 + t**2 + 4 = 0.
-1, 1/2
Let o(g) be the third derivative of g**6/90 - g**5/15 + 3*g**3 - 25*g**2. Let w(y) be the first derivative of o(y). Factor w(r).
4*r*(r - 2)
Let a(r) be the second derivative of -r**5/60 - r**4/24 + r**3/3 - 13*r**2/2 + 16*r. Let w(h) be the first derivative of a(h). Factor w(b).
-(b - 1)*(b + 2)
Let y(z) be the second derivative of -25/112*z**7 + 0*z**2 + 1/16*z**4 + 32*z - 1/4*z**6 + 0*z**3 + 21/160*z**5 + 0. Solve y(c) = 0 for c.
-1, -1/5, 0, 2/5
Suppose -19*k + 14*k + 10 = 0. Find p such that -3/2*p**k - 3/2*p**3 + 0 + 3*p = 0.
-2, 0, 1
Let 4/3 + r**2 + 2*r + 1/6*r**3 = 0. Calculate r.
-2
Let f(y) be the first derivative of 1/3*y**3 + 8*y + 1/12*y**4 + 1 + 1/2*y**2. Let n(o) be the first derivative of f(o). Factor n(m).
(m + 1)**2
Let b(v) = 3*v**3 + 30*v**2 + 99*v + 108. Let t(x) = 3*x**3 + 30*x**2 + 99*x + 108. Let i(p) = -5*b(p) + 4*t(p). Factor i(j).
-3*(j + 3)**2*(j + 4)
Let t(g) = -2*g**3 + g**2 + 2*g. Let m(h) = -3*h**3 + 44*h**2 + 3*h - 50. Let l(s) = -m(s) - 6*t(s). Factor l(x).
5*(x - 1)*(x + 1)*(3*x - 10)
Let d = 2308 - 2308. Let a(z) be the third derivative of 3/14*z**7 + d*z + 0*z**3 + 3*z**2 + 0*z**4 - 1/2*z**6 + 1/3*z**5 + 0. Solve a(g) = 0.
0, 2/3
Let k = 10543/123 - 257/3. Let g = 37/82 + k. Let -1 + 1/2*v**2 - g*v = 0. What is v?
-1, 2
Let d(m) = 94*m + 3*m**3 - 10*m**2 + 1 - 2*m**3 - 73*m + 3. Let t be d(7). Factor -8/5 - 4/5*i**4 - 36/5*i**2 - t*i**3 - 28/5*i.
-4*(i + 1)**3*(i + 2)/5
Let z(l) be the second derivative of -l**6/10 + 9*l**5/20 + l**4 - 6*l**3 + 29*l - 4. Factor z(v).
-3*v*(v - 3)*(v - 2)*(v + 2)
Factor 19652/9*y**4 + 160/9 + 4112/9*y + 105196/9*y**3 + 3944*y**2.
4*(y + 5)*(17*y + 2)**3/9
Let h be (1/(-5)*0*1)/5. Let o(a) be the third derivative of 0 - 7*a**2 + h*a**4 + 0*a**3 - 1/30*a**5 + 1/60*a**6 + 0*a. Determine k, given that o(k) = 0.
0, 1
Let x(l) = -5*l**4 + 134*l**3 + 11*l**2 - 152*l + 6. Let p(h) = -h**3 + h**2 - 2*h + 1. Let z(y) = -6*p(y) + x(y). Factor z(i).
-5*i*(i - 28)*(i - 1)*(i + 1)
Let h(w) be the third derivative of w**5/60 + 25*w**4/12 + 625*w**3/6 - 7*w**2 - 2. Let h(u) = 0. Calculate u.
-25
Suppose 184 = -12*u + 66*u + 76. Factor 16/9*y - 2/9*y**u - 32/9.
-2*(y - 4)**2/9
Let g(d) be the first derivative of d**6/15 - 22*d**5/25 + 7*d**4/2 - 10*d**3/3 - 581. Factor g(w).
2*w**2*(w - 5)**2*(w - 1)/5
Suppose -b - 3*j + 8 + 0 = 0, 4*b + 4*j - 48 = 0. Suppose 0*f + 3*f + 5*o = -14, f + 4*o = -b. Factor 4*i**2 - 4*i - 2 + 4 - 2*i**f.
2*(i - 1)**2
Factor 0 + 0*r - 17/3*r**2 + 35/3*r**3 - 19/3*r**4 + 1/3*r**5.
r**2*(r - 17)*(r - 1)**2/3
Let x be (1 - 68/14) + -6 + 10. Determine a, given that 1/7*a**5 + 1/7*a**4 - 2/7*a**3 + 1/7 + x*a - 2/7*a**2 = 0.
-1, 1
Let p be (-1*0/(-4))/(2/(-1)). What is s in 35*s**2 + 37*s**3 + 9*s + p*s**3 + s + 25*s**4 + 8*s**3 + 5*s**5 = 0?
-2, -1, 0
Let n(g) be the first derivative of -1 + 6*g**2 + 8/3*g**3 - g**4 + 0*g. Suppose n(u) = 0. Calculate u.
-1, 0, 3
Let q(f) = -3*f**3 + 6*f**2 - 21*f + 12. Let v(r) = -r**2 - r + 1. Let j = 53 + -59. Let b(y) = j*v(y) + q(y). What is m in b(m) = 0?
1, 2
Let y be ((-4)/6*-1)/((-8)/(-66)). Let f = -4 + y. Let 3/4*j**4 + 0*j + 0 + 3/4*j**2 - f*j**3 = 0. Calculate j.
0, 1
Factor -2/9*j**5 - 4/9*j**4 + 8/9*j**2 + 0 + 2/3*j**3 - 8/9*j.
-2*j*(j - 1)**2*(j + 2)**2/9
Factor 8*a**3 + 15*a**2 - 11*a**2 + 44*a**2 - 4*a**3.
4*a**2*(a + 12)
Let i(c) = -2*c**2 - 845*c + 8652. Let j be i(10). Factor 1/3*q - 1/3*q**4 + 1/3*q**5 + 2/3*q**j - 1/3 - 2/3*q**3.
(q - 1)**3*(q + 1)**2/3
Let u = 8045 + -8041. Factor 132/7*w - u*w**2 + 40/7.
-4*(w - 5)*(7*w + 2)/7
Let j(i) be the third derivative of -i**7/168 + 5*i**6/72 - i**5/8 - 15*i**4/8 + 11*i**3/6 + 29*i**2. Let z(c) be the first derivative of j(c). Factor z(q).
-5*(q - 3)**2*(q + 1)
Let h(i) = -i**2 - 3*i - 1. Let w(m) = 35*m**3 - 24*m**2 + 18*m + 6. Let s(r) = 6*h(r) + w(r). Find n such that s(n) = 0.
0, 6/7
Factor -14/9*h**2 + 2/3*h**3 + 4/9*h + 0.
2*h*(h - 2)*(3*h - 1)/9
Let n = -1888/3381 + 13/23. Let s(i) be the second derivative of 0*i**3 + i + 1/70*i**5 + n*i**7 + 0 + 0*i**4 + 2/105*i**6 + 0*i**2. Factor s(c).
2*c**3*(c + 1)**2/7
Let c = -44694 - -44726. Determine x, given that 40*x - 10*x**2 + 5*x**4 - 1/2*x**5 - 25/2*x**3 + c = 0.
-1, 4
Let p(j) be the second derivative of -j**7/8820 - j**6/504 + j**5/70 + 5*j**4/3 - 25*j. Let k(c) be the third derivative of p(c). Factor k(b).
-2*(b - 1)*(b + 6)/7
Let f = 2726 + -2721. Let d(l) be the second derivative of 5/12*l**4 - 5/2*l**3 + 0 - 6*l + f*l**2. Factor d(z).
5*(z - 2)*(z - 1)
Let v(x) be the third derivative of x**5/60 - 5*x**4/12 + 25*x**3/6 + 5*x**2. Let a(i) = 2*i**2 - 20*i + 50. Let j(h) = -4*a(h) + 7*v(h). Factor j(r).
-(r - 5)**2
Let n be (16/(-6))/(314 - 326). Factor -2/9*l**2 + 4/9 - n*l.
-2*(l - 1)*(l + 2)/9
Let v(m) = m**2 - 12*m + 10. Let c be v(10). Let p be (1 + 0)/((-30)/c). Factor -p*t - 4/3*t**2 - t**3 + 0.
-t*(t + 1)*(3*t + 1)/3
Let u(y) be the first derivative of 8 + 2*y**3 + 5/2*y**2 - 1/4*y**4 + 5*y. Let o(k) = -k**3 + 5*k**2 + 4*k + 4. Let t(j) = -5*o(j) + 4*u(j). Factor t(i).
i**2*(i - 1)
Suppose 5*l = m + 11, -l + 3 = 14*m - 15*m. Determine x so that -4/7*x**l + 0 + 0*x = 0.
0
Let 3*y**4 + 8*y**3 + 5*y + 7*y**2 - y**2 + y**2 - 3*y = 0. Calculate y.
-1, -2/3, 0
Let w be -2*(-12)/(-24)*0/(-2). Let d(c) be the second derivative of w + 1/10*c**5 + 0*c**2 + 0*c**4 + 2/15*c**6 + 1/21*c**7 + 0*c**3 + 8*c. Factor d(f).
2*f**3*(f + 1)**2
Let b(d) = -9*d**2 - 25*d - 34. Let v(q) = 17*q**2 + 50*q + 67. Let y(p) = -7*b(p) - 4*v(p). Find r, given that y(r) = 0.
-3, -2
Let h(a) be the second derivative of 2*a**7/21 + 14*a**6/15 + 3*a**5 + 3*a**4 + 11*a - 1. Find p such that h(p) = 0.
-3, -1, 0
Let i be 11*(-1)/(-4) - (875/100 + -8). Factor 0 + 1/5*r**3 - 2/5*r + 1/5*r**i.
r*(r - 1)*(r + 2)/5
Let h(s) be the first derivative of -s**4/36 + 5*s**3/27 - 7*s**2/18 + s/3 + 736. Suppose h(i) = 0. Calculate i.
1, 3
Let d(p) be the third derivative of -p**6/30 + p**4/6 - 14*p**2. Let d(j) = 0. What is j?
-1, 0, 1
Let i(g) be the first derivative of 4*g**5/5 + 4*g**4 + 8*g**3 + 8*g**2 + 4*g - 33. Factor i(w).
4*(w + 1)**4
Let k(f) = -8 + 8*f + 7 - 7*f. Let i(m) = -2*m**2 + 18*m - 88. Let c(h) = -i(h) - 10*k(h). Factor c(y).
2*(y - 7)**2
Let o(z) be the first derivative of z**6/12 - 3*z**5/16 - 5*z**4/24 + 10*z + 7. Let c(j) be the first derivative of o(j). Let c(y) = 0. What is y?
-1/2, 0, 2
Let r(o) be the first derivative of -3/2*o**2 - 7 - 2*o - 1/3*o**3. What is x in r(x) = 0?
-2, -1
Let 2/19*m**3 + 512/19 + 448/19*m - 62/19*m**2 = 0. What is m?
-1, 16
Suppose -21*w + 94 = -32. Let x(o) be the third derivative of 0 - 1/840*o**7 + 0*o + 0*o**w + 1/120*o**5 - 1/24*o**3 + 0*o**4 + 5*o**2. Factor x(z).
-(z - 1)**2*(z + 1)**2/4
Determine b, given that 49*b**2 - 24*b**2 - 237*b + 3*b**3 + 13 + 107 + 89*b**2 = 0.
-40, 1
Find r such that 29*r + 841 + 1/4*r**2 = 0.
-58
Let s(r) = 16*r**3 - r**2 - r + 2. Let m be s(1). Factor -15*g**4 + m*g**3 + 13*g**4 - 12*g + 10*g**2 - 12*g**3.
-2*g*(g - 3)*(g - 1)*(g + 2)
Let i(x) = 9*x**3 + 11*x**2 - x - 9. Let p(q) = 21*q**3 + 23*q**2 - q - 18. Let f(t) = 5*i(t) - 2*p(t). Solve f(k) = 0.
-3, -1, 1
Solve 15/2*k - 9/2*k**2 + 6 - 3/2*k**4 - 15/2*k**3 = 0 for k.
-4, -1, 1
Let g be -4 + 1 + 6/1. Let i = -1 + g. Factor 5*y**2 - 4*y**2 - i*y + y.
y*(y - 1)
Let d(o) = o**4 + o**3 + 2. Let f(m) = -2*m**4 + 14*m**3 + 12*m**2 - 4*m + 10. Let v(k) = -5*d(k) + f(k). Find a such that v(a) = 0.
-1, 0, 2/7, 2
Let x be 3/6 - (-67)/(-268). Factor -1/8*y**5 + x*y**4 + 3/8*y**3 - 1/2*y**2 - 1/2*y + 0.
-y*(y - 2)**2*(y + 1)**2/8
Suppose -4*z - 3 + 15 = 0. Let o(h) be the first derivative of 7/4*h**4 + 0*h + 20/9*h**z - 3 + 2/3*h**2. Factor o(m).
m*(3*m + 2)*(7*m + 2)/3
Let c(s) = -s**2 + 3*s + 20. Let x be c(6). Factor -30*o**x - 18*o**2 + 0 + 42*o - 9*o - 6 + 21*o**3.
3*(o - 1)**2*(7*o - 2)
Factor 0*x - 3/8*x**3 + 33/8*x**2 + 0.
-3*x**2*(x - 11)/8
Let l be 4/(-22) - (-34)/187. Let i(v) be the third derivative of l*v + 1/20*v**5 - 1/2*v**3 + 0 + 1/8*v**4 - 1/40*v**6 + v**2. Factor i(r).
-3*(r - 1)**2*(r + 1)
Suppose -19 + 4 = -3*y. Suppose 2*n**3 + 11*n**3 - y*n**3 - 3*n**4 + 10*n**3 - 27*n**2 = 0. Calculate n.
0, 3
Let a(w) be the third derivative of w**7/6 - 5*w**6/4 + 29*w**5/12 - 5*w**4/