 - 6/5*o**5. Suppose q(v) = 0. Calculate v.
-2, -1, 0, 1
Let l(h) = 4*h**2 + 9*h - 1. Let k(a) = a**2 - 7*a + 5. Let n be k(7). Let r(f) = 8*f**2 + 17*f - 1. Let o(z) = n*l(z) - 3*r(z). Factor o(d).
-2*(d + 1)*(2*d + 1)
Suppose 92/5*m - 826/5*m**2 - 486*m**4 - 54/5*m**5 + 0 + 2466/5*m**3 = 0. What is m?
-46, 0, 1/3
Factor 19*q - 5*q - 2*q**3 + 2*q - 18*q + 4*q**2.
-2*q*(q - 1)**2
Determine r, given that 0 + 32/3*r**4 + 2/9*r**5 + 736/3*r**2 + 1244/9*r**3 + 1058/9*r = 0.
-23, -1, 0
Let u(g) = g**2 - 16*g - 34. Let r be u(18). Let -2/5*k**r - 2/5*k + 0 = 0. Calculate k.
-1, 0
Let n(z) be the first derivative of z**6/72 - z**5/6 + 5*z**4/6 + 11*z**3/3 - 13. Let b(h) be the third derivative of n(h). Factor b(d).
5*(d - 2)**2
Factor -19 - 59/6*x - 1/6*x**2.
-(x + 2)*(x + 57)/6
Factor -8/11*i**3 + 24/11*i + 18/11 + 2/11*i**4 - 4/11*i**2.
2*(i - 3)**2*(i + 1)**2/11
Suppose -3*x = -x + k - 22, -5*k = -10. Suppose -12*p - 10 = -x. Factor 0 + 1/2*g**3 + p*g + g**2 - 1/2*g**4.
-g**2*(g - 2)*(g + 1)/2
Let z(n) = n**2 + 530*n + 4693. Let b be z(-9). Solve 4/3*y**4 - 8/3 - b*y**2 - 20/3*y + 4/3*y**3 = 0.
-1, 2
Find t, given that -1089*t**5 + 0 - 23*t**2 - 793/4*t**3 - 759*t**4 - t = 0.
-2/11, -1/6, 0
Let v(x) = x**3 + 11*x**2 - 10*x + 24. Let g be v(-12). Suppose 2*n = k - 0*n + 2, -3*k + 4*n - 4 = g. Factor 0*m**2 + 0 - 1/3*m**5 - 2/3*m**4 - 1/3*m**3 + k*m.
-m**3*(m + 1)**2/3
Suppose 4*d - 15 = 5*w, -4*d = -0*w + 3*w + 9. Let g be 3 + 1/(1/9*w). Suppose g + 0*b - 3/5*b**2 = 0. Calculate b.
0
Let j(s) = s**3 + 10*s**2 + 8*s - 2. Let u be j(-6). Let g = 191/2 - u. Factor 0 + g*o**3 - 1/2*o**4 - o**2 + 0*o.
-o**2*(o - 2)*(o - 1)/2
Suppose 2*r - 14 = -2*k, -4*r + 4*k + 6 = 18. Let l(i) be the first derivative of -5/3*i**3 + 7/2*i**2 - 8 - r*i. Solve l(w) = 0.
2/5, 1
Let m(o) be the first derivative of -5*o**2/2 - 62*o + 92. Let z be m(-13). Solve -8*u**2 + 0 - 8/5*u - 10*u**z = 0 for u.
-2/5, 0
Let t(k) be the third derivative of 0*k**4 - 12*k**2 + 0*k - 1/84*k**8 + 0*k**3 + 0*k**5 - 2/35*k**7 + 0 - 1/15*k**6. Factor t(x).
-4*x**3*(x + 1)*(x + 2)
Let x = -986 - -986. Let w(b) be the third derivative of 0 - 7*b**2 + x*b**3 - 1/270*b**5 + 0*b + 1/36*b**4. Factor w(k).
-2*k*(k - 3)/9
Suppose 0 = -62*h + 1709 - 1709. Let v(x) = -x**2 + 4*x - 2. Let j be v(2). Find l such that h*l + 0 - 2/7*l**j - 2/7*l**3 = 0.
-1, 0
Let o(j) be the first derivative of -j**4/8 + 7*j**3/2 - 5*j**2 + 632. Factor o(b).
-b*(b - 20)*(b - 1)/2
Factor -4*t**2 + 4432*t + t**2 + 0*t**2 - 4357*t + 78.
-3*(t - 26)*(t + 1)
Let y(p) be the third derivative of 0*p - 7/108*p**4 - 1/216*p**8 + 7/270*p**6 - 2/945*p**7 + 14*p**2 + 0 + 2/135*p**5 - 2/27*p**3. Let y(r) = 0. What is r?
-1, -2/7, 1
Let l be 1/(3 + (-214)/72). Let a be l*((-27)/(-6) + -4). Factor a - 10*y**2 - 6*y - 3*y**3 + 3*y + y**3 - 3*y.
-2*(y - 1)*(y + 3)**2
Factor 1/3 - 1/6*b**4 + 1/2*b - 1/2*b**3 - 1/6*b**2.
-(b - 1)*(b + 1)**2*(b + 2)/6
Let l = 37448/29099 - 5/4157. Factor -3/7*r**2 + 12/7*r - l.
-3*(r - 3)*(r - 1)/7
Let n be (-6)/(-8)*(-12)/(-18). Let g be -1 + 8 - 10*(-5)/(-10). Factor 1/2 - d**g + 1/2*d + n*d**4 + 1/2*d**5 - d**3.
(d - 1)**2*(d + 1)**3/2
Let i be (19 + (-315)/18)/(18/16). Determine f so that f**3 - 3/2 + 1/6*f**4 - f + i*f**2 = 0.
-3, -1, 1
Factor 2/9*p**2 + 20/3 - 22/9*p.
2*(p - 6)*(p - 5)/9
Factor -92*q - 4*q**3 - q**2 + 64 + 8*q**2 + 45*q**2 - 20.
-4*(q - 11)*(q - 1)**2
Let q(c) = 3*c**2 - 75*c + 507. Let s(w) = 5*w**2 - 151*w + 1014. Let f(y) = -y**2. Let p(n) = f(n) - s(n). Let o(u) = 3*p(u) + 5*q(u). Factor o(j).
-3*(j - 13)**2
Let x(u) be the first derivative of 5*u**6/2 - 4*u**5 - 10*u**4 + 30*u**3 - 55*u**2/2 + 10*u - 75. Let x(t) = 0. Calculate t.
-2, 1/3, 1
Let q(s) = -4*s**2 + 4*s. Let o(b) be the first derivative of 5*b**3/3 - 5*b**2/2 + 18. Let g(r) = -5*o(r) - 6*q(r). Factor g(h).
-h*(h - 1)
Let b = -11786/11 + 1072. Find n, given that 0*n - b*n**5 - 18/11*n**3 - 18/11*n**4 - 6/11*n**2 + 0 = 0.
-1, 0
Let 4*g**2 - 52*g**5 + 180 - 180 - 6*g**3 + 54*g**5 = 0. What is g?
-2, 0, 1
Let x = -626 - -630. Let m(a) be the second derivative of -2*a - 2*a**2 + 0 - 1/12*a**x + 2/3*a**3. Factor m(f).
-(f - 2)**2
Let i(v) = 13*v**3 - 16*v**2 - 29*v. Let u(d) = 28*d**3 - 31*d**2 - 59*d. Let a(y) = 9*i(y) - 4*u(y). Factor a(f).
5*f*(f - 5)*(f + 1)
Let f(o) be the second derivative of 7*o**6/180 + o**5/120 - 7*o**4/24 + 11*o**3/36 + o**2/6 - 2*o + 5. Factor f(z).
(z - 1)**2*(z + 2)*(7*z + 1)/6
Let s(t) = 24*t**4 + 88*t**3 - 92*t - 28. Let y(v) = v**4 + v**3 - v**2 + 1. Let n(a) = -s(a) - 4*y(a). Solve n(i) = 0.
-3, -1, -2/7, 1
Let f(y) be the third derivative of -y**6/40 - 29*y**5/20 - 28*y**4 - 98*y**3 + 61*y**2. Solve f(z) = 0 for z.
-14, -1
Let k(p) be the third derivative of -p**7/1260 + p**6/720 + p**5/120 - 5*p**4/144 + p**3/18 + 711*p**2. Factor k(d).
-(d - 1)**3*(d + 2)/6
Let w = 2048 + -2046. Let x be 1 - 3/(-15)*-1. Let 2/5*m**w + 0 + x*m = 0. What is m?
-2, 0
Let c(u) be the first derivative of -u**6/3 + 2*u**4 - 4*u**3/3 - 3*u**2 + 4*u + 95. Find p, given that c(p) = 0.
-2, -1, 1
Let t(w) = -w**3 - 10*w**2 + 27*w + 337. Let v be t(-7). Factor -1/5*f**2 + 6/5*f - v.
-(f - 5)*(f - 1)/5
Factor -131/4*w**2 + 7/4*w**3 + 0 - 19/2*w.
w*(w - 19)*(7*w + 2)/4
Suppose -4*t - 119 = -5*b, 5*b = -0*t + t + 131. Determine y so that 4*y**2 + 158 + 241 + 69*y + 177 + b*y = 0.
-12
Factor -1/7*c**2 + 2/7*c - 1/7.
-(c - 1)**2/7
Let o = 139 - 137. Factor -4*b**2 - 8*b - 10 - 4*b**2 + 10*b**o.
2*(b - 5)*(b + 1)
Suppose -u = -4*j, -804*j + 803*j = 3*u. Solve u*s + 9/4*s**4 + 1/4*s**2 - 3/2*s**3 + 0 = 0.
0, 1/3
Let p(x) be the first derivative of -2*x**6/15 - 2*x**5/25 + x**4/5 + 2*x**3/15 + 216. What is u in p(u) = 0?
-1, -1/2, 0, 1
Let f be 1/1 - (1 + -3). Find q such that 0 + q - 3 + 2*q**2 + f + q**3 = 0.
-1, 0
Let j = -120 + 122. Let f(c) be the first derivative of -4/15*c**3 - 4/5*c + 6 + c**j. Factor f(q).
-2*(q - 2)*(2*q - 1)/5
Let 55*n**3 - 25/4*n**5 + 10*n**4 + 0 + 20*n**2 + 0*n = 0. What is n?
-2, -2/5, 0, 4
Let l = 17 + -13. Let u be -3 - (-2 + -22)/l. Factor -u*v**2 + v - 2*v**2 - 3*v**2 + 3*v.
-4*v*(2*v - 1)
Let q(z) be the second derivative of z**5/5 + 2*z**4 + 22*z**3/3 + 12*z**2 - 84*z. Factor q(m).
4*(m + 1)*(m + 2)*(m + 3)
Factor 3*a - 3/5*a**3 - 18/5 + 6/5*a**2.
-3*(a - 3)*(a - 1)*(a + 2)/5
Let q(m) = 2*m - 5*m - 3*m - 4 + 0. Let u be q(-16). Factor 92*a + 4 - 4*a**2 - u*a.
-4*(a - 1)*(a + 1)
Factor 108*f - 4*f**3 + 122*f - 348*f + 72*f**2 - 314*f + 864.
-4*(f - 6)**3
Factor -8*i - 4*i**2 + 10*i - 13*i - 29*i.
-4*i*(i + 10)
Let m(k) = 5*k + 42. Let t be m(-8). Let h be t/6*3*(-8 - -8). Solve -98/9*l**3 + h - 56/9*l**2 - 8/9*l = 0.
-2/7, 0
Let n(j) be the third derivative of j**6/600 + 3*j**5/100 + j**4/15 + 4*j**2 - 5*j. Factor n(v).
v*(v + 1)*(v + 8)/5
Let p(t) be the third derivative of t**5/270 + 4*t**4/27 + 32*t**2 - t. Determine c, given that p(c) = 0.
-16, 0
Factor 14*y**2 + 7*y**3 - 2*y**3 - 4*y**3 - 3*y**3 + 32*y**2.
-2*y**2*(y - 23)
Suppose -85 + 136 = -15*v + 81. Suppose 13/2*x**v + 1/2*x**4 - 3*x**3 - 6*x + 2 = 0. Calculate x.
1, 2
Find r such that 1/2*r**2 + 5/6 + 8/3*r = 0.
-5, -1/3
Let c = -44 + 46. Factor 16*a**c + 4*a**2 - 1 + 10*a**5 - 4 - 15*a**4 - 10*a**3.
5*(a - 1)**3*(a + 1)*(2*a + 1)
Let r(t) be the third derivative of -t**5/30 - 5*t**4/12 - 4*t**3/3 + 96*t**2. Factor r(w).
-2*(w + 1)*(w + 4)
Factor 6*c**2 + 48/5 - 2/5*c**3 - 76/5*c.
-2*(c - 12)*(c - 2)*(c - 1)/5
Factor m**2 - 6*m**2 - 2*m**2 - 10*m**2 + 13*m**2.
-4*m**2
Factor -4*l**2 - 15*l + 2*l**2 + 5*l - 24*l + 4*l**2 + 104.
2*(l - 13)*(l - 4)
Let k(m) be the second derivative of 0*m**3 + 1/45*m**6 - 1/18*m**4 + 0*m**2 + 0*m**5 + 46*m + 0. Factor k(r).
2*r**2*(r - 1)*(r + 1)/3
Solve -2/7*d**2 + 100/7*d - 1250/7 = 0 for d.
25
Suppose 4*h - 8*h = -5*p - 5, h = -5*p + 20. Factor 34*w**2 - 46*w**2 + 9*w**3 - 3*w**4 + 6*w**p.
-3*w**2*(w - 4)*(w - 1)
Factor 2/11*r - 2/11*r**2 - 2/11*r**3 + 2/11.
-2*(r - 1)*(r + 1)**2/11
Let -10*i**2 + 1/2 + 4*i = 0. Calculate i.
-1/10, 1/2
Suppose -3*n - 3*n = -468. Let w be 3 + 7/((-210)/n). Solve -3/5*o**2 - w*o + 1/5 = 0.
-1, 1/3
Let k = -5822 - -17297/3. Let w = k - -57. Factor -2/3*n + 0 + n**2 + n**3 - w*n**4.
-n*(n - 2)*(n + 1)*(2*n - 1)/3
Let q(l) = l**2 - 23*l - 3. Let k be q(23). Let t