 derivative of -2*y**2 - 1/210*y**6 + 0*y + 0 + 0*y**3 + 1/735*y**7 + 1/210*y**5 + 0*y**4. Factor a(k).
2*k**2*(k - 1)**2/7
Let u(d) be the first derivative of 3/4*d**4 + 9/2*d**2 + 3*d**3 + 3*d - 4. Suppose u(p) = 0. Calculate p.
-1
Let m(y) be the third derivative of y**6/24 - y**5/4 - 28*y**2. Factor m(t).
5*t**2*(t - 3)
Suppose 0*a - 2/5*a**4 - 2/5*a**2 - 4/5*a**3 + 0 = 0. Calculate a.
-1, 0
Let u(w) be the first derivative of 2*w**3/3 - 3*w**2 + 4*w - 6. Factor u(b).
2*(b - 2)*(b - 1)
Let c(p) = -p**2 - 39*p. Let f be c(-39). Factor 3/4*x**2 + 0 + f*x.
3*x**2/4
Let h(m) = -m + 6. Let n be h(6). Suppose -2 = 2*z - 3*z. Find f, given that -3*f**z + n*f + 3*f - f - f = 0.
0, 1/3
Suppose 0 + 3/2*w**3 + 9/2*w**2 + 3*w = 0. Calculate w.
-2, -1, 0
Factor 6*a**2 + 24/5 - 6/5*a**3 - 48/5*a.
-6*(a - 2)**2*(a - 1)/5
Let y(c) = c**4 - c**2 - 1. Let x(k) = -8*k**4 - 2*k**3 + 2*k + 22. Let g(z) = 2*x(z) + 28*y(z). Let g(j) = 0. What is j?
-1, 1, 4/3
Let g(p) = 13*p**2 - 11*p - 2. Let u(j) = 53*j**2 - 45*j - 8. Let s(f) = -9*g(f) + 2*u(f). Suppose s(x) = 0. What is x?
-2/11, 1
Let a(k) be the first derivative of 2*k**3/27 + 4*k**2/9 - 10*k/9 + 16. Find g such that a(g) = 0.
-5, 1
Let c = 15 - 13. Let b be 0/(c + (-3 - -2)). Determine r so that -2*r**4 + 1/2*r + r**3 + b - 3/2*r**5 + 2*r**2 = 0.
-1, -1/3, 0, 1
Let f be (2 - 5) + 2 + 5. Suppose -31*o**2 - o**4 + 28*o**2 + 4*o**f = 0. Calculate o.
-1, 0, 1
Suppose 0 = 4*y - 9*y - 30. Let g be 42/11 + y/(-33). Suppose 12/5*q**3 - 8/5*q**g + 2/5*q**5 + 0 + 2/5*q - 8/5*q**2 = 0. Calculate q.
0, 1
Determine o so that -2/3*o**3 + 0 - 2/3*o - 4/3*o**2 = 0.
-1, 0
Factor -7/4*u**2 + 0 + 1/2*u.
-u*(7*u - 2)/4
Let g = -71/30 - -19/6. Factor -2/5*m**3 + 0*m**2 + 0*m + 0 + g*m**4 - 2/5*m**5.
-2*m**3*(m - 1)**2/5
Let f(l) be the first derivative of -l**4/4 + 2*l**3/3 + 3. Let f(j) = 0. Calculate j.
0, 2
Let a(z) = 2*z**2 + 5*z. Let o(k) = k**2 + 4*k. Let x(u) = -4*a(u) + 5*o(u). Factor x(m).
-3*m**2
Let g(a) be the second derivative of -3*a**5/20 - a**4/4 + 5*a. Determine q, given that g(q) = 0.
-1, 0
Let i(o) be the second derivative of 25*o**6/6 - 20*o**5 + 10*o**4 + 160*o**3/3 + 40*o**2 + 4*o. Factor i(u).
5*(u - 2)**2*(5*u + 2)**2
Let x = 65/4 - 16. Factor x + z**3 + z + 1/4*z**4 + 3/2*z**2.
(z + 1)**4/4
Let a(u) be the second derivative of u**6/1620 - u**5/540 - u**3/6 - 2*u. Let p(g) be the second derivative of a(g). Factor p(w).
2*w*(w - 1)/9
Let t(l) be the second derivative of -l**6/75 - 7*l**5/100 - l**4/30 + l**3/10 + 5*l. Suppose t(r) = 0. What is r?
-3, -1, 0, 1/2
Let a(w) = 0 - w**2 - 3*w + 2 - 5*w - 2*w. Let i be a(-10). Factor -4/5*s + 0 + 6/5*s**3 + 2/5*s**i.
2*s*(s + 1)*(3*s - 2)/5
Find f, given that -32/7*f - 20/7*f**2 - 4/7*f**3 - 16/7 = 0.
-2, -1
Factor -81*h - 12 - 43*h**2 + 5*h**3 - h**3 + 62*h - 40*h.
(h - 12)*(h + 1)*(4*h + 1)
Let n(g) be the second derivative of -g**4/3 + 2*g**2 - 15*g. Factor n(m).
-4*(m - 1)*(m + 1)
Factor -3*h + 14*h**5 - 16*h**5 + 3*h + 6*h**3 + 4*h**2.
-2*h**2*(h - 2)*(h + 1)**2
Let g(y) be the third derivative of -y**8/560 + y**7/140 - y**6/120 - y**3/6 - 6*y**2. Let q(b) be the first derivative of g(b). Factor q(v).
-3*v**2*(v - 1)**2
Let i(w) = 6*w**2 - 6*w + 2. Let d = -5 + 3. Let t(x) = -x**2 + x. Let y(k) = d*i(k) - 14*t(k). Factor y(c).
2*(c - 2)*(c + 1)
Let s(j) be the first derivative of 2*j**3/15 - j**2/5 - 4*j/5 - 25. Let s(w) = 0. What is w?
-1, 2
Let k(o) be the third derivative of 4*o**2 + 1/200*o**6 - 1/560*o**8 + 1/100*o**5 + 0 + 0*o - 1/350*o**7 + 0*o**4 + 0*o**3. Find u such that k(u) = 0.
-1, 0, 1
Suppose 0 = -5*d - 5*y + 15, -3*d - y = y - 9. Let g(l) be the third derivative of -d*l**2 + 1/6*l**3 + 1/6*l**4 + 0*l + 0 + 1/16*l**5. Let g(c) = 0. What is c?
-2/3, -2/5
Let o(y) = -4*y**4 + 8*y**3 - 6*y**2 + 2*y. Let l(r) = -14*r**4 + 25*r**3 - 19*r**2 + 8*r + r**4 - r. Let w(d) = 2*l(d) - 7*o(d). Factor w(m).
2*m**2*(m - 2)*(m - 1)
Let a = 56 + -273/5. Factor -9/5*s + 2/5 + a*s**2.
(s - 1)*(7*s - 2)/5
Let p be (1*24)/4 - 3. Let d(z) = z**3 - 2*z**2 - z - 4. Let s be d(3). Let 2/3*f**p + 2*f + 2/3 + 2*f**s = 0. Calculate f.
-1
Suppose -6*g + 2*g + 12 = 0. Let v be g/(-4) + (-85)/(-60). Factor 1/3 + 1/3*x**2 - v*x.
(x - 1)**2/3
Let m(h) be the first derivative of -2 + 8*h**2 + 8/3*h**3 - 2*h**5 - 1/3*h**6 - 3*h**4 + 0*h. Solve m(n) = 0.
-2, 0, 1
Let n(c) be the third derivative of 0*c + 2*c**3 - 5*c**2 - 1/15*c**5 + 0 + 1/3*c**4. What is y in n(y) = 0?
-1, 3
Let b(a) = -11*a**2 + 6*a. Let t(n) = 2*n**2 + 2*n. Let o(j) = j**2. Let f(l) = -6*o(l) + t(l). Suppose 31 - 1 = -5*z. Let r(d) = z*b(d) + 17*f(d). Factor r(u).
-2*u*(u + 1)
Let a be (2*1/24)/((-95)/(-76)). Let l(z) be the third derivative of 0*z**3 + 1/60*z**6 + 1/12*z**4 - a*z**5 + z**2 + 0*z + 0. Suppose l(r) = 0. What is r?
0, 1
Let w = -1 - -4. Suppose 20 = 2*c + w*c. Determine f, given that f + 4*f - c*f + f - 2*f**2 = 0.
0, 1
Let w = 166 + -163. Let n(j) be the third derivative of -1/15*j**w - 1/120*j**4 + 0*j + 1/300*j**5 - j**2 + 0. Factor n(k).
(k - 2)*(k + 1)/5
Factor -17082*n**2 + 1 + 17084*n**2 - 1 + 22*n.
2*n*(n + 11)
Let t(a) be the third derivative of -4*a**2 + 0 - 1/12*a**4 + 0*a**5 + 1/60*a**6 + 0*a**3 + 0*a. Let t(m) = 0. What is m?
-1, 0, 1
Let r = -225105/36568 + -3/57464. Let v = r - -74/11. Determine d, given that -2/7*d - v + 2/7*d**2 = 0.
-1, 2
Let y(d) = -d**2 + 17*d - 50. Let i be y(13). Let a(h) be the first derivative of 0*h**2 + 0*h - 2/3*h**3 + i + 1/2*h**4. Factor a(z).
2*z**2*(z - 1)
Let -6*p**2 - 12*p**2 - 3*p**3 - 36*p + 0*p**2 - 24 = 0. What is p?
-2
Let b be -1 + (-15)/(0 + -1). Suppose -2*v - 3*v - 2*w + 18 = 0, 5*v + w = b. Suppose v*g - 3*g**2 - 5*g**2 + 6*g**2 = 0. What is g?
0, 1
Factor 20/3 + 28/3*u**2 - 4/3*u**3 - 44/3*u.
-4*(u - 5)*(u - 1)**2/3
Let n be (19/19)/(1/2). Factor -4/9 + 2/9*b**3 - 2/9*b + 4/9*b**n.
2*(b - 1)*(b + 1)*(b + 2)/9
Solve -2/5*n**2 + 32/15*n - 2/3 = 0 for n.
1/3, 5
Let m(g) = 11*g**4 + 7*g**3 - 7*g**2 + 17*g - 17. Let j(q) = 2*q**4 + q**3 - q**2 + 3*q - 3. Let o(b) = 34*j(b) - 6*m(b). Factor o(w).
2*w**2*(w - 2)**2
Solve 0 + 0*n**2 + 2/5*n**4 - 6/5*n**3 + 8/5*n = 0 for n.
-1, 0, 2
Let m(j) be the second derivative of -j**8/13440 - j**7/5040 + j**6/1440 + j**5/240 - j**4/4 + j. Let l(o) be the third derivative of m(o). Factor l(n).
-(n - 1)*(n + 1)**2/2
Factor 2*s - 1/2*s**2 - 3/2.
-(s - 3)*(s - 1)/2
Let r = -5 + 9. Let k(b) = -b**2 - 6*b - 6. Let d be k(-4). Factor s**3 + 0*s**3 + s**r - d*s**3.
s**3*(s - 1)
Suppose 0 = -f - 5*c - 17, 5*f - 3*c = -2*c + 19. Solve -28/9*z**f - 50/9*z**2 - 4/9 - 26/9*z = 0.
-1, -1/2, -2/7
Let m = 9 - 4. Let k(l) = 5*l**3 + 9*l**2 - 15*l + 7. Let r(d) = -11*d**3 - 17*d**2 + 31*d - 13. Let h(x) = m*k(x) + 3*r(x). Factor h(s).
-2*(s - 1)*(s + 2)*(4*s - 1)
Suppose -683*p**2 + 484*p - 94*p**3 - 4*p**4 + 287*p**2 + 10*p**3 = 0. Calculate p.
-11, 0, 1
Let k(p) be the second derivative of p**6/30 - p**4/12 - p**3/6 - 7*p. Let q(w) = 6*w**4 + 2*w**3 - 5*w**2 - 7*w - 1. Let c(y) = -5*k(y) + q(y). Factor c(j).
(j - 1)*(j + 1)**3
Let a = 72 - 72. Let u(w) be the third derivative of -w**2 + 0*w**3 + a + 1/105*w**7 + 1/12*w**6 + 4/15*w**5 + 0*w + 1/3*w**4. Find s, given that u(s) = 0.
-2, -1, 0
Let j = 545/78 - -9/26. Let f = 8 - j. Factor 3*d**3 + 13/3*d - f - 20/3*d**2.
(d - 1)**2*(9*d - 2)/3
Let f(j) be the second derivative of -j**4/12 + 2*j**3/3 + 2*j**2 - 2*j. Let s(r) = -2*r**2 + 7*r + 7. Let p(v) = 7*f(v) - 4*s(v). Factor p(m).
m**2
Let o(y) = -6*y**3 + 8*y - 7. Let l(d) = 7*d**3 - 9*d + 8. Let u = -21 + 15. Let a(k) = u*o(k) - 5*l(k). Find w such that a(w) = 0.
-2, 1
Let r(k) be the first derivative of -k**4/2 - 4*k**3 - 12*k**2 - 16*k + 12. Solve r(b) = 0.
-2
Let j = -4 + 6. Factor -2*m + m**j - 3*m**3 - 6 + 11*m - m**2.
-3*(m - 1)**2*(m + 2)
Let k(i) be the third derivative of i**8/30240 + i**7/3780 + i**6/1080 + i**5/15 + 3*i**2. Let j(r) be the third derivative of k(r). Factor j(b).
2*(b + 1)**2/3
Let z be 2 - 1/((-3)/(-3)). Factor 3 - t**2 + z + t - 4.
-t*(t - 1)
Let r(p) = 3*p**2 + 1. Let b be r(1). Factor -4*s - 2*s**4 - 2 + b*s**2 + 2*s + 2*s.
-2*(s - 1)**2*(s + 1)**2
Let w(j) be the first derivative of -7*j**5/180 + j**4/8 - j**3/9 - j**2/2 - 1. Let v(r) be the second derivative of w(r). Let v(q) =