9 + 11*s**5/30 - s**4/24 - 13*s**3/18 + 5*s**2/12 + s/3 + 12. Solve a(q) = 0 for q.
-1, -1/4, 1, 2
Let r(j) be the first derivative of j**4/40 + 2*j**3/15 + j**2/4 + j/5 + 33. Factor r(a).
(a + 1)**2*(a + 2)/10
Let z(n) = -4*n**2 + 11*n - 10. Let a(w) = 4*w**2 - 12*w + 12. Let m(k) = 3*a(k) + 4*z(k). What is i in m(i) = 0?
1
Let f(u) = -u**3 - 11*u**2 + 17*u. Let m(k) = 3*k**3 + 27*k**2 - 42*k. Let z(g) = -12*f(g) - 5*m(g). Factor z(q).
-3*q*(q - 1)*(q + 2)
Let h(n) = 4*n**3 - 6*n**2 - 6*n + 2. Let g(u) = 20*u**3 - 31*u**2 - 29*u + 11. Let i(l) = -2*g(l) + 11*h(l). Factor i(y).
4*y*(y - 2)*(y + 1)
Let k(b) = -2*b - 5. Let i be k(-6). Let a be (-5 + i)/(0 + 1). Factor 2/3*w**3 + 4/3 - 2/3*w - 4/3*w**a.
2*(w - 2)*(w - 1)*(w + 1)/3
Let q(y) be the first derivative of -3*y**4/8 - 3*y**3/2 - 9*y**2/4 - 3*y/2 + 2. Let q(g) = 0. What is g?
-1
Let n be 55/35 + (-6)/(-14). Factor 1/3*h**n + 0 - 2/3*h.
h*(h - 2)/3
Let d(i) be the first derivative of 169*i**4/2 - 104*i**3/3 + 4*i**2 + 14. Factor d(k).
2*k*(13*k - 2)**2
Let g(y) be the second derivative of y**4/24 + y**3/4 + y**2/2 - 2*y. Factor g(z).
(z + 1)*(z + 2)/2
Let j(g) = 27*g**3 - 64*g**2 + 35*g - 2. Let w(u) = -u**2 - u + 1. Let f(q) = -j(q) + 4*w(q). What is y in f(y) = 0?
2/9, 1
Let -2/3*p - 4/3*p**2 + 4/3 + 2/3*p**3 = 0. What is p?
-1, 1, 2
Let y(f) be the second derivative of f**4/90 + f**3/15 + 2*f**2/15 + 8*f. Factor y(g).
2*(g + 1)*(g + 2)/15
Let h = -207/4 - -52. Let q(s) be the first derivative of s**3 + 1 + 3/2*s**2 + s + h*s**4. Let q(j) = 0. What is j?
-1
Let s(a) = 5*a**2 + 3*a - 6. Suppose -d = 4*t + 2*d - 7, 0 = -4*t + 5*d - 33. Let i(r) = -6*r**2 - 3*r + 6. Let o(c) = t*i(c) - 3*s(c). Factor o(m).
-3*(m - 1)*(m + 2)
Let a(r) be the first derivative of 1/70*r**5 - 1/21*r**3 + r - 1/7*r**2 + 2 + 1/42*r**4. Let y(x) be the first derivative of a(x). Solve y(v) = 0.
-1, 1
Let c(k) = 92*k**4 - 8*k**3 - 92*k**2 + 20*k + 12. Let z(b) = 37*b**4 - 3*b**3 - 37*b**2 + 8*b + 5. Let m(f) = 5*c(f) - 12*z(f). Determine g so that m(g) = 0.
-1, 0, 1/4, 1
Let d(i) be the first derivative of i**7/84 - i**6/30 + i**5/40 - 2*i + 3. Let r(h) be the first derivative of d(h). Factor r(g).
g**3*(g - 1)**2/2
Suppose -4/5*m**5 - 8/5*m**2 - 8/5*m**3 + 12/5*m**4 + 12/5*m - 4/5 = 0. Calculate m.
-1, 1
Let z(w) be the first derivative of 3*w**3 + 3/2*w**2 + 0*w - 9/5*w**5 - 3/4*w**4 + 4. Let z(c) = 0. What is c?
-1, -1/3, 0, 1
Let v(y) = 13*y. Let u be v(1). Determine f so that 3*f**2 + 11*f**3 - 4*f - 15*f**2 + 3*f**3 + u*f**3 = 0.
-2/9, 0, 2/3
Let l(m) be the second derivative of m**8/336 - m**7/120 + m**6/180 + m**3/6 - 4*m. Let r(h) be the second derivative of l(h). Suppose r(y) = 0. What is y?
0, 2/5, 1
Let z(c) be the second derivative of 4*c**6/165 + 3*c**5/110 - c**4/66 + 14*c. Determine q so that z(q) = 0.
-1, 0, 1/4
Let m be (-30)/(-6)*4*3/5. Factor -9/2*p**2 + 6 - 27/2*p**3 + m*p.
-3*(p - 1)*(3*p + 2)**2/2
Suppose -1/2*u**2 + 1/2 - 1/2*u**3 + 1/2*u = 0. Calculate u.
-1, 1
Let l(y) be the second derivative of -4*y + 0*y**3 - 1/24*y**4 + 0*y**2 + 1/60*y**6 + 0 - 1/28*y**7 + 3/40*y**5. Let l(c) = 0. Calculate c.
-1, 0, 1/3, 1
Let y(v) be the first derivative of 5*v**2 - 1 - 16*v + v**2 + 4*v + 3*v**3. Factor y(r).
3*(r + 2)*(3*r - 2)
Find i such that 1/3*i**3 + 0*i**2 + 0 - 1/3*i = 0.
-1, 0, 1
Let m(c) be the first derivative of 2/3*c - 1/4*c**4 - 1/9*c**3 - 2 + 1/2*c**2 - 1/15*c**5. Factor m(p).
-(p - 1)*(p + 1)**2*(p + 2)/3
Let s be (-1 + 4)/((-45)/30). Let m be 1/s + 114/84. Determine d, given that 10/7*d**2 - m*d**5 - 10/7*d**4 + 0 + 10/7*d**3 - 4/7*d = 0.
-2, -1, 0, 1/3, 1
Let n(g) be the second derivative of -g**4/48 - g**3/12 - g**2/8 + 5*g. Factor n(h).
-(h + 1)**2/4
Suppose -2*h + 6*h = 20. Suppose -2*b = 1 - h. Factor 2*t - b*t**3 + 3*t**2 - 3 - 1 + t**2.
-2*(t - 2)*(t - 1)*(t + 1)
Let q(u) = -68*u + 8*u**3 - 9*u**4 + u**2 + 68*u. Let a(j) = 4*j**4 - 4*j**3. Let n = -8 + 6. Let m(r) = n*q(r) - 5*a(r). Factor m(s).
-2*s**2*(s - 1)**2
Let w(g) be the first derivative of -g**3/9 + g**2/6 - 10. Factor w(r).
-r*(r - 1)/3
Suppose 4*x - 32 = 5*p, p = -x - 4*p - 17. Suppose 6*f - 2*f - 2*f**x - 3*f + f**3 = 0. Calculate f.
-1, 0, 1
Let l = 98 - 684/7. Find g such that -l*g**3 + 2/7 - 2/7*g**2 + 2/7*g = 0.
-1, 1
Suppose -5*c - 4*g + 18 = -14, 5*c + 3*g = 29. Factor -7*h**4 - 11*h**c + 21*h**4 - 9*h**3 + 9*h - 3*h**2.
3*h*(h - 3)*(h - 1)*(h + 1)
Let t(n) be the third derivative of -3*n**2 + 1/60*n**5 - 1/6*n**3 - 1/24*n**4 + 1/120*n**6 + 0*n + 0. Factor t(j).
(j - 1)*(j + 1)**2
Determine a, given that -72*a**2 - 24*a**3 + 10 + 0*a**4 - 96*a - 12 - 46 - 3*a**4 = 0.
-2
Let m be 1/(-2) + (-90)/(-20). Factor 4*z**m - 4*z**2 + 14*z - 35*z + 8*z**3 + 13*z.
4*z*(z - 1)*(z + 1)*(z + 2)
Let m(o) be the first derivative of 2 - 2/3*o**2 - 2/9*o**3 + 1/6*o**4 + 0*o. Factor m(u).
2*u*(u - 2)*(u + 1)/3
Let f(c) be the first derivative of c**7/126 - c**6/45 + c**5/60 + 2*c - 2. Let p(q) be the first derivative of f(q). Let p(r) = 0. What is r?
0, 1
Let l(v) be the second derivative of v**8/80 + 9*v**7/280 - v**6/24 - 9*v**5/40 - v**4/4 - v**3/3 + 3*v. Let w(h) be the second derivative of l(h). Factor w(p).
3*(p - 1)*(p + 1)**2*(7*p + 2)
Let f(x) = -x**3 - 4*x**2 + 6*x + 4. Let r be f(-5). Let h be (-45)/12 - -3 - r. Factor -h*s**4 - 1/4 + 0*s + 0*s**3 + 1/2*s**2.
-(s - 1)**2*(s + 1)**2/4
Let h = 87 + -85. Let i be (-5)/10 - (0 + -1). Factor 1/2*a**h + i + a.
(a + 1)**2/2
Find y, given that y - 2/3*y**2 + 2/3*y**4 + 0 - 4/3*y**3 + 1/3*y**5 = 0.
-3, -1, 0, 1
Let w = 2 + 16. Let -34*k + w*k + k**2 + 17*k = 0. Calculate k.
-1, 0
Let v(n) = -5*n**3 - 30*n**2 - 50*n + 5. Let p(i) = -i + 1. Let q(d) = -5*p(d) + v(d). What is l in q(l) = 0?
-3, 0
Let l = 7 + -3. Let -g**2 + 0 - 3*g**3 + 0*g + 15/4*g**l + 25/2*g**5 = 0. Calculate g.
-2/5, 0, 1/2
Let g(d) be the third derivative of 0 + 1/480*d**6 + 0*d + d**2 - 1/120*d**5 + 1/96*d**4 + 0*d**3. Find j such that g(j) = 0.
0, 1
Let x be 4*((-4)/(-50))/((-1)/(-5)). Factor 2/5*i**2 + 8/5*i + x.
2*(i + 2)**2/5
Let i be ((-8)/28)/(2/(-14)). Let t be (-1 - (-2 - -1)) + i. Factor 6*v**3 + 4*v**4 + t*v**2 + 5*v**4 - 3*v**4 + 2*v**5.
2*v**2*(v + 1)**3
Let n(t) be the third derivative of -t**6/30 - t**5/5 + t**4/6 + 2*t**3 - 33*t**2. What is r in n(r) = 0?
-3, -1, 1
What is p in 4/5*p**2 - 1/5*p**4 - 2/5*p + 2/5*p**3 - 3/5 = 0?
-1, 1, 3
Let f(p) = -5*p - 4. Let s be f(-3). Let d = -14 + 19. Let t**2 - 4 - 3*t - d*t + 10*t**3 - s*t**3 - 6*t**2 = 0. Calculate t.
-2, -1
Let a(t) be the third derivative of -13*t**5/36 - 5*t**4/36 - 15*t**2. Suppose a(m) = 0. Calculate m.
-2/13, 0
Let q(a) be the first derivative of -a**7/56 + a**6/10 - 3*a**5/16 + a**4/8 + 9*a - 7. Let g(t) be the first derivative of q(t). Suppose g(u) = 0. What is u?
0, 1, 2
Let x(r) be the second derivative of -2/27*r**3 - 4*r + 0 - 1/54*r**4 - 1/9*r**2. Factor x(b).
-2*(b + 1)**2/9
Let z(i) = 10*i**4 + 18*i**3 + 30*i**2 + 46*i + 6. Let a(s) = s**3 + s**2 - s. Let g(x) = -36*a(x) - 2*z(x). Factor g(b).
-4*(b + 1)**3*(5*b + 3)
Suppose 2*l - 15 = 5*c, -11 + 2 = -5*l + 3*c. Let l - 3/2*w**3 - w - 9/2*w**2 + 7*w**4 = 0. Calculate w.
-1/2, -2/7, 0, 1
Let i(k) be the first derivative of -k**5/15 - k**4/6 - k**3/9 + 2. Solve i(a) = 0.
-1, 0
Let k be (3/2)/((-6)/(-20)). Suppose -k*h - 3*h**3 + 5*h + 2*h + h**3 = 0. What is h?
-1, 0, 1
Let p(a) be the second derivative of a**5/20 - a**4/12 + 7*a. Factor p(r).
r**2*(r - 1)
Let n(w) be the first derivative of 4/27*w**3 + 2 - w - 1/54*w**4 - 4/9*w**2. Let h(z) be the first derivative of n(z). Factor h(a).
-2*(a - 2)**2/9
Let q(b) be the first derivative of 2*b**5/15 - 2*b**3/3 + 2*b**2/3 - 56. Find y such that q(y) = 0.
-2, 0, 1
Let f(r) be the first derivative of 0*r**2 - 1/2*r**6 + 0*r**3 - 4 + 3/4*r**4 + 0*r**5 + 0*r. Factor f(x).
-3*x**3*(x - 1)*(x + 1)
Determine c, given that -6/5 - 7/5*c**4 + 7*c - 59/5*c**2 + 37/5*c**3 = 0.
2/7, 1, 3
Let v be 7 - 5 - 1/(-1). Let q(j) be the first derivative of -3 - 2*j**2 + 1/3*j**v + 4*j. Determine m, given that q(m) = 0.
2
Let v = 16 - 11. Factor -5*a - 2*a**3 - a + v*a + 2*a - a**2.
-a*(a + 1)*(2*a - 1)
Let k be (4/(-2) - -3)*1/3. Factor 0 + 1/3*g - k*g**2.
-g*(g - 1)/3
Let z(c) be the first derivative of c**7/2100 + c**3 - 4. Let u(m) be