 - 9*i + 10*i + i.
2*i*(i + 1)**2
Let h(y) be the second derivative of 5*y - 1/9*y**3 + 0*y**4 + 1/15*y**5 - 1/63*y**7 + 0 + 0*y**2 + 0*y**6. Factor h(s).
-2*s*(s - 1)**2*(s + 1)**2/3
Let s(h) be the first derivative of -1/7*h**2 - 4/7*h + 2/21*h**3 + 1. Factor s(g).
2*(g - 2)*(g + 1)/7
Let 11*f**2 - f**5 + f**4 - 11*f**2 = 0. What is f?
0, 1
Let x(o) be the first derivative of -2/27*o**3 + 2 + 0*o - 2/45*o**5 + 1/9*o**4 + 0*o**2. Suppose x(v) = 0. Calculate v.
0, 1
Let m be (21 - 22) + 22/4. Let v(c) be the first derivative of m*c**2 + 3*c + 3*c**3 - 2 + 3/4*c**4. Solve v(g) = 0.
-1
Find o, given that 2/3*o**5 - 8/3*o**2 + 0 + 2/3*o - 8/3*o**4 + 4*o**3 = 0.
0, 1
Let g be 0 + -4 + 48/9. Let n = 104/3 - 34. Factor -n + g*s - 2/3*s**2.
-2*(s - 1)**2/3
Factor -114/7*t**2 + 3/7*t**5 + 75/7*t**3 + 12*t - 24/7*t**4 - 24/7.
3*(t - 2)**3*(t - 1)**2/7
Let w(r) be the first derivative of -r**6/15 - r**5/10 + r**4/6 + r**3/3 - 2*r + 1. Let v(o) be the first derivative of w(o). Determine m, given that v(m) = 0.
-1, 0, 1
Let z(l) be the first derivative of -l**4/36 + l**3/18 + l**2/3 - l - 3. Let t(x) be the first derivative of z(x). Factor t(s).
-(s - 2)*(s + 1)/3
Let a be ((-1)/(-4))/((-91)/14). Let c = a + 8/39. Factor c*j**4 - 1/3*j**2 + 0*j + 0*j**3 + 1/6.
(j - 1)**2*(j + 1)**2/6
Let k(u) = u**2 + 3*u + 2. Let d be k(-3). Let w = 2 - d. Factor 0*j - 1/3*j**5 + 1/3*j**3 + 0 + w*j**2 + 0*j**4.
-j**3*(j - 1)*(j + 1)/3
Let y(s) be the second derivative of 0 - 1/12*s**4 + 1/20*s**5 + 1/2*s**2 - 1/6*s**3 + 4*s. Determine z so that y(z) = 0.
-1, 1
Let h(v) be the second derivative of 1/4*v**4 + 3*v**2 - 3/2*v**3 + 4*v + 0. Factor h(y).
3*(y - 2)*(y - 1)
Let h(v) be the first derivative of -v**4/2 + 9. Solve h(d) = 0.
0
Let x(z) be the first derivative of -2*z**6/3 + 2*z**4 - 2*z**2 - 23. Determine n, given that x(n) = 0.
-1, 0, 1
Let t(y) be the third derivative of -y**5/90 + 15*y**2. Factor t(d).
-2*d**2/3
Let y(c) = 5*c**2 - 20*c - 23. Let s(h) = 1. Let i(t) = -2*s(t) + y(t). Factor i(z).
5*(z - 5)*(z + 1)
Suppose r = 4*r - 25*r. Factor 6/7*v**4 + 2/7*v**2 - 2/7*v**5 + 0 + r*v - 6/7*v**3.
-2*v**2*(v - 1)**3/7
Let 7*p**2 + 235*p**3 - 27*p**2 + 4 - 223*p**3 + 4*p = 0. What is p?
-1/3, 1
Let q(v) be the second derivative of v**4/28 - 2*v**3/7 - 15*v**2/14 - 36*v. Factor q(n).
3*(n - 5)*(n + 1)/7
Let m = -36 + 22. Let c be (-8)/14*m/4. Factor -c*q**2 + 2*q**3 - 4*q**2 + 4*q**2.
2*q**2*(q - 1)
Let f(j) be the third derivative of -1/360*j**6 + 0 + 0*j + 1/72*j**4 - 1/9*j**3 + 1/90*j**5 + 5*j**2. Factor f(v).
-(v - 2)*(v - 1)*(v + 1)/3
Let b(d) be the second derivative of -d**8/2520 + d**7/1260 + d**6/270 - 2*d**3/3 + 2*d. Let q(r) be the second derivative of b(r). Factor q(f).
-2*f**2*(f - 2)*(f + 1)/3
Let a = 10 - -5. Factor 5*z - 3 + 7*z + 3*z**2 + a.
3*(z + 2)**2
Let w(n) be the first derivative of -n**6/540 - n**5/180 + n**3 + 1. Let x(m) be the third derivative of w(m). Factor x(y).
-2*y*(y + 1)/3
Let f(v) be the third derivative of -2*v**7/35 - v**6/15 + v**5/15 + 5*v**2. Let f(q) = 0. Calculate q.
-1, 0, 1/3
Let c(a) be the first derivative of a**7/2520 - a**6/1080 + a**3 - 3. Let w(q) be the third derivative of c(q). Let w(h) = 0. What is h?
0, 1
Suppose 0*u - 2*u - 1520 = -5*f, -4*u - 2*f - 3040 = 0. Let o be 6/15 + u/(-350). Factor 12*g + 14*g**2 + o.
2*(7*g + 3)**2/7
Let t(q) be the first derivative of 4*q**5 - 5*q**4/4 - 5*q**3 - 12. Let t(a) = 0. Calculate a.
-3/4, 0, 1
Suppose -5*n = -3*n + 2*f - 40, 0 = -2*n - 5*f + 55. Suppose -6*p + p = -n. Determine t, given that 5*t**3 + t**2 - 2*t - 1 - 4*t**p + t = 0.
-1, 1
Let -1/5*f**2 - 2 - 11/5*f = 0. What is f?
-10, -1
Suppose 0 = 4*m + 4*o - 38 - 2, 4*o = 0. Suppose -p - 2*l - 1 = 5, -5*p + m = 2*l. Factor 2 - 125/4*s**p + 13*s - 25/4*s**3 + 45/2*s**2.
-(s - 1)*(5*s + 2)**3/4
Let w(f) = 3*f + 6. Let l be w(-2). Let i(k) be the third derivative of 0*k**4 - 1/300*k**5 + 1/1050*k**7 + l + 0*k**3 + 0*k - 3*k**2 + 0*k**6. Factor i(z).
z**2*(z - 1)*(z + 1)/5
Let i(c) be the first derivative of 0*c**2 - 3 + 0*c - 1/6*c**3. Suppose i(r) = 0. What is r?
0
Suppose 1/2 + 1/2*n**2 + n = 0. Calculate n.
-1
Factor 6/13*f + 2/13*f**3 + 8/13*f**2 + 0.
2*f*(f + 1)*(f + 3)/13
Let y(i) be the first derivative of -i**6/16 + 3*i**5/20 - i**3/4 + 3*i**2/16 + 20. Factor y(j).
-3*j*(j - 1)**3*(j + 1)/8
Suppose d**2 - 4*d**3 - 4*d**2 - d**2 + 2*d + 2*d + 4 = 0. Calculate d.
-1, 1
Let v(z) = z**2 - z + 1. Let g(x) = -5*x**2 + 7*x + 4. Let i(f) = g(f) - 4*v(f). Let l(o) = -5*o**2 + 6*o. Let u(b) = 6*i(b) - 11*l(b). Factor u(n).
n**2
Let c(y) = 2*y. Let o be c(1). Factor -2/11*u**o + 6/11 + 4/11*u.
-2*(u - 3)*(u + 1)/11
Let h be (-6)/(-9) - (-26)/6. Let l = h + -5. Solve 4/3*b**2 + 25/3*b**4 + 20/3*b**3 + 0 + l*b = 0.
-2/5, 0
Let m be -1 + 2 - 12/3. Let n be (-30)/(-2)*m/(-9). Factor 5 - 4 + 9*l + n + 3*l**2.
3*(l + 1)*(l + 2)
Factor 1/3*i**5 - 1/3 + 1/3*i - 1/3*i**4 + 2/3*i**2 - 2/3*i**3.
(i - 1)**3*(i + 1)**2/3
Let -4*i**2 + 2*i**2 - 58 - 24*i - 14 = 0. What is i?
-6
Suppose -f = l - 51, 2*l = -2*l + 3*f + 204. Let s be 2/(-5) + l/15. Determine d so that -2*d**3 + s*d**2 - d**2 + 0*d**2 = 0.
0, 1
Suppose 4*d - 3*x = 23, 4*d - 3*x - 2*x = 33. Let z = 1/28 + 5/7. Factor 1/4*i**d - z*i + 1/2.
(i - 2)*(i - 1)/4
Factor 6*i**5 + 3*i**2 + 9*i**4 - 9*i**3 - i**5 - 8*i**5.
-3*i**2*(i - 1)**3
Let d(k) be the third derivative of -4*k**2 + 0 + 0*k + 1/135*k**6 + 0*k**5 - 1/108*k**4 + 0*k**3. Factor d(i).
2*i*(2*i - 1)*(2*i + 1)/9
Let q(i) be the first derivative of -14*i**3/3 + 11*i**2/2 + 3*i + 38. Factor q(m).
-(m - 1)*(14*m + 3)
Let z = 43 - 38. Let i(b) be the third derivative of 0 + 7/30*b**6 + 0*b + 2/3*b**3 - 19/20*b**z + 0*b**4 + 4*b**2. Solve i(s) = 0.
-1/4, 2/7, 2
Let j = 1133 + -1131. Factor 2/3*p**j + 32/3 + 16/3*p.
2*(p + 4)**2/3
Factor -1/2*f**3 - 1/4*f**5 - 1/2*f**2 + 3/4*f**4 + 3/4*f - 1/4.
-(f - 1)**4*(f + 1)/4
Factor 5*a**5 - 19*a**3 + 11*a**3 - a**5 + 4*a.
4*a*(a - 1)**2*(a + 1)**2
Let g(v) be the second derivative of -v**7/42 + v**6/15 + v**5/10 - 2*v**4/3 + 7*v**3/6 - v**2 - 10*v. Suppose g(i) = 0. What is i?
-2, 1
Let z(g) = g - 4. Let u be z(6). Suppose 2*c = 8 + u. What is a in 0*a**5 - a**3 + 0*a**3 + a**c = 0?
-1, 0, 1
Let n be ((-15)/6)/((-1)/2). Factor -8*s**3 - 4*s**2 - 4 + 5*s + 3*s + n*s**2 + 3*s**2.
-4*(s - 1)*(s + 1)*(2*s - 1)
Let f(n) = -4*n + 44. Let v be f(11). Factor -2/13*r**3 + 0*r + v*r**2 + 0.
-2*r**3/13
Let r be ((-20)/25)/((-6)/105). Let q = -12 + r. Find t, given that 2/3*t**q + 2*t + 4/3 = 0.
-2, -1
Let v(j) be the second derivative of -j**4/36 + j**3/6 - j**2/3 - 22*j. Find g, given that v(g) = 0.
1, 2
Suppose 0 = -5*y + 4*k, y + 3*k = 8*k. Find g such that 2/3*g**2 + 2/3*g + y = 0.
-1, 0
Let l(n) = 5*n**3 - 14*n**2 + 32*n - 6. Let z(p) = -10*p**3 + 27*p**2 - 66*p + 13. Let t(u) = -13*l(u) - 6*z(u). Let t(g) = 0. Calculate g.
0, 2
Let y be 0 - (12 - 13)*(-6)/(-2). Suppose 26/3*b**2 + 8/3 + b**y - 3*b**4 - 28/3*b = 0. What is b?
-2, 2/3, 1
Let n(m) be the first derivative of 3*m**5/80 - m**4/8 + m**3/8 - m - 7. Let t(u) be the first derivative of n(u). Factor t(y).
3*y*(y - 1)**2/4
Let b(t) = -t**3 - t**2 + 3*t - 4. Let j be b(-3). Let k(p) = p**2 - 5*p + 7. Let g be k(j). What is d in -245/4*d**4 - 2 + g*d - 203/4*d**3 + 39/2*d**2 = 0?
-1, -2/5, 2/7
Let h(w) be the first derivative of 35*w**6/6 - 30*w**5 + 125*w**4/2 - 200*w**3/3 + 75*w**2/2 - 10*w + 28. Factor h(i).
5*(i - 1)**4*(7*i - 2)
Let x(h) be the second derivative of -h**8/6720 + h**7/3360 + h**3/6 + h. Let k(d) be the second derivative of x(d). Suppose k(t) = 0. Calculate t.
0, 1
Let s(q) be the second derivative of -3*q**5/20 - q**4 - 5*q**3/2 - 3*q**2 - 3*q. Suppose s(c) = 0. Calculate c.
-2, -1
Let h(p) be the third derivative of p**8/30240 - p**7/3780 + p**6/1080 - p**5/60 - 4*p**2. Let b(u) be the third derivative of h(u). What is a in b(a) = 0?
1
Let -1/2*z + 1 - 1/4*z**2 + 1/8*z**3 = 0. Calculate z.
-2, 2
Suppose 23 = -12*f + 71. Factor -4/7 + 6/7*y**3 - 1/7*y**f - 13/7*y**2 + 12/7*y.
-(y - 2)**2*(y - 1)**2/7
Let n(p) be the third derivative of p**6/120 + p**5/20 + p**4/12 - 18*p**2. Factor n(v).
v*(v + 1)*(v + 2)
Suppose 0 = -4*x + 3*w - 1, 0 = 4*x + w - 6 - 5. Factor 0 - 16/5*l - 24/5*l**2 + 36/5*l**3 - x*l**4.
-2*l*(l -