*w**k + 1/4*w**2 + 0 - 1/4*w**4 - 1/4*w = 0. What is w?
-1, 0, 1
Let x be (1/(-14))/(6/(-4)). Let v(p) be the second derivative of 1/15*p**6 - 1/3*p**3 - 2*p + 0 - x*p**7 + p**2 + 1/5*p**5 - 1/3*p**4. Factor v(j).
-2*(j - 1)**3*(j + 1)**2
Let h be (-15)/(-20) - 44/144. Factor -4/9*c**4 - 2/9*c + 0 + 2/9*c**5 + 0*c**3 + h*c**2.
2*c*(c - 1)**3*(c + 1)/9
Let y(b) be the second derivative of -b**5/50 - b**4/30 + 8*b. Suppose y(l) = 0. What is l?
-1, 0
Let t(p) be the third derivative of p**8/420 - p**6/30 - p**5/15 + 5*p**3/6 + 4*p**2. Let r(g) be the first derivative of t(g). Let r(l) = 0. Calculate l.
-1, 0, 2
Let v(b) be the first derivative of -3*b**4/4 + 11*b**3 - 36*b**2 - 108*b + 12. Factor v(w).
-3*(w - 6)**2*(w + 1)
Let k(x) be the third derivative of 0*x**7 + 0*x**3 + 0 + 1/168*x**8 + x**2 + 0*x**4 + 0*x**5 + 0*x - 1/60*x**6. What is v in k(v) = 0?
-1, 0, 1
Solve -9*l - 6*l**2 + 4*l**3 + l**2 + 10*l = 0.
0, 1/4, 1
Factor 52*i**3 - 14*i**4 + 7*i**2 - 72*i + 4*i**5 + 5*i**2 - 14*i**4.
4*i*(i - 3)**2*(i - 2)*(i + 1)
Let t(v) be the second derivative of -1/12*v**3 + 0*v**2 + 0 + 1/24*v**4 + v. Suppose t(s) = 0. What is s?
0, 1
Let a(b) be the third derivative of 3*b**8/4480 + b**7/252 + 13*b**6/1440 + b**5/120 + b**4/24 - b**2. Let r(f) be the second derivative of a(f). Factor r(l).
(l + 1)**2*(9*l + 2)/2
Let b(y) = y**2 + 2*y - 1. Let c be b(1). Let i(u) = 11*u - 8. Let p be i(2). Let 10*d**3 + 6 + p*d + 18*d**2 - 4 + 2*d**4 + c = 0. What is d?
-2, -1
Let y(q) = -2*q**5 + 3*q**4 - 3*q**3 - 4*q**2 - 3. Let d(l) = -l**5 + 3*l**4 - 2*l**3 - 4*l**2 - 2. Let g(z) = -6*d(z) + 4*y(z). Solve g(j) = 0.
-2, 0, 1
Let m(s) be the second derivative of -s**5/20 + s**4/12 + 2*s**3/3 - 2*s**2 + 34*s. Determine j so that m(j) = 0.
-2, 1, 2
Let h(p) be the third derivative of 1/4*p**4 + 0*p - 4*p**2 + 0*p**3 + 0 - 1/20*p**5 - 1/40*p**6. Factor h(c).
-3*c*(c - 1)*(c + 2)
Factor 5/4 + 7/8*l + 1/8*l**2.
(l + 2)*(l + 5)/8
Let a be ((-5)/(-15))/((-2)/(-30)). Solve -d**3 - 4*d**2 + 0*d**3 + d - a*d = 0.
-2, 0
Let s = 2 + 0. Suppose -3*g = s*x - 19, -g = -1 - 4. Let u**x + 4*u - 4*u - u = 0. Calculate u.
0, 1
Determine l so that 2/3*l**4 + 4/3*l - 1/9*l**5 - 8/9 + 2/9*l**2 - 11/9*l**3 = 0.
-1, 1, 2
Let k be -1 + 3 - 3*8/18. Factor 1/3 + k*h + 1/3*h**2.
(h + 1)**2/3
Let p(c) be the second derivative of -c**7/6300 - c**4/4 - c. Let f(a) be the third derivative of p(a). Factor f(q).
-2*q**2/5
Let h(i) = 7*i. Let a be h(1). Let m = 3 - a. Let x(k) = -22*k**2 + 18*k - 4. Let n(t) = 45*t**2 - 35*t + 8. Let p(c) = m*n(c) - 9*x(c). Factor p(z).
2*(z - 1)*(9*z - 2)
Let o(j) = j**3 - 8*j**2 - 2*j + 12. Let y be o(8). Let a = 6 + y. Let -1 - 6*h - 1 + 2*h**a + 4 + 2*h**2 = 0. Calculate h.
1/2, 1
Let j = 767/10 - 230/3. Let h(b) be the second derivative of 0*b**2 + 2/15*b**3 + b + j*b**4 + 0. Factor h(d).
2*d*(d + 2)/5
Let k be 3/4*(-8)/2. Suppose -3 + 7 = 4*o. Let p(m) = m**2 + 3. Let f(w) = 1. Let i(h) = k*f(h) + o*p(h). Factor i(s).
s**2
Suppose 2*a = -5*p + 18, 2*a = 3*p - 2*a + 10. Let w(z) be the first derivative of -3/2*z**p + 1/3*z**3 + 2*z - 1. Suppose w(m) = 0. Calculate m.
1, 2
Suppose 2*i = -2*g + 14, 3*g = 6 + 9. Factor 2*t**2 - t**2 - 4*t + 2*t**i - t**2.
2*t*(t - 2)
Let h(y) be the first derivative of -y**6/3 + y**5/2 - y**4/8 + 5. Factor h(g).
-g**3*(g - 1)*(4*g - 1)/2
Solve 8 - 28*g**3 - 16*g + 55*g**3 - 29*g**3 + 10*g**2 = 0 for g.
1, 2
Let h(r) be the second derivative of 0 - 1/4*r**2 + 6*r + 1/24*r**4 - 1/120*r**5 + 1/36*r**3. Determine t, given that h(t) = 0.
-1, 1, 3
Let n = -2 - -5. Let l(v) = v - 1. Let h be l(5). Find i, given that 2*i**2 + i - n*i + h*i = 0.
-1, 0
Let m(z) = -5*z**4 + 15*z**3 + 12*z**2 + z - 5. Let w(g) = -4*g**4 + 14*g**3 + 12*g**2 + 2*g - 4. Let o(s) = 6*m(s) - 7*w(s). Factor o(x).
-2*(x + 1)**4
Let p(n) be the second derivative of -n**8/1680 + n**6/600 - 3*n**2/2 + n. Let c(z) be the first derivative of p(z). Factor c(l).
-l**3*(l - 1)*(l + 1)/5
Let x(w) be the third derivative of 0*w + 1/52*w**4 + 1/390*w**5 + 3*w**2 + 0 + 2/39*w**3. Determine p, given that x(p) = 0.
-2, -1
Let q(l) be the first derivative of -2 + 1/60*l**4 + 0*l**3 + 3*l + 0*l**2. Let b(c) be the first derivative of q(c). Suppose b(m) = 0. Calculate m.
0
Let j = 2 + 1. Factor 2*t + 2*t - 3*t**4 - j*t + 4*t**4 - t**2 - t**3.
t*(t - 1)**2*(t + 1)
Let y(h) = 5*h**3 - h - 2*h**3 - 4*h**3. Let f be y(-1). Suppose 11*j**f + 10 - 16*j - 53*j**2 - 2 = 0. Calculate j.
-2/3, 2/7
Let s(i) be the first derivative of -3 - i - 1/2*i**2 - 1/12*i**3. What is b in s(b) = 0?
-2
Suppose -i + 3 = -0. Let u(k) = 4 - 2*k + i*k**3 - 1 - 6*k**3 + 7*k**2. Let d(m) = -m**3 + m**2 + 1. Let v(j) = -5*d(j) + u(j). Solve v(o) = 0.
-1, 1
Let l(k) be the second derivative of k**9/30240 - k**8/13440 - k**7/5040 + k**6/1440 - k**4/4 + 2*k. Let o(u) be the third derivative of l(u). Factor o(w).
w*(w - 1)**2*(w + 1)/2
Let k = 6 - 0. Suppose n - k = 3*g + 5*n, 0 = 3*n + 9. Factor 14*o**2 + 14*o - 4 - 4*o**g - 8*o**3 + 0*o**3.
-2*(o - 2)*(o + 1)*(4*o - 1)
Factor -2 - 1/2*g**2 + 2*g.
-(g - 2)**2/2
Let m(q) be the first derivative of q**6/45 + 4*q**5/25 + 3*q**4/10 - 25. Let m(w) = 0. Calculate w.
-3, 0
Let r(m) = -m**3 - 6*m**2 - 4*m + 7. Let w be r(-5). Factor 5*s**w - 2*s**4 - 8*s**3 + 2*s + 7*s**4 - 4*s**2.
s*(s - 1)**2*(5*s + 2)
Let u(g) = 5*g**2 + 2*g. Suppose h - 6*h = 0. Let c(z) = -21*z**2 - 5*z + h*z - 4*z. Let r(y) = -2*c(y) - 9*u(y). What is w in r(w) = 0?
0
Let i(r) be the second derivative of r**7/945 + r**6/540 - 3*r**2/2 + 3*r. Let o(u) be the first derivative of i(u). Suppose o(m) = 0. Calculate m.
-1, 0
Let y(a) be the third derivative of a**7/525 - a**6/100 + a**5/75 - 16*a**2. Factor y(w).
2*w**2*(w - 2)*(w - 1)/5
Let l = -1 + 5. Suppose -10 = -i - b + 3*b, -4*b - 20 = -l*i. Find o such that 2/3*o**3 + 0*o - 2/3*o**4 - 2/3*o**5 + i + 2/3*o**2 = 0.
-1, 0, 1
Let x be (-60)/35 + 8/(-28). Let q = x - -5/2. Factor 0*z - 1/2 + q*z**2.
(z - 1)*(z + 1)/2
Let l(s) be the third derivative of s**6/30 - s**4/2 + 4*s**3/3 + 8*s**2. Factor l(k).
4*(k - 1)**2*(k + 2)
Let r(y) = 6*y**3 - 6*y**2 - 3. Let i(t) = 11*t**3 - 13*t**2 - 5. Let p(b) = 3*i(b) - 5*r(b). Suppose p(n) = 0. What is n?
0, 3
Let x = -1/5743 - 6265608/28715. Let l = 219 + x. Determine s so that 4/5*s**2 - 14/5*s - l + 14/5*s**3 = 0.
-1, -2/7, 1
Let t(f) be the third derivative of f**10/45360 - f**9/7560 + f**7/945 + f**4/6 - 4*f**2. Let w(i) be the second derivative of t(i). Solve w(y) = 0.
-1, 0, 2
Let o(x) be the second derivative of x**4/4 + 8*x**3 + 96*x**2 + 57*x. Determine w, given that o(w) = 0.
-8
Let a = 13 - 10. Factor -3*h**5 + 9*h**a - 18*h**2 + 12*h**4 + 6*h**2 - 12*h + 6*h**5.
3*h*(h - 1)*(h + 1)*(h + 2)**2
Let t = -721 + 6503/9. Solve 8/9*x**3 - t*x + 4/9 - 10/9*x**2 = 0.
-1, 1/4, 2
Let x(d) = 35*d - 138. Let n be x(4). Determine s so that 1/7 + 3/7*s - 4/7*s**3 + 0*s**n = 0.
-1/2, 1
Let o(l) = -2 + 2 - 2*l - 2*l. Let g be o(-1). Factor g*u - 2 + 1/2*u**3 - 5/2*u**2.
(u - 2)**2*(u - 1)/2
Factor -6 + 5*v + 2*v**4 - 7*v**4 - 98*v**3 + 23*v**2 + 105*v**3.
-(v - 3)*(v + 1)**2*(5*v - 2)
Let k be -2 + 18/15 - -1. Factor 0*x**2 + 0*x + 0 + k*x**3.
x**3/5
Let s(r) be the first derivative of -r**5 - 33*r**4/14 + 4*r**3/7 + 4*r**2/7 + 1. Find z such that s(z) = 0.
-2, -2/7, 0, 2/5
Let c + 3*c**2 + 0*c + 1 - 5*c = 0. Calculate c.
1/3, 1
Suppose -w = -4*w, -2*j = w - 6. Solve -9*c**2 + 3*c**3 + 7*c - c + 3*c**3 - j*c = 0.
0, 1/2, 1
Let f(a) be the second derivative of a**10/50400 - a**8/5600 + a**6/1200 - a**4/12 + 2*a. Let i(w) be the third derivative of f(w). Factor i(z).
3*z*(z - 1)**2*(z + 1)**2/5
Let v = 10 - 7. Solve -6*u**v + 3*u + 6*u**2 - 2 - 3*u**4 + 3 + 3*u**5 - 7 + 3 = 0.
-1, 1
Let a(o) be the first derivative of -o**4/4 + 2*o**2 + 3*o - 5. Let w(t) = t**3 - t**2 - 7*t - 5. Let g(f) = -5*a(f) - 3*w(f). Find l such that g(l) = 0.
-1, -1/2, 0
Let p be 18/(-8) + 3/12. Let v be (1 - 3)/(1 + p). Factor -v*t - 1 + t**2 - 1 + 2*t**3 + t**2.
2*(t - 1)*(t + 1)**2
Suppose -4/9*x**3 - 2/9 + 2/9*x**4 + 0*x**2 + 4/9*x = 0. Calculate x.
-1, 1
Let j(v) be the third derivative of -v**7/70 + v**6/20 - v**5/20 - 14*v**2. What is q in j(q) = 0?
0, 1
Let m(a) = a**4 + a**3 - a**2 + a. Let x(g) = 4*g**4 + 4*g**3 - 4*g**2 + 3*g. Let