7 = 0. What is y?
-1, 1, 10
Determine a so that -2*a**2 - 64*a = 0.
-32, 0
Solve -3*z**3 - 84*z**2 - 780*z - 2400 = 0.
-10, -8
Determine u, given that 3*u**3 + 1683*u**2 + 245025*u + 2495625 = 0.
-275, -11
Factor 6*f**2 + 40*f/3 + 8/3.
2*(f + 2)*(9*f + 2)/3
Let -5*z**5 - 120*z**4 - 220*z**3 + 10*z**2 + 225*z + 110 = 0. What is z?
-22, -1, 1
Factor 2*p**3/9 + 280*p**2/9 + 542*p/3 + 268.
2*(p + 3)**2*(p + 134)/9
Determine i so that -2*i**2/9 - 1112*i/3 - 154568 = 0.
-834
Factor -y**3 - 23*y**2 + 268*y + 620.
-(y - 10)*(y + 2)*(y + 31)
Factor 4*l**4/3 - 4*l**3 - 64*l**2/3 - 16*l.
4*l*(l - 6)*(l + 1)*(l + 2)/3
Determine h, given that 2*h**4/11 - 152*h**3/11 + 2730*h**2/11 + 6084*h/11 = 0.
-2, 0, 39
Let 35*d**5 - 585*d**4 - 1115*d**3 + 5085*d**2 + 7200*d + 1620 = 0. What is d?
-3, -1, -2/7, 3, 18
Suppose 5*m**2/4 + 45*m/4 + 35/2 = 0. Calculate m.
-7, -2
Factor -3*f**4 + 54*f**3 - 51*f**2.
-3*f**2*(f - 17)*(f - 1)
What is g in 6*g**5/11 + 40*g**4/11 + 10*g**3/11 - 80*g**2/11 + 24*g/11 = 0?
-6, -2, 0, 1/3, 1
Let -3*b**3 - 48*b**2 = 0. What is b?
-16, 0
Factor -4*k**2 - 387*k + 97.
-(k + 97)*(4*k - 1)
Factor -2*a**4 - 88*a**3 - 84*a**2 + 88*a + 86.
-2*(a - 1)*(a + 1)**2*(a + 43)
Factor -5*i**2/3 + 121*i + 146/3.
-(i - 73)*(5*i + 2)/3
Solve 2*b**3/15 + 26*b**2/3 - 44*b/5 = 0.
-66, 0, 1
Suppose 4*o**2 - 128*o - 132 = 0. What is o?
-1, 33
Factor 2*r**2/15 + 42*r + 628/15.
2*(r + 1)*(r + 314)/15
Solve -3*c**5 - 108*c**4 - 1212*c**3 - 3942*c**2 + 1215*c + 4050 = 0 for c.
-15, -6, -1, 1
Let 20*w**3 + 148*w**2 - 376*w = 0. Calculate w.
-47/5, 0, 2
Factor 3*g**5/2 - 9*g**4/2 + 3*g**3 + 3*g**2 - 9*g/2 + 3/2.
3*(g - 1)**4*(g + 1)/2
Factor 3*q**2 - 1008*q + 84672.
3*(q - 168)**2
Factor -3*k**4 + 39*k**3 - 33*k**2 - 39*k + 36.
-3*(k - 12)*(k - 1)**2*(k + 1)
Factor -4*f**2 + 24*f - 20.
-4*(f - 5)*(f - 1)
Suppose 18*t**5/7 + 10*t**4/7 - 18*t**3/7 - 10*t**2/7 = 0. Calculate t.
-1, -5/9, 0, 1
Solve 3*j**3/5 - 21*j**2/5 + 42*j/5 - 24/5 = 0.
1, 2, 4
Let 2*b**4 + 3*b**3 + b**2 = 0. Calculate b.
-1, -1/2, 0
Find u, given that 8*u**2/11 - 138*u + 1134/11 = 0.
3/4, 189
Determine i so that 2*i**5/3 + 8*i**4/3 + 2*i**3/3 - 4*i**2 = 0.
-3, -2, 0, 1
Suppose 3*u**2 - 16878*u + 23738907 = 0. Calculate u.
2813
Factor p**2/5 + 144*p/5 + 143/5.
(p + 1)*(p + 143)/5
Determine c so that 2*c**5/3 - 22*c**4 + 832*c**3/3 - 4864*c**2/3 + 4096*c - 8192/3 = 0.
1, 8
Determine y, given that 2*y**2/11 + 12*y/11 - 14/11 = 0.
-7, 1
Determine a, given that -3*a**5/2 - 279*a**4/2 - 5121*a**3/2 + 62943*a**2/2 - 90576*a + 78030 = 0.
-51, 2, 5
Factor -3*r**3/2 - 111*r**2/2 - 624*r - 1920.
-3*(r + 5)*(r + 16)**2/2
Factor -7*q**2/2 - 15*q/2 - 1.
-(q + 2)*(7*q + 1)/2
Factor 32*t**3 + 1744*t**2 - 2670*t + 1008.
2*(t + 56)*(4*t - 3)**2
Factor -j**2/5 + 87*j/5 - 86/5.
-(j - 86)*(j - 1)/5
Suppose -2*t**3 + 12*t**2 - 10*t - 24 = 0. What is t?
-1, 3, 4
Find w, given that 5*w**2/7 + 26*w/7 = 0.
-26/5, 0
Factor -2*d**2/5 + 6*d - 88/5.
-2*(d - 11)*(d - 4)/5
Let -u**2/3 - 85*u = 0. What is u?
-255, 0
What is l in -39*l**4 + 60*l**3 + 36*l**2 = 0?
-6/13, 0, 2
Factor -7*x**2/2 + 383*x/2 + 55.
-(x - 55)*(7*x + 2)/2
Factor 2*w**5/3 - 16*w**4/3 + 50*w**3/3 - 76*w**2/3 + 56*w/3 - 16/3.
2*(w - 2)**3*(w - 1)**2/3
Factor -3*z**2 - 4728*z - 9444.
-3*(z + 2)*(z + 1574)
Suppose -15*h**3/4 - 3*h**2/2 + 15*h/4 + 3/2 = 0. Calculate h.
-1, -2/5, 1
Solve -i**5/3 - 82*i**4/3 - 1144*i**3/3 - 2000*i**2 - 4272*i - 3168 = 0 for i.
-66, -6, -2
Suppose g**5/7 - 9*g**4/7 + 5*g**3/7 + 129*g**2/7 - 342*g/7 + 216/7 = 0. What is g?
-4, 1, 3, 6
Suppose -2*g**2/5 + 194*g/5 + 196/5 = 0. Calculate g.
-1, 98
Factor -w**5/8 + 41*w**4/8.
-w**4*(w - 41)/8
Factor -2*p**2/13 - 8828*p/13 - 9741698/13.
-2*(p + 2207)**2/13
Find v, given that 4*v**5/5 + 68*v**4/5 + 57*v**3 + 236*v**2/5 + 11*v = 0.
-11, -5, -1/2, 0
Factor -4*r**2/7 + 16*r/7 - 12/7.
-4*(r - 3)*(r - 1)/7
Solve -5*o**2/3 + 100*o/3 - 500/3 = 0.
10
Solve d**2/6 + 688*d/3 + 1375/6 = 0.
-1375, -1
Solve 32*o**5/7 - 44*o**4/7 - 276*o**3/7 + 396*o**2/7 - 108*o/7 = 0.
-3, 0, 3/8, 1, 3
Suppose 5*b**4/4 + 105*b**3/4 - 115*b**2/2 = 0. Calculate b.
-23, 0, 2
Factor -4*w**2/5 + 348*w/5 - 5888/5.
-4*(w - 64)*(w - 23)/5
Find f such that 3*f**4 - 15*f**3 - 12*f**2 + 60*f = 0.
-2, 0, 2, 5
Factor 4*x**2 - 512*x + 1984.
4*(x - 124)*(x - 4)
Suppose -5*p**5 + 180*p**4 - 510*p**3 + 500*p**2 - 165*p = 0. Calculate p.
0, 1, 33
Factor -3*c**3 + 30*c**2 - 87*c + 60.
-3*(c - 5)*(c - 4)*(c - 1)
Let 4*k**2/9 - 2*k/9 - 20/9 = 0. Calculate k.
-2, 5/2
Factor w**4/2 + 31*w**3/2 - 99*w**2/2 + 101*w/2 - 17.
(w - 1)**3*(w + 34)/2
Factor -4*t**4/13 - 34*t**3/13 - 16*t**2/13.
-2*t**2*(t + 8)*(2*t + 1)/13
Suppose 56*n**4/15 + 218*n**3/15 - 102*n**2/5 + 22*n/15 + 2/3 = 0. What is n?
-5, -1/7, 1/4, 1
Factor -3*i**3/2 + 111*i**2/2 + 453*i/8 + 57/4.
-3*(i - 38)*(2*i + 1)**2/8
Determine r, given that -2*r**4 + 56*r**3 - 106*r**2 + 52*r = 0.
0, 1, 26
Let -2*s**2/5 + 22*s/5 - 12 = 0. Calculate s.
5, 6
Suppose q**5/11 + 8*q**4/11 + 17*q**3/11 + 10*q**2/11 = 0. What is q?
-5, -2, -1, 0
Suppose 20*g**3 + 268*g**2 - 168*g = 0. What is g?
-14, 0, 3/5
Factor -10*v**2/21 - 202*v/21 - 284/7.
-2*(v + 6)*(5*v + 71)/21
Let -n**2/10 + 12*n/5 - 72/5 = 0. Calculate n.
12
Find z such that z**2/8 - 25*z/2 + 92 = 0.
8, 92
Factor -o**5/5 - 937*o**4/5 - 329472*o**3/5 - 51580152*o**2/5 - 3049471152*o/5 - 2998219536/5.
-(o + 1)*(o + 234)**4/5
Determine r so that 2*r**2 - 826*r = 0.
0, 413
Find k such that 3*k**5 + 2616*k**4 + 567666*k**3 - 1143192*k**2 + 572907*k = 0.
-437, 0, 1
Find q such that -q**3/2 + 118*q**2 + 475*q/2 + 119 = 0.
-1, 238
Factor 5*p**2 + 605*p - 610.
5*(p - 1)*(p + 122)
Let 2*y**4/5 + 32*y**3/5 + 84*y**2/5 + 16*y + 26/5 = 0. Calculate y.
-13, -1
Find q, given that q**2/9 + 4*q/9 - 20/3 = 0.
-10, 6
Suppose -2*v**4/3 - 74*v**3/3 + 494*v**2/3 - 934*v/3 + 172 = 0. What is v?
-43, 1, 2, 3
Factor -z**2/9 - 4*z/9 + 5/9.
-(z - 1)*(z + 5)/9
Find k such that 3*k**2 + 102*k - 216 = 0.
-36, 2
Factor -18*m**2/11 - 28*m/11 - 10/11.
-2*(m + 1)*(9*m + 5)/11
Determine d, given that 3*d**3 - 33*d**2 = 0.
0, 11
Factor 2*k**5 + 38*k**4 + 204*k**3 + 472*k**2 + 496*k + 192.
2*(k + 1)*(k + 2)**3*(k + 12)
What is l in 4*l**4 + 8*l**3 - 20*l**2 - 24*l = 0?
-3, -1, 0, 2
Let -4*i**4/17 + 838*i**3/17 - 43680*i**2/17 - 22050*i/17 = 0. What is i?
-1/2, 0, 105
Determine j so that 2*j**3/3 - 4058*j**2/3 - 16256*j/3 - 16264/3 = 0.
-2, 2033
Factor -2*c**3/7 + 160*c**2/7 + 162*c/7.
-2*c*(c - 81)*(c + 1)/7
Find t such that -2*t**2/7 + 8*t/7 - 6/7 = 0.
1, 3
Factor -3*q**5/7 - 36*q**4/7 - 90*q**3/7 - 12*q**2 - 27*q/7.
-3*q*(q + 1)**3*(q + 9)/7
Factor -110*j**2 - 215*j + 10.
-5*(j + 2)*(22*j - 1)
Factor 3*i**2 - 558*i + 25947.
3*(i - 93)**2
What is r in r**4/4 + 3*r**3 + 27*r**2/2 + 27*r + 81/4 = 0?
-3
Let 9*m**3 - 192*m**2 + 57*m + 126 = 0. What is m?
-2/3, 1, 21
Let 4*v**4 - 4*v**3 - 168*v**2 - 128*v + 896 = 0. What is v?
-4, 2, 7
Find d such that -9*d**5/5 - 13*d**4/5 + 23*d**3/5 + 57*d**2/5 + 38*d/5 + 8/5 = 0.
-1, -4/9, 2
Suppose -q**3/5 - 274*q**2/5 + 551*q/5 - 276/5 = 0. Calculate q.
-276, 1
Factor -3*u**3/2 + 2262*u**2 + 9066*u + 9072.
-3*(u - 1512)*(u + 2)**2/2
Suppose b**5/4 - 2*b**3 + 3*b**2/2 + 7*b/4 - 3/2 = 0. What is b?
-3, -1, 1, 2
Factor r**2/2 - 127*r + 16129/2.
(r - 127)**2/2
Let 34*n**3/5 - 276*n**2/5 + 576*n/5 - 64/5 = 0. What is n?
2/17, 4
Solve 3*g**3/7 + 81*g**2/7 - 1296*g/7 + 4212/7 = 0.
-39, 6
Let -x**5/3 + x**4 - 2*x**3/3 = 0. What is x?
0, 1, 2
Factor 20*m**5 + 116*m**4 + 216*m**3 + 152*m**2 + 20*m - 12.
4*(m + 1)**3*(m + 3)*(5*m - 1)
Factor f**2 + 71*f - 146.
(f - 2)*(f + 73)
Factor -2*d**2/5 - 26*d/5 + 28/5.
-2*(d - 1)*(d + 14)/5
Factor -98*p**5 - 252*p**4 - 218*p**3 - 72*p**2 - 8*p.
-2*p*(p + 1)**2*(7*p + 2)**2
Factor 8*g**3/7 - 334*g**2/7 + 556*g/7 + 160/7.
2*(g - 40)*(g - 2)*(4*g + 1)/7
Let o**2/11 - 64*o/11 - 65/11 = 0. Calculate o.
-1, 65
Solve a**4/3 + 2*a**3/3 - 13*a**2 - 40*a/3 + 400/3 = 0.
-5, 4
Solve -8*p**5/3 + 12*p**4 + 920*p**3/3 + 1996*p**2/3 + 112*p - 784/3 = 0 for p.
-7, -2, -1, 1/2, 14
Factor -p**3/7 + 9*p**2 - 146*p + 960/7.
-(p - 32)*(p - 30)*(p - 1)/7
Determine d, given that -d**4 - 68*d**3/5 - 192*d**2/5 - 112*d/5 + 16 = 0.
-10, -2, 2/5
Factor -14*t**5/9 - 34*t**4/9 - 26*t**3/9 - 2*t**2/3.
-2*t**2*(t + 1)**2*(7*t + 3)/9
So