actor -q*r**3 + 4/5 + 24/5*r**v + 22/5*r.
-2*(r - 2)*(3*r + 1)**2/5
Let x(g) be the first derivative of -294*g**6 - 84*g**5 + 293*g**4 + 268*g**3 + 96*g**2 + 16*g + 1. Find s, given that x(s) = 0.
-1/3, -2/7, 1
Factor -2*k**3 - 3*k**3 + k**2 + 6*k**3 - 2*k**3.
-k**2*(k - 1)
Let o = -10/11 + 51/44. Let t(h) be the first derivative of 0*h**3 - o*h**4 + 1/2*h**2 + 0*h + 1. Solve t(c) = 0 for c.
-1, 0, 1
Let w(m) be the second derivative of m**6/30 - 7*m**5/100 - m**4/20 + 7*m**3/30 - m**2/5 - 2*m. Find o, given that w(o) = 0.
-1, 2/5, 1
Suppose 9 = 2*i + i. Solve 3*g**3 + 2*g**4 - 2*g**2 + 0*g**2 - 3*g**i = 0 for g.
-1, 0, 1
Let x be 4/(0 + (-2 - -3)). Solve 3*r + 167*r**x + 327*r**3 + 5*r + 211*r**4 + 108*r**2 + 147*r**5 + 4*r = 0 for r.
-1, -2/7, 0
Let p(f) = f + 11 + 2*f + 6*f**2 - 5*f**2. Let q(b) = -b**2 - 2*b - 10. Let z(r) = -6*p(r) - 7*q(r). Factor z(d).
(d - 2)**2
Let t(d) = 3*d + 39. Let w be t(-12). Let s(a) be the first derivative of -21/2*a**4 + 44/3*a**w - 4*a + a**2 + 2. Suppose s(v) = 0. Calculate v.
-2/7, 1/3, 1
Let c(s) = 5*s**3 - s**2 - s + 3. Let w(q) = -6*q**3 + 2*q**2 - 3. Suppose -3*h + 5 = -16. Let n(i) = h*c(i) + 6*w(i). Factor n(u).
-(u - 3)*(u - 1)**2
Suppose 2*q - 1 = 37. Factor -8*j + q*j**2 - 42*j**2 + 19*j**2.
-4*j*(j + 2)
Let g(z) = -7*z - 2. Let q be g(-3). Factor 6*y**3 - 48*y**4 - 3*y + 2*y**2 - 30*y**3 + q*y**2.
-3*y*(y + 1)*(4*y - 1)**2
Let k(l) be the third derivative of l**8/2520 + l**3/6 + l**2. Let g(d) be the first derivative of k(d). Let g(j) = 0. Calculate j.
0
Let l(t) be the first derivative of -t**9/6048 - t**8/1120 - t**7/560 - t**6/720 - 5*t**3/3 + 2. Let v(g) be the third derivative of l(g). Factor v(y).
-y**2*(y + 1)**3/2
Let r(s) be the first derivative of 1/2*s**3 - 5 - 3/8*s**4 + 3/4*s**2 - 3/2*s. Suppose r(q) = 0. What is q?
-1, 1
Let z(p) = 4*p**4 + p**3 - 5*p**2 + 5*p - 5. Let w(j) = 2*j**4 + j**3 - 3*j**2 + 3*j - 3. Let q(s) = 5*w(s) - 3*z(s). Factor q(y).
-2*y**3*(y - 1)
Let g(w) = w**2 - 5*w + 2. Let j(y) = y**2 - 6*y + 3. Let t(x) = -5*g(x) + 4*j(x). Factor t(s).
-(s - 2)*(s + 1)
Let c(s) = 3*s**4 - 9*s**3 + 6*s**2 + 3*s. Let l(t) = 3*t**4 - 9*t**3 + 6*t**2 + 4*t. Let a(p) = -4*c(p) + 3*l(p). Factor a(g).
-3*g**2*(g - 2)*(g - 1)
Suppose -2*b + 6*b - 4*k - 36 = 0, 5*k = 4*b - 36. Suppose -b*a = -11*a. Find s, given that a*s + 0 - 2/13*s**2 - 2/13*s**3 = 0.
-1, 0
Let r(s) be the second derivative of s**8/336 - s**6/30 - s**5/30 + s**4/8 + s**3/3 - s**2/2 - s. Let q(j) be the first derivative of r(j). Factor q(l).
(l - 2)*(l - 1)*(l + 1)**3
Let u = -28 + 31. Let j = u - -1. Factor 1/6*w**j - 1/6*w + 0 - 1/2*w**3 + 1/2*w**2.
w*(w - 1)**3/6
Let s(p) be the third derivative of -4/21*p**3 + 0*p + 0 - 1/735*p**7 + 3*p**2 - 13/210*p**5 + 1/70*p**6 + 1/7*p**4. Factor s(d).
-2*(d - 2)**2*(d - 1)**2/7
Let n(x) be the second derivative of -x**6/5 - x**5/5 + 11*x**4/24 + 2*x**3/3 + x**2/4 - 15*x. What is b in n(b) = 0?
-1, -1/2, -1/6, 1
Let t(o) be the first derivative of 3 + 3/8*o**2 + 1/16*o**4 - 1/4*o - 1/4*o**3. Solve t(j) = 0 for j.
1
Let h(x) = -11*x**5 - 15*x**4 - 15*x**3 - 11*x**2. Let n(j) = j**5 + j**4 + j**3 + j**2. Let s(w) = -2*h(w) - 18*n(w). Factor s(u).
4*u**2*(u + 1)**3
Let a(w) be the third derivative of w**8/672 + w**7/70 + 13*w**6/240 + w**5/10 + w**4/12 + 21*w**2. Factor a(b).
b*(b + 1)**2*(b + 2)**2/2
Let x(p) be the second derivative of -p**4/132 + 4*p**3/33 + 24*p. Determine f, given that x(f) = 0.
0, 8
Factor 1/4*r**3 - r**2 + 0 + 3/4*r.
r*(r - 3)*(r - 1)/4
Let u(n) = n**2 + 5*n + 2. Let y be u(-3). Let p be y/(-12) - 2/18. Factor -p*q**2 + 4/9*q - 2/9.
-2*(q - 1)**2/9
Let v(i) be the first derivative of 21/2*i**4 - 6*i + 1/2*i**6 - 18/5*i**5 + 27/2*i**2 + 6 - 16*i**3. Factor v(x).
3*(x - 2)*(x - 1)**4
Let a(y) = 9*y**3 - 21*y**2 - 30*y + 4. Let c(i) = 55*i**3 - 125*i**2 - 180*i + 25. Let n(s) = -25*a(s) + 4*c(s). Factor n(w).
-5*w*(w - 6)*(w + 1)
Let g(r) be the third derivative of -7/160*r**6 + 27/448*r**8 + 59/120*r**5 + 0*r + 1/3*r**3 - 3/20*r**7 + 0 + 6*r**2 - 5/8*r**4. Solve g(v) = 0 for v.
-1, 2/9, 2/3, 1
Let a(x) be the third derivative of -x**8/1008 + x**7/105 - 11*x**6/360 + x**5/90 + x**4/6 - 4*x**3/9 + 4*x**2. Find f such that a(f) = 0.
-1, 1, 2
Let s(v) be the third derivative of -v**7/630 - 7*v**6/90 - 37*v**5/30 - 91*v**4/18 - 169*v**3/18 + 25*v**2. Determine u, given that s(u) = 0.
-13, -1
Suppose 2*k + 20 = 6*k. Factor k + 2 + 6*v**3 - 6*v - 3 - 5*v**2 + v**2.
2*(v - 1)*(v + 1)*(3*v - 2)
Let y(p) be the second derivative of 1/5*p**2 + 1/30*p**4 + 2/15*p**3 + 2*p + 0. Let y(v) = 0. Calculate v.
-1
Let c = -6 - -10. Suppose -4*h = -3*w - 3, 0 = h - 0*h - 4*w - c. Factor 72/7*t**4 + 8/7*t**3 + 0*t**2 + h*t + 162/7*t**5 + 0.
2*t**3*(9*t + 2)**2/7
Let h be (3*(-8)/18)/22*-3. Solve 0*c + h*c**2 + 0 + 0*c**3 - 2/11*c**4 = 0 for c.
-1, 0, 1
Let y(s) be the second derivative of -s**2 + 0 - 1/10*s**5 + 1/6*s**4 + 5*s + 1/3*s**3. Factor y(z).
-2*(z - 1)**2*(z + 1)
Factor 4/3 + 2/3*i**2 - 2*i.
2*(i - 2)*(i - 1)/3
Let r(o) = -o**3 + 3*o**2 + o - 3. Let k be r(3). Factor 2*z**2 + 1 + k + 0 - 3*z**2.
-(z - 1)*(z + 1)
Let d = -9808 - -412067/42. Let s = d - -3/14. Suppose 2*y**4 + 0 + 4/3*y**2 + s*y**3 + 0*y = 0. What is y?
-1, -2/3, 0
Let q(j) = -7*j**3 - 4 - j**3 + 5*j**5 + 2*j**3 - 12*j**4 + 16*j**2 - 3*j. Let c(n) = -n**5 + n**2 - 1. Let g(k) = -4*c(k) + q(k). Let g(z) = 0. Calculate z.
-1, 0, 1/3, 1
Let z(w) be the first derivative of w**2 + 2 - w - 1/3*w**3. Factor z(l).
-(l - 1)**2
Let t(b) be the second derivative of b**7/1050 - b**6/150 + b**5/75 + 2*b**3/3 + 4*b. Let j(f) be the second derivative of t(f). Factor j(k).
4*k*(k - 2)*(k - 1)/5
Suppose -n - 14 = -0*n. Let v be (n/(-21))/(2 - 1). Let -v*y**2 + 2/9 + 4/9*y = 0. What is y?
-1/3, 1
Let g = 812 + -808. Solve 14/3*n**g + 4/3*n**2 + 0*n + 0 - 6*n**3 = 0.
0, 2/7, 1
Let v(u) be the first derivative of 2*u**5/5 - u**4/2 - 2*u**3/3 + u**2 + 2. Factor v(r).
2*r*(r - 1)**2*(r + 1)
Let g(q) be the first derivative of -1/2*q**2 + 1/3*q**3 + 1 + 0*q. Factor g(x).
x*(x - 1)
Suppose 3*t - 24 = -5*t. Factor -12*x - 81*x**t + 0 + 81/2*x**4 + 54*x**2.
3*x*(3*x - 2)**3/2
Let h = 1/2 + -25/54. Let f(x) be the second derivative of -x + 0*x**2 - h*x**3 + 2/27*x**4 + 0. Find n such that f(n) = 0.
0, 1/4
Let h(n) be the third derivative of 0 - n**2 + 0*n + 0*n**3 - 1/60*n**5 + 1/24*n**4. Find o such that h(o) = 0.
0, 1
Let w = -237 + 484. Let q = -1725/7 + w. Suppose -6/7*t - q - 2/7*t**2 = 0. Calculate t.
-2, -1
Determine i so that -28/11 + 38/11*i - 8/11*i**2 - 2/11*i**3 = 0.
-7, 1, 2
Suppose 0 = 4*m - 3*r - 28, 5*m + 5*r = r + 4. Let 2*b**5 + b**2 + 5*b**3 + b**3 + 6*b**m + b**2 = 0. What is b?
-1, 0
Let g(c) = c**5 + c**3 + c**2 - c. Let x(u) = -6*u**5 - 6*u**4 - 3*u**3 + 3*u**2 + 6*u. Let n(k) = -3*g(k) - x(k). What is z in n(z) = 0?
-1, 0, 1
Let 16 + 17*n + 4*n + 21*n**2 - 17*n**2 - 5*n = 0. What is n?
-2
Let t(y) = y**2 + 3*y + 4. Suppose -3*j + 6 = -6. Let r(n) = -3*n**2 - 8*n - 11. Let i(p) = j*r(p) + 11*t(p). Factor i(c).
-c*(c - 1)
Let b = 73/36 - 7/9. Factor 1/4*r**5 - 3/4*r**3 + b*r**2 - 1/4*r**4 + 0 - 1/2*r.
r*(r - 1)**3*(r + 2)/4
Let b(k) be the first derivative of 0*k - 1/7*k**2 + 1/14*k**4 + 3 - 2/21*k**3 + 2/35*k**5. Suppose b(u) = 0. What is u?
-1, 0, 1
Let z(h) be the first derivative of -h**6/60 + h**5/30 + h**4/6 + h**2 + 1. Let o(f) be the second derivative of z(f). Solve o(p) = 0 for p.
-1, 0, 2
Let y(c) be the second derivative of c**6/5 - 9*c**5/20 - c**4/4 + 3*c**3/2 - 3*c**2/2 + 19*c. Determine o so that y(o) = 0.
-1, 1/2, 1
Let z(s) be the second derivative of 0*s**2 - 3*s**3 - 1/21*s**7 + 0 + 4*s**4 - 11/5*s**5 + 9*s + 8/15*s**6. Factor z(u).
-2*u*(u - 3)**2*(u - 1)**2
Let i(c) be the second derivative of c**6/720 + c**5/80 + c**4/24 + c**3 - 2*c. Let s(h) be the second derivative of i(h). Factor s(y).
(y + 1)*(y + 2)/2
Let z be -1 - 146/(-90) - 12/54. Factor -4/5*y**3 - z*y**4 + 0*y - 2/5*y**2 + 0.
-2*y**2*(y + 1)**2/5
Let r(p) = -p**3 + 3*p**2 + 5*p. Let s be r(4). Let w be (-1)/10 - 6/(-10). Factor 0 - 1/2*i**2 + 1/2*i**s + w*i**3 + 0*i - 1/2*i**5.
-i**2*(i - 1)**2*(i + 1)/2
Let h be -18*(-4 + 5)/(-4 + -1). Solve -52/5*r**2 + 8/5*r**3 - 26/5*r**5 + 4/5 + 48/5*r**4 + h*r = 0 for r.
-1, -2/13, 