 + 2680*p.
4*p*(p + 670)
Suppose 2*v**5/15 - 4*v**4/3 + 16*v**3/5 - 44*v**2/15 + 14*v/15 = 0. Calculate v.
0, 1, 7
Let -m**5 - 14*m**4 + 61*m**3 + 170*m**2 = 0. What is m?
-17, -2, 0, 5
Let -z**2/7 + 22*z/7 - 120/7 = 0. What is z?
10, 12
Factor 2*i**3/7 - 12*i**2/7 + 18*i/7.
2*i*(i - 3)**2/7
Let -45*y**5 - 57*y**4 + 60*y**3 - 12*y**2 = 0. Calculate y.
-2, 0, 1/3, 2/5
Suppose -x**4 + 12*x**3 - 10*x**2 - 12*x + 11 = 0. What is x?
-1, 1, 11
Factor 3*g**2 - 51*g + 156.
3*(g - 13)*(g - 4)
Suppose -6*d**4/5 - 156*d**3/5 - 864*d**2/5 - 1284*d/5 - 114 = 0. Calculate d.
-19, -5, -1
Factor 21*k**4 + 78*k**3 - 24*k**2.
3*k**2*(k + 4)*(7*k - 2)
Factor 12*z**2 + 92*z + 120.
4*(z + 6)*(3*z + 5)
Suppose -2*w**2/5 - 664*w/5 - 55112/5 = 0. What is w?
-166
Suppose -5*x**4 + 40*x**3 - 65*x**2 + 30*x = 0. What is x?
0, 1, 6
Suppose 2*j**3 - 238*j**2/5 - 60*j = 0. What is j?
-6/5, 0, 25
Determine u, given that -u**4/7 + 13*u**3/7 + 7*u**2 - 13*u/7 - 48/7 = 0.
-3, -1, 1, 16
Let g**4 + 14*g**3 + 11*g**2 - 26*g = 0. What is g?
-13, -2, 0, 1
Factor 2*f**2/19 + 996*f/19 + 124002/19.
2*(f + 249)**2/19
Find m such that m**4/6 + m**3/2 - 5*m**2/6 - m/2 + 2/3 = 0.
-4, -1, 1
What is u in -18*u**4 + 162*u**3 - 436*u**2 + 320*u - 64 = 0?
1/3, 2/3, 4
Factor 3*p**3 - 180*p**2 + 2871*p - 5046.
3*(p - 29)**2*(p - 2)
Factor -3*o**4 + 12*o**2.
-3*o**2*(o - 2)*(o + 2)
Find r such that r**3/3 + 26*r**2/3 + 169*r/3 = 0.
-13, 0
Determine z, given that 117*z**2 - 12*z = 0.
0, 4/39
Solve 2*z**3/5 - 10*z**2 + 176*z/5 - 168/5 = 0.
2, 21
Factor 2*b**2/11 - 346*b/11 - 4836/11.
2*(b - 186)*(b + 13)/11
Suppose -3*a**3/2 + 159*a**2/2 - 759*a - 840 = 0. What is a?
-1, 14, 40
Let -2*u**3/7 + 11464*u**2/7 - 16439370*u/7 + 32832900/7 = 0. Calculate u.
2, 2865
Suppose -80*j**3 + 42520*j**2 + 21275*j + 2660 = 0. Calculate j.
-1/4, 532
Solve 3*u**3 + 33*u**2 - 195*u - 225 = 0.
-15, -1, 5
Find m, given that m**3 - 4*m = 0.
-2, 0, 2
Factor -m**4/7 + 134*m**3/7 - 5533*m**2/7 + 69948*m/7 - 272484/7.
-(m - 58)**2*(m - 9)**2/7
Factor 2*s**4 - 18*s**3 + 50*s**2 - 54*s + 20.
2*(s - 5)*(s - 2)*(s - 1)**2
Let 5*y**3 + 3435*y**2 + 588240*y - 591680 = 0. Calculate y.
-344, 1
Factor -3*k**5 + 15*k**4 - 24*k**3 + 12*k**2.
-3*k**2*(k - 2)**2*(k - 1)
Factor 5*l**5 + 10*l**4 - 15*l**3 - 40*l**2 - 20*l.
5*l*(l - 2)*(l + 1)**2*(l + 2)
Solve -2*g**3/11 - 118*g**2/11 - 1798*g/11 - 1682/11 = 0 for g.
-29, -1
Find p such that -p**5/4 - 213*p**4/4 - 11447*p**3/4 - 11023*p**2/4 + 2862*p + 2809 = 0.
-106, -1, 1
Factor q**3/2 + 9*q**2 - 151*q/2 - 84.
(q - 7)*(q + 1)*(q + 24)/2
Factor -x**2/4 + 3*x/2 + 18.
-(x - 12)*(x + 6)/4
Suppose -v**3/2 - 108*v**2 + 655*v/2 - 219 = 0. What is v?
-219, 1, 2
Suppose -2*s**5/3 + 28*s**4/3 + 32*s**3 + 100*s**2/3 + 34*s/3 = 0. What is s?
-1, 0, 17
Solve -4*f**5 - 88*f**4 + 1196*f**3 + 18480*f**2 - 176400*f = 0 for f.
-21, 0, 10
Suppose 2*j**2/3 + 820*j/3 + 84050/3 = 0. Calculate j.
-205
Factor -5*v**4 - 24*v**3 + 18*v**2 + 56*v - 45.
-(v - 1)**2*(v + 5)*(5*v + 9)
Factor 2*p**2 - 152*p + 296.
2*(p - 74)*(p - 2)
Determine i, given that -i**2/3 + 80*i/3 - 1600/3 = 0.
40
Factor 2*z**3 - 6592*z**2 + 5431808*z.
2*z*(z - 1648)**2
Let 3*a**4 - 135*a**3 + 729*a**2 - 1053*a = 0. Calculate a.
0, 3, 39
What is n in -15*n**5 + 125*n**4/3 + 55*n**3 - 95*n**2 - 340*n/3 - 20 = 0?
-1, -2/9, 2, 3
Suppose 3*z**4/5 - 327*z**3/5 + 1749*z**2 + 1815*z = 0. What is z?
-1, 0, 55
What is s in 2*s**2/3 + 52*s/3 = 0?
-26, 0
Factor -r**2/5 - 111*r/5 + 112/5.
-(r - 1)*(r + 112)/5
What is x in 6*x**4/5 - 21*x**3/5 - 21*x**2 + 237*x/5 + 63 = 0?
-7/2, -1, 3, 5
Suppose k**4/11 - 2*k**3/11 - 9*k**2/11 + 2*k/11 + 8/11 = 0. Calculate k.
-2, -1, 1, 4
Find j, given that 3*j**4 + 66*j**3 - 564*j**2 + 1278*j - 783 = 0.
-29, 1, 3
Factor -l**5/6 + 8*l**4/3 - 44*l**3/3 + 32*l**2 - 24*l.
-l*(l - 6)**2*(l - 2)**2/6
What is c in -5*c**2 + 260*c - 1575 = 0?
7, 45
Factor -5*k**3/6 - 2*k**2 + 13*k/2 - 11/3.
-(k - 1)**2*(5*k + 22)/6
Factor -q**3/3 - 368*q**2/3 + 745*q - 1122.
-(q - 3)**2*(q + 374)/3
What is o in 4*o**4 - 288*o**3/7 + 948*o**2/7 - 1088*o/7 + 240/7 = 0?
2/7, 2, 3, 5
Let 2*v**2/5 - 2*v/5 = 0. What is v?
0, 1
Suppose 6*m**3 + 244*m**2 + 158*m - 80 = 0. Calculate m.
-40, -1, 1/3
Factor 5*o**3 - 60*o**2 + 135*o + 200.
5*(o - 8)*(o - 5)*(o + 1)
Suppose 3*z**3 + 180*z**2 + 843*z + 990 = 0. What is z?
-55, -3, -2
Solve -4*f**3 - 60*f**2 + 288*f + 1296 = 0 for f.
-18, -3, 6
Determine r, given that 2*r**3 - 188*r**2 + 4018*r + 19208 = 0.
-4, 49
Factor 3*a**2 + 4878*a + 1982907.
3*(a + 813)**2
What is w in -4*w**4 - 16*w**3 + 20*w**2 = 0?
-5, 0, 1
Let 2*m**2/9 - 3470*m/9 + 1156/3 = 0. Calculate m.
1, 1734
Suppose 2*x**5 - 46*x**3 + 36*x**2 + 80*x = 0. Calculate x.
-5, -1, 0, 2, 4
Factor 3*t**2/5 - 213*t/5 - 216/5.
3*(t - 72)*(t + 1)/5
Determine o so that 2*o**3/7 + 18*o**2/7 + 30*o/7 + 2 = 0.
-7, -1
Determine l so that -27*l**4 + 183*l**3 - 120*l**2 - 36*l = 0.
-2/9, 0, 1, 6
Solve -z**5/2 - 11*z**4 - 57*z**3 + 74*z**2 + 715*z/2 - 363 = 0.
-11, -3, 1, 2
Let 8*j**2/3 - 584*j/3 + 10658/3 = 0. Calculate j.
73/2
Let 5*a**3 - 960*a**2 + 61440*a - 1310720 = 0. What is a?
64
Determine w so that 4*w**3/3 + 8*w**2/3 - 4*w/3 - 8/3 = 0.
-2, -1, 1
Factor -z**3/5 - 159*z**2/5 - 1248*z + 1280.
-(z - 1)*(z + 80)**2/5
Factor 3*c**2 + 384*c - 387.
3*(c - 1)*(c + 129)
Let -4*z**3/3 - 2084*z**2/3 + 8384*z/3 - 2800 = 0. Calculate z.
-525, 2
Factor -5*j**2 - 55*j - 90.
-5*(j + 2)*(j + 9)
Factor -27*l**2/2 - 57*l - 12.
-3*(l + 4)*(9*l + 2)/2
Let -a**5 - 23*a**4/4 - 19*a**3/2 - 13*a**2/4 + 3*a/2 = 0. Calculate a.
-3, -2, -1, 0, 1/4
Solve 2*a**4/5 - 24*a**3/5 + 94*a**2/5 - 24*a = 0 for a.
0, 3, 4, 5
Suppose -5*y**2/4 + 565*y/4 + 585 = 0. Calculate y.
-4, 117
Suppose -4*g**4/7 - 228*g**3/7 + 232*g**2/7 = 0. Calculate g.
-58, 0, 1
Solve -2*x**5/9 - 2*x**4/9 + 10*x**3/3 - 46*x**2/9 + 20*x/9 = 0 for x.
-5, 0, 1, 2
Factor 5*h**4 + 405*h**3 - 1280*h**2 - 1680*h.
5*h*(h - 4)*(h + 1)*(h + 84)
Suppose -c**4/5 - 11*c**3/5 + 56*c**2/5 - 12*c = 0. Calculate c.
-15, 0, 2
Factor d**5 + d**4 - 6*d**3.
d**3*(d - 2)*(d + 3)
Find c such that c**2/5 - 299*c/5 - 60 = 0.
-1, 300
Solve y**2 - 14*y + 40 = 0.
4, 10
Find h such that -h**4/4 + 7*h**3/2 + 31*h**2/4 + 4*h = 0.
-1, 0, 16
Suppose -3*l**4/7 + 327*l**3/7 - 3021*l**2/7 + 5073*l/7 - 2376/7 = 0. What is l?
1, 8, 99
Solve -5*a**4 - 105*a**3 - 615*a**2 - 775*a + 1500 = 0.
-12, -5, 1
Factor 3*p**2/7 + 48*p/7 + 144/7.
3*(p + 4)*(p + 12)/7
Factor -8*p**2 - 98*p + 330.
-2*(p + 15)*(4*p - 11)
Let -7*v**5/2 - 23*v**4/2 + 124*v**3 - 188*v**2 - 88*v + 232 = 0. Calculate v.
-58/7, -1, 2
Factor -3*k**2/5 + 3*k/5 + 12.
-3*(k - 5)*(k + 4)/5
Factor 2*c**3/13 - 18*c**2/13 + 12*c/13 + 32/13.
2*(c - 8)*(c - 2)*(c + 1)/13
Find c, given that -13*c**3/2 - 188*c**2 - 1024*c + 5120 = 0.
-16, 40/13
Factor a**2/3 - a/3 - 24.
(a - 9)*(a + 8)/3
Factor 12*d**2 + 1012*d + 336.
4*(d + 84)*(3*d + 1)
Suppose -o**2/5 + 31*o/5 - 58/5 = 0. What is o?
2, 29
Factor 672*c**2 + 2020*c + 12.
4*(c + 3)*(168*c + 1)
Factor v**3 - 606*v**2 - 1219*v + 1824.
(v - 608)*(v - 1)*(v + 3)
Factor -2*k**2/15 - 128*k/15 + 88/5.
-2*(k - 2)*(k + 66)/15
Factor 5*y**4/4 + 65*y**3/4 - 5*y**2/4 - 65*y/4.
5*y*(y - 1)*(y + 1)*(y + 13)/4
Let 4*x**3 - 19188*x**2 + 30681612*x - 16353299196 = 0. Calculate x.
1599
Factor -27*l**2 - 3*l.
-3*l*(9*l + 1)
Find r, given that r**4/5 + 27*r**3/5 - 1518*r**2/5 + 11456*r/5 + 29184/5 = 0.
-57, -2, 16
Find c, given that -12*c**4 - 564*c**3 - 8679*c**2 - 48222*c - 87723 = 0.
-19, -9/2
Solve 5*y**4 + 55*y**3 - 50*y**2 - 1120*y + 1920 = 0 for y.
-8, 2, 3
Find y, given that 3*y**4/5 + 30*y**3 - 9*y**2/5 - 444*y/5 + 60 = 0.
-50, -2, 1
Solve 11*r**2 + 318*r - 360 = 0.
-30, 12/11
Find q, given that -5*q**4 + 6390*q**3 - 2035205*q**2 - 4089600*q - 2048000 = 0.
-1, 640
Factor 139445*u**2 + 1670*u + 5.
5*(167*u + 1)**2
Factor -h**3 + 11*h**2 + 12*h.
-h*(h - 12)*(h + 1)
Factor 3*h**3/7 + 2890*h**2/7 - 689*h + 1930/7.
(h - 1)*(h + 965)*(3*h - 2)/7
Determine g, given that -4*g**4 + 48*g**3 + 128*g**2 - 192*g - 448 = 0.
-2, 2, 14
What is f in -5*f**2 - 2445*f + 2450 = 0?
-490, 1
Factor 3*m**2 + 3483*m.
3*m*(m + 1161)
Find q, given that 5*q**3 - 33*q**2 - 864*q - 340 = 0.
-10, -2/5, 17
Factor -z**2 - 1424*z - 1423.
-(z + 1)*(z + 1423)
Factor -3*y**4 + 66*y**3 + 300*y**