actor c(q).
q*(q - 4)
Let -15*j**3 - 147 + 147 - 6*j**4 + 20*j + j**4 = 0. Calculate j.
-2, 0, 1
Let z(g) be the second derivative of g**6/30 + g**5/20 - 4*g. Factor z(c).
c**3*(c + 1)
Determine s, given that -11/3*s - 1 + 4/3*s**2 = 0.
-1/4, 3
Let p(y) be the third derivative of -y**5/45 - y**4/6 + 20*y**3/9 - 36*y**2. Factor p(q).
-4*(q - 2)*(q + 5)/3
Let j be 2998/(-1746) + (-24)/(-16). Let v = 1/194 - j. Factor -4/9*m**3 + 8/9*m - 2/3*m**2 + 8/9 + v*m**4.
2*(m - 2)**2*(m + 1)**2/9
Suppose 2*k = 5*u + 16, -5*u + 5 = -k + 6*k. Solve 0*g + 3*g**k + 5*g**2 - 20*g**2 + 9*g**4 - 3*g + 6 = 0 for g.
-1, 2/3, 1
Let h(p) = 3*p**3 + 31*p**2 + 23*p. Let x(i) = -5*i**3 - 61*i**2 - 47*i. Let r(z) = 7*h(z) + 3*x(z). Determine f so that r(f) = 0.
-5, -2/3, 0
Let f = 991 + -991. Factor f + 0*m - 6/7*m**4 + 0*m**2 - 3/7*m**3 - 3/7*m**5.
-3*m**3*(m + 1)**2/7
Let i(j) be the first derivative of 1/8*j**2 - 1/6*j**3 + 3 + 1/16*j**4 + 0*j. Let i(w) = 0. What is w?
0, 1
Let g(k) be the third derivative of 5*k**8/336 + k**7/42 - k**6/24 - k**5/12 + 25*k**2. Factor g(z).
5*z**2*(z - 1)*(z + 1)**2
Let c(l) = l**3 - l**2. Let h(b) = -4*b**3 - 6*b**2 - 10*b - 4. Let d = 8 + -6. Let s = 0 - d. Let z(f) = s*c(f) - h(f). Factor z(t).
2*(t + 1)**2*(t + 2)
Let y be (1 + 3)*(-2)/(-4). Factor -a**3 + 3*a + a**y + 2*a - 5*a.
-a**2*(a - 1)
Let h be 0/(-3 + 0*(-5)/10). Let k = 26/87 - -1/29. Factor -2/3*l**2 + h + 0*l**3 - k*l + 2/3*l**4 + 1/3*l**5.
l*(l - 1)*(l + 1)**3/3
Suppose 45*y = 28*y. Factor -2/7*q**3 - 4/7*q**2 + 0*q + y.
-2*q**2*(q + 2)/7
Let q(p) = 3*p**3 - 18*p**2 + 4*p + 11. Let l(w) = w**3 - 9*w**2 + 2*w + 6. Let n(s) = 11*l(s) - 6*q(s). Factor n(t).
-t*(t - 1)*(7*t - 2)
Factor -20*f**4 + 17*f**5 - 13*f**5 + f**3 + 31*f**3 - 16*f**2.
4*f**2*(f - 2)**2*(f - 1)
Let x = -15 - -13. Let s be 6 + -4 + x + 4. Factor 1/2*c + 0 - 1/2*c**2 - 1/2*c**3 + 1/2*c**s.
c*(c - 1)**2*(c + 1)/2
Let n(o) = -5*o**2 + 8*o - 3. Let i(r) = -r**2 + 1. Let c(g) = i(g) - n(g). Suppose c(f) = 0. Calculate f.
1
Let m(k) = k**4 - k**2 - k - 1. Let q(c) = 3*c**4 - 6*c**2 - 2*c - 2. Let u(s) = -2*m(s) + q(s). Determine t, given that u(t) = 0.
-2, 0, 2
Let v(b) be the second derivative of 1/120*b**6 + 0*b**5 - 2*b - 1/48*b**4 + 0 + 0*b**2 + 0*b**3. Determine d so that v(d) = 0.
-1, 0, 1
Determine y, given that y - 4*y**2 + 0 + 3*y**2 + 2 = 0.
-1, 2
Let w(a) be the third derivative of 1/120*a**6 + 0*a**3 - 1/180*a**5 + 0*a + 0 + 0*a**4 + 2*a**2 + 1/1008*a**8 - 1/210*a**7. Determine g, given that w(g) = 0.
0, 1
Let v(b) be the third derivative of -b**6/60 + b**5/30 + b**4/6 - 24*b**2. Determine o, given that v(o) = 0.
-1, 0, 2
Let d(q) be the third derivative of q**8/60480 - q**6/2160 - q**5/12 + 3*q**2. Let o(z) be the third derivative of d(z). Factor o(x).
(x - 1)*(x + 1)/3
Let t(l) be the second derivative of -l**6/15 + 3*l**5/10 - 4*l**3/3 + 25*l. Solve t(k) = 0 for k.
-1, 0, 2
Let c = 77/5 + -269/35. Let 8/7 + c*d**3 - 30/7*d**2 - 32/7*d = 0. Calculate d.
-2/3, 2/9, 1
Let f(a) be the first derivative of -7*a**4 - 8*a**3/3 + 14*a**2 + 8*a - 14. Factor f(b).
-4*(b - 1)*(b + 1)*(7*b + 2)
Let n(f) be the second derivative of 3/80*f**5 + 0 - 1/6*f**4 + 1/4*f**2 + 1/8*f**3 - f. Suppose n(p) = 0. What is p?
-1/3, 1, 2
Factor 6/19*s + 2/19*s**3 + 0 - 8/19*s**2.
2*s*(s - 3)*(s - 1)/19
Let y(l) = -l**3 + l**2 + l - 1. Let u(b) = 28*b**3 - 20*b**2 - 28*b + 20. Let w(n) = -u(n) - 24*y(n). Suppose w(d) = 0. Calculate d.
-1, 1
Suppose 0 = -4*z - 3*g - 4 + 73, -4*z = -3*g - 99. Let x be 2*(-6)/z*-1. Solve -2/7*r**4 + x*r - 4/7*r**3 + 0*r**2 + 2/7 = 0 for r.
-1, 1
Suppose -15*i = -16*i. Let z(y) be the second derivative of 1/30*y**5 + 0*y**4 - 1/9*y**3 - 1/6*y**2 + i + y + 1/90*y**6. What is b in z(b) = 0?
-1, 1
Let z(n) be the first derivative of n**4 + 4*n**3 + 6*n**2 + 4*n - 19. Suppose z(r) = 0. Calculate r.
-1
Let j(z) be the second derivative of -z**6/105 + z**5/14 - 4*z**4/21 + 4*z**3/21 + z. Factor j(w).
-2*w*(w - 2)**2*(w - 1)/7
Let z(a) be the third derivative of a**5/150 + a**4/6 - 46*a**2. Factor z(h).
2*h*(h + 10)/5
Factor 4*k + 10/3 + 2/3*k**2.
2*(k + 1)*(k + 5)/3
Let c(u) be the second derivative of u**6/600 - 3*u**5/200 + u**4/20 + 7*u**3/6 - 5*u. Let m(f) be the second derivative of c(f). Let m(a) = 0. What is a?
1, 2
Let y(k) be the second derivative of -k**5/150 - k**4/45 - 2*k. Factor y(g).
-2*g**2*(g + 2)/15
Let o(k) = 7*k**2 + 2*k + 3. Let n be o(-2). Solve 5*y**4 + 25 - 3*y**2 - 7*y + 6*y**3 + y**3 - n = 0.
-1, -2/5, 1
Let l(b) be the second derivative of -5*b**7/14 + 13*b**6/15 - 13*b**5/20 + b**4/6 - 4*b. Let l(a) = 0. What is a?
0, 1/3, 2/5, 1
Let l be 1 - 1 - (10 - 12). Factor 2 - 13*g**3 - g**2 - 4*g**l + 9*g**3 + 7*g.
-(g - 1)*(g + 2)*(4*g + 1)
Let j be 4/(-14)*(-17)/34. Factor 0 + 0*w + 2/7*w**3 - 1/7*w**4 - j*w**2.
-w**2*(w - 1)**2/7
Let g(y) be the third derivative of y**5/90 + y**4/36 - 2*y**3/9 + 8*y**2. Factor g(n).
2*(n - 1)*(n + 2)/3
Let a(d) be the third derivative of 0*d + 1/12*d**4 + 0 - 1/10*d**5 + 0*d**3 + 4*d**2. Factor a(k).
-2*k*(3*k - 1)
Let y(i) = 2*i**2 + 13*i + 3. Let w(l) = -3 + l - 3 + 3 + 2. Let z(v) = -5*w(v) + y(v). Find m such that z(m) = 0.
-2
Let h = -3 + 7. Let s(x) be the third derivative of 0 + 2*x**2 + 0*x**3 + 0*x**5 + 0*x**h + 1/105*x**7 - 1/60*x**6 + 0*x. Let s(b) = 0. What is b?
0, 1
Let w = -1 - 1. Let a(d) = d**4 + 8*d**3 + 3*d**2 - 6*d - 6. Let v(p) = -p**4 + p**2 + p - 1. Let m(r) = w*v(r) + a(r). What is l in m(l) = 0?
-2, -1, -2/3, 1
Let k + 1/3*k**2 - 10/3 = 0. Calculate k.
-5, 2
Suppose -3*w = p - 6*w, -w = 3*p. Let d(s) be the third derivative of -1/90*s**5 - s**2 + p*s**3 + 0*s + 0 - 1/54*s**4. Solve d(i) = 0.
-2/3, 0
Let z be ((-20)/8 - -3)*0. Let f(r) be the third derivative of 0*r**3 - 4*r**2 + 0*r + 7/120*r**6 + 3/20*r**5 + z + 1/12*r**4. Factor f(b).
b*(b + 1)*(7*b + 2)
Factor 0 - 3/2*y**3 - 3*y + 9/2*y**2.
-3*y*(y - 2)*(y - 1)/2
Let k(p) be the third derivative of 0*p**3 - 3/245*p**7 + 1/35*p**6 - 2/105*p**5 + 2*p**2 + 0*p + 0*p**4 + 0. Determine x so that k(x) = 0.
0, 2/3
What is p in -19/4*p**2 + 11/4*p**4 + 3/4*p**5 - 1/4*p**3 + 3/2*p + 0 = 0?
-3, -2, 0, 1/3, 1
Find t such that -2/5*t**3 - 2/5*t + 0 + 4/5*t**2 = 0.
0, 1
Let x(v) be the first derivative of -v**4/16 + v**3/12 + v**2/2 - v - 9. What is j in x(j) = 0?
-2, 1, 2
Let x(s) be the second derivative of 5*s**5/4 + 10*s**4/3 + 5*s**3/6 - 5*s**2 - 14*s. Suppose x(n) = 0. What is n?
-1, 2/5
Let y(h) be the second derivative of 0*h**3 - 1/45*h**5 + 1/54*h**4 + 0*h**2 + 1/135*h**6 + 0 + 6*h. Solve y(v) = 0 for v.
0, 1
Let h(w) be the first derivative of w**5/50 + w**4/6 + 8*w**3/15 + 4*w**2/5 - 2*w + 2. Let o(u) be the first derivative of h(u). Factor o(c).
2*(c + 1)*(c + 2)**2/5
Let t(n) = n**2 - 3*n - 1. Let a be t(-2). Factor -a*b - 9*b**2 + 2*b + b - b**3 - 2*b**3.
-3*b*(b + 1)*(b + 2)
Let r(v) be the second derivative of 0*v**2 + 0 - 1/6*v**4 + 1/3*v**3 - 2*v. Suppose r(g) = 0. Calculate g.
0, 1
Suppose 1/4*q - 3/2*q**5 - 13/4*q**4 + 0 - 7/4*q**3 + 1/4*q**2 = 0. What is q?
-1, -1/2, 0, 1/3
Let t(f) = -f**4 - 14*f**3 - 16*f**2 - 14*f - 1. Let m(v) = 12*v**4 + 183*v**3 + 207*v**2 + 183*v + 12. Let l(k) = -2*m(k) - 27*t(k). Find z such that l(z) = 0.
-1
Let c(v) be the third derivative of 0*v**4 + 0 + 0*v**3 - v**2 + 0*v + 1/300*v**6 + 0*v**5. Factor c(u).
2*u**3/5
Let f be 5/3*18*(-4)/(-80). Factor -f*j**2 + 0 + 3*j.
-3*j*(j - 2)/2
What is i in -5/4*i**2 + 5/2*i - 5/4 = 0?
1
Suppose 2*w - w = 6*w. Let m(t) be the third derivative of 0 - 1/28*t**4 - t**2 - 1/21*t**3 - 1/70*t**5 - 1/420*t**6 + w*t. Suppose m(n) = 0. What is n?
-1
Let o(c) be the third derivative of -c**5/60 - c**4/24 - c**2. Find n such that o(n) = 0.
-1, 0
Let p(j) be the third derivative of 0*j + 0 - 1/10*j**5 + 1/12*j**4 - 3*j**2 + 0*j**3 - 1/15*j**6. Factor p(d).
-2*d*(d + 1)*(4*d - 1)
Let 5/2*o**2 + 1/2*o**3 + 0 + 3/2*o - 1/2*o**4 = 0. Calculate o.
-1, 0, 3
Let k(i) be the third derivative of -1/60*i**6 - 5/12*i**4 + 3*i**2 + 2/3*i**3 + 0*i + 2/15*i**5 + 0. Factor k(u).
-2*(u - 2)*(u - 1)**2
Let s(r) = 10*r**4 - 30*r**3 + 105*r - 95. Let b(i) = -11*i**4 + 31*i**3 + i**2 - 105*i + 96. Let g(c) = -5*b(c) - 6*s(c). Factor g(u).
-5*(u - 3)**2*(u - 1)*(u + 2)
Let m(u) be the third derivative of u**5/20 -