(h - 1)
Let o(h) be the first derivative of -1/5*h**2 + 1/15*h**3 - 1 + 0*h. Factor o(u).
u*(u - 2)/5
Let k be (4 - -3) + (2 - 6). Factor -40*o**k + 0 + 14*o + 14*o**2 + 5 - 1 + 8*o.
-2*(o - 1)*(4*o + 1)*(5*o + 2)
Let x(c) = c - 5. Let p be x(4). Let y(k) = -4*k**4 + 4*k**3 + 2*k**2 - 4*k. Let d(g) = -g**4 + g**3 - g**2 - g. Let s(v) = p*d(v) + y(v). Factor s(h).
-3*h*(h - 1)**2*(h + 1)
Let j = -40 + 42. Factor 1 + i + 1/4*i**j.
(i + 2)**2/4
Suppose -5 = 2*u + k, u - 6*k = -2*k + 20. Let w(y) be the second derivative of 2/3*y**3 + u - y**2 + y + 1/2*y**4. Suppose w(n) = 0. Calculate n.
-1, 1/3
Let l(t) be the first derivative of -t**5/5 + t**4/2 + 4*t**3/3 - 4*t**2 - 16. Factor l(o).
-o*(o - 2)**2*(o + 2)
Let d be ((-30)/225)/(12/(-5)). Let g(w) be the second derivative of 0 + d*w**4 + 3*w**2 - w - 2/3*w**3. Factor g(v).
2*(v - 3)**2/3
Factor 3*y**2 + 6 - 7*y**2 - 2 + 6*y + 6*y**2.
2*(y + 1)*(y + 2)
Let y(a) = a**3 - 7*a**2 + 6*a + 6. Let n be y(6). Let z be (-8)/n*(-1)/2. What is b in -z + 2/3*b**4 + 0*b**2 + 4/3*b**3 - 4/3*b = 0?
-1, 1
Let g(w) = 7*w**3 - 8*w**2 + 2*w + 7. Let b(a) = a**3 - 1. Let i(n) = -10*b(n) + 2*g(n). Factor i(y).
4*(y - 3)*(y - 2)*(y + 1)
Factor -1/10*v**3 + 0 + 1/10*v + 0*v**2.
-v*(v - 1)*(v + 1)/10
Suppose -2*d - 2 = -z, -d - 2*z = -8 + 4. Let t(r) be the first derivative of d*r - r**4 - 10/3*r**3 + 2*r**2 + 2*r**5 - 3. Factor t(k).
2*k*(k - 1)*(k + 1)*(5*k - 2)
Let c(j) = 2*j**2 + 21*j + 13. Let q be c(-10). Factor 0*t + 0 - 3/2*t**q + 3/2*t**2.
-3*t**2*(t - 1)/2
Let c(p) be the third derivative of 0*p**7 + 0*p**5 + 0*p - 1/672*p**8 + 2*p**2 + 1/240*p**6 + 0*p**3 + 0*p**4 + 0. Find o such that c(o) = 0.
-1, 0, 1
Let f(o) be the first derivative of 0*o - 1/720*o**6 + 0*o**2 + 0*o**5 + 1/3*o**3 - 1 + 1/48*o**4. Let l(n) be the third derivative of f(n). Factor l(s).
-(s - 1)*(s + 1)/2
Let g(m) be the first derivative of m**5/90 - m**4/12 - 5*m**2/2 + 8. Let u(r) be the second derivative of g(r). Suppose u(z) = 0. What is z?
0, 3
Let f(l) = l**3 - l**2 + 1. Let u(o) be the second derivative of 7*o**5/20 - 7*o**4/12 + 3*o**2 - 3*o. Let m(p) = -6*f(p) + u(p). Factor m(x).
x**2*(x - 1)
Let v(m) be the first derivative of m**5 - 15*m**4/4 + 5*m**3/3 + 15*m**2/2 - 10*m - 8. Factor v(o).
5*(o - 2)*(o - 1)**2*(o + 1)
Let u(b) be the second derivative of -11*b**6/6 - 179*b**5/60 + 19*b**4/18 + 22*b**3/9 - 4*b**2/3 + 28*b. Find q such that u(q) = 0.
-1, -2/3, 2/11, 2/5
Let v(b) be the third derivative of b**7/630 + b**6/90 + b**5/90 - b**4/18 - b**3/6 - 20*b**2. Factor v(h).
(h - 1)*(h + 1)**2*(h + 3)/3
Let a be (-12)/10*((-20)/(-15) + -2). Factor -2/5*l**2 - 6/5*l - a.
-2*(l + 1)*(l + 2)/5
Determine x so that 8/7*x + 6/7 + 2/7*x**2 = 0.
-3, -1
Let 0*t + 0*t**3 - t**2 + 1/2*t**4 + 1/2 = 0. Calculate t.
-1, 1
Let t(z) be the first derivative of -6/25*z**5 + 0*z**3 + 0*z**2 + 1/10*z**4 + 0*z - 4. Factor t(o).
-2*o**3*(3*o - 1)/5
Let j(x) be the first derivative of 2*x**5/35 + x**4/14 - 3. Let j(g) = 0. What is g?
-1, 0
Let o(q) be the third derivative of 0*q**4 + 0*q + 3*q**2 - 1/420*q**6 - 1/1176*q**8 + 0*q**5 + 0*q**3 + 0 - 2/735*q**7. Factor o(k).
-2*k**3*(k + 1)**2/7
Let f be -5*(-10)/(-100)*30/(-2). Factor 20*d**2 + 25*d**3 + 15*d**4 + f*d + 7/2*d**5 + 1.
(d + 1)**4*(7*d + 2)/2
Let i(y) = y**2 - 9*y + 2. Let s be i(7). Let w = -10 - s. Find r, given that 0*r**w + 1/3*r + 0 - 1/3*r**3 = 0.
-1, 0, 1
Let o = -1 - -2. Let w be (-1)/o + 12/9. Suppose w*d + 2/3*d**4 + 0 - 2/3*d**2 + 0*d**3 - 1/3*d**5 = 0. What is d?
-1, 0, 1
Suppose -1/3*s**2 + 0 - 2/3*s + 1/3*s**3 = 0. Calculate s.
-1, 0, 2
Let h(t) = -4*t**4 - t**3 - 6*t**2 + t - 5. Let i(u) = 2*u**4 + u**2 - u**4 + 1 + 0*u**4. Let n(p) = -h(p) - 5*i(p). Factor n(d).
-d*(d - 1)**2*(d + 1)
Suppose 11 = 2*p + 3. Suppose -v = 4*v - p*y, -2*v = 2*y. Factor 0 + v*t**3 + 2/7*t - 4/7*t**2 + 4/7*t**4 - 2/7*t**5.
-2*t*(t - 1)**3*(t + 1)/7
Let v be (-8)/10*20/8. Let r = 0 - v. Factor -4*f**3 - f**4 + 3*f**4 - 1 + 1 + 2*f**r.
2*f**2*(f - 1)**2
Let j(z) = -z**2 - 6*z + 3. Let t be j(-6). Factor 9*g - 5*g + 9*g - 6 - 4*g - t*g**2.
-3*(g - 2)*(g - 1)
Suppose k = l + 2, 0*k - 4*l + 10 = 2*k. Let o be (5/15)/(2/18). Determine b, given that k*b**3 + b**2 - b**4 + 2*b**o + b**5 - 7*b**3 + b**3 = 0.
-1, 0, 1
Solve 1/2*h**3 + 1/2*h**4 + 0 + 0*h + 1/6*h**5 + 1/6*h**2 = 0.
-1, 0
Suppose -9*x - 6*x = 0. Let -4/3*j + x - 8/3*j**3 - 10/3*j**2 - 2/3*j**4 = 0. Calculate j.
-2, -1, 0
Let k(x) be the second derivative of 0 - 2*x + 1/66*x**4 + 1/55*x**5 + 1/165*x**6 + 0*x**2 + 0*x**3. Factor k(q).
2*q**2*(q + 1)**2/11
Let n = 100 - 2001/20. Let g = 7/20 - n. Let 0 + g*s**2 + 0*s = 0. What is s?
0
Factor -2/7*w**3 + 0*w**2 + 0*w + 0.
-2*w**3/7
Suppose 4*r + 3*l - 85 = 0, 3*r + 2*l + 51 = 6*r. Suppose -y - 5*d + 6 = r, y - 3*d - 11 = 0. Determine i so that 3*i**y - 2*i**2 + i**4 - 2*i**2 = 0.
-1, 0, 1
Suppose 57/5*c**2 - 186/5*c**3 + 6/5 + 72/5*c**4 + 51/5*c = 0. Calculate c.
-1/4, -1/6, 1, 2
Let v(u) be the second derivative of u**7/231 - u**6/55 + u**5/110 + u**4/22 - 2*u**3/33 + 14*u. Suppose v(b) = 0. Calculate b.
-1, 0, 1, 2
Let h(r) be the first derivative of 3 - 3/4*r**4 + 0*r + 0*r**3 + 0*r**2. Factor h(p).
-3*p**3
Let g(i) = 3*i**3 - 2*i**2 + i + 4. Let n(b) = -19*b**3 + 12*b**2 - 7*b - 25. Let d(q) = -39*g(q) - 6*n(q). Factor d(p).
-3*(p - 2)*(p - 1)*(p + 1)
Let o(h) = -h**2 - 4*h + 24. Let f(t) = 2*t**2 + 3*t - 23. Let n(u) = 4*f(u) + 3*o(u). Factor n(s).
5*(s - 2)*(s + 2)
Let s(b) = b**3 - 3*b**2 + 8*b + 1. Let h(k) be the third derivative of -k**5/15 + k**4/3 + k**3/3 - 3*k**2. Let p(o) = -7*h(o) + 6*s(o). Factor p(d).
2*(d - 1)*(d + 2)*(3*d + 2)
Let t = 1 + 1. Find z such that -2*z**2 + 4 + z**2 + 3*z**t - 6*z = 0.
1, 2
Let c = 5525/2012 - -2/503. Let -3/2*w**4 + 1/4 + c*w**3 - 3/4*w**2 - 3/4*w = 0. What is w?
-1/2, 1/3, 1
Let j(k) = 4*k**3 - 8*k**2 + 14*k - 8. Let u(t) = 13*t**3 - 23*t**2 + 42*t - 25. Let l(g) = -7*j(g) + 2*u(g). Suppose l(n) = 0. What is n?
1, 3
Let f be 3/(6*2/4). Determine k, given that 3/2*k**2 - 3/2*k + k**3 - f = 0.
-2, -1/2, 1
Let k(v) be the first derivative of -2*v + 0*v**3 + 1/5*v**2 - 2 - 1/30*v**4. Let g(q) be the first derivative of k(q). Determine a so that g(a) = 0.
-1, 1
Let q(w) be the third derivative of -w**6/40 + w**4/8 + 3*w**2. Factor q(f).
-3*f*(f - 1)*(f + 1)
Let q(x) be the first derivative of x**8/4480 + x**7/1680 + x**6/2880 + 7*x**3/3 + 1. Let m(h) be the third derivative of q(h). Find w such that m(w) = 0.
-1, -1/3, 0
Let h(m) be the third derivative of -m**7/630 + m**6/45 - m**5/30 - 5*m**4/9 - 25*m**3/18 + 4*m**2. Factor h(w).
-(w - 5)**2*(w + 1)**2/3
Suppose -6 = -4*c + 6. Let -14*u - 2*u**2 + 12*u + c*u**2 - 3 = 0. Calculate u.
-1, 3
Let l(z) = 6*z**2 + z - 1. Let j be l(-1). Factor 16/5*d**2 - 48/5*d**3 + 64/5*d - 18/5*d**j - 32/5.
-2*(d + 2)**2*(3*d - 2)**2/5
Let h(n) be the third derivative of n**6/10 - 17*n**5/20 - 2*n**4 + 5*n**3/2 + 22*n**2. Factor h(f).
3*(f - 5)*(f + 1)*(4*f - 1)
Let c(v) = -3*v**2 + 4*v + 3. Let b(j) = -4*j**2 + 5*j + 4. Suppose -48 = h - 5*h. Suppose 4*n = n + h. Let i(d) = n*b(d) - 5*c(d). Let i(w) = 0. What is w?
-1, 1
Let u(i) be the third derivative of -i**5/150 + i**3/15 - 2*i**2. Let u(c) = 0. What is c?
-1, 1
Let k = 1 + 2. Suppose h - v - k - 3 = 0, -2*h = -v - 8. Find i, given that 3*i**5 + i**2 - i**4 - 2*i**5 + i**3 - h*i**3 = 0.
-1, 0, 1
Let v(c) be the third derivative of -c**7/245 + c**6/210 + c**5/70 - c**4/42 - 5*c**2. Find d such that v(d) = 0.
-1, 0, 2/3, 1
Let z(x) = -x**5 + x**2 + x - 1. Let s(t) = -8*t**5 - 8*t**4 + 4*t**3 + 13*t**2 + 4*t - 5. Let o(r) = -s(r) + 3*z(r). Factor o(q).
(q - 1)*(q + 1)**3*(5*q - 2)
Let a(n) be the first derivative of 117*n**3 + 243/4*n**4 + 12*n + 2 + 60*n**2. Suppose a(r) = 0. What is r?
-1, -2/9
Let z(d) be the second derivative of 1/6*d**4 + 2*d**2 + 3*d + d**3 + 0. Factor z(k).
2*(k + 1)*(k + 2)
Let w(m) be the first derivative of m**3/6 - 5*m**2/2 - 46. What is s in w(s) = 0?
0, 10
Let f(q) be the second derivative of -3*q + 1/75*q**6 + 0*q**3 - 1/30*q**4 + 0*q**2 - 1/50*q**5 + 1/105*q**7 + 0. Determine g so that f(g) = 0.
-1, 0, 1
Suppose 4*g + 4*z - 7 = 13, 5*g + 4*z - 22 = 0. Suppose -3*s + 2 = -g*s. Determine o so that -s*o**2 - o + 4*o**2 + 3*o = 0.
-1, 0
