1/2*h**3 + 2*h**2 + 0.
h*(h + 2)**2/2
Let c(i) be the second derivative of i**6/30 - i**4/2 - 4*i**3/3 - 3*i**2/2 - 16*i. Factor c(v).
(v - 3)*(v + 1)**3
Let t(o) be the third derivative of o**5/90 + o**4/36 - 2*o**3/9 + 4*o**2. What is x in t(x) = 0?
-2, 1
Let i be (-68)/18 + 84/21. Factor -i*t**2 - 2/9*t**3 + 0*t + 0.
-2*t**2*(t + 1)/9
Let g(o) be the first derivative of -o**5/5 - 3*o**4/4 + o**3/3 + 3*o**2/2 - 1. Factor g(a).
-a*(a - 1)*(a + 1)*(a + 3)
Let f(o) be the third derivative of o**6/720 + o**5/360 - o**4/144 - o**3/2 + 3*o**2. Let b(z) be the first derivative of f(z). Factor b(d).
(d + 1)*(3*d - 1)/6
Let a(h) = 6*h**4 + 2*h**3. Let m = -5 + 1. Let w(r) = -r**4 - r**3. Let l(d) = -d**3 - 2*d**2 + 2*d. Let f be l(1). Let q(x) = f*a(x) + m*w(x). Factor q(b).
-2*b**3*(b - 1)
Let k = 11 + -11. Suppose 3*f - 12 + 0 = k. Solve 2/5 + 0*q**3 - 4/5*q**2 + 0*q + 2/5*q**f = 0 for q.
-1, 1
Let l be 0 + (3 - 2) + 2. Let h = -1 + l. Factor -3*n + h*n**4 + 2*n**3 - 4*n**4 + n + 2*n**2.
-2*n*(n - 1)**2*(n + 1)
Suppose 5*r = 2*b + 18, -2*r - 2*b - 5 = -1. Factor -4 + u**r + 2 + u**2.
2*(u - 1)*(u + 1)
Factor 48/7*c - 114/7*c**3 - 24/7 - 330/7*c**4 + 138/7*c**2 - 150/7*c**5.
-6*(c + 1)**3*(5*c - 2)**2/7
Suppose -48*m + 2*m**3 + 3*m**4 + 4*m**5 + 1 + 45*m - 3*m**5 - 2 - 2*m**2 = 0. What is m?
-1, 1
Let b be (24/(-42))/((-18)/7). Determine w so that -2/9*w**2 - b - 4/9*w = 0.
-1
Let b(n) be the third derivative of n**6/60 - n**5/15 - 7*n**4/12 - 4*n**3/3 - n**2. Determine u so that b(u) = 0.
-1, 4
Determine b so that 30*b**5 - 4*b**4 - b**3 + 5*b**4 - 29*b**5 - b**2 = 0.
-1, 0, 1
Let m(g) = 12*g**4 + 2*g**3 - 10*g**2 - 8*g + 4. Let k(t) = -t**4 + t**3 + t**2 - 1. Let a(s) = 6*k(s) + m(s). Find w, given that a(w) = 0.
-1, -1/3, 1
Let b(z) be the third derivative of -z**6/420 + z**5/42 - 2*z**4/21 + 4*z**3/21 + 3*z**2 - 3*z. Factor b(v).
-2*(v - 2)**2*(v - 1)/7
Suppose -2*a = -3 - 7. Suppose 3*v**2 + a*v + 6*v - 5*v = 0. Calculate v.
-2, 0
Factor -2/7*m + 4/7 - 6/7*m**2.
-2*(m + 1)*(3*m - 2)/7
Let g(o) be the second derivative of -o**4/30 + 2*o**3/15 + 7*o. Find s such that g(s) = 0.
0, 2
Let b(a) be the third derivative of a**5/75 - a**4/30 + 11*a**2. Let b(y) = 0. What is y?
0, 1
Let l(q) be the first derivative of q**5/30 - 7*q**3/18 - q**2/2 - 13. Factor l(x).
x*(x - 3)*(x + 1)*(x + 2)/6
Suppose 0 = -10*t + 14*t. Let g(d) be the second derivative of -1/45*d**6 + 0 + 1/18*d**4 + t*d**2 + 0*d**3 + 2*d + 0*d**5. Determine b so that g(b) = 0.
-1, 0, 1
Let -75*y + 21*y**2 - 2*y**3 + 7 - 66*y**2 - 3*y**3 + 118 = 0. What is y?
-5, 1
Solve -1/2*g**2 + 1/2*g**3 + 3/4*g**4 + 1/4*g**5 - 3/4*g - 1/4 = 0.
-1, 1
Suppose 2*x + x = -g + 12, -2*x + 4*g + 8 = 0. Let -4*w**3 + x*w + 6*w - 4*w - 2*w = 0. What is w?
-1, 0, 1
Let n(k) be the second derivative of k**5/4 + 15*k**4/4 + 45*k**3/2 + 135*k**2/2 + 30*k. Let n(o) = 0. Calculate o.
-3
Let k(j) = 4*j**2 + 4*j. Let u = 8 + 2. Let c(h) = -u*h + 3*h**2 - 2*h - 16*h**2 + 1. Let m(p) = -2*c(p) - 7*k(p). Factor m(n).
-2*(n + 1)**2
Let w(u) be the second derivative of -u**6/120 - u**5/20 - u**4/16 + u**3/6 + u**2/2 + 38*u. Determine v so that w(v) = 0.
-2, -1, 1
Let n = 4382 - 23006/5. Let t = -218 - n. Factor 2/5 - t*f - 2/5*f**3 + 6/5*f**2.
-2*(f - 1)**3/5
Let n = -16 - -23. Let a = n + -7. Solve 2/3*o**4 + a*o**3 + 0*o - 2/3*o**2 + 0 = 0 for o.
-1, 0, 1
Suppose -i - 3*k + 5 = 0, -34*i + 6 = -30*i - 2*k. Let 3/7*h**i - 3/7*h**3 + 6/7*h + 0 = 0. What is h?
-1, 0, 2
Suppose -2*r + 15 = 3*r. Let z be 2/4*104/130. Factor z*l**r + 0*l**2 - 2/5*l + 0.
2*l*(l - 1)*(l + 1)/5
Solve -12*y**3 - 12*y**4 + 34*y**3 - 6*y**3 - 4*y**2 = 0.
0, 1/3, 1
Let p(w) = w - 6. Let u be p(7). Let l be u/(-4) + 13/52. Determine j, given that 1/4*j**3 + 0*j + l + 1/2*j**2 - 11/2*j**4 - 21/4*j**5 = 0.
-1, -1/3, 0, 2/7
Let f(z) be the second derivative of -z**6/20 + z**5/5 - 7*z**4/24 + z**3/6 + 7*z. Factor f(b).
-b*(b - 1)**2*(3*b - 2)/2
What is z in -45 + z**4 + 45 + 3*z**3 = 0?
-3, 0
Let k = 50 - 47. Determine g so that 0 + 0*g + 3/5*g**k + 3/5*g**2 - 3/5*g**5 - 3/5*g**4 = 0.
-1, 0, 1
Let f(m) = -m - 2. Let g be f(-4). Factor -2*a - 2*a**g + 13 - 13.
-2*a*(a + 1)
Let c = 12 + -7. Find t, given that -t**4 + 0*t**3 + c*t**3 + 0*t**3 - 4*t**3 = 0.
0, 1
Let o = 145/42 + -19/6. Determine p, given that -4/7*p - o - 2/7*p**2 = 0.
-1
Let g(b) be the third derivative of 0 - b**2 + 1/24*b**4 + 1/60*b**5 + 0*b**3 + 0*b. Factor g(x).
x*(x + 1)
Let x(m) be the third derivative of -m**6/360 + m**5/120 + m**3/6 + 5*m**2. Let j(r) be the first derivative of x(r). Factor j(o).
-o*(o - 1)
Suppose 3*j + 2*l - 4 = -0*l, 0 = 5*j + 5*l - 10. Factor -2/7*o**2 + j + 0*o.
-2*o**2/7
Let t(n) be the second derivative of n**7/294 - n**6/70 - 3*n**5/140 + 11*n**4/84 - n**3/7 - 9*n. Determine g so that t(g) = 0.
-2, 0, 1, 3
Let u(m) = -2*m**5 - 8*m**4 + 2*m**3 + 8*m**2. Let o(b) = -b**5 - 5*b**4 + b**3 + 5*b**2. Let x = 1 - 6. Let w = 3 + 5. Let r(q) = w*o(q) + x*u(q). Factor r(v).
2*v**3*(v - 1)*(v + 1)
Let z = 5 + -7. Let m be z/9 - 85/(-180). Factor 1/4 - m*v**3 - 1/4*v**2 + 1/4*v.
-(v - 1)*(v + 1)**2/4
Factor 16/3*f**2 + 0 + 0*f + 1/3*f**3.
f**2*(f + 16)/3
Let x(r) be the third derivative of r**6/480 - r**5/80 + r**3/6 + r**2 - 4*r. Factor x(z).
(z - 2)**2*(z + 1)/4
Let u(f) be the first derivative of f**7/126 - 7*f**6/360 + f**5/90 - f**2/2 - 1. Let c(x) be the second derivative of u(x). Suppose c(t) = 0. Calculate t.
0, 2/5, 1
Suppose 5*r + 2*r**4 + 2*r**3 + r - 2*r**2 - 8*r = 0. What is r?
-1, 0, 1
Let s(a) = 19*a**4 - 51*a**3 + 35*a**2 + 4*a - 9. Let c(w) = w**4 - w**3 + w**2 + 1. Let o(p) = -c(p) - s(p). Factor o(h).
-4*(h - 1)**3*(5*h + 2)
Suppose r = 1 - 0. Let h be (-3 - -3)/(-2*r). Solve h*x**3 + 0*x**2 - 2*x**2 + x + x**3 = 0 for x.
0, 1
Suppose 0*w - 6 = -z - 2*w, z - 3*w = -19. Let j be 1*z/8 - -1. Suppose -1/4*k**2 - 1/4 + j*k = 0. Calculate k.
1
Suppose 0 = -4*d + 2*q - 2, -6*q = -3*d - q - 19. Factor t**2 - 2*t**4 + 4 - 6*t**3 - 3*t**d + 2*t + 4*t.
-2*(t - 1)*(t + 1)**2*(t + 2)
Let d(g) = -g**3 + 5*g**5 + 6*g**2 - 13*g**5 + 3*g**3 + 6*g - 6. Let m(l) = l**5 - l**4 - l**3 - l**2 - l + 1. Let a(j) = d(j) + 6*m(j). Factor a(b).
-2*b**3*(b + 1)*(b + 2)
Let n(x) be the first derivative of 2*x**5/35 + x**4/14 - 2*x**3/21 - x**2/7 - 1. Factor n(v).
2*v*(v - 1)*(v + 1)**2/7
Let i(g) be the second derivative of g + 4/3*g**3 + 2/5*g**5 - 1/15*g**6 - g**4 + 0 - g**2. Find x such that i(x) = 0.
1
Let 0 + 0*g**2 - 2/9*g + 0*g**4 - 2/9*g**5 + 4/9*g**3 = 0. Calculate g.
-1, 0, 1
Determine y so that 23*y**3 - 14*y + 5*y**3 - 14*y**3 + 6*y**2 - 6 = 0.
-1, -3/7, 1
Let y(b) be the third derivative of b**7/840 - b**6/120 + b**5/48 - b**4/48 - 2*b**2. Factor y(k).
k*(k - 2)*(k - 1)**2/4
Let c(y) be the second derivative of y**7/28 + y**6/20 - 3*y**5/40 - y**4/8 + y - 12. Factor c(w).
3*w**2*(w - 1)*(w + 1)**2/2
Let p(n) be the third derivative of n**6/72 - n**5/15 - n**4/6 + n**3/3 - 6*n**2. Let w(k) be the first derivative of p(k). Find h such that w(h) = 0.
-2/5, 2
Suppose -g - 2*k + 1 = 4, 4*g = -3*k + 8. Let z(q) be the third derivative of 1/80*q**6 + 0*q**3 - 1/80*q**g + 0*q + 2*q**2 + 0 + 0*q**4. Factor z(n).
3*n**2*(2*n - 1)/4
Let g be (9/(-8))/(2/16*-30). Let d(j) be the second derivative of -g*j**2 + 1/5*j**3 - 1/20*j**4 + 0 - 2*j. What is u in d(u) = 0?
1
Let s be 1 - 22092/33 - 0. Let r = s + 669. Suppose 0 + 4/11*f**2 - r*f**3 + 0*f + 2/11*f**4 = 0. What is f?
0, 1, 2
Let 0*z + 4/5*z**2 + 0 + 2/5*z**3 = 0. Calculate z.
-2, 0
Let l be (-12)/(-8) - (-2)/4. Suppose y + l*a - 6 = -y, 0 = -y - 4*a. Factor 0 - 2*k**2 - 2/7*k**5 - 4/7*k - 10/7*k**y - 18/7*k**3.
-2*k*(k + 1)**3*(k + 2)/7
Let i(g) = -g**3 + 3*g**2 + g - 3. Let z be i(3). Find b, given that 21*b**2 + 12*b**3 + 4 - 17*b**2 + z*b**4 - 12 + 4*b**4 - 12*b = 0.
-2, -1, 1
Let w(s) be the second derivative of -1/2*s**5 - 2*s**2 - 2*s + 0 + 5/3*s**3 + 1/3*s**4. Factor w(z).
-2*(z - 1)*(z + 1)*(5*z - 2)
Let t(z) = 6*z**2 - z - 2*z + 7*z + 4. Let m(b) be the first derivative of -7*b**3/3 - 3*b**2/2 - 3*b + 3. Let j(w) = -4*m(w) - 5*t(w). Factor j(o).
-2*(o + 2)**2
Let k = 11 + 1. Let 3*f**4 - 4*f**3 + 6*f + 3*f**3 - k*f**2 + 9 - 5*f**3 = 0. What is f?
-1, 1, 3
Determine r so that -26*r + 15 + 6*r + 9*r**2 - 21*r**