 + 0*y + 0.
2*y**2*(y - 2)*(y - 1)**2/13
Let a(g) be the first derivative of -g**5/10 + g**3/3 - g/2 + 9. Factor a(k).
-(k - 1)**2*(k + 1)**2/2
Suppose -85 = -a - 31. Let n be 2/3*a/72. Suppose 1/4*r**3 + 0 + 1/4*r**2 - n*r = 0. Calculate r.
-2, 0, 1
Suppose -5*f = 4 - 64. Factor -n**4 + 11 - 4*n**2 - 3 + 22*n**3 - f*n - 10*n**3 - 3*n**4.
-4*(n - 2)*(n - 1)**2*(n + 1)
Let t(a) be the third derivative of -a**7/420 + a**6/120 - a**5/120 - 4*a**2 - 2*a. Factor t(l).
-l**2*(l - 1)**2/2
Let v(g) = -g**3 + 4*g**2 - 4*g + 1. Let q be v(3). Let j be 2/4 - q/(-4). Factor -2/9*l**5 + 0*l + 2/9*l**3 + j + 2/9*l**2 - 2/9*l**4.
-2*l**2*(l - 1)*(l + 1)**2/9
Let f(i) be the third derivative of -i**5/15 - i**4/2 - 4*i**3/3 + 4*i**2. Find a such that f(a) = 0.
-2, -1
Let t(x) be the second derivative of -x**7/105 + 4*x**6/75 - 3*x**5/25 + 2*x**4/15 - x**3/15 - 2*x + 3. Factor t(m).
-2*m*(m - 1)**4/5
Let r(u) be the second derivative of -u**4/6 + u**2 + 2*u + 34. Factor r(x).
-2*(x - 1)*(x + 1)
Let n(i) be the first derivative of 5*i**6/14 - 33*i**5/35 + 3*i**4/4 - i**3/7 + 23. Suppose n(x) = 0. Calculate x.
0, 1/5, 1
Suppose 0 = -0*j + 5*j - 35. Let u = j + -4. Factor -2*s**2 + 10*s - 4*s - 4 + 2*s**2 - 2*s**u.
-2*(s - 1)**2*(s + 2)
Let c(x) be the second derivative of -1/30*x**5 + 1/45*x**6 + 0 + 0*x**3 - 1/189*x**7 - 5*x + 1/54*x**4 + 0*x**2. Determine w so that c(w) = 0.
0, 1
Factor 6/5 + 3/5*f - 3/5*f**2.
-3*(f - 2)*(f + 1)/5
Let d(p) = p**3 - 5*p**2 + 4*p. Let m be d(4). Determine a, given that m + 2/5*a + 6/5*a**3 + 6/5*a**2 + 2/5*a**4 = 0.
-1, 0
Let z(t) be the third derivative of t**6/360 - t**5/60 - t**4/8 - 5*t**3/18 + 26*t**2. Factor z(w).
(w - 5)*(w + 1)**2/3
Let z(x) be the third derivative of x**8/84 + 2*x**7/105 - x**6/15 - 17*x**2. Find j, given that z(j) = 0.
-2, 0, 1
Let f(u) be the first derivative of -1/6*u**4 + 2/3*u**3 - 2/3*u**2 - 6 + 0*u. Determine a so that f(a) = 0.
0, 1, 2
Let r(o) be the third derivative of 17*o**6/150 - 19*o**5/75 + o**4/15 + 14*o**2. Factor r(y).
4*y*(y - 1)*(17*y - 2)/5
Factor -2/9*t**2 - 10/9*t - 4/3.
-2*(t + 2)*(t + 3)/9
Let y(t) be the second derivative of -t**4/16 + 5*t**3/8 - 17*t. Factor y(f).
-3*f*(f - 5)/4
Let i(x) be the first derivative of 0*x - 1 - 2/15*x**3 - 1/5*x**2 + 1/10*x**4 + 2/25*x**5. What is o in i(o) = 0?
-1, 0, 1
Let s(g) be the first derivative of g**5/10 - g**4/6 - 4*g - 2. Let r(f) be the first derivative of s(f). Factor r(t).
2*t**2*(t - 1)
Let s be 3/(-9)*-1*6. Let c(r) be the second derivative of -2*r - 4/7*r**s - 3/14*r**4 + 0 - 4/7*r**3. Factor c(q).
-2*(3*q + 2)**2/7
Let s(o) be the second derivative of -o**7/84 - o**6/20 - 3*o**5/40 - o**4/24 - 6*o. Determine r so that s(r) = 0.
-1, 0
Let u(q) be the third derivative of q**6/180 - q**5/90 + q**2. Factor u(p).
2*p**2*(p - 1)/3
Let k(l) be the third derivative of -l**6/420 - l**5/105 + l**4/28 + l**2 - 34. Factor k(n).
-2*n*(n - 1)*(n + 3)/7
Suppose 2*t = -6*t. Let h(x) be the first derivative of 0*x + t*x**3 - 1/2*x**4 + 0*x**2 + 3. Determine k so that h(k) = 0.
0
Let t(d) be the third derivative of 0 + 0*d**3 + 0*d - 1/30*d**5 + d**2 + 0*d**4. Suppose t(z) = 0. What is z?
0
Let x(v) be the third derivative of v**6/720 - v**5/160 - v**4/48 - 5*v**3/6 + v**2. Let w(r) be the first derivative of x(r). Factor w(d).
(d - 2)*(2*d + 1)/4
Let u = -77917/57 + 1367. Let h = u + 53/114. What is a in -h*a**3 - a + 0 + 3/2*a**2 = 0?
0, 1, 2
Suppose 2*d - 7*d + 80 = 0. Let s = -14 + d. Determine f, given that -2/7*f**s + 2/7*f + 4/7 = 0.
-1, 2
Let m(p) be the first derivative of p**3 + 3*p**2/2 - 6*p - 10. Factor m(j).
3*(j - 1)*(j + 2)
Let w(j) = -6*j**2 - 84*j - 99. Let c(m) = m**2 + 12*m + 14. Suppose 0 = -2*a - 2*a + 8. Let p(u) = a*w(u) + 15*c(u). Factor p(b).
3*(b + 2)**2
Let w = -100 - -203/2. Let -w*s**2 + 1 + 1/2*s = 0. What is s?
-2/3, 1
Suppose 14 = 4*n - 0*z - 3*z, 0 = -2*n - 5*z - 6. Factor 0*c**5 - 3*c**3 + 2*c**5 - c**3 + n*c**3 - c**2 + c**4.
c**2*(c - 1)*(c + 1)*(2*c + 1)
Let w(c) = -c**3 - c**2 - c - 1. Let t(i) = 3*i**3 + 15*i**2 - 9*i + 11. Let g(h) = -2*t(h) - 10*w(h). Factor g(l).
4*(l - 3)*(l - 1)**2
Let k(z) be the second derivative of z**4/6 + z**3/3 + 6*z. Solve k(g) = 0 for g.
-1, 0
Suppose -6*m - 3 = -7*m. Let p(c) be the third derivative of 0*c - 1/6*c**m + 1/12*c**4 - 1/60*c**5 + 2*c**2 + 0. Factor p(q).
-(q - 1)**2
Let h(f) be the third derivative of f**6/60 + f**5/15 + f**4/12 + 6*f**2. Factor h(y).
2*y*(y + 1)**2
Let y(s) be the first derivative of 0*s**2 + 1 + 0*s + 1/6*s**3. Factor y(q).
q**2/2
Find k such that 0*k + 3/5*k**2 - 12/5 = 0.
-2, 2
Suppose 3*w + 2*w = -f + 10, -w + 2 = 5*f. Let y(s) be the second derivative of -1/21*s**3 + 3*s + 0 - 1/21*s**4 + 0*s**w - 1/70*s**5. Solve y(h) = 0.
-1, 0
Let u = 190/9 - 2054/99. Let l be ((-3)/(-6))/(1/4). Factor 10/11*f - 8/11*f**l - u + 2/11*f**3.
2*(f - 2)*(f - 1)**2/11
Let y(j) be the third derivative of 9*j**2 - 2/15*j**5 + 0 + 1/6*j**4 + 0*j + 0*j**3 - 1/24*j**6. Determine q, given that y(q) = 0.
-2, 0, 2/5
Let n(d) be the first derivative of -d**6/30 + d**5/25 + d**4/10 - 2*d**3/15 - d**2/10 + d/5 - 7. Find k such that n(k) = 0.
-1, 1
Let t(w) = 7*w**4 - 15*w**3 + 12*w**2 + 4*w - 19. Let a(l) = -4*l**4 + 8*l**3 - 6*l**2 - 2*l + 10. Let j(q) = 11*a(q) + 6*t(q). Solve j(o) = 0 for o.
-2, -1, 1
Suppose -5*h = -5*n - 95, -4*h - 27 + 87 = 4*n. Suppose 0 = 4*g - 3 - 29. Find f such that h*f**3 - 5*f**3 + 20*f + 3*f + f - g - 2*f**4 - 26*f**2 = 0.
1, 2
Let l(p) = -9*p**5 + 18*p**4 - 12*p**3 + 6*p**2 - 15*p + 12. Let c(n) = -n**5 + n**4 - n**3 + n**2 - n + 1. Let g(r) = -12*c(r) + l(r). Factor g(o).
3*o*(o - 1)*(o + 1)**3
Let d(r) be the second derivative of r**7/2100 - r**6/450 + r**5/300 + r**3/6 - 3*r. Let z(j) be the second derivative of d(j). Let z(n) = 0. What is n?
0, 1
Let x(o) = o**5 - 3*o**3 - 2*o - 2. Let i(a) = -a**3 - a - 1. Let f(d) = 6*i(d) - 3*x(d). Solve f(j) = 0 for j.
-1, 0, 1
Let k(f) be the second derivative of f**5/230 - f**4/46 - 4*f**3/69 - 12*f. Find s such that k(s) = 0.
-1, 0, 4
Let a(h) be the second derivative of h**10/30240 + h**9/7560 - h**7/1260 - h**6/720 - h**4/6 + h. Let b(x) be the third derivative of a(x). Factor b(d).
d*(d - 1)*(d + 1)**3
Let n(t) be the second derivative of 2*t**7/21 - 8*t**6/15 + 4*t**5/5 - 10*t. Determine k so that n(k) = 0.
0, 2
Let y(v) be the second derivative of -1/14*v**4 - 1/7*v**2 - 1/70*v**5 + 0 - 1/7*v**3 - v. Let y(c) = 0. Calculate c.
-1
Let q(w) be the second derivative of w**5/160 - w**4/16 + 3*w**3/16 - w**2/4 - 36*w + 2. Find n, given that q(n) = 0.
1, 4
Factor 166*i**2 - 146*i**2 + 6*i**3 - 19*i - 6*i - i**3.
5*i*(i - 1)*(i + 5)
Let y(x) be the first derivative of -x**4/18 + 4*x**3/27 + x**2/9 - 4*x/9 + 6. Suppose y(p) = 0. What is p?
-1, 1, 2
Let t = -362/3 + 123. Let b(k) be the second derivative of 0 - 4/3*k**4 + t*k**3 + 2*k - k**2 - 8/5*k**5. Solve b(d) = 0 for d.
-1, 1/4
Let f be (-2)/(2 - 1) - -4. Factor -f*r**3 - r - 1/2 + 7/2*r**2.
-(r - 1)**2*(4*r + 1)/2
Let q(i) be the second derivative of 21*i**6/50 + 6*i**5/25 - i**4/12 - i**3/15 - 10*i. Determine g so that q(g) = 0.
-1/3, 0, 2/7
Suppose -4*a = -17 + 5. Let b(p) be the first derivative of 7/8*p**2 - 2 + 5/12*p**a + 1/2*p. Factor b(d).
(d + 1)*(5*d + 2)/4
Let c(q) = 4*q**4 + 44*q**3 + 28*q**2 + 4*q + 8. Let g(p) = -3*p**4 - 29*p**3 - 19*p**2 - 3*p - 5. Let s(b) = -5*c(b) - 8*g(b). Find d such that s(d) = 0.
-1, 0
Let i(k) be the second derivative of k**4/21 - 10*k**3/21 - k + 17. Factor i(t).
4*t*(t - 5)/7
Factor -88/7*j**2 + 8/7 - 4*j.
-4*(2*j + 1)*(11*j - 2)/7
Let f(s) be the first derivative of 3/5*s**5 + 0*s**2 - 6 - 1/6*s**6 + 0*s + 1/3*s**3 - 3/4*s**4. Let f(q) = 0. Calculate q.
0, 1
Factor -37 - 5*q - 5*q**2 + 47 + 0*q.
-5*(q - 1)*(q + 2)
Let k(u) = u**2 + 3. Let p be k(0). Factor l - 9 - 8*l**p + 7*l + 5 + 4*l**4.
4*(l - 1)**3*(l + 1)
Let m be ((-6)/(-4))/(25/(-78)). Let a = m - -1669/175. Factor 22/7*d - 6*d**2 + a*d**3 - 4/7 - 10/7*d**4.
-2*(d - 1)**3*(5*d - 2)/7
Let z(h) be the second derivative of 3*h**5/10 - h**4/6 - h**3 + h**2 - 5*h. Factor z(w).
2*(w - 1)*(w + 1)*(3*w - 1)
Let s(v) be the second derivative of v**4/4 + v**3/6 + 9*v. Suppose s(h) = 0. Calculate h.
-1/3, 0
Let v = 177 - 175. Let p(t) be the third de