d derivative of g + 0 + 1/24*g**3 + 0*g**2 + 1/48*g**4. Factor t(c).
c*(c + 1)/4
Let q(j) be the third derivative of j**5/120 - j**4/36 + j**3/36 - 2*j**2 - 31. Solve q(b) = 0.
1/3, 1
Determine a, given that -15*a**3 + 27*a**3 + 12*a**2 + 30*a**3 - 13*a**5 - 8*a**5 - 21*a - 6 - 6*a**4 = 0.
-1, -2/7, 1
Factor 4*m**5 + 8*m**2 - 2*m**5 - 4*m**4 + 8*m - 6*m**3 + m**3 - m**3.
2*m*(m - 2)**2*(m + 1)**2
Let c = -4 - -6. Factor 2*w + 4*w**2 + 0*w**2 - c*w**3 + 4*w**3.
2*w*(w + 1)**2
Let c(i) be the first derivative of i**4 + 4*i**3/3 - 4*i**2 - 1. Determine v so that c(v) = 0.
-2, 0, 1
Let u(n) be the third derivative of n**8/336 - n**7/525 - n**6/75 + n**5/150 + n**4/40 + 28*n**2. Let u(p) = 0. What is p?
-1, -3/5, 0, 1
Let u be 54/36 + (-1)/(-2). Let -2/9*z + 0 - 4/3*z**u - 2*z**3 = 0. Calculate z.
-1/3, 0
Let s(o) = o - 1. Let b(f) = -2*f**2 - 4*f + 6. Let k(d) = b(d) + 6*s(d). Let k(w) = 0. Calculate w.
0, 1
Let l(x) be the third derivative of 0 + 0*x + 0*x**4 + 1/20*x**5 - 4*x**2 - 1/2*x**3. Factor l(c).
3*(c - 1)*(c + 1)
Let i be (8/(-10))/2*-5. Suppose -4/7*b**4 + 2/7 - 2/7*b + 10/7*b**3 - 6/7*b**i = 0. Calculate b.
-1/2, 1
Let q = -6 + 8. Find g such that 2*g**4 - 3*g**2 - 3*g**4 + 2*g**3 + 5*g**q - 3*g**2 = 0.
0, 1
Factor 3/4*a**4 + 9/4*a + 3/4*a**2 - 3/2 - 9/4*a**3.
3*(a - 2)*(a - 1)**2*(a + 1)/4
Let n(q) be the first derivative of q**6/120 + 3*q**5/40 + q**4/4 + 2*q**3 - 4. Let s(y) be the third derivative of n(y). Determine u so that s(u) = 0.
-2, -1
Let i(r) be the first derivative of 0*r**2 - 2 + 1/18*r**4 - r + 1/60*r**5 + 1/18*r**3. Let j(w) be the first derivative of i(w). Factor j(o).
o*(o + 1)**2/3
Factor 0 - 1/4*p + p**3 - 3/4*p**2.
p*(p - 1)*(4*p + 1)/4
Let a(f) = -25*f + 4. Let g be a(-2). Let z be 0 - (-4 + g/15). Suppose 6/5*l + 4/5 + z*l**2 = 0. What is l?
-2, -1
Suppose 0 = -2*c - 5*u + 24, -2*c = u - 3*u + 4. Let -2/5*v**c + 2/5*v + 4/5 = 0. What is v?
-1, 2
Let n(u) = u**3 - 6*u**2 + u - 6. Let g be n(6). Factor 0*a + 10/7*a**3 - 4/7*a**2 + 2*a**4 + g.
2*a**2*(a + 1)*(7*a - 2)/7
Let l(i) be the first derivative of 2*i**6/3 - 4*i**4 - 11. Factor l(f).
4*f**3*(f - 2)*(f + 2)
Let v = -11 + 13. Solve -p**4 + p**3 + 0*p**3 + v*p**4 = 0.
-1, 0
Suppose 0 = 31*j - 43*j + 24. Let 6/13*t - 4/13 - 2/13*t**j = 0. What is t?
1, 2
Let g(m) = 4*m**4 - 7*m**3 + 4*m**2 - 3*m. Let w(a) = a**4 - a**3 - a. Let y = -19 + 18. Let n(l) = y*g(l) + 3*w(l). Factor n(c).
-c**2*(c - 2)**2
Suppose -6/11 - 4/11*a + 2/11*a**2 = 0. What is a?
-1, 3
Let r(s) be the second derivative of -s**6/15 + s**5/10 + s**4/6 - s**3/3 - 5*s. Factor r(t).
-2*t*(t - 1)**2*(t + 1)
Suppose -4*l + 9 = 25. Let f be 5 + 1*(l + 2). Factor -f*i**2 - 2 + 1 + 4*i**2.
(i - 1)*(i + 1)
Let m(j) be the first derivative of -2*j**3/9 + 2*j/3 + 13. Solve m(c) = 0 for c.
-1, 1
Let r(m) = m**3 - 11*m - 9*m**2 - 2 + 14 + 0*m**2. Let o be r(10). Factor -n**2 - 2*n**3 + 4*n**3 - n**o.
2*n**2*(n - 1)
Determine j so that 0*j + 1/2*j**5 + 1/2*j**3 + 0*j**2 + 0 + j**4 = 0.
-1, 0
Let d(k) be the second derivative of k**6/1440 - k**4/96 - k**3/3 - 3*k. Let z(o) be the second derivative of d(o). Determine i so that z(i) = 0.
-1, 1
Let n be (-28)/(-45)*(5 + 165/(-35)). Let l(j) be the first derivative of 1 + 8/9*j**4 + 11/9*j**2 + n*j**5 + 4/9*j + 14/9*j**3. Determine k so that l(k) = 0.
-2, -1, -1/2
Let d(m) be the third derivative of -1/780*m**6 - 3/13*m**3 + 0 + 0*m + 1/78*m**5 - 1/52*m**4 + 4*m**2. Solve d(r) = 0.
-1, 3
Factor 0 - 2/9*v + 2/3*v**2.
2*v*(3*v - 1)/9
Let b be (-11)/(-20) - 9/144*-4. Factor -2*f - b + 6/5*f**2.
2*(f - 2)*(3*f + 1)/5
Let s be 7/(-1)*(25 + -2). Let c be s/(-126) - 4/(-18). Solve -1/2*d**2 - 1 - c*d = 0 for d.
-2, -1
Let b(p) be the second derivative of p**7/42 - 2*p**6/15 + p**5/20 + 5*p**4/6 - 2*p**3/3 - 4*p**2 + 34*p. Factor b(d).
(d - 2)**3*(d + 1)**2
Let h = 12 - 8. Find c such that -4*c**2 + 5*c**4 + 18*c**4 - 2*c**2 - 5*c**h + 15*c**3 - 27*c**5 = 0.
-2/3, 0, 1/3, 1
Let i(h) = h**2 + 4. Let n be i(-3). Suppose 5*a + 3 = n. Let -a*z**2 + 2*z + z + 4*z**2 - 5*z = 0. Calculate z.
0, 1
Let a(g) be the first derivative of 3 + 0*g + 0*g**3 - 2/35*g**5 + 1/28*g**4 + 1/42*g**6 + 0*g**2. Solve a(s) = 0 for s.
0, 1
Suppose b + 3*a + 4 = -5, -2*a = 8. Suppose -1 = -b*o + 8. Factor -o*n**2 + 5*n**3 + 4*n**2 - 4*n**2 - 2*n.
n*(n - 1)*(5*n + 2)
Let b(t) be the second derivative of -3*t - 1/18*t**4 + 0*t**2 + 1/30*t**5 + 0*t**3 + 0. Solve b(l) = 0 for l.
0, 1
Let s = 158 + -156. Let o(k) be the first derivative of 1/2*k**4 - 2/3*k**3 - k**2 + s*k - 2. Factor o(u).
2*(u - 1)**2*(u + 1)
Let m be (-20)/(-8) - (-1)/2. Suppose -2*p - 3 = -m*p. Determine r, given that r + r**p - 5*r**3 + 3*r**3 = 0.
-1, 0, 1
Determine q so that -4/15*q + 0 + 2/5*q**3 + 2/3*q**2 = 0.
-2, 0, 1/3
Let v(y) be the third derivative of 3*y**7/70 - y**6/2 + 39*y**5/20 - 15*y**4/4 + 4*y**3 + 14*y**2. Factor v(g).
3*(g - 4)*(g - 1)**2*(3*g - 2)
Let l(d) = -12*d**2 - 3*d + 15. Let u(x) = x**2 - 1. Suppose s = -s - 2. Let v(t) = s*l(t) - 9*u(t). Factor v(k).
3*(k - 1)*(k + 2)
Suppose -7 = -c - 3. Suppose z = -c*z + 50. Factor 6*k - 8*k**2 + 14*k**3 - 2*k - z*k**2.
2*k*(k - 1)*(7*k - 2)
Let i be -1 + (-6)/3 + 19. Let y be 3*(2 - i/12). Factor 0 + 2/3*n**3 + 2/3*n**4 - 2/3*n - 2/3*n**y.
2*n*(n - 1)*(n + 1)**2/3
Suppose 3*c - 4*c + k + 5 = 0, -2*c - 15 = 3*k. Factor -2/9*i + 4/9*i**3 + 0*i**2 - 2/9*i**5 + 0*i**4 + c.
-2*i*(i - 1)**2*(i + 1)**2/9
Let k(z) be the third derivative of -z**6/60 + z**5/30 + z**4/12 - z**3/3 - 9*z**2. Factor k(t).
-2*(t - 1)**2*(t + 1)
Let h(s) = -s**5 + s**4 - s**3 + 1. Let q(g) = 2*g**5 - 7*g**4 + g**3 + 4*g**2 + 3*g - 3. Let d(b) = -3*h(b) - q(b). Let d(y) = 0. Calculate y.
-3, -1, 0, 1
Factor -2*t**5 + t**5 + t**4 + 0*t**4.
-t**4*(t - 1)
Let z(l) be the first derivative of -1 + 0*l + 0*l**2 + 1/15*l**5 + 0*l**3 + 1/12*l**4. Factor z(k).
k**3*(k + 1)/3
Suppose 4*h = -s - 2 - 5, 4*h + 27 = 3*s. Let z(o) = 6*o**2 - 13*o + 1. Let a(w) = 6*w**2 - 14*w. Let l(q) = h*a(q) + 4*z(q). Let l(t) = 0. What is t?
2/3, 1
Let k = 21 + -15. What is q in q**2 + k*q - 4*q - q + q**4 - 2*q**4 - q**3 = 0?
-1, 0, 1
Let s(h) be the third derivative of -h**9/7560 + h**7/1260 + h**4/24 - 3*h**2. Let v(a) be the second derivative of s(a). Factor v(x).
-2*x**2*(x - 1)*(x + 1)
Solve -4/5*c - 2/5*c**2 - 2/5 = 0.
-1
Let 0 - 2*r**3 + 8/5*r**4 + 2/5*r**2 + 0*r = 0. What is r?
0, 1/4, 1
Let w(z) be the second derivative of z**5/15 - 17*z**4/9 + 14*z**3 + 54*z**2 + z - 11. What is l in w(l) = 0?
-1, 9
Suppose 0 = u - 8 + 7. Let z be ((-2)/((-6)/3))/u. Let 3*o - o**2 - 4 - z + 3 = 0. What is o?
1, 2
Let i(l) be the second derivative of 5*l + 3*l**2 - 1/2*l**3 + 0 - 3/4*l**4. Find u, given that i(u) = 0.
-1, 2/3
Let z(w) = -w**2 + 21*w - 15. Let o be z(20). Find c such that 0*c + 0*c**2 + 0 - 10/7*c**o + 2*c**4 - 4/7*c**3 = 0.
0, 2/5, 1
Let t = 41 - 39. Factor 14*v**4 - 4/3*v**t + 0*v + 0 - 2/3*v**3.
2*v**2*(3*v - 1)*(7*v + 2)/3
Let k(w) = 6*w + 6. Let b be k(7). Suppose 5*q = -3*h + b, 4*h - 13 = -q - 0. Suppose -8*d**3 - q + 9 + 2*d - d**2 - 5*d**4 = 0. What is d?
-1, 0, 2/5
Let w = 62/119 - 4/17. Factor 2/7*t**4 + w*t**5 - 4/7*t**2 + 2/7 + 2/7*t - 4/7*t**3.
2*(t - 1)**2*(t + 1)**3/7
Suppose 5*k + 28 = -p - 27, 0 = k - p + 5. Let h be (-6)/7*k/15. Suppose -4/7*b**3 + h*b + 2/7*b**4 - 2/7 + 0*b**2 = 0. What is b?
-1, 1
Let l(z) = -13*z**3 + 13*z**2. Let p(n) = 3*n**3 - 3*n**2. Let s(f) = 4*l(f) + 18*p(f). Factor s(b).
2*b**2*(b - 1)
Let w = -65 - -327/5. Solve -2/5*z + 2/5*z**3 + w*z**2 + 0 - 2/5*z**4 = 0.
-1, 0, 1
Suppose -7 = -4*c + 13. Solve 2*i - i**2 + 5 - c = 0.
0, 2
Let f(g) = g**4 + 2*g**3 + 2*g**2 - 8*g. Let i(s) = -3*s**4 - 4*s**3 - 3*s**2 + 16*s. Let o(r) = 5*f(r) + 2*i(r). Solve o(y) = 0.
-2, 0, 2
Let r(n) be the second derivative of n**6/15 - n**4/3 + n**2 - 6*n. Factor r(y).
2*(y - 1)**2*(y + 1)**2
Let v be (28/(-8))/(-1*(-6)/(-4)). Let -2/3 + 7/3*q**5 - 2/3*q**4 - 14/3*q**3 + v*q + 4/3*q**2 = 0. Calculate q.
-1, 2/7, 1
Let k(p) be the third derivative of 1/180*p**6 - 1/30*p**5 + 0 + 0*p**3 - 4*p**2 + 1/18*p**4 + 0*p. Find d such that k(d) = 0.
0, 1, 2
Let q(m) be the second derivative of m**9/15120 + m**8/6720 - m**7/2520 - m**6/720 + m**4/3 - 3*m. Let g(h) be the third derivative of q(h). Factor g(