Let z(t) be the second derivative of 2*t**2 - 10*t + 0 + 1/3*t**3 - 5/2*t**4. Find u such that z(u) = 0.
-1/3, 2/5
Let a(l) be the third derivative of -27*l**7/70 + 9*l**6/2 - 45*l**5/2 + 125*l**4/2 - 625*l**3/6 - 4*l**2. Suppose a(i) = 0. Calculate i.
5/3
Let i(y) = -y**3 + 2*y**2 - 2*y + 3. Let k be i(2). Let w = k + 1. Factor 2/7*q + 0*q**4 - 4/7*q**3 + 0 + 2/7*q**5 + w*q**2.
2*q*(q - 1)**2*(q + 1)**2/7
Factor 32/13*f**2 + 18/13*f**4 + 0 + 42/13*f**3 + 8/13*f.
2*f*(f + 1)*(3*f + 2)**2/13
Let v(o) be the third derivative of o**10/226800 - o**8/15120 + o**6/1080 - o**5/30 - 6*o**2. Let m(g) be the third derivative of v(g). Factor m(w).
2*(w - 1)**2*(w + 1)**2/3
Let a(j) be the second derivative of 0*j**2 + 0 + 3*j - 1/20*j**5 + 1/4*j**4 + 0*j**3. Find b such that a(b) = 0.
0, 3
Suppose -3*v = -2*i + i + 26, 0 = -i - v + 18. Suppose -i = -4*d - d. Factor 6/11*k**2 + 4/11*k + 0 - 24/11*k**3 + 14/11*k**d.
2*k*(k - 1)**2*(7*k + 2)/11
Let n be 24/7 + -3 + 180/70. Factor 24 + 27/2*h**4 + 132*h**2 + 72*h**n + 96*h.
3*(h + 2)**2*(3*h + 2)**2/2
Let z be 0*(0 + 5/(-10)). Let c(y) be the third derivative of 1/30*y**5 + z*y + 0 - 4*y**2 - 1/3*y**3 + 0*y**4. Suppose c(n) = 0. What is n?
-1, 1
Let g(n) be the first derivative of -n**8/480 + n**7/336 + n**6/360 - n**3 + 4. Let p(d) be the third derivative of g(d). Suppose p(y) = 0. What is y?
-2/7, 0, 1
Suppose -f + 9 = 4*s, -2*s + 6*s = 3*f + 21. Let a**5 - 8*a**4 - a**5 - a + s*a**5 + 0*a + 6*a**3 = 0. What is a?
-1/3, 0, 1
Let a(c) = -c. Let t be a(-3). Factor -13 + 13 + 2*k**t.
2*k**3
Let k = 315 - 315. Factor 3/2*s**3 - 9/2*s + k + 3*s**2.
3*s*(s - 1)*(s + 3)/2
Let l(b) = -13*b**4 + 5*b**3 + 43*b**2 + 69*b + 29. Let k(m) = -19*m**4 + 7*m**3 + 65*m**2 + 103*m + 43. Let o(g) = -5*k(g) + 7*l(g). Factor o(j).
4*(j - 3)*(j + 1)**3
Let p(m) be the second derivative of 2*m**7/189 + 8*m**6/135 + 2*m**5/15 + 4*m**4/27 + 2*m**3/27 - 14*m. Solve p(i) = 0.
-1, 0
Let k(r) be the first derivative of r**3 - 9*r**2/2 + 6*r - 41. Suppose k(a) = 0. Calculate a.
1, 2
Let 5/2*a - 15/2 + 10*a**2 = 0. What is a?
-1, 3/4
Let d(y) be the second derivative of -y**7/28 - 3*y**6/20 + y**4/2 + 2*y + 4. Factor d(t).
-3*t**2*(t - 1)*(t + 2)**2/2
Factor 0*y + 2/5*y**3 - 2/5*y**5 + 2/5*y**4 + 0 - 2/5*y**2.
-2*y**2*(y - 1)**2*(y + 1)/5
Let u be (-3)/((-2)/(8/6)). Suppose 2 = a - 2*q - 2, -2*q = u*a - 2. Suppose 0 - 5*c**3 - 3 + 2*c**a + 5*c - 1 + 2 = 0. Calculate c.
-1, 2/5, 1
Let h(l) = -l - 10*l**2 - 3 + 3*l**2 + 11. Let r(b) = -6*b**2 - b + 7. Let t(p) = 5*h(p) - 6*r(p). Factor t(d).
(d - 1)*(d + 2)
Let l be (-1 - 5)*(-4)/(-90). Let a = l + 3/5. Find t such that -a*t**4 - 1/3*t + 0 + 1/3*t**3 + 1/3*t**2 = 0.
-1, 0, 1
Let q(r) be the first derivative of r**7/525 + r**6/300 - r**5/150 - r**4/60 - 3*r**2/2 + 1. Let p(w) be the second derivative of q(w). Factor p(a).
2*a*(a - 1)*(a + 1)**2/5
Let r be (2/6)/((-5)/(-15)*3). Factor 1/3*q**2 - r*q + 0.
q*(q - 1)/3
Let v be 1/5*160/96. Factor 2/3*i**2 - 1/3*i**3 + 0 - v*i.
-i*(i - 1)**2/3
Let c(g) be the second derivative of g**9/15120 - g**8/2240 + g**7/840 - g**6/720 + g**4/12 + g. Let v(z) be the third derivative of c(z). Factor v(l).
l*(l - 1)**3
Let m(i) be the first derivative of -i**8/672 - i**7/105 - i**6/40 - i**5/30 - i**4/48 - 3*i**2/2 + 3. Let b(p) be the second derivative of m(p). Factor b(c).
-c*(c + 1)**4/2
Let h(v) be the first derivative of v**8/448 - v**7/140 + v**6/160 + v**2/2 + 3. Let r(k) be the second derivative of h(k). Solve r(x) = 0.
0, 1
Let v(z) be the first derivative of 2/3*z**2 - 2/27*z**3 - 1 - 2*z. Factor v(w).
-2*(w - 3)**2/9
Let a(x) be the second derivative of x**6/10 - 3*x**5/20 + 4*x. Find z such that a(z) = 0.
0, 1
Let a(h) be the first derivative of 0*h + 5 + 1/10*h**5 + 1/2*h**3 + 1/4*h**2 + 3/8*h**4. Factor a(z).
z*(z + 1)**3/2
Let o(f) be the first derivative of 14*f**6/27 + 4*f**5/9 - 23*f**4/9 - 4*f**3/27 + 32*f**2/9 - 16*f/9 + 8. Let o(q) = 0. Calculate q.
-2, -1, 2/7, 1
Let b(p) be the third derivative of 0*p + 0 + 0*p**3 + 2*p**2 + 1/48*p**5 - 1/96*p**4. Determine i so that b(i) = 0.
0, 1/5
Let v be (-1)/(-6)*226/1. Let f = v + -37. What is i in -8/3*i**2 + 14/9*i**3 + f*i + 4/9 = 0?
-2/7, 1
Let p(u) be the third derivative of -u**8/336 + u**6/60 - u**4/24 - 8*u**2. Determine x so that p(x) = 0.
-1, 0, 1
Let j(q) be the second derivative of q**4/60 - q**3/15 - 3*q**2/10 - 5*q. Suppose j(k) = 0. What is k?
-1, 3
Let w = 172/1629 - -1/181. Let r(b) be the first derivative of w*b**2 + 1/6*b**4 + 2/45*b**5 + 2/9*b**3 - 4 + 0*b. Solve r(d) = 0 for d.
-1, 0
Let 0 - 1/6*u**2 - 1/6*u**3 + 0*u = 0. Calculate u.
-1, 0
Factor 1/11*z**4 - 4/11*z**3 + 0 - 2/11*z + 5/11*z**2.
z*(z - 2)*(z - 1)**2/11
Let o(a) = 4*a - 2. Let d(r) = r. Let m(c) = -10*d(c) + 2*o(c). Let s be m(-3). Factor 4*v**2 - 4*v**2 - s*v**3 + v + v**5.
v*(v - 1)**2*(v + 1)**2
Solve -2*w**3 - 2*w**3 + 3 + 3*w**5 - 2*w**3 + 3*w**4 + 4*w - w - 6*w**2 = 0 for w.
-1, 1
Let f = 337/18 - 37/2. Suppose -2/9*u + f*u**2 + 0 = 0. What is u?
0, 1
Let j(x) be the third derivative of -x**5/24 + 5*x**4/12 - 47*x**2. Determine p so that j(p) = 0.
0, 4
Let w be (93/6 - 1)*-2. Let y = 117/4 + w. What is c in 1/4*c**5 + 1/4*c**4 + y*c - 1/2*c**3 + 1/4 - 1/2*c**2 = 0?
-1, 1
Let o(i) = -5*i**5 + 4*i**4 - 5*i**3 - 6*i**2 - 6. Let l(w) = w**5 - w**4 + w**3 + w**2 + 1. Let s(k) = -6*l(k) - o(k). Find p, given that s(p) = 0.
0, 1
Factor -1/10*d**2 + 1/10 + 0*d.
-(d - 1)*(d + 1)/10
Factor -1/5*f**2 - f - 4/5.
-(f + 1)*(f + 4)/5
Let t be -1 - (4 + (-526)/105). Let g(x) be the second derivative of 0*x**2 + 0 + 0*x**4 + 0*x**6 + 1/25*x**5 - 1/15*x**3 - t*x**7 - 4*x. Solve g(z) = 0 for z.
-1, 0, 1
Let x(h) be the first derivative of -3*h + 0*h**2 + 1/20*h**5 - 1/12*h**4 + 1 + 0*h**3. Let q(m) be the first derivative of x(m). Let q(l) = 0. Calculate l.
0, 1
Let w(l) be the third derivative of l**8/1680 + l**7/525 + 2*l**2. Determine f so that w(f) = 0.
-2, 0
Let z(s) be the third derivative of -s**7/350 + s**2. Let z(o) = 0. What is o?
0
Suppose 1 = 2*d - 9. Suppose 5*k - 4*k + i = 6, 5*i = d*k - 10. What is a in 0*a - 2/3*a**3 + 4/3*a**2 + 2/3*a**5 - 1/3 - a**k = 0?
-1, -1/2, 1
Let h(w) be the second derivative of -3/2*w**3 - 4*w + 27/4*w**2 + 1/8*w**4 + 0. Factor h(u).
3*(u - 3)**2/2
Let m(i) = -2*i + 24. Let l(q) = q**2 - 18*q + 11. Let w be l(18). Let c be m(w). Factor -2/7*j**c - 18/7 + 12/7*j.
-2*(j - 3)**2/7
Let 3*w**5 - 2*w**3 + 0*w**5 - 2*w**3 - w**5 + 2*w = 0. What is w?
-1, 0, 1
Let f(n) be the first derivative of n**3/21 - n**2/7 + n/7 - 5. Suppose f(q) = 0. What is q?
1
Let p(z) be the first derivative of 2/9*z**5 + 3 + 8/9*z**4 + 0*z**2 - 25/27*z**6 + 0*z + 8/27*z**3. Factor p(v).
-2*v**2*(v - 1)*(5*v + 2)**2/9
Determine t so that -26/17*t - 2/17*t**2 + 0 = 0.
-13, 0
Let l = -2/1843 + 3736/46075. Let b(i) be the first derivative of 0*i + 2/15*i**3 - 1/5*i**2 + 1/10*i**4 - 2 - l*i**5. Factor b(y).
-2*y*(y - 1)**2*(y + 1)/5
Let -40/17*x**3 - 14/17*x**2 + 2/17 + 4/17*x - 24/17*x**4 = 0. Calculate x.
-1, -1/2, 1/3
Let s(r) = -2*r**2 + 31*r - 11. Let q be s(15). Let h(p) be the third derivative of 1/15*p**5 + 0*p**3 + 0*p + p**2 - 1/60*p**6 + 0 - 1/12*p**q. Factor h(d).
-2*d*(d - 1)**2
Let f(o) be the second derivative of -25*o**6/6 - 55*o**5/2 - 235*o**4/4 - 110*o**3/3 - 10*o**2 - 62*o. Factor f(j).
-5*(j + 2)**2*(5*j + 1)**2
Let b = 657/2 + -327. Factor b - 9/2*d**2 - 3*d.
-3*(d + 1)*(3*d - 1)/2
Solve 0*m - 1/3*m**2 + 1/3 = 0 for m.
-1, 1
Let a(z) be the first derivative of z**5/10 + 3*z**4/8 + z**3/6 - 3*z**2/4 - z - 3. Factor a(r).
(r - 1)*(r + 1)**2*(r + 2)/2
Let r be 84 - (-3)/(0 + 1). Let n = r - 779/9. Factor 0*h**2 + 2/9*h**4 - n*h - 2/9 + 4/9*h**3.
2*(h - 1)*(h + 1)**3/9
Suppose -2*o - 2*p = -26, 2*o - 2*p - 32 = -p. Suppose o + 6*d**2 - 7*d - 7 - 9*d = 0. Calculate d.
2/3, 2
Let o be (-2)/6 - (-63)/147. Let i(n) be the second derivative of -2*n - 1/7*n**2 - 1/42*n**4 + 0 - o*n**3. Factor i(s).
-2*(s + 1)**2/7
Let f = 3614/5 + -720. Find u such that -8*u**2 - 8/5*u + 0 - 46/5*u**3 - f*u**4 = 0.
-2, -1, -2/7, 0
Let k = -22 - -25. What is q in -12*q**2 + 4*q - 2*q + 4*q**4 - 2*q + 8*q**k = 0?
-3, 0, 1
Let q(n) be the third derivative of -n**7/1575 + n**6/450 - n**5/450 + 11*n**2. Factor q(s).
-2*s