5)*(r - 1)
Let w(r) be the second derivative of -16*r**2 - 24*r - 1/6*r**4 + 0 - 8/3*r**3. Suppose w(v) = 0. What is v?
-4
Let k(s) be the first derivative of -s**7/1470 - s**6/210 + s**2/2 - 7. Let h(g) be the second derivative of k(g). Solve h(z) = 0 for z.
-4, 0
Suppose 5*d + 2*q = 25, -5*d = -0*d + 3*q - 30. Let a = d - 1. Suppose -3*u**a - 9*u**5 + 4*u**3 + 3*u**4 + 8*u**3 - 3*u**5 = 0. What is u?
-1, 0, 1/4, 1
Suppose -35/2*y**3 + 5*y**2 - 25/2*y**5 + 0 + 0*y - 35*y**4 = 0. Calculate y.
-2, -1, 0, 1/5
Let q(y) = -8*y**3 + 14*y**2 + 30*y + 34. Let b(c) = 16*c**3 - 39*c**2 - 60*c - 67. Let g(m) = -2*b(m) - 5*q(m). Let g(d) = 0. What is d?
-3/2, 2
Let t = -5 - -13. Let p(n) = -13*n - 2*n**3 - t*n**3 + 11*n**2 - 6 + 6*n. Let l(c) = 21*c**3 - 23*c**2 + 15*c + 13. Let d(u) = -6*l(u) - 13*p(u). Factor d(y).
y*(y - 1)*(4*y - 1)
Let w(y) be the first derivative of -y**3 - 3/2*y**2 - 5 - y - 1/4*y**4. Let w(s) = 0. Calculate s.
-1
Let i = 739637/13 + -56895. Determine x so that 0 + 2/13*x**3 - i*x + 0*x**2 = 0.
-1, 0, 1
Let 22 + 2/3*c**2 - 28/3*c = 0. What is c?
3, 11
Let s(c) be the first derivative of c**6/2 - 72*c**5/5 - 39*c**4 - 2*c**3 + 153*c**2/2 + 78*c - 180. Factor s(h).
3*(h - 26)*(h - 1)*(h + 1)**3
Let b(u) be the first derivative of u**7/420 - u**6/60 + u**5/30 + 2*u**3/3 - 9. Let g(x) be the third derivative of b(x). Let g(s) = 0. Calculate s.
0, 1, 2
Factor -156*i**3 - 26*i**4 - 17498*i**2 + 8*i**4 + 17254*i**2 - 42 - 16*i**4 - 166*i + 2*i**5.
2*(i - 21)*(i + 1)**4
Let c(g) = 7*g**3 + 29*g**2 - 5. Let u(d) = -10*d**3 - 44*d**2 + 7. Let r(i) = 7*c(i) + 5*u(i). Factor r(y).
-y**2*(y + 17)
Let b(c) be the second derivative of 5*c**7/42 + 5*c**6/3 - 7*c**5/2 - 35*c**4/3 + 265*c**3/6 - 55*c**2 - 2*c + 120. Factor b(y).
5*(y - 1)**3*(y + 2)*(y + 11)
Let h be 1/(-2) + 25/2. Let p = 7 + h. Find v, given that -64*v**3 - 60*v - 36*v - 29*v**4 + 11*v**4 - 2*v**5 - p*v**2 - 32 - 93*v**2 = 0.
-2, -1
Let f(i) be the second derivative of -i**8/1344 - i**7/504 + i**6/72 - 11*i**4/12 - 18*i. Let t(z) be the third derivative of f(z). Let t(n) = 0. Calculate n.
-2, 0, 1
Determine m, given that -32/11 - 2/11*m**2 + 20/11*m = 0.
2, 8
Let u(n) be the first derivative of 0*n + 0*n**2 + 2/9*n**3 + 7 + 1/4*n**4 + 1/15*n**5. Factor u(x).
x**2*(x + 1)*(x + 2)/3
Suppose 2*u - 5*u + 9 = 2*b, -6 = 4*b - 2*u. Let o(l) be the second derivative of 1/10*l**5 - 2*l + b*l**2 + 1/6*l**4 + 0 + 0*l**3. Factor o(f).
2*f**2*(f + 1)
Let h(v) be the third derivative of -1/84*v**7 + 1/24*v**5 - 1/24*v**4 + 0*v - 3*v**2 + 0*v**3 + 0 + 1/120*v**6. Suppose h(k) = 0. What is k?
-1, 0, 2/5, 1
Let q(l) be the first derivative of -2*l**5/5 - l**4 + 2*l**3 + 8*l**2 + 8*l + 73. Factor q(h).
-2*(h - 2)*(h + 1)**2*(h + 2)
Let k(m) = m**3 - 3. Let t(r) = r**4 - 45*r**3 + 114*r**2 - 112*r + 52. Let u(j) = 5*k(j) + t(j). Factor u(i).
(i - 37)*(i - 1)**3
Let a(q) be the second derivative of 0*q**2 + 5/6*q**6 + 5/6*q**3 + 2*q - 5/21*q**7 + 0 - 5/12*q**4 - 3/4*q**5. Factor a(c).
-5*c*(c - 1)**3*(2*c + 1)
Let g(i) = 64*i**2 + 130*i - 114. Let c(h) = -19*h**2 - 43*h + 38. Let w(l) = -10*c(l) - 3*g(l). Factor w(r).
-2*(r - 19)*(r - 1)
Let l(d) be the third derivative of -d**5/15 - 11*d**4/6 + 9*d**2 - 3*d. Factor l(c).
-4*c*(c + 11)
Factor 39 - 79 - 2*f**3 - 40*f + 40 - 18*f**2.
-2*f*(f + 4)*(f + 5)
Let w be -1*(-156 - -3 - 4)*1. Factor 87*b + 32 + 12*b**4 + 80*b**3 + w*b**2 + 33*b - 27*b**2 + 26*b**2.
4*(b + 1)**2*(b + 4)*(3*b + 2)
Let t(u) be the first derivative of u**6/5 + 3*u**5/4 + u**4/2 + u + 2. Let p(b) be the first derivative of t(b). Determine n so that p(n) = 0.
-2, -1/2, 0
Suppose 1469*c + 4*j = 1471*c + 24, -6 = -j. Factor c - 8/7*w - 18/7*w**3 - 40/7*w**2.
-2*w*(w + 2)*(9*w + 2)/7
Suppose -2*o**2 - 2/7*o**3 + 0 - 12/7*o = 0. Calculate o.
-6, -1, 0
Let l(z) be the first derivative of 2*z**3/5 - 31*z**2/5 - 44*z/5 + 42. Factor l(d).
2*(d - 11)*(3*d + 2)/5
Let n be 12/(-10)*250/(-4). Let j = n - 373/5. Let j + 3/5*m + 1/5*m**2 = 0. What is m?
-2, -1
Let r(f) = -7*f**2 - 81*f + 88. Let d(n) = n**2 - 1. Let p(m) = 4*d(m) + r(m). Factor p(z).
-3*(z - 1)*(z + 28)
Let d be (3 - (4 - -2))*(-25)/15. Let n(i) be the first derivative of 3/2*i**3 - i - d + 7/4*i**2. Determine u so that n(u) = 0.
-1, 2/9
Factor -6*c + 10*c**2 + 1/2*c**5 + 0 - c**4 - 7/2*c**3.
c*(c - 2)**2*(c - 1)*(c + 3)/2
Let k = 418 + -418. Let z(j) be the second derivative of -1/105*j**6 + k - 1/7*j**4 + 3*j + 1/14*j**5 - 4/21*j**3 + 8/7*j**2. Let z(t) = 0. What is t?
-1, 2
Suppose -10*f = -14*f + 448. Let d = f + -110. Factor 4/3*w + 0 + 2/3*w**d.
2*w*(w + 2)/3
Suppose 1 = -37*w + 16 - 15. What is y in w*y + 27/4*y**3 + 15/4*y**2 + 9/4*y**4 - 3/4*y**5 + 0 = 0?
-1, 0, 5
Factor 60/7*c**2 + 4/7 - 36/7*c + 100/7*c**3.
4*(c + 1)*(5*c - 1)**2/7
Let b(m) be the first derivative of -41*m**5 - 5*m**4/2 + 68. Factor b(l).
-5*l**3*(41*l + 2)
Let y(m) be the second derivative of -m**6/48 - m**5/12 + 5*m**4/16 + 3*m**2 - 6*m. Let b(u) be the first derivative of y(u). Solve b(w) = 0.
-3, 0, 1
Let l(w) be the second derivative of 1/5*w**5 + 0*w**2 - 1/30*w**6 + 0 - 1/3*w**4 + 14*w + 0*w**3. Let l(r) = 0. What is r?
0, 2
Let y(i) be the first derivative of -i**4/24 - i**3/2 - 70. Factor y(m).
-m**2*(m + 9)/6
Let i(g) be the third derivative of g**8/672 - g**7/84 + g**6/120 + g**5/15 - 33*g**2 + 3. Find m such that i(m) = 0.
-1, 0, 2, 4
Let t(k) be the third derivative of k**5/210 - 11*k**4/28 + 32*k**3/21 + 361*k**2. Determine n so that t(n) = 0.
1, 32
Factor -17/2*h**2 - 44*h - 1/2*h**3 - 72.
-(h + 4)**2*(h + 9)/2
Let q = -52 + 54. Determine v, given that 2*v**2 - 2*v**2 + 2*v**q - 8*v - 2*v = 0.
0, 5
Let r(h) be the second derivative of 11*h + 1/2*h**3 + 0*h**2 + 0 + 5/12*h**4 - 2/5*h**5. Factor r(u).
-u*(u - 1)*(8*u + 3)
Let s(x) be the first derivative of x**5/4 - x**4/8 - x**3/4 - 4. Determine t, given that s(t) = 0.
-3/5, 0, 1
Suppose -5*a = -z + 3, 18*z = -5*a + 20*z - 6. Let t(j) be the first derivative of 1/3*j**6 + 2/5*j**5 + 0*j**4 + 0*j + 4 + a*j**2 + 0*j**3. Solve t(h) = 0.
-1, 0
Let r(g) be the third derivative of 0 - 3/32*g**6 + 0*g - 9/80*g**5 + 0*g**4 + 27*g**2 - 1/40*g**7 + 0*g**3 - 1/448*g**8. Find b such that r(b) = 0.
-3, -1, 0
Let c(g) be the second derivative of -g**4/20 - 21*g**3/5 + g - 9. Factor c(h).
-3*h*(h + 42)/5
Let z(s) = 8*s**2 + 28*s + 92. Let u be (8/20)/(2/30). Let i(f) = -9*f**2 - 28*f - 91. Let v(r) = u*i(r) + 7*z(r). Factor v(j).
2*(j + 7)**2
Let r(n) be the second derivative of -n**4/54 - 59*n**3/27 - 38*n**2/3 + 25*n + 3. Factor r(b).
-2*(b + 2)*(b + 57)/9
Let u = 17 + -12. Let v(j) be the third derivative of 0*j + 4*j**2 + 0 - 1/90*j**u - 1/45*j**6 + 0*j**3 + 1/54*j**4 - 1/135*j**7. Let v(x) = 0. What is x?
-1, 0, 2/7
Let j(w) be the second derivative of 0*w**2 - 8*w - 2/15*w**3 + 1/18*w**4 - 3 - 1/150*w**5. Factor j(h).
-2*h*(h - 3)*(h - 2)/15
Let q(b) = -7*b + 1. Let x be q(1). Let v = x - -19/3. Factor -1/2*h**2 + v - 1/2*h + 1/3*h**3.
(h - 2)*(h + 1)*(2*h - 1)/6
Suppose -3*c = -42*q + 45*q - 21, -2*q + 2 = -4*c. Let p(h) be the first derivative of -1/4*h**c - 1/18*h**3 - 4 + 1/8*h**4 + 1/6*h. Let p(g) = 0. Calculate g.
-1, 1/3, 1
Suppose 0*r + 4*f = -2*r - 10, -f - 1 = r. Factor -12*h**2 + 16*h**r + 0*h**2 + 4*h - 4*h**2.
4*h*(2*h - 1)**2
Let r be 6/27 + 0 + (-1886)/(-180). Let i = r - 21/2. Factor i*p**2 + 4/5*p + 4/5.
(p + 2)**2/5
Let o(c) be the second derivative of c**7/3360 - c**6/320 - 2*c**4 + 19*c. Let q(x) be the third derivative of o(x). Factor q(b).
3*b*(b - 3)/4
Suppose -6*t = 3*t - 72. Determine r, given that -4 + r - 7*r**2 + t*r**2 + r + r = 0.
-4, 1
Let b(k) = k**3 + 9*k**2 - 10*k + 3. Let d be b(-10). Let u = 5 - d. Let 4 + 11*r + r**u - 5*r - 2*r = 0. Calculate r.
-2
Let r be 15*(564/(-288) - -2). Solve -1/8*k**3 - k + 1/2 + r*k**2 = 0 for k.
1, 2
Let t(b) be the third derivative of -8*b**2 + 0*b**4 + 1 + 1/210*b**5 + 0*b - 3/7*b**3. Let t(i) = 0. Calculate i.
-3, 3
Let x(a) be the first derivative of 2*a**3 - a**3 + 16*a - 2 + 3*a**2 - 13*a. Let x(s) = 0. What is s?
-1
Let m(j) = -2*j**2 + 52*j + 12. Let t be m(26). Let p(v) be the first derivative of -4/5*v**5 + 4*v**4 + t*v - 8*v**2 - 8/3*v**3 - 8. Find f such that p(f) = 0.
-1, 1, 3
Find t such that 2*t**3 - 11*t + 22*