/3*i + 1/3*i**5 + 1/3*i**4 - l*i**3 - 2/3*i**2 + h.
(i - 1)**2*(i + 1)**3/3
Let j be 4 + 6/((-6)/2). Factor -j*q**2 + q**5 - q + 2*q**3 - 2*q + 3*q**4 + 4*q**4 - 1 - 4*q**4.
(q - 1)*(q + 1)**4
Let l(d) be the first derivative of -d**5/210 + 2*d**4/21 - 16*d**3/21 - 3*d**2 - 4. Let i(y) be the second derivative of l(y). Let i(f) = 0. What is f?
4
Let q(r) be the first derivative of -r**8/140 - r**7/280 + r**6/30 + r**5/40 + 10*r**3/3 + 6. Let x(o) be the third derivative of q(o). Factor x(g).
-3*g*(g - 1)*(g + 1)*(4*g + 1)
Let c = -21 - -39. Suppose -38*z + 34*z - 98*z**2 - c + 88*z = 0. Calculate z.
3/7
Factor 4*j**2 - 5*j + 6*j**3 - 4*j**3 - j**4 - 3*j.
-j*(j - 2)**2*(j + 2)
Let a(x) be the first derivative of 2*x**5/13 + x**4/13 - 10*x**3/39 - 2*x**2/13 + 18. Solve a(k) = 0 for k.
-1, -2/5, 0, 1
Factor 0 - 6/11*h + 2/11*h**2.
2*h*(h - 3)/11
Let m(j) be the third derivative of j**7/840 - j**6/90 + j**5/30 + j**3/6 - 9*j**2. Let u(d) be the first derivative of m(d). Factor u(f).
f*(f - 2)**2
Let c(l) be the third derivative of 0*l + 1/6*l**3 - 1/120*l**6 - 1/8*l**4 + 0 - l**2 + 1/20*l**5. Let c(a) = 0. Calculate a.
1
Let g(w) be the third derivative of w**5/390 - w**4/78 + w**3/39 + 9*w**2. Solve g(o) = 0 for o.
1
Suppose 3*n - 6 = v + 1, -2*n + 3 = v. Factor -44*q - 24*q - 36 - q**3 + 8*q - 3*q**3 - 28*q**n.
-4*(q + 1)*(q + 3)**2
Let v(p) = 2*p**5 + 6*p**4 - 2*p**2. Let f(w) = w**5 - 4*w**4 - w**2 + 10*w**4 + w**3 - 5*w**4. Let u(m) = 6*f(m) - 2*v(m). Solve u(j) = 0 for j.
0, 1
Let y be ((-61)/(-366))/((-10)/(-36)). Find t, given that 0 + 3/5*t - y*t**3 - 3/5*t**4 + 3/5*t**2 = 0.
-1, 0, 1
Let z(v) = v - 7. Let y be z(0). Let h = -2 - y. Let 0*x**2 + 1/2*x**h + 0*x + 0 + 1/2*x**4 + 0*x**3 = 0. What is x?
-1, 0
Suppose -m = o - 16, 8*o - 48 = -3*m + 4*o. Let i(s) be the first derivative of -5*s**2 - 8*s**4 - s**2 + 6*s**4 - s - m*s**3 - 2 - 14*s**4. Factor i(n).
-(4*n + 1)**3
Factor -2/3*o**2 + 0*o + 0.
-2*o**2/3
Let u(z) be the second derivative of -z**4/24 - 5*z**3/12 + 7*z**2/2 - 24*z. Factor u(a).
-(a - 2)*(a + 7)/2
Determine n so that 0 - 4/5*n + 3/5*n**3 - 1/5*n**4 + 0*n**2 = 0.
-1, 0, 2
Let a be (-2)/(-22)*(-38)/6. Let f = a + 10/11. Find l, given that 2/3*l + f*l**2 - 1 = 0.
-3, 1
Let c(b) be the first derivative of 2*b**3/45 + b**2/5 + 4*b/15 - 7. Factor c(w).
2*(w + 1)*(w + 2)/15
Let q = -15 + 15. Let x(s) be the first derivative of q*s + 2 - 2/27*s**3 + 0*s**2. Factor x(j).
-2*j**2/9
Let s(n) be the second derivative of -n**7/840 - n**6/360 + n**5/120 + n**4/24 - n**3/6 - 2*n. Let l(h) be the second derivative of s(h). Solve l(z) = 0 for z.
-1, 1
Suppose -4*w - 2*u = -u - 1, -5 = -w - 5*u. Let -6*h**4 - 2*h**3 - h**2 + 5*h**4 + w*h**2 = 0. What is h?
-1, 0
Let g(t) = 2*t**4 + 3*t**3 - 2*t**2 - 3*t. Let s(c) = -c**4 - c**3 + c**2 + c. Let i(m) = -3*g(m) - 8*s(m). Factor i(a).
a*(a - 1)*(a + 1)*(2*a - 1)
Let i = -23 + 26. Solve 10/3*j**2 - 1/3*j**5 - 5/3*j + 5/3*j**4 - 10/3*j**i + 1/3 = 0 for j.
1
Factor -1/2 + 3/4*t**3 - 2*t**2 + 7/4*t.
(t - 1)**2*(3*t - 2)/4
Suppose -3*j = 4*q - 6, 4*q = -q + 2*j - 4. Let 4/11*x**3 + 0*x + 0 + 14/11*x**4 + q*x**2 = 0. What is x?
-2/7, 0
Suppose -q + 4*p - 2*p = 9, -22 = 2*q - 5*p. Let t be 2 + (-3)/7 + q. Find l, given that -2/7*l + 0 - 2/7*l**3 + t*l**2 = 0.
0, 1
Let c(i) be the third derivative of i**5/210 - 3*i**4/7 + 108*i**3/7 + 4*i**2 - 5. Factor c(z).
2*(z - 18)**2/7
Let q(g) be the first derivative of 2*g**2 - 2/5*g**5 - g**4 + 2/3*g**3 + 4 + 0*g. Factor q(v).
-2*v*(v - 1)*(v + 1)*(v + 2)
Let x(v) be the second derivative of v**4/12 + 5*v**3/6 - 2*v**2 - 3*v. Let k be x(-6). Factor -1/2*g**k + g - 1/2.
-(g - 1)**2/2
Let j(z) be the second derivative of -1/6*z**3 - z - 1/60*z**5 + 0*z**4 + 0*z**2 + 1/180*z**6 + 0. Let t(b) be the second derivative of j(b). Factor t(k).
2*k*(k - 1)
Let v(n) = -2*n - 10. Let x be v(-5). Let k(b) be the second derivative of 1/48*b**4 + x*b**2 + b + 0 - 1/24*b**3. Suppose k(c) = 0. Calculate c.
0, 1
Suppose 2/13*a**4 - 4/13*a**3 + 0 + 0*a + 2/13*a**2 = 0. Calculate a.
0, 1
Let d(o) be the second derivative of 3/4*o**4 + 3/2*o**2 - 3/2*o**3 - 7*o + 0 - 3/20*o**5. Let d(n) = 0. What is n?
1
Let q = 1049/5 - 209. Factor -4/5*r - 1/5*r**2 - q.
-(r + 2)**2/5
Let n(u) be the third derivative of 0*u**3 - 1/45*u**5 + 0 + 0*u + 3*u**2 - 1/36*u**4 - 1/180*u**6. What is f in n(f) = 0?
-1, 0
Suppose 0*k - 3*c = -5*k, -k + 2*c = 0. What is w in -2/3*w**2 - 4/3*w + k = 0?
-2, 0
Suppose a**2 - 5/4*a + 1/4 = 0. What is a?
1/4, 1
Let t(g) be the first derivative of -g**4/18 + 8*g**3/27 + 1. Let t(m) = 0. What is m?
0, 4
Let c be (-2 - -1) + 0 + (1 - 0). Factor -2/5*h**3 + c - 8/5*h + 8/5*h**2.
-2*h*(h - 2)**2/5
Let b = 2 + 0. Suppose -2*a - i = -b*i, -4*i + 16 = 0. Factor -2 + a + 2*l**2.
2*l**2
Let k(o) be the second derivative of 0 + 0*o**2 - 1/210*o**6 + 4*o + 1/70*o**5 + 1/84*o**4 - 1/21*o**3. Factor k(f).
-f*(f - 2)*(f - 1)*(f + 1)/7
Let b(d) be the third derivative of 1/9*d**3 + 1/12*d**4 + 2*d**2 + 1/30*d**5 + 0*d + 0 + 1/180*d**6. What is t in b(t) = 0?
-1
Let i be (-4)/(1/((-18)/24)). Let a(r) be the first derivative of -3/4*r**4 + 0*r**2 + 0*r**i + 0*r + 4. What is t in a(t) = 0?
0
Let g(z) be the third derivative of -1/24*z**3 + 0*z + 0 + 1/96*z**4 + 3*z**2 + 1/48*z**5 + 1/160*z**6. Solve g(c) = 0 for c.
-1, 1/3
Let f(i) be the third derivative of -5*i**8/168 - i**7/35 + 7*i**6/60 + i**5/10 - i**4/6 + 3*i**2. Determine a so that f(a) = 0.
-1, 0, 2/5, 1
Suppose 2*p**2 + 40 + 33 - 75 = 0. Calculate p.
-1, 1
Factor 1/2*i**2 - 1/4*i + 0 - 1/4*i**3.
-i*(i - 1)**2/4
Let l be 45/10*(-4)/(-6). Factor -2*t**l - 2 - 2*t**4 + 6*t - 2*t**3 + 4*t**4 - 2*t.
2*(t - 1)**3*(t + 1)
Let j(m) = -m**3 + 3*m**2 + 4*m. Let x(a) = -a**3 + 4*a**2 + 5*a. Let t(r) = -5*j(r) + 4*x(r). Factor t(s).
s**2*(s + 1)
Let q = -8 - -10. Factor -28*s**2 - 2*s**5 + q*s**3 + 28*s**2.
-2*s**3*(s - 1)*(s + 1)
Let p be 2/(-10) - (-6744)/(-30). Let f be (-30)/p*10/2. Solve -2*o**2 - 2/3*o**3 - f - 2*o = 0.
-1
Let z(s) = -s**2 - 9*s + 38. Let p be z(-12). Find l such that -1/4*l**3 - 1/4*l**4 + 1/4*l + 0 + 1/4*l**p = 0.
-1, 0, 1
Suppose w - 2 = -0*o + o, 0 = 3*o - 3. Let k(t) be the third derivative of 0*t + 1/6*t**w - 1/24*t**4 + 2*t**2 - 1/60*t**5 + 1/120*t**6 + 0. Factor k(x).
(x - 1)**2*(x + 1)
Let n(f) be the first derivative of -3*f**5/25 - 3*f**4/10 + 4*f**3/5 + 12*f**2/5 - 22. Determine u so that n(u) = 0.
-2, 0, 2
Let q be (7 - 7)/(0 - -1). Solve 1 + 2*b - b**3 + q*b**3 - b**2 - b = 0 for b.
-1, 1
Let w = 9/22 + -1301/3234. Let c(x) be the second derivative of -1/21*x**4 + 1/35*x**6 - 1/7*x**3 - 2*x - 1/7*x**2 + w*x**7 + 0 + 1/35*x**5. Factor c(u).
2*(u - 1)*(u + 1)**4/7
Suppose 4*a = -3*h + 5, 4*a - 12 = 3*h - 1. Let l = 4 - a. Factor t - 2*t**l - 3*t + 2*t**3 + 0*t**2 + 2.
2*(t - 1)**2*(t + 1)
Let f be (-24)/60 - 17/(-5). Factor 2*p**3 - 5*p**3 + 0*p**3 + 3 - 3*p**2 + 0*p + f*p.
-3*(p - 1)*(p + 1)**2
Let w(p) be the first derivative of 2*p**6/3 + 7*p**5/5 - p**4/2 - 8*p**3/3 - p**2 + p + 24. Find g, given that w(g) = 0.
-1, 1/4, 1
Let u(x) = -x**3 + 6*x**2 + 2. Let m be u(6). Let 2*c - c**m - c**3 - 2*c**2 + c**4 + 4*c**4 - c**5 - 2*c**4 = 0. Calculate c.
-1, 0, 1, 2
Let x(o) be the third derivative of -o**8/26880 + o**7/1440 - o**6/192 + 3*o**5/160 - o**4/24 + 2*o**2. Let b(s) be the second derivative of x(s). Factor b(d).
-(d - 3)**2*(d - 1)/4
Let p be (108/8)/9*4/2. Let z(k) be the third derivative of -1/2*k**p - 1/10*k**5 + 9/16*k**4 + 0*k + 0 + 3*k**2. Factor z(m).
-3*(m - 2)*(4*m - 1)/2
Let n be 726/15 + 2*-1. Let z = n - 46. Let -2/5*p**3 + 2/5*p**2 - z + 2/5*p = 0. Calculate p.
-1, 1
Let k = -495/2 + 248. Let j be (2 - 1)*0/(-4). Factor j - k*n - 1/2*n**3 + n**2.
-n*(n - 1)**2/2
Suppose 3*h - o + 5 = 2, h + 12 = 4*o. Let f(i) be the third derivative of 0 + i**2 + 0*i + 1/240*i**6 + 0*i**5 + h*i**3 - 1/48*i**4. Let f(s) = 0. Calculate s.
-1, 0, 1
Let o(t) be the second derivative of 1/12*t**4 + 3/10*t**2 - 7/30*t**3 - 1/100*t**5 + 6*t + 0. Factor o(z).
-(z - 3)*(z - 1)**2/5
Solve 0*j**2 - 35 + 8*j - j**2 + 19 = 0 for j.
4
Let i(j) = j**2 - j - 1. Let n(a) = 5*a**2 + 70*a - 330. Let r(c) = 10*i(c) - n(c). Factor r(l).
5*(l - 8)**2
Let h(r) be the second derivative of -r**6/18 + r**5/5 - r**4/