 1)/17
Solve -2*p**2 - 94*p + 408 = 0.
-51, 4
Suppose 3*f**2/4 - 65*f/4 + 25 = 0. Calculate f.
5/3, 20
What is k in -3*k**4 - 18*k**3 + 69*k**2 + 288*k - 336 = 0?
-7, -4, 1, 4
Find y such that -3*y**4 + 48*y**3 - 192*y**2 = 0.
0, 8
Factor 2*a**2/5 - 376*a/5 - 152.
2*(a - 190)*(a + 2)/5
Determine c, given that 5*c**4 + 20*c**3 - 5*c**2 - 20*c = 0.
-4, -1, 0, 1
Factor -5*d**4 - 15*d**3 + 705*d**2 + 715*d.
-5*d*(d - 11)*(d + 1)*(d + 13)
Factor p**5/10 - p**4/2 + 3*p**3/5 + p**2/5 - 7*p/10 + 3/10.
(p - 3)*(p - 1)**3*(p + 1)/10
Suppose -2*t**4/5 - 146*t**3 + 2944*t**2/5 - 2952*t/5 = 0. What is t?
-369, 0, 2
Find i, given that 21*i**3/5 - 78*i**2 - 843*i/5 - 432/5 = 0.
-1, 144/7
Factor t**4/8 - 43*t**3/8 + 219*t**2/4 + 143*t/2 - 121.
(t - 22)**2*(t - 1)*(t + 2)/8
Solve -2*h**2 - 568*h - 40328 = 0.
-142
Let -n**2 + 2736*n - 1871424 = 0. What is n?
1368
Factor -4*x**3/3 - 268*x**2/3 - 4352*x/3 + 4624/3.
-4*(x - 1)*(x + 34)**2/3
Let 25*g**4/7 - 110*g**3 + 6004*g**2/7 - 4440*g/7 + 864/7 = 0. What is g?
2/5, 12, 18
Find c, given that 5*c**2/4 + 16*c - 13/4 = 0.
-13, 1/5
What is j in 27*j**5/2 + 399*j**4/2 + 1611*j**3/2 + 945*j**2/2 - 147*j = 0?
-7, -1, 0, 2/9
Factor -l**4 + 43*l**3 + 135*l**2 + 137*l + 46.
-(l - 46)*(l + 1)**3
Factor 5*k**2 + 130*k + 845.
5*(k + 13)**2
Find c such that 5*c**2 + 540*c + 535 = 0.
-107, -1
Factor -3*j**3/2 - 17*j**2/4 + j/4 + 11/2.
-(j - 1)*(j + 2)*(6*j + 11)/4
Let -50*g**3/7 + 590*g**2/7 - 64*g + 88/7 = 0. What is g?
2/5, 11
Factor g**2/6 + 37*g/2 + 679/3.
(g + 14)*(g + 97)/6
Let v**4/5 - 29*v**3/5 + 24*v**2 = 0. Calculate v.
0, 5, 24
Suppose -351*a**4 - 729*a**3 - 15*a**2 + 81*a + 6 = 0. What is a?
-2, -1/3, -1/13, 1/3
Factor 4*s**5/5 + 12*s**4/5 - 16*s**3/5 - 64*s**2/5 + 64/5.
4*(s - 2)*(s - 1)*(s + 2)**3/5
Factor 4*t**5 - 44*t**4 + 60*t**3 + 268*t**2 + 160*t.
4*t*(t - 8)*(t - 5)*(t + 1)**2
Factor -l**5 - 27*l**4 - 140*l**3.
-l**3*(l + 7)*(l + 20)
Factor -f**5/2 - 3*f**4 - 6*f**3 - 5*f**2 - 3*f/2.
-f*(f + 1)**3*(f + 3)/2
Suppose -y**4 + 3*y**3 + 2*y**2 - 12*y + 8 = 0. What is y?
-2, 1, 2
Find h such that 5*h**4 + 60*h**3 + 100*h**2 = 0.
-10, -2, 0
What is y in -2*y**4/5 + 12*y**3/5 + 56*y**2/5 - 12*y/5 - 54/5 = 0?
-3, -1, 1, 9
Factor -5*w**2 - 290*w - 4205.
-5*(w + 29)**2
Factor r**3/5 - 131*r**2/5 + 259*r/5 - 129/5.
(r - 129)*(r - 1)**2/5
Solve 3*u**4 - 114*u**3 - 495*u**2 - 378*u = 0.
-3, -1, 0, 42
Factor -4*v**2/9 + 28*v - 248/9.
-4*(v - 62)*(v - 1)/9
Factor -m**2 - 81*m + 82.
-(m - 1)*(m + 82)
Factor -2*i**4/9 + 46*i**3/3 + 94*i**2/3 + 142*i/9.
-2*i*(i - 71)*(i + 1)**2/9
What is s in -s**2/8 + 162*s - 1295/8 = 0?
1, 1295
Let 117*a**2/5 + 48*a + 12/5 = 0. Calculate a.
-2, -2/39
Determine h so that 4*h**4 - 52*h**3 + 92*h**2 - 44*h = 0.
0, 1, 11
Factor g**3 - 8*g**2 + 5*g + 14.
(g - 7)*(g - 2)*(g + 1)
Factor 2*w**2 - 2104*w + 553352.
2*(w - 526)**2
Find n, given that -n**2/8 - 61*n/4 - 121/8 = 0.
-121, -1
Suppose k**2/2 + k/2 - 10 = 0. What is k?
-5, 4
Determine t, given that -5*t**2 + 1760*t - 154880 = 0.
176
Suppose 3448449*d**2/2 + 1857*d + 1/2 = 0. Calculate d.
-1/1857
Factor -t**2/5 - 652*t/5 - 651/5.
-(t + 1)*(t + 651)/5
What is v in -v**3/5 + 204*v**2/5 - 10404*v/5 = 0?
0, 102
Find x such that -x**4 - 64*x**3 - 557*x**2 - 926*x - 432 = 0.
-54, -8, -1
What is a in 4*a**3 - 6*a**2/7 - 4*a/7 = 0?
-2/7, 0, 1/2
Factor -338*z**3/11 + 668*z**2/11 - 322*z/11 - 8/11.
-2*(z - 1)**2*(169*z + 4)/11
Solve 9*l**5/10 - 17*l**4/5 + 19*l**3/10 + 21*l**2/5 - 14*l/5 - 4/5 = 0.
-1, -2/9, 1, 2
Let -3*k**3/4 + 3*k**2/4 + 99*k = 0. Calculate k.
-11, 0, 12
Solve 2*u**5 - 6*u**3 - 4*u**2 = 0.
-1, 0, 2
Solve -2*u**5 - 234*u**4 - 6952*u**3 - 5792*u**2 + 27840*u + 26912 = 0 for u.
-58, -2, -1, 2
Factor n**4 + 59*n**3/4 + 177*n**2/4 - 76*n + 16.
(n - 1)*(n + 8)**2*(4*n - 1)/4
Let -4*a**3 + 376*a**2 - 8836*a = 0. Calculate a.
0, 47
Find g such that 5*g**5/3 + 10*g**4 - 5*g**3 - 80*g**2/3 + 20*g = 0.
-6, -2, 0, 1
Factor t**4 + 67*t**3 + 1088*t**2 - 1156*t.
t*(t - 1)*(t + 34)**2
Let -4*b**4 + 28*b**3 + 76*b**2 - 28*b - 72 = 0. What is b?
-2, -1, 1, 9
Let -40*d**5/21 - 198*d**4/7 - 1426*d**3/21 - 32*d**2 + 296*d/21 + 32/7 = 0. Calculate d.
-12, -2, -1, -1/4, 2/5
Let -126*k**5 + 183*k**4 + 420*k**3 - 720*k**2 + 336*k - 48 = 0. What is k?
-2, 2/7, 1/2, 2/3, 2
Factor -w**2/5 - 33*w/5 + 14.
-(w - 2)*(w + 35)/5
Find z such that -4*z**5/9 - 2*z**4/9 + 2*z**3 + 8*z**2/9 - 8*z/9 = 0.
-2, -1, 0, 1/2, 2
What is z in -5*z**5 + 25*z**4 + 65*z**3 + 35*z**2 = 0?
-1, 0, 7
Suppose 2*f**5/21 - 16*f**4/21 + 46*f**3/21 - 8*f**2/3 + 8*f/7 = 0. What is f?
0, 1, 2, 3
Let -2*f**3 + 8*f**2 + 104*f + 160 = 0. Calculate f.
-4, -2, 10
Let -4*l**3/5 + 7*l**2/5 - 2*l/5 - 1/5 = 0. What is l?
-1/4, 1
Suppose 8*l**5 + 226*l**4 + 1352*l**3 - 3996*l**2 - 6480*l - 1350 = 0. What is l?
-15, -1, -1/4, 3
Let -25*t**2 + 530*t - 1045 = 0. Calculate t.
11/5, 19
Determine w so that -6*w**5 + 112*w**4 - 66*w**3 - 112*w**2 + 72*w = 0.
-1, 0, 2/3, 1, 18
Determine y so that 4*y**3 - 2916*y**2 + 529980*y + 532900 = 0.
-1, 365
Suppose 2*x**4/9 - 382*x**3/9 + 42*x**2 + 382*x/9 - 380/9 = 0. Calculate x.
-1, 1, 190
Solve -p**4/8 - 119*p**3/4 - 14397*p**2/8 - 7021*p/2 - 3481/2 = 0 for p.
-118, -1
Determine t, given that 8*t**3 - 1084*t**2 + 36448*t + 18496 = 0.
-1/2, 68
Factor 5*p**2 + 45*p - 1610.
5*(p - 14)*(p + 23)
Factor 3*q**3 - 21*q**2 - 576*q - 2052.
3*(q - 19)*(q + 6)**2
Factor s**3 + 5*s**2 + 4*s.
s*(s + 1)*(s + 4)
Suppose -4*j**5 + 883*j**4 - 49060*j**3 + 36300*j**2 = 0. What is j?
0, 3/4, 110
Factor -5*a**2 + 175*a + 370.
-5*(a - 37)*(a + 2)
Factor -16*q**3/3 - 48*q**2 - 140*q - 392/3.
-4*(q + 2)*(2*q + 7)**2/3
Determine v so that -v**4 - 4*v**3 + 85*v**2 + 88*v = 0.
-11, -1, 0, 8
Solve 2*q**2 - 4*q + 2 = 0 for q.
1
Factor 2*o**3/7 + 16*o**2/7 + 32*o/7.
2*o*(o + 4)**2/7
Factor 4*h**3 + 124*h**2 + 1020*h + 900.
4*(h + 1)*(h + 15)**2
What is u in 3*u**5/4 + 1089*u**4/4 + 25110*u**3 + 72897*u**2 - 1080*u - 97200 = 0?
-180, -2, 1
Factor t**2/8 + 37*t/8 + 135/4.
(t + 10)*(t + 27)/8
What is a in 3*a**5/2 - 15*a**4 + 36*a**3 + 24*a**2 - 168*a + 144 = 0?
-2, 2, 6
Factor x**5/11 - 7*x**4 - 237*x**3/11 - 239*x**2/11 - 80*x/11.
x*(x - 80)*(x + 1)**3/11
Determine c so that 2*c**2/7 - 932*c/7 - 934/7 = 0.
-1, 467
Solve 15*b**5 - 140*b**4 - 285*b**3 + 110*b**2 = 0 for b.
-2, 0, 1/3, 11
Solve 5*m**3 + 145*m**2 = 0.
-29, 0
Let 6*u**3/7 - 832*u**2/7 + 550*u/7 + 276/7 = 0. What is u?
-1/3, 1, 138
Determine d so that -d**2/4 - 3*d/2 - 5/4 = 0.
-5, -1
Solve 2*h**4/3 - 22*h**3/3 + 64*h**2/3 - 56*h/3 = 0 for h.
0, 2, 7
Let 171*d**3 - 678*d**2 + 489*d + 18 = 0. Calculate d.
-2/57, 1, 3
Determine y so that y**4 - 139*y**3/4 - 19*y**2/2 + 105*y/4 = 0.
-1, 0, 3/4, 35
Determine f, given that 5*f**5 - 105*f**4 - 265*f**3 + 825*f**2 - 460*f = 0.
-4, 0, 1, 23
Factor 2*q**2/5 + 584*q/5 + 42632/5.
2*(q + 146)**2/5
Factor 4*j**2/5 + 388*j/5 - 392/5.
4*(j - 1)*(j + 98)/5
Factor 6*b**2/11 + 108*b/11 + 486/11.
6*(b + 9)**2/11
Determine p, given that p**2 + 11*p + 10 = 0.
-10, -1
Suppose 2*b**5/9 - 8*b**4/9 - 128*b**3/3 + 1568*b**2/9 - 1568*b/9 = 0. Calculate b.
-14, 0, 2, 14
Determine z so that -8*z**4 + 20*z**3 - 20*z + 8 = 0.
-1, 1/2, 1, 2
Suppose 19*t**2/6 + 343*t/6 + 3 = 0. Calculate t.
-18, -1/19
What is q in 4*q**3 - 60*q**2 + 192*q - 176 = 0?
2, 11
Determine m, given that 49*m**3 - 782*m**2 + 703*m + 30 = 0.
-2/49, 1, 15
Factor 49*w**3/2 + 3178*w**2 - 1819*w/2 + 65.
(w + 130)*(7*w - 1)**2/2
Let 10*m**4 - 982*m**3 + 24206*m**2 - 4802*m = 0. Calculate m.
0, 1/5, 49
Find u, given that 10*u**5/9 - 112*u**4/9 + 134*u**3/3 - 508*u**2/9 + 208*u/9 = 0.
0, 1, 4, 26/5
Factor -3*w**3 - 696*w**2 + 1401*w - 702.
-3*(w - 1)**2*(w + 234)
Solve w**2/4 - 275*w/4 + 273/2 = 0.
2, 273
Factor -p**4/8 + 849*p**3/2 - 2162403*p**2/4 + 611960049*p/2 - 519554081601/8.
-(p - 849)**4/8
Factor b**3/4 + 107*b**2/4.
b**2*(b + 107)/4
Factor -2*q**3 - 368*q**2 - 17290*q - 33124.
-2*(q + 2)*(q + 91)**2
Factor -5*o**5 - 80*o**4 - 305*o**3 - 310*o**2 + 260*o + 440.
-5*(o - 1)*(o + 2)**3*(o + 11)
Let 4*g**4/9 - 320*g**3/3 + 9600*g**2 - 384000*g + 5760000 = 0. Calculate g.
60
Solve a**2/6 - 10*a/3 + 32/3 = 0.
4, 16
Suppose 500*k**3 - 800*k**2 - 1855*k - 735 = 0. What is k?
-7/10, 3
Solve 8*u**2 + 908*u - 456 = 0.
-114, 1/2
Factor 2*s**3/7 + 8*s*