 2
Suppose -a**2/4 - a/4 + 3 = 0. What is a?
-4, 3
Suppose 3*o**2 - 99*o + 600 = 0. Calculate o.
8, 25
Determine p, given that p**5/5 + 9*p**4/5 + 6*p**3 + 44*p**2/5 + 24*p/5 = 0.
-3, -2, 0
Determine p so that -14*p**4/9 + 172*p**3/9 + 806*p**2/9 + 428*p/9 - 64/3 = 0.
-3, -1, 2/7, 16
Suppose 8*a**4 - 126*a**3 + 296*a**2 - 126*a - 52 = 0. What is a?
-1/4, 1, 2, 13
What is d in d**3/6 + d**2/3 - 3*d/2 - 3 = 0?
-3, -2, 3
Determine x, given that -5*x**3/6 + 10*x**2/3 + 25*x/6 = 0.
-1, 0, 5
Factor -2*t**3/21 + 2*t**2/21 + 4*t/21.
-2*t*(t - 2)*(t + 1)/21
Let -4*n**4/3 - 104*n**3/3 - 896*n**2/3 - 3160*n/3 - 1300 = 0. Calculate n.
-13, -5, -3
Factor -3*f**5 + 24*f**3 - 48*f.
-3*f*(f - 2)**2*(f + 2)**2
Factor -1156*p**4/3 + 12920*p**3/3 - 30388*p**2/3 - 10640*p - 2352.
-4*(p - 6)**2*(17*p + 7)**2/3
Solve c**4/2 + 19*c**3/8 - 73*c**2/8 - 67*c/8 + 21/8 = 0 for c.
-7, -1, 1/4, 3
Determine h, given that 2*h**2/3 + 13036*h/3 + 21242162/3 = 0.
-3259
Solve -g**3 + 114*g**2 - 2745*g - 29768 = 0 for g.
-8, 61
Factor 2*v**3/19 + 5750*v**2/19 + 4129936*v/19 - 4135688/19.
2*(v - 1)*(v + 1438)**2/19
Find a, given that -130*a**3 + 445*a**2 + 1465*a + 110 = 0.
-2, -1/13, 11/2
Factor 4*b**3 - 200*b**2 + 388*b - 192.
4*(b - 48)*(b - 1)**2
Let -27*q**5 - 192*q**4 - 426*q**3 - 288*q**2 - 27*q = 0. What is q?
-3, -1, -1/9, 0
What is a in 2*a**4 + 22*a**3 - 162*a**2 - 22*a + 160 = 0?
-16, -1, 1, 5
Suppose p**3 + 145*p**2 + 5183*p - 5329 = 0. What is p?
-73, 1
Factor -4*b**4 - 824*b**3 - 3248*b**2 - 3232*b.
-4*b*(b + 2)**2*(b + 202)
Determine h, given that -2*h**2 + 8*h + 64 = 0.
-4, 8
Determine d so that 2*d**3 - 50*d**2 + 342*d - 630 = 0.
3, 7, 15
Find w, given that 4*w**4/3 + 80*w**3 + 3884*w**2/3 + 5728*w - 7104 = 0.
-37, -12, 1
Determine n, given that 5*n**3/3 - 5825*n**2 + 11645*n - 17465/3 = 0.
1, 3493
Find o, given that 5*o**4 + 135*o**3 + 360*o**2 = 0.
-24, -3, 0
Solve 4*u**5 - 56*u**4 + 176*u**3 - 160*u**2 = 0.
0, 2, 10
Let q**2/10 - 342*q + 292410 = 0. Calculate q.
1710
Factor 5*i**4/4 - 545*i**3/4 + 4620*i**2 - 63680*i + 312320.
5*(i - 61)*(i - 16)**3/4
Let -3*u**3 - 48*u**2 = 0. Calculate u.
-16, 0
Factor 4*s**2/3 + 364*s/3 + 784.
4*(s + 7)*(s + 84)/3
Find x such that -4*x**5/3 + 24*x**4 + 20*x**3/3 - 120*x**2 - 16*x/3 + 96 = 0.
-2, -1, 1, 2, 18
Factor -4*h**3 + 1464*h**2.
-4*h**2*(h - 366)
Find l such that -4*l**3 + 972*l**2 - 78732*l + 2125764 = 0.
81
Find q, given that -q**5/7 + 6*q**4/7 - 11*q**3/7 + 6*q**2/7 = 0.
0, 1, 2, 3
Factor -6*s**4 + 57*s**3 - 147*s**2 + 60*s.
-3*s*(s - 5)*(s - 4)*(2*s - 1)
Factor 21*b**3 + 4542*b**2 + 246240*b + 69984.
3*(b + 108)**2*(7*b + 2)
Factor -u**4/3 - 4*u**3/3 + 2*u**2/3 + 4*u - 3.
-(u - 1)**2*(u + 3)**2/3
Factor 5*x**5 - 770*x**4 + 38985*x**3 - 619580*x**2 - 1527760*x + 2109120.
5*(x - 52)**3*(x - 1)*(x + 3)
Let -2*w**2 + 652*w + 5344 = 0. What is w?
-8, 334
Suppose 5*q**4 - 2390*q**3 + 278345*q**2 + 1735140*q + 2635380 = 0. What is q?
-3, 242
Determine x so that -x**2 - 33*x - 62 = 0.
-31, -2
Solve -4*j**5 - 24*j**4 + 64*j**3 + 424*j**2 - 60*j - 400 = 0 for j.
-5, -1, 1, 4
Find v such that v**2 + 3884*v - 3885 = 0.
-3885, 1
Solve l**3/6 - 15*l**2/2 - 1539*l/2 - 24057/2 = 0 for l.
-27, 99
Factor -5*z**4 + 140*z**3 + 295*z**2 + 150*z.
-5*z*(z - 30)*(z + 1)**2
Suppose 3*z**2 - 366*z + 363 = 0. What is z?
1, 121
Factor -2*w**2/13 - 46*w/13 - 20.
-2*(w + 10)*(w + 13)/13
Solve 35*h**5 - 515*h**4 - 11105*h**3 - 50905*h**2 - 75390*h - 17640 = 0.
-7, -3, -2/7, 28
Find o, given that -5*o**5 - 35*o**4 + 45*o**3 + 295*o**2 - 200*o - 420 = 0.
-7, -3, -1, 2
Suppose 5*z**4/2 - 3984*z**3 + 12737*z**2/2 - 795*z - 1592 = 0. Calculate z.
-2/5, 1, 1592
Factor 4*x**2/7 + 172*x + 2392/7.
4*(x + 2)*(x + 299)/7
Factor 3*w**5/5 + 48*w**4/5 + 144*w**3/5.
3*w**3*(w + 4)*(w + 12)/5
Find o such that 4*o**4 + 1084*o**3 + 3216*o**2 = 0.
-268, -3, 0
Factor -2*k**2/5 - 48*k/5.
-2*k*(k + 24)/5
Factor -w**3/5 - 41*w**2/5 + 489*w/5 - 1071/5.
-(w - 7)*(w - 3)*(w + 51)/5
Suppose -4*k**2/5 - 44*k/5 - 8 = 0. Calculate k.
-10, -1
Suppose -3*l**2 + 156*l - 153 = 0. Calculate l.
1, 51
Factor s**3 + 7*s**2 - 10*s - 16.
(s - 2)*(s + 1)*(s + 8)
Factor 455*n**4 - 21850*n**3 + 262560*n**2 - 5760*n.
5*n*(n - 24)**2*(91*n - 2)
Factor -c**3 - 11*c**2 + 60*c.
-c*(c - 4)*(c + 15)
Factor 3*w**5 + 141*w**4 + 405*w**3 + 399*w**2 + 132*w.
3*w*(w + 1)**3*(w + 44)
Factor -3*n**3 - 210*n**2 + 876*n - 888.
-3*(n - 2)**2*(n + 74)
What is i in -4*i**2 + 132*i + 136 = 0?
-1, 34
Find o such that -6*o**4/5 + 12*o**3 + 48*o**2 - 12*o - 234/5 = 0.
-3, -1, 1, 13
Factor -20*j**2 - 4872*j + 1952.
-4*(j + 244)*(5*j - 2)
Factor 24*r**5 - 16*r**4 - 22*r**3/3 - 2*r**2/3.
2*r**2*(r - 1)*(6*r + 1)**2/3
Factor 3*a**4 + 33*a**3 + 120*a**2 + 144*a.
3*a*(a + 3)*(a + 4)**2
Factor 5*d**2 - 1045*d - 2110.
5*(d - 211)*(d + 2)
Factor -11*s**5/7 + 5*s**4 - 39*s**3/7 + 17*s**2/7 - 2*s/7.
-s*(s - 1)**3*(11*s - 2)/7
Factor 2*k**4/3 - 16*k**2/3 + 32/3.
2*(k - 2)**2*(k + 2)**2/3
Let 5*u**2 + 270*u = 0. What is u?
-54, 0
Factor 3*n**2/2 - 2124*n + 751896.
3*(n - 708)**2/2
Let 6*p**5/13 - 34*p**4/13 + 20*p**3/13 + 120*p**2/13 - 176*p/13 + 64/13 = 0. Calculate p.
-2, 2/3, 1, 2, 4
What is x in x**3 + 13*x**2 - x - 13 = 0?
-13, -1, 1
Factor r**3/4 + r**2/4 - 4*r + 5.
(r - 2)**2*(r + 5)/4
Factor -b**4/9 + 59*b**3/3 + 80*b**2 + 724*b/9.
-b*(b - 181)*(b + 2)**2/9
Factor 3*t**2/5 + 5688*t/5 + 2696112/5.
3*(t + 948)**2/5
Find h such that 3*h**5 - 87*h**4 + 453*h**3 - 933*h**2 + 840*h - 276 = 0.
1, 2, 23
Solve -2*b**5 - 46*b**4 - 390*b**3 - 1442*b**2 - 1960*b = 0.
-7, -5, -4, 0
Factor w**4/6 - 3*w**3 + 16*w**2 - 80*w/3.
w*(w - 10)*(w - 4)**2/6
Solve 4*y**5/3 - 20*y**4/3 + 7*y**3 + 16*y**2/3 - 23*y/3 + 2 = 0.
-1, 1/2, 2, 3
Solve 4*l**5 - 256*l**4 + 5344*l**3 - 43520*l**2 + 117824*l - 100352 = 0 for l.
2, 14, 32
Find k, given that k**2/7 - 58*k + 405/7 = 0.
1, 405
What is v in 2*v**4/13 + 4*v**3/13 - 30*v**2/13 - 64*v/13 - 32/13 = 0?
-4, -1, 4
Find x, given that -2*x**2 + 358*x - 356 = 0.
1, 178
Let -4*r**5 - 476*r**4 - 15740*r**3 - 94564*r**2 - 192192*r - 112896 = 0. What is r?
-56, -3, -1
Suppose 2*y**3 - 92*y**2 + 344*y - 336 = 0. What is y?
2, 42
What is y in -2*y**2/15 + 18*y/5 + 132/5 = 0?
-6, 33
Factor 2*o**2/17 + 14*o - 732/17.
2*(o - 3)*(o + 122)/17
Let -38*p**3/15 + 1106*p**2/15 - 1072*p/3 + 184/5 = 0. Calculate p.
2/19, 6, 23
Factor q**5/4 + 31*q**4 - 899*q**3/4 + 1169*q**2/2 - 653*q + 262.
(q - 2)**3*(q - 1)*(q + 131)/4
Factor 5*b**2 - 590*b.
5*b*(b - 118)
Solve 5*w**5 - 395*w**4 + 10075*w**3 - 81685*w**2 = 0.
0, 17, 31
Suppose q**4 + 91*q**3/6 + 194*q**2/3 + 182*q/3 + 16 = 0. Calculate q.
-8, -6, -2/3, -1/2
Determine t, given that 4*t**2 + 240*t + 3116 = 0.
-41, -19
Find i, given that -5*i**3 + 385*i**2 + 2050*i = 0.
-5, 0, 82
Factor -o**2/9 + 1/9.
-(o - 1)*(o + 1)/9
Determine i, given that -i**4/8 + 7*i**3 - 309*i**2/8 + 227*i/4 - 25 = 0.
1, 4, 50
Find s, given that -2*s**4 + 16*s**3 - 26*s**2 + 12*s = 0.
0, 1, 6
Determine d so that -5*d**5 - 90*d**4 - 165*d**3 - 80*d**2 = 0.
-16, -1, 0
Find z such that -z**2/5 - 6*z/5 + 8 = 0.
-10, 4
Factor -5*j**3/2 - 25*j**2 - 40*j.
-5*j*(j + 2)*(j + 8)/2
Find a, given that -484*a**2 + 100848*a - 5253264 = 0.
1146/11
Factor 2*m**2/5 - 524*m/5 + 34322/5.
2*(m - 131)**2/5
Solve 2*y**2 - 776*y + 75272 = 0.
194
Factor 2*u**4/9 - 14*u**3/3 - 10*u**2 - 46*u/9.
2*u*(u - 23)*(u + 1)**2/9
Find b, given that -b**3/4 - b**2/2 + 56*b = 0.
-16, 0, 14
Suppose -2*x**4/9 + 14*x**2/9 + 4*x/3 = 0. What is x?
-2, -1, 0, 3
Factor 6*h**2 - 2*h - 4.
2*(h - 1)*(3*h + 2)
Determine v, given that -2*v**3/7 - 58*v**2/7 + 1760*v/7 - 1400 = 0.
-49, 10
What is z in -16*z**2 - 68*z - 60 = 0?
-3, -5/4
Factor 4*r**4 + 48*r**3 + 149*r**2 + 177*r + 72.
(r + 1)*(r + 8)*(2*r + 3)**2
Solve -z**3 - 11*z**2 - 10*z = 0 for z.
-10, -1, 0
Factor 5*o**2 - 15375*o - 15380.
5*(o - 3076)*(o + 1)
Factor -17*i**3 + 206*i**2 - 636*i + 72.
-(i - 6)**2*(17*i - 2)
Factor -2*t**2/5.
-2*t**2/5
Solve -2*w**3/7 + 67*w**2/7 + 177*w/7 + 108/7 = 0.
-3/2, -1, 36
Factor 3*w**2/5 - 12*w/5 - 36/5.
3*(w - 6)*(w + 2)/5
Factor -o**2/3 - 133*o/3 - 262/3.
-(o + 2)*(o + 131)/3
Solve 2*y**5/5 + 6*y**4/5 - 10*y**3 + 42*y**2/5 = 0 for y.
-7, 0, 1, 3
Let 25*y**4 + 160*y**3 + 340*y**2 + 240*y = 0. Calculate y.
-12/5, -2, 0
Factor 3*m**4 + 9*m