r -2*n - h*n**2 + n + 1 + 0.
-(n + 1)*(2*n - 1)
Let g = 83/1140 + 1/95. Let r(o) be the third derivative of 0 + o**2 - 1/60*o**6 + 1/30*o**5 - 1/3*o**3 + g*o**4 + 0*o. Factor r(d).
-2*(d - 1)**2*(d + 1)
Let v = 4 - 3. Suppose -v + 7 = 4*o + 2*c, 0 = -2*o - 4*c - 6. Find g such that -2*g**3 + g**o + 3*g + 0 - 2 = 0.
-2, 1
Let z(g) be the first derivative of -2*g**5/75 + g**4/30 - 19. Factor z(k).
-2*k**3*(k - 1)/15
Let z be 1*(-92)/24 - -4. Let h = 2/3 - z. Factor -t**3 - t**2 - h*t**5 + 3/2*t - 1/2 + 3/2*t**4.
-(t - 1)**4*(t + 1)/2
Let d(m) be the third derivative of m**2 + 1/2*m**3 + 0*m**4 + 1/480*m**5 - 1/720*m**6 + 0*m + 0. Let i(a) be the first derivative of d(a). Factor i(b).
-b*(2*b - 1)/4
Let p = -799/2 + 400. Factor 0*w**2 + 0*w + 0 + p*w**3.
w**3/2
Let d(o) be the first derivative of o**5/30 + o**4/6 - o**2/2 + 1. Let w(v) be the second derivative of d(v). Factor w(n).
2*n*(n + 2)
Factor 3/2*h**2 + 0*h + 0.
3*h**2/2
Let b(o) = 11*o**5 + 16*o**4 + 23*o**3 - 7*o**2 - 7. Let n(s) = -3*s**5 - 5*s**4 - 8*s**3 + 2*s**2 + 2. Let r(t) = 4*b(t) + 14*n(t). Factor r(j).
2*j**3*(j - 5)*(j + 2)
Let v(w) be the second derivative of -w**7/3780 - w**6/540 - w**5/180 - w**4/12 + 5*w. Let g(c) be the third derivative of v(c). Factor g(j).
-2*(j + 1)**2/3
Let t(j) be the third derivative of j**5/100 - 3*j**4/20 + 9*j**3/10 - 12*j**2. Factor t(x).
3*(x - 3)**2/5
Let n(d) be the third derivative of d**6/1080 + d**5/180 + d**4/72 - 5*d**3/6 - 4*d**2. Let k(u) be the first derivative of n(u). What is w in k(w) = 0?
-1
Let s(p) = -2*p**3 - 1. Let o be s(1). Let j(l) = 5*l**2 - 11*l + 8. Let v(r) = r**2 - r. Let u(x) = o*v(x) + j(x). Factor u(w).
2*(w - 2)**2
Factor 5*t + 10*t**2 + 4*t - 10*t**4 - 3*t**5 - 2*t**5 - 4*t.
-5*t*(t - 1)*(t + 1)**3
What is m in 0*m - 3/7*m**3 + 0 - 27/7*m**2 = 0?
-9, 0
Let g be 10/4*18/15. Suppose -h + 3*n + 2 = 0, -g*h + 4*h - 2 = -3*n. Let 1/2 - i + 1/2*i**h = 0. Calculate i.
1
Let w = -8 + 10. Factor -2*c**2 + 4*c**2 - 2*c**w + c**2.
c**2
Let m(d) = -d**2 + 9*d - 4. Let v be m(9). Let y(l) = 5 + 4*l + 4*l - 7*l**2 + l. Let n(f) = 3*f**2 - 4*f - 2. Let h(c) = v*y(c) - 10*n(c). Factor h(a).
-2*a*(a - 2)
Suppose -u + 3*u - 8 = 0. Let w(x) be the third derivative of 0*x**u + 2*x**2 - 1/90*x**5 + 0 + 0*x + 0*x**3. Suppose w(r) = 0. Calculate r.
0
Let i(l) = -l**5 - 3*l**4 - 7*l**3 - 5*l**2 + 2. Let k(h) = -h**4 - h**3 - h**2 - h - 1. Let w(m) = 3*i(m) + 6*k(m). Factor w(x).
-3*x*(x + 1)**3*(x + 2)
Let n be 3/((-18)/(-40) + (-132)/(-165)). Factor 3/5*r**2 + n - 3*r.
3*(r - 4)*(r - 1)/5
Factor -1/3*a + 2/9 - a**2.
-(3*a - 1)*(3*a + 2)/9
Let c be (-56)/7 + 5 - -3. Factor c + 2/3*a**2 - 2/3*a**3 + 0*a.
-2*a**2*(a - 1)/3
Let v(z) be the second derivative of 0*z**3 + 0*z**5 + 8*z - 1/180*z**6 + 0 + 0*z**4 + 0*z**2. Let v(h) = 0. What is h?
0
Let q(x) be the second derivative of x**8/84 - 16*x**7/315 + x**6/15 - x**4/18 + 5*x**2/2 - 4*x. Let c(k) be the first derivative of q(k). Factor c(u).
4*u*(u - 1)**3*(3*u + 1)/3
Factor -8/7*o**3 + 4/7 + 8/7*o - 4/7*o**4 + 0*o**2.
-4*(o - 1)*(o + 1)**3/7
Let w(n) be the second derivative of 9/20*n**5 + 1/6*n**3 + 1/21*n**7 - 7/30*n**6 - 5/12*n**4 + 5*n + 0 + 0*n**2. Let w(f) = 0. Calculate f.
0, 1/2, 1
Solve 2/7 - 2/7*x**3 - 2/7*x**2 + 2/7*x = 0 for x.
-1, 1
Let c(w) = -w + 4. Let q be c(0). Suppose 2*p**2 - 2*p - q*p**2 + 2*p**2 - p**2 = 0. What is p?
-2, 0
Let x = -19 + 27. Solve -13*r**3 + x*r - 10*r**2 + 8*r**3 + 9*r**3 - 2 = 0 for r.
1/2, 1
Suppose 0*g - 5*g = 3*w - 11, 0 = 5*g - 3*w + 1. Factor -a**2 + g + 3/2*a - 3/2*a**3.
-(a - 1)*(a + 1)*(3*a + 2)/2
Let b(l) be the third derivative of 5*l**8/336 + l**7/42 - l**6/24 - l**5/12 - 8*l**2. Suppose b(h) = 0. What is h?
-1, 0, 1
Factor 15*p - 4*p**2 + 7*p - 144 + 3*p**2 + 2*p.
-(p - 12)**2
Suppose 1/7*j**3 + 0 - 1/7*j**4 + 1/7*j**2 - 1/7*j = 0. Calculate j.
-1, 0, 1
Let b(q) = q**2 + 7*q + 8. Let h be b(-6). Let z(j) = 5*j + 3*j**2 + 0 - 1 - 2*j**h. Let i(c) = -c. Let v(s) = 5*i(s) + z(s). Find p such that v(p) = 0.
-1, 1
Let l = -1/30 - -67/210. Solve -l*k - 4/7 + 2/7*k**2 = 0.
-1, 2
Suppose q = -5*t + 11, 0 = 5*t - q - 9. Let l(c) be the first derivative of c**4 + 7/6*c**3 + 1/4*c**2 + 0*c - 8/5*c**5 + t. Determine g, given that l(g) = 0.
-1/4, 0, 1
Let q(b) = b**2 - b + 2. Let h be q(0). What is s in 9 - s + 3*s**h + 3 - s - 10*s = 0?
2
Let u(z) = -z - 5. Let v be u(-5). Let i(s) be the first derivative of 1/3*s**2 + 1/3*s**4 + 2/3*s**3 - 1 + v*s. Factor i(y).
2*y*(y + 1)*(2*y + 1)/3
Let g(q) = 7*q**2 - 7. Let p(w) = -6*w**2 + 6. Let s be -9*((-5)/3 + 2). Let n(f) = s*g(f) - 4*p(f). Suppose n(o) = 0. Calculate o.
-1, 1
Let q be 2/(-4)*(-1 + 1). Let g(c) be the third derivative of 0*c + q - 1/60*c**4 + 0*c**5 + 2*c**2 + 0*c**3 + 1/300*c**6. Factor g(h).
2*h*(h - 1)*(h + 1)/5
Let p = 33 - 19. Let s be 78/21 + 4/p. Factor -7*i**s - 3*i**3 + 8*i - 3*i**3 + 8*i**2 + 2*i**5 + 3*i**4.
2*i*(i - 2)**2*(i + 1)**2
Let l(f) be the second derivative of f**7/1120 - 3*f**5/160 + f**4/16 - f**3 - f. Let b(o) be the second derivative of l(o). Determine p, given that b(p) = 0.
-2, 1
Let t(w) be the third derivative of -w**7/2940 + w**6/1260 - 11*w**3/6 + w**2. Let n(l) be the first derivative of t(l). Factor n(j).
-2*j**2*(j - 1)/7
Let x(z) be the second derivative of z**6/60 + z**5/30 - 7*z**2/2 + z. Let f(j) be the first derivative of x(j). Let f(y) = 0. What is y?
-1, 0
Let n be 38/(-28)*456/(-54). Let m = -74/7 + n. Factor -2/9 - 8/9*g**4 - m*g**3 + 4/9*g + 2/3*g**2.
-2*(g + 1)**2*(2*g - 1)**2/9
Let q = -4 + 9. Factor -5 - 6*u + q + 33*u**3 - 27*u**2.
3*u*(u - 1)*(11*u + 2)
Solve 256 - 46*a**2 - 24*a**2 - 8*a**3 - 51*a**2 - 3*a**2 - 448*a = 0 for a.
-8, 1/2
Let t be 4/3*1*3. Suppose -t = -39*k + 38*k. Solve 0*n**3 + 0 - 2/9*n**k + 2/9*n**2 + 0*n = 0.
-1, 0, 1
Let g(k) = k**2 - k - 1. Let j(z) = 3*z**2 - 4*z - 3. Let a be (3 + -2 + 2)/(-1). Let t be 4/(-6) + 10/a. Let b(s) = t*g(s) + j(s). Factor b(x).
-(x - 1)*(x + 1)
Factor -3/5*b**5 - 27/5*b - 42/5*b**3 - 48/5*b**2 - 6/5 - 18/5*b**4.
-3*(b + 1)**4*(b + 2)/5
Let z = 12 - 12. Suppose z = -a + 3 - 0. Let 0*t + 6/7*t**a + 2/7*t**2 + 0 + 4/7*t**4 = 0. Calculate t.
-1, -1/2, 0
Let f = -872/3 + 288. Let q = -7/3 - f. Suppose q*c**4 + 0 + 5/3*c**2 - 4/3*c**3 - 2/3*c = 0. What is c?
0, 1, 2
Let g be (-36)/(-14) - (-64)/(-112). Factor -6 - 2/3*a**g - 4*a.
-2*(a + 3)**2/3
Let j(g) = -g**2 + 9*g + 10. Let o be j(9). Let m be (-6)/(-15) + (-4)/o. Factor m*h + 0 + 2/7*h**2.
2*h**2/7
Let s(v) be the second derivative of 0 - 1/5*v**5 + 0*v**2 + 0*v**4 - 7*v + 0*v**3 + 2/15*v**6. Factor s(p).
4*p**3*(p - 1)
Let c(d) be the third derivative of d**5/270 - d**4/27 + 4*d**3/27 + 7*d**2. Let c(y) = 0. What is y?
2
Let y = -8 - -4. Let j = y - -9. Determine b, given that b**4 - b**5 - b**j + b**4 = 0.
0, 1
Factor 2/3*w**5 + 6*w**3 + 0 + 4/3*w - 10/3*w**4 - 14/3*w**2.
2*w*(w - 2)*(w - 1)**3/3
Let a = 62/25 - 42/25. Factor a*q**4 + 0 + 3/5*q**3 + 1/5*q**5 + 0*q + 0*q**2.
q**3*(q + 1)*(q + 3)/5
Let g(j) be the first derivative of -j**5/10 - 3*j**4/4 - 5*j**3/6 - 37. Let g(m) = 0. What is m?
-5, -1, 0
Let s(w) be the first derivative of -w**3/7 + 3*w**2/7 + 9*w/7 + 49. Factor s(y).
-3*(y - 3)*(y + 1)/7
Let t = 35 - 103/3. Factor t*i**3 - 2/3*i**4 + 0*i + 0*i**2 + 0.
-2*i**3*(i - 1)/3
Let m(a) be the second derivative of 49*a**6/45 + 35*a**5/6 - 6*a**4 - 100*a**3/9 - 16*a**2/3 + 43*a. Suppose m(x) = 0. Calculate x.
-4, -2/7, 1
What is t in 0 + 9/4*t**2 - 3/2*t - 3/4*t**3 = 0?
0, 1, 2
Let z be (-4)/16 - 4/(-16). Let i = z - 0. Factor i*u**2 + 0*u**4 + 1/4*u - 1/2*u**3 + 1/4*u**5 + 0.
u*(u - 1)**2*(u + 1)**2/4
Let i(w) be the first derivative of w**4/16 - 3*w**2/8 - w/2 + 41. Solve i(p) = 0.
-1, 2
Let s be (-2)/(-36) + 14/21. Let q = -2/9 + s. Factor 3/2*t**2 + 3/2*t + 1/2*t**3 + q.
(t + 1)**3/2
Let f = 0 - -2. Suppose 2*r = -5*x + 20, -4*x + 0*r + 33 = 5*r. Determine w, given that -2*w - f - 2*w**x - 3*w + w = 0.
-1
Factor 3/2*f**3 + 0 + 0*f**4 - f**2 - 1/2*f**5 + 0*f.
-f**2*(f - 1)**2*(f + 2)/2
Let d(c) be the second derivative of 0 + 0*c**2 - 1/8*c**4 - 2*c + 3/40*c**5 - 1/4*c**3 + 1/20*c**6. Let d(z) = 0. Calculate z.
-1, 0, 1
Let q(d) = -2*d**5 + 6*d**4 - 4*d**3 - 4*d**2 + 10*d + 2. Let b(i) = i + 1. Let n(w) = 4*b(w) - q(w). 