actor p(g).
2*g**2*(g - 1)
Let b(t) = 7*t**3 - t**2. Let y be b(1). Factor 2 - 3*j**3 - 4*j**2 + 4 + y*j**3 - 3*j - 2*j**2.
3*(j - 2)*(j - 1)*(j + 1)
Let l(y) = y**3 + 6*y**2 + 4*y - 2. Let z be l(-5). Factor -3/4*d**z + 0 + 3/4*d + 0*d**2.
-3*d*(d - 1)*(d + 1)/4
Let k = -5215/6 - -872. Let d(j) be the second derivative of -35/16*j**5 - k*j**3 - j**2 + 0 + j - 49/120*j**6 - 31/8*j**4. Solve d(c) = 0 for c.
-2, -1, -2/7
Solve -6/7*q**2 + 8/7*q - 4/7*q**3 + 2/7*q**4 + 8/7 = 0 for q.
-1, 2
Let m(b) be the third derivative of -b**8/7560 - b**7/1890 - b**6/1620 - b**3/6 + 4*b**2. Let f(g) be the first derivative of m(g). Factor f(n).
-2*n**2*(n + 1)**2/9
Let f(w) = -5*w + 3*w**2 - 4*w**2 - 1 + 0 - 3. Let t(k) = -2*k**2 - 5*k - 3. Let h(j) = -5*f(j) + 6*t(j). Factor h(c).
-(c + 1)*(7*c - 2)
Factor 48*k**4 + 7*k - 28*k**4 - 5*k**3 - 6 - 21*k**4 - 2*k + 7*k**2.
-(k - 1)**2*(k + 1)*(k + 6)
Let q(p) be the third derivative of -p**5/60 - p**4/8 - 18*p**2. Factor q(w).
-w*(w + 3)
Let v(b) be the first derivative of b**3/12 + b**2 + 4*b - 6. What is u in v(u) = 0?
-4
Suppose 4 + 3 - h**2 - 1 - 5 = 0. What is h?
-1, 1
Let 24*d - 90 - 8/5*d**2 = 0. Calculate d.
15/2
Let r = -36 + 36. Let w(x) be the second derivative of r*x**3 + 0 + 1/4*x**2 - 1/24*x**4 - 2*x. Determine j so that w(j) = 0.
-1, 1
Let q(f) = -13*f**2 + f + 7. Let t(x) = x**3 - x. Let s(i) = -q(i) - 6*t(i). Let u(o) = 4*o**3 - 9*o**2 - 3*o + 5. Let m(a) = 5*s(a) + 7*u(a). Factor m(n).
-2*n*(n - 2)*(n + 1)
Factor -9*v**2 + 7*v - 25*v**3 + 40 - 21*v**2 + 13*v - v**4 - 4*v**4.
-5*(v - 1)*(v + 2)**3
Let v(u) be the first derivative of -2/25*u**5 - 1/5*u**4 + 0*u + 2 + 0*u**2 + 0*u**3. Factor v(n).
-2*n**3*(n + 2)/5
Let y(w) be the second derivative of -w**4/42 - w. Let y(z) = 0. What is z?
0
Solve -4/3*u**3 + 0*u**4 + 2/3*u**5 + 2/3*u + 0*u**2 + 0 = 0.
-1, 0, 1
Let k(m) be the first derivative of -m**4/6 - 2*m**3/9 + 2*m**2/3 + 13. Factor k(x).
-2*x*(x - 1)*(x + 2)/3
Suppose -4*j = 4*l - 8, -3*j + 3 + 3 = -4*l. Suppose -j*d - d + 24 = 0. Suppose 7*i**4 - d*i**4 + i**3 + 0*i**5 + i**2 - i**5 = 0. Calculate i.
-1, 0, 1
Suppose 33/2*f**3 - 5/2*f**4 - 48*f - 16 - 13*f**2 = 0. What is f?
-1, -2/5, 4
Let b = -3 - -6. Suppose -v + 2*f = -4*v + 6, 4*v = b*f + 8. Solve -y + 4 + y + 2*y - 2*y**v = 0 for y.
-1, 2
Let r be ((-14)/35)/(63/(-70)). Factor -r + 2/9*l + 2/9*l**2.
2*(l - 1)*(l + 2)/9
Let o(v) = -v**3 + v**2 + 1. Let t(q) = -6*q**3 + 8*q**2 - 5*q + 10. Let d(a) = -14*o(a) + 2*t(a). Suppose d(p) = 0. What is p?
-3, 1
Suppose -14 - 16 = 5*t. Let k(z) = 4*z**3 + 3*z**2 - z. Let u(v) = -v**2 - v. Let a(x) = t*u(x) + 2*k(x). Suppose a(d) = 0. Calculate d.
-1, -1/2, 0
Let m(x) be the first derivative of x**5/120 - x**4/16 + x**3/6 + 3*x**2/2 + 3. Let d(w) be the second derivative of m(w). Find g, given that d(g) = 0.
1, 2
Let k(y) be the third derivative of -y**5/15 - y**4 - 16*y**3/3 - 17*y**2. Find x, given that k(x) = 0.
-4, -2
Let o = 86 + -80. Let a(b) be the first derivative of 1/4*b**2 + 0*b - 1/3*b**3 + 1/5*b**5 - 1/12*b**o + 1 + 0*b**4. Determine q, given that a(q) = 0.
-1, 0, 1
Let x(j) be the third derivative of -j**7/105 - j**6/60 - 4*j**2. Factor x(i).
-2*i**3*(i + 1)
Factor 4*t - 3*t - 2*t - t**2 + 2.
-(t - 1)*(t + 2)
Let l(i) be the first derivative of -i**6/480 - i**5/120 - i**2/2 + 3. Let r(d) be the second derivative of l(d). Solve r(w) = 0.
-2, 0
Let p = 8 - 43. Let r = p - -35. Find q, given that -4/3*q**4 + 4/3*q**2 + r + 0*q + 2/3*q**5 - 2/3*q**3 = 0.
-1, 0, 1, 2
Let z(f) be the second derivative of f**7/7140 - f**6/1530 - 5*f**3/6 + 8*f. Let a(y) be the second derivative of z(y). Factor a(w).
2*w**2*(w - 2)/17
Let h(l) be the third derivative of 3/40*l**6 - 1/70*l**7 + 0 + 0*l**3 - 2*l**2 + 0*l + 1/8*l**4 - 3/20*l**5. Find m such that h(m) = 0.
0, 1
What is l in -2*l + 0*l**2 - l**3 - l**2 + 2*l**3 + 2*l**2 = 0?
-2, 0, 1
Let i(h) = -h + 9. Let n = -7 + 13. Let q be i(n). Solve q*z - 3*z - z**2 = 0 for z.
0
Let b = 24 - 21. Let c = 76 + -226/3. Factor 4/3*p**4 + c*p - 4/3*p**2 - 2/3*p**5 + 0 + 0*p**b.
-2*p*(p - 1)**3*(p + 1)/3
Let m(w) be the third derivative of w**5/30 - w**4/8 - w**3/3 + 7*w**2. Let h(u) = -3*u**2. Let a(c) = -3*h(c) - 3*m(c). What is s in a(s) = 0?
-2, -1
Let s(r) = 5*r**2 - 8*r + 8. Let p(x) be the first derivative of -4*x**3/3 + 4*x**2 - 8*x - 4. Let u(a) = -6*p(a) - 4*s(a). Determine w so that u(w) = 0.
2
Let n(s) be the first derivative of -2*s**6/3 - 12*s**5/5 - 2*s**4 + 4. Factor n(l).
-4*l**3*(l + 1)*(l + 2)
Suppose -i + 28 = 4*z + 3*i, -2*i = -3*z + 16. Factor -z*c**2 + 3*c**3 - 21 + 21.
3*c**2*(c - 2)
Let u(d) = d**3 - d**2 + 1. Let o(f) = -20*f**4 + 8*f**3 + 20*f**2 - 8*f - 24. Let w(z) = o(z) + 24*u(z). Determine h so that w(h) = 0.
-2/5, 0, 1
Factor 20/3 + 25/3*i + 5/3*i**2.
5*(i + 1)*(i + 4)/3
Suppose -1 = 2*z - 5. Let i(a) = -2*a**3 + 1. Let n = 10 - 4. Let c(x) = x**3 + x**2 + x. Let r(q) = n*c(q) + z*i(q). Solve r(j) = 0 for j.
-1
Suppose 7/5*a**5 + 1/5*a**2 + 3*a**4 + 9/5*a**3 + 0 + 0*a = 0. Calculate a.
-1, -1/7, 0
Let v(k) be the second derivative of k**4/27 + 10*k**3/27 - 4*k. Suppose v(o) = 0. Calculate o.
-5, 0
Suppose -2/3*d**2 + d - 1/3 = 0. What is d?
1/2, 1
Let n be -1 + (-84)/(-16) - 4. Factor 0*t**3 + 0 + t**2 + 0*t - 3/4*t**4 - n*t**5.
-t**2*(t - 1)*(t + 2)**2/4
Suppose -x + 10 = 8. Find j, given that 0*j + 0*j**x + 0 + 2/7*j**3 + 2/7*j**4 = 0.
-1, 0
Let m(b) be the second derivative of b**3/6 + b**2/2 + 4*b. Let i be m(-1). What is y in -2/5*y**2 + 0*y + i = 0?
0
Let f = -1679/3 - -16801/30. Let c(p) be the second derivative of p**3 - 2*p + f*p**5 + 0 + 2/3*p**2 + 5/6*p**4 + 1/15*p**6. Factor c(b).
2*(b + 1)**3*(3*b + 2)/3
Let q be 27/21*(-24)/(-36). Factor 4/7 + q*v - 4/7*v**2.
-2*(v - 2)*(2*v + 1)/7
What is l in 0*l**4 + 14*l**3 - 36*l**3 - 5*l**4 - 10 + 17*l**3 + 5*l + 15*l**2 = 0?
-2, -1, 1
Let g(q) = 10*q**4 - 10*q**3 + 16*q**2 - 16*q. Let b(v) = -3*v**4 + 3*v**3 - 5*v**2 + 5*v. Let l(y) = 16*b(y) + 5*g(y). Solve l(u) = 0 for u.
0, 1
Let h(q) = -8*q**2 + 132*q - 192. Let f(y) = 3*y**2 - 53*y + 77. Let z(d) = 12*f(d) + 5*h(d). Factor z(k).
-4*(k - 3)**2
Let o(y) be the first derivative of y**6/30 - y**4/10 + y**2/10 - 43. Factor o(n).
n*(n - 1)**2*(n + 1)**2/5
Determine y, given that -36/5 - 4/5*y**2 + 24/5*y = 0.
3
Let h = 13 + -10. Factor -h*r + 6*r + 12*r**2 - 15*r**2.
-3*r*(r - 1)
Suppose -4*v = v - 10. Let d be (v*4)/(2 - -1). Solve 8/3 + 2/3*f**2 + d*f = 0 for f.
-2
Suppose -7/5*b**2 + 2/5 - 3/5*b**3 + b**4 + 3/5*b = 0. Calculate b.
-1, -2/5, 1
Let l = 629/7 + -89. Suppose 4/7*k + l - 2/7*k**2 = 0. Calculate k.
-1, 3
Let l(r) be the first derivative of -8/25*r**5 + 0*r - 1 + 0*r**2 - 1/15*r**6 - 1/2*r**4 - 4/15*r**3. Factor l(y).
-2*y**2*(y + 1)**2*(y + 2)/5
Let p(i) be the third derivative of -i**7/175 + i**6/60 - i**5/150 - i**4/60 + 3*i**2. Determine a so that p(a) = 0.
-1/3, 0, 1
Factor 0 + 1/3*n - 1/3*n**3 + 0*n**2.
-n*(n - 1)*(n + 1)/3
Let x(u) = -5*u**4 + u**3 + u**2 - u + 4. Let l(z) = 4*z**4 - z**2 - 3. Let c(r) = 4*l(r) + 3*x(r). Suppose c(w) = 0. What is w?
-3, -1, 0, 1
Let t(d) = 4*d**3 - 1. Let k be t(1). Suppose 4*v**k + 29*v**4 + 0*v**2 - 2*v**2 - 31*v**4 = 0. What is v?
0, 1
Suppose -20 = -k - 4*k. Let m be (-4)/(-14) + k/(-14). Solve 0 + 0*w + 2/3*w**3 + m*w**2 + 2/3*w**4 = 0.
-1, 0
Let o = 48/65 + -7/13. Solve -3/5*c**2 + 3/5*c + o*c**3 - 1/5 = 0.
1
Let h be (0 - 2)*5*390/(-1040). Factor -3/2*w**3 + 3/2 - 3/4*w - h*w**2.
-3*(w + 1)*(w + 2)*(2*w - 1)/4
Let x = -350 + 5609/16. Let v = x + -1/16. Find u, given that -1/2*u + 1 - v*u**2 = 0.
-2, 1
Let z be (5 - 2)*(-16)/(-6). Let v be (5/((-15)/(-6)))/z. Factor 0 + 0*i + 1/4*i**3 - v*i**2.
i**2*(i - 1)/4
Let q(z) be the second derivative of z**9/756 - z**8/280 + z**7/420 - z**3/6 + z. Let g(t) be the second derivative of q(t). Solve g(x) = 0 for x.
0, 1/2, 1
Let g(w) be the first derivative of 1/5*w**2 - 1/15*w**6 + 0*w + 0*w**4 + 3 - 4/25*w**5 + 4/15*w**3. Determine j so that g(j) = 0.
-1, 0, 1
Let t be 0 + (-6 - -3) - -3. Let v be 0/(-2) - t/1. Find w, given that v*w + 0*w**2 - 2 + w**3 - 2*w - 4*w**2 + 7*w = 0.
1, 2
Let x(y) = -2*y**3 + 2*y - 3. Let k(t) = 9*t**3 - 9*t + 13. Let c = -62 - -36. Let r(d) = c*x(d) - 6*k(d). Factor r(u).
-2*u*(u - 1)*(u + 1)
