 (22/(-33))/(4/(-21)). Factor -9/2*c**2 - j*c**3 - 1/2 - 5/2*c - c**4.
-(c + 1)**3*(2*c + 1)/2
Suppose 2*w - 12 = 5*w + 4*a, -27 = 3*w - a. Let h = w - -10. Factor -25/4*o**4 - 1 + 15/2*o**3 - 3*o + 11/4*o**h.
-(o - 1)**2*(5*o + 2)**2/4
Let y(s) be the first derivative of s**8/4200 - s**6/900 + 4*s**3/3 - 1. Let h(u) be the third derivative of y(u). What is l in h(l) = 0?
-1, 0, 1
Let y(s) = -300*s**4 + 840*s**3 - 828*s**2 + 336*s - 27. Let f(t) = 75*t**4 - 210*t**3 + 207*t**2 - 84*t + 7. Let c(k) = 21*f(k) + 5*y(k). Factor c(i).
3*(i - 1)**2*(5*i - 2)**2
Let v = -466 + 2331/5. Find i such that 0*i - v*i**2 + 0*i**3 + 0 + 1/5*i**4 = 0.
-1, 0, 1
Let u(h) = -h**2 + h + 1. Let y(q) = q**3 + 3*q**2 + 5*q + 8. Let r(n) = -5*u(n) + y(n). Let a be r(-8). Factor 2/9*g + 2/9*g**2 - 2/9*g**a - 2/9*g**4 + 0.
-2*g*(g - 1)*(g + 1)**2/9
Let u(g) be the third derivative of 1/4*g**5 + 0 - 1/40*g**6 + 0*g + 3/2*g**3 + 4*g**2 - 7/8*g**4. Suppose u(l) = 0. Calculate l.
1, 3
Let y(f) be the first derivative of f**6/165 - f**5/55 + 2*f**3/33 - f**2/11 - 7*f - 2. Let v(r) be the first derivative of y(r). Solve v(j) = 0 for j.
-1, 1
Let p = 117 - 115. Factor 0 + 6/11*w**4 - 6/11*w**3 + 0*w + 2/11*w**p - 2/11*w**5.
-2*w**2*(w - 1)**3/11
Let q(p) be the second derivative of 0 + 3/20*p**5 + 1/8*p**4 - 1/2*p**3 - 3/4*p**2 - 3*p. What is s in q(s) = 0?
-1, -1/2, 1
Let -4*t**3 + 1 + t - 4*t**2 + 3*t**2 + 2*t**3 + t**3 = 0. What is t?
-1, 1
Let w(o) be the second derivative of -o**5/5 - 7*o**4/6 - 7*o**3/3 - 2*o**2 - 15*o. Factor w(j).
-2*(j + 1)*(j + 2)*(2*j + 1)
Suppose -3*j - 4*f + 7 = -0*j, 3*j - 2*f + 17 = 0. Let m be 1 + 4*j/(-6). Factor 20*o**2 + o - 4*o - 25*o**m - o.
-o*(5*o - 2)**2
Let l(v) be the second derivative of v**6/10 + 3*v**5/10 - v**4/4 - v**3 - 5*v. Factor l(a).
3*a*(a - 1)*(a + 1)*(a + 2)
Let v = 77 + -73. Factor 2*f**2 - 14/9*f - 10/9*f**3 + 2/9*f**v + 4/9.
2*(f - 2)*(f - 1)**3/9
Let m(c) be the third derivative of -c**7/525 + c**5/150 - 53*c**2. Find s such that m(s) = 0.
-1, 0, 1
Let o(u) be the second derivative of u**4/42 + u**3/21 - 2*u**2/7 - 18*u. Let o(z) = 0. Calculate z.
-2, 1
Let u = -21 - -26. Suppose -4*s + u*s - 3 = 0. Solve 0 + 2/11*c**s - 2/11*c**2 + 0*c = 0 for c.
0, 1
Let b = -138 - -143. Factor 0*k + 2*k**4 + 0 + 2/3*k**b + 0*k**2 + 4/3*k**3.
2*k**3*(k + 1)*(k + 2)/3
Let i(n) = -n**2 - n - 1. Let g(m) = 20*m**2 + 55*m - 15. Let l(v) = -g(v) - 25*i(v). Factor l(o).
5*(o - 4)*(o - 2)
Let l(r) be the second derivative of r**6/90 - r**4/12 + r**3/9 + 4*r. Factor l(g).
g*(g - 1)**2*(g + 2)/3
Let i be ((-1)/2)/(2/(-36)). Let t = -5 + i. Let 1/2*f - 1/2*f**t - 3/2*f**2 + 3/2*f**3 + 0 = 0. What is f?
0, 1
Let s(u) be the third derivative of -5/8*u**4 - 7/20*u**5 + u**3 + 0*u - 4*u**2 + 0. Let s(b) = 0. What is b?
-1, 2/7
Let m(s) be the first derivative of s**4/24 + s**3/9 + s**2/12 - 11. Determine o so that m(o) = 0.
-1, 0
Suppose 35 = 5*d - q + 6*q, d + 13 = 4*q. Factor 6*f + 2 - 6 + f**3 + 6*f**4 + 6*f**2 - 10*f**3 - 5*f**d.
2*(f - 1)**3*(3*f + 2)
Let q be (-18)/(-10)*15/15. Let z(x) be the first derivative of -q*x**5 - 27/4*x**3 - 3/4*x + 93/16*x**4 + 27/8*x**2 - 1. Determine g, given that z(g) = 0.
1/4, 1/3, 1
Let f = 23/2 + -11. What is r in -1/2*r**4 + 1/2*r + 0 + f*r**2 - 1/2*r**3 = 0?
-1, 0, 1
Suppose -2*y + 0*y + 6 = 0. Solve 3*h**y - 2*h - 2*h**5 + 2*h**3 - 4*h**3 + 3*h**3 = 0.
-1, 0, 1
Let v(i) be the first derivative of 3*i**5/5 + 21*i**4/2 + 45*i**3 + 78*i**2 + 60*i - 70. Factor v(x).
3*(x + 1)**2*(x + 2)*(x + 10)
Let k(z) be the third derivative of z**7/70 - 3*z**6/40 + 3*z**5/20 - z**4/8 + z**2. Factor k(p).
3*p*(p - 1)**3
Let h(r) be the first derivative of r**6/6 - 2*r**5/5 + r**4/4 + 3. What is c in h(c) = 0?
0, 1
Suppose 0 = 7*g + 7*g - 42. Let s(v) be the second derivative of 0 + 1/60*v**4 + 1/10*v**2 - 1/15*v**g - 2*v. Determine t, given that s(t) = 0.
1
Let q(u) = u**3 - 8*u**2 - u + 10. Let k be q(8). Determine g so that -2*g**5 + 7*g**3 - 2 - g**3 - k*g**3 - 2*g + 4*g**2 - 2*g**4 = 0.
-1, 1
Let a = -6 - -9. Determine s so that 2*s**4 + s - 2*s**2 - 4*s**4 + 4*s**a - s = 0.
0, 1
Let q(d) be the second derivative of d**3 - 1/4*d**4 + 0 + 2*d - 3/2*d**2. Factor q(t).
-3*(t - 1)**2
Let k(c) be the first derivative of 3*c**4/14 + 6*c**3/7 + 6*c**2/7 + 4. Find d such that k(d) = 0.
-2, -1, 0
Let f(k) = -3*k**2 - 10*k + 13. Let s(o) = -1. Let c(q) = -3*f(q) - 15*s(q). Factor c(g).
3*(g + 4)*(3*g - 2)
Let h(f) be the second derivative of -f**7/63 - f**6/45 + f**5/30 + f**4/18 - 11*f. Let h(z) = 0. Calculate z.
-1, 0, 1
Let o(v) be the first derivative of v**6/540 + v**5/270 - v**4/54 + 11*v**2/2 - 6. Let p(l) be the second derivative of o(l). Factor p(i).
2*i*(i - 1)*(i + 2)/9
Let d(t) = -t + 3. Let a be (-1)/(-4)*(-4 - -16). Let b be d(a). Determine i, given that 0*i**2 + 4/3*i**4 + b + 2/3*i**5 + 2/3*i**3 + 0*i = 0.
-1, 0
Let h = 65 - 63. Let z(w) be the second derivative of -1/30*w**6 + 1/6*w**3 + 0 + 1/12*w**4 - 1/20*w**5 - h*w + 0*w**2. Factor z(q).
-q*(q - 1)*(q + 1)**2
Let o(y) be the first derivative of -y**6/720 - y**5/240 + y**3/3 + 3. Let q(z) be the third derivative of o(z). Solve q(g) = 0 for g.
-1, 0
Let s be 1 + ((-2)/(-2) - 0). What is m in 3*m**s + 8*m**4 + 3*m**3 - 3*m - 9*m**4 - 2*m**4 = 0?
-1, 0, 1
Let g = 818 - 815. Factor -1/2*n**2 - 1/2*n**g + 0 + 0*n.
-n**2*(n + 1)/2
Let a(m) be the third derivative of m**8/1008 + 2*m**7/315 + m**6/90 - m**5/90 - 5*m**4/72 - m**3/9 + 12*m**2. Factor a(u).
(u - 1)*(u + 1)**3*(u + 2)/3
Let n(k) be the second derivative of -1/60*k**4 - 1/6*k**3 + 0 + 2*k + 0*k**2 + 1/900*k**6 + 0*k**5. Let p(v) be the second derivative of n(v). Factor p(q).
2*(q - 1)*(q + 1)/5
What is b in 8/7*b - 16/7 - 2/7*b**3 + 4/7*b**2 = 0?
-2, 2
Let x(t) be the third derivative of -t**5/60 + 5*t**4/6 - 50*t**3/3 + 41*t**2. Let x(y) = 0. Calculate y.
10
Let x(j) = -j**2 + j + 1. Let y(u) be the second derivative of -u**5/20 - u**4/4 + u**3 + 2*u**2 + 3*u. Let f(v) = -4*x(v) + y(v). Factor f(s).
-s*(s - 2)*(s + 1)
Determine r so that 1/3 - 1/3*r**3 + 1/3*r + 2/3*r**4 - r**2 = 0.
-1, -1/2, 1
Let b(q) = 8*q**5 - 6*q**4 + 11*q**3 + 3*q**2 - q + 3. Let s(u) = u**5 - u**4 + u**3 + u**2. Let a(t) = 2*b(t) - 18*s(t). Solve a(i) = 0 for i.
-1, 1, 3
Let m(z) be the third derivative of 14/15*z**5 + 0*z**3 + 0*z + 0 - 3*z**2 - 1/3*z**4 + 7/24*z**8 - 4/15*z**7 - 3/4*z**6. Let m(g) = 0. Calculate g.
-1, 0, 2/7, 1
Let y(w) be the first derivative of -w**7/21 + 3*w**5/10 - w**4/3 + 3*w - 1. Let c(h) be the first derivative of y(h). Determine n, given that c(n) = 0.
-2, 0, 1
Let p be (2/6)/((-2)/(-12)). Let 2 + 2 - g**p - g**2 + 2*g - 4*g = 0. What is g?
-2, 1
Find n, given that 0*n**4 + 0 - 1/3*n**5 + n**3 + 0*n - 2/3*n**2 = 0.
-2, 0, 1
Let w = -7 + 12. Suppose 2*y + w*k - 17 = 0, y - 2*y + k - 2 = 0. Factor -8*q + y - 15*q**4 - 1 + 24*q**3 - 3*q**2 + 2*q.
-3*q*(q - 1)**2*(5*q + 2)
Let u(g) = g + 4. Let k be u(-4). Suppose k = -5*y + 6 - 1. Factor -3*n**2 - y - n + 0*n - 2*n - n**3.
-(n + 1)**3
Let w(f) be the second derivative of f**7/70 + 4*f**6/75 + 3*f**5/50 - f**3/30 - 3*f. Factor w(a).
a*(a + 1)**3*(3*a - 1)/5
Suppose -5*i + 4 = -6. Suppose 0 = -5*k, -i*y - 2*y + 4*k = -8. Suppose 0*s**5 + s + 2*s**y - 3*s**5 - 3*s**4 + s**4 + 2*s**5 = 0. What is s?
-1, 0, 1
Solve 4/11*v**3 + 8/11 - 16/11*v - 2/11*v**4 + 6/11*v**2 = 0 for v.
-2, 1, 2
Let a(b) = -2*b**3 - 2*b**2 + 2*b. Let d be a(-2). Suppose 2*h - d*h = -14. Determine r, given that 0*r**3 + 4*r - 2 + 4*r**3 + 3*r**3 + h*r - 16*r**2 = 0.
2/7, 1
Let m(i) be the first derivative of -1/15*i**5 + 1/9*i**3 - 2 + 5/12*i**4 - 4/3*i**2 + 4/3*i - 1/18*i**6. Determine h, given that m(h) = 0.
-2, 1
Suppose -5*b = -2*c - b + 4, -5*c - 3*b = -23. Find r such that 1/2*r + 0 + 11/4*r**2 + c*r**3 + 7/4*r**4 = 0.
-1, -2/7, 0
Let v(l) be the first derivative of l**3/2 + 27*l**2/2 + 243*l/2 - 25. Factor v(k).
3*(k + 9)**2/2
Let d(b) = 3*b**3 - 2 - 6*b**3 + 2*b**3 - 5*b**3 + 2*b**2 - 8*b. Let j(f) = -f. Let c(h) = -2*d(h) + 28*j(h). Factor c(x).
4*(x - 1)*(x + 1)*(3*x - 1)
Factor -121/3*o**3 - 4/3*o + 0 - 44/3*o**2.
-o*(11*o + 2)**2/3
Let h(i) = i. Let z(o) = -3*o**2 - 9*o. Let q(y) = 3*y**3 - y**2 - y. Let r be q(-1). Let l(g) = r*h(g) - z(g). Let l(k) = 0. Calculate k.
-