st derivative of 1/24*w**4 - w + 2 - 1/2*w**2 - 1/12*w**3. Let s(q) be the first derivative of i(q). Factor s(g).
(g - 2)*(g + 1)/2
Suppose -4*h = -3*c, -3*h - 3*c = -11 - 10. Let v(s) be the first derivative of 2/15*s**h + 1 + 0*s + 1/10*s**4 - 2/5*s**2. Suppose v(o) = 0. What is o?
-2, 0, 1
Factor 0 - 2/11*d**3 - 6/11*d**2 - 4/11*d.
-2*d*(d + 1)*(d + 2)/11
Let y(l) = -27*l**5 - 45*l**4 - 3*l**3 + 5*l - 5. Let s(u) = -40*u**5 - 68*u**4 - 4*u**3 + 8*u - 8. Let m(p) = 5*s(p) - 8*y(p). Factor m(t).
4*t**3*(t + 1)*(4*t + 1)
Let c = -5 - 1. Let w be (-6)/(-4)*(-16)/c. Let w*t - 5 + 2*t**2 + 4 + 1 = 0. Calculate t.
-2, 0
Let c(d) = 2*d - 9. Let m be c(6). Let q(b) = -b**2 + 4*b + 3. Let f be q(4). Determine s so that s**2 - f + s**3 + m = 0.
-1, 0
Let t(v) = v**3 + 7*v**2 + 5*v - 5. Let s be t(-6). Let w be ((-3)/2)/(-3)*s. Solve -w + g**3 + 1/2*g**4 + 0*g**2 - g = 0.
-1, 1
Suppose -i - 4*w + 12 = 0, w + 2*w = -i + 10. Let m(b) be the first derivative of 2/15*b**3 + 1/10*b**i - 1/5*b**2 - 1 - 2/5*b. Solve m(l) = 0 for l.
-1, 1
Factor 3/5*g - 1/5*g**2 + 4/5.
-(g - 4)*(g + 1)/5
Let j(n) be the second derivative of 3*n**7/77 + 2*n**6/55 - 4*n**5/55 - n**4/11 - n**3/33 + 6*n. Find k such that j(k) = 0.
-1, -1/3, 0, 1
Let q(p) be the second derivative of 4/9*p**4 - 8/45*p**5 + 0 + 2*p - 1/3*p**3 + 1/9*p**2. Factor q(i).
-2*(i - 1)*(4*i - 1)**2/9
Let y = -1933/9 + 215. Factor 0 + 0*h**3 - 4/9*h**4 + 4/9*h**2 + y*h**5 - 2/9*h.
2*h*(h - 1)**3*(h + 1)/9
Suppose -5*h**2 + 8 - 5*h**3 + 4*h + 8*h**2 - 9*h**2 - h**4 = 0. Calculate h.
-2, 1
Let d(o) be the third derivative of -2*o**7/735 - o**6/105 + o**5/105 + o**4/21 - 2*o**2. Suppose d(t) = 0. What is t?
-2, -1, 0, 1
Let u(d) be the first derivative of d**7/4620 + d**6/660 - d**4/33 - d**3/3 - 6. Let w(b) be the third derivative of u(b). Let w(r) = 0. What is r?
-2, 1
Let a(v) = -v**4 - 9*v**3 + 2*v**2 + 2*v + 2. Let x(z) = -z**4 - 18*z**3 + 5*z**2 + 5*z + 5. Let w(j) = -5*a(j) + 2*x(j). Suppose w(k) = 0. Calculate k.
-3, 0
Find s such that -2/17 + 4/17*s - 2/17*s**2 = 0.
1
Let u(g) be the first derivative of -g**6/4 - 3*g**5/10 + 9*g**4/8 + g**3/2 - 3*g**2/2 + 46. Find h such that u(h) = 0.
-2, -1, 0, 1
Suppose 2*n + 8 = 6*n. Find i, given that -4*i**2 - i - 2*i**5 + 0*i**n + 3*i + 4*i**4 = 0.
-1, 0, 1
Solve -32*f**2 - 1429*f + 1445*f - 4*f**3 + 16*f**3 = 0 for f.
0, 2/3, 2
Suppose 0*b**3 + 3/2*b**2 + b - 1/2*b**4 + 0 = 0. Calculate b.
-1, 0, 2
Suppose 8*z - 3*z = 10. Let -2*s + 0*s + 0*s - s**z = 0. What is s?
-2, 0
Suppose -11*y = -5*y - 24. Let r(l) be the first derivative of 1/16*l**y - 1/8*l**2 + 1 + 1/4*l - 1/12*l**3. Factor r(j).
(j - 1)**2*(j + 1)/4
Let t(w) be the third derivative of w**8/3360 - w**7/1260 - w**4/12 + w**2. Let m(s) be the second derivative of t(s). Solve m(h) = 0 for h.
0, 1
Factor 3/2*s**3 - 27/2*s**2 + 12*s + 0.
3*s*(s - 8)*(s - 1)/2
Let c be (-1)/3 + 14/42. Let -1/3 + 1/3*z**2 + c*z = 0. Calculate z.
-1, 1
Let k(s) be the first derivative of -s**6/36 + s**5/15 + s**4/24 - s**3/9 + 14. Determine h so that k(h) = 0.
-1, 0, 1, 2
Determine f, given that -1/8*f**2 - 1/8 - 1/4*f = 0.
-1
Let o be 2/3 - 12/(-9). Let n = 1 + o. Solve -h + h**5 - n*h**3 + 0*h**3 + 2*h + h**3 = 0.
-1, 0, 1
Let i(g) = -g**2 - 20*g - 81. Let q(z) = 3*z**2 + 61*z + 243. Let v(s) = 14*i(s) + 4*q(s). Factor v(y).
-2*(y + 9)**2
Let g(o) be the first derivative of -o**3 + 6*o**2 - 12. Factor g(n).
-3*n*(n - 4)
Let 0*o**2 - o**2 + 5*o**3 - 4*o**3 = 0. Calculate o.
0, 1
Find k, given that 0*k + 2/9*k**4 + 2/9*k**3 - 4/9*k**2 + 0 = 0.
-2, 0, 1
Suppose -2*q + 12 = 2*f, -f - 1 = 4*q - 10. Factor -q - m - 1/4*m**2.
-(m + 2)**2/4
Let k = 2/1449 - -26072/7245. Solve 3/5 - k*l + 27/5*l**2 = 0 for l.
1/3
Find m, given that 4*m**2 + 0 - 1/2*m**3 - 8*m = 0.
0, 4
Suppose -1 = i, z + 8 = 2*z + 4*i. Let b be ((-2)/(-4))/(3/z). Factor 0 - 6 + b*c + c**4 + 5 - 2*c**3.
(c - 1)**3*(c + 1)
Suppose -2*m = -5 - 1. Let u(r) be the second derivative of 0*r**2 - 2*r + 1/48*r**4 - 1/12*r**m + 0. Factor u(c).
c*(c - 2)/4
Let m(s) be the first derivative of 0*s**3 + 0*s**2 + 2/5*s**5 + 0*s**4 - 2 + 1/3*s**6 + 0*s. Suppose m(x) = 0. What is x?
-1, 0
Let d(k) be the first derivative of 2*k**3/15 + 14*k**2/5 + 98*k/5 + 1. Find r, given that d(r) = 0.
-7
Let i = -7 - -11. Solve a**2 - a**5 - 3*a**4 + i*a - a**4 + 3*a**2 - 3*a**3 = 0 for a.
-2, -1, 0, 1
Let a(k) = -3*k**2 + 4*k - 3. Let h be a(2). Let u be (8 + h)/(5/4). Suppose 2/5*t**4 + 0*t**2 + 0 + 0*t - u*t**3 = 0. Calculate t.
0, 2
Find a such that -2*a**3 - 2*a**5 + 5*a**4 - a**4 + 2*a**2 - 2*a**2 = 0.
0, 1
Find k, given that 2*k**2 - 11*k**3 - 6*k**3 + 15*k**3 - 6*k**2 = 0.
-2, 0
Let g(m) = -3*m**3 + 5*m**2 + 4*m + 3. Suppose 5 = -5*y + 20. Let q(i) = i + 1 + y*i**2 + 2*i**2 - 4*i**2. Let l(r) = g(r) - 3*q(r). Factor l(z).
-z*(z - 1)*(3*z + 1)
Let b(x) be the second derivative of -x**5/25 - 2*x**4/15 + 2*x**3/3 + 12*x**2/5 + 12*x. Solve b(w) = 0.
-3, -1, 2
Let y(v) be the second derivative of v**6/75 - v**5/50 - v**4/10 + v**3/15 + 2*v**2/5 + 5*v. Factor y(o).
2*(o - 2)*(o - 1)*(o + 1)**2/5
Let t(z) be the third derivative of -z**8/504 - 2*z**7/315 + z**6/90 + 2*z**5/45 - z**4/36 - 2*z**3/9 - 15*z**2. Let t(v) = 0. What is v?
-2, -1, 1
Let 20*t - 55*t**2 + 35*t**2 + 5 + 35*t**2 = 0. What is t?
-1, -1/3
Let j(h) be the second derivative of -h**7/1260 - h**6/180 - h**5/60 + h**4/12 - 2*h. Let n(g) be the third derivative of j(g). Factor n(q).
-2*(q + 1)**2
Let w(d) be the third derivative of d**9/6048 - d**8/1920 + d**7/2520 + d**4/12 - 2*d**2. Let p(v) be the second derivative of w(v). Factor p(k).
k**2*(k - 1)*(5*k - 2)/2
Let s be (-3)/(9/(-6)*1). Factor 6*i**4 - 10*i**3 - 2*i**5 + 2*i**4 + 2*i**2 + s*i**2.
-2*i**2*(i - 2)*(i - 1)**2
Let o(m) be the first derivative of 4/9*m**3 + 4/3*m**2 + 0*m - 2. Determine x so that o(x) = 0.
-2, 0
Let r(d) be the first derivative of -1/5*d**3 + 3/10*d**2 + 0*d - 4. Suppose r(w) = 0. Calculate w.
0, 1
Factor 8/5*h**4 + 4/5*h**2 + 0*h + 2/5*h**5 + 0 + 2*h**3.
2*h**2*(h + 1)**2*(h + 2)/5
Let m(k) = 2*k - 4. Suppose 2*o + 2*o - 12 = 0. Let w be m(o). Factor 0*q**2 - 2*q**w - 6*q**2 + 2*q.
-2*q*(4*q - 1)
Suppose 1/3*u**3 - 1/3*u**2 + 0 + 0*u = 0. What is u?
0, 1
Factor 0 - 1/4*x**2 + 1/4*x.
-x*(x - 1)/4
Let l(x) = 4*x**2 + 2*x + 3. Let i(a) = -5*a**2 - 3*a - 4. Suppose 5*u - 2*c = 35, 2*u + 5*c + 15 = -0*u. Let t(h) = u*i(h) + 6*l(h). Solve t(k) = 0.
-2, -1
Let r(g) be the third derivative of -g**6/96 - g**5/120 - 27*g**2. Factor r(w).
-w**2*(5*w + 2)/4
Let b(g) be the second derivative of g**6/60 - 3*g**5/40 + g**4/8 - g**3/12 - 4*g. Factor b(n).
n*(n - 1)**3/2
Let y(c) = -1. Let f(x) = 2*x**2 - 14*x + 22. Let d(j) = -2*f(j) - 20*y(j). Factor d(v).
-4*(v - 6)*(v - 1)
Let -34/7*z**3 - 10/7*z**4 - 22/7*z - 4/7 - 6*z**2 = 0. What is z?
-1, -2/5
Let z(b) be the first derivative of -b**3 - 9*b**2/2 - 6*b - 6. Factor z(p).
-3*(p + 1)*(p + 2)
Let o be (2/12)/(-2 + (-20)/(-6)). Let n(h) be the first derivative of -o*h**2 - 1/12*h**3 - 3 + 0*h. Factor n(v).
-v*(v + 1)/4
Factor -5*q - 18*q**3 + 22*q**3 + 4*q**4 - 4*q**2 + q.
4*q*(q - 1)*(q + 1)**2
Let -10*c**2 - 6*c + 0 - 2/3*c**4 - 14/3*c**3 = 0. Calculate c.
-3, -1, 0
Let v be (-21)/21 + (0 - -1). Factor 0*l - 2/3*l**4 - 2/3*l**3 + v*l**2 + 0.
-2*l**3*(l + 1)/3
Let r(n) be the second derivative of 2*n + 0 - n**2 - 1/3*n**4 + 3/2*n**3. Factor r(u).
-(u - 2)*(4*u - 1)
Let u(r) be the first derivative of 21*r**3 - 39*r**2 + 24*r + 14. Factor u(m).
3*(3*m - 2)*(7*m - 4)
Let f(p) be the first derivative of -p**3 + 3*p**2/2 + 6*p + 10. Let f(x) = 0. Calculate x.
-1, 2
Factor 2*v**3 - 2*v**2 - 3*v**3 + v**4 + 0*v**3.
v**2*(v - 2)*(v + 1)
Suppose -4*n - 2 = 5*w, -3*w = 3*n - n + 2. Suppose 0*i**2 + 5*i**n - i - 6*i**2 = 0. Calculate i.
-1, 0
Let b = 11 - 7. Let k = b - 18/5. Factor -4/5*i + 2/5*i**2 + k.
2*(i - 1)**2/5
Let t(q) be the third derivative of -q**6/30 + q**5/5 - 2*q**2. Factor t(s).
-4*s**2*(s - 3)
Let c be (-3521)/(-42) + 1/6. Let s = 590/7 - c. Factor -s*t**2 - 4/7*t - 2/7.
-2*(t + 1)**2/7
Let z be 14/(-10) - 12/(-30). Let v = z - -5. Factor 2/3 - 7/3*k**v + 1/3*k - 5*k**2 + 19/3*k**3.
-(k - 1)**3*(7*k + 2)/3
Let v = -4 - -7. Factor 4*i**3 + 16*i**v + i**3 - 15*i**4 + 49*i**2 - 55*i**2.
-3*i**2*(i - 1)