d derivative of -o**10/3024 - o**9/1260 - o**8/3360 - o**4/8 - 2*o**2. Let f(q) be the second derivative of p(q). Let f(k) = 0. Calculate k.
-1, -1/5, 0
Let k(q) = 2*q + 10. Let t be k(-4). Let x(r) be the first derivative of 0*r + 2/15*r**5 - 1 + 0*r**t + 1/3*r**4 + 2/9*r**3. Let x(s) = 0. What is s?
-1, 0
Let b(o) be the second derivative of -o**6/120 + o**5/80 + o**4/48 - o**3/24 - 2*o. What is h in b(h) = 0?
-1, 0, 1
Let y(g) be the third derivative of 2*g**7/105 + g**6/10 - 2*g**4/3 - 34*g**2. Factor y(f).
4*f*(f - 1)*(f + 2)**2
Let w(h) be the second derivative of -4/9*h**3 - 4/3*h**2 + 0 - 6*h - 1/18*h**4. Solve w(m) = 0 for m.
-2
Let z(m) = 8*m**4 + 8*m**3 - 2*m**2 - 8*m - 6. Let s(l) = 23*l**4 + 23*l**3 - 6*l**2 - 23*l - 17. Let t(g) = 6*s(g) - 17*z(g). Factor t(w).
2*w*(w - 1)*(w + 1)**2
Factor 16/21*k**3 + 16/7*k + 44/21*k**2 + 2/21*k**4 + 6/7.
2*(k + 1)**2*(k + 3)**2/21
Let w(m) be the third derivative of m**6/40 + m**5/20 - m**4/4 - 14*m**2. Solve w(u) = 0.
-2, 0, 1
Solve d**2 + 6 - 15*d + d**3 + 11*d**2 - 4*d**3 = 0 for d.
1, 2
Let x(z) be the first derivative of 2*z**3 - 3*z**2/2 - 3*z - 2. Let y(d) = -d**2 + 1. Let m(k) = -x(k) - y(k). Factor m(w).
-(w - 1)*(5*w + 2)
Let n(a) = 2*a**2 + 32*a. Let v be n(-16). Factor v + 1/3*r + 1/6*r**2.
r*(r + 2)/6
Let x(j) = -24*j**4 + 48*j**3 + 30*j**2 - 36*j + 3. Let y(k) = 23*k**4 - 49*k**3 - 29*k**2 + 37*k - 2. Let w(z) = 4*x(z) + 3*y(z). Let w(s) = 0. What is s?
-1, 1/3, 2
Let n(g) be the second derivative of g**7/126 + g**6/18 + g**5/6 + 5*g**4/18 + 5*g**3/18 + g**2/6 - g. Factor n(m).
(m + 1)**5/3
Let p be (7/(-4))/(1/(-8)). Factor -k**2 - 14*k + p*k.
-k**2
Suppose -f - 3*v - 36 = v, 4*v = -8. Let l be -1*4*2/f. Suppose 0 - 2/7*z**2 + 2/7*z**4 + 0*z - 2/7*z**5 + l*z**3 = 0. Calculate z.
-1, 0, 1
Factor 2/9*t**2 - 4/9 + 2/9*t.
2*(t - 1)*(t + 2)/9
Let l(j) be the second derivative of 0*j**3 + 0*j**2 + 1/10*j**5 + 0 - 5*j + 1/6*j**4. Factor l(d).
2*d**2*(d + 1)
Let q(d) be the first derivative of -2 + 0*d + 7/120*d**5 + d**2 - 1/60*d**6 - 1/12*d**3 - 1/24*d**4. Let i(f) be the second derivative of q(f). Factor i(u).
-(u - 1)**2*(4*u + 1)/2
Find j, given that 2/11*j**2 + 2/11 + 4/11*j = 0.
-1
Let z(q) be the first derivative of 2 - 3/2*q**2 - 3/5*q**5 - 3*q - 1/2*q**6 + 2*q**3 + 3/2*q**4. Factor z(t).
-3*(t - 1)**2*(t + 1)**3
Let a(s) = 2*s - 1. Let z be a(4). Factor -37*n**4 + 11*n**4 - z*n + 2*n**2 + 18*n**3 + 10*n**5 + 3*n.
2*n*(n - 1)**3*(5*n + 2)
Let h(d) be the third derivative of 0*d - d**2 + 1/80*d**6 + 1/20*d**5 + 0 + 1/16*d**4 + 0*d**3. Factor h(q).
3*q*(q + 1)**2/2
Let h(n) be the first derivative of -2/27*n**3 - 1 - 2/9*n + 2/9*n**2. Factor h(k).
-2*(k - 1)**2/9
Let r(c) be the third derivative of 0 + 0*c**3 - 1/24*c**4 - c**2 - 1/40*c**5 + 0*c. Determine j, given that r(j) = 0.
-2/3, 0
Let r(o) be the second derivative of o**4/66 - o**2/11 - 6*o. Find j, given that r(j) = 0.
-1, 1
Suppose -2*y = 3*a + y, 0 = -a - 5*y. Factor a + 4/9*n + 2/9*n**2.
2*n*(n + 2)/9
Let r(p) be the first derivative of p**5 + 7*p**4/4 + 2*p**3/3 + 12. Factor r(z).
z**2*(z + 1)*(5*z + 2)
Let x = -14 + -24. Let b = -36 - x. Let -4/3*g - 2/9 - b*g**2 = 0. What is g?
-1/3
Let i = 31/86 - -6/43. Let a(d) be the first derivative of -2*d**3 + 1 + 0*d - 2*d**2 - i*d**4. Let a(z) = 0. Calculate z.
-2, -1, 0
Factor 4/5*l - 2/5 + 0*l**2 - 4/5*l**3 + 2/5*l**4.
2*(l - 1)**3*(l + 1)/5
Suppose 0 = 5*a - 3*z - 19, -z = -0*z + 3. Factor 1/3*r**a - 2/3*r + 0.
r*(r - 2)/3
Let m(k) = -2*k**3 - 5*k**2 - 3*k. Let n be m(-4). Let r be 10/(-9)*n/(-75). Factor -4/9*z**3 + 8/9 + 2/9*z**4 + r*z - 2/3*z**2.
2*(z - 2)**2*(z + 1)**2/9
Suppose 5*l + 70 = -95. Let h be (-30)/(-44) + 6/l. Suppose 0*n**2 + 0 - h*n + 1/2*n**3 = 0. What is n?
-1, 0, 1
Let h(z) = 3 + 4*z**2 + 0 + 4*z**2 + 7*z + z**3. Let u be h(-7). Factor 4 + 119*q**4 - 21*q + 55*q**5 - 6*q**5 - 23*q**2 + 67*q**u + 5*q.
(q + 1)**3*(7*q - 2)**2
Suppose 2*w - 7 = -5*x + 1, -2*w = 2*x - 2. Let g = -3 + 4. Find r such that -g - 4 + 4 - r**2 - x*r = 0.
-1
Factor -4/7*x - 2/7*x**2 + 0.
-2*x*(x + 2)/7
Suppose -5*a - 3*c + 8*c + 35 = 0, 5*a = 4*c + 32. Let w be (-2 - -6)/(6 - a). Suppose x - 1/2 - 1/2*x**w = 0. Calculate x.
1
Let c(i) be the first derivative of i**7/70 - i**6/40 - i**5/20 + i**4/8 - i**2/2 - 3. Let y(u) be the second derivative of c(u). Factor y(g).
3*g*(g - 1)**2*(g + 1)
Let f(g) = -g**4 - g**2 + g - 1. Let w(j) = 3*j**5 - 20*j**4 + 12*j**3 - 5*j**2 + 5*j - 5. Let i(s) = 5*f(s) - w(s). Factor i(k).
-3*k**3*(k - 4)*(k - 1)
Let f(y) = -3*y**2 + 5. Suppose -3*v - x = -v - 7, -10 = -5*v + 5*x. Let g(k) = 2*k**2 - 3. Let i(q) = v*f(q) + 5*g(q). Solve i(l) = 0.
0
Suppose 9 = -4*m + 1. Let j be 8/m*1/(-2). Suppose j*y**3 - y - 7*y**3 + 2*y**3 - 4*y**2 = 0. What is y?
-1, -1/3, 0
Let v be (0 - 0/(-5))*2/(-4). Let c(y) be the third derivative of 0*y**4 + v + 3*y**2 + 0*y**3 - 1/240*y**5 + 0*y. Solve c(q) = 0.
0
Let i(w) be the first derivative of w**4/4 + 20*w**3/3 - 40. Solve i(u) = 0 for u.
-20, 0
Let j(g) = -g + 11. Let u be j(11). Let l(q) be the second derivative of 1/6*q**4 + u + 2*q - q**2 + 0*q**3. Factor l(x).
2*(x - 1)*(x + 1)
Let q(a) = 4*a**4 + a**3 - 6*a**2 + 8*a - 7. Let n(g) = -3*g**4 - g**3 + 7*g**2 - 9*g + 6. Let i(s) = -6*n(s) - 4*q(s). Determine v so that i(v) = 0.
-4, 1
Let x be 12 - (0 + 3 + -2). Suppose -w + 5*d = 23, x + 10 = 3*w + 3*d. Determine f so that 0 + 7*f - 4*f + 8*f**2 + 7*f + 4 + w*f**3 = 0.
-2, -1
Let i(g) = -g**2 + 14*g + 16. Let p be i(15). Let o(f) be the first derivative of 1/3*f**3 + p - f + 0*f**2. Let o(r) = 0. What is r?
-1, 1
Let h(u) be the third derivative of 0*u**3 + 0*u**5 - 1/36*u**4 + 1/180*u**6 + 0 + 0*u - 4*u**2. Factor h(g).
2*g*(g - 1)*(g + 1)/3
Let h be (-20)/10*1/(-3). Suppose -5*j + 2 = -z + 2*z, z + 4*j = 2. Factor -h - 16/3*v**z + 4*v.
-2*(2*v - 1)*(4*v - 1)/3
Let s = 2081/7 - 297. Find n such that 10/7*n + 20/7*n**2 + s*n**5 + 2/7 + 10/7*n**4 + 20/7*n**3 = 0.
-1
Let z = -22 + 24. Suppose z*s + h - 18 - 14 = 0, -s = -2*h - 6. Determine i so that 0 + 21/2*i**5 - 31*i**4 + 65/2*i**3 - s*i**2 + 2*i = 0.
0, 2/7, 2/3, 1
Let y(o) be the second derivative of o**5/80 + o**4/48 - o**3/24 - o**2/8 - 23*o. Factor y(p).
(p - 1)*(p + 1)**2/4
Let c(p) be the third derivative of 2*p**7/525 + p**6/150 - p**5/25 - p**4/30 + 4*p**3/15 + 4*p**2. Solve c(u) = 0 for u.
-2, -1, 1
Let g(r) be the first derivative of 0*r - 77/2*r**4 - 98/5*r**5 + 6 - 64/3*r**3 - 4*r**2. Factor g(b).
-2*b*(b + 1)*(7*b + 2)**2
Let h = 361 + -1073/3. Suppose -12 + 2 = -5*s. Find t such that 0 - 4/9*t + 22/9*t**4 - 2/3*t**5 + s*t**2 - h*t**3 = 0.
0, 2/3, 1
Suppose 3*q - 2*q = -4*u + 8, -4*u = -q. Let k(o) be the first derivative of -2/7*o + 1 - 2/7*o**3 - 3/7*o**2 - 1/14*o**q. Factor k(y).
-2*(y + 1)**3/7
Let x(u) be the first derivative of -u**3/12 + u**2 - 4*u + 11. Factor x(g).
-(g - 4)**2/4
Let d = -48 - -51. Factor 2/5 + 2/5*v**5 + 4*v**2 + 2*v + 2*v**4 + 4*v**d.
2*(v + 1)**5/5
Let y(o) be the first derivative of -o**7/315 - o**6/45 - o**5/15 - o**4/9 - o**3/9 - 2*o**2 + 6. Let w(c) be the second derivative of y(c). Solve w(r) = 0.
-1
Suppose -3*x - 54 = 2*l, 0*l - 36 = 2*x - 2*l. Let d be 126/88 + x/99. Let 7/4*w**2 + 0 - 3/4*w**3 + d*w**5 - 1/2*w - 7/4*w**4 = 0. What is w?
-1, 0, 2/5, 1
Let g(a) = -3*a**2 + 8*a - 2. Let j(m) = 2*m**2 - 8*m + 2. Let n(y) = -4*g(y) - 3*j(y). Let n(w) = 0. Calculate w.
1/3, 1
Let c(z) be the third derivative of -z**6/180 + z**4/3 + z**3 - z**2. Let g(k) be the first derivative of c(k). Factor g(o).
-2*(o - 2)*(o + 2)
Let k(w) = -w**3 - 4*w**2 + 5*w + 3. Let p be k(-3). Let v = 23 + p. Factor -1/3*l - 1/3*l**v + 2/3.
-(l - 1)*(l + 2)/3
Suppose -9 = -4*d + 3. Let k(l) be the third derivative of -1/120*l**5 + 0 + 2*l**2 + 1/48*l**4 + 1/6*l**d + 0*l. Factor k(c).
-(c - 2)*(c + 1)/2
Let q be 117/861*(-6)/(-2). Let k = q - 5/41. Factor 8/7 - 8/7*n + k*n**2.
2*(n - 2)**2/7
Suppose 2/9*f + 4/9 - 2/9*f**2 = 0. Calculate f.
-1, 2
Let l(k) be the second derivative of k**5/20 - 3*k**4/4 + 9*k**3/2 - 27*k**2/2 - 4*k + 2. Find z such that l(z) = 0.
3
Let x(m) = m**2 + m - 6. Let f(n) = -n**2 - n + 5. Let z(p) = -6*f(p) - 5*x(p). Find i, given that z(i) = 0.
-1, 0
Suppose 3*b + 15 = 0, 3*u + 0*u - 29 = 4*b. Let t = 7 + -4. Let