y(t).
-2*t**3*(t - 1)**2/5
Let b(u) = -u**2 - 12*u + 47. Let y be b(-15). Let o(l) be the second derivative of 1/48*l**4 + 0*l**y + 0 + 1/24*l**3 - 3*l. Factor o(w).
w*(w + 1)/4
Let t(f) be the third derivative of -f**9/30240 + f**7/2520 + f**5/12 - 2*f**2. Let n(d) be the third derivative of t(d). Let n(x) = 0. Calculate x.
-1, 0, 1
Let g be 0/(-3 + (-3 - -4)). Let k be 1/3*g/(-1). Factor 3*w**4 - 3*w**2 + 3*w**5 + 3*w + k*w**3 - 6*w**3 + w**2 + 3 - 4*w**2.
3*(w - 1)**2*(w + 1)**3
Let s(z) be the third derivative of -z**5/180 - z**4/72 + 8*z**2. Solve s(m) = 0 for m.
-1, 0
Let k(d) be the first derivative of 15*d**3/2 - 5*d**2/2 - 9. Determine s, given that k(s) = 0.
0, 2/9
Let j(m) = -7*m**2 + 9*m - 5. Let l(i) = -6*i**2 + 8*i - 4. Let v(y) = 4*j(y) - 5*l(y). Let v(u) = 0. Calculate u.
0, 2
Let r(l) = l**3 - l**2 + 1. Let a(h) = -5*h**3 + 4*h**2 + h - 2. Let d(b) = a(b) + 2*r(b). Factor d(s).
-s*(s - 1)*(3*s + 1)
Let t(f) be the third derivative of f**8/448 - f**7/140 + f**5/40 - f**4/32 + 37*f**2. Find d, given that t(d) = 0.
-1, 0, 1
Let u(o) be the first derivative of -o**6/180 - o**3/3 - 2. Let d(n) be the third derivative of u(n). Suppose d(z) = 0. What is z?
0
Suppose -2*q - 66 = 2*v + 2*q, 5*v - 2*q + 177 = 0. Let a be ((-20)/v)/(-3 - -5). Find b such that 4/7*b**2 + 0 + 6/7*b**3 - a*b = 0.
-1, 0, 1/3
Let r = 5 - 3. Solve 3*o**2 - 10*o**4 + 5*o**4 - 2*o**r + 4*o**4 = 0.
-1, 0, 1
Suppose -20 = -12*k + 2*k. What is p in 2/5*p + 0 + 2/5*p**k = 0?
-1, 0
Let z be -18*3/(-6)*-1. Let c(p) = -3*p**2 - p. Let s(i) = -13*i**2 - 4*i. Let g(r) = z*c(r) + 2*s(r). What is x in g(x) = 0?
-1, 0
Suppose 2*i + 0 - 2 = -2*v, 17 = -4*i + 3*v. Let u be (-2 - -4) + 0 + i. Let -2/9*k + 2/9*k**3 + u + 0*k**2 = 0. Calculate k.
-1, 0, 1
Let a(p) = -p**3 - 4*p**2 - 4*p + 1. Let z be a(-3). Factor 3*w**3 - 2*w - w - w**3 - 6*w**2 + 2*w**4 + w + z.
2*(w - 1)**2*(w + 1)*(w + 2)
Solve -22/9*h - 10/9*h**2 - 4/9 = 0.
-2, -1/5
Let b(x) = 8*x**3 - 25*x**2 + 4*x. Let w(q) = -4*q**3 + 12*q**2 - 2*q. Let m(u) = -6*b(u) - 13*w(u). Determine i so that m(i) = 0.
0, 1/2, 1
Suppose -d = -0*d - 4. Let b + 0*b**4 + b**2 + 3*b**4 - 4*b**d - b**3 = 0. Calculate b.
-1, 0, 1
Let n be (4 + (-14)/2)*-2. Let c = -6 + n. Factor 2/9*b**2 - 2/9*b**3 + 0*b - 2/9*b**4 + 2/9*b**5 + c.
2*b**2*(b - 1)**2*(b + 1)/9
Let t(j) be the third derivative of -j**9/1008 - 9*j**8/2240 - j**7/280 + j**6/240 + j**4/12 + j**2. Let u(h) be the second derivative of t(h). Factor u(i).
-3*i*(i + 1)**2*(5*i - 1)
Suppose 0 = 5*o + 2*p - 45, 0*o + 4*p = 2*o + 6. Factor -8*a - 2*a**4 - 20*a**2 + 8*a**2 + 0*a**4 - 2 - o*a**3 - a**3.
-2*(a + 1)**4
Let x(d) = 3*d**2 + 22*d. Let v(t) = -t**2 - 7*t. Let r(q) = 7*v(q) + 2*x(q). Determine j so that r(j) = 0.
-5, 0
Let f be ((-2)/210)/(-8 - -4). Let x(m) be the third derivative of f*m**6 + 0*m + 0*m**3 - 1/735*m**7 - 1/84*m**4 + 0 + m**2 + 1/210*m**5. Factor x(z).
-2*z*(z - 1)**2*(z + 1)/7
Suppose -5*t = 5*r - 10, 0 = 4*t + 3*r + 1 - 9. Let -4*a**3 - 2*a**4 + 2*a - 2*a + t + 4*a = 0. What is a?
-1, 1
Let i(s) be the first derivative of 1/5*s**2 + 6 + 1/10*s**4 - 4/15*s**3 + 0*s. Factor i(m).
2*m*(m - 1)**2/5
Let x(n) be the second derivative of n**6/120 - 3*n**5/80 + n**3/6 - 30*n. Let x(z) = 0. Calculate z.
-1, 0, 2
Let 4/9*m**2 + 4/9*m**3 - 2/9*m**5 - 2/9*m**4 - 2/9 - 2/9*m = 0. Calculate m.
-1, 1
Let z(f) be the third derivative of -f**8/2184 + f**7/1365 + 5*f**2. Factor z(s).
-2*s**4*(s - 1)/13
Let p be 2*(-2)/(-22) - (-265)/55. Solve -4*s**2 + 4*s**4 + 15/2*s**3 + 1/2*s + 0 - 8*s**p = 0.
-1, 0, 1/4, 1
Factor 9 + 51/2*i**2 - 51/2*i - 21/2*i**3 + 3/2*i**4.
3*(i - 3)*(i - 2)*(i - 1)**2/2
Suppose 0 = -6*j + 1 + 35. Let o(n) be the third derivative of 2/5*n**5 + 0 - 3*n**2 + 0*n - 1/9*n**4 - 9/20*n**j + 0*n**3. Factor o(q).
-2*q*(9*q - 2)**2/3
Let a(p) be the first derivative of -p**3 - 21*p**2/2 - 18*p + 2. Factor a(i).
-3*(i + 1)*(i + 6)
Let n = -31 - -33. Let i(d) be the second derivative of 1/21*d**7 + 1/3*d**3 + 2*d + 0*d**4 - 1/5*d**5 + 0 + 0*d**n + 0*d**6. Factor i(f).
2*f*(f - 1)**2*(f + 1)**2
Let z(p) = p**2 - p - 4. Let v be z(3). Factor -19 + 19 - y**v.
-y**2
Let z(a) be the third derivative of -a**7/4620 + a**6/660 - a**5/220 + a**4/132 + 2*a**3/3 + 5*a**2. Let h(f) be the first derivative of z(f). Factor h(y).
-2*(y - 1)**3/11
Suppose 0 = n - 2*r + 2, 0 = -4*n + 5*n + 2*r + 14. Let k = n - -13. What is x in x**4 - x**5 + 3*x**3 - 4*x**3 + 3*x**k + 0*x**4 = 0?
-1, 0, 1/2
Factor -12*s - 4/3*s**2 + 40/3.
-4*(s - 1)*(s + 10)/3
Let z be (-6)/(-14) - 55/(-35). Let o be z*(-10)/15*-3. Factor -1/3 + 2/3*u + 0*u**2 - 2/3*u**3 + 1/3*u**o.
(u - 1)**3*(u + 1)/3
Let x = -7 + 10. Determine d so that 3*d - 6*d**3 + 14*d**x - 11*d**3 = 0.
-1, 0, 1
Let x be (6/96)/((-30)/(-4)). Let a(w) be the third derivative of w**2 - 1/30*w**5 + 1/24*w**4 + 0*w**3 + 0 + 0*w + x*w**6. Factor a(b).
b*(b - 1)**2
Let d(c) be the second derivative of -c**7/840 + c**2/2 + c. Let k(q) be the first derivative of d(q). Factor k(m).
-m**4/4
Let c(w) be the first derivative of -2*w**6/3 + 12*w**5/5 - 2*w**4 - 8*w**3/3 + 6*w**2 - 4*w - 22. Factor c(b).
-4*(b - 1)**4*(b + 1)
Factor -9/2*o + 3/2*o**2 + 0.
3*o*(o - 3)/2
Let f(i) = -i**2 + 4*i - 2. Let m be f(4). Let t = m - -4. Solve t*g**2 + 0*g - g - g**2 = 0 for g.
0, 1
Let -282/5*y**2 - 10*y**4 - 8/5 - 88/5*y - 44*y**3 = 0. Calculate y.
-2, -1/5
Suppose 0 = 2*t + 2*t. Let j(c) be the second derivative of -1/30*c**6 + 3*c + t*c**2 + 0*c**5 + 1/12*c**4 + 0*c**3 + 0. Find i, given that j(i) = 0.
-1, 0, 1
Let y(a) = -a**3 - a. Let q(w) = w**3 - 23*w**2. Let x(b) = -5*q(b) + 30*y(b). Find h such that x(h) = 0.
0, 2/7, 3
Let k(l) be the first derivative of 2/11*l + 7 + 0*l**3 - 2/55*l**5 + 1/11*l**4 - 2/11*l**2. Factor k(u).
-2*(u - 1)**3*(u + 1)/11
Let a = -83 + 51. Let w be a/(-120) - (-4)/10. Factor 0 + 7/3*d**3 - w*d - 5/3*d**2.
d*(d - 1)*(7*d + 2)/3
Let i(u) be the first derivative of u**5/120 + u**2/2 - 3. Let q(v) be the second derivative of i(v). Factor q(d).
d**2/2
Let r = 10 + -8. Let g(m) be the third derivative of 1/30*m**5 - 5/24*m**4 + 0 - 1/3*m**3 + 1/24*m**6 + 0*m - m**r. Suppose g(w) = 0. Calculate w.
-1, -2/5, 1
Let w(n) = 12*n**4 + 32*n**3 + 19*n**2 + 2*n - 5. Let l(d) = -d**4 + d**2 + d - 1. Let p(o) = 4*l(o) - w(o). Determine v so that p(v) = 0.
-1, -1/4, 1/4
Let w(f) be the third derivative of -f**6/80 - f**5/40 - 4*f**2. Determine c, given that w(c) = 0.
-1, 0
Let u(v) = -3*v + 4. Let h be u(-3). Let i = h + -8. Find r such that -2/9*r**2 - 2/3*r**3 + 0 + 0*r - 2/9*r**i - 2/3*r**4 = 0.
-1, 0
Let y(f) be the first derivative of f**4/16 - f**3/12 - f**2/8 + f/4 - 20. Let y(t) = 0. Calculate t.
-1, 1
Find o such that 8/7*o**2 + 0 + 8/7*o**3 + 0*o + 2/7*o**4 = 0.
-2, 0
Let y be (-2)/(1 - 17) + 141/376. Find r, given that 0*r**2 + 0*r**3 + y*r**5 + 0*r - 1/2*r**4 + 0 = 0.
0, 1
Let v(o) be the first derivative of 49*o**5/15 + 7*o**4/4 - 8*o**3/3 + 2*o**2/3 - 18. Let v(r) = 0. What is r?
-1, 0, 2/7
Suppose 15 - 15 = 4*y. Let r(j) be the first derivative of y*j + 2/5*j**5 - 1/6*j**6 + 0*j**3 - 1/4*j**4 + 3 + 0*j**2. Determine z so that r(z) = 0.
0, 1
Let j(r) = -2*r - 3. Let u be j(6). Let k be (u/(-6) - 3) + 1. Factor 0 - k*x**3 + 1/2*x**2 + 1/2*x - 1/2*x**4.
-x*(x - 1)*(x + 1)**2/2
Suppose -4 = -6*c + 20. Let w(d) be the third derivative of 0 - 1/6*d**c - 1/12*d**6 - d**2 + 0*d**3 - 7/30*d**5 + 0*d. Factor w(z).
-2*z*(z + 1)*(5*z + 2)
Let i(z) be the second derivative of -z**9/16632 - z**8/9240 + 5*z**3/6 + 4*z. Let s(g) be the second derivative of i(g). Suppose s(p) = 0. Calculate p.
-1, 0
Let i = 7 + -52. Let h be i/(-18)*(-4)/(-65). Factor -h*n**2 + 0 + 2/13*n**3 + 0*n.
2*n**2*(n - 1)/13
Let p(r) be the first derivative of r**4/3 - 2*r**3/3 - 3*r - 5. Let j(v) be the first derivative of p(v). Find l, given that j(l) = 0.
0, 1
Suppose 2*m + 3*q + 18 = -2*m, -4*q - 11 = m. Let n be (-8)/m - (-2)/(-1). Let -2/3*j**2 + n*j + 0 = 0. Calculate j.
0, 1
Let l(n) be the second derivative of -n**4/6 + n**3/3 + 6*n**2 + 6*n. Determine r, given that l(r) = 0.
-2, 3
Let u(f) = f**3 - 3*f**2 + 2*f. Let v be u(3). Let -2*t**2 + v*t + 2*t**3 - 6*t = 0. Calculate t.
0, 1
Let u(v) be the third derivative of 1/70*v**7 - 1/20*v**6 + 0*v**3 + 0*v**4 + 0