/4 + 17*y**3/3 - 3*y**2 - 46. Factor k(g).
-g*(g - 3)*(g - 2)*(g - 1)**2
Let h(s) be the first derivative of -3*s**4/2 - 4*s**3 + 3*s**2 - 6*s + 16. Let j(p) = p**3 + p. Let r(l) = h(l) + 9*j(l). Factor r(m).
3*(m - 2)*(m - 1)**2
Let z(a) be the second derivative of -a**6/45 + 7*a**5/30 + a**4/18 - 7*a**3/9 - 2*a + 3. Solve z(c) = 0 for c.
-1, 0, 1, 7
Suppose -3*q = -5*q. Factor -7*p**3 + q*p**3 + 2*p - 25*p**3 - 6 + 96*p**2.
-2*(p - 3)*(4*p - 1)*(4*p + 1)
Let q = -3 - -5. Let r = 1 + 19. Solve r*o**q - 9*o**4 - 3*o**3 - 14*o**2 + 9*o - 3*o**5 - 2*o**3 + 3 - o**3 = 0 for o.
-1, 1
Suppose -15 = 4*h - z, -2*z + z = 2*h + 15. Let x be (-2)/1 - (-14)/h*-1. Factor -x*s**2 + 2/5*s**3 + 2/5*s + 0.
2*s*(s - 1)**2/5
Let u be 32/15 - ((-4312)/(-165) - 26). Let -4/5*z**u + 0*z + 4/5 = 0. What is z?
-1, 1
Suppose 11*r - 164*r = 0. Suppose 6/7*f + r + 6/7*f**3 - 15/7*f**2 = 0. What is f?
0, 1/2, 2
Let t(b) be the first derivative of -3*b**5/10 - 5*b**4/6 - b**3/3 + b**2 - 30*b + 30. Let s(n) be the first derivative of t(n). Factor s(r).
-2*(r + 1)**2*(3*r - 1)
Let g(h) be the second derivative of h**9/1008 - 3*h**8/560 + h**6/30 - 3*h**3 - 11*h. Let y(v) be the second derivative of g(v). Factor y(d).
3*d**2*(d - 2)**2*(d + 1)
Let -28 + 71/2*r**3 + 111*r**2 + 82*r + 2*r**4 = 0. Calculate r.
-14, -2, 1/4
Let x(r) be the second derivative of r**6/105 + r**5/35 - r**4/14 - 4*r**3/21 + 4*r**2/7 - 247*r. Factor x(l).
2*(l - 1)**2*(l + 2)**2/7
Suppose -j + 5*f = 6*f - 6, 0 = j - 5*f + 6. Let m be (3*-1)/(-5 - (-2)/j). Find b, given that 2/3*b + 0 - m*b**2 = 0.
0, 1
Let r = -57450 - -57453. Find h, given that 12/7 + 6/7*h**2 + r*h - 3/7*h**3 = 0.
-1, 4
Suppose 37 - 14 + 29 = 26*m. Factor 0 - 4*b - 7/2*b**3 - 15*b**m.
-b*(b + 4)*(7*b + 2)/2
Let w be 4/(-5)*5/(-2). Suppose 7*a = 2*a + 20. What is l in 1 - 2*l**3 + 2*l**2 + 3*l + 0*l + w - 2 - 3*l**a - l**5 = 0?
-1, 1
Suppose 5*f - 11 = m, -2*m - 4*f = m - 24. What is c in c + c - 19*c**4 - 8 + 2*c**5 - m*c**3 + 11*c**4 + 0 + 16*c**2 = 0?
-1, 1, 4
Let a(p) be the first derivative of 2*p**6/3 - 12*p**5/5 - p**4 + 44*p**3/3 - 24*p**2 + 16*p - 315. Suppose a(k) = 0. Calculate k.
-2, 1, 2
Suppose 6 = -2*l + l - 4*i, 0 = -4*l + 2*i + 12. Factor 4*k - k**2 - 6 + l + 2*k - k**2.
-2*(k - 2)*(k - 1)
Let u(p) be the third derivative of 0*p**4 + 0 + 0*p - 1/20*p**6 - 10*p**2 + 0*p**3 - 1/288*p**8 - 1/42*p**7 - 1/45*p**5. What is g in u(g) = 0?
-2, -2/7, 0
Let d(a) be the second derivative of a**4/21 + 11*a**3/21 - 6*a**2/7 + 52*a. Find w such that d(w) = 0.
-6, 1/2
Let a be -2*(-1)/(-20) + 248/80. Let h(x) be the first derivative of 0*x**2 + 2/55*x**5 + 3/22*x**4 + 5 + 0*x + 4/33*x**a. Factor h(r).
2*r**2*(r + 1)*(r + 2)/11
Suppose -10 = -l + 3*l. Let o = l - -9. Factor -15*v**2 + 9*v**3 + 6*v**4 + 36*v**o + 9*v**2.
3*v**2*(2*v + 1)*(7*v - 2)
Suppose -13*u + 7*u = -4*u. Let k(p) be the second derivative of 4/3*p**3 + p**2 + 1/15*p**6 + 5*p + 2/5*p**5 + p**4 + u. Suppose k(h) = 0. Calculate h.
-1
Let r(u) be the second derivative of u**9/3024 + u**8/448 - u**7/252 - u**6/12 - u**5/3 + u**4 - 3*u. Let w(h) be the third derivative of r(h). Factor w(o).
5*(o - 2)*(o + 1)*(o + 2)**2
Let y(n) be the second derivative of -12*n**2 - 1/6*n**4 + 13/3*n**3 - 20 - 2*n. Factor y(i).
-2*(i - 12)*(i - 1)
Let v(s) = -s**3 + 16*s**2 - 13*s - 6. Let l be v(15). What is g in -14*g**2 + 4*g - 5*g**3 - l*g - 6*g**2 = 0?
-2, 0
Factor -1 + 1 + 4*g**3 + 36379*g**2 - 36359*g**2 - 56*g.
4*g*(g - 2)*(g + 7)
Let h(o) be the third derivative of 27*o**8/112 - 15*o**7/56 - 4*o**6/9 - o**5/6 + 8*o**3/3 + 27*o**2. Let j(d) be the first derivative of h(d). Factor j(q).
5*q*(q - 1)*(9*q + 2)**2
Let p(r) be the second derivative of 3*r**5/10 - 7*r**4/3 + 20*r**3/3 - 8*r**2 + 6*r - 1. Find h such that p(h) = 0.
2/3, 2
Let q(k) be the third derivative of k**6/420 - 2*k**5/35 + 3*k**4/7 - 53*k**2. Find c such that q(c) = 0.
0, 6
Suppose 4*m - 12 = -5*b, b = -0*b. Determine n, given that -7*n - 5*n**m + 9*n**2 + 3 + 2*n**3 - 2*n = 0.
1
Let r = 47 - 21. Let f = r + -128/5. Solve -4/5*j**2 + 0*j**3 + 4/5*j**4 + f*j**5 - 2/5*j + 0 = 0 for j.
-1, 0, 1
Let z be (-2*3/12)/((-60)/360). Factor 4/3*b**z - 26/9*b**2 + 8/3*b - 8/9 - 2/9*b**4.
-2*(b - 2)**2*(b - 1)**2/9
Let g = -15 + 17. Let s be 45/10 + -4 + g. What is z in z - s*z**3 + 3/2*z**2 + 0 = 0?
-2/5, 0, 1
Let z(y) be the second derivative of y**4/54 - 2*y**3/27 - 9*y + 4. Suppose z(i) = 0. What is i?
0, 2
Solve -40*y**2 - 15*y**5 + 40*y**4 - 34817 + 20*y - 5*y**3 + 34817 = 0 for y.
-1, 0, 2/3, 1, 2
Let y be 4/((-12)/15)*-65. Let 51*f**3 - 424*f - 3*f**5 + 27*f**4 + y*f + 138*f**2 - 141*f**3 + 27 = 0. What is f?
1, 3
Let y(b) = -27*b**3 + 287*b**2 - 91*b + 5. Let v(a) = 30*a**3 - 286*a**2 + 90*a - 6. Let h(d) = -5*v(d) - 6*y(d). Factor h(q).
4*q*(q - 24)*(3*q - 1)
Let j = -155 - -2634/17. Let d = 22/85 + j. Factor -1/5 - 1/5*k**4 + 2/5*k**3 + 2/5*k**2 - d*k**5 - 1/5*k.
-(k - 1)**2*(k + 1)**3/5
Factor -3*a - 20*a + 3*a - 8 - 16*a**3 + 44*a**2.
-4*(a - 2)*(a - 1)*(4*a + 1)
Let v(i) be the third derivative of i**5/60 - i**4/24 - 20*i**2. Factor v(t).
t*(t - 1)
Let u(x) = -x + 8. Let l be u(4). Solve 0*t**2 - 13*t**2 + t**5 + 6*t**2 - t**3 - 2*t**l + 9*t**2 = 0.
-1, 0, 1, 2
Let d(n) be the second derivative of n**5/2 - 41*n**4/10 + 6*n**3 + 8*n**2/5 - n - 112. What is b in d(b) = 0?
-2/25, 1, 4
Let v be (-1)/11 - (5304/(-1980))/17. Let b(c) be the third derivative of 0*c**3 + 1/30*c**6 - v*c**5 - 1/3*c**4 + 9*c**2 + 0*c + 0. Factor b(x).
4*x*(x - 2)*(x + 1)
Let s(c) = c**2 + 9*c + 2. Let z(o) = o**3 - 2*o**2 - o + 2. Let a(x) = -s(x) + z(x). Solve a(d) = 0.
-2, 0, 5
Factor -32 - 9/2*s**2 - 13/4*s**3 - 1/4*s**4 + 40*s.
-(s - 2)*(s - 1)*(s + 8)**2/4
Let k be (-12)/(36/(-9)) + 0. Solve 0 + 2/5*h**4 - 4/15*h + 6/5*h**2 - 4/3*h**k = 0.
0, 1/3, 1, 2
Factor -2/9*y**2 + 40/9*y - 22.
-2*(y - 11)*(y - 9)/9
Factor 0*h + 1/4*h**5 - h**2 + 0 - h**3 + 1/4*h**4.
h**2*(h - 2)*(h + 1)*(h + 2)/4
Let a(f) be the first derivative of 2*f**3/33 - 80*f**2/11 - 162*f/11 + 23. Factor a(b).
2*(b - 81)*(b + 1)/11
Suppose 3*p = -p. Let r be (-3 + p)*32/(-24). Factor r*b**3 - b**2 + 11*b**4 + 3*b**2 - 9*b**4.
2*b**2*(b + 1)**2
Factor -16/11*n - 1/11*n**4 + 0 - 9/11*n**3 - 24/11*n**2.
-n*(n + 1)*(n + 4)**2/11
Let x(l) be the second derivative of -25/12*l**4 - 5*l**2 + 9/4*l**5 + 7/6*l**6 - 15/2*l**3 - 8*l + 0. Solve x(q) = 0.
-1, -2/7, 1
Let q(v) be the second derivative of v**4/8 + 3*v**3/2 - 23*v + 2. Let q(j) = 0. What is j?
-6, 0
Let d(p) be the second derivative of -2*p**6/45 + 2*p**5/5 - p**4 + 8*p**3/9 - 52*p - 3. Let d(h) = 0. Calculate h.
0, 1, 4
Let x = -1260 + 1262. Solve 2/11*c**x - 4/11*c**3 + 0 + 2/11*c**4 + 0*c = 0.
0, 1
Let a(x) be the second derivative of 1/6*x**4 + 0*x**3 + 0 + 1/10*x**5 - 1/2*x**2 + 1/60*x**6 + 5*x. Let w(s) be the first derivative of a(s). Factor w(c).
2*c*(c + 1)*(c + 2)
Let g = 191/1189 + -8/41. Let x = 89/58 + g. Factor 0*k**3 - 3/2*k**5 + 0 - 3*k**2 + x*k + 3*k**4.
-3*k*(k - 1)**3*(k + 1)/2
Let d(k) be the third derivative of 5*k**2 + 1/42*k**7 + 0*k + 5/12*k**4 + 0*k**3 + 1/6*k**6 + 0 + 5/12*k**5. Find r such that d(r) = 0.
-2, -1, 0
Let p = 725 - 721. Suppose -3*v + 20 = v. Factor 2*z**p + 4 - v*z**4 + 8*z**3 - z - 7*z - z**4.
-4*(z - 1)**3*(z + 1)
Let n(s) be the third derivative of -s**5/12 - 135*s**4/8 + 415*s**3/3 + 15*s**2 - 4*s. Find l, given that n(l) = 0.
-83, 2
Suppose 29*v**3 + 10*v**2 - 40*v**3 + 4*v**3 + v**4 = 0. Calculate v.
0, 2, 5
Suppose -2*v - v = 5*f + 88, -2*v = 3*f + 58. Let h be 24/60 + v/(-10). Factor -i**4 + 4*i**2 + 5*i - i**2 + 2 + 20*i**h - 21*i**3.
-(i - 2)*(i + 1)**3
Let u(m) = -m**5 + m**3 + m**2 + m. Let v(s) = -8*s**5 + 195*s**4 - 4345*s**3 + 35915*s**2 - 59530*s + 27783. Let c(r) = 5*u(r) - v(r). Factor c(d).
3*(d - 21)**3*(d - 1)**2
Let g(b) = b + 1. Let k be g(4). Suppose 3*n - 84 = -2*p - p, 0 = 3*p - k*n - 116. Factor 11*i**2 - 2*i**3 + p + 2*i**3 - 48*i - 4*i**3 + 13*i**2.
-4*(i - 2)**3
Let i(g) be the first derivative of -3/10*g**4 + 1/5*g**3 + 3/5*g**2 + 6 - 3/25*g**5 + 0*g. Factor i(w).
-3*w*(w - 1)*(w + 1)*(w + 2)/5
Let p(t) = -t**2 - t - 3. Let q(d) = -33*d**3 - 97*d**2 - 4*d + 72. Let y(f) = 12*p(f) + 3*q(f). What is k in y(k) = 0?
-30/11, -1, 2/3
Let p = 3655/3