(4*p - 1)
Let g(y) be the third derivative of -4*y**2 + 16/105*y**7 + 1/2*y**4 + 1/30*y**5 + 0 + 0*y - 2/5*y**6 + 1/3*y**3. Factor g(w).
2*(w - 1)**2*(4*w + 1)**2
Let w = 473 + -2363/5. Find i such that 0*i**2 + 0*i - 2/5*i**3 - w*i**4 + 0 = 0.
-1, 0
Let g be (0 + 1)*0/(-2). Let m(h) = g - 7*h**3 + 7*h + 4 - 4. Let l(p) = -p**3 + p. Let y(w) = -6*l(w) + m(w). Factor y(f).
-f*(f - 1)*(f + 1)
Let o(r) = r**3 + 11*r**2 - 25*r + 19. Let f(k) = k**3 - k**2 - k - 1. Let s(y) = 3*f(y) + o(y). Factor s(x).
4*(x - 1)**2*(x + 4)
Let m = -8 - -11. Factor 2*k**3 + 2 - k**2 - 6*k**4 - 3*k + 0*k**m + 5*k**4 + k**3.
-(k - 2)*(k - 1)**2*(k + 1)
Let s(j) be the third derivative of j**7/63 - 2*j**6/45 + j**5/90 + j**4/18 - 13*j**2. Determine v, given that s(v) = 0.
-2/5, 0, 1
Suppose -26*f + 164 - 112 = 0. Factor 0 + 1/3*j**f - 1/3*j.
j*(j - 1)/3
Let f(t) be the second derivative of 7*t**9/144 + t**8/20 + t**7/70 - 5*t**3/6 - 2*t. Let q(i) be the second derivative of f(i). Factor q(h).
3*h**3*(7*h + 2)**2
Let q = -7 + 10. Let y be 3/((-9)/(-2))*q. Factor 0 - 1/4*l + 1/4*l**y.
l*(l - 1)/4
Suppose 4*f - 3*k = 3*f + 37, 4*f - 4*k - 108 = 0. Let i be 0 - -2 - f/13. What is w in 18/13*w**2 + 0 + i*w = 0?
-2/9, 0
Let g(v) be the first derivative of v**6/9 - 2*v**5/5 + v**4/3 + 4*v**3/9 - v**2 + 2*v/3 + 12. Factor g(c).
2*(c - 1)**4*(c + 1)/3
Let m(q) be the first derivative of q**5/30 + q**4/24 - q**3/6 - q**2/12 + q/3 + 15. Let m(x) = 0. What is x?
-2, -1, 1
Let p(v) be the third derivative of v**9/68040 - v**8/15120 - v**7/11340 + v**6/1620 + v**4/8 - 2*v**2. Let u(w) be the second derivative of p(w). Factor u(f).
2*f*(f - 2)*(f - 1)*(f + 1)/9
Factor -10/11 - 12/11*o - 2/11*o**2.
-2*(o + 1)*(o + 5)/11
Let w(k) be the first derivative of k**6/540 + k**5/90 - 4*k**3/3 - 5. Let f(q) be the third derivative of w(q). Factor f(u).
2*u*(u + 2)/3
Let p(f) = f**2 + f - 2. Let l be p(2). Let b(h) be the first derivative of -1/7*h**2 + 0*h - 2/7*h**3 - 3/14*h**l - 2/35*h**5 - 2. Factor b(m).
-2*m*(m + 1)**3/7
Let c be -10*(-3)/(-12)*(-1 + -1). Suppose -1/3*s + 2/3*s**2 + 1/3*s**c + 0*s**3 - 2/3*s**4 + 0 = 0. Calculate s.
-1, 0, 1
Let v(o) be the first derivative of -o**4 - 16*o**3/3 + 31. Factor v(c).
-4*c**2*(c + 4)
Let w be (5/(-7) - -1)*(-7)/(-8). Let b(m) be the second derivative of -11/18*m**3 - w*m**4 + 0 - 1/3*m**2 + 2*m. Find s, given that b(s) = 0.
-1, -2/9
Let n = -143 + 145. Determine s so that 3/5*s - 1/5*s**4 - 1/5*s**n + 2/5 - 3/5*s**3 = 0.
-2, -1, 1
Let j(z) = -z**3 + 30*z**2 + 30*z + 21. Let d(y) = y**3 - 15*y**2 - 15*y - 11. Let q(v) = -11*d(v) - 6*j(v). Factor q(i).
-5*(i + 1)**3
Suppose -5*f + 112 = 97. Factor 1/4 - 1/4*t**f - 1/4*t**2 + 1/4*t.
-(t - 1)*(t + 1)**2/4
Let p(m) be the first derivative of 2*m**5/25 + 7*m**4/10 - 2*m**3/15 - 7*m**2/5 - 3. Suppose p(u) = 0. What is u?
-7, -1, 0, 1
Let h(f) = -2*f - 4. Let c be h(-4). Suppose -4*d - 20 = -5*b, -4*d - d - 25 = c*b. Factor 4/7*q**3 + 0*q + 2/7*q**2 + b + 2/7*q**4.
2*q**2*(q + 1)**2/7
Let q be (30/(-8))/((-3)/(-12)). Let p be 6/q*(1 + -2). Find d, given that -3/5*d**3 - p*d**2 + 0 + 1/5*d = 0.
-1, 0, 1/3
Let k be (-6)/1 + 341/44. Factor -3/4*x + 3/4*x**3 - k*x**2 + 1/2 + 5/4*x**4.
(x - 1)*(x + 1)**2*(5*x - 2)/4
Let i(w) be the third derivative of w**5/420 - w**4/42 + 2*w**2 - 10. Factor i(p).
p*(p - 4)/7
Let p(z) be the third derivative of z**7/105 + z**6/60 - z**5/15 - 6*z**2. Factor p(c).
2*c**2*(c - 1)*(c + 2)
Let s(l) = 54*l - 216. Let b be s(4). Solve b - 1/3*q**3 + 0*q - 1/3*q**4 + 1/3*q**2 + 1/3*q**5 = 0 for q.
-1, 0, 1
Let f(n) be the first derivative of 7*n**5 + 5*n**4/2 + 27. Factor f(k).
5*k**3*(7*k + 2)
Let w(c) = -c**3 - 2*c**2 + 3*c + 2. Let x be w(-3). Let k be x/(-4) + 22/4. Factor -2*t**4 + t**4 - t**3 + t**2 + 2*t**3 - t**k.
-t**2*(t - 1)*(t + 1)**2
Suppose -2*p + 4*p = 0. Let n(y) be the third derivative of p + 0*y + y**2 - 1/60*y**5 + 1/12*y**4 - 1/6*y**3. Let n(f) = 0. Calculate f.
1
Let n(b) be the first derivative of b**4/4 + 10*b**3/3 + 16*b**2 + 32*b - 64. Factor n(x).
(x + 2)*(x + 4)**2
Let j(o) be the first derivative of -5/3*o**2 - 1 - 1/6*o**4 - 8/9*o**3 - 4/3*o. What is y in j(y) = 0?
-2, -1
Let l be 10/35 - 5/(-56). Let y(u) be the first derivative of -1/4*u**3 - 1/4*u + 1/16*u**4 + l*u**2 + 4. Factor y(z).
(z - 1)**3/4
Let z be (-580)/(-25)*20/(-7). Let g = -66 - z. Factor 0*n**2 + g*n**4 + 6/7*n**3 - 8/7*n + 0.
2*n*(n - 1)*(n + 2)**2/7
Suppose 0*m**2 + 2/3*m**4 + 0 + 0*m + 1/3*m**3 + 1/3*m**5 = 0. What is m?
-1, 0
Let a(n) be the second derivative of n**8/2240 - n**7/672 + n**6/1440 + n**5/480 - 5*n**3/6 + 2*n. Let p(w) be the second derivative of a(w). Factor p(h).
h*(h - 1)**2*(3*h + 1)/4
Let g(x) be the first derivative of -1/2*x + 2 + 3/8*x**4 + 1/4*x**2 + 5/6*x**3. Suppose g(q) = 0. What is q?
-1, 1/3
Let t = -6/143 - -590/429. Determine v so that -53/3*v**2 - 8*v**4 + 4/3*v**5 + 8*v + 53/3*v**3 - t = 0.
1/2, 1, 2
Let b = 8 - 13. Let d(k) = -k**2 - 6*k - 1. Let u be d(b). Let 4*n**3 - 6*n - 2 - 18*n**5 + 30*n**u - 28*n**2 + 0*n**3 + 20*n = 0. Calculate n.
-1, 1/3, 1
Let o(s) be the third derivative of s**5/100 - s**4/20 + 9*s**2. Factor o(j).
3*j*(j - 2)/5
Let x(c) be the first derivative of 2*c**3/3 + c**2 - 1. Factor x(v).
2*v*(v + 1)
Suppose -5*y = -y - 8. Factor 2*w**2 + 2*w**2 - 7*w**y + w**2 + 2.
-2*(w - 1)*(w + 1)
Let o(w) be the second derivative of -w**4/24 + w**2 - 15*w. What is q in o(q) = 0?
-2, 2
Let w(f) = 47*f**3 - 19*f**2 - 24*f - 6. Suppose 0*t + 14 = -2*t. Let u(y) = 140*y**3 - 56*y**2 - 72*y - 19. Let a(k) = t*w(k) + 2*u(k). Factor a(p).
-(p - 1)*(7*p + 2)**2
Factor -2*q**2 + 2*q**2 - 13*q - q**3 + 8*q**2 + 6.
-(q - 6)*(q - 1)**2
Let p(k) be the third derivative of 9*k**6/40 + 17*k**5/10 + 7*k**4/2 - 4*k**3 + 10*k**2. Let p(c) = 0. What is c?
-2, 2/9
Let p(x) = x**3 - 4*x**2 + 2*x - 6. Let q be p(4). Let j(f) be the second derivative of 0*f**3 + 2*f + 0 + 0*f**5 + 0*f**q + 1/15*f**6 - 1/6*f**4. Factor j(d).
2*d**2*(d - 1)*(d + 1)
What is m in 13 - 85*m**2 + 0*m**4 - 23*m**4 - 2*m**4 + 7 - 90*m**3 = 0?
-2, -1, 2/5
Let y(i) = -3*i - 6. Let b be y(-4). Determine k so that -b*k**3 - 8*k - 2*k**4 + 20*k**2 - 10*k**3 + 5*k**4 + k**4 = 0.
0, 1, 2
Let q(g) be the third derivative of g**7/630 + g**6/40 + 3*g**5/20 + 3*g**4/8 + 26*g**2. Factor q(j).
j*(j + 3)**3/3
Let w(f) be the first derivative of 4*f**5/35 - 3*f**4/7 + 4*f**3/7 - 2*f**2/7 - 4. Factor w(j).
4*j*(j - 1)**3/7
Let p be 3/(-84) + (-6)/(-21). Factor 1/4*s**5 - 1/2*s**3 + 0*s**2 + 0*s**4 + p*s + 0.
s*(s - 1)**2*(s + 1)**2/4
Let o(r) = 4*r**2 + 2*r + 1. Let b be o(-1). Let g be -1*b*7/(-7). Factor -10 + t**4 + 10 + t**g.
t**3*(t + 1)
Let c(v) be the first derivative of 2*v**3/3 - 7*v**2/5 + 4*v/5 + 10. Factor c(f).
2*(f - 1)*(5*f - 2)/5
Let p(q) be the third derivative of -1/84*q**4 + 0*q**3 + 0*q + 1/105*q**6 + 0 - 1/70*q**5 - 4*q**2. Factor p(u).
2*u*(u - 1)*(4*u + 1)/7
Let n(x) = -x - 1. Let w be n(3). Let l = w + 4. Factor z**2 + 0*z**2 + l*z**2 - z**3.
-z**2*(z - 1)
Let n(d) be the second derivative of -d**6/90 - d**5/20 + 2*d**3/9 + 10*d. Suppose n(k) = 0. What is k?
-2, 0, 1
Let y(n) be the first derivative of 7*n**2 + 4*n + 42*n**3 - 48*n**3 - 1 - 2. Solve y(b) = 0.
-2/9, 1
Let f = 22 - 16. Suppose -f = n - 4*n. Factor 0*u**n + u**2 - 4*u - 3*u**2.
-2*u*(u + 2)
Let d = 4 + -2. Factor t**5 + t - t + 0*t**3 - t**4 + t**d - t**3.
t**2*(t - 1)**2*(t + 1)
Suppose 0 = -6*a + 3*a. Determine j so that j**2 + 0*j + j**3 + j + a*j**3 - 1 - 2*j = 0.
-1, 1
Let a(z) be the third derivative of z**5/60 + z**4/24 + z**3/6 - 3*z**2. Let t be a(2). Suppose -7*w + t*w + w**2 = 0. What is w?
0
Let a(i) = 0*i**3 - 8*i**4 - 5 + i**3 + 0*i**3 - 2*i - 2*i**2 + i**5. Let d(c) = c**4 + c**2 + 1. Let g(o) = -a(o) - 5*d(o). Factor g(x).
-x*(x - 2)*(x - 1)**2*(x + 1)
Let u be (-159)/(-108) + (-10)/8. Find n, given that 4/9*n - 2/9*n**2 - u = 0.
1
Let g = -21082/9 - -2346. Factor 2/9 - g*y**2 + 0*y.
-2*(4*y - 1)*(4*y + 1)/9
Let n(w) be the first derivative of 4*w**5/5 - 3*w**4 + 4*w**3/3 + 6*w**2 - 8*w + 5. Factor n(o).
4*(o - 2)*(o - 1)**2*(o + 1)
Factor 0*t**4 + 0*t + 0*t**2 + 0 + 0*t**3 - 2/5*t**5.
-2*t**5/5
Let z(h) be the first derivative of -2*h**5/95 + h**4/19 + 2*h**3/19 - 4*h**2/19 - 8*h/19 + 18. Wha