or k(i).
4*i*(i - 1)*(i + 1)**2*(i + 2)
Let u(k) = k**2 + 4*k - 3. Let s(o) = o**3 + 4*o**2 - 4*o. Let n be s(-5). Let w be u(n). Let 14*d**w - 8*d + 8/7 = 0. What is d?
2/7
Let g(a) be the third derivative of -a**5/180 - 5*a**4/18 - 50*a**3/9 - 16*a**2 + 2*a. Factor g(h).
-(h + 10)**2/3
Let s(z) be the third derivative of 1/3*z**3 + 0*z**5 - 1/1260*z**6 + 0*z**4 + 0*z + z**2 + 0. Let u(c) be the first derivative of s(c). Factor u(y).
-2*y**2/7
Solve 12*s + 4*s**3 - 6*s**2 - 4 - 17*s**2 + 11*s**2 = 0 for s.
1
Let s be ((-7)/7 + 7/5)/1. Factor 6/5*j + 0*j**2 - s*j**3 + 4/5.
-2*(j - 2)*(j + 1)**2/5
Let o(c) be the second derivative of -1/168*c**7 - 1/24*c**3 + 1/8*c**2 - 3*c + 1/120*c**6 + 1/40*c**5 + 0 - 1/24*c**4. Factor o(f).
-(f - 1)**3*(f + 1)**2/4
Let o(i) = 3*i - 49. Let n be o(18). Find j, given that -2*j**3 + 2/5*j**4 + 6/5*j**n + 4/5*j - 2/5*j**2 + 0 = 0.
-1, 0, 2/3, 1
Let x(l) be the first derivative of 2*l**3/57 - 25. Factor x(i).
2*i**2/19
Let w(h) = 5*h**2 - 41*h - 295. Let q(l) = -3*l**2 + 20*l + 148. Let v(b) = -7*q(b) - 4*w(b). Factor v(p).
(p + 12)**2
Suppose -5*g + 17 = 42. Let p be (8/g)/((-9)/5). Factor -2/3*y + p*y**2 - 2/9.
2*(y - 1)*(4*y + 1)/9
Let t(l) be the third derivative of 0*l - 1/360*l**6 + 0*l**3 - 1/36*l**4 - 3*l**2 + 1/60*l**5 + 0. Solve t(y) = 0 for y.
0, 1, 2
Let u(n) be the first derivative of n + 2 - 3/4*n**2 - 1/3*n**3. Factor u(l).
-(l + 2)*(2*l - 1)/2
Let r = -197/22 - -126/11. Find h such that -41/6*h**4 + 2/3 + 4*h + 37/6*h**2 - 3/2*h**3 - r*h**5 = 0.
-2, -1, -2/5, -1/3, 1
Let x(g) be the first derivative of g**7/1260 + g**6/270 - g**3 + 1. Let f(c) be the third derivative of x(c). Determine y so that f(y) = 0.
-2, 0
Let z(q) be the second derivative of -q**4/36 - 2*q**3/9 - 2*q**2/3 + 20*q. Factor z(c).
-(c + 2)**2/3
Let o(v) be the third derivative of 0 - 1/210*v**6 - v**2 - 1/735*v**7 - 1/21*v**3 + 1/84*v**4 + 1/105*v**5 + 1/1176*v**8 + 0*v. Factor o(b).
2*(b - 1)**3*(b + 1)**2/7
Suppose -i + 3*i - 2*g = -8, 2*g = -3*i + 8. Let z(x) = x**3 - x**2 + x + 4. Let y be z(i). Factor 12*a**3 - 12*a + 16*a**y + a**4 - 4 + 2 + a**4 - 16*a**2.
2*(a - 1)*(a + 1)*(3*a + 1)**2
Let i(j) = j**3 + 12*j**2 + 10*j - 11. Suppose -3*a - 4*z = 33, -3*a + 5*z - 44 = a. Let f be i(a). Factor 1/4*p**2 + f + 1/4*p.
p*(p + 1)/4
Let i(b) be the third derivative of 1/189*b**7 + 1/27*b**5 + 0 - 1/54*b**6 + 1/27*b**3 - 1/1512*b**8 - b**2 + 0*b - 5/108*b**4. Factor i(p).
-2*(p - 1)**5/9
Suppose 1 = 2*h + 7. Let m = -2 - h. Factor -4*t + 4 + m + 2*t**2 - 3.
2*(t - 1)**2
Suppose 0 = n - 5*c - 2, 5*c = 9*c. Factor 0 - 2/7*l**n + 2/7*l.
-2*l*(l - 1)/7
Let t(w) be the first derivative of -4*w**5/35 + 2*w**4/7 - 4*w**2/7 + 4*w/7 + 20. What is h in t(h) = 0?
-1, 1
Let k(r) be the second derivative of -r**5/20 + r**4/12 + 5*r**3/6 + 3*r**2/2 + 8*r. Suppose k(q) = 0. What is q?
-1, 3
Let k(u) be the first derivative of -3*u**4/44 + 2*u**3/33 + 6*u**2/11 - 8*u/11 + 6. Solve k(l) = 0.
-2, 2/3, 2
Let p = 86 + -83. Factor 0 + 3/7*n**p - 3/7*n + 0*n**2.
3*n*(n - 1)*(n + 1)/7
Let a = 132 + -391/3. Solve -i**2 - a*i - 2/3 = 0.
-1, -2/3
Suppose -4*r - 6 = -0*r + 3*m, 0 = -r + 2*m + 4. Suppose 3*u = -5*u. What is y in r*y - 1/2*y**4 + u*y**2 + 0 - 1/2*y**3 = 0?
-1, 0
Factor 17 + v**4 - 4*v**3 + 3*v**2 - 11 + 4*v - 10.
(v - 2)**2*(v - 1)*(v + 1)
Let r be (-2)/(-3) + 32/24. Factor -3*q**3 + 4*q**5 - 2*q - 12*q**4 - 6*q + 7*q**3 + 12*q**r.
4*q*(q - 2)*(q - 1)**2*(q + 1)
Let w(r) = -r**2 - 6*r - 3. Let x be w(-5). Suppose -3*m = -0*m. Factor 0*k + 2/7*k**x + m.
2*k**2/7
Let s(j) = 4*j**3 - 4*j**2 + 3*j - 3. Let u(x) = 2*x**3 - 2*x**2 + x - 1. Let o(m) = -3*s(m) + 7*u(m). Find b such that o(b) = 0.
-1, 1
Factor 32*k - 48 - 16 - k**2 - 2*k**2 - k**2.
-4*(k - 4)**2
Let t(y) = y + 15. Let m be t(-15). Let v(o) be the second derivative of 2*o + 0*o**2 + m + 1/6*o**3 - 1/12*o**4. Factor v(i).
-i*(i - 1)
Let z(v) be the first derivative of -7*v**6/27 + 12*v**5/5 - 23*v**4/3 + 248*v**3/27 - 5*v**2/3 - 4*v - 12. Determine g, given that z(g) = 0.
-2/7, 1, 3
Let m(i) = -3*i**4 + 6*i**3 - 9*i**2 + 6*i + 6. Let s(c) = -4*c**4 + 7*c**3 - 9*c**2 + 6*c + 7. Let n(z) = 7*m(z) - 6*s(z). Factor n(u).
3*u*(u - 1)**2*(u + 2)
Suppose 0 = -3*l - 18 - 27. Let k be ((-3)/(-12))/(l/(-20)). Solve 1/3*b**4 + b**2 + 0 + b**3 + k*b = 0.
-1, 0
Let r be (-6)/36*81/(-18). Solve 0 + 1/4*p**2 - r*p**3 - 1/4*p**4 + 1/2*p + 1/4*p**5 = 0.
-1, 0, 1, 2
Let t = 754 - 750. Factor -1/4*s**2 + 1/4*s**t + 1/4*s - 1/4*s**3 + 0.
s*(s - 1)**2*(s + 1)/4
Let l(i) = i**2 - 7*i + 2. Suppose -6*b = -5*f - b + 35, 0 = 2*b. Let z be l(f). Let 3/4*h**3 + 1/2*h**z + 1/4*h**4 + 0 + 0*h = 0. Calculate h.
-2, -1, 0
Suppose 0 = 4*j + 4*v - 38 + 14, -10 = -3*j - v. Let c(y) be the third derivative of 1/60*y**5 + 0 + 0*y**3 - 2*y**j + 0*y + 0*y**4. Factor c(s).
s**2
Factor 1/2*l + 0 - 1/2*l**3 + 0*l**2.
-l*(l - 1)*(l + 1)/2
Solve 20*w**2 - 13*w**3 - 22*w**3 + 5*w**5 - 7*w**4 + 17*w**4 = 0.
-4, 0, 1
Let o(v) be the first derivative of -v**4/6 + 4*v**3/3 - 4*v**2 - 6*v - 2. Let p(t) be the first derivative of o(t). Determine s so that p(s) = 0.
2
Let o be -13 + 13 - (-1 - 78/(-80)). Let w(k) be the third derivative of -1/8*k**4 + 0 + 1/140*k**7 - 1/4*k**3 - 3*k**2 + 0*k + o*k**6 + 0*k**5. Factor w(f).
3*(f - 1)*(f + 1)**3/2
Find n, given that 141/4*n**2 - 27/4*n**3 + 18*n - 3 - 45/4*n**5 - 129/4*n**4 = 0.
-2, -1, 2/15, 1
Let k(p) be the third derivative of p**6/120 + p**5/30 - 35*p**2. Solve k(r) = 0.
-2, 0
Let u(s) be the first derivative of s**4/12 - 5*s**3/9 + 4*s**2/3 - 4*s/3 - 24. Factor u(m).
(m - 2)**2*(m - 1)/3
Let b be (-4 - -3)*(-3)/1. Suppose -d - b = y, -3*d + 3 = -4*d. Factor 1/2 + y*u**2 - u - 1/2*u**4 + u**3.
-(u - 1)**3*(u + 1)/2
Let n = -1699/9 + 189. Solve n*q**3 - 2/9*q - 2/9*q**2 + 0 + 2/9*q**4 = 0 for q.
-1, 0, 1
Suppose 3*y - 2*f - 5 = 0, -6*y + 19 = -y + 2*f. Let z be (-2)/((3/(-3))/y). Let -z + 3*j - 3*j**3 - 3*j**2 + 3*j**4 + 6 = 0. What is j?
-1, 0, 1
Let x(h) be the first derivative of 4*h**5/5 + h**4 - 4*h**3 - 10*h**2 - 8*h - 1. Determine j so that x(j) = 0.
-1, 2
Let c(j) = -4*j**4 - 14*j**3 - 16*j**2 - 12*j - 4. Let w(k) = 4*k**4 + 14*k**3 + 15*k**2 + 13*k + 5. Let f(a) = 6*c(a) + 4*w(a). Find v such that f(v) = 0.
-1, -1/2
Let k(o) be the first derivative of o**8/4200 + o**7/2100 - o**6/300 - o**5/60 - o**4/30 - o**3 + 6. Let g(q) be the third derivative of k(q). Factor g(m).
2*(m - 2)*(m + 1)**3/5
Let d(u) be the second derivative of -u**4/3 + 2*u**3/3 - 5*u. Let d(z) = 0. What is z?
0, 1
Let p(f) = -2*f - 7. Let w be p(-5). Suppose w*v = -i + 2 + 7, -5*i - 4*v = -23. Factor -4*a**4 + 2*a - a**3 + 4*a**2 - 2*a**5 + a**i.
-2*a*(a - 1)*(a + 1)**3
Let n = -86 - -432/5. Factor 1/5 - 1/5*l**5 - n*l**2 + 1/5*l**4 + 2/5*l**3 - 1/5*l.
-(l - 1)**3*(l + 1)**2/5
Let q be (-6)/(-24) + 7/4. Let p(g) be the second derivative of 0 + 1/8*g**3 + 1/48*g**4 + 1/4*g**q - g. Find b such that p(b) = 0.
-2, -1
Let t(c) be the third derivative of -4*c**8/21 - 16*c**7/105 + c**6/2 + 8*c**5/15 + c**4/6 - c**2. Solve t(x) = 0 for x.
-1, -1/4, 0, 1
Suppose 0 = -0*v - 4*v + 8. Factor 2*r**5 - r**5 + 2*r**2 - 2*r**4 - 2 + v - r**3.
r**2*(r - 2)*(r - 1)*(r + 1)
Let a(j) = -4*j**2 - 8*j + 12. Let b(k) = -k + 1. Let l(x) = -a(x) + 4*b(x). Factor l(t).
4*(t - 1)*(t + 2)
Let j = 3/473 + 293/28380. Let m(w) be the third derivative of 0*w - 3*w**2 - j*w**6 + 2/15*w**5 + 2/3*w**3 - 5/12*w**4 + 0. Factor m(s).
-2*(s - 2)*(s - 1)**2
Let w be 4 + (2 - 20/12). Factor w*m**2 + 4*m - 4/3 - 7*m**3.
-(m - 1)*(3*m + 2)*(7*m - 2)/3
Let t = -3/68 - -1097/204. Let 4/3*q**3 + 14/3*q**4 + 2/3 - t*q**2 - 8/3*q**5 + 4/3*q = 0. Calculate q.
-1, -1/4, 1
What is s in -8/7*s**5 + 0 + 4/7*s**2 + 6/7*s**4 + 18/7*s**3 + 0*s = 0?
-1, -1/4, 0, 2
Factor -8*h + 3*h**4 + 0*h**4 - 12 + 9*h**2 + 2*h + 12*h**3 - 6*h.
3*(h - 1)*(h + 1)*(h + 2)**2
Let c(d) be the second derivative of -d**4/84 + d**2/14 - 8*d. Factor c(r).
-(r - 1)*(r + 1)/7
Let a be -8*2/((-4)/(-1)). Let n be (-48)/(-20)*(-2)/a. Let 2/5*h + n*h**3 + 0 - 8/5*h**2 = 0. What is h?
0, 1/3, 1
Factor 5/6*k**3 + 1/6*k**5 - 1/3*k**2 - 2/3*k**4 + 0*k + 0.
k**2*(k - 2)*(k - 1)**2/6
Factor -71*p - 6*p**2 + 12 + 9*p**2 + 56*p.
3*(p - 4)*(p - 1)
Let u = 5/2 - 2. Factor -u*d**2 - d + 0.
-d*(d +