he first derivative of 11*m**6/3 - 136*m**5/5 + 155*m**4/2 - 316*m**3/3 + 68*m**2 - 16*m - 50. Suppose d(v) = 0. Calculate v.
2/11, 1, 2
Let x(o) be the third derivative of -o**7/105 + o**6/10 - 4*o**5/15 - o**4/2 + 3*o**3 - 581*o**2. Solve x(f) = 0 for f.
-1, 1, 3
Let m be ((-3)/(-2))/((12/8)/(-3)). Let d be ((-4)/m)/4 + (3 - 2). What is w in -2/3*w**3 + d*w - 4/3 + w**2 - 1/3*w**4 = 0?
-2, 1
Suppose -f + 2*x - 14 = -6*f, -4*f + 2*x = -4. Let p(y) be the first derivative of 2*y**4 - 6 - 2/5*y**5 - 12*y**f - 18*y + 4/3*y**3. Find s such that p(s) = 0.
-1, 3
Suppose 5*k - c = 11, c - 3 = k - 6. Factor 1/4*v**k - 1/4*v - 1/4 + 1/4*v**3.
(v - 1)*(v + 1)**2/4
Let c(j) be the second derivative of -125*j**7/42 + 20*j**6/3 - 3*j**5/2 - 10*j**4/3 - 5*j**3/6 + 2*j + 123. Factor c(i).
-5*i*(i - 1)**2*(5*i + 1)**2
Factor -1/3*n**2 - 23 + 70/3*n.
-(n - 69)*(n - 1)/3
Suppose 91 + 114 = 5*j. Let m = -81/2 + j. Factor -m - 1/8*u**2 - 5/8*u.
-(u + 1)*(u + 4)/8
Let s(a) be the first derivative of 3*a**4/14 - 4*a**3/3 + 8*a**2/7 - 16. Factor s(h).
2*h*(h - 4)*(3*h - 2)/7
Let w = 3589/12 - 299. Let r(b) be the third derivative of 1/2*b**3 + 1/180*b**5 - 12*b**2 - w*b**4 + 0 + 0*b. Factor r(h).
(h - 3)**2/3
Let d(i) be the first derivative of 1/30*i**5 + 0*i + 5/18*i**3 - 1/6*i**2 - 1/6*i**4 + 21. Find j such that d(j) = 0.
0, 1, 2
Factor 3*g**2 - 5/3*g**3 + 1/3*g**4 + 2/3 - 7/3*g.
(g - 2)*(g - 1)**3/3
Let o(w) be the first derivative of w**6/32 - w**5/10 + w**4/32 + w**3/4 - 3*w**2/2 + 19. Let m(x) be the second derivative of o(x). Factor m(v).
3*(v - 1)**2*(5*v + 2)/4
Suppose 5*f - 1358 + 1330 = -3*j, -j = 4*f - 14. Suppose 63/8*t**f + 441/8*t + 1029/8 + 3/8*t**3 = 0. What is t?
-7
Let c(i) be the first derivative of 5*i**3/3 - 95*i**2 - 195*i + 11. Find z, given that c(z) = 0.
-1, 39
Suppose -22*v + 34*v**2 - 77*v**2 + 40*v**2 - 30 + v = 0. Calculate v.
-5, -2
Let m be ((-18)/(-12))/((-1)/(-100)*-3). Let z be 8/(-64)*-20*(-136)/m. Factor z*u**2 + 6/5 + 8/5*u**3 + 32/5*u.
2*(u + 1)*(u + 3)*(4*u + 1)/5
Let g(k) be the third derivative of -k**7/7560 - k**6/2160 - k**4/3 + 6*k**2. Let n(z) be the second derivative of g(z). Let n(o) = 0. What is o?
-1, 0
Suppose -c - 10 = 5. Let x(s) = 3*s + 47. Let m be x(c). What is q in 0*q - 3/2*q**m - 3/2*q**4 + 0 - 3*q**3 = 0?
-1, 0
Determine m so that 35*m**3 - 360 + 42*m**2 - 140*m - 43*m**2 - 5*m**4 + 111*m**2 = 0.
-2, 2, 9
Let o(h) be the first derivative of -h**4/3 + 2*h**3/3 + 4*h**2 - 10*h + 7. Let p(w) be the first derivative of o(w). Determine n, given that p(n) = 0.
-1, 2
Suppose 4*j = -0 + 20. Suppose -g = j - 10. Factor -g*u**2 + 7*u**2 - 2 - 2*u - u**3 + 3*u**3.
2*(u - 1)*(u + 1)**2
Factor -48*h**3 - 337*h**5 + 345*h**5 - 40*h**2 + 164*h + 12 - 156*h - 4*h**4.
4*(h - 3)*(h + 1)**3*(2*h - 1)
Let u(k) be the third derivative of k**6/420 + k**5/35 - 4*k**4/21 - 120*k**2. Find d such that u(d) = 0.
-8, 0, 2
Let p = 4668/53 - 88. Let v = p + 41/159. Determine x, given that -3*x**2 - 9 - v*x**3 - 9*x = 0.
-3
Let u(c) be the first derivative of c**2 + 1/156*c**4 - 1/780*c**6 + 0*c**5 + 0*c**3 - 1 + 0*c. Let w(k) be the second derivative of u(k). Factor w(t).
-2*t*(t - 1)*(t + 1)/13
Let o be (-3 - (-18)/1) + -3. Factor 5 - o*h - 5*h**2 - 5*h**2 + 10*h**3 + 2*h + 5*h**2.
5*(h - 1)*(h + 1)*(2*h - 1)
Let o(f) = 3*f - 78. Let l be o(0). Let m be 4/18 - (-2)/((-756)/l). Determine s so that -3/7*s + 0 - m*s**2 = 0.
-1, 0
Suppose 72*z = 239 - 23. Solve -1/2*k**4 - 5/2*k**2 + 6*k**z - 2*k**5 + 0 - k = 0 for k.
-2, -1/4, 0, 1
Let p(g) = 5*g**3 - 22*g**2 + 35*g - 22. Let f(m) = m**2 - m - 2. Let i(k) = -2*f(k) + p(k). Factor i(a).
(a - 2)*(a - 1)*(5*a - 9)
Let b(a) be the third derivative of -a**6/24 + a**5/12 + 5*a**4/2 + 5*a**2 + 7. Factor b(j).
-5*j*(j - 4)*(j + 3)
Determine z, given that 8/7*z**2 - 8/7 + 30/7*z = 0.
-4, 1/4
Let a(x) be the first derivative of 11 + 0*x + 3/5*x**5 + 0*x**2 - 3/4*x**4 + 1/2*x**6 - x**3. Factor a(b).
3*b**2*(b - 1)*(b + 1)**2
Let y(q) be the second derivative of -100*q**7 + 652/3*q**6 + 0 - 5647/30*q**5 - 20*q**3 + 8/3*q**2 + 83*q**4 - 31*q. What is r in y(r) = 0?
2/15, 2/7, 1/2
Factor -51/8*q**2 + 27/8*q + 3/8*q**4 + 21/8*q**3 + 0.
3*q*(q - 1)**2*(q + 9)/8
Let y(o) be the second derivative of -o**7/6300 + o**5/300 + o**4/2 + 10*o. Let x(q) be the third derivative of y(q). Find t such that x(t) = 0.
-1, 1
Suppose -5*w + 2 = -3. Let y(l) = 3*l**3 - l**2 + l. Let t be y(w). Determine b, given that 9*b**4 + b**2 + 7*b**3 + 2*b**2 + t*b**5 + 2*b**3 = 0.
-1, 0
Let u(b) be the third derivative of 5*b**8/84 - b**7/6 - b**6/12 + 2*b**5/3 - 5*b**4/12 - 5*b**3/6 + 306*b**2. Suppose u(n) = 0. Calculate n.
-1, -1/4, 1
Let d(o) be the second derivative of 243*o**6/55 + 1404*o**5/55 + 1759*o**4/66 - 28*o**3/3 + 12*o**2/11 + 121*o. Suppose d(t) = 0. What is t?
-3, -1, 2/27
Suppose -8/17*f - 2/17*f**2 + 0 = 0. What is f?
-4, 0
Let g(o) be the second derivative of -9/10*o**5 - 2/5*o**6 + 0*o**2 + 0 - 1/14*o**7 - 8*o - o**4 - 1/2*o**3. Let g(x) = 0. What is x?
-1, 0
Let u(y) = -y**2 + 5*y + 27. Let x be u(8). Factor -b**5 + 0*b**3 + 4*b**2 + 0*b**2 - b**4 - b**x + 5*b**3.
-b**2*(b - 2)*(b + 1)*(b + 2)
Let c(o) be the first derivative of 0*o + 10 + 1/7*o**4 - 22/21*o**3 - 2/7*o**2 + 22/35*o**5. Solve c(r) = 0.
-1, -2/11, 0, 1
Let y(p) = p**3 - 7*p**2 + 7*p + 4. Let v be y(6). Factor 3*w**2 - 10*w**3 + w**4 - 4*w**3 + v*w**3.
w**2*(w - 3)*(w - 1)
Suppose 0 = 5*x + x - 48. Let l be 20/9*x/((-16)/(-3)). Determine s so that -4/3 + 16/3*s**2 + 2*s - 44/3*s**3 - l*s**5 + 12*s**4 = 0.
-2/5, 1
Let f be ((-2)/(-3))/(2/12). Let u be (f - 2) + (-4)/3. Let 2*k - u*k**5 + 0 - 8/3*k**4 + 8/3*k**2 - 4/3*k**3 = 0. What is k?
-3, -1, 0, 1
Let v(c) be the first derivative of 3*c**4/28 + 6*c**3/7 + 12*c**2/7 + 167. Find f, given that v(f) = 0.
-4, -2, 0
Let i = 71 - 69. Suppose 5*j**2 - 4*j**4 + 7*j**4 - 6*j**3 - 3*j**2 + j**i = 0. Calculate j.
0, 1
Let k(d) = d**3 + d**2 + 1. Let f(i) = -10*i**4 + 23*i**3 + 15*i**2 - 14*i + 13. Let v(w) = 2*f(w) - 18*k(w). Suppose v(g) = 0. Calculate g.
-1, 2/5, 1
Suppose 2 = 4*a - 3*a. Determine o, given that 2*o**4 + 2*o**3 - 2*o - 11 + 15 + 3*o**2 - 5*o**2 - 4*o**a = 0.
-2, -1, 1
Solve 2*i**3 - 2/7*i**5 + 0*i**4 - 24/7*i - 16/7 + 4/7*i**2 = 0 for i.
-2, -1, 2
Let n(l) = -3*l**2 - 3*l - 1. Let u(k) = -12*k**2 + 111*k - 3. Let i(r) = 3*n(r) - u(r). Solve i(v) = 0.
0, 40
Let l(y) = -736*y - 2206. Let b be l(-3). Factor 1/4*j**b + 1/4*j**3 - 1/4 - 1/4*j.
(j - 1)*(j + 1)**2/4
Let p(d) = -d - 3. Let c(i) = i**2 + 3*i - 56. Let y(u) = c(u) - 4*p(u). Solve y(o) = 0 for o.
-11, 4
Let k(u) be the first derivative of 3/8*u**4 - 1/2*u**5 + 0*u + 17 + 1/6*u**3 - 1/4*u**2 + 1/6*u**6. Factor k(h).
h*(h - 1)**3*(2*h + 1)/2
Factor 0 - 2/5*k**2 + 2*k.
-2*k*(k - 5)/5
Suppose -127 = 2*w - 5*o, 2*o - 278 = w + 3*w. Let n = 73 + w. Determine k so that 0*k**n + 2/3*k**4 + 0 + 0*k + 2/3*k**3 = 0.
-1, 0
Let b = 1757/2 - 907. Let k = -28 - b. What is p in -1/4*p - k + 1/4*p**2 = 0?
-1, 2
Let a = 41 + -37. Suppose -370*c + 364*c = -12. Let b**5 - 1/2 - b**3 + 0*b - 3/2*b**a + 2*b**c = 0. What is b?
-1, -1/2, 1
Let l(n) be the third derivative of n**6/840 + n**5/60 - 6*n**3/7 - 138*n**2. What is i in l(i) = 0?
-6, -3, 2
Let v be 132/(-28) + 10/((-22)/(-11)). What is s in 0 - v*s**2 - 2/7*s = 0?
-1, 0
Suppose 0 = 5*c - 2 - 13. Factor -10*w**2 + 0*w**2 + 5*w**2 + 2 + c*w**2.
-2*(w - 1)*(w + 1)
Let b(c) be the first derivative of 5*c**4/4 - 100*c**3/3 - 5*c**2/2 + 100*c - 1. Factor b(z).
5*(z - 20)*(z - 1)*(z + 1)
Suppose 2/11*d**3 - 172/11*d**2 + 3864/11*d - 7056/11 = 0. What is d?
2, 42
Let l(m) be the first derivative of -1/7*m**3 + 0*m**2 - 1 + 0*m. Factor l(a).
-3*a**2/7
Suppose -2*y = -4*d, d = 5*y - 0 - 9. Factor -22*o**3 - 3*o - 20*o**3 - 2*o + 10*o**y + 37*o**3.
-5*o*(o - 1)**2
Let s be -1 - 2 - ((9 - 1) + -13). Let n(b) be the second derivative of 0*b**s + 1/20*b**5 - 6*b + 0 - 1/24*b**4 + 0*b**3 - 1/60*b**6. Factor n(l).
-l**2*(l - 1)**2/2
Suppose 0 = 4*i - v - 3*v + 3844, -5*v + 2887 = -3*i. Let g = i + 8645/9. Factor -2/3 - g*o - 2/9*o**3 - 10/9*o**2.
-2*(o + 1)**2*(o + 3)/9
Let r(i) = 31*i**4 + 80*i**3 + 42*i**2 - 131*i - 11. Let c(a) = 6*a**4 + 16*a**3 + 8*a**2 - 26*a - 2. Let d(l) = 11*c(l) - 2*r(l). Factor