**3 + 0*w + 1/7*w**4.
w**2*(w + 1)**2/7
Let y(j) be the second derivative of -j**4/4 - j**3/2 - 21*j. Solve y(h) = 0 for h.
-1, 0
Let w(p) be the second derivative of -6*p + 0 + 0*p**3 + 1/12*p**4 + 0*p**2 - 1/40*p**5 - 1/60*p**6. Factor w(g).
-g**2*(g - 1)*(g + 2)/2
Factor -8/3*c + 0 + 2/3*c**4 - 10/3*c**3 + 16/3*c**2.
2*c*(c - 2)**2*(c - 1)/3
Let g(k) = 6*k**3 - 7*k**2 + k - 5. Let x(s) = -s**3 + s**2 + 1. Let r(o) = g(o) + 5*x(o). Find m such that r(m) = 0.
0, 1
Suppose -17 = 4*h - 13. Let z(t) = -t + 1. Let f be z(h). Solve 2/3*l**f + 2/3*l**3 + 0 + 0*l = 0 for l.
-1, 0
Let u be 2 + -4 + -7 + 9. Determine a, given that -3 + 7 - 10*a + 4*a**2 + u = 0.
1/2, 2
Suppose j - 6 = -j. Let q = 34 + -30. Factor -2/5*g**j + 0*g + 0*g**2 + 2/5*g**q + 0.
2*g**3*(g - 1)/5
Factor 12*c**2 + 12*c**2 + 4*c**3 - 22*c**2 + 2*c**4.
2*c**2*(c + 1)**2
Let y(q) be the first derivative of q**4/6 + q**3/3 + 2*q - 2. Let u(s) be the first derivative of y(s). Find t such that u(t) = 0.
-1, 0
Suppose -3*c + 8*c = i + 14, -c = 3*i + 10. Let h(w) be the second derivative of 1/18*w**3 + 1/15*w**5 + 0 + 0*w**c - w - 1/9*w**4. Suppose h(r) = 0. What is r?
0, 1/2
Let o(i) = -15*i**5 - 18*i**4 - 3*i**3 - i**2 + i - 1. Let w(j) = j**5 - j**3 + j**2 - j + 1. Let b(u) = -o(u) - w(u). Factor b(a).
2*a**3*(a + 1)*(7*a + 2)
Let x(n) be the third derivative of -n**9/30240 - n**8/50400 - n**5/20 - 2*n**2. Let v(c) be the third derivative of x(c). Factor v(i).
-2*i**2*(5*i + 1)/5
Let p(j) be the second derivative of -j**6/15 + j**5/45 + 2*j. Factor p(b).
-2*b**3*(9*b - 2)/9
Let m be 5/2 + (-3)/6. Let n = m - -2. Let 0 - 44*f**2 - 23*f - 18*f**2 - 3*f - 24*f**n - 4 - 64*f**3 = 0. Calculate f.
-1, -2/3, -1/2
Let n be -2 - (-2 - 0/(-2)). Factor 4 + 24*r**2 + 5*r**3 + 5*r**3 + n + 18*r.
2*(r + 1)**2*(5*r + 2)
Let t(d) be the third derivative of -11*d**8/1176 + 2*d**7/735 - 18*d**2. Factor t(x).
-2*x**4*(11*x - 2)/7
Let i be (115/(-105) - -1)*-7. Factor i*n + 2/3*n**5 + 8/3*n**2 + 4*n**3 + 8/3*n**4 + 0.
2*n*(n + 1)**4/3
Suppose 2*i = 6*i - 12. Let o(p) = -2*p + 6. Let q be o(i). Factor q + 4/5*n - 2/5*n**2.
-2*n*(n - 2)/5
Let x be (-4)/(-6) + ((-100)/(-15))/2. Let n(l) be the third derivative of -1/3*l**3 + 0 - 1/8*l**4 - 1/60*l**5 + 0*l + x*l**2. Let n(m) = 0. What is m?
-2, -1
Let d(o) be the third derivative of -2*o**7/105 + o**6/10 - o**5/15 - o**4/2 + 4*o**3/3 - 12*o**2. Factor d(y).
-4*(y - 2)*(y - 1)**2*(y + 1)
Let d(z) be the third derivative of 0 + 1/2*z**3 - 2*z**2 + 0*z - 1/2*z**4 + 3/20*z**5. Find u such that d(u) = 0.
1/3, 1
Let l(n) be the first derivative of n**3/12 - n**2/2 + n + 7. Factor l(s).
(s - 2)**2/4
Let y(x) be the first derivative of -x**6/4 - 3*x**5/10 + 3*x**4/4 + x**3 - 3*x**2/4 - 3*x/2 + 6. Let y(c) = 0. Calculate c.
-1, 1
Let h = -7 - -10. Suppose -7 - h = -4*g - 3*n, 0 = -3*n - 6. Factor -2 + 5*i**4 - 2*i**2 + 3 - g*i**4.
(i - 1)**2*(i + 1)**2
Let y be ((4 - 0) + -2)/5. Factor 2/5*c - y*c**2 + 4/5.
-2*(c - 2)*(c + 1)/5
Let v(n) be the first derivative of 3*n**5/80 - n**4/48 - n**3/12 - n - 3. Let y(x) be the first derivative of v(x). Solve y(i) = 0.
-2/3, 0, 1
Let o(j) = j - 3. Let n(y) = y - 2. Let m(r) = -4*n(r) + 3*o(r). Let b be m(-4). Factor 0*d - 2*d**2 + d + 5*d**b - 4*d**3.
d*(d - 1)**2
Factor 10*g**2 - 6*g**4 - 19*g**5 + 1 - 21*g**4 - 15*g**3 + 7*g - 3*g**3 + 46*g**5.
(g - 1)**2*(3*g + 1)**3
Let l be 2/4 - 21/(-14). Suppose 0 = -l*m + m. Solve -1/4*w + 1/4*w**3 + 0*w**2 + m = 0 for w.
-1, 0, 1
Let w(s) be the third derivative of -s**6/720 + s**5/360 - s**2. Factor w(b).
-b**2*(b - 1)/6
Let j = 15 - 20. Let z be 1 + j - (-336)/70. Factor 2*v + 8/5*v**2 + 2/5*v**3 + z.
2*(v + 1)**2*(v + 2)/5
Suppose 2*q - 22 = -4*r, 3*r - 3*q = q. Factor 6 + 5*v + 5*v + 2*v**2 - r*v - 2.
2*(v + 1)*(v + 2)
Let h(r) = r**3 + 3*r**2 + 3. Let b be h(-3). Find q, given that -7*q + 3*q**4 + 4*q**3 + q**5 - 3 + 2*q**2 + 2*q**b + 2*q**4 - 4*q**2 = 0.
-3, -1, 1
Let c = 7 - 4. Let f be (-2 + 11/c)*-3. Let l(a) = 4*a**2 + 2*a - 2. Let b(j) = -9*j**2 - 5*j + 5. Let y(k) = f*l(k) - 2*b(k). Factor y(p).
-2*p**2
Suppose 3*o + 0*o = 3*n, 3*o + 12 = -n. Let y = 0 - o. Let 4 + 21*p - p**3 - y*p**2 - 21*p = 0. Calculate p.
-2, 1
Let i(u) = 3*u**2 - 21*u + 45. Let s(q) = -3*q**2 + 20*q - 44. Let j(z) = 4*i(z) + 3*s(z). Let j(f) = 0. Calculate f.
4
Let p(c) be the third derivative of c**8/84 + 4*c**7/35 + 11*c**6/30 + 2*c**5/15 - 2*c**4 - 16*c**3/3 - 8*c**2. Factor p(h).
4*(h - 1)*(h + 1)*(h + 2)**3
Let y = -2 + 0. Let x(g) = g**3 + g**2 - g + 1. Let h(f) = -46*f**3 - 70*f**2 + 43*f - 4. Let n(o) = y*x(o) + h(o). What is r in n(r) = 0?
-2, 1/4
Let z be (-2)/4 - 7/(-2). Let x(s) be the first derivative of -2/3*s**4 - 28/9*s**z + 1 - 4/3*s - 7/9*s**6 + 11/3*s**2 + 32/15*s**5. Solve x(p) = 0.
-1, 2/7, 1
Let u(h) = 4*h**4 - 2*h**3 - 4*h**2 - h. Let f(o) = -7*o**4 + 4*o**3 + 7*o**2 + o. Let p(n) = -3*f(n) - 5*u(n). Factor p(m).
m*(m - 2)*(m - 1)*(m + 1)
Solve 1/9*g**2 - 8/9 + 7/9*g = 0.
-8, 1
Let f(c) be the second derivative of 3*c**5/20 + c**4/2 - c**3/2 - 3*c**2 - 18*c. Factor f(h).
3*(h - 1)*(h + 1)*(h + 2)
Let q(d) be the third derivative of -1/40*d**6 + 0*d**4 + 7*d**2 + 0*d + 0*d**5 + 0 - 1/70*d**7 + 0*d**3 - 1/448*d**8. Factor q(c).
-3*c**3*(c + 2)**2/4
Let m(g) be the first derivative of -g**7/60 - g**6/120 + g**5/60 - 2*g**3/3 - 3. Let n(o) be the third derivative of m(o). What is b in n(b) = 0?
-1/2, 0, 2/7
Let y be -4 + 88/12 - 3. Factor 2/3*a + y*a**2 + 1/3.
(a + 1)**2/3
Solve -6*y + 0*y + 21*y + 9*y**4 + 33*y**2 + 29*y**3 + 2 = 0 for y.
-1, -2/9
Let z(i) = i**3 + 5*i**2 - 13*i + 7. Let v be z(-7). Suppose -2/5*s**3 - 2/5*s**2 + 0 + v*s = 0. What is s?
-1, 0
Let t = 3 - 1. Suppose f = -4*x - 13, -2*x - t + 3 = 3*f. Solve n**3 - n**3 + n**f = 0.
0
Let g(o) be the first derivative of o**6/180 - o**4/36 - o**2 - 1. Let t(r) be the second derivative of g(r). Factor t(p).
2*p*(p - 1)*(p + 1)/3
Let x(q) be the third derivative of -1/10*q**5 + 0*q**3 + 1/8*q**4 + 0 + 0*q - 1/40*q**6 + 1/35*q**7 - q**2. Let x(n) = 0. Calculate n.
-1, 0, 1/2, 1
Let i(w) be the third derivative of w**5/330 - 5*w**4/132 + 4*w**3/33 + 25*w**2. Factor i(m).
2*(m - 4)*(m - 1)/11
Let c(i) be the second derivative of -i**7/70 - i**6/40 + i**5/20 + i**4/8 + 2*i**2 - i. Let r(k) be the first derivative of c(k). Solve r(s) = 0 for s.
-1, 0, 1
Suppose -928*z = -920*z. Factor 2/7*b**4 - 6/7*b**3 + 4/7*b**2 + 0 + z*b.
2*b**2*(b - 2)*(b - 1)/7
Determine a so that 6/5*a**2 + 0 - 3/5*a + 21/5*a**3 + 12/5*a**4 = 0.
-1, 0, 1/4
Let b(u) = 9*u**2 - 105*u - 81. Let o(p) = -p**2 + 13*p + 10. Let n(x) = 4*b(x) + 33*o(x). Factor n(w).
3*(w + 1)*(w + 2)
Let t(y) = y**2 - 12*y - 10. Let r(b) = 12*b + 10. Let a(f) = 3*r(f) + 2*t(f). Suppose a(o) = 0. Calculate o.
-5, -1
Suppose 0*u = -3*u. Let g = 2/3 + 11/6. Determine p, given that -g*p**3 + u + 7/2*p**2 - p = 0.
0, 2/5, 1
Let o(b) be the first derivative of 0*b - 2 + 2/21*b**3 + 1/7*b**2. Determine r so that o(r) = 0.
-1, 0
Suppose 2*n - 4 = -y + 4, -11 = -y - 3*n. Factor 0 - 9/4*g**3 - 3/4*g - 3*g**y.
-3*g*(g + 1)*(3*g + 1)/4
Factor -f**4 - 3*f**4 + 2*f - 2*f**5 + f**2 + 3*f**2.
-2*f*(f - 1)*(f + 1)**3
Let l be ((-4)/(-6))/((-4)/(-36)). Find i such that 7 + l*i + 3*i**2 - 6 - 1 = 0.
-2, 0
Let k be ((-4)/(-6))/((-5)/(-15)). Let -4*r + r - 3*r**4 - r**4 - 12*r**k - r - 12*r**3 = 0. What is r?
-1, 0
Let l(j) = -1. Let p(g) = g**5 + 5*g**4 + 9*g**3 + 7*g**2 + 2*g - 2. Let w(q) = 6*l(q) - 3*p(q). Factor w(i).
-3*i*(i + 1)**3*(i + 2)
Let m = 24 - 17. Let d = -5 + m. Suppose 2*n**d + 4*n**3 + 3*n**4 - 4*n**2 + n**2 - 2*n = 0. What is n?
-1, 0, 2/3
Let z(d) be the second derivative of d**8/5040 + d**7/840 + d**6/540 + 5*d**3/6 - 4*d. Let o(i) be the second derivative of z(i). Factor o(w).
w**2*(w + 1)*(w + 2)/3
Let g(m) be the third derivative of -m**8/6720 + m**6/240 - m**5/60 - m**4/8 - 2*m**2. Let f(d) be the second derivative of g(d). Factor f(s).
-(s - 1)**2*(s + 2)
Let s = -2475760 - -4904481671/1981. Let t = s + 3/283. Factor -18/7*i + t + 2*i**2.
2*(i - 1)*(7*i - 2)/7
Let y(m) be the first derivative of 5 - m**3 + 3/5*m**5 + 0*m - 3/2*m**2 + 3/4*m**4. Suppose y(s) = 0. What is s?
-1, 0, 1
Let q(x) be the third derivative of -x**9/10080 - x**8/2240 - x**4/6 + 2*x**2. Let b(h