0 - n**4/48 + n**3/3 - n**2. Let c(f) be the first derivative of i(f). Factor c(r).
(r - 2)*(r + 1)/4
Let g(n) be the second derivative of 3*n + 1/42*n**4 + 0*n**3 - 1/7*n**2 + 0. Factor g(o).
2*(o - 1)*(o + 1)/7
Let z(h) be the first derivative of -h**5/60 + 2*h + 4. Let c(w) be the first derivative of z(w). Factor c(d).
-d**3/3
Let f = 24 + -30. Let h be 8/f*(-120)/32. Find o, given that 0*o - 2/5*o**4 + 0 + 0*o**3 + 0*o**2 + 2/5*o**h = 0.
0, 1
Let v(f) be the third derivative of -f**5/30 - f**4/3 - f**3 + 17*f**2. What is n in v(n) = 0?
-3, -1
Let a = -3 + 7. Let k be a - (7/1 + -3). Solve 0*t + 0 + 2/5*t**2 + k*t**3 - 2/5*t**4 = 0.
-1, 0, 1
Factor 64*i**2 - 40 + 28*i - 36*i**2 - 32*i**2.
-4*(i - 5)*(i - 2)
Let x(b) be the second derivative of b**4/4 - b**3 - 16*b. Factor x(n).
3*n*(n - 2)
Let y(m) be the second derivative of -m**4/60 + m**3/15 - m**2/10 + 9*m. Find d such that y(d) = 0.
1
Suppose 0 = y - 2*y. Suppose 4*x = 8 - 0. Determine n so that -1/4*n**5 + y - 1/2*n**x + 0*n**4 + 3/4*n**3 + 0*n = 0.
-2, 0, 1
Let x be (-2)/42 - ((-24)/4)/18. Factor 6/7*y**2 + 0 - x*y**3 - 4/7*y.
-2*y*(y - 2)*(y - 1)/7
Let z(c) be the third derivative of c**6/240 + c**5/24 + c**4/12 - 27*c**2. Factor z(s).
s*(s + 1)*(s + 4)/2
Let g = -30 + 32. Suppose -d - 6 = 2*d, -g*d - 13 = -3*q. Suppose -1/4*x + 1/2*x**2 - 1/4*x**q + 0 = 0. What is x?
0, 1
Let s(m) be the first derivative of 0*m**2 + 0*m - 1/3*m**3 + 0*m**4 + 1/5*m**5 + 2. Let s(k) = 0. What is k?
-1, 0, 1
Let y(m) be the first derivative of -m**3/2 - 3*m**2/4 + 3*m + 2. Factor y(v).
-3*(v - 1)*(v + 2)/2
Let s(k) be the second derivative of -2/3*k**3 - 5/24*k**4 + 0 - 1/40*k**5 + 4*k - k**2. Factor s(d).
-(d + 1)*(d + 2)**2/2
Let i(m) = -m**3 + 4*m**2 + 6*m - 1. Let q be i(5). Suppose 0 = -q*z + 2*z. Find v such that 0*v**3 + 4/3*v**5 + 0 + 2/3*v**2 + z*v - 2*v**4 = 0.
-1/2, 0, 1
Let a(q) be the second derivative of q**6/240 - q**5/160 - q**4/96 + q**3/48 + 9*q. Let a(l) = 0. Calculate l.
-1, 0, 1
Let v(a) = a**2 - 6*a + 7. Let h(j) = j + 11. Let g be h(-6). Let s be v(g). Solve -4/3*t**5 + 4/3*t**3 + s*t**4 + 0*t + 2/3 - 8/3*t**2 = 0 for t.
-1, -1/2, 1
Suppose 3*m - 9 = -0*m. Suppose 2*i**2 + 5*i + m*i**3 + 0*i - i - 5*i**3 = 0. Calculate i.
-1, 0, 2
Let q be (-4)/(-16) - (-121)/(-28). Let f = q + 32/7. Factor 0 - i**2 - f*i**3 - 1/2*i.
-i*(i + 1)**2/2
Let z(s) be the second derivative of -s**6/20 + 33*s**5/80 - 13*s**4/16 + s**3/2 - 10*s. Suppose z(f) = 0. What is f?
0, 1/2, 1, 4
Factor -2/5 - 2/5*h**2 - 4/5*h.
-2*(h + 1)**2/5
Let m be (2 - 2*-3) + 2. Suppose 2 = -2*u + m. Solve g**2 + g**u + 0*g**2 + g**3 - g - 2*g**2 = 0.
-1, 0, 1
Let h = 15 + -9. Suppose -2*p + 4*i = -8, h = 3*p + 2*p - 3*i. Let -2/3*f - 1/3*f**3 + p + f**2 = 0. Calculate f.
0, 1, 2
Let b(k) = k + 10. Let r be b(-7). Factor 0*m**2 - 5*m**4 + 4*m**4 + 0*m**2 - 3*m + 2 - m**2 + r*m**3.
-(m - 2)*(m - 1)**2*(m + 1)
Let w = 11/35 - -2/7. Factor -w - 3/5*b**2 - 6/5*b.
-3*(b + 1)**2/5
Suppose 7*d - 9*d = -4. Find c, given that -1/2*c - 1/4 - 1/4*c**d = 0.
-1
Let s(n) be the first derivative of -1/12*n**6 + 0*n**2 + 0*n**5 + 0*n**3 + 1 + 0*n + 0*n**4. Determine d, given that s(d) = 0.
0
Suppose -r = 3*k + 13, 5*k = r - 25 - 2. Factor 2*j**2 + 6*j + 2*j**2 + 2 - 4*j**3 + 8*j**4 - r*j**5 - 14*j**4.
-2*(j - 1)*(j + 1)**4
Factor 6/7*m**3 + 0 - 3/7*m**4 + 0*m - 3/7*m**2.
-3*m**2*(m - 1)**2/7
Let n be (0 - 10/3) + 4. Let h(o) be the first derivative of -1/3*o**4 + 0*o + n*o**3 - 2 - 1/3*o**2. Factor h(g).
-2*g*(g - 1)*(2*g - 1)/3
Let m(v) be the second derivative of 0*v**2 + 5*v + 0 + 1/6*v**3 - 1/6*v**4 + 1/20*v**5. Factor m(x).
x*(x - 1)**2
Let h(v) = -v - 13. Let k be h(-8). Let d(n) = 3*n**2 + 6*n - 3. Let u(r) = 3*r**2 + 5*r - 3. Let z(m) = k*d(m) + 6*u(m). Factor z(w).
3*(w - 1)*(w + 1)
Let d(y) = -y**2 + 13*y + 3. Let b = 45 + -32. Let i be d(b). What is n in -3/2*n**2 - 1/2 - 3/2*n - 1/2*n**i = 0?
-1
Let y = -3 - -7. Let u be (y/(-30))/((-3)/10). Determine x, given that -2/3*x + 2/9*x**3 + 0*x**2 - u = 0.
-1, 2
Suppose 2 = 3*u - u. Let x be u + 39/(-15) + 2. Suppose 2/5*h**2 - 2/5*h + 2/5*h**3 - x = 0. Calculate h.
-1, 1
Solve 51 + 3*m**2 + 192 + 84*m - 30*m = 0.
-9
Let o(j) be the third derivative of -j**7/140 - j**6/20 - j**5/10 - 13*j**2. Factor o(l).
-3*l**2*(l + 2)**2/2
Let v be (2 + -4)*1 - 2. Let h be (0 - -6)*(-2)/v. Find g, given that g**3 + g**2 - h*g + g**2 + 4*g = 0.
-1, 0
Let g be -3 + ((-250)/(-14))/5. Factor -2/7*l**3 + 0 - 2/7*l + g*l**2.
-2*l*(l - 1)**2/7
Find y, given that -y + 16*y**2 + 2*y - 9*y - 10*y**3 + 2*y**4 = 0.
0, 1, 2
Let r(t) be the third derivative of t**10/10080 - t**9/2520 - t**8/2240 + t**7/420 - t**4/6 + 4*t**2. Let m(b) be the second derivative of r(b). Solve m(z) = 0.
-1, 0, 1, 2
Let i(c) be the second derivative of -20*c**7/231 + 19*c**6/55 - 29*c**5/110 - 2*c**4/11 + 4*c**3/33 + c. Find u such that i(u) = 0.
-2/5, 0, 1/4, 1, 2
Let m(c) = c**2. Let a(x) = -x**2 + 2*x. Let y(z) = -a(z) + 6*m(z). Solve y(g) = 0 for g.
0, 2/7
Let k(y) be the first derivative of -3/2*y**4 - 19/5*y**3 + 12/5*y + 3 + 18/5*y**2 + 27/25*y**5 + 2/5*y**6. Find b, given that k(b) = 0.
-2, -1/4, 1
Let r be (-3 - (-27)/6)*(-104)/(-36). Suppose 4*u + 2*u**3 + 4/3 + r*u**2 + 1/3*u**4 = 0. What is u?
-2, -1
Let x = 17 - 8. Suppose 0 = -2*c + x - 1. What is j in -2/3*j**3 + 8/3*j**c + 2/3*j - 8/3*j**2 + 0 = 0?
-1, 0, 1/4, 1
Let a(s) = -3*s**4 - 6*s**3 + 15*s**2 - 6*s - 3. Let k(g) = g**5 + 6*g**4 + 11*g**3 - 30*g**2 + 12*g + 7. Let m(b) = -7*a(b) - 3*k(b). Factor m(h).
-3*h*(h - 1)**3*(h + 2)
Let v(z) be the first derivative of -z**5/100 - z**4/60 + z**3/15 - 3*z + 3. Let o(i) be the first derivative of v(i). Solve o(q) = 0.
-2, 0, 1
Let x(s) be the first derivative of s**4/16 - 7*s**3/12 + 15*s**2/8 - 9*s/4 - 4. Solve x(o) = 0 for o.
1, 3
Let x = -5 + 7. Let 2*v**2 - 3*v**x - v**2 = 0. What is v?
0
Let s(b) = -50*b**3 + 45*b**2 + 45*b - 40. Let h(q) = q**4 - q**2 + q - 1. Let v(g) = -5*h(g) - s(g). Determine n, given that v(n) = 0.
-1, 1, 9
Let r(z) = -21*z**3 + 78*z**2 - 84*z + 27. Let b(l) = 3*l**3 - 11*l**2 + 12*l - 4. Let f(j) = 27*b(j) + 4*r(j). Determine k so that f(k) = 0.
0, 1, 4
Let r(n) be the second derivative of n**6/15 - n**5/10 - n**4/6 + n**3/3 - 5*n. Factor r(i).
2*i*(i - 1)**2*(i + 1)
Let j(u) be the first derivative of -u**3/4 - 9*u**2/4 - 27*u/4 - 1. Solve j(v) = 0.
-3
Let k(n) be the first derivative of -2*n**3/21 - n**2/7 - 4. Factor k(r).
-2*r*(r + 1)/7
Let g(y) be the second derivative of y**5/110 - y**4/33 - y**3/11 + 32*y. Find j, given that g(j) = 0.
-1, 0, 3
Factor 4/7 - 26/7*x**3 + 2/7*x - 10/7*x**4 - 18/7*x**2.
-2*(x + 1)**3*(5*x - 2)/7
Suppose 15 + 1 = 4*v. Let w(y) be the second derivative of 1/36*y**v - 1/9*y**3 + y + 0 + 1/6*y**2. Determine d so that w(d) = 0.
1
Determine n so that 3/2*n**2 + 27/2 + 9*n = 0.
-3
Let r = 23 - 21. Factor 2*j**3 - 4*j - 9*j**r + 7*j - 3*j**4 + 9*j**3 - 2*j**3.
-3*j*(j - 1)**3
Let u(j) = 2*j**4 - 4*j**2 - 6. Let x(s) = -2*s**4 + s**3 + 5*s**2 - s + 7. Let l(f) = -5*u(f) - 4*x(f). Find v such that l(v) = 0.
-1, 1
Let z(h) = h**2 + 4*h - 1. Let v be z(-5). Factor -1/5*c**3 + 0*c**2 + 0*c + 0*c**v + 0 + 1/5*c**5.
c**3*(c - 1)*(c + 1)/5
Factor 0 - 1/6*c**3 + 0*c - 1/3*c**4 + 0*c**2 - 1/6*c**5.
-c**3*(c + 1)**2/6
Suppose -15*g**3 - 72*g**2 + 75/4*g**4 + 60*g - 12 = 0. Calculate g.
-2, 2/5, 2
Suppose -q - 9 = 2*q. Let m = q + 5. Factor m*c**3 - 3*c**3 + 3*c**3 - 4*c**3.
-2*c**3
Factor 9/4*v**2 + 1/4*v**4 + 3/2*v**3 + v + 0.
v*(v + 1)**2*(v + 4)/4
Suppose 0 = -0*b + 2*b. Solve b + 3 - 2*q - 4 - q**2 + 0*q = 0 for q.
-1
Let l be 182/105 + (-4)/(-6) - -4. Solve 2/5*m + 0 + l*m**3 - 16/5*m**2 = 0.
0, 1/4
Determine s, given that 0 + 2/3*s - 8/3*s**3 - 2*s**2 = 0.
-1, 0, 1/4
Let z(d) = d**2 - d - 27. Let k be z(6). Factor -2*j**k + 8/3 - 8*j + 22/3*j**2.
-2*(j - 2)*(j - 1)*(3*j - 2)/3
Let y(v) be the first derivative of -1/2*v**2 + 0*v - v**3 - 1/2*v**4 + 2. Find t, given that y(t) = 0.
-1, -1/2, 0
Let v(i) be the third derivative of -i**7/105 - i**6/12 - 3*i**5/10 - 7*i**4/12 - 2*i**3/3 + 9*i**2. Solve v(t) = 0.
-2, -1
Let g(i) be the first derivative of 32*i**6/3 - 32*i**5/5 - 71*i**4 + 124*i**3/3 + 56*i**2 + 16*i + 55. What is l in g(l) = 0?
-2, -1/4, 1, 2
Let q = 286/5 +