Factor -2 - 2*n - 1/2*n**c.
-(n + 2)**2/2
Let d(u) be the first derivative of 0*u**2 + 2 + 1/6*u**4 + 0*u + 0*u**5 - 1/9*u**6 + 0*u**3. Find q, given that d(q) = 0.
-1, 0, 1
Let q = -2138 - -57746/27. Let d(f) be the first derivative of -2/9*f**5 - q*f**3 + 5/9*f**2 + 1/27*f**6 - 1 + 5/9*f**4 - 2/9*f. Factor d(m).
2*(m - 1)**5/9
Let w(o) be the third derivative of -o**5/30 - o**4/6 + 28*o**2. Factor w(p).
-2*p*(p + 2)
Let t = -41279/60 - -688. Let o(r) be the third derivative of 0*r + r**2 + 0 - t*r**4 - 1/150*r**5 + 0*r**3. Factor o(c).
-2*c*(c + 1)/5
Factor -4*d + 11/3 + 1/3*d**2.
(d - 11)*(d - 1)/3
Let k be 24/4 + -2*2. Let z(q) be the second derivative of -1/50*q**5 + 0 + 2*q + 1/10*q**4 + 0*q**k - 2/15*q**3. What is l in z(l) = 0?
0, 1, 2
Let t = -12 + 25/2. Let x(o) be the second derivative of -o + 1/24*o**4 + 1/4*o**3 + 0 + t*o**2. Factor x(a).
(a + 1)*(a + 2)/2
Let f(q) be the second derivative of -1/90*q**5 - q**3 + 0 - 2*q - 1/6*q**4 - 2*q**2. Let u(c) be the first derivative of f(c). Find a such that u(a) = 0.
-3
Let k(z) be the first derivative of -5*z**5 - 65*z**4/4 - 20*z**3/3 + 10*z**2 + 30. Factor k(t).
-5*t*(t + 1)*(t + 2)*(5*t - 2)
Let r(h) = 3*h**2 + 10*h. Let o(q) = 24*q**2 + 81*q. Suppose 4*s + s - 10 = 0. Suppose -s*n - 76 = -10. Let c(j) = n*r(j) + 4*o(j). Let c(d) = 0. Calculate d.
-2, 0
Let t(f) be the second derivative of -1/18*f**4 - 3*f + 0*f**2 + 1/30*f**5 - 1/9*f**3 + 1/45*f**6 + 0. Factor t(l).
2*l*(l - 1)*(l + 1)**2/3
Suppose 8/11 + 2/11*j**2 - 8/11*j = 0. What is j?
2
Let n(f) be the third derivative of f**9/151200 - f**8/8400 + f**7/1050 - f**6/225 - f**5/15 + 4*f**2. Let y(s) be the third derivative of n(s). Factor y(r).
2*(r - 2)**3/5
Let m(z) be the third derivative of z**6/420 - z**5/210 - z**4/84 + z**3/21 - z**2. Solve m(q) = 0.
-1, 1
Let m(n) = -10*n**2 + n + 7. Let l(r) = -21*r**2 + 3*r + 15. Let p(f) = 2*f. Let v be p(-2). Let q(t) = v*l(t) + 9*m(t). Factor q(z).
-3*(z + 1)*(2*z - 1)
Let l = 13 + -21. Let s(b) = -11*b**3 - 6*b**2 + 5*b + 8. Let q(i) = -4*i**3 - 2*i**2 + 2*i + 3. Let h(r) = l*q(r) + 3*s(r). Factor h(d).
-d*(d + 1)**2
Let y(h) be the third derivative of 1/270*h**5 - 1/1620*h**6 - 1/108*h**4 + 1/2*h**3 - h**2 + 0 + 0*h. Let k(b) be the first derivative of y(b). Factor k(m).
-2*(m - 1)**2/9
Let w(k) be the third derivative of k**8/6720 + k**7/840 + k**6/288 + k**5/240 + k**3/3 - 2*k**2. Let o(a) be the first derivative of w(a). Factor o(r).
r*(r + 1)**2*(r + 2)/4
Let h(z) be the second derivative of z**6/90 + z**5/60 - z**4/12 - z**3/6 + 2*z. Let p(l) be the second derivative of h(l). Find s, given that p(s) = 0.
-1, 1/2
Let l(f) be the third derivative of -f**7/42 - f**6/24 + f**5/12 + 5*f**4/24 + 15*f**2. Factor l(y).
-5*y*(y - 1)*(y + 1)**2
Let z be -1*(-3 - -5)*-2. Let c(t) be the first derivative of 1/3*t**3 + 0*t + 0*t**2 + 1/4*t**z + 2. Let c(k) = 0. Calculate k.
-1, 0
Suppose x + 40 = 2*m - 4*m, 2*x + 5*m = -80. Let f be x/(-6)*12/10. Determine c so that -4 - 7*c + 6 + c**2 - 15*c**2 - f*c**3 + 3*c = 0.
-1, 1/4
Let i(u) be the first derivative of 2*u**5/95 - u**4/19 - 2*u**3/19 + 8. Factor i(k).
2*k**2*(k - 3)*(k + 1)/19
Let a(y) be the second derivative of -y**4/9 + 16*y**3/9 - 32*y**2/3 - 4*y. Let a(s) = 0. Calculate s.
4
Let u(q) = -q**2 - 5*q + 6. Let r be u(-7). Let f be (-12)/r - (0 - -1). Factor f - w + 1/2*w**2.
(w - 1)**2/2
Let i(u) be the first derivative of u**4/18 + 2*u**3/27 - u**2/9 - 2*u/9 - 4. Factor i(z).
2*(z - 1)*(z + 1)**2/9
Let g = -42 + 23. Let i = g - -23. Suppose -1/2*w**i + 0*w**3 + 0*w + 0 + 1/2*w**2 = 0. Calculate w.
-1, 0, 1
Let c(g) be the third derivative of 0 + 63/20*g**7 + 1/4*g**4 - 21/40*g**6 - 83/40*g**5 + 0*g + 5*g**2 + g**3. Find u such that c(u) = 0.
-2/7, 1/3
Factor -3/4*g + 0 + 9/4*g**2.
3*g*(3*g - 1)/4
Let i be (-5 - (-5 - 0))/4. Let g(j) be the third derivative of 0*j + i - 1/7*j**3 - 4*j**2 - 5/84*j**4 - 1/210*j**5 + 1/420*j**6. What is o in g(o) = 0?
-1, 3
Let w(l) be the first derivative of l**3/12 - l**2/4 + l/4 + 1. Factor w(g).
(g - 1)**2/4
Let b be 2/(-7) - (-1 - 9/(-42)). Let b*v**3 + 2*v + 0 - 2*v**2 = 0. What is v?
0, 2
Let a(b) be the third derivative of -2*b**2 + 1/3*b**3 + 0 + 1/24*b**4 - 1/120*b**6 + 0*b - 1/30*b**5. Factor a(k).
-(k - 1)*(k + 1)*(k + 2)
Let k = -14 - 10. Let h = -21 - k. Let 0 + a**2 + 2/3*a - 2/3*a**h = 0. Calculate a.
-1/2, 0, 2
Let u(a) be the second derivative of -a**5/80 - a**4/16 + a**3/24 + 3*a**2/8 + 17*a. Factor u(b).
-(b - 1)*(b + 1)*(b + 3)/4
Let 0 - 3*k**2 - 27*k**3 + 9*k**3 - 3*k**5 + 15*k**4 - 9 - 3*k**2 + 21*k = 0. Calculate k.
-1, 1, 3
Let b = -696 - -699. Factor -2/11*u**b + 4/11 - 10/11*u + 8/11*u**2.
-2*(u - 2)*(u - 1)**2/11
Find r, given that 0 - 1/6*r + 1/6*r**2 = 0.
0, 1
Let v(h) = 12*h**5 - 41*h**4 + 12*h**3 - 17*h - 17. Let i(j) = -2*j**5 + 7*j**4 - 2*j**3 + 3*j + 3. Let a(m) = -34*i(m) - 6*v(m). Factor a(o).
-4*o**3*(o - 1)**2
Let q(c) be the second derivative of -2*c**3 - 6*c**2 - 1/4*c**4 + 2*c + 0. Find n, given that q(n) = 0.
-2
Let a be 1/18*(6 + -2). Factor 0 + 0*k**2 + 0*k**3 + 0*k + a*k**5 - 4/9*k**4.
2*k**4*(k - 2)/9
Let h(s) be the second derivative of -s**5/35 + s**4/7 - 2*s**3/7 + 2*s**2/7 - 20*s. Let h(a) = 0. What is a?
1
Let m(i) be the first derivative of 0*i**2 + 1/2*i**3 + 0*i + 6 - 3/8*i**4. Factor m(u).
-3*u**2*(u - 1)/2
Let o(f) be the third derivative of -1/4*f**4 + 5*f**2 - 1/2*f**3 - 1/20*f**5 + 0*f + 0. Factor o(m).
-3*(m + 1)**2
Let b(v) be the first derivative of v**3/18 - v**2/6 - 6. Factor b(x).
x*(x - 2)/6
Suppose 412*s - 403*s = 27. Let t = 12/7 - 3/14. Factor -9/2*n**2 + 9/2*n - t + 3/2*n**s.
3*(n - 1)**3/2
Factor 4/7*o**5 + 4/7*o**4 + 0*o - 4/7*o**2 + 0 - 4/7*o**3.
4*o**2*(o - 1)*(o + 1)**2/7
Let d(h) = 24*h - 5. Let u be d(5). Let a = u + -341/3. Determine c, given that -2/3*c - 2/3*c**5 + a*c**3 + 0*c**4 + 0 + 0*c**2 = 0.
-1, 0, 1
Let l(w) = w**2 - 3*w + 4. Let h be l(3). Let v(k) be the second derivative of -2*k + 1/18*k**h + 2/9*k**3 + 1/3*k**2 + 0. Factor v(p).
2*(p + 1)**2/3
Let f(a) be the third derivative of a**7/2520 + a**6/360 - a**4/8 - 4*a**2. Let u(g) be the second derivative of f(g). Factor u(x).
x*(x + 2)
Let z(a) be the third derivative of a**8/1176 - a**7/735 - a**6/84 + a**5/210 + 2*a**4/21 + 4*a**3/21 + 4*a**2. Factor z(d).
2*(d - 2)**2*(d + 1)**3/7
Suppose -4*c - 38 = 5*r, -2*r - 8 = 4*c - 0*c. Let l be 12/15*r/(-28). Solve 2/7*q**2 - 2/7 + 2/7*q - l*q**3 = 0.
-1, 1
Solve -g**2 + 3*g**3 + 0*g + 12*g + 13*g**2 = 0.
-2, 0
Let p(b) be the first derivative of b**3/7 - 9*b**2/14 + 6*b/7 - 3. Factor p(w).
3*(w - 2)*(w - 1)/7
Let y(i) be the third derivative of -i**6/300 + i**4/20 + 2*i**3/15 - 12*i**2. Factor y(w).
-2*(w - 2)*(w + 1)**2/5
Let a(b) = 6*b**4. Let y(l) = -23*l**4 - l**3. Let h(z) = 18*a(z) + 4*y(z). Solve h(v) = 0 for v.
0, 1/4
Let n(v) = -196*v**3 - 313*v**2 - 123*v - 16. Let h(t) = 980*t**3 + 1564*t**2 + 616*t + 80. Let d(m) = 5*h(m) + 24*n(m). Find k such that d(k) = 0.
-1, -2/7
Let u = 71/138 + -1/69. Determine y so that -1/2*y - u*y**3 + 0 - y**2 = 0.
-1, 0
Determine x, given that -3*x - x**4 + 0*x**2 + 4*x**2 - x**2 + 3*x**3 - 2*x**4 = 0.
-1, 0, 1
Let m(f) = 52*f**4 + 105*f**3 + 7*f**2 - 60*f. Let o(k) = -17*k**4 - 35*k**3 - 2*k**2 + 20*k. Let d(z) = -2*m(z) - 7*o(z). Solve d(a) = 0.
-2, -1, 0, 2/3
Suppose 3*d = 10*d. Let o(y) be the third derivative of -1/15*y**5 + d*y + 1/105*y**7 + 1/24*y**4 + 0 - 1/60*y**6 - y**2 + 1/336*y**8 + 1/3*y**3. Factor o(x).
(x - 1)**2*(x + 1)**2*(x + 2)
Suppose -6*h + 45 = 9*h. Let 1/3*m - 1/3*m**h - 1/3 + 1/3*m**2 = 0. Calculate m.
-1, 1
Let l = 1 + 1. Determine s so that -2*s**3 - 6*s**l + 1 - 1 - s**3 - 3*s = 0.
-1, 0
Determine d, given that -1/4*d**4 - 3/2 + 9/4*d**3 + 19/4*d - 21/4*d**2 = 0.
1, 6
Let c(u) = -19*u**4 - u**3 + 42*u**2 - 45*u + 13. Let h(b) = -9*b**4 + 21*b**2 - 22*b + 6. Let l(x) = -4*c(x) + 10*h(x). Suppose l(k) = 0. Calculate k.
-2, 2/7, 1
Let h(f) = 4*f**2 + 5*f - 2. Let w(q) = -q**2 - 2*q + 1. Let a(t) = 2*h(t) + 7*w(t). What is p in a(p) = 0?
1, 3
Let v = 1364992/33 - 41370. Let a = -36/11 - v. Let 2/3*g**2 + 8/3 + 82/3*g**3 - a*g**4 - 50/3*g**5 - 32/3*g = 0. What is g?
-1, 2/5, 1
Let t(n) be the third derivative of n**8/96 - n**7/210 - 7*n**6/120 + n**5/30 