2*n**2. Let c(w) be the third derivative of f(w). Factor c(q).
-2*q*(q - 1)**2
Let k(i) be the second derivative of 0 - 1/80*i**5 - 1/3*i**3 + 2*i - 5/48*i**4 - 1/2*i**2. Factor k(f).
-(f + 1)*(f + 2)**2/4
Let z(c) = c**2 + c + 1. Let w be 4/22 - (-100)/55. Let m(a) = -a - 10 - 6*a - 12*a**w - 4*a. Let p(b) = -2*m(b) - 22*z(b). Factor p(q).
2*(q - 1)*(q + 1)
Let t be 3*55/(-105) - (1 + -4). Find k such that -2/7*k**3 - 6/7 - t*k**2 - 2*k = 0.
-3, -1
Let f(g) be the third derivative of g**5/25 + g**4/12 - g**3/15 - 3*g**2. Factor f(u).
2*(u + 1)*(6*u - 1)/5
Let r(z) be the third derivative of -z**3 - 3*z**2 + 0*z + 0 - 1/30*z**5 + 1/3*z**4. Factor r(q).
-2*(q - 3)*(q - 1)
Suppose -2*p + 19 = -3*y, 2*p + 2*y = -8 + 2. Factor 27 + 0*z**2 + 2*z**p + 18*z + z**2 + 0.
3*(z + 3)**2
Suppose -2 = 5*p - 3*d, 3*d - 11 = 2*p - 3. Let o be p - (13/(-7) - -3). Solve 0*v**2 - o*v + 2/7*v**3 - 4/7 = 0.
-1, 2
Let p(m) = -19*m + 120. Let l be p(6). Factor -l*c + 6 + 3/2*c**2.
3*(c - 2)**2/2
Let h(x) be the second derivative of x**4/8 - 3*x**3/4 - 3*x**2 + 21*x. Let h(f) = 0. What is f?
-1, 4
Let -4*p**3 + 5*p**5 - 6*p**5 + 5*p**5 + 8*p**4 - 8*p**2 = 0. What is p?
-2, -1, 0, 1
Let b be 115/15 + (-2)/3. Let o be 32/(-9) + b + -3. Determine j so that o*j**2 + 0*j + 2/9*j**3 + 0 = 0.
-2, 0
Let o = 117 + -115. Let j(k) be the first derivative of -1/2*k**4 - k**o + 3 + k**3 + 1/2*k + 1/10*k**5. Suppose j(h) = 0. What is h?
1
Let y = 12 - 10. Factor -4*g**2 + 6*g**y - 3*g**2 - 4*g - 3.
-(g + 1)*(g + 3)
Let a be (15/10)/(2/4). Let z(s) be the third derivative of -1/105*s**7 + 1/30*s**5 + 0 + 0*s + 1/60*s**6 + 0*s**a - s**2 - 1/12*s**4. Factor z(r).
-2*r*(r - 1)**2*(r + 1)
Factor -5*a**5 - 72*a**4 + 0*a**2 + 5*a**3 + 8*a**2 + 67*a**4 - 3*a**2.
-5*a**2*(a - 1)*(a + 1)**2
Let h(t) be the second derivative of t**7/840 + t**6/240 - t**4/3 - 2*t. Let v(x) be the third derivative of h(x). Determine s, given that v(s) = 0.
-1, 0
Let t(k) be the second derivative of k**6/30 + k**5/5 - k**4/4 - 7*k**3/3 - 4*k**2 + 2*k + 24. Factor t(n).
(n - 2)*(n + 1)**2*(n + 4)
Let l(u) = -9*u**3 + 20*u**2 + 9*u - 20. Let v(j) = -j**3 + j. Let n(y) = -l(y) + 4*v(y). Factor n(f).
5*(f - 4)*(f - 1)*(f + 1)
Let c = 1/17 + 12/85. Let a = -239/5 - -48. Factor a*q - 2/5*q**2 + 0 + c*q**3.
q*(q - 1)**2/5
Let m = 0 - -2. Solve 3 - 3*i + 9*i - 4 - 3 - m*i**2 = 0 for i.
1, 2
Let g = -85331405/2086098 + 3/99338. Let x = -121/3 - g. Solve 0 + 2/7*t**4 - 4/7*t**3 + 0*t + x*t**5 - 2/7*t**2 = 0.
-1, -1/2, 0, 1
Suppose 4*h + 2*m = 12, -15 = -5*h - 7*m + 8*m. Factor 0*r + 1/6*r**h + 1/2*r**2 - 2/3.
(r - 1)*(r + 2)**2/6
Let a(k) be the second derivative of 3*k**2 - 1/2*k**4 + 7/2*k**3 + 0 - 5*k - 21/20*k**5. Factor a(n).
-3*(n - 1)*(n + 1)*(7*n + 2)
Let -47*w**3 + w**4 - 2*w + 47*w**3 - 3*w**2 = 0. Calculate w.
-1, 0, 2
Let w be (-49)/24 + 2 + (-3)/(-8). Let f(j) be the second derivative of w*j**3 - j**2 + 1/6*j**4 - 1/10*j**5 + 0 + 2*j. Factor f(l).
-2*(l - 1)**2*(l + 1)
Let b = -21 - -24. Find s, given that 0 + 0*s + 2/3*s**2 + 5/3*s**5 - 5/3*s**b - 2/3*s**4 = 0.
-1, 0, 2/5, 1
Let s(w) be the first derivative of w**7/42 + w**6/30 - w**5/20 - w**4/12 - w + 1. Let v(l) be the first derivative of s(l). Factor v(c).
c**2*(c - 1)*(c + 1)**2
Let b(f) be the first derivative of 9*f**5/5 - 21*f**4/4 + 5*f**3 - 3*f**2/2 - 7. Let b(o) = 0. Calculate o.
0, 1/3, 1
Factor 8*m - 2*m**3 - 88 + 40 + 32 - 2*m**4 + 12*m**2.
-2*(m - 2)*(m - 1)*(m + 2)**2
Solve -14*n**2 + 47*n + 18*n**3 - 37*n - 53*n**3 - 11*n**2 = 0.
-1, 0, 2/7
Let q be ((-25)/20)/(72/32 - 3). Suppose 0*h + 3*p - 9 = -3*h, 3*p = -4*h + 9. Solve h - q*n**2 - 1/3*n**4 + 4/3*n**3 + 2/3*n = 0.
0, 1, 2
Solve -2/3*q**4 - 2*q**3 + 2/3*q**5 + 10/3*q**2 - 4/3*q + 0 = 0.
-2, 0, 1
Let 3*n**4 + n**4 + 3*n - 4*n**2 + 3*n - 14*n + 8*n**3 = 0. Calculate n.
-2, -1, 0, 1
Let m(g) be the second derivative of 2*g**7/63 - 4*g**6/45 - g**5/5 + 4*g**4/9 + 8*g**3/9 - g. Factor m(i).
4*i*(i - 2)**2*(i + 1)**2/3
Factor 24/7*k - 72/7 - 2/7*k**2.
-2*(k - 6)**2/7
Let m(q) be the first derivative of -7*q**2 + 7/2*q**4 - 1 - 4*q + 4/3*q**3. Let m(b) = 0. Calculate b.
-1, -2/7, 1
Let r be (-22)/(-6) - (-8)/24. Factor 0*b + 0 + 16/3*b**r - 2/3*b**3 - 10/3*b**5 - 4/3*b**2.
-2*b**2*(b - 1)**2*(5*b + 2)/3
Let s = -39/35 - -7/5. Let a(i) = i**3 - 2*i**2. Let p be a(2). Suppose 2/7*t**2 + p*t + s*t**3 + 0 = 0. Calculate t.
-1, 0
Solve 32*g + 18*g + 8814*g**2 - 8819*g**2 - 80 = 0 for g.
2, 8
Let b(n) be the third derivative of n**6/40 - 3*n**5/10 + 9*n**4/8 - 18*n**2. Solve b(r) = 0.
0, 3
Let m = 175 + -172. Factor -6/7*w**4 + 4/7*w**2 + 6/7*w + 2/7 - 4/7*w**m - 2/7*w**5.
-2*(w - 1)*(w + 1)**4/7
Let h be (3 - 133/45)*(-30)/(-3). Solve -4/9*k**2 + 2/9*k - 2/9*k**3 + h = 0.
-2, -1, 1
Let i(t) be the second derivative of 3*t + 2/3*t**3 + 1/6*t**4 + 0 + t**2. Suppose i(p) = 0. Calculate p.
-1
Let r(b) be the third derivative of b**8/4032 - b**7/5040 - b**6/720 - b**5/720 + b**4/8 - 10*b**2. Let k(t) be the second derivative of r(t). Factor k(g).
(g - 1)*(2*g + 1)*(5*g + 1)/6
Let x(n) = -n**4 + 11*n**3 - 18*n**2 + 20*n - 4. Let b(l) = l**3 + 1. Let i(w) = 4*b(w) - x(w). Find t, given that i(t) = 0.
1, 2
Let s = -12094/9 - -1344. What is f in 0 + 8/9*f**4 - s*f + 2/9*f**3 - 8/9*f**2 = 0?
-1, -1/4, 0, 1
Let f be (-1)/(-8) + (0 - 0). Let x(i) be the second derivative of -i + f*i**2 - 1/12*i**3 + 0 + 1/48*i**4. Determine q, given that x(q) = 0.
1
Let v = -110 - -112. Let d(j) be the second derivative of -5/12*j**3 - 1/10*j**6 + 11/40*j**5 - 3*j + 0 + 1/2*j**v - 1/12*j**4. Suppose d(z) = 0. What is z?
-2/3, 1/2, 1
Let i(w) be the second derivative of 0 + 0*w**3 - 1/33*w**4 + 0*w**2 + 1/110*w**5 + 4*w. Suppose i(b) = 0. Calculate b.
0, 2
Let o = -42 + 33. Let p = -7 - o. Suppose -2*d**p - 8/3*d - 2/3 = 0. What is d?
-1, -1/3
Let t(w) be the second derivative of 0*w**2 + 1/100*w**5 + 0*w**3 + 2*w - 1/60*w**4 + 0. Factor t(x).
x**2*(x - 1)/5
Let o(p) be the third derivative of p**6/120 - p**5/12 + p**4/6 + 31*p**2. Factor o(y).
y*(y - 4)*(y - 1)
Let l(h) be the third derivative of -h**7/735 - h**6/140 - h**5/105 + h**2. Suppose l(a) = 0. Calculate a.
-2, -1, 0
Let d(q) = -q**2 - 3*q + 10. Let l be 15/(-10) + (-14)/4. Let t be d(l). What is k in 64/5*k**5 + 0*k - 12/5*k**3 + 0*k**4 + t + 2/5*k**2 = 0?
-1/2, 0, 1/4
Let r(u) = -3*u**3 + 4*u**2 + 3*u + 2. Let i(n) = n**3 - 1. Let j(p) = -4*i(p) - r(p). Let s be j(-2). Determine k, given that 1/4*k**2 - 1/4 + s*k = 0.
-1, 1
Let r be (16/(-10))/(27/(-15)). Factor 2/9*m + 2/9 - r*m**4 - 2*m**2 + 22/9*m**3.
-2*(m - 1)**3*(4*m + 1)/9
Let u(l) be the third derivative of 0*l**4 + 1/2*l**3 + 0*l - 3*l**2 - 1/1440*l**6 + 0 + 0*l**5. Let q(y) be the first derivative of u(y). Factor q(w).
-w**2/4
Factor 5/4*f**5 - 81/2 + 108*f**2 + 29/2*f**4 + 123/2*f**3 + 189/4*f.
(f + 3)**4*(5*f - 2)/4
Let z(d) be the second derivative of d**5/4 + 25*d**4/12 + 35*d**3/6 + 15*d**2/2 - 48*d. Determine r, given that z(r) = 0.
-3, -1
Let 2*k**5 + 6*k**2 + 3 - 22*k + 0 + 3 - 2*k**4 + 22*k**2 - 12*k**3 = 0. Calculate k.
-3, 1
Let 12/5*q + 0 + 372/5*q**2 + 2883/5*q**3 = 0. Calculate q.
-2/31, 0
Let m(l) be the second derivative of -l**7/21 + l**6/5 - l**5/5 - l**4/3 + l**3 - l**2 + 8*l. Factor m(w).
-2*(w - 1)**4*(w + 1)
Let j(n) be the first derivative of 0*n - 1/21*n**6 + 1/7*n**4 + 0*n**3 - 3 + 0*n**5 - 1/7*n**2. Factor j(h).
-2*h*(h - 1)**2*(h + 1)**2/7
Let n(y) be the second derivative of 0 - 1/20*y**5 - 4*y + 0*y**2 + 0*y**4 + 0*y**3. Factor n(h).
-h**3
Let j(h) be the third derivative of h**8/1176 + 4*h**7/735 + h**6/84 + h**5/105 - h**2. Determine g, given that j(g) = 0.
-2, -1, 0
Factor -4*r - 7*r**2 - 2*r**2 + 7*r**2 + 2*r.
-2*r*(r + 1)
Let i(g) be the second derivative of g**5/30 + g**4/6 + g**3/3 + g**2/3 - 13*g. Solve i(l) = 0.
-1
Let a(z) be the second derivative of z**4/20 - z**3/10 - 3*z**2/5 + 23*z. Factor a(r).
3*(r - 2)*(r + 1)/5
Factor 8*a + 36*a**2 + 5*a**3 - a**3 + 12*a**3.
4*a*(a + 2)*(4*a + 1)
Let b(k) = 3*k**3 - 3*k - 2. Let f(u) = 16*u**3 - 16*u - 11. Suppose -j = j - 26. Suppose 46 = 3*y + j. Let p(i) = y*b(i) - 2*f(i). Factor p(z).
z*(z - 1)*(z + 1)
Let a(d) be the third derivative of -d**8/560 - d**7/70 - d**6/20 - d**5/10 - d**4/8 + d**3/6 - 2*d**2. Let b(v) be t