t derivative of -x**4/36 - 2*x**3/9 - x**2/2 + 5*x + 4. Let u(s) be the first derivative of i(s). Factor u(d).
-(d + 1)*(d + 3)/3
Let h(u) be the first derivative of -2/5*u**5 + 1 + 2*u**2 - 2*u + 2/3*u**4 + 7/3*u**3. Let q(c) be the first derivative of h(c). What is r in q(r) = 0?
-1/2, 2
Let p(n) be the first derivative of -49*n**4/8 + 175*n**3/6 - 22*n**2 + 6*n - 6. Determine g, given that p(g) = 0.
2/7, 3
Solve -5*v**3 + 5*v**2 - 8*v**2 - 2*v**2 = 0 for v.
-1, 0
Let q = 9 - 2. Factor 2*u + 4*u**2 - 9*u**2 + q*u**2.
2*u*(u + 1)
Factor -6*i - 3 - 3/4*i**3 - 15/4*i**2.
-3*(i + 1)*(i + 2)**2/4
Let j(d) be the third derivative of d**8/40320 - d**7/5040 + d**5/20 + 3*d**2. Let a(z) be the third derivative of j(z). Factor a(n).
n*(n - 2)/2
Let b(u) = 5*u + 37. Let y be b(-7). Determine q so that 1/2*q**4 + 0*q + 0*q**3 - q**y + 1/2 = 0.
-1, 1
Let a(z) = z**4 - z**2 + z. Let y(b) = b**2 + 4*b + 3. Let m be y(-4). Let w(i) = -3*i**4 - i**3 + 4*i**2 - 5*i. Let v(c) = m*w(c) + 15*a(c). Factor v(t).
3*t**2*(t - 1)*(2*t + 1)
Let s(w) be the second derivative of -w**5/90 - w**4/27 + 20*w**3/27 - 8*w**2/3 - w - 16. Factor s(g).
-2*(g - 2)**2*(g + 6)/9
Let i(u) = u + 2. Let w be i(2). Factor -7*y + 9*y - 5*y**2 + 10*y**3 - 3*y**2 - w*y**4.
-2*y*(y - 1)**2*(2*y - 1)
Let 2/7*r**3 - 2/7 + 2/7*r**2 - 2/7*r = 0. What is r?
-1, 1
Let b(z) be the third derivative of z**6/600 + z**5/75 + z**4/24 + z**3/15 + 7*z**2. Factor b(h).
(h + 1)**2*(h + 2)/5
Let w be ((-68)/80 + 1)/(2/16). Solve 0 + 2*d**3 - 4/5*d - w*d**2 = 0.
-2/5, 0, 1
Let q(r) be the second derivative of -r**8/840 - r**7/525 + 3*r**2/2 - 4*r. Let n(k) be the first derivative of q(k). Let n(h) = 0. What is h?
-1, 0
Let o(g) be the first derivative of -g**5/210 + 2*g**2 - 2. Let l(z) be the second derivative of o(z). Determine y, given that l(y) = 0.
0
Let k(a) be the first derivative of -a**6/240 - 3*a**5/80 - a**4/8 - a**3 + 2. Let p(o) be the third derivative of k(o). Suppose p(j) = 0. What is j?
-2, -1
Let f = -8 + 42. Let d(i) = 11*i**2 + 24*i - 41. Let z(q) = -2*q**2 - 4*q + 7. Let g(c) = f*z(c) + 6*d(c). Find y, given that g(y) = 0.
2
Let s(i) be the third derivative of -1/16*i**4 + 0*i - 3/80*i**5 + 0 - 1/160*i**6 + 0*i**3 - 5*i**2. Factor s(k).
-3*k*(k + 1)*(k + 2)/4
Let x be (3/4)/(258/688). Determine w, given that 0 - 1/4*w - 1/4*w**x = 0.
-1, 0
Let t(o) be the first derivative of 4*o**3/15 - 16*o**2/5 + 28*o/5 + 17. Find x such that t(x) = 0.
1, 7
What is t in -7*t**2 - 12*t**2 - 4*t**3 - 8 + 5*t**2 - 2*t**2 - 20*t = 0?
-2, -1
Suppose -2*x + z + 8 = 0, 2*x + x - 3*z = 15. Suppose x*w - 5 = 1. Suppose j**4 - 2*j**3 + j**3 + j**5 - 3*j**w + 2*j**2 = 0. Calculate j.
-1, 0, 1
Let u(z) be the first derivative of -11 + 0*z - 1/21*z**3 + 1/14*z**2. Factor u(s).
-s*(s - 1)/7
Let a(i) be the third derivative of -i**9/1008 - i**8/560 + i**7/140 + i**3/2 + 3*i**2. Let f(d) be the first derivative of a(d). Factor f(c).
-3*c**3*(c - 1)*(c + 2)
Let y(k) = k**2 + 4 - 4*k**3 + 7 - 11 + 3*k. Let f(l) = 8*l**3 - 3*l**2 - 5*l. Let s = 1 + -5. Let p(i) = s*f(i) - 7*y(i). Factor p(o).
-o*(o - 1)*(4*o - 1)
Let q(k) = -38*k**3 + k**2 - 2*k - 1. Let u be q(-2). Let h = -1235/4 + u. What is j in 0 + 3/4*j**4 + 3/4*j + 9/4*j**2 + h*j**3 = 0?
-1, 0
Let q(m) be the third derivative of -3*m**8/112 + m**7/7 - 7*m**6/30 + 2*m**5/15 - 35*m**2. Find w such that q(w) = 0.
0, 2/3, 2
Let w(h) be the first derivative of -h**3/2 + 3*h**2 - 6*h + 3. Factor w(m).
-3*(m - 2)**2/2
Let b(f) be the first derivative of 5*f**4/4 + 5*f**3/3 - 5*f**2 + 14. Factor b(i).
5*i*(i - 1)*(i + 2)
Let l(v) = -v**2 + 5*v + 3. Let h be l(5). Factor 2*u + 3*u**2 - 2*u**3 + 0*u**3 - h*u**2.
-2*u*(u - 1)*(u + 1)
Let y(g) be the third derivative of -17/60*g**6 - 7/24*g**8 + 1/7*g**4 - 4/5*g**7 + 0 - 8/21*g**3 + 0*g + 73/105*g**5 + 3*g**2. What is z in y(z) = 0?
-1, -2/7, 2/7
Let w(x) be the third derivative of -x**8/3192 + x**7/665 - x**6/380 + x**5/570 - 2*x**2. Factor w(v).
-2*v**2*(v - 1)**3/19
Suppose -1/4*h**2 + 0 + 1/2*h = 0. What is h?
0, 2
Let h(a) = -3*a**2 - 12*a - 4. Let i(p) = -2*p**2 - 11*p - 3. Let c(k) = 3*h(k) - 4*i(k). Solve c(x) = 0 for x.
0, 8
Let g(u) be the third derivative of -u**7/525 - u**6/10 - 2*u**5 - 50*u**4/3 - u**2. Solve g(b) = 0 for b.
-10, 0
Let j(y) be the third derivative of 2*y**2 + 1/40*y**6 - 1/112*y**8 + 0*y + 0*y**4 + 0*y**3 - 1/20*y**5 + 1/70*y**7 + 0. What is o in j(o) = 0?
-1, 0, 1
Let c be (52/12 + -4)*(7 + 5). Suppose 4*b**3 + 2*b**c + 2/5*b**5 + 2*b + 4*b**2 + 2/5 = 0. What is b?
-1
Let c be 199/45 - 16/80. Let t = -49/18 + c. Suppose t*z**4 - 8*z + 2 - 7*z**3 + 23/2*z**2 = 0. Calculate z.
2/3, 1, 2
Let n(t) be the second derivative of -t**6/70 + 3*t**5/140 - 7*t. Let n(k) = 0. What is k?
0, 1
Suppose -56 = -4*f + 4*r, -2*r - 6 = f + 2*r. Let d be -3 + 4 - 6/f. Determine j, given that 8/5*j**3 - 2/5*j**4 - 12/5*j**2 - d + 8/5*j = 0.
1
Let n = 556 + -2776/5. Factor -n*v - 4/5 - 1/5*v**2.
-(v + 2)**2/5
Let q(k) be the third derivative of 2*k**2 + 0*k + 1/16*k**4 + 1/60*k**5 + 1/12*k**3 + 0. Factor q(l).
(l + 1)*(2*l + 1)/2
Let w(a) be the third derivative of a**9/3780 - 3*a**8/2240 + a**7/420 - a**6/720 - a**4/24 + 2*a**2. Let b(k) be the second derivative of w(k). Factor b(v).
v*(v - 1)**2*(4*v - 1)
Let 13*f**3 - 105*f**2 - 44*f - 58*f - 53*f**3 - 5*f**4 + 12*f = 0. Calculate f.
-3, -2, 0
Let l(w) = 0*w**2 - 3*w**2 - 2 + 3*w - 2*w + w. Let s(k) = -7*k**2 + 5*k - 5. Let f(y) = -5*l(y) + 2*s(y). Factor f(g).
g**2
Let c(j) = -j**3 - 11*j**2. Let w(m) be the second derivative of m**5/10 + 4*m**4/3 - 6*m. Let s(k) = -7*c(k) - 5*w(k). Determine z so that s(z) = 0.
-1, 0
Let n(d) = d**4 - d**3. Let r(x) be the second derivative of -x**7/21 - x**6/30 + 3*x**5/20 + x. Let f(l) = -3*n(l) - r(l). Factor f(k).
2*k**4*(k - 1)
What is d in -24/7 - 4*d**4 + 76/7*d - 76/7*d**3 + 52/7*d**2 = 0?
-3, -1, 2/7, 1
Suppose 0 = -5*b + 30 - 5, -2*m - 17 = -5*b. Suppose 5*s - 2*p - m = -4*p, -6 = -3*p. Factor -1/2*d**2 + s - 1/2*d.
-d*(d + 1)/2
Let f(l) = -162*l**3 - 90*l**2 + 62*l - 6. Let a(y) = 324*y**3 + 180*y**2 - 123*y + 11. Let k(u) = 4*a(u) + 10*f(u). Let k(s) = 0. What is s?
-1, 2/9
Let x(j) be the first derivative of j**4/5 - 2*j**2/5 + 5. Factor x(p).
4*p*(p - 1)*(p + 1)/5
Let l(s) be the second derivative of -s**7/1680 + s**5/240 - 2*s**3/3 + 4*s. Let j(r) be the second derivative of l(r). Factor j(y).
-y*(y - 1)*(y + 1)/2
Let t be -3 + 0 + 4 + 1/(-3). Determine u so that -t - 4/3*u - 2/3*u**2 = 0.
-1
Let i = -1 - 6. Let d be (-2)/i - 704/(-280). Factor -2/5*t**4 + d*t**3 - 16/5 - 36/5*t**2 + 8*t.
-2*(t - 2)**3*(t - 1)/5
Let v(q) be the third derivative of q**7/42 - q**6/12 + q**5/12 + 11*q**2. Let v(t) = 0. Calculate t.
0, 1
Let h = -26 + 30. Let u be -2 - -5 - -1 - h. Let 2/13*b**2 + 10/13*b**3 + 0 + 14/13*b**4 + u*b + 6/13*b**5 = 0. What is b?
-1, -1/3, 0
Let w(y) be the first derivative of -y**5/35 + y**4/4 - 5*y**3/7 + 9*y**2/14 + 4. Determine d so that w(d) = 0.
0, 1, 3
Let o = -2 + 0. Let y(u) = u**4 - 1. Let j(w) = 4*w**4 + 2*w**3 - 4*w**2 - 2. Let c(m) = o*y(m) + j(m). Solve c(p) = 0 for p.
-2, 0, 1
Let m be -3 + (710/(-4))/(-5). Let c = m + -419/14. Factor c*r + 4/7 + 2*r**2.
2*(r + 1)*(7*r + 2)/7
Let t(b) be the first derivative of 3*b**5/5 - 9*b**4/4 + b**3 + 9*b**2/2 - 6*b - 12. Suppose t(h) = 0. Calculate h.
-1, 1, 2
Let c = -13 + 17. Factor -5 - 8*q + 4 + 1 + 4*q**c - 12*q**2.
4*q*(q - 2)*(q + 1)**2
Suppose 3*h + 91 = 5*p, -8 = -h + 5*p - 55. Let n be h/77 - (-108)/182. What is s in 0*s**3 + n*s**2 - 2/13*s**5 + 2/13*s - 4/13*s**4 + 0 = 0?
-1, 0, 1
Let z = 23/6 + -19/6. Factor -1/3 - z*w - 1/3*w**2.
-(w + 1)**2/3
Let u = -23/3 + 8. Let f(z) be the first derivative of u*z**3 - 3 + 1/12*z**4 + 0*z**2 - 4/3*z. Solve f(o) = 0.
-2, 1
Let c(p) be the second derivative of -p**6/18 - p**5/4 - 5*p**4/18 + 13*p. Determine k so that c(k) = 0.
-2, -1, 0
Let l(j) be the first derivative of j**4 + 4*j**3/3 - 10*j**2 + 12*j + 22. Solve l(c) = 0 for c.
-3, 1
Suppose -5*a + 0*a + l = -15, 0 = 3*a + 4*l + 14. Suppose 0 + 4 = a*d. Factor 0 + 2/9*c**3 - 2/9*c**d - 4/9*c.
2*c*(c - 2)*(c + 1)/9
Let d = 3 - 3. Factor 2/7*v + 4/7*v**2 + d + 2/7*v**3.
2*v*(v + 1)**2/7
Let l(t) be the second derivative of 2/15*t**6 + 9/20*t**5 + 