/3*w**u + 0*w = 0.
-1, 1
Let p(h) be the third derivative of 1/200*h**6 - 1/100*h**5 - 3*h**2 + 0*h**4 + 0*h**3 + 0*h + 0. Find o such that p(o) = 0.
0, 1
Let t(a) = -a**3 - 4*a**2 - 5*a - 4. Let c be t(-3). Suppose -4*l = 3*s, -c*s = 3*l + l. Factor -1/4*g**3 + 0*g**2 + 1/4*g**4 + 0 + s*g.
g**3*(g - 1)/4
Let h be -1*(-3)/(-24)*-2. Suppose 3*z - n = -4*n + 18, 0 = n - 4. Solve 3/4*q + h*q**3 - 1/4 - 3/4*q**z = 0 for q.
1
Let -54/5*c - 36*c**3 + 40*c**4 - 216/5*c**2 + 50*c**5 + 0 = 0. Calculate c.
-3/5, 0, 1
Let h(q) be the third derivative of -q**8/90720 + q**7/22680 - q**5/60 - q**2. Let o(i) be the third derivative of h(i). Factor o(w).
-2*w*(w - 1)/9
Suppose d + 4*d - 132 = -t, -9 = 3*t. Let u be (2/8)/(d/36). What is c in 2/3*c - 1/3*c**2 - u = 0?
1
Suppose 140 = 22*k + 6*k. Suppose -2/3*i**k - 8/9*i**2 + 0 - 28/9*i**3 + 26/9*i**4 + 16/9*i = 0. Calculate i.
-2/3, 0, 1, 2
Let v(n) be the third derivative of n**8/10080 - n**7/1260 + n**5/60 - 3*n**2. Let y(f) be the third derivative of v(f). What is h in y(h) = 0?
0, 2
Factor -5*t**2 + 4*t**3 - t**4 + 2*t - 2*t**4 + 4*t**4 - 2*t**4.
-t*(t - 2)*(t - 1)**2
Suppose 0*b + b = 3*u + 23, 4*b = -5*u + 41. Suppose k = -5*j + b, 2*j = -k + 6*k - 16. Factor 0*o**j + 0 + 0*o + 1/2*o**3.
o**3/2
Find g such that 27 - 27 + g**3 + g**2 = 0.
-1, 0
Let t(y) = -y**2 - 9*y. Let m be t(-9). Let x(r) be the third derivative of -2*r**2 + 1/3*r**3 + 0*r + 1/6*r**4 + m + 1/30*r**5. Factor x(i).
2*(i + 1)**2
Find p, given that 6/7*p + 0 - 3/7*p**4 + 0*p**3 + 9/7*p**2 = 0.
-1, 0, 2
Let h(m) be the first derivative of m**3/3 + m**2/2 - 2. Factor h(v).
v*(v + 1)
Let 0*i**2 - 3/2*i + 1/2 + 2*i**3 = 0. Calculate i.
-1, 1/2
Let g(d) = -9*d**2 + 9*d. Let s(w) = -w**3 + 9*w**2 - 8*w. Let n(m) = 2*g(m) + 3*s(m). Factor n(r).
-3*r*(r - 2)*(r - 1)
Let u(o) = o**2 - o - 1. Let n(r) = r**2 - 8*r - 2. Let a(x) = 2*n(x) - 4*u(x). Determine g so that a(g) = 0.
-6, 0
Let o be -105 + -3 + -3 + 6. Let x = -523/5 - o. Solve 0 - 2/5*k**3 - 2/5*k**2 + 2/5*k**5 + 0*k + x*k**4 = 0 for k.
-1, 0, 1
Let y be ((-1)/(-3))/(6/(-36)*-1). Factor 0 - 2/3*f**y - 2/3*f.
-2*f*(f + 1)/3
Let o(z) be the first derivative of -1/6*z**2 + 2/3*z - 1 - 5/3*z**3. Factor o(q).
-(3*q - 1)*(5*q + 2)/3
Suppose 11 - 2 = 3*k. Find z, given that z - z + z**4 + 6*z**k - 6*z**2 + 2*z - 3*z**4 = 0.
0, 1
Factor 0*q**2 + 3/2*q**3 - 3/2*q + 0.
3*q*(q - 1)*(q + 1)/2
Factor 4/3 + 20/3*j**2 - 8/3*j**3 - 16/3*j.
-4*(j - 1)**2*(2*j - 1)/3
Let z(t) = -t**3 + 12*t**2 - 9*t - 18. Let g be z(11). Suppose -2 + 3 + g + 3*f**2 - 2 - 6*f = 0. What is f?
1
Let v(s) = 2*s**2 - 2*s. Let b be v(6). Let k = b - 239/4. Factor 1/4*t - k*t**2 + 0.
-t*(t - 1)/4
Let x be (-3)/6*0/(-2). Let s(f) be the second derivative of 1/75*f**6 + x + 1/15*f**3 + 0*f**2 + 4*f + 1/10*f**4 + 3/50*f**5. Factor s(j).
2*j*(j + 1)**3/5
Let r(k) be the first derivative of -k**5/40 + k**4/8 - k**3/4 - k**2 + 2. Let g(y) be the second derivative of r(y). Factor g(f).
-3*(f - 1)**2/2
Let m be 296/(-370)*(-2)/(9 - 1). Factor 0*x + 1/5 - m*x**2.
-(x - 1)*(x + 1)/5
Suppose -4*x = -9 - 3. Let y(l) be the first derivative of -l**4/4 + 2*l**2 - 5. Let h(s) = 2*s**3 - 9*s. Let f(c) = x*h(c) + 7*y(c). Factor f(d).
-d*(d - 1)*(d + 1)
Let c be 4/(-4) - (0 + -3). Factor -2/3*v**4 + 0 - 2*v**c - 2*v**3 - 2/3*v.
-2*v*(v + 1)**3/3
Determine w, given that -2/5*w**4 + 6/5*w**3 + 0 + 2/5*w - 6/5*w**2 = 0.
0, 1
Suppose 4*i - 2*m = 2*i - 22, 0 = 3*i + 4*m + 5. Let l = i + 7. Factor 0*r**2 + 0*r + 2/7*r**4 + l*r**3 + 0 + 2/7*r**5.
2*r**4*(r + 1)/7
Let c(n) = -4*n - 32. Let p be c(-10). Let u(g) = -g**3 + 4*g**2 + g. Let q be u(4). Factor -6*m**2 + 3*m**5 + p*m**2 - q*m**4 + m**5 + m - 3*m**3.
m*(m - 1)**2*(2*m + 1)**2
Factor 4/7*g + 6/7 - 2/7*g**2.
-2*(g - 3)*(g + 1)/7
Let n be ((-312)/45)/(-4) + 6/(-15). Suppose 0 - n*j - 2/3*j**2 = 0. What is j?
-2, 0
Factor -9*a**2 - a**3 - 7*a**2 + a**2 - 2*a**3.
-3*a**2*(a + 5)
Factor -3*b + 409*b**2 - 397*b**2 + 12*b**4 - 2*b**5 - b**5 - 18*b**3.
-3*b*(b - 1)**4
Let l(z) be the third derivative of 2*z**2 + 1/15*z**5 + 0 + 1/30*z**6 + 0*z + 1/15*z**3 + 1/12*z**4 + 1/105*z**7 + 1/840*z**8. Factor l(s).
2*(s + 1)**5/5
Let o(a) be the third derivative of -a**7/1260 - a**6/270 - 5*a**3/6 - 5*a**2. Let q(t) be the first derivative of o(t). Find h, given that q(h) = 0.
-2, 0
Let z(p) be the third derivative of -p**7/840 - p**6/120 - p**5/40 - p**4/24 - p**3/24 - 26*p**2. Suppose z(d) = 0. Calculate d.
-1
Let g = 3301/30 + -110. Let c(x) be the second derivative of 1/8*x**4 - 4*x - 1/8*x**5 + 1/12*x**3 - 1/4*x**2 + 0 + g*x**6. Solve c(w) = 0.
-1/2, 1
Let k(y) be the second derivative of -1/30*y**5 - 1/18*y**4 - 4*y + 0*y**2 + 0*y**3 + 0. Solve k(b) = 0 for b.
-1, 0
Let b(q) be the third derivative of -1/24*q**4 + 1/30*q**5 + 0 + 0*q - 1/120*q**6 + 0*q**3 - 6*q**2. Factor b(w).
-w*(w - 1)**2
Let m = 462/13 + -2707/78. Let -2/3*s**3 + 7/6*s - m*s**2 + 1/3 = 0. What is s?
-2, -1/4, 1
Let y(b) be the first derivative of b**2 - 2 + 0*b - 2/3*b**3. What is x in y(x) = 0?
0, 1
Suppose -3*z = w - 9, 0 = z + z - w - 1. Factor 3*t**3 + 3*t**z - 204 + 11*t**2 + t**2 + 177 + 9*t.
3*(t - 1)*(t + 3)**2
Let d(r) be the second derivative of r**8/2240 - r**7/840 - r**4/2 - 5*r. Let o(u) be the third derivative of d(u). Solve o(l) = 0.
0, 1
Let x = 1 + 2. Factor u + 27*u**4 - 6*u**3 - 3*u**2 + 24*u**x + 9*u**3 + 12*u**2.
u*(3*u + 1)**3
Let x(c) be the third derivative of -c**7/3780 + c**5/540 + c**3/2 - c**2. Let n(b) be the first derivative of x(b). Factor n(h).
-2*h*(h - 1)*(h + 1)/9
Let p(q) be the first derivative of 0*q - 1/3*q**3 + 1/5*q**5 - 1/4*q**4 + 1/2*q**2 - 4. Suppose p(c) = 0. What is c?
-1, 0, 1
Suppose -3*x - 12 = -7*x. Factor -5*c**3 + 5*c**x + 2*c**3 - 3*c**4 - c**2 - 2*c + 4*c**4.
c*(c - 1)*(c + 1)*(c + 2)
Let l(a) be the first derivative of -98*a**5/11 - 21*a**4/11 + 24*a**3/11 + 8*a**2/11 + 21. Let l(r) = 0. Calculate r.
-2/7, 0, 2/5
Let n(w) = 7*w**4 + 14*w**3 + 9*w**2 + 22*w + 2. Let v(f) = 20*f**4 + 41*f**3 + 29*f**2 + 66*f + 7. Let o(r) = 17*n(r) - 6*v(r). Suppose o(g) = 0. What is g?
-4, -2, -1
Suppose -9/4*p - 3/4*p**2 - 3/2 = 0. Calculate p.
-2, -1
Factor 5*w - 3*w**2 - 6*w + 2 - 8 - 8*w.
-3*(w + 1)*(w + 2)
Solve -121*x - 1331/3 - 1/3*x**3 - 11*x**2 = 0.
-11
Suppose -5*u + 109 + 241 = 0. Suppose 2*h - u = -3*h. Factor -4*r**2 - 24*r**3 + 7*r**3 - 19*r**3 + h*r - 2 + 54*r**4 - 16*r**2 + 54*r**5.
2*(r + 1)**2*(3*r - 1)**3
Let l be (-7)/(-18) - 10/(-90). Let u(v) be the second derivative of 7/9*v**3 + 0 + l*v**4 + 2/3*v**2 + 1/6*v**5 - 2*v + 1/45*v**6. Let u(y) = 0. What is y?
-2, -1
Factor o + 14/5*o**2 - 1/5.
(2*o + 1)*(7*o - 1)/5
Let m be -1*17/6 - 4. Let l = -13/2 - m. Find t such that 1/3*t**2 - 2/3 - l*t = 0.
-1, 2
Let v(t) = t**3 - 22*t**2 - 2*t + 47. Let f be v(22). Factor -15/4*z**2 - 9*z - f.
-3*(z + 2)*(5*z + 2)/4
Let u be 56/21*(-6)/(-8). Let i = 5 - 3. Factor -2*m**i + 0*m**u - m + m**5 + 2*m**4 + 0*m.
m*(m - 1)*(m + 1)**3
Let q = -115 + 117. Let v(p) be the second derivative of -1/25*p**5 + 0 + 1/30*p**4 - q*p + 1/75*p**6 + 0*p**3 + 0*p**2. Solve v(k) = 0 for k.
0, 1
Factor 10*o**2 - 12*o + 33*o - 16*o + 5*o**3.
5*o*(o + 1)**2
Let i(z) be the first derivative of 0*z**3 - 1/30*z**5 + 0*z - z**2 - 1/12*z**4 - 2. Let w(g) be the second derivative of i(g). Factor w(l).
-2*l*(l + 1)
Factor -3*l + 5*l + 1 - 4*l**2 + 5*l**2.
(l + 1)**2
Let n(p) = -p**2 + 9*p - 14. Let l be n(6). Factor 8/3*w**2 + 2/3*w**5 + 8/3*w**4 + 0 + 2/3*w + l*w**3.
2*w*(w + 1)**4/3
Factor 0 + 20*p**2 + 24*p + 14/3*p**3 + 1/3*p**4.
p*(p + 2)*(p + 6)**2/3
Let t be 3/(((-3)/2)/(-3)). Suppose 4*q - 18 = -t. Factor 2 - q*s**2 - 2*s + s**2 + 5*s + 3*s**2.
(s + 1)*(s + 2)
Let l(p) = 4*p + 74. Let z be l(-18). Suppose 12/11*g**z + 14/11*g + 2/11 = 0. Calculate g.
-1, -1/6
Let g(k) be the second derivative of 1/2*k**3 + 0 + 9/4*k**2 - 9*k + 1/24*k**4. Solve g(z) = 0 for z.
-3
Suppose 3 - 12 = -3*s. Let z(u) be the second derivative of 0*u**2 + 0 + 1/24*u**4 - 1/12*u**s + u. Determine x, given that z(x) = 0.
0, 1
Let v = -2311/3 + 771. Factor -2/3*h**5 - v*h + 4/3*h**2 - 2/3*h**4 - 2/3 + 4/3*h**3.
-2*(h - 1)**2*(h + 1)**3/3
Let w(v) be the second derivative of 0 - 1/12*v**4 - 1/120*v**6 - 1/20*v**5 - 2*v + v**2 + 0*v**3. Let 