f?
-2/5, 0, 1
Let j(c) be the first derivative of c**6/3 - 2*c**5/5 - c**4/2 + 2*c**3/3 - 1. Let j(f) = 0. Calculate f.
-1, 0, 1
Let h(u) be the third derivative of -2/9*u**3 + 0*u - 1/30*u**5 - u**2 + 0 + 7/36*u**4. Factor h(w).
-2*(w - 2)*(3*w - 1)/3
Let b(t) be the second derivative of -t**4/4 - t**3 - 3*t**2/2 + 7*t. Suppose b(k) = 0. Calculate k.
-1
Let s = 2 - -6. Suppose -s = -5*f + 12. Solve 2*z**3 - z**3 + z**f + 4*z**5 + 4*z**4 = 0 for z.
-1, -1/4, 0
Suppose -3*v - 3 = 12. Let k(m) = m + 10. Let g be k(v). Factor g*c**3 + 3*c**2 + 1 - 3*c + 6*c - 4*c**3.
(c + 1)**3
Let m(n) be the second derivative of -1/8*n**2 - 1/12*n**3 - 1/48*n**4 + 0 + 3*n. Factor m(c).
-(c + 1)**2/4
Let a be ((-12)/(-28))/(3 - (-68)/(-28)). Factor a*m**2 + 1/4 - 1/4*m**3 - 3/4*m.
-(m - 1)**3/4
Suppose 6 = 6*b - 4*b. Suppose -32 = b*s - 7*s - 5*r, -2*s + 14 = 2*r. Factor 4 + 2*v + v**2 + v**2 - v**2 - s*v**2.
-2*(v - 2)*(v + 1)
Let z(p) be the third derivative of p**6/60 + p**5/15 + p**4/12 + 6*p**2. Determine u so that z(u) = 0.
-1, 0
Suppose 0 = l - 3*l + 8. Suppose -w = -4*n - 26, 2*w = n + 41 + l. Factor -8*i - 8/11 - w*i**2.
-2*(11*i + 2)**2/11
Let j = 3 - 7/3. Find q, given that -j*q + 2/9 - 2/9*q**3 + 2/3*q**2 = 0.
1
Let s(m) be the first derivative of m**6/2 + 9*m**5/5 + 3*m**4/2 - 2*m**3 - 9*m**2/2 - 3*m + 20. Solve s(l) = 0 for l.
-1, 1
Let t be 2/(-1) - -3 - -6. Solve -9*k**2 + 8*k**4 + 5*k**3 - 6*k**4 - 3 + 1 - 3*k**4 + t*k = 0.
1, 2
Factor 6/13*l - 4/13 - 2/13*l**2.
-2*(l - 2)*(l - 1)/13
Let h(p) be the first derivative of p**4/6 - 4*p**3/9 - 5*p**2/3 + 4*p + 44. Find o such that h(o) = 0.
-2, 1, 3
Let b be -4*1/1 - -2. Let o = b - -4. Factor 2*c + 8*c**2 + 2*c - 2*c**o.
2*c*(3*c + 2)
Suppose 3/2 + 0*y - 3/2*y**2 = 0. Calculate y.
-1, 1
Let s(r) be the third derivative of 0*r**3 + 1/240*r**5 + 0*r**4 + 1/240*r**6 + 0*r + 1/840*r**7 - 4*r**2 + 0. Suppose s(w) = 0. Calculate w.
-1, 0
Let s(y) = y**3 + y**2 - 1. Let b(u) = 4*u**3 + 30*u**2 + 32*u - 9. Let j(c) = -b(c) - 3*s(c). Determine n, given that j(n) = 0.
-3, -2, 2/7
Let q(p) = 15*p**2 + 105*p + 245. Let z(l) = -8*l**2 - 53*l - 122. Let a(s) = 3*q(s) + 5*z(s). Factor a(f).
5*(f + 5)**2
Suppose -7*i = -2*i + 20. Let c(b) = b + 7. Let a be c(i). Let -n**3 - a*n - 1 + n**2 + 5*n + 4*n - 5*n = 0. What is n?
-1, 1
Let d = 104 - 104. Let g(b) be the third derivative of 1/150*b**5 + d - b**2 + 2/15*b**3 + 0*b + 1/20*b**4. Solve g(a) = 0.
-2, -1
Let s(z) be the second derivative of z**4/24 + z**3 + 9*z**2 + 20*z. Factor s(m).
(m + 6)**2/2
Let j(f) be the second derivative of f**6/90 - f**5/20 + 2*f**3/9 + 20*f. Factor j(l).
l*(l - 2)**2*(l + 1)/3
Let s = -1114 + 1117. Factor 0 - 2/7*o**5 + 2/7*o**2 - 6/7*o**s + 0*o + 6/7*o**4.
-2*o**2*(o - 1)**3/7
Let i(x) = x**3 + 3*x**2 - 3*x + 6. Let q be i(-4). Factor t**4 + t**4 - q - 15*t + 35*t - 4*t**3 - 16*t.
2*(t - 1)**3*(t + 1)
Let h(q) be the first derivative of 6 + 1/9*q**3 + 0*q + 0*q**2. Find g, given that h(g) = 0.
0
Let i = -361/11 - -33. Suppose -2*q = -6 - 2. Factor -i*n + 2/11*n**2 + 2/11*n**3 + 0 - 2/11*n**q.
-2*n*(n - 1)**2*(n + 1)/11
Factor 0*l**3 + 0*l + 1/4*l**4 + 0*l**2 + 0 - 1/4*l**5.
-l**4*(l - 1)/4
Let h(d) be the third derivative of d**8/336 + d**7/35 + 7*d**6/60 + 4*d**5/15 + 3*d**4/8 + d**3/3 - 3*d**2. What is u in h(u) = 0?
-2, -1
Let h(t) = -t**3 - t**2 + t - 4. Let z be h(-3). Factor j**3 + z*j**4 - 4*j**2 - 16*j**4 - j + 9*j**4.
j*(j - 1)*(j + 1)*(4*j + 1)
Let l(d) be the second derivative of -3*d + 1/80*d**5 - 1/24*d**3 - 1/8*d**2 + 0 + 1/48*d**4. Find z, given that l(z) = 0.
-1, 1
Let k(w) be the first derivative of -1/4*w**4 + 2/3*w**3 + 0*w + 1/6*w**6 - 3 - 2/5*w**5 + 0*w**2. Determine g so that k(g) = 0.
-1, 0, 1, 2
What is c in 0 + 0*c - 2/15*c**3 + 2/15*c**2 = 0?
0, 1
Suppose 8 - 88/3*s + 14/3*s**2 = 0. Calculate s.
2/7, 6
Let a = 9 + -6. Let d(c) be the first derivative of 2/3*c**a + 0*c - c**2 - 3. Determine v so that d(v) = 0.
0, 1
Suppose 0 = -0*t - 2*t. Let m(s) be the first derivative of t*s - 1/12*s**4 + 1/9*s**3 + 1/6*s**2 - 2 - 1/15*s**5. Suppose m(j) = 0. Calculate j.
-1, 0, 1
Let u = -24 + 28. Let d(f) be the second derivative of 0 - 161/30*f**6 + 3/2*f**5 + 0*f**2 - 7/2*f**7 + 3*f**u + f - 4/3*f**3. Find z such that d(z) = 0.
-1, -2/3, 0, 2/7
Suppose -4 = -k - 1. Suppose a + k = 0, 4*x + 2 = -2*a - 4. Determine r so that x + 2/3*r**2 + 1/3*r**3 + 1/3*r = 0.
-1, 0
Let r = 53 - 49. Suppose 6/7*u**r - 8/7*u + 8/7*u**3 - 2/7 - 4/7*u**2 = 0. Calculate u.
-1, -1/3, 1
Let i(w) = 120*w**2 - 210*w + 350. Let l(n) = -11*n**2 + 19*n - 32. Let x(u) = 6*i(u) + 65*l(u). Factor x(b).
5*(b - 4)*(b - 1)
Find f, given that -2/7*f**2 - 50/7 + 20/7*f = 0.
5
Let i(u) = u**3 + u. Let a(x) = -4*x**3 - 4*x**2 + 24*x + 4. Suppose -3*y + 1 - 4 = 0. Let l(b) = y*a(b) + 10*i(b). Let l(r) = 0. Calculate r.
-1, -2/7, 1
Let u = 18 - 14. Let l(b) be the third derivative of -7/9*b**u + 2*b**2 + 61/90*b**5 + 0 + 1/35*b**7 + 4/9*b**3 + 0*b - 7/30*b**6. Suppose l(n) = 0. What is n?
1/3, 2
Let l(a) be the third derivative of a**6/60 + a**5/30 - a**4/12 - a**3/3 + 2*a**2. Factor l(t).
2*(t - 1)*(t + 1)**2
Suppose v + i + 3*i + 6 = 0, -i - 2 = 0. Suppose -v = -d + 2. Factor 98*b**d + 40*b + 8 + 0 + 0 - 140*b**3 - 6*b**2.
2*(b - 1)**2*(7*b + 2)**2
Suppose 80/3*o - 15*o**2 + 20/3 = 0. What is o?
-2/9, 2
Let m = -6 - -11. Let f(k) be the third derivative of k**2 + 1/420*k**7 - 1/120*k**m + 0*k**6 + 0*k + 0*k**3 + 0 + 0*k**4. Determine n so that f(n) = 0.
-1, 0, 1
Let b be (-2 - (-678)/210) + 1/5. Factor 26/7*q + b*q**5 + 4/7 + 44/7*q**4 + 76/7*q**3 + 64/7*q**2.
2*(q + 1)**4*(5*q + 2)/7
Suppose 4*a = -0*a + 204. Let b = -99/2 + a. What is u in 0 + 0*u - b*u**3 - u**2 - 1/2*u**4 = 0?
-2, -1, 0
Factor -11/3*x**4 - 25/3*x**2 + 0*x + 35/3*x**3 + 1/3*x**5 + 0.
x**2*(x - 5)**2*(x - 1)/3
Let f = -21/47 + 377/423. Suppose 0 - 2/9*w**2 + f*w = 0. Calculate w.
0, 2
Let s = 4/9 - -7/45. Factor -3/5*r - 3/5*r**4 + 0 + s*r**2 + 3/5*r**3.
-3*r*(r - 1)**2*(r + 1)/5
Solve 6*c**2 - 2*c**2 + 2 - 8*c + 2 = 0.
1
Let c = -18 - -21. Factor -16*p**4 + 3*p**c - p**3 + 2*p**3.
-4*p**3*(4*p - 1)
Let g be 2*(-4 - -3) - -3. Factor -l**2 + 4*l**3 + l**3 - l - l**3 + g - 3*l**3.
(l - 1)**2*(l + 1)
Let s = 536/385 - -2/55. Determine q so that 0 - 4/7*q + s*q**2 + 2*q**3 = 0.
-1, 0, 2/7
Let n = 8 - 10. Let b be 7 + -6 + n/6. Solve -1/3 + b*t**2 + 0*t**3 - 1/3*t**4 + 0*t = 0.
-1, 1
Let a(v) be the second derivative of 0 + 2*v**3 - 9/5*v**5 + 4*v - 3/2*v**2 + 1/2*v**4 - 9/10*v**6. Factor a(d).
-3*(d + 1)**2*(3*d - 1)**2
Let f = -270 - -272. Suppose 2*u + 6 = 5*m - 9, -5*m - 4*u + 15 = 0. Suppose -8/7 - 24/7*z + 10/7*z**m - 6/7*z**f = 0. What is z?
-1, -2/5, 2
Let j(s) = s**3 + s**2 - 1. Let y(q) = -4*q**3 + q - 4*q**2 + 3 - 3 + 2 + 2. Let g(r) = -6*j(r) - 2*y(r). Factor g(p).
2*(p - 1)*(p + 1)**2
Let x(c) = 4*c**2 - 60*c + 2. Let y be x(15). Factor -y*a - 4/3 - 2/3*a**2.
-2*(a + 1)*(a + 2)/3
Let n = -87/80 - -27/16. Let 9/5*j**4 + 3/5*j**5 + 6/5*j**3 - n - 6/5*j**2 - 9/5*j = 0. Calculate j.
-1, 1
Let t(p) be the first derivative of -p**6/120 + 3*p**5/40 - p**4/4 - 4*p**3/3 - 4. Let d(o) be the third derivative of t(o). Determine r, given that d(r) = 0.
1, 2
Let g(h) = 20*h**4 - 20*h**3 - 4*h**2 + 4*h. Let z(o) = -4*o**4 + 4*o**3 + o**2 - o. Let s(w) = 3*g(w) + 16*z(w). Determine f, given that s(f) = 0.
-1, 0, 1
Factor o**2 + 6/5*o + 1/5.
(o + 1)*(5*o + 1)/5
Let y = 6 - 8. Let p be 3*1/3 - y. Let a**2 - 2*a**3 + 7*a**p + 9*a**4 + 4*a**5 - a**4 = 0. What is a?
-1, -1/2, 0
Let d(n) = 85*n**4 + 25*n**3 - 60*n**2 - 25*n + 25. Let t(q) = 7*q**4 + 2*q**3 - 5*q**2 - 2*q + 2. Let l(f) = 2*d(f) - 25*t(f). Suppose l(s) = 0. What is s?
-1, 0, 1
Let s be -1 + 1 - -2 - 0/(-8). Factor -4/3*a + 2/3 + 2/3*a**s.
2*(a - 1)**2/3
Let d(f) be the first derivative of -f**5/90 + f**4/18 - f**3/9 + 5*f**2/2 + 6. Let m(b) be the second derivative of d(b). Factor m(l).
-2*(l - 1)**2/3
Factor 3/11*q**5 + 8/11*q**3 + q**4 - 4/11*q**2 + 0 + 0*q.
q**2*(q + 2)**2*(3*q - 1)/11
Let n(w) = -4*w - 2. Let o be n(-11). Determine v, given that 32*v**2 + 50*v**4 + 7*v**5 - 4*v - 87*v**3 + 44*v**4 - o*v**5 = 0.
0, 2/7, 2/5, 1
Let k(u) be the second derivative of u**5/20 - u**3/2 - u**2 - 3*u. Solve k(q) = 0 for q.
-1, 2
Let x(j