
-2, 0, 1, 15/7
Solve 4*m**2 - 44*m - 48 = 0 for m.
-1, 12
Determine h, given that -5*h**2 - 250*h - 1505 = 0.
-43, -7
Determine h, given that -21*h**3/5 + 2787*h**2/5 - 1974*h/5 - 792/5 = 0.
-2/7, 1, 132
Let -8*l**5/13 - 498*l**4/13 - 1076*l**3/13 + 258*l**2/13 + 1084*l/13 + 240/13 = 0. Calculate l.
-60, -2, -1, -1/4, 1
Factor 5*w**2 - 225*w + 630.
5*(w - 42)*(w - 3)
Factor 50*x**2/7 + 54*x/7 + 4/7.
2*(x + 1)*(25*x + 2)/7
Factor -10*x**4/7 + 36*x**3/7 - 24*x**2/7 - 16*x/7.
-2*x*(x - 2)**2*(5*x + 2)/7
Find f such that 2*f**4/9 - 58*f**3/9 - 194*f**2/9 + 58*f/9 + 64/3 = 0.
-3, -1, 1, 32
What is m in -m**2 - 7*m + 8 = 0?
-8, 1
Factor -4*y**2 - 1040*y - 67600.
-4*(y + 130)**2
Solve -7*f**3/4 + 111*f**2/2 - 153*f/4 - 31/2 = 0.
-2/7, 1, 31
What is r in 675*r**4 - 1935*r**3 + 1083*r**2 + 171*r + 6 = 0?
-1/15, 1, 2
What is x in 4*x**2 - 8484*x + 8480 = 0?
1, 2120
Determine h, given that -h**3/2 - 291*h**2/2 - 10512*h + 10658 = 0.
-146, 1
Solve -34*b**2/3 - 28*b/3 + 2 = 0 for b.
-1, 3/17
Suppose 4*n**3/5 + 52*n**2/5 - 308*n/5 - 4356/5 = 0. Calculate n.
-11, 9
Suppose k**3 + 97*k**2 - 625*k - 721 = 0. What is k?
-103, -1, 7
Let 10*f**3 + 5*f**2 - 20*f - 15 = 0. Calculate f.
-1, 3/2
Factor 5*o**3 - 150*o**2 + 1125*o.
5*o*(o - 15)**2
Find u such that 20*u**4 + 35*u**3 - 30*u**2 - 35*u + 10 = 0.
-2, -1, 1/4, 1
Determine a so that -2*a**5 - 20*a**4 + 46*a**3 - 24*a**2 = 0.
-12, 0, 1
Solve -2*q**3/17 + 2094*q**2/17 - 2092*q/17 = 0.
0, 1, 1046
Factor -4*s**3 - 656*s**2 + 1324*s - 664.
-4*(s - 1)**2*(s + 166)
Suppose -4*i**3 - 56*i**2 - 141*i - 99 = 0. What is i?
-11, -3/2
Let -5*i**4 + 85*i**3 + 15*i**2 - 265*i + 170 = 0. What is i?
-2, 1, 17
Find g, given that -g**3/2 - 136*g**2 + 275*g/2 + 273 = 0.
-273, -1, 2
Suppose 9*p**5 - 30*p**4 - 6*p**3 + 48*p**2 - 3*p - 18 = 0. What is p?
-1, -2/3, 1, 3
Let -3*f**2 + 198*f + 1065 = 0. Calculate f.
-5, 71
Find r, given that r**3/2 - 31*r**2/2 + 255*r/2 - 225/2 = 0.
1, 15
Factor -11*d**3/5 - 87*d**2/5 - 69*d/5 + 7/5.
-(d + 1)*(d + 7)*(11*d - 1)/5
Determine l so that -2*l**2 + 1160*l - 168200 = 0.
290
Let -4*b**2 + 11024*b = 0. Calculate b.
0, 2756
What is s in 2*s**3 + 66*s**2 + 64*s = 0?
-32, -1, 0
Let -2*u**5/17 - 6*u**4/17 - 2*u**3/17 + 6*u**2/17 + 4*u/17 = 0. What is u?
-2, -1, 0, 1
Factor 30*u**3/7 + 3*u**2/7.
3*u**2*(10*u + 1)/7
Solve 8*s**4/5 + 108*s**3/5 - 176*s**2/5 + 12*s = 0 for s.
-15, 0, 1/2, 1
Solve 2*r**4 + 162*r**3 + 160*r**2 = 0.
-80, -1, 0
Solve -5*q**3 - 5*q**2 + 380*q - 700 = 0.
-10, 2, 7
What is b in b**5 - 4*b**3 + 2*b**2 + 3*b - 2 = 0?
-2, -1, 1
Factor -3*m**4 - 12*m**3 + 9*m**2 + 30*m - 24.
-3*(m - 1)**2*(m + 2)*(m + 4)
Find m such that m**3/2 - 2427*m**2/2 + 1963443*m/2 - 529475129/2 = 0.
809
Factor -3*l**5 + 18*l**4 + 18*l**3 - 132*l**2 + 153*l - 54.
-3*(l - 6)*(l - 1)**3*(l + 3)
Factor -10*z**3 - 245*z**2 + 400*z + 260.
-5*(z - 2)*(z + 26)*(2*z + 1)
Solve 4*u**4/3 + 140*u**3/3 + 192*u**2 - 240*u = 0.
-30, -6, 0, 1
Factor -2*u**3/7 - 2*u**2/7 + 108*u/7 + 288/7.
-2*(u - 8)*(u + 3)*(u + 6)/7
Factor -o**4/3 - 45*o**3.
-o**3*(o + 135)/3
Determine n, given that -2*n**3/17 + 836*n**2/17 - 87362*n/17 = 0.
0, 209
Determine n so that n**2 - n - 2 = 0.
-1, 2
Suppose 2*m**4/17 - 700*m**3/17 + 2082*m**2/17 + 8*m/17 - 2776/17 = 0. Calculate m.
-1, 2, 347
Solve a**4 - 2*a**3 + 2*a - 1 = 0 for a.
-1, 1
Suppose 3*y**4 + 80*y**3 + 196*y**2 + 96*y = 0. What is y?
-24, -2, -2/3, 0
Suppose -y**5/10 - 11*y**4/10 - y**3 = 0. Calculate y.
-10, -1, 0
Factor 2*p**5/5 - 72*p**4/5 + 776*p**3/5 - 2304*p**2/5 + 2048*p/5.
2*p*(p - 16)**2*(p - 2)**2/5
Find f, given that f**5/2 + 3*f**4/2 - 9*f**3 + 2*f**2 + 12*f = 0.
-6, -1, 0, 2
Suppose -2*t**4 + 2*t**3 + 56*t**2 - 32*t - 384 = 0. What is t?
-4, -3, 4
Factor -8*s**3 - 1350*s**2 + 3074*s - 684.
-2*(s - 2)*(s + 171)*(4*s - 1)
Factor -3*s**3/4 - 3*s**2 + 21*s/4 + 15/2.
-3*(s - 2)*(s + 1)*(s + 5)/4
Let -4*l**5/3 - 2656*l**4/3 - 884*l**3 = 0. Calculate l.
-663, -1, 0
Determine g, given that 2*g**5/7 - 54*g**4/7 + 38*g**3 + 702*g**2/7 + 380*g/7 = 0.
-1, 0, 10, 19
Factor -4*z**2 - 132*z + 3952.
-4*(z - 19)*(z + 52)
Factor -32*k**3 + 76*k**2 + 232*k - 96.
-4*(k - 4)*(k + 2)*(8*k - 3)
Factor 2*q**2 - 26*q - 136.
2*(q - 17)*(q + 4)
Factor -3*u**3 - 1416*u**2 - 167088*u.
-3*u*(u + 236)**2
Solve -r**3/2 + 18*r**2 + 615*r/2 + 539 = 0 for r.
-11, -2, 49
Solve r**2/7 + 250*r/7 + 15625/7 = 0.
-125
Find h, given that -h**5/4 + 33*h**4/4 + 225*h**3/4 + 351*h**2/4 = 0.
-3, 0, 39
Factor -n**3/5 + 96*n**2/5 - 281*n/5 + 186/5.
-(n - 93)*(n - 2)*(n - 1)/5
Factor -5*r**4 + 10*r**3 + 40*r**2.
-5*r**2*(r - 4)*(r + 2)
Solve -4*l**2 - 148*l - 1200 = 0.
-25, -12
Factor -4*d**2 + 556*d + 1128.
-4*(d - 141)*(d + 2)
Solve -128*n**4/11 + 864*n**3/11 - 1234*n**2/11 + 588*n/11 - 90/11 = 0.
3/8, 1, 5
Factor 2*d**2 - 46*d - 100.
2*(d - 25)*(d + 2)
Factor s**2 - 136*s - 137.
(s - 137)*(s + 1)
Find o, given that -o**3 - 102*o**2 + 207*o - 104 = 0.
-104, 1
Find h, given that -32*h**3/5 + 1712*h**2/5 - 170*h + 106/5 = 0.
1/4, 53
Solve 128*x**4/7 + 3040*x**3/7 + 14306*x**2/7 - 44460*x/7 + 27378/7 = 0 for x.
-13, 9/8
Determine n so that 16*n**4/7 + 1348*n**3/7 + 48*n**2 = 0.
-84, -1/4, 0
Factor -72*o**2 + 264*o - 242.
-2*(6*o - 11)**2
Factor -2*t**2/7 - 268*t/7 - 8978/7.
-2*(t + 67)**2/7
Determine j, given that -3*j**5/7 + 3*j**4 - 54*j**3/7 + 60*j**2/7 - 24*j/7 = 0.
0, 1, 2
Factor 3*b**2 - 2265*b/2 + 1131/2.
3*(b - 377)*(2*b - 1)/2
Factor 3*l**2/7 + 7215*l/7 + 14418/7.
3*(l + 2)*(l + 2403)/7
Suppose -3*y**2 + 399*y + 810 = 0. What is y?
-2, 135
Factor -5*t**4 - 20*t**3 + 125*t**2 + 140*t.
-5*t*(t - 4)*(t + 1)*(t + 7)
Suppose -4*x**5 + 104*x**4 - 736*x**3 + 384*x**2 + 4608*x = 0. Calculate x.
-2, 0, 4, 12
Factor -k**2/5 - k/5 + 4.
-(k - 4)*(k + 5)/5
Let -2*j**5/5 + 302*j**4/5 - 12382*j**3/5 + 72274*j**2/5 + 12384*j/5 - 72576/5 = 0. What is j?
-1, 1, 7, 72
Determine b so that 2*b**3 - 6206*b**2 + 4823600*b - 14415000 = 0.
3, 1550
What is y in -8*y**3/23 - 80*y**2/23 + 2550*y/23 - 11250/23 = 0?
-25, 15/2
Factor -2*u**5 - 604*u**4 + 1824*u**3 - 1828*u**2 + 610*u.
-2*u*(u - 1)**3*(u + 305)
Find n such that n**2/7 - 4534*n/7 + 5139289/7 = 0.
2267
What is k in -4*k**2 - 2680*k + 2684 = 0?
-671, 1
Factor 3*y**3 - 107*y**2 - 147*y - 37.
(y - 37)*(y + 1)*(3*y + 1)
Factor z**5/3 - 23*z**4/3 - 2*z**3 + 146*z**2/3 - 187*z/3 + 23.
(z - 23)*(z - 1)**3*(z + 3)/3
Suppose -3*y**3 - 57*y**2 + 3*y + 57 = 0. Calculate y.
-19, -1, 1
Find u, given that 8*u**2/19 - 5090*u/19 - 3822/19 = 0.
-3/4, 637
Factor 17*j**2 + j.
j*(17*j + 1)
What is r in 15*r**5 + 39*r**4 - 63*r**3 - 147*r**2 - 24*r + 36 = 0?
-3, -1, 2/5, 2
Factor -u**2 + 2028*u - 1028196.
-(u - 1014)**2
Factor 24*g**4/7 + 6*g**3 + 18*g**2/7.
6*g**2*(g + 1)*(4*g + 3)/7
Solve -5*j**4/6 - 55*j**3/6 + 65*j**2/2 - 205*j/6 + 35/3 = 0.
-14, 1
Suppose -w**2 + 439*w - 438 = 0. What is w?
1, 438
Let v**5/9 + 4*v**4/9 - 2*v**3/9 - 4*v**2/3 + v = 0. What is v?
-3, 0, 1
Let 5*s**2 - 660*s + 21780 = 0. What is s?
66
Suppose v**3/3 - 605*v**2/3 - 1213*v/3 - 607/3 = 0. Calculate v.
-1, 607
Factor 4*y**3 + 20*y**2 + 16*y.
4*y*(y + 1)*(y + 4)
Factor -b**2/3 + 85*b/3.
-b*(b - 85)/3
Determine j so that -j**2 + 1780*j - 792100 = 0.
890
Factor -2*i**4/7 - 50*i**3/7.
-2*i**3*(i + 25)/7
Factor -2*a**4 - 18*a**3 - 30*a**2 - 14*a.
-2*a*(a + 1)**2*(a + 7)
Suppose 2*x**2/11 - 1116*x/11 + 155682/11 = 0. What is x?
279
Factor 28*y**4 - 384*y**3 + 1708*y**2 - 2280*y - 800.
4*(y - 5)**2*(y - 4)*(7*y + 2)
Factor -4*s**4 + 92*s**3 + 4*s**2 - 92*s.
-4*s*(s - 23)*(s - 1)*(s + 1)
Determine i so that -2*i**2/17 - 22*i/17 - 60/17 = 0.
-6, -5
Factor b**2 - 17*b + 16.
(b - 16)*(b - 1)
Factor 1955*b**4 + 5880*b**3 + 5910*b**2 + 2000*b + 15.
5*(b + 1)**3*(391*b + 3)
Find u, given that -5*u**5 - 15*u**4 + 30*u**3 + 40*u**2 = 0.
-4, -1, 0, 2
Factor 15*i**3 + 130*i**2 + 185*i + 70.
5*(i + 1)*(i + 7)*(3*i + 2)
Factor 2*s**4/7 - 180*s**3/7 + 688*s**2/7.
2*s**2*(s - 86)*(s - 4)/7
Factor -d**3/8 - d**2 - 21*d/8 - 9/4.
-(d + 2)*(d + 3)**2/8
Factor -4*y**3 + 24*y**2 + 108*y.
-4*y*(y - 9)*(y + 3)
Determine a so that -2*a**4/5 - 166*a**3/5 - 3526*a**2/5 - 3362*a/5 = 0.
-41, -1, 0
What is g in 15*g**5 - 291*g**4 + 114*g**3 = 0?
0, 2/5, 19
Factor -4*a**2 - 64*a + 228.
-4*(a - 3)*(a + 19)
Suppose -m**5 + 16*m**4 - 63*m**3 - 16*m