 = -2*c(p) + 6*x(p). Factor o(t).
2*(t + 2)**2*(7*t - 2)**2
Let h(l) be the first derivative of -l**5/60 - l**4/12 - l**3/6 + l**2/2 + 7. Let m(g) be the second derivative of h(g). Let m(j) = 0. What is j?
-1
Let x be (3/(-4))/((-6)/24). Let z(r) be the third derivative of -2/3*r**x + 0 + r**2 - 1/60*r**5 + 0*r + 1/6*r**4. Factor z(q).
-(q - 2)**2
Find i such that 20*i**5 + 32*i**2 + 42*i - 6*i**3 - 30*i**3 - 26*i + 14*i**4 - 46*i**4 = 0.
-1, -2/5, 0, 1, 2
Suppose 0*w - 4*w + 2*y = -10, 0 = -5*w + y + 14. Find m, given that 0*m**3 - 2*m**4 + 2*m**w - 2*m**2 + 2*m**3 = 0.
0, 1
Let m = -77 - -233/3. Factor -m - n + 5/3*n**2.
(n - 1)*(5*n + 2)/3
Suppose 0 = -j + 4 - 1. Let 0*c**2 + 0*c - 1/2*c**4 - 1/4*c**j + 0 - 1/4*c**5 = 0. What is c?
-1, 0
Let b(a) be the second derivative of -a**7/2940 - a**6/630 - a**5/420 + a**3/3 + a. Let u(o) be the second derivative of b(o). Factor u(q).
-2*q*(q + 1)**2/7
Let o(j) be the second derivative of -j**5/8 + j**4/8 + j**3 + j**2 + j + 3. Find q such that o(q) = 0.
-1, -2/5, 2
Let i(n) be the third derivative of 0 + 0*n + 1/84*n**8 - 13/60*n**5 + 0*n**3 - 17/210*n**7 + 1/5*n**6 + 1/12*n**4 - 2*n**2. Find x such that i(x) = 0.
0, 1/4, 1, 2
Let i(f) = -f**3 - 4*f**2 + 4. Let t be i(-4). Let u(j) be the first derivative of -1/12*j**3 - 1/16*j**t - 1 + 1/8*j**2 + 0*j + 1/20*j**5. Factor u(y).
y*(y - 1)**2*(y + 1)/4
Let c(u) be the second derivative of 7*u**5/5 - 2*u**4/3 + 4*u. Solve c(m) = 0.
0, 2/7
Find y such that -9*y**4 + 2*y**5 - y**2 + 3*y**2 + 7*y**4 + 0*y**4 - 2*y**3 = 0.
-1, 0, 1
Let g be (-5 + 0)*(9 - 10). Let f(t) be the second derivative of 0 + 1/6*t**2 + 0*t**3 + 1/90*t**6 + 0*t**g - t - 1/18*t**4. Factor f(l).
(l - 1)**2*(l + 1)**2/3
Let l(o) be the second derivative of 11*o + 0 - 2/15*o**6 + 0*o**3 + 2/3*o**4 + 0*o**5 - 2*o**2. Factor l(i).
-4*(i - 1)**2*(i + 1)**2
Let b(u) = u**2 - 3*u + 3. Let q be b(3). Suppose -4*c**3 + 24*c**4 - 26*c**2 - 4*c + 5*c**q + 5*c**5 + 8 + 4*c**5 = 0. Calculate c.
-2, -1, 2/3
Factor -3/4*g**3 + 3/4*g**2 - 3/4 + 3/4*g.
-3*(g - 1)**2*(g + 1)/4
Let q be 1/(-3) - 14/(-6). Determine z so that 2*z - 8*z + z - 2*z**2 + 4*z**2 + q = 0.
1/2, 2
Suppose -5/2*h + 5/4*h**2 + 0 = 0. What is h?
0, 2
Let z be 0*2*(-4)/16. Factor 0*a - 1/2*a**2 + 1/4*a**3 + z.
a**2*(a - 2)/4
Suppose -2*s - 6 + 18 = 0. Let i(k) be the second derivative of -1/15*k**s + 5/27*k**3 + 0 - 2/9*k**2 - 1/10*k**5 + 3*k + 7/54*k**4. Solve i(u) = 0 for u.
-1, 1/3, 2/3
Factor -8*q**5 + 3*q**3 + 12*q**4 - 7*q**3 + 0*q**3 + 0*q**3.
-4*q**3*(q - 1)*(2*q - 1)
Let o(s) = s + 14. Let x be o(-12). Suppose 0 + 1/3*t**4 - 1/3*t**x - 1/3*t**3 + 1/3*t = 0. Calculate t.
-1, 0, 1
Let j be -14 + (0/(-4))/1. Let k = 14 + j. Factor k + 1/4*l + 1/4*l**2.
l*(l + 1)/4
Suppose -217 = -4*d - 201. Let v = -3 - -8. Factor -4/7*n**2 + 0*n**3 + 2/7*n**v + 4/7*n**d - 2/7*n + 0.
2*n*(n - 1)*(n + 1)**3/7
Let d(f) be the first derivative of -1/12*f**2 - 1/3*f + 1 + 1/18*f**3. Let d(u) = 0. Calculate u.
-1, 2
Factor -3 + 5*g**2 - 4*g + g**2 + 3 - 2.
2*(g - 1)*(3*g + 1)
Let i(b) be the second derivative of -b**4/36 + 2*b**3/9 - 2*b**2/3 + 5*b. Solve i(m) = 0 for m.
2
Let l(h) be the second derivative of -h**6/600 + h**5/300 + h**4/120 - h**3/30 + 7*h**2/2 + 4*h. Let a(j) be the first derivative of l(j). Factor a(r).
-(r - 1)**2*(r + 1)/5
Let y(a) be the first derivative of -a**6/39 + 2*a**5/65 + a**4/13 - 4*a**3/39 - a**2/13 + 2*a/13 - 5. Factor y(p).
-2*(p - 1)**3*(p + 1)**2/13
Factor -60*y**3 + 7*y**2 + 43*y + 49*y**2 - 11*y.
-4*y*(3*y - 4)*(5*y + 2)
Let a(j) = -j**3 - 8*j**2 - 7*j - 4. Let i be a(-7). Let z be (i/6)/(2/(-27)). Suppose -4*x**3 + 7*x**3 - 4*x**2 - 5*x**4 + z*x**3 = 0. What is x?
0, 2/5, 2
Suppose o - 2 = 1. Let p = o - 3. Factor 0 + 0*j + p*j**2 + 1/3*j**3 + 1/3*j**5 + 2/3*j**4.
j**3*(j + 1)**2/3
Let c(n) be the second derivative of -n**7/21 + 8*n - 4. Factor c(l).
-2*l**5
Factor 0*y + 0 + 3/7*y**3 - 3/7*y**2.
3*y**2*(y - 1)/7
Let g = 707/36 + -170/9. Factor g + 3/4*r**3 - 3/4*r - 3/4*r**2.
3*(r - 1)**2*(r + 1)/4
Determine t so that 14/9*t**4 - 2*t**3 - 10/9*t**2 - 4/9 + 2*t = 0.
-1, 2/7, 1
Let j be (-3 - -4)*(0 - -2). Suppose 2*c = 0, q + j*q + 2*c = 9. Determine t so that q*t**4 + 0*t**3 - 2*t**4 - 4*t**3 + 3*t**3 = 0.
0, 1
Let b(y) = y**2 - y. Let d(q) = q**3 - 8*q**2 - 7*q - 13. Let s be d(9). Let g(p) = -p**3 - 8*p**2 + 2*p - 1. Let m(r) = s*b(r) + g(r). Factor m(w).
-(w + 1)**3
Let h(l) be the third derivative of 0*l**3 + 1/270*l**5 + 0*l - 1/108*l**4 - 3*l**2 + 0. Suppose h(c) = 0. Calculate c.
0, 1
Let w(m) = -4*m**3 - 2*m**2 + 12*m + 8. Let a(u) = 16*u**3 + 9*u**2 - 48*u - 32. Let l(x) = 2*a(x) + 9*w(x). Factor l(o).
-4*(o - 2)*(o + 1)**2
Let v(m) = 3*m**4 + 6*m**3 + 15*m**2 + 14*m + 4. Let n(a) = a**4 + a**2 + a. Let u(q) = 2*n(q) - v(q). Factor u(c).
-(c + 1)**2*(c + 2)**2
Let s(x) = -10*x + 6. Let q(n) = n**2 + 2 + 1 - 1 + n - 1. Let h(f) = 2*q(f) + s(f). What is v in h(v) = 0?
2
Factor 24/11 - 32/11*j - 6/11*j**2.
-2*(j + 6)*(3*j - 2)/11
Factor -4*n**3 + n - n + 2*n**5 + 2*n.
2*n*(n - 1)**2*(n + 1)**2
Let u(r) = -6*r. Let w be u(0). Find b, given that -8/5*b**3 - 8/5*b**2 + 0 + w*b - 2/5*b**4 = 0.
-2, 0
Let y(l) be the third derivative of 1/60*l**6 + 0 + 1/30*l**5 - 5*l**2 - 1/6*l**4 + 0*l + 0*l**3. Let y(h) = 0. What is h?
-2, 0, 1
Let v(l) = -2*l**3 - 5*l**2 + 3*l - 3. Let j(c) = -6*c**3 - 14*c**2 + 8*c - 8. Let w = 33 - 25. Let y(u) = w*v(u) - 3*j(u). Let y(d) = 0. Calculate d.
-1, 0
Find y, given that -48/5 - 3/5*y**2 + 24/5*y = 0.
4
Suppose 2*p + 9*j + 37 = 4*j, -3*p - 2*j - 50 = 0. Let s = p + 18. Let 8/3*c**5 + 2*c**4 - s*c**2 + 2/3*c + 0 - 10/3*c**3 = 0. Calculate c.
-1, 0, 1/4, 1
Let k be (0/2)/(-3) - -3. Factor -3*i - i**3 + i**k - 6*i**2 - 3*i**3.
-3*i*(i + 1)**2
Let w(v) = -v**2 + 17*v + 138. Let h be w(-6). Factor 2/9*q**5 + 0*q + 2/9*q**4 + h*q**2 - 4/9*q**3 + 0.
2*q**3*(q - 1)*(q + 2)/9
Let p(r) be the third derivative of -r**7/13860 - r**6/1980 + r**4/24 - r**2. Let g(m) be the second derivative of p(m). Suppose g(z) = 0. Calculate z.
-2, 0
Factor -5*m**2 - 6 - 3*m**3 + 5*m**2 + 9*m**2 + 3*m - 3*m**4.
-3*(m - 1)**2*(m + 1)*(m + 2)
Suppose 5*h - 5*d = 25, -6*h + 4*h - 5*d = 11. Solve -2*f - h*f - 2*f**2 + 2*f = 0 for f.
-1, 0
Suppose 5*z + 26 = 4*i, 3*i - 6 = 2*z + 10. Suppose -3 + 0 = 3*c, 4*o = -4*c + i. Determine n, given that 0 + 0*n - n**3 + 1/2*n**4 + 1/2*n**o = 0.
0, 1
Suppose -2*p = 3*p. Let s(c) be the third derivative of -2*c**2 + 0*c**3 + 0*c + p + 1/60*c**5 + 0*c**4. Factor s(l).
l**2
Let k(t) be the third derivative of -t**5/120 - t**4/16 - t**3/6 + 4*t**2. Factor k(y).
-(y + 1)*(y + 2)/2
Suppose 3*k - 3*b - b = 9, 0 = -5*k - 5*b + 15. Let r be -2*(k/6 - 3). What is p in -2*p**4 - 2/3*p**r + 0*p + 0 - 2*p**3 - 2/3*p**2 = 0?
-1, 0
Let f = -3713/9 - -413. Let q be (-1)/((-36)/(-80)*-2). Factor 2/3*l + f - q*l**2.
-2*(l - 1)*(5*l + 2)/9
Factor 3/2*h**2 + 3/2*h + 1/2 + 1/2*h**3.
(h + 1)**3/2
Let i = -8 - 5. Let d be i/4 - 12/(-3). Solve -d*j**3 - 3/2*j**2 + 0*j + 0 = 0.
-2, 0
Let m(d) be the first derivative of 1/18*d**6 + 0*d**2 - 1/12*d**4 - 1/15*d**5 - 2 + 0*d + 1/9*d**3. Find s such that m(s) = 0.
-1, 0, 1
Let o(g) be the third derivative of -g**8/5880 - g**7/2940 + g**6/1260 + g**5/420 + 2*g**3/3 - 2*g**2. Let x(n) be the first derivative of o(n). Factor x(k).
-2*k*(k - 1)*(k + 1)**2/7
Let h be 3*4/6 - 1. Let y(x) be the second derivative of x**4/12 - x**3/6 + x. Let b(a) = a**2 - a + 4. Let t(f) = h*b(f) - 3*y(f). Find n such that t(n) = 0.
-1, 2
Let u(h) be the second derivative of -h**7/294 + h**6/105 - h**4/42 + h**3/42 + 29*h. Factor u(x).
-x*(x - 1)**3*(x + 1)/7
Suppose -3*f = -0*f - 12. Factor -2 - 6*g**2 + 0*g**2 - 4*g + f*g**2 + 0*g**2.
-2*(g + 1)**2
Let l(j) be the third derivative of -j**8/6720 + j**7/420 - j**6/60 - j**5/60 + 2*j**2. Let p(b) be the third derivative of l(b). Factor p(c).
-3*(c - 2)**2
Let o(k) be the second derivative of -k**6/25 - 2*k**5/25 + 13*k**4/30 - 2*k**3/5 + 7*k. Let o(b) = 0. What is b?
-3, 0, 2/3, 1
Let t(i) be the first derivative of -2*i**3/3 - 3*i**2 + 8*i + 24. Find h such that t(h) = 0.
-4, 1
Let t(z) be the third derivative of -1/240*z**5 + 1/24*z**4 - 1/6*z**3 + 0*z + 0 - 8*z**2. Factor t(i).
-(i - 2)**2/4
Let v be 559/195 + 4/30. Det