0 + o**4/12 + 3*o**2. Let h(v) be the second derivative of s(v). Factor h(r).
2*r*(r - 1)*(r + 2)**2/9
Let w(m) be the third derivative of 0*m + 1/24*m**5 - 3*m**2 + 1/24*m**4 + 0 + 0*m**3 + 1/60*m**6 + 1/420*m**7. Let w(a) = 0. What is a?
-2, -1, 0
Let f(r) be the second derivative of -r**5/100 + r**4/20 + r**3/30 - 3*r**2/10 - 19*r. What is h in f(h) = 0?
-1, 1, 3
Let t(v) = 5*v**4 - 9*v**2 + 4*v. Let z(a) = 21*a**4 - 36*a**2 + 15*a. Let f(b) = -9*t(b) + 2*z(b). What is i in f(i) = 0?
-2, 0, 1
Let q = -36061/130 - -1461/26. Let m = -220 - q. Suppose 6/5*o**4 + 2/5*o**5 + m*o**3 + 0 + 0*o + 2/5*o**2 = 0. What is o?
-1, 0
Let k(t) be the third derivative of t**9/5040 + t**8/2240 + t**4/24 + t**2. Let l(s) be the second derivative of k(s). Determine q, given that l(q) = 0.
-1, 0
Let i be 1/((-410)/120 + 4). Determine k, given that 0 + 0*k + 6/7*k**2 - 11/7*k**3 + 5/7*k**5 - i*k**4 = 0.
-1, 0, 2/5, 3
Let g be -2*(2 - (1 - 0)). Let c(k) = k**2 + 3*k. Let b(a) = -16*a - 8*a**2 + 2*a**2 + a**2. Let o(v) = g*b(v) - 11*c(v). Factor o(s).
-s*(s + 1)
Suppose -4*w + 5*w = 4. Let a(t) be the first derivative of -1/6*t**3 + 0*t - 1/8*t**2 + 1 + 3/16*t**w. Factor a(c).
c*(c - 1)*(3*c + 1)/4
Let x(l) = 3*l**3 + 5*l**2 - 11*l + 11. Let r(o) = -o**3 - 2*o**2 + 4*o - 4. Let p(b) = -8*r(b) - 3*x(b). Let p(m) = 0. Calculate m.
-1, 1
Let -32/3 + 2/3*b**3 + 16/3*b + 14/3*b**2 = 0. Calculate b.
-4, 1
Factor 1/2*y + 0 - 3/2*y**3 + y**2.
-y*(y - 1)*(3*y + 1)/2
Let g = -5 - -7. Suppose -y - g*y = 0. Suppose -3*j**2 - 4*j + y*j**4 - 3*j**3 + 3*j - j**4 = 0. What is j?
-1, 0
Let l(v) = 10*v**2 - 5. Let o(w) = 5*w**2 - 3. Let h(b) = 2*l(b) - 5*o(b). Let h(p) = 0. What is p?
-1, 1
Let u(w) be the third derivative of -2*w**7/105 - w**6/30 + w**5/15 + w**4/6 - 3*w**2. Find k such that u(k) = 0.
-1, 0, 1
Let a(h) = -2*h**2 - h + 3. Let z(w) = w**2 + w - 2. Let g(d) = 3*a(d) + 5*z(d). Solve g(x) = 0.
1
Let u be ((-3)/9)/((-2)/30). Suppose -u = 3*v + 2*v. Let z(f) = f**3 + f**2 + f. Let q(o) = -6*o**3 + 2*o + 4. Let g(a) = v*q(a) - 8*z(a). Factor g(d).
-2*(d + 1)**2*(d + 2)
Let -4/15*p**2 + 0 + 0*p - 4/15*p**4 - 2/3*p**3 = 0. What is p?
-2, -1/2, 0
Suppose 1/2*d**2 + 1/2 - 1/4*d**5 - d**3 - d**4 + 5/4*d = 0. Calculate d.
-2, -1, 1
Suppose -y + 5 = 0, -4*v - 3*y + 13 + 14 = 0. Suppose 0 = v*r - 4*p, -r = 3*r - 3*p - 7. What is t in 8/7*t**r + 4/7*t**2 + 10/7*t**3 + 0 + 2/7*t**5 + 0*t = 0?
-2, -1, 0
Suppose 3*x - 4*l + 11 = 0, 4*x - 5*l = 8 - 21. Let x*d**2 + 3*d - 20 + 29 - 15 = 0. What is d?
-2, 1
Let n be (-3 - 0)/(21/(-14)). What is q in -2*q**4 - q**5 + 2*q**2 + 5*q**2 + 7*q + q**n + 2*q**3 + 2 = 0?
-1, 2
Let j = -25/9 + 3. Let g(n) be the second derivative of -j*n**3 + 1/18*n**4 - n + 0 + 1/3*n**2. Factor g(y).
2*(y - 1)**2/3
Let o(v) be the second derivative of v**7/30 - 19*v**6/120 + 2*v**5/15 + v**4/6 - v**2/2 - v. Let c(u) be the first derivative of o(u). Factor c(b).
b*(b - 2)*(b - 1)*(7*b + 2)
Let n(d) be the third derivative of -d**9/2016 + d**8/1120 + d**7/560 - d**6/240 + d**3/3 - d**2. Let k(f) be the first derivative of n(f). Solve k(w) = 0.
-1, 0, 1
Let t be ((-130)/(-5))/(2 + 0). Suppose 2*g - 3*f - t = 0, 4*f + 6 = -0*g - 3*g. Factor 0 + n**g + 2/3*n.
n*(3*n + 2)/3
Let t(s) be the third derivative of 0 + 1/4*s**4 + 0*s + 0*s**5 + 1/2*s**3 + 9*s**2 - 1/70*s**7 - 1/20*s**6. Find k such that t(k) = 0.
-1, 1
Let k(r) be the third derivative of -r**8/1344 - r**7/140 - r**6/96 - 45*r**2. Determine t so that k(t) = 0.
-5, -1, 0
Let d = -47/3 - -16. Let i(l) be the second derivative of d*l**3 + 0 + l + 0*l**2 - 1/6*l**4. Find a, given that i(a) = 0.
0, 1
Let y be (-8)/12 + 66/585. Let s = -2/13 - y. Factor s + 0*d - 2/5*d**2.
-2*(d - 1)*(d + 1)/5
Suppose 0 = 4*y + 5*a - 36, -2*y - 3*a = -3*y - 8. Factor p**5 - p**4 - 5*p**4 + 2*p**4 + 5*p**y.
p**4*(p + 1)
Let z(o) be the third derivative of -o**8/84 - 2*o**7/35 - o**6/15 - 11*o**2. Suppose z(h) = 0. Calculate h.
-2, -1, 0
Let s be 3 - (-3 - 1)/2. Solve -2/3*g**3 - 1/3*g**s + g**4 - 2/3*g**2 + g - 1/3 = 0.
-1, 1
Let f(x) be the first derivative of -3*x**4/8 + 3*x**2 - 11. Suppose f(q) = 0. What is q?
-2, 0, 2
Suppose -2*u - 20 = 3*u. Let r = u - -4. Let 5/3*j**2 + r + 2/3*j + 1/3*j**3 - 2/3*j**4 = 0. Calculate j.
-1, -1/2, 0, 2
Let n = -1 + 1. Let l be (-2)/(-2)*n/(-3). Factor l - 2/9*d**2 + 0*d.
-2*d**2/9
Let t(z) be the first derivative of -1/5*z**2 + 3 - 1/100*z**5 + 1/10*z**3 + 0*z**4 + 3*z. Let a(d) be the first derivative of t(d). Factor a(r).
-(r - 1)**2*(r + 2)/5
Let a(x) be the first derivative of 6 + 2*x**2 - 2/9*x**3 - 6*x. Factor a(c).
-2*(c - 3)**2/3
Let z(u) = u - 2. Let q be z(2). Suppose 2*a - 4*c + 2*c + 2 = q, 0 = -a + 5*c - 21. Factor -5*x**2 - a*x**4 + 2*x**4 + 2*x + 6*x**3 + 0*x - x**2.
-2*x*(x - 1)**3
Let w(u) be the second derivative of u - 11/10*u**5 + 0 + 1/2*u**3 - 2/3*u**4 - 5/42*u**7 - 3/5*u**6 + u**2. Let w(m) = 0. Calculate m.
-1, 2/5
Solve 43*g**2 + 4 - 35/3*g**3 - 76/3*g = 0.
2/7, 2/5, 3
Let y = 46 - 43. Let q(j) be the third derivative of -1/12*j**4 + 0*j + 1/60*j**6 - 1/3*j**y + 0 + 1/30*j**5 - 3*j**2. Find g such that q(g) = 0.
-1, 1
Factor -4*t**2 + 0 - 5*t - t**3 + 0*t**3 - 6 + 4.
-(t + 1)**2*(t + 2)
Let q = -16 + 18. Let f be (-2 - -2)/(q/(-1)). Suppose 2/5*s**5 + f*s**3 - 4/5*s**4 + 4/5*s**2 - 2/5*s + 0 = 0. What is s?
-1, 0, 1
Let v(p) be the third derivative of 7*p**7/6 + 7*p**6/6 - 15*p**5/4 - 35*p**4/6 - 10*p**3/3 + 13*p**2. Factor v(w).
5*(w - 1)*(w + 1)*(7*w + 2)**2
Suppose 3*l = -2*l - 3*l. Let p(h) be the second derivative of 0*h**3 - 1/20*h**5 + 3*h + l*h**2 - 8/21*h**7 + 4/15*h**6 + 0*h**4 + 0. Factor p(b).
-b**3*(4*b - 1)**2
Let a = -70 - -72. Factor -4/5 - 4/5*f - 1/5*f**a.
-(f + 2)**2/5
Determine v so that 3/4*v**3 + 3/4*v**2 - 3/4*v - 3/4 = 0.
-1, 1
Let t(g) = 5*g**2 + 6*g + 1. Let j(y) = 5*y**2 + 6*y + 1. Let h(r) = -2*j(r) + 3*t(r). Factor h(u).
(u + 1)*(5*u + 1)
What is a in -3/2 - 9/4*a**3 + 6*a**2 - 9/4*a = 0?
-1/3, 1, 2
Find j, given that -3*j**4 + 3*j**2 + 3*j - 6*j + 4 - 4 + 3*j**3 = 0.
-1, 0, 1
Factor 0*q**4 - 1/4*q - 1/4*q**5 + 0 + 1/2*q**3 + 0*q**2.
-q*(q - 1)**2*(q + 1)**2/4
Let k = 109/2 + -54. Determine u, given that -1/2 - 1/2*u**4 - 1/2*u**5 + u**2 + u**3 - k*u = 0.
-1, 1
Let n(a) = a**5 + 3*a**4 + 3*a**3 - a**2 + 2*a. Let v(s) = 2*s**5 + 4*s**4 + 4*s**3 - s**2 + 3*s. Let i(w) = -6*n(w) + 4*v(w). Factor i(l).
2*l**2*(l - 1)**2*(l + 1)
Let v(w) be the first derivative of w**6/120 - w**5/40 + 2*w + 1. Let k(n) be the first derivative of v(n). Factor k(g).
g**3*(g - 2)/4
Let q be 1830/(-36)*(-12)/(-15). Let p = q - -41. Find h, given that -2/3*h - 1/3*h**2 - p = 0.
-1
Solve -14*h - 8*h**3 - 4 + 2*h**2 + 2*h - 14*h**2 + 4*h**3 = 0.
-1
Let a(y) be the second derivative of y**4/12 - y**3 - 5*y**2/2 + 11*y. Let x be a(7). Find b, given that -2/5*b**x - 2/5*b + 0 = 0.
-1, 0
Suppose 4*a = -12, -h + 21 = -4*a + 7. Factor 2/9 + 4/9*f**h - 2/3*f**4 - 4/9*f**3 + 2/3*f - 2/9*f**5.
-2*(f - 1)*(f + 1)**4/9
Let u(i) = i**2 + 2*i. Let z(k) = k. Let w = -4 - -3. Let s(v) = w*u(v) + z(v). Factor s(b).
-b*(b + 1)
Let l = 202 + -198. Factor l*q + 0 - 4/3*q**2.
-4*q*(q - 3)/3
Factor 1/5*y**3 - 1 - 9/5*y - 3/5*y**2.
(y - 5)*(y + 1)**2/5
Let b be (-4 - 4 - -13)*(-4)/(-10). Let 2/3*x**4 + 3*x**b + 1/3 + 7/3*x**3 + 5/3*x = 0. What is x?
-1, -1/2
Let t(q) be the second derivative of -q**7/315 + 2*q**5/75 - q**4/45 - q**3/15 + 2*q**2/15 + 6*q. Suppose t(r) = 0. Calculate r.
-2, -1, 1
Suppose -n = 2*n - 21. Suppose -n*j = -3*j. Solve -1/2*v**4 + 1/2*v**2 + 0*v**3 + 0 + j*v = 0.
-1, 0, 1
Determine q so that 3/4*q**5 + 5/4*q**4 - 1/4*q**3 + 0 - 1/2*q - 5/4*q**2 = 0.
-1, -2/3, 0, 1
Suppose 6*t = -0*t + 18. Solve -2/7*l**t - 24/7*l - 12/7*l**2 - 16/7 = 0.
-2
Let f(r) = r**3 - 3*r**2 - 3*r + 3. Let z be f(3). Let w = z - -8. Find h, given that 1/2*h + 0 - h**3 + 0*h**w + 1/2*h**5 + 0*h**4 = 0.
-1, 0, 1
Let i be (2/(-12) + 0)*21/(-14). Factor -1/4 - 3/2*c**2 - i*c**4 + c + c**3.
-(c - 1)**4/4
Let c = 13 + 15. Let x = 33 - c. Find g such that -2*g**x - 1/2*g**4 - 2*g - 1/2 + 4*g**3 + g**2 = 0.
-1, -1/4, 1
Find s, given that 0*s**4 + 0*s + 0 + 1/5*s**5 - 2/5*s**2 - 3/5*s**3 = 0.
-1, 0, 2
Determine f, given that -2/5*f - 24/5 + 2/5*f**2 = 0.
-3, 4
Suppose -6*o = 220 - 292. Determine 