/7*y**2 + 0.
-2*y*(y + 1)*(y + 2)/7
Solve -8/9*g**3 + 4/9*g + 0*g**2 + 0*g**4 + 0 + 4/9*g**5 = 0.
-1, 0, 1
Let k(w) be the second derivative of w**6/25 + 6*w**5/25 + 3*w**4/10 - 4*w**3/5 - 12*w**2/5 - 9*w + 3. Factor k(c).
6*(c - 1)*(c + 1)*(c + 2)**2/5
Let s(j) be the first derivative of -2*j**5/15 - j**4/2 - 2*j**3/3 - j**2/3 + 3. Suppose s(b) = 0. Calculate b.
-1, 0
Let 0 - h**2 + 5/2*h**3 + 3/2*h**4 + 0*h = 0. What is h?
-2, 0, 1/3
Let b = -15 - -47/3. Let y(j) be the first derivative of 0*j**4 + 1 + 0*j + 0*j**2 + 2/5*j**5 - b*j**3. Factor y(l).
2*l**2*(l - 1)*(l + 1)
Let y = 241 + -239. Solve -2/3*x**y + 2/3*x**3 + 2/3 - 2/3*x = 0.
-1, 1
Let m be ((-1 - 1) + -1)/(-1). Let v = 92 + -642/7. Solve 2/7 + v*t**m + 6/7*t + 6/7*t**2 = 0.
-1
Let n(o) be the first derivative of o**7/2100 - o**5/300 + o**3 + 3. Let d(s) be the third derivative of n(s). Factor d(h).
2*h*(h - 1)*(h + 1)/5
Let z(c) = -8*c**2 - 7*c - 2. Let b(f) = -65*f**2 - 55*f - 15. Let l(q) = -3*b(q) + 25*z(q). Let l(a) = 0. Calculate a.
-1
Factor 3/2*g - 1/2*g**2 + 2.
-(g - 4)*(g + 1)/2
Suppose y - 16 = 5*b + 5*y, -2*b = 5*y + 20. Factor b*m + 0 - 1/4*m**2 + 1/4*m**3.
m**2*(m - 1)/4
Let p(j) be the second derivative of 2*j**7/21 - 8*j**6/15 + j**5 - 2*j**4/3 + 9*j. Factor p(w).
4*w**2*(w - 2)*(w - 1)**2
Let 26/19*f - 8/19*f**2 - 12/19*f**3 - 12/19 + 4/19*f**4 + 2/19*f**5 = 0. What is f?
-3, -2, 1
Let f = -8 + 5. Let r be -3 + (-19)/f + -3. Solve 0*m + 0 + r*m**2 = 0 for m.
0
Let d = 528/95 + -60/19. Let q(f) be the first derivative of -10*f**4 + 3*f**6 + 0*f**2 + 0*f + d*f**5 + 2 + 16/3*f**3. Factor q(h).
2*h**2*(h + 2)*(3*h - 2)**2
Let g = -20 - -28. Let d = 11 - g. What is m in -m - 5*m**4 + m**5 + 0*m - 10*m**2 + 10*m**d - 1 + 6*m = 0?
1
Let f(m) = -m**2 + 4*m + 3. Let d be f(4). Determine j so that j - 25*j**4 + 4 + 19*j - 3*j**d - 17*j**3 + 21*j**2 = 0.
-1, -2/5, 1
Suppose -4*r + k + 21 = 0, -4*r + 4*k = r - 40. Suppose -2*b - 3*x + 3 = -13, -3*x + r = -4*b. Determine z, given that 0 - 1/2*z**b - 1/2*z = 0.
-1, 0
Suppose 0 + 3/2*u - 3*u**3 + 0*u**2 + 0*u**4 + 3/2*u**5 = 0. What is u?
-1, 0, 1
Let n(m) be the second derivative of 0*m**4 + m**2 + 1/240*m**5 - 1/24*m**3 - m + 0. Let w(u) be the first derivative of n(u). Determine i, given that w(i) = 0.
-1, 1
Let w be (-2)/((-4)/(-6)) - -4. Let 0 - 194*r**2 - 190*r**4 - w + 45*r**5 + 278*r**3 + 64*r + 5*r**5 - 7 = 0. What is r?
2/5, 1
Suppose 0 = -b - 2*z - 1, -2*b - 2*z + 2 = 0. Let f(l) be the second derivative of 2/15*l**b + 0 - 2*l + 1/5*l**2 + 1/30*l**4. Factor f(p).
2*(p + 1)**2/5
Suppose -3*v + 0*v + 33 = 0. Suppose -9 = -4*a + v, -4*a + 26 = 2*w. Factor 2/5*x**2 - 1/5*x - 1/5*x**w + 0.
-x*(x - 1)**2/5
Let o(l) be the third derivative of -3*l**2 + 0*l + 0*l**6 + 1/1260*l**7 + 0*l**4 - 1/180*l**5 + 1/36*l**3 + 0. Let o(h) = 0. What is h?
-1, 1
Factor -33/5*n + 9/5*n**2 - 12/5.
3*(n - 4)*(3*n + 1)/5
Let v(i) = -i**2 + 3*i. Let u(f) = -2*f**2 + 11*f - 1. Let h(k) = k**2 - k. Let r(m) = -4*h(m) + u(m). Let y(z) = 2*r(z) - 11*v(z). Factor y(d).
-(d + 1)*(d + 2)
Determine x so that -14/3*x - 8/3 - x**2 = 0.
-4, -2/3
Suppose 2 + 10 = -2*j - 4*o, -3*j + o + 17 = 0. Suppose 0*w + 0 + 5/4*w**5 - 3*w**j + 9/4*w**3 - 1/2*w**2 = 0. What is w?
0, 2/5, 1
Let b(t) be the first derivative of 1 - 1/18*t**4 - 2/9*t + 2/27*t**3 + 1/9*t**2. Factor b(q).
-2*(q - 1)**2*(q + 1)/9
Let h(b) = -3*b**5 - 9*b**4 + 9*b**3 + 3*b**2 + 6*b. Let m(u) = 3*u**5 + 10*u**4 - 10*u**3 - 3*u**2 - 7*u. Let k(f) = -7*h(f) - 6*m(f). Let k(c) = 0. What is c?
-1, 0, 1
Let z(i) be the third derivative of i**6/1140 - i**5/570 + 23*i**2. Factor z(c).
2*c**2*(c - 1)/19
Let r = 68/11 + -182/33. Find n such that -r*n + 0 - 2/3*n**2 = 0.
-1, 0
Suppose -3*i + 2*n + 4 = 0, -3*n = -2*n - 1. Find b such that b**i - 2*b**4 - b**2 = 0.
0
Let x be 2/108*(7 - 4). Let g(z) be the second derivative of 1/3*z**2 - 1/18*z**4 + 1/60*z**5 + 0 - x*z**3 - 2*z. Solve g(n) = 0.
-1, 1, 2
Let a(c) be the first derivative of c**6/9 - 2*c**5/15 - c**4/2 + 10*c**3/9 - 2*c**2/3 - 24. Factor a(t).
2*t*(t - 1)**3*(t + 2)/3
Let x(d) be the first derivative of -d**8/1176 - d**7/735 + 5*d**2/2 - 3. Let c(p) be the second derivative of x(p). Solve c(y) = 0.
-1, 0
Determine k so that -1/2*k**3 + 1/2*k + k**2 - 1 = 0.
-1, 1, 2
Suppose 2*n + 2*b - 10 = 0, -4*n + 0*b + 20 = b. Let h be -3 - 6/(-3) - -3. Factor -2*c**3 - c + n*c + 2*c**4 - 2*c**2 - h*c.
2*c*(c - 1)**2*(c + 1)
Suppose 0 = -3*m + 5*k - 22 + 5, -4*k = -5*m - 24. Let h be (-6)/m*8/6. Factor q**5 + q**5 + h*q + 2*q**3 - 6*q**3.
2*q*(q - 1)**2*(q + 1)**2
What is z in 1/4*z**4 + 0 + 3/4*z**2 + 3/4*z**3 + 1/4*z = 0?
-1, 0
Let l(b) be the second derivative of 1/21*b**6 - 1/147*b**7 + 5/21*b**4 + 1/7*b**2 - 1/7*b**5 + 0 - 5/21*b**3 - 2*b. Factor l(r).
-2*(r - 1)**5/7
Let r(k) be the first derivative of -k**6/45 + 13*k**5/300 - k**4/30 - 2*k**3/3 - 1. Let x(j) be the third derivative of r(j). Factor x(f).
-2*(4*f - 1)*(5*f - 2)/5
Let c(v) be the first derivative of 1/5*v**5 + 1/3*v**3 - 4 - 3/8*v**4 - 1/24*v**6 - 1/8*v**2 + 0*v. Solve c(u) = 0 for u.
0, 1
Let x(q) be the first derivative of -4/3*q**3 + 0*q**2 - 4/3*q**6 - 4*q**5 - 4*q**4 - 5 + 0*q. Factor x(m).
-4*m**2*(m + 1)**2*(2*m + 1)
Let c(q) be the second derivative of -q**4/12 + q**3/6 + 3*q. Factor c(x).
-x*(x - 1)
Factor 8/9 + 10/9*h**2 - 16/9*h - 2/9*h**3.
-2*(h - 2)**2*(h - 1)/9
Let b(f) be the third derivative of f**6/80 + 3*f**5/80 + f**4/32 + 8*f**2. Factor b(g).
3*g*(g + 1)*(2*g + 1)/4
Let f(q) be the second derivative of q**7/3780 - q**6/270 + q**5/45 - q**4/4 - 2*q. Let g(w) be the third derivative of f(w). Suppose g(m) = 0. Calculate m.
2
Let r(z) be the second derivative of z**4/48 - z**2/8 + 6*z. Solve r(q) = 0.
-1, 1
Let y(m) be the third derivative of 6*m**2 - 2*m**3 + 0 + 0*m - 1/15*m**5 - 2/3*m**4. Solve y(v) = 0.
-3, -1
Suppose -4*u - 9*i + 8*i = 0, -2*i = 0. Factor -4/3*h**4 + 0*h + 2/3*h**3 + u + 0*h**2 + 2/3*h**5.
2*h**3*(h - 1)**2/3
Let l(h) = 7*h**2 - 7*h - 2. Let c(a) = 29*a**2 - 29*a - 9. Let p(d) = 2*c(d) - 9*l(d). Factor p(s).
-5*s*(s - 1)
Let r = 7 - 5. Factor -4*o**2 - o**3 + r*o**2 + 3*o**3.
2*o**2*(o - 1)
Let w(a) be the third derivative of -a**5/24 - 17*a**4/48 - a**3/2 + 17*a**2. Factor w(s).
-(s + 3)*(5*s + 2)/2
Let v(j) be the first derivative of j**9/12096 + j**8/3360 - j**6/720 - j**5/480 + j**3/3 - 2. Let x(i) be the third derivative of v(i). Factor x(u).
u*(u - 1)*(u + 1)**3/4
Factor 11*r**2 - 4 - 4*r**4 + 13*r**2 - 16*r**2.
-4*(r - 1)**2*(r + 1)**2
Let w(k) be the first derivative of 0*k**3 + k - 1/18*k**4 + 2 + 1/3*k**2. Let i(f) be the first derivative of w(f). Let i(j) = 0. What is j?
-1, 1
Let w = 390 + -1557/4. Factor -3/2 - 3/4*h + w*h**2.
3*(h - 2)*(h + 1)/4
Let u(p) = -5*p**5 + 5*p**3 - 2*p**2. Let k(c) = 51*c**5 - 51*c**3 + 21*c**2. Let g = 73 + -52. Let z(a) = g*u(a) + 2*k(a). Suppose z(l) = 0. What is l?
-1, 0, 1
Let i(t) be the first derivative of -t**6/240 - t**5/60 - t**2/2 - 4. Let j(q) be the second derivative of i(q). Let j(v) = 0. What is v?
-2, 0
Let l(a) be the second derivative of a**6/150 + a**5/100 - a**4/60 - a**3/30 - 42*a. Factor l(v).
v*(v - 1)*(v + 1)**2/5
Let i(d) be the second derivative of -d**7/42 + d**6/30 + 3*d**5/10 - 7*d**4/6 + 11*d**3/6 - 3*d**2/2 + 33*d. What is x in i(x) = 0?
-3, 1
Factor -20/3 - 5/3*o**2 + 20/3*o.
-5*(o - 2)**2/3
Let x(n) be the second derivative of n**4/72 - n**3/18 + n**2/12 - 5*n. Factor x(a).
(a - 1)**2/6
Let m(b) be the first derivative of -b**6/21 - 2*b**5/35 + b**4/7 + 4*b**3/21 - b**2/7 - 2*b/7 + 20. Factor m(z).
-2*(z - 1)**2*(z + 1)**3/7
Suppose 16/3 + 8/3*g - 10/3*g**3 - 4*g**2 - 2/3*g**4 = 0. What is g?
-2, 1
Let k(v) be the third derivative of -6*v**2 + 0*v**5 + 0*v**3 + 0 - 1/30*v**6 + 0*v + 0*v**4 + 1/105*v**7. Factor k(z).
2*z**3*(z - 2)
Suppose 5*z = 156 - 141. Let m(i) be the third derivative of 3*i**2 + 1/240*i**5 + 1/48*i**4 + 0*i + 1/24*i**z + 0. Factor m(y).
(y + 1)**2/4
Let y(g) be the third derivative of 6*g**7/35 + g**6/10 - 26*g**5/15 - 14*g**4/3 - 16*g**3/3 + 4*g**2. Factor y(f).
4*(f - 2)*(f + 1)*(3*f + 2)**2
Let h(b) be the third derivative of 0 + 5*b**2 + 0*b + 1/30*b**5 - 2/3*b**3 - 1/12*b**4. Let h(q) = 0. What is q?
-1, 2
Let w(z) be the second derivative of z**