m = 11 - -11. Let n(f) = f**3 + 11*f**2 - 12*f. Let v(r) = 0*r**2 + 0*r**2 - r + r**2. Let l(o) = m*v(o) - 2*n(o). Suppose l(z) = 0. Calculate z.
-1, 0, 1
Let n(p) be the third derivative of -p**9/52920 - p**8/7840 - p**7/2940 - p**6/2520 - p**4/24 + p**2. Let q(f) be the second derivative of n(f). Solve q(j) = 0.
-1, 0
Let s be 15/(-10) + (-5)/(-3). Let t(y) be the first derivative of 0*y**2 - 4 - 1/2*y + s*y**3. What is j in t(j) = 0?
-1, 1
Let n(z) be the first derivative of z**4/6 - z**3/3 - z - 1. Let a(t) be the first derivative of n(t). What is q in a(q) = 0?
0, 1
Let i(m) be the second derivative of -m**4/3 - 8*m**3/3 + 10*m**2 - 12*m. Find l, given that i(l) = 0.
-5, 1
Let y(s) = 11*s**4 + 9*s**3 - 81*s**2 + 85*s - 24. Let c(n) = 10*n**4 + 10*n**3 - 80*n**2 + 85*n - 25. Let f(k) = 6*c(k) - 5*y(k). Factor f(p).
5*(p - 1)**3*(p + 6)
Let w(x) be the third derivative of -x**7/105 - x**6/60 + 6*x**2. Solve w(a) = 0 for a.
-1, 0
Let r(z) be the third derivative of -z**7/11340 - z**6/3240 - z**4/8 - 4*z**2. Let x(w) be the second derivative of r(w). Suppose x(f) = 0. What is f?
-1, 0
Let t(b) be the first derivative of 2*b**6/3 + 8*b**5/5 + b**4 - 49. Factor t(g).
4*g**3*(g + 1)**2
Let m(a) be the second derivative of -a**4/30 - a**3/15 - a. Find r such that m(r) = 0.
-1, 0
Let s(t) be the first derivative of -5/3*t**4 - 3*t - 1/3*t**6 - t**2 + t**5 + 1/21*t**7 + 5/3*t**3 - 2. Let c(j) be the first derivative of s(j). Factor c(p).
2*(p - 1)**5
Solve -21*f**4 - 5*f**3 + 36*f**4 - 4*f**5 + 10*f - 15*f**2 - f**5 = 0.
-1, 0, 1, 2
Suppose -4*v = -3*v - 2. Factor -8/5*c**v + 6/5*c**4 + 0*c**3 + 0*c + 0 + 2/5*c**5.
2*c**2*(c - 1)*(c + 2)**2/5
Factor 5/8*o**3 - 3/8*o**2 + 0 - 9/8*o - 1/8*o**4.
-o*(o - 3)**2*(o + 1)/8
Let w(y) = 15*y**5 + 9*y**4 + 9*y**2 - 9*y - 9. Let m(h) = 7*h**5 + 4*h**4 + 4*h**2 - 4*h - 4. Let s(u) = 9*m(u) - 4*w(u). Factor s(c).
3*c**5
Suppose 4/3 + 7/3*s + 1/6*s**3 + 7/6*s**2 = 0. Calculate s.
-4, -2, -1
Let n(l) be the first derivative of 5/6*l**2 + 4/9*l**3 + 2/3*l - 2 + 1/12*l**4. Factor n(j).
(j + 1)**2*(j + 2)/3
Suppose k**2 - 3*k**2 + 5*k**2 + 2*k**4 - 3*k**3 - k**4 - k = 0. Calculate k.
0, 1
Let -4/21*q + 0*q**3 - 2/7*q**2 + 0 + 2/21*q**4 = 0. What is q?
-1, 0, 2
Let q(v) be the first derivative of 3*v**5 - 5*v**4 - 10*v**3/3 + 10*v**2 - 5*v + 1. Solve q(l) = 0 for l.
-1, 1/3, 1
Factor 5*c**3 + 6*c**5 - 10*c**5 - c**3.
-4*c**3*(c - 1)*(c + 1)
Let a(s) be the third derivative of s**8/448 - s**7/280 - s**6/160 + s**5/80 - 2*s**2. Factor a(u).
3*u**2*(u - 1)**2*(u + 1)/4
Let m(u) be the third derivative of 2*u**7/105 - u**6/10 + u**5/5 - u**4/6 + 8*u**2. Factor m(g).
4*g*(g - 1)**3
Suppose 5*a - 25 = -5*k, -2*a - 4*k + k = -10. Suppose -3*l + a*u = 1, -4*u + 20 = 3*l + l. Solve 0*d**l + 0 + 0*d + 1/2*d**2 - 1/2*d**4 = 0.
-1, 0, 1
Let i(l) = -l**4 - 2*l**3 + 5*l**2 - 2*l - 4. Let b(n) = 2*n**4 + 3*n**3 - 9*n**2 + 4*n + 7. Let g(x) = -4*b(x) - 7*i(x). Determine s, given that g(s) = 0.
-1, 0, 1, 2
Suppose 0 = -m - v - 6, -4*v = -3*m - m - 8. Let w = m - -6. Find r, given that -r**2 + r**4 + 0*r + r**3 - 2 - r + w = 0.
-1, 0, 1
Let m(v) = 19*v**3 - 11*v**2 - 8*v + 5. Let n(j) = -9*j**3 + 5*j**2 + 4*j - 3. Let f(u) = 3*m(u) + 5*n(u). Factor f(o).
4*o*(o - 1)*(3*o + 1)
Let z(l) be the third derivative of 0*l + 0 - 4*l**2 + 1/2*l**3 + 1/4*l**4 + 1/20*l**5. Factor z(b).
3*(b + 1)**2
Factor -2/13*v**2 - 4/13*v + 0.
-2*v*(v + 2)/13
Let h(u) be the first derivative of u**6/21 - 2*u**4/7 + 4*u**3/21 + 3*u**2/7 - 4*u/7 + 15. Factor h(c).
2*(c - 1)**3*(c + 1)*(c + 2)/7
Let f(k) = -17*k - 30. Let d be f(-2). Let 0 - 1/4*h**2 + 0*h + 0*h**3 + 1/4*h**d = 0. Calculate h.
-1, 0, 1
Let f(l) be the second derivative of -1/24*l**4 + 1/4*l**2 + 0 - 1/80*l**5 + 1/24*l**3 + l. Factor f(n).
-(n - 1)*(n + 1)*(n + 2)/4
Factor -7/2 - 1/2*s**3 + 13/2*s - 5/2*s**2.
-(s - 1)**2*(s + 7)/2
Let v = 7167 - 286661/40. Let h(t) be the second derivative of t**2 + 25/84*t**7 - 23/24*t**4 + t + v*t**5 + 11/12*t**6 + 0 - 2/3*t**3. Factor h(u).
(u + 1)**3*(5*u - 2)**2/2
Suppose 24 = 2*z + 5*h, -3*h = -0*h - 12. Find x such that 4 - 5*x**2 + 4*x - 5*x + 3*x + 3*x**z = 0.
-1, 2
Suppose v = -3*v + 16. Let d be (1 + 2)*v/42. Suppose 4/7*s - d*s**2 - 2/7 = 0. Calculate s.
1
Let d(f) be the first derivative of 1/9*f**6 + 2/5*f**5 - f**2 + 1/3*f**4 - 6 - 2/3*f - 4/9*f**3. Factor d(l).
2*(l - 1)*(l + 1)**4/3
Factor -13*m + 23*m - 12*m - 25*m**2 - 8*m.
-5*m*(5*m + 2)
Let d = -3 + -7. Let m = -6 - d. Let o(u) = -2*u**2 - 3*u - 1. Let x(j) = -2*j**2 - 3*j - 1. Let f(i) = m*x(i) - 3*o(i). Factor f(r).
-(r + 1)*(2*r + 1)
Let a(j) be the second derivative of -1/273*j**7 + 5*j + 1/195*j**6 + 1/130*j**5 + 0*j**2 + 0 + 0*j**3 - 1/78*j**4. Suppose a(s) = 0. What is s?
-1, 0, 1
Let g(r) = 2*r**4 + 8*r**3 + 10*r**2 + r + 3. Let i(y) = -2*y**4 - 8*y**3 - 10*y**2 - 4. Let x(n) = -4*g(n) - 3*i(n). Suppose x(f) = 0. What is f?
-2, -1, 0
Let b(v) = -9*v**2 + 27*v + 2. Let n be b(3). Suppose -u**4 - 1/2*u**3 + 0*u**n + 0*u + 0 - 1/2*u**5 = 0. What is u?
-1, 0
Let x(j) be the second derivative of 0*j**3 - 3/14*j**7 - 1/20*j**5 + 0 + 0*j**4 + 2*j + 1/5*j**6 + 0*j**2. Find f, given that x(f) = 0.
0, 1/3
Factor -2/7 - 2/7*g + 2/7*g**2 + 2/7*g**3.
2*(g - 1)*(g + 1)**2/7
Factor 6 + 3/2*d**3 - 9/2*d**2 + 0*d.
3*(d - 2)**2*(d + 1)/2
Let o(j) be the third derivative of 0*j**3 + 0*j**5 + 0*j**4 + j**2 + 0*j + 1/105*j**7 - 1/168*j**8 + 1/30*j**6 + 0. Factor o(y).
-2*y**3*(y - 2)*(y + 1)
Let g be 38/5 + (-6)/10. Factor g*b - 2*b - 2 + 9*b**2 + 0 - 5*b**3 - 7*b**4.
-(b - 1)*(b + 1)**2*(7*b - 2)
Suppose -5*a = -9 - 6. Factor 30 - 24 + a*j**2 + 0*j**2 + 9*j.
3*(j + 1)*(j + 2)
Let n(d) be the second derivative of 0*d**2 - 2*d - 1/10*d**5 + 0 + 1/6*d**4 + 0*d**3. Factor n(j).
-2*j**2*(j - 1)
Let d be (1 + (-3 - -2))/1. Factor -2/3*g**2 + d + 2/3*g.
-2*g*(g - 1)/3
Factor -4/3 - 2*c - 2/3*c**2.
-2*(c + 1)*(c + 2)/3
Factor 0*b**3 - b**3 - 3*b**2 + 4*b**3 + 0*b**3.
3*b**2*(b - 1)
Suppose 52 = -4*y + 4*f, -4*f + 62 = -0*y - 5*y. Let d be (-26)/(-10) - 4/y. Factor 3 + 0 - 3*r**2 + 1 - d*r - 5 - r**3.
-(r + 1)**3
Let k(o) be the first derivative of 0*o - 2/5*o**2 - 2/15*o**3 + 5. Factor k(q).
-2*q*(q + 2)/5
Let k be (-136)/(-16) - (2 - 3). Let p = k + -9. Find x such that -p - 1/4*x**2 - 3/4*x = 0.
-2, -1
Let j(n) be the third derivative of n**8/60480 - n**7/5040 + n**6/1080 - n**5/60 + n**2. Let y(x) be the third derivative of j(x). Let y(b) = 0. Calculate b.
1, 2
Factor -3*f**2 - 52*f**5 + 3*f**4 + 53*f**5 - f - f**3 + f.
f**2*(f - 1)*(f + 1)*(f + 3)
Let o be (-16)/(-4) + 10 - -3. Let g = 22 - o. Factor 21/2*s**4 + 0*s + 8*s**3 + 9/2*s**g + 2*s**2 + 0.
s**2*(s + 1)*(3*s + 2)**2/2
Let m(f) = 15*f**5 + 17*f**4 + 2*f**3 - 4*f**2 - 4*f + 4. Let o(x) = -15*x**5 - 16*x**4 - x**3 + 5*x**2 + 5*x - 5. Let g(w) = -5*m(w) - 4*o(w). Factor g(i).
-3*i**3*(i + 1)*(5*i + 2)
Let m(w) be the second derivative of w**5/70 - 2*w**4/7 + 16*w**3/7 - 64*w**2/7 - 3*w. Factor m(h).
2*(h - 4)**3/7
What is o in 35*o**2 - 16 - 76*o**2 - 112*o**4 + 138*o**2 + 139*o**2 - 108*o**3 = 0?
-2, -1/4, 2/7, 1
Determine m so that 10*m**2 - 11*m**2 - 5*m**3 + 3*m**3 = 0.
-1/2, 0
Suppose -5*u = -23 - 2. Let t = u - 2. Find n, given that -15*n**t - 14*n**3 - 22*n**2 + 5*n**3 - 4*n = 0.
-2/3, -1/4, 0
Let y be -2 - ((-50)/15 - 0). Factor -1/3 + y*a + 5/3*a**2.
(a + 1)*(5*a - 1)/3
Let x(y) = -5*y - 1. Let v be x(-1). Suppose 5*p = v*p + 2. Determine w so that 0*w**2 - 5*w**p + w + 4*w**2 = 0.
0, 1
Let o(i) be the second derivative of i**5/40 - i**3/4 - i**2/2 + 4*i. Factor o(a).
(a - 2)*(a + 1)**2/2
Let x = 31 - 213/7. Factor 8/7*s**2 + 2/7*s**3 + 10/7*s + x.
2*(s + 1)**2*(s + 2)/7
Let n(t) = -t**2 + t. Let j(k) = -6*k**2 + 14*k. Suppose 3*c - 2*y = -7, 5*c + 3*y - 20 = -0*c. Let r(u) = c*j(u) - 8*n(u). Factor r(i).
2*i*(i + 3)
Let w(a) = a**2 + 3. Let v be w(0). Factor -2*f - f**2 + f**v + 3 - 3.
f*(f - 2)*(f + 1)
Let p be (-2)/(-3) + (-40)/96. Factor p + 1/4*w - 1/4*w**3 - 1/4*w**2.
-(w - 1)*(w + 1)**2/4
Let l(i) be the second derivative of -1/12*i**4 - 1/2*i**2 + i + 1/3*i**3 + 0. Let l(w) = 0. What is w?
1
Let t be (-11)/(-33) - (-2)/24*2. Factor 1/2*i**5 + 0*i + 1/2*i**4 - t*i**3 + 0 - 1/2*i**2.
i**2*(i - 1)*(i + 1)**2/2
Let h = 19/2 - 91/10. Let