 0?
-1, 179
Suppose s**5/4 - 109*s**4/2 + 5939*s**3/2 + 164*s**2 - 36079*s/4 + 11881/2 = 0. What is s?
-2, 1, 109
Find q such that 4*q**3/5 - q**2 = 0.
0, 5/4
Suppose 2*u**3/9 - 256*u**2/9 + 506*u/9 - 28 = 0. What is u?
1, 126
Find r such that r**5/3 + 14*r**4/3 + 19*r**3 + 12*r**2 - 36*r = 0.
-6, -3, 0, 1
Determine p, given that p**3/2 - 31*p**2 + 173*p/2 + 118 = 0.
-1, 4, 59
Let -3*w**4 + 36*w**3 - 156*w**2 + 288*w - 192 = 0. What is w?
2, 4
Determine h so that 3*h**3 + 10275*h**2 - 20559*h + 10281 = 0.
-3427, 1
Factor 2*u**4 - 54*u**2 - 108*u.
2*u*(u - 6)*(u + 3)**2
Find z such that 2*z**5/11 + 160*z**4/11 + 4370*z**3/11 + 43420*z**2/11 + 6760*z + 35152/11 = 0.
-26, -1
Factor -4*z**3/9 + 38*z**2/9 - 76*z/9 - 16/3.
-2*(z - 6)*(z - 4)*(2*z + 1)/9
Determine y so that 2*y**5/3 + 26*y**4/3 - 2*y**3/3 - 26*y**2/3 = 0.
-13, -1, 0, 1
Factor 4*o**4 + 80*o**3 + 528*o**2 + 1280*o + 1024.
4*(o + 2)**2*(o + 8)**2
Factor -3*n**2 + 381*n.
-3*n*(n - 127)
Solve 4*n**3 + 48*n**2 - 60*n - 104 = 0 for n.
-13, -1, 2
What is t in 32*t**2 + 180*t = 0?
-45/8, 0
Suppose -2*n**3/7 - 24*n**2/7 + 8*n/7 + 96/7 = 0. Calculate n.
-12, -2, 2
Let -2*l**3/15 + 868*l**2/15 - 346*l/3 + 288/5 = 0. Calculate l.
1, 432
Factor -502544*x**3 + 286972*x**2 - 40912*x - 16.
-4*(7*x - 2)**2*(2564*x + 1)
Find r such that 6*r**2/11 + 168*r/11 + 882/11 = 0.
-21, -7
Find s, given that -2*s**4/7 - 148*s**3/7 - 3336*s**2/7 - 27180*s/7 - 55350/7 = 0.
-41, -15, -3
Solve 147*j**5 + 3843*j**4/2 + 7236*j**3 + 6324*j**2 + 2016*j + 216 = 0.
-6, -1/2, -2/7
Factor -r**2/4 + 139*r/4 - 69/2.
-(r - 138)*(r - 1)/4
Factor y**2/2 + 378*y - 757/2.
(y - 1)*(y + 757)/2
Suppose n**2/5 + 53*n/5 + 546/5 = 0. Calculate n.
-39, -14
Find y such that y**2/6 + 5*y/6 + 1 = 0.
-3, -2
Factor 3*d**4/2 + 189*d**3 + 11907*d**2/2.
3*d**2*(d + 63)**2/2
Factor -2*q**3 + 32*q**2 + 8*q - 128.
-2*(q - 16)*(q - 2)*(q + 2)
Solve 2*q**3/5 - 534*q**2/5 + 47526*q/5 - 1409938/5 = 0.
89
Factor k**5/2 - 554*k**4 + 230187*k**3 - 42507866*k**2 + 5887339441*k/2.
k*(k - 277)**4/2
Determine u so that 5*u**4 + 1225*u**3 - 5*u**2 - 1225*u = 0.
-245, -1, 0, 1
Find s, given that s**5/8 + 2*s**4 - 5*s**3 - 35*s**2/4 + 39*s/8 + 27/4 = 0.
-18, -1, 1, 3
Factor l**4 + 14*l**3 + 69*l**2 + 140*l + 100.
(l + 2)**2*(l + 5)**2
Determine b, given that 4*b**2 - 152*b - 156 = 0.
-1, 39
Let -4913*h**4/3 - 7514*h**3/3 - 1020*h**2 - 162*h - 9 = 0. Calculate h.
-1, -3/17
Let -2*o**3/11 + 78*o**2/11 + 2*o/11 - 78/11 = 0. Calculate o.
-1, 1, 39
Find x, given that -21*x**2/4 + 159*x/4 + 18 = 0.
-3/7, 8
Factor 20*u**2 + 35*u - 10.
5*(u + 2)*(4*u - 1)
Determine b, given that -25*b**5 + 6760*b**4 - 9425*b**3 + 2690*b**2 = 0.
0, 2/5, 1, 269
Suppose -5*q**4 + 30*q**3 + 480*q**2 + 1120*q = 0. What is q?
-4, 0, 14
Determine j so that j**2/10 + 87*j/5 + 7569/10 = 0.
-87
Determine n so that -2*n**2 - 144*n - 2592 = 0.
-36
Factor 5*o**2 + 30820*o + 47493620.
5*(o + 3082)**2
Factor -2*i**2/3 + 13*i/3 - 5.
-(i - 5)*(2*i - 3)/3
Factor -4*t**3 + 108*t**2 - 636*t + 532.
-4*(t - 19)*(t - 7)*(t - 1)
Factor 5*y**3 - 410*y**2 + 805*y - 400.
5*(y - 80)*(y - 1)**2
Suppose 195*y**5 - 205*y**4 - 380*y**3 + 20*y**2 = 0. What is y?
-1, 0, 2/39, 2
Factor 78*t**2 - 165*t + 18.
3*(t - 2)*(26*t - 3)
Determine n, given that -5*n**3 + 45*n**2 - 75*n + 35 = 0.
1, 7
Find p such that -52*p**3 + 1776*p**2 - 15300*p + 2312 = 0.
2/13, 17
Factor 4*f**2 + 4*f - 48.
4*(f - 3)*(f + 4)
Factor k**4/6 + 5*k**3/3 - 2*k**2/3 - 20*k/3.
k*(k - 2)*(k + 2)*(k + 10)/6
Solve -5*o**2 + 110*o - 200 = 0.
2, 20
Solve -3*b**3 - 368*b**2 - 11407*b - 7442 = 0.
-61, -2/3
Factor n**5 - 5*n**4 + 8*n**3 - 4*n**2.
n**2*(n - 2)**2*(n - 1)
Factor -5*z**4 - 35*z**3 - 40*z**2 + 80*z.
-5*z*(z - 1)*(z + 4)**2
Find c, given that -12*c**5 + 92*c**4 + 1600*c**3 + 5040*c**2 + 2432*c - 4352 = 0.
-4, -2, 2/3, 17
Factor -3*d**4/4 - 3*d**3 - 9*d**2/4.
-3*d**2*(d + 1)*(d + 3)/4
Solve -8*z**3 + 54*z**2 + 158*z + 36 = 0 for z.
-2, -1/4, 9
Let -c**3/4 + 130*c**2 - 67077*c/4 - 68121/2 = 0. What is c?
-2, 261
What is h in 6*h**3/5 + 174*h**2/5 + 114*h - 150 = 0?
-25, -5, 1
Factor 3*f**2 - 348*f + 8892.
3*(f - 78)*(f - 38)
Factor -2*q**2/9 - 6716*q/9 - 5638082/9.
-2*(q + 1679)**2/9
Factor 4*f**3/7 + 48*f**2/7 - 52*f/7.
4*f*(f - 1)*(f + 13)/7
Factor -5*b**3 + 420*b**2 - 8820*b.
-5*b*(b - 42)**2
Solve 44*w**2 + 112*w + 48 = 0 for w.
-2, -6/11
Factor 10*d**4 + 55*d**3 + 60*d**2 - 45*d.
5*d*(d + 3)**2*(2*d - 1)
Suppose -12*r**4/7 + 39*r**3/7 + 21*r**2 - 219*r/7 + 45/7 = 0. What is r?
-3, 1/4, 1, 5
Factor 4*s**3/7 - 20*s**2/7 + 8*s/7 + 32/7.
4*(s - 4)*(s - 2)*(s + 1)/7
Let x**2/6 - 2*x - 135/2 = 0. Calculate x.
-15, 27
Determine k so that 2*k**3 - 70*k**2 - 8*k + 280 = 0.
-2, 2, 35
Factor -6*r**3 - 9087*r**2 - 3442836*r - 1719147.
-3*(r + 757)**2*(2*r + 1)
Find v, given that 2*v**3/7 + 38*v**2/7 + 216*v/7 + 360/7 = 0.
-10, -6, -3
Factor 2*x**4 + 86*x**3/5 - 36*x**2/5.
2*x**2*(x + 9)*(5*x - 2)/5
Factor 3*j**3 + 21*j**2 + 18*j.
3*j*(j + 1)*(j + 6)
Solve -2*z**4/5 + 218*z**3/5 - 84*z**2 - 872*z/5 + 1712/5 = 0.
-2, 2, 107
Factor 245*k**4 - 37100*k**3 + 1393860*k**2 + 805600*k + 115520.
5*(k - 76)**2*(7*k + 2)**2
Factor 2*o**3 - 1182*o**2 + 178704*o - 1193696.
2*(o - 292)**2*(o - 7)
What is q in 3*q**2 + 240*q - 243 = 0?
-81, 1
Let -26896*f**2 + 656*f - 4 = 0. Calculate f.
1/82
Let 96*g**3 + 1737*g**2 + 7938*g + 729 = 0. What is g?
-9, -3/32
Let -f**5/7 - 174*f**4/7 + 101*f**3 - 888*f**2/7 + 356*f/7 = 0. What is f?
-178, 0, 1, 2
Let -2*n**3 + 68*n**2 - 62*n - 132 = 0. What is n?
-1, 2, 33
Factor 5*o**2 + 120*o + 220.
5*(o + 2)*(o + 22)
Find a such that 2*a**4/3 - 2*a**3 - 10*a**2/3 + 2*a + 8/3 = 0.
-1, 1, 4
Factor 2*c**2/17 - 112*c/17 + 1568/17.
2*(c - 28)**2/17
Factor -2*i**5 + 1508*i**4 - 4512*i**3 + 4508*i**2 - 1502*i.
-2*i*(i - 751)*(i - 1)**3
Factor 2*k**4/23 - 44*k**3/23 + 2*k**2/23 + 2640*k/23 + 7200/23.
2*(k - 15)**2*(k + 4)**2/23
Determine k, given that -5*k**3/2 + 10*k = 0.
-2, 0, 2
Factor -z**4/2 - 6*z**3 - 25*z**2 - 42*z - 45/2.
-(z + 1)*(z + 3)**2*(z + 5)/2
Solve -2*l**2 - 604*l - 45602 = 0.
-151
Find c, given that -7688*c**5/7 - 7440*c**4/7 + 15622*c**3/7 - 498*c**2/7 + 4*c/7 = 0.
-2, 0, 1/62, 1
What is j in 4*j**4 - 25*j**3 - 54*j**2 + 415*j - 100 = 0?
-4, 1/4, 5
Let 2*q**4 + 344*q**3 - 694*q**2 + 348*q = 0. What is q?
-174, 0, 1
Suppose 2*b**3 + 84*b**2 + 162*b + 80 = 0. Calculate b.
-40, -1
Solve -5*q**5 - 430*q**4 + 15*q**3 + 1280*q**2 - 860*q = 0.
-86, -2, 0, 1
Determine m so that 2*m**4/5 + 8*m**3/5 + 8*m**2/5 = 0.
-2, 0
Determine a, given that 3*a**2/7 + 33*a/7 - 36/7 = 0.
-12, 1
Let 29*w**5/2 - 28*w**4 - 60*w**3 + 25*w**2 + 91*w/2 + 3 = 0. Ca