
Let r(t) = -2*t + 1. Let o be r(-2). Let j(q) be the second derivative of 0 - q + 0*q**3 - 1/9*q**6 + 0*q**4 + 0*q**2 - 1/15*q**o. Factor j(h).
-2*h**3*(5*h + 2)/3
Suppose -5*s = 4*o - 4 - 13, 4*s + 5*o = 10. Let m(g) be the first derivative of 0*g**3 + 4 + 0*g**2 - 2/25*g**s + 0*g**4 + 1/15*g**6 + 0*g. Factor m(n).
2*n**4*(n - 1)/5
Let m = 2 - 4. Let k be m/8*-2*1. Factor 1/2 - 1/2*d - k*d**2 + 1/2*d**3.
(d - 1)**2*(d + 1)/2
Let o(t) = -t**2 + t + 1. Let d be 0/(-2)*(5 - 4). Let w(z) = -5*z**2 + 6*z + d + z + 6. Let p(l) = 6*o(l) - w(l). Factor p(m).
-m*(m + 1)
Let o be 4 + (3/18 - 263/66). Factor 2/11*a**2 + o*a**3 + 0*a + 0 - 2/11*a**4 - 2/11*a**5.
-2*a**2*(a - 1)*(a + 1)**2/11
Let q be -3 + (-28)/(-24) + 2. Let i(z) be the second derivative of -3*z - 1/20*z**5 + 0*z**2 + 0 - 1/6*z**3 - q*z**4. Find k, given that i(k) = 0.
-1, 0
Let q be -1 - (4/1 + -7). Factor -1/5 + 7/5*h + h**3 - 11/5*h**q.
(h - 1)**2*(5*h - 1)/5
Let v(n) be the second derivative of n**7/42 + n**6/15 - n**4/6 - n**3/6 + 27*n. Factor v(m).
m*(m - 1)*(m + 1)**3
Factor -1 - 6*d - 6 + 7 - 3*d**2.
-3*d*(d + 2)
Let q(n) be the second derivative of -n**7/399 + n**5/95 - n**3/57 + 2*n. Factor q(c).
-2*c*(c - 1)**2*(c + 1)**2/19
Let k(z) = -18*z**2 + 28*z - 4. Let x = 6 - -1. Let g(u) = -36*u**2 + 55*u - 9. Let s(q) = x*k(q) - 4*g(q). Find n such that s(n) = 0.
2/3
Let y(v) be the third derivative of -v**8/10080 - v**7/2520 - v**5/60 - v**2. Let q(x) be the third derivative of y(x). Factor q(t).
-2*t*(t + 1)
Let q be (1 + -12 - -2) + 1. Let h be ((-4)/q)/(-1) + 2. Factor -1/2*u**3 + h*u**2 + 1/2 - 3/2*u.
-(u - 1)**3/2
Let s(j) be the second derivative of -j**4/6 + 5*j**3/3 + 6*j**2 + 23*j. Determine b, given that s(b) = 0.
-1, 6
Let m = 70043/1722 - 5/574. Let t be (-12)/(-9*1/14). Solve -44/3*r**3 - m*r**2 + 100/3*r**5 - 8/3 - t*r + 130/3*r**4 = 0 for r.
-1, -1/2, -2/5, 1
Let l = -24 + 27. Let c(g) be the third derivative of 11/48*g**4 + 0 - 2/15*g**5 + 7/240*g**6 + 0*g + 2*g**2 - 1/6*g**l. Find h such that c(h) = 0.
2/7, 1
Let 4*c - 5 - 3 - c**2 + 4 = 0. What is c?
2
Let b(m) = 4*m**3 + 27*m**2 + 108*m + 99. Let v(q) = -q**3 - 7*q**2 - 27*q - 25. Let s(h) = -2*b(h) - 9*v(h). Factor s(o).
(o + 3)**3
Find t, given that -1/5*t**2 - 3/5*t**3 + 0*t + 0 - 1/5*t**5 - 3/5*t**4 = 0.
-1, 0
Let v = -28 - -40. Suppose 4 + 24*g**2 - 14*g**3 + v*g**3 - 8*g**4 + 23*g - g = 0. What is g?
-1, -1/4, 2
Let j(f) be the third derivative of 2*f**7/735 - 2*f**5/105 + 2*f**3/21 - 9*f**2 - 3. Let j(s) = 0. Calculate s.
-1, 1
Let p(c) be the first derivative of -c**4/36 + 7*c**3/27 - 11*c**2/18 + 5*c/9 + 29. Suppose p(o) = 0. What is o?
1, 5
Let w = 2 + 6. Suppose w*v = 16 - 0. Factor 4/5*k**v + 2/5*k + 0 + 2/5*k**3.
2*k*(k + 1)**2/5
Let k(a) be the first derivative of 3*a**4/4 + 2*a**3/3 - 3*a**2/2 - 2*a - 3. Factor k(w).
(w - 1)*(w + 1)*(3*w + 2)
Let f(x) be the first derivative of 2/3*x**5 + 4/3*x - 2 + 1/2*x**4 - x**2 - 14/9*x**3. Solve f(i) = 0 for i.
-1, 2/5, 1
Let j(h) be the third derivative of h**7/84 - h**6/15 + h**5/15 - 5*h**3/6 + 3*h**2. Let f(o) be the first derivative of j(o). Factor f(z).
2*z*(z - 2)*(5*z - 2)
Let m(d) be the second derivative of d**4/54 - 2*d**3/27 + d**2/9 - 5*d. Let m(h) = 0. What is h?
1
Let c(j) be the third derivative of j**6/180 - j**5/60 - j**4/6 - j**3/6 + 2*j**2. Let x(o) be the first derivative of c(o). Suppose x(y) = 0. Calculate y.
-1, 2
Let d = -27/2 + 16. Solve v**3 - v + d*v**4 + 0 - 5/2*v**2 = 0 for v.
-1, -2/5, 0, 1
Suppose -4*o = -o + 15. Let k(y) = -3*y**2 - 8*y + 2. Let l(g) = 6*g**2 + 17*g - 5. Let h(b) = o*k(b) - 2*l(b). Factor h(v).
3*v*(v + 2)
Let z(u) = 4*u**4 - 3*u**3 - 6*u**2 - 2*u + 7. Let r(q) = -q**4 + q**2 + q - 1. Let x(g) = -15*r(g) - 3*z(g). Suppose x(c) = 0. Calculate c.
-2, -1, 1
Let v = -584819/270 + 2166. Let w(s) be the third derivative of 0*s + 1/315*s**7 + 0*s**6 + 0 - 3*s**2 + 0*s**4 + 1/756*s**8 + 0*s**3 - v*s**5. Factor w(k).
2*k**2*(k + 1)**2*(2*k - 1)/9
Let v be (1 + 3)*(-2)/(-2). Let x = 3 + 1. Factor -9*m + 7*m - 28*m**3 + x*m**2 - v + 18*m**2 + 12*m.
-2*(m - 1)*(2*m + 1)*(7*m - 2)
Let a = 23/2 + -65/6. Determine t, given that -2/9*t**3 + a*t + 0*t**2 + 4/9 = 0.
-1, 2
Let r(w) = w**2 - 6*w + w**2 - 6 - 3*w**2. Let x be r(-4). Suppose -2/3*b**x - 8/3 - 8/3*b = 0. Calculate b.
-2
Let d be (1/(-3))/(2/(-12)). Factor c**4 + 0*c**4 - 3*c**3 - c**3 - 2*c**d + 5*c**3.
c**2*(c - 1)*(c + 2)
Solve -8*o**2 - 4*o**3 + 17 - 48 + 16*o + 63 = 0.
-2, 2
Let y(t) = 9*t + 92. Let h be y(-10). Suppose 3/2*w**h + 3/2*w + 0 = 0. What is w?
-1, 0
Let h(o) be the first derivative of 1/24*o**4 - 1/2*o - 1/12*o**2 + 1/6*o**3 + 1. Solve h(q) = 0.
-3, -1, 1
Let d(o) = -108*o**2 + 36*o + 15. Let w(j) = 217*j**2 - 73*j - 29. Let c(b) = -7*d(b) - 3*w(b). Factor c(u).
3*(5*u - 3)*(7*u + 2)
Let a(i) = i**3 + 3 + 2 - 5 - i + 1. Let f(l) = -l**4 + 8*l**3 - 6*l**2 + 3. Let h(d) = -4*a(d) + f(d). Factor h(c).
-(c - 1)**4
Let v = 4 + -1. Suppose 2*m = -5*n + 20, -m = -3*n + v*m - 14. Factor -y + 0*y - y**2 + y**3 + 1 + 0*y**n.
(y - 1)**2*(y + 1)
Suppose -3*l - 3*s = -12, 4*s = -3*l + 5 + 9. Let z(d) = d**3 - 3*d**2 + d + 2. Let a be z(l). Factor -2/5*v**4 + a*v + 0*v**2 + 0 + 0*v**3.
-2*v**4/5
Let q(g) be the first derivative of -3*g**4/16 - g**3 - 15*g**2/8 - 3*g/2 - 24. Determine x, given that q(x) = 0.
-2, -1
Let b(c) be the first derivative of 5*c**3/3 + 55*c**2 + 605*c - 36. What is n in b(n) = 0?
-11
Factor 4*n**2 - 29 - 8*n + 42 - 45.
4*(n - 4)*(n + 2)
Let w(z) = -9*z + 1. Let h be w(1). Let k be (6/h)/(27/(-8)). Let 4/9*u**3 + k*u**2 + 0 - 14/9*u**4 + 0*u + 8/9*u**5 = 0. What is u?
-1/4, 0, 1
Let z(y) be the third derivative of -y**5/360 + y**3/9 - 3*y**2. Determine v so that z(v) = 0.
-2, 2
Let y(z) be the second derivative of -4*z**7/3 + 22*z**6/15 + 19*z**5/5 - 13*z**4/3 - 10*z**3/3 + 4*z**2 + 3*z. Determine b, given that y(b) = 0.
-1, -1/2, 2/7, 1
Let a be -3 - 1/(15/(-51)). Solve 0*j**3 + 0*j - 4/5*j**2 + 2/5 + a*j**4 = 0 for j.
-1, 1
Let l(k) be the second derivative of -k**4/6 + 2*k**3/3 - k**2 - 8*k. Factor l(f).
-2*(f - 1)**2
Let n(y) be the third derivative of -2*y**7/105 - y**6/10 - y**5/5 - y**4/6 + y**2. Solve n(x) = 0 for x.
-1, 0
Suppose -3*x = 2*x. Suppose 4*y + 2*o = 7*o - 3, x = -o + 3. Factor -10*p**3 + 19*p**3 + 14*p**4 + 2*p + 30*p**2 + 22*p**3 - 4 + 7*p**y.
2*(p + 1)**3*(7*p - 2)
Let v(g) be the first derivative of g**3/7 - 27*g/7 + 23. Factor v(s).
3*(s - 3)*(s + 3)/7
Let w(b) = -b**2 - b + 42. Let x be w(6). Let l(p) be the first derivative of x*p - 1/9*p**3 - 4 + 1/3*p**2. Factor l(f).
-f*(f - 2)/3
Let f be (-3)/12 + 6/20. Let h(v) be the second derivative of -v + 0*v**3 - 1/12*v**4 + 0 + 0*v**2 - f*v**5. Factor h(i).
-i**2*(i + 1)
Let q(a) = 12*a**3 - 3*a**2 - 20*a + 11. Let r(s) = 4*s**3 - s**2 - 7*s + 4. Let c(p) = -3*q(p) + 8*r(p). Factor c(j).
-(j - 1)*(j + 1)*(4*j - 1)
Factor -2/5 - 4/5*y - 2/5*y**2.
-2*(y + 1)**2/5
Let h = -37/20 + 249/40. Let n = h + -73/24. Suppose n + 1/3*g**2 + 4/3*g = 0. Calculate g.
-2
Let v be (2/(-15)*-5)/(10/3). Factor 0 + 16/5*g**3 + 8/5*g**2 + v*g.
g*(4*g + 1)**2/5
Let g = 10 + -7. Suppose g*z = -15, 4*z + 6 = -2*k - 10. Factor 2 + 5*y**3 - k*y**2 + 4*y**2 + 10*y**2 + 9*y.
(y + 1)**2*(5*y + 2)
Let v(t) be the first derivative of -t**6/6 - t**5 - 7*t**4/4 + t**3/3 + 4*t**2 + 4*t + 27. Let v(w) = 0. What is w?
-2, -1, 1
Let d(c) = -c**3 - 2*c + 1 + 2*c. Let t(v) = 7*v**2 - 5*v**3 - 1 + 15*v**3 + v**2 + v + 7. Let j(p) = -6*d(p) + t(p). Determine s, given that j(s) = 0.
-1/4, 0
Suppose 5*y - 8 = -4*u - 14, 0 = -y - 2*u - 6. Let l(v) be the first derivative of -v**y - 3/5*v**5 - 3 + 4/3*v**3 + 1/2*v**4 - v. Let l(q) = 0. Calculate q.
-1, -1/3, 1
Let d(z) = z**2 - z - 4. Let s be d(-2). Let u = -5/18 - -17/18. Factor 0*c + u*c**s + 0.
2*c**2/3
Let w(o) be the first derivative of -20*o**5/3 + 35*o**4 + 328*o**3/3 + 280*o**2/3 + 32*o + 23. Suppose w(b) = 0. Calculate b.
-1, -2/5, 6
Suppose h = -3*h. Let w(k) be the second derivative of 4*k**2 + 4*k**3 + 13/6*k**4 + 3/5*k**5 + 2*k + 1/15*k**6 + h. Find b, given that w(b) = 0.
-2, -1
Let w(c) = -c + 2. Let q be w(-3). Factor g - 2*g**3 + 0*g**3 - 1 + 3*g**3 - g**4 + g**q + 2*g**2 - 3*g**3.
(g - 1)**3*(g + 1)**2
Let i(u) be the third derivative of