derivative of f**7/105 + f**6/60 - 3*f**2/2 - 5*f. Let z(r) be the first derivative of p(r). Factor z(v).
2*v**3*(v + 1)
Let y(g) be the third derivative of -g**6/40 - g**5/5 - g**4/2 + 6*g**2. Factor y(c).
-3*c*(c + 2)**2
Find q such that -6/5*q - 4/5 - 2/5*q**2 = 0.
-2, -1
Suppose -24 + 24 = -2*j. Determine u, given that j*u**3 + 0 - 2/9*u**4 + 2/9*u**2 + 0*u = 0.
-1, 0, 1
Let i be (2 + 7/(-4))*2. Let k(w) be the first derivative of 0*w**2 + i*w**4 + 0*w + 2 - 2/3*w**3. Determine s so that k(s) = 0.
0, 1
Suppose 4 = k - 3. Suppose 5*h - 2*y = 2*y + k, y - 5 = -h. Solve -6*f**2 - f - h*f**3 - 2 + f**3 - 5*f = 0.
-1
Let x(o) be the second derivative of 0 - o**2 - 1/6*o**4 - o + 2/3*o**3. What is a in x(a) = 0?
1
Let d(z) = -z**3 + 4*z**2 + z. Let x be d(3). Suppose 0*a = 3*a - x. Solve -2*k**4 - 3*k**4 + 3*k**4 - 2*k - 2*k**5 - 2 + 4*k**2 + a*k**3 = 0 for k.
-1, 1
Let x be (-4)/((-16)/(-1)) + (-3)/(-4). Determine r so that 9/2*r**2 - 2*r**3 + x - 3*r = 0.
1/4, 1
Factor -s**2 + s + 0*s**2 + 15 - 5*s - 19.
-(s + 2)**2
Let a = 23 - 20. Factor -5*h - h**3 + h + 8*h**2 + h**4 - 7*h**a + 3*h**3.
h*(h - 2)**2*(h - 1)
Let b = -20134239/130 + 154878. Let i = 1/26 - b. Determine s so that 0*s**2 + 4/5*s**3 + 2/5*s**4 - 2/5 - i*s = 0.
-1, 1
Let b(v) = -v + 14. Let m be b(11). Factor 1 - 6 + 5 + 3*y**2 - m.
3*(y - 1)*(y + 1)
Suppose f + r = -29, -2*r = -0*r - 6. Let x be f/(-14) - 6/21. Factor 0*b**x + b**2 + 2*b + b**2.
2*b*(b + 1)
Let a(g) = -4*g**3 - 14*g**2 - 7*g. Let y(w) = 20*w**3 + 71*w**2 + 34*w - 1. Let j(h) = -33*a(h) - 6*y(h). Suppose j(t) = 0. Calculate t.
-2, -1/2
Suppose 3*u = -4*v - 0*v + 7, 4*u + 8 = -v. Suppose 5 = v*d + d. Determine s, given that s**5 - 2*s**2 - 2*s + d + 3*s - 2*s**4 - 2*s**3 + 3*s**4 = 0.
-1, 1
Suppose c - 9 = -8. Let t(x) be the first derivative of 0*x**3 + 0*x + 1/3*x**2 + 4/15*x**5 - 1/2*x**4 - c. Factor t(y).
2*y*(y - 1)**2*(2*y + 1)/3
Let x = 42 - 30. Let z be 32/x*(-3)/(-2). Find f, given that 0 + 22*f - 5*f**2 + 17*f**2 + z + 6*f**2 = 0.
-1, -2/9
Let n(c) = 3*c**3 - 6*c**2 - c. Let p(m) = 7*m**3 - 13*m**2 - 2*m. Let o(g) = -9*n(g) + 4*p(g). Factor o(i).
i*(i + 1)**2
Let w(i) be the third derivative of i**8/560 + i**7/1050 - i**6/120 - i**5/300 + i**4/60 - 7*i**2. Determine d so that w(d) = 0.
-1, 0, 2/3, 1
Let n(s) be the third derivative of -s**6/240 - s**5/80 + 5*s**3/6 + 4*s**2. Let m(a) be the first derivative of n(a). Factor m(v).
-3*v*(v + 1)/2
Let w(o) be the third derivative of -o**6/300 - o**5/30 - 2*o**4/15 - 4*o**3/15 + 4*o**2. Factor w(d).
-2*(d + 1)*(d + 2)**2/5
Let a(n) be the third derivative of -n**10/5040 - n**9/7560 - n**4/24 + 5*n**2. Let g(i) be the second derivative of a(i). Let g(p) = 0. Calculate p.
-1/3, 0
Suppose 0 = -p - 2*i + 1 + 1, -4*i = 5*p - 10. Factor -3*g**2 + 4*g + 2 - g**2 + 0*g**2 + 6*g**p.
2*(g + 1)**2
Let j(y) = -y**2 + 5*y - 4. Let d be j(3). Suppose -k + d*o = 8, -22 = 2*k - 3*k - 4*o. Factor -k - 2*q**2 - 2*q + 3*q**2 + 3*q.
(q - 1)*(q + 2)
Suppose -2/3 - 2/3*w**3 + 2/3*w**2 + 2/3*w = 0. What is w?
-1, 1
Suppose -5*l + 10 = 5*m, -5*l + 3*m - 2*m = -22. Suppose -1 - 3/2*h**l - 5/2*h + 5/2*h**3 + 5/2*h**2 = 0. What is h?
-1, -1/3, 1, 2
Suppose 0*u - 3*u + 18 = 0. Let c be 6/4*u/3. Factor -2*o**2 - 2 - o**2 - 3*o**2 + 2*o**c + 6*o.
2*(o - 1)**3
Let h(b) be the first derivative of -b**5/90 + b**3/9 - b**2/2 - 3. Let j(p) be the second derivative of h(p). Let j(i) = 0. Calculate i.
-1, 1
Let o be (-4 - 20/(-4)) + 4. Suppose -5*q = -5*r - 10, r + 2 + o = 2*q. Find j such that j**r + 0 - 4/3*j - 4/3*j**4 + 1/3*j**5 + 4/3*j**2 = 0.
-1, 0, 1, 2
Let 3*r**5 - 21*r + 6*r**2 + 12*r**3 + 10*r**4 + 7*r + 15*r = 0. What is r?
-1, -1/3, 0
Let m be (-24)/(-16)*8/6. Factor 2/3 + h**m - 5/3*h.
(h - 1)*(3*h - 2)/3
What is f in 3/5*f**2 + 3/5 + 6/5*f = 0?
-1
Let y(n) be the first derivative of n**3/6 - n**2/2 + n/2 - 8. Factor y(i).
(i - 1)**2/2
Suppose o + 0*o - 2 = 0. Factor -3*g**o - 3 - 9*g + 15*g**2 + 0*g**2.
3*(g - 1)*(4*g + 1)
Factor 4 + 12*w + 12*w**2 - 2*w**3 + 2*w**3 + 0*w**2 + 4*w**3.
4*(w + 1)**3
Suppose 0 = 189*g - 183*g - 18. Determine k, given that 12/5*k**g + 2/5*k**5 + 8/5*k**2 + 0 + 2/5*k + 8/5*k**4 = 0.
-1, 0
Let b(y) be the first derivative of y**5/5 + y**4/2 - y**3 - 2*y**2 + 4*y + 38. Suppose b(w) = 0. Calculate w.
-2, 1
Let b(y) be the first derivative of y**4/12 - y**3/9 - y**2/6 + y/3 + 48. Factor b(j).
(j - 1)**2*(j + 1)/3
Let j(d) be the first derivative of -2*d**4/9 - 10*d**3/9 - 4*d**2/3 + 8*d/9 - 6. Suppose j(l) = 0. Calculate l.
-2, 1/4
Let p = -3 - -3. Let i(u) be the third derivative of 0 - 1/120*u**6 + 0*u + 2*u**2 + p*u**5 + 0*u**3 + 0*u**4. Find r, given that i(r) = 0.
0
Let m(h) be the first derivative of 3*h**5 - 51*h**4/4 + 21*h**3 - 33*h**2/2 + 6*h + 6. Solve m(s) = 0.
2/5, 1
Let g(q) = 16*q**4 + 100*q**3 + 44*q**2 - 16*q - 24. Let i(x) = -3*x**4 - 20*x**3 - 9*x**2 + 3*x + 5. Let p(r) = 5*g(r) + 24*i(r). Find v, given that p(v) = 0.
-2, -1, 0, 1/2
Suppose 0 = -2*a - 0 + 4. Factor -54*w - 2*w**3 + 8*w**2 - 2*w**a + 10*w**2 + 54 + 2*w**2.
-2*(w - 3)**3
Let z be -3 - (-3 + 2)*8. What is y in 5*y**z + 2*y**4 + 4*y + 4*y**2 - 5*y**2 - 8*y**3 + 5*y**2 - 7*y**3 = 0?
-2, -2/5, 0, 1
Factor 64*b**4 - 15*b**3 - 5*b**3 + 4*b**3 + 36*b**5.
4*b**3*(b + 2)*(9*b - 2)
Let s be 60/27 - (-9 - -11). Suppose -s*n**3 + 0*n + 0 + 0*n**2 - 2/9*n**4 = 0. What is n?
-1, 0
Suppose y + 24 = 2*v - y, 0 = v + y - 20. Factor v*n - 6*n**2 + 4*n**4 - 16*n + 3*n**3 - n**4.
3*n**2*(n - 1)*(n + 2)
Let f(o) = -5*o**2 - 10*o + 10. Let s(c) = c**3 - c**2 + c. Let w(t) = -f(t) - 5*s(t). Factor w(i).
-5*(i - 2)*(i - 1)*(i + 1)
Let m(y) be the third derivative of 0 + 1/300*y**5 - 1/840*y**8 - 1/1050*y**7 - 1/120*y**4 + 4*y**2 + 1/200*y**6 + 0*y**3 + 0*y. Let m(p) = 0. What is p?
-1, 0, 1/2, 1
Let y(k) be the third derivative of k**6/210 + k**5/210 - 5*k**4/84 + 2*k**3/21 - 3*k**2. Solve y(h) = 0.
-2, 1/2, 1
Let -4*z**3 - 11*z**4 + 8*z**5 + 7*z**4 - 4*z**5 + 4*z**2 = 0. Calculate z.
-1, 0, 1
Let d = -4 + 6. Let -11*z**4 - 4*z + 2*z**4 - 12*z**3 - 12*z**3 - 4*z - 22*z**d - 1 = 0. Calculate z.
-1, -1/3
Let s(v) be the first derivative of -2*v**3/9 + 2*v**2/3 - 14. Factor s(w).
-2*w*(w - 2)/3
Let k(t) be the first derivative of t**6/3 + 8*t**5/5 + 3*t**4 + 8*t**3/3 + t**2 + 2. Solve k(a) = 0.
-1, 0
Let i(r) be the first derivative of 9 - 2/3*r**2 - 1/9*r**3 - 4/3*r. Factor i(y).
-(y + 2)**2/3
Let r(x) be the third derivative of x**6/240 + x**5/120 - 5*x**2. Suppose r(z) = 0. Calculate z.
-1, 0
Let j(x) be the third derivative of -x**5/30 - x**4/3 + 4*x**3 + 22*x**2. Find a such that j(a) = 0.
-6, 2
Let v(x) be the first derivative of x**4/16 - 6. Solve v(b) = 0.
0
Let j(s) be the second derivative of 3/16*s**4 + 0 - 7/24*s**3 + 1/4*s**2 + 3*s - 1/16*s**5 + 1/120*s**6. Find c, given that j(c) = 0.
1, 2
Let a = 2/89 - -172/267. Let a*b**3 - 2/3*b - 2/3*b**2 + 2/3 = 0. What is b?
-1, 1
Let u(k) = 3*k**3 - 10*k**2 + 11*k + 1. Let j(v) = -v**3 + v**2 - 1. Let a(z) = -10*j(z) - 2*u(z). Factor a(g).
2*(g - 1)*(g + 4)*(2*g - 1)
Factor 8*r**4 + 414*r**5 - 832*r**5 + 12*r**3 + 414*r**5.
-4*r**3*(r - 3)*(r + 1)
Let a(l) = 5*l - 10. Let z be a(2). Suppose -k + 3*n + 18 = 0, 7*k + 5 = 2*k - 4*n. Suppose z - 2/3*c + 0*c**2 + 2/3*c**k = 0. Calculate c.
-1, 0, 1
Suppose -10 = -12*k + 38. Let 0*n + 0*n**3 - 2/7*n**k + 0 + 2/7*n**2 = 0. Calculate n.
-1, 0, 1
Suppose 12*u = 6*u + 12. Determine z, given that 0 - 2/3*z**u - 1/3*z + 0*z**3 + 2/3*z**4 + 1/3*z**5 = 0.
-1, 0, 1
Let s = 7 + -4. What is j in -3*j**5 + 24*j**2 - 7*j**2 - 61*j**s - 48*j + 4*j**3 + 21*j**4 + 58*j**2 + 12 = 0?
1, 2
Let p(j) be the first derivative of j**4 - 8*j**3/3 + 2*j**2 + 3. Factor p(z).
4*z*(z - 1)**2
Suppose -12*d - 99*d**2 + 103*d**2 + 8 + 0 = 0. What is d?
1, 2
Let p(d) be the first derivative of 4*d**3/3 + 6*d**2 + 26. Solve p(j) = 0.
-3, 0
Let i(q) = -q - 7. Let v be i(-13). Factor -2 + v*r**3 - 6*r - 3 + 2*r**2 + 1 + 2*r**4.
2*(r - 1)*(r + 1)**2*(r + 2)
Let r(b) be the first derivative of b**6/30 + b**5/15 - b**4/6 - 2*b**3/3 - 4*b**2 + 4. Let q(v) be the second derivative of r(v). Factor q(z).
4*(z - 1)*(z + 1)**2
Determine j so that -2*j**2 + j**3 - 2*j**3 + 3*j**3 + 8*j**4 + 4*j**3 = 0.
-1, 0, 1/4
Let x be (-6*3/30)/(1/(-5)). 