*t**2 - o*t + 2/3.
-(t - 1)*(t + 2)/3
Let c(t) be the third derivative of -t**9/181440 + t**8/60480 + t**5/20 + 4*t**2. Let d(m) be the third derivative of c(m). Solve d(f) = 0.
0, 1
Let h = -1 - -6. Let d(u) = u**3 + u**2 - 5*u + 1. Let p be d(2). Find m such that 2*m + 5*m**2 + h*m**5 - 3*m**4 - 3*m**2 + m**2 - 7*m**p = 0.
-1, -2/5, 0, 1
Let t(x) be the first derivative of 2*x**4/17 - 2*x**3/17 - 9*x**2/17 - 4*x/17 + 24. Suppose t(o) = 0. Calculate o.
-1, -1/4, 2
Let x(d) be the third derivative of -1/4*d**4 - 1/10*d**7 - 11/20*d**5 + 0*d - 8*d**2 + 0 - 2/5*d**6 + 0*d**3. Solve x(m) = 0.
-1, -2/7, 0
Let o(n) be the second derivative of n**5/15 - 2*n**3/3 + 3*n**2/2 - n. Let s(q) be the first derivative of o(q). Factor s(t).
4*(t - 1)*(t + 1)
Let h(m) be the first derivative of 1/3*m**3 - 1/2*m - 3/16*m**4 + 2 + 1/8*m**2. Determine z, given that h(z) = 0.
-2/3, 1
Let m(u) be the first derivative of 0*u - 1/3*u**3 + 1/2*u**2 + 4. Factor m(v).
-v*(v - 1)
Let d(s) be the second derivative of -s**4/3 + s**3/6 - s. Let l(o) = o**2 + o**2 - o**2. Let r(g) = -4*d(g) - 18*l(g). Suppose r(w) = 0. What is w?
-2, 0
Let b(k) be the third derivative of k**5/150 - k**4/30 + k**3/15 + 5*k**2. Find j, given that b(j) = 0.
1
Let p(h) be the third derivative of 1/210*h**7 + 0*h**4 - 1/30*h**5 - 2*h**2 + 1/120*h**6 + 0 + 0*h + 0*h**3. Suppose p(z) = 0. Calculate z.
-2, 0, 1
Let o be (-2)/(-6)*(-69 + 12). Let w = o + 22. Let 2*g + 0*g**2 - 1/2*g**4 - 3/2*g**w + 0 = 0. Calculate g.
-2, 0, 1
Let a(n) = -n**3 + 9*n**2 - 9*n + 10. Let t be a(8). Determine r so that 3*r**2 + 2 - 4 + 2*r + 0*r**2 - r**2 - t*r**3 = 0.
-1, 1
Let g(c) be the third derivative of c**8/13440 + c**7/10080 - c**6/720 - c**5/60 - c**2. Let p(k) be the third derivative of g(k). Factor p(w).
(w + 1)*(3*w - 2)/2
Let q be (-1 + 0)*-2 - 32/20. Factor 2/5*f - 2/5*f**2 + 2/5 - q*f**3.
-2*(f - 1)*(f + 1)**2/5
Let f(z) = -5*z. Let b be f(-4). Suppose -g - 4*g + b = 0. Factor -y**2 - y**2 + 2*y - g*y + 4*y.
-2*y*(y - 1)
Let i = -293/6 + 49. Let o(s) be the first derivative of 16/3*s - 1 + 4*s**2 + i*s**4 + 4/3*s**3. Factor o(p).
2*(p + 2)**3/3
Let o(i) be the third derivative of 0*i**3 + 0*i**5 + 0*i + 0 + 1/30*i**6 - 3*i**2 - 1/6*i**4. Find q such that o(q) = 0.
-1, 0, 1
Let b(t) = t**4 + t**3 - t**2 + 5*t + 3. Let y(u) = 2*u**4 + 3*u**3 - 2*u**2 + 11*u + 7. Let j(p) = 14*b(p) - 6*y(p). Find n such that j(n) = 0.
-1, 0, 1, 2
Factor -5/4*x**5 + 0 - 5/4*x**4 + 0*x + 0*x**3 + 0*x**2.
-5*x**4*(x + 1)/4
Let k(p) be the third derivative of -p**5/180 - p**4/36 - 33*p**2. Factor k(w).
-w*(w + 2)/3
Let d(o) be the first derivative of o**3 - 15*o**2/2 + 12*o - 19. Factor d(c).
3*(c - 4)*(c - 1)
Let v(u) be the first derivative of u**6/1260 + 2*u**3/3 + 1. Let c(o) be the third derivative of v(o). Let c(t) = 0. What is t?
0
Determine i so that 1/6*i**2 + 1/3*i + 1/6 = 0.
-1
Determine q, given that 2/7*q**2 + 50/7 - 20/7*q = 0.
5
Let c(w) be the second derivative of w**5/20 - w**4/12 - w**3/6 + w**2/2 - 12*w. Factor c(r).
(r - 1)**2*(r + 1)
Let d(j) = 2*j**3 - 22*j**2 - j + 11. Let x be d(11). Factor 8/7*z**2 + 2/7*z**5 + 12/7*z**3 + 8/7*z**4 + x + 2/7*z.
2*z*(z + 1)**4/7
Let j(y) be the first derivative of 3*y**4/4 - 3*y**2/2 + 2. Solve j(o) = 0 for o.
-1, 0, 1
Factor -6/5*u - 3/5*u**3 + 0 - 9/5*u**2.
-3*u*(u + 1)*(u + 2)/5
Let g be 35/(-11) - 2/(-11). Let w = g - -8. Factor -10/7*y - 20/7*y**3 - 20/7*y**2 - 10/7*y**4 - 2/7*y**w - 2/7.
-2*(y + 1)**5/7
Suppose -4*n + 75 = n. Suppose 2*z - 6*c - n = -c, 3*z - 4*c - 12 = 0. Find o, given that 112/5*o**5 + z + 4/5*o - 38/5*o**2 - 40*o**4 + 132/5*o**3 = 0.
0, 2/7, 1/2
Let z(b) be the first derivative of -4/3*b**4 + 2/3*b**5 + 0*b + 2 + 2/9*b**3 + 2/3*b**2. Factor z(g).
2*g*(g - 1)**2*(5*g + 2)/3
Let v(p) be the second derivative of -7*p**6/6 - 5*p**5/4 + 15*p**4/4 + 25*p**3/6 - 5*p**2 + 2*p. Determine o, given that v(o) = 0.
-1, 2/7, 1
Let c be (8/(-6))/(31/(-93)). Factor 2/7*s**c - 2/7 + 0*s**2 + 4/7*s**3 - 4/7*s.
2*(s - 1)*(s + 1)**3/7
Let w(m) be the third derivative of -2/255*m**6 - 1/2856*m**8 + 1/357*m**7 + 0*m + 0*m**3 + 6*m**2 + 0*m**4 + 0 + 2/255*m**5. Factor w(j).
-2*j**2*(j - 2)**2*(j - 1)/17
Let g(b) = -b + 6. Let k be g(-6). Suppose 4*q - k = -0*q. Determine f so that -q*f**4 - f + 2*f**2 + 5*f - 2*f**3 - f**3 + 1 - f**3 = 0.
-1, -1/3, 1
Let j(w) be the first derivative of -3*w**4/16 + w**3/2 - 3*w**2/8 - 11. Factor j(k).
-3*k*(k - 1)**2/4
Determine c, given that -53*c**5 + 5*c**5 + 24*c**4 + 7*c**2 - 3*c**3 - 7*c**2 = 0.
0, 1/4
Let w be 6/4 - ((-81)/36 + 3). Factor -w*m**5 + 0*m**2 + 0 + 0*m**3 - 3/4*m**4 + 0*m.
-3*m**4*(m + 1)/4
Let s(f) = -f**3 + 5*f**2 + 2. Let z = -49 - -70. Let i(g) = -9*g**3 + 51*g**2 + 21. Let v(u) = z*s(u) - 2*i(u). Determine j, given that v(j) = 0.
0, 1
Let f(w) be the third derivative of 7*w**2 + 0*w + 0 - 1/6*w**4 + 1/15*w**5 - 4/3*w**3. Suppose f(r) = 0. What is r?
-1, 2
Suppose 0 = 3*l + 5*u + 17, 3*l + 2*u + 4 = -l. Let o(h) be the first derivative of l + 0*h**2 + 2/9*h**3 - 2/3*h. Suppose o(d) = 0. What is d?
-1, 1
Let h(m) be the third derivative of -m**5/270 + m**4/108 + 6*m**2. Factor h(g).
-2*g*(g - 1)/9
Let y(d) = 4*d**2 - 3. Let l(q) = -q**2 + 1. Let a(t) = -3*l(t) - y(t). Factor a(j).
-j**2
Let -4/3*l**2 - 26/3*l - 4 = 0. What is l?
-6, -1/2
Let k(n) be the second derivative of -1/30*n**6 + 0 + 3*n + 1/10*n**5 - 1/6*n**3 + 1/6*n**4 - 1/42*n**7 - 1/2*n**2. Let k(d) = 0. What is d?
-1, 1
Let w(a) be the second derivative of -a**7/28 - a**6/10 + a**4/4 + a**3/4 + 3*a. Determine z, given that w(z) = 0.
-1, 0, 1
Let s be 3/6*0 + -1. Let r be s + (-2 - 2)*-1. Factor 2/5*n**r + 0 + 0*n + 0*n**2.
2*n**3/5
Factor 3/7*g**2 + 0*g + 0 - 3/7*g**4 + 0*g**3.
-3*g**2*(g - 1)*(g + 1)/7
Let w(j) be the third derivative of j**5/120 - j**4/24 + j**3/12 + 3*j**2. What is x in w(x) = 0?
1
Let l(r) be the first derivative of 4*r**5/5 + r**4 - 4*r**3/3 - 2*r**2 + 3. Let l(b) = 0. Calculate b.
-1, 0, 1
Let n(g) be the first derivative of -9*g**8/1120 - 3*g**7/560 + g**6/48 - g**5/80 - g**3 - 3. Let v(l) be the third derivative of n(l). Let v(t) = 0. What is t?
-1, 0, 1/3
Let g(b) be the second derivative of b**7/147 - 11*b**6/105 + 3*b**5/5 - 9*b**4/7 - 9*b**3/7 + 81*b**2/7 + 10*b. Factor g(n).
2*(n - 3)**4*(n + 1)/7
Let n(z) be the first derivative of z**4 + 8*z**3/3 + 2*z**2 + 4. Let n(u) = 0. What is u?
-1, 0
Suppose 3*t = -5*a + 30, 2*a + 4 = 4*t - 10. Let f(y) be the first derivative of -8/3*y**3 - a + 0*y + 0*y**2 - 2/5*y**5 + 2*y**4. Factor f(j).
-2*j**2*(j - 2)**2
Suppose 4*t = 4*b - 4, 5*t = 2*t - 3. Let k = -6 + 11. Factor 1/4*g**k + 0*g**2 + b*g + 1/4*g**3 + 0 + 1/2*g**4.
g**3*(g + 1)**2/4
Let p(z) be the third derivative of -z**7/13860 - z**6/990 - z**5/165 + z**4/6 - 4*z**2. Let r(o) be the second derivative of p(o). Factor r(j).
-2*(j + 2)**2/11
Let r(u) be the second derivative of -5*u**5/4 + 55*u**4/6 - 20*u**3/3 + 5*u. Factor r(o).
-5*o*(o - 4)*(5*o - 2)
Let u(w) be the first derivative of -w**7/280 - 3*w**6/160 - 3*w**5/80 - w**4/32 + 2*w**2 + 2. Let n(q) be the second derivative of u(q). Solve n(x) = 0.
-1, 0
Let x be 6/18 + 17/3. Determine k, given that x*k**4 + 57*k - 57*k - 2*k**2 + 4*k**3 = 0.
-1, 0, 1/3
Let x be (-156)/(-27) + (-6)/(-27). Let d(i) = -3*i**2 - 5*i + 5. Let p(o) = 4*o**2 + 6*o - 6. Let l(b) = x*d(b) + 5*p(b). What is g in l(g) = 0?
0
Let -u - 1 + 15 + 3*u**2 - 2 - 11*u = 0. What is u?
2
Let s(i) = 12*i**3 + 27*i**2 + 24*i + 9. Let u(m) = 3*m**3 + 7*m**2 + 6*m + 2. Let g(z) = -2*s(z) + 9*u(z). Factor g(v).
3*v*(v + 1)*(v + 2)
Let a(n) = -11*n**3 - 20*n**2 + 3*n + 20. Let x(i) = -4*i**3 - 7*i**2 + i + 7. Let y(u) = -3*a(u) + 8*x(u). Factor y(g).
(g - 1)*(g + 1)*(g + 4)
Let i(c) be the third derivative of -45*c**8/16 - 45*c**7/14 - 3*c**6/8 + 11*c**5/12 + 5*c**4/12 + 28*c**2. Factor i(u).
-5*u*(3*u + 1)**3*(7*u - 2)
Let l be (1/15)/((-6)/(-15)). Let w(x) be the first derivative of 2 + l*x**4 - 2/9*x**3 - 1/6*x**2 + 1/3*x - 1/18*x**6 + 1/15*x**5. Factor w(o).
-(o - 1)**3*(o + 1)**2/3
Let s be 1129/4*(-10)/(-45). Let w = s - 125/2. Factor 4/9*n - 4/9*n**3 + 0 - w*n**4 + 2/9*n**2.
-2*n*(n - 1)*(n + 1)*(n + 2)/9
Let q be (-1)/(126/(-87)) - (-12)/72. Factor -3/7*u**3 + q*u + 3/7*u**2 + 0.
-3*u*(u - 2)*(u 