or d(f).
(f - 1)**3*(f + 1)/3
Let x(d) be the third derivative of -d**7/10 - d**6/20 + 7*d**5/20 + d**4/4 + 8*d**2. Factor x(l).
-3*l*(l - 1)*(l + 1)*(7*l + 2)
Let g(x) = x**3 + 2*x**2 - 4*x - 1. Let y be g(-3). Let a be y/18 - (-14)/63. Factor 0*h**3 - a*h**4 + 0*h - 1/3*h**5 + 0 + 0*h**2.
-h**4*(h + 1)/3
Let o(w) be the second derivative of -w**4/3 + 5*w. Find x such that o(x) = 0.
0
Suppose k - 12 + 7 = 0. Suppose o + 0*o = -k*d + 12, 0 = 4*d - o - 6. Factor -8*c**d - 1/2 + 4*c.
-(4*c - 1)**2/2
Let g(x) = -x + 7. Let f be g(5). Suppose 0*k + f = k. Determine y so that -2*y**k - 3*y**4 - 5*y**3 - 2*y**4 - 2*y**3 = 0.
-1, -2/5, 0
Suppose -2*k + 18 = 3*m, -4*m + 2*m = -k + 2. Suppose 11*p = k*p. Find g, given that p*g + 2/7*g**2 + 0 = 0.
0
Let m(i) be the third derivative of i**6/840 + i**5/420 - i**4/168 - i**3/42 - 9*i**2. Solve m(y) = 0 for y.
-1, 1
Let g(x) be the first derivative of 3*x**4/14 + 16*x**3/21 + x**2 + 4*x/7 - 22. Factor g(f).
2*(f + 1)**2*(3*f + 2)/7
Let s = -42 - -46. Let o(u) be the first derivative of 1/8*u**2 - 1/16*u**s + 3 + 0*u + 0*u**3. Factor o(w).
-w*(w - 1)*(w + 1)/4
Suppose 4*j - 28 = -3*j. Let z(h) be the first derivative of -2/3*h**3 - 1/2*h**2 + 1 + 2*h + 1/4*h**j. Suppose z(d) = 0. Calculate d.
-1, 1, 2
Let -12/7*w**5 + 2/7*w**2 - 2/7*w**4 + 0 + 0*w + 12/7*w**3 = 0. What is w?
-1, -1/6, 0, 1
Let j(i) = -i**2 + 16*i - 15. Let r(q) = 4*q**2 - 80*q + 76. Let s(d) = 16*j(d) + 3*r(d). Factor s(b).
-4*(b - 3)*(b - 1)
Solve 0*b - 12/5*b**4 - 6/5*b**2 + 0 + 3*b**3 + 3/5*b**5 = 0.
0, 1, 2
Let l(u) be the first derivative of 12/7*u**2 - 3/7*u**4 + 8/7*u + 10/21*u**3 + 1. Determine f, given that l(f) = 0.
-2/3, -1/2, 2
Let g(p) be the third derivative of -p**6/105 - p**5/15 - p**4/6 - 4*p**3/21 - 3*p**2 + 20*p. Factor g(k).
-4*(k + 1)*(k + 2)*(2*k + 1)/7
Let r(l) be the first derivative of l**3/5 - 21*l**2/10 + 6*l - 29. What is u in r(u) = 0?
2, 5
Suppose -3*l + 42 = 6. Let v = l + -7. Factor -v*p - 3*p**4 - 2*p**3 + 5*p + p**4 + 2*p + 2*p**2.
-2*p*(p - 1)*(p + 1)**2
Let y(v) be the second derivative of -v**6/10 - 3*v**5/4 - 9*v**4/4 - 7*v**3/2 - 3*v**2 - 10*v. Factor y(s).
-3*(s + 1)**3*(s + 2)
Suppose -d - 3*d + 20 = 0. Let -5*v**4 + 16*v**2 - v**2 - d*v**3 - 4 + 3*v**3 - 4*v = 0. Calculate v.
-2, -2/5, 1
Let t(m) = m. Let g be t(-3). Let v be 6/(-9)*g - -1. Suppose -4*s**5 + 5*s + v*s**3 - 6*s**4 + 4*s**2 - 4*s + 2*s**4 = 0. What is s?
-1, -1/2, 0, 1
Let h be (-2)/13 - (-5)/390*38. Solve 1/3*y**5 - 2/3*y**3 + 1/3*y**4 + h*y + 1/3 - 2/3*y**2 = 0.
-1, 1
Let t be 1 - (0/2 + -3). Factor 2*g - 9*g**2 - 5*g**3 + g + 6*g**t - g**3 + 3*g**3 + 3.
3*(g - 1)**2*(g + 1)*(2*g + 1)
Let a be 0 + 1*(4 - 1). Factor 56*j - 16*j**4 - 10 - 76*j**2 - 6 + 0*j**5 + 2*j**5 - 22*j**a + 72*j**3.
2*(j - 2)**3*(j - 1)**2
Determine j so that 7/2*j**2 + 1/2 + 5/2*j + 3/2*j**3 = 0.
-1, -1/3
Let a be ((-84)/784)/(30/(-4)). Let k(f) be the second derivative of 1/21*f**4 - 2/7*f**2 - 1/21*f**3 - 3*f + 0 + a*f**5. Factor k(u).
2*(u - 1)*(u + 1)*(u + 2)/7
Let b(m) be the second derivative of -1/6*m**4 + 0 + 1/15*m**6 + 0*m**2 - 3*m - 1/10*m**5 + 1/3*m**3. Suppose b(a) = 0. What is a?
-1, 0, 1
Suppose -2*h + 2*j = -24 + 6, 4*h - 1 = -3*j. Let r(b) = b**3 + b**2 + b + 1. Let m(v) = 8*v**3 - 3*v**2 - 10*v + 1. Let y(x) = h*r(x) + 4*m(x). Factor y(n).
4*(n - 1)*(n + 1)*(9*n - 2)
Let o = -17 + 19. Determine g so that 3 + 20*g - 32*g - 2*g**2 + 5 + 6*g**o = 0.
1, 2
Solve -2/3*g**2 - 2/3 - 4/3*g = 0.
-1
Let g(z) be the second derivative of z**7/189 + z**6/135 - z**5/45 - z**4/27 + z**3/27 + z**2/9 - 4*z. Solve g(u) = 0.
-1, 1
Factor -5/3*d**2 - 5/3*d + 0.
-5*d*(d + 1)/3
Let g be (-10)/4*16/(-20). Factor n + 3 - n**g - 3.
-n*(n - 1)
Suppose 0 = t - 5*t. Let q(o) be the third derivative of -o**2 + 0 + 1/24*o**4 + t*o + 0*o**3 + 1/60*o**5. Factor q(k).
k*(k + 1)
Let g(a) be the first derivative of -3/2*a**2 + 0*a - 4/3*a**3 - 4 - 1/4*a**4. Find r such that g(r) = 0.
-3, -1, 0
Let p = 27 - 22. Suppose -5*g - 16 = -4*g + p*i, 4*g = 4*i + 32. Find f, given that -4/7 + 2*f - 18/7*f**2 - 2/7*f**g + 10/7*f**3 = 0.
1, 2
Let c(l) = l**2 + 3*l + 3. Let m be c(-2). Let u(p) be the first derivative of -8*p**2 + m + 32/3*p**3 + 2*p. Factor u(a).
2*(4*a - 1)**2
Let s(p) be the second derivative of -1/45*p**6 + 1/3*p**2 + 2/9*p**3 + 0 - 1/15*p**5 + 0*p**4 + 5*p. Factor s(g).
-2*(g - 1)*(g + 1)**3/3
Let c = 17 + -14. Suppose 0 = -0*v - c*v + 6. Factor -4/7*o**v + 2/7*o**3 + 0 + 2/7*o.
2*o*(o - 1)**2/7
Let x(k) be the third derivative of 5/32*k**4 + k**2 + 0 + 0*k - 1/12*k**3 - 1/10*k**5 - 1/30*k**6. Determine b so that x(b) = 0.
-2, 1/4
Let u = -918 + 918. Factor u - 2/5*m**2 + 2/5*m.
-2*m*(m - 1)/5
Let k(q) be the second derivative of 5*q**7/42 - 11*q**6/6 + 43*q**5/4 - 365*q**4/12 + 140*q**3/3 - 40*q**2 + 68*q. Factor k(i).
5*(i - 4)**2*(i - 1)**3
Let g(b) be the first derivative of b**4/16 - 5*b**3/12 + 7*b**2/8 - 3*b/4 + 33. Factor g(x).
(x - 3)*(x - 1)**2/4
Let d(j) be the first derivative of j**6/24 - j**5/5 + 5*j**4/16 - j**3/6 + 8. Factor d(o).
o**2*(o - 2)*(o - 1)**2/4
Let g(t) be the second derivative of -t**7/315 + 2*t**6/75 - 13*t**5/150 + 2*t**4/15 - 4*t**3/45 + 25*t. Factor g(o).
-2*o*(o - 2)**2*(o - 1)**2/15
Let a = -21 + 21. Let s(j) be the second derivative of -1/30*j**4 + 0*j**3 + a + 1/5*j**2 - 2*j. Factor s(w).
-2*(w - 1)*(w + 1)/5
Let t(g) be the second derivative of 0*g**3 + 1/49*g**7 + 0 + 1/15*g**6 + 5*g + 1/42*g**4 + 0*g**2 + 1/14*g**5. Determine f, given that t(f) = 0.
-1, -1/3, 0
Let n(q) = 56*q - 332. Let g be n(6). Factor c**g + 0*c**3 - c**2 + 1/2*c**5 - 1/2*c + 0.
c*(c - 1)*(c + 1)**3/2
Let f(b) be the first derivative of -5*b**6/18 - 22*b**5/15 - 19*b**4/6 - 32*b**3/9 - 13*b**2/6 - 2*b/3 - 5. Solve f(p) = 0.
-1, -2/5
Suppose -a + 3*z - 7 = 0, 0*z - z = -2*a + 11. Suppose f = 5*f - a. Factor 0*k**f + 0 + 2/3*k**3 + 0*k.
2*k**3/3
Factor -3/2*r**4 + 3*r**3 + 3/2*r**2 - 3*r + 0.
-3*r*(r - 2)*(r - 1)*(r + 1)/2
Let b be 1/(-2)*(1 - 1) - 0. Let h(y) be the third derivative of 1/360*y**6 + 0*y - 1/60*y**5 + b*y**3 + 1/210*y**7 - 3*y**2 + 0 - 1/72*y**4. Factor h(m).
m*(m - 1)*(m + 1)*(3*m + 1)/3
Solve 4/5*p**3 + 0 + 4/5*p**2 + 0*p + 1/5*p**4 = 0.
-2, 0
Let w(j) be the second derivative of -1/35*j**5 + 0*j**2 + 0 + 1/105*j**6 + 1/42*j**4 + 0*j**3 - j. Suppose w(m) = 0. Calculate m.
0, 1
Let m(r) be the second derivative of -r**4/30 + 2*r**3/15 - r**2/5 - 12*r. Factor m(h).
-2*(h - 1)**2/5
Let a be (134/306)/((-5)/(-2)). Let w = a - -4/85. Factor w*d**2 + 4/9*d + 2/9.
2*(d + 1)**2/9
Let i(l) = -19*l - 72. Let h be i(-4). Let 1/2*z + 0 + 1/4*z**5 - 3/4*z**3 + 1/4*z**h - 1/4*z**2 = 0. What is z?
-2, -1, 0, 1
Let r be -1 - 1 - (-31)/15. Let x(t) be the third derivative of 0*t**3 - 1/24*t**4 - r*t**5 + t**2 + 0*t + 0. Factor x(i).
-i*(4*i + 1)
Let w = -188/5 - -574/15. Factor w*j - j**3 + 1/3*j**2 + 1/3*j**5 + 0 - 1/3*j**4.
j*(j - 2)*(j - 1)*(j + 1)**2/3
Suppose 4*s - 1 = 7. Determine y, given that 2*y**2 - 3*y + 4*y**2 - s*y + 2*y - 3*y**3 = 0.
0, 1
Let l(m) be the first derivative of -m**6/1260 - 2*m**5/105 - 4*m**4/21 - 7*m**3/3 + 1. Let g(z) be the third derivative of l(z). Let g(q) = 0. Calculate q.
-4
Let c(z) be the third derivative of -z**5/300 + z**4/120 + 6*z**2. Solve c(g) = 0 for g.
0, 1
Let v(r) be the second derivative of -r**9/4536 + r**7/1260 + r**3/6 - 4*r. Let q(k) be the second derivative of v(k). Factor q(d).
-2*d**3*(d - 1)*(d + 1)/3
Let i(l) = 1 - 1 - 2*l + 3*l + 7. Let f be i(-5). Factor 0 + 0*t - 2/7*t**3 + 2/7*t**f.
-2*t**2*(t - 1)/7
Let i = 5 + -1. Factor -i*c + 5*c**2 + 7*c**2 - 2*c**2.
2*c*(5*c - 2)
Let f = -1643/4 + 411. Factor -f*r**2 + 0*r + 1/4.
-(r - 1)*(r + 1)/4
Determine t so that -2/5*t**3 - 16/5 - 24/5*t - 12/5*t**2 = 0.
-2
Let x(d) be the second derivative of -d**5/100 - d**4/10 + 5*d. Let x(g) = 0. What is g?
-6, 0
Factor -3/8*u + 3/8*u**2 + 7/8*u**3 + 3/8*u**4 - 1/4.
(u + 1)**3*(3*u - 2)/8
Let d(l) be the first derivative of 3/2*l**2 + 2*l**3 + 0*l + 3/4*l**4 + 1. Factor d(j).
3*j*(j + 1)**2
Solve 1/7*t**4 - 8/7*t**3 - 16/7*t + 0 + 20/7*t**2 = 0.
0, 2, 4
Suppose 0 = -2*l + 5 + 3. Let v be (-12)/(-8) - 2/l. What is w in v + 3 - 4*w**2 + 6*w + 0*w = 0?
-1/2, 2
Let r(d) be the second derivative of 0 - d**2 + 0*d**4 - 1