/((-14)/12 - -1). Factor -2/3*s + t + 2/3*s**2 + f*s**3 - 2/3*s**4.
-2*s*(s - 1)**2*(s + 1)/3
Let a(h) be the first derivative of -2*h**4/3 + 2*h**3/9 + 4*h**2/3 - 2*h/3 + 2. Suppose a(s) = 0. Calculate s.
-1, 1/4, 1
Let t(a) be the second derivative of 0 - 6*a - 1/48*a**4 - 1/24*a**3 + 0*a**2. Solve t(i) = 0 for i.
-1, 0
Let f(q) = 4*q**3 + 12*q**2 - 6*q - 10. Let n(d) = 12*d**3 + 36*d**2 - 17*d - 31. Let i(j) = -17*f(j) + 6*n(j). Suppose i(o) = 0. Calculate o.
-2, 1
Let k be ((28/(-12) - -3)*-3)/(-4). Determine p, given that k*p - 1/4*p**2 - 1/4 = 0.
1
Suppose -510 = -7*q + 2*q. Let h = q - 712/7. Let -h*p**2 - 2/7*p**3 + 2/7*p + 2/7 = 0. What is p?
-1, 1
Let u(n) = 4*n**3 - 111*n**2 + 661*n - 587. Let f(x) = -x**3 + 28*x**2 - 165*x + 147. Let c(r) = -22*f(r) - 6*u(r). Factor c(z).
-2*(z - 12)**2*(z - 1)
Let c(u) be the first derivative of 0*u**2 - 1/3*u**4 - u + 1/10*u**5 - 2 + 0*u**3. Let q(h) be the first derivative of c(h). Let q(m) = 0. What is m?
0, 2
Let y(w) be the third derivative of w**8/616 - w**7/1155 - 3*w**6/110 + w**5/11 - 17*w**4/132 + w**3/11 - 3*w**2. Find n, given that y(n) = 0.
-3, 1/3, 1
Let d be (3 - 1)/(23/23). Let p(a) be the first derivative of -2/9*a**3 + 2 - 2/3*a - 2/3*a**d. Factor p(x).
-2*(x + 1)**2/3
Let a(c) be the third derivative of 1/60*c**5 + 0*c + 1/24*c**4 + 1/360*c**6 - 3*c**2 + 1/18*c**3 + 0. Let a(m) = 0. Calculate m.
-1
Let b = -7 + 9. Factor 3 - 3*v**2 - 2 - 2*v - v**2 + 5*v**b.
(v - 1)**2
Let w(r) be the first derivative of 7*r**3/5 + 23*r**2/10 + 2*r/5 - 5. Let w(x) = 0. Calculate x.
-1, -2/21
Let d = -44 - -62. Suppose d - 8 = 5*b. Factor 2/7*l**4 + 0 + 0*l**3 + 0*l - 2/7*l**b.
2*l**2*(l - 1)*(l + 1)/7
Factor 9/5*i**3 + 0*i - 3/5*i**4 + 0 + 0*i**2.
-3*i**3*(i - 3)/5
Suppose q + 3*u = 0, -4*q + 2*u - 52 + 10 = 0. Let f be 9 + q + 2/4. Determine l so that -f*l**3 + 0 + l - 1/2*l**2 = 0.
-2, 0, 1
Let g be (12/40)/((-12)/(-16)). Factor 4/5*p + 2/5 + g*p**2.
2*(p + 1)**2/5
Let g(j) = -j**5 - 17*j**4 - 30*j**3 - 32*j**2 - 13*j - 1. Let b be 6/9 - (-4)/3. Let m(p) = -p**5 + p**4 + p**2 - p - 1. Let w(v) = b*m(v) + g(v). Factor w(k).
-3*(k + 1)**5
Let a(x) = -15*x**2 + 4*x + 5. Let q(z) = 1 + 7*z**2 + 3*z + 0 - 3 - 5*z. Let f(h) = 2*a(h) + 5*q(h). Find s, given that f(s) = 0.
0, 2/5
Let t(s) be the third derivative of 1/168*s**8 + 1/105*s**7 + 0*s**3 - 1/30*s**5 + 0*s**4 - 3*s**2 + 0 + 0*s - 1/60*s**6. Let t(c) = 0. What is c?
-1, 0, 1
Let j(w) = w**5 - w**4 + w**3 + w**2. Let s(o) = -3*o**5 + 5*o**4 - 11*o**3 - o**2. Let l(q) = 10*j(q) + 2*s(q). Find f such that l(f) = 0.
-2, 0, 1
Let j be (-10)/(-55) - 64/(-11). Let n(q) be the third derivative of 2/27*q**3 - 1/108*q**j - 2*q**2 + 5/108*q**4 + 0*q + 0 - 1/135*q**5. Factor n(o).
-2*(o - 1)*(o + 1)*(5*o + 2)/9
Let a(l) be the first derivative of l**6/6 + 7*l**5/5 + 9*l**4/2 + 20*l**3/3 + 4*l**2 - 23. Factor a(j).
j*(j + 1)*(j + 2)**3
Let k(u) be the first derivative of 0*u - 1/12*u**3 + 0*u**2 + 6. Factor k(y).
-y**2/4
Let p be 22/4 - (-12)/(-8). Solve -3*x**p - 2*x**2 + 0*x**4 - 6*x**3 - 3*x**4 - 2*x**5 = 0 for x.
-1, 0
Let l(v) be the first derivative of v**7/63 + v**6/45 + 3*v - 3. Let u(a) be the first derivative of l(a). Find b such that u(b) = 0.
-1, 0
Let i = -34 - -35. Let j be -2*4/(-13 + i). Solve -2/9*z**2 - 8/9*z - j = 0.
-3, -1
Let b(o) be the third derivative of -o**6/150 - 2*o**5/75 + 4*o**2. Determine l, given that b(l) = 0.
-2, 0
Suppose 0 = i + 47 - 18. Let x = i - -31. Factor -9*c - 6 - 9/2*c**x - 3/4*c**3.
-3*(c + 2)**3/4
Let y(h) be the first derivative of -2*h**5/5 - h**4 + 2*h**2 + 2*h - 22. Factor y(s).
-2*(s - 1)*(s + 1)**3
Suppose 5*h - 5 = 15. Suppose 2*c = -2*w + 16, -2*c + 7*w - 2*w - 19 = 0. Solve -b**c + 4 + b**h - 4 = 0.
0, 1
Factor 16/5*q - 12/5 - 4/5*q**2.
-4*(q - 3)*(q - 1)/5
Suppose 3*g - 2 = -4*v + 5*g, 0 = -5*g - 5. Suppose v = -7*z + 2*z + 20. What is p in 0 + 0*p + 6/7*p**3 + 2/7*p**5 + 6/7*p**z + 2/7*p**2 = 0?
-1, 0
Suppose -19*g**4 - 395*g**2 + 55*g + 410*g**2 - 80*g**3 - 20 - g**4 = 0. What is g?
-4, -1, 1/2
Let i(w) be the second derivative of w**4/42 + w**3/21 - 2*w**2/7 - w. Let i(h) = 0. What is h?
-2, 1
Let c(j) be the second derivative of j**7/21 - j**6/15 - j**5/10 + j**4/6 - 8*j. Factor c(d).
2*d**2*(d - 1)**2*(d + 1)
Let a = 1065 - 555. Let r = a - 3564/7. Factor -2/7*u**2 - r*u - 4/7.
-2*(u + 1)*(u + 2)/7
Let v = 19/3 - 6. Let r(o) be the first derivative of 0*o**2 + 0*o - 2/15*o**5 - v*o**4 + 1 - 2/9*o**3. Factor r(s).
-2*s**2*(s + 1)**2/3
Suppose 4*g - 4*c + 4 = 0, 4*g - c - 7 = -2. Let t be 1/(-3) + 10/12. Solve 3/2 + t*z**2 + g*z = 0 for z.
-3, -1
Let x(a) be the second derivative of -1/54*a**4 + 1/27*a**3 + 0 + 0*a**2 + a. Suppose x(v) = 0. What is v?
0, 1
Let i(w) be the third derivative of -w**5/15 - 7*w**4/3 + 10*w**3 + 6*w**2 - 5*w. Let i(d) = 0. What is d?
-15, 1
Let x(c) be the first derivative of 0*c + 7 - 3/2*c**2 - 3/4*c**4 + 2*c**3. Let x(q) = 0. Calculate q.
0, 1
Let v(x) be the second derivative of -3*x**4 - 3*x**3 + 5*x**2/2 - 6*x. Let i(b) = 108*b**2 + 53*b - 14. Let s(o) = 6*i(o) + 17*v(o). Let s(q) = 0. What is q?
-1/6
Let r be 10/(-4)*(-1)/5. Suppose 4*w = 652 - 644. Factor 0 + r*n**w - 1/2*n.
n*(n - 1)/2
Let h(o) = -o**3 - 4*o**2 - o + 4. Let g be h(-3). Let p be ((-6)/(-45))/(g/(-10)). Factor -k + 2/3*k**3 - p*k**2 - 1/3 + k**4 + 1/3*k**5.
(k - 1)*(k + 1)**4/3
Let i(u) be the second derivative of -u**5/110 + u**4/66 - 13*u. Factor i(t).
-2*t**2*(t - 1)/11
Let f be ((-4)/22 + (-41)/(-2706))/(-1). Solve 0 - f*m**2 - 1/3*m = 0 for m.
-2, 0
Let d(y) = y**3 - 12*y**2 + 11*y + 3. Let v be d(11). Let r(j) be the second derivative of 1/8*j**2 + 0 - 1/48*j**4 - 1/80*j**5 + 1/24*j**v + 2*j. Factor r(m).
-(m - 1)*(m + 1)**2/4
Let s(b) be the second derivative of b**4/30 + b**3/15 - 2*b**2/5 - 3*b. Let s(k) = 0. What is k?
-2, 1
Suppose -2*g + 0 = -4. Let r = -150/7 - -22. Determine z, given that r - 2/7*z**g - 2/7*z = 0.
-2, 1
Let d(r) = -r**2 + 5*r + 3. Let z be d(5). Let m(g) be the first derivative of -1 - 1/2*g**2 + 1/6*g**z + 0*g. Let m(q) = 0. What is q?
0, 2
Factor 2/7*v**5 + 0*v - 2/7*v**3 - 2/7*v**2 + 0 + 2/7*v**4.
2*v**2*(v - 1)*(v + 1)**2/7
Let a(b) be the third derivative of 0*b**3 + 0 - 1/70*b**7 + 0*b**4 + 3*b**2 + 0*b + 1/40*b**6 + 0*b**5. Suppose a(u) = 0. What is u?
0, 1
Let 0 - 4/5*j - 2/5*j**2 = 0. What is j?
-2, 0
Let v(l) = -l**3 + 3*l**2 + 3*l - 1. Let o(p) = -p**3 + p. Let f(y) = -3*o(y) + v(y). Factor f(u).
(u + 1)**2*(2*u - 1)
Let j be 2/(-5) + 17/5. Factor 0*y**2 - 2 - y**3 + 1 - j*y - 3*y**2.
-(y + 1)**3
Let f be (-1)/((-3)/((-12)/(-1))). Find u, given that f*u**3 + 4*u**4 + 193*u - 4*u**2 - 193*u - 4*u**5 = 0.
-1, 0, 1
Let l(a) be the third derivative of -a**8/84 + a**6/15 - a**4/6 - 14*a**2. What is j in l(j) = 0?
-1, 0, 1
Let k(u) be the second derivative of -13*u**5/20 + 19*u**4/12 - u**3 - u. Let q(x) = 9*x**3 - 13*x**2 + 4*x. Let j(w) = -5*k(w) - 7*q(w). Solve j(r) = 0 for r.
0, 1
Let p(j) be the third derivative of -j**7/8820 + j**4/12 - j**2. Let r(t) be the second derivative of p(t). Suppose r(b) = 0. What is b?
0
Let y(z) be the second derivative of z**5/2 - 7*z**4/12 - 2*z**3/3 + z**2/2 - 6*z. Find u, given that y(u) = 0.
-1/2, 1/5, 1
Suppose -11 = -3*g - 5. Let a be (2/(-5))/((-6)/10). Solve 0*h - a*h**g + 0 = 0.
0
Let m(b) = 2*b**2 + 8*b + 3. Let s be m(-6). Suppose p - 5*j - s = 0, p = -3*j - 0 - 13. Factor r**2 + 4*r**3 + 3*r - 5*r - 1 - p*r.
(r - 1)*(r + 1)*(4*r + 1)
Let p = 13/190 - -5/38. Let 0 - p*b**3 + 2/5*b**2 + 0*b = 0. Calculate b.
0, 2
Let t be ((-6)/15)/((-4)/20). Determine p, given that t*p - 4 - 1/4*p**2 = 0.
4
Let d(r) be the first derivative of r**7/28 + r**6/20 + 4*r + 6. Let h(l) be the first derivative of d(l). Solve h(y) = 0 for y.
-1, 0
Suppose -5*m - 5*d = -15, 2*d + 3 = m + d. Suppose -w + y + 4*y = 15, -5*y = 3*w - 15. Solve w*v - 1/2*v**2 + 3/4*v**m + 0*v**4 + 0 - 1/4*v**5 = 0.
-2, 0, 1
Suppose -2*u = -4*u + 4. Let k = 2 + 1. Suppose 2*g**k + g**2 - g**2 - 2*g**u = 0. What is g?
0, 1
Let h(d) be the first derivative of 1/4*d**4 - 3*d + 4 - 1/3*d**3 - 5/2*d**2. Factor h(p).
(p - 3)*(p + 1)**2
Let q(g) be the first derivative of -1/6*g**3 - 2 + 0*g - 1/8*g**2 - 1/16*g**4. Factor q(r).
-r*(r + 1)**2/4
Let s(c) be the secon