 Let q(i) = 12*i**3 + 18*i**2 - 51*i + 39. Let h(p) = -p**3 + p - 1. Let s(k) = x*q(k) + 15*h(k). Factor s(j).
-3*(j - 2)**3
Let j(g) be the first derivative of -6/35*g**5 + 4 + 1/21*g**6 + 0*g - 2/21*g**3 + 0*g**2 + 3/14*g**4. Solve j(f) = 0 for f.
0, 1
Let q(k) be the third derivative of -k**7/42 + k**6/2 - 2*k**2. Find b such that q(b) = 0.
0, 12
Let a be -4*(-4)/(-10)*35/(-14). Factor 1/3*f**a + 0*f + 0*f**3 + 1/3 - 2/3*f**2.
(f - 1)**2*(f + 1)**2/3
Let u(k) be the first derivative of -6*k - k**4 + k**5 + 3*k**2 + 1 - 1/3*k**3. Let g(r) = -r**4 + r**3 - r + 1. Let h(t) = -6*g(t) - u(t). Solve h(x) = 0.
0, 1
Suppose 0 = 2*l - l + 2. Let b be 2 + l*1/4. Find k, given that -1/2*k + b*k**2 - k**3 + 0 = 0.
0, 1/2, 1
Let 0*p**2 + 0 + 0*p - 4/7*p**4 - 2/7*p**5 + 0*p**3 = 0. What is p?
-2, 0
Factor 0 + 0*b - 4/5*b**2 + 14/5*b**5 + 24/5*b**4 + 6/5*b**3.
2*b**2*(b + 1)**2*(7*b - 2)/5
Suppose 7/4*s**2 - 29/2*s + 4 = 0. Calculate s.
2/7, 8
Let o(x) = -4*x - 11*x**2 + 2*x**2 + 10 - 7*x + x**3. Let m be o(10). Solve -1/5*p**2 + 1/5*p + m = 0 for p.
0, 1
Let j(n) be the first derivative of n**8/840 - 2*n**7/1575 - n**6/900 + 3*n**2 + 2. Let x(q) be the second derivative of j(q). Suppose x(o) = 0. Calculate o.
-1/3, 0, 1
Let x(k) be the first derivative of -2*k**5/25 + 2*k**4/5 - 4*k**3/5 + 4*k**2/5 - 2*k/5 - 15. Factor x(h).
-2*(h - 1)**4/5
Let d = 6 + -2. Factor l**3 + l**4 - 5*l**4 + 0*l**d - 2*l**5 - 3*l**3.
-2*l**3*(l + 1)**2
Let d(x) be the first derivative of x**6/120 + x**5/15 + x**4/6 - 5*x**2/2 + 3. Let h(v) be the second derivative of d(v). Factor h(i).
i*(i + 2)**2
Let s be (-3 + 5)/2*-1. Let c(x) = -3*x**3 - 1. Let k be c(s). Find h such that -2*h**4 + 7*h**4 + 2*h**k - 2*h + 10*h**3 + h**4 = 0.
-1, 0, 1/3
Let u = -2 + 2. Let r = -62/3 - -21. Find h, given that 1/3*h**3 - r*h**2 - 1/3*h + 1/3*h**4 + u = 0.
-1, 0, 1
Let r = -37 + 40. Factor 0*t + 0 - 1/2*t**4 + 0*t**r + 1/2*t**2.
-t**2*(t - 1)*(t + 1)/2
Factor -4/7*v**3 + 2/7*v**2 + 0*v + 0 + 2/7*v**4.
2*v**2*(v - 1)**2/7
Suppose -4*w + 5*d + 32 = 0, -3*w + 15 = -4*d - 9. Factor 1/3*x**4 + 32/3*x + 16/3 + w*x**2 + 8/3*x**3.
(x + 2)**4/3
Let w = -123/4 - -31. Let b(v) = 2*v**3 - 47*v**2 - 21*v - 72. Let m be b(24). Factor m*y + w*y**2 - 1/4*y**4 + 0*y**3 + 0.
-y**2*(y - 1)*(y + 1)/4
Let w(n) = n**2 + 5*n + 6. Let i be w(-4). Factor -7*p**3 - 6*p**3 - i*p**3 - 3*p**5 - 3*p**2 - 6*p**2 - 2*p - 11*p**4.
-p*(p + 1)**3*(3*p + 2)
Let l(m) be the second derivative of m**2 - 1/6*m**4 + 0 + 0*m**3 - m. Factor l(s).
-2*(s - 1)*(s + 1)
Let i(r) = -3*r**4 - 60*r**3 + 12*r**2 + 60*r. Let x(a) = a**4 + 15*a**3 - 3*a**2 - 15*a. Let t(k) = -2*i(k) - 9*x(k). Factor t(o).
-3*o*(o - 1)*(o + 1)*(o + 5)
Let i(x) be the second derivative of 0*x**4 + 0*x**3 + 2*x + 1/15*x**5 + 0 - 1/2*x**2 + 1/12*x**6. Let v(y) be the first derivative of i(y). Factor v(l).
2*l**2*(5*l + 2)
Let u(g) be the second derivative of 2*g**7/105 - 2*g**6/75 - 3*g**5/25 + g**4/15 + 4*g**3/15 - 2*g. Solve u(w) = 0.
-1, 0, 1, 2
Let b(t) = t**3 - 10*t**2 + 10*t - 11. Let j be b(9). Let q be 5/(-15) - 1*j. Factor -4*l**3 + 3*l**2 + 0 - 2/3*l + q*l**4.
l*(l - 1)**2*(5*l - 2)/3
Let s(l) = -42*l**2 + 3*l + 3. Let d(o) = -12*o**2 + o + 1. Let n(q) = 18*d(q) - 5*s(q). Factor n(u).
-3*(u - 1)*(2*u + 1)
Let u(d) be the first derivative of -49*d**5/40 - 77*d**4/16 - 37*d**3/24 + 33*d**2/4 - 9*d/2 + 1. Factor u(p).
-(p + 2)**2*(7*p - 3)**2/8
Let c(v) be the first derivative of 2 + 1/6*v**4 - 1/30*v**5 - 1/3*v**3 + 1/3*v**2 + 2*v. Let k(w) be the first derivative of c(w). Factor k(j).
-2*(j - 1)**3/3
Let k(t) be the first derivative of -2*t**5/45 - t**4/18 + 2*t**3/27 + t**2/9 - 9. Factor k(j).
-2*j*(j - 1)*(j + 1)**2/9
Suppose -4*v = 16, 4*b + 3*v - 10 = -2. Let z be -1 - (-2 - -4 - b). Suppose -2 + i**2 - 4*i**2 + 4*i**z + i = 0. Calculate i.
-2, 1
Let y(w) be the second derivative of 2*w**6/45 - w**5/60 - w**4/3 + 11*w**3/18 - w**2/3 - 24*w. Factor y(f).
(f - 1)**2*(f + 2)*(4*f - 1)/3
Let o(l) = -l**5. Let s(p) = 3*p**4 + 9*p**3 - 3*p**2 - 6*p. Let q(z) = -3*o(z) - s(z). Factor q(r).
3*r*(r - 2)*(r - 1)*(r + 1)**2
Let l = -6743 + 20443/3. Let c = 72 - l. Factor c*b**3 - 2/3*b - 2/3*b**2 + 2/3.
2*(b - 1)**2*(b + 1)/3
Let q(j) be the third derivative of -j**7/945 + j**6/270 - 11*j**2. Factor q(v).
-2*v**3*(v - 2)/9
Let c = -1 + -2. Let r be ((-6)/(-9))/((-1)/c). Factor -5*q**4 + 3*q**2 + 0*q**r + 6*q**3 - 6*q + 2*q**4.
-3*q*(q - 2)*(q - 1)*(q + 1)
Let v(m) be the second derivative of m**5/20 + 5*m**4/18 + 2*m**3/9 - 4*m**2/3 + 11*m. Determine p so that v(p) = 0.
-2, 2/3
Let w(b) be the first derivative of -2*b**6/15 - 12*b**5/25 - 3*b**4/5 - 4*b**3/15 + 30. Factor w(h).
-4*h**2*(h + 1)**3/5
Solve 12/13*i**4 + 28/13*i**2 - 4/13 + 38/13*i**3 - 2/13*i = 0 for i.
-2, -1, -1/2, 1/3
Let q(f) be the second derivative of f**4/54 + 2*f**3/27 - 2*f. Factor q(n).
2*n*(n + 2)/9
Let a = 835/5681 + 3/437. Solve 8/13 - a*p**3 + 10/13*p**2 - 16/13*p = 0 for p.
1, 2
Let f = 7 - 4. Let 0*v**f - 2/5*v**2 + 2/5*v**4 + 0 + 1/5*v**5 - 1/5*v = 0. Calculate v.
-1, 0, 1
Let t = -9 - -37/4. Suppose 1/4*p**2 + 0 - t*p = 0. What is p?
0, 1
Let b(j) = 7*j**4 - 20*j**3 + 15*j**2 + 2*j + 4. Let k(q) = -7*q**4 + 21*q**3 - 16*q**2 - 3*q - 5. Let d(x) = -5*b(x) - 4*k(x). Find n, given that d(n) = 0.
0, 2/7, 1
Let n(f) = -13*f**4 + 25*f**3 - 17*f**2 + f - 1. Let k(g) = 14*g**4 - 26*g**3 + 18*g**2 - 2*g + 2. Let z(m) = 5*k(m) + 6*n(m). What is h in z(h) = 0?
-1/2, 1
Let f(j) be the third derivative of j**5/80 - j**3/8 + 3*j**2. Factor f(g).
3*(g - 1)*(g + 1)/4
Let z be (1810/(-7))/(2/1). Let y = -129 - z. Solve 4/7*d - 4/7*d**3 + 2/7*d**2 + 0 - y*d**4 = 0 for d.
-2, -1, 0, 1
Let p be ((-2)/(-3))/((-9)/(-18)). Factor 2*i + 0*i**2 - 2/3*i**3 - p.
-2*(i - 1)**2*(i + 2)/3
Suppose 53 = w + 51. Suppose 5/2*n**4 - 7*n**w + 1/2*n**5 + 9/2 + n**3 - 3/2*n = 0. What is n?
-3, -1, 1
Let 2/3*u**2 + 1/3*u**3 + 0*u + 0 = 0. What is u?
-2, 0
Let f(p) = -4*p**2 + 13*p - 4. Let l(z) = -z**2 + 4*z - 1. Let g be 72/(-8)*2/(-6). Suppose 2 = g*b - 4. Let v(y) = b*f(y) - 7*l(y). Factor v(d).
-(d + 1)**2
Let v(b) be the first derivative of 7*b**6/45 + 4*b**5/75 - 2. Factor v(n).
2*n**4*(7*n + 2)/15
Find i such that -7/6*i + 1/6*i**4 + 1/3 - 5/6*i**3 + 3/2*i**2 = 0.
1, 2
Let m = -2 - -5. Suppose -h - 2*h + 3*n = -15, -5*h = -m*n - 19. Factor 2*p + 3*p**2 - 2*p**2 + p**h.
2*p*(p + 1)
Factor 2 + 8*w**2 - 4 + 8 + 20*w + 8*w**2.
2*(2*w + 1)*(4*w + 3)
Let j(r) = r**4 + r**3 - r**2 - r. Let w(b) = -10*b**4 - 10*b**3 + 12*b**2 + 10*b - 2. Let g(v) = -36*j(v) - 4*w(v). Factor g(x).
4*(x - 1)**2*(x + 1)*(x + 2)
Let l(m) = 5*m**4 + 9*m**2 + 2*m - 4. Let a(q) = -6*q**4 - q**3 - 10*q**2 - 3*q + 5. Let j(b) = -4*a(b) - 5*l(b). Factor j(r).
-r*(r - 2)*(r - 1)**2
Let h(u) = 7*u**2 - u + 1. Let t be h(1). Suppose 0 = 3*k - t*k. Factor 0*y**3 - y**3 - y + 2*y**3 - 1 + k*y**3 + y**2.
(y - 1)*(y + 1)**2
Let z(h) be the first derivative of -2*h**6/3 + 12*h**5/5 - 3*h**4 + 4*h**3/3 - 26. Factor z(o).
-4*o**2*(o - 1)**3
Let p = -16 + 28. Suppose -4*o + 4*n = o - p, -10 = -5*o + 5*n. Find w such that -w**2 + w**3 - w + w**4 - 2*w**4 + 2*w**o = 0.
-1, 0, 1
Let k(c) = -35728*c**5 + 44233*c**4 - 21816*c**3 + 5353*c**2 - 663*c + 39. Let b(f) = -f**5 + f**4 - f**2 - f + 1. Let i(j) = -35*b(j) + 5*k(j). Factor i(a).
-5*(7*a - 2)**2*(9*a - 2)**3
Let t(o) be the third derivative of -o**5/120 - o**4/48 + o**3/6 + 8*o**2. Find d such that t(d) = 0.
-2, 1
Let y(a) = 25*a**2 + 28*a + 13. Let h(n) = -62*n**2 - 70*n - 32. Let u(v) = -5*h(v) - 12*y(v). Suppose u(o) = 0. What is o?
-1, -2/5
Let z(d) be the first derivative of 3*d**4/28 - 3*d**2/14 - 5. Factor z(g).
3*g*(g - 1)*(g + 1)/7
Let n(l) = -l**2 + 0*l + 0*l + l. Let q(p) = -2*p**3 - 8*p**2 + 8*p + 2. Suppose -w = 3*w - 4. Let h(g) = w*q(g) - 6*n(g). Factor h(r).
-2*(r - 1)*(r + 1)**2
Let h(o) be the first derivative of 3 - o**3 + 0*o**2 + 1/27*o**4 + 0*o + 1/135*o**5 + 1/1620*o**6. Let i(f) be the third derivative of h(f). Factor i(s).
2*(s + 2)**2/9
What is g in 148/7*g**2 - 128/7*g**3 - 8/7*g**5 + 52/7*g**4 + 16/7 - 80/7*g = 0?
1/2, 1, 2
Let a(b) = -15*b**2 + 35*b + 15. Let m(y) = -14*y**2 + 34*y + 14. Let o(p) = 2*a(p) - 3*m(p). Solve o(h) = 0 for h.
-1/3, 3
Determine w, given that 0*w + 