**3 + 4/11 - 2/11*x**4 + 6/11*x**2 + q*x.
-2*(x - 2)*(x + 1)**3/11
Suppose -12*m = -32*m. Suppose 0*u**3 + 4/5*u**2 + m + 2/5*u**5 - 4/5*u**4 - 2/5*u = 0. Calculate u.
-1, 0, 1
Let w be 0/(-2 + (-1 - -4)). Factor 0*s**2 + 1 - 2*s + w*s**2 + s**2.
(s - 1)**2
Let y be (6/9)/((-4)/(-18)). Suppose -3*q**2 + 3*q**2 - y*q**3 - 3*q**2 = 0. Calculate q.
-1, 0
Let k(i) be the first derivative of 5*i**3/6 + 5*i**2/2 - 15*i/2 - 23. Let k(c) = 0. Calculate c.
-3, 1
Let k be 0/((-4 - -1) + 1). Let 0*d - 2/7*d**5 + 8/7*d**4 + 0 - 8/7*d**3 + k*d**2 = 0. What is d?
0, 2
Factor -1/5*t**2 + 0 + 0*t.
-t**2/5
Let o(i) be the first derivative of i**6/36 + i**5/15 + 2. Solve o(w) = 0.
-2, 0
Let r(c) be the second derivative of c**8/84 - 2*c**6/15 + 2*c**5/15 + c**4/2 - 4*c**3/3 + 2*c**2 - 6*c. Let u(g) be the first derivative of r(g). Factor u(m).
4*(m - 1)**3*(m + 1)*(m + 2)
Suppose -11 - 9 = h. Let v be 5/6*(-32)/h. Solve 14/3*x - 14/3*x**3 + v*x**2 - 4/3 = 0.
-1, 2/7, 1
Let q(t) be the third derivative of -1/10*t**4 - 7/50*t**7 + 0 + 0*t - 4*t**2 + 0*t**3 - 77/200*t**6 - 8/25*t**5. Factor q(y).
-3*y*(y + 1)*(7*y + 2)**2/5
Let c(h) be the first derivative of h**7/21 + h**6/5 + h**5/5 - h**4/3 - h**3 - h**2 - 3*h - 2. Let f(d) be the first derivative of c(d). Factor f(y).
2*(y - 1)*(y + 1)**4
Let s(m) be the first derivative of 0*m**2 + 2 + 2/15*m**3 - 1/25*m**5 + 0*m**4 - 1/5*m. Factor s(x).
-(x - 1)**2*(x + 1)**2/5
Let d(l) be the second derivative of l**2 + l - 1/45*l**5 + 0 - 1/120*l**6 - 1/72*l**4 + 0*l**3. Let q(m) be the first derivative of d(m). Factor q(v).
-v*(v + 1)*(3*v + 1)/3
Suppose -12*z - 13*z + 2675*z**2 - 2680*z**2 = 0. Calculate z.
-5, 0
Let k(j) be the second derivative of 1/40*j**5 + 0*j**3 - 1/24*j**6 + 4*j - 1/24*j**7 + 0*j**2 + 0*j**4 + 0. Solve k(x) = 0 for x.
-1, 0, 2/7
Suppose -5*y - 40 = -4*p, y - 30 = -3*p - 3*y. Let 2*h - h + 8*h**3 + h + p*h**2 = 0. What is h?
-1, -1/4, 0
Factor -2/3 - 1/3*x**2 - x.
-(x + 1)*(x + 2)/3
Let b(k) be the first derivative of 2/35*k**5 - 3/14*k**4 + 3 + 2/7*k**3 + 0*k - 1/7*k**2. Factor b(d).
2*d*(d - 1)**3/7
Let d = 6 + -3. Let b(h) be the second derivative of 1/3*h**d + 0 + h - 1/6*h**4 + 0*h**2. Factor b(w).
-2*w*(w - 1)
Let j(b) be the third derivative of 0*b**4 + 0*b - 1/420*b**6 - 1/210*b**5 + 0*b**3 - 3*b**2 + 0. Factor j(y).
-2*y**2*(y + 1)/7
Let m(s) = -3*s**2 - 8. Let p(c) = -c**2 - 4. Let i(k) = -2*k**2 + 5*k - 4. Let u be i(2). Let q(f) = u*m(f) + 5*p(f). Factor q(y).
(y - 2)*(y + 2)
Factor 0 - 3/5*i**3 - 3/5*i**4 + 6/5*i**2 + 0*i.
-3*i**2*(i - 1)*(i + 2)/5
Suppose -2*x + 0*x - i = -5, -15 = -4*x + 3*i. Let b = -3 + x. Factor -2/9*q**2 + 2/9*q**3 + 2/9*q**4 + b - 2/9*q.
2*q*(q - 1)*(q + 1)**2/9
Let f be (2/12)/(11/308). Factor 0 + 0*x + 4/3*x**2 - f*x**3.
-2*x**2*(7*x - 2)/3
Factor -2/9*l**2 - 2/3 - 8/9*l.
-2*(l + 1)*(l + 3)/9
Let m(y) = -y**4 - y**3 - y**2 - y + 1. Let r(w) = w**5 + 4*w**4 + 9*w**3 + 7*w**2 + 7*w - 7. Let t(j) = -21*m(j) - 3*r(j). Suppose t(q) = 0. What is q?
0, 1, 2
Let k be ((-4)/(-6))/((-2)/(-6)). Let u(v) be the second derivative of v + 7/6*v**4 - k*v**2 + 5/3*v**3 + 0. Factor u(n).
2*(n + 1)*(7*n - 2)
Let b(t) be the third derivative of 27/40*t**6 + 0*t + 1/5*t**5 + 0 - 1/2*t**4 - 7*t**2 + 0*t**3 + 13/35*t**7 + 1/16*t**8. Solve b(m) = 0.
-2, -1, 0, 2/7
Let s(o) be the second derivative of -o**7/280 + o**6/120 - o**3 + 2*o. Let b(u) be the second derivative of s(u). Determine w so that b(w) = 0.
0, 1
Determine g so that -2*g**2 + 8874*g + g**4 - 8874*g - g**3 = 0.
-1, 0, 2
Let s(t) be the third derivative of -t**7/735 + t**5/70 - t**4/42 - 23*t**2. Suppose s(m) = 0. Calculate m.
-2, 0, 1
Let j be 2/(-50)*((-220)/(-48))/(-11). Let f(r) be the third derivative of -1/6*r**3 + 0*r + j*r**5 + 3*r**2 + 0 + 0*r**4. Factor f(l).
(l - 1)*(l + 1)
Let c = 56 - 88. Let z be 3/(-7) + c/(-42). Determine i, given that i**2 + i + 1/3 + z*i**3 = 0.
-1
Let i = -89/126 + 7/9. Let w(o) be the second derivative of 0 + 1/7*o**3 + 1/70*o**5 + 1/7*o**2 + i*o**4 + o. Factor w(l).
2*(l + 1)**3/7
Suppose 2*k - 13 = 3. Suppose -2 = 2*b - k. Factor 0*i - 2/9*i**b + 0 - 2/9*i**2.
-2*i**2*(i + 1)/9
Let i(c) = c - 3. Suppose 0 = -t + 2 + 1. Let x be i(t). Factor 11*p**2 + x*p**3 - 10*p**2 + p**3.
p**2*(p + 1)
Let n(y) be the second derivative of -1/30*y**6 + 0 - 1/6*y**3 + 1/10*y**5 - 1/2*y**2 + 1/6*y**4 - 1/42*y**7 - 3*y. Factor n(b).
-(b - 1)**2*(b + 1)**3
Suppose -37*n = -38*n + 2. Factor -3/2 - 9/4*c - 3/4*c**n.
-3*(c + 1)*(c + 2)/4
Let f(p) be the third derivative of p**7/1785 - p**6/1020 - p**5/510 + p**4/204 + 4*p**2. Find o such that f(o) = 0.
-1, 0, 1
Let i = -19 + 19. Let g(o) be the first derivative of i*o - 1/9*o**6 + 4/9*o**3 - 5/6*o**4 + 2 + 8/15*o**5 + 0*o**2. Let g(f) = 0. What is f?
0, 1, 2
Let p(t) be the second derivative of -1/75*t**6 + 1/30*t**4 - 1/15*t**3 + 1/50*t**5 + 0 + 0*t**2 - 5*t. Factor p(n).
-2*n*(n - 1)**2*(n + 1)/5
Let g(z) be the first derivative of 4*z**3/3 + 28*z**2 + 196*z + 63. Suppose g(o) = 0. What is o?
-7
Let y(l) = 2*l**2 + 7*l + 5. Let u(p) = p**2 - 1. Let n(h) = 2*u(h) - 2*y(h). Factor n(w).
-2*(w + 1)*(w + 6)
Factor 40*s + 2/5*s**3 + 0 + 8*s**2.
2*s*(s + 10)**2/5
Suppose 4*k = 2*k + 6. Factor 4*u**3 + 0*u**k - 3*u**2 + 10*u - 2 - 2*u - 7*u**2.
2*(u - 1)**2*(2*u - 1)
Let i be (35/(-15) + 3)*3. Let b(y) be the first derivative of -y - 1/2*y**i - 3 + 1/3*y**3 + 1/4*y**4. Determine w so that b(w) = 0.
-1, 1
What is p in 75*p**4 + 47*p**2 + 42*p**2 + 120*p**3 - 146*p**2 + 6*p = 0?
-2, 0, 1/5
Let t(i) be the second derivative of i**7/1050 + 11*i**6/1800 + i**5/120 - i**4/60 - i**3/2 - 3*i. Let a(h) be the second derivative of t(h). Factor a(k).
(k + 1)*(k + 2)*(4*k - 1)/5
Suppose -4*l + 27 - 7 = -5*a, -4*l - 4*a - 16 = 0. Find z such that l*z**2 + 0*z - 1/5*z**3 + 0 = 0.
0
Let o(r) be the second derivative of -r**5/120 + r**4/9 - r. Factor o(i).
-i**2*(i - 8)/6
Let z(m) be the first derivative of m**3/7 - m**2/14 + 18. Determine o so that z(o) = 0.
0, 1/3
Let r(v) be the second derivative of v**7/21 + 4*v**6/15 + 2*v**5/5 - v**4/3 - 5*v**3/3 - 2*v**2 + v + 22. Factor r(f).
2*(f - 1)*(f + 1)**3*(f + 2)
Factor -1/2*r**2 + 0 - 1/4*r.
-r*(2*r + 1)/4
Let r(x) be the third derivative of x**10/378000 + x**9/50400 + x**8/16800 + x**7/12600 - x**5/30 + x**2. Let u(c) be the third derivative of r(c). Factor u(k).
2*k*(k + 1)**3/5
Let b = -11 + 13. Factor 3/4*d**b + 3/4*d + 0.
3*d*(d + 1)/4
Let x be (2 + -4)*((-15)/(-18) - 1). Factor 1/3*y + 0 + x*y**2.
y*(y + 1)/3
Let m(x) be the first derivative of -3 - x**3 - 3/2*x**2 - x - 1/4*x**4. Let m(v) = 0. Calculate v.
-1
Let p be 3/(-21 + 0)*8*-1. Suppose 8/7*i**2 + p*i - 2/7*i**5 - 8/7*i**4 + 0 - 6/7*i**3 = 0. Calculate i.
-2, -1, 0, 1
Factor 0 + 4/5*g**3 + 0*g + 1/5*g**2.
g**2*(4*g + 1)/5
Let z be ((-16)/84 + 0)/(24/(-84)). Solve -1/3*b**4 - 2/3*b**3 + 1/3 + z*b + 0*b**2 = 0.
-1, 1
Let f(n) be the second derivative of -n**7/7560 + n**6/1080 - n**5/360 + n**4/12 - 2*n. Let m(h) be the third derivative of f(h). Factor m(q).
-(q - 1)**2/3
Let 0 - 8*j**5 - 142/7*j**4 - 38/7*j**2 - 4/7*j - 120/7*j**3 = 0. What is j?
-1, -2/7, -1/4, 0
Let w(d) be the third derivative of 3*d**6/100 + 11*d**5/150 - 4*d**4/15 - 4*d**3/15 + 40*d**2. Let w(i) = 0. What is i?
-2, -2/9, 1
Suppose 3*i + 6 = 5*l, -3*i = i - 4*l. Factor 4/7*d**2 + 0 + 2/7*d + 2/7*d**i.
2*d*(d + 1)**2/7
Suppose -m + 97 = 27. Let h be 4/(-10) - (-56)/m. Factor h*a**3 + 0*a**2 - 2/5*a + 0.
2*a*(a - 1)*(a + 1)/5
Let a = 2/55 + 3/220. Let y(f) be the third derivative of a*f**6 - 11/120*f**5 + 0*f**3 + 1/24*f**4 + 3/140*f**7 + 0*f - f**2 + 0. Factor y(w).
w*(w + 2)*(3*w - 1)**2/2
Let y(q) be the third derivative of -q**6/48 + q**5/8 - 5*q**3/3 + 11*q**2. Factor y(d).
-5*(d - 2)**2*(d + 1)/2
Let v(z) = -18*z - 16*z**3 + 16*z**2 - 5*z + 3*z + 2. Let q(p) = -p**3 + p**2 - p. Let i(m) = 36*q(m) - 2*v(m). Find g, given that i(g) = 0.
-1, 1
Suppose 6 = 4*x - v - 15, 5*x = 4*v + 29. Suppose -3*l**3 + 6*l**3 - x*l + 5*l - 3*l**2 = 0. What is l?
0, 1
Let x(r) be the third derivative of r**7/1050 + r**6/300 - r**5/100 - r**4/30 + 2*r**3/15 - 10*r**2. Solve x(q) = 0.
-2, 1
Let l(z) = -z**2 + 9*z - 8. Let k(g) = g**2 - 8*g + 7. Let d(p) = 7*k(p) + 6*l(p). Determine u, given that d(u) = 0.
1