et n = 14/39 + -44/195. Let u(j) be the first derivative of -2 + n*j**3 + 0*j**2 + 1/10*j**4 + 0*j. Factor u(q).
2*q**2*(q + 1)/5
Let q(r) be the first derivative of r**6/18 - r**5/15 - r**4/6 + 2*r**3/9 + r**2/6 - r/3 + 33. Factor q(y).
(y - 1)**3*(y + 1)**2/3
Suppose 5*z + 15 = 10*z. Let m(j) be the second derivative of j**2 - 1/6*j**4 - 2*j + 0*j**z + 0. Factor m(r).
-2*(r - 1)*(r + 1)
Suppose -2*f = 5*j + 6, 2*f - 4*j - 12 = -0*j. Let z(c) be the second derivative of 0*c**3 - 3*c - 1/60*c**4 + 0 + 1/10*c**f. Determine m so that z(m) = 0.
-1, 1
Let h(l) = 5*l**5 + 14*l**4 - 4*l**3 - 4*l - 4. Let g(j) = -15*j**5 - 41*j**4 + 11*j**3 + 11*j + 11. Let v(y) = -4*g(y) - 11*h(y). Find t, given that v(t) = 0.
-2, 0
Let h(v) be the second derivative of -13*v**5/8 + 97*v**4/48 - v**3/3 - v**2/2 + 20*v. Solve h(k) = 0.
-2/13, 2/5, 1/2
Let a(s) be the third derivative of -s**8/48 + 8*s**7/105 - 11*s**6/120 + s**5/30 - 10*s**2. Factor a(n).
-n**2*(n - 1)**2*(7*n - 2)
Let l(d) be the second derivative of -d**5/180 + d**4/24 - d**3/9 - 2*d**2 - 2*d. Let f(p) be the first derivative of l(p). Factor f(r).
-(r - 2)*(r - 1)/3
Let l(x) be the first derivative of x**3/6 - 2*x**2 + 8*x - 5. Factor l(i).
(i - 4)**2/2
Let d(f) be the second derivative of -f**6/6 + f**5 - 5*f**4/3 - 7*f. Factor d(b).
-5*b**2*(b - 2)**2
Suppose 5*m = 5*w - 35, 26 + 13 = 5*w - 3*m. Suppose -25 = 2*c + 3*c, -5*c - w = 4*p. Solve 3*h**2 + 9*h**p + 7*h**4 - 2*h**2 - 8*h**3 = 0 for h.
0, 1/4
Let v be (16/240)/(2/2). Let c(j) be the first derivative of -1/4*j**4 + 1/3*j**2 + 0*j + 1/18*j**6 + 1/9*j**3 - v*j**5 + 2. Factor c(q).
q*(q - 2)*(q - 1)*(q + 1)**2/3
Let b(l) be the first derivative of -1/5*l**5 + 1/6*l**6 + 0*l - 3 + 0*l**3 + 0*l**2 - 1/2*l**4. Find c such that b(c) = 0.
-1, 0, 2
Let h = -2 + 4. Factor 18*n + 5*n**h + n**2 + 15 - 3*n**2 + 12.
3*(n + 3)**2
Let v(t) = t**2 - 3*t. Let u be v(4). Suppose -4*h**4 - 17*h**3 + 11*h**2 - 13*h**3 + 12*h - 12*h**4 - 9*h**u - 4 = 0. Calculate h.
-1, 2/5
Factor 16/5*r + 0*r**2 - 12/5*r**3 + 4/5*r**4 + 0.
4*r*(r - 2)**2*(r + 1)/5
Suppose -5*h + h + 12 = 0, 0 = 3*y - 2*h + 6. Let j = 1/12 - -1/6. Factor 0 + 1/4*o**2 + y*o**3 - j*o**4 + 0*o.
-o**2*(o - 1)*(o + 1)/4
Factor 7*l + l + 2*l**2 + 9 - 8 + 7.
2*(l + 2)**2
Factor -4*p**3 + 0*p**3 + 2*p**3 + 8*p**2 - 2*p**2.
-2*p**2*(p - 3)
Let g(d) be the second derivative of -d**6/270 + d**5/60 + d**4/108 - d**3/18 - 24*d. Factor g(o).
-o*(o - 3)*(o - 1)*(o + 1)/9
Let i(g) be the second derivative of 0*g**2 - 1/40*g**5 - 1/12*g**3 + 0 + 1/12*g**4 - 4*g. Factor i(r).
-r*(r - 1)**2/2
Let 12*m**2 - 23 + 2*m**2 + 8 - 10*m + 11*m**2 = 0. Calculate m.
-3/5, 1
Suppose -2*r = -7*r. Suppose 0 = 3*z - r*z. Factor 1/4*h**2 - 1/4*h**3 + z + 0*h.
-h**2*(h - 1)/4
Let d be 0*(-2)/((-8)/2). Let b = 1/11 - -8/33. What is f in 1/3*f - b*f**3 + d + 0*f**2 = 0?
-1, 0, 1
Let h(n) = -3*n**2 - 25*n - 27. Let q(y) = -5 + 2*y - 4 - 4*y - y**2 - 6*y. Let s(f) = -4*h(f) + 14*q(f). Solve s(r) = 0.
-3
Let j(q) = -q**3 + q**2 - 1. Suppose -10 = -x - o + 5, -o = -5. Let t(w) = -8*w**3 + 4*w**2 + 6*w - 12. Let a(b) = x*j(b) - t(b). Factor a(p).
-2*(p - 1)**3
Solve -12/5*o**2 + 4/5*o + 12/5*o**3 + 0 - 4/5*o**4 = 0.
0, 1
Suppose 70 = 3*o - 5*c, -4*o - 28 + 100 = 4*c. Factor -10*g - 14*g**4 + o*g**2 + 4*g**5 + 2*g - 12*g**3 + 10*g**4.
4*g*(g - 1)**3*(g + 2)
Let r be (((-6)/16)/(-1))/3. Let a(x) be the first derivative of 1/4*x**2 + r*x**4 + 0*x - 1/3*x**3 + 1. Factor a(y).
y*(y - 1)**2/2
Let f(d) be the third derivative of d**6/40 + d**5/20 - d**4/4 - 14*d**2. Find s, given that f(s) = 0.
-2, 0, 1
Let n = -54 - -163/3. Let o(t) be the first derivative of -1 - n*t + 1/5*t**5 + 2/3*t**2 - 1/3*t**4 - 2/9*t**3. Factor o(b).
(b - 1)**2*(b + 1)*(3*b - 1)/3
Let q be 12/16 - ((-98)/40)/(-7). Factor 0 - q*v**3 - 2/5*v + 4/5*v**2.
-2*v*(v - 1)**2/5
Let k(h) be the first derivative of h**5/15 + h**4/4 + 2*h**3/9 - 3. Factor k(z).
z**2*(z + 1)*(z + 2)/3
Let a(d) be the first derivative of 9/2*d - 6*d**2 + 2 + 1/10*d**5 + 11/3*d**3 - d**4. Determine l so that a(l) = 0.
1, 3
Let u(v) be the second derivative of -v**6/90 - v**5/12 - v**4/6 + 2*v**3/9 + 4*v**2/3 - 13*v. Let u(n) = 0. Calculate n.
-2, 1
Factor 28*y + 100*y**3 + 16*y**5 - 83*y**2 - 64*y**4 - 1 + 7*y**2 - 3.
4*(y - 1)**3*(2*y - 1)**2
Suppose 25 + 2 = -3*n. Let v be n/3 + (2 - -4). Find p such that p**2 + 17*p - 12 - 8*p - 16*p**2 + 3*p**v + 15*p = 0.
1, 2
Let j(v) = -v**3 + 2*v**2 + 5*v - 6. Let s be j(3). Let a(k) be the second derivative of -k - 1/24*k**3 + 1/48*k**4 + s + 0*k**2. Factor a(l).
l*(l - 1)/4
Let s(h) = 5*h**2 - 11*h - 24. Let l(w) = 10*w**2 - 23*w - 47. Let v(i) = 4*l(i) - 7*s(i). Find r such that v(r) = 0.
-1, 4
Let x(v) be the second derivative of -v**8/10080 + v**7/1260 - v**6/360 + v**5/180 + v**4/6 + 6*v. Let b(a) be the third derivative of x(a). Factor b(c).
-2*(c - 1)**3/3
Let t be 6/9 - (-24)/54. Let j be (4/(-10))/(1/(-5)). Determine x, given that 0 + 16/9*x**j + t*x**3 + 2/9*x**4 + 8/9*x = 0.
-2, -1, 0
Let x be 6/(-21) + 8/(1792/78). Let o(w) be the first derivative of 3 - x*w**4 + 5/12*w**3 + w - w**2. Factor o(b).
-(b - 2)**2*(b - 1)/4
Factor 80 + 2*s**2 + 3*s**2 - 9*s + 32*s + 17*s.
5*(s + 4)**2
Let t(g) = -2*g**2 + 5*g - 9. Let j(p) = -p**2 - p. Let q(d) = j(d) - t(d). Factor q(s).
(s - 3)**2
Let c be -2 + (-1)/(0 + -1). Let o be -1 - (3 - c)/(-1). Let r**3 + 4*r**4 - 7*r + 2*r**5 - 4*r - 5*r**3 - 16*r**2 - 4 - o*r = 0. Calculate r.
-1, 2
Let r = 2 - 0. Factor -32*z**3 + 32*z**3 - 2*z**r + 2*z**4.
2*z**2*(z - 1)*(z + 1)
Let k(u) be the first derivative of -u**4/24 + u**3/9 + 4. Determine w so that k(w) = 0.
0, 2
Let j be (-4)/2 - (0 - 6). Factor 4*h**2 - j - 3*h + 0*h + 12 - 9*h.
4*(h - 2)*(h - 1)
Let o(t) = t**2 - t. Let m(r) = 3*r**4 + 6*r**3 - 6*r**2 - 3*r. Let i(p) = -m(p) - 3*o(p). Let i(q) = 0. Calculate q.
-2, -1, 0, 1
Let a be (-4 + 6)*(-3)/(-2). Let -5*k**2 - 7*k**a + k - 2*k**4 - 3*k - k**2 + k**3 = 0. Calculate k.
-1, 0
Find v such that -2*v**2 + 3*v - 1 - v + v**2 - 4*v = 0.
-1
Let j(h) = -h**2 - h. Let b(m) = -m**2 + 6*m - 2. Let t(k) = b(k) + j(k). Suppose t(c) = 0. Calculate c.
1/2, 2
Let t(z) = -z + 3. Let n(k) = k + 2. Let o be n(-2). Let f be t(o). Suppose 1 - 1/2*p**4 + 3/2*p - 3/2*p**f - 1/2*p**2 = 0. What is p?
-2, -1, 1
Let y be 4 + (2/3 - 75/18). Let m(j) be the first derivative of -3 + 0*j**3 - 2/3*j - 1/12*j**4 + y*j**2. Solve m(v) = 0 for v.
-2, 1
Let g(w) = -w**2 + w + 1. Let l(m) = -3*m**4 + 21*m**3 - 63*m**2 + 63*m - 6. Let p(d) = -12*g(d) + l(d). Determine j, given that p(j) = 0.
1, 2, 3
Let m(z) be the second derivative of z**6/40 - 3*z**4/16 + z**3/4 + 11*z. Factor m(s).
3*s*(s - 1)**2*(s + 2)/4
Let l(f) be the third derivative of f**6/150 + f**5/75 - 2*f**4/15 - 8*f**3/15 - 57*f**2. Let l(m) = 0. What is m?
-2, -1, 2
Let c be ((-4)/(-12))/(1/33). Let t = -8 + c. Let 2 + 11*h + 16*h**2 + 0 + 7*h**t + 0 = 0. What is h?
-1, -2/7
Let x(g) = g**3 - 3*g**2 - 2. Let j(y) = -y**3 - 6*y**2 - y - 4. Let m be j(-6). Let u(i) = -1 - i**2 + 0*i**m + 0. Let b(w) = 4*u(w) - 2*x(w). Factor b(z).
-2*z**2*(z - 1)
Let -34*t + 15*t + 64 + 0 - 29*t + 4*t**3 = 0. Calculate t.
-4, 2
Let h(c) = -c - 9. Let f be h(-8). Let q = 1 + f. Find l such that 2*l**3 - l**5 - 3*l**3 + q*l**3 + 2*l**3 = 0.
-1, 0, 1
Let a be (-3)/(7 + -1)*-12. Let m be (-8)/a*9/(-30). Factor -1/5*l - 1/5*l**2 + m.
-(l - 1)*(l + 2)/5
Let i(q) be the second derivative of -22*q**6/15 + 13*q**5/5 - 2*q**4/3 - 3*q. Suppose i(n) = 0. What is n?
0, 2/11, 1
Let h(o) be the third derivative of -o**8/840 - o**7/105 - o**6/100 + 3*o**5/50 + 19*o**2. Factor h(f).
-2*f**2*(f - 1)*(f + 3)**2/5
Suppose 2 - 5 = -w. Suppose -w*y = -5*y. Suppose 0 + 0*t**3 + y*t - 1/3*t**4 + 1/3*t**2 = 0. What is t?
-1, 0, 1
Suppose -6*b = -4*b - 10. What is m in -14*m**2 + m**3 - 3 - 20*m + 3*m**5 + 4*m**4 - 5 - 2*m**b = 0?
-2, -1, 2
Let k(p) be the second derivative of -p**7/3780 + p**6/405 - p**5/108 + p**4/54 + p**3/6 - 3*p. Let u(h) be the second derivative of k(h). Factor u(r).
-2*(r - 2)*(r - 1)**2/9
Suppose -10 = 2*s - 7*s. Let u = s - -3. Factor 6*d**4 - u + 10*d**2 + d**5 - d**4 + 10*d**3 + 6 + 5*d.
(d + 1)**5
Let d be (-392)/(-736) - (-1)/4. Let t = d + 309/46. What is o in -t*o**2 + 35/2*o**4 + 9*