 l(r).
-3*(r - 1)*(r + 3)
Let j be ((-10)/40)/((-6)/(-8)). Let p = j - -7/12. Suppose -p + 3/4*v - 3/4*v**2 + 1/4*v**3 = 0. What is v?
1
Let s(o) be the first derivative of 0*o + 0*o**2 + 4/35*o**5 - 1/21*o**6 + 2/7*o**4 + 4 - 16/21*o**3. Factor s(r).
-2*r**2*(r - 2)**2*(r + 2)/7
Suppose 0 = v + 5*v. Let a(y) be the second derivative of -y**2 + 2/3*y**3 + v + y - 1/6*y**4. Factor a(s).
-2*(s - 1)**2
Let z = 3/257 + 2035/1799. Determine p so that 10/7*p - 2/7 - z*p**2 = 0.
1/4, 1
Let g be 0/((-1)/(-2)*-4). Suppose -4*y = -2*y + 4*i, g = -2*y + 2*i. Let -2/3*m**2 + y + 0*m = 0. What is m?
0
Let c(r) be the third derivative of -7/150*r**5 - 6*r**2 + 0*r + 1/30*r**4 + 0 + 4/15*r**3 - 13/600*r**6 - 1/350*r**7. Let c(x) = 0. What is x?
-2, -1, 2/3
Let v = -33 - -38. Let q(i) be the third derivative of 0*i**3 + 0*i + 3*i**2 - 1/48*i**4 + 1/60*i**v + 0 - 1/240*i**6. Factor q(k).
-k*(k - 1)**2/2
Let s = -38 + 41. Factor -8/3 + 2*y**2 + 0*y - 2/3*y**s.
-2*(y - 2)**2*(y + 1)/3
Factor 10*u**5 + 9*u**4 - 2*u**3 - 5*u**5 - 12*u**5.
-u**3*(u - 1)*(7*u - 2)
Let z = -116 + 118. Factor 0 - 2/3*c - z*c**3 - 2*c**2 - 2/3*c**4.
-2*c*(c + 1)**3/3
Let w be 2/(-8)*132/(-11). Let h(x) be the second derivative of 0 - x**w + 3*x + 0*x**2 - 1/4*x**4. Factor h(a).
-3*a*(a + 2)
Let y(r) be the first derivative of r**5/35 + 3*r**4/28 + 2*r**3/21 - 5. Suppose y(c) = 0. Calculate c.
-2, -1, 0
Let w(l) be the first derivative of l**4/10 - 2*l**3/15 - 6*l**2/5 + 56. Solve w(t) = 0 for t.
-2, 0, 3
Let f(h) = -h**5 + 6*h**4 - 20*h**3 + 10*h**2 - 15*h - 4. Let k(g) = 2*g**5 - 12*g**4 + 39*g**3 - 21*g**2 + 29*g + 7. Let s(t) = -11*f(t) - 6*k(t). Factor s(j).
-(j - 2)*(j - 1)**4
Let t(u) be the first derivative of 2*u**5/35 + u**4/7 - 2*u**3/21 - 2*u**2/7 + 4. Find g such that t(g) = 0.
-2, -1, 0, 1
Let q be (-2*(-1)/(-24))/(-2). Let w(a) be the third derivative of 0 + 0*a**6 + 0*a**3 + q*a**4 - 1/30*a**5 + a**2 + 1/105*a**7 - 1/336*a**8 + 0*a. Factor w(h).
-h*(h - 1)**3*(h + 1)
Let p be -3 + 20/1 + -3. Solve 11*x**3 + 3 - 14*x + 5*x - p*x**3 + 9*x**2 = 0.
1
Let t(w) = 4*w**2 - 3*w - 2. Let d(z) = -3*z**2 + 2*z + 1. Let b(k) = 5*d(k) + 4*t(k). Let b(c) = 0. Calculate c.
-1, 3
Let l(z) be the first derivative of -1/3*z**2 - 2/15*z**5 + 0*z - 1/2*z**4 + 1 - 2/3*z**3. Suppose l(a) = 0. Calculate a.
-1, 0
Let x(d) be the third derivative of -d**2 + 1/240*d**6 - 1/60*d**5 + 1/48*d**4 + 0*d**3 + 0 + 0*d. Find l, given that x(l) = 0.
0, 1
Factor -2/13*c**2 + 36/13*c - 162/13.
-2*(c - 9)**2/13
Suppose 0 = -3*h - h + 12. Suppose 4*f = 2*m - 5*m + 16, -16 = -4*f + h*m. What is g in 3*g - g**2 - f*g + 0*g**2 = 0?
-1, 0
Let v(n) = 5*n**3 - 3*n**2 - n. Let m(o) = 2*o**3 - 2*o**2 - o. Let w(z) = 7*m(z) - 3*v(z). Let i be w(-4). Factor 0 - 1/3*g**2 + i*g**3 + 0*g + 1/3*g**4.
g**2*(g - 1)*(g + 1)/3
Suppose 4/3*r + 4/3*r**2 + 0 = 0. What is r?
-1, 0
Let a(s) = -4*s + 6. Let f(w) = -w + 1. Let g(i) = -a(i) + 5*f(i). Let j be g(-4). Suppose 2/7 + 8/7*m**j + 18/7*m**2 + 12/7*m = 0. Calculate m.
-1, -1/4
Solve -1/2 - 1/2*l**3 + 1/2*l**2 + 1/2*l = 0 for l.
-1, 1
Let d(m) be the first derivative of 2*m**5/115 - 2*m**4/23 - 22*m**3/69 - 6*m**2/23 + 25. Determine t, given that d(t) = 0.
-1, 0, 6
Let a(x) = x**2 - x. Suppose -2*m = -m, f - 2 = 5*m. Let l(y) = -3*y**2 + 1 - 5 - 2 + 4*y + 5. Let g(u) = f*l(u) + 7*a(u). Suppose g(w) = 0. Calculate w.
-2, 1
Let j be (-3)/(-12)*24/15. Determine s so that -1/5*s**3 + j*s**2 - 1/5*s**4 + 0*s + 0 = 0.
-2, 0, 1
Let s(l) be the second derivative of -2*l**7/35 + 9*l**6/40 - 3*l**5/10 + l**4/8 + l**2/2 + 3*l. Let u(k) be the first derivative of s(k). Factor u(i).
-3*i*(i - 1)**2*(4*i - 1)
Suppose -7 = -5*x + 3, i = -x + 7. Let w be (17/15 - 1)*i. Determine d, given that -2/3*d**3 - w*d**4 + 2/3*d**2 + 0 + 2/3*d = 0.
-1, 0, 1
Let t = 1399/7 - 199. Suppose -t*c**2 + 0 - 4/7*c = 0. What is c?
-2/3, 0
Let q = 905/2706 + -1/902. Determine z so that -q*z**2 + 1/6*z + 1/6*z**3 + 0 = 0.
0, 1
Let h be 6/2 - (4 - 4). Factor -c - 2 - h*c - 2*c**2 + 0*c.
-2*(c + 1)**2
Factor 113*d - 1 - 81*d - 63 - 4*d**2.
-4*(d - 4)**2
Let y(n) = -9*n**2 - 12*n - 12. Let u(b) = 8*b**2 + 12*b + 12. Let k(o) = -6*u(o) - 5*y(o). Factor k(z).
-3*(z + 2)**2
Let a be 1*3 + 0 + -2. Solve 4*o - 1 + 3*o**2 + 4 - a - o**2 = 0.
-1
Let m(w) be the first derivative of -3*w**5/5 + 3*w**4/4 + w**3 - 3*w**2/2 - 6. Factor m(p).
-3*p*(p - 1)**2*(p + 1)
Suppose 0 = 4*r + 2*h - 2, -5*r + 23*h = 22*h - 20. Let m(x) be the first derivative of 1/6*x**4 - 1 + 1/3*x**2 + 0*x - 4/9*x**r. Factor m(p).
2*p*(p - 1)**2/3
Suppose g - 4*r + 8*r + 9 = 0, -4*g + 18 = -2*r. Let 2/3*z**2 + 10/9*z + 4/9 - 2/9*z**4 - 2/9*z**g = 0. Calculate z.
-1, 2
Let m = -6 - -3. Let g = m - -5. Factor 0*s**g + 2*s**3 - 10*s**4 + 6*s**5 - 4*s**2 + 6*s**2.
2*s**2*(s - 1)**2*(3*s + 1)
Factor -2/9*f**3 - 8/9*f**5 + 0*f**2 + 10/9*f**4 + 0*f + 0.
-2*f**3*(f - 1)*(4*f - 1)/9
Determine g so that -5*g**2 + 7 - 2 + 2*g - 8 + g**3 + 5*g = 0.
1, 3
Let k(i) be the first derivative of -i**6/1620 - i**5/180 + i**4/27 + 5*i**3/3 + 9. Let c(a) be the third derivative of k(a). Determine g so that c(g) = 0.
-4, 1
Let a(g) = -g**2 - 1. Let t(i) = i**2 + i + 1. Let l(n) = -4*n + 2. Let f(s) = -l(s) - 4*t(s). Let h(q) = 5*a(q) - f(q). Factor h(x).
-(x - 1)*(x + 1)
Suppose 0 = 4*d - 5*d + 5. Let i = -5 + d. Find n such that 3*n**3 + i*n**3 - 2*n - n**3 = 0.
-1, 0, 1
Suppose 7*h**3 + 18*h**2 + 13*h**3 + 4*h**4 + h - 32 - 17*h + 6*h**2 = 0. What is h?
-2, 1
Let y(l) be the third derivative of -l**6/540 + 2*l**5/135 - 5*l**4/108 + 2*l**3/27 + l**2. Factor y(g).
-2*(g - 2)*(g - 1)**2/9
Determine r so that -14*r - 4*r**2 + 0*r + 0*r**2 + 2*r**2 - 12 = 0.
-6, -1
Let b(k) be the second derivative of k**7/252 - k**5/60 + k**3/36 + k. Factor b(g).
g*(g - 1)**2*(g + 1)**2/6
Let j = -5 + 9. Suppose -5*s - p + 5*p = -2, s + p = j. Factor -l**s - 4*l**4 + 6*l**4 - l**2.
2*l**2*(l - 1)*(l + 1)
Let n be (8/4)/(1/1). Let m(o) be the second derivative of -o + 1/20*o**5 + 0*o**n + 0*o**3 + 1/12*o**4 + 0. Factor m(b).
b**2*(b + 1)
Suppose 6 = r + 3. Factor -5 - 2*u**4 - 4 + 5 + 2*u**r - 2*u + 6*u**2.
-2*(u - 2)*(u - 1)*(u + 1)**2
Let g(b) be the third derivative of 0 + 1/24*b**4 + 0*b - 1/120*b**6 + 1/420*b**7 - 4*b**2 + 0*b**3 - 1/120*b**5. Suppose g(y) = 0. What is y?
-1, 0, 1, 2
Let p(j) be the first derivative of -j**7/189 - j**6/135 + j**5/90 + j**4/54 - 3*j - 1. Let m(t) be the first derivative of p(t). Find c, given that m(c) = 0.
-1, 0, 1
Let g = -2 + 1. Let y(x) = x**4 + x**3 + 1. Let d(n) = 4*n**4 + 8*n - 17*n**2 + 6*n**3 + 8*n**3 + 4 + 5*n**2. Let s(o) = g*d(o) + 6*y(o). Factor s(p).
2*(p - 1)**4
Let i(j) be the first derivative of j**5/10 + j**4/3 + j**3/3 - 2*j + 3. Let f(z) be the first derivative of i(z). Determine d so that f(d) = 0.
-1, 0
Let h(b) be the third derivative of b**8/50400 + b**7/12600 - b**5/30 - 7*b**2. Let n(j) be the third derivative of h(j). Factor n(v).
2*v*(v + 1)/5
Let q be ((-15)/100)/(9/(-4)). Let f(a) be the second derivative of 0 + 0*a**4 + 0*a**2 + 0*a**3 + q*a**6 + 1/20*a**5 + 1/42*a**7 - 3*a. Factor f(d).
d**3*(d + 1)**2
Suppose 0 = 6*q - q - 15. Suppose s = -q*s. Factor -1/3*h**5 + 0*h**4 + 2/3*h**3 - 1/3*h + 0*h**2 + s.
-h*(h - 1)**2*(h + 1)**2/3
Let m(s) be the first derivative of -1 - 1/20*s**5 + 0*s**4 + 0*s + 1/12*s**3 + 0*s**2. Factor m(l).
-l**2*(l - 1)*(l + 1)/4
Suppose 0 = 5*p - 12 + 2. Suppose -v = v - 4. Solve 2 + v*l**2 + l - 4*l**p - l = 0 for l.
-1, 1
Let r(l) = 9*l**4 - l**3 + 12*l**2 - 8*l + 2. Let w(x) = -4*x**4 + x**3 - 6*x**2 + 4*x - 1. Suppose 3*n = 21 - 0. Let h(f) = n*w(f) + 3*r(f). Factor h(d).
-(d - 1)**4
Let n be (-3)/1 + 14 + -3. Factor 8*s + 3*s - n*s - 3*s**2.
-3*s*(s - 1)
Find y, given that -11435*y**3 - 21*y**2 + 9*y**2 - 18*y**5 - 120*y**4 + 11361*y**3 = 0.
-6, -1/3, 0
Let n(d) be the first derivative of -1/6*d**4 + 3 - 2/3*d**3 - d**2 - 3*d. Let z(o) be the first derivative of n(o). Let z(h) = 0. What is h?
-1
Let a(w) be the third derivative of -w**6/840 - w**5/420 - 7*w**2. Factor a(h).
-h**2*(h + 1)/7
Let x(s) be the third derivative of -5*s**8/21 + 16*s**7/21 + s**6/8 - 13*s**5/24 + 5*s**4/24 + 39*s**2. Determine z, given that x(z) = 0.
-1/2, 0, 1/4, 2
Let o(a) be the second derivative of 9*a**5/100 + a*