(f + 3)/3
Let k be 39/(-10) - (2 - 6). Let p(q) be the first derivative of 0*q + 1/5*q**3 + 1/25*q**5 - 1 + 3/20*q**4 + k*q**2. Solve p(n) = 0.
-1, 0
Let p(s) be the second derivative of -1/3*s**3 + 0 + 21/20*s**5 + 1/12*s**4 + 0*s**2 - 2*s. Factor p(o).
o*(3*o + 1)*(7*o - 2)
Let i(q) = q**5 + 7*q**4 + 6*q**3 - 2*q**2 - 3*q - 5. Let t(b) = b**4 + b**3 - 1. Let v(w) = -i(w) + 4*t(w). Factor v(g).
-(g - 1)*(g + 1)**4
Let i(a) = -9*a**4 + 9*a**2 + 5. Let q(m) = 5*m**4 - 5*m**2 - 3. Let v(f) = -3*i(f) - 5*q(f). Factor v(y).
2*y**2*(y - 1)*(y + 1)
Let a(h) be the second derivative of 0 - 6*h - 1/3*h**3 - 5/6*h**4 - 1/5*h**6 + 0*h**2 - 7/10*h**5. Let a(z) = 0. What is z?
-1, -1/3, 0
Let g be (-14)/(-4) + (-3)/(-6). Suppose 5*d + 3 = 6*d. Find x, given that 4*x**g - x - x**3 + 0*x - 4*x**2 + 2*x**d = 0.
-1, -1/4, 0, 1
Let v = -65/2 - -34. Let r(o) be the second derivative of -v*o**3 + 0 - 3/2*o**2 - 3/4*o**4 + 3*o - 3/20*o**5. Let r(f) = 0. Calculate f.
-1
What is r in -8/7*r**2 - 4/7 + 2/7*r**3 + 10/7*r = 0?
1, 2
Let t = 24 + -19. Let f(d) = 6*d**3 - 9*d**2 - 5. Let i(u) = -6*u**3 + 10*u**2 + 6. Let l = 1 + 5. Let a(q) = l*f(q) + t*i(q). Factor a(o).
2*o**2*(3*o - 2)
Suppose -4*b + 0 = -8. Factor a**4 - 3*a**4 - 2*a**3 + 2*a + 4*a**4 - b*a**2.
2*a*(a - 1)**2*(a + 1)
Let r(v) be the first derivative of v**4/38 + 8*v**3/57 - v**2/19 - 8*v/19 - 61. Determine d, given that r(d) = 0.
-4, -1, 1
Let q(d) be the second derivative of d**7/210 - d**6/120 - d**5/60 + d**4/24 + d**2 - 2*d. Let k(m) be the first derivative of q(m). Factor k(z).
z*(z - 1)**2*(z + 1)
Suppose 90 = 23*f + 7*f. Suppose 16/9 + 20/3*q**2 + 8*q + 14/9*q**f = 0. Calculate q.
-2, -2/7
Let t = -1 - 0. Let n = t - -3. Let 9*v + 4 - 3*v + n*v**2 + 0*v = 0. Calculate v.
-2, -1
Let h be 26/6 - (-4)/(-12). Let p(w) be the first derivative of 10/3*w**3 - w**h + 0*w + 2*w**2 + 2 - 2*w**5. Factor p(i).
-2*i*(i - 1)*(i + 1)*(5*i + 2)
Let r(d) be the first derivative of 3*d**4/4 + 7*d**3/3 - 7*d**2/2 - 3*d + 27. Let r(t) = 0. Calculate t.
-3, -1/3, 1
Suppose 3*a - 15 = -0*a. Suppose 4*l - 2 = -5*f - 19, -2*l + 9 = -f. Find b, given that 12 + 4*b**4 + l*b**a - 4*b**2 - 12 - 2*b = 0.
-1, 0, 1
Let m(i) = -i + 12. Let f be m(9). Let v be -1 + f*11/21. Determine a so that -v - 10/7*a - 8/7*a**2 - 2/7*a**3 = 0.
-2, -1
Let u(t) = t**2 - 8*t + 10. Let r be u(7). Let z(m) = -2*m**2 - 16*m + 32. Let f(p) = -p**2 - 5*p + 11. Let y(i) = r*z(i) - 8*f(i). Let y(w) = 0. What is w?
2
Let i(q) be the third derivative of -q**5/240 + q**4/96 - 4*q**2. Find f, given that i(f) = 0.
0, 1
Let r(o) be the third derivative of -7*o**2 + 1/12*o**4 - 1/30*o**5 + 0 + 0*o + 0*o**3. Factor r(d).
-2*d*(d - 1)
Factor 0*r + 0 - 2/9*r**4 + 2/9*r**3 + 4/9*r**2.
-2*r**2*(r - 2)*(r + 1)/9
Let l(q) be the first derivative of 3 + 2*q**3 - 3/2*q**2 - 6*q + 3/4*q**4. Factor l(h).
3*(h - 1)*(h + 1)*(h + 2)
Let d(n) be the second derivative of -1/252*n**7 + 0*n**3 + 1/120*n**5 - 1/72*n**4 + 0*n**2 - 4*n + 1/180*n**6 + 0. Factor d(u).
-u**2*(u - 1)**2*(u + 1)/6
Factor -11*d**2 - 3 - 5*d + 2*d + 6 + 5*d**2.
-3*(d + 1)*(2*d - 1)
Let k be 80/(-60)*3/(-2). Let m(y) be the third derivative of 1/60*y**5 + 0*y + 2*y**k - 1/12*y**4 + 0 + 0*y**3. Factor m(x).
x*(x - 2)
Let p(t) be the third derivative of -t**8/40320 + t**7/10080 + t**6/720 + t**5/60 + 3*t**2. Let d(n) be the third derivative of p(n). Find y such that d(y) = 0.
-1, 2
Let c(f) be the first derivative of f**4/12 - 2*f**2/3 + 43. Find s, given that c(s) = 0.
-2, 0, 2
Suppose l = 2*k + 10, 5*k + 0*k = 2*l - 25. Suppose -i**3 + 1/2*i**5 + l*i**2 + 0 + 1/2*i**4 + 0*i = 0. Calculate i.
-2, 0, 1
Let a be (4/2 - 1) + 2. Let k + 4/5*k**2 + 1/5*k**a + 2/5 = 0. Calculate k.
-2, -1
Let u(m) be the first derivative of -4*m**2 - 5*m**3 + 16*m**2 - 2 + 4*m**3 - 48*m. Factor u(r).
-3*(r - 4)**2
Suppose 3*k - 24 = 5*y, 5*k = y + 4 + 14. Let p(c) be the second derivative of 1/12*c**4 - 1/6*c**k + 0 + 0*c**2 - c. Factor p(z).
z*(z - 1)
Let s(y) be the first derivative of y**7/280 - y**6/120 - y**5/20 - y**3/3 + 5. Let j(g) be the third derivative of s(g). Factor j(r).
3*r*(r - 2)*(r + 1)
Suppose 0 = -0*m - m + 2*k + 8, -2*k = m + 4. Factor -6*a**2 + m*a - 4*a**2 + 14*a**3 + 0*a - 6*a**4.
-2*a*(a - 1)**2*(3*a - 1)
Let q(g) be the first derivative of -g**9/7056 - g**8/3920 + 4*g**3/3 + 6. Let j(z) be the third derivative of q(z). Solve j(a) = 0.
-1, 0
Let j = 20 + -59/3. Let s(h) be the second derivative of -2*h + 1/36*h**4 + j*h**2 + 0 + 1/6*h**3. Factor s(l).
(l + 1)*(l + 2)/3
Let d(u) = u - 5. Let k be d(7). Let y = 3/107 + 847/321. Factor -y*z - 2/3*z**k - 2.
-2*(z + 1)*(z + 3)/3
Let j(f) be the first derivative of -32*f**6/3 + 32*f**5/5 + 7*f**4 + 4*f**3/3 - 15. Let j(m) = 0. Calculate m.
-1/4, 0, 1
Let a(n) = -n**2 + 8*n - 10. Let k be a(6). Determine z so that z**2 + 2*z**k - 4*z**2 + 3 - 2 = 0.
-1, 1
Let n = -4 - -4. Let k(x) be the first derivative of -3/4*x**4 + 2/3*x**3 - 7/6*x**6 + n*x + 0*x**2 - 12/5*x**5 + 3. Factor k(j).
-j**2*(j + 1)**2*(7*j - 2)
Let x(i) = -19*i + 230. Let y be x(12). Factor -2/3 - y*w + 8/3*w**2.
2*(w - 1)*(4*w + 1)/3
Let z(c) be the second derivative of -1/18*c**3 + 0*c**2 - 1/180*c**6 + 1/40*c**5 + 1/72*c**4 + 0 - 1/252*c**7 + 10*c. Determine m, given that z(m) = 0.
-2, -1, 0, 1
Let t = -12 - -10. Let j be (2/(-3))/(t/6). Factor 0*c + 2/9 - 2/9*c**j.
-2*(c - 1)*(c + 1)/9
Let c(z) = -5*z**4 + 24*z**3 - 18*z**2 + 4*z - 5. Let y(m) = 14*m**4 - 72*m**3 + 54*m**2 - 12*m + 16. Let a(n) = -16*c(n) - 5*y(n). Factor a(d).
2*d*(d - 1)**2*(5*d - 2)
Let w(p) be the third derivative of 0*p + 1/300*p**6 + 0*p**3 - 3*p**2 + 0 + 1/60*p**4 - 1/75*p**5. Factor w(j).
2*j*(j - 1)**2/5
Let v(c) be the first derivative of c**6/90 + c**5/20 + c**4/12 - c**3/3 - 3. Let r(m) be the third derivative of v(m). Factor r(q).
2*(q + 1)*(2*q + 1)
Let v(s) be the first derivative of -s**9/6048 + s**8/3360 + s**7/1680 - s**6/720 - s**3/3 - 1. Let w(r) be the third derivative of v(r). Factor w(b).
-b**2*(b - 1)**2*(b + 1)/2
Let 0*l**4 + 34*l**3 + 10*l**2 - 10*l**4 - 29*l**3 - 8*l + 3*l = 0. What is l?
-1, 0, 1/2, 1
Let l(a) = -10*a**4 + 155*a**3 + 340*a**2 + 110*a - 65. Let o(x) = x**4 - 14*x**3 - 31*x**2 - 10*x + 6. Let v(p) = -6*l(p) - 65*o(p). Factor v(f).
-5*f*(f + 1)**2*(f + 2)
Let p(j) = 2*j**2 + 4*j - 10. Suppose 0 = -c - 5 + 15. Let o(q) = -q**2 + 10*q - 6. Let l be o(c). Let v(y) = -y + 1. Let w(b) = l*v(b) - p(b). Factor w(z).
-2*(z - 2)*(z + 1)
Let z = 32/11 - 629/220. Let g(i) be the second derivative of -2*i + 1/6*i**3 + 1/6*i**4 + 0*i**2 + 0 + z*i**5. Determine w so that g(w) = 0.
-1, 0
Let c(i) be the first derivative of i**3/3 + 2*i**2 + 2. Let y be c(-4). Solve 0*z**2 - 2/5*z + 0*z**4 - 2/5*z**5 + 4/5*z**3 + y = 0.
-1, 0, 1
Suppose 2*v + 288 = -2*v. Let p be 1 - 3 - v/28. Find t such that p*t**3 + 0*t**4 - 2/7*t - 2/7*t**5 + 0 + 0*t**2 = 0.
-1, 0, 1
Let r(j) = j - 2. Let i be r(6). Determine u so that -4*u**3 - 3*u**2 + u**3 - 2*u**4 + 5*u**i + 3*u = 0.
-1, 0, 1
Let a(f) be the first derivative of f**5/5 - f**4/4 - f**3/3 + f**2/2 + 10. Factor a(j).
j*(j - 1)**2*(j + 1)
Factor 4/5*x**3 + 0*x**2 + 0*x + 6/5*x**4 + 0 + 2/5*x**5.
2*x**3*(x + 1)*(x + 2)/5
Let w(v) be the second derivative of -v**7/35 - 7*v**6/60 + v**4/3 - v**2/2 - v. Let n(o) be the first derivative of w(o). Factor n(d).
-2*d*(d + 1)*(d + 2)*(3*d - 2)
Let t(y) be the second derivative of 5*y**7/42 - y**6 + 11*y**5/4 - 5*y**4/6 - 10*y**3 + 20*y**2 + 36*y. Factor t(u).
5*(u - 2)**3*(u - 1)*(u + 1)
Determine k, given that 0 + 3/7*k**5 + 3/7*k + 18/7*k**3 - 12/7*k**2 - 12/7*k**4 = 0.
0, 1
Let q(g) = g**3 + 3*g**2 - 3*g + 4. Let i be q(-4). Suppose i - 2/5*k - 2/5*k**2 = 0. Calculate k.
-1, 0
Let o(v) = v**3 - 3*v**2 - 2*v - 4. Let h be o(4). Let w be 0/(6*2/h). Factor 2/5*q**3 - 2/5*q + w*q**2 + 0.
2*q*(q - 1)*(q + 1)/5
Find d such that -6*d**2 - 2/3*d**4 - 14/3*d - 4/3 - 10/3*d**3 = 0.
-2, -1
Let z(r) be the third derivative of -r**7/840 - r**6/60 - r**5/10 + r**4/3 - 3*r**2. Let v(i) be the second derivative of z(i). Determine q so that v(q) = 0.
-2
Let z(n) be the third derivative of 0*n**3 + 2*n**2 + 0*n**4 + 0*n + 0*n**5 - 1/210*n**7 - 1/120*n**6 + 0. Factor z(f).
-f**3*(f + 1)
Suppose x + 2*x = -9*x. Let 0*l**4 + 1/4*l