n(u) be the second derivative of -u**7/7560 + u**6/360 - u**5/40 + u**4/6 + 6*u. Let c(r) be the third derivative of n(r). Factor c(l).
-(l - 3)**2/3
Suppose -v = -2*v. Factor 2*w + 3*w**2 + v*w**2 - 5*w.
3*w*(w - 1)
Let q(s) be the third derivative of -s**9/15120 + s**7/2100 - s**5/600 - s**3/3 - 3*s**2. Let x(b) be the first derivative of q(b). What is v in x(v) = 0?
-1, 0, 1
Let m(p) be the third derivative of -5*p**8/336 - p**7/42 + p**6/12 + p**5/6 - 5*p**4/24 - 5*p**3/6 - 8*p**2. Factor m(v).
-5*(v - 1)**2*(v + 1)**3
Factor 2*y**2 - 3*y**2 - 2*y**2 + 6*y + 4*y**2 + 8.
(y + 2)*(y + 4)
Let z be (-4)/6 + (-33)/(-9). Let a(h) = -h**3 + 3*h**2 + 2. Let l be a(z). Factor -2/7*q - 2/7*q**l + 0.
-2*q*(q + 1)/7
Let m(i) be the second derivative of i**9/17640 + i**8/23520 - i**7/4410 - i**4/4 + i. Let r(s) be the third derivative of m(s). Find c, given that r(c) = 0.
-1, 0, 2/3
Factor 6*d**4 - 8*d**2 + 10*d**4 - 4*d**2 + 4*d.
4*d*(d + 1)*(2*d - 1)**2
Let f(u) be the first derivative of 2/3*u**3 - 3 - 1/6*u**6 - 4/5*u**5 + 5/2*u**2 + 2*u - u**4. Factor f(l).
-(l - 1)*(l + 1)**3*(l + 2)
Suppose 6*s - 10*s = 8. Let k be (-1)/s*5/10. Factor 0 + k*h**5 + 1/4*h**3 + 0*h**2 + 0*h + 1/2*h**4.
h**3*(h + 1)**2/4
Factor 3*j**3 + 0*j - 3/2*j**4 + 0 - 3/2*j**2.
-3*j**2*(j - 1)**2/2
Let n be (-18)/336*-8 + (-6)/14. Let n - 16/3*a**2 - 7/3*a**3 - 4/3*a = 0. Calculate a.
-2, -2/7, 0
Let y = 3/56 - -13/56. Factor 0*o + 0 - y*o**2.
-2*o**2/7
Let x(g) = -8*g**2 + 8*g. Let m(p) = 7*p**2 - 7*p. Let a(d) = -6*m(d) - 5*x(d). Solve a(n) = 0.
0, 1
Let m(u) be the second derivative of 0*u**4 + 1/360*u**6 + 3*u + 1/180*u**5 + 0 + 0*u**3 - u**2. Let f(c) be the first derivative of m(c). Factor f(z).
z**2*(z + 1)/3
Let f(x) be the first derivative of -x**6/720 - x**5/80 - x**4/24 + 2*x**3/3 - 8. Let m(o) be the third derivative of f(o). Factor m(q).
-(q + 1)*(q + 2)/2
Let d be (56/70)/(-1 + 27). Let u(q) be the first derivative of 0*q + d*q**5 + 3/26*q**4 + 2/13*q**3 + 4 + 1/13*q**2. Determine c, given that u(c) = 0.
-1, 0
Let q = 137 - 135. Factor 2/9*k**q + 4/9 + 2/3*k.
2*(k + 1)*(k + 2)/9
Suppose -6*s + s - 70 = 0. Let m be (36/(-27))/(s/3). Factor 2/7*z + 0 + m*z**2.
2*z*(z + 1)/7
Let j = 3/172 + 317/1548. Find p such that 0 - 8/9*p + 2/3*p**3 - j*p**4 + 0*p**2 = 0.
-1, 0, 2
Let g(v) be the third derivative of -5/3*v**3 - 2*v**2 - 11/24*v**4 + 0*v - 1/60*v**5 + 0. Let p(n) = n + 1. Let o(x) = -3*g(x) - 24*p(x). Factor o(w).
3*(w + 1)*(w + 2)
Let s = 26 + -38. Let z(f) = -22*f**2 + 40*f - 52. Let n(l) = 9*l**2 - 16*l + 21. Let r(m) = s*n(m) - 5*z(m). Find v, given that r(v) = 0.
2
Let s(i) be the third derivative of i**7/210 + i**6/60 + i**5/60 - 7*i**2. Determine w, given that s(w) = 0.
-1, 0
Factor 32/3*c**5 + 34/3*c**3 + 0 - 4/3*c**2 + 0*c - 80/3*c**4.
2*c**2*(c - 2)*(4*c - 1)**2/3
Let r be (5 + -7)/((2 - 3)/1). Let -3/2*o**r + 3*o**3 - 5/2*o**4 + 3/4*o**5 + 0 + 1/4*o = 0. Calculate o.
0, 1/3, 1
Let q(t) be the third derivative of t**7/210 - t**6/30 + t**5/30 + t**4/6 - t**3/2 - 16*t**2. Factor q(l).
(l - 3)*(l - 1)**2*(l + 1)
Let g(n) be the second derivative of -n**7/147 - n**6/21 - 9*n**5/70 - n**4/6 - 2*n**3/21 - 67*n. Factor g(y).
-2*y*(y + 1)**3*(y + 2)/7
Let s(n) be the first derivative of -n**6/720 + n**3 - 1. Let d(b) be the third derivative of s(b). Factor d(y).
-y**2/2
Let w(q) be the third derivative of -5*q**8/336 - q**7/7 - 13*q**6/24 - q**5 - 5*q**4/6 + 18*q**2. Factor w(h).
-5*h*(h + 1)**2*(h + 2)**2
Let r(v) be the third derivative of -v**6/900 + v**5/450 - 24*v**2 + v. Factor r(m).
-2*m**2*(m - 1)/15
Let b be (0/(-5))/(4*1). Let -2/7*n + 6/7*n**2 + b = 0. What is n?
0, 1/3
Suppose 0 = g + 3*i - 17, 0*g - 3*g + 11 = i. Solve 2*n**2 + 2*n - 2*n + 0*n - 8*n + 8*n**3 - g = 0.
-1, -1/4, 1
Suppose 2*c - 6*c = 8. Let b(u) = u**3 + 3*u**2 + 1. Let k be b(c). Factor -3*y**5 + y**k + 0*y**4 - y**4 - y**4.
-2*y**4*(y + 1)
Let c(u) be the second derivative of 4*u**5/5 + 7*u**4/3 - 4*u**3/3 + 2*u. Factor c(n).
4*n*(n + 2)*(4*n - 1)
Find r such that -25/3*r**3 + 16/3*r + 5/3*r**2 + 3*r**5 - 3*r**4 + 4/3 = 0.
-1, -2/3, -1/3, 1, 2
Let p(q) = -q - 5. Let j be p(-8). Find m such that 2*m**2 + 3 - m - j + 3*m = 0.
-1, 0
Let h be 111*(1/(-3) - 0). Let w = -33 - h. Let -2/5*p + 2/5*p**3 + 2/5*p**w + 0 - 2/5*p**2 = 0. What is p?
-1, 0, 1
Suppose -5/8*s + 7/4 - 1/8*s**2 = 0. Calculate s.
-7, 2
Suppose 6*t - t = -30. Let u = t - -9. Factor -1/4*q**5 + 0*q + 0 - 3/4*q**u + 1/4*q**2 + 3/4*q**4.
-q**2*(q - 1)**3/4
Determine d so that -84*d**2 + 3 - 48*d**3 + 21*d - 101*d**2 + 209*d**2 = 0.
-1/4, 1
Let p(b) = 2*b**4 - 2*b**3 - 6*b**2 + 4. Let m(d) = d - 10. Let t be m(8). Let y(g) = -4*g**4 + 5*g**3 + 13*g**2 - 9. Let a(o) = t*y(o) - 5*p(o). Factor a(k).
-2*(k - 1)**2*(k + 1)**2
Let t(f) be the second derivative of 7*f**6/720 - f**5/120 + 2*f**3/3 + 3*f. Let d(c) be the second derivative of t(c). What is n in d(n) = 0?
0, 2/7
Let f(i) be the third derivative of i**6/1200 + 7*i**5/600 + i**4/30 - 4*i**3/15 + 55*i**2. Find k such that f(k) = 0.
-4, 1
Let j(i) = -8*i**3 + 8*i**2. Let s(g) = -4*g**3 + 4*g**2. Let d(h) = -6*j(h) + 11*s(h). Factor d(t).
4*t**2*(t - 1)
Let c(z) be the third derivative of -z**7/210 + z**6/120 + z**5/15 - z**4/6 - 4*z**2. Determine o so that c(o) = 0.
-2, 0, 1, 2
Let t(h) be the third derivative of -h**5/20 - 5*h**4/4 + 11*h**3/2 + 10*h**2. Factor t(q).
-3*(q - 1)*(q + 11)
Let x(o) be the first derivative of o**3 + 18*o**2 + 108*o + 20. Suppose x(i) = 0. Calculate i.
-6
Let b be (-2 + 3 - -1) + 0. Factor -2 + 3 - t**2 - 2 + b.
-(t - 1)*(t + 1)
Let i(q) be the second derivative of -q**6/540 + q**5/60 - q**4/18 + q**3/2 - 4*q. Let j(m) be the second derivative of i(m). Solve j(y) = 0 for y.
1, 2
Let b(i) be the first derivative of -i**3/3 - 3*i**2 - 9*i - 8. Let b(u) = 0. Calculate u.
-3
Let y(d) = -d**4 + d**3 + d**2 + 2*d + 3. Suppose 0 = 6*f - f + 15. Let t(k) = -k - 1. Let p(m) = f*t(m) - y(m). What is s in p(s) = 0?
-1, 0, 1
Let f(h) be the third derivative of -9*h**2 + 0*h - 9/2*h**3 - 1/20*h**5 + 3/4*h**4 + 0. Determine s, given that f(s) = 0.
3
Suppose 0 = -35*r + 52*r. Solve 4/5*d**2 - d**3 + r + 0*d + 1/5*d**4 = 0.
0, 1, 4
Factor -2 + 5*t**2 - 916*t - 3*t**3 - t**4 + 919*t - 2.
-(t - 1)**2*(t + 1)*(t + 4)
Let x be (12/(-15))/(0 + -6). Let w(z) be the first derivative of 0*z**3 + 0*z + 0*z**2 + 1/6*z**4 - 2 - x*z**5. Determine y so that w(y) = 0.
0, 1
Let q = -24 + 26. Let z(w) be the second derivative of 0 - w - w**q - 2/3*w**3 - 1/6*w**4. Suppose z(a) = 0. Calculate a.
-1
Let v = -253/21 - -37/3. What is i in 4/7*i + 2/7*i**2 + v = 0?
-1
Let g(s) be the third derivative of s**5/12 + 5*s**4/6 + 10*s**3/3 + s**2. Solve g(l) = 0 for l.
-2
Determine y so that 15/7*y**4 - 3/7*y**2 - 48/7*y + 123/7*y**3 - 75/7*y**5 - 12/7 = 0.
-1, -2/5, 1
Let k = -65 - 3. Let n = k + 348/5. Factor 6/5*z**2 - n - 8/5*z**3 + 2/5*z**4 + 8/5*z.
2*(z - 2)**2*(z - 1)*(z + 1)/5
Let f(k) = k**3 - 5*k**2. Let l(p) = -p**2. Let s(o) = -5*f(o) + 15*l(o). Factor s(j).
-5*j**2*(j - 2)
Suppose -3*t = -p + 3*p, 0 = 5*t + 2*p. Let l be 3/(-4)*(-2)/6. Solve -3/4*s**5 + t*s**2 + 0 - 3/2*s**3 - 2*s**4 + l*s = 0.
-1, 0, 1/3
Let x(w) be the first derivative of -1/15*w**2 + 1/45*w**6 - 7 - 4/75*w**5 + 0*w + 0*w**4 + 4/45*w**3. Let x(j) = 0. Calculate j.
-1, 0, 1
Let t(l) be the second derivative of l**7/42 - l**5/10 + l**3/6 - 2*l. Solve t(x) = 0.
-1, 0, 1
Let k be (-85)/(-100) + (-1)/4. Factor 9/5*m**2 + 9/5*m + k*m**3 + 3/5.
3*(m + 1)**3/5
Let k = -206 - -1856/9. Determine u so that 4/9*u**2 + 0*u + 0 - 4/9*u**4 - k*u**3 + 2/9*u**5 = 0.
-1, 0, 1, 2
Let k(c) be the first derivative of -c**4/22 - 4*c**3/33 + c**2/11 + 4*c/11 + 12. Factor k(q).
-2*(q - 1)*(q + 1)*(q + 2)/11
Suppose -n - 4*i - 5 = 5, 2*i + 2 = -2*n. Let u be 0*(-1 + n/4). Factor 0 + 4*y - 3*y**3 + u + y**4.
y*(y - 2)**2*(y + 1)
Let p be (-3)/(15/(-4))*1270/3556. Let u = 10 + -5. Factor -4/7*o**3 + 2/7 + 2/7*o - 4/7*o**2 + 2/7*o**u + p*o**4.
2*(o - 1)**2*(o + 1)**3/7
Let j(f) = -3*f**2 - 33*f - 75. Let r(d) = -6*d**2 - 65*d - 150. Let c(k) = 5*j(k) - 3*r(k). Factor c(z).
3*(z + 5)**2
Let z(x) be the second derivative of x**4/66 - 2*x**3/33 + x**2/11 - 20*x. Factor z(t).
2*(t - 1)**2/11
Let z = -10772 + 9834838/913. Let w 