504 + 2*l**7/315 + l**6/180 - 3*l**2/2 + 1. Let p(c) be the second derivative of i(c). Suppose p(u) = 0. What is u?
-1, 0
Let x(n) = -n**3 - n - 1. Let s(m) = 3*m**3 + 3*m**2 - 2*m + 2. Let u(y) = s(y) + 2*x(y). Factor u(d).
d*(d - 1)*(d + 4)
Let b = 131 + -1309/10. Let d(z) be the second derivative of -z + 1/5*z**3 + 0 - 3/20*z**4 - b*z**2. Factor d(y).
-(3*y - 1)**2/5
Let b(g) be the second derivative of -g**4/12 + g**3/3 - 53*g. Factor b(h).
-h*(h - 2)
Let p(a) be the second derivative of -3*a**5/40 + 9*a**4/8 - 15*a**3/4 + 21*a**2/4 - 28*a. Factor p(w).
-3*(w - 7)*(w - 1)**2/2
Suppose -3*y = 1 - 7. Factor 0*z**4 + 1 + 3*z**4 - 4*z**3 + 6*z**2 - y*z**4 - 4*z.
(z - 1)**4
Let q = 10 - 3. Let z = q - 5. Let r - 3 + 2 - r**z - 3*r = 0. Calculate r.
-1
Find o, given that 12/5*o**4 - 6/5*o**2 + 0 + 2*o**3 - 4/5*o = 0.
-1, -1/2, 0, 2/3
Suppose 0 = -2*t + 5*t - 2*t. Let q(x) be the third derivative of -1/630*x**7 + 0*x**5 - 1/360*x**6 + 0*x + t*x**4 + 0*x**3 + 4*x**2 + 0. Factor q(a).
-a**3*(a + 1)/3
Suppose -p = -3*h + 9, -4*h - 2*p = -7*p - 23. Find u such that 0 - 3/5*u**3 - 3/5*u + 6/5*u**h = 0.
0, 1
Suppose 3*r + 3 = z, -2*z = r - 7 + 1. Factor 32/5*g**2 - 2*g - 18/5*g**z - 4/5.
-2*(g - 1)**2*(9*g + 2)/5
Suppose 3*f + f + b = -14, -3*b = -2*f. Let s be 7 + (-9)/(0 - f). Factor 5*w**3 - s*w**3 + 9*w**4 - 10*w**4.
-w**3*(w - 1)
Let j(a) be the second derivative of a**7/840 + a**6/72 + a**5/40 + a**4/3 + 3*a. Let l(n) be the third derivative of j(n). Suppose l(b) = 0. Calculate b.
-3, -1/3
Let p be (0 - 2) + -1 + 2. Let i be ((0 - p) + -2)*-2. Solve 0 - 2*k**i + 14/5*k**3 - 4/5*k = 0.
-2/7, 0, 1
Let s(r) be the second derivative of r**5/2 + 5*r**4/4 + 5*r**3/6 - 3*r. Suppose s(q) = 0. What is q?
-1, -1/2, 0
Let x(h) be the second derivative of -h**5/5 + 4*h**4/3 - 7*h**3/2 + 9*h**2/2 - 34*h. Find u, given that x(u) = 0.
1, 3/2
Suppose 5*m = 3*z - 47 - 0, -9 = -z + 5*m. Let w = -94/5 + z. Factor w*x**2 + 0 + 1/5*x.
x*(x + 1)/5
Let c be ((-8)/(-9))/(-4) + 56/9. Let v(j) be the third derivative of 0 + 0*j + 3*j**2 - 1/180*j**5 - 1/630*j**7 + 0*j**3 + 1/180*j**c + 0*j**4. Factor v(k).
-k**2*(k - 1)**2/3
Let i(d) = -d**2 + 6*d - 6. Let j be i(6). Let l = j - -9. Factor -2*u**3 - 2*u + 3*u - l*u + 4*u**2.
-2*u*(u - 1)**2
Suppose 2/7*c - 2/7*c**4 + 2/7*c**5 - 2/7 + 4/7*c**2 - 4/7*c**3 = 0. Calculate c.
-1, 1
Let k = 1/3 + 1/6. Let z(c) be the first derivative of k*c**2 + 0*c - 1/6*c**6 - 1 + 0*c**4 - 2/5*c**5 + 2/3*c**3. Factor z(a).
-a*(a - 1)*(a + 1)**3
Suppose 18 = 2*r + r. Suppose 2*j - 5*j + r = 0. What is f in -1/3*f**4 - f**j + 0 - 1/3*f - f**3 = 0?
-1, 0
Let m(a) be the second derivative of a**7/70 - a**6/20 - 3*a**2/2 + a. Let k(c) be the first derivative of m(c). Factor k(q).
3*q**3*(q - 2)
Suppose 0 = 3*h - 654 - 786. Let v be (-4)/(-18) + h/756. Solve v*q**5 + 2/7*q**4 + 0 + 0*q + 0*q**3 + 0*q**2 = 0.
-1/3, 0
Solve -2*a + 10/7*a**2 + 4/7 = 0 for a.
2/5, 1
Let i(p) = -2*p**4 - 2*p**3 - 5*p**2 + 5*p. Suppose 0 = -w + 6*w + 20. Let a(q) = 2*q**4 + 2*q**3 + 4*q**2 - 4*q. Let r(d) = w*i(d) - 5*a(d). Factor r(l).
-2*l**3*(l + 1)
Let m(d) be the second derivative of -d**6/30 + 2*d**5/15 + 7*d**2/2 - 4*d. Let y(l) be the first derivative of m(l). Factor y(i).
-4*i**2*(i - 2)
Let x(n) be the first derivative of -3*n**4/32 - n**3/24 + n**2/8 - 3. Let x(j) = 0. What is j?
-1, 0, 2/3
Suppose -3*j + 24 = -4*x, 3 + 14 = -3*x + 2*j. Let b = 6 + x. Factor 10*p + p**5 + 5*p**4 + 2 + 20*p**b + 5*p**4 + 20*p**2 + p**5.
2*(p + 1)**5
Let d be (-100)/(-520)*8*(-3)/(-30). Solve -8/13 + d*c**2 + 2/13*c**3 - 8/13*c = 0 for c.
-2, -1, 2
Suppose 0 - x + 1/4*x**2 = 0. Calculate x.
0, 4
Let u(p) = -4*p**3 + 3*p**2 + 5*p - 5. Let d(g) = -1 - 7*g**2 + g + 8*g**2 + 0*g**2. Let j(v) = 5*d(v) - u(v). Factor j(s).
2*s**2*(2*s + 1)
Let b(k) be the first derivative of k**4/2 - k**2 + 3. Let b(s) = 0. Calculate s.
-1, 0, 1
Let f = -111 + 111. Factor f + 6/7*d + 2/7*d**2.
2*d*(d + 3)/7
Suppose 0 = -j + 4*j - 12. Suppose -3*t + 9 = -j*i, -3*i + 8*t = 3*t + 15. Suppose i - 3/2*u + 15/4*u**3 + 3/4*u**2 - 9/4*u**5 - 3/4*u**4 = 0. Calculate u.
-1, 0, 2/3, 1
Let s(x) be the third derivative of 0*x + 0 + 0*x**3 + 0*x**4 - x**2 - 1/40*x**6 + 0*x**5. Factor s(w).
-3*w**3
Factor 2*p + 0*p - p**2 + 4 + 4*p**2 - 5*p**2.
-2*(p - 2)*(p + 1)
Let f(y) be the second derivative of y**4/3 - 7*y**3/6 + 3*y**2/2 - 3*y. Find z such that f(z) = 0.
3/4, 1
Factor -7*s**5 - 3*s**5 + 5*s**5 - s**2 + 15*s**3 + 11*s**2.
-5*s**2*(s - 2)*(s + 1)**2
Let v(n) be the first derivative of n**6/180 - n**5/60 + n**3/18 - n**2/12 - 4*n + 4. Let c(j) be the first derivative of v(j). What is f in c(f) = 0?
-1, 1
Suppose 0 = -46*a + 45*a + 2. Suppose 2/3*u**4 - 2*u**a + 4/9 - 2/9*u**3 - 2/3*u = 0. What is u?
-1, 1/3, 2
Suppose 3*u = z - 0*u + 3, 0 = -3*z - 4*u + 30. Factor -p**3 - 17*p + z*p**2 + 2 + 3 + 3 + 5*p.
-(p - 2)**3
Suppose 10*d - 11 - 19 = 0. Factor 1/2*f - 1/2 - 1/2*f**d + 1/2*f**2.
-(f - 1)**2*(f + 1)/2
Suppose -5*o + 0*p + 15 = p, 3*o - 5*p + 19 = 0. Solve -o*a**2 - a + 4*a + 4*a**2 - a = 0.
-1, 0
Let a = 0 - -2. Suppose -3*i - 1 = -3*r + 5, -r + a*i + 4 = 0. Suppose -1/4*p**3 + 0*p**2 + r*p - 1/4*p**5 + 1/2*p**4 + 0 = 0. What is p?
0, 1
Let k(y) be the first derivative of 4 + 0*y + 2/5*y**5 + 0*y**2 - 2/3*y**3 + 0*y**4. Suppose k(g) = 0. What is g?
-1, 0, 1
Let y(q) = 16*q**4 - 44*q**3 + 32*q**2 + 12*q - 12. Let a(k) = -17*k**4 + 45*k**3 - 33*k**2 - 11*k + 11. Let p(s) = 4*a(s) + 5*y(s). Factor p(r).
4*(r - 2)*(r - 1)**2*(3*r + 2)
Let n(j) = 9*j**2 - 28*j + 3. Let v be n(3). Let 0*t + v - 3/5*t**4 - 1/5*t**5 - 3/5*t**3 - 1/5*t**2 = 0. Calculate t.
-1, 0
Let m(u) be the first derivative of 2*u**6/5 - 9*u**5/25 - 3*u**4/20 + 1. Factor m(a).
3*a**3*(a - 1)*(4*a + 1)/5
Suppose -g + 1 = 0, -2*w + 5*g = -15 - 0. Suppose -5*d - w = 4*a + 10, a = -4*d - 5. Find x, given that 0 + 4*x - 2 + 2*x**4 + d*x - 4*x**3 = 0.
-1, 1
Let a = -18095/52 + 348. Let g = a + 99/260. Suppose -g - 6/5*o**2 + 2/5*o**3 + 6/5*o = 0. What is o?
1
Let y(r) be the first derivative of r**5/240 - r**4/96 - r**3/12 + r**2/2 - 3. Let m(g) be the second derivative of y(g). Factor m(b).
(b - 2)*(b + 1)/4
Let q be (-40)/(-64)*-2 - -2. Let 1/2*g + q*g**2 + 0 - 1/4*g**4 + 0*g**3 = 0. Calculate g.
-1, 0, 2
What is k in -28*k - 2*k**2 + 12*k - 10*k**2 + 8*k**2 - 12 = 0?
-3, -1
Suppose -f + 3 = -1. Let g(m) = -m**2 + 1 - 6 - f*m + 2*m**2. Let j(b) = -2*b**2 + 9*b + 11. Let h(z) = -9*g(z) - 4*j(z). Factor h(l).
-(l - 1)*(l + 1)
Let r(q) = q - 8. Let t be r(8). Let z(y) be the third derivative of t*y**4 - 1/150*y**5 + 0 + 2*y**2 + 0*y + 1/15*y**3. Solve z(a) = 0.
-1, 1
Let z(v) = -5*v**2 + 5*v + 6. Let w(p) = p**2 - p - 1. Let k(y) = 4*w(y) + z(y). Suppose k(r) = 0. What is r?
-1, 2
Let q(o) be the second derivative of -3*o**4/4 + o**3/3 - 16*o. Solve q(l) = 0.
0, 2/9
Let c(x) = -x**3 - 2*x**2 + 2*x - 2. Let w(k) = 4*k**3 + 5*k**2 - 5*k + 7. Suppose -31 = 5*h - 11. Let a(r) = h*w(r) - 14*c(r). Find b, given that a(b) = 0.
0, 2
Let k(s) = s**4 - 4*s**3 + 5*s**2 - 5. Let t(a) = -3*a**4 + 0*a**2 + 2 - 2*a**2 + 2*a**4 + 2*a**3. Let i = -36 + 26. Let p(q) = i*t(q) - 4*k(q). Factor p(x).
2*x**3*(3*x - 2)
Factor -9/5*p + 0 - 12/5*p**2 - 1/5*p**5 + 2/5*p**3 + 4/5*p**4.
-p*(p - 3)**2*(p + 1)**2/5
Let k = -6 + 8. Let i(t) = 2*t - 4*t + k*t - 1 + t**2. Let m(p) = -11*p**2 - 2*p + 6. Let a(y) = -6*i(y) - m(y). Factor a(v).
v*(5*v + 2)
Let o(q) be the first derivative of 2 + 1/2*q**2 + 1/6*q**3 + 0*q. Factor o(z).
z*(z + 2)/2
Let q(f) be the first derivative of -4*f**5/25 - f**4/4 - f**3/15 + 13. Determine l so that q(l) = 0.
-1, -1/4, 0
Factor -15*j**4 - 3*j**3 + 2*j**2 - j**2 - j**2 - 12*j**5.
-3*j**3*(j + 1)*(4*j + 1)
Suppose 5 - 3 = y. Factor 2/3*c - y*c**2 - 8/3*c**3 + 0.
-2*c*(c + 1)*(4*c - 1)/3
Let d(t) be the third derivative of t**9/151200 - t**8/25200 + t**7/12600 - t**5/60 - 3*t**2. Let o(y) be the third derivative of d(y). Factor o(u).
2*u*(u - 1)**2/5
Let i(m) be the second derivative of m**5/80 - m**3/24 + 14*m. What is h in i(h) = 0?
-1, 0, 1
Let j(i) = 2*i**4 + 4*i**3 - 10*i**2 - 2*i. Let s(v) = v**4 + 4*v**3 - 11*v**2 - 3*v. Let a(d) = 3*j(d) - 2*s(d). Determine o, given that a(o) = 0.
-2, 0, 1
Let s(u) be the third derivative of -1/60*u**6 + 0*