f - 3. Let d(t) be the first derivative of p(t). Factor d(r).
2*(r + 1)*(7*r - 2)/11
Solve 24*y**3 + 6*y**2 - 24*y**2 + 18 - 1 - 3*y**5 + 1 - 21*y = 0.
-3, -1, 1, 2
Let x(g) be the third derivative of g**7/350 + g**6/200 + 8*g**2 - 1. Factor x(b).
3*b**3*(b + 1)/5
Suppose -3*z - 5 + 8 = 0. Let r = 3 - z. Determine y, given that 2 - y - y**3 + r*y**2 - 2 = 0.
0, 1
Suppose h + 7*c - 3*c + 9 = 0, 3*c = 0. Let f be (-24)/h + (2 - 4). Let -f - 10/3*y**2 - 8/3*y - 4/3*y**3 = 0. Calculate y.
-1, -1/2
Let u(k) = -3*k**5 - 3*k**3 - 6*k - 6. Let c(w) = 3*w**5 + w**4 + 2*w**3 - w**2 + 5*w + 5. Let q(o) = 6*c(o) + 5*u(o). Let q(g) = 0. What is g?
-2, -1, 0, 1
Suppose 3*k + 5*s = 50, -5*k + 59 = 4*s - 7. Let z = 8 + -5. Determine n so that 3*n**4 + 4*n + 6*n**5 - 5*n**4 - 2*n**2 + 0*n**2 + 4*n**2 - k*n**z = 0.
-1, -2/3, 0, 1
Suppose -3 = 2*u + 11. Let i(v) = -v**3 - 5*v**2 - v. Let k(d) = -2*d**3 - 11*d**2 - 2*d. Let l(y) = u*i(y) + 3*k(y). Factor l(t).
t*(t + 1)**2
Let m = 44 + 17. Suppose -91 = -4*r + m. Factor -3 - 5*n**2 - 40*n**2 - 75*n**3 - 11*n + r*n.
-3*(n + 1)*(5*n - 1)**2
Let p be ((-10)/55)/(-1) - (-2)/(-11). Factor 3/2*j**2 + p*j + 0 + 3/2*j**3.
3*j**2*(j + 1)/2
Let g be ((5/(-20))/((-3)/4))/50. Let n(u) be the third derivative of 0*u - 2/15*u**3 + 0 - 1/60*u**4 + g*u**5 + 3*u**2. Let n(a) = 0. What is a?
-1, 2
Let w(m) be the third derivative of -4*m**7/105 - m**6/30 + 2*m**5/5 + 7*m**4/6 + 4*m**3/3 - 5*m**2. Suppose w(j) = 0. Calculate j.
-1, -1/2, 2
Let g(x) = -23*x**2 - 18*x - 9. Let d(w) = 34*w**2 + 27*w + 13. Let r(k) = 2*k + 1. Let l be r(-3). Let i(y) = l*d(y) - 7*g(y). Factor i(u).
-(3*u + 1)*(3*u + 2)
Suppose 2*b + 15 + 1 = 4*u, -b - 20 = -5*u. Determine y, given that 0*y - 1/5*y**u + 1/5*y**2 + 0 + 1/5*y**5 - 1/5*y**3 = 0.
-1, 0, 1
Factor 0 - 4/3*g**4 - 4*g**2 - 4/3*g - 4*g**3.
-4*g*(g + 1)**3/3
Suppose d + 3*j - 5 = 0, -2*j = 2*d - 3*d + 5. Find x, given that -1/2*x**d + 0*x + 0 + 1/2*x**3 - 1/2*x**2 + 1/2*x**4 = 0.
-1, 0, 1
Determine w, given that w**4 + w**5 - w**2 - 3*w**3 - 4*w**2 + 0*w**5 - 2*w = 0.
-1, 0, 2
Let t(m) = -2*m + 0 - 2 - 3 - 3. Let v be t(-6). Factor 4 - 5*i**3 - 5*i + v*i**3 + 0*i**3 - 2 + 4*i**2.
-(i - 2)*(i - 1)**2
Suppose 2*a + 5*b - 80 = -3*a, -5*a = -4*b - 125. Suppose -a*d + 19*d = -2. Factor -1/2*u - d + 1/2*u**2.
(u - 2)*(u + 1)/2
Suppose 3*a - a + 4 = 0. Let z be (-8)/6*3/a. Solve 4/3*f**4 - f**5 + 0*f + 0 + 0*f**z - 1/3*f**3 = 0.
0, 1/3, 1
Let p(f) = 15*f**2 - 36*f + 17. Let o(h) = 15*h**2 - 36*h + 18. Let k(s) = -5*o(s) + 6*p(s). Factor k(b).
3*(b - 2)*(5*b - 2)
Let a = 4/17 + -199/918. Let u(y) be the third derivative of 0 + 0*y + 0*y**3 - y**2 - a*y**4 + 1/270*y**5. Factor u(o).
2*o*(o - 2)/9
Let c(h) = -8*h + 29. Let f be c(3). Let j(q) be the first derivative of -3/14*q**4 - 2/7*q**3 - 2 - 1/7*q**2 + 0*q - 2/35*q**f. Solve j(z) = 0 for z.
-1, 0
Suppose 6 = v - 4*v, q - 13 = 5*v. Let i be (1/2)/((-5)/(-2)). Factor 1/5*r + i*r**q - 2/5*r**2 + 0.
r*(r - 1)**2/5
Let o(h) be the second derivative of h**10/2520 + h**9/540 + h**8/336 + h**7/630 + 5*h**4/12 + 7*h. Let m(w) be the third derivative of o(w). Factor m(n).
4*n**2*(n + 1)**2*(3*n + 1)
Let b(y) be the second derivative of -y**7/84 + y**5/20 - y**3/12 + 9*y. Find h, given that b(h) = 0.
-1, 0, 1
Let g(k) = -5*k**4 + 5*k**3 + 3*k**2 - 5*k - 1. Let y(f) = 14*f**4 - 14*f**3 - 10*f**2 + 14*f + 4. Let v(r) = -8*g(r) - 3*y(r). Let v(s) = 0. What is s?
-1, 1, 2
Let o(v) be the first derivative of -10*v**3/3 - 15*v**2/4 + 7. Factor o(u).
-5*u*(4*u + 3)/2
Let h = 88/3 + -29. Solve 0*x + 1/3*x**2 + 0 - h*x**3 = 0 for x.
0, 1
Let l(n) be the first derivative of -21*n**4/4 + 23*n**3 + 33*n**2 - 24*n - 7. Factor l(o).
-3*(o - 4)*(o + 1)*(7*o - 2)
Let p(i) be the third derivative of i**6/660 + 2*i**5/165 + i**4/132 - 2*i**3/11 - 3*i**2 + 6*i. Determine f so that p(f) = 0.
-3, -2, 1
Let f(m) be the third derivative of 0 - 1/9*m**3 + 0*m - 5/72*m**4 + 1/360*m**6 - 1/60*m**5 + 1/630*m**7 + 2*m**2. Factor f(q).
(q - 2)*(q + 1)**3/3
What is j in 2*j**4 - 8*j**4 - 4*j + 4*j**2 + 2*j**4 + 4*j**3 = 0?
-1, 0, 1
Let c be 3/(-6)*8/(-2). Determine x, given that 5*x**c - x - 1 + 3*x - 6*x**2 - 4*x = 0.
-1
Let v = 261/4 - 65. Factor -1/2*s + 0 + v*s**2.
s*(s - 2)/4
Let u(o) be the first derivative of 2*o**4/7 + 8*o**3/21 - o**2 + 4*o/7 + 7. Factor u(m).
2*(m + 2)*(2*m - 1)**2/7
Let x = 40 + -37. Let n(v) be the second derivative of -2*v - 1/2*v**2 - 19/80*v**5 + 9/16*v**4 + 0 - 1/3*v**x + 1/30*v**6. Determine z so that n(z) = 0.
-1/4, 1, 2
Suppose 3*t + 2*f + 3*f = 6, 3*t = -3*f + 6. Let k be (2 + t)/(-2 - -5). Factor -k*a + 0 + 14/3*a**2.
2*a*(7*a - 2)/3
Let c(t) be the second derivative of t**4/3 + t**3/6 + 7*t. Let x(r) = -7*r**2 - 2*r. Let k(o) = 5*c(o) + 3*x(o). Factor k(a).
-a*(a + 1)
Let s be 297/(-63) + 4/14 - -5. Factor s + 2/7*j**2 + 6/7*j.
2*(j + 1)*(j + 2)/7
Let r(x) be the third derivative of -x**7/1050 - 3*x**2. Factor r(k).
-k**4/5
Suppose 17 = 4*n - 0*n - o, n = 2*o - 1. Let p = -708/35 - -104/5. Let 2/7*u - 2/7 + 2/7*u**n - 2/7*u**4 + 4/7*u**2 - p*u**3 = 0. What is u?
-1, 1
Let k(b) be the first derivative of b**6/16 - 3*b**5/40 - 15*b**4/32 + b**3/8 + 3*b**2/2 + 3*b/2 + 13. Suppose k(r) = 0. Calculate r.
-1, 2
Let r(k) be the first derivative of -2*k**6/75 - 2*k**5/25 + k**4/5 + 8*k**3/15 - 8*k**2/5 - 5*k - 6. Let b(c) be the first derivative of r(c). Factor b(n).
-4*(n - 1)**2*(n + 2)**2/5
Let u = -248/5 - -50. Factor -2/5 + u*a**2 + 2/5*a - 2/5*a**3.
-2*(a - 1)**2*(a + 1)/5
Factor 0*s + 0 - 4/3*s**2 - 10/3*s**3.
-2*s**2*(5*s + 2)/3
Factor 14/5*q**3 + 2/5 + 16/5*q**2 + 6/5*q**4 + 1/5*q**5 + 9/5*q.
(q + 1)**4*(q + 2)/5
Let q(b) be the first derivative of 4*b**3/3 + 2*b**2 - 8*b - 33. Factor q(y).
4*(y - 1)*(y + 2)
Suppose -7*a = -5*t - 3*a + 12, -5*a = -10. Let -2*r**3 + 2*r**2 + 6 + 4*r - t*r + 4*r + 6*r = 0. Calculate r.
-1, 3
Determine h, given that -3 - 3 + 2*h**2 - 2*h**3 + 4 + 2*h = 0.
-1, 1
Let w(b) = 3*b - 3. Let g be w(2). Factor 3*m - g*m**2 + 8*m**3 - 2*m**3 - 6*m**2.
3*m*(m - 1)*(2*m - 1)
Let l(k) be the second derivative of 0 - 1/150*k**6 + 0*k**2 - 4*k + 0*k**3 - 1/15*k**4 - 1/25*k**5. Find p such that l(p) = 0.
-2, 0
Let p = -48 + 51. Let u(r) be the second derivative of -1/12*r**4 + 0*r**3 + 0 + 0*r**2 + p*r + 1/20*r**5 + 1/30*r**6 - 1/42*r**7. Factor u(h).
-h**2*(h - 1)**2*(h + 1)
Let m(h) be the second derivative of 1/20*h**6 - 1/2*h**3 - 1/8*h**4 - 1/28*h**7 + 9/40*h**5 + 0 - 4*h + 0*h**2. Let m(f) = 0. What is f?
-1, 0, 1, 2
Solve -9/2*b**4 + 1/2*b**5 + 48*b + 18 + 73/2*b**2 + 3/2*b**3 = 0.
-1, 6
Let u(j) = j**2 + 21*j + 84. Let a(f) = -f**2 - 20*f - 83. Let q(c) = -6*a(c) - 4*u(c). Let q(x) = 0. Calculate x.
-9
Find o, given that -1/9*o**2 - 16/9 - 8/9*o = 0.
-4
Let y(a) = -a**2 + 2*a + 2. Let t(w) = -15*w**2 + 33*w + 33. Let u(i) = 2*t(i) - 33*y(i). Factor u(f).
3*f**2
Let p(i) = -15*i**2 - 41*i + 11. Let f(b) be the third derivative of -b**5/20 - b**4/3 + b**3/3 - 6*b**2. Let j(z) = 11*f(z) - 2*p(z). Factor j(d).
-3*d*(d + 2)
Factor -h + h**3 + 509*h**2 - 509*h**2.
h*(h - 1)*(h + 1)
Let k = 2 - 8. Let w be ((-4)/5)/(k/15). Let -2 + 2*h**2 + 0 - 3*h**2 + w*h**2 + h = 0. Calculate h.
-2, 1
Let h(o) be the third derivative of 0*o - 3/40*o**6 - 6*o**2 + 0 + 0*o**4 + 0*o**3 - 1/70*o**7 - 1/10*o**5. Factor h(b).
-3*b**2*(b + 1)*(b + 2)
Let a(s) be the second derivative of s**8/5880 + s**7/2940 - s**6/1260 - s**5/420 - s**3/6 - s. Let d(n) be the second derivative of a(n). Solve d(b) = 0.
-1, 0, 1
Let v(r) be the second derivative of -1/96*r**4 + 0 + 1/1440*r**6 - 1/2*r**3 + r + 0*r**5 + 0*r**2. Let c(w) be the second derivative of v(w). Factor c(m).
(m - 1)*(m + 1)/4
Let n(x) = 2*x**2 - 4*x + 2. Let r be n(2). Suppose r*s - 6 = -3*h + 2, 5 = 5*s. Factor 2 + l**h - 4*l**2 + l**2.
-2*(l - 1)*(l + 1)
Let y(x) be the third derivative of 0 + 1/210*x**5 - 1/21*x**3 + 1/84*x**4 + 0*x - 1/420*x**6 - 9*x**2. Factor y(a).
-2*(a - 1)**2*(a + 1)/7
Let d(m) be the first derivative of -m**3/6 + 7*m**2/2 - 49*m/2 + 16. Factor d(a).
-(a - 7)**2/2
Let q be 4*(-2 - -1) + 17/4. Solve 0*i**2 + 1/2*i**4 + 0*i + 0 + q*i**3 + 1/4*i**5 = 0.
-1, 0
Let q(y) be the third derivative of y**7/210 - 7*y**6/360 - 11*y**5/60 - 11*y**4/24 - 5*y**3/9 + 23*y**2. Determine