t + 2/5*t**2 = 0.
-1, 0
Let u(n) be the second derivative of 1/9*n**4 - 1/9*n**3 - 2/3*n**2 + 1/30*n**5 + 2*n + 0. Determine x so that u(x) = 0.
-2, -1, 1
Factor -b + 0 + 1/2*b**2 + 1/2*b**3.
b*(b - 1)*(b + 2)/2
Let f = -118/9 - -587/18. Let v = f + -19. Factor -1/2*o**3 - 3/2*o**2 - 3/2*o - v.
-(o + 1)**3/2
Let r be ((-15)/(-140))/((-3)/12). Let t = r - -27/14. Determine m, given that -t + 3*m**2 - 3/2*m = 0.
-1/2, 1
Let t(w) be the second derivative of w**7/28 + w**6/10 - w**4/4 - w**3/4 + 8*w. Let t(v) = 0. Calculate v.
-1, 0, 1
Let o(c) be the second derivative of c**5/180 - 13*c**4/108 + 8*c**3/9 - 2*c**2 - 14*c. Factor o(u).
(u - 6)**2*(u - 1)/9
Let l(f) = -f**2 + f - 1. Let s(o) = -3*o**5 + 4*o**4 + o**3 + 2*o**2 - 4*o + 4. Let h(g) = 4*l(g) + s(g). Factor h(v).
-v**2*(v - 1)**2*(3*v + 2)
Factor 1/4*j**3 + 1/4*j**4 + 0*j**2 + 0*j + 0.
j**3*(j + 1)/4
Let f(q) be the second derivative of -q**7/280 - q**6/30 - q**5/10 - 7*q**3/6 + 9*q. Let l(t) be the second derivative of f(t). Factor l(d).
-3*d*(d + 2)**2
Let c(s) be the first derivative of 3*s**5/5 - 9*s**4/4 + 6*s**2 - 18. What is h in c(h) = 0?
-1, 0, 2
Let w(k) be the first derivative of -k**3 + 3*k**2 + 9*k + 6. Find p such that w(p) = 0.
-1, 3
Let c(z) be the third derivative of 1/270*z**5 + 0 + 0*z**4 + 0*z - 1/27*z**3 - 2*z**2. Factor c(r).
2*(r - 1)*(r + 1)/9
Let x = -36 - -73/2. Let k(f) be the first derivative of -2 + 0*f + 1/4*f**4 - x*f**2 + 0*f**3. Determine c, given that k(c) = 0.
-1, 0, 1
Let j be 6/15 + -2 + 2. Let i be (-1 - -3)/((-30)/(-6)). Solve j*o**4 - 6/5*o**3 - 4/5 + 6/5*o + i*o**2 = 0 for o.
-1, 1, 2
Let b(m) = 3*m**4 - 2*m**3 - 3*m**2 + 2*m - 5. Let w(y) = y**3 - y + 1. Let j(h) = -b(h) - 5*w(h). Factor j(g).
-3*g*(g - 1)*(g + 1)**2
Let a(d) be the first derivative of -2*d**3 - 93*d**2/2 + 48*d - 25. Factor a(x).
-3*(x + 16)*(2*x - 1)
Let c = 88 + -82. Let h(m) be the second derivative of -1/6*m**3 + 1/2*m**2 + 1/20*m**5 - 1/120*m**c - 3*m - 1/16*m**4 + 0. Find p, given that h(p) = 0.
-1, 1, 2
Let t(x) be the second derivative of -3*x**5/20 - x**4/4 + x**3/2 + 3*x**2/2 + 6*x. Factor t(a).
-3*(a - 1)*(a + 1)**2
Let v(r) be the second derivative of r**7/294 + r**6/210 - r**5/70 + 31*r. Let v(d) = 0. What is d?
-2, 0, 1
Let y = -2/67 + 73/201. Let r be 2/6*-2 + 1. Factor -r*c**3 + 2/3*c**2 - y*c + 0.
-c*(c - 1)**2/3
Factor n**2 - 9*n - 4*n**2 + 12*n.
-3*n*(n - 1)
Let g(d) be the third derivative of 2*d**2 - 1/150*d**5 - 1/20*d**4 - 2/15*d**3 + 0*d + 0. Determine u so that g(u) = 0.
-2, -1
Let t be (4 + -1 + -2)*5. Let a(w) be the second derivative of 0*w**3 + 1/100*w**t + 0*w**4 + 0*w**2 + w + 0. Factor a(z).
z**3/5
Let v(b) = b**3 + 4*b**2 - 44*b + 12. Let i be v(-9). Find l such that 0*l**i + 0 - 2/5*l - 4/5*l**4 + 4/5*l**2 + 2/5*l**5 = 0.
-1, 0, 1
Let j(d) be the second derivative of 1/6*d**4 + 0 + 1/180*d**6 - 1/20*d**5 + 1/6*d**3 + 0*d**2 - d. Let r(v) be the second derivative of j(v). Factor r(h).
2*(h - 2)*(h - 1)
Suppose 16 = -2*h + 4*o, -4*o - o = 4*h - 20. Suppose -2/3 + 4/3*a**3 + h*a**2 + 2/3*a**4 - 4/3*a = 0. Calculate a.
-1, 1
Let n(r) be the first derivative of -r**5/20 - 3*r**4/8 - 13*r**3/12 - 3*r**2/2 - r + 3. Factor n(y).
-(y + 1)**2*(y + 2)**2/4
Let b be (12/(-18))/((-4)/30). Find w such that 168*w**4 - 19*w**b + 100*w**5 + 30*w**2 + 3*w + 108*w**3 - 6*w**4 = 0.
-1, -1/3, 0
Let w = 9/11 - 5/33. Factor -w*y + 2/3*y**2 + 0.
2*y*(y - 1)/3
Suppose -4*y = -0*y + 8. Let c(t) = -3*t**3. Let l(q) = -q**2 + 4*q + 4. Let g be l(5). Let n(j) = j**3. Let d(r) = g*c(r) + y*n(r). Factor d(m).
m**3
Factor 8/23*h**3 + 0 + 0*h + 0*h**2 + 2/23*h**4.
2*h**3*(h + 4)/23
Let f(i) be the second derivative of 2*i**6/75 - i**4/5 - 4*i**3/15 + 5*i. Solve f(h) = 0 for h.
-1, 0, 2
Let y(l) be the first derivative of 8 - 1/18*l**4 + 0*l - 2/9*l**2 + 2/9*l**3. Factor y(p).
-2*p*(p - 2)*(p - 1)/9
Factor 2*b**2 + 8*b**2 - 4*b**2 - 3*b - 3*b**3.
-3*b*(b - 1)**2
Let p(u) = -4*u**3 - 40*u**2 - 36*u. Let v(x) = -x**3 - 13*x**2 - 12*x. Let r(f) = -3*p(f) + 8*v(f). Solve r(z) = 0.
-3, -1, 0
Suppose 3*d + 6 = 0, -3*d - 3 = 2*b + 3. Let j(z) be the first derivative of 2/11*z**3 + 2 + b*z + 1/11*z**2 - 2/11*z**4. Factor j(x).
-2*x*(x - 1)*(4*x + 1)/11
Let o(u) be the third derivative of u**7/5040 - u**6/720 - u**4/24 + 4*u**2. Let f(m) be the second derivative of o(m). Factor f(s).
s*(s - 2)/2
Let x be (-3333)/30 + 4/(-8). Let z = x + 112. Factor 0 - z*d - 2/5*d**2.
-2*d*(d + 1)/5
Suppose -i + 0 = k - 6, 6 = -5*k + 4*i. Factor -4 + 4 + 4*f + k*f**2 + 2.
2*(f + 1)**2
Factor -1/3*t**4 + 2/3*t**3 - 1 - 2/3*t + 4/3*t**2.
-(t - 3)*(t - 1)*(t + 1)**2/3
Determine k so that 5/3*k**3 + 125*k + 25*k**2 + 625/3 = 0.
-5
Let j = 17 - 12. Solve 3 + 12*y**2 - 3 - 3 + j - 11*y = 0 for y.
1/4, 2/3
Let m = 34 - 16. Let z = -16 + m. Solve 1/5*u**z + 1/5 + 2/5*u = 0 for u.
-1
Let u(o) be the second derivative of 5*o**7/42 - o**6/6 - o**5/2 + 5*o**4/6 + 5*o**3/6 - 5*o**2/2 + 24*o. Find r such that u(r) = 0.
-1, 1
Let i(k) be the third derivative of -121*k**8/252 - 572*k**7/315 - 46*k**6/45 - 8*k**5/45 - 15*k**2. Find y such that i(y) = 0.
-2, -2/11, 0
Let z(g) be the second derivative of g**6/5 - 7*g**5/10 + 5*g**4/6 - g**3/3 + 33*g. Let z(n) = 0. Calculate n.
0, 1/3, 1
Let j(i) be the second derivative of i**7/49 + 4*i**6/105 - 2*i**5/35 - i**4/7 + i**3/21 + 2*i**2/7 - 41*i + 1. What is h in j(h) = 0?
-1, 2/3, 1
Let n(m) be the first derivative of -m**6/18 + m**5/5 - m**4/12 - m**3/3 + m**2/3 + 6. Find b such that n(b) = 0.
-1, 0, 1, 2
Let p(t) be the third derivative of t**5/20 - 5*t**4/4 + 25*t**3/2 - 17*t**2. Factor p(g).
3*(g - 5)**2
Let g(q) be the second derivative of -2/3*q**3 + 0 + 1/2*q**4 + 3*q + 0*q**5 - 1/15*q**6 + 0*q**2. Find l such that g(l) = 0.
-2, 0, 1
Let h(z) be the second derivative of -z**9/5040 - z**8/2240 + z**7/420 + z**4/2 - 5*z. Let f(w) be the third derivative of h(w). Suppose f(q) = 0. What is q?
-2, 0, 1
Find v, given that -3/2*v**2 - 1/2*v**3 - 1/2 - 3/2*v = 0.
-1
Let v be (-8)/(-16)*-14 - -9. Determine k so that 2/11 - 2/11*k**v + 0*k = 0.
-1, 1
Let n(d) be the third derivative of -d**5/80 + d**3/8 - 36*d**2. Factor n(b).
-3*(b - 1)*(b + 1)/4
Let i(b) be the second derivative of b**4/66 - 4*b**2/11 + 4*b. Factor i(r).
2*(r - 2)*(r + 2)/11
Let i be (-1)/3 + 148/12. Suppose -16 = -n - i. Factor 0*y**3 + 0 + 4/7*y**2 - 2/7*y - 4/7*y**n + 2/7*y**5.
2*y*(y - 1)**3*(y + 1)/7
Let c = 3/35 + 107/385. Let -2/11*v + 4/11*v**2 + 2/11*v**5 + 0 - c*v**4 + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let 3/2*a**4 - a + 0 + 2*a**3 - 5/2*a**2 = 0. Calculate a.
-2, -1/3, 0, 1
Let l be 20/4 + -1 + -1. Let w(p) = -p**2 - 8*p + 9. Let m be w(-9). Solve 0*u**l + m + u**2 + 1/2*u**5 - 1/2*u - u**4 = 0 for u.
-1, 0, 1
Suppose 5 = -6*w + 17. Let x(t) be the first derivative of 0*t - 1/12*t**4 + w + 2/9*t**3 - 1/6*t**2. Factor x(b).
-b*(b - 1)**2/3
Suppose 0 = 4*v - 9*v - 2*m - 32, 2*v - 3*m = -9. Let c be (v/12)/(1/(-7)). Factor -l**5 + l**2 - 4*l**3 + l - 1/2 + c*l**4.
-(l - 1)**4*(2*l + 1)/2
Let q = -5 - -2. Let u = q - -5. Factor 0 + 1/4*y + y**u + 3/4*y**3.
y*(y + 1)*(3*y + 1)/4
Suppose 5*t = 2*n + 16, 4*n - 2*t = -0*n. Factor -4*o - o**2 + 0*o + n*o + o.
-o*(o + 1)
Solve 1 - 2*r**4 + 2*r**2 - 4*r - 2*r**3 - 1 + 6*r**3 = 0.
-1, 0, 1, 2
Let f(m) be the third derivative of -m**7/70 + m**6/40 + m**5/10 + 5*m**2. Factor f(k).
-3*k**2*(k - 2)*(k + 1)
Suppose -2*j = -0*j + 5*j. Suppose -2/7*a + 4/7*a**3 - 2/7*a**5 + j*a**4 + 0*a**2 + 0 = 0. What is a?
-1, 0, 1
Let c(t) be the second derivative of t**4/6 - t**3/6 + t**2/2 + 3*t. Let h be c(1). Factor -2*a**2 + 2*a**h + 1 + a**2 - 2*a**2.
-(a - 1)*(a + 1)
Let n = 35 + -33. What is b in 0 + 4/5*b**3 + 6/5*b**n + 2/5*b = 0?
-1, -1/2, 0
Let l(i) = 4 + 8*i - 3 - 5*i**2 + 6. Let y(o) = -o**2 - o + 1. Let z(a) = -l(a) - 6*y(a). Let b(h) = -5*h**2 + h + 6. Let k(q) = -13*b(q) - 6*z(q). Factor k(v).
-v*(v + 1)
Let w(j) be the first derivative of -j**5/30 - j**4/12 + 2*j**3/9 + j**2/6 - j/2 - 3. Solve w(m) = 0.
-3, -1, 1
Let t(g) be the first derivative of 1/20*g**5 - 1/8*g**2 + 1/8*g**4 - 1/24*g**6 + 1 + 1/4*g - 1/6*g**3. Factor t(q).
-(q - 1)**3*(q + 1)**2/4
Let y(t) be the second derivative of -t**4/42 - t**3/7 - 2*t**2/7 + 8*t. Let y(m) = 0. What is m?
-2, -1
Le