 + 6/5*w**3 - 2/5*w**5 = 0. Calculate w.
-1, 0, 2
Let h(z) be the first derivative of 0*z - 4/11*z**2 - 1/22*z**4 - 1 - 8/33*z**3. Let h(w) = 0. What is w?
-2, 0
Let k = -415 + 418. Let c(v) be the third derivative of 1/120*v**6 - 1/20*v**5 + 1/3*v**k - 1/24*v**4 + 1/210*v**7 - v**2 + 0 + 0*v. Factor c(n).
(n - 1)**2*(n + 1)*(n + 2)
Let 5/2*j**3 + 0*j + 1/4*j**4 + 25/4*j**2 + 0 = 0. Calculate j.
-5, 0
Find y such that 42/11*y - 2/11*y**2 + 4 = 0.
-1, 22
Let q(a) be the first derivative of a**3 - 5 + 9/2*a**2 - 9/4*a**4 - 3*a. Determine l, given that q(l) = 0.
-1, 1/3, 1
Let w(l) = -l**2 + 4*l + 12. Let o be w(5). Suppose 0 = k - 2 - 1. Find d, given that -k - 9*d + 0*d**3 + 3*d**5 + o*d**3 - 6*d**2 + 9*d**4 - d**3 = 0.
-1, 1
Let f(u) be the second derivative of 1369*u**4/12 + 74*u**3/3 + 2*u**2 + 61*u. Determine n, given that f(n) = 0.
-2/37
Let y(u) = -205*u + 413. Let r be y(2). Factor -6*s**2 - 2/3 - 4*s - 8/3*s**r.
-2*(s + 1)**2*(4*s + 1)/3
Let j(w) be the second derivative of 3*w**5/20 + 2*w**4 + 7*w**3/2 - 78*w. Factor j(l).
3*l*(l + 1)*(l + 7)
Let x(s) = s**2 + s - 1. Let t(v) = -9*v**2 - 3. Let g(n) = t(n) + 12*x(n). Solve g(b) = 0 for b.
-5, 1
Let d be (-8 + 11)*((-2)/2)/(-1). Let v(u) be the first derivative of -1/9*u**d + 1/3*u - 1/12*u**4 + 1/6*u**2 + 4. Factor v(w).
-(w - 1)*(w + 1)**2/3
Let k be (-5)/(180/(-8)) + 16/9. Let s(j) be the first derivative of 1/24*j**4 + 0*j + 0*j**k - 1/18*j**3 + 3. What is w in s(w) = 0?
0, 1
Suppose -2*h = -5*h + 18. Let g(s) = -s**2 + 11*s + 3. Let u be g(h). Factor 5*d - 35*d**2 + u*d**2 - d.
-2*d*(d - 2)
Suppose 1185 - 784*s + 187 - s**4 - s**3 - 79*s**3 - 3*s**4 - 504*s**2 = 0. Calculate s.
-7, 1
Let d = 43 - 41. Let v(y) = -y**2 - 4*y + 2. Let h(o) = 2*o**2 + 5*o - 3. Let u(q) = d*h(q) + 3*v(q). What is l in u(l) = 0?
0, 2
Let k be (-1)/8 + (-25)/(-200). Factor 4/7*m**3 + k*m + 4/7*m**2 + 0.
4*m**2*(m + 1)/7
Suppose 4*x = -5*d + 32, -5*x + 9 = 2*d - 14. Factor 21*a**3 - 17*a**4 - 2*a**5 - 32*a**2 - d + 5*a**4 - 49*a**3 - 18*a.
-2*(a + 1)**4*(a + 2)
Suppose -2*z = 2*z. Suppose z = -u + 52 - 50. Factor -6*f + u*f**2 + f**2 - 6 + 3*f.
3*(f - 2)*(f + 1)
Let y(v) be the third derivative of -v**8/84 + 2*v**7/15 - 8*v**6/15 + 4*v**5/5 - 19*v**2 + 7*v. Factor y(j).
-4*j**2*(j - 3)*(j - 2)**2
Suppose z - o + 3 = 4*o, 2*o = z. Factor -12 - 17*l**z - 32*l**2 - 36*l + 10*l**2 - 3*l**4 - 18*l**3.
-3*(l + 1)**2*(l + 2)**2
Solve -10 + 164*k**2 - 3*k - 80*k**2 - 83*k**2 = 0.
-2, 5
Let q(d) = -3*d**2 - 11*d + 5. Let g be 39/21 + 4/28. Let i(z) = -z**2 - 28*z + 12 - 5*z**2 - 2*z**g. Let w(j) = -5*i(j) + 12*q(j). Let w(l) = 0. What is l?
-2, 0
Let z(g) be the first derivative of -3*g**5/5 + 15*g**4/16 + 15*g**3/4 - 15*g**2/2 + 3*g + 320. Find m such that z(m) = 0.
-2, 1/4, 1, 2
Let q(s) be the third derivative of -s**8/4032 + s**7/2016 + 7*s**5/30 - 6*s**2. Let r(z) be the third derivative of q(z). Determine x, given that r(x) = 0.
0, 1/2
Suppose 12*x - 30 = 9*x. Let b be 34/10 - 2 - 10/x. Factor -4/5*t**2 + b*t**5 + 4/5*t**3 - 6/5*t + 6/5*t**4 - 2/5.
2*(t - 1)*(t + 1)**4/5
Suppose 0 = -9*u + 14*u + g, 2*u = 5*g. Let p = -10 + 13. Factor 0*v**2 - 1/10*v**p + 3/10*v**5 + 0 + u*v - 1/5*v**4.
v**3*(v - 1)*(3*v + 1)/10
Factor 9*p**4 - 8*p**4 - 5*p**3 + 29*p**3 - 5*p**4 + 28*p**2.
-4*p**2*(p - 7)*(p + 1)
Let p(g) be the first derivative of 7 + 3/8*g**2 + 1/4*g + 1/4*g**3 + 1/16*g**4. Suppose p(b) = 0. What is b?
-1
Let s(v) be the third derivative of -5/336*v**8 + 0*v + 1/12*v**5 + 0 - 1/42*v**7 + 0*v**4 + 1/24*v**6 + 0*v**3 - 12*v**2. Factor s(d).
-5*d**2*(d - 1)*(d + 1)**2
Let 15*z + 20*z - 22*z - 4 + 1 + 100*z**2 = 0. What is z?
-1/4, 3/25
Find t such that 56*t**3 - 50*t**2 - 58*t**3 - 286*t + 327 + 11 = 0.
-13, 1
Let w(h) = -6*h**4 - 55*h**3 - 94*h**2 - 41*h - 4. Let j(t) = -13*t**4 - 110*t**3 - 187*t**2 - 83*t - 7. Let k(f) = 4*j(f) - 7*w(f). Factor k(d).
-5*d*(d + 1)*(d + 3)*(2*d + 3)
Suppose -12*j + 3*j + 27 = 0. Let y(m) be the second derivative of 1/4*m**4 + 0 - j*m + 1/20*m**5 - 2*m**2 + 0*m**3. Solve y(t) = 0.
-2, 1
Let f(s) be the first derivative of -s**6/240 - s**5/60 + s**4/48 + s**3/6 + 4*s**2 + 15. Let v(l) be the second derivative of f(l). What is o in v(o) = 0?
-2, -1, 1
Let z(v) be the third derivative of v**7/20160 + v**6/5760 - v**5/160 + v**4/12 - 15*v**2. Let w(x) be the second derivative of z(x). Factor w(j).
(j - 2)*(j + 3)/8
Let m = 4609/3 + -1586. Let g = -49 - m. Solve 2/3*n**3 + g*n + 4/3*n**2 + 0 = 0.
-1, 0
Let w(x) be the first derivative of -5/3*x**2 - x**3 - 1 - 1/3*x. Suppose w(j) = 0. Calculate j.
-1, -1/9
Let y(r) be the third derivative of -r**9/68040 + r**7/11340 - 5*r**4/12 - 2*r**2. Let u(k) be the second derivative of y(k). Let u(l) = 0. What is l?
-1, 0, 1
Let t(a) = 9*a**4 - 9*a**3 - 5*a + 5. Let g = -8 - -5. Let q(k) = -5*k**4 + 5*k**3 + 3*k - 3. Let x(w) = g*t(w) - 5*q(w). Solve x(c) = 0 for c.
0, 1
Let a(m) = -5*m**4 + 12*m**3 + 2*m**2 + 8*m + 3. Let h(n) = n**4 - 3*n**3 - 2*n - 1. Let g(u) = a(u) + 4*h(u). Find l, given that g(l) = 0.
-1, 1
Let o(r) = 2*r**2 + 2*r. Let g(a) = -9*a**2 + 45. Let c(k) = -g(k) - 3*o(k). Find w, given that c(w) = 0.
-3, 5
Let k be 3*(-9 - (-545)/60). Suppose 0 - 1/4*b**4 + 1/4*b**2 - k*b**3 + 1/4*b = 0. Calculate b.
-1, 0, 1
Let 0*s + 0 - 6/13*s**3 + 4/13*s**2 + 2/13*s**4 = 0. What is s?
0, 1, 2
Let x(h) be the second derivative of h**5/140 + h**4/84 - 10*h**3/21 - h + 300. Determine g, given that x(g) = 0.
-5, 0, 4
Let g(b) = 15*b**4 - 10*b**3 - 35*b**2 + 10*b - 15. Let w(v) = 23*v**4 - 15*v**3 - 53*v**2 + 15*v - 26. Let x(m) = -8*g(m) + 5*w(m). Let x(d) = 0. What is d?
-1, 1, 2
Let t(y) be the second derivative of -7/3*y**3 - 5*y + 49/2*y**2 + 1/12*y**4 + 0. Find v such that t(v) = 0.
7
Let t = 3026 + -15126/5. Factor -12/5*n**4 + 0*n**2 + 0*n + 0 + t*n**3.
-4*n**3*(3*n - 1)/5
Suppose 4*m = 3*c - 32, -22 = 4*m - 2. Suppose -c*p - 21 = -37. Factor 0*f**2 - 6/7*f**p - 4/7*f**3 + 0 - 2/7*f**5 + 0*f.
-2*f**3*(f + 1)*(f + 2)/7
Let f(r) be the first derivative of 3/2*r**4 - 10/3*r**3 + 24 + 2/5*r**5 - 3*r**2 + 8*r. Factor f(z).
2*(z - 1)**2*(z + 1)*(z + 4)
Let b(m) = -m**3 + 2*m + 1. Let z(n) = -7*n**3 - 43*n**2 - 124*n - 72. Let i(y) = 6*b(y) - 2*z(y). Factor i(a).
2*(a + 5)**2*(4*a + 3)
Suppose 0 = 91*i - 36*i - 120 - 100. Solve -8/3*x**3 + 16/3*x - 16/3 - 4/3*x**i + 4*x**2 = 0 for x.
-2, 1
Let b = 46 - 43. Factor 0*p**2 - 10*p**b + 2*p - 318*p**4 + 324*p**4 + 2*p**2.
2*p*(p - 1)**2*(3*p + 1)
Let y(d) be the third derivative of d**8/7140 - d**7/2380 + d**5/1020 - 3*d**3/2 - 13*d**2. Let i(l) be the first derivative of y(l). Factor i(z).
2*z*(z - 1)**2*(2*z + 1)/17
Let k(s) be the third derivative of -s**8/448 - s**7/28 - 9*s**6/160 + 13*s**5/20 - s**4 - 45*s**2 - 3. Suppose k(o) = 0. Calculate o.
-8, -4, 0, 1
Let u = -529/5 - -106. Let t(v) be the second derivative of 4/3*v**3 + 1/3*v**4 - u*v**5 + 0*v**2 + 9*v + 0. Factor t(k).
-4*k*(k - 2)*(k + 1)
Let m(s) be the first derivative of 0*s - 1/2*s**2 - s**3 - 2 - 1/20*s**5 - 3/8*s**4. Let f(q) be the second derivative of m(q). What is o in f(o) = 0?
-2, -1
Let k = 1831/3 + -609. Suppose -k*q**2 - 2/3*q**3 + 4/3 + 2/3*q = 0. What is q?
-2, -1, 1
Let -474/7*v - 228/7*v**2 - 240/7 + 6/7*v**3 = 0. What is v?
-1, 40
Let i(z) be the first derivative of 11*z**6/30 - 42*z**5/25 - 19*z**4/20 + 14*z**3/5 + 4*z**2/5 + 48. Suppose i(f) = 0. Calculate f.
-1, -2/11, 0, 1, 4
Let u be (2/(-12))/(-1 - (-5)/15). Factor d**2 - d + 0 - 1/4*d**4 + u*d**3.
-d*(d - 2)*(d - 1)*(d + 2)/4
Factor -c - 2 + 9*c**3 - 7 + 4 - 1 + 4 + 18*c**2.
(c + 2)*(3*c - 1)*(3*c + 1)
Suppose 0 = w - 5*i - 3 - 1, 2*i = -5*w - 7. Let n = 2 - w. Let 10*f**2 + 8*f + 1 - 3 - 8*f**n - 8*f**2 = 0. What is f?
-1, 1/4, 1
Let p(b) be the third derivative of b**8/3360 - b**7/252 - b**6/45 - b**5/20 + 17*b**2. Let m(d) be the third derivative of p(d). Factor m(s).
2*(s - 4)*(3*s + 2)
Let s be (134 + -134)/(0 + -2). Determine b so that 2/5*b**2 + s + 6/5*b = 0.
-3, 0
Suppose -3*o - 3 + 12 = 0. Suppose -2*u - 4*k = 0, 4*u + 5*k - 28 = -16. Factor -o*m**4 + 3*m - 2*m**3 + 1 - 3*m**5 + 10*m**2 - u*m**2 + 2*m**5.
-(m - 1)*(m + 1)**4
Let o = -102 - -140. Suppose o*r = 44*r - 30. Factor -5*y - 10/3*y**2 + r*y**4 - 5/3 + 5/3*y**5 + 10/3*y**3.
5*(y - 1)*