151420*h**2 + 102152*h = 0. Calculate h.
-113, 0, 1, 2
Factor 3*n**5 - 9*n**4 - 15*n**3 + 9*n**2 + 12*n.
3*n*(n - 4)*(n - 1)*(n + 1)**2
Suppose d**3 + 133*d**2 + 4488*d + 4356 = 0. What is d?
-66, -1
Factor 2*f**4 - 220*f**3 - 1136*f**2 - 1604*f - 690.
2*(f - 115)*(f + 1)**2*(f + 3)
Determine u so that -u**2/8 + 19*u/8 - 9/4 = 0.
1, 18
Determine z so that 80*z**3 + 468*z**2 - 632*z + 84 = 0.
-7, 3/20, 1
Solve 5*k**2 + 280*k + 275 = 0 for k.
-55, -1
Factor -186624*f**4 - 15552*f**3 + 129168*f**2 + 64220*f + 8788.
-4*(f - 1)*(36*f + 13)**3
Factor -27*i**2 - 3420*i - 108300.
-3*(3*i + 190)**2
Factor 3*r**5 + 177*r**4 + 981*r**3 + 1431*r**2.
3*r**2*(r + 3)**2*(r + 53)
Suppose -3*f**3/5 - 2373*f**2/5 + 3*f/5 + 2373/5 = 0. What is f?
-791, -1, 1
Let -p**5/7 - 4*p**4/7 + p**3/7 + 16*p**2/7 + 12*p/7 = 0. Calculate p.
-3, -2, -1, 0, 2
Suppose 4*f**3 - 264*f**2 - 276*f + 536 = 0. Calculate f.
-2, 1, 67
Factor f**3/8 - 7*f**2/4 + 49*f/8 - 9/2.
(f - 9)*(f - 4)*(f - 1)/8
Suppose -f**4 - 5968*f**3 - 13356384*f**2 - 13285149952*f - 4955360932096 = 0. Calculate f.
-1492
Factor c**2 - 11*c - 12.
(c - 12)*(c + 1)
Find u, given that 75*u**4 - 60*u**3 + 12*u**2 = 0.
0, 2/5
Factor -2*w**5 - 730*w**4 - 66246*w**3 + 66978*w**2.
-2*w**2*(w - 1)*(w + 183)**2
Factor 3*o**2 - 32*o + 20.
(o - 10)*(3*o - 2)
Suppose 4*m**5 + 76*m**4 + 124*m**3 - 220*m**2 - 256*m + 272 = 0. What is m?
-17, -2, 1
Factor -3*i**4 - 30*i**3 - 99*i**2 - 120*i - 48.
-3*(i + 1)**2*(i + 4)**2
Factor h**4 + h**3 - 12*h**2 - 28*h - 16.
(h - 4)*(h + 1)*(h + 2)**2
Factor 4*u**2 - 116*u.
4*u*(u - 29)
Suppose 2*a**2/13 + 2698*a/13 = 0. What is a?
-1349, 0
Find t, given that -8*t**4 - 26*t**3 + 18*t = 0.
-3, -1, 0, 3/4
Find r, given that r**3/6 - r**2/2 + r/2 - 1/6 = 0.
1
Suppose -m**5 - 20*m**4 - 66*m**3 - 28*m**2 + 67*m + 48 = 0. Calculate m.
-16, -3, -1, 1
Let r**3 + 36*r**2 - 435*r + 1150 = 0. What is r?
-46, 5
Solve -2*m**5/3 + 38*m**4/3 - 230*m**3/3 + 482*m**2/3 - 416*m/3 + 128/3 = 0.
1, 8
Solve 7*u**3 + 19*u**2 - 76*u + 20 = 0 for u.
-5, 2/7, 2
Find i such that -2*i**5/7 - 40*i**4/7 + 186*i**3/7 - 152*i**2/7 - 184*i/7 + 192/7 = 0.
-24, -1, 1, 2
Let -70*c**5 + 605*c**4 - 1205*c**3 + 580*c**2 - 60*c = 0. Calculate c.
0, 1/7, 1/2, 2, 6
Factor 3*g**2/4 + 663*g/4 + 165.
3*(g + 1)*(g + 220)/4
Suppose 4*b**3 - 704*b**2 = 0. Calculate b.
0, 176
Factor -3*w**2/4 - 9*w/2.
-3*w*(w + 6)/4
Find x such that -5*x**2 + 275*x = 0.
0, 55
Determine w, given that -w**3 - 85*w**2/3 + 467*w/3 + 55 = 0.
-33, -1/3, 5
What is g in 2*g**5/13 - 6*g**4/13 + 2*g**3/13 + 6*g**2/13 - 4*g/13 = 0?
-1, 0, 1, 2
Find n such that 2*n**5/7 + 8*n**4/7 - 12*n**3/7 - 8*n**2/7 + 10*n/7 = 0.
-5, -1, 0, 1
Factor -5*u**3 - 615*u**2 - 1215*u - 605.
-5*(u + 1)**2*(u + 121)
Factor 4*m**2 - 28*m - 32.
4*(m - 8)*(m + 1)
Factor -l**4/5 - 4*l**3 - 19*l**2/5.
-l**2*(l + 1)*(l + 19)/5
Factor -5*w**3/3 + 52*w**2/3 - 65*w/3 + 6.
-(w - 9)*(w - 1)*(5*w - 2)/3
Solve -t**5/6 - t**4 - 5*t**3/3 + 11*t/6 + 1 = 0.
-3, -2, -1, 1
Factor -5*k**2 + 3620*k - 655220.
-5*(k - 362)**2
Factor 5*w**4 + 45*w**3 + 120*w**2 + 80*w.
5*w*(w + 1)*(w + 4)**2
Find r, given that -5*r**5 - 130*r**4 - 1200*r**3 - 4480*r**2 - 5120*r = 0.
-8, -2, 0
Factor 5*p**2 - 515*p + 510.
5*(p - 102)*(p - 1)
Factor -3*f**2/8 - 57*f/8 - 51/4.
-3*(f + 2)*(f + 17)/8
Determine z so that 3*z**3 + 123*z**2 + 453*z + 333 = 0.
-37, -3, -1
Find j, given that -2*j**5 + 8*j**4 - 6*j**3 - 8*j**2 + 8*j = 0.
-1, 0, 1, 2
Solve 5*y**2 - 2910*y - 5840 = 0 for y.
-2, 584
Find c such that 4*c**2 + 4*c - 120 = 0.
-6, 5
Factor 2*s**3/3 + 340*s**2/3 + 1336*s/3 + 1328/3.
2*(s + 2)**2*(s + 166)/3
Factor 3*j**2/5 - 111*j/5 + 108/5.
3*(j - 36)*(j - 1)/5
Factor -4*l**2/3 - 112*l - 332/3.
-4*(l + 1)*(l + 83)/3
Let -4*z**4 + 84*z**3 - 568*z**2 + 1536*z - 1408 = 0. Calculate z.
2, 4, 11
Let -c**2/8 - 165*c/8 + 167/4 = 0. Calculate c.
-167, 2
Suppose -2*d**2 - 30*d + 68 = 0. Calculate d.
-17, 2
Let -4*l**5 + 6*l**4 + 50*l**3 - 126*l**2 + 98*l - 24 = 0. Calculate l.
-4, 1/2, 1, 3
Find h such that h**4/3 + 10*h**3/3 - h**2 - 32*h/3 - 20/3 = 0.
-10, -1, 2
Let -2*d**4 + 264*d**3 - 8972*d**2 + 17160*d - 8450 = 0. Calculate d.
1, 65
Suppose -10*s**3/7 + 46*s**2/7 + 20*s/7 = 0. What is s?
-2/5, 0, 5
Solve i**5 + 20*i**4 - 73*i**3 - 80*i**2 + 276*i = 0.
-23, -2, 0, 2, 3
Let 4*k**2 + 784*k - 1584 = 0. Calculate k.
-198, 2
Factor -m**4/7 - 226*m**3/7 - 1856*m**2 - 3584*m.
-m*(m + 2)*(m + 112)**2/7
Let 5*n**2 + 185*n + 180 = 0. Calculate n.
-36, -1
Factor 3*r**2/5 - 6177*r/5.
3*r*(r - 2059)/5
Determine p so that p**3/4 + 9*p**2/4 + 5*p = 0.
-5, -4, 0
Solve -15*m**5/4 - 205*m**4/4 - 145*m**3/2 + 30*m**2 = 0 for m.
-12, -2, 0, 1/3
What is x in -14*x**3/3 + 236*x**2/9 - 290*x/9 + 8 = 0?
1/3, 9/7, 4
Solve -v**3/8 + 11*v**2/8 - 3*v - 9/2 = 0 for v.
-1, 6
Let 3*v**2/5 + 6*v/5 - 9/5 = 0. What is v?
-3, 1
Suppose 3*w**2/2 - 1053*w/2 + 4617 = 0. Calculate w.
9, 342
Factor -m**5 + 6037*m**4 - 12144430*m**3 + 8132709222*m**2 + 16301875887*m + 8157016197.
-(m - 2013)**3*(m + 1)**2
Factor -f**3/3 - 4*f**2/3 + 4*f.
-f*(f - 2)*(f + 6)/3
Solve -3*r**2 - 132*r - 129 = 0 for r.
-43, -1
Solve 5*u**2/6 + 31*u/6 - 21 = 0 for u.
-9, 14/5
Factor w**3/5 - 3*w**2/5 + 2*w/5.
w*(w - 2)*(w - 1)/5
Solve -g**5 + g**4 + 6*g**3 - 4*g**2 - 8*g = 0.
-2, -1, 0, 2
Suppose -w**2/3 - 5*w/3 + 112 = 0. What is w?
-21, 16
Factor -3*o**2 + 258*o - 504.
-3*(o - 84)*(o - 2)
Factor -9*y**2/5 + 193*y/5 - 84/5.
-(y - 21)*(9*y - 4)/5
Find o such that 2*o**5/7 - 6*o**4/7 - 90*o**3/7 - 22*o**2 - 72*o/7 = 0.
-4, -1, 0, 9
Factor -o**3/4 - 6*o**2 + 27*o/4 + 25/2.
-(o - 2)*(o + 1)*(o + 25)/4
What is c in -c**3/5 + 81*c**2/5 - 1599*c/5 - 1681/5 = 0?
-1, 41
Factor -p**3/5 - 3*p**2/5 + 24*p/5 - 28/5.
-(p - 2)**2*(p + 7)/5
Determine v so that 3*v**2 - 36*v - 84 = 0.
-2, 14
Solve 2*v**4/3 - 52*v**3/3 - 326*v**2/3 + 400*v/3 + 992 = 0.
-4, 3, 31
Determine m, given that 6*m**4 - 92*m**3 + 462*m**2 - 792*m + 216 = 0.
1/3, 3, 6
Factor 4*z**4/9 - 8*z**3/3 - 148*z**2/9 - 40*z/3.
4*z*(z - 10)*(z + 1)*(z + 3)/9
Find v, given that 3*v**4 + 798*v**3 + 3156*v**2 + 3144*v = 0.
-262, -2, 0
What is v in 3*v**5/8 - 3*v**4/8 - 9*v**3/4 = 0?
-2, 0, 3
Solve 10*y**4 + 55*y**3 - 895*y**2 - 1420*y - 480 = 0 for y.
-12, -1, -1/2, 8
Find j, given that 2*j**2/5 + 28*j/5 + 66/5 = 0.
-11, -3
Determine k so that -4*k**3 + 9168*k**2 - 5244084*k - 10524872 = 0.
-2, 1147
Solve 3*i**3/2 + 39*i**2/2 - 57*i - 180 = 0.
-15, -2, 4
Suppose 2*k**5/11 + 38*k**4/11 + 178*k**3/11 + 58*k**2/11 - 804*k/11 - 720/11 = 0. What is k?
-12, -5, -3, -1, 2
Find a, given that a**4/5 - 97*a**3/5 + 37*a**2 + 481*a/5 - 114 = 0.
-2, 1, 3, 95
Factor -f**3 + 1660*f**2 - 688900*f.
-f*(f - 830)**2
Let -44*r**4 - 656*r**3 + 764*r**2 - 64*r = 0. What is r?
-16, 0, 1/11, 1
Suppose p**3 - 231*p**2 - 2929*p + 3159 = 0. What is p?
-13, 1, 243
Find k, given that 5*k**3 + 35*k**2 + 40*k - 80 = 0.
-4, 1
Solve 4*u**3/3 + 104*u**2/3 + 256*u + 384 = 0 for u.
-12, -2
Solve d**5/3 + 12*d**4 + 64*d**3/3 - 46*d**2 - 65*d/3 + 34 = 0.
-34, -3, -1, 1
Suppose -3*t**2 - 291*t - 570 = 0. What is t?
-95, -2
Factor 3*u**2 + 84*u + 345.
3*(u + 5)*(u + 23)
Let -5*k**2/6 + 205*k/3 - 260 = 0. What is k?
4, 78
What is j in -2*j**3 + 33*j**2 + 17*j = 0?
-1/2, 0, 17
Factor -r**2/5 + 2*r/5 + 8/5.
-(r - 4)*(r + 2)/5
Find f such that -3*f**3 - 54*f**2 = 0.
-18, 0
Find v such that -2*v**5/11 + 2*v**4/11 + 2*v**3 + 14*v**2/11 - 20*v/11 - 16/11 = 0.
-2, -1, 1, 4
Determine a so that -a**2/5 - 59*a/5 - 54 = 0.
-54, -5
What is j in 3*j**2 + 2268*j - 2271 = 0?
-757, 1
Determine x, given that x**2/6 - 8*x/3 + 21/2 = 0.
7, 9
Factor -m**3/2 - 7*m**2/2 - 7*m - 4.
-(m + 1)*(m + 2)*(m + 4)/2
Suppose 2*p**3/13 - 366*p**2/13 + 726*p/13 - 362/13 = 0. Calculate p.
1, 181
Find l such that -l**4 - 24*l**3 - 83*l**2 - 60*l = 0.
-20, -3, -1, 0
Let 6*a**5/5 - 316*a**4/5 - 116*a**3/5 + 528*a**2/5 + 22*a - 212/5 = 0. Calculate a.
-1, 2/3, 1, 53
Find i, given that i**2/6 + 1558*i/3 + 1213682/3 = 0.
-1558
Factor -2*f**2/3 + 8*f.
-2*f*(f - 12)/3
Factor l**4/3 + 3*l**3 - 11*l**2/3 - 3*l + 10/3.
(l - 1)**2*(l + 1)*(l + 10)/3
Factor 21*r**5 + 57*r**4 - 333*r**3 + 447*r**2 - 228*r + 36.
3*(r - 1)**3*(r + 6)*(7*r - 2)
Factor 2*t**5/7 - 62*t**4/7 + 64*t**3 + 512*t**2/7.
2*t**2*(t - 16)**2*(t + 1)/7
Let -14*s**5 + 