w + 0*w**f = 0.
0
Let j(m) be the second derivative of m**3 + 4*m + 0 + 2*m**2 + 1/6*m**4. Factor j(n).
2*(n + 1)*(n + 2)
Suppose -3 + 0 = -o, -3*l - 5*o + 27 = 0. Suppose 2*a**5 - 3*a**3 - 5*a**5 - 28*a**l + 22*a**4 = 0. Calculate a.
-1, 0
Let w(x) be the second derivative of -x**4/12 + 2*x**3/3 + x. Let i be w(3). Solve -2 - 3*s**2 - s - 4 + 5 + i = 0 for s.
-1, 2/3
Let p(m) be the third derivative of 1/10*m**5 + 0 + 0*m**3 - 3*m**2 - 9/20*m**6 + 0*m**4 + 0*m + 81/140*m**7. Let p(u) = 0. What is u?
0, 2/9
Let r(m) = 60*m**2 - 52*m - 8. Let s(q) = 20*q**2 - 17*q - 3. Let k(j) = 2*r(j) - 7*s(j). Factor k(h).
-5*(h - 1)*(4*h + 1)
Factor -12*o**5 + 435/2*o**2 - 225*o**3 + 90*o**4 - 90*o + 27/2.
-3*(o - 3)**2*(2*o - 1)**3/2
Let d(u) be the second derivative of u**5/70 + u**4/21 - u**3/21 - 2*u**2/7 + u. Factor d(t).
2*(t - 1)*(t + 1)*(t + 2)/7
Let y(s) = -s**3 + 2*s**2 + 2*s - 3. Let o be y(2). Let w be (-8)/((-1 - o) + -1). Factor -2*q - w*q**2 + 2/3.
-2*(q + 1)*(4*q - 1)/3
Let z(u) be the first derivative of -2*u**3/3 - u**2 + 4*u - 15. Factor z(b).
-2*(b - 1)*(b + 2)
Let c(i) = -4*i**2 + 3*i + 1. Let h(s) = 12*s**2 - 10*s - 2. Let l(y) = -10*c(y) - 3*h(y). Let l(n) = 0. What is n?
-1, 1
Let z(r) be the first derivative of 2*r**5/25 - 3*r**4/5 + 26*r**3/15 - 12*r**2/5 + 8*r/5 - 18. Factor z(k).
2*(k - 2)**2*(k - 1)**2/5
Let b = 4919/10 + -973/2. Factor -b*z**2 - 36/5*z**3 + 0 - 3*z**4 - 6/5*z.
-3*z*(z + 1)**2*(5*z + 2)/5
Factor -2/3*s**3 + 4/3*s + 0 - 2/3*s**2.
-2*s*(s - 1)*(s + 2)/3
Solve -1/12*i**3 + 0*i**2 + 0 + 1/3*i = 0 for i.
-2, 0, 2
Let y be (-5)/20 + 4574/(-8). Let c = y + 4012/7. Let 0 - 4/7*x**2 - c*x**4 + 2/7*x - 2*x**3 = 0. What is x?
-1, 0, 1/4
Let q(n) be the first derivative of 1/42*n**4 - 1/7*n**2 - 4 + 2*n + 0*n**3. Let u(m) be the first derivative of q(m). Factor u(x).
2*(x - 1)*(x + 1)/7
Let w(y) = 8*y**4 - 6*y**3 - 2*y. Let n(f) = -f**5 - 17*f**4 + 12*f**3 + f**2 + 5*f. Let d(j) = 4*n(j) + 10*w(j). Factor d(i).
-4*i**2*(i - 1)**3
Factor 0*y**3 + 3/4*y - 3/2*y**2 + 3/2*y**4 + 0 - 3/4*y**5.
-3*y*(y - 1)**3*(y + 1)/4
Let p(f) be the first derivative of -4*f**5/15 + 17*f**4/12 - 16*f**3/9 + f**2/2 - 5. Let p(s) = 0. Calculate s.
0, 1/4, 1, 3
Let y(n) be the first derivative of 2*n**5/15 + n**4/6 - 10*n**3/9 + n**2 - 8. Determine j so that y(j) = 0.
-3, 0, 1
What is l in 1/2*l**3 + 0*l - 1/4*l**2 + 0 - 1/4*l**4 = 0?
0, 1
Suppose 0*j = -2*j + 8. Suppose -j*k - k = l - 183, 5*l = 5*k - 195. Factor -10*p**3 - 27*p**5 - 11*p**4 - 5*p**3 + 6*p**2 - k*p**4.
-3*p**2*(p + 1)**2*(9*p - 2)
Let b = 0 + 0. Let f = -2/675 + 602/675. Factor 0 + 0*k + b*k**2 - 10/9*k**4 + 2/9*k**3 + f*k**5.
2*k**3*(k - 1)*(4*k - 1)/9
Suppose -2*w = w. Factor -2/5*v**3 + 2/5*v**2 + 0*v + w.
-2*v**2*(v - 1)/5
Let c(y) be the first derivative of y**4/3 - 4*y**3/9 - 10*y**2/3 - 4*y + 6. Suppose c(v) = 0. Calculate v.
-1, 3
Let y(s) be the first derivative of -3*s**4/4 - 3*s**3 - 3*s**2 + 5. Factor y(f).
-3*f*(f + 1)*(f + 2)
Let j(z) = -3*z**3 - 2*z**2 + 1. Let c = 3 - 4. Let x be j(c). Factor -2/3*y**3 + 0*y**x + 2/3*y + 0.
-2*y*(y - 1)*(y + 1)/3
Let c(u) be the third derivative of -u**6/40 - 3*u**5/10 - 9*u**4/8 + 3*u**2. Factor c(d).
-3*d*(d + 3)**2
Solve 4*b**4 + 2/3*b**5 + 6*b + 28/3*b**3 + 4/3 + 32/3*b**2 = 0 for b.
-2, -1
Suppose 0 = y, 4*y = -z - 0*z + 2. Let b(f) be the first derivative of -4*f + 2*f**z - 1/3*f**3 + 1. Solve b(t) = 0 for t.
2
Suppose 3*z + 4*m = 8, 2*z + m - 2 = -z. Suppose z = 3*h - 2*h - 8. Factor 0*t**2 - 9*t**4 - h*t**2 + 2*t + 10*t**3 + 5*t**4.
-2*t*(t - 1)**2*(2*t - 1)
Let h be (30/100)/3*4. Factor -h*t**2 + 4/5*t - 2/5.
-2*(t - 1)**2/5
Let x(c) = -56*c**2 + 36*c - 22. Let s(b) = 8*b**2 - 5*b + 3. Let m(h) = -44*s(h) - 6*x(h). Solve m(i) = 0 for i.
0, 1/4
Let q(c) = 3*c**2. Let z(r) = 2*r**2 + r. Let j(s) = -5*q(s) + 6*z(s). What is i in j(i) = 0?
0, 2
Let f(u) be the second derivative of -u**4/60 + u**2/10 + 13*u. Suppose f(s) = 0. What is s?
-1, 1
Let r be 2 + (-2)/4*-10. Let o = r - 1. Solve -o*v - v**2 - v**2 + 2*v - 2 = 0 for v.
-1
Let l(t) = 2*t**2 - 21*t + 12. Let d be l(10). Factor -4/3*y**3 + 1/3*y**d + 0 + 0*y.
-y**2*(4*y - 1)/3
Let n(h) be the first derivative of -h**6/90 + 7*h**5/180 + h**4/36 + h**2 - 4. Let y(z) be the second derivative of n(z). Factor y(j).
-j*(j - 2)*(4*j + 1)/3
Let h = 6 + 2. Suppose 2 - h = -5*r + o, 0 = 2*r - o. Factor 15/2*l**3 + 0 - 11/2*l**4 + l + 3/2*l**5 - 9/2*l**r.
l*(l - 1)**3*(3*l - 2)/2
Let q(j) be the third derivative of 0*j**4 + 2*j**2 + 0 + 0*j - 1/100*j**5 + 1/10*j**3. Find v, given that q(v) = 0.
-1, 1
Let i(p) = -54*p**4 + 50*p**3 + 66*p**2 - 34*p - 4. Let d(f) = 18*f**4 - 17*f**3 - 22*f**2 + 11*f + 1. Let b(w) = -8*d(w) - 3*i(w). What is u in b(u) = 0?
-1, -2/9, 1
Let g(u) be the second derivative of -1/3*u**3 + 0 + 0*u**2 - 1/3*u**4 - 3*u - 1/10*u**5. Factor g(h).
-2*h*(h + 1)**2
Let n = 18 + -15. Factor 3*y**2 + 2*y + y**n - 13 + 13.
y*(y + 1)*(y + 2)
Let w(p) be the second derivative of -p**7/1680 + p**6/240 - p**5/80 + p**4/48 - 2*p**3/3 - 4*p. Let b(i) be the second derivative of w(i). Factor b(l).
-(l - 1)**3/2
Let i(h) be the third derivative of 0*h**5 - 1/3*h**3 + 0*h + 1/900*h**6 - 4*h**2 + 0*h**4 + 0. Let v(d) be the first derivative of i(d). Factor v(s).
2*s**2/5
Let w(l) be the first derivative of 0*l**3 - 4/45*l**5 + 0*l - 2 + 0*l**4 + 0*l**2 + 1/27*l**6. Factor w(z).
2*z**4*(z - 2)/9
Let d = 13 + -9. Suppose 3*i - 5 = 4*a + 12, 0 = -4*i - d*a + 4. Find u, given that -2*u**3 + 4 + 0 - 6*u**2 - i - 3 - 6*u = 0.
-1
Let 0 - 5/4*r**4 - 5/4*r**2 - 5/2*r**3 + 0*r = 0. Calculate r.
-1, 0
Let t be -4 - (-1 + 1) - (-612)/119. Determine j, given that 0*j + 0 + t*j**4 - 2/7*j**2 + 6/7*j**3 = 0.
-1, 0, 1/4
Let t(f) = 2*f - f - 3*f - 3. Let h be t(-3). Factor 2/5*g**h + 0 - 2/5*g**4 - 2/5*g + 2/5*g**2.
-2*g*(g - 1)**2*(g + 1)/5
Let d(v) be the first derivative of 1/2*v**2 + 0*v + 2 - 1/3*v**3 - 1/4*v**4 + 1/5*v**5. Solve d(i) = 0 for i.
-1, 0, 1
Let f = -5 - 1. Let b be 6/(-7)*28/f. Factor 0*s + 0*s**3 + 0 + 0*s**2 + 2/5*s**b.
2*s**4/5
Let m(k) be the third derivative of -k**5/30 - k**4/42 + 7*k**2. Determine h so that m(h) = 0.
-2/7, 0
Let h(p) be the third derivative of -p**8/40320 - p**7/10080 + p**5/12 + 7*p**2. Let j(o) be the third derivative of h(o). Factor j(a).
-a*(a + 1)/2
Let g(t) be the second derivative of -t**7/21 + 13*t**6/15 - 47*t**5/10 + 23*t**4/6 + 16*t**3 - 36*t**2 - 10*t. Find m, given that g(m) = 0.
-1, 1, 6
Let i(h) be the second derivative of -h**4/20 + 4*h**3/5 - 24*h**2/5 + 7*h. Determine a, given that i(a) = 0.
4
Let g(z) be the first derivative of -z**8/840 - z**7/140 - z**6/60 - z**5/60 + z**3/3 + 5. Let y(o) be the third derivative of g(o). Solve y(p) = 0 for p.
-1, 0
Let z(h) = h**2 + 1. Let p be z(-1). Let o(u) be the first derivative of 0*u**p - 2/9*u + 2/27*u**3 - 2. Factor o(v).
2*(v - 1)*(v + 1)/9
Let t(f) be the second derivative of 1/30*f**5 - 2/3*f**3 + f + 0 + 1/12*f**4 + f**2. Let u(i) be the first derivative of t(i). Let u(h) = 0. Calculate h.
-2, 1
Let y(t) be the second derivative of -t**5/10 + t**4/2 - 2*t**3/3 - 2*t. Find m such that y(m) = 0.
0, 1, 2
Let o(p) be the third derivative of p**6/40 - p**4/2 - 4*p**2. Suppose o(k) = 0. What is k?
-2, 0, 2
Let f(y) be the first derivative of -3 + 1/5*y + 1/5*y**2 + 1/15*y**3. Let f(l) = 0. What is l?
-1
Let a(g) be the first derivative of g**6/3 - 2*g**5/5 - g**4 + 4*g**3/3 + g**2 - 2*g + 2. Determine f, given that a(f) = 0.
-1, 1
Suppose -4*z - 13*z = 0. Factor q**4 + 7/3*q**2 + z - 8/3*q**3 - 2/3*q.
q*(q - 1)**2*(3*q - 2)/3
Suppose -33*k = -15*k - 24*k. Factor k + 0*x + 1/7*x**3 - 2/7*x**2.
x**2*(x - 2)/7
Let y(k) be the second derivative of k**7/168 - k**6/30 + 3*k**5/80 + k**4/12 - k**3/6 - 5*k. Suppose y(t) = 0. Calculate t.
-1, 0, 1, 2
Let k = 38 - 26. Suppose -4*y**4 + 9*y - 4*y - k*y**3 + 8 - 4*y**2 + 7*y = 0. What is y?
-2, -1, 1
Let r(o) = 6*o**2 - 30*o - 12. Let z(b) = 11*b**2 - 61*b - 24. Let m(y) = 9*r(y) - 4*z(y). Factor m(d).
2*(d - 3)*(5*d + 2)
Let m(j) = -5*j**5 - 5*j**4 + 3*j**3 + 3*j. Let y(i) = -i**5 + 7*i**5 - 4*i + 5*i**4 - 4*i**3 + i**4. Let d(t) = -4*m(t) - 3*y(t). Factor d(f).
2*f**4*(f + 1)
Let v be (-1)/(-1)*(0 + 0). Let x(w) be the second derivative of 1/210*w*