 first derivative of -4/7*m**3 - 32 + 0*m**2 + 2/21*m**6 + 12/35*m**5 - 1/7*m**4 + 0*m. Determine v, given that n(v) = 0.
-3, -1, 0, 1
Let v(t) be the first derivative of 8/85*t**5 + 0*t - 9 + 1/51*t**6 + 4/51*t**3 + 5/34*t**4 + 0*t**2. Factor v(y).
2*y**2*(y + 1)**2*(y + 2)/17
Factor 3 + s**2 + 2 + s + 5*s + 3.
(s + 2)*(s + 4)
Let n(r) = 35*r + 236. Let x(s) = -24*s - 157. Let p(w) = 5*n(w) + 7*x(w). Let a be p(-11). Factor -u**3 + 1/5*u**a - 3/5*u + 7/5*u**2 + 0.
u*(u - 3)*(u - 1)**2/5
Let j(x) = -x**2 + 8*x + 10. Let t be j(9). Suppose 0 = u + t, 2*u = 5*q - 0*u - 22. Factor -2*n**4 - 4 + 0*n**2 - 2*n + q*n**2 - 2*n**5 + 2 + 4*n**3.
-2*(n - 1)**2*(n + 1)**3
Solve 0 + 0*t**2 - 2/3*t**3 + 0*t - 1/3*t**4 = 0.
-2, 0
Let u(b) be the first derivative of -12/5*b - 7 - 1/5*b**3 - 6/5*b**2. Factor u(l).
-3*(l + 2)**2/5
Let q(b) be the third derivative of b**5/540 + b**4/27 + 8*b**3/27 - 39*b**2 + 2. Factor q(l).
(l + 4)**2/9
Solve -94 - 96 + 273 - 80*k - 87 - 400*k**2 = 0.
-1/10
Let j = -1687/2 + 5069/6. Factor j + 2*a + 2/3*a**2.
2*(a + 1)*(a + 2)/3
Let i(o) = 7*o**4 + 9*o**3 + 7*o**2 - 9*o - 8. Let c(v) = -v**4 + v**3 - v**2 - v. Let x(p) = 3*c(p) + i(p). Suppose x(f) = 0. Calculate f.
-2, -1, 1
Let o(z) = -3*z**4 - 23*z**3 - 20*z**2 - z + 1. Let k(g) = -g**4 - g**3 + g - 1. Let q(d) = -k(d) - o(d). Factor q(m).
4*m**2*(m + 1)*(m + 5)
Let v be (174/9 - 18)*(-27)/(-7). Factor 24/7*s + 4/7*s**2 + v.
4*(s + 3)**2/7
Let v(u) = 2*u**2 + 46*u + 56. Let i(g) = g**2 - g + 1. Let z(x) = -4*i(x) + v(x). Let z(w) = 0. What is w?
-1, 26
Suppose 0 = 21*p - 80 - 25. Let v be (p/(-6))/(3/(-6)). Suppose 5/3*g + 1/3 - v*g**3 + g**2 - 4/3*g**4 = 0. Calculate g.
-1, -1/4, 1
Let v(a) = -2*a**2 + 99*a - 144. Let b be v(48). Solve b - 2/11*i**2 + 0*i + 2/11*i**3 = 0 for i.
0, 1
Let g be 9/144*-12*-4. Suppose 8/5*t**g + 0*t - 4/5*t**4 + 0 + 16/5*t**2 - 2/5*t**5 = 0. Calculate t.
-2, 0, 2
Factor 4*j**2 - 2765 + 6037 + 1241 + 1804 + 4087 + 408*j.
4*(j + 51)**2
Let i(n) be the third derivative of -4*n**7/315 + n**5/60 - n**4/12 + 7*n**2. Let t(s) be the second derivative of i(s). Factor t(q).
-2*(4*q - 1)*(4*q + 1)
Let w = -1383 + 9682/7. Let x(g) be the first derivative of 0*g**2 + 2 + 8/21*g**3 + 0*g + w*g**4. Suppose x(k) = 0. Calculate k.
-2, 0
Let k(i) be the second derivative of i**7/14 + 4*i**6/25 + 3*i**5/100 - i**4/10 + 412*i. Let k(q) = 0. Calculate q.
-1, 0, 2/5
Let x be (6/7)/(20/70). Find u such that 1/2*u**2 + 3/2 + 1/2*u**x - 5/2*u = 0.
-3, 1
Let t(l) be the second derivative of 5*l**7/42 + 2*l**6/3 - 3*l**5/2 - 5*l**4/3 + 25*l**3/6 - 95*l. Find p, given that t(p) = 0.
-5, -1, 0, 1
Let b(m) = -3*m - 83. Let y be b(-29). Suppose 0 = -y*x - p + 14, -p + 2 = 2*x - 3*p. Factor 0*a - 1/4*a**x + 0 + 1/2*a**2.
-a**2*(a - 2)/4
Suppose 11 = 13*q - 28. Let s(m) be the second derivative of -1/189*m**7 + 4*m + 0 + 1/27*m**q + 2/135*m**6 + 0*m**5 - 1/27*m**4 + 0*m**2. Factor s(r).
-2*r*(r - 1)**3*(r + 1)/9
Suppose 127*a + 2*a = 258. Let n(q) be the first derivative of -1/7*q + 0*q**a - 13 + 1/21*q**3. Factor n(s).
(s - 1)*(s + 1)/7
Suppose -42 = -j + 13. Let y = j - -126. Factor -y + 181 - b**3 + b**2.
-b**2*(b - 1)
Let n(j) = 225*j**2 - 160*j - 20. Let k(w) = 32*w**2 - 23*w - 3. Let s = 61 - 63. Let g(m) = s*n(m) + 15*k(m). Find f such that g(f) = 0.
-1/6, 1
Let c be 15 + (-18 - -9) + (-4)/(8/6). Factor 2/3*x**c + x**4 - 1/3 + 1/3*x**5 - 2/3*x**2 - x.
(x - 1)*(x + 1)**4/3
Let t = -10995 + 11000. Suppose 0*m**2 - 10/3*m**4 + 0*m - 5/3*m**3 + 0 - 5/3*m**t = 0. Calculate m.
-1, 0
Factor 7/5*p**2 - 2*p - 16/5 + 1/5*p**3.
(p - 2)*(p + 1)*(p + 8)/5
Factor 11/4*s**3 - 3/4*s**2 + 1/4*s**4 - 11/2 - 35/4*s.
(s - 2)*(s + 1)**2*(s + 11)/4
Let j(t) be the first derivative of 1/2*t**4 + 11 - 4/5*t + 9/5*t**2 - 8/5*t**3. Suppose j(r) = 0. Calculate r.
2/5, 1
What is y in 7/5 - 6/5*y - 1/5*y**2 = 0?
-7, 1
Let d = 305 - 300. Let o(m) be the second derivative of 0 + 1/96*m**4 - 1/160*m**5 + 1/24*m**3 + 0*m**2 + d*m. Factor o(p).
-p*(p - 2)*(p + 1)/8
Find c, given that 6*c**3 - 14*c**2 + 280*c - c**3 + 400 + 70*c**2 + 9*c**2 = 0.
-5, -4
Factor 465*b**2 - 5*b**3 - 565*b**2 + 0*b**3.
-5*b**2*(b + 20)
Let u(w) be the third derivative of -1/20*w**4 - 4*w**2 - 2*w + 1/150*w**5 + 0 - 2/3*w**3. Suppose u(c) = 0. What is c?
-2, 5
Factor -12845*l - 640 + 11877*l - 492*l**2 - l**4 - 43*l**3 - 43*l**3.
-(l + 2)**3*(l + 80)
Let a = 2147/4 + -19315/36. Solve -2/9*s + a*s**2 + 0 + 2/9*s**3 - 2/9*s**4 = 0 for s.
-1, 0, 1
Let i(j) be the second derivative of -1/18*j**4 + 0 + 1/9*j**3 - 1/30*j**5 - 6*j + 1/3*j**2. Solve i(q) = 0.
-1, 1
Let v(m) = m**3 + 14*m**2 + 12*m - 11. Let d be v(-13). Find k, given that 2*k**d - 10 + 13 - 6*k - 11 = 0.
-1, 4
Let w(y) be the first derivative of y**4/22 + 2*y**3/3 - y**2/11 - 2*y - 97. Suppose w(h) = 0. What is h?
-11, -1, 1
Let j(z) be the first derivative of 3*z**4/4 + 7*z**3 + 21*z**2 + 24*z - 17. Let j(w) = 0. Calculate w.
-4, -2, -1
Let q = 957/74 - -21/37. What is m in 9*m**2 + 4 + 27/2*m**3 - q*m**4 - 14*m = 0?
-1, 2/3
Let y(h) = -h - 7. Let n be y(-10). Let b = 23 - 6. What is r in 20*r**3 + 4 - 3*r - 4 - b*r**n = 0?
-1, 0, 1
Determine d so that -2/13*d**2 - 2/13*d**3 - 16/13 + 20/13*d = 0.
-4, 1, 2
Let y(d) be the first derivative of -d**6/27 - 4*d**5/15 - 2*d**4/3 - 20*d**3/27 - d**2/3 - 194. Determine m so that y(m) = 0.
-3, -1, 0
Let h(p) = -2*p**2 + p + 1. Let u be h(1). Suppose s - 3*x = -u*s, -4*x = 2*s. Factor -3/2*r**3 + r**2 + 1/2*r + s.
-r*(r - 1)*(3*r + 1)/2
Let f = -2213 - -15590/7. Let u = -14 + f. Factor 0*k - u*k**3 - 1/7*k**5 + 0*k**2 - 2/7*k**4 + 0.
-k**3*(k + 1)**2/7
Let f(b) be the first derivative of -3*b**4/16 + 4*b**3/3 - 15*b**2/8 - 9*b/2 + 110. Factor f(o).
-(o - 3)**2*(3*o + 2)/4
Suppose 156*x - 18 = 147*x. Factor -1/2*n + 0 + 1/2*n**x.
n*(n - 1)/2
Let a be 20/(-18)*39/26*-12. Let s be a/(-70)*9/(-1*3). Factor 9/7*i + s*i**2 - 9/7*i**3 - 6/7.
-3*(i - 1)*(i + 1)*(3*i - 2)/7
Determine z so that -30*z - 28*z + 344*z**3 + 72*z**2 - 70*z - 4*z**4 - 284*z**3 = 0.
-2, 0, 1, 16
Let g(u) be the second derivative of -27*u + 1/5*u**2 + 1/15*u**4 + 0 + 1/5*u**3. Factor g(m).
2*(m + 1)*(2*m + 1)/5
Let k(g) be the first derivative of -3*g**6 - 69*g**5/5 + 69*g**4/2 + 53*g**3 - 15*g**2 + 470. Solve k(t) = 0 for t.
-5, -1, 0, 1/6, 2
Suppose -x + 5*x - 3*m + 15 = 0, -3*x - 2*m = -10. Factor 1 + 0 + x*c**2 + 3 - 4*c**2.
-4*(c - 1)*(c + 1)
Let p(z) = 70*z**3 + 475*z**2. Let l be -44*(0 - 30/(-24)). Let r(j) = -5*j**3 - 34*j**2. Let a(m) = l*r(m) - 4*p(m). Factor a(q).
-5*q**2*(q + 6)
Let a(r) be the first derivative of 5*r**3/3 + 15*r**2 + 25*r + 18. Factor a(f).
5*(f + 1)*(f + 5)
Let m = 332 + -332. Let d(p) be the second derivative of -1/7*p**2 + m*p**4 + 4*p - 2/21*p**3 + 1/35*p**5 + 0 + 1/105*p**6. Suppose d(q) = 0. What is q?
-1, 1
Let a be 6/(-18)*(-1 - 11). Suppose t + 2*d = 4*t - 12, t + 10 = -a*d. Factor -4*w**4 - t*w + 4*w**2 - 13 + 2*w**5 + 13.
2*w*(w - 1)**3*(w + 1)
Factor 87/2*k**5 + 81/2*k**3 + 171/2*k**4 - 3/2*k**2 + 0*k + 0.
3*k**2*(k + 1)**2*(29*k - 1)/2
Let h(g) = -2*g**2 + 9*g**2 - 6*g + 2*g. Let d be h(-3). Let d*w**2 - 5 - 1 - 22*w - 6 - 27*w**3 - 14*w = 0. What is w?
-2/9, 1, 2
Let w be (18/15)/((-2)/(-5)). Let a(l) = -2 + l**w + 5*l**3 + 6 - 2*l**2. Let q(o) = 5*o**3 - 3*o**2 + o + 3. Let y(z) = -3*a(z) + 4*q(z). Factor y(v).
2*v*(v - 2)*(v - 1)
Let y(f) = -19*f + 554. Let m be y(29). Let z(j) be the first derivative of -2*j**2 - 8 + 3*j + 1/3*j**m. Factor z(b).
(b - 3)*(b - 1)
Let w(h) = -2*h**2 - 8*h + 6. Let f(b) = 8*b**2 + 25*b - 19. Let q(y) = 4*f(y) + 14*w(y). Factor q(t).
4*(t - 2)*(t - 1)
Let y(x) be the first derivative of 16*x - x**4 + 20 + 14*x**2 + 8/3*x**3. Determine u so that y(u) = 0.
-1, 4
Solve -14*z**2 - 1/4*z**5 - 4 - 12*z - 8*z**3 - 9/4*z**4 = 0 for z.
-2, -1
Let w(q) be the third derivative of q**7/525 + q**6/100 - q**5/150 - q**4/20 - 28*q**2. Solve w(c) = 0 for c.
-3, -1, 0, 1
Determine j, given that 3*j**2 + 48 + 46*j - 30*j + 35*j = 0.
-16, -1
Let v(k) be the first derivative of -k**5 - 5*k**4/4 + 10*k**3 + 10*k**2 - 40*k + 49. Let v(c) = 0. What is c?
-2, 1, 2
Let z(v) = 2*v**4 + 4*v**4 - 7*v**4 + v**3 - v**2. Let p(s) = -3*s**5 + 12*s**4 - 15*s**3 + 24*s**2. Let c(h) = p(h) + 18*z(h). Find r, given 