v = 0.
2/9
Let g(q) be the first derivative of q**5/210 - 4*q**3/21 - 3*q**2/2 - 2. Let b(v) be the second derivative of g(v). Factor b(h).
2*(h - 2)*(h + 2)/7
Let r(j) = 9*j**4 - 28*j**3 + 57*j**2 + 7*j - 77. Let i(d) = -10*d**4 + 28*d**3 - 58*d**2 - 6*d + 78. Let a(v) = 5*i(v) + 6*r(v). Find m, given that a(m) = 0.
-1, 2, 3
Let w(q) be the second derivative of 1/36*q**4 + 0 + 0*q**2 + 3*q + 1/9*q**3. Determine v so that w(v) = 0.
-2, 0
Let b(r) be the first derivative of 5*r**6/6 - r**5 - 25*r**4/4 + 5*r**3/3 + 20*r**2 + 20*r - 28. Solve b(j) = 0 for j.
-1, 2
Let h(u) = 3*u - 54. Let t be h(19). Factor 0*f + 2/7*f**2 + 0 - 10/7*f**4 - 2/7*f**t - 6/7*f**5.
-2*f**2*(f + 1)**2*(3*f - 1)/7
Let s = 13/40 - 3/40. Let m(h) be the first derivative of 2/3*h**3 + 0*h - 2 - 1/12*h**6 + 2/5*h**5 - 3/4*h**4 - s*h**2. Factor m(o).
-o*(o - 1)**4/2
Let o be (-8)/6*(168/35)/(-8). Factor -2/5*u**3 - o + 0*u**2 + 6/5*u.
-2*(u - 1)**2*(u + 2)/5
Determine t, given that 0*t**3 - 6*t**2 + 5*t**3 - 8*t**3 + 24 + 12*t = 0.
-2, 2
Let d be 8/(-6)*6/(-4). Factor 2*o + 1/2*o**4 + d*o**3 + 1/2 + 3*o**2.
(o + 1)**4/2
Let 6/7*x**5 - 3/7*x + 0 - 3/7*x**2 + 9/7*x**3 + 15/7*x**4 = 0. Calculate x.
-1, 0, 1/2
Suppose 21 - 5 = 2*d. Let h(o) = -o + 9. Let b be h(d). Solve b + 49/4*j**2 - 7*j = 0 for j.
2/7
Suppose 0 = 2*w - 3*p - 45, -w - 4*p = -1 + 6. Let y be (25/w)/(2/6). Let -2*v**3 + 4/3*v**2 + 4/3*v**4 + 0 - 1/3*v**y - 1/3*v = 0. Calculate v.
0, 1
Let p(t) be the third derivative of 5*t**8/336 - 2*t**7/21 + t**6/4 - t**5/3 + 5*t**4/24 - 2*t**2. Factor p(o).
5*o*(o - 1)**4
Let n(l) = l**2 - 6*l - 11. Let x be n(8). Factor -4*g**2 + 7*g + 2 - 4*g**2 - 4 + x*g**2.
-(g - 2)*(3*g - 1)
Let s(y) be the second derivative of -y**6/120 - y**5/20 - 5*y**4/48 - y**3/12 + 23*y. Find q such that s(q) = 0.
-2, -1, 0
Suppose 8 - 16/3*f + 2/3*f**2 = 0. What is f?
2, 6
Let x be (-1)/(-5) - (-305)/(-2400). Let r(p) be the third derivative of x*p**4 + 1/60*p**5 + 0*p - 1/12*p**3 - 3*p**2 + 0. Factor r(f).
(f + 2)*(4*f - 1)/4
Let h(m) be the first derivative of -2*m**3/21 - 4*m**2/7 - 6*m/7 - 9. Find f, given that h(f) = 0.
-3, -1
Let z(y) be the third derivative of y**9/151200 - y**8/16800 + y**7/6300 - y**5/30 + 3*y**2. Let u(t) be the third derivative of z(t). Factor u(v).
2*v*(v - 2)*(v - 1)/5
Let h = 89 + -89. Determine x, given that h + 9/2*x**3 + 3*x**2 - 3/2*x = 0.
-1, 0, 1/3
Let c(a) be the first derivative of 2*a**3/9 - 2*a**2/3 - 4. Factor c(q).
2*q*(q - 2)/3
Let m(s) be the second derivative of -s**7/21 - 2*s**6/15 + 7*s**5/10 - 2*s**4/3 + s + 4. Factor m(n).
-2*n**2*(n - 1)**2*(n + 4)
Let g = 6/91 - -73/273. Let d(v) be the first derivative of g*v**2 - 4 + 4/9*v**3 - 1/6*v**4 - 4/3*v. Factor d(m).
-2*(m - 2)*(m - 1)*(m + 1)/3
Let b(v) be the second derivative of -1/9*v**3 - v + 1/30*v**5 + 1/3*v**2 - 1/18*v**4 + 0. Factor b(l).
2*(l - 1)**2*(l + 1)/3
Let n be (-7)/14 - 18/(-4). Suppose -14*k**5 + 13*k**5 - 2*k**n + 0*k**3 - k**3 = 0. What is k?
-1, 0
Suppose -4*b = -3*q - 31, 4*q + 16 + 12 = 2*b. Let r be b*8*5/10. Factor -r - 49*j**4 - 145*j**3 + 96*j + 70*j**3 - 88*j**2 - 93*j**3.
-(j + 2)**2*(7*j - 2)**2
Suppose -8 - 8 = 4*o, -3*o = -c + 14. Suppose 2*y = 6 - c. Determine x so that 2*x**2 + 2*x + 5*x**3 + y*x**2 - 3*x**3 + 0*x = 0.
-1, 0
Let a = 2/11 - -3/44. Let g = 7/12 - a. Find f, given that g*f - 1/3*f**2 + 0 = 0.
0, 1
Let l = 15 + -18. Let t be (-1)/(-1) - l/(-6). Find j such that 5*j**3 + 5/2*j**4 + 5/2*j + t + 5*j**2 + 1/2*j**5 = 0.
-1
Let h(z) be the first derivative of -2/3*z**3 - 2*z**2 - 2*z + 3. Solve h(t) = 0.
-1
Suppose -8*b**5 - 2 - 10 + 44*b + 22*b**3 - 56*b**2 + 4*b**5 + 2*b**3 + 4*b**4 = 0. What is b?
-3, 1
Suppose 0 = 3*d - 0*d - 15. Suppose 9 + 11 = d*j. Factor 2*u**2 - 9 + j*u + 9.
2*u*(u + 2)
Let f be (0/(-3))/((-3)/(12/(-8))). Let x(a) be the first derivative of f*a - 3/2*a**2 - a**3 - 2 + 3/4*a**4 + 3/5*a**5. Factor x(g).
3*g*(g - 1)*(g + 1)**2
Let n(s) be the first derivative of -1/15*s**3 - 2/5*s**2 + 1 - 3/5*s. Factor n(b).
-(b + 1)*(b + 3)/5
Let i(s) be the first derivative of -1/4*s + 3/8*s**2 + 2 - 1/4*s**3 + 1/16*s**4. Factor i(w).
(w - 1)**3/4
Factor -7*v + 7 + 7 - 2 - v - 4*v**2.
-4*(v - 1)*(v + 3)
Let -10/3*i**2 - 8/3 + 2/3*i**3 + 16/3*i = 0. What is i?
1, 2
Let b(z) be the first derivative of -z**3/7 + 3*z**2/14 + 19. Factor b(l).
-3*l*(l - 1)/7
Let o(c) = 8*c**5 - 8*c**3 + 11*c**2. Let l(k) = -3*k**5 + 3*k**3 - 4*k**2. Let b(j) = -11*l(j) - 4*o(j). Suppose b(r) = 0. What is r?
-1, 0, 1
Let u(p) = 2*p**2 - 10*p + 2. Let t(h) = -2*h**2 + 9*h - 2. Let o(d) = 6*t(d) + 5*u(d). Factor o(k).
-2*(k - 1)**2
Let q(d) be the third derivative of -d**5/66 + d**4/66 + 8*d**2. Let q(h) = 0. What is h?
0, 2/5
Let h(a) be the second derivative of 0*a**3 - 1/72*a**4 + 0 + 1/360*a**5 - 3*a + 3/2*a**2. Let r(q) be the first derivative of h(q). Factor r(u).
u*(u - 2)/6
Let g(v) be the third derivative of -v**8/13440 - v**7/5040 - v**4/12 - 2*v**2. Let z(d) be the second derivative of g(d). Let z(q) = 0. Calculate q.
-1, 0
Let x(a) be the first derivative of -a**3/5 - 3*a**2/10 + 6*a/5 + 6. Solve x(b) = 0 for b.
-2, 1
Let v(n) be the second derivative of -2/3*n**3 - n**2 + 1/15*n**6 + 5*n + 0*n**4 + 1/5*n**5 + 0. Find s such that v(s) = 0.
-1, 1
Let u(o) be the second derivative of o**4/42 - o**3/21 - 6*o**2/7 + 26*o. Factor u(n).
2*(n - 3)*(n + 2)/7
Let w(s) be the third derivative of s**8/56 + 2*s**7/105 - s**6/15 - s**5/15 + s**4/12 - 7*s**2. Determine v, given that w(v) = 0.
-1, 0, 1/3, 1
Let l(f) be the first derivative of f**5/60 - f**4/24 - f**3/3 - 3*f**2 + 1. Let m(z) be the second derivative of l(z). Suppose m(g) = 0. Calculate g.
-1, 2
Let c(f) = -4*f**2 + 36*f - 16. Let x(b) = -b**2 + 12*b - 5. Let o(i) = 3*c(i) - 8*x(i). Factor o(q).
-4*(q - 2)*(q - 1)
Let j = -73 + 76. Let m(t) be the third derivative of 1/12*t**4 - 1/10*t**5 + 2/3*t**j - 4*t**2 + 0*t + 0. Suppose m(g) = 0. What is g?
-2/3, 1
Let b(v) be the first derivative of 1/18*v**4 - 2/27*v**3 + 0*v + 3 + 2/45*v**5 - 1/9*v**2. Find y such that b(y) = 0.
-1, 0, 1
Solve -3*l**3 + 7*l**3 + 2*l**2 - 2*l - 5*l**3 + l = 0.
0, 1
Let w(r) be the first derivative of -r**6/15 + 2*r**5/25 + r**4/2 - 2*r**3/15 - 8*r**2/5 - 8*r/5 + 11. Factor w(y).
-2*(y - 2)**2*(y + 1)**3/5
Suppose -2*q = 9*q - 33. Let k(a) be the second derivative of 1/21*a**q - 3*a + 0*a**2 + 0 - 1/70*a**5 + 0*a**4. Factor k(u).
-2*u*(u - 1)*(u + 1)/7
Let v(n) = -3*n**4 + 4*n**3 - 3*n**2 - 4*n. Let k(b) = -b**3 + b**2 + b. Let h(s) = -6*k(s) - v(s). Solve h(g) = 0.
-1, -2/3, 0, 1
Let j be (-29)/(-5) + 20/(-25). Let a(k) be the second derivative of 0*k**3 - 2*k + 1/15*k**6 + 0*k**j - 1/3*k**4 + 0 + k**2. Find c, given that a(c) = 0.
-1, 1
Suppose -q = -3*q + 6. Suppose 5*a + 4*j = q*j + 7, -j + 3 = 3*a. Suppose 1 + t**2 + 2*t**a - 2*t**2 + 2*t = 0. Calculate t.
-1
Suppose 4*m + 7 - 14 = r, r = 2*m - 3. Solve j**2 - 24 - j**m + 2*j + 23 - 2*j**3 + j**4 = 0 for j.
-1, 1
Factor -2/9*v**3 + 0 + 0*v**2 + 2/9*v.
-2*v*(v - 1)*(v + 1)/9
Let a(n) = n**5 + n**4 + n - 1. Let x(v) = -v**5 - 5*v**4 + v**3 + 3*v**2 - 4*v + 2. Let g(q) = 2*a(q) + x(q). Factor g(f).
f*(f - 2)*(f - 1)**2*(f + 1)
Let g = -5 + 11. Solve 70*u**2 - 6*u - 28*u**5 + g*u - 78*u**4 + 48*u + 0*u**3 + 8 - 20*u**3 = 0.
-2, -1, -1/2, -2/7, 1
Let m be (5 - 8) + (-1 - -6). Suppose 4*f = 4*g - 28, 2*g - 7*g - 2*f + 28 = 0. Factor 2*n + 6 - g - m*n**2.
-2*n*(n - 1)
Let j(z) be the second derivative of z**4/6 - 4*z**3/3 + 4*z**2 - 5*z. Factor j(w).
2*(w - 2)**2
Let b be (0/(-2))/(8/4). Let d = 0 - -3. Find x, given that -3*x**4 + 4*x**d + b*x**4 - x**5 - 6*x**3 = 0.
-2, -1, 0
Let k(j) = j**2. Let w be k(1). Let z(b) = b**4 + b. Let a(g) = 6*g**4 + 8*g**3 - 10*g**2 + 12*g. Let h(l) = w*a(l) - 8*z(l). Determine s, given that h(s) = 0.
0, 1, 2
Let w be 1/(1/(2/3)). Find o, given that 2/3*o**3 + 0 - 4/3*o**2 + w*o = 0.
0, 1
Let z(l) = 3*l**5 + 10*l**4 + 25*l**3 + 30*l**2 + 20*l + 3. Let s(y) = -2*y - 4*y**3 + 3*y + 3*y**3 - y**4. Let m(t) = 5*s(t) - z(t). Factor m(j).
-3*(j + 1)**5
Let g(w) be the second derivative of -9*w**5/80 - w**4/8 - w**3/24 - 3*w. Find i, given that g(i) = 0.
-1/3, 0
Let -4/5 + 84/5*c**4 + 34/5*c + 4*c**3 - 54/5*c**5 - 16*c**2 = 0. What is c?
-1, 2/9, 1/3, 1
Let d