 the first derivative of o**6/360 + o**5/30 + 7*o**3 - 1. Let w(m) be the third derivative of l(m). Factor w(b).
b*(b + 4)
Let t = 3112/405 + -185/81. Factor t*k**4 + 0 + 0*k**2 + 0*k + 6/5*k**3 + 12/5*k**5.
3*k**3*(k + 2)*(4*k + 1)/5
Let n(s) be the third derivative of s**7/525 + s**6/30 + 11*s**5/50 + 2*s**4/3 + 16*s**3/15 - s**2 + 140*s. Factor n(y).
2*(y + 1)**2*(y + 4)**2/5
Let q(v) be the third derivative of 0*v**3 + 0 - 3/4*v**4 - 20*v**2 + 1/40*v**6 + 0*v - 1/4*v**5. Find p, given that q(p) = 0.
-1, 0, 6
Let n(g) be the second derivative of g**8/168 + g**7/60 + g**6/90 + 19*g**3/6 - 22*g. Let m(u) be the second derivative of n(u). Factor m(q).
2*q**2*(q + 1)*(5*q + 2)
Let k = -42 - -44. Find o such that -2 - 8 + 6*o**k - 2*o**3 + 10 = 0.
0, 3
Let h be (-76)/18*-3*(-1 - 2). Let r = h - -40. Factor 1/4*v**r + 1/4 - 1/2*v.
(v - 1)**2/4
Let x = -29 - -31. Factor 12*m - 28*m**2 + 14*m**4 - 16*m**4 - x*m**4 + 20*m**3.
-4*m*(m - 3)*(m - 1)**2
Let d(g) be the second derivative of -2*g**6/15 + 2*g**5/5 - 4*g**3/3 + 2*g**2 + 33*g + 1. Factor d(s).
-4*(s - 1)**3*(s + 1)
Factor -9*m**3 + 4*m**5 - 20*m**2 + 5*m**3 + 28*m**2 - 8*m**4.
4*m**2*(m - 2)*(m - 1)*(m + 1)
Let i(n) be the third derivative of n**5/105 - 3*n**4/2 - 128*n**3/21 - 17*n**2. Factor i(c).
4*(c - 64)*(c + 1)/7
Let b(i) = 4*i**3 - 19*i**2 + 49*i - 32. Let l(m) = -2*m**3 + m**2 - m. Let s(t) = 2*b(t) + 2*l(t). Factor s(a).
4*(a - 4)**2*(a - 1)
Let p(n) be the third derivative of -n**8/28 - 83*n**7/70 - 627*n**6/40 - 999*n**5/10 - 513*n**4/2 + 324*n**3 + 210*n**2 + 2. Solve p(l) = 0 for l.
-6, -3, 1/4
Let x(m) be the first derivative of -m**6/3 + 8*m**5/5 - 2*m**4 - 4*m**3/3 + 5*m**2 - 4*m - 55. Find z such that x(z) = 0.
-1, 1, 2
Let x be 19/4*-2 - (-80)/8. Factor -3/2*l**3 + 0 + 3/2*l**2 - x*l + 1/2*l**4.
l*(l - 1)**3/2
Let n(f) be the third derivative of 0*f**3 + 1/6*f**4 + 0 - 2/15*f**5 + 0*f**6 + 0*f + 4/105*f**7 - 1/84*f**8 - 11*f**2. Find l, given that n(l) = 0.
-1, 0, 1
Suppose c = -4*h - 68, 0 = -4*h + 3*h - c - 17. Let u = -14 - h. What is q in 4*q**2 - 4*q**4 - 32*q**5 + 2*q**3 + 36*q**5 - 6*q**u = 0?
-1, 0, 1
Let t be 20/6 + (-2)/6. Let q(m) = -m**2 - 6*m - 6. Let z be q(-4). Suppose 2/7*a + 0*a**z + 0 - 2/7*a**t = 0. What is a?
-1, 0, 1
Let s(o) be the second derivative of 7/4*o**4 + 6*o**2 + 24*o + 0 + 8*o**3. Solve s(l) = 0.
-2, -2/7
Let d(h) be the first derivative of -2*h**3/15 + 19*h**2/5 + 132*h/5 + 624. Factor d(y).
-2*(y - 22)*(y + 3)/5
Suppose -m = b - 25, 0 = 5*b - 13 - 7. Let j = 37 - m. Factor -j*c**2 + 6 - 6 - 8*c + 10*c**3.
2*c*(c - 2)*(5*c + 2)
Let q(p) be the first derivative of 6 - 9/20*p**4 + 11/15*p**3 - 1/5*p**2 + 0*p. Find l, given that q(l) = 0.
0, 2/9, 1
Let u(r) = 1. Let x(g) = 5*g + 25. Let m(a) = 2*u(a) + x(a). Let c be m(-5). Suppose -1/5*j - 1/5*j**c + 2/5 = 0. What is j?
-2, 1
Let y be 0 - (4 + -1)/3 - 648/(-216). Solve -2/7*l**y + 0 + 2/7*l = 0.
0, 1
Let r(h) = h**4 + 2*h**3 - 2*h**2 - h - 1. Let n(j) = -3*j**4 + 19*j**3 - 9*j**2 - 17*j + 8. Let z(b) = -n(b) + 2*r(b). Factor z(u).
5*(u - 2)*(u - 1)**2*(u + 1)
Let t(o) be the third derivative of -o**7/210 - o**6/20 - o**5/12 - 288*o**2. Factor t(z).
-z**2*(z + 1)*(z + 5)
Suppose -2*n + 0*n = 40. Let t be 1/(-4) - 65/n. Factor 4*o**2 + 9 + 11*o - 4*o**4 - t*o**5 - o**5 + 20*o**3 + 7 - 43*o.
-4*(o - 1)**3*(o + 2)**2
Suppose 8*n - 30*n = -10*n - 6*n. Factor 4/15*m**5 + 0 + 2/5*m**3 + 2/3*m**4 + 0*m**2 + n*m.
2*m**3*(m + 1)*(2*m + 3)/15
Let i(g) be the third derivative of -15*g**8/64 + 71*g**7/56 - 67*g**6/96 - 17*g**5/48 + 5*g**4/16 + 31*g**2 - 2*g. Suppose i(w) = 0. Calculate w.
-2/7, 0, 1/3, 3
Let r = -354 - -354. Let v(x) be the second derivative of 1/40*x**5 + 0*x**4 - 1/12*x**3 + 0*x**2 - 6*x + r. Find n such that v(n) = 0.
-1, 0, 1
Let s(l) be the first derivative of l**6/30 + 3*l**5/20 - 3*l**4/4 + 5*l**3/6 - 7*l + 24. Let g(b) be the first derivative of s(b). Solve g(z) = 0.
-5, 0, 1
Let h be (-10)/(-14)*(42/(-35) + 2). Let p(a) be the first derivative of -8/21*a**3 - 4 + 1/14*a**4 + h*a**2 + 0*a. Suppose p(g) = 0. What is g?
0, 2
Let j(a) be the third derivative of a**8/252 + 2*a**7/63 - 7*a**6/30 - 53*a**5/45 - 14*a**4/9 + 311*a**2. Let j(d) = 0. Calculate d.
-7, -1, 0, 4
Let o be (-7*19/931)/((-12)/70). Let b(k) be the first derivative of -20*k**3 + 0*k + o*k**6 - 7 + 10*k**2 + 65/4*k**4 - 6*k**5. Find a, given that b(a) = 0.
0, 1, 2
What is x in 20/3*x**4 + 64 - 212/3*x**2 + 4/3*x**5 - 12*x**3 + 32/3*x = 0?
-4, -1, 1, 3
Let d(z) = z**4 + 16*z**3 - 17*z**2 - 16*z + 21. Let o(i) = 0*i - 8*i**2 - 8*i + 8 + 8*i**3 + 2. Let w(m) = -4*d(m) + 10*o(m). Factor w(f).
-4*(f - 2)**2*(f - 1)*(f + 1)
Let s(f) = f**3 - 19*f**2 + 87*f - 77. Let r be s(13). Solve -2/5*t + 150*t**5 + 24/5*t**2 + 0 - r*t**4 - 12*t**3 = 0 for t.
-1/3, 0, 1/5
Let m(s) be the first derivative of 0*s - 12*s**6 + 0*s**2 - 4*s**3 - 41/2*s**4 + 53 - 142/5*s**5. Determine r so that m(r) = 0.
-1, -3/4, -2/9, 0
Let z(n) be the first derivative of -n**3/12 + n**2/2 - n - 16. Factor z(x).
-(x - 2)**2/4
Suppose 4 - 12 = -4*t. Factor -4 + 4 - v + 7*v - 4 - 2*v**t.
-2*(v - 2)*(v - 1)
Factor -120*v + 70*v - 15*v**2 + 22*v**3 - 2*v**3 + 7*v**4 + 40 - 2*v**4.
5*(v - 1)**2*(v + 2)*(v + 4)
Let b(m) be the second derivative of m**7/126 - 4*m**6/15 - 13*m**5/15 - m**4/18 + 17*m**3/6 + 13*m**2/3 + 488*m. Factor b(r).
(r - 26)*(r - 1)*(r + 1)**3/3
Find d, given that 8 + 12*d - 6*d + 0*d**2 + 1 - 3*d**2 = 0.
-1, 3
Suppose 0 = -2*d - 3*s - 2, -3*d + s = -s - 10. Determine r, given that -2*r**3 - 3*r**3 + 4*r**3 - 9 - 2*r**3 + 15*r - 3*r**d = 0.
-3, 1
Find o such that -2/15*o**2 + 0 - 44/15*o = 0.
-22, 0
Solve 0*u - 2/5*u**5 + 16/5*u**2 + 0 + 8/5*u**3 - 4/5*u**4 = 0.
-2, 0, 2
Let h(k) be the third derivative of k**8/2520 - k**7/1575 - k**6/450 + k**5/225 + k**4/180 - k**3/45 + 71*k**2. Solve h(i) = 0.
-1, 1
Let k(b) be the third derivative of -b**7/630 - b**6/360 + b**5/36 - b**4/24 + 317*b**2. Factor k(z).
-z*(z - 1)**2*(z + 3)/3
Factor 25*i**2 - 10*i**3 + 6*i**4 - 13*i**4 - 3*i**4 + 30*i + 5*i**4.
-5*i*(i - 2)*(i + 1)*(i + 3)
Suppose v + 23 = 5*s, -24*s = -2*v - 23*s - 1. Let w(c) be the second derivative of v*c**3 + 5*c - 1/15*c**6 - 3/5*c**5 - 4/3*c**4 + 9*c**2 + 0. Factor w(a).
-2*(a - 1)*(a + 1)*(a + 3)**2
Let k(t) be the second derivative of -3*t**5/10 - 11*t**4/3 - 25*t**3/3 - 6*t**2 + 2*t + 225. Let k(c) = 0. Calculate c.
-6, -1, -1/3
Let a be ((-2)/(-5))/(-7 + 513/45). Factor 1/11*s**3 - a*s + 0 + 0*s**2.
s*(s - 1)*(s + 1)/11
Let g(q) be the first derivative of 363*q**4/16 + 77*q**3/4 - 15*q**2 + 3*q + 24. Suppose g(c) = 0. Calculate c.
-1, 2/11
Let l(f) be the second derivative of f**7/84 - f**5/8 + f**3/3 - 21*f + 1. Solve l(h) = 0 for h.
-2, -1, 0, 1, 2
Let t(n) be the first derivative of -n**6/2 + 33*n**5/5 - 117*n**4/4 + 61*n**3 - 66*n**2 + 36*n + 305. Let t(v) = 0. Calculate v.
1, 2, 6
Let m be (-3)/9 + 210/63. Let y(w) be the second derivative of -1/4*w**m + 5*w + 1/8*w**4 + 0 - 3/4*w**2 + 3/40*w**5. Factor y(r).
3*(r - 1)*(r + 1)**2/2
What is t in 42*t - 9/2*t**3 + 36 + 9*t**2 - 3/2*t**4 = 0?
-2, 3
Let y be (-45)/180 + ((-546)/(-40))/13. Determine v, given that 4/5*v**3 - 1/5*v**4 - 6/5*v**2 - 1/5 + y*v = 0.
1
Let w = 2185/876 - -5/876. What is b in b + 3/2*b**3 + 0 - 1/2*b**5 - w*b**2 + 1/2*b**4 = 0?
-2, 0, 1
Factor 14 + 47*m - 5*m**2 + 36 - 136*m + 44*m.
-5*(m - 1)*(m + 10)
Factor 1386*t - 2916 + 320/9*t**2 + 2/9*t**3.
2*(t - 2)*(t + 81)**2/9
Let g(c) = c**3 - 14*c**2 - 16*c - 34. Let n be g(15). Let l = n + 99/2. Factor -1/2 + 3/4*a + l*a**2 + 0*a**4 + 1/4*a**5 - a**3.
(a - 1)**3*(a + 1)*(a + 2)/4
Let z(n) be the first derivative of 0*n + 1/2*n**6 + 0*n**5 - 3/2*n**4 + 3/2*n**2 + 0*n**3 + 14. Factor z(h).
3*h*(h - 1)**2*(h + 1)**2
Let l be (-4)/(-26) + (4 - 1152/(-117)). Suppose -l*d**4 - 3*d**3 + 18*d**2 + 17*d**4 - 9*d**3 + 3 - 12*d = 0. What is d?
1
Let h(q) be the third derivative of q**6/60 - 11*q**5/30 + 8*q**4/3 - 28*q**3/3 - 3*q**2 - 74. Determine o, given that h(o) = 0.
2, 7
What is j in 0*j**2 + 32*j**2 + 2*j**3 - 124*j + 214*j - 324 = 0?
-9, 2
Let y = 12917 + -12915. Find n such that y*n**3 + 0 - 5/2*n**2 + 1/2*n = 0.
0, 1/4, 1
Let t(l) be the second derivative of l**8/4200 - l**7/2100 - l**6/450 + 3*l**3 + 8*