e b(-2). Let y(f) be the first derivative of 0*f - 2 + 0*f**3 + s*f**2 + 1/18*f**4. Factor y(n).
2*n**3/9
Let z(a) be the first derivative of 3*a**4/4 + 4*a**3 + 21. Factor z(f).
3*f**2*(f + 4)
Suppose -9 = 5*b - 4*y, -2*b + 0*b = -2*y + 4. Let k be ((-1)/(-3))/(b/(-19)). Factor -16*w**3 - k*w - 56/3*w**2 - 2/3.
-(3*w + 2)*(4*w + 1)**2/3
Let h(c) = -22*c**3 + 46*c**2 - 44*c + 14. Let s(b) = -23*b**3 + 45*b**2 - 44*b + 15. Let w(u) = -7*h(u) + 6*s(u). Determine y, given that w(y) = 0.
1/4, 1, 2
Let v be (9/2 + -3)/(30/40). Factor 0*f - 2/9*f**v - 2/9*f**3 + 0.
-2*f**2*(f + 1)/9
Suppose 0 = -2*c - 2 + 8. Let m(i) be the second derivative of -1/3*i**c + 1/10*i**5 + 0 + 1/6*i**4 - i**2 - i. Let m(n) = 0. What is n?
-1, 1
Let 50/3*g - 14/9*g**2 + 44/9 = 0. Calculate g.
-2/7, 11
Factor 0 + 3/4*d**2 + 0*d.
3*d**2/4
Let q(l) be the first derivative of l**7/70 - l**6/15 + 3*l**5/25 - l**4/10 + l**3/30 + 7*l - 6. Let x(y) be the first derivative of q(y). Factor x(d).
d*(d - 1)**3*(3*d - 1)/5
Let f = 1396/5 + -278. Solve -f - 2/5*m**2 - 8/5*m = 0 for m.
-3, -1
Suppose 2*r + 12 = 4*p, 3*r + 4*p = -0*r + 12. Determine f so that r*f - 2/3*f**2 + 2/3 = 0.
-1, 1
Let b = 7/145 - -3/58. Let x(z) be the second derivative of 1/7*z**7 - 2/3*z**3 - z + 0*z**2 - b*z**5 + 5/6*z**4 + 0 - 1/3*z**6. Determine n so that x(n) = 0.
-1, 0, 2/3, 1
Let p(v) = 15*v**2 + 6*v. Suppose 4*x + 0*u + 8 = -4*u, -u - 5 = 4*x. Let d(a) = -a**2. Let g(l) = x*p(l) - 12*d(l). Find s such that g(s) = 0.
-2, 0
Let i(q) = 16*q**2 + q - 2. Let o(g) = -3*g**2. Let f(c) = -3*i(c) - 15*o(c). What is m in f(m) = 0?
-2, 1
Let p be (2 + 4)*1/3. Solve -3*r**2 + r**3 + 10 - p*r - 10 + r**3 = 0 for r.
-1/2, 0, 2
Suppose 0*u = u + 3, 0 = 3*r + 3*u. Let x = r + 0. Factor x*m - 3*m + m**2 - m**3.
-m**2*(m - 1)
Let y be (-112)/(-20) + -7 + 2. Factor -y + 3/5*o**3 + 3/5*o**2 - 3/5*o.
3*(o - 1)*(o + 1)**2/5
Let b(h) = h**3 + 2*h**2 - h. Let f be b(-2). Let s(d) be the first derivative of 2/3*d**3 + 2 - 1/4*d**4 + 0*d + 0*d**f. Factor s(w).
-w**2*(w - 2)
Let z(s) = 2 + s + 1 + 5*s**2 + 0*s**2 + 3*s. Let b(g) = g**2 + 1. Let p(i) = -3*b(i) + z(i). Suppose p(w) = 0. What is w?
-2, 0
Let c(x) be the third derivative of 0*x**3 + 0*x**4 - 2*x**2 - 1/240*x**6 + 0*x + 0*x**5 + 0. Factor c(r).
-r**3/2
Factor -4*r**5 - 15*r**4 + 0*r**5 - 8*r**2 + 4*r + 23*r**4.
-4*r*(r - 1)**3*(r + 1)
Let k(d) = 1 + 22*d**2 - 2*d**3 - 3 - 28*d**2 - 10*d. Let l(n) = -4*n + 6. Let i be l(4). Let q(x) = -x - 1. Let m(p) = i*q(p) + k(p). Solve m(t) = 0 for t.
-2, 1
Suppose 28*t = 13*t. Determine a so that 0*a + t + 1/3*a**3 - 1/3*a**2 = 0.
0, 1
Let d(b) be the third derivative of b**8/168 - b**7/105 - 11*b**6/60 + 29*b**5/30 - 13*b**4/6 + 8*b**3/3 - 37*b**2. Factor d(x).
2*(x - 2)*(x - 1)**3*(x + 4)
Let f(y) be the first derivative of 2*y**3/21 - 4*y**2/7 - 10*y/7 - 68. Let f(x) = 0. What is x?
-1, 5
Let p be (-1 - 2)/(2 - 3). Let w(v) be the third derivative of -1/45*v**6 + 0*v**p + 0*v - v**2 + 0 - 1/18*v**5 - 1/36*v**4. Factor w(r).
-2*r*(r + 1)*(4*r + 1)/3
Suppose -i - 3*i = -48. Factor 17*v**3 + 4*v**4 - 9*v**3 - 8*v - i*v**2 - 8*v**3.
4*v*(v - 2)*(v + 1)**2
Let j = 5 + -2. Suppose j*w = w + 10. Factor 0*i - 2*i**2 + i + 2*i**w + i**4 - 2*i**3 + 1 - i**5.
(i - 1)**2*(i + 1)**3
Let y(i) be the second derivative of -1/3*i**3 - 1/10*i**5 + 0 + 0*i**2 - 1/3*i**4 + 2*i. Let y(f) = 0. What is f?
-1, 0
Let o(x) be the third derivative of x**6/360 + 7*x**5/180 + 2*x**4/9 + 2*x**3/3 + 5*x**2. Let o(w) = 0. What is w?
-3, -2
Let q(o) be the second derivative of 8*o + 0 - 1/3*o**2 - 1/54*o**4 - 4/27*o**3. What is k in q(k) = 0?
-3, -1
Let x(s) = 12*s - 58. Let j be x(5). Determine a, given that 0 - 2/7*a + 2/7*a**3 + 2/7*a**j - 2/7*a**4 = 0.
-1, 0, 1
Let t be (1/3 - -1)/((-20)/(-6)). Factor 0*j + 0 + 2/5*j**3 - t*j**2.
2*j**2*(j - 1)/5
Let z(m) be the first derivative of -7*m**4 + 8*m**3/3 + 14*m**2 - 8*m - 9. Factor z(f).
-4*(f - 1)*(f + 1)*(7*f - 2)
Suppose 14*b - 28 = 7*b. Let l(s) be the third derivative of 1/4*s**5 + 0 + 0*s**3 + 0*s + s**2 - 1/4*s**b. Suppose l(j) = 0. What is j?
0, 2/5
Let v(s) be the third derivative of s**5/40 - s**4/8 + s**3/4 - 4*s**2. Suppose v(l) = 0. Calculate l.
1
Let b(q) = -q + 1. Let l(s) = 4*s**2 - 49*s - 15. Let z(c) = 2*b(c) + l(c). Factor z(n).
(n - 13)*(4*n + 1)
Let i = -11 - -13. Suppose -2 - 4 = -i*v. Factor 7*w**v - 5*w + w**3 - 10*w**2 + 7*w.
2*w*(w - 1)*(4*w - 1)
Factor 8/9 + 2/9*m**2 + 8/9*m.
2*(m + 2)**2/9
Let w = -2 - -8. Let a be 12/w + 4/(-5). Factor 0*c + 2/5*c**3 + a*c**2 - 8/5.
2*(c - 1)*(c + 2)**2/5
Let v(s) = 2*s**5 - 10*s**4 - 12*s**3 - 12*s**2 + 4. Let g(t) = -t**5 + 10*t**4 + 13*t**3 + 11*t**2 - 3. Let b = 6 - 9. Let p(k) = b*v(k) - 4*g(k). Factor p(x).
-2*x**2*(x + 1)*(x + 2)**2
Let y(b) be the third derivative of 0*b + 0 - 1/42*b**3 - 1/1470*b**7 - 5*b**2 + 1/210*b**5 + 0*b**4 + 0*b**6. Determine w so that y(w) = 0.
-1, 1
Suppose -y + 1 + 2 = 0. Let i(r) = -r - 5. Let h be i(-7). Determine j, given that -j - j**h + j + j**y = 0.
0, 1
Let s(g) be the third derivative of g**7/2520 - g**6/720 - g**4/12 - 3*g**2. Let t(p) be the second derivative of s(p). Determine y so that t(y) = 0.
0, 1
Factor 32/7*c**2 + 18/7 + 48/7*c.
2*(4*c + 3)**2/7
Let h(r) be the third derivative of -r**5/330 - r**4/132 + r**2. Suppose h(z) = 0. Calculate z.
-1, 0
Let h(g) = 2*g**5 - 10*g**4 + 6*g**3 + 26*g**2 - 23*g - 17. Let v(s) = s**5 - 5*s**4 + 3*s**3 + 13*s**2 - 11*s - 9. Let w(i) = 3*h(i) - 7*v(i). Factor w(c).
-(c - 3)*(c - 2)**2*(c + 1)**2
Let g(o) be the first derivative of 2*o**3/39 - o**2/13 - 4*o/13 - 1. Factor g(k).
2*(k - 2)*(k + 1)/13
Let i be 15/4*1*-4. Let y be -1 - (-3 - i/(-6)). Factor 0 + r**2 + y*r**3 + 7/2*r**4 + 0*r.
r**2*(r + 1)*(7*r + 2)/2
Let f(y) = y + 7. Let j be f(-5). Suppose -10 = -j*z - 6. Suppose z + 13/2*r**2 - 3*r**3 - 6*r + 1/2*r**4 = 0. Calculate r.
1, 2
Let l(i) = 2*i + 3. Let a be l(1). Let m(y) be the third derivative of 0*y**a - 1/40*y**6 - 1/140*y**7 + 0*y + 1/8*y**4 - y**2 + 0 + 1/4*y**3. Factor m(r).
-3*(r - 1)*(r + 1)**3/2
Let a(d) = d - 1. Let m(g) = -21*g**2 - 42*g + 18. Suppose 0*j - 6 = -j. Let i(p) = j*a(p) + m(p). Find z such that i(z) = 0.
-2, 2/7
Let o = 32 - 10. Let f = o - 18. Factor 1/4 + 1/4*c**f + 1/4*c - 1/2*c**3 - 1/2*c**2 + 1/4*c**5.
(c - 1)**2*(c + 1)**3/4
Suppose a = -3*a + 8. Factor x**3 + 5*x**3 + 6*x**4 + 0*x**2 + a*x**5 + 2*x**2.
2*x**2*(x + 1)**3
Let c = -103 - -619/6. Let i(u) be the first derivative of 0*u + 0*u**2 - 3/8*u**4 - 1/12*u**6 - c*u**3 - 1 - 3/10*u**5. Suppose i(o) = 0. What is o?
-1, 0
Let r = 49 - 72. Let n be 1 - (r/3 - -4). Let -4/3*p + 0 + n*p**4 + 4/3*p**3 - 14/3*p**2 = 0. Calculate p.
-1, -2/7, 0, 1
Let g(v) be the second derivative of -1/3*v**4 - 1/3*v**3 + 2/15*v**6 + 4*v + 1/21*v**7 + 0*v**2 + 0 + 0*v**5. Solve g(l) = 0 for l.
-1, 0, 1
Let t be -3*-2*(-1)/(-2). Let c = -1 + t. Factor z**3 + 3/2*z**2 - 1/2*z**4 - c - 2*z.
-(z - 2)**2*(z + 1)**2/2
Let r(h) = -4*h + 52. Let u be r(12). Let 8/3*l + 8/3*l**3 - 4*l**2 - 2/3 - 2/3*l**u = 0. Calculate l.
1
Let c(h) = -12*h**3 + 11*h**2 + 5*h - 5. Let t(j) = -1 - j - 2*j - 6*j**2 + 6*j**3 + 4 + 0*j**2. Let g(u) = 3*c(u) + 5*t(u). Find o, given that g(o) = 0.
0, 1/2
Suppose -3*c + 3*m = 2*c + 7, 4*c - 5*m + 3 = 0. Let l = c + 2. Factor l + 2/3*r - 1/3*r**2.
-r*(r - 2)/3
Solve 18*n**4 + 4*n**5 - 3*n**5 + 6 + 27*n + 48*n**2 + 2*n**5 + 42*n**3 = 0 for n.
-2, -1
Let f be ((-2)/20)/((-180)/100). Let t(h) be the second derivative of f*h**4 + 0*h**3 - 1/3*h**2 + 0 - h. Factor t(x).
2*(x - 1)*(x + 1)/3
Let q(s) be the third derivative of s**5/20 - 3*s**4/8 + s**3 - 4*s**2. Factor q(i).
3*(i - 2)*(i - 1)
Let u(o) be the first derivative of -o**5/180 + o**4/36 + 2*o**2 + 4. Let t(y) be the second derivative of u(y). Let t(h) = 0. Calculate h.
0, 2
Let a = 118 - 118. Let d(k) be the second derivative of a*k**2 - 3/20*k**5 + 0 - 1/2*k**4 - 1/2*k**3 - 2*k. Factor d(p).
-3*p*(p + 1)**2
Let a be 2 - ((-2)/6 + 4/2). Let w(u) be the first derivative of -1/24*u**6 - 1/2*u**2 + 2 + 3/16*u**4 + 0*u + 1/10*u**5 - a*u**3. Factor w(t).
-t*(t - 2)**2*(t + 1)**2/4
What is a in 0 + 1/3*a**5 + 1/3*a - 4/3*a**4 - 4/3*a**2 + 2*a**3 = 0?
0, 1
Let m(z) be the second derivative of -z**6/12 + 3*z**5/8 - 5*z**4